/* Generated by Cython 3.0.10 */

/* BEGIN: Cython Metadata
{
    "distutils": {
        "name": "fontTools.misc.bezierTools",
        "sources": [
            "Lib/fontTools/misc/bezierTools.py"
        ]
    },
    "module_name": "fontTools.misc.bezierTools"
}
END: Cython Metadata */

#ifndef PY_SSIZE_T_CLEAN
#define PY_SSIZE_T_CLEAN
#endif /* PY_SSIZE_T_CLEAN */
#if defined(CYTHON_LIMITED_API) && 0
  #ifndef Py_LIMITED_API
    #if CYTHON_LIMITED_API+0 > 0x03030000
      #define Py_LIMITED_API CYTHON_LIMITED_API
    #else
      #define Py_LIMITED_API 0x03030000
    #endif
  #endif
#endif

#include "Python.h"
#ifndef Py_PYTHON_H
    #error Python headers needed to compile C extensions, please install development version of Python.
#elif PY_VERSION_HEX < 0x02070000 || (0x03000000 <= PY_VERSION_HEX && PY_VERSION_HEX < 0x03030000)
    #error Cython requires Python 2.7+ or Python 3.3+.
#else
#if defined(CYTHON_LIMITED_API) && CYTHON_LIMITED_API
#define __PYX_EXTRA_ABI_MODULE_NAME "limited"
#else
#define __PYX_EXTRA_ABI_MODULE_NAME ""
#endif
#define CYTHON_ABI "3_0_10" __PYX_EXTRA_ABI_MODULE_NAME
#define __PYX_ABI_MODULE_NAME "_cython_" CYTHON_ABI
#define __PYX_TYPE_MODULE_PREFIX __PYX_ABI_MODULE_NAME "."
#define CYTHON_HEX_VERSION 0x03000AF0
#define CYTHON_FUTURE_DIVISION 1
#include <stddef.h>
#ifndef offsetof
  #define offsetof(type, member) ( (size_t) & ((type*)0) -> member )
#endif
#if !defined(_WIN32) && !defined(WIN32) && !defined(MS_WINDOWS)
  #ifndef __stdcall
    #define __stdcall
  #endif
  #ifndef __cdecl
    #define __cdecl
  #endif
  #ifndef __fastcall
    #define __fastcall
  #endif
#endif
#ifndef DL_IMPORT
  #define DL_IMPORT(t) t
#endif
#ifndef DL_EXPORT
  #define DL_EXPORT(t) t
#endif
#define __PYX_COMMA ,
#ifndef HAVE_LONG_LONG
  #define HAVE_LONG_LONG
#endif
#ifndef PY_LONG_LONG
  #define PY_LONG_LONG LONG_LONG
#endif
#ifndef Py_HUGE_VAL
  #define Py_HUGE_VAL HUGE_VAL
#endif
#define __PYX_LIMITED_VERSION_HEX PY_VERSION_HEX
#if defined(GRAALVM_PYTHON)
  /* For very preliminary testing purposes. Most variables are set the same as PyPy.
     The existence of this section does not imply that anything works or is even tested */
  #define CYTHON_COMPILING_IN_PYPY 0
  #define CYTHON_COMPILING_IN_CPYTHON 0
  #define CYTHON_COMPILING_IN_LIMITED_API 0
  #define CYTHON_COMPILING_IN_GRAAL 1
  #define CYTHON_COMPILING_IN_NOGIL 0
  #undef CYTHON_USE_TYPE_SLOTS
  #define CYTHON_USE_TYPE_SLOTS 0
  #undef CYTHON_USE_TYPE_SPECS
  #define CYTHON_USE_TYPE_SPECS 0
  #undef CYTHON_USE_PYTYPE_LOOKUP
  #define CYTHON_USE_PYTYPE_LOOKUP 0
  #if PY_VERSION_HEX < 0x03050000
    #undef CYTHON_USE_ASYNC_SLOTS
    #define CYTHON_USE_ASYNC_SLOTS 0
  #elif !defined(CYTHON_USE_ASYNC_SLOTS)
    #define CYTHON_USE_ASYNC_SLOTS 1
  #endif
  #undef CYTHON_USE_PYLIST_INTERNALS
  #define CYTHON_USE_PYLIST_INTERNALS 0
  #undef CYTHON_USE_UNICODE_INTERNALS
  #define CYTHON_USE_UNICODE_INTERNALS 0
  #undef CYTHON_USE_UNICODE_WRITER
  #define CYTHON_USE_UNICODE_WRITER 0
  #undef CYTHON_USE_PYLONG_INTERNALS
  #define CYTHON_USE_PYLONG_INTERNALS 0
  #undef CYTHON_AVOID_BORROWED_REFS
  #define CYTHON_AVOID_BORROWED_REFS 1
  #undef CYTHON_ASSUME_SAFE_MACROS
  #define CYTHON_ASSUME_SAFE_MACROS 0
  #undef CYTHON_UNPACK_METHODS
  #define CYTHON_UNPACK_METHODS 0
  #undef CYTHON_FAST_THREAD_STATE
  #define CYTHON_FAST_THREAD_STATE 0
  #undef CYTHON_FAST_GIL
  #define CYTHON_FAST_GIL 0
  #undef CYTHON_METH_FASTCALL
  #define CYTHON_METH_FASTCALL 0
  #undef CYTHON_FAST_PYCALL
  #define CYTHON_FAST_PYCALL 0
  #ifndef CYTHON_PEP487_INIT_SUBCLASS
    #define CYTHON_PEP487_INIT_SUBCLASS (PY_MAJOR_VERSION >= 3)
  #endif
  #undef CYTHON_PEP489_MULTI_PHASE_INIT
  #define CYTHON_PEP489_MULTI_PHASE_INIT 1
  #undef CYTHON_USE_MODULE_STATE
  #define CYTHON_USE_MODULE_STATE 0
  #undef CYTHON_USE_TP_FINALIZE
  #define CYTHON_USE_TP_FINALIZE 0
  #undef CYTHON_USE_DICT_VERSIONS
  #define CYTHON_USE_DICT_VERSIONS 0
  #undef CYTHON_USE_EXC_INFO_STACK
  #define CYTHON_USE_EXC_INFO_STACK 0
  #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC
    #define CYTHON_UPDATE_DESCRIPTOR_DOC 0
  #endif
  #undef CYTHON_USE_FREELISTS
  #define CYTHON_USE_FREELISTS 0
#elif defined(PYPY_VERSION)
  #define CYTHON_COMPILING_IN_PYPY 1
  #define CYTHON_COMPILING_IN_CPYTHON 0
  #define CYTHON_COMPILING_IN_LIMITED_API 0
  #define CYTHON_COMPILING_IN_GRAAL 0
  #define CYTHON_COMPILING_IN_NOGIL 0
  #undef CYTHON_USE_TYPE_SLOTS
  #define CYTHON_USE_TYPE_SLOTS 0
  #ifndef CYTHON_USE_TYPE_SPECS
    #define CYTHON_USE_TYPE_SPECS 0
  #endif
  #undef CYTHON_USE_PYTYPE_LOOKUP
  #define CYTHON_USE_PYTYPE_LOOKUP 0
  #if PY_VERSION_HEX < 0x03050000
    #undef CYTHON_USE_ASYNC_SLOTS
    #define CYTHON_USE_ASYNC_SLOTS 0
  #elif !defined(CYTHON_USE_ASYNC_SLOTS)
    #define CYTHON_USE_ASYNC_SLOTS 1
  #endif
  #undef CYTHON_USE_PYLIST_INTERNALS
  #define CYTHON_USE_PYLIST_INTERNALS 0
  #undef CYTHON_USE_UNICODE_INTERNALS
  #define CYTHON_USE_UNICODE_INTERNALS 0
  #undef CYTHON_USE_UNICODE_WRITER
  #define CYTHON_USE_UNICODE_WRITER 0
  #undef CYTHON_USE_PYLONG_INTERNALS
  #define CYTHON_USE_PYLONG_INTERNALS 0
  #undef CYTHON_AVOID_BORROWED_REFS
  #define CYTHON_AVOID_BORROWED_REFS 1
  #undef CYTHON_ASSUME_SAFE_MACROS
  #define CYTHON_ASSUME_SAFE_MACROS 0
  #undef CYTHON_UNPACK_METHODS
  #define CYTHON_UNPACK_METHODS 0
  #undef CYTHON_FAST_THREAD_STATE
  #define CYTHON_FAST_THREAD_STATE 0
  #undef CYTHON_FAST_GIL
  #define CYTHON_FAST_GIL 0
  #undef CYTHON_METH_FASTCALL
  #define CYTHON_METH_FASTCALL 0
  #undef CYTHON_FAST_PYCALL
  #define CYTHON_FAST_PYCALL 0
  #ifndef CYTHON_PEP487_INIT_SUBCLASS
    #define CYTHON_PEP487_INIT_SUBCLASS (PY_MAJOR_VERSION >= 3)
  #endif
  #if PY_VERSION_HEX < 0x03090000
    #undef CYTHON_PEP489_MULTI_PHASE_INIT
    #define CYTHON_PEP489_MULTI_PHASE_INIT 0
  #elif !defined(CYTHON_PEP489_MULTI_PHASE_INIT)
    #define CYTHON_PEP489_MULTI_PHASE_INIT 1
  #endif
  #undef CYTHON_USE_MODULE_STATE
  #define CYTHON_USE_MODULE_STATE 0
  #undef CYTHON_USE_TP_FINALIZE
  #define CYTHON_USE_TP_FINALIZE (PY_VERSION_HEX >= 0x030400a1 && PYPY_VERSION_NUM >= 0x07030C00)
  #undef CYTHON_USE_DICT_VERSIONS
  #define CYTHON_USE_DICT_VERSIONS 0
  #undef CYTHON_USE_EXC_INFO_STACK
  #define CYTHON_USE_EXC_INFO_STACK 0
  #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC
    #define CYTHON_UPDATE_DESCRIPTOR_DOC 0
  #endif
  #undef CYTHON_USE_FREELISTS
  #define CYTHON_USE_FREELISTS 0
#elif defined(CYTHON_LIMITED_API)
  #ifdef Py_LIMITED_API
    #undef __PYX_LIMITED_VERSION_HEX
    #define __PYX_LIMITED_VERSION_HEX Py_LIMITED_API
  #endif
  #define CYTHON_COMPILING_IN_PYPY 0
  #define CYTHON_COMPILING_IN_CPYTHON 0
  #define CYTHON_COMPILING_IN_LIMITED_API 1
  #define CYTHON_COMPILING_IN_GRAAL 0
  #define CYTHON_COMPILING_IN_NOGIL 0
  #undef CYTHON_CLINE_IN_TRACEBACK
  #define CYTHON_CLINE_IN_TRACEBACK 0
  #undef CYTHON_USE_TYPE_SLOTS
  #define CYTHON_USE_TYPE_SLOTS 0
  #undef CYTHON_USE_TYPE_SPECS
  #define CYTHON_USE_TYPE_SPECS 1
  #undef CYTHON_USE_PYTYPE_LOOKUP
  #define CYTHON_USE_PYTYPE_LOOKUP 0
  #undef CYTHON_USE_ASYNC_SLOTS
  #define CYTHON_USE_ASYNC_SLOTS 0
  #undef CYTHON_USE_PYLIST_INTERNALS
  #define CYTHON_USE_PYLIST_INTERNALS 0
  #undef CYTHON_USE_UNICODE_INTERNALS
  #define CYTHON_USE_UNICODE_INTERNALS 0
  #ifndef CYTHON_USE_UNICODE_WRITER
    #define CYTHON_USE_UNICODE_WRITER 0
  #endif
  #undef CYTHON_USE_PYLONG_INTERNALS
  #define CYTHON_USE_PYLONG_INTERNALS 0
  #ifndef CYTHON_AVOID_BORROWED_REFS
    #define CYTHON_AVOID_BORROWED_REFS 0
  #endif
  #undef CYTHON_ASSUME_SAFE_MACROS
  #define CYTHON_ASSUME_SAFE_MACROS 0
  #undef CYTHON_UNPACK_METHODS
  #define CYTHON_UNPACK_METHODS 0
  #undef CYTHON_FAST_THREAD_STATE
  #define CYTHON_FAST_THREAD_STATE 0
  #undef CYTHON_FAST_GIL
  #define CYTHON_FAST_GIL 0
  #undef CYTHON_METH_FASTCALL
  #define CYTHON_METH_FASTCALL 0
  #undef CYTHON_FAST_PYCALL
  #define CYTHON_FAST_PYCALL 0
  #ifndef CYTHON_PEP487_INIT_SUBCLASS
    #define CYTHON_PEP487_INIT_SUBCLASS 1
  #endif
  #undef CYTHON_PEP489_MULTI_PHASE_INIT
  #define CYTHON_PEP489_MULTI_PHASE_INIT 0
  #undef CYTHON_USE_MODULE_STATE
  #define CYTHON_USE_MODULE_STATE 1
  #ifndef CYTHON_USE_TP_FINALIZE
    #define CYTHON_USE_TP_FINALIZE 0
  #endif
  #undef CYTHON_USE_DICT_VERSIONS
  #define CYTHON_USE_DICT_VERSIONS 0
  #undef CYTHON_USE_EXC_INFO_STACK
  #define CYTHON_USE_EXC_INFO_STACK 0
  #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC
    #define CYTHON_UPDATE_DESCRIPTOR_DOC 0
  #endif
  #undef CYTHON_USE_FREELISTS
  #define CYTHON_USE_FREELISTS 0
#elif defined(Py_GIL_DISABLED) || defined(Py_NOGIL)
  #define CYTHON_COMPILING_IN_PYPY 0
  #define CYTHON_COMPILING_IN_CPYTHON 0
  #define CYTHON_COMPILING_IN_LIMITED_API 0
  #define CYTHON_COMPILING_IN_GRAAL 0
  #define CYTHON_COMPILING_IN_NOGIL 1
  #ifndef CYTHON_USE_TYPE_SLOTS
    #define CYTHON_USE_TYPE_SLOTS 1
  #endif
  #ifndef CYTHON_USE_TYPE_SPECS
    #define CYTHON_USE_TYPE_SPECS 0
  #endif
  #undef CYTHON_USE_PYTYPE_LOOKUP
  #define CYTHON_USE_PYTYPE_LOOKUP 0
  #ifndef CYTHON_USE_ASYNC_SLOTS
    #define CYTHON_USE_ASYNC_SLOTS 1
  #endif
  #ifndef CYTHON_USE_PYLONG_INTERNALS
    #define CYTHON_USE_PYLONG_INTERNALS 0
  #endif
  #undef CYTHON_USE_PYLIST_INTERNALS
  #define CYTHON_USE_PYLIST_INTERNALS 0
  #ifndef CYTHON_USE_UNICODE_INTERNALS
    #define CYTHON_USE_UNICODE_INTERNALS 1
  #endif
  #undef CYTHON_USE_UNICODE_WRITER
  #define CYTHON_USE_UNICODE_WRITER 0
  #ifndef CYTHON_AVOID_BORROWED_REFS
    #define CYTHON_AVOID_BORROWED_REFS 0
  #endif
  #ifndef CYTHON_ASSUME_SAFE_MACROS
    #define CYTHON_ASSUME_SAFE_MACROS 1
  #endif
  #ifndef CYTHON_UNPACK_METHODS
    #define CYTHON_UNPACK_METHODS 1
  #endif
  #undef CYTHON_FAST_THREAD_STATE
  #define CYTHON_FAST_THREAD_STATE 0
  #undef CYTHON_FAST_GIL
  #define CYTHON_FAST_GIL 0
  #ifndef CYTHON_METH_FASTCALL
    #define CYTHON_METH_FASTCALL 1
  #endif
  #undef CYTHON_FAST_PYCALL
  #define CYTHON_FAST_PYCALL 0
  #ifndef CYTHON_PEP487_INIT_SUBCLASS
    #define CYTHON_PEP487_INIT_SUBCLASS 1
  #endif
  #ifndef CYTHON_PEP489_MULTI_PHASE_INIT
    #define CYTHON_PEP489_MULTI_PHASE_INIT 1
  #endif
  #ifndef CYTHON_USE_MODULE_STATE
    #define CYTHON_USE_MODULE_STATE 0
  #endif
  #ifndef CYTHON_USE_TP_FINALIZE
    #define CYTHON_USE_TP_FINALIZE 1
  #endif
  #undef CYTHON_USE_DICT_VERSIONS
  #define CYTHON_USE_DICT_VERSIONS 0
  #undef CYTHON_USE_EXC_INFO_STACK
  #define CYTHON_USE_EXC_INFO_STACK 0
  #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC
    #define CYTHON_UPDATE_DESCRIPTOR_DOC 1
  #endif
  #ifndef CYTHON_USE_FREELISTS
    #define CYTHON_USE_FREELISTS 0
  #endif
#else
  #define CYTHON_COMPILING_IN_PYPY 0
  #define CYTHON_COMPILING_IN_CPYTHON 1
  #define CYTHON_COMPILING_IN_LIMITED_API 0
  #define CYTHON_COMPILING_IN_GRAAL 0
  #define CYTHON_COMPILING_IN_NOGIL 0
  #ifndef CYTHON_USE_TYPE_SLOTS
    #define CYTHON_USE_TYPE_SLOTS 1
  #endif
  #ifndef CYTHON_USE_TYPE_SPECS
    #define CYTHON_USE_TYPE_SPECS 0
  #endif
  #ifndef CYTHON_USE_PYTYPE_LOOKUP
    #define CYTHON_USE_PYTYPE_LOOKUP 1
  #endif
  #if PY_MAJOR_VERSION < 3
    #undef CYTHON_USE_ASYNC_SLOTS
    #define CYTHON_USE_ASYNC_SLOTS 0
  #elif !defined(CYTHON_USE_ASYNC_SLOTS)
    #define CYTHON_USE_ASYNC_SLOTS 1
  #endif
  #ifndef CYTHON_USE_PYLONG_INTERNALS
    #define CYTHON_USE_PYLONG_INTERNALS 1
  #endif
  #ifndef CYTHON_USE_PYLIST_INTERNALS
    #define CYTHON_USE_PYLIST_INTERNALS 1
  #endif
  #ifndef CYTHON_USE_UNICODE_INTERNALS
    #define CYTHON_USE_UNICODE_INTERNALS 1
  #endif
  #if PY_VERSION_HEX < 0x030300F0 || PY_VERSION_HEX >= 0x030B00A2
    #undef CYTHON_USE_UNICODE_WRITER
    #define CYTHON_USE_UNICODE_WRITER 0
  #elif !defined(CYTHON_USE_UNICODE_WRITER)
    #define CYTHON_USE_UNICODE_WRITER 1
  #endif
  #ifndef CYTHON_AVOID_BORROWED_REFS
    #define CYTHON_AVOID_BORROWED_REFS 0
  #endif
  #ifndef CYTHON_ASSUME_SAFE_MACROS
    #define CYTHON_ASSUME_SAFE_MACROS 1
  #endif
  #ifndef CYTHON_UNPACK_METHODS
    #define CYTHON_UNPACK_METHODS 1
  #endif
  #ifndef CYTHON_FAST_THREAD_STATE
    #define CYTHON_FAST_THREAD_STATE 1
  #endif
  #ifndef CYTHON_FAST_GIL
    #define CYTHON_FAST_GIL (PY_MAJOR_VERSION < 3 || PY_VERSION_HEX >= 0x03060000 && PY_VERSION_HEX < 0x030C00A6)
  #endif
  #ifndef CYTHON_METH_FASTCALL
    #define CYTHON_METH_FASTCALL (PY_VERSION_HEX >= 0x030700A1)
  #endif
  #ifndef CYTHON_FAST_PYCALL
    #define CYTHON_FAST_PYCALL 1
  #endif
  #ifndef CYTHON_PEP487_INIT_SUBCLASS
    #define CYTHON_PEP487_INIT_SUBCLASS 1
  #endif
  #if PY_VERSION_HEX < 0x03050000
    #undef CYTHON_PEP489_MULTI_PHASE_INIT
    #define CYTHON_PEP489_MULTI_PHASE_INIT 0
  #elif !defined(CYTHON_PEP489_MULTI_PHASE_INIT)
    #define CYTHON_PEP489_MULTI_PHASE_INIT 1
  #endif
  #ifndef CYTHON_USE_MODULE_STATE
    #define CYTHON_USE_MODULE_STATE 0
  #endif
  #if PY_VERSION_HEX < 0x030400a1
    #undef CYTHON_USE_TP_FINALIZE
    #define CYTHON_USE_TP_FINALIZE 0
  #elif !defined(CYTHON_USE_TP_FINALIZE)
    #define CYTHON_USE_TP_FINALIZE 1
  #endif
  #if PY_VERSION_HEX < 0x030600B1
    #undef CYTHON_USE_DICT_VERSIONS
    #define CYTHON_USE_DICT_VERSIONS 0
  #elif !defined(CYTHON_USE_DICT_VERSIONS)
    #define CYTHON_USE_DICT_VERSIONS  (PY_VERSION_HEX < 0x030C00A5)
  #endif
  #if PY_VERSION_HEX < 0x030700A3
    #undef CYTHON_USE_EXC_INFO_STACK
    #define CYTHON_USE_EXC_INFO_STACK 0
  #elif !defined(CYTHON_USE_EXC_INFO_STACK)
    #define CYTHON_USE_EXC_INFO_STACK 1
  #endif
  #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC
    #define CYTHON_UPDATE_DESCRIPTOR_DOC 1
  #endif
  #ifndef CYTHON_USE_FREELISTS
    #define CYTHON_USE_FREELISTS 1
  #endif
#endif
#if !defined(CYTHON_FAST_PYCCALL)
#define CYTHON_FAST_PYCCALL  (CYTHON_FAST_PYCALL && PY_VERSION_HEX >= 0x030600B1)
#endif
#if !defined(CYTHON_VECTORCALL)
#define CYTHON_VECTORCALL  (CYTHON_FAST_PYCCALL && PY_VERSION_HEX >= 0x030800B1)
#endif
#define CYTHON_BACKPORT_VECTORCALL (CYTHON_METH_FASTCALL && PY_VERSION_HEX < 0x030800B1)
#if CYTHON_USE_PYLONG_INTERNALS
  #if PY_MAJOR_VERSION < 3
    #include "longintrepr.h"
  #endif
  #undef SHIFT
  #undef BASE
  #undef MASK
  #ifdef SIZEOF_VOID_P
    enum { __pyx_check_sizeof_voidp = 1 / (int)(SIZEOF_VOID_P == sizeof(void*)) };
  #endif
#endif
#ifndef __has_attribute
  #define __has_attribute(x) 0
#endif
#ifndef __has_cpp_attribute
  #define __has_cpp_attribute(x) 0
#endif
#ifndef CYTHON_RESTRICT
  #if defined(__GNUC__)
    #define CYTHON_RESTRICT __restrict__
  #elif defined(_MSC_VER) && _MSC_VER >= 1400
    #define CYTHON_RESTRICT __restrict
  #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define CYTHON_RESTRICT restrict
  #else
    #define CYTHON_RESTRICT
  #endif
#endif
#ifndef CYTHON_UNUSED
  #if defined(__cplusplus)
    /* for clang __has_cpp_attribute(maybe_unused) is true even before C++17
     * but leads to warnings with -pedantic, since it is a C++17 feature */
    #if ((defined(_MSVC_LANG) && _MSVC_LANG >= 201703L) || __cplusplus >= 201703L)
      #if __has_cpp_attribute(maybe_unused)
        #define CYTHON_UNUSED [[maybe_unused]]
      #endif
    #endif
  #endif
#endif
#ifndef CYTHON_UNUSED
# if defined(__GNUC__)
#   if !(defined(__cplusplus)) || (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 4))
#     define CYTHON_UNUSED __attribute__ ((__unused__))
#   else
#     define CYTHON_UNUSED
#   endif
# elif defined(__ICC) || (defined(__INTEL_COMPILER) && !defined(_MSC_VER))
#   define CYTHON_UNUSED __attribute__ ((__unused__))
# else
#   define CYTHON_UNUSED
# endif
#endif
#ifndef CYTHON_UNUSED_VAR
#  if defined(__cplusplus)
     template<class T> void CYTHON_UNUSED_VAR( const T& ) { }
#  else
#    define CYTHON_UNUSED_VAR(x) (void)(x)
#  endif
#endif
#ifndef CYTHON_MAYBE_UNUSED_VAR
  #define CYTHON_MAYBE_UNUSED_VAR(x) CYTHON_UNUSED_VAR(x)
#endif
#ifndef CYTHON_NCP_UNUSED
# if CYTHON_COMPILING_IN_CPYTHON
#  define CYTHON_NCP_UNUSED
# else
#  define CYTHON_NCP_UNUSED CYTHON_UNUSED
# endif
#endif
#ifndef CYTHON_USE_CPP_STD_MOVE
  #if defined(__cplusplus) && (\
    __cplusplus >= 201103L || (defined(_MSC_VER) && _MSC_VER >= 1600))
    #define CYTHON_USE_CPP_STD_MOVE 1
  #else
    #define CYTHON_USE_CPP_STD_MOVE 0
  #endif
#endif
#define __Pyx_void_to_None(void_result) ((void)(void_result), Py_INCREF(Py_None), Py_None)
#ifdef _MSC_VER
    #ifndef _MSC_STDINT_H_
        #if _MSC_VER < 1300
            typedef unsigned char     uint8_t;
            typedef unsigned short    uint16_t;
            typedef unsigned int      uint32_t;
        #else
            typedef unsigned __int8   uint8_t;
            typedef unsigned __int16  uint16_t;
            typedef unsigned __int32  uint32_t;
        #endif
    #endif
    #if _MSC_VER < 1300
        #ifdef _WIN64
            typedef unsigned long long  __pyx_uintptr_t;
        #else
            typedef unsigned int        __pyx_uintptr_t;
        #endif
    #else
        #ifdef _WIN64
            typedef unsigned __int64    __pyx_uintptr_t;
        #else
            typedef unsigned __int32    __pyx_uintptr_t;
        #endif
    #endif
#else
    #include <stdint.h>
    typedef uintptr_t  __pyx_uintptr_t;
#endif
#ifndef CYTHON_FALLTHROUGH
  #if defined(__cplusplus)
    /* for clang __has_cpp_attribute(fallthrough) is true even before C++17
     * but leads to warnings with -pedantic, since it is a C++17 feature */
    #if ((defined(_MSVC_LANG) && _MSVC_LANG >= 201703L) || __cplusplus >= 201703L)
      #if __has_cpp_attribute(fallthrough)
        #define CYTHON_FALLTHROUGH [[fallthrough]]
      #endif
    #endif
    #ifndef CYTHON_FALLTHROUGH
      #if __has_cpp_attribute(clang::fallthrough)
        #define CYTHON_FALLTHROUGH [[clang::fallthrough]]
      #elif __has_cpp_attribute(gnu::fallthrough)
        #define CYTHON_FALLTHROUGH [[gnu::fallthrough]]
      #endif
    #endif
  #endif
  #ifndef CYTHON_FALLTHROUGH
    #if __has_attribute(fallthrough)
      #define CYTHON_FALLTHROUGH __attribute__((fallthrough))
    #else
      #define CYTHON_FALLTHROUGH
    #endif
  #endif
  #if defined(__clang__) && defined(__apple_build_version__)
    #if __apple_build_version__ < 7000000
      #undef  CYTHON_FALLTHROUGH
      #define CYTHON_FALLTHROUGH
    #endif
  #endif
#endif
#ifdef __cplusplus
  template <typename T>
  struct __PYX_IS_UNSIGNED_IMPL {static const bool value = T(0) < T(-1);};
  #define __PYX_IS_UNSIGNED(type) (__PYX_IS_UNSIGNED_IMPL<type>::value)
#else
  #define __PYX_IS_UNSIGNED(type) (((type)-1) > 0)
#endif
#if CYTHON_COMPILING_IN_PYPY == 1
  #define __PYX_NEED_TP_PRINT_SLOT  (PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x030A0000)
#else
  #define __PYX_NEED_TP_PRINT_SLOT  (PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000)
#endif
#define __PYX_REINTERPRET_FUNCION(func_pointer, other_pointer) ((func_pointer)(void(*)(void))(other_pointer))

#ifndef CYTHON_INLINE
  #if defined(__clang__)
    #define CYTHON_INLINE __inline__ __attribute__ ((__unused__))
  #elif defined(__GNUC__)
    #define CYTHON_INLINE __inline__
  #elif defined(_MSC_VER)
    #define CYTHON_INLINE __inline
  #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define CYTHON_INLINE inline
  #else
    #define CYTHON_INLINE
  #endif
#endif

#define __PYX_BUILD_PY_SSIZE_T "n"
#define CYTHON_FORMAT_SSIZE_T "z"
#if PY_MAJOR_VERSION < 3
  #define __Pyx_BUILTIN_MODULE_NAME "__builtin__"
  #define __Pyx_DefaultClassType PyClass_Type
  #define __Pyx_PyCode_New(a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
          PyCode_New(a+k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
#else
  #define __Pyx_BUILTIN_MODULE_NAME "builtins"
  #define __Pyx_DefaultClassType PyType_Type
#if CYTHON_COMPILING_IN_LIMITED_API
    static CYTHON_INLINE PyObject* __Pyx_PyCode_New(int a, int p, int k, int l, int s, int f,
                                                    PyObject *code, PyObject *c, PyObject* n, PyObject *v,
                                                    PyObject *fv, PyObject *cell, PyObject* fn,
                                                    PyObject *name, int fline, PyObject *lnos) {
        PyObject *exception_table = NULL;
        PyObject *types_module=NULL, *code_type=NULL, *result=NULL;
        #if __PYX_LIMITED_VERSION_HEX < 0x030B0000
        PyObject *version_info;
        PyObject *py_minor_version = NULL;
        #endif
        long minor_version = 0;
        PyObject *type, *value, *traceback;
        PyErr_Fetch(&type, &value, &traceback);
        #if __PYX_LIMITED_VERSION_HEX >= 0x030B0000
        minor_version = 11;
        #else
        if (!(version_info = PySys_GetObject("version_info"))) goto end;
        if (!(py_minor_version = PySequence_GetItem(version_info, 1))) goto end;
        minor_version = PyLong_AsLong(py_minor_version);
        Py_DECREF(py_minor_version);
        if (minor_version == -1 && PyErr_Occurred()) goto end;
        #endif
        if (!(types_module = PyImport_ImportModule("types"))) goto end;
        if (!(code_type = PyObject_GetAttrString(types_module, "CodeType"))) goto end;
        if (minor_version <= 7) {
            (void)p;
            result = PyObject_CallFunction(code_type, "iiiiiOOOOOOiOO", a, k, l, s, f, code,
                          c, n, v, fn, name, fline, lnos, fv, cell);
        } else if (minor_version <= 10) {
            result = PyObject_CallFunction(code_type, "iiiiiiOOOOOOiOO", a,p, k, l, s, f, code,
                          c, n, v, fn, name, fline, lnos, fv, cell);
        } else {
            if (!(exception_table = PyBytes_FromStringAndSize(NULL, 0))) goto end;
            result = PyObject_CallFunction(code_type, "iiiiiiOOOOOOOiOO", a,p, k, l, s, f, code,
                          c, n, v, fn, name, name, fline, lnos, exception_table, fv, cell);
        }
    end:
        Py_XDECREF(code_type);
        Py_XDECREF(exception_table);
        Py_XDECREF(types_module);
        if (type) {
            PyErr_Restore(type, value, traceback);
        }
        return result;
    }
    #ifndef CO_OPTIMIZED
    #define CO_OPTIMIZED 0x0001
    #endif
    #ifndef CO_NEWLOCALS
    #define CO_NEWLOCALS 0x0002
    #endif
    #ifndef CO_VARARGS
    #define CO_VARARGS 0x0004
    #endif
    #ifndef CO_VARKEYWORDS
    #define CO_VARKEYWORDS 0x0008
    #endif
    #ifndef CO_ASYNC_GENERATOR
    #define CO_ASYNC_GENERATOR 0x0200
    #endif
    #ifndef CO_GENERATOR
    #define CO_GENERATOR 0x0020
    #endif
    #ifndef CO_COROUTINE
    #define CO_COROUTINE 0x0080
    #endif
#elif PY_VERSION_HEX >= 0x030B0000
  static CYTHON_INLINE PyCodeObject* __Pyx_PyCode_New(int a, int p, int k, int l, int s, int f,
                                                    PyObject *code, PyObject *c, PyObject* n, PyObject *v,
                                                    PyObject *fv, PyObject *cell, PyObject* fn,
                                                    PyObject *name, int fline, PyObject *lnos) {
    PyCodeObject *result;
    PyObject *empty_bytes = PyBytes_FromStringAndSize("", 0);
    if (!empty_bytes) return NULL;
    result =
      #if PY_VERSION_HEX >= 0x030C0000
        PyUnstable_Code_NewWithPosOnlyArgs
      #else
        PyCode_NewWithPosOnlyArgs
      #endif
        (a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, name, fline, lnos, empty_bytes);
    Py_DECREF(empty_bytes);
    return result;
  }
#elif PY_VERSION_HEX >= 0x030800B2 && !CYTHON_COMPILING_IN_PYPY
  #define __Pyx_PyCode_New(a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
          PyCode_NewWithPosOnlyArgs(a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
#else
  #define __Pyx_PyCode_New(a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
          PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
#endif
#endif
#if PY_VERSION_HEX >= 0x030900A4 || defined(Py_IS_TYPE)
  #define __Pyx_IS_TYPE(ob, type) Py_IS_TYPE(ob, type)
#else
  #define __Pyx_IS_TYPE(ob, type) (((const PyObject*)ob)->ob_type == (type))
#endif
#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_Is)
  #define __Pyx_Py_Is(x, y)  Py_Is(x, y)
#else
  #define __Pyx_Py_Is(x, y) ((x) == (y))
#endif
#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_IsNone)
  #define __Pyx_Py_IsNone(ob) Py_IsNone(ob)
#else
  #define __Pyx_Py_IsNone(ob) __Pyx_Py_Is((ob), Py_None)
#endif
#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_IsTrue)
  #define __Pyx_Py_IsTrue(ob) Py_IsTrue(ob)
#else
  #define __Pyx_Py_IsTrue(ob) __Pyx_Py_Is((ob), Py_True)
#endif
#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_IsFalse)
  #define __Pyx_Py_IsFalse(ob) Py_IsFalse(ob)
#else
  #define __Pyx_Py_IsFalse(ob) __Pyx_Py_Is((ob), Py_False)
#endif
#define __Pyx_NoneAsNull(obj)  (__Pyx_Py_IsNone(obj) ? NULL : (obj))
#if PY_VERSION_HEX >= 0x030900F0 && !CYTHON_COMPILING_IN_PYPY
  #define __Pyx_PyObject_GC_IsFinalized(o) PyObject_GC_IsFinalized(o)
#else
  #define __Pyx_PyObject_GC_IsFinalized(o) _PyGC_FINALIZED(o)
#endif
#ifndef CO_COROUTINE
  #define CO_COROUTINE 0x80
#endif
#ifndef CO_ASYNC_GENERATOR
  #define CO_ASYNC_GENERATOR 0x200
#endif
#ifndef Py_TPFLAGS_CHECKTYPES
  #define Py_TPFLAGS_CHECKTYPES 0
#endif
#ifndef Py_TPFLAGS_HAVE_INDEX
  #define Py_TPFLAGS_HAVE_INDEX 0
#endif
#ifndef Py_TPFLAGS_HAVE_NEWBUFFER
  #define Py_TPFLAGS_HAVE_NEWBUFFER 0
#endif
#ifndef Py_TPFLAGS_HAVE_FINALIZE
  #define Py_TPFLAGS_HAVE_FINALIZE 0
#endif
#ifndef Py_TPFLAGS_SEQUENCE
  #define Py_TPFLAGS_SEQUENCE 0
#endif
#ifndef Py_TPFLAGS_MAPPING
  #define Py_TPFLAGS_MAPPING 0
#endif
#ifndef METH_STACKLESS
  #define METH_STACKLESS 0
#endif
#if PY_VERSION_HEX <= 0x030700A3 || !defined(METH_FASTCALL)
  #ifndef METH_FASTCALL
     #define METH_FASTCALL 0x80
  #endif
  typedef PyObject *(*__Pyx_PyCFunctionFast) (PyObject *self, PyObject *const *args, Py_ssize_t nargs);
  typedef PyObject *(*__Pyx_PyCFunctionFastWithKeywords) (PyObject *self, PyObject *const *args,
                                                          Py_ssize_t nargs, PyObject *kwnames);
#else
  #if PY_VERSION_HEX >= 0x030d00A4
  #  define __Pyx_PyCFunctionFast PyCFunctionFast
  #  define __Pyx_PyCFunctionFastWithKeywords PyCFunctionFastWithKeywords
  #else
  #  define __Pyx_PyCFunctionFast _PyCFunctionFast
  #  define __Pyx_PyCFunctionFastWithKeywords _PyCFunctionFastWithKeywords
  #endif
#endif
#if CYTHON_METH_FASTCALL
  #define __Pyx_METH_FASTCALL METH_FASTCALL
  #define __Pyx_PyCFunction_FastCall __Pyx_PyCFunctionFast
  #define __Pyx_PyCFunction_FastCallWithKeywords __Pyx_PyCFunctionFastWithKeywords
#else
  #define __Pyx_METH_FASTCALL METH_VARARGS
  #define __Pyx_PyCFunction_FastCall PyCFunction
  #define __Pyx_PyCFunction_FastCallWithKeywords PyCFunctionWithKeywords
#endif
#if CYTHON_VECTORCALL
  #define __pyx_vectorcallfunc vectorcallfunc
  #define __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET  PY_VECTORCALL_ARGUMENTS_OFFSET
  #define __Pyx_PyVectorcall_NARGS(n)  PyVectorcall_NARGS((size_t)(n))
#elif CYTHON_BACKPORT_VECTORCALL
  typedef PyObject *(*__pyx_vectorcallfunc)(PyObject *callable, PyObject *const *args,
                                            size_t nargsf, PyObject *kwnames);
  #define __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET  ((size_t)1 << (8 * sizeof(size_t) - 1))
  #define __Pyx_PyVectorcall_NARGS(n)  ((Py_ssize_t)(((size_t)(n)) & ~__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET))
#else
  #define __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET  0
  #define __Pyx_PyVectorcall_NARGS(n)  ((Py_ssize_t)(n))
#endif
#if PY_MAJOR_VERSION >= 0x030900B1
#define __Pyx_PyCFunction_CheckExact(func)  PyCFunction_CheckExact(func)
#else
#define __Pyx_PyCFunction_CheckExact(func)  PyCFunction_Check(func)
#endif
#define __Pyx_CyOrPyCFunction_Check(func)  PyCFunction_Check(func)
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_CyOrPyCFunction_GET_FUNCTION(func)  (((PyCFunctionObject*)(func))->m_ml->ml_meth)
#elif !CYTHON_COMPILING_IN_LIMITED_API
#define __Pyx_CyOrPyCFunction_GET_FUNCTION(func)  PyCFunction_GET_FUNCTION(func)
#endif
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_CyOrPyCFunction_GET_FLAGS(func)  (((PyCFunctionObject*)(func))->m_ml->ml_flags)
static CYTHON_INLINE PyObject* __Pyx_CyOrPyCFunction_GET_SELF(PyObject *func) {
    return (__Pyx_CyOrPyCFunction_GET_FLAGS(func) & METH_STATIC) ? NULL : ((PyCFunctionObject*)func)->m_self;
}
#endif
static CYTHON_INLINE int __Pyx__IsSameCFunction(PyObject *func, void *cfunc) {
#if CYTHON_COMPILING_IN_LIMITED_API
    return PyCFunction_Check(func) && PyCFunction_GetFunction(func) == (PyCFunction) cfunc;
#else
    return PyCFunction_Check(func) && PyCFunction_GET_FUNCTION(func) == (PyCFunction) cfunc;
#endif
}
#define __Pyx_IsSameCFunction(func, cfunc)   __Pyx__IsSameCFunction(func, cfunc)
#if __PYX_LIMITED_VERSION_HEX < 0x030900B1
  #define __Pyx_PyType_FromModuleAndSpec(m, s, b)  ((void)m, PyType_FromSpecWithBases(s, b))
  typedef PyObject *(*__Pyx_PyCMethod)(PyObject *, PyTypeObject *, PyObject *const *, size_t, PyObject *);
#else
  #define __Pyx_PyType_FromModuleAndSpec(m, s, b)  PyType_FromModuleAndSpec(m, s, b)
  #define __Pyx_PyCMethod  PyCMethod
#endif
#ifndef METH_METHOD
  #define METH_METHOD 0x200
#endif
#if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Malloc)
  #define PyObject_Malloc(s)   PyMem_Malloc(s)
  #define PyObject_Free(p)     PyMem_Free(p)
  #define PyObject_Realloc(p)  PyMem_Realloc(p)
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno)
#else
  #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno)  (frame)->f_lineno = (lineno)
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx_PyThreadState_Current PyThreadState_Get()
#elif !CYTHON_FAST_THREAD_STATE
  #define __Pyx_PyThreadState_Current PyThreadState_GET()
#elif PY_VERSION_HEX >= 0x030d00A1
  #define __Pyx_PyThreadState_Current PyThreadState_GetUnchecked()
#elif PY_VERSION_HEX >= 0x03060000
  #define __Pyx_PyThreadState_Current _PyThreadState_UncheckedGet()
#elif PY_VERSION_HEX >= 0x03000000
  #define __Pyx_PyThreadState_Current PyThreadState_GET()
#else
  #define __Pyx_PyThreadState_Current _PyThreadState_Current
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
static CYTHON_INLINE void *__Pyx_PyModule_GetState(PyObject *op)
{
    void *result;
    result = PyModule_GetState(op);
    if (!result)
        Py_FatalError("Couldn't find the module state");
    return result;
}
#endif
#define __Pyx_PyObject_GetSlot(obj, name, func_ctype)  __Pyx_PyType_GetSlot(Py_TYPE(obj), name, func_ctype)
#if CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx_PyType_GetSlot(type, name, func_ctype)  ((func_ctype) PyType_GetSlot((type), Py_##name))
#else
  #define __Pyx_PyType_GetSlot(type, name, func_ctype)  ((type)->name)
#endif
#if PY_VERSION_HEX < 0x030700A2 && !defined(PyThread_tss_create) && !defined(Py_tss_NEEDS_INIT)
#include "pythread.h"
#define Py_tss_NEEDS_INIT 0
typedef int Py_tss_t;
static CYTHON_INLINE int PyThread_tss_create(Py_tss_t *key) {
  *key = PyThread_create_key();
  return 0;
}
static CYTHON_INLINE Py_tss_t * PyThread_tss_alloc(void) {
  Py_tss_t *key = (Py_tss_t *)PyObject_Malloc(sizeof(Py_tss_t));
  *key = Py_tss_NEEDS_INIT;
  return key;
}
static CYTHON_INLINE void PyThread_tss_free(Py_tss_t *key) {
  PyObject_Free(key);
}
static CYTHON_INLINE int PyThread_tss_is_created(Py_tss_t *key) {
  return *key != Py_tss_NEEDS_INIT;
}
static CYTHON_INLINE void PyThread_tss_delete(Py_tss_t *key) {
  PyThread_delete_key(*key);
  *key = Py_tss_NEEDS_INIT;
}
static CYTHON_INLINE int PyThread_tss_set(Py_tss_t *key, void *value) {
  return PyThread_set_key_value(*key, value);
}
static CYTHON_INLINE void * PyThread_tss_get(Py_tss_t *key) {
  return PyThread_get_key_value(*key);
}
#endif
#if PY_MAJOR_VERSION < 3
    #if CYTHON_COMPILING_IN_PYPY
        #if PYPY_VERSION_NUM < 0x07030600
            #if defined(__cplusplus) && __cplusplus >= 201402L
                [[deprecated("`with nogil:` inside a nogil function will not release the GIL in PyPy2 < 7.3.6")]]
            #elif defined(__GNUC__) || defined(__clang__)
                __attribute__ ((__deprecated__("`with nogil:` inside a nogil function will not release the GIL in PyPy2 < 7.3.6")))
            #elif defined(_MSC_VER)
                __declspec(deprecated("`with nogil:` inside a nogil function will not release the GIL in PyPy2 < 7.3.6"))
            #endif
            static CYTHON_INLINE int PyGILState_Check(void) {
                return 0;
            }
        #else  // PYPY_VERSION_NUM < 0x07030600
        #endif  // PYPY_VERSION_NUM < 0x07030600
    #else
        static CYTHON_INLINE int PyGILState_Check(void) {
            PyThreadState * tstate = _PyThreadState_Current;
            return tstate && (tstate == PyGILState_GetThisThreadState());
        }
    #endif
#endif
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030d0000 || defined(_PyDict_NewPresized)
#define __Pyx_PyDict_NewPresized(n)  ((n <= 8) ? PyDict_New() : _PyDict_NewPresized(n))
#else
#define __Pyx_PyDict_NewPresized(n)  PyDict_New()
#endif
#if PY_MAJOR_VERSION >= 3 || CYTHON_FUTURE_DIVISION
  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_TrueDivide(x,y)
  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceTrueDivide(x,y)
#else
  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_Divide(x,y)
  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceDivide(x,y)
#endif
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX > 0x030600B4 && PY_VERSION_HEX < 0x030d0000 && CYTHON_USE_UNICODE_INTERNALS
#define __Pyx_PyDict_GetItemStrWithError(dict, name)  _PyDict_GetItem_KnownHash(dict, name, ((PyASCIIObject *) name)->hash)
static CYTHON_INLINE PyObject * __Pyx_PyDict_GetItemStr(PyObject *dict, PyObject *name) {
    PyObject *res = __Pyx_PyDict_GetItemStrWithError(dict, name);
    if (res == NULL) PyErr_Clear();
    return res;
}
#elif PY_MAJOR_VERSION >= 3 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07020000)
#define __Pyx_PyDict_GetItemStrWithError  PyDict_GetItemWithError
#define __Pyx_PyDict_GetItemStr           PyDict_GetItem
#else
static CYTHON_INLINE PyObject * __Pyx_PyDict_GetItemStrWithError(PyObject *dict, PyObject *name) {
#if CYTHON_COMPILING_IN_PYPY
    return PyDict_GetItem(dict, name);
#else
    PyDictEntry *ep;
    PyDictObject *mp = (PyDictObject*) dict;
    long hash = ((PyStringObject *) name)->ob_shash;
    assert(hash != -1);
    ep = (mp->ma_lookup)(mp, name, hash);
    if (ep == NULL) {
        return NULL;
    }
    return ep->me_value;
#endif
}
#define __Pyx_PyDict_GetItemStr           PyDict_GetItem
#endif
#if CYTHON_USE_TYPE_SLOTS
  #define __Pyx_PyType_GetFlags(tp)   (((PyTypeObject *)tp)->tp_flags)
  #define __Pyx_PyType_HasFeature(type, feature)  ((__Pyx_PyType_GetFlags(type) & (feature)) != 0)
  #define __Pyx_PyObject_GetIterNextFunc(obj)  (Py_TYPE(obj)->tp_iternext)
#else
  #define __Pyx_PyType_GetFlags(tp)   (PyType_GetFlags((PyTypeObject *)tp))
  #define __Pyx_PyType_HasFeature(type, feature)  PyType_HasFeature(type, feature)
  #define __Pyx_PyObject_GetIterNextFunc(obj)  PyIter_Next
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx_SetItemOnTypeDict(tp, k, v) PyObject_GenericSetAttr((PyObject*)tp, k, v)
#else
  #define __Pyx_SetItemOnTypeDict(tp, k, v) PyDict_SetItem(tp->tp_dict, k, v)
#endif
#if CYTHON_USE_TYPE_SPECS && PY_VERSION_HEX >= 0x03080000
#define __Pyx_PyHeapTypeObject_GC_Del(obj)  {\
    PyTypeObject *type = Py_TYPE((PyObject*)obj);\
    assert(__Pyx_PyType_HasFeature(type, Py_TPFLAGS_HEAPTYPE));\
    PyObject_GC_Del(obj);\
    Py_DECREF(type);\
}
#else
#define __Pyx_PyHeapTypeObject_GC_Del(obj)  PyObject_GC_Del(obj)
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
  #define CYTHON_PEP393_ENABLED 1
  #define __Pyx_PyUnicode_READY(op)       (0)
  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GetLength(u)
  #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_ReadChar(u, i)
  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   ((void)u, 1114111U)
  #define __Pyx_PyUnicode_KIND(u)         ((void)u, (0))
  #define __Pyx_PyUnicode_DATA(u)         ((void*)u)
  #define __Pyx_PyUnicode_READ(k, d, i)   ((void)k, PyUnicode_ReadChar((PyObject*)(d), i))
  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GetLength(u))
#elif PY_VERSION_HEX > 0x03030000 && defined(PyUnicode_KIND)
  #define CYTHON_PEP393_ENABLED 1
  #if PY_VERSION_HEX >= 0x030C0000
    #define __Pyx_PyUnicode_READY(op)       (0)
  #else
    #define __Pyx_PyUnicode_READY(op)       (likely(PyUnicode_IS_READY(op)) ?\
                                                0 : _PyUnicode_Ready((PyObject *)(op)))
  #endif
  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GET_LENGTH(u)
  #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_READ_CHAR(u, i)
  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   PyUnicode_MAX_CHAR_VALUE(u)
  #define __Pyx_PyUnicode_KIND(u)         ((int)PyUnicode_KIND(u))
  #define __Pyx_PyUnicode_DATA(u)         PyUnicode_DATA(u)
  #define __Pyx_PyUnicode_READ(k, d, i)   PyUnicode_READ(k, d, i)
  #define __Pyx_PyUnicode_WRITE(k, d, i, ch)  PyUnicode_WRITE(k, d, i, (Py_UCS4) ch)
  #if PY_VERSION_HEX >= 0x030C0000
    #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GET_LENGTH(u))
  #else
    #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03090000
    #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : ((PyCompactUnicodeObject *)(u))->wstr_length))
    #else
    #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : PyUnicode_GET_SIZE(u)))
    #endif
  #endif
#else
  #define CYTHON_PEP393_ENABLED 0
  #define PyUnicode_1BYTE_KIND  1
  #define PyUnicode_2BYTE_KIND  2
  #define PyUnicode_4BYTE_KIND  4
  #define __Pyx_PyUnicode_READY(op)       (0)
  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GET_SIZE(u)
  #define __Pyx_PyUnicode_READ_CHAR(u, i) ((Py_UCS4)(PyUnicode_AS_UNICODE(u)[i]))
  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   ((sizeof(Py_UNICODE) == 2) ? 65535U : 1114111U)
  #define __Pyx_PyUnicode_KIND(u)         ((int)sizeof(Py_UNICODE))
  #define __Pyx_PyUnicode_DATA(u)         ((void*)PyUnicode_AS_UNICODE(u))
  #define __Pyx_PyUnicode_READ(k, d, i)   ((void)(k), (Py_UCS4)(((Py_UNICODE*)d)[i]))
  #define __Pyx_PyUnicode_WRITE(k, d, i, ch)  (((void)(k)), ((Py_UNICODE*)d)[i] = (Py_UNICODE) ch)
  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GET_SIZE(u))
#endif
#if CYTHON_COMPILING_IN_PYPY
  #define __Pyx_PyUnicode_Concat(a, b)      PyNumber_Add(a, b)
  #define __Pyx_PyUnicode_ConcatSafe(a, b)  PyNumber_Add(a, b)
#else
  #define __Pyx_PyUnicode_Concat(a, b)      PyUnicode_Concat(a, b)
  #define __Pyx_PyUnicode_ConcatSafe(a, b)  ((unlikely((a) == Py_None) || unlikely((b) == Py_None)) ?\
      PyNumber_Add(a, b) : __Pyx_PyUnicode_Concat(a, b))
#endif
#if CYTHON_COMPILING_IN_PYPY
  #if !defined(PyUnicode_DecodeUnicodeEscape)
    #define PyUnicode_DecodeUnicodeEscape(s, size, errors)  PyUnicode_Decode(s, size, "unicode_escape", errors)
  #endif
  #if !defined(PyUnicode_Contains) || (PY_MAJOR_VERSION == 2 && PYPY_VERSION_NUM < 0x07030500)
    #undef PyUnicode_Contains
    #define PyUnicode_Contains(u, s)  PySequence_Contains(u, s)
  #endif
  #if !defined(PyByteArray_Check)
    #define PyByteArray_Check(obj)  PyObject_TypeCheck(obj, &PyByteArray_Type)
  #endif
  #if !defined(PyObject_Format)
    #define PyObject_Format(obj, fmt)  PyObject_CallMethod(obj, "__format__", "O", fmt)
  #endif
#endif
#define __Pyx_PyString_FormatSafe(a, b)   ((unlikely((a) == Py_None || (PyString_Check(b) && !PyString_CheckExact(b)))) ? PyNumber_Remainder(a, b) : __Pyx_PyString_Format(a, b))
#define __Pyx_PyUnicode_FormatSafe(a, b)  ((unlikely((a) == Py_None || (PyUnicode_Check(b) && !PyUnicode_CheckExact(b)))) ? PyNumber_Remainder(a, b) : PyUnicode_Format(a, b))
#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyString_Format(a, b)  PyUnicode_Format(a, b)
#else
  #define __Pyx_PyString_Format(a, b)  PyString_Format(a, b)
#endif
#if PY_MAJOR_VERSION < 3 && !defined(PyObject_ASCII)
  #define PyObject_ASCII(o)            PyObject_Repr(o)
#endif
#if PY_MAJOR_VERSION >= 3
  #define PyBaseString_Type            PyUnicode_Type
  #define PyStringObject               PyUnicodeObject
  #define PyString_Type                PyUnicode_Type
  #define PyString_Check               PyUnicode_Check
  #define PyString_CheckExact          PyUnicode_CheckExact
#ifndef PyObject_Unicode
  #define PyObject_Unicode             PyObject_Str
#endif
#endif
#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyBaseString_Check(obj) PyUnicode_Check(obj)
  #define __Pyx_PyBaseString_CheckExact(obj) PyUnicode_CheckExact(obj)
#else
  #define __Pyx_PyBaseString_Check(obj) (PyString_Check(obj) || PyUnicode_Check(obj))
  #define __Pyx_PyBaseString_CheckExact(obj) (PyString_CheckExact(obj) || PyUnicode_CheckExact(obj))
#endif
#if CYTHON_COMPILING_IN_CPYTHON
  #define __Pyx_PySequence_ListKeepNew(obj)\
    (likely(PyList_CheckExact(obj) && Py_REFCNT(obj) == 1) ? __Pyx_NewRef(obj) : PySequence_List(obj))
#else
  #define __Pyx_PySequence_ListKeepNew(obj)  PySequence_List(obj)
#endif
#ifndef PySet_CheckExact
  #define PySet_CheckExact(obj)        __Pyx_IS_TYPE(obj, &PySet_Type)
#endif
#if PY_VERSION_HEX >= 0x030900A4
  #define __Pyx_SET_REFCNT(obj, refcnt) Py_SET_REFCNT(obj, refcnt)
  #define __Pyx_SET_SIZE(obj, size) Py_SET_SIZE(obj, size)
#else
  #define __Pyx_SET_REFCNT(obj, refcnt) Py_REFCNT(obj) = (refcnt)
  #define __Pyx_SET_SIZE(obj, size) Py_SIZE(obj) = (size)
#endif
#if CYTHON_ASSUME_SAFE_MACROS
  #define __Pyx_PySequence_ITEM(o, i) PySequence_ITEM(o, i)
  #define __Pyx_PySequence_SIZE(seq)  Py_SIZE(seq)
  #define __Pyx_PyTuple_SET_ITEM(o, i, v) (PyTuple_SET_ITEM(o, i, v), (0))
  #define __Pyx_PyList_SET_ITEM(o, i, v) (PyList_SET_ITEM(o, i, v), (0))
  #define __Pyx_PyTuple_GET_SIZE(o) PyTuple_GET_SIZE(o)
  #define __Pyx_PyList_GET_SIZE(o) PyList_GET_SIZE(o)
  #define __Pyx_PySet_GET_SIZE(o) PySet_GET_SIZE(o)
  #define __Pyx_PyBytes_GET_SIZE(o) PyBytes_GET_SIZE(o)
  #define __Pyx_PyByteArray_GET_SIZE(o) PyByteArray_GET_SIZE(o)
#else
  #define __Pyx_PySequence_ITEM(o, i) PySequence_GetItem(o, i)
  #define __Pyx_PySequence_SIZE(seq)  PySequence_Size(seq)
  #define __Pyx_PyTuple_SET_ITEM(o, i, v) PyTuple_SetItem(o, i, v)
  #define __Pyx_PyList_SET_ITEM(o, i, v) PyList_SetItem(o, i, v)
  #define __Pyx_PyTuple_GET_SIZE(o) PyTuple_Size(o)
  #define __Pyx_PyList_GET_SIZE(o) PyList_Size(o)
  #define __Pyx_PySet_GET_SIZE(o) PySet_Size(o)
  #define __Pyx_PyBytes_GET_SIZE(o) PyBytes_Size(o)
  #define __Pyx_PyByteArray_GET_SIZE(o) PyByteArray_Size(o)
#endif
#if __PYX_LIMITED_VERSION_HEX >= 0x030d00A1
  #define __Pyx_PyImport_AddModuleRef(name) PyImport_AddModuleRef(name)
#else
  static CYTHON_INLINE PyObject *__Pyx_PyImport_AddModuleRef(const char *name) {
      PyObject *module = PyImport_AddModule(name);
      Py_XINCREF(module);
      return module;
  }
#endif
#if PY_MAJOR_VERSION >= 3
  #define PyIntObject                  PyLongObject
  #define PyInt_Type                   PyLong_Type
  #define PyInt_Check(op)              PyLong_Check(op)
  #define PyInt_CheckExact(op)         PyLong_CheckExact(op)
  #define __Pyx_Py3Int_Check(op)       PyLong_Check(op)
  #define __Pyx_Py3Int_CheckExact(op)  PyLong_CheckExact(op)
  #define PyInt_FromString             PyLong_FromString
  #define PyInt_FromUnicode            PyLong_FromUnicode
  #define PyInt_FromLong               PyLong_FromLong
  #define PyInt_FromSize_t             PyLong_FromSize_t
  #define PyInt_FromSsize_t            PyLong_FromSsize_t
  #define PyInt_AsLong                 PyLong_AsLong
  #define PyInt_AS_LONG                PyLong_AS_LONG
  #define PyInt_AsSsize_t              PyLong_AsSsize_t
  #define PyInt_AsUnsignedLongMask     PyLong_AsUnsignedLongMask
  #define PyInt_AsUnsignedLongLongMask PyLong_AsUnsignedLongLongMask
  #define PyNumber_Int                 PyNumber_Long
#else
  #define __Pyx_Py3Int_Check(op)       (PyLong_Check(op) || PyInt_Check(op))
  #define __Pyx_Py3Int_CheckExact(op)  (PyLong_CheckExact(op) || PyInt_CheckExact(op))
#endif
#if PY_MAJOR_VERSION >= 3
  #define PyBoolObject                 PyLongObject
#endif
#if PY_MAJOR_VERSION >= 3 && CYTHON_COMPILING_IN_PYPY
  #ifndef PyUnicode_InternFromString
    #define PyUnicode_InternFromString(s) PyUnicode_FromString(s)
  #endif
#endif
#if PY_VERSION_HEX < 0x030200A4
  typedef long Py_hash_t;
  #define __Pyx_PyInt_FromHash_t PyInt_FromLong
  #define __Pyx_PyInt_AsHash_t   __Pyx_PyIndex_AsHash_t
#else
  #define __Pyx_PyInt_FromHash_t PyInt_FromSsize_t
  #define __Pyx_PyInt_AsHash_t   __Pyx_PyIndex_AsSsize_t
#endif
#if CYTHON_USE_ASYNC_SLOTS
  #if PY_VERSION_HEX >= 0x030500B1
    #define __Pyx_PyAsyncMethodsStruct PyAsyncMethods
    #define __Pyx_PyType_AsAsync(obj) (Py_TYPE(obj)->tp_as_async)
  #else
    #define __Pyx_PyType_AsAsync(obj) ((__Pyx_PyAsyncMethodsStruct*) (Py_TYPE(obj)->tp_reserved))
  #endif
#else
  #define __Pyx_PyType_AsAsync(obj) NULL
#endif
#ifndef __Pyx_PyAsyncMethodsStruct
    typedef struct {
        unaryfunc am_await;
        unaryfunc am_aiter;
        unaryfunc am_anext;
    } __Pyx_PyAsyncMethodsStruct;
#endif

#if defined(_WIN32) || defined(WIN32) || defined(MS_WINDOWS)
  #if !defined(_USE_MATH_DEFINES)
    #define _USE_MATH_DEFINES
  #endif
#endif
#include <math.h>
#ifdef NAN
#define __PYX_NAN() ((float) NAN)
#else
static CYTHON_INLINE float __PYX_NAN() {
  float value;
  memset(&value, 0xFF, sizeof(value));
  return value;
}
#endif
#if defined(__CYGWIN__) && defined(_LDBL_EQ_DBL)
#define __Pyx_truncl trunc
#else
#define __Pyx_truncl truncl
#endif

#define __PYX_MARK_ERR_POS(f_index, lineno) \
    { __pyx_filename = __pyx_f[f_index]; (void)__pyx_filename; __pyx_lineno = lineno; (void)__pyx_lineno; __pyx_clineno = __LINE__;  (void)__pyx_clineno; }
#define __PYX_ERR(f_index, lineno, Ln_error) \
    { __PYX_MARK_ERR_POS(f_index, lineno) goto Ln_error; }

#ifdef CYTHON_EXTERN_C
    #undef __PYX_EXTERN_C
    #define __PYX_EXTERN_C CYTHON_EXTERN_C
#elif defined(__PYX_EXTERN_C)
    #ifdef _MSC_VER
    #pragma message ("Please do not define the '__PYX_EXTERN_C' macro externally. Use 'CYTHON_EXTERN_C' instead.")
    #else
    #warning Please do not define the '__PYX_EXTERN_C' macro externally. Use 'CYTHON_EXTERN_C' instead.
    #endif
#else
  #ifdef __cplusplus
    #define __PYX_EXTERN_C extern "C"
  #else
    #define __PYX_EXTERN_C extern
  #endif
#endif

#define __PYX_HAVE__fontTools__misc__bezierTools
#define __PYX_HAVE_API__fontTools__misc__bezierTools
/* Early includes */
#ifdef _OPENMP
#include <omp.h>
#endif /* _OPENMP */

#if defined(PYREX_WITHOUT_ASSERTIONS) && !defined(CYTHON_WITHOUT_ASSERTIONS)
#define CYTHON_WITHOUT_ASSERTIONS
#endif

typedef struct {PyObject **p; const char *s; const Py_ssize_t n; const char* encoding;
                const char is_unicode; const char is_str; const char intern; } __Pyx_StringTabEntry;

#define __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 0
#define __PYX_DEFAULT_STRING_ENCODING_IS_UTF8 0
#define __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT (PY_MAJOR_VERSION >= 3 && __PYX_DEFAULT_STRING_ENCODING_IS_UTF8)
#define __PYX_DEFAULT_STRING_ENCODING ""
#define __Pyx_PyObject_FromString __Pyx_PyBytes_FromString
#define __Pyx_PyObject_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
#define __Pyx_uchar_cast(c) ((unsigned char)c)
#define __Pyx_long_cast(x) ((long)x)
#define __Pyx_fits_Py_ssize_t(v, type, is_signed)  (\
    (sizeof(type) < sizeof(Py_ssize_t))  ||\
    (sizeof(type) > sizeof(Py_ssize_t) &&\
          likely(v < (type)PY_SSIZE_T_MAX ||\
                 v == (type)PY_SSIZE_T_MAX)  &&\
          (!is_signed || likely(v > (type)PY_SSIZE_T_MIN ||\
                                v == (type)PY_SSIZE_T_MIN)))  ||\
    (sizeof(type) == sizeof(Py_ssize_t) &&\
          (is_signed || likely(v < (type)PY_SSIZE_T_MAX ||\
                               v == (type)PY_SSIZE_T_MAX)))  )
static CYTHON_INLINE int __Pyx_is_valid_index(Py_ssize_t i, Py_ssize_t limit) {
    return (size_t) i < (size_t) limit;
}
#if defined (__cplusplus) && __cplusplus >= 201103L
    #include <cstdlib>
    #define __Pyx_sst_abs(value) std::abs(value)
#elif SIZEOF_INT >= SIZEOF_SIZE_T
    #define __Pyx_sst_abs(value) abs(value)
#elif SIZEOF_LONG >= SIZEOF_SIZE_T
    #define __Pyx_sst_abs(value) labs(value)
#elif defined (_MSC_VER)
    #define __Pyx_sst_abs(value) ((Py_ssize_t)_abs64(value))
#elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define __Pyx_sst_abs(value) llabs(value)
#elif defined (__GNUC__)
    #define __Pyx_sst_abs(value) __builtin_llabs(value)
#else
    #define __Pyx_sst_abs(value) ((value<0) ? -value : value)
#endif
static CYTHON_INLINE Py_ssize_t __Pyx_ssize_strlen(const char *s);
static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject*);
static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length);
static CYTHON_INLINE PyObject* __Pyx_PyByteArray_FromString(const char*);
#define __Pyx_PyByteArray_FromStringAndSize(s, l) PyByteArray_FromStringAndSize((const char*)s, l)
#define __Pyx_PyBytes_FromString        PyBytes_FromString
#define __Pyx_PyBytes_FromStringAndSize PyBytes_FromStringAndSize
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char*);
#if PY_MAJOR_VERSION < 3
    #define __Pyx_PyStr_FromString        __Pyx_PyBytes_FromString
    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
#else
    #define __Pyx_PyStr_FromString        __Pyx_PyUnicode_FromString
    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyUnicode_FromStringAndSize
#endif
#define __Pyx_PyBytes_AsWritableString(s)     ((char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsWritableSString(s)    ((signed char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsWritableUString(s)    ((unsigned char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsString(s)     ((const char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsSString(s)    ((const signed char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsUString(s)    ((const unsigned char*) PyBytes_AS_STRING(s))
#define __Pyx_PyObject_AsWritableString(s)    ((char*)(__pyx_uintptr_t) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsWritableSString(s)    ((signed char*)(__pyx_uintptr_t) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsWritableUString(s)    ((unsigned char*)(__pyx_uintptr_t) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsSString(s)    ((const signed char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsUString(s)    ((const unsigned char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_FromCString(s)  __Pyx_PyObject_FromString((const char*)s)
#define __Pyx_PyBytes_FromCString(s)   __Pyx_PyBytes_FromString((const char*)s)
#define __Pyx_PyByteArray_FromCString(s)   __Pyx_PyByteArray_FromString((const char*)s)
#define __Pyx_PyStr_FromCString(s)     __Pyx_PyStr_FromString((const char*)s)
#define __Pyx_PyUnicode_FromCString(s) __Pyx_PyUnicode_FromString((const char*)s)
#define __Pyx_PyUnicode_FromOrdinal(o)       PyUnicode_FromOrdinal((int)o)
#define __Pyx_PyUnicode_AsUnicode            PyUnicode_AsUnicode
#define __Pyx_NewRef(obj) (Py_INCREF(obj), obj)
#define __Pyx_Owned_Py_None(b) __Pyx_NewRef(Py_None)
static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b);
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject*);
static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject*);
static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x);
#define __Pyx_PySequence_Tuple(obj)\
    (likely(PyTuple_CheckExact(obj)) ? __Pyx_NewRef(obj) : PySequence_Tuple(obj))
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t);
static CYTHON_INLINE Py_hash_t __Pyx_PyIndex_AsHash_t(PyObject*);
#if CYTHON_ASSUME_SAFE_MACROS
#define __pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x))
#else
#define __pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x)
#endif
#define __pyx_PyFloat_AsFloat(x) ((float) __pyx_PyFloat_AsDouble(x))
#if PY_MAJOR_VERSION >= 3
#define __Pyx_PyNumber_Int(x) (PyLong_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Long(x))
#else
#define __Pyx_PyNumber_Int(x) (PyInt_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Int(x))
#endif
#if CYTHON_USE_PYLONG_INTERNALS
  #if PY_VERSION_HEX >= 0x030C00A7
  #ifndef _PyLong_SIGN_MASK
    #define _PyLong_SIGN_MASK 3
  #endif
  #ifndef _PyLong_NON_SIZE_BITS
    #define _PyLong_NON_SIZE_BITS 3
  #endif
  #define __Pyx_PyLong_Sign(x)  (((PyLongObject*)x)->long_value.lv_tag & _PyLong_SIGN_MASK)
  #define __Pyx_PyLong_IsNeg(x)  ((__Pyx_PyLong_Sign(x) & 2) != 0)
  #define __Pyx_PyLong_IsNonNeg(x)  (!__Pyx_PyLong_IsNeg(x))
  #define __Pyx_PyLong_IsZero(x)  (__Pyx_PyLong_Sign(x) & 1)
  #define __Pyx_PyLong_IsPos(x)  (__Pyx_PyLong_Sign(x) == 0)
  #define __Pyx_PyLong_CompactValueUnsigned(x)  (__Pyx_PyLong_Digits(x)[0])
  #define __Pyx_PyLong_DigitCount(x)  ((Py_ssize_t) (((PyLongObject*)x)->long_value.lv_tag >> _PyLong_NON_SIZE_BITS))
  #define __Pyx_PyLong_SignedDigitCount(x)\
        ((1 - (Py_ssize_t) __Pyx_PyLong_Sign(x)) * __Pyx_PyLong_DigitCount(x))
  #if defined(PyUnstable_Long_IsCompact) && defined(PyUnstable_Long_CompactValue)
    #define __Pyx_PyLong_IsCompact(x)     PyUnstable_Long_IsCompact((PyLongObject*) x)
    #define __Pyx_PyLong_CompactValue(x)  PyUnstable_Long_CompactValue((PyLongObject*) x)
  #else
    #define __Pyx_PyLong_IsCompact(x)     (((PyLongObject*)x)->long_value.lv_tag < (2 << _PyLong_NON_SIZE_BITS))
    #define __Pyx_PyLong_CompactValue(x)  ((1 - (Py_ssize_t) __Pyx_PyLong_Sign(x)) * (Py_ssize_t) __Pyx_PyLong_Digits(x)[0])
  #endif
  typedef Py_ssize_t  __Pyx_compact_pylong;
  typedef size_t  __Pyx_compact_upylong;
  #else
  #define __Pyx_PyLong_IsNeg(x)  (Py_SIZE(x) < 0)
  #define __Pyx_PyLong_IsNonNeg(x)  (Py_SIZE(x) >= 0)
  #define __Pyx_PyLong_IsZero(x)  (Py_SIZE(x) == 0)
  #define __Pyx_PyLong_IsPos(x)  (Py_SIZE(x) > 0)
  #define __Pyx_PyLong_CompactValueUnsigned(x)  ((Py_SIZE(x) == 0) ? 0 : __Pyx_PyLong_Digits(x)[0])
  #define __Pyx_PyLong_DigitCount(x)  __Pyx_sst_abs(Py_SIZE(x))
  #define __Pyx_PyLong_SignedDigitCount(x)  Py_SIZE(x)
  #define __Pyx_PyLong_IsCompact(x)  (Py_SIZE(x) == 0 || Py_SIZE(x) == 1 || Py_SIZE(x) == -1)
  #define __Pyx_PyLong_CompactValue(x)\
        ((Py_SIZE(x) == 0) ? (sdigit) 0 : ((Py_SIZE(x) < 0) ? -(sdigit)__Pyx_PyLong_Digits(x)[0] : (sdigit)__Pyx_PyLong_Digits(x)[0]))
  typedef sdigit  __Pyx_compact_pylong;
  typedef digit  __Pyx_compact_upylong;
  #endif
  #if PY_VERSION_HEX >= 0x030C00A5
  #define __Pyx_PyLong_Digits(x)  (((PyLongObject*)x)->long_value.ob_digit)
  #else
  #define __Pyx_PyLong_Digits(x)  (((PyLongObject*)x)->ob_digit)
  #endif
#endif
#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
#include <string.h>
static int __Pyx_sys_getdefaultencoding_not_ascii;
static int __Pyx_init_sys_getdefaultencoding_params(void) {
    PyObject* sys;
    PyObject* default_encoding = NULL;
    PyObject* ascii_chars_u = NULL;
    PyObject* ascii_chars_b = NULL;
    const char* default_encoding_c;
    sys = PyImport_ImportModule("sys");
    if (!sys) goto bad;
    default_encoding = PyObject_CallMethod(sys, (char*) "getdefaultencoding", NULL);
    Py_DECREF(sys);
    if (!default_encoding) goto bad;
    default_encoding_c = PyBytes_AsString(default_encoding);
    if (!default_encoding_c) goto bad;
    if (strcmp(default_encoding_c, "ascii") == 0) {
        __Pyx_sys_getdefaultencoding_not_ascii = 0;
    } else {
        char ascii_chars[128];
        int c;
        for (c = 0; c < 128; c++) {
            ascii_chars[c] = (char) c;
        }
        __Pyx_sys_getdefaultencoding_not_ascii = 1;
        ascii_chars_u = PyUnicode_DecodeASCII(ascii_chars, 128, NULL);
        if (!ascii_chars_u) goto bad;
        ascii_chars_b = PyUnicode_AsEncodedString(ascii_chars_u, default_encoding_c, NULL);
        if (!ascii_chars_b || !PyBytes_Check(ascii_chars_b) || memcmp(ascii_chars, PyBytes_AS_STRING(ascii_chars_b), 128) != 0) {
            PyErr_Format(
                PyExc_ValueError,
                "This module compiled with c_string_encoding=ascii, but default encoding '%.200s' is not a superset of ascii.",
                default_encoding_c);
            goto bad;
        }
        Py_DECREF(ascii_chars_u);
        Py_DECREF(ascii_chars_b);
    }
    Py_DECREF(default_encoding);
    return 0;
bad:
    Py_XDECREF(default_encoding);
    Py_XDECREF(ascii_chars_u);
    Py_XDECREF(ascii_chars_b);
    return -1;
}
#endif
#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT && PY_MAJOR_VERSION >= 3
#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeUTF8(c_str, size, NULL)
#else
#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_Decode(c_str, size, __PYX_DEFAULT_STRING_ENCODING, NULL)
#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
#include <string.h>
static char* __PYX_DEFAULT_STRING_ENCODING;
static int __Pyx_init_sys_getdefaultencoding_params(void) {
    PyObject* sys;
    PyObject* default_encoding = NULL;
    char* default_encoding_c;
    sys = PyImport_ImportModule("sys");
    if (!sys) goto bad;
    default_encoding = PyObject_CallMethod(sys, (char*) (const char*) "getdefaultencoding", NULL);
    Py_DECREF(sys);
    if (!default_encoding) goto bad;
    default_encoding_c = PyBytes_AsString(default_encoding);
    if (!default_encoding_c) goto bad;
    __PYX_DEFAULT_STRING_ENCODING = (char*) malloc(strlen(default_encoding_c) + 1);
    if (!__PYX_DEFAULT_STRING_ENCODING) goto bad;
    strcpy(__PYX_DEFAULT_STRING_ENCODING, default_encoding_c);
    Py_DECREF(default_encoding);
    return 0;
bad:
    Py_XDECREF(default_encoding);
    return -1;
}
#endif
#endif


/* Test for GCC > 2.95 */
#if defined(__GNUC__)     && (__GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95)))
  #define likely(x)   __builtin_expect(!!(x), 1)
  #define unlikely(x) __builtin_expect(!!(x), 0)
#else /* !__GNUC__ or GCC < 2.95 */
  #define likely(x)   (x)
  #define unlikely(x) (x)
#endif /* __GNUC__ */
static CYTHON_INLINE void __Pyx_pretend_to_initialize(void* ptr) { (void)ptr; }

#if !CYTHON_USE_MODULE_STATE
static PyObject *__pyx_m = NULL;
#endif
static int __pyx_lineno;
static int __pyx_clineno = 0;
static const char * __pyx_cfilenm = __FILE__;
static const char *__pyx_filename;

/* Header.proto */
#if !defined(CYTHON_CCOMPLEX)
  #if defined(__cplusplus)
    #define CYTHON_CCOMPLEX 1
  #elif (defined(_Complex_I) && !defined(_MSC_VER)) || ((defined (__STDC_VERSION__) && __STDC_VERSION__ >= 201112L) && !defined(__STDC_NO_COMPLEX__) && !defined(_MSC_VER))
    #define CYTHON_CCOMPLEX 1
  #else
    #define CYTHON_CCOMPLEX 0
  #endif
#endif
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    #include <complex>
  #else
    #include <complex.h>
  #endif
#endif
#if CYTHON_CCOMPLEX && !defined(__cplusplus) && defined(__sun__) && defined(__GNUC__)
  #undef _Complex_I
  #define _Complex_I 1.0fj
#endif

/* #### Code section: filename_table ### */

static const char *__pyx_f[] = {
  "Lib\\\\fontTools\\\\misc\\\\bezierTools.py",
};
/* #### Code section: utility_code_proto_before_types ### */
/* ForceInitThreads.proto */
#ifndef __PYX_FORCE_INIT_THREADS
  #define __PYX_FORCE_INIT_THREADS 0
#endif

/* #### Code section: numeric_typedefs ### */
/* #### Code section: complex_type_declarations ### */
/* Declarations.proto */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
  #ifdef __cplusplus
    typedef ::std::complex< double > __pyx_t_double_complex;
  #else
    typedef double _Complex __pyx_t_double_complex;
  #endif
#else
    typedef struct { double real, imag; } __pyx_t_double_complex;
#endif
static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double, double);

/* #### Code section: type_declarations ### */

/*--- Type declarations ---*/
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr;
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr;
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC;
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC;
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr;
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t;
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr;
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr;
struct __pyx_defaults;
typedef struct __pyx_defaults __pyx_defaults;
struct __pyx_defaults {
  PyObject *__pyx_arg_sqrt;
};

/* "fontTools/misc/bezierTools.py":546
 *         a[isHorizontal], b[isHorizontal], c[isHorizontal] - where
 *     )
 *     solutions = sorted(t for t in solutions if 0 <= t < 1)             # <<<<<<<<<<<<<<
 *     if not solutions:
 *         return [(pt1, pt2, pt3)]
 */
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr {
  PyObject_HEAD
  PyObject *__pyx_genexpr_arg_0;
  PyObject *__pyx_v_t;
};


/* "fontTools/misc/bezierTools.py":583
 *         a[isHorizontal], b[isHorizontal], c[isHorizontal], d[isHorizontal] - where
 *     )
 *     solutions = sorted(t for t in solutions if 0 <= t < 1)             # <<<<<<<<<<<<<<
 *     if not solutions:
 *         return [(pt1, pt2, pt3, pt4)]
 */
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr {
  PyObject_HEAD
  PyObject *__pyx_genexpr_arg_0;
  PyObject *__pyx_v_t;
};


/* "fontTools/misc/bezierTools.py":637
 * 
 * 
 * @cython.locals(             # <<<<<<<<<<<<<<
 *     pt1=cython.complex,
 *     pt2=cython.complex,
 */
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC {
  PyObject_HEAD
  __pyx_t_double_complex __pyx_v_a;
  __pyx_t_double_complex __pyx_v_b;
  __pyx_t_double_complex __pyx_v_c;
  __pyx_t_double_complex __pyx_v_d;
  __pyx_t_double_complex __pyx_v_pt1;
  __pyx_t_double_complex __pyx_v_pt2;
  __pyx_t_double_complex __pyx_v_pt3;
  __pyx_t_double_complex __pyx_v_pt4;
  PyObject *__pyx_v_ts;
};


/* "fontTools/misc/bezierTools.py":763
 * 
 * 
 * @cython.locals(             # <<<<<<<<<<<<<<
 *     a=cython.complex,
 *     b=cython.complex,
 */
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC {
  PyObject_HEAD
  __pyx_t_double_complex __pyx_v_a;
  __pyx_t_double_complex __pyx_v_a1;
  __pyx_t_double_complex __pyx_v_b;
  __pyx_t_double_complex __pyx_v_b1;
  __pyx_t_double_complex __pyx_v_c;
  __pyx_t_double_complex __pyx_v_c1;
  __pyx_t_double_complex __pyx_v_d;
  __pyx_t_double_complex __pyx_v_d1;
  double __pyx_v_delta;
  double __pyx_v_delta_2;
  double __pyx_v_delta_3;
  PyObject *__pyx_v_i;
  PyObject *__pyx_v_pt1;
  PyObject *__pyx_v_pt2;
  PyObject *__pyx_v_pt3;
  PyObject *__pyx_v_pt4;
  double __pyx_v_t1;
  double __pyx_v_t1_2;
  double __pyx_v_t1_3;
  double __pyx_v_t2;
  PyObject *__pyx_v_ts;
  PyObject *__pyx_t_0;
  Py_ssize_t __pyx_t_1;
  PyObject *(*__pyx_t_2)(PyObject *);
};


/* "fontTools/misc/bezierTools.py":1245
 *     else:
 *         raise ValueError("Unknown curve degree")
 *     return sorted(i for i in intersections if 0.0 <= i <= 1)             # <<<<<<<<<<<<<<
 * 
 * 
 */
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr {
  PyObject_HEAD
  PyObject *__pyx_genexpr_arg_0;
  PyObject *__pyx_v_i;
};


/* "fontTools/misc/bezierTools.py":1306
 * 
 * 
 * def _curve_curve_intersections_t(             # <<<<<<<<<<<<<<
 *     curve1, curve2, precision=1e-3, range1=None, range2=None
 * ):
 */
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t {
  PyObject_HEAD
  PyObject *__pyx_v_precision;
};


/* "fontTools/misc/bezierTools.py":1375
 * def _is_linelike(segment):
 *     maybeline = _alignment_transformation(segment).transformPoints(segment)
 *     return all(math.isclose(p[1], 0.0) for p in maybeline)             # <<<<<<<<<<<<<<
 * 
 * 
 */
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr {
  PyObject_HEAD
  PyObject *__pyx_genexpr_arg_0;
  PyObject *__pyx_v_p;
};


/* "fontTools/misc/bezierTools.py":1475
 *         return "%g" % obj
 *     else:
 *         return "(%s)" % ", ".join(_segmentrepr(x) for x in it)             # <<<<<<<<<<<<<<
 * 
 * 
 */
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr {
  PyObject_HEAD
  PyObject *__pyx_genexpr_arg_0;
  PyObject *__pyx_v_x;
};

/* #### Code section: utility_code_proto ### */

/* --- Runtime support code (head) --- */
/* Refnanny.proto */
#ifndef CYTHON_REFNANNY
  #define CYTHON_REFNANNY 0
#endif
#if CYTHON_REFNANNY
  typedef struct {
    void (*INCREF)(void*, PyObject*, Py_ssize_t);
    void (*DECREF)(void*, PyObject*, Py_ssize_t);
    void (*GOTREF)(void*, PyObject*, Py_ssize_t);
    void (*GIVEREF)(void*, PyObject*, Py_ssize_t);
    void* (*SetupContext)(const char*, Py_ssize_t, const char*);
    void (*FinishContext)(void**);
  } __Pyx_RefNannyAPIStruct;
  static __Pyx_RefNannyAPIStruct *__Pyx_RefNanny = NULL;
  static __Pyx_RefNannyAPIStruct *__Pyx_RefNannyImportAPI(const char *modname);
  #define __Pyx_RefNannyDeclarations void *__pyx_refnanny = NULL;
#ifdef WITH_THREAD
  #define __Pyx_RefNannySetupContext(name, acquire_gil)\
          if (acquire_gil) {\
              PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();\
              __pyx_refnanny = __Pyx_RefNanny->SetupContext((name), (__LINE__), (__FILE__));\
              PyGILState_Release(__pyx_gilstate_save);\
          } else {\
              __pyx_refnanny = __Pyx_RefNanny->SetupContext((name), (__LINE__), (__FILE__));\
          }
  #define __Pyx_RefNannyFinishContextNogil() {\
              PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();\
              __Pyx_RefNannyFinishContext();\
              PyGILState_Release(__pyx_gilstate_save);\
          }
#else
  #define __Pyx_RefNannySetupContext(name, acquire_gil)\
          __pyx_refnanny = __Pyx_RefNanny->SetupContext((name), (__LINE__), (__FILE__))
  #define __Pyx_RefNannyFinishContextNogil() __Pyx_RefNannyFinishContext()
#endif
  #define __Pyx_RefNannyFinishContextNogil() {\
              PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();\
              __Pyx_RefNannyFinishContext();\
              PyGILState_Release(__pyx_gilstate_save);\
          }
  #define __Pyx_RefNannyFinishContext()\
          __Pyx_RefNanny->FinishContext(&__pyx_refnanny)
  #define __Pyx_INCREF(r)  __Pyx_RefNanny->INCREF(__pyx_refnanny, (PyObject *)(r), (__LINE__))
  #define __Pyx_DECREF(r)  __Pyx_RefNanny->DECREF(__pyx_refnanny, (PyObject *)(r), (__LINE__))
  #define __Pyx_GOTREF(r)  __Pyx_RefNanny->GOTREF(__pyx_refnanny, (PyObject *)(r), (__LINE__))
  #define __Pyx_GIVEREF(r) __Pyx_RefNanny->GIVEREF(__pyx_refnanny, (PyObject *)(r), (__LINE__))
  #define __Pyx_XINCREF(r)  do { if((r) == NULL); else {__Pyx_INCREF(r); }} while(0)
  #define __Pyx_XDECREF(r)  do { if((r) == NULL); else {__Pyx_DECREF(r); }} while(0)
  #define __Pyx_XGOTREF(r)  do { if((r) == NULL); else {__Pyx_GOTREF(r); }} while(0)
  #define __Pyx_XGIVEREF(r) do { if((r) == NULL); else {__Pyx_GIVEREF(r);}} while(0)
#else
  #define __Pyx_RefNannyDeclarations
  #define __Pyx_RefNannySetupContext(name, acquire_gil)
  #define __Pyx_RefNannyFinishContextNogil()
  #define __Pyx_RefNannyFinishContext()
  #define __Pyx_INCREF(r) Py_INCREF(r)
  #define __Pyx_DECREF(r) Py_DECREF(r)
  #define __Pyx_GOTREF(r)
  #define __Pyx_GIVEREF(r)
  #define __Pyx_XINCREF(r) Py_XINCREF(r)
  #define __Pyx_XDECREF(r) Py_XDECREF(r)
  #define __Pyx_XGOTREF(r)
  #define __Pyx_XGIVEREF(r)
#endif
#define __Pyx_Py_XDECREF_SET(r, v) do {\
        PyObject *tmp = (PyObject *) r;\
        r = v; Py_XDECREF(tmp);\
    } while (0)
#define __Pyx_XDECREF_SET(r, v) do {\
        PyObject *tmp = (PyObject *) r;\
        r = v; __Pyx_XDECREF(tmp);\
    } while (0)
#define __Pyx_DECREF_SET(r, v) do {\
        PyObject *tmp = (PyObject *) r;\
        r = v; __Pyx_DECREF(tmp);\
    } while (0)
#define __Pyx_CLEAR(r)    do { PyObject* tmp = ((PyObject*)(r)); r = NULL; __Pyx_DECREF(tmp);} while(0)
#define __Pyx_XCLEAR(r)   do { if((r) != NULL) {PyObject* tmp = ((PyObject*)(r)); r = NULL; __Pyx_DECREF(tmp);}} while(0)

/* PyErrExceptionMatches.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_PyErr_ExceptionMatches(err) __Pyx_PyErr_ExceptionMatchesInState(__pyx_tstate, err)
static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err);
#else
#define __Pyx_PyErr_ExceptionMatches(err)  PyErr_ExceptionMatches(err)
#endif

/* PyThreadStateGet.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_PyThreadState_declare  PyThreadState *__pyx_tstate;
#define __Pyx_PyThreadState_assign  __pyx_tstate = __Pyx_PyThreadState_Current;
#if PY_VERSION_HEX >= 0x030C00A6
#define __Pyx_PyErr_Occurred()  (__pyx_tstate->current_exception != NULL)
#define __Pyx_PyErr_CurrentExceptionType()  (__pyx_tstate->current_exception ? (PyObject*) Py_TYPE(__pyx_tstate->current_exception) : (PyObject*) NULL)
#else
#define __Pyx_PyErr_Occurred()  (__pyx_tstate->curexc_type != NULL)
#define __Pyx_PyErr_CurrentExceptionType()  (__pyx_tstate->curexc_type)
#endif
#else
#define __Pyx_PyThreadState_declare
#define __Pyx_PyThreadState_assign
#define __Pyx_PyErr_Occurred()  (PyErr_Occurred() != NULL)
#define __Pyx_PyErr_CurrentExceptionType()  PyErr_Occurred()
#endif

/* PyErrFetchRestore.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_PyErr_Clear() __Pyx_ErrRestore(NULL, NULL, NULL)
#define __Pyx_ErrRestoreWithState(type, value, tb)  __Pyx_ErrRestoreInState(PyThreadState_GET(), type, value, tb)
#define __Pyx_ErrFetchWithState(type, value, tb)    __Pyx_ErrFetchInState(PyThreadState_GET(), type, value, tb)
#define __Pyx_ErrRestore(type, value, tb)  __Pyx_ErrRestoreInState(__pyx_tstate, type, value, tb)
#define __Pyx_ErrFetch(type, value, tb)    __Pyx_ErrFetchInState(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030C00A6
#define __Pyx_PyErr_SetNone(exc) (Py_INCREF(exc), __Pyx_ErrRestore((exc), NULL, NULL))
#else
#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
#endif
#else
#define __Pyx_PyErr_Clear() PyErr_Clear()
#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
#define __Pyx_ErrRestoreWithState(type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetchWithState(type, value, tb)  PyErr_Fetch(type, value, tb)
#define __Pyx_ErrRestoreInState(tstate, type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetchInState(tstate, type, value, tb)  PyErr_Fetch(type, value, tb)
#define __Pyx_ErrRestore(type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetch(type, value, tb)  PyErr_Fetch(type, value, tb)
#endif

/* PyObjectGetAttrStr.proto */
#if CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject* obj, PyObject* attr_name);
#else
#define __Pyx_PyObject_GetAttrStr(o,n) PyObject_GetAttr(o,n)
#endif

/* PyObjectGetAttrStrNoError.proto */
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStrNoError(PyObject* obj, PyObject* attr_name);

/* GetBuiltinName.proto */
static PyObject *__Pyx_GetBuiltinName(PyObject *name);

/* TupleAndListFromArray.proto */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyList_FromArray(PyObject *const *src, Py_ssize_t n);
static CYTHON_INLINE PyObject* __Pyx_PyTuple_FromArray(PyObject *const *src, Py_ssize_t n);
#endif

/* IncludeStringH.proto */
#include <string.h>

/* BytesEquals.proto */
static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals);

/* UnicodeEquals.proto */
static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals);

/* fastcall.proto */
#if CYTHON_AVOID_BORROWED_REFS
    #define __Pyx_Arg_VARARGS(args, i) PySequence_GetItem(args, i)
#elif CYTHON_ASSUME_SAFE_MACROS
    #define __Pyx_Arg_VARARGS(args, i) PyTuple_GET_ITEM(args, i)
#else
    #define __Pyx_Arg_VARARGS(args, i) PyTuple_GetItem(args, i)
#endif
#if CYTHON_AVOID_BORROWED_REFS
    #define __Pyx_Arg_NewRef_VARARGS(arg) __Pyx_NewRef(arg)
    #define __Pyx_Arg_XDECREF_VARARGS(arg) Py_XDECREF(arg)
#else
    #define __Pyx_Arg_NewRef_VARARGS(arg) arg
    #define __Pyx_Arg_XDECREF_VARARGS(arg)
#endif
#define __Pyx_NumKwargs_VARARGS(kwds) PyDict_Size(kwds)
#define __Pyx_KwValues_VARARGS(args, nargs) NULL
#define __Pyx_GetKwValue_VARARGS(kw, kwvalues, s) __Pyx_PyDict_GetItemStrWithError(kw, s)
#define __Pyx_KwargsAsDict_VARARGS(kw, kwvalues) PyDict_Copy(kw)
#if CYTHON_METH_FASTCALL
    #define __Pyx_Arg_FASTCALL(args, i) args[i]
    #define __Pyx_NumKwargs_FASTCALL(kwds) PyTuple_GET_SIZE(kwds)
    #define __Pyx_KwValues_FASTCALL(args, nargs) ((args) + (nargs))
    static CYTHON_INLINE PyObject * __Pyx_GetKwValue_FASTCALL(PyObject *kwnames, PyObject *const *kwvalues, PyObject *s);
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030d0000
    CYTHON_UNUSED static PyObject *__Pyx_KwargsAsDict_FASTCALL(PyObject *kwnames, PyObject *const *kwvalues);
  #else
    #define __Pyx_KwargsAsDict_FASTCALL(kw, kwvalues) _PyStack_AsDict(kwvalues, kw)
  #endif
    #define __Pyx_Arg_NewRef_FASTCALL(arg) arg  /* no-op, __Pyx_Arg_FASTCALL is direct and this needs
                                                   to have the same reference counting */
    #define __Pyx_Arg_XDECREF_FASTCALL(arg)
#else
    #define __Pyx_Arg_FASTCALL __Pyx_Arg_VARARGS
    #define __Pyx_NumKwargs_FASTCALL __Pyx_NumKwargs_VARARGS
    #define __Pyx_KwValues_FASTCALL __Pyx_KwValues_VARARGS
    #define __Pyx_GetKwValue_FASTCALL __Pyx_GetKwValue_VARARGS
    #define __Pyx_KwargsAsDict_FASTCALL __Pyx_KwargsAsDict_VARARGS
    #define __Pyx_Arg_NewRef_FASTCALL(arg) __Pyx_Arg_NewRef_VARARGS(arg)
    #define __Pyx_Arg_XDECREF_FASTCALL(arg) __Pyx_Arg_XDECREF_VARARGS(arg)
#endif
#if CYTHON_COMPILING_IN_CPYTHON && CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
#define __Pyx_ArgsSlice_VARARGS(args, start, stop) __Pyx_PyTuple_FromArray(&__Pyx_Arg_VARARGS(args, start), stop - start)
#define __Pyx_ArgsSlice_FASTCALL(args, start, stop) __Pyx_PyTuple_FromArray(&__Pyx_Arg_FASTCALL(args, start), stop - start)
#else
#define __Pyx_ArgsSlice_VARARGS(args, start, stop) PyTuple_GetSlice(args, start, stop)
#define __Pyx_ArgsSlice_FASTCALL(args, start, stop) PyTuple_GetSlice(args, start, stop)
#endif

/* RaiseArgTupleInvalid.proto */
static void __Pyx_RaiseArgtupleInvalid(const char* func_name, int exact,
    Py_ssize_t num_min, Py_ssize_t num_max, Py_ssize_t num_found);

/* RaiseDoubleKeywords.proto */
static void __Pyx_RaiseDoubleKeywordsError(const char* func_name, PyObject* kw_name);

/* ParseKeywords.proto */
static int __Pyx_ParseOptionalKeywords(PyObject *kwds, PyObject *const *kwvalues,
    PyObject **argnames[],
    PyObject *kwds2, PyObject *values[], Py_ssize_t num_pos_args,
    const char* function_name);

/* PyDictVersioning.proto */
#if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS
#define __PYX_DICT_VERSION_INIT  ((PY_UINT64_T) -1)
#define __PYX_GET_DICT_VERSION(dict)  (((PyDictObject*)(dict))->ma_version_tag)
#define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var)\
    (version_var) = __PYX_GET_DICT_VERSION(dict);\
    (cache_var) = (value);
#define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP) {\
    static PY_UINT64_T __pyx_dict_version = 0;\
    static PyObject *__pyx_dict_cached_value = NULL;\
    if (likely(__PYX_GET_DICT_VERSION(DICT) == __pyx_dict_version)) {\
        (VAR) = __pyx_dict_cached_value;\
    } else {\
        (VAR) = __pyx_dict_cached_value = (LOOKUP);\
        __pyx_dict_version = __PYX_GET_DICT_VERSION(DICT);\
    }\
}
static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj);
static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj);
static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version);
#else
#define __PYX_GET_DICT_VERSION(dict)  (0)
#define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var)
#define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP)  (VAR) = (LOOKUP);
#endif

/* GetModuleGlobalName.proto */
#if CYTHON_USE_DICT_VERSIONS
#define __Pyx_GetModuleGlobalName(var, name)  do {\
    static PY_UINT64_T __pyx_dict_version = 0;\
    static PyObject *__pyx_dict_cached_value = NULL;\
    (var) = (likely(__pyx_dict_version == __PYX_GET_DICT_VERSION(__pyx_d))) ?\
        (likely(__pyx_dict_cached_value) ? __Pyx_NewRef(__pyx_dict_cached_value) : __Pyx_GetBuiltinName(name)) :\
        __Pyx__GetModuleGlobalName(name, &__pyx_dict_version, &__pyx_dict_cached_value);\
} while(0)
#define __Pyx_GetModuleGlobalNameUncached(var, name)  do {\
    PY_UINT64_T __pyx_dict_version;\
    PyObject *__pyx_dict_cached_value;\
    (var) = __Pyx__GetModuleGlobalName(name, &__pyx_dict_version, &__pyx_dict_cached_value);\
} while(0)
static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value);
#else
#define __Pyx_GetModuleGlobalName(var, name)  (var) = __Pyx__GetModuleGlobalName(name)
#define __Pyx_GetModuleGlobalNameUncached(var, name)  (var) = __Pyx__GetModuleGlobalName(name)
static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name);
#endif

/* PyObjectCall.proto */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw);
#else
#define __Pyx_PyObject_Call(func, arg, kw) PyObject_Call(func, arg, kw)
#endif

/* PyFunctionFastCall.proto */
#if CYTHON_FAST_PYCALL
#if !CYTHON_VECTORCALL
#define __Pyx_PyFunction_FastCall(func, args, nargs)\
    __Pyx_PyFunction_FastCallDict((func), (args), (nargs), NULL)
static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, Py_ssize_t nargs, PyObject *kwargs);
#endif
#define __Pyx_BUILD_ASSERT_EXPR(cond)\
    (sizeof(char [1 - 2*!(cond)]) - 1)
#ifndef Py_MEMBER_SIZE
#define Py_MEMBER_SIZE(type, member) sizeof(((type *)0)->member)
#endif
#if !CYTHON_VECTORCALL
#if PY_VERSION_HEX >= 0x03080000
  #include "frameobject.h"
#if PY_VERSION_HEX >= 0x030b00a6 && !CYTHON_COMPILING_IN_LIMITED_API
  #ifndef Py_BUILD_CORE
    #define Py_BUILD_CORE 1
  #endif
  #include "internal/pycore_frame.h"
#endif
  #define __Pxy_PyFrame_Initialize_Offsets()
  #define __Pyx_PyFrame_GetLocalsplus(frame)  ((frame)->f_localsplus)
#else
  static size_t __pyx_pyframe_localsplus_offset = 0;
  #include "frameobject.h"
  #define __Pxy_PyFrame_Initialize_Offsets()\
    ((void)__Pyx_BUILD_ASSERT_EXPR(sizeof(PyFrameObject) == offsetof(PyFrameObject, f_localsplus) + Py_MEMBER_SIZE(PyFrameObject, f_localsplus)),\
     (void)(__pyx_pyframe_localsplus_offset = ((size_t)PyFrame_Type.tp_basicsize) - Py_MEMBER_SIZE(PyFrameObject, f_localsplus)))
  #define __Pyx_PyFrame_GetLocalsplus(frame)\
    (assert(__pyx_pyframe_localsplus_offset), (PyObject **)(((char *)(frame)) + __pyx_pyframe_localsplus_offset))
#endif
#endif
#endif

/* PyObjectCallMethO.proto */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg);
#endif

/* PyObjectFastCall.proto */
#define __Pyx_PyObject_FastCall(func, args, nargs)  __Pyx_PyObject_FastCallDict(func, args, (size_t)(nargs), NULL)
static CYTHON_INLINE PyObject* __Pyx_PyObject_FastCallDict(PyObject *func, PyObject **args, size_t nargs, PyObject *kwargs);

/* PyIntBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_MultiplyCObj(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyInt_MultiplyCObj(op1, op2, intval, inplace, zerodivision_check)\
    (inplace ? PyNumber_InPlaceMultiply(op1, op2) : PyNumber_Multiply(op1, op2))
#endif

/* RaiseTooManyValuesToUnpack.proto */
static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected);

/* RaiseNeedMoreValuesToUnpack.proto */
static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index);

/* IterFinish.proto */
static CYTHON_INLINE int __Pyx_IterFinish(void);

/* UnpackItemEndCheck.proto */
static int __Pyx_IternextUnpackEndCheck(PyObject *retval, Py_ssize_t expected);

/* PyIntBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_TrueDivideObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyInt_TrueDivideObjC(op1, op2, intval, inplace, zerodivision_check)\
    (inplace ? PyNumber_InPlaceTrueDivide(op1, op2) : PyNumber_TrueDivide(op1, op2))
#endif

/* PyIntCompare.proto */
static CYTHON_INLINE int __Pyx_PyInt_BoolNeObjC(PyObject *op1, PyObject *op2, long intval, long inplace);

/* ListAppend.proto */
#if CYTHON_USE_PYLIST_INTERNALS && CYTHON_ASSUME_SAFE_MACROS
static CYTHON_INLINE int __Pyx_PyList_Append(PyObject* list, PyObject* x) {
    PyListObject* L = (PyListObject*) list;
    Py_ssize_t len = Py_SIZE(list);
    if (likely(L->allocated > len) & likely(len > (L->allocated >> 1))) {
        Py_INCREF(x);
        #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030d0000
        L->ob_item[len] = x;
        #else
        PyList_SET_ITEM(list, len, x);
        #endif
        __Pyx_SET_SIZE(list, len + 1);
        return 0;
    }
    return PyList_Append(list, x);
}
#else
#define __Pyx_PyList_Append(L,x) PyList_Append(L,x)
#endif

/* ListCompAppend.proto */
#if CYTHON_USE_PYLIST_INTERNALS && CYTHON_ASSUME_SAFE_MACROS
static CYTHON_INLINE int __Pyx_ListComp_Append(PyObject* list, PyObject* x) {
    PyListObject* L = (PyListObject*) list;
    Py_ssize_t len = Py_SIZE(list);
    if (likely(L->allocated > len)) {
        Py_INCREF(x);
        #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030d0000
        L->ob_item[len] = x;
        #else
        PyList_SET_ITEM(list, len, x);
        #endif
        __Pyx_SET_SIZE(list, len + 1);
        return 0;
    }
    return PyList_Append(list, x);
}
#else
#define __Pyx_ListComp_Append(L,x) PyList_Append(L,x)
#endif

/* GetItemInt.proto */
#define __Pyx_GetItemInt(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_GetItemInt_Fast(o, (Py_ssize_t)i, is_list, wraparound, boundscheck) :\
    (is_list ? (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL) :\
               __Pyx_GetItemInt_Generic(o, to_py_func(i))))
#define __Pyx_GetItemInt_List(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_GetItemInt_List_Fast(o, (Py_ssize_t)i, wraparound, boundscheck) :\
    (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL))
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i,
                                                              int wraparound, int boundscheck);
#define __Pyx_GetItemInt_Tuple(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_GetItemInt_Tuple_Fast(o, (Py_ssize_t)i, wraparound, boundscheck) :\
    (PyErr_SetString(PyExc_IndexError, "tuple index out of range"), (PyObject*)NULL))
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,
                                                              int wraparound, int boundscheck);
static PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j);
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i,
                                                     int is_list, int wraparound, int boundscheck);

/* PyObjectCallOneArg.proto */
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg);

/* ObjectGetItem.proto */
#if CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE PyObject *__Pyx_PyObject_GetItem(PyObject *obj, PyObject *key);
#else
#define __Pyx_PyObject_GetItem(obj, key)  PyObject_GetItem(obj, key)
#endif

/* PyIntCompare.proto */
static CYTHON_INLINE int __Pyx_PyInt_BoolEqObjC(PyObject *op1, PyObject *op2, long intval, long inplace);

/* RaiseUnboundLocalError.proto */
static CYTHON_INLINE void __Pyx_RaiseUnboundLocalError(const char *varname);

/* GetException.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_GetException(type, value, tb)  __Pyx__GetException(__pyx_tstate, type, value, tb)
static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#else
static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb);
#endif

/* pep479.proto */
static void __Pyx_Generator_Replace_StopIteration(int in_async_gen);

/* IncludeStructmemberH.proto */
#include <structmember.h>

/* FixUpExtensionType.proto */
#if CYTHON_USE_TYPE_SPECS
static int __Pyx_fix_up_extension_type_from_spec(PyType_Spec *spec, PyTypeObject *type);
#endif

/* FetchSharedCythonModule.proto */
static PyObject *__Pyx_FetchSharedCythonABIModule(void);

/* FetchCommonType.proto */
#if !CYTHON_USE_TYPE_SPECS
static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type);
#else
static PyTypeObject* __Pyx_FetchCommonTypeFromSpec(PyObject *module, PyType_Spec *spec, PyObject *bases);
#endif

/* RaiseException.proto */
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause);

/* GetTopmostException.proto */
#if CYTHON_USE_EXC_INFO_STACK && CYTHON_FAST_THREAD_STATE
static _PyErr_StackItem * __Pyx_PyErr_GetTopmostException(PyThreadState *tstate);
#endif

/* SaveResetException.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_ExceptionSave(type, value, tb)  __Pyx__ExceptionSave(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#define __Pyx_ExceptionReset(type, value, tb)  __Pyx__ExceptionReset(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
#else
#define __Pyx_ExceptionSave(type, value, tb)   PyErr_GetExcInfo(type, value, tb)
#define __Pyx_ExceptionReset(type, value, tb)  PyErr_SetExcInfo(type, value, tb)
#endif

/* SwapException.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_ExceptionSwap(type, value, tb)  __Pyx__ExceptionSwap(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionSwap(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#else
static CYTHON_INLINE void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb);
#endif

/* PyObjectCall2Args.proto */
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call2Args(PyObject* function, PyObject* arg1, PyObject* arg2);

/* PyObjectGetMethod.proto */
static int __Pyx_PyObject_GetMethod(PyObject *obj, PyObject *name, PyObject **method);

/* PyObjectCallMethod1.proto */
static PyObject* __Pyx_PyObject_CallMethod1(PyObject* obj, PyObject* method_name, PyObject* arg);

/* PyObjectCallNoArg.proto */
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func);

/* CoroutineBase.proto */
struct __pyx_CoroutineObject;
typedef PyObject *(*__pyx_coroutine_body_t)(struct __pyx_CoroutineObject *, PyThreadState *, PyObject *);
#if CYTHON_USE_EXC_INFO_STACK
#define __Pyx_ExcInfoStruct  _PyErr_StackItem
#else
typedef struct {
    PyObject *exc_type;
    PyObject *exc_value;
    PyObject *exc_traceback;
} __Pyx_ExcInfoStruct;
#endif
typedef struct __pyx_CoroutineObject {
    PyObject_HEAD
    __pyx_coroutine_body_t body;
    PyObject *closure;
    __Pyx_ExcInfoStruct gi_exc_state;
    PyObject *gi_weakreflist;
    PyObject *classobj;
    PyObject *yieldfrom;
    PyObject *gi_name;
    PyObject *gi_qualname;
    PyObject *gi_modulename;
    PyObject *gi_code;
    PyObject *gi_frame;
    int resume_label;
    char is_running;
} __pyx_CoroutineObject;
static __pyx_CoroutineObject *__Pyx__Coroutine_New(
    PyTypeObject *type, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
    PyObject *name, PyObject *qualname, PyObject *module_name);
static __pyx_CoroutineObject *__Pyx__Coroutine_NewInit(
            __pyx_CoroutineObject *gen, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
            PyObject *name, PyObject *qualname, PyObject *module_name);
static CYTHON_INLINE void __Pyx_Coroutine_ExceptionClear(__Pyx_ExcInfoStruct *self);
static int __Pyx_Coroutine_clear(PyObject *self);
static PyObject *__Pyx_Coroutine_Send(PyObject *self, PyObject *value);
static PyObject *__Pyx_Coroutine_Close(PyObject *self);
static PyObject *__Pyx_Coroutine_Throw(PyObject *gen, PyObject *args);
#if CYTHON_USE_EXC_INFO_STACK
#define __Pyx_Coroutine_SwapException(self)
#define __Pyx_Coroutine_ResetAndClearException(self)  __Pyx_Coroutine_ExceptionClear(&(self)->gi_exc_state)
#else
#define __Pyx_Coroutine_SwapException(self) {\
    __Pyx_ExceptionSwap(&(self)->gi_exc_state.exc_type, &(self)->gi_exc_state.exc_value, &(self)->gi_exc_state.exc_traceback);\
    __Pyx_Coroutine_ResetFrameBackpointer(&(self)->gi_exc_state);\
    }
#define __Pyx_Coroutine_ResetAndClearException(self) {\
    __Pyx_ExceptionReset((self)->gi_exc_state.exc_type, (self)->gi_exc_state.exc_value, (self)->gi_exc_state.exc_traceback);\
    (self)->gi_exc_state.exc_type = (self)->gi_exc_state.exc_value = (self)->gi_exc_state.exc_traceback = NULL;\
    }
#endif
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_PyGen_FetchStopIterationValue(pvalue)\
    __Pyx_PyGen__FetchStopIterationValue(__pyx_tstate, pvalue)
#else
#define __Pyx_PyGen_FetchStopIterationValue(pvalue)\
    __Pyx_PyGen__FetchStopIterationValue(__Pyx_PyThreadState_Current, pvalue)
#endif
static int __Pyx_PyGen__FetchStopIterationValue(PyThreadState *tstate, PyObject **pvalue);
static CYTHON_INLINE void __Pyx_Coroutine_ResetFrameBackpointer(__Pyx_ExcInfoStruct *exc_state);

/* PyObject_GenericGetAttrNoDict.proto */
#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
static CYTHON_INLINE PyObject* __Pyx_PyObject_GenericGetAttrNoDict(PyObject* obj, PyObject* attr_name);
#else
#define __Pyx_PyObject_GenericGetAttrNoDict PyObject_GenericGetAttr
#endif

/* PatchModuleWithCoroutine.proto */
static PyObject* __Pyx_Coroutine_patch_module(PyObject* module, const char* py_code);

/* PatchGeneratorABC.proto */
static int __Pyx_patch_abc(void);

/* Generator.proto */
#define __Pyx_Generator_USED
#define __Pyx_Generator_CheckExact(obj) __Pyx_IS_TYPE(obj, __pyx_GeneratorType)
#define __Pyx_Generator_New(body, code, closure, name, qualname, module_name)\
    __Pyx__Coroutine_New(__pyx_GeneratorType, body, code, closure, name, qualname, module_name)
static PyObject *__Pyx_Generator_Next(PyObject *self);
static int __pyx_Generator_init(PyObject *module);

/* GeneratorYieldFrom.proto */
static CYTHON_INLINE PyObject* __Pyx_Generator_Yield_From(__pyx_CoroutineObject *gen, PyObject *source);

/* append.proto */
static CYTHON_INLINE int __Pyx_PyObject_Append(PyObject* L, PyObject* x);

/* PyIntBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_AddObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyInt_AddObjC(op1, op2, intval, inplace, zerodivision_check)\
    (inplace ? PyNumber_InPlaceAdd(op1, op2) : PyNumber_Add(op1, op2))
#endif

/* py_abs.proto */
#if CYTHON_USE_PYLONG_INTERNALS
static PyObject *__Pyx_PyLong_AbsNeg(PyObject *num);
#define __Pyx_PyNumber_Absolute(x)\
    ((likely(PyLong_CheckExact(x))) ?\
         (likely(__Pyx_PyLong_IsNonNeg(x)) ? (Py_INCREF(x), (x)) : __Pyx_PyLong_AbsNeg(x)) :\
         PyNumber_Absolute(x))
#else
#define __Pyx_PyNumber_Absolute(x)  PyNumber_Absolute(x)
#endif

/* PyFloatBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyFloat_TrueDivideObjC(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyFloat_TrueDivideObjC(op1, op2, floatval, inplace, zerodivision_check)\
    (inplace ? PyNumber_InPlaceTrueDivide(op1, op2) : PyNumber_TrueDivide(op1, op2))
#endif

/* pybytes_as_double.proto */
static double __Pyx_SlowPyString_AsDouble(PyObject *obj);
static double __Pyx__PyBytes_AsDouble(PyObject *obj, const char* start, Py_ssize_t length);
static CYTHON_INLINE double __Pyx_PyBytes_AsDouble(PyObject *obj) {
    char* as_c_string;
    Py_ssize_t size;
#if CYTHON_ASSUME_SAFE_MACROS
    as_c_string = PyBytes_AS_STRING(obj);
    size = PyBytes_GET_SIZE(obj);
#else
    if (PyBytes_AsStringAndSize(obj, &as_c_string, &size) < 0) {
        return (double)-1;
    }
#endif
    return __Pyx__PyBytes_AsDouble(obj, as_c_string, size);
}
static CYTHON_INLINE double __Pyx_PyByteArray_AsDouble(PyObject *obj) {
    char* as_c_string;
    Py_ssize_t size;
#if CYTHON_ASSUME_SAFE_MACROS
    as_c_string = PyByteArray_AS_STRING(obj);
    size = PyByteArray_GET_SIZE(obj);
#else
    as_c_string = PyByteArray_AsString(obj);
    if (as_c_string == NULL) {
        return (double)-1;
    }
    size = PyByteArray_Size(obj);
#endif
    return __Pyx__PyBytes_AsDouble(obj, as_c_string, size);
}

/* pyunicode_as_double.proto */
#if PY_MAJOR_VERSION >= 3 && !CYTHON_COMPILING_IN_PYPY && CYTHON_ASSUME_SAFE_MACROS
static const char* __Pyx__PyUnicode_AsDouble_Copy(const void* data, const int kind, char* buffer, Py_ssize_t start, Py_ssize_t end) {
    int last_was_punctuation;
    Py_ssize_t i;
    last_was_punctuation = 1;
    for (i=start; i <= end; i++) {
        Py_UCS4 chr = PyUnicode_READ(kind, data, i);
        int is_punctuation = (chr == '_') | (chr == '.');
        *buffer = (char)chr;
        buffer += (chr != '_');
        if (unlikely(chr > 127)) goto parse_failure;
        if (unlikely(last_was_punctuation & is_punctuation)) goto parse_failure;
        last_was_punctuation = is_punctuation;
    }
    if (unlikely(last_was_punctuation)) goto parse_failure;
    *buffer = '\0';
    return buffer;
parse_failure:
    return NULL;
}
static double __Pyx__PyUnicode_AsDouble_inf_nan(const void* data, int kind, Py_ssize_t start, Py_ssize_t length) {
    int matches = 1;
    Py_UCS4 chr;
    Py_UCS4 sign = PyUnicode_READ(kind, data, start);
    int is_signed = (sign == '-') | (sign == '+');
    start += is_signed;
    length -= is_signed;
    switch (PyUnicode_READ(kind, data, start)) {
        #ifdef Py_NAN
        case 'n':
        case 'N':
            if (unlikely(length != 3)) goto parse_failure;
            chr = PyUnicode_READ(kind, data, start+1);
            matches &= (chr == 'a') | (chr == 'A');
            chr = PyUnicode_READ(kind, data, start+2);
            matches &= (chr == 'n') | (chr == 'N');
            if (unlikely(!matches)) goto parse_failure;
            return (sign == '-') ? -Py_NAN : Py_NAN;
        #endif
        case 'i':
        case 'I':
            if (unlikely(length < 3)) goto parse_failure;
            chr = PyUnicode_READ(kind, data, start+1);
            matches &= (chr == 'n') | (chr == 'N');
            chr = PyUnicode_READ(kind, data, start+2);
            matches &= (chr == 'f') | (chr == 'F');
            if (likely(length == 3 && matches))
                return (sign == '-') ? -Py_HUGE_VAL : Py_HUGE_VAL;
            if (unlikely(length != 8)) goto parse_failure;
            chr = PyUnicode_READ(kind, data, start+3);
            matches &= (chr == 'i') | (chr == 'I');
            chr = PyUnicode_READ(kind, data, start+4);
            matches &= (chr == 'n') | (chr == 'N');
            chr = PyUnicode_READ(kind, data, start+5);
            matches &= (chr == 'i') | (chr == 'I');
            chr = PyUnicode_READ(kind, data, start+6);
            matches &= (chr == 't') | (chr == 'T');
            chr = PyUnicode_READ(kind, data, start+7);
            matches &= (chr == 'y') | (chr == 'Y');
            if (unlikely(!matches)) goto parse_failure;
            return (sign == '-') ? -Py_HUGE_VAL : Py_HUGE_VAL;
        case '.': case '0': case '1': case '2': case '3': case '4': case '5': case '6': case '7': case '8': case '9':
            break;
        default:
            goto parse_failure;
    }
    return 0.0;
parse_failure:
    return -1.0;
}
static double __Pyx_PyUnicode_AsDouble_WithSpaces(PyObject *obj) {
    double value;
    const char *last;
    char *end;
    Py_ssize_t start, length = PyUnicode_GET_LENGTH(obj);
    const int kind = PyUnicode_KIND(obj);
    const void* data = PyUnicode_DATA(obj);
    start = 0;
    while (Py_UNICODE_ISSPACE(PyUnicode_READ(kind, data, start)))
        start++;
    while (start < length - 1 && Py_UNICODE_ISSPACE(PyUnicode_READ(kind, data, length - 1)))
        length--;
    length -= start;
    if (unlikely(length <= 0)) goto fallback;
    value = __Pyx__PyUnicode_AsDouble_inf_nan(data, kind, start, length);
    if (unlikely(value == -1.0)) goto fallback;
    if (value != 0.0) return value;
    if (length < 40) {
        char number[40];
        last = __Pyx__PyUnicode_AsDouble_Copy(data, kind, number, start, start + length);
        if (unlikely(!last)) goto fallback;
        value = PyOS_string_to_double(number, &end, NULL);
    } else {
        char *number = (char*) PyMem_Malloc((length + 1) * sizeof(char));
        if (unlikely(!number)) goto fallback;
        last = __Pyx__PyUnicode_AsDouble_Copy(data, kind, number, start, start + length);
        if (unlikely(!last)) {
            PyMem_Free(number);
            goto fallback;
        }
        value = PyOS_string_to_double(number, &end, NULL);
        PyMem_Free(number);
    }
    if (likely(end == last) || (value == (double)-1 && PyErr_Occurred())) {
        return value;
    }
fallback:
    return __Pyx_SlowPyString_AsDouble(obj);
}
#endif
static CYTHON_INLINE double __Pyx_PyUnicode_AsDouble(PyObject *obj) {
#if PY_MAJOR_VERSION >= 3 && !CYTHON_COMPILING_IN_PYPY && CYTHON_ASSUME_SAFE_MACROS
    if (unlikely(__Pyx_PyUnicode_READY(obj) == -1))
        return (double)-1;
    if (likely(PyUnicode_IS_ASCII(obj))) {
        const char *s;
        Py_ssize_t length;
        s = PyUnicode_AsUTF8AndSize(obj, &length);
        return __Pyx__PyBytes_AsDouble(obj, s, length);
    }
    return __Pyx_PyUnicode_AsDouble_WithSpaces(obj);
#else
    return __Pyx_SlowPyString_AsDouble(obj);
#endif
}

/* pynumber_float.proto */
static CYTHON_INLINE PyObject* __Pyx__PyNumber_Float(PyObject* obj);
#define __Pyx_PyNumber_Float(x) (PyFloat_CheckExact(x) ? __Pyx_NewRef(x) : __Pyx__PyNumber_Float(x))

/* PyFloatBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static int __Pyx_PyFloat_BoolEqObjC(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyFloat_BoolEqObjC(op1, op2, floatval, inplace, zerodivision_check)\
    __Pyx_PyObject_IsTrueAndDecref(PyObject_RichCompare(op1, op2, Py_EQ))
    #endif

/* pow2.proto */
#define __Pyx_PyNumber_Power2(a, b) PyNumber_Power(a, b, Py_None)

/* PyIntBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_SubtractCObj(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyInt_SubtractCObj(op1, op2, intval, inplace, zerodivision_check)\
    (inplace ? PyNumber_InPlaceSubtract(op1, op2) : PyNumber_Subtract(op1, op2))
#endif

/* RaiseClosureNameError.proto */
static CYTHON_INLINE void __Pyx_RaiseClosureNameError(const char *varname);

/* PyMethodNew.proto */
#if CYTHON_COMPILING_IN_LIMITED_API
static PyObject *__Pyx_PyMethod_New(PyObject *func, PyObject *self, PyObject *typ) {
    PyObject *typesModule=NULL, *methodType=NULL, *result=NULL;
    CYTHON_UNUSED_VAR(typ);
    if (!self)
        return __Pyx_NewRef(func);
    typesModule = PyImport_ImportModule("types");
    if (!typesModule) return NULL;
    methodType = PyObject_GetAttrString(typesModule, "MethodType");
    Py_DECREF(typesModule);
    if (!methodType) return NULL;
    result = PyObject_CallFunctionObjArgs(methodType, func, self, NULL);
    Py_DECREF(methodType);
    return result;
}
#elif PY_MAJOR_VERSION >= 3
static PyObject *__Pyx_PyMethod_New(PyObject *func, PyObject *self, PyObject *typ) {
    CYTHON_UNUSED_VAR(typ);
    if (!self)
        return __Pyx_NewRef(func);
    return PyMethod_New(func, self);
}
#else
    #define __Pyx_PyMethod_New PyMethod_New
#endif

/* PyVectorcallFastCallDict.proto */
#if CYTHON_METH_FASTCALL
static CYTHON_INLINE PyObject *__Pyx_PyVectorcall_FastCallDict(PyObject *func, __pyx_vectorcallfunc vc, PyObject *const *args, size_t nargs, PyObject *kw);
#endif

/* CythonFunctionShared.proto */
#define __Pyx_CyFunction_USED
#define __Pyx_CYFUNCTION_STATICMETHOD  0x01
#define __Pyx_CYFUNCTION_CLASSMETHOD   0x02
#define __Pyx_CYFUNCTION_CCLASS        0x04
#define __Pyx_CYFUNCTION_COROUTINE     0x08
#define __Pyx_CyFunction_GetClosure(f)\
    (((__pyx_CyFunctionObject *) (f))->func_closure)
#if PY_VERSION_HEX < 0x030900B1 || CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx_CyFunction_GetClassObj(f)\
      (((__pyx_CyFunctionObject *) (f))->func_classobj)
#else
  #define __Pyx_CyFunction_GetClassObj(f)\
      ((PyObject*) ((PyCMethodObject *) (f))->mm_class)
#endif
#define __Pyx_CyFunction_SetClassObj(f, classobj)\
    __Pyx__CyFunction_SetClassObj((__pyx_CyFunctionObject *) (f), (classobj))
#define __Pyx_CyFunction_Defaults(type, f)\
    ((type *)(((__pyx_CyFunctionObject *) (f))->defaults))
#define __Pyx_CyFunction_SetDefaultsGetter(f, g)\
    ((__pyx_CyFunctionObject *) (f))->defaults_getter = (g)
typedef struct {
#if CYTHON_COMPILING_IN_LIMITED_API
    PyObject_HEAD
    PyObject *func;
#elif PY_VERSION_HEX < 0x030900B1
    PyCFunctionObject func;
#else
    PyCMethodObject func;
#endif
#if CYTHON_BACKPORT_VECTORCALL
    __pyx_vectorcallfunc func_vectorcall;
#endif
#if PY_VERSION_HEX < 0x030500A0 || CYTHON_COMPILING_IN_LIMITED_API
    PyObject *func_weakreflist;
#endif
    PyObject *func_dict;
    PyObject *func_name;
    PyObject *func_qualname;
    PyObject *func_doc;
    PyObject *func_globals;
    PyObject *func_code;
    PyObject *func_closure;
#if PY_VERSION_HEX < 0x030900B1 || CYTHON_COMPILING_IN_LIMITED_API
    PyObject *func_classobj;
#endif
    void *defaults;
    int defaults_pyobjects;
    size_t defaults_size;
    int flags;
    PyObject *defaults_tuple;
    PyObject *defaults_kwdict;
    PyObject *(*defaults_getter)(PyObject *);
    PyObject *func_annotations;
    PyObject *func_is_coroutine;
} __pyx_CyFunctionObject;
#undef __Pyx_CyOrPyCFunction_Check
#define __Pyx_CyFunction_Check(obj)  __Pyx_TypeCheck(obj, __pyx_CyFunctionType)
#define __Pyx_CyOrPyCFunction_Check(obj)  __Pyx_TypeCheck2(obj, __pyx_CyFunctionType, &PyCFunction_Type)
#define __Pyx_CyFunction_CheckExact(obj)  __Pyx_IS_TYPE(obj, __pyx_CyFunctionType)
static CYTHON_INLINE int __Pyx__IsSameCyOrCFunction(PyObject *func, void *cfunc);
#undef __Pyx_IsSameCFunction
#define __Pyx_IsSameCFunction(func, cfunc)   __Pyx__IsSameCyOrCFunction(func, cfunc)
static PyObject *__Pyx_CyFunction_Init(__pyx_CyFunctionObject* op, PyMethodDef *ml,
                                      int flags, PyObject* qualname,
                                      PyObject *closure,
                                      PyObject *module, PyObject *globals,
                                      PyObject* code);
static CYTHON_INLINE void __Pyx__CyFunction_SetClassObj(__pyx_CyFunctionObject* f, PyObject* classobj);
static CYTHON_INLINE void *__Pyx_CyFunction_InitDefaults(PyObject *m,
                                                         size_t size,
                                                         int pyobjects);
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *m,
                                                            PyObject *tuple);
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *m,
                                                             PyObject *dict);
static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *m,
                                                              PyObject *dict);
static int __pyx_CyFunction_init(PyObject *module);
#if CYTHON_METH_FASTCALL
static PyObject * __Pyx_CyFunction_Vectorcall_NOARGS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames);
static PyObject * __Pyx_CyFunction_Vectorcall_O(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames);
static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames);
static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS_METHOD(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames);
#if CYTHON_BACKPORT_VECTORCALL
#define __Pyx_CyFunction_func_vectorcall(f) (((__pyx_CyFunctionObject*)f)->func_vectorcall)
#else
#define __Pyx_CyFunction_func_vectorcall(f) (((PyCFunctionObject*)f)->vectorcall)
#endif
#endif

/* CythonFunction.proto */
static PyObject *__Pyx_CyFunction_New(PyMethodDef *ml,
                                      int flags, PyObject* qualname,
                                      PyObject *closure,
                                      PyObject *module, PyObject *globals,
                                      PyObject* code);

/* ListExtend.proto */
static CYTHON_INLINE int __Pyx_PyList_Extend(PyObject* L, PyObject* v) {
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030d0000
    PyObject* none = _PyList_Extend((PyListObject*)L, v);
    if (unlikely(!none))
        return -1;
    Py_DECREF(none);
    return 0;
#else
    return PyList_SetSlice(L, PY_SSIZE_T_MAX, PY_SSIZE_T_MAX, v);
#endif
}

/* pyfrozenset_new.proto */
static CYTHON_INLINE PyObject* __Pyx_PyFrozenSet_New(PyObject* it);

/* PySetContains.proto */
static CYTHON_INLINE int __Pyx_PySet_ContainsTF(PyObject* key, PyObject* set, int eq);

/* PyObjectCallMethod0.proto */
static PyObject* __Pyx_PyObject_CallMethod0(PyObject* obj, PyObject* method_name);

/* ValidateBasesTuple.proto */
#if CYTHON_COMPILING_IN_CPYTHON || CYTHON_COMPILING_IN_LIMITED_API || CYTHON_USE_TYPE_SPECS
static int __Pyx_validate_bases_tuple(const char *type_name, Py_ssize_t dictoffset, PyObject *bases);
#endif

/* PyType_Ready.proto */
CYTHON_UNUSED static int __Pyx_PyType_Ready(PyTypeObject *t);

/* Import.proto */
static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level);

/* ImportFrom.proto */
static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name);

/* ImportDottedModule.proto */
static PyObject *__Pyx_ImportDottedModule(PyObject *name, PyObject *parts_tuple);
#if PY_MAJOR_VERSION >= 3
static PyObject *__Pyx_ImportDottedModule_WalkParts(PyObject *module, PyObject *name, PyObject *parts_tuple);
#endif

/* FastTypeChecks.proto */
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_TypeCheck(obj, type) __Pyx_IsSubtype(Py_TYPE(obj), (PyTypeObject *)type)
#define __Pyx_TypeCheck2(obj, type1, type2) __Pyx_IsAnySubtype2(Py_TYPE(obj), (PyTypeObject *)type1, (PyTypeObject *)type2)
static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b);
static CYTHON_INLINE int __Pyx_IsAnySubtype2(PyTypeObject *cls, PyTypeObject *a, PyTypeObject *b);
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject *type);
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *type1, PyObject *type2);
#else
#define __Pyx_TypeCheck(obj, type) PyObject_TypeCheck(obj, (PyTypeObject *)type)
#define __Pyx_TypeCheck2(obj, type1, type2) (PyObject_TypeCheck(obj, (PyTypeObject *)type1) || PyObject_TypeCheck(obj, (PyTypeObject *)type2))
#define __Pyx_PyErr_GivenExceptionMatches(err, type) PyErr_GivenExceptionMatches(err, type)
#define __Pyx_PyErr_GivenExceptionMatches2(err, type1, type2) (PyErr_GivenExceptionMatches(err, type1) || PyErr_GivenExceptionMatches(err, type2))
#endif
#define __Pyx_PyErr_ExceptionMatches2(err1, err2)  __Pyx_PyErr_GivenExceptionMatches2(__Pyx_PyErr_CurrentExceptionType(), err1, err2)
#define __Pyx_PyException_Check(obj) __Pyx_TypeCheck(obj, PyExc_Exception)

/* CLineInTraceback.proto */
#ifdef CYTHON_CLINE_IN_TRACEBACK
#define __Pyx_CLineForTraceback(tstate, c_line)  (((CYTHON_CLINE_IN_TRACEBACK)) ? c_line : 0)
#else
static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line);
#endif

/* CodeObjectCache.proto */
#if !CYTHON_COMPILING_IN_LIMITED_API
typedef struct {
    PyCodeObject* code_object;
    int code_line;
} __Pyx_CodeObjectCacheEntry;
struct __Pyx_CodeObjectCache {
    int count;
    int max_count;
    __Pyx_CodeObjectCacheEntry* entries;
};
static struct __Pyx_CodeObjectCache __pyx_code_cache = {0,0,NULL};
static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line);
static PyCodeObject *__pyx_find_code_object(int code_line);
static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object);
#endif

/* AddTraceback.proto */
static void __Pyx_AddTraceback(const char *funcname, int c_line,
                               int py_line, const char *filename);

/* RealImag.proto */
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    #define __Pyx_CREAL(z) ((z).real())
    #define __Pyx_CIMAG(z) ((z).imag())
  #else
    #define __Pyx_CREAL(z) (__real__(z))
    #define __Pyx_CIMAG(z) (__imag__(z))
  #endif
#else
    #define __Pyx_CREAL(z) ((z).real)
    #define __Pyx_CIMAG(z) ((z).imag)
#endif
#if defined(__cplusplus) && CYTHON_CCOMPLEX\
        && (defined(_WIN32) || defined(__clang__) || (defined(__GNUC__) && (__GNUC__ >= 5 || __GNUC__ == 4 && __GNUC_MINOR__ >= 4 )) || __cplusplus >= 201103)
    #define __Pyx_SET_CREAL(z,x) ((z).real(x))
    #define __Pyx_SET_CIMAG(z,y) ((z).imag(y))
#else
    #define __Pyx_SET_CREAL(z,x) __Pyx_CREAL(z) = (x)
    #define __Pyx_SET_CIMAG(z,y) __Pyx_CIMAG(z) = (y)
#endif

/* Arithmetic.proto */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
    #define __Pyx_c_eq_double(a, b)   ((a)==(b))
    #define __Pyx_c_sum_double(a, b)  ((a)+(b))
    #define __Pyx_c_diff_double(a, b) ((a)-(b))
    #define __Pyx_c_prod_double(a, b) ((a)*(b))
    #define __Pyx_c_quot_double(a, b) ((a)/(b))
    #define __Pyx_c_neg_double(a)     (-(a))
  #ifdef __cplusplus
    #define __Pyx_c_is_zero_double(z) ((z)==(double)0)
    #define __Pyx_c_conj_double(z)    (::std::conj(z))
    #if 1
        #define __Pyx_c_abs_double(z)     (::std::abs(z))
        #define __Pyx_c_pow_double(a, b)  (::std::pow(a, b))
    #endif
  #else
    #define __Pyx_c_is_zero_double(z) ((z)==0)
    #define __Pyx_c_conj_double(z)    (conj(z))
    #if 1
        #define __Pyx_c_abs_double(z)     (cabs(z))
        #define __Pyx_c_pow_double(a, b)  (cpow(a, b))
    #endif
 #endif
#else
    static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex);
    static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex);
    #if 1
        static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex);
        static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex, __pyx_t_double_complex);
    #endif
#endif

/* FromPy.proto */
static __pyx_t_double_complex __Pyx_PyComplex_As___pyx_t_double_complex(PyObject*);

/* ToPy.proto */
#define __pyx_PyComplex_FromComplex(z)\
        PyComplex_FromDoubles((double)__Pyx_CREAL(z),\
                              (double)__Pyx_CIMAG(z))

/* GCCDiagnostics.proto */
#if !defined(__INTEL_COMPILER) && defined(__GNUC__) && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 6))
#define __Pyx_HAS_GCC_DIAGNOSTIC
#endif

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value);

/* FormatTypeName.proto */
#if CYTHON_COMPILING_IN_LIMITED_API
typedef PyObject *__Pyx_TypeName;
#define __Pyx_FMT_TYPENAME "%U"
static __Pyx_TypeName __Pyx_PyType_GetName(PyTypeObject* tp);
#define __Pyx_DECREF_TypeName(obj) Py_XDECREF(obj)
#else
typedef const char *__Pyx_TypeName;
#define __Pyx_FMT_TYPENAME "%.200s"
#define __Pyx_PyType_GetName(tp) ((tp)->tp_name)
#define __Pyx_DECREF_TypeName(obj)
#endif

/* CIntFromPy.proto */
static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *);

/* CIntFromPy.proto */
static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *);

/* CheckBinaryVersion.proto */
static unsigned long __Pyx_get_runtime_version(void);
static int __Pyx_check_binary_version(unsigned long ct_version, unsigned long rt_version, int allow_newer);

/* InitStrings.proto */
static int __Pyx_InitStrings(__Pyx_StringTabEntry *t);

/* #### Code section: module_declarations ### */

/* Module declarations from "cython" */

/* Module declarations from "fontTools.misc.bezierTools" */
static CYTHON_INLINE double __pyx_f_9fontTools_4misc_11bezierTools__dot(__pyx_t_double_complex, __pyx_t_double_complex); /*proto*/
static CYTHON_INLINE double __pyx_f_9fontTools_4misc_11bezierTools__intSecAtan(double); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_9fontTools_4misc_11bezierTools_calcCubicParametersC(__pyx_t_double_complex, __pyx_t_double_complex, __pyx_t_double_complex, __pyx_t_double_complex); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_9fontTools_4misc_11bezierTools_calcCubicPointsC(__pyx_t_double_complex, __pyx_t_double_complex, __pyx_t_double_complex, __pyx_t_double_complex); /*proto*/
/* #### Code section: typeinfo ### */
/* #### Code section: before_global_var ### */
#define __Pyx_MODULE_NAME "fontTools.misc.bezierTools"
extern int __pyx_module_is_main_fontTools__misc__bezierTools;
int __pyx_module_is_main_fontTools__misc__bezierTools = 0;

/* Implementation of "fontTools.misc.bezierTools" */
/* #### Code section: global_var ### */
static PyObject *__pyx_builtin_AttributeError;
static PyObject *__pyx_builtin_ImportError;
static PyObject *__pyx_builtin_range;
static PyObject *__pyx_builtin_round;
static PyObject *__pyx_builtin_ValueError;
static PyObject *__pyx_builtin_TypeError;
static PyObject *__pyx_builtin_print;
/* #### Code section: string_decls ### */
static const char __pyx_k_Q[] = "Q";
static const char __pyx_k_R[] = "R";
static const char __pyx_k_a[] = "a";
static const char __pyx_k_b[] = "b";
static const char __pyx_k_c[] = "c";
static const char __pyx_k_d[] = "d";
static const char __pyx_k_e[] = "e";
static const char __pyx_k_g[] = "%g";
static const char __pyx_k_i[] = "i";
static const char __pyx_k_n[] = "n";
static const char __pyx_k_r[] = "r";
static const char __pyx_k_s[] = "s";
static const char __pyx_k_t[] = "t";
static const char __pyx_k_x[] = "x";
static const char __pyx_k_y[] = "y";
static const char __pyx_k_DD[] = "DD";
static const char __pyx_k_Q3[] = "Q3";
static const char __pyx_k_R2[] = "R2";
static const char __pyx_k__9[] = ", ";
static const char __pyx_k_a1[] = "a1";
static const char __pyx_k_a2[] = "a2";
static const char __pyx_k_a3[] = "a3";
static const char __pyx_k_ax[] = "ax";
static const char __pyx_k_ay[] = "ay";
static const char __pyx_k_b1[] = "b1";
static const char __pyx_k_bx[] = "bx";
static const char __pyx_k_by[] = "by";
static const char __pyx_k_c1[] = "c1";
static const char __pyx_k_cx[] = "cx";
static const char __pyx_k_cy[] = "cy";
static const char __pyx_k_d0[] = "d0";
static const char __pyx_k_d1[] = "d1";
static const char __pyx_k_dx[] = "dx";
static const char __pyx_k_dy[] = "dy";
static const char __pyx_k_e1[] = "e1";
static const char __pyx_k_e2[] = "e2";
static const char __pyx_k_ex[] = "ex";
static const char __pyx_k_ey[] = "ey";
static const char __pyx_k_gc[] = "gc";
static const char __pyx_k_it[] = "it";
static const char __pyx_k_p0[] = "p0";
static const char __pyx_k_p1[] = "p1";
static const char __pyx_k_p2[] = "p2";
static const char __pyx_k_p3[] = "p3";
static const char __pyx_k_pi[] = "pi";
static const char __pyx_k_pt[] = "pt";
static const char __pyx_k_px[] = "px";
static const char __pyx_k_py[] = "py";
static const char __pyx_k_s1[] = "s1";
static const char __pyx_k_s2[] = "s2";
static const char __pyx_k_sx[] = "sx";
static const char __pyx_k_sy[] = "sy";
static const char __pyx_k_t1[] = "t1";
static const char __pyx_k_t2[] = "t2";
static const char __pyx_k_ts[] = "ts";
static const char __pyx_k_v0[] = "v0";
static const char __pyx_k_v1[] = "v1";
static const char __pyx_k_v2[] = "v2";
static const char __pyx_k_v3[] = "v3";
static const char __pyx_k_v4[] = "v4";
static const char __pyx_k_x0[] = "x0";
static const char __pyx_k_x1[] = "x1";
static const char __pyx_k_x2[] = "x2";
static const char __pyx_k_x3[] = "x3";
static const char __pyx_k_x4[] = "x4";
static const char __pyx_k_y1[] = "y1";
static const char __pyx_k_y2[] = "y2";
static const char __pyx_k_y3[] = "y3";
static const char __pyx_k_y4[] = "y4";
static const char __pyx_k_1_t[] = "_1_t";
static const char __pyx_k_Len[] = "Len";
static const char __pyx_k__10[] = ".";
static const char __pyx_k__11[] = "*";
static const char __pyx_k__91[] = "_";
static const char __pyx_k_a1x[] = "a1x";
static const char __pyx_k_a1y[] = "a1y";
static const char __pyx_k_all[] = "__all__";
static const char __pyx_k_ax2[] = "ax2";
static const char __pyx_k_ax3[] = "ax3";
static const char __pyx_k_ay2[] = "ay2";
static const char __pyx_k_ay3[] = "ay3";
static const char __pyx_k_b1x[] = "b1x";
static const char __pyx_k_b1y[] = "b1y";
static const char __pyx_k_box[] = "box";
static const char __pyx_k_bx2[] = "bx2";
static const char __pyx_k_by2[] = "by2";
static const char __pyx_k_c11[] = "c11";
static const char __pyx_k_c12[] = "c12";
static const char __pyx_k_c1x[] = "c1x";
static const char __pyx_k_c1y[] = "c1y";
static const char __pyx_k_c21[] = "c21";
static const char __pyx_k_c22[] = "c22";
static const char __pyx_k_cos[] = "cos";
static const char __pyx_k_d1x[] = "d1x";
static const char __pyx_k_d1y[] = "d1y";
static const char __pyx_k_e1x[] = "e1x";
static const char __pyx_k_e1y[] = "e1y";
static const char __pyx_k_e2x[] = "e2x";
static const char __pyx_k_e2y[] = "e2y";
static const char __pyx_k_end[] = "end";
static const char __pyx_k_key[] = "key";
static const char __pyx_k_mid[] = "mid";
static const char __pyx_k_obj[] = "obj";
static const char __pyx_k_one[] = "one";
static const char __pyx_k_pt1[] = "pt1";
static const char __pyx_k_pt2[] = "pt2";
static const char __pyx_k_pt3[] = "pt3";
static const char __pyx_k_pt4[] = "pt4";
static const char __pyx_k_rDD[] = "rDD";
static const char __pyx_k_rQ2[] = "rQ2";
static const char __pyx_k_s1x[] = "s1x";
static const char __pyx_k_s1y[] = "s1y";
static const char __pyx_k_s2x[] = "s2x";
static const char __pyx_k_s2y[] = "s2y";
static const char __pyx_k_s_2[] = "(%s)";
static const char __pyx_k_seg[] = "seg";
static const char __pyx_k_sys[] = "sys";
static const char __pyx_k_two[] = "two";
static const char __pyx_k__105[] = "?";
static const char __pyx_k_a1_3[] = "a1_3";
static const char __pyx_k_acos[] = "acos";
static const char __pyx_k_arch[] = "arch";
static const char __pyx_k_args[] = "args";
static const char __pyx_k_exit[] = "exit";
static const char __pyx_k_line[] = "line";
static const char __pyx_k_main[] = "__main__";
static const char __pyx_k_math[] = "math";
static const char __pyx_k_mult[] = "mult";
static const char __pyx_k_name[] = "__name__";
static const char __pyx_k_off1[] = "off1";
static const char __pyx_k_off2[] = "off2";
static const char __pyx_k_pt1x[] = "pt1x";
static const char __pyx_k_pt1y[] = "pt1y";
static const char __pyx_k_pt2x[] = "pt2x";
static const char __pyx_k_pt2y[] = "pt2y";
static const char __pyx_k_seen[] = "seen";
static const char __pyx_k_seg1[] = "seg1";
static const char __pyx_k_seg2[] = "seg2";
static const char __pyx_k_send[] = "send";
static const char __pyx_k_spec[] = "__spec__";
static const char __pyx_k_sqrt[] = "sqrt";
static const char __pyx_k_t1_2[] = "t1_2";
static const char __pyx_k_t1_3[] = "t1_3";
static const char __pyx_k_test[] = "__test__";
static const char __pyx_k_1_t_2[] = "_1_t_2";
static const char __pyx_k_R2_Q3[] = "R2_Q3";
static const char __pyx_k_angle[] = "angle";
static const char __pyx_k_asinh[] = "asinh";
static const char __pyx_k_atan2[] = "atan2";
static const char __pyx_k_close[] = "close";
static const char __pyx_k_curve[] = "curve";
static const char __pyx_k_delta[] = "delta";
static const char __pyx_k_found[] = "found";
static const char __pyx_k_line1[] = "line1";
static const char __pyx_k_line2[] = "line2";
static const char __pyx_k_midPt[] = "midPt";
static const char __pyx_k_print[] = "print";
static const char __pyx_k_range[] = "range";
static const char __pyx_k_roots[] = "roots";
static const char __pyx_k_round[] = "round";
static const char __pyx_k_scale[] = "scale";
static const char __pyx_k_start[] = "start";
static const char __pyx_k_theta[] = "theta";
static const char __pyx_k_throw[] = "throw";
static const char __pyx_k_where[] = "where";
static const char __pyx_k_xDiff[] = "xDiff";
static const char __pyx_k_yDiff[] = "yDiff";
static const char __pyx_k_append[] = "append";
static const char __pyx_k_curve1[] = "curve1";
static const char __pyx_k_curve2[] = "curve2";
static const char __pyx_k_cython[] = "cython";
static const char __pyx_k_deriv3[] = "deriv3";
static const char __pyx_k_enable[] = "enable";
static const char __pyx_k_failed[] = "failed";
static const char __pyx_k_import[] = "__import__";
static const char __pyx_k_insert[] = "insert";
static const char __pyx_k_line_t[] = "line_t";
static const char __pyx_k_origin[] = "origin";
static const char __pyx_k_points[] = "points";
static const char __pyx_k_range1[] = "range1";
static const char __pyx_k_range2[] = "range2";
static const char __pyx_k_rotate[] = "rotate";
static const char __pyx_k_xRoots[] = "xRoots";
static const char __pyx_k_yRoots[] = "yRoots";
static const char __pyx_k_2_t_1_t[] = "_2_t_1_t";
static const char __pyx_k_bounds1[] = "bounds1";
static const char __pyx_k_bounds2[] = "bounds2";
static const char __pyx_k_delta_2[] = "delta_2";
static const char __pyx_k_delta_3[] = "delta_3";
static const char __pyx_k_disable[] = "disable";
static const char __pyx_k_doctest[] = "doctest";
static const char __pyx_k_epsilon[] = "epsilon";
static const char __pyx_k_genexpr[] = "genexpr";
static const char __pyx_k_isclose[] = "isclose";
static const char __pyx_k_segment[] = "segment";
static const char __pyx_k_slope12[] = "slope12";
static const char __pyx_k_slope34[] = "slope34";
static const char __pyx_k_swapped[] = "swapped";
static const char __pyx_k_testmod[] = "testmod";
static const char __pyx_k_COMPILED[] = "COMPILED";
static const char __pyx_k_Identity[] = "Identity";
static const char __pyx_k_midpoint[] = "midpoint";
static const char __pyx_k_origDist[] = "origDist";
static const char __pyx_k_pointAtT[] = "pointAtT";
static const char __pyx_k_rectArea[] = "rectArea";
static const char __pyx_k_sectRect[] = "sectRect";
static const char __pyx_k_segments[] = "segments";
static const char __pyx_k_TypeError[] = "TypeError";
static const char __pyx_k_c11_range[] = "c11_range";
static const char __pyx_k_c12_range[] = "c12_range";
static const char __pyx_k_c21_range[] = "c21_range";
static const char __pyx_k_c22_range[] = "c22_range";
static const char __pyx_k_isenabled[] = "isenabled";
static const char __pyx_k_maybeline[] = "maybeline";
static const char __pyx_k_precision[] = "precision";
static const char __pyx_k_solutions[] = "solutions";
static const char __pyx_k_splitLine[] = "splitLine";
static const char __pyx_k_tolerance[] = "tolerance";
static const char __pyx_k_translate[] = "translate";
static const char __pyx_k_ValueError[] = "ValueError";
static const char __pyx_k_calcBounds[] = "calcBounds";
static const char __pyx_k_intersects[] = "intersects";
static const char __pyx_k_namedtuple[] = "namedtuple";
static const char __pyx_k_solveCubic[] = "solveCubic";
static const char __pyx_k_splitCubic[] = "splitCubic";
static const char __pyx_k_unique_key[] = "unique_key";
static const char __pyx_k_ImportError[] = "ImportError";
static const char __pyx_k_collections[] = "collections";
static const char __pyx_k_is_linelike[] = "_is_linelike";
static const char __pyx_k_pointFinder[] = "pointFinder";
static const char __pyx_k_segmentrepr[] = "_segmentrepr";
static const char __pyx_k_Intersection[] = "Intersection";
static const char __pyx_k_curve_bounds[] = "_curve_bounds";
static const char __pyx_k_initializing[] = "_initializing";
static const char __pyx_k_isHorizontal[] = "isHorizontal";
static const char __pyx_k_is_coroutine[] = "_is_coroutine";
static const char __pyx_k_linePointAtT[] = "linePointAtT";
static const char __pyx_k_line_t_of_pt[] = "_line_t_of_pt";
static const char __pyx_k_aligned_curve[] = "aligned_curve";
static const char __pyx_k_class_getitem[] = "__class_getitem__";
static const char __pyx_k_cubicPointAtT[] = "cubicPointAtT";
static const char __pyx_k_epsilonDigits[] = "epsilonDigits";
static const char __pyx_k_intersections[] = "intersections";
static const char __pyx_k_printSegments[] = "printSegments";
static const char __pyx_k_splitCubicAtT[] = "_splitCubicAtT";
static const char __pyx_k_unique_values[] = "unique_values";
static const char __pyx_k_AttributeError[] = "AttributeError";
static const char __pyx_k_cubicPointAtTC[] = "cubicPointAtTC";
static const char __pyx_k_fontTools_misc[] = "fontTools.misc";
static const char __pyx_k_solveQuadratic[] = "solveQuadratic";
static const char __pyx_k_splitCubicAtTC[] = "splitCubicAtTC";
static const char __pyx_k_splitQuadratic[] = "splitQuadratic";
static const char __pyx_k_calcCubicBounds[] = "calcCubicBounds";
static const char __pyx_k_calcCubicPoints[] = "calcCubicPoints";
static const char __pyx_k_intersection_ts[] = "intersection_ts";
static const char __pyx_k_segmentPointAtT[] = "segmentPointAtT";
static const char __pyx_k_splitCubicAtT_2[] = "splitCubicAtT";
static const char __pyx_k_transformPoints[] = "transformPoints";
static const char __pyx_k_splitCubicAtTC_2[] = "_splitCubicAtTC";
static const char __pyx_k_quadraticPointAtT[] = "quadraticPointAtT";
static const char __pyx_k_splitQuadraticAtT[] = "_splitQuadraticAtT";
static const char __pyx_k_asyncio_coroutines[] = "asyncio.coroutines";
static const char __pyx_k_calcCubicArcLength[] = "calcCubicArcLength";
static const char __pyx_k_cline_in_traceback[] = "cline_in_traceback";
static const char __pyx_k_splitLine_line_450[] = "splitLine (line 450)";
static const char __pyx_k_split_segment_at_t[] = "_split_segment_at_t";
static const char __pyx_k_calcCubicArcLengthC[] = "calcCubicArcLengthC";
static const char __pyx_k_calcCubicParameters[] = "calcCubicParameters";
static const char __pyx_k_calcQuadraticBounds[] = "calcQuadraticBounds";
static const char __pyx_k_calcQuadraticPoints[] = "calcQuadraticPoints";
static const char __pyx_k_solveCubic_line_841[] = "solveCubic (line 841)";
static const char __pyx_k_splitCubic_line_552[] = "splitCubic (line 552)";
static const char __pyx_k_splitQuadraticAtT_2[] = "splitQuadraticAtT";
static const char __pyx_k_Unknown_curve_degree[] = "Unknown curve degree";
static const char __pyx_k_split_cubic_into_two[] = "_split_cubic_into_two";
static const char __pyx_k_lineLineIntersections[] = "lineLineIntersections";
static const char __pyx_k_segmentrepr_line_1465[] = "_segmentrepr (line 1465)";
static const char __pyx_k_splitCubicIntoTwoAtTC[] = "splitCubicIntoTwoAtTC";
static const char __pyx_k_calcQuadraticArcLength[] = "calcQuadraticArcLength";
static const char __pyx_k_curveLineIntersections[] = "curveLineIntersections";
static const char __pyx_k_splitCubicAtT_line_613[] = "splitCubicAtT (line 613)";
static const char __pyx_k_calcQuadraticArcLengthC[] = "calcQuadraticArcLengthC";
static const char __pyx_k_calcQuadraticParameters[] = "calcQuadraticParameters";
static const char __pyx_k_curveCurveIntersections[] = "curveCurveIntersections";
static const char __pyx_k_splitQuadratic_line_507[] = "splitQuadratic (line 507)";
static const char __pyx_k_alignment_transformation[] = "_alignment_transformation";
static const char __pyx_k_calcCubicBounds_line_412[] = "calcCubicBounds (line 412)";
static const char __pyx_k_fontTools_misc_transform[] = "fontTools.misc.transform";
static const char __pyx_k_approximateCubicArcLength[] = "approximateCubicArcLength";
static const char __pyx_k_fontTools_misc_arrayTools[] = "fontTools.misc.arrayTools";
static const char __pyx_k_splitCubic_locals_genexpr[] = "splitCubic.<locals>.genexpr";
static const char __pyx_k_approximateCubicArcLengthC[] = "approximateCubicArcLengthC";
static const char __pyx_k_calcCubicArcLengthCRecurse[] = "_calcCubicArcLengthCRecurse";
static const char __pyx_k_curve_line_intersections_t[] = "_curve_line_intersections_t";
static const char __pyx_k_fontTools_misc_bezierTools[] = "fontTools.misc.bezierTools";
static const char __pyx_k_is_linelike_locals_genexpr[] = "_is_linelike.<locals>.genexpr";
static const char __pyx_k_segmentrepr_locals_genexpr[] = "_segmentrepr.<locals>.genexpr";
static const char __pyx_k_splitQuadraticAtT_line_589[] = "splitQuadraticAtT (line 589)";
static const char __pyx_k_curve_curve_intersections_t[] = "_curve_curve_intersections_t";
static const char __pyx_k_segmentSegmentIntersections[] = "segmentSegmentIntersections";
static const char __pyx_k_calcQuadraticBounds_line_298[] = "calcQuadraticBounds (line 298)";
static const char __pyx_k_approximateQuadraticArcLength[] = "approximateQuadraticArcLength";
static const char __pyx_k_segmentrepr_1_2_3_2_3_4_0_1_2[] = "\n    >>> _segmentrepr([1, [2, 3], [], [[2, [3, 4], [0.1, 2.2]]]])\n    '(1, (2, 3), (), ((2, (3, 4), (0.1, 2.2))))'\n    ";
static const char __pyx_k_splitQuadratic_locals_genexpr[] = "splitQuadratic.<locals>.genexpr";
static const char __pyx_k_approximateQuadraticArcLengthC[] = "approximateQuadraticArcLengthC";
static const char __pyx_k_Approximates_the_arc_length_for[] = "Approximates the arc length for a cubic Bezier segment.\n\n    Uses Gauss-Lobatto quadrature with n=5 points to approximate arc length.\n    See :func:`calcCubicArcLength` for a slower but more accurate result.\n\n    Args:\n        pt1,pt2,pt3,pt4: Control points of the Bezier as 2D tuples.\n\n    Returns:\n        Arc length value.\n\n    Example::\n\n        >>> approximateCubicArcLength((0, 0), (25, 100), (75, 100), (100, 0))\n        190.04332968932817\n        >>> approximateCubicArcLength((0, 0), (50, 0), (100, 50), (100, 100))\n        154.8852074945903\n        >>> approximateCubicArcLength((0, 0), (50, 0), (100, 0), (150, 0)) # line; exact result should be 150.\n        149.99999999999991\n        >>> approximateCubicArcLength((0, 0), (50, 0), (100, 0), (-50, 0)) # cusp; exact result should be 150.\n        136.9267662156362\n        >>> approximateCubicArcLength((0, 0), (50, 0), (100, -50), (-50, 0)) # cusp\n        154.80848416537057\n    ";
static const char __pyx_k_Calculates_the_arc_length_for_a[] = "Calculates the arc length for a quadratic Bezier segment.\n\n    Args:\n        pt1: Start point of the Bezier as 2D tuple.\n        pt2: Handle point of the Bezier as 2D tuple.\n        pt3: End point of the Bezier as 2D tuple.\n\n    Returns:\n        Arc length value.\n\n    Example::\n\n        >>> calcQuadraticArcLength((0, 0), (0, 0), (0, 0)) # empty segment\n        0.0\n        >>> calcQuadraticArcLength((0, 0), (50, 0), (80, 0)) # collinear points\n        80.0\n        >>> calcQuadraticArcLength((0, 0), (0, 50), (0, 80)) # collinear points vertical\n        80.0\n        >>> calcQuadraticArcLength((0, 0), (50, 20), (100, 40)) # collinear points\n        107.70329614269008\n        >>> calcQuadraticArcLength((0, 0), (0, 100), (100, 0))\n        154.02976155645263\n        >>> calcQuadraticArcLength((0, 0), (0, 50), (100, 0))\n        120.21581243984076\n        >>> calcQuadraticArcLength((0, 0), (50, -10), (80, 50))\n        102.53273816445825\n        >>> calcQuadraticArcLength((0, 0), (40, 0), (-40, 0)) # collinear points, control point outside\n        66.66666666666667\n        >>> calcQuadraticArcLength((0, 0), (40, 0), (0, 0)) # collinear points, looping back\n        40.0\n    ";
static const char __pyx_k_Finds_intersections_between_two[] = "Finds intersections between two line segments.\n\n    Args:\n        s1, e1: Coordinates of the first line as 2D tuples.\n        s2, e2: Coordinates of the second line as 2D tuples.\n\n    Returns:\n        A list of ``Intersection`` objects, each object having ``pt``, ``t1``\n        and ``t2`` attributes containing the intersection point, time on first\n        segment and time on second segment respectively.\n\n    Examples::\n\n        >>> a = lineLineIntersections( (310,389), (453, 222), (289, 251), (447, 367))\n        >>> len(a)\n        1\n        >>> intersection = a[0]\n        >>> intersection.pt\n        (374.44882952482897, 313.73458370177315)\n        >>> (intersection.t1, intersection.t2)\n        (0.45069111555824465, 0.5408153767394238)\n    ";
static const char __pyx_k_Solve_a_cubic_equation_Solves_a[] = "Solve a cubic equation.\n\n    Solves *a*x*x*x + b*x*x + c*x + d = 0* where a, b, c and d are real.\n\n    Args:\n        a: coefficient of *x\302\263*\n        b: coefficient of *x\302\262*\n        c: coefficient of *x*\n        d: constant term\n\n    Returns:\n        A list of roots. Note that the returned list is neither guaranteed to\n        be sorted nor to contain unique values!\n\n    Examples::\n\n        >>> solveCubic(1, 1, -6, 0)\n        [-3.0, -0.0, 2.0]\n        >>> solveCubic(-10.0, -9.0, 48.0, -29.0)\n        [-2.9, 1.0, 1.0]\n        >>> solveCubic(-9.875, -9.0, 47.625, -28.75)\n        [-2.911392, 1.0, 1.0]\n        >>> solveCubic(1.0, -4.5, 6.75, -3.375)\n        [1.5, 1.5, 1.5]\n        >>> solveCubic(-12.0, 18.0, -9.0, 1.50023651123)\n        [0.5, 0.5, 0.5]\n        >>> solveCubic(\n        ...     9.0, 0.0, 0.0, -7.62939453125e-05\n        ... ) == [-0.0, -0.0, -0.0]\n        True\n    ";
static const char __pyx_k_Split_a_cubic_Bezier_curve_at_a[] = "Split a cubic Bezier curve at a given coordinate.\n\n    Args:\n        pt1,pt2,pt3,pt4: Control points of the Bezier as 2D tuples.\n        where: Position at which to split the curve.\n        isHorizontal: Direction of the ray splitting the curve. If true,\n            ``where`` is interpreted as a Y coordinate; if false, then\n            ``where`` is interpreted as an X coordinate.\n\n    Returns:\n        A list of two curve segments (each curve segment being four 2D tuples)\n        if the curve was successfully split, or a list containing the original\n        curve.\n\n    Example::\n\n        >>> printSegments(splitCubic((0, 0), (25, 100), (75, 100), (100, 0), 150, False))\n        ((0, 0), (25, 100), (75, 100), (100, 0))\n        >>> printSegments(splitCubic((0, 0), (25, 100), (75, 100), (100, 0), 50, False))\n        ((0, 0), (12.5, 50), (31.25, 75), (50, 75))\n        ((50, 75), (68.75, 75), (87.5, 50), (100, 0))\n        >>> printSegments(splitCubic((0, 0), (25, 100), (75, 100), (100, 0), 25, True))\n        ((0, 0), (2.29379, 9.17517), (4.79804, 17.5085), (7.47414, 25))\n        ((7.47414, 25), (31.2886, 91.6667), (68.7114, 91.6667), (92.5259, 25))\n        ((92.5259, 25), (95.202, 17.5085), (97.7062, 9.17517), (100, 1.77636e-15))\n    ";
static const char __pyx_k_both_points_are_on_same_side_of[] = "_both_points_are_on_same_side_of_origin";
static const char __pyx_k_calcQuadraticArcLength_line_151[] = "calcQuadraticArcLength (line 151)";
static const char __pyx_k_curve_curve_intersections_t_loc[] = "_curve_curve_intersections_t.<locals>.midpoint";
static const char __pyx_k_curve_line_intersections_t_loca[] = "_curve_line_intersections_t.<locals>.genexpr";
static const char __pyx_k_lineLineIntersections_line_1147[] = "lineLineIntersections (line 1147)";
static const char __pyx_k_Calculates_the_bounding_rectangl[] = "Calculates the bounding rectangle for a quadratic Bezier segment.\n\n    Args:\n        pt1: Start point of the Bezier as a 2D tuple.\n        pt2: Handle point of the Bezier as a 2D tuple.\n        pt3: End point of the Bezier as a 2D tuple.\n\n    Returns:\n        A four-item tuple representing the bounding rectangle ``(xMin, yMin, xMax, yMax)``.\n\n    Example::\n\n        >>> calcQuadraticBounds((0, 0), (50, 100), (100, 0))\n        (0, 0, 100, 50.0)\n        >>> calcQuadraticBounds((0, 0), (100, 0), (100, 100))\n        (0.0, 0.0, 100, 100)\n    ";
static const char __pyx_k_Couldn_t_work_out_which_intersec[] = "Couldn't work out which intersection function to use";
static const char __pyx_k_Finds_intersections_between_a_cu[] = "Finds intersections between a curve and a line.\n\n    Args:\n        curve: List of coordinates of the curve segment as 2D tuples.\n        line: List of coordinates of the line segment as 2D tuples.\n\n    Returns:\n        A list of ``Intersection`` objects, each object having ``pt``, ``t1``\n        and ``t2`` attributes containing the intersection point, time on first\n        segment and time on second segment respectively.\n\n    Examples::\n        >>> curve = [ (100, 240), (30, 60), (210, 230), (160, 30) ]\n        >>> line  = [ (25, 260), (230, 20) ]\n        >>> intersections = curveLineIntersections(curve, line)\n        >>> len(intersections)\n        3\n        >>> intersections[0].pt\n        (84.9000930760723, 189.87306176459828)\n    ";
static const char __pyx_k_Lib_fontTools_misc_bezierTools_p[] = "Lib\\fontTools\\misc\\bezierTools.py";
static const char __pyx_k_Split_a_cubic_Bezier_curve_at_on[] = "Split a cubic Bezier curve at one or more values of t.\n\n    Args:\n        pt1,pt2,pt3,pt4: Control points of the Bezier as 2D tuples.\n        *ts: Positions at which to split the curve.\n\n    Returns:\n        A list of curve segments (each curve segment being four 2D tuples).\n\n    Examples::\n\n        >>> printSegments(splitCubicAtT((0, 0), (25, 100), (75, 100), (100, 0), 0.5))\n        ((0, 0), (12.5, 50), (31.25, 75), (50, 75))\n        ((50, 75), (68.75, 75), (87.5, 50), (100, 0))\n        >>> printSegments(splitCubicAtT((0, 0), (25, 100), (75, 100), (100, 0), 0.5, 0.75))\n        ((0, 0), (12.5, 50), (31.25, 75), (50, 75))\n        ((50, 75), (59.375, 75), (68.75, 68.75), (77.3438, 56.25))\n        ((77.3438, 56.25), (85.9375, 43.75), (93.75, 25), (100, 0))\n    ";
static const char __pyx_k_Split_a_line_at_a_given_coordina[] = "Split a line at a given coordinate.\n\n    Args:\n        pt1: Start point of line as 2D tuple.\n        pt2: End point of line as 2D tuple.\n        where: Position at which to split the line.\n        isHorizontal: Direction of the ray splitting the line. If true,\n            ``where`` is interpreted as a Y coordinate; if false, then\n            ``where`` is interpreted as an X coordinate.\n\n    Returns:\n        A list of two line segments (each line segment being two 2D tuples)\n        if the line was successfully split, or a list containing the original\n        line.\n\n    Example::\n\n        >>> printSegments(splitLine((0, 0), (100, 100), 50, True))\n        ((0, 0), (50, 50))\n        ((50, 50), (100, 100))\n        >>> printSegments(splitLine((0, 0), (100, 100), 100, True))\n        ((0, 0), (100, 100))\n        >>> printSegments(splitLine((0, 0), (100, 100), 0, True))\n        ((0, 0), (0, 0))\n        ((0, 0), (100, 100))\n        >>> printSegments(splitLine((0, 0), (100, 100), 0, False))\n        ((0, 0), (0, 0))\n        ((0, 0), (100, 100))\n        >>> printSegments(splitLine((100, 0), (0, 0), 50, False))\n        ((100, 0), (50, 0))\n        ((50, 0), (0, 0))\n        >>> printSegments(splitLine((0, 100), (0, 0), 50, True))\n        ((0, 100), (0, 50))\n        ((0, 50), (0, 0))\n    ";
static const char __pyx_k_Split_a_quadratic_Bezier_curve_a[] = "Split a quadratic Bezier curve at a given coordinate.\n\n    Args:\n        pt1,pt2,pt3: Control points of the Bezier as 2D tuples.\n        where: Position at which to split the curve.\n        isHorizontal: Direction of the ray splitting the curve. If true,\n            ``where`` is interpreted as a Y coordinate; if false, then\n            ``where`` is interpreted as an X coordinate.\n\n    Returns:\n        A list of two curve segments (each curve segment being three 2D tuples)\n        if the curve was successfully split, or a list containing the original\n        curve.\n\n    Example::\n\n        >>> printSegments(splitQuadratic((0, 0), (50, 100), (100, 0), 150, False))\n        ((0, 0), (50, 100), (100, 0))\n        >>> printSegments(splitQuadratic((0, 0), (50, 100), (100, 0), 50, False))\n        ((0, 0), (25, 50), (50, 50))\n        ((50, 50), (75, 50), (100, 0))\n        >>> printSegments(splitQuadratic((0, 0), (50, 100), (100, 0), 25, False))\n        ((0, 0), (12.5, 25), (25, 37.5))\n        ((25, 37.5), (62.5, 75), (100, 0))\n        >>> printSegments(splitQuadratic((0, 0), (50, 100), (100, 0), 25, True))\n        ((0, 0), (7.32233, 14.6447), (14.6447, 25))\n        ((14.6447, 25), (50, 75), (85.3553, 25))\n        ((85.3553, 25), (92.6777, 14.6447), (100, -7.10543e-15))\n        >>> # XXX I'm not at all sure if the following behavior is desirable:\n        >>> printSegments(splitQuadratic((0, 0), (50, 100), (100, 0), 50, True))\n        ((0, 0), (25, 50), (50, 50))\n        ((50, 50), (50, 50), (50, 50))\n        ((50, 50), (75, 50), (100, 0))\n    ";
static const char __pyx_k_approximateCubicArcLength_line_3[] = "approximateCubicArcLength (line 332)";
static const char __pyx_k_curveCurveIntersections_line_137[] = "curveCurveIntersections (line 1378)";
static const char __pyx_k_curveLineIntersections_line_1248[] = "curveLineIntersections (line 1248)";
static const char __pyx_k_fontTools_misc_bezierTools_py_to[] = "fontTools.misc.bezierTools.py -- tools for working with Bezier path segments.\n";
static const char __pyx_k_segmentSegmentIntersections_line[] = "segmentSegmentIntersections (line 1417)";
static const char __pyx_k_Finds_intersections_between_two_2[] = "Finds intersections between two segments.\n\n    Args:\n        seg1: List of coordinates of the first segment as 2D tuples.\n        seg2: List of coordinates of the second segment as 2D tuples.\n\n    Returns:\n        A list of ``Intersection`` objects, each object having ``pt``, ``t1``\n        and ``t2`` attributes containing the intersection point, time on first\n        segment and time on second segment respectively.\n\n    Examples::\n        >>> curve1 = [ (10,100), (90,30), (40,140), (220,220) ]\n        >>> curve2 = [ (5,150), (180,20), (80,250), (210,190) ]\n        >>> intersections = segmentSegmentIntersections(curve1, curve2)\n        >>> len(intersections)\n        3\n        >>> intersections[0].pt\n        (81.7831487395506, 109.88904552375288)\n        >>> curve3 = [ (100, 240), (30, 60), (210, 230), (160, 30) ]\n        >>> line  = [ (25, 260), (230, 20) ]\n        >>> intersections = segmentSegmentIntersections(curve3, line)\n        >>> len(intersections)\n        3\n        >>> intersections[0].pt\n        (84.9000930760723, 189.87306176459828)\n\n    ";
static const char __pyx_k_curve_curve_intersections_t_loc_2[] = "_curve_curve_intersections_t.<locals>.<lambda>";
static const char __pyx_k_Calculates_the_bounding_rectangl_2[] = "Calculates the bounding rectangle for a quadratic Bezier segment.\n\n    Args:\n        pt1,pt2,pt3,pt4: Control points of the Bezier as 2D tuples.\n\n    Returns:\n        A four-item tuple representing the bounding rectangle ``(xMin, yMin, xMax, yMax)``.\n\n    Example::\n\n        >>> calcCubicBounds((0, 0), (25, 100), (75, 100), (100, 0))\n        (0, 0, 100, 75.0)\n        >>> calcCubicBounds((0, 0), (50, 0), (100, 50), (100, 100))\n        (0.0, 0.0, 100, 100)\n        >>> print(\"%f %f %f %f\" % calcCubicBounds((50, 0), (0, 100), (100, 100), (50, 0)))\n        35.566243 0.000000 64.433757 75.000000\n    ";
static const char __pyx_k_Finds_intersections_between_a_cu_2[] = "Finds intersections between a curve and a curve.\n\n    Args:\n        curve1: List of coordinates of the first curve segment as 2D tuples.\n        curve2: List of coordinates of the second curve segment as 2D tuples.\n\n    Returns:\n        A list of ``Intersection`` objects, each object having ``pt``, ``t1``\n        and ``t2`` attributes containing the intersection point, time on first\n        segment and time on second segment respectively.\n\n    Examples::\n        >>> curve1 = [ (10,100), (90,30), (40,140), (220,220) ]\n        >>> curve2 = [ (5,150), (180,20), (80,250), (210,190) ]\n        >>> intersections = curveCurveIntersections(curve1, curve2)\n        >>> len(intersections)\n        3\n        >>> intersections[0].pt\n        (81.7831487395506, 109.88904552375288)\n    ";
static const char __pyx_k_Split_a_quadratic_Bezier_curve_a_2[] = "Split a quadratic Bezier curve at one or more values of t.\n\n    Args:\n        pt1,pt2,pt3: Control points of the Bezier as 2D tuples.\n        *ts: Positions at which to split the curve.\n\n    Returns:\n        A list of curve segments (each curve segment being three 2D tuples).\n\n    Examples::\n\n        >>> printSegments(splitQuadraticAtT((0, 0), (50, 100), (100, 0), 0.5))\n        ((0, 0), (25, 50), (50, 50))\n        ((50, 50), (75, 50), (100, 0))\n        >>> printSegments(splitQuadraticAtT((0, 0), (50, 100), (100, 0), 0.5, 0.75))\n        ((0, 0), (25, 50), (50, 50))\n        ((50, 50), (62.5, 50), (75, 37.5))\n        ((75, 37.5), (87.5, 25), (100, 0))\n    ";
/* #### Code section: decls ### */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_calcCubicArcLength(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_pt4, PyObject *__pyx_v_tolerance); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_2_split_cubic_into_two(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_p0, PyObject *__pyx_v_p1, PyObject *__pyx_v_p2, PyObject *__pyx_v_p3); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_4_calcCubicArcLengthCRecurse(CYTHON_UNUSED PyObject *__pyx_self, double __pyx_v_mult, __pyx_t_double_complex __pyx_v_p0, __pyx_t_double_complex __pyx_v_p1, __pyx_t_double_complex __pyx_v_p2, __pyx_t_double_complex __pyx_v_p3); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_6calcCubicArcLengthC(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_double_complex __pyx_v_pt1, __pyx_t_double_complex __pyx_v_pt2, __pyx_t_double_complex __pyx_v_pt3, __pyx_t_double_complex __pyx_v_pt4, double __pyx_v_tolerance); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_8calcQuadraticArcLength(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_10calcQuadraticArcLengthC(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_double_complex __pyx_v_pt1, __pyx_t_double_complex __pyx_v_pt2, __pyx_t_double_complex __pyx_v_pt3); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_12approximateQuadraticArcLength(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_14approximateQuadraticArcLengthC(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_double_complex __pyx_v_pt1, __pyx_t_double_complex __pyx_v_pt2, __pyx_t_double_complex __pyx_v_pt3); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_16calcQuadraticBounds(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_18approximateCubicArcLength(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_pt4); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_20approximateCubicArcLengthC(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_double_complex __pyx_v_pt1, __pyx_t_double_complex __pyx_v_pt2, __pyx_t_double_complex __pyx_v_pt3, __pyx_t_double_complex __pyx_v_pt4); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_22calcCubicBounds(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_pt4); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_24splitLine(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_where, PyObject *__pyx_v_isHorizontal); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_14splitQuadratic_genexpr(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_genexpr_arg_0); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_26splitQuadratic(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_where, PyObject *__pyx_v_isHorizontal); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_10splitCubic_genexpr(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_genexpr_arg_0); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_28splitCubic(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_pt4, PyObject *__pyx_v_where, PyObject *__pyx_v_isHorizontal); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_30splitQuadraticAtT(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_ts); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_32splitCubicAtT(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_pt4, PyObject *__pyx_v_ts); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_34splitCubicAtTC(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_double_complex __pyx_v_pt1, __pyx_t_double_complex __pyx_v_pt2, __pyx_t_double_complex __pyx_v_pt3, __pyx_t_double_complex __pyx_v_pt4, PyObject *__pyx_v_ts); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_37splitCubicIntoTwoAtTC(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_double_complex __pyx_v_pt1, __pyx_t_double_complex __pyx_v_pt2, __pyx_t_double_complex __pyx_v_pt3, __pyx_t_double_complex __pyx_v_pt4, double __pyx_v_t); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_39_splitQuadraticAtT(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_a, PyObject *__pyx_v_b, PyObject *__pyx_v_c, PyObject *__pyx_v_ts); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_41_splitCubicAtT(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_a, PyObject *__pyx_v_b, PyObject *__pyx_v_c, PyObject *__pyx_v_d, PyObject *__pyx_v_ts); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_43_splitCubicAtTC(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_double_complex __pyx_v_a, __pyx_t_double_complex __pyx_v_b, __pyx_t_double_complex __pyx_v_c, __pyx_t_double_complex __pyx_v_d, PyObject *__pyx_v_ts); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_96__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_46solveQuadratic(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_a, PyObject *__pyx_v_b, PyObject *__pyx_v_c, PyObject *__pyx_v_sqrt); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_48solveCubic(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_a, PyObject *__pyx_v_b, PyObject *__pyx_v_c, PyObject *__pyx_v_d); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_50calcQuadraticParameters(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_52calcCubicParameters(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_pt4); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_54calcQuadraticPoints(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_a, PyObject *__pyx_v_b, PyObject *__pyx_v_c); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_56calcCubicPoints(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_a, PyObject *__pyx_v_b, PyObject *__pyx_v_c, PyObject *__pyx_v_d); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_58linePointAtT(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_t); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_60quadraticPointAtT(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_t); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_62cubicPointAtT(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_pt4, PyObject *__pyx_v_t); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_64cubicPointAtTC(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_double_complex __pyx_v_pt1, __pyx_t_double_complex __pyx_v_pt2, __pyx_t_double_complex __pyx_v_pt3, __pyx_t_double_complex __pyx_v_pt4, double __pyx_v_t); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_66segmentPointAtT(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_seg, PyObject *__pyx_v_t); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_68_line_t_of_pt(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_s, PyObject *__pyx_v_e, PyObject *__pyx_v_pt); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_70_both_points_are_on_same_side_of_origin(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_a, PyObject *__pyx_v_b, PyObject *__pyx_v_origin); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_72lineLineIntersections(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_s1, PyObject *__pyx_v_e1, PyObject *__pyx_v_s2, PyObject *__pyx_v_e2); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_74_alignment_transformation(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_segment); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_27_curve_line_intersections_t_genexpr(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_genexpr_arg_0); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_76_curve_line_intersections_t(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_curve, PyObject *__pyx_v_line); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_78curveLineIntersections(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_curve, PyObject *__pyx_v_line); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_80_curve_bounds(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_c); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_82_split_segment_at_t(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_c, PyObject *__pyx_v_t); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_midpoint(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_r); /* proto */
static PyObject *__pyx_lambda_funcdef_lambda3(PyObject *__pyx_self, PyObject *__pyx_v_ts); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_84_curve_curve_intersections_t(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_curve1, PyObject *__pyx_v_curve2, PyObject *__pyx_v_precision, PyObject *__pyx_v_range1, PyObject *__pyx_v_range2); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_12_is_linelike_genexpr(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_genexpr_arg_0); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_86_is_linelike(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_segment); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_88curveCurveIntersections(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_curve1, PyObject *__pyx_v_curve2); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_90segmentSegmentIntersections(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_seg1, PyObject *__pyx_v_seg2); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_12_segmentrepr_genexpr(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_genexpr_arg_0); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_92_segmentrepr(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_94printSegments(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_segments); /* proto */
static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
/* #### Code section: late_includes ### */
/* #### Code section: module_state ### */
typedef struct {
  PyObject *__pyx_d;
  PyObject *__pyx_b;
  PyObject *__pyx_cython_runtime;
  PyObject *__pyx_empty_tuple;
  PyObject *__pyx_empty_bytes;
  PyObject *__pyx_empty_unicode;
  #ifdef __Pyx_CyFunction_USED
  PyTypeObject *__pyx_CyFunctionType;
  #endif
  #ifdef __Pyx_FusedFunction_USED
  PyTypeObject *__pyx_FusedFunctionType;
  #endif
  #ifdef __Pyx_Generator_USED
  PyTypeObject *__pyx_GeneratorType;
  #endif
  #ifdef __Pyx_IterableCoroutine_USED
  PyTypeObject *__pyx_IterableCoroutineType;
  #endif
  #ifdef __Pyx_Coroutine_USED
  PyTypeObject *__pyx_CoroutineAwaitType;
  #endif
  #ifdef __Pyx_Coroutine_USED
  PyTypeObject *__pyx_CoroutineType;
  #endif
  #if CYTHON_USE_MODULE_STATE
  #endif
  #if CYTHON_USE_MODULE_STATE
  PyObject *__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr;
  PyObject *__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr;
  PyObject *__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC;
  PyObject *__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC;
  PyObject *__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr;
  PyObject *__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t;
  PyObject *__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr;
  PyObject *__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr;
  #endif
  PyTypeObject *__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr;
  PyTypeObject *__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr;
  PyTypeObject *__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC;
  PyTypeObject *__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC;
  PyTypeObject *__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr;
  PyTypeObject *__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t;
  PyTypeObject *__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr;
  PyTypeObject *__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr;
  PyObject *__pyx_n_s_1_t;
  PyObject *__pyx_n_s_1_t_2;
  PyObject *__pyx_n_s_2_t_1_t;
  PyObject *__pyx_kp_u_Approximates_the_arc_length_for;
  PyObject *__pyx_n_s_AttributeError;
  PyObject *__pyx_n_s_COMPILED;
  PyObject *__pyx_kp_u_Calculates_the_arc_length_for_a;
  PyObject *__pyx_kp_u_Calculates_the_bounding_rectangl;
  PyObject *__pyx_kp_u_Calculates_the_bounding_rectangl_2;
  PyObject *__pyx_kp_u_Couldn_t_work_out_which_intersec;
  PyObject *__pyx_n_s_DD;
  PyObject *__pyx_kp_u_Finds_intersections_between_a_cu;
  PyObject *__pyx_kp_u_Finds_intersections_between_a_cu_2;
  PyObject *__pyx_kp_u_Finds_intersections_between_two;
  PyObject *__pyx_kp_u_Finds_intersections_between_two_2;
  PyObject *__pyx_n_s_Identity;
  PyObject *__pyx_n_s_ImportError;
  PyObject *__pyx_n_s_Intersection;
  PyObject *__pyx_n_u_Intersection;
  PyObject *__pyx_n_s_Len;
  PyObject *__pyx_kp_s_Lib_fontTools_misc_bezierTools_p;
  PyObject *__pyx_n_s_Q;
  PyObject *__pyx_n_s_Q3;
  PyObject *__pyx_n_s_R;
  PyObject *__pyx_n_s_R2;
  PyObject *__pyx_n_s_R2_Q3;
  PyObject *__pyx_kp_u_Solve_a_cubic_equation_Solves_a;
  PyObject *__pyx_kp_u_Split_a_cubic_Bezier_curve_at_a;
  PyObject *__pyx_kp_u_Split_a_cubic_Bezier_curve_at_on;
  PyObject *__pyx_kp_u_Split_a_line_at_a_given_coordina;
  PyObject *__pyx_kp_u_Split_a_quadratic_Bezier_curve_a;
  PyObject *__pyx_kp_u_Split_a_quadratic_Bezier_curve_a_2;
  PyObject *__pyx_n_s_TypeError;
  PyObject *__pyx_kp_u_Unknown_curve_degree;
  PyObject *__pyx_n_s_ValueError;
  PyObject *__pyx_kp_u__10;
  PyObject *__pyx_n_s__105;
  PyObject *__pyx_n_s__11;
  PyObject *__pyx_kp_u__9;
  PyObject *__pyx_n_s__91;
  PyObject *__pyx_n_s_a;
  PyObject *__pyx_n_s_a1;
  PyObject *__pyx_n_s_a1_3;
  PyObject *__pyx_n_s_a1x;
  PyObject *__pyx_n_s_a1y;
  PyObject *__pyx_n_s_a2;
  PyObject *__pyx_n_s_a3;
  PyObject *__pyx_n_s_acos;
  PyObject *__pyx_n_s_aligned_curve;
  PyObject *__pyx_n_s_alignment_transformation;
  PyObject *__pyx_n_s_all;
  PyObject *__pyx_n_s_angle;
  PyObject *__pyx_n_s_append;
  PyObject *__pyx_n_s_approximateCubicArcLength;
  PyObject *__pyx_n_u_approximateCubicArcLength;
  PyObject *__pyx_n_s_approximateCubicArcLengthC;
  PyObject *__pyx_n_u_approximateCubicArcLengthC;
  PyObject *__pyx_kp_u_approximateCubicArcLength_line_3;
  PyObject *__pyx_n_s_approximateQuadraticArcLength;
  PyObject *__pyx_n_u_approximateQuadraticArcLength;
  PyObject *__pyx_n_s_approximateQuadraticArcLengthC;
  PyObject *__pyx_n_u_approximateQuadraticArcLengthC;
  PyObject *__pyx_n_s_arch;
  PyObject *__pyx_n_s_args;
  PyObject *__pyx_n_s_asinh;
  PyObject *__pyx_n_s_asyncio_coroutines;
  PyObject *__pyx_n_s_atan2;
  PyObject *__pyx_n_s_ax;
  PyObject *__pyx_n_s_ax2;
  PyObject *__pyx_n_s_ax3;
  PyObject *__pyx_n_s_ay;
  PyObject *__pyx_n_s_ay2;
  PyObject *__pyx_n_s_ay3;
  PyObject *__pyx_n_s_b;
  PyObject *__pyx_n_s_b1;
  PyObject *__pyx_n_s_b1x;
  PyObject *__pyx_n_s_b1y;
  PyObject *__pyx_n_s_both_points_are_on_same_side_of;
  PyObject *__pyx_n_s_bounds1;
  PyObject *__pyx_n_s_bounds2;
  PyObject *__pyx_n_s_box;
  PyObject *__pyx_n_s_bx;
  PyObject *__pyx_n_s_bx2;
  PyObject *__pyx_n_s_by;
  PyObject *__pyx_n_s_by2;
  PyObject *__pyx_n_s_c;
  PyObject *__pyx_n_s_c1;
  PyObject *__pyx_n_s_c11;
  PyObject *__pyx_n_s_c11_range;
  PyObject *__pyx_n_s_c12;
  PyObject *__pyx_n_s_c12_range;
  PyObject *__pyx_n_s_c1x;
  PyObject *__pyx_n_s_c1y;
  PyObject *__pyx_n_s_c21;
  PyObject *__pyx_n_s_c21_range;
  PyObject *__pyx_n_s_c22;
  PyObject *__pyx_n_s_c22_range;
  PyObject *__pyx_n_s_calcBounds;
  PyObject *__pyx_n_s_calcCubicArcLength;
  PyObject *__pyx_n_u_calcCubicArcLength;
  PyObject *__pyx_n_s_calcCubicArcLengthC;
  PyObject *__pyx_n_u_calcCubicArcLengthC;
  PyObject *__pyx_n_s_calcCubicArcLengthCRecurse;
  PyObject *__pyx_n_s_calcCubicBounds;
  PyObject *__pyx_n_u_calcCubicBounds;
  PyObject *__pyx_kp_u_calcCubicBounds_line_412;
  PyObject *__pyx_n_s_calcCubicParameters;
  PyObject *__pyx_n_s_calcCubicPoints;
  PyObject *__pyx_n_s_calcQuadraticArcLength;
  PyObject *__pyx_n_u_calcQuadraticArcLength;
  PyObject *__pyx_n_s_calcQuadraticArcLengthC;
  PyObject *__pyx_n_u_calcQuadraticArcLengthC;
  PyObject *__pyx_kp_u_calcQuadraticArcLength_line_151;
  PyObject *__pyx_n_s_calcQuadraticBounds;
  PyObject *__pyx_n_u_calcQuadraticBounds;
  PyObject *__pyx_kp_u_calcQuadraticBounds_line_298;
  PyObject *__pyx_n_s_calcQuadraticParameters;
  PyObject *__pyx_n_s_calcQuadraticPoints;
  PyObject *__pyx_n_s_class_getitem;
  PyObject *__pyx_n_s_cline_in_traceback;
  PyObject *__pyx_n_s_close;
  PyObject *__pyx_n_s_collections;
  PyObject *__pyx_n_s_cos;
  PyObject *__pyx_n_s_cubicPointAtT;
  PyObject *__pyx_n_u_cubicPointAtT;
  PyObject *__pyx_n_s_cubicPointAtTC;
  PyObject *__pyx_n_u_cubicPointAtTC;
  PyObject *__pyx_n_s_curve;
  PyObject *__pyx_n_s_curve1;
  PyObject *__pyx_n_s_curve2;
  PyObject *__pyx_n_s_curveCurveIntersections;
  PyObject *__pyx_n_u_curveCurveIntersections;
  PyObject *__pyx_kp_u_curveCurveIntersections_line_137;
  PyObject *__pyx_n_s_curveLineIntersections;
  PyObject *__pyx_n_u_curveLineIntersections;
  PyObject *__pyx_kp_u_curveLineIntersections_line_1248;
  PyObject *__pyx_n_s_curve_bounds;
  PyObject *__pyx_n_s_curve_curve_intersections_t;
  PyObject *__pyx_n_s_curve_curve_intersections_t_loc;
  PyObject *__pyx_n_s_curve_curve_intersections_t_loc_2;
  PyObject *__pyx_n_s_curve_line_intersections_t;
  PyObject *__pyx_n_s_curve_line_intersections_t_loca;
  PyObject *__pyx_n_s_cx;
  PyObject *__pyx_n_s_cy;
  PyObject *__pyx_n_s_cython;
  PyObject *__pyx_n_s_d;
  PyObject *__pyx_n_s_d0;
  PyObject *__pyx_n_s_d1;
  PyObject *__pyx_n_s_d1x;
  PyObject *__pyx_n_s_d1y;
  PyObject *__pyx_n_s_delta;
  PyObject *__pyx_n_s_delta_2;
  PyObject *__pyx_n_s_delta_3;
  PyObject *__pyx_n_s_deriv3;
  PyObject *__pyx_kp_u_disable;
  PyObject *__pyx_n_s_doctest;
  PyObject *__pyx_n_s_dx;
  PyObject *__pyx_n_s_dy;
  PyObject *__pyx_n_s_e;
  PyObject *__pyx_n_s_e1;
  PyObject *__pyx_n_s_e1x;
  PyObject *__pyx_n_s_e1y;
  PyObject *__pyx_n_s_e2;
  PyObject *__pyx_n_s_e2x;
  PyObject *__pyx_n_s_e2y;
  PyObject *__pyx_kp_u_enable;
  PyObject *__pyx_n_s_end;
  PyObject *__pyx_n_s_epsilon;
  PyObject *__pyx_n_s_epsilonDigits;
  PyObject *__pyx_n_s_ex;
  PyObject *__pyx_n_s_exit;
  PyObject *__pyx_n_s_ey;
  PyObject *__pyx_n_s_failed;
  PyObject *__pyx_n_s_fontTools_misc;
  PyObject *__pyx_n_s_fontTools_misc_arrayTools;
  PyObject *__pyx_n_s_fontTools_misc_bezierTools;
  PyObject *__pyx_n_s_fontTools_misc_transform;
  PyObject *__pyx_n_s_found;
  PyObject *__pyx_kp_u_g;
  PyObject *__pyx_kp_u_gc;
  PyObject *__pyx_n_s_genexpr;
  PyObject *__pyx_n_s_i;
  PyObject *__pyx_n_s_import;
  PyObject *__pyx_n_s_initializing;
  PyObject *__pyx_n_s_insert;
  PyObject *__pyx_n_s_intersection_ts;
  PyObject *__pyx_n_s_intersections;
  PyObject *__pyx_n_s_intersects;
  PyObject *__pyx_n_s_isHorizontal;
  PyObject *__pyx_n_s_is_coroutine;
  PyObject *__pyx_n_s_is_linelike;
  PyObject *__pyx_n_s_is_linelike_locals_genexpr;
  PyObject *__pyx_n_s_isclose;
  PyObject *__pyx_kp_u_isenabled;
  PyObject *__pyx_n_s_it;
  PyObject *__pyx_n_s_key;
  PyObject *__pyx_n_s_line;
  PyObject *__pyx_n_s_line1;
  PyObject *__pyx_n_s_line2;
  PyObject *__pyx_n_s_lineLineIntersections;
  PyObject *__pyx_n_u_lineLineIntersections;
  PyObject *__pyx_kp_u_lineLineIntersections_line_1147;
  PyObject *__pyx_n_s_linePointAtT;
  PyObject *__pyx_n_u_linePointAtT;
  PyObject *__pyx_n_s_line_t;
  PyObject *__pyx_n_s_line_t_of_pt;
  PyObject *__pyx_n_s_main;
  PyObject *__pyx_n_u_main;
  PyObject *__pyx_n_s_math;
  PyObject *__pyx_n_s_maybeline;
  PyObject *__pyx_n_s_mid;
  PyObject *__pyx_n_s_midPt;
  PyObject *__pyx_n_s_midpoint;
  PyObject *__pyx_n_s_mult;
  PyObject *__pyx_n_s_n;
  PyObject *__pyx_n_s_name;
  PyObject *__pyx_n_s_namedtuple;
  PyObject *__pyx_n_s_obj;
  PyObject *__pyx_n_s_off1;
  PyObject *__pyx_n_s_off2;
  PyObject *__pyx_n_s_one;
  PyObject *__pyx_n_s_origDist;
  PyObject *__pyx_n_s_origin;
  PyObject *__pyx_n_s_p0;
  PyObject *__pyx_n_s_p1;
  PyObject *__pyx_n_s_p2;
  PyObject *__pyx_n_s_p3;
  PyObject *__pyx_n_s_pi;
  PyObject *__pyx_n_s_pointAtT;
  PyObject *__pyx_n_s_pointFinder;
  PyObject *__pyx_n_s_points;
  PyObject *__pyx_n_s_precision;
  PyObject *__pyx_n_s_print;
  PyObject *__pyx_n_s_printSegments;
  PyObject *__pyx_n_s_pt;
  PyObject *__pyx_n_u_pt;
  PyObject *__pyx_n_s_pt1;
  PyObject *__pyx_n_s_pt1x;
  PyObject *__pyx_n_s_pt1y;
  PyObject *__pyx_n_s_pt2;
  PyObject *__pyx_n_s_pt2x;
  PyObject *__pyx_n_s_pt2y;
  PyObject *__pyx_n_s_pt3;
  PyObject *__pyx_n_s_pt4;
  PyObject *__pyx_n_s_px;
  PyObject *__pyx_n_s_py;
  PyObject *__pyx_n_s_quadraticPointAtT;
  PyObject *__pyx_n_u_quadraticPointAtT;
  PyObject *__pyx_n_s_r;
  PyObject *__pyx_n_s_rDD;
  PyObject *__pyx_n_s_rQ2;
  PyObject *__pyx_n_s_range;
  PyObject *__pyx_n_s_range1;
  PyObject *__pyx_n_s_range2;
  PyObject *__pyx_n_s_rectArea;
  PyObject *__pyx_n_s_roots;
  PyObject *__pyx_n_s_rotate;
  PyObject *__pyx_n_s_round;
  PyObject *__pyx_n_s_s;
  PyObject *__pyx_n_s_s1;
  PyObject *__pyx_n_s_s1x;
  PyObject *__pyx_n_s_s1y;
  PyObject *__pyx_n_s_s2;
  PyObject *__pyx_n_s_s2x;
  PyObject *__pyx_n_s_s2y;
  PyObject *__pyx_kp_u_s_2;
  PyObject *__pyx_n_s_scale;
  PyObject *__pyx_n_s_sectRect;
  PyObject *__pyx_n_s_seen;
  PyObject *__pyx_n_s_seg;
  PyObject *__pyx_n_s_seg1;
  PyObject *__pyx_n_s_seg2;
  PyObject *__pyx_n_s_segment;
  PyObject *__pyx_n_s_segmentPointAtT;
  PyObject *__pyx_n_u_segmentPointAtT;
  PyObject *__pyx_n_s_segmentSegmentIntersections;
  PyObject *__pyx_n_u_segmentSegmentIntersections;
  PyObject *__pyx_kp_u_segmentSegmentIntersections_line;
  PyObject *__pyx_n_s_segmentrepr;
  PyObject *__pyx_kp_u_segmentrepr_1_2_3_2_3_4_0_1_2;
  PyObject *__pyx_kp_u_segmentrepr_line_1465;
  PyObject *__pyx_n_s_segmentrepr_locals_genexpr;
  PyObject *__pyx_n_s_segments;
  PyObject *__pyx_n_s_send;
  PyObject *__pyx_n_s_slope12;
  PyObject *__pyx_n_s_slope34;
  PyObject *__pyx_n_s_solutions;
  PyObject *__pyx_n_s_solveCubic;
  PyObject *__pyx_n_u_solveCubic;
  PyObject *__pyx_kp_u_solveCubic_line_841;
  PyObject *__pyx_n_s_solveQuadratic;
  PyObject *__pyx_n_u_solveQuadratic;
  PyObject *__pyx_n_s_spec;
  PyObject *__pyx_n_s_splitCubic;
  PyObject *__pyx_n_u_splitCubic;
  PyObject *__pyx_n_s_splitCubicAtT;
  PyObject *__pyx_n_s_splitCubicAtTC;
  PyObject *__pyx_n_u_splitCubicAtTC;
  PyObject *__pyx_n_s_splitCubicAtTC_2;
  PyObject *__pyx_n_s_splitCubicAtT_2;
  PyObject *__pyx_n_u_splitCubicAtT_2;
  PyObject *__pyx_kp_u_splitCubicAtT_line_613;
  PyObject *__pyx_n_s_splitCubicIntoTwoAtTC;
  PyObject *__pyx_n_u_splitCubicIntoTwoAtTC;
  PyObject *__pyx_kp_u_splitCubic_line_552;
  PyObject *__pyx_n_s_splitCubic_locals_genexpr;
  PyObject *__pyx_n_s_splitLine;
  PyObject *__pyx_n_u_splitLine;
  PyObject *__pyx_kp_u_splitLine_line_450;
  PyObject *__pyx_n_s_splitQuadratic;
  PyObject *__pyx_n_u_splitQuadratic;
  PyObject *__pyx_n_s_splitQuadraticAtT;
  PyObject *__pyx_n_s_splitQuadraticAtT_2;
  PyObject *__pyx_n_u_splitQuadraticAtT_2;
  PyObject *__pyx_kp_u_splitQuadraticAtT_line_589;
  PyObject *__pyx_kp_u_splitQuadratic_line_507;
  PyObject *__pyx_n_s_splitQuadratic_locals_genexpr;
  PyObject *__pyx_n_s_split_cubic_into_two;
  PyObject *__pyx_n_s_split_segment_at_t;
  PyObject *__pyx_n_s_sqrt;
  PyObject *__pyx_n_s_start;
  PyObject *__pyx_n_s_swapped;
  PyObject *__pyx_n_s_sx;
  PyObject *__pyx_n_s_sy;
  PyObject *__pyx_n_s_sys;
  PyObject *__pyx_n_s_t;
  PyObject *__pyx_n_s_t1;
  PyObject *__pyx_n_u_t1;
  PyObject *__pyx_n_s_t1_2;
  PyObject *__pyx_n_s_t1_3;
  PyObject *__pyx_n_s_t2;
  PyObject *__pyx_n_u_t2;
  PyObject *__pyx_n_s_test;
  PyObject *__pyx_n_s_testmod;
  PyObject *__pyx_n_s_theta;
  PyObject *__pyx_n_s_throw;
  PyObject *__pyx_n_s_tolerance;
  PyObject *__pyx_n_s_transformPoints;
  PyObject *__pyx_n_s_translate;
  PyObject *__pyx_n_s_ts;
  PyObject *__pyx_n_s_two;
  PyObject *__pyx_n_s_unique_key;
  PyObject *__pyx_n_s_unique_values;
  PyObject *__pyx_n_s_v0;
  PyObject *__pyx_n_s_v1;
  PyObject *__pyx_n_s_v2;
  PyObject *__pyx_n_s_v3;
  PyObject *__pyx_n_s_v4;
  PyObject *__pyx_n_s_where;
  PyObject *__pyx_n_s_x;
  PyObject *__pyx_n_s_x0;
  PyObject *__pyx_n_s_x1;
  PyObject *__pyx_n_s_x2;
  PyObject *__pyx_n_s_x3;
  PyObject *__pyx_n_s_x4;
  PyObject *__pyx_n_s_xDiff;
  PyObject *__pyx_n_s_xRoots;
  PyObject *__pyx_n_s_y;
  PyObject *__pyx_n_s_y1;
  PyObject *__pyx_n_s_y2;
  PyObject *__pyx_n_s_y3;
  PyObject *__pyx_n_s_y4;
  PyObject *__pyx_n_s_yDiff;
  PyObject *__pyx_n_s_yRoots;
  PyObject *__pyx_float_0_0;
  PyObject *__pyx_float_0_5;
  PyObject *__pyx_float_1_0;
  PyObject *__pyx_float_2_0;
  PyObject *__pyx_float_3_0;
  PyObject *__pyx_float_4_0;
  PyObject *__pyx_float_9_0;
  PyObject *__pyx_float_1eneg_3;
  PyObject *__pyx_float_27_0;
  PyObject *__pyx_float_54_0;
  PyObject *__pyx_float_0_005;
  PyObject *__pyx_float_0_125;
  PyObject *__pyx_float_1eneg_10;
  PyObject *__pyx_float_neg_2_0;
  PyObject *__pyx_int_0;
  PyObject *__pyx_int_1;
  PyObject *__pyx_int_2;
  PyObject *__pyx_int_3;
  PyObject *__pyx_int_6;
  PyObject *__pyx_int_neg_1;
  PyObject *__pyx_codeobj_;
  PyObject *__pyx_tuple__2;
  PyObject *__pyx_tuple__4;
  PyObject *__pyx_tuple__5;
  PyObject *__pyx_tuple__6;
  PyObject *__pyx_tuple__8;
  PyObject *__pyx_tuple__12;
  PyObject *__pyx_tuple__14;
  PyObject *__pyx_tuple__15;
  PyObject *__pyx_tuple__17;
  PyObject *__pyx_tuple__19;
  PyObject *__pyx_tuple__21;
  PyObject *__pyx_tuple__23;
  PyObject *__pyx_tuple__26;
  PyObject *__pyx_tuple__28;
  PyObject *__pyx_tuple__30;
  PyObject *__pyx_tuple__32;
  PyObject *__pyx_tuple__34;
  PyObject *__pyx_tuple__36;
  PyObject *__pyx_tuple__38;
  PyObject *__pyx_tuple__40;
  PyObject *__pyx_tuple__42;
  PyObject *__pyx_tuple__44;
  PyObject *__pyx_tuple__46;
  PyObject *__pyx_tuple__48;
  PyObject *__pyx_tuple__50;
  PyObject *__pyx_tuple__52;
  PyObject *__pyx_tuple__53;
  PyObject *__pyx_tuple__55;
  PyObject *__pyx_tuple__57;
  PyObject *__pyx_tuple__59;
  PyObject *__pyx_tuple__61;
  PyObject *__pyx_tuple__63;
  PyObject *__pyx_tuple__65;
  PyObject *__pyx_tuple__67;
  PyObject *__pyx_tuple__69;
  PyObject *__pyx_tuple__71;
  PyObject *__pyx_tuple__73;
  PyObject *__pyx_tuple__75;
  PyObject *__pyx_tuple__77;
  PyObject *__pyx_tuple__79;
  PyObject *__pyx_tuple__81;
  PyObject *__pyx_tuple__83;
  PyObject *__pyx_tuple__85;
  PyObject *__pyx_tuple__87;
  PyObject *__pyx_tuple__89;
  PyObject *__pyx_tuple__92;
  PyObject *__pyx_tuple__94;
  PyObject *__pyx_tuple__95;
  PyObject *__pyx_tuple__97;
  PyObject *__pyx_tuple__99;
  PyObject *__pyx_codeobj__3;
  PyObject *__pyx_codeobj__7;
  PyObject *__pyx_tuple__101;
  PyObject *__pyx_tuple__103;
  PyObject *__pyx_codeobj__13;
  PyObject *__pyx_codeobj__16;
  PyObject *__pyx_codeobj__18;
  PyObject *__pyx_codeobj__20;
  PyObject *__pyx_codeobj__22;
  PyObject *__pyx_codeobj__24;
  PyObject *__pyx_codeobj__25;
  PyObject *__pyx_codeobj__27;
  PyObject *__pyx_codeobj__29;
  PyObject *__pyx_codeobj__31;
  PyObject *__pyx_codeobj__33;
  PyObject *__pyx_codeobj__35;
  PyObject *__pyx_codeobj__37;
  PyObject *__pyx_codeobj__39;
  PyObject *__pyx_codeobj__41;
  PyObject *__pyx_codeobj__43;
  PyObject *__pyx_codeobj__45;
  PyObject *__pyx_codeobj__47;
  PyObject *__pyx_codeobj__49;
  PyObject *__pyx_codeobj__51;
  PyObject *__pyx_codeobj__54;
  PyObject *__pyx_codeobj__56;
  PyObject *__pyx_codeobj__58;
  PyObject *__pyx_codeobj__60;
  PyObject *__pyx_codeobj__62;
  PyObject *__pyx_codeobj__64;
  PyObject *__pyx_codeobj__66;
  PyObject *__pyx_codeobj__68;
  PyObject *__pyx_codeobj__70;
  PyObject *__pyx_codeobj__72;
  PyObject *__pyx_codeobj__74;
  PyObject *__pyx_codeobj__76;
  PyObject *__pyx_codeobj__78;
  PyObject *__pyx_codeobj__80;
  PyObject *__pyx_codeobj__82;
  PyObject *__pyx_codeobj__84;
  PyObject *__pyx_codeobj__86;
  PyObject *__pyx_codeobj__88;
  PyObject *__pyx_codeobj__90;
  PyObject *__pyx_codeobj__93;
  PyObject *__pyx_codeobj__96;
  PyObject *__pyx_codeobj__98;
  PyObject *__pyx_codeobj__100;
  PyObject *__pyx_codeobj__102;
  PyObject *__pyx_codeobj__104;
} __pyx_mstate;

#if CYTHON_USE_MODULE_STATE
#ifdef __cplusplus
namespace {
  extern struct PyModuleDef __pyx_moduledef;
} /* anonymous namespace */
#else
static struct PyModuleDef __pyx_moduledef;
#endif

#define __pyx_mstate(o) ((__pyx_mstate *)__Pyx_PyModule_GetState(o))

#define __pyx_mstate_global (__pyx_mstate(PyState_FindModule(&__pyx_moduledef)))

#define __pyx_m (PyState_FindModule(&__pyx_moduledef))
#else
static __pyx_mstate __pyx_mstate_global_static =
#ifdef __cplusplus
    {};
#else
    {0};
#endif
static __pyx_mstate *__pyx_mstate_global = &__pyx_mstate_global_static;
#endif
/* #### Code section: module_state_clear ### */
#if CYTHON_USE_MODULE_STATE
static int __pyx_m_clear(PyObject *m) {
  __pyx_mstate *clear_module_state = __pyx_mstate(m);
  if (!clear_module_state) return 0;
  Py_CLEAR(clear_module_state->__pyx_d);
  Py_CLEAR(clear_module_state->__pyx_b);
  Py_CLEAR(clear_module_state->__pyx_cython_runtime);
  Py_CLEAR(clear_module_state->__pyx_empty_tuple);
  Py_CLEAR(clear_module_state->__pyx_empty_bytes);
  Py_CLEAR(clear_module_state->__pyx_empty_unicode);
  #ifdef __Pyx_CyFunction_USED
  Py_CLEAR(clear_module_state->__pyx_CyFunctionType);
  #endif
  #ifdef __Pyx_FusedFunction_USED
  Py_CLEAR(clear_module_state->__pyx_FusedFunctionType);
  #endif
  Py_CLEAR(clear_module_state->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr);
  Py_CLEAR(clear_module_state->__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr);
  Py_CLEAR(clear_module_state->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr);
  Py_CLEAR(clear_module_state->__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr);
  Py_CLEAR(clear_module_state->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC);
  Py_CLEAR(clear_module_state->__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC);
  Py_CLEAR(clear_module_state->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC);
  Py_CLEAR(clear_module_state->__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC);
  Py_CLEAR(clear_module_state->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr);
  Py_CLEAR(clear_module_state->__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr);
  Py_CLEAR(clear_module_state->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t);
  Py_CLEAR(clear_module_state->__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t);
  Py_CLEAR(clear_module_state->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr);
  Py_CLEAR(clear_module_state->__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr);
  Py_CLEAR(clear_module_state->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr);
  Py_CLEAR(clear_module_state->__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr);
  Py_CLEAR(clear_module_state->__pyx_n_s_1_t);
  Py_CLEAR(clear_module_state->__pyx_n_s_1_t_2);
  Py_CLEAR(clear_module_state->__pyx_n_s_2_t_1_t);
  Py_CLEAR(clear_module_state->__pyx_kp_u_Approximates_the_arc_length_for);
  Py_CLEAR(clear_module_state->__pyx_n_s_AttributeError);
  Py_CLEAR(clear_module_state->__pyx_n_s_COMPILED);
  Py_CLEAR(clear_module_state->__pyx_kp_u_Calculates_the_arc_length_for_a);
  Py_CLEAR(clear_module_state->__pyx_kp_u_Calculates_the_bounding_rectangl);
  Py_CLEAR(clear_module_state->__pyx_kp_u_Calculates_the_bounding_rectangl_2);
  Py_CLEAR(clear_module_state->__pyx_kp_u_Couldn_t_work_out_which_intersec);
  Py_CLEAR(clear_module_state->__pyx_n_s_DD);
  Py_CLEAR(clear_module_state->__pyx_kp_u_Finds_intersections_between_a_cu);
  Py_CLEAR(clear_module_state->__pyx_kp_u_Finds_intersections_between_a_cu_2);
  Py_CLEAR(clear_module_state->__pyx_kp_u_Finds_intersections_between_two);
  Py_CLEAR(clear_module_state->__pyx_kp_u_Finds_intersections_between_two_2);
  Py_CLEAR(clear_module_state->__pyx_n_s_Identity);
  Py_CLEAR(clear_module_state->__pyx_n_s_ImportError);
  Py_CLEAR(clear_module_state->__pyx_n_s_Intersection);
  Py_CLEAR(clear_module_state->__pyx_n_u_Intersection);
  Py_CLEAR(clear_module_state->__pyx_n_s_Len);
  Py_CLEAR(clear_module_state->__pyx_kp_s_Lib_fontTools_misc_bezierTools_p);
  Py_CLEAR(clear_module_state->__pyx_n_s_Q);
  Py_CLEAR(clear_module_state->__pyx_n_s_Q3);
  Py_CLEAR(clear_module_state->__pyx_n_s_R);
  Py_CLEAR(clear_module_state->__pyx_n_s_R2);
  Py_CLEAR(clear_module_state->__pyx_n_s_R2_Q3);
  Py_CLEAR(clear_module_state->__pyx_kp_u_Solve_a_cubic_equation_Solves_a);
  Py_CLEAR(clear_module_state->__pyx_kp_u_Split_a_cubic_Bezier_curve_at_a);
  Py_CLEAR(clear_module_state->__pyx_kp_u_Split_a_cubic_Bezier_curve_at_on);
  Py_CLEAR(clear_module_state->__pyx_kp_u_Split_a_line_at_a_given_coordina);
  Py_CLEAR(clear_module_state->__pyx_kp_u_Split_a_quadratic_Bezier_curve_a);
  Py_CLEAR(clear_module_state->__pyx_kp_u_Split_a_quadratic_Bezier_curve_a_2);
  Py_CLEAR(clear_module_state->__pyx_n_s_TypeError);
  Py_CLEAR(clear_module_state->__pyx_kp_u_Unknown_curve_degree);
  Py_CLEAR(clear_module_state->__pyx_n_s_ValueError);
  Py_CLEAR(clear_module_state->__pyx_kp_u__10);
  Py_CLEAR(clear_module_state->__pyx_n_s__105);
  Py_CLEAR(clear_module_state->__pyx_n_s__11);
  Py_CLEAR(clear_module_state->__pyx_kp_u__9);
  Py_CLEAR(clear_module_state->__pyx_n_s__91);
  Py_CLEAR(clear_module_state->__pyx_n_s_a);
  Py_CLEAR(clear_module_state->__pyx_n_s_a1);
  Py_CLEAR(clear_module_state->__pyx_n_s_a1_3);
  Py_CLEAR(clear_module_state->__pyx_n_s_a1x);
  Py_CLEAR(clear_module_state->__pyx_n_s_a1y);
  Py_CLEAR(clear_module_state->__pyx_n_s_a2);
  Py_CLEAR(clear_module_state->__pyx_n_s_a3);
  Py_CLEAR(clear_module_state->__pyx_n_s_acos);
  Py_CLEAR(clear_module_state->__pyx_n_s_aligned_curve);
  Py_CLEAR(clear_module_state->__pyx_n_s_alignment_transformation);
  Py_CLEAR(clear_module_state->__pyx_n_s_all);
  Py_CLEAR(clear_module_state->__pyx_n_s_angle);
  Py_CLEAR(clear_module_state->__pyx_n_s_append);
  Py_CLEAR(clear_module_state->__pyx_n_s_approximateCubicArcLength);
  Py_CLEAR(clear_module_state->__pyx_n_u_approximateCubicArcLength);
  Py_CLEAR(clear_module_state->__pyx_n_s_approximateCubicArcLengthC);
  Py_CLEAR(clear_module_state->__pyx_n_u_approximateCubicArcLengthC);
  Py_CLEAR(clear_module_state->__pyx_kp_u_approximateCubicArcLength_line_3);
  Py_CLEAR(clear_module_state->__pyx_n_s_approximateQuadraticArcLength);
  Py_CLEAR(clear_module_state->__pyx_n_u_approximateQuadraticArcLength);
  Py_CLEAR(clear_module_state->__pyx_n_s_approximateQuadraticArcLengthC);
  Py_CLEAR(clear_module_state->__pyx_n_u_approximateQuadraticArcLengthC);
  Py_CLEAR(clear_module_state->__pyx_n_s_arch);
  Py_CLEAR(clear_module_state->__pyx_n_s_args);
  Py_CLEAR(clear_module_state->__pyx_n_s_asinh);
  Py_CLEAR(clear_module_state->__pyx_n_s_asyncio_coroutines);
  Py_CLEAR(clear_module_state->__pyx_n_s_atan2);
  Py_CLEAR(clear_module_state->__pyx_n_s_ax);
  Py_CLEAR(clear_module_state->__pyx_n_s_ax2);
  Py_CLEAR(clear_module_state->__pyx_n_s_ax3);
  Py_CLEAR(clear_module_state->__pyx_n_s_ay);
  Py_CLEAR(clear_module_state->__pyx_n_s_ay2);
  Py_CLEAR(clear_module_state->__pyx_n_s_ay3);
  Py_CLEAR(clear_module_state->__pyx_n_s_b);
  Py_CLEAR(clear_module_state->__pyx_n_s_b1);
  Py_CLEAR(clear_module_state->__pyx_n_s_b1x);
  Py_CLEAR(clear_module_state->__pyx_n_s_b1y);
  Py_CLEAR(clear_module_state->__pyx_n_s_both_points_are_on_same_side_of);
  Py_CLEAR(clear_module_state->__pyx_n_s_bounds1);
  Py_CLEAR(clear_module_state->__pyx_n_s_bounds2);
  Py_CLEAR(clear_module_state->__pyx_n_s_box);
  Py_CLEAR(clear_module_state->__pyx_n_s_bx);
  Py_CLEAR(clear_module_state->__pyx_n_s_bx2);
  Py_CLEAR(clear_module_state->__pyx_n_s_by);
  Py_CLEAR(clear_module_state->__pyx_n_s_by2);
  Py_CLEAR(clear_module_state->__pyx_n_s_c);
  Py_CLEAR(clear_module_state->__pyx_n_s_c1);
  Py_CLEAR(clear_module_state->__pyx_n_s_c11);
  Py_CLEAR(clear_module_state->__pyx_n_s_c11_range);
  Py_CLEAR(clear_module_state->__pyx_n_s_c12);
  Py_CLEAR(clear_module_state->__pyx_n_s_c12_range);
  Py_CLEAR(clear_module_state->__pyx_n_s_c1x);
  Py_CLEAR(clear_module_state->__pyx_n_s_c1y);
  Py_CLEAR(clear_module_state->__pyx_n_s_c21);
  Py_CLEAR(clear_module_state->__pyx_n_s_c21_range);
  Py_CLEAR(clear_module_state->__pyx_n_s_c22);
  Py_CLEAR(clear_module_state->__pyx_n_s_c22_range);
  Py_CLEAR(clear_module_state->__pyx_n_s_calcBounds);
  Py_CLEAR(clear_module_state->__pyx_n_s_calcCubicArcLength);
  Py_CLEAR(clear_module_state->__pyx_n_u_calcCubicArcLength);
  Py_CLEAR(clear_module_state->__pyx_n_s_calcCubicArcLengthC);
  Py_CLEAR(clear_module_state->__pyx_n_u_calcCubicArcLengthC);
  Py_CLEAR(clear_module_state->__pyx_n_s_calcCubicArcLengthCRecurse);
  Py_CLEAR(clear_module_state->__pyx_n_s_calcCubicBounds);
  Py_CLEAR(clear_module_state->__pyx_n_u_calcCubicBounds);
  Py_CLEAR(clear_module_state->__pyx_kp_u_calcCubicBounds_line_412);
  Py_CLEAR(clear_module_state->__pyx_n_s_calcCubicParameters);
  Py_CLEAR(clear_module_state->__pyx_n_s_calcCubicPoints);
  Py_CLEAR(clear_module_state->__pyx_n_s_calcQuadraticArcLength);
  Py_CLEAR(clear_module_state->__pyx_n_u_calcQuadraticArcLength);
  Py_CLEAR(clear_module_state->__pyx_n_s_calcQuadraticArcLengthC);
  Py_CLEAR(clear_module_state->__pyx_n_u_calcQuadraticArcLengthC);
  Py_CLEAR(clear_module_state->__pyx_kp_u_calcQuadraticArcLength_line_151);
  Py_CLEAR(clear_module_state->__pyx_n_s_calcQuadraticBounds);
  Py_CLEAR(clear_module_state->__pyx_n_u_calcQuadraticBounds);
  Py_CLEAR(clear_module_state->__pyx_kp_u_calcQuadraticBounds_line_298);
  Py_CLEAR(clear_module_state->__pyx_n_s_calcQuadraticParameters);
  Py_CLEAR(clear_module_state->__pyx_n_s_calcQuadraticPoints);
  Py_CLEAR(clear_module_state->__pyx_n_s_class_getitem);
  Py_CLEAR(clear_module_state->__pyx_n_s_cline_in_traceback);
  Py_CLEAR(clear_module_state->__pyx_n_s_close);
  Py_CLEAR(clear_module_state->__pyx_n_s_collections);
  Py_CLEAR(clear_module_state->__pyx_n_s_cos);
  Py_CLEAR(clear_module_state->__pyx_n_s_cubicPointAtT);
  Py_CLEAR(clear_module_state->__pyx_n_u_cubicPointAtT);
  Py_CLEAR(clear_module_state->__pyx_n_s_cubicPointAtTC);
  Py_CLEAR(clear_module_state->__pyx_n_u_cubicPointAtTC);
  Py_CLEAR(clear_module_state->__pyx_n_s_curve);
  Py_CLEAR(clear_module_state->__pyx_n_s_curve1);
  Py_CLEAR(clear_module_state->__pyx_n_s_curve2);
  Py_CLEAR(clear_module_state->__pyx_n_s_curveCurveIntersections);
  Py_CLEAR(clear_module_state->__pyx_n_u_curveCurveIntersections);
  Py_CLEAR(clear_module_state->__pyx_kp_u_curveCurveIntersections_line_137);
  Py_CLEAR(clear_module_state->__pyx_n_s_curveLineIntersections);
  Py_CLEAR(clear_module_state->__pyx_n_u_curveLineIntersections);
  Py_CLEAR(clear_module_state->__pyx_kp_u_curveLineIntersections_line_1248);
  Py_CLEAR(clear_module_state->__pyx_n_s_curve_bounds);
  Py_CLEAR(clear_module_state->__pyx_n_s_curve_curve_intersections_t);
  Py_CLEAR(clear_module_state->__pyx_n_s_curve_curve_intersections_t_loc);
  Py_CLEAR(clear_module_state->__pyx_n_s_curve_curve_intersections_t_loc_2);
  Py_CLEAR(clear_module_state->__pyx_n_s_curve_line_intersections_t);
  Py_CLEAR(clear_module_state->__pyx_n_s_curve_line_intersections_t_loca);
  Py_CLEAR(clear_module_state->__pyx_n_s_cx);
  Py_CLEAR(clear_module_state->__pyx_n_s_cy);
  Py_CLEAR(clear_module_state->__pyx_n_s_cython);
  Py_CLEAR(clear_module_state->__pyx_n_s_d);
  Py_CLEAR(clear_module_state->__pyx_n_s_d0);
  Py_CLEAR(clear_module_state->__pyx_n_s_d1);
  Py_CLEAR(clear_module_state->__pyx_n_s_d1x);
  Py_CLEAR(clear_module_state->__pyx_n_s_d1y);
  Py_CLEAR(clear_module_state->__pyx_n_s_delta);
  Py_CLEAR(clear_module_state->__pyx_n_s_delta_2);
  Py_CLEAR(clear_module_state->__pyx_n_s_delta_3);
  Py_CLEAR(clear_module_state->__pyx_n_s_deriv3);
  Py_CLEAR(clear_module_state->__pyx_kp_u_disable);
  Py_CLEAR(clear_module_state->__pyx_n_s_doctest);
  Py_CLEAR(clear_module_state->__pyx_n_s_dx);
  Py_CLEAR(clear_module_state->__pyx_n_s_dy);
  Py_CLEAR(clear_module_state->__pyx_n_s_e);
  Py_CLEAR(clear_module_state->__pyx_n_s_e1);
  Py_CLEAR(clear_module_state->__pyx_n_s_e1x);
  Py_CLEAR(clear_module_state->__pyx_n_s_e1y);
  Py_CLEAR(clear_module_state->__pyx_n_s_e2);
  Py_CLEAR(clear_module_state->__pyx_n_s_e2x);
  Py_CLEAR(clear_module_state->__pyx_n_s_e2y);
  Py_CLEAR(clear_module_state->__pyx_kp_u_enable);
  Py_CLEAR(clear_module_state->__pyx_n_s_end);
  Py_CLEAR(clear_module_state->__pyx_n_s_epsilon);
  Py_CLEAR(clear_module_state->__pyx_n_s_epsilonDigits);
  Py_CLEAR(clear_module_state->__pyx_n_s_ex);
  Py_CLEAR(clear_module_state->__pyx_n_s_exit);
  Py_CLEAR(clear_module_state->__pyx_n_s_ey);
  Py_CLEAR(clear_module_state->__pyx_n_s_failed);
  Py_CLEAR(clear_module_state->__pyx_n_s_fontTools_misc);
  Py_CLEAR(clear_module_state->__pyx_n_s_fontTools_misc_arrayTools);
  Py_CLEAR(clear_module_state->__pyx_n_s_fontTools_misc_bezierTools);
  Py_CLEAR(clear_module_state->__pyx_n_s_fontTools_misc_transform);
  Py_CLEAR(clear_module_state->__pyx_n_s_found);
  Py_CLEAR(clear_module_state->__pyx_kp_u_g);
  Py_CLEAR(clear_module_state->__pyx_kp_u_gc);
  Py_CLEAR(clear_module_state->__pyx_n_s_genexpr);
  Py_CLEAR(clear_module_state->__pyx_n_s_i);
  Py_CLEAR(clear_module_state->__pyx_n_s_import);
  Py_CLEAR(clear_module_state->__pyx_n_s_initializing);
  Py_CLEAR(clear_module_state->__pyx_n_s_insert);
  Py_CLEAR(clear_module_state->__pyx_n_s_intersection_ts);
  Py_CLEAR(clear_module_state->__pyx_n_s_intersections);
  Py_CLEAR(clear_module_state->__pyx_n_s_intersects);
  Py_CLEAR(clear_module_state->__pyx_n_s_isHorizontal);
  Py_CLEAR(clear_module_state->__pyx_n_s_is_coroutine);
  Py_CLEAR(clear_module_state->__pyx_n_s_is_linelike);
  Py_CLEAR(clear_module_state->__pyx_n_s_is_linelike_locals_genexpr);
  Py_CLEAR(clear_module_state->__pyx_n_s_isclose);
  Py_CLEAR(clear_module_state->__pyx_kp_u_isenabled);
  Py_CLEAR(clear_module_state->__pyx_n_s_it);
  Py_CLEAR(clear_module_state->__pyx_n_s_key);
  Py_CLEAR(clear_module_state->__pyx_n_s_line);
  Py_CLEAR(clear_module_state->__pyx_n_s_line1);
  Py_CLEAR(clear_module_state->__pyx_n_s_line2);
  Py_CLEAR(clear_module_state->__pyx_n_s_lineLineIntersections);
  Py_CLEAR(clear_module_state->__pyx_n_u_lineLineIntersections);
  Py_CLEAR(clear_module_state->__pyx_kp_u_lineLineIntersections_line_1147);
  Py_CLEAR(clear_module_state->__pyx_n_s_linePointAtT);
  Py_CLEAR(clear_module_state->__pyx_n_u_linePointAtT);
  Py_CLEAR(clear_module_state->__pyx_n_s_line_t);
  Py_CLEAR(clear_module_state->__pyx_n_s_line_t_of_pt);
  Py_CLEAR(clear_module_state->__pyx_n_s_main);
  Py_CLEAR(clear_module_state->__pyx_n_u_main);
  Py_CLEAR(clear_module_state->__pyx_n_s_math);
  Py_CLEAR(clear_module_state->__pyx_n_s_maybeline);
  Py_CLEAR(clear_module_state->__pyx_n_s_mid);
  Py_CLEAR(clear_module_state->__pyx_n_s_midPt);
  Py_CLEAR(clear_module_state->__pyx_n_s_midpoint);
  Py_CLEAR(clear_module_state->__pyx_n_s_mult);
  Py_CLEAR(clear_module_state->__pyx_n_s_n);
  Py_CLEAR(clear_module_state->__pyx_n_s_name);
  Py_CLEAR(clear_module_state->__pyx_n_s_namedtuple);
  Py_CLEAR(clear_module_state->__pyx_n_s_obj);
  Py_CLEAR(clear_module_state->__pyx_n_s_off1);
  Py_CLEAR(clear_module_state->__pyx_n_s_off2);
  Py_CLEAR(clear_module_state->__pyx_n_s_one);
  Py_CLEAR(clear_module_state->__pyx_n_s_origDist);
  Py_CLEAR(clear_module_state->__pyx_n_s_origin);
  Py_CLEAR(clear_module_state->__pyx_n_s_p0);
  Py_CLEAR(clear_module_state->__pyx_n_s_p1);
  Py_CLEAR(clear_module_state->__pyx_n_s_p2);
  Py_CLEAR(clear_module_state->__pyx_n_s_p3);
  Py_CLEAR(clear_module_state->__pyx_n_s_pi);
  Py_CLEAR(clear_module_state->__pyx_n_s_pointAtT);
  Py_CLEAR(clear_module_state->__pyx_n_s_pointFinder);
  Py_CLEAR(clear_module_state->__pyx_n_s_points);
  Py_CLEAR(clear_module_state->__pyx_n_s_precision);
  Py_CLEAR(clear_module_state->__pyx_n_s_print);
  Py_CLEAR(clear_module_state->__pyx_n_s_printSegments);
  Py_CLEAR(clear_module_state->__pyx_n_s_pt);
  Py_CLEAR(clear_module_state->__pyx_n_u_pt);
  Py_CLEAR(clear_module_state->__pyx_n_s_pt1);
  Py_CLEAR(clear_module_state->__pyx_n_s_pt1x);
  Py_CLEAR(clear_module_state->__pyx_n_s_pt1y);
  Py_CLEAR(clear_module_state->__pyx_n_s_pt2);
  Py_CLEAR(clear_module_state->__pyx_n_s_pt2x);
  Py_CLEAR(clear_module_state->__pyx_n_s_pt2y);
  Py_CLEAR(clear_module_state->__pyx_n_s_pt3);
  Py_CLEAR(clear_module_state->__pyx_n_s_pt4);
  Py_CLEAR(clear_module_state->__pyx_n_s_px);
  Py_CLEAR(clear_module_state->__pyx_n_s_py);
  Py_CLEAR(clear_module_state->__pyx_n_s_quadraticPointAtT);
  Py_CLEAR(clear_module_state->__pyx_n_u_quadraticPointAtT);
  Py_CLEAR(clear_module_state->__pyx_n_s_r);
  Py_CLEAR(clear_module_state->__pyx_n_s_rDD);
  Py_CLEAR(clear_module_state->__pyx_n_s_rQ2);
  Py_CLEAR(clear_module_state->__pyx_n_s_range);
  Py_CLEAR(clear_module_state->__pyx_n_s_range1);
  Py_CLEAR(clear_module_state->__pyx_n_s_range2);
  Py_CLEAR(clear_module_state->__pyx_n_s_rectArea);
  Py_CLEAR(clear_module_state->__pyx_n_s_roots);
  Py_CLEAR(clear_module_state->__pyx_n_s_rotate);
  Py_CLEAR(clear_module_state->__pyx_n_s_round);
  Py_CLEAR(clear_module_state->__pyx_n_s_s);
  Py_CLEAR(clear_module_state->__pyx_n_s_s1);
  Py_CLEAR(clear_module_state->__pyx_n_s_s1x);
  Py_CLEAR(clear_module_state->__pyx_n_s_s1y);
  Py_CLEAR(clear_module_state->__pyx_n_s_s2);
  Py_CLEAR(clear_module_state->__pyx_n_s_s2x);
  Py_CLEAR(clear_module_state->__pyx_n_s_s2y);
  Py_CLEAR(clear_module_state->__pyx_kp_u_s_2);
  Py_CLEAR(clear_module_state->__pyx_n_s_scale);
  Py_CLEAR(clear_module_state->__pyx_n_s_sectRect);
  Py_CLEAR(clear_module_state->__pyx_n_s_seen);
  Py_CLEAR(clear_module_state->__pyx_n_s_seg);
  Py_CLEAR(clear_module_state->__pyx_n_s_seg1);
  Py_CLEAR(clear_module_state->__pyx_n_s_seg2);
  Py_CLEAR(clear_module_state->__pyx_n_s_segment);
  Py_CLEAR(clear_module_state->__pyx_n_s_segmentPointAtT);
  Py_CLEAR(clear_module_state->__pyx_n_u_segmentPointAtT);
  Py_CLEAR(clear_module_state->__pyx_n_s_segmentSegmentIntersections);
  Py_CLEAR(clear_module_state->__pyx_n_u_segmentSegmentIntersections);
  Py_CLEAR(clear_module_state->__pyx_kp_u_segmentSegmentIntersections_line);
  Py_CLEAR(clear_module_state->__pyx_n_s_segmentrepr);
  Py_CLEAR(clear_module_state->__pyx_kp_u_segmentrepr_1_2_3_2_3_4_0_1_2);
  Py_CLEAR(clear_module_state->__pyx_kp_u_segmentrepr_line_1465);
  Py_CLEAR(clear_module_state->__pyx_n_s_segmentrepr_locals_genexpr);
  Py_CLEAR(clear_module_state->__pyx_n_s_segments);
  Py_CLEAR(clear_module_state->__pyx_n_s_send);
  Py_CLEAR(clear_module_state->__pyx_n_s_slope12);
  Py_CLEAR(clear_module_state->__pyx_n_s_slope34);
  Py_CLEAR(clear_module_state->__pyx_n_s_solutions);
  Py_CLEAR(clear_module_state->__pyx_n_s_solveCubic);
  Py_CLEAR(clear_module_state->__pyx_n_u_solveCubic);
  Py_CLEAR(clear_module_state->__pyx_kp_u_solveCubic_line_841);
  Py_CLEAR(clear_module_state->__pyx_n_s_solveQuadratic);
  Py_CLEAR(clear_module_state->__pyx_n_u_solveQuadratic);
  Py_CLEAR(clear_module_state->__pyx_n_s_spec);
  Py_CLEAR(clear_module_state->__pyx_n_s_splitCubic);
  Py_CLEAR(clear_module_state->__pyx_n_u_splitCubic);
  Py_CLEAR(clear_module_state->__pyx_n_s_splitCubicAtT);
  Py_CLEAR(clear_module_state->__pyx_n_s_splitCubicAtTC);
  Py_CLEAR(clear_module_state->__pyx_n_u_splitCubicAtTC);
  Py_CLEAR(clear_module_state->__pyx_n_s_splitCubicAtTC_2);
  Py_CLEAR(clear_module_state->__pyx_n_s_splitCubicAtT_2);
  Py_CLEAR(clear_module_state->__pyx_n_u_splitCubicAtT_2);
  Py_CLEAR(clear_module_state->__pyx_kp_u_splitCubicAtT_line_613);
  Py_CLEAR(clear_module_state->__pyx_n_s_splitCubicIntoTwoAtTC);
  Py_CLEAR(clear_module_state->__pyx_n_u_splitCubicIntoTwoAtTC);
  Py_CLEAR(clear_module_state->__pyx_kp_u_splitCubic_line_552);
  Py_CLEAR(clear_module_state->__pyx_n_s_splitCubic_locals_genexpr);
  Py_CLEAR(clear_module_state->__pyx_n_s_splitLine);
  Py_CLEAR(clear_module_state->__pyx_n_u_splitLine);
  Py_CLEAR(clear_module_state->__pyx_kp_u_splitLine_line_450);
  Py_CLEAR(clear_module_state->__pyx_n_s_splitQuadratic);
  Py_CLEAR(clear_module_state->__pyx_n_u_splitQuadratic);
  Py_CLEAR(clear_module_state->__pyx_n_s_splitQuadraticAtT);
  Py_CLEAR(clear_module_state->__pyx_n_s_splitQuadraticAtT_2);
  Py_CLEAR(clear_module_state->__pyx_n_u_splitQuadraticAtT_2);
  Py_CLEAR(clear_module_state->__pyx_kp_u_splitQuadraticAtT_line_589);
  Py_CLEAR(clear_module_state->__pyx_kp_u_splitQuadratic_line_507);
  Py_CLEAR(clear_module_state->__pyx_n_s_splitQuadratic_locals_genexpr);
  Py_CLEAR(clear_module_state->__pyx_n_s_split_cubic_into_two);
  Py_CLEAR(clear_module_state->__pyx_n_s_split_segment_at_t);
  Py_CLEAR(clear_module_state->__pyx_n_s_sqrt);
  Py_CLEAR(clear_module_state->__pyx_n_s_start);
  Py_CLEAR(clear_module_state->__pyx_n_s_swapped);
  Py_CLEAR(clear_module_state->__pyx_n_s_sx);
  Py_CLEAR(clear_module_state->__pyx_n_s_sy);
  Py_CLEAR(clear_module_state->__pyx_n_s_sys);
  Py_CLEAR(clear_module_state->__pyx_n_s_t);
  Py_CLEAR(clear_module_state->__pyx_n_s_t1);
  Py_CLEAR(clear_module_state->__pyx_n_u_t1);
  Py_CLEAR(clear_module_state->__pyx_n_s_t1_2);
  Py_CLEAR(clear_module_state->__pyx_n_s_t1_3);
  Py_CLEAR(clear_module_state->__pyx_n_s_t2);
  Py_CLEAR(clear_module_state->__pyx_n_u_t2);
  Py_CLEAR(clear_module_state->__pyx_n_s_test);
  Py_CLEAR(clear_module_state->__pyx_n_s_testmod);
  Py_CLEAR(clear_module_state->__pyx_n_s_theta);
  Py_CLEAR(clear_module_state->__pyx_n_s_throw);
  Py_CLEAR(clear_module_state->__pyx_n_s_tolerance);
  Py_CLEAR(clear_module_state->__pyx_n_s_transformPoints);
  Py_CLEAR(clear_module_state->__pyx_n_s_translate);
  Py_CLEAR(clear_module_state->__pyx_n_s_ts);
  Py_CLEAR(clear_module_state->__pyx_n_s_two);
  Py_CLEAR(clear_module_state->__pyx_n_s_unique_key);
  Py_CLEAR(clear_module_state->__pyx_n_s_unique_values);
  Py_CLEAR(clear_module_state->__pyx_n_s_v0);
  Py_CLEAR(clear_module_state->__pyx_n_s_v1);
  Py_CLEAR(clear_module_state->__pyx_n_s_v2);
  Py_CLEAR(clear_module_state->__pyx_n_s_v3);
  Py_CLEAR(clear_module_state->__pyx_n_s_v4);
  Py_CLEAR(clear_module_state->__pyx_n_s_where);
  Py_CLEAR(clear_module_state->__pyx_n_s_x);
  Py_CLEAR(clear_module_state->__pyx_n_s_x0);
  Py_CLEAR(clear_module_state->__pyx_n_s_x1);
  Py_CLEAR(clear_module_state->__pyx_n_s_x2);
  Py_CLEAR(clear_module_state->__pyx_n_s_x3);
  Py_CLEAR(clear_module_state->__pyx_n_s_x4);
  Py_CLEAR(clear_module_state->__pyx_n_s_xDiff);
  Py_CLEAR(clear_module_state->__pyx_n_s_xRoots);
  Py_CLEAR(clear_module_state->__pyx_n_s_y);
  Py_CLEAR(clear_module_state->__pyx_n_s_y1);
  Py_CLEAR(clear_module_state->__pyx_n_s_y2);
  Py_CLEAR(clear_module_state->__pyx_n_s_y3);
  Py_CLEAR(clear_module_state->__pyx_n_s_y4);
  Py_CLEAR(clear_module_state->__pyx_n_s_yDiff);
  Py_CLEAR(clear_module_state->__pyx_n_s_yRoots);
  Py_CLEAR(clear_module_state->__pyx_float_0_0);
  Py_CLEAR(clear_module_state->__pyx_float_0_5);
  Py_CLEAR(clear_module_state->__pyx_float_1_0);
  Py_CLEAR(clear_module_state->__pyx_float_2_0);
  Py_CLEAR(clear_module_state->__pyx_float_3_0);
  Py_CLEAR(clear_module_state->__pyx_float_4_0);
  Py_CLEAR(clear_module_state->__pyx_float_9_0);
  Py_CLEAR(clear_module_state->__pyx_float_1eneg_3);
  Py_CLEAR(clear_module_state->__pyx_float_27_0);
  Py_CLEAR(clear_module_state->__pyx_float_54_0);
  Py_CLEAR(clear_module_state->__pyx_float_0_005);
  Py_CLEAR(clear_module_state->__pyx_float_0_125);
  Py_CLEAR(clear_module_state->__pyx_float_1eneg_10);
  Py_CLEAR(clear_module_state->__pyx_float_neg_2_0);
  Py_CLEAR(clear_module_state->__pyx_int_0);
  Py_CLEAR(clear_module_state->__pyx_int_1);
  Py_CLEAR(clear_module_state->__pyx_int_2);
  Py_CLEAR(clear_module_state->__pyx_int_3);
  Py_CLEAR(clear_module_state->__pyx_int_6);
  Py_CLEAR(clear_module_state->__pyx_int_neg_1);
  Py_CLEAR(clear_module_state->__pyx_codeobj_);
  Py_CLEAR(clear_module_state->__pyx_tuple__2);
  Py_CLEAR(clear_module_state->__pyx_tuple__4);
  Py_CLEAR(clear_module_state->__pyx_tuple__5);
  Py_CLEAR(clear_module_state->__pyx_tuple__6);
  Py_CLEAR(clear_module_state->__pyx_tuple__8);
  Py_CLEAR(clear_module_state->__pyx_tuple__12);
  Py_CLEAR(clear_module_state->__pyx_tuple__14);
  Py_CLEAR(clear_module_state->__pyx_tuple__15);
  Py_CLEAR(clear_module_state->__pyx_tuple__17);
  Py_CLEAR(clear_module_state->__pyx_tuple__19);
  Py_CLEAR(clear_module_state->__pyx_tuple__21);
  Py_CLEAR(clear_module_state->__pyx_tuple__23);
  Py_CLEAR(clear_module_state->__pyx_tuple__26);
  Py_CLEAR(clear_module_state->__pyx_tuple__28);
  Py_CLEAR(clear_module_state->__pyx_tuple__30);
  Py_CLEAR(clear_module_state->__pyx_tuple__32);
  Py_CLEAR(clear_module_state->__pyx_tuple__34);
  Py_CLEAR(clear_module_state->__pyx_tuple__36);
  Py_CLEAR(clear_module_state->__pyx_tuple__38);
  Py_CLEAR(clear_module_state->__pyx_tuple__40);
  Py_CLEAR(clear_module_state->__pyx_tuple__42);
  Py_CLEAR(clear_module_state->__pyx_tuple__44);
  Py_CLEAR(clear_module_state->__pyx_tuple__46);
  Py_CLEAR(clear_module_state->__pyx_tuple__48);
  Py_CLEAR(clear_module_state->__pyx_tuple__50);
  Py_CLEAR(clear_module_state->__pyx_tuple__52);
  Py_CLEAR(clear_module_state->__pyx_tuple__53);
  Py_CLEAR(clear_module_state->__pyx_tuple__55);
  Py_CLEAR(clear_module_state->__pyx_tuple__57);
  Py_CLEAR(clear_module_state->__pyx_tuple__59);
  Py_CLEAR(clear_module_state->__pyx_tuple__61);
  Py_CLEAR(clear_module_state->__pyx_tuple__63);
  Py_CLEAR(clear_module_state->__pyx_tuple__65);
  Py_CLEAR(clear_module_state->__pyx_tuple__67);
  Py_CLEAR(clear_module_state->__pyx_tuple__69);
  Py_CLEAR(clear_module_state->__pyx_tuple__71);
  Py_CLEAR(clear_module_state->__pyx_tuple__73);
  Py_CLEAR(clear_module_state->__pyx_tuple__75);
  Py_CLEAR(clear_module_state->__pyx_tuple__77);
  Py_CLEAR(clear_module_state->__pyx_tuple__79);
  Py_CLEAR(clear_module_state->__pyx_tuple__81);
  Py_CLEAR(clear_module_state->__pyx_tuple__83);
  Py_CLEAR(clear_module_state->__pyx_tuple__85);
  Py_CLEAR(clear_module_state->__pyx_tuple__87);
  Py_CLEAR(clear_module_state->__pyx_tuple__89);
  Py_CLEAR(clear_module_state->__pyx_tuple__92);
  Py_CLEAR(clear_module_state->__pyx_tuple__94);
  Py_CLEAR(clear_module_state->__pyx_tuple__95);
  Py_CLEAR(clear_module_state->__pyx_tuple__97);
  Py_CLEAR(clear_module_state->__pyx_tuple__99);
  Py_CLEAR(clear_module_state->__pyx_codeobj__3);
  Py_CLEAR(clear_module_state->__pyx_codeobj__7);
  Py_CLEAR(clear_module_state->__pyx_tuple__101);
  Py_CLEAR(clear_module_state->__pyx_tuple__103);
  Py_CLEAR(clear_module_state->__pyx_codeobj__13);
  Py_CLEAR(clear_module_state->__pyx_codeobj__16);
  Py_CLEAR(clear_module_state->__pyx_codeobj__18);
  Py_CLEAR(clear_module_state->__pyx_codeobj__20);
  Py_CLEAR(clear_module_state->__pyx_codeobj__22);
  Py_CLEAR(clear_module_state->__pyx_codeobj__24);
  Py_CLEAR(clear_module_state->__pyx_codeobj__25);
  Py_CLEAR(clear_module_state->__pyx_codeobj__27);
  Py_CLEAR(clear_module_state->__pyx_codeobj__29);
  Py_CLEAR(clear_module_state->__pyx_codeobj__31);
  Py_CLEAR(clear_module_state->__pyx_codeobj__33);
  Py_CLEAR(clear_module_state->__pyx_codeobj__35);
  Py_CLEAR(clear_module_state->__pyx_codeobj__37);
  Py_CLEAR(clear_module_state->__pyx_codeobj__39);
  Py_CLEAR(clear_module_state->__pyx_codeobj__41);
  Py_CLEAR(clear_module_state->__pyx_codeobj__43);
  Py_CLEAR(clear_module_state->__pyx_codeobj__45);
  Py_CLEAR(clear_module_state->__pyx_codeobj__47);
  Py_CLEAR(clear_module_state->__pyx_codeobj__49);
  Py_CLEAR(clear_module_state->__pyx_codeobj__51);
  Py_CLEAR(clear_module_state->__pyx_codeobj__54);
  Py_CLEAR(clear_module_state->__pyx_codeobj__56);
  Py_CLEAR(clear_module_state->__pyx_codeobj__58);
  Py_CLEAR(clear_module_state->__pyx_codeobj__60);
  Py_CLEAR(clear_module_state->__pyx_codeobj__62);
  Py_CLEAR(clear_module_state->__pyx_codeobj__64);
  Py_CLEAR(clear_module_state->__pyx_codeobj__66);
  Py_CLEAR(clear_module_state->__pyx_codeobj__68);
  Py_CLEAR(clear_module_state->__pyx_codeobj__70);
  Py_CLEAR(clear_module_state->__pyx_codeobj__72);
  Py_CLEAR(clear_module_state->__pyx_codeobj__74);
  Py_CLEAR(clear_module_state->__pyx_codeobj__76);
  Py_CLEAR(clear_module_state->__pyx_codeobj__78);
  Py_CLEAR(clear_module_state->__pyx_codeobj__80);
  Py_CLEAR(clear_module_state->__pyx_codeobj__82);
  Py_CLEAR(clear_module_state->__pyx_codeobj__84);
  Py_CLEAR(clear_module_state->__pyx_codeobj__86);
  Py_CLEAR(clear_module_state->__pyx_codeobj__88);
  Py_CLEAR(clear_module_state->__pyx_codeobj__90);
  Py_CLEAR(clear_module_state->__pyx_codeobj__93);
  Py_CLEAR(clear_module_state->__pyx_codeobj__96);
  Py_CLEAR(clear_module_state->__pyx_codeobj__98);
  Py_CLEAR(clear_module_state->__pyx_codeobj__100);
  Py_CLEAR(clear_module_state->__pyx_codeobj__102);
  Py_CLEAR(clear_module_state->__pyx_codeobj__104);
  return 0;
}
#endif
/* #### Code section: module_state_traverse ### */
#if CYTHON_USE_MODULE_STATE
static int __pyx_m_traverse(PyObject *m, visitproc visit, void *arg) {
  __pyx_mstate *traverse_module_state = __pyx_mstate(m);
  if (!traverse_module_state) return 0;
  Py_VISIT(traverse_module_state->__pyx_d);
  Py_VISIT(traverse_module_state->__pyx_b);
  Py_VISIT(traverse_module_state->__pyx_cython_runtime);
  Py_VISIT(traverse_module_state->__pyx_empty_tuple);
  Py_VISIT(traverse_module_state->__pyx_empty_bytes);
  Py_VISIT(traverse_module_state->__pyx_empty_unicode);
  #ifdef __Pyx_CyFunction_USED
  Py_VISIT(traverse_module_state->__pyx_CyFunctionType);
  #endif
  #ifdef __Pyx_FusedFunction_USED
  Py_VISIT(traverse_module_state->__pyx_FusedFunctionType);
  #endif
  Py_VISIT(traverse_module_state->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr);
  Py_VISIT(traverse_module_state->__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr);
  Py_VISIT(traverse_module_state->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr);
  Py_VISIT(traverse_module_state->__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr);
  Py_VISIT(traverse_module_state->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC);
  Py_VISIT(traverse_module_state->__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC);
  Py_VISIT(traverse_module_state->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC);
  Py_VISIT(traverse_module_state->__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC);
  Py_VISIT(traverse_module_state->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr);
  Py_VISIT(traverse_module_state->__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr);
  Py_VISIT(traverse_module_state->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t);
  Py_VISIT(traverse_module_state->__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t);
  Py_VISIT(traverse_module_state->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr);
  Py_VISIT(traverse_module_state->__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr);
  Py_VISIT(traverse_module_state->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr);
  Py_VISIT(traverse_module_state->__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr);
  Py_VISIT(traverse_module_state->__pyx_n_s_1_t);
  Py_VISIT(traverse_module_state->__pyx_n_s_1_t_2);
  Py_VISIT(traverse_module_state->__pyx_n_s_2_t_1_t);
  Py_VISIT(traverse_module_state->__pyx_kp_u_Approximates_the_arc_length_for);
  Py_VISIT(traverse_module_state->__pyx_n_s_AttributeError);
  Py_VISIT(traverse_module_state->__pyx_n_s_COMPILED);
  Py_VISIT(traverse_module_state->__pyx_kp_u_Calculates_the_arc_length_for_a);
  Py_VISIT(traverse_module_state->__pyx_kp_u_Calculates_the_bounding_rectangl);
  Py_VISIT(traverse_module_state->__pyx_kp_u_Calculates_the_bounding_rectangl_2);
  Py_VISIT(traverse_module_state->__pyx_kp_u_Couldn_t_work_out_which_intersec);
  Py_VISIT(traverse_module_state->__pyx_n_s_DD);
  Py_VISIT(traverse_module_state->__pyx_kp_u_Finds_intersections_between_a_cu);
  Py_VISIT(traverse_module_state->__pyx_kp_u_Finds_intersections_between_a_cu_2);
  Py_VISIT(traverse_module_state->__pyx_kp_u_Finds_intersections_between_two);
  Py_VISIT(traverse_module_state->__pyx_kp_u_Finds_intersections_between_two_2);
  Py_VISIT(traverse_module_state->__pyx_n_s_Identity);
  Py_VISIT(traverse_module_state->__pyx_n_s_ImportError);
  Py_VISIT(traverse_module_state->__pyx_n_s_Intersection);
  Py_VISIT(traverse_module_state->__pyx_n_u_Intersection);
  Py_VISIT(traverse_module_state->__pyx_n_s_Len);
  Py_VISIT(traverse_module_state->__pyx_kp_s_Lib_fontTools_misc_bezierTools_p);
  Py_VISIT(traverse_module_state->__pyx_n_s_Q);
  Py_VISIT(traverse_module_state->__pyx_n_s_Q3);
  Py_VISIT(traverse_module_state->__pyx_n_s_R);
  Py_VISIT(traverse_module_state->__pyx_n_s_R2);
  Py_VISIT(traverse_module_state->__pyx_n_s_R2_Q3);
  Py_VISIT(traverse_module_state->__pyx_kp_u_Solve_a_cubic_equation_Solves_a);
  Py_VISIT(traverse_module_state->__pyx_kp_u_Split_a_cubic_Bezier_curve_at_a);
  Py_VISIT(traverse_module_state->__pyx_kp_u_Split_a_cubic_Bezier_curve_at_on);
  Py_VISIT(traverse_module_state->__pyx_kp_u_Split_a_line_at_a_given_coordina);
  Py_VISIT(traverse_module_state->__pyx_kp_u_Split_a_quadratic_Bezier_curve_a);
  Py_VISIT(traverse_module_state->__pyx_kp_u_Split_a_quadratic_Bezier_curve_a_2);
  Py_VISIT(traverse_module_state->__pyx_n_s_TypeError);
  Py_VISIT(traverse_module_state->__pyx_kp_u_Unknown_curve_degree);
  Py_VISIT(traverse_module_state->__pyx_n_s_ValueError);
  Py_VISIT(traverse_module_state->__pyx_kp_u__10);
  Py_VISIT(traverse_module_state->__pyx_n_s__105);
  Py_VISIT(traverse_module_state->__pyx_n_s__11);
  Py_VISIT(traverse_module_state->__pyx_kp_u__9);
  Py_VISIT(traverse_module_state->__pyx_n_s__91);
  Py_VISIT(traverse_module_state->__pyx_n_s_a);
  Py_VISIT(traverse_module_state->__pyx_n_s_a1);
  Py_VISIT(traverse_module_state->__pyx_n_s_a1_3);
  Py_VISIT(traverse_module_state->__pyx_n_s_a1x);
  Py_VISIT(traverse_module_state->__pyx_n_s_a1y);
  Py_VISIT(traverse_module_state->__pyx_n_s_a2);
  Py_VISIT(traverse_module_state->__pyx_n_s_a3);
  Py_VISIT(traverse_module_state->__pyx_n_s_acos);
  Py_VISIT(traverse_module_state->__pyx_n_s_aligned_curve);
  Py_VISIT(traverse_module_state->__pyx_n_s_alignment_transformation);
  Py_VISIT(traverse_module_state->__pyx_n_s_all);
  Py_VISIT(traverse_module_state->__pyx_n_s_angle);
  Py_VISIT(traverse_module_state->__pyx_n_s_append);
  Py_VISIT(traverse_module_state->__pyx_n_s_approximateCubicArcLength);
  Py_VISIT(traverse_module_state->__pyx_n_u_approximateCubicArcLength);
  Py_VISIT(traverse_module_state->__pyx_n_s_approximateCubicArcLengthC);
  Py_VISIT(traverse_module_state->__pyx_n_u_approximateCubicArcLengthC);
  Py_VISIT(traverse_module_state->__pyx_kp_u_approximateCubicArcLength_line_3);
  Py_VISIT(traverse_module_state->__pyx_n_s_approximateQuadraticArcLength);
  Py_VISIT(traverse_module_state->__pyx_n_u_approximateQuadraticArcLength);
  Py_VISIT(traverse_module_state->__pyx_n_s_approximateQuadraticArcLengthC);
  Py_VISIT(traverse_module_state->__pyx_n_u_approximateQuadraticArcLengthC);
  Py_VISIT(traverse_module_state->__pyx_n_s_arch);
  Py_VISIT(traverse_module_state->__pyx_n_s_args);
  Py_VISIT(traverse_module_state->__pyx_n_s_asinh);
  Py_VISIT(traverse_module_state->__pyx_n_s_asyncio_coroutines);
  Py_VISIT(traverse_module_state->__pyx_n_s_atan2);
  Py_VISIT(traverse_module_state->__pyx_n_s_ax);
  Py_VISIT(traverse_module_state->__pyx_n_s_ax2);
  Py_VISIT(traverse_module_state->__pyx_n_s_ax3);
  Py_VISIT(traverse_module_state->__pyx_n_s_ay);
  Py_VISIT(traverse_module_state->__pyx_n_s_ay2);
  Py_VISIT(traverse_module_state->__pyx_n_s_ay3);
  Py_VISIT(traverse_module_state->__pyx_n_s_b);
  Py_VISIT(traverse_module_state->__pyx_n_s_b1);
  Py_VISIT(traverse_module_state->__pyx_n_s_b1x);
  Py_VISIT(traverse_module_state->__pyx_n_s_b1y);
  Py_VISIT(traverse_module_state->__pyx_n_s_both_points_are_on_same_side_of);
  Py_VISIT(traverse_module_state->__pyx_n_s_bounds1);
  Py_VISIT(traverse_module_state->__pyx_n_s_bounds2);
  Py_VISIT(traverse_module_state->__pyx_n_s_box);
  Py_VISIT(traverse_module_state->__pyx_n_s_bx);
  Py_VISIT(traverse_module_state->__pyx_n_s_bx2);
  Py_VISIT(traverse_module_state->__pyx_n_s_by);
  Py_VISIT(traverse_module_state->__pyx_n_s_by2);
  Py_VISIT(traverse_module_state->__pyx_n_s_c);
  Py_VISIT(traverse_module_state->__pyx_n_s_c1);
  Py_VISIT(traverse_module_state->__pyx_n_s_c11);
  Py_VISIT(traverse_module_state->__pyx_n_s_c11_range);
  Py_VISIT(traverse_module_state->__pyx_n_s_c12);
  Py_VISIT(traverse_module_state->__pyx_n_s_c12_range);
  Py_VISIT(traverse_module_state->__pyx_n_s_c1x);
  Py_VISIT(traverse_module_state->__pyx_n_s_c1y);
  Py_VISIT(traverse_module_state->__pyx_n_s_c21);
  Py_VISIT(traverse_module_state->__pyx_n_s_c21_range);
  Py_VISIT(traverse_module_state->__pyx_n_s_c22);
  Py_VISIT(traverse_module_state->__pyx_n_s_c22_range);
  Py_VISIT(traverse_module_state->__pyx_n_s_calcBounds);
  Py_VISIT(traverse_module_state->__pyx_n_s_calcCubicArcLength);
  Py_VISIT(traverse_module_state->__pyx_n_u_calcCubicArcLength);
  Py_VISIT(traverse_module_state->__pyx_n_s_calcCubicArcLengthC);
  Py_VISIT(traverse_module_state->__pyx_n_u_calcCubicArcLengthC);
  Py_VISIT(traverse_module_state->__pyx_n_s_calcCubicArcLengthCRecurse);
  Py_VISIT(traverse_module_state->__pyx_n_s_calcCubicBounds);
  Py_VISIT(traverse_module_state->__pyx_n_u_calcCubicBounds);
  Py_VISIT(traverse_module_state->__pyx_kp_u_calcCubicBounds_line_412);
  Py_VISIT(traverse_module_state->__pyx_n_s_calcCubicParameters);
  Py_VISIT(traverse_module_state->__pyx_n_s_calcCubicPoints);
  Py_VISIT(traverse_module_state->__pyx_n_s_calcQuadraticArcLength);
  Py_VISIT(traverse_module_state->__pyx_n_u_calcQuadraticArcLength);
  Py_VISIT(traverse_module_state->__pyx_n_s_calcQuadraticArcLengthC);
  Py_VISIT(traverse_module_state->__pyx_n_u_calcQuadraticArcLengthC);
  Py_VISIT(traverse_module_state->__pyx_kp_u_calcQuadraticArcLength_line_151);
  Py_VISIT(traverse_module_state->__pyx_n_s_calcQuadraticBounds);
  Py_VISIT(traverse_module_state->__pyx_n_u_calcQuadraticBounds);
  Py_VISIT(traverse_module_state->__pyx_kp_u_calcQuadraticBounds_line_298);
  Py_VISIT(traverse_module_state->__pyx_n_s_calcQuadraticParameters);
  Py_VISIT(traverse_module_state->__pyx_n_s_calcQuadraticPoints);
  Py_VISIT(traverse_module_state->__pyx_n_s_class_getitem);
  Py_VISIT(traverse_module_state->__pyx_n_s_cline_in_traceback);
  Py_VISIT(traverse_module_state->__pyx_n_s_close);
  Py_VISIT(traverse_module_state->__pyx_n_s_collections);
  Py_VISIT(traverse_module_state->__pyx_n_s_cos);
  Py_VISIT(traverse_module_state->__pyx_n_s_cubicPointAtT);
  Py_VISIT(traverse_module_state->__pyx_n_u_cubicPointAtT);
  Py_VISIT(traverse_module_state->__pyx_n_s_cubicPointAtTC);
  Py_VISIT(traverse_module_state->__pyx_n_u_cubicPointAtTC);
  Py_VISIT(traverse_module_state->__pyx_n_s_curve);
  Py_VISIT(traverse_module_state->__pyx_n_s_curve1);
  Py_VISIT(traverse_module_state->__pyx_n_s_curve2);
  Py_VISIT(traverse_module_state->__pyx_n_s_curveCurveIntersections);
  Py_VISIT(traverse_module_state->__pyx_n_u_curveCurveIntersections);
  Py_VISIT(traverse_module_state->__pyx_kp_u_curveCurveIntersections_line_137);
  Py_VISIT(traverse_module_state->__pyx_n_s_curveLineIntersections);
  Py_VISIT(traverse_module_state->__pyx_n_u_curveLineIntersections);
  Py_VISIT(traverse_module_state->__pyx_kp_u_curveLineIntersections_line_1248);
  Py_VISIT(traverse_module_state->__pyx_n_s_curve_bounds);
  Py_VISIT(traverse_module_state->__pyx_n_s_curve_curve_intersections_t);
  Py_VISIT(traverse_module_state->__pyx_n_s_curve_curve_intersections_t_loc);
  Py_VISIT(traverse_module_state->__pyx_n_s_curve_curve_intersections_t_loc_2);
  Py_VISIT(traverse_module_state->__pyx_n_s_curve_line_intersections_t);
  Py_VISIT(traverse_module_state->__pyx_n_s_curve_line_intersections_t_loca);
  Py_VISIT(traverse_module_state->__pyx_n_s_cx);
  Py_VISIT(traverse_module_state->__pyx_n_s_cy);
  Py_VISIT(traverse_module_state->__pyx_n_s_cython);
  Py_VISIT(traverse_module_state->__pyx_n_s_d);
  Py_VISIT(traverse_module_state->__pyx_n_s_d0);
  Py_VISIT(traverse_module_state->__pyx_n_s_d1);
  Py_VISIT(traverse_module_state->__pyx_n_s_d1x);
  Py_VISIT(traverse_module_state->__pyx_n_s_d1y);
  Py_VISIT(traverse_module_state->__pyx_n_s_delta);
  Py_VISIT(traverse_module_state->__pyx_n_s_delta_2);
  Py_VISIT(traverse_module_state->__pyx_n_s_delta_3);
  Py_VISIT(traverse_module_state->__pyx_n_s_deriv3);
  Py_VISIT(traverse_module_state->__pyx_kp_u_disable);
  Py_VISIT(traverse_module_state->__pyx_n_s_doctest);
  Py_VISIT(traverse_module_state->__pyx_n_s_dx);
  Py_VISIT(traverse_module_state->__pyx_n_s_dy);
  Py_VISIT(traverse_module_state->__pyx_n_s_e);
  Py_VISIT(traverse_module_state->__pyx_n_s_e1);
  Py_VISIT(traverse_module_state->__pyx_n_s_e1x);
  Py_VISIT(traverse_module_state->__pyx_n_s_e1y);
  Py_VISIT(traverse_module_state->__pyx_n_s_e2);
  Py_VISIT(traverse_module_state->__pyx_n_s_e2x);
  Py_VISIT(traverse_module_state->__pyx_n_s_e2y);
  Py_VISIT(traverse_module_state->__pyx_kp_u_enable);
  Py_VISIT(traverse_module_state->__pyx_n_s_end);
  Py_VISIT(traverse_module_state->__pyx_n_s_epsilon);
  Py_VISIT(traverse_module_state->__pyx_n_s_epsilonDigits);
  Py_VISIT(traverse_module_state->__pyx_n_s_ex);
  Py_VISIT(traverse_module_state->__pyx_n_s_exit);
  Py_VISIT(traverse_module_state->__pyx_n_s_ey);
  Py_VISIT(traverse_module_state->__pyx_n_s_failed);
  Py_VISIT(traverse_module_state->__pyx_n_s_fontTools_misc);
  Py_VISIT(traverse_module_state->__pyx_n_s_fontTools_misc_arrayTools);
  Py_VISIT(traverse_module_state->__pyx_n_s_fontTools_misc_bezierTools);
  Py_VISIT(traverse_module_state->__pyx_n_s_fontTools_misc_transform);
  Py_VISIT(traverse_module_state->__pyx_n_s_found);
  Py_VISIT(traverse_module_state->__pyx_kp_u_g);
  Py_VISIT(traverse_module_state->__pyx_kp_u_gc);
  Py_VISIT(traverse_module_state->__pyx_n_s_genexpr);
  Py_VISIT(traverse_module_state->__pyx_n_s_i);
  Py_VISIT(traverse_module_state->__pyx_n_s_import);
  Py_VISIT(traverse_module_state->__pyx_n_s_initializing);
  Py_VISIT(traverse_module_state->__pyx_n_s_insert);
  Py_VISIT(traverse_module_state->__pyx_n_s_intersection_ts);
  Py_VISIT(traverse_module_state->__pyx_n_s_intersections);
  Py_VISIT(traverse_module_state->__pyx_n_s_intersects);
  Py_VISIT(traverse_module_state->__pyx_n_s_isHorizontal);
  Py_VISIT(traverse_module_state->__pyx_n_s_is_coroutine);
  Py_VISIT(traverse_module_state->__pyx_n_s_is_linelike);
  Py_VISIT(traverse_module_state->__pyx_n_s_is_linelike_locals_genexpr);
  Py_VISIT(traverse_module_state->__pyx_n_s_isclose);
  Py_VISIT(traverse_module_state->__pyx_kp_u_isenabled);
  Py_VISIT(traverse_module_state->__pyx_n_s_it);
  Py_VISIT(traverse_module_state->__pyx_n_s_key);
  Py_VISIT(traverse_module_state->__pyx_n_s_line);
  Py_VISIT(traverse_module_state->__pyx_n_s_line1);
  Py_VISIT(traverse_module_state->__pyx_n_s_line2);
  Py_VISIT(traverse_module_state->__pyx_n_s_lineLineIntersections);
  Py_VISIT(traverse_module_state->__pyx_n_u_lineLineIntersections);
  Py_VISIT(traverse_module_state->__pyx_kp_u_lineLineIntersections_line_1147);
  Py_VISIT(traverse_module_state->__pyx_n_s_linePointAtT);
  Py_VISIT(traverse_module_state->__pyx_n_u_linePointAtT);
  Py_VISIT(traverse_module_state->__pyx_n_s_line_t);
  Py_VISIT(traverse_module_state->__pyx_n_s_line_t_of_pt);
  Py_VISIT(traverse_module_state->__pyx_n_s_main);
  Py_VISIT(traverse_module_state->__pyx_n_u_main);
  Py_VISIT(traverse_module_state->__pyx_n_s_math);
  Py_VISIT(traverse_module_state->__pyx_n_s_maybeline);
  Py_VISIT(traverse_module_state->__pyx_n_s_mid);
  Py_VISIT(traverse_module_state->__pyx_n_s_midPt);
  Py_VISIT(traverse_module_state->__pyx_n_s_midpoint);
  Py_VISIT(traverse_module_state->__pyx_n_s_mult);
  Py_VISIT(traverse_module_state->__pyx_n_s_n);
  Py_VISIT(traverse_module_state->__pyx_n_s_name);
  Py_VISIT(traverse_module_state->__pyx_n_s_namedtuple);
  Py_VISIT(traverse_module_state->__pyx_n_s_obj);
  Py_VISIT(traverse_module_state->__pyx_n_s_off1);
  Py_VISIT(traverse_module_state->__pyx_n_s_off2);
  Py_VISIT(traverse_module_state->__pyx_n_s_one);
  Py_VISIT(traverse_module_state->__pyx_n_s_origDist);
  Py_VISIT(traverse_module_state->__pyx_n_s_origin);
  Py_VISIT(traverse_module_state->__pyx_n_s_p0);
  Py_VISIT(traverse_module_state->__pyx_n_s_p1);
  Py_VISIT(traverse_module_state->__pyx_n_s_p2);
  Py_VISIT(traverse_module_state->__pyx_n_s_p3);
  Py_VISIT(traverse_module_state->__pyx_n_s_pi);
  Py_VISIT(traverse_module_state->__pyx_n_s_pointAtT);
  Py_VISIT(traverse_module_state->__pyx_n_s_pointFinder);
  Py_VISIT(traverse_module_state->__pyx_n_s_points);
  Py_VISIT(traverse_module_state->__pyx_n_s_precision);
  Py_VISIT(traverse_module_state->__pyx_n_s_print);
  Py_VISIT(traverse_module_state->__pyx_n_s_printSegments);
  Py_VISIT(traverse_module_state->__pyx_n_s_pt);
  Py_VISIT(traverse_module_state->__pyx_n_u_pt);
  Py_VISIT(traverse_module_state->__pyx_n_s_pt1);
  Py_VISIT(traverse_module_state->__pyx_n_s_pt1x);
  Py_VISIT(traverse_module_state->__pyx_n_s_pt1y);
  Py_VISIT(traverse_module_state->__pyx_n_s_pt2);
  Py_VISIT(traverse_module_state->__pyx_n_s_pt2x);
  Py_VISIT(traverse_module_state->__pyx_n_s_pt2y);
  Py_VISIT(traverse_module_state->__pyx_n_s_pt3);
  Py_VISIT(traverse_module_state->__pyx_n_s_pt4);
  Py_VISIT(traverse_module_state->__pyx_n_s_px);
  Py_VISIT(traverse_module_state->__pyx_n_s_py);
  Py_VISIT(traverse_module_state->__pyx_n_s_quadraticPointAtT);
  Py_VISIT(traverse_module_state->__pyx_n_u_quadraticPointAtT);
  Py_VISIT(traverse_module_state->__pyx_n_s_r);
  Py_VISIT(traverse_module_state->__pyx_n_s_rDD);
  Py_VISIT(traverse_module_state->__pyx_n_s_rQ2);
  Py_VISIT(traverse_module_state->__pyx_n_s_range);
  Py_VISIT(traverse_module_state->__pyx_n_s_range1);
  Py_VISIT(traverse_module_state->__pyx_n_s_range2);
  Py_VISIT(traverse_module_state->__pyx_n_s_rectArea);
  Py_VISIT(traverse_module_state->__pyx_n_s_roots);
  Py_VISIT(traverse_module_state->__pyx_n_s_rotate);
  Py_VISIT(traverse_module_state->__pyx_n_s_round);
  Py_VISIT(traverse_module_state->__pyx_n_s_s);
  Py_VISIT(traverse_module_state->__pyx_n_s_s1);
  Py_VISIT(traverse_module_state->__pyx_n_s_s1x);
  Py_VISIT(traverse_module_state->__pyx_n_s_s1y);
  Py_VISIT(traverse_module_state->__pyx_n_s_s2);
  Py_VISIT(traverse_module_state->__pyx_n_s_s2x);
  Py_VISIT(traverse_module_state->__pyx_n_s_s2y);
  Py_VISIT(traverse_module_state->__pyx_kp_u_s_2);
  Py_VISIT(traverse_module_state->__pyx_n_s_scale);
  Py_VISIT(traverse_module_state->__pyx_n_s_sectRect);
  Py_VISIT(traverse_module_state->__pyx_n_s_seen);
  Py_VISIT(traverse_module_state->__pyx_n_s_seg);
  Py_VISIT(traverse_module_state->__pyx_n_s_seg1);
  Py_VISIT(traverse_module_state->__pyx_n_s_seg2);
  Py_VISIT(traverse_module_state->__pyx_n_s_segment);
  Py_VISIT(traverse_module_state->__pyx_n_s_segmentPointAtT);
  Py_VISIT(traverse_module_state->__pyx_n_u_segmentPointAtT);
  Py_VISIT(traverse_module_state->__pyx_n_s_segmentSegmentIntersections);
  Py_VISIT(traverse_module_state->__pyx_n_u_segmentSegmentIntersections);
  Py_VISIT(traverse_module_state->__pyx_kp_u_segmentSegmentIntersections_line);
  Py_VISIT(traverse_module_state->__pyx_n_s_segmentrepr);
  Py_VISIT(traverse_module_state->__pyx_kp_u_segmentrepr_1_2_3_2_3_4_0_1_2);
  Py_VISIT(traverse_module_state->__pyx_kp_u_segmentrepr_line_1465);
  Py_VISIT(traverse_module_state->__pyx_n_s_segmentrepr_locals_genexpr);
  Py_VISIT(traverse_module_state->__pyx_n_s_segments);
  Py_VISIT(traverse_module_state->__pyx_n_s_send);
  Py_VISIT(traverse_module_state->__pyx_n_s_slope12);
  Py_VISIT(traverse_module_state->__pyx_n_s_slope34);
  Py_VISIT(traverse_module_state->__pyx_n_s_solutions);
  Py_VISIT(traverse_module_state->__pyx_n_s_solveCubic);
  Py_VISIT(traverse_module_state->__pyx_n_u_solveCubic);
  Py_VISIT(traverse_module_state->__pyx_kp_u_solveCubic_line_841);
  Py_VISIT(traverse_module_state->__pyx_n_s_solveQuadratic);
  Py_VISIT(traverse_module_state->__pyx_n_u_solveQuadratic);
  Py_VISIT(traverse_module_state->__pyx_n_s_spec);
  Py_VISIT(traverse_module_state->__pyx_n_s_splitCubic);
  Py_VISIT(traverse_module_state->__pyx_n_u_splitCubic);
  Py_VISIT(traverse_module_state->__pyx_n_s_splitCubicAtT);
  Py_VISIT(traverse_module_state->__pyx_n_s_splitCubicAtTC);
  Py_VISIT(traverse_module_state->__pyx_n_u_splitCubicAtTC);
  Py_VISIT(traverse_module_state->__pyx_n_s_splitCubicAtTC_2);
  Py_VISIT(traverse_module_state->__pyx_n_s_splitCubicAtT_2);
  Py_VISIT(traverse_module_state->__pyx_n_u_splitCubicAtT_2);
  Py_VISIT(traverse_module_state->__pyx_kp_u_splitCubicAtT_line_613);
  Py_VISIT(traverse_module_state->__pyx_n_s_splitCubicIntoTwoAtTC);
  Py_VISIT(traverse_module_state->__pyx_n_u_splitCubicIntoTwoAtTC);
  Py_VISIT(traverse_module_state->__pyx_kp_u_splitCubic_line_552);
  Py_VISIT(traverse_module_state->__pyx_n_s_splitCubic_locals_genexpr);
  Py_VISIT(traverse_module_state->__pyx_n_s_splitLine);
  Py_VISIT(traverse_module_state->__pyx_n_u_splitLine);
  Py_VISIT(traverse_module_state->__pyx_kp_u_splitLine_line_450);
  Py_VISIT(traverse_module_state->__pyx_n_s_splitQuadratic);
  Py_VISIT(traverse_module_state->__pyx_n_u_splitQuadratic);
  Py_VISIT(traverse_module_state->__pyx_n_s_splitQuadraticAtT);
  Py_VISIT(traverse_module_state->__pyx_n_s_splitQuadraticAtT_2);
  Py_VISIT(traverse_module_state->__pyx_n_u_splitQuadraticAtT_2);
  Py_VISIT(traverse_module_state->__pyx_kp_u_splitQuadraticAtT_line_589);
  Py_VISIT(traverse_module_state->__pyx_kp_u_splitQuadratic_line_507);
  Py_VISIT(traverse_module_state->__pyx_n_s_splitQuadratic_locals_genexpr);
  Py_VISIT(traverse_module_state->__pyx_n_s_split_cubic_into_two);
  Py_VISIT(traverse_module_state->__pyx_n_s_split_segment_at_t);
  Py_VISIT(traverse_module_state->__pyx_n_s_sqrt);
  Py_VISIT(traverse_module_state->__pyx_n_s_start);
  Py_VISIT(traverse_module_state->__pyx_n_s_swapped);
  Py_VISIT(traverse_module_state->__pyx_n_s_sx);
  Py_VISIT(traverse_module_state->__pyx_n_s_sy);
  Py_VISIT(traverse_module_state->__pyx_n_s_sys);
  Py_VISIT(traverse_module_state->__pyx_n_s_t);
  Py_VISIT(traverse_module_state->__pyx_n_s_t1);
  Py_VISIT(traverse_module_state->__pyx_n_u_t1);
  Py_VISIT(traverse_module_state->__pyx_n_s_t1_2);
  Py_VISIT(traverse_module_state->__pyx_n_s_t1_3);
  Py_VISIT(traverse_module_state->__pyx_n_s_t2);
  Py_VISIT(traverse_module_state->__pyx_n_u_t2);
  Py_VISIT(traverse_module_state->__pyx_n_s_test);
  Py_VISIT(traverse_module_state->__pyx_n_s_testmod);
  Py_VISIT(traverse_module_state->__pyx_n_s_theta);
  Py_VISIT(traverse_module_state->__pyx_n_s_throw);
  Py_VISIT(traverse_module_state->__pyx_n_s_tolerance);
  Py_VISIT(traverse_module_state->__pyx_n_s_transformPoints);
  Py_VISIT(traverse_module_state->__pyx_n_s_translate);
  Py_VISIT(traverse_module_state->__pyx_n_s_ts);
  Py_VISIT(traverse_module_state->__pyx_n_s_two);
  Py_VISIT(traverse_module_state->__pyx_n_s_unique_key);
  Py_VISIT(traverse_module_state->__pyx_n_s_unique_values);
  Py_VISIT(traverse_module_state->__pyx_n_s_v0);
  Py_VISIT(traverse_module_state->__pyx_n_s_v1);
  Py_VISIT(traverse_module_state->__pyx_n_s_v2);
  Py_VISIT(traverse_module_state->__pyx_n_s_v3);
  Py_VISIT(traverse_module_state->__pyx_n_s_v4);
  Py_VISIT(traverse_module_state->__pyx_n_s_where);
  Py_VISIT(traverse_module_state->__pyx_n_s_x);
  Py_VISIT(traverse_module_state->__pyx_n_s_x0);
  Py_VISIT(traverse_module_state->__pyx_n_s_x1);
  Py_VISIT(traverse_module_state->__pyx_n_s_x2);
  Py_VISIT(traverse_module_state->__pyx_n_s_x3);
  Py_VISIT(traverse_module_state->__pyx_n_s_x4);
  Py_VISIT(traverse_module_state->__pyx_n_s_xDiff);
  Py_VISIT(traverse_module_state->__pyx_n_s_xRoots);
  Py_VISIT(traverse_module_state->__pyx_n_s_y);
  Py_VISIT(traverse_module_state->__pyx_n_s_y1);
  Py_VISIT(traverse_module_state->__pyx_n_s_y2);
  Py_VISIT(traverse_module_state->__pyx_n_s_y3);
  Py_VISIT(traverse_module_state->__pyx_n_s_y4);
  Py_VISIT(traverse_module_state->__pyx_n_s_yDiff);
  Py_VISIT(traverse_module_state->__pyx_n_s_yRoots);
  Py_VISIT(traverse_module_state->__pyx_float_0_0);
  Py_VISIT(traverse_module_state->__pyx_float_0_5);
  Py_VISIT(traverse_module_state->__pyx_float_1_0);
  Py_VISIT(traverse_module_state->__pyx_float_2_0);
  Py_VISIT(traverse_module_state->__pyx_float_3_0);
  Py_VISIT(traverse_module_state->__pyx_float_4_0);
  Py_VISIT(traverse_module_state->__pyx_float_9_0);
  Py_VISIT(traverse_module_state->__pyx_float_1eneg_3);
  Py_VISIT(traverse_module_state->__pyx_float_27_0);
  Py_VISIT(traverse_module_state->__pyx_float_54_0);
  Py_VISIT(traverse_module_state->__pyx_float_0_005);
  Py_VISIT(traverse_module_state->__pyx_float_0_125);
  Py_VISIT(traverse_module_state->__pyx_float_1eneg_10);
  Py_VISIT(traverse_module_state->__pyx_float_neg_2_0);
  Py_VISIT(traverse_module_state->__pyx_int_0);
  Py_VISIT(traverse_module_state->__pyx_int_1);
  Py_VISIT(traverse_module_state->__pyx_int_2);
  Py_VISIT(traverse_module_state->__pyx_int_3);
  Py_VISIT(traverse_module_state->__pyx_int_6);
  Py_VISIT(traverse_module_state->__pyx_int_neg_1);
  Py_VISIT(traverse_module_state->__pyx_codeobj_);
  Py_VISIT(traverse_module_state->__pyx_tuple__2);
  Py_VISIT(traverse_module_state->__pyx_tuple__4);
  Py_VISIT(traverse_module_state->__pyx_tuple__5);
  Py_VISIT(traverse_module_state->__pyx_tuple__6);
  Py_VISIT(traverse_module_state->__pyx_tuple__8);
  Py_VISIT(traverse_module_state->__pyx_tuple__12);
  Py_VISIT(traverse_module_state->__pyx_tuple__14);
  Py_VISIT(traverse_module_state->__pyx_tuple__15);
  Py_VISIT(traverse_module_state->__pyx_tuple__17);
  Py_VISIT(traverse_module_state->__pyx_tuple__19);
  Py_VISIT(traverse_module_state->__pyx_tuple__21);
  Py_VISIT(traverse_module_state->__pyx_tuple__23);
  Py_VISIT(traverse_module_state->__pyx_tuple__26);
  Py_VISIT(traverse_module_state->__pyx_tuple__28);
  Py_VISIT(traverse_module_state->__pyx_tuple__30);
  Py_VISIT(traverse_module_state->__pyx_tuple__32);
  Py_VISIT(traverse_module_state->__pyx_tuple__34);
  Py_VISIT(traverse_module_state->__pyx_tuple__36);
  Py_VISIT(traverse_module_state->__pyx_tuple__38);
  Py_VISIT(traverse_module_state->__pyx_tuple__40);
  Py_VISIT(traverse_module_state->__pyx_tuple__42);
  Py_VISIT(traverse_module_state->__pyx_tuple__44);
  Py_VISIT(traverse_module_state->__pyx_tuple__46);
  Py_VISIT(traverse_module_state->__pyx_tuple__48);
  Py_VISIT(traverse_module_state->__pyx_tuple__50);
  Py_VISIT(traverse_module_state->__pyx_tuple__52);
  Py_VISIT(traverse_module_state->__pyx_tuple__53);
  Py_VISIT(traverse_module_state->__pyx_tuple__55);
  Py_VISIT(traverse_module_state->__pyx_tuple__57);
  Py_VISIT(traverse_module_state->__pyx_tuple__59);
  Py_VISIT(traverse_module_state->__pyx_tuple__61);
  Py_VISIT(traverse_module_state->__pyx_tuple__63);
  Py_VISIT(traverse_module_state->__pyx_tuple__65);
  Py_VISIT(traverse_module_state->__pyx_tuple__67);
  Py_VISIT(traverse_module_state->__pyx_tuple__69);
  Py_VISIT(traverse_module_state->__pyx_tuple__71);
  Py_VISIT(traverse_module_state->__pyx_tuple__73);
  Py_VISIT(traverse_module_state->__pyx_tuple__75);
  Py_VISIT(traverse_module_state->__pyx_tuple__77);
  Py_VISIT(traverse_module_state->__pyx_tuple__79);
  Py_VISIT(traverse_module_state->__pyx_tuple__81);
  Py_VISIT(traverse_module_state->__pyx_tuple__83);
  Py_VISIT(traverse_module_state->__pyx_tuple__85);
  Py_VISIT(traverse_module_state->__pyx_tuple__87);
  Py_VISIT(traverse_module_state->__pyx_tuple__89);
  Py_VISIT(traverse_module_state->__pyx_tuple__92);
  Py_VISIT(traverse_module_state->__pyx_tuple__94);
  Py_VISIT(traverse_module_state->__pyx_tuple__95);
  Py_VISIT(traverse_module_state->__pyx_tuple__97);
  Py_VISIT(traverse_module_state->__pyx_tuple__99);
  Py_VISIT(traverse_module_state->__pyx_codeobj__3);
  Py_VISIT(traverse_module_state->__pyx_codeobj__7);
  Py_VISIT(traverse_module_state->__pyx_tuple__101);
  Py_VISIT(traverse_module_state->__pyx_tuple__103);
  Py_VISIT(traverse_module_state->__pyx_codeobj__13);
  Py_VISIT(traverse_module_state->__pyx_codeobj__16);
  Py_VISIT(traverse_module_state->__pyx_codeobj__18);
  Py_VISIT(traverse_module_state->__pyx_codeobj__20);
  Py_VISIT(traverse_module_state->__pyx_codeobj__22);
  Py_VISIT(traverse_module_state->__pyx_codeobj__24);
  Py_VISIT(traverse_module_state->__pyx_codeobj__25);
  Py_VISIT(traverse_module_state->__pyx_codeobj__27);
  Py_VISIT(traverse_module_state->__pyx_codeobj__29);
  Py_VISIT(traverse_module_state->__pyx_codeobj__31);
  Py_VISIT(traverse_module_state->__pyx_codeobj__33);
  Py_VISIT(traverse_module_state->__pyx_codeobj__35);
  Py_VISIT(traverse_module_state->__pyx_codeobj__37);
  Py_VISIT(traverse_module_state->__pyx_codeobj__39);
  Py_VISIT(traverse_module_state->__pyx_codeobj__41);
  Py_VISIT(traverse_module_state->__pyx_codeobj__43);
  Py_VISIT(traverse_module_state->__pyx_codeobj__45);
  Py_VISIT(traverse_module_state->__pyx_codeobj__47);
  Py_VISIT(traverse_module_state->__pyx_codeobj__49);
  Py_VISIT(traverse_module_state->__pyx_codeobj__51);
  Py_VISIT(traverse_module_state->__pyx_codeobj__54);
  Py_VISIT(traverse_module_state->__pyx_codeobj__56);
  Py_VISIT(traverse_module_state->__pyx_codeobj__58);
  Py_VISIT(traverse_module_state->__pyx_codeobj__60);
  Py_VISIT(traverse_module_state->__pyx_codeobj__62);
  Py_VISIT(traverse_module_state->__pyx_codeobj__64);
  Py_VISIT(traverse_module_state->__pyx_codeobj__66);
  Py_VISIT(traverse_module_state->__pyx_codeobj__68);
  Py_VISIT(traverse_module_state->__pyx_codeobj__70);
  Py_VISIT(traverse_module_state->__pyx_codeobj__72);
  Py_VISIT(traverse_module_state->__pyx_codeobj__74);
  Py_VISIT(traverse_module_state->__pyx_codeobj__76);
  Py_VISIT(traverse_module_state->__pyx_codeobj__78);
  Py_VISIT(traverse_module_state->__pyx_codeobj__80);
  Py_VISIT(traverse_module_state->__pyx_codeobj__82);
  Py_VISIT(traverse_module_state->__pyx_codeobj__84);
  Py_VISIT(traverse_module_state->__pyx_codeobj__86);
  Py_VISIT(traverse_module_state->__pyx_codeobj__88);
  Py_VISIT(traverse_module_state->__pyx_codeobj__90);
  Py_VISIT(traverse_module_state->__pyx_codeobj__93);
  Py_VISIT(traverse_module_state->__pyx_codeobj__96);
  Py_VISIT(traverse_module_state->__pyx_codeobj__98);
  Py_VISIT(traverse_module_state->__pyx_codeobj__100);
  Py_VISIT(traverse_module_state->__pyx_codeobj__102);
  Py_VISIT(traverse_module_state->__pyx_codeobj__104);
  return 0;
}
#endif
/* #### Code section: module_state_defines ### */
#define __pyx_d __pyx_mstate_global->__pyx_d
#define __pyx_b __pyx_mstate_global->__pyx_b
#define __pyx_cython_runtime __pyx_mstate_global->__pyx_cython_runtime
#define __pyx_empty_tuple __pyx_mstate_global->__pyx_empty_tuple
#define __pyx_empty_bytes __pyx_mstate_global->__pyx_empty_bytes
#define __pyx_empty_unicode __pyx_mstate_global->__pyx_empty_unicode
#ifdef __Pyx_CyFunction_USED
#define __pyx_CyFunctionType __pyx_mstate_global->__pyx_CyFunctionType
#endif
#ifdef __Pyx_FusedFunction_USED
#define __pyx_FusedFunctionType __pyx_mstate_global->__pyx_FusedFunctionType
#endif
#ifdef __Pyx_Generator_USED
#define __pyx_GeneratorType __pyx_mstate_global->__pyx_GeneratorType
#endif
#ifdef __Pyx_IterableCoroutine_USED
#define __pyx_IterableCoroutineType __pyx_mstate_global->__pyx_IterableCoroutineType
#endif
#ifdef __Pyx_Coroutine_USED
#define __pyx_CoroutineAwaitType __pyx_mstate_global->__pyx_CoroutineAwaitType
#endif
#ifdef __Pyx_Coroutine_USED
#define __pyx_CoroutineType __pyx_mstate_global->__pyx_CoroutineType
#endif
#if CYTHON_USE_MODULE_STATE
#endif
#if CYTHON_USE_MODULE_STATE
#define __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr __pyx_mstate_global->__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr
#define __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr __pyx_mstate_global->__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr
#define __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC __pyx_mstate_global->__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC
#define __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC __pyx_mstate_global->__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC
#define __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr __pyx_mstate_global->__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr
#define __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t __pyx_mstate_global->__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t
#define __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr __pyx_mstate_global->__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr
#define __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr __pyx_mstate_global->__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr
#endif
#define __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr __pyx_mstate_global->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr
#define __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr __pyx_mstate_global->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr
#define __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC __pyx_mstate_global->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC
#define __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC __pyx_mstate_global->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC
#define __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr __pyx_mstate_global->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr
#define __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t __pyx_mstate_global->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t
#define __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr __pyx_mstate_global->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr
#define __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr __pyx_mstate_global->__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr
#define __pyx_n_s_1_t __pyx_mstate_global->__pyx_n_s_1_t
#define __pyx_n_s_1_t_2 __pyx_mstate_global->__pyx_n_s_1_t_2
#define __pyx_n_s_2_t_1_t __pyx_mstate_global->__pyx_n_s_2_t_1_t
#define __pyx_kp_u_Approximates_the_arc_length_for __pyx_mstate_global->__pyx_kp_u_Approximates_the_arc_length_for
#define __pyx_n_s_AttributeError __pyx_mstate_global->__pyx_n_s_AttributeError
#define __pyx_n_s_COMPILED __pyx_mstate_global->__pyx_n_s_COMPILED
#define __pyx_kp_u_Calculates_the_arc_length_for_a __pyx_mstate_global->__pyx_kp_u_Calculates_the_arc_length_for_a
#define __pyx_kp_u_Calculates_the_bounding_rectangl __pyx_mstate_global->__pyx_kp_u_Calculates_the_bounding_rectangl
#define __pyx_kp_u_Calculates_the_bounding_rectangl_2 __pyx_mstate_global->__pyx_kp_u_Calculates_the_bounding_rectangl_2
#define __pyx_kp_u_Couldn_t_work_out_which_intersec __pyx_mstate_global->__pyx_kp_u_Couldn_t_work_out_which_intersec
#define __pyx_n_s_DD __pyx_mstate_global->__pyx_n_s_DD
#define __pyx_kp_u_Finds_intersections_between_a_cu __pyx_mstate_global->__pyx_kp_u_Finds_intersections_between_a_cu
#define __pyx_kp_u_Finds_intersections_between_a_cu_2 __pyx_mstate_global->__pyx_kp_u_Finds_intersections_between_a_cu_2
#define __pyx_kp_u_Finds_intersections_between_two __pyx_mstate_global->__pyx_kp_u_Finds_intersections_between_two
#define __pyx_kp_u_Finds_intersections_between_two_2 __pyx_mstate_global->__pyx_kp_u_Finds_intersections_between_two_2
#define __pyx_n_s_Identity __pyx_mstate_global->__pyx_n_s_Identity
#define __pyx_n_s_ImportError __pyx_mstate_global->__pyx_n_s_ImportError
#define __pyx_n_s_Intersection __pyx_mstate_global->__pyx_n_s_Intersection
#define __pyx_n_u_Intersection __pyx_mstate_global->__pyx_n_u_Intersection
#define __pyx_n_s_Len __pyx_mstate_global->__pyx_n_s_Len
#define __pyx_kp_s_Lib_fontTools_misc_bezierTools_p __pyx_mstate_global->__pyx_kp_s_Lib_fontTools_misc_bezierTools_p
#define __pyx_n_s_Q __pyx_mstate_global->__pyx_n_s_Q
#define __pyx_n_s_Q3 __pyx_mstate_global->__pyx_n_s_Q3
#define __pyx_n_s_R __pyx_mstate_global->__pyx_n_s_R
#define __pyx_n_s_R2 __pyx_mstate_global->__pyx_n_s_R2
#define __pyx_n_s_R2_Q3 __pyx_mstate_global->__pyx_n_s_R2_Q3
#define __pyx_kp_u_Solve_a_cubic_equation_Solves_a __pyx_mstate_global->__pyx_kp_u_Solve_a_cubic_equation_Solves_a
#define __pyx_kp_u_Split_a_cubic_Bezier_curve_at_a __pyx_mstate_global->__pyx_kp_u_Split_a_cubic_Bezier_curve_at_a
#define __pyx_kp_u_Split_a_cubic_Bezier_curve_at_on __pyx_mstate_global->__pyx_kp_u_Split_a_cubic_Bezier_curve_at_on
#define __pyx_kp_u_Split_a_line_at_a_given_coordina __pyx_mstate_global->__pyx_kp_u_Split_a_line_at_a_given_coordina
#define __pyx_kp_u_Split_a_quadratic_Bezier_curve_a __pyx_mstate_global->__pyx_kp_u_Split_a_quadratic_Bezier_curve_a
#define __pyx_kp_u_Split_a_quadratic_Bezier_curve_a_2 __pyx_mstate_global->__pyx_kp_u_Split_a_quadratic_Bezier_curve_a_2
#define __pyx_n_s_TypeError __pyx_mstate_global->__pyx_n_s_TypeError
#define __pyx_kp_u_Unknown_curve_degree __pyx_mstate_global->__pyx_kp_u_Unknown_curve_degree
#define __pyx_n_s_ValueError __pyx_mstate_global->__pyx_n_s_ValueError
#define __pyx_kp_u__10 __pyx_mstate_global->__pyx_kp_u__10
#define __pyx_n_s__105 __pyx_mstate_global->__pyx_n_s__105
#define __pyx_n_s__11 __pyx_mstate_global->__pyx_n_s__11
#define __pyx_kp_u__9 __pyx_mstate_global->__pyx_kp_u__9
#define __pyx_n_s__91 __pyx_mstate_global->__pyx_n_s__91
#define __pyx_n_s_a __pyx_mstate_global->__pyx_n_s_a
#define __pyx_n_s_a1 __pyx_mstate_global->__pyx_n_s_a1
#define __pyx_n_s_a1_3 __pyx_mstate_global->__pyx_n_s_a1_3
#define __pyx_n_s_a1x __pyx_mstate_global->__pyx_n_s_a1x
#define __pyx_n_s_a1y __pyx_mstate_global->__pyx_n_s_a1y
#define __pyx_n_s_a2 __pyx_mstate_global->__pyx_n_s_a2
#define __pyx_n_s_a3 __pyx_mstate_global->__pyx_n_s_a3
#define __pyx_n_s_acos __pyx_mstate_global->__pyx_n_s_acos
#define __pyx_n_s_aligned_curve __pyx_mstate_global->__pyx_n_s_aligned_curve
#define __pyx_n_s_alignment_transformation __pyx_mstate_global->__pyx_n_s_alignment_transformation
#define __pyx_n_s_all __pyx_mstate_global->__pyx_n_s_all
#define __pyx_n_s_angle __pyx_mstate_global->__pyx_n_s_angle
#define __pyx_n_s_append __pyx_mstate_global->__pyx_n_s_append
#define __pyx_n_s_approximateCubicArcLength __pyx_mstate_global->__pyx_n_s_approximateCubicArcLength
#define __pyx_n_u_approximateCubicArcLength __pyx_mstate_global->__pyx_n_u_approximateCubicArcLength
#define __pyx_n_s_approximateCubicArcLengthC __pyx_mstate_global->__pyx_n_s_approximateCubicArcLengthC
#define __pyx_n_u_approximateCubicArcLengthC __pyx_mstate_global->__pyx_n_u_approximateCubicArcLengthC
#define __pyx_kp_u_approximateCubicArcLength_line_3 __pyx_mstate_global->__pyx_kp_u_approximateCubicArcLength_line_3
#define __pyx_n_s_approximateQuadraticArcLength __pyx_mstate_global->__pyx_n_s_approximateQuadraticArcLength
#define __pyx_n_u_approximateQuadraticArcLength __pyx_mstate_global->__pyx_n_u_approximateQuadraticArcLength
#define __pyx_n_s_approximateQuadraticArcLengthC __pyx_mstate_global->__pyx_n_s_approximateQuadraticArcLengthC
#define __pyx_n_u_approximateQuadraticArcLengthC __pyx_mstate_global->__pyx_n_u_approximateQuadraticArcLengthC
#define __pyx_n_s_arch __pyx_mstate_global->__pyx_n_s_arch
#define __pyx_n_s_args __pyx_mstate_global->__pyx_n_s_args
#define __pyx_n_s_asinh __pyx_mstate_global->__pyx_n_s_asinh
#define __pyx_n_s_asyncio_coroutines __pyx_mstate_global->__pyx_n_s_asyncio_coroutines
#define __pyx_n_s_atan2 __pyx_mstate_global->__pyx_n_s_atan2
#define __pyx_n_s_ax __pyx_mstate_global->__pyx_n_s_ax
#define __pyx_n_s_ax2 __pyx_mstate_global->__pyx_n_s_ax2
#define __pyx_n_s_ax3 __pyx_mstate_global->__pyx_n_s_ax3
#define __pyx_n_s_ay __pyx_mstate_global->__pyx_n_s_ay
#define __pyx_n_s_ay2 __pyx_mstate_global->__pyx_n_s_ay2
#define __pyx_n_s_ay3 __pyx_mstate_global->__pyx_n_s_ay3
#define __pyx_n_s_b __pyx_mstate_global->__pyx_n_s_b
#define __pyx_n_s_b1 __pyx_mstate_global->__pyx_n_s_b1
#define __pyx_n_s_b1x __pyx_mstate_global->__pyx_n_s_b1x
#define __pyx_n_s_b1y __pyx_mstate_global->__pyx_n_s_b1y
#define __pyx_n_s_both_points_are_on_same_side_of __pyx_mstate_global->__pyx_n_s_both_points_are_on_same_side_of
#define __pyx_n_s_bounds1 __pyx_mstate_global->__pyx_n_s_bounds1
#define __pyx_n_s_bounds2 __pyx_mstate_global->__pyx_n_s_bounds2
#define __pyx_n_s_box __pyx_mstate_global->__pyx_n_s_box
#define __pyx_n_s_bx __pyx_mstate_global->__pyx_n_s_bx
#define __pyx_n_s_bx2 __pyx_mstate_global->__pyx_n_s_bx2
#define __pyx_n_s_by __pyx_mstate_global->__pyx_n_s_by
#define __pyx_n_s_by2 __pyx_mstate_global->__pyx_n_s_by2
#define __pyx_n_s_c __pyx_mstate_global->__pyx_n_s_c
#define __pyx_n_s_c1 __pyx_mstate_global->__pyx_n_s_c1
#define __pyx_n_s_c11 __pyx_mstate_global->__pyx_n_s_c11
#define __pyx_n_s_c11_range __pyx_mstate_global->__pyx_n_s_c11_range
#define __pyx_n_s_c12 __pyx_mstate_global->__pyx_n_s_c12
#define __pyx_n_s_c12_range __pyx_mstate_global->__pyx_n_s_c12_range
#define __pyx_n_s_c1x __pyx_mstate_global->__pyx_n_s_c1x
#define __pyx_n_s_c1y __pyx_mstate_global->__pyx_n_s_c1y
#define __pyx_n_s_c21 __pyx_mstate_global->__pyx_n_s_c21
#define __pyx_n_s_c21_range __pyx_mstate_global->__pyx_n_s_c21_range
#define __pyx_n_s_c22 __pyx_mstate_global->__pyx_n_s_c22
#define __pyx_n_s_c22_range __pyx_mstate_global->__pyx_n_s_c22_range
#define __pyx_n_s_calcBounds __pyx_mstate_global->__pyx_n_s_calcBounds
#define __pyx_n_s_calcCubicArcLength __pyx_mstate_global->__pyx_n_s_calcCubicArcLength
#define __pyx_n_u_calcCubicArcLength __pyx_mstate_global->__pyx_n_u_calcCubicArcLength
#define __pyx_n_s_calcCubicArcLengthC __pyx_mstate_global->__pyx_n_s_calcCubicArcLengthC
#define __pyx_n_u_calcCubicArcLengthC __pyx_mstate_global->__pyx_n_u_calcCubicArcLengthC
#define __pyx_n_s_calcCubicArcLengthCRecurse __pyx_mstate_global->__pyx_n_s_calcCubicArcLengthCRecurse
#define __pyx_n_s_calcCubicBounds __pyx_mstate_global->__pyx_n_s_calcCubicBounds
#define __pyx_n_u_calcCubicBounds __pyx_mstate_global->__pyx_n_u_calcCubicBounds
#define __pyx_kp_u_calcCubicBounds_line_412 __pyx_mstate_global->__pyx_kp_u_calcCubicBounds_line_412
#define __pyx_n_s_calcCubicParameters __pyx_mstate_global->__pyx_n_s_calcCubicParameters
#define __pyx_n_s_calcCubicPoints __pyx_mstate_global->__pyx_n_s_calcCubicPoints
#define __pyx_n_s_calcQuadraticArcLength __pyx_mstate_global->__pyx_n_s_calcQuadraticArcLength
#define __pyx_n_u_calcQuadraticArcLength __pyx_mstate_global->__pyx_n_u_calcQuadraticArcLength
#define __pyx_n_s_calcQuadraticArcLengthC __pyx_mstate_global->__pyx_n_s_calcQuadraticArcLengthC
#define __pyx_n_u_calcQuadraticArcLengthC __pyx_mstate_global->__pyx_n_u_calcQuadraticArcLengthC
#define __pyx_kp_u_calcQuadraticArcLength_line_151 __pyx_mstate_global->__pyx_kp_u_calcQuadraticArcLength_line_151
#define __pyx_n_s_calcQuadraticBounds __pyx_mstate_global->__pyx_n_s_calcQuadraticBounds
#define __pyx_n_u_calcQuadraticBounds __pyx_mstate_global->__pyx_n_u_calcQuadraticBounds
#define __pyx_kp_u_calcQuadraticBounds_line_298 __pyx_mstate_global->__pyx_kp_u_calcQuadraticBounds_line_298
#define __pyx_n_s_calcQuadraticParameters __pyx_mstate_global->__pyx_n_s_calcQuadraticParameters
#define __pyx_n_s_calcQuadraticPoints __pyx_mstate_global->__pyx_n_s_calcQuadraticPoints
#define __pyx_n_s_class_getitem __pyx_mstate_global->__pyx_n_s_class_getitem
#define __pyx_n_s_cline_in_traceback __pyx_mstate_global->__pyx_n_s_cline_in_traceback
#define __pyx_n_s_close __pyx_mstate_global->__pyx_n_s_close
#define __pyx_n_s_collections __pyx_mstate_global->__pyx_n_s_collections
#define __pyx_n_s_cos __pyx_mstate_global->__pyx_n_s_cos
#define __pyx_n_s_cubicPointAtT __pyx_mstate_global->__pyx_n_s_cubicPointAtT
#define __pyx_n_u_cubicPointAtT __pyx_mstate_global->__pyx_n_u_cubicPointAtT
#define __pyx_n_s_cubicPointAtTC __pyx_mstate_global->__pyx_n_s_cubicPointAtTC
#define __pyx_n_u_cubicPointAtTC __pyx_mstate_global->__pyx_n_u_cubicPointAtTC
#define __pyx_n_s_curve __pyx_mstate_global->__pyx_n_s_curve
#define __pyx_n_s_curve1 __pyx_mstate_global->__pyx_n_s_curve1
#define __pyx_n_s_curve2 __pyx_mstate_global->__pyx_n_s_curve2
#define __pyx_n_s_curveCurveIntersections __pyx_mstate_global->__pyx_n_s_curveCurveIntersections
#define __pyx_n_u_curveCurveIntersections __pyx_mstate_global->__pyx_n_u_curveCurveIntersections
#define __pyx_kp_u_curveCurveIntersections_line_137 __pyx_mstate_global->__pyx_kp_u_curveCurveIntersections_line_137
#define __pyx_n_s_curveLineIntersections __pyx_mstate_global->__pyx_n_s_curveLineIntersections
#define __pyx_n_u_curveLineIntersections __pyx_mstate_global->__pyx_n_u_curveLineIntersections
#define __pyx_kp_u_curveLineIntersections_line_1248 __pyx_mstate_global->__pyx_kp_u_curveLineIntersections_line_1248
#define __pyx_n_s_curve_bounds __pyx_mstate_global->__pyx_n_s_curve_bounds
#define __pyx_n_s_curve_curve_intersections_t __pyx_mstate_global->__pyx_n_s_curve_curve_intersections_t
#define __pyx_n_s_curve_curve_intersections_t_loc __pyx_mstate_global->__pyx_n_s_curve_curve_intersections_t_loc
#define __pyx_n_s_curve_curve_intersections_t_loc_2 __pyx_mstate_global->__pyx_n_s_curve_curve_intersections_t_loc_2
#define __pyx_n_s_curve_line_intersections_t __pyx_mstate_global->__pyx_n_s_curve_line_intersections_t
#define __pyx_n_s_curve_line_intersections_t_loca __pyx_mstate_global->__pyx_n_s_curve_line_intersections_t_loca
#define __pyx_n_s_cx __pyx_mstate_global->__pyx_n_s_cx
#define __pyx_n_s_cy __pyx_mstate_global->__pyx_n_s_cy
#define __pyx_n_s_cython __pyx_mstate_global->__pyx_n_s_cython
#define __pyx_n_s_d __pyx_mstate_global->__pyx_n_s_d
#define __pyx_n_s_d0 __pyx_mstate_global->__pyx_n_s_d0
#define __pyx_n_s_d1 __pyx_mstate_global->__pyx_n_s_d1
#define __pyx_n_s_d1x __pyx_mstate_global->__pyx_n_s_d1x
#define __pyx_n_s_d1y __pyx_mstate_global->__pyx_n_s_d1y
#define __pyx_n_s_delta __pyx_mstate_global->__pyx_n_s_delta
#define __pyx_n_s_delta_2 __pyx_mstate_global->__pyx_n_s_delta_2
#define __pyx_n_s_delta_3 __pyx_mstate_global->__pyx_n_s_delta_3
#define __pyx_n_s_deriv3 __pyx_mstate_global->__pyx_n_s_deriv3
#define __pyx_kp_u_disable __pyx_mstate_global->__pyx_kp_u_disable
#define __pyx_n_s_doctest __pyx_mstate_global->__pyx_n_s_doctest
#define __pyx_n_s_dx __pyx_mstate_global->__pyx_n_s_dx
#define __pyx_n_s_dy __pyx_mstate_global->__pyx_n_s_dy
#define __pyx_n_s_e __pyx_mstate_global->__pyx_n_s_e
#define __pyx_n_s_e1 __pyx_mstate_global->__pyx_n_s_e1
#define __pyx_n_s_e1x __pyx_mstate_global->__pyx_n_s_e1x
#define __pyx_n_s_e1y __pyx_mstate_global->__pyx_n_s_e1y
#define __pyx_n_s_e2 __pyx_mstate_global->__pyx_n_s_e2
#define __pyx_n_s_e2x __pyx_mstate_global->__pyx_n_s_e2x
#define __pyx_n_s_e2y __pyx_mstate_global->__pyx_n_s_e2y
#define __pyx_kp_u_enable __pyx_mstate_global->__pyx_kp_u_enable
#define __pyx_n_s_end __pyx_mstate_global->__pyx_n_s_end
#define __pyx_n_s_epsilon __pyx_mstate_global->__pyx_n_s_epsilon
#define __pyx_n_s_epsilonDigits __pyx_mstate_global->__pyx_n_s_epsilonDigits
#define __pyx_n_s_ex __pyx_mstate_global->__pyx_n_s_ex
#define __pyx_n_s_exit __pyx_mstate_global->__pyx_n_s_exit
#define __pyx_n_s_ey __pyx_mstate_global->__pyx_n_s_ey
#define __pyx_n_s_failed __pyx_mstate_global->__pyx_n_s_failed
#define __pyx_n_s_fontTools_misc __pyx_mstate_global->__pyx_n_s_fontTools_misc
#define __pyx_n_s_fontTools_misc_arrayTools __pyx_mstate_global->__pyx_n_s_fontTools_misc_arrayTools
#define __pyx_n_s_fontTools_misc_bezierTools __pyx_mstate_global->__pyx_n_s_fontTools_misc_bezierTools
#define __pyx_n_s_fontTools_misc_transform __pyx_mstate_global->__pyx_n_s_fontTools_misc_transform
#define __pyx_n_s_found __pyx_mstate_global->__pyx_n_s_found
#define __pyx_kp_u_g __pyx_mstate_global->__pyx_kp_u_g
#define __pyx_kp_u_gc __pyx_mstate_global->__pyx_kp_u_gc
#define __pyx_n_s_genexpr __pyx_mstate_global->__pyx_n_s_genexpr
#define __pyx_n_s_i __pyx_mstate_global->__pyx_n_s_i
#define __pyx_n_s_import __pyx_mstate_global->__pyx_n_s_import
#define __pyx_n_s_initializing __pyx_mstate_global->__pyx_n_s_initializing
#define __pyx_n_s_insert __pyx_mstate_global->__pyx_n_s_insert
#define __pyx_n_s_intersection_ts __pyx_mstate_global->__pyx_n_s_intersection_ts
#define __pyx_n_s_intersections __pyx_mstate_global->__pyx_n_s_intersections
#define __pyx_n_s_intersects __pyx_mstate_global->__pyx_n_s_intersects
#define __pyx_n_s_isHorizontal __pyx_mstate_global->__pyx_n_s_isHorizontal
#define __pyx_n_s_is_coroutine __pyx_mstate_global->__pyx_n_s_is_coroutine
#define __pyx_n_s_is_linelike __pyx_mstate_global->__pyx_n_s_is_linelike
#define __pyx_n_s_is_linelike_locals_genexpr __pyx_mstate_global->__pyx_n_s_is_linelike_locals_genexpr
#define __pyx_n_s_isclose __pyx_mstate_global->__pyx_n_s_isclose
#define __pyx_kp_u_isenabled __pyx_mstate_global->__pyx_kp_u_isenabled
#define __pyx_n_s_it __pyx_mstate_global->__pyx_n_s_it
#define __pyx_n_s_key __pyx_mstate_global->__pyx_n_s_key
#define __pyx_n_s_line __pyx_mstate_global->__pyx_n_s_line
#define __pyx_n_s_line1 __pyx_mstate_global->__pyx_n_s_line1
#define __pyx_n_s_line2 __pyx_mstate_global->__pyx_n_s_line2
#define __pyx_n_s_lineLineIntersections __pyx_mstate_global->__pyx_n_s_lineLineIntersections
#define __pyx_n_u_lineLineIntersections __pyx_mstate_global->__pyx_n_u_lineLineIntersections
#define __pyx_kp_u_lineLineIntersections_line_1147 __pyx_mstate_global->__pyx_kp_u_lineLineIntersections_line_1147
#define __pyx_n_s_linePointAtT __pyx_mstate_global->__pyx_n_s_linePointAtT
#define __pyx_n_u_linePointAtT __pyx_mstate_global->__pyx_n_u_linePointAtT
#define __pyx_n_s_line_t __pyx_mstate_global->__pyx_n_s_line_t
#define __pyx_n_s_line_t_of_pt __pyx_mstate_global->__pyx_n_s_line_t_of_pt
#define __pyx_n_s_main __pyx_mstate_global->__pyx_n_s_main
#define __pyx_n_u_main __pyx_mstate_global->__pyx_n_u_main
#define __pyx_n_s_math __pyx_mstate_global->__pyx_n_s_math
#define __pyx_n_s_maybeline __pyx_mstate_global->__pyx_n_s_maybeline
#define __pyx_n_s_mid __pyx_mstate_global->__pyx_n_s_mid
#define __pyx_n_s_midPt __pyx_mstate_global->__pyx_n_s_midPt
#define __pyx_n_s_midpoint __pyx_mstate_global->__pyx_n_s_midpoint
#define __pyx_n_s_mult __pyx_mstate_global->__pyx_n_s_mult
#define __pyx_n_s_n __pyx_mstate_global->__pyx_n_s_n
#define __pyx_n_s_name __pyx_mstate_global->__pyx_n_s_name
#define __pyx_n_s_namedtuple __pyx_mstate_global->__pyx_n_s_namedtuple
#define __pyx_n_s_obj __pyx_mstate_global->__pyx_n_s_obj
#define __pyx_n_s_off1 __pyx_mstate_global->__pyx_n_s_off1
#define __pyx_n_s_off2 __pyx_mstate_global->__pyx_n_s_off2
#define __pyx_n_s_one __pyx_mstate_global->__pyx_n_s_one
#define __pyx_n_s_origDist __pyx_mstate_global->__pyx_n_s_origDist
#define __pyx_n_s_origin __pyx_mstate_global->__pyx_n_s_origin
#define __pyx_n_s_p0 __pyx_mstate_global->__pyx_n_s_p0
#define __pyx_n_s_p1 __pyx_mstate_global->__pyx_n_s_p1
#define __pyx_n_s_p2 __pyx_mstate_global->__pyx_n_s_p2
#define __pyx_n_s_p3 __pyx_mstate_global->__pyx_n_s_p3
#define __pyx_n_s_pi __pyx_mstate_global->__pyx_n_s_pi
#define __pyx_n_s_pointAtT __pyx_mstate_global->__pyx_n_s_pointAtT
#define __pyx_n_s_pointFinder __pyx_mstate_global->__pyx_n_s_pointFinder
#define __pyx_n_s_points __pyx_mstate_global->__pyx_n_s_points
#define __pyx_n_s_precision __pyx_mstate_global->__pyx_n_s_precision
#define __pyx_n_s_print __pyx_mstate_global->__pyx_n_s_print
#define __pyx_n_s_printSegments __pyx_mstate_global->__pyx_n_s_printSegments
#define __pyx_n_s_pt __pyx_mstate_global->__pyx_n_s_pt
#define __pyx_n_u_pt __pyx_mstate_global->__pyx_n_u_pt
#define __pyx_n_s_pt1 __pyx_mstate_global->__pyx_n_s_pt1
#define __pyx_n_s_pt1x __pyx_mstate_global->__pyx_n_s_pt1x
#define __pyx_n_s_pt1y __pyx_mstate_global->__pyx_n_s_pt1y
#define __pyx_n_s_pt2 __pyx_mstate_global->__pyx_n_s_pt2
#define __pyx_n_s_pt2x __pyx_mstate_global->__pyx_n_s_pt2x
#define __pyx_n_s_pt2y __pyx_mstate_global->__pyx_n_s_pt2y
#define __pyx_n_s_pt3 __pyx_mstate_global->__pyx_n_s_pt3
#define __pyx_n_s_pt4 __pyx_mstate_global->__pyx_n_s_pt4
#define __pyx_n_s_px __pyx_mstate_global->__pyx_n_s_px
#define __pyx_n_s_py __pyx_mstate_global->__pyx_n_s_py
#define __pyx_n_s_quadraticPointAtT __pyx_mstate_global->__pyx_n_s_quadraticPointAtT
#define __pyx_n_u_quadraticPointAtT __pyx_mstate_global->__pyx_n_u_quadraticPointAtT
#define __pyx_n_s_r __pyx_mstate_global->__pyx_n_s_r
#define __pyx_n_s_rDD __pyx_mstate_global->__pyx_n_s_rDD
#define __pyx_n_s_rQ2 __pyx_mstate_global->__pyx_n_s_rQ2
#define __pyx_n_s_range __pyx_mstate_global->__pyx_n_s_range
#define __pyx_n_s_range1 __pyx_mstate_global->__pyx_n_s_range1
#define __pyx_n_s_range2 __pyx_mstate_global->__pyx_n_s_range2
#define __pyx_n_s_rectArea __pyx_mstate_global->__pyx_n_s_rectArea
#define __pyx_n_s_roots __pyx_mstate_global->__pyx_n_s_roots
#define __pyx_n_s_rotate __pyx_mstate_global->__pyx_n_s_rotate
#define __pyx_n_s_round __pyx_mstate_global->__pyx_n_s_round
#define __pyx_n_s_s __pyx_mstate_global->__pyx_n_s_s
#define __pyx_n_s_s1 __pyx_mstate_global->__pyx_n_s_s1
#define __pyx_n_s_s1x __pyx_mstate_global->__pyx_n_s_s1x
#define __pyx_n_s_s1y __pyx_mstate_global->__pyx_n_s_s1y
#define __pyx_n_s_s2 __pyx_mstate_global->__pyx_n_s_s2
#define __pyx_n_s_s2x __pyx_mstate_global->__pyx_n_s_s2x
#define __pyx_n_s_s2y __pyx_mstate_global->__pyx_n_s_s2y
#define __pyx_kp_u_s_2 __pyx_mstate_global->__pyx_kp_u_s_2
#define __pyx_n_s_scale __pyx_mstate_global->__pyx_n_s_scale
#define __pyx_n_s_sectRect __pyx_mstate_global->__pyx_n_s_sectRect
#define __pyx_n_s_seen __pyx_mstate_global->__pyx_n_s_seen
#define __pyx_n_s_seg __pyx_mstate_global->__pyx_n_s_seg
#define __pyx_n_s_seg1 __pyx_mstate_global->__pyx_n_s_seg1
#define __pyx_n_s_seg2 __pyx_mstate_global->__pyx_n_s_seg2
#define __pyx_n_s_segment __pyx_mstate_global->__pyx_n_s_segment
#define __pyx_n_s_segmentPointAtT __pyx_mstate_global->__pyx_n_s_segmentPointAtT
#define __pyx_n_u_segmentPointAtT __pyx_mstate_global->__pyx_n_u_segmentPointAtT
#define __pyx_n_s_segmentSegmentIntersections __pyx_mstate_global->__pyx_n_s_segmentSegmentIntersections
#define __pyx_n_u_segmentSegmentIntersections __pyx_mstate_global->__pyx_n_u_segmentSegmentIntersections
#define __pyx_kp_u_segmentSegmentIntersections_line __pyx_mstate_global->__pyx_kp_u_segmentSegmentIntersections_line
#define __pyx_n_s_segmentrepr __pyx_mstate_global->__pyx_n_s_segmentrepr
#define __pyx_kp_u_segmentrepr_1_2_3_2_3_4_0_1_2 __pyx_mstate_global->__pyx_kp_u_segmentrepr_1_2_3_2_3_4_0_1_2
#define __pyx_kp_u_segmentrepr_line_1465 __pyx_mstate_global->__pyx_kp_u_segmentrepr_line_1465
#define __pyx_n_s_segmentrepr_locals_genexpr __pyx_mstate_global->__pyx_n_s_segmentrepr_locals_genexpr
#define __pyx_n_s_segments __pyx_mstate_global->__pyx_n_s_segments
#define __pyx_n_s_send __pyx_mstate_global->__pyx_n_s_send
#define __pyx_n_s_slope12 __pyx_mstate_global->__pyx_n_s_slope12
#define __pyx_n_s_slope34 __pyx_mstate_global->__pyx_n_s_slope34
#define __pyx_n_s_solutions __pyx_mstate_global->__pyx_n_s_solutions
#define __pyx_n_s_solveCubic __pyx_mstate_global->__pyx_n_s_solveCubic
#define __pyx_n_u_solveCubic __pyx_mstate_global->__pyx_n_u_solveCubic
#define __pyx_kp_u_solveCubic_line_841 __pyx_mstate_global->__pyx_kp_u_solveCubic_line_841
#define __pyx_n_s_solveQuadratic __pyx_mstate_global->__pyx_n_s_solveQuadratic
#define __pyx_n_u_solveQuadratic __pyx_mstate_global->__pyx_n_u_solveQuadratic
#define __pyx_n_s_spec __pyx_mstate_global->__pyx_n_s_spec
#define __pyx_n_s_splitCubic __pyx_mstate_global->__pyx_n_s_splitCubic
#define __pyx_n_u_splitCubic __pyx_mstate_global->__pyx_n_u_splitCubic
#define __pyx_n_s_splitCubicAtT __pyx_mstate_global->__pyx_n_s_splitCubicAtT
#define __pyx_n_s_splitCubicAtTC __pyx_mstate_global->__pyx_n_s_splitCubicAtTC
#define __pyx_n_u_splitCubicAtTC __pyx_mstate_global->__pyx_n_u_splitCubicAtTC
#define __pyx_n_s_splitCubicAtTC_2 __pyx_mstate_global->__pyx_n_s_splitCubicAtTC_2
#define __pyx_n_s_splitCubicAtT_2 __pyx_mstate_global->__pyx_n_s_splitCubicAtT_2
#define __pyx_n_u_splitCubicAtT_2 __pyx_mstate_global->__pyx_n_u_splitCubicAtT_2
#define __pyx_kp_u_splitCubicAtT_line_613 __pyx_mstate_global->__pyx_kp_u_splitCubicAtT_line_613
#define __pyx_n_s_splitCubicIntoTwoAtTC __pyx_mstate_global->__pyx_n_s_splitCubicIntoTwoAtTC
#define __pyx_n_u_splitCubicIntoTwoAtTC __pyx_mstate_global->__pyx_n_u_splitCubicIntoTwoAtTC
#define __pyx_kp_u_splitCubic_line_552 __pyx_mstate_global->__pyx_kp_u_splitCubic_line_552
#define __pyx_n_s_splitCubic_locals_genexpr __pyx_mstate_global->__pyx_n_s_splitCubic_locals_genexpr
#define __pyx_n_s_splitLine __pyx_mstate_global->__pyx_n_s_splitLine
#define __pyx_n_u_splitLine __pyx_mstate_global->__pyx_n_u_splitLine
#define __pyx_kp_u_splitLine_line_450 __pyx_mstate_global->__pyx_kp_u_splitLine_line_450
#define __pyx_n_s_splitQuadratic __pyx_mstate_global->__pyx_n_s_splitQuadratic
#define __pyx_n_u_splitQuadratic __pyx_mstate_global->__pyx_n_u_splitQuadratic
#define __pyx_n_s_splitQuadraticAtT __pyx_mstate_global->__pyx_n_s_splitQuadraticAtT
#define __pyx_n_s_splitQuadraticAtT_2 __pyx_mstate_global->__pyx_n_s_splitQuadraticAtT_2
#define __pyx_n_u_splitQuadraticAtT_2 __pyx_mstate_global->__pyx_n_u_splitQuadraticAtT_2
#define __pyx_kp_u_splitQuadraticAtT_line_589 __pyx_mstate_global->__pyx_kp_u_splitQuadraticAtT_line_589
#define __pyx_kp_u_splitQuadratic_line_507 __pyx_mstate_global->__pyx_kp_u_splitQuadratic_line_507
#define __pyx_n_s_splitQuadratic_locals_genexpr __pyx_mstate_global->__pyx_n_s_splitQuadratic_locals_genexpr
#define __pyx_n_s_split_cubic_into_two __pyx_mstate_global->__pyx_n_s_split_cubic_into_two
#define __pyx_n_s_split_segment_at_t __pyx_mstate_global->__pyx_n_s_split_segment_at_t
#define __pyx_n_s_sqrt __pyx_mstate_global->__pyx_n_s_sqrt
#define __pyx_n_s_start __pyx_mstate_global->__pyx_n_s_start
#define __pyx_n_s_swapped __pyx_mstate_global->__pyx_n_s_swapped
#define __pyx_n_s_sx __pyx_mstate_global->__pyx_n_s_sx
#define __pyx_n_s_sy __pyx_mstate_global->__pyx_n_s_sy
#define __pyx_n_s_sys __pyx_mstate_global->__pyx_n_s_sys
#define __pyx_n_s_t __pyx_mstate_global->__pyx_n_s_t
#define __pyx_n_s_t1 __pyx_mstate_global->__pyx_n_s_t1
#define __pyx_n_u_t1 __pyx_mstate_global->__pyx_n_u_t1
#define __pyx_n_s_t1_2 __pyx_mstate_global->__pyx_n_s_t1_2
#define __pyx_n_s_t1_3 __pyx_mstate_global->__pyx_n_s_t1_3
#define __pyx_n_s_t2 __pyx_mstate_global->__pyx_n_s_t2
#define __pyx_n_u_t2 __pyx_mstate_global->__pyx_n_u_t2
#define __pyx_n_s_test __pyx_mstate_global->__pyx_n_s_test
#define __pyx_n_s_testmod __pyx_mstate_global->__pyx_n_s_testmod
#define __pyx_n_s_theta __pyx_mstate_global->__pyx_n_s_theta
#define __pyx_n_s_throw __pyx_mstate_global->__pyx_n_s_throw
#define __pyx_n_s_tolerance __pyx_mstate_global->__pyx_n_s_tolerance
#define __pyx_n_s_transformPoints __pyx_mstate_global->__pyx_n_s_transformPoints
#define __pyx_n_s_translate __pyx_mstate_global->__pyx_n_s_translate
#define __pyx_n_s_ts __pyx_mstate_global->__pyx_n_s_ts
#define __pyx_n_s_two __pyx_mstate_global->__pyx_n_s_two
#define __pyx_n_s_unique_key __pyx_mstate_global->__pyx_n_s_unique_key
#define __pyx_n_s_unique_values __pyx_mstate_global->__pyx_n_s_unique_values
#define __pyx_n_s_v0 __pyx_mstate_global->__pyx_n_s_v0
#define __pyx_n_s_v1 __pyx_mstate_global->__pyx_n_s_v1
#define __pyx_n_s_v2 __pyx_mstate_global->__pyx_n_s_v2
#define __pyx_n_s_v3 __pyx_mstate_global->__pyx_n_s_v3
#define __pyx_n_s_v4 __pyx_mstate_global->__pyx_n_s_v4
#define __pyx_n_s_where __pyx_mstate_global->__pyx_n_s_where
#define __pyx_n_s_x __pyx_mstate_global->__pyx_n_s_x
#define __pyx_n_s_x0 __pyx_mstate_global->__pyx_n_s_x0
#define __pyx_n_s_x1 __pyx_mstate_global->__pyx_n_s_x1
#define __pyx_n_s_x2 __pyx_mstate_global->__pyx_n_s_x2
#define __pyx_n_s_x3 __pyx_mstate_global->__pyx_n_s_x3
#define __pyx_n_s_x4 __pyx_mstate_global->__pyx_n_s_x4
#define __pyx_n_s_xDiff __pyx_mstate_global->__pyx_n_s_xDiff
#define __pyx_n_s_xRoots __pyx_mstate_global->__pyx_n_s_xRoots
#define __pyx_n_s_y __pyx_mstate_global->__pyx_n_s_y
#define __pyx_n_s_y1 __pyx_mstate_global->__pyx_n_s_y1
#define __pyx_n_s_y2 __pyx_mstate_global->__pyx_n_s_y2
#define __pyx_n_s_y3 __pyx_mstate_global->__pyx_n_s_y3
#define __pyx_n_s_y4 __pyx_mstate_global->__pyx_n_s_y4
#define __pyx_n_s_yDiff __pyx_mstate_global->__pyx_n_s_yDiff
#define __pyx_n_s_yRoots __pyx_mstate_global->__pyx_n_s_yRoots
#define __pyx_float_0_0 __pyx_mstate_global->__pyx_float_0_0
#define __pyx_float_0_5 __pyx_mstate_global->__pyx_float_0_5
#define __pyx_float_1_0 __pyx_mstate_global->__pyx_float_1_0
#define __pyx_float_2_0 __pyx_mstate_global->__pyx_float_2_0
#define __pyx_float_3_0 __pyx_mstate_global->__pyx_float_3_0
#define __pyx_float_4_0 __pyx_mstate_global->__pyx_float_4_0
#define __pyx_float_9_0 __pyx_mstate_global->__pyx_float_9_0
#define __pyx_float_1eneg_3 __pyx_mstate_global->__pyx_float_1eneg_3
#define __pyx_float_27_0 __pyx_mstate_global->__pyx_float_27_0
#define __pyx_float_54_0 __pyx_mstate_global->__pyx_float_54_0
#define __pyx_float_0_005 __pyx_mstate_global->__pyx_float_0_005
#define __pyx_float_0_125 __pyx_mstate_global->__pyx_float_0_125
#define __pyx_float_1eneg_10 __pyx_mstate_global->__pyx_float_1eneg_10
#define __pyx_float_neg_2_0 __pyx_mstate_global->__pyx_float_neg_2_0
#define __pyx_int_0 __pyx_mstate_global->__pyx_int_0
#define __pyx_int_1 __pyx_mstate_global->__pyx_int_1
#define __pyx_int_2 __pyx_mstate_global->__pyx_int_2
#define __pyx_int_3 __pyx_mstate_global->__pyx_int_3
#define __pyx_int_6 __pyx_mstate_global->__pyx_int_6
#define __pyx_int_neg_1 __pyx_mstate_global->__pyx_int_neg_1
#define __pyx_codeobj_ __pyx_mstate_global->__pyx_codeobj_
#define __pyx_tuple__2 __pyx_mstate_global->__pyx_tuple__2
#define __pyx_tuple__4 __pyx_mstate_global->__pyx_tuple__4
#define __pyx_tuple__5 __pyx_mstate_global->__pyx_tuple__5
#define __pyx_tuple__6 __pyx_mstate_global->__pyx_tuple__6
#define __pyx_tuple__8 __pyx_mstate_global->__pyx_tuple__8
#define __pyx_tuple__12 __pyx_mstate_global->__pyx_tuple__12
#define __pyx_tuple__14 __pyx_mstate_global->__pyx_tuple__14
#define __pyx_tuple__15 __pyx_mstate_global->__pyx_tuple__15
#define __pyx_tuple__17 __pyx_mstate_global->__pyx_tuple__17
#define __pyx_tuple__19 __pyx_mstate_global->__pyx_tuple__19
#define __pyx_tuple__21 __pyx_mstate_global->__pyx_tuple__21
#define __pyx_tuple__23 __pyx_mstate_global->__pyx_tuple__23
#define __pyx_tuple__26 __pyx_mstate_global->__pyx_tuple__26
#define __pyx_tuple__28 __pyx_mstate_global->__pyx_tuple__28
#define __pyx_tuple__30 __pyx_mstate_global->__pyx_tuple__30
#define __pyx_tuple__32 __pyx_mstate_global->__pyx_tuple__32
#define __pyx_tuple__34 __pyx_mstate_global->__pyx_tuple__34
#define __pyx_tuple__36 __pyx_mstate_global->__pyx_tuple__36
#define __pyx_tuple__38 __pyx_mstate_global->__pyx_tuple__38
#define __pyx_tuple__40 __pyx_mstate_global->__pyx_tuple__40
#define __pyx_tuple__42 __pyx_mstate_global->__pyx_tuple__42
#define __pyx_tuple__44 __pyx_mstate_global->__pyx_tuple__44
#define __pyx_tuple__46 __pyx_mstate_global->__pyx_tuple__46
#define __pyx_tuple__48 __pyx_mstate_global->__pyx_tuple__48
#define __pyx_tuple__50 __pyx_mstate_global->__pyx_tuple__50
#define __pyx_tuple__52 __pyx_mstate_global->__pyx_tuple__52
#define __pyx_tuple__53 __pyx_mstate_global->__pyx_tuple__53
#define __pyx_tuple__55 __pyx_mstate_global->__pyx_tuple__55
#define __pyx_tuple__57 __pyx_mstate_global->__pyx_tuple__57
#define __pyx_tuple__59 __pyx_mstate_global->__pyx_tuple__59
#define __pyx_tuple__61 __pyx_mstate_global->__pyx_tuple__61
#define __pyx_tuple__63 __pyx_mstate_global->__pyx_tuple__63
#define __pyx_tuple__65 __pyx_mstate_global->__pyx_tuple__65
#define __pyx_tuple__67 __pyx_mstate_global->__pyx_tuple__67
#define __pyx_tuple__69 __pyx_mstate_global->__pyx_tuple__69
#define __pyx_tuple__71 __pyx_mstate_global->__pyx_tuple__71
#define __pyx_tuple__73 __pyx_mstate_global->__pyx_tuple__73
#define __pyx_tuple__75 __pyx_mstate_global->__pyx_tuple__75
#define __pyx_tuple__77 __pyx_mstate_global->__pyx_tuple__77
#define __pyx_tuple__79 __pyx_mstate_global->__pyx_tuple__79
#define __pyx_tuple__81 __pyx_mstate_global->__pyx_tuple__81
#define __pyx_tuple__83 __pyx_mstate_global->__pyx_tuple__83
#define __pyx_tuple__85 __pyx_mstate_global->__pyx_tuple__85
#define __pyx_tuple__87 __pyx_mstate_global->__pyx_tuple__87
#define __pyx_tuple__89 __pyx_mstate_global->__pyx_tuple__89
#define __pyx_tuple__92 __pyx_mstate_global->__pyx_tuple__92
#define __pyx_tuple__94 __pyx_mstate_global->__pyx_tuple__94
#define __pyx_tuple__95 __pyx_mstate_global->__pyx_tuple__95
#define __pyx_tuple__97 __pyx_mstate_global->__pyx_tuple__97
#define __pyx_tuple__99 __pyx_mstate_global->__pyx_tuple__99
#define __pyx_codeobj__3 __pyx_mstate_global->__pyx_codeobj__3
#define __pyx_codeobj__7 __pyx_mstate_global->__pyx_codeobj__7
#define __pyx_tuple__101 __pyx_mstate_global->__pyx_tuple__101
#define __pyx_tuple__103 __pyx_mstate_global->__pyx_tuple__103
#define __pyx_codeobj__13 __pyx_mstate_global->__pyx_codeobj__13
#define __pyx_codeobj__16 __pyx_mstate_global->__pyx_codeobj__16
#define __pyx_codeobj__18 __pyx_mstate_global->__pyx_codeobj__18
#define __pyx_codeobj__20 __pyx_mstate_global->__pyx_codeobj__20
#define __pyx_codeobj__22 __pyx_mstate_global->__pyx_codeobj__22
#define __pyx_codeobj__24 __pyx_mstate_global->__pyx_codeobj__24
#define __pyx_codeobj__25 __pyx_mstate_global->__pyx_codeobj__25
#define __pyx_codeobj__27 __pyx_mstate_global->__pyx_codeobj__27
#define __pyx_codeobj__29 __pyx_mstate_global->__pyx_codeobj__29
#define __pyx_codeobj__31 __pyx_mstate_global->__pyx_codeobj__31
#define __pyx_codeobj__33 __pyx_mstate_global->__pyx_codeobj__33
#define __pyx_codeobj__35 __pyx_mstate_global->__pyx_codeobj__35
#define __pyx_codeobj__37 __pyx_mstate_global->__pyx_codeobj__37
#define __pyx_codeobj__39 __pyx_mstate_global->__pyx_codeobj__39
#define __pyx_codeobj__41 __pyx_mstate_global->__pyx_codeobj__41
#define __pyx_codeobj__43 __pyx_mstate_global->__pyx_codeobj__43
#define __pyx_codeobj__45 __pyx_mstate_global->__pyx_codeobj__45
#define __pyx_codeobj__47 __pyx_mstate_global->__pyx_codeobj__47
#define __pyx_codeobj__49 __pyx_mstate_global->__pyx_codeobj__49
#define __pyx_codeobj__51 __pyx_mstate_global->__pyx_codeobj__51
#define __pyx_codeobj__54 __pyx_mstate_global->__pyx_codeobj__54
#define __pyx_codeobj__56 __pyx_mstate_global->__pyx_codeobj__56
#define __pyx_codeobj__58 __pyx_mstate_global->__pyx_codeobj__58
#define __pyx_codeobj__60 __pyx_mstate_global->__pyx_codeobj__60
#define __pyx_codeobj__62 __pyx_mstate_global->__pyx_codeobj__62
#define __pyx_codeobj__64 __pyx_mstate_global->__pyx_codeobj__64
#define __pyx_codeobj__66 __pyx_mstate_global->__pyx_codeobj__66
#define __pyx_codeobj__68 __pyx_mstate_global->__pyx_codeobj__68
#define __pyx_codeobj__70 __pyx_mstate_global->__pyx_codeobj__70
#define __pyx_codeobj__72 __pyx_mstate_global->__pyx_codeobj__72
#define __pyx_codeobj__74 __pyx_mstate_global->__pyx_codeobj__74
#define __pyx_codeobj__76 __pyx_mstate_global->__pyx_codeobj__76
#define __pyx_codeobj__78 __pyx_mstate_global->__pyx_codeobj__78
#define __pyx_codeobj__80 __pyx_mstate_global->__pyx_codeobj__80
#define __pyx_codeobj__82 __pyx_mstate_global->__pyx_codeobj__82
#define __pyx_codeobj__84 __pyx_mstate_global->__pyx_codeobj__84
#define __pyx_codeobj__86 __pyx_mstate_global->__pyx_codeobj__86
#define __pyx_codeobj__88 __pyx_mstate_global->__pyx_codeobj__88
#define __pyx_codeobj__90 __pyx_mstate_global->__pyx_codeobj__90
#define __pyx_codeobj__93 __pyx_mstate_global->__pyx_codeobj__93
#define __pyx_codeobj__96 __pyx_mstate_global->__pyx_codeobj__96
#define __pyx_codeobj__98 __pyx_mstate_global->__pyx_codeobj__98
#define __pyx_codeobj__100 __pyx_mstate_global->__pyx_codeobj__100
#define __pyx_codeobj__102 __pyx_mstate_global->__pyx_codeobj__102
#define __pyx_codeobj__104 __pyx_mstate_global->__pyx_codeobj__104
/* #### Code section: module_code ### */

/* "fontTools/misc/bezierTools.py":56
 * 
 * 
 * def calcCubicArcLength(pt1, pt2, pt3, pt4, tolerance=0.005):             # <<<<<<<<<<<<<<
 *     """Calculates the arc length for a cubic Bezier segment.
 * 
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_1calcCubicArcLength(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_calcCubicArcLength, "calcCubicArcLength(pt1, pt2, pt3, pt4, tolerance=0.005)\nCalculates the arc length for a cubic Bezier segment.\n\n    Whereas :func:`approximateCubicArcLength` approximates the length, this\n    function calculates it by \"measuring\", recursively dividing the curve\n    until the divided segments are shorter than ``tolerance``.\n\n    Args:\n        pt1,pt2,pt3,pt4: Control points of the Bezier as 2D tuples.\n        tolerance: Controls the precision of the calcuation.\n\n    Returns:\n        Arc length value.\n    ");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_1calcCubicArcLength = {"calcCubicArcLength", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_1calcCubicArcLength, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_calcCubicArcLength};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_1calcCubicArcLength(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_pt1 = 0;
  PyObject *__pyx_v_pt2 = 0;
  PyObject *__pyx_v_pt3 = 0;
  PyObject *__pyx_v_pt4 = 0;
  PyObject *__pyx_v_tolerance = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[5] = {0,0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("calcCubicArcLength (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_pt1,&__pyx_n_s_pt2,&__pyx_n_s_pt3,&__pyx_n_s_pt4,&__pyx_n_s_tolerance,0};
    values[4] = __Pyx_Arg_NewRef_FASTCALL(((PyObject *)((PyObject*)__pyx_float_0_005)));
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  5: values[4] = __Pyx_Arg_FASTCALL(__pyx_args, 4);
        CYTHON_FALLTHROUGH;
        case  4: values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt1)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 56, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt2)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[1]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 56, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("calcCubicArcLength", 0, 4, 5, 1); __PYX_ERR(0, 56, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt3)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[2]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 56, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("calcCubicArcLength", 0, 4, 5, 2); __PYX_ERR(0, 56, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  3:
        if (likely((values[3] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt4)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[3]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 56, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("calcCubicArcLength", 0, 4, 5, 3); __PYX_ERR(0, 56, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  4:
        if (kw_args > 0) {
          PyObject* value = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_tolerance);
          if (value) { values[4] = __Pyx_Arg_NewRef_FASTCALL(value); kw_args--; }
          else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 56, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "calcCubicArcLength") < 0)) __PYX_ERR(0, 56, __pyx_L3_error)
      }
    } else {
      switch (__pyx_nargs) {
        case  5: values[4] = __Pyx_Arg_FASTCALL(__pyx_args, 4);
        CYTHON_FALLTHROUGH;
        case  4: values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
        values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
        values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        break;
        default: goto __pyx_L5_argtuple_error;
      }
    }
    __pyx_v_pt1 = values[0];
    __pyx_v_pt2 = values[1];
    __pyx_v_pt3 = values[2];
    __pyx_v_pt4 = values[3];
    __pyx_v_tolerance = values[4];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("calcCubicArcLength", 0, 4, 5, __pyx_nargs); __PYX_ERR(0, 56, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.calcCubicArcLength", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_calcCubicArcLength(__pyx_self, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3, __pyx_v_pt4, __pyx_v_tolerance);

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_calcCubicArcLength(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_pt4, PyObject *__pyx_v_tolerance) {
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  PyObject *__pyx_t_6 = NULL;
  PyObject *__pyx_t_7 = NULL;
  int __pyx_t_8;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("calcCubicArcLength", 1);

  /* "fontTools/misc/bezierTools.py":70
 *         Arc length value.
 *     """
 *     return calcCubicArcLengthC(             # <<<<<<<<<<<<<<
 *         complex(*pt1), complex(*pt2), complex(*pt3), complex(*pt4), tolerance
 *     )
 */
  __Pyx_XDECREF(__pyx_r);
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_calcCubicArcLengthC); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 70, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);

  /* "fontTools/misc/bezierTools.py":71
 *     """
 *     return calcCubicArcLengthC(
 *         complex(*pt1), complex(*pt2), complex(*pt3), complex(*pt4), tolerance             # <<<<<<<<<<<<<<
 *     )
 * 
 */
  __pyx_t_3 = __Pyx_PySequence_Tuple(__pyx_v_pt1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 71, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_4 = __Pyx_PyObject_Call(((PyObject *)(&PyComplex_Type)), __pyx_t_3, NULL); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 71, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = __Pyx_PySequence_Tuple(__pyx_v_pt2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 71, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_5 = __Pyx_PyObject_Call(((PyObject *)(&PyComplex_Type)), __pyx_t_3, NULL); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 71, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = __Pyx_PySequence_Tuple(__pyx_v_pt3); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 71, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_6 = __Pyx_PyObject_Call(((PyObject *)(&PyComplex_Type)), __pyx_t_3, NULL); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 71, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = __Pyx_PySequence_Tuple(__pyx_v_pt4); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 71, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_7 = __Pyx_PyObject_Call(((PyObject *)(&PyComplex_Type)), __pyx_t_3, NULL); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 71, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_7);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = NULL;
  __pyx_t_8 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_2))) {
    __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_2);
    if (likely(__pyx_t_3)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_2);
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_2, function);
      __pyx_t_8 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[6] = {__pyx_t_3, __pyx_t_4, __pyx_t_5, __pyx_t_6, __pyx_t_7, __pyx_v_tolerance};
    __pyx_t_1 = __Pyx_PyObject_FastCall(__pyx_t_2, __pyx_callargs+1-__pyx_t_8, 5+__pyx_t_8);
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 70, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  }
  __pyx_r = __pyx_t_1;
  __pyx_t_1 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":56
 * 
 * 
 * def calcCubicArcLength(pt1, pt2, pt3, pt4, tolerance=0.005):             # <<<<<<<<<<<<<<
 *     """Calculates the arc length for a cubic Bezier segment.
 * 
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_XDECREF(__pyx_t_7);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.calcCubicArcLength", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":75
 * 
 * 
 * def _split_cubic_into_two(p0, p1, p2, p3):             # <<<<<<<<<<<<<<
 *     mid = (p0 + 3 * (p1 + p2) + p3) * 0.125
 *     deriv3 = (p3 + p2 - p1 - p0) * 0.125
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_3_split_cubic_into_two(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_2_split_cubic_into_two, "_split_cubic_into_two(p0, p1, p2, p3)");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_3_split_cubic_into_two = {"_split_cubic_into_two", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_3_split_cubic_into_two, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_2_split_cubic_into_two};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_3_split_cubic_into_two(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_p0 = 0;
  PyObject *__pyx_v_p1 = 0;
  PyObject *__pyx_v_p2 = 0;
  PyObject *__pyx_v_p3 = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[4] = {0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("_split_cubic_into_two (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_p0,&__pyx_n_s_p1,&__pyx_n_s_p2,&__pyx_n_s_p3,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  4: values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_p0)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 75, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_p1)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[1]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 75, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("_split_cubic_into_two", 1, 4, 4, 1); __PYX_ERR(0, 75, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_p2)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[2]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 75, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("_split_cubic_into_two", 1, 4, 4, 2); __PYX_ERR(0, 75, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  3:
        if (likely((values[3] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_p3)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[3]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 75, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("_split_cubic_into_two", 1, 4, 4, 3); __PYX_ERR(0, 75, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "_split_cubic_into_two") < 0)) __PYX_ERR(0, 75, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs != 4)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
      values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
      values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
      values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
    }
    __pyx_v_p0 = values[0];
    __pyx_v_p1 = values[1];
    __pyx_v_p2 = values[2];
    __pyx_v_p3 = values[3];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("_split_cubic_into_two", 1, 4, 4, __pyx_nargs); __PYX_ERR(0, 75, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools._split_cubic_into_two", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_2_split_cubic_into_two(__pyx_self, __pyx_v_p0, __pyx_v_p1, __pyx_v_p2, __pyx_v_p3);

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_2_split_cubic_into_two(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_p0, PyObject *__pyx_v_p1, PyObject *__pyx_v_p2, PyObject *__pyx_v_p3) {
  PyObject *__pyx_v_mid = NULL;
  PyObject *__pyx_v_deriv3 = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("_split_cubic_into_two", 1);

  /* "fontTools/misc/bezierTools.py":76
 * 
 * def _split_cubic_into_two(p0, p1, p2, p3):
 *     mid = (p0 + 3 * (p1 + p2) + p3) * 0.125             # <<<<<<<<<<<<<<
 *     deriv3 = (p3 + p2 - p1 - p0) * 0.125
 *     return (
 */
  __pyx_t_1 = PyNumber_Add(__pyx_v_p1, __pyx_v_p2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 76, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __Pyx_PyInt_MultiplyCObj(__pyx_int_3, __pyx_t_1, 3, 0, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 76, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyNumber_Add(__pyx_v_p0, __pyx_t_2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 76, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = PyNumber_Add(__pyx_t_1, __pyx_v_p3); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 76, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyNumber_Multiply(__pyx_t_2, __pyx_float_0_125); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 76, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_v_mid = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":77
 * def _split_cubic_into_two(p0, p1, p2, p3):
 *     mid = (p0 + 3 * (p1 + p2) + p3) * 0.125
 *     deriv3 = (p3 + p2 - p1 - p0) * 0.125             # <<<<<<<<<<<<<<
 *     return (
 *         (p0, (p0 + p1) * 0.5, mid - deriv3, mid),
 */
  __pyx_t_1 = PyNumber_Add(__pyx_v_p3, __pyx_v_p2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 77, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = PyNumber_Subtract(__pyx_t_1, __pyx_v_p1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 77, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyNumber_Subtract(__pyx_t_2, __pyx_v_p0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 77, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = PyNumber_Multiply(__pyx_t_1, __pyx_float_0_125); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 77, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_v_deriv3 = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":78
 *     mid = (p0 + 3 * (p1 + p2) + p3) * 0.125
 *     deriv3 = (p3 + p2 - p1 - p0) * 0.125
 *     return (             # <<<<<<<<<<<<<<
 *         (p0, (p0 + p1) * 0.5, mid - deriv3, mid),
 *         (mid, mid + deriv3, (p2 + p3) * 0.5, p3),
 */
  __Pyx_XDECREF(__pyx_r);

  /* "fontTools/misc/bezierTools.py":79
 *     deriv3 = (p3 + p2 - p1 - p0) * 0.125
 *     return (
 *         (p0, (p0 + p1) * 0.5, mid - deriv3, mid),             # <<<<<<<<<<<<<<
 *         (mid, mid + deriv3, (p2 + p3) * 0.5, p3),
 *     )
 */
  __pyx_t_2 = PyNumber_Add(__pyx_v_p0, __pyx_v_p1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 79, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_1 = PyNumber_Multiply(__pyx_t_2, __pyx_float_0_5); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 79, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = PyNumber_Subtract(__pyx_v_mid, __pyx_v_deriv3); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 79, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = PyTuple_New(4); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 79, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_INCREF(__pyx_v_p0);
  __Pyx_GIVEREF(__pyx_v_p0);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_v_p0)) __PYX_ERR(0, 79, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_1);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_t_1)) __PYX_ERR(0, 79, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_2);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 2, __pyx_t_2)) __PYX_ERR(0, 79, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_mid);
  __Pyx_GIVEREF(__pyx_v_mid);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 3, __pyx_v_mid)) __PYX_ERR(0, 79, __pyx_L1_error);
  __pyx_t_1 = 0;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":80
 *     return (
 *         (p0, (p0 + p1) * 0.5, mid - deriv3, mid),
 *         (mid, mid + deriv3, (p2 + p3) * 0.5, p3),             # <<<<<<<<<<<<<<
 *     )
 * 
 */
  __pyx_t_2 = PyNumber_Add(__pyx_v_mid, __pyx_v_deriv3); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 80, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_1 = PyNumber_Add(__pyx_v_p2, __pyx_v_p3); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 80, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_4 = PyNumber_Multiply(__pyx_t_1, __pyx_float_0_5); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 80, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyTuple_New(4); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 80, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_INCREF(__pyx_v_mid);
  __Pyx_GIVEREF(__pyx_v_mid);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_v_mid)) __PYX_ERR(0, 80, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_2);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_t_2)) __PYX_ERR(0, 80, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_4);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 2, __pyx_t_4)) __PYX_ERR(0, 80, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_p3);
  __Pyx_GIVEREF(__pyx_v_p3);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 3, __pyx_v_p3)) __PYX_ERR(0, 80, __pyx_L1_error);
  __pyx_t_2 = 0;
  __pyx_t_4 = 0;

  /* "fontTools/misc/bezierTools.py":79
 *     deriv3 = (p3 + p2 - p1 - p0) * 0.125
 *     return (
 *         (p0, (p0 + p1) * 0.5, mid - deriv3, mid),             # <<<<<<<<<<<<<<
 *         (mid, mid + deriv3, (p2 + p3) * 0.5, p3),
 *     )
 */
  __pyx_t_4 = PyTuple_New(2); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 79, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __Pyx_GIVEREF(__pyx_t_3);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_4, 0, __pyx_t_3)) __PYX_ERR(0, 79, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_1);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_4, 1, __pyx_t_1)) __PYX_ERR(0, 79, __pyx_L1_error);
  __pyx_t_3 = 0;
  __pyx_t_1 = 0;
  __pyx_r = __pyx_t_4;
  __pyx_t_4 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":75
 * 
 * 
 * def _split_cubic_into_two(p0, p1, p2, p3):             # <<<<<<<<<<<<<<
 *     mid = (p0 + 3 * (p1 + p2) + p3) * 0.125
 *     deriv3 = (p3 + p2 - p1 - p0) * 0.125
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_AddTraceback("fontTools.misc.bezierTools._split_cubic_into_two", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_mid);
  __Pyx_XDECREF(__pyx_v_deriv3);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":84
 * 
 * 
 * @cython.returns(cython.double)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     p0=cython.complex,
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_5_calcCubicArcLengthCRecurse(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_4_calcCubicArcLengthCRecurse, "_calcCubicArcLengthCRecurse(double mult, double complex p0, double complex p1, double complex p2, double complex p3)");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_5_calcCubicArcLengthCRecurse = {"_calcCubicArcLengthCRecurse", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_5_calcCubicArcLengthCRecurse, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_4_calcCubicArcLengthCRecurse};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_5_calcCubicArcLengthCRecurse(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  double __pyx_v_mult;
  __pyx_t_double_complex __pyx_v_p0;
  __pyx_t_double_complex __pyx_v_p1;
  __pyx_t_double_complex __pyx_v_p2;
  __pyx_t_double_complex __pyx_v_p3;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[5] = {0,0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("_calcCubicArcLengthCRecurse (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_mult,&__pyx_n_s_p0,&__pyx_n_s_p1,&__pyx_n_s_p2,&__pyx_n_s_p3,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  5: values[4] = __Pyx_Arg_FASTCALL(__pyx_args, 4);
        CYTHON_FALLTHROUGH;
        case  4: values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_mult)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 84, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_p0)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[1]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 84, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("_calcCubicArcLengthCRecurse", 1, 5, 5, 1); __PYX_ERR(0, 84, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_p1)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[2]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 84, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("_calcCubicArcLengthCRecurse", 1, 5, 5, 2); __PYX_ERR(0, 84, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  3:
        if (likely((values[3] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_p2)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[3]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 84, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("_calcCubicArcLengthCRecurse", 1, 5, 5, 3); __PYX_ERR(0, 84, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  4:
        if (likely((values[4] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_p3)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[4]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 84, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("_calcCubicArcLengthCRecurse", 1, 5, 5, 4); __PYX_ERR(0, 84, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "_calcCubicArcLengthCRecurse") < 0)) __PYX_ERR(0, 84, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs != 5)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
      values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
      values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
      values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
      values[4] = __Pyx_Arg_FASTCALL(__pyx_args, 4);
    }
    __pyx_v_mult = __pyx_PyFloat_AsDouble(values[0]); if (unlikely((__pyx_v_mult == (double)-1) && PyErr_Occurred())) __PYX_ERR(0, 92, __pyx_L3_error)
    __pyx_v_p0 = __Pyx_PyComplex_As___pyx_t_double_complex(values[1]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 92, __pyx_L3_error)
    __pyx_v_p1 = __Pyx_PyComplex_As___pyx_t_double_complex(values[2]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 92, __pyx_L3_error)
    __pyx_v_p2 = __Pyx_PyComplex_As___pyx_t_double_complex(values[3]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 92, __pyx_L3_error)
    __pyx_v_p3 = __Pyx_PyComplex_As___pyx_t_double_complex(values[4]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 92, __pyx_L3_error)
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("_calcCubicArcLengthCRecurse", 1, 5, 5, __pyx_nargs); __PYX_ERR(0, 84, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools._calcCubicArcLengthCRecurse", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_4_calcCubicArcLengthCRecurse(__pyx_self, __pyx_v_mult, __pyx_v_p0, __pyx_v_p1, __pyx_v_p2, __pyx_v_p3);

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_4_calcCubicArcLengthCRecurse(CYTHON_UNUSED PyObject *__pyx_self, double __pyx_v_mult, __pyx_t_double_complex __pyx_v_p0, __pyx_t_double_complex __pyx_v_p1, __pyx_t_double_complex __pyx_v_p2, __pyx_t_double_complex __pyx_v_p3) {
  double __pyx_v_arch;
  double __pyx_v_box;
  PyObject *__pyx_v_one = NULL;
  PyObject *__pyx_v_two = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  int __pyx_t_1;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  PyObject *__pyx_t_6 = NULL;
  PyObject *__pyx_t_7 = NULL;
  PyObject *__pyx_t_8 = NULL;
  int __pyx_t_9;
  PyObject *(*__pyx_t_10)(PyObject *);
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("_calcCubicArcLengthCRecurse", 1);

  /* "fontTools/misc/bezierTools.py":93
 * @cython.locals(mult=cython.double, arch=cython.double, box=cython.double)
 * def _calcCubicArcLengthCRecurse(mult, p0, p1, p2, p3):
 *     arch = abs(p0 - p3)             # <<<<<<<<<<<<<<
 *     box = abs(p0 - p1) + abs(p1 - p2) + abs(p2 - p3)
 *     if arch * mult >= box:
 */
  __pyx_v_arch = __Pyx_c_abs_double(__Pyx_c_diff_double(__pyx_v_p0, __pyx_v_p3));

  /* "fontTools/misc/bezierTools.py":94
 * def _calcCubicArcLengthCRecurse(mult, p0, p1, p2, p3):
 *     arch = abs(p0 - p3)
 *     box = abs(p0 - p1) + abs(p1 - p2) + abs(p2 - p3)             # <<<<<<<<<<<<<<
 *     if arch * mult >= box:
 *         return (arch + box) * 0.5
 */
  __pyx_v_box = ((__Pyx_c_abs_double(__Pyx_c_diff_double(__pyx_v_p0, __pyx_v_p1)) + __Pyx_c_abs_double(__Pyx_c_diff_double(__pyx_v_p1, __pyx_v_p2))) + __Pyx_c_abs_double(__Pyx_c_diff_double(__pyx_v_p2, __pyx_v_p3)));

  /* "fontTools/misc/bezierTools.py":95
 *     arch = abs(p0 - p3)
 *     box = abs(p0 - p1) + abs(p1 - p2) + abs(p2 - p3)
 *     if arch * mult >= box:             # <<<<<<<<<<<<<<
 *         return (arch + box) * 0.5
 *     else:
 */
  __pyx_t_1 = ((__pyx_v_arch * __pyx_v_mult) >= __pyx_v_box);
  if (__pyx_t_1) {

    /* "fontTools/misc/bezierTools.py":96
 *     box = abs(p0 - p1) + abs(p1 - p2) + abs(p2 - p3)
 *     if arch * mult >= box:
 *         return (arch + box) * 0.5             # <<<<<<<<<<<<<<
 *     else:
 *         one, two = _split_cubic_into_two(p0, p1, p2, p3)
 */
    __Pyx_XDECREF(__pyx_r);
    __pyx_t_2 = PyFloat_FromDouble(((__pyx_v_arch + __pyx_v_box) * 0.5)); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 96, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_r = __pyx_t_2;
    __pyx_t_2 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":95
 *     arch = abs(p0 - p3)
 *     box = abs(p0 - p1) + abs(p1 - p2) + abs(p2 - p3)
 *     if arch * mult >= box:             # <<<<<<<<<<<<<<
 *         return (arch + box) * 0.5
 *     else:
 */
  }

  /* "fontTools/misc/bezierTools.py":98
 *         return (arch + box) * 0.5
 *     else:
 *         one, two = _split_cubic_into_two(p0, p1, p2, p3)             # <<<<<<<<<<<<<<
 *         return _calcCubicArcLengthCRecurse(mult, *one) + _calcCubicArcLengthCRecurse(
 *             mult, *two
 */
  /*else*/ {
    __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_split_cubic_into_two); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 98, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = __pyx_PyComplex_FromComplex(__pyx_v_p0); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 98, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_5 = __pyx_PyComplex_FromComplex(__pyx_v_p1); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 98, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __pyx_t_6 = __pyx_PyComplex_FromComplex(__pyx_v_p2); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 98, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __pyx_t_7 = __pyx_PyComplex_FromComplex(__pyx_v_p3); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 98, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __pyx_t_8 = NULL;
    __pyx_t_9 = 0;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_3))) {
      __pyx_t_8 = PyMethod_GET_SELF(__pyx_t_3);
      if (likely(__pyx_t_8)) {
        PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_3);
        __Pyx_INCREF(__pyx_t_8);
        __Pyx_INCREF(function);
        __Pyx_DECREF_SET(__pyx_t_3, function);
        __pyx_t_9 = 1;
      }
    }
    #endif
    {
      PyObject *__pyx_callargs[5] = {__pyx_t_8, __pyx_t_4, __pyx_t_5, __pyx_t_6, __pyx_t_7};
      __pyx_t_2 = __Pyx_PyObject_FastCall(__pyx_t_3, __pyx_callargs+1-__pyx_t_9, 4+__pyx_t_9);
      __Pyx_XDECREF(__pyx_t_8); __pyx_t_8 = 0;
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
      __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
      __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 98, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_2);
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    }
    if ((likely(PyTuple_CheckExact(__pyx_t_2))) || (PyList_CheckExact(__pyx_t_2))) {
      PyObject* sequence = __pyx_t_2;
      Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
      if (unlikely(size != 2)) {
        if (size > 2) __Pyx_RaiseTooManyValuesError(2);
        else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
        __PYX_ERR(0, 98, __pyx_L1_error)
      }
      #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
      if (likely(PyTuple_CheckExact(sequence))) {
        __pyx_t_3 = PyTuple_GET_ITEM(sequence, 0); 
        __pyx_t_7 = PyTuple_GET_ITEM(sequence, 1); 
      } else {
        __pyx_t_3 = PyList_GET_ITEM(sequence, 0); 
        __pyx_t_7 = PyList_GET_ITEM(sequence, 1); 
      }
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_INCREF(__pyx_t_7);
      #else
      __pyx_t_3 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 98, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
      __pyx_t_7 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 98, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_7);
      #endif
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    } else {
      Py_ssize_t index = -1;
      __pyx_t_6 = PyObject_GetIter(__pyx_t_2); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 98, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_6);
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
      __pyx_t_10 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_6);
      index = 0; __pyx_t_3 = __pyx_t_10(__pyx_t_6); if (unlikely(!__pyx_t_3)) goto __pyx_L4_unpacking_failed;
      __Pyx_GOTREF(__pyx_t_3);
      index = 1; __pyx_t_7 = __pyx_t_10(__pyx_t_6); if (unlikely(!__pyx_t_7)) goto __pyx_L4_unpacking_failed;
      __Pyx_GOTREF(__pyx_t_7);
      if (__Pyx_IternextUnpackEndCheck(__pyx_t_10(__pyx_t_6), 2) < 0) __PYX_ERR(0, 98, __pyx_L1_error)
      __pyx_t_10 = NULL;
      __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
      goto __pyx_L5_unpacking_done;
      __pyx_L4_unpacking_failed:;
      __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
      __pyx_t_10 = NULL;
      if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
      __PYX_ERR(0, 98, __pyx_L1_error)
      __pyx_L5_unpacking_done:;
    }
    __pyx_v_one = __pyx_t_3;
    __pyx_t_3 = 0;
    __pyx_v_two = __pyx_t_7;
    __pyx_t_7 = 0;

    /* "fontTools/misc/bezierTools.py":99
 *     else:
 *         one, two = _split_cubic_into_two(p0, p1, p2, p3)
 *         return _calcCubicArcLengthCRecurse(mult, *one) + _calcCubicArcLengthCRecurse(             # <<<<<<<<<<<<<<
 *             mult, *two
 *         )
 */
    __Pyx_XDECREF(__pyx_r);
    __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_calcCubicArcLengthCRecurse); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 99, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_7 = PyFloat_FromDouble(__pyx_v_mult); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 99, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __pyx_t_3 = PyTuple_New(1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 99, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_GIVEREF(__pyx_t_7);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_7)) __PYX_ERR(0, 99, __pyx_L1_error);
    __pyx_t_7 = 0;
    __pyx_t_7 = __Pyx_PySequence_Tuple(__pyx_v_one); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 99, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __pyx_t_6 = PyNumber_Add(__pyx_t_3, __pyx_t_7); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 99, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    __pyx_t_7 = __Pyx_PyObject_Call(__pyx_t_2, __pyx_t_6, NULL); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 99, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __Pyx_GetModuleGlobalName(__pyx_t_6, __pyx_n_s_calcCubicArcLengthCRecurse); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 99, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);

    /* "fontTools/misc/bezierTools.py":100
 *         one, two = _split_cubic_into_two(p0, p1, p2, p3)
 *         return _calcCubicArcLengthCRecurse(mult, *one) + _calcCubicArcLengthCRecurse(
 *             mult, *two             # <<<<<<<<<<<<<<
 *         )
 * 
 */
    __pyx_t_2 = PyFloat_FromDouble(__pyx_v_mult); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 100, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);

    /* "fontTools/misc/bezierTools.py":99
 *     else:
 *         one, two = _split_cubic_into_two(p0, p1, p2, p3)
 *         return _calcCubicArcLengthCRecurse(mult, *one) + _calcCubicArcLengthCRecurse(             # <<<<<<<<<<<<<<
 *             mult, *two
 *         )
 */
    __pyx_t_3 = PyTuple_New(1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 99, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_GIVEREF(__pyx_t_2);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_2)) __PYX_ERR(0, 99, __pyx_L1_error);
    __pyx_t_2 = 0;

    /* "fontTools/misc/bezierTools.py":100
 *         one, two = _split_cubic_into_two(p0, p1, p2, p3)
 *         return _calcCubicArcLengthCRecurse(mult, *one) + _calcCubicArcLengthCRecurse(
 *             mult, *two             # <<<<<<<<<<<<<<
 *         )
 * 
 */
    __pyx_t_2 = __Pyx_PySequence_Tuple(__pyx_v_two); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 99, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);

    /* "fontTools/misc/bezierTools.py":99
 *     else:
 *         one, two = _split_cubic_into_two(p0, p1, p2, p3)
 *         return _calcCubicArcLengthCRecurse(mult, *one) + _calcCubicArcLengthCRecurse(             # <<<<<<<<<<<<<<
 *             mult, *two
 *         )
 */
    __pyx_t_5 = PyNumber_Add(__pyx_t_3, __pyx_t_2); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 99, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_t_2 = __Pyx_PyObject_Call(__pyx_t_6, __pyx_t_5, NULL); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 99, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __pyx_t_5 = PyNumber_Add(__pyx_t_7, __pyx_t_2); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 99, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_r = __pyx_t_5;
    __pyx_t_5 = 0;
    goto __pyx_L0;
  }

  /* "fontTools/misc/bezierTools.py":84
 * 
 * 
 * @cython.returns(cython.double)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     p0=cython.complex,
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_XDECREF(__pyx_t_7);
  __Pyx_XDECREF(__pyx_t_8);
  __Pyx_AddTraceback("fontTools.misc.bezierTools._calcCubicArcLengthCRecurse", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_one);
  __Pyx_XDECREF(__pyx_v_two);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":104
 * 
 * 
 * @cython.returns(cython.double)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     pt1=cython.complex,
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_7calcCubicArcLengthC(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_6calcCubicArcLengthC, "calcCubicArcLengthC(double complex pt1, double complex pt2, double complex pt3, double complex pt4, double tolerance=0.005)\nCalculates the arc length for a cubic Bezier segment.\n\n    Args:\n        pt1,pt2,pt3,pt4: Control points of the Bezier as complex numbers.\n        tolerance: Controls the precision of the calcuation.\n\n    Returns:\n        Arc length value.\n    ");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_7calcCubicArcLengthC = {"calcCubicArcLengthC", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_7calcCubicArcLengthC, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_6calcCubicArcLengthC};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_7calcCubicArcLengthC(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  __pyx_t_double_complex __pyx_v_pt1;
  __pyx_t_double_complex __pyx_v_pt2;
  __pyx_t_double_complex __pyx_v_pt3;
  __pyx_t_double_complex __pyx_v_pt4;
  double __pyx_v_tolerance;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[5] = {0,0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("calcCubicArcLengthC (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_pt1,&__pyx_n_s_pt2,&__pyx_n_s_pt3,&__pyx_n_s_pt4,&__pyx_n_s_tolerance,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  5: values[4] = __Pyx_Arg_FASTCALL(__pyx_args, 4);
        CYTHON_FALLTHROUGH;
        case  4: values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt1)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 104, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt2)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[1]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 104, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("calcCubicArcLengthC", 0, 4, 5, 1); __PYX_ERR(0, 104, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt3)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[2]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 104, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("calcCubicArcLengthC", 0, 4, 5, 2); __PYX_ERR(0, 104, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  3:
        if (likely((values[3] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt4)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[3]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 104, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("calcCubicArcLengthC", 0, 4, 5, 3); __PYX_ERR(0, 104, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  4:
        if (kw_args > 0) {
          PyObject* value = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_tolerance);
          if (value) { values[4] = __Pyx_Arg_NewRef_FASTCALL(value); kw_args--; }
          else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 104, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "calcCubicArcLengthC") < 0)) __PYX_ERR(0, 104, __pyx_L3_error)
      }
    } else {
      switch (__pyx_nargs) {
        case  5: values[4] = __Pyx_Arg_FASTCALL(__pyx_args, 4);
        CYTHON_FALLTHROUGH;
        case  4: values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
        values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
        values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        break;
        default: goto __pyx_L5_argtuple_error;
      }
    }
    __pyx_v_pt1 = __Pyx_PyComplex_As___pyx_t_double_complex(values[0]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 115, __pyx_L3_error)
    __pyx_v_pt2 = __Pyx_PyComplex_As___pyx_t_double_complex(values[1]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 115, __pyx_L3_error)
    __pyx_v_pt3 = __Pyx_PyComplex_As___pyx_t_double_complex(values[2]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 115, __pyx_L3_error)
    __pyx_v_pt4 = __Pyx_PyComplex_As___pyx_t_double_complex(values[3]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 115, __pyx_L3_error)
    if (values[4]) {
      __pyx_v_tolerance = __pyx_PyFloat_AsDouble(values[4]); if (unlikely((__pyx_v_tolerance == (double)-1) && PyErr_Occurred())) __PYX_ERR(0, 115, __pyx_L3_error)
    } else {
      __pyx_v_tolerance = ((double)((double)0.005));
    }
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("calcCubicArcLengthC", 0, 4, 5, __pyx_nargs); __PYX_ERR(0, 104, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.calcCubicArcLengthC", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_6calcCubicArcLengthC(__pyx_self, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3, __pyx_v_pt4, __pyx_v_tolerance);

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_6calcCubicArcLengthC(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_double_complex __pyx_v_pt1, __pyx_t_double_complex __pyx_v_pt2, __pyx_t_double_complex __pyx_v_pt3, __pyx_t_double_complex __pyx_v_pt4, double __pyx_v_tolerance) {
  double __pyx_v_mult;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  PyObject *__pyx_t_6 = NULL;
  PyObject *__pyx_t_7 = NULL;
  PyObject *__pyx_t_8 = NULL;
  int __pyx_t_9;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("calcCubicArcLengthC", 1);

  /* "fontTools/misc/bezierTools.py":125
 *         Arc length value.
 *     """
 *     mult = 1.0 + 1.5 * tolerance  # The 1.5 is a empirical hack; no math             # <<<<<<<<<<<<<<
 *     return _calcCubicArcLengthCRecurse(mult, pt1, pt2, pt3, pt4)
 * 
 */
  __pyx_v_mult = (1.0 + (1.5 * __pyx_v_tolerance));

  /* "fontTools/misc/bezierTools.py":126
 *     """
 *     mult = 1.0 + 1.5 * tolerance  # The 1.5 is a empirical hack; no math
 *     return _calcCubicArcLengthCRecurse(mult, pt1, pt2, pt3, pt4)             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __Pyx_XDECREF(__pyx_r);
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_calcCubicArcLengthCRecurse); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 126, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = PyFloat_FromDouble(__pyx_v_mult); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 126, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_4 = __pyx_PyComplex_FromComplex(__pyx_v_pt1); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 126, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_5 = __pyx_PyComplex_FromComplex(__pyx_v_pt2); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 126, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __pyx_t_6 = __pyx_PyComplex_FromComplex(__pyx_v_pt3); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 126, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __pyx_t_7 = __pyx_PyComplex_FromComplex(__pyx_v_pt4); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 126, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_7);
  __pyx_t_8 = NULL;
  __pyx_t_9 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_2))) {
    __pyx_t_8 = PyMethod_GET_SELF(__pyx_t_2);
    if (likely(__pyx_t_8)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_2);
      __Pyx_INCREF(__pyx_t_8);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_2, function);
      __pyx_t_9 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[6] = {__pyx_t_8, __pyx_t_3, __pyx_t_4, __pyx_t_5, __pyx_t_6, __pyx_t_7};
    __pyx_t_1 = __Pyx_PyObject_FastCall(__pyx_t_2, __pyx_callargs+1-__pyx_t_9, 5+__pyx_t_9);
    __Pyx_XDECREF(__pyx_t_8); __pyx_t_8 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 126, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  }
  __pyx_r = __pyx_t_1;
  __pyx_t_1 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":104
 * 
 * 
 * @cython.returns(cython.double)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     pt1=cython.complex,
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_XDECREF(__pyx_t_7);
  __Pyx_XDECREF(__pyx_t_8);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.calcCubicArcLengthC", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":133
 * 
 * 
 * @cython.cfunc             # <<<<<<<<<<<<<<
 * @cython.inline
 * @cython.returns(cython.double)
 */

static CYTHON_INLINE double __pyx_f_9fontTools_4misc_11bezierTools__dot(__pyx_t_double_complex __pyx_v_v1, __pyx_t_double_complex __pyx_v_v2) {
  double __pyx_r;

  /* "fontTools/misc/bezierTools.py":138
 * @cython.locals(v1=cython.complex, v2=cython.complex)
 * def _dot(v1, v2):
 *     return (v1 * v2.conjugate()).real             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_r = __Pyx_CREAL(__Pyx_c_prod_double(__pyx_v_v1, __Pyx_c_conj_double(__pyx_v_v2)));
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":133
 * 
 * 
 * @cython.cfunc             # <<<<<<<<<<<<<<
 * @cython.inline
 * @cython.returns(cython.double)
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":141
 * 
 * 
 * @cython.cfunc             # <<<<<<<<<<<<<<
 * @cython.inline
 * @cython.returns(cython.double)
 */

static CYTHON_INLINE double __pyx_f_9fontTools_4misc_11bezierTools__intSecAtan(double __pyx_v_x) {
  double __pyx_r;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  int __pyx_t_6;
  double __pyx_t_7;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("_intSecAtan", 1);

  /* "fontTools/misc/bezierTools.py":148
 *     # In : sympy.integrate(sp.sec(sp.atan(x)))
 *     # Out: x*sqrt(x**2 + 1)/2 + asinh(x)/2
 *     return x * math.sqrt(x**2 + 1) / 2 + math.asinh(x) / 2             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_t_1 = PyFloat_FromDouble(__pyx_v_x); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 148, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_math); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 148, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_4 = __Pyx_PyObject_GetAttrStr(__pyx_t_3, __pyx_n_s_sqrt); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 148, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = PyFloat_FromDouble((pow(__pyx_v_x, 2.0) + 1.0)); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 148, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_5 = NULL;
  __pyx_t_6 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_4))) {
    __pyx_t_5 = PyMethod_GET_SELF(__pyx_t_4);
    if (likely(__pyx_t_5)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_4);
      __Pyx_INCREF(__pyx_t_5);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_4, function);
      __pyx_t_6 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[2] = {__pyx_t_5, __pyx_t_3};
    __pyx_t_2 = __Pyx_PyObject_FastCall(__pyx_t_4, __pyx_callargs+1-__pyx_t_6, 1+__pyx_t_6);
    __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 148, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  }
  __pyx_t_4 = PyNumber_Multiply(__pyx_t_1, __pyx_t_2); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 148, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = __Pyx_PyInt_TrueDivideObjC(__pyx_t_4, __pyx_int_2, 2, 0, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 148, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __Pyx_GetModuleGlobalName(__pyx_t_1, __pyx_n_s_math); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 148, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_3 = __Pyx_PyObject_GetAttrStr(__pyx_t_1, __pyx_n_s_asinh); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 148, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyFloat_FromDouble(__pyx_v_x); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 148, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_5 = NULL;
  __pyx_t_6 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_3))) {
    __pyx_t_5 = PyMethod_GET_SELF(__pyx_t_3);
    if (likely(__pyx_t_5)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_3);
      __Pyx_INCREF(__pyx_t_5);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_3, function);
      __pyx_t_6 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[2] = {__pyx_t_5, __pyx_t_1};
    __pyx_t_4 = __Pyx_PyObject_FastCall(__pyx_t_3, __pyx_callargs+1-__pyx_t_6, 1+__pyx_t_6);
    __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 148, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  }
  __pyx_t_3 = __Pyx_PyInt_TrueDivideObjC(__pyx_t_4, __pyx_int_2, 2, 0, 0); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 148, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_t_4 = PyNumber_Add(__pyx_t_2, __pyx_t_3); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 148, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_7 = __pyx_PyFloat_AsDouble(__pyx_t_4); if (unlikely((__pyx_t_7 == (double)-1) && PyErr_Occurred())) __PYX_ERR(0, 148, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_r = __pyx_t_7;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":141
 * 
 * 
 * @cython.cfunc             # <<<<<<<<<<<<<<
 * @cython.inline
 * @cython.returns(cython.double)
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_AddTraceback("fontTools.misc.bezierTools._intSecAtan", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = -1;
  __pyx_L0:;
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":151
 * 
 * 
 * def calcQuadraticArcLength(pt1, pt2, pt3):             # <<<<<<<<<<<<<<
 *     """Calculates the arc length for a quadratic Bezier segment.
 * 
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_9calcQuadraticArcLength(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_8calcQuadraticArcLength, "calcQuadraticArcLength(pt1, pt2, pt3)\nCalculates the arc length for a quadratic Bezier segment.\n\n    Args:\n        pt1: Start point of the Bezier as 2D tuple.\n        pt2: Handle point of the Bezier as 2D tuple.\n        pt3: End point of the Bezier as 2D tuple.\n\n    Returns:\n        Arc length value.\n\n    Example::\n\n        >>> calcQuadraticArcLength((0, 0), (0, 0), (0, 0)) # empty segment\n        0.0\n        >>> calcQuadraticArcLength((0, 0), (50, 0), (80, 0)) # collinear points\n        80.0\n        >>> calcQuadraticArcLength((0, 0), (0, 50), (0, 80)) # collinear points vertical\n        80.0\n        >>> calcQuadraticArcLength((0, 0), (50, 20), (100, 40)) # collinear points\n        107.70329614269008\n        >>> calcQuadraticArcLength((0, 0), (0, 100), (100, 0))\n        154.02976155645263\n        >>> calcQuadraticArcLength((0, 0), (0, 50), (100, 0))\n        120.21581243984076\n        >>> calcQuadraticArcLength((0, 0), (50, -10), (80, 50))\n        102.53273816445825\n        >>> calcQuadraticArcLength((0, 0), (40, 0), (-40, 0)) # collinear points, control point outside\n        66.66666666666667\n        >>> calcQuadraticArcLength((0, 0), (40, 0), (0, 0)) # collinear points, looping back\n        40.0\n    ");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_9calcQuadraticArcLength = {"calcQuadraticArcLength", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_9calcQuadraticArcLength, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_8calcQuadraticArcLength};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_9calcQuadraticArcLength(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_pt1 = 0;
  PyObject *__pyx_v_pt2 = 0;
  PyObject *__pyx_v_pt3 = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[3] = {0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("calcQuadraticArcLength (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_pt1,&__pyx_n_s_pt2,&__pyx_n_s_pt3,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  3: values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt1)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 151, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt2)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[1]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 151, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("calcQuadraticArcLength", 1, 3, 3, 1); __PYX_ERR(0, 151, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt3)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[2]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 151, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("calcQuadraticArcLength", 1, 3, 3, 2); __PYX_ERR(0, 151, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "calcQuadraticArcLength") < 0)) __PYX_ERR(0, 151, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs != 3)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
      values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
      values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
    }
    __pyx_v_pt1 = values[0];
    __pyx_v_pt2 = values[1];
    __pyx_v_pt3 = values[2];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("calcQuadraticArcLength", 1, 3, 3, __pyx_nargs); __PYX_ERR(0, 151, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.calcQuadraticArcLength", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_8calcQuadraticArcLength(__pyx_self, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3);

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_8calcQuadraticArcLength(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3) {
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  PyObject *__pyx_t_6 = NULL;
  int __pyx_t_7;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("calcQuadraticArcLength", 1);

  /* "fontTools/misc/bezierTools.py":183
 *         40.0
 *     """
 *     return calcQuadraticArcLengthC(complex(*pt1), complex(*pt2), complex(*pt3))             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __Pyx_XDECREF(__pyx_r);
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_calcQuadraticArcLengthC); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 183, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = __Pyx_PySequence_Tuple(__pyx_v_pt1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 183, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_4 = __Pyx_PyObject_Call(((PyObject *)(&PyComplex_Type)), __pyx_t_3, NULL); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 183, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = __Pyx_PySequence_Tuple(__pyx_v_pt2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 183, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_5 = __Pyx_PyObject_Call(((PyObject *)(&PyComplex_Type)), __pyx_t_3, NULL); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 183, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = __Pyx_PySequence_Tuple(__pyx_v_pt3); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 183, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_6 = __Pyx_PyObject_Call(((PyObject *)(&PyComplex_Type)), __pyx_t_3, NULL); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 183, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = NULL;
  __pyx_t_7 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_2))) {
    __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_2);
    if (likely(__pyx_t_3)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_2);
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_2, function);
      __pyx_t_7 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[4] = {__pyx_t_3, __pyx_t_4, __pyx_t_5, __pyx_t_6};
    __pyx_t_1 = __Pyx_PyObject_FastCall(__pyx_t_2, __pyx_callargs+1-__pyx_t_7, 3+__pyx_t_7);
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 183, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  }
  __pyx_r = __pyx_t_1;
  __pyx_t_1 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":151
 * 
 * 
 * def calcQuadraticArcLength(pt1, pt2, pt3):             # <<<<<<<<<<<<<<
 *     """Calculates the arc length for a quadratic Bezier segment.
 * 
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.calcQuadraticArcLength", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":186
 * 
 * 
 * @cython.returns(cython.double)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     pt1=cython.complex,
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_11calcQuadraticArcLengthC(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_10calcQuadraticArcLengthC, "calcQuadraticArcLengthC(double complex pt1, double complex pt2, double complex pt3)\nCalculates the arc length for a quadratic Bezier segment.\n\n    Args:\n        pt1: Start point of the Bezier as a complex number.\n        pt2: Handle point of the Bezier as a complex number.\n        pt3: End point of the Bezier as a complex number.\n\n    Returns:\n        Arc length value.\n    ");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_11calcQuadraticArcLengthC = {"calcQuadraticArcLengthC", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_11calcQuadraticArcLengthC, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_10calcQuadraticArcLengthC};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_11calcQuadraticArcLengthC(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  __pyx_t_double_complex __pyx_v_pt1;
  __pyx_t_double_complex __pyx_v_pt2;
  __pyx_t_double_complex __pyx_v_pt3;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[3] = {0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("calcQuadraticArcLengthC (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_pt1,&__pyx_n_s_pt2,&__pyx_n_s_pt3,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  3: values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt1)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 186, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt2)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[1]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 186, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("calcQuadraticArcLengthC", 1, 3, 3, 1); __PYX_ERR(0, 186, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt3)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[2]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 186, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("calcQuadraticArcLengthC", 1, 3, 3, 2); __PYX_ERR(0, 186, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "calcQuadraticArcLengthC") < 0)) __PYX_ERR(0, 186, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs != 3)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
      values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
      values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
    }
    __pyx_v_pt1 = __Pyx_PyComplex_As___pyx_t_double_complex(values[0]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 205, __pyx_L3_error)
    __pyx_v_pt2 = __Pyx_PyComplex_As___pyx_t_double_complex(values[1]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 205, __pyx_L3_error)
    __pyx_v_pt3 = __Pyx_PyComplex_As___pyx_t_double_complex(values[2]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 205, __pyx_L3_error)
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("calcQuadraticArcLengthC", 1, 3, 3, __pyx_nargs); __PYX_ERR(0, 186, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.calcQuadraticArcLengthC", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_10calcQuadraticArcLengthC(__pyx_self, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3);

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_10calcQuadraticArcLengthC(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_double_complex __pyx_v_pt1, __pyx_t_double_complex __pyx_v_pt2, __pyx_t_double_complex __pyx_v_pt3) {
  double __pyx_v_scale;
  double __pyx_v_origDist;
  double __pyx_v_a;
  double __pyx_v_b;
  double __pyx_v_x0;
  double __pyx_v_x1;
  double __pyx_v_Len;
  __pyx_t_double_complex __pyx_v_d0;
  __pyx_t_double_complex __pyx_v_d1;
  __pyx_t_double_complex __pyx_v_d;
  __pyx_t_double_complex __pyx_v_n;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  int __pyx_t_1;
  PyObject *__pyx_t_2 = NULL;
  double __pyx_t_3;
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  double __pyx_t_6;
  double __pyx_t_7;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("calcQuadraticArcLengthC", 1);

  /* "fontTools/misc/bezierTools.py":218
 *     # Analytical solution to the length of a quadratic bezier.
 *     # Documentation: https://github.com/fonttools/fonttools/issues/3055
 *     d0 = pt2 - pt1             # <<<<<<<<<<<<<<
 *     d1 = pt3 - pt2
 *     d = d1 - d0
 */
  __pyx_v_d0 = __Pyx_c_diff_double(__pyx_v_pt2, __pyx_v_pt1);

  /* "fontTools/misc/bezierTools.py":219
 *     # Documentation: https://github.com/fonttools/fonttools/issues/3055
 *     d0 = pt2 - pt1
 *     d1 = pt3 - pt2             # <<<<<<<<<<<<<<
 *     d = d1 - d0
 *     n = d * 1j
 */
  __pyx_v_d1 = __Pyx_c_diff_double(__pyx_v_pt3, __pyx_v_pt2);

  /* "fontTools/misc/bezierTools.py":220
 *     d0 = pt2 - pt1
 *     d1 = pt3 - pt2
 *     d = d1 - d0             # <<<<<<<<<<<<<<
 *     n = d * 1j
 *     scale = abs(n)
 */
  __pyx_v_d = __Pyx_c_diff_double(__pyx_v_d1, __pyx_v_d0);

  /* "fontTools/misc/bezierTools.py":221
 *     d1 = pt3 - pt2
 *     d = d1 - d0
 *     n = d * 1j             # <<<<<<<<<<<<<<
 *     scale = abs(n)
 *     if scale == 0.0:
 */
  __pyx_v_n = __Pyx_c_prod_double(__pyx_v_d, __pyx_t_double_complex_from_parts(0, 1.0));

  /* "fontTools/misc/bezierTools.py":222
 *     d = d1 - d0
 *     n = d * 1j
 *     scale = abs(n)             # <<<<<<<<<<<<<<
 *     if scale == 0.0:
 *         return abs(pt3 - pt1)
 */
  __pyx_v_scale = __Pyx_c_abs_double(__pyx_v_n);

  /* "fontTools/misc/bezierTools.py":223
 *     n = d * 1j
 *     scale = abs(n)
 *     if scale == 0.0:             # <<<<<<<<<<<<<<
 *         return abs(pt3 - pt1)
 *     origDist = _dot(n, d0)
 */
  __pyx_t_1 = (__pyx_v_scale == 0.0);
  if (__pyx_t_1) {

    /* "fontTools/misc/bezierTools.py":224
 *     scale = abs(n)
 *     if scale == 0.0:
 *         return abs(pt3 - pt1)             # <<<<<<<<<<<<<<
 *     origDist = _dot(n, d0)
 *     if abs(origDist) < epsilon:
 */
    __Pyx_XDECREF(__pyx_r);
    __pyx_t_2 = PyFloat_FromDouble(__Pyx_c_abs_double(__Pyx_c_diff_double(__pyx_v_pt3, __pyx_v_pt1))); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 224, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_r = __pyx_t_2;
    __pyx_t_2 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":223
 *     n = d * 1j
 *     scale = abs(n)
 *     if scale == 0.0:             # <<<<<<<<<<<<<<
 *         return abs(pt3 - pt1)
 *     origDist = _dot(n, d0)
 */
  }

  /* "fontTools/misc/bezierTools.py":225
 *     if scale == 0.0:
 *         return abs(pt3 - pt1)
 *     origDist = _dot(n, d0)             # <<<<<<<<<<<<<<
 *     if abs(origDist) < epsilon:
 *         if _dot(d0, d1) >= 0:
 */
  __pyx_t_3 = __pyx_f_9fontTools_4misc_11bezierTools__dot(__pyx_v_n, __pyx_v_d0); if (unlikely(__pyx_t_3 == ((double)-1) && PyErr_Occurred())) __PYX_ERR(0, 225, __pyx_L1_error)
  __pyx_v_origDist = __pyx_t_3;

  /* "fontTools/misc/bezierTools.py":226
 *         return abs(pt3 - pt1)
 *     origDist = _dot(n, d0)
 *     if abs(origDist) < epsilon:             # <<<<<<<<<<<<<<
 *         if _dot(d0, d1) >= 0:
 *             return abs(pt3 - pt1)
 */
  __pyx_t_2 = PyFloat_FromDouble(fabs(__pyx_v_origDist)); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 226, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_GetModuleGlobalName(__pyx_t_4, __pyx_n_s_epsilon); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 226, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_5 = PyObject_RichCompare(__pyx_t_2, __pyx_t_4, Py_LT); __Pyx_XGOTREF(__pyx_t_5); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 226, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_t_1 = __Pyx_PyObject_IsTrue(__pyx_t_5); if (unlikely((__pyx_t_1 < 0))) __PYX_ERR(0, 226, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  if (__pyx_t_1) {

    /* "fontTools/misc/bezierTools.py":227
 *     origDist = _dot(n, d0)
 *     if abs(origDist) < epsilon:
 *         if _dot(d0, d1) >= 0:             # <<<<<<<<<<<<<<
 *             return abs(pt3 - pt1)
 *         a, b = abs(d0), abs(d1)
 */
    __pyx_t_3 = __pyx_f_9fontTools_4misc_11bezierTools__dot(__pyx_v_d0, __pyx_v_d1); if (unlikely(__pyx_t_3 == ((double)-1) && PyErr_Occurred())) __PYX_ERR(0, 227, __pyx_L1_error)
    __pyx_t_1 = (__pyx_t_3 >= 0.0);
    if (__pyx_t_1) {

      /* "fontTools/misc/bezierTools.py":228
 *     if abs(origDist) < epsilon:
 *         if _dot(d0, d1) >= 0:
 *             return abs(pt3 - pt1)             # <<<<<<<<<<<<<<
 *         a, b = abs(d0), abs(d1)
 *         return (a * a + b * b) / (a + b)
 */
      __Pyx_XDECREF(__pyx_r);
      __pyx_t_5 = PyFloat_FromDouble(__Pyx_c_abs_double(__Pyx_c_diff_double(__pyx_v_pt3, __pyx_v_pt1))); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 228, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_5);
      __pyx_r = __pyx_t_5;
      __pyx_t_5 = 0;
      goto __pyx_L0;

      /* "fontTools/misc/bezierTools.py":227
 *     origDist = _dot(n, d0)
 *     if abs(origDist) < epsilon:
 *         if _dot(d0, d1) >= 0:             # <<<<<<<<<<<<<<
 *             return abs(pt3 - pt1)
 *         a, b = abs(d0), abs(d1)
 */
    }

    /* "fontTools/misc/bezierTools.py":229
 *         if _dot(d0, d1) >= 0:
 *             return abs(pt3 - pt1)
 *         a, b = abs(d0), abs(d1)             # <<<<<<<<<<<<<<
 *         return (a * a + b * b) / (a + b)
 *     x0 = _dot(d, d0) / origDist
 */
    __pyx_t_3 = __Pyx_c_abs_double(__pyx_v_d0);
    __pyx_t_6 = __Pyx_c_abs_double(__pyx_v_d1);
    __pyx_v_a = __pyx_t_3;
    __pyx_v_b = __pyx_t_6;

    /* "fontTools/misc/bezierTools.py":230
 *             return abs(pt3 - pt1)
 *         a, b = abs(d0), abs(d1)
 *         return (a * a + b * b) / (a + b)             # <<<<<<<<<<<<<<
 *     x0 = _dot(d, d0) / origDist
 *     x1 = _dot(d, d1) / origDist
 */
    __Pyx_XDECREF(__pyx_r);
    __pyx_t_6 = ((__pyx_v_a * __pyx_v_a) + (__pyx_v_b * __pyx_v_b));
    __pyx_t_3 = (__pyx_v_a + __pyx_v_b);
    if (unlikely(__pyx_t_3 == 0)) {
      PyErr_SetString(PyExc_ZeroDivisionError, "float division");
      __PYX_ERR(0, 230, __pyx_L1_error)
    }
    __pyx_t_5 = PyFloat_FromDouble((__pyx_t_6 / __pyx_t_3)); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 230, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __pyx_r = __pyx_t_5;
    __pyx_t_5 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":226
 *         return abs(pt3 - pt1)
 *     origDist = _dot(n, d0)
 *     if abs(origDist) < epsilon:             # <<<<<<<<<<<<<<
 *         if _dot(d0, d1) >= 0:
 *             return abs(pt3 - pt1)
 */
  }

  /* "fontTools/misc/bezierTools.py":231
 *         a, b = abs(d0), abs(d1)
 *         return (a * a + b * b) / (a + b)
 *     x0 = _dot(d, d0) / origDist             # <<<<<<<<<<<<<<
 *     x1 = _dot(d, d1) / origDist
 *     Len = abs(2 * (_intSecAtan(x1) - _intSecAtan(x0)) * origDist / (scale * (x1 - x0)))
 */
  __pyx_t_3 = __pyx_f_9fontTools_4misc_11bezierTools__dot(__pyx_v_d, __pyx_v_d0); if (unlikely(__pyx_t_3 == ((double)-1) && PyErr_Occurred())) __PYX_ERR(0, 231, __pyx_L1_error)
  if (unlikely(__pyx_v_origDist == 0)) {
    PyErr_SetString(PyExc_ZeroDivisionError, "float division");
    __PYX_ERR(0, 231, __pyx_L1_error)
  }
  __pyx_v_x0 = (__pyx_t_3 / __pyx_v_origDist);

  /* "fontTools/misc/bezierTools.py":232
 *         return (a * a + b * b) / (a + b)
 *     x0 = _dot(d, d0) / origDist
 *     x1 = _dot(d, d1) / origDist             # <<<<<<<<<<<<<<
 *     Len = abs(2 * (_intSecAtan(x1) - _intSecAtan(x0)) * origDist / (scale * (x1 - x0)))
 *     return Len
 */
  __pyx_t_3 = __pyx_f_9fontTools_4misc_11bezierTools__dot(__pyx_v_d, __pyx_v_d1); if (unlikely(__pyx_t_3 == ((double)-1) && PyErr_Occurred())) __PYX_ERR(0, 232, __pyx_L1_error)
  if (unlikely(__pyx_v_origDist == 0)) {
    PyErr_SetString(PyExc_ZeroDivisionError, "float division");
    __PYX_ERR(0, 232, __pyx_L1_error)
  }
  __pyx_v_x1 = (__pyx_t_3 / __pyx_v_origDist);

  /* "fontTools/misc/bezierTools.py":233
 *     x0 = _dot(d, d0) / origDist
 *     x1 = _dot(d, d1) / origDist
 *     Len = abs(2 * (_intSecAtan(x1) - _intSecAtan(x0)) * origDist / (scale * (x1 - x0)))             # <<<<<<<<<<<<<<
 *     return Len
 * 
 */
  __pyx_t_3 = __pyx_f_9fontTools_4misc_11bezierTools__intSecAtan(__pyx_v_x1); if (unlikely(__pyx_t_3 == ((double)-1) && PyErr_Occurred())) __PYX_ERR(0, 233, __pyx_L1_error)
  __pyx_t_6 = __pyx_f_9fontTools_4misc_11bezierTools__intSecAtan(__pyx_v_x0); if (unlikely(__pyx_t_6 == ((double)-1) && PyErr_Occurred())) __PYX_ERR(0, 233, __pyx_L1_error)
  __pyx_t_7 = ((2.0 * (__pyx_t_3 - __pyx_t_6)) * __pyx_v_origDist);
  __pyx_t_6 = (__pyx_v_scale * (__pyx_v_x1 - __pyx_v_x0));
  if (unlikely(__pyx_t_6 == 0)) {
    PyErr_SetString(PyExc_ZeroDivisionError, "float division");
    __PYX_ERR(0, 233, __pyx_L1_error)
  }
  __pyx_v_Len = fabs((__pyx_t_7 / __pyx_t_6));

  /* "fontTools/misc/bezierTools.py":234
 *     x1 = _dot(d, d1) / origDist
 *     Len = abs(2 * (_intSecAtan(x1) - _intSecAtan(x0)) * origDist / (scale * (x1 - x0)))
 *     return Len             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_5 = PyFloat_FromDouble(__pyx_v_Len); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 234, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __pyx_r = __pyx_t_5;
  __pyx_t_5 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":186
 * 
 * 
 * @cython.returns(cython.double)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     pt1=cython.complex,
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.calcQuadraticArcLengthC", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":237
 * 
 * 
 * def approximateQuadraticArcLength(pt1, pt2, pt3):             # <<<<<<<<<<<<<<
 *     """Calculates the arc length for a quadratic Bezier segment.
 * 
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_13approximateQuadraticArcLength(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_12approximateQuadraticArcLength, "approximateQuadraticArcLength(pt1, pt2, pt3)\nCalculates the arc length for a quadratic Bezier segment.\n\n    Uses Gauss-Legendre quadrature for a branch-free approximation.\n    See :func:`calcQuadraticArcLength` for a slower but more accurate result.\n\n    Args:\n        pt1: Start point of the Bezier as 2D tuple.\n        pt2: Handle point of the Bezier as 2D tuple.\n        pt3: End point of the Bezier as 2D tuple.\n\n    Returns:\n        Approximate arc length value.\n    ");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_13approximateQuadraticArcLength = {"approximateQuadraticArcLength", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_13approximateQuadraticArcLength, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_12approximateQuadraticArcLength};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_13approximateQuadraticArcLength(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_pt1 = 0;
  PyObject *__pyx_v_pt2 = 0;
  PyObject *__pyx_v_pt3 = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[3] = {0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("approximateQuadraticArcLength (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_pt1,&__pyx_n_s_pt2,&__pyx_n_s_pt3,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  3: values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt1)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 237, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt2)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[1]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 237, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("approximateQuadraticArcLength", 1, 3, 3, 1); __PYX_ERR(0, 237, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt3)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[2]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 237, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("approximateQuadraticArcLength", 1, 3, 3, 2); __PYX_ERR(0, 237, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "approximateQuadraticArcLength") < 0)) __PYX_ERR(0, 237, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs != 3)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
      values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
      values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
    }
    __pyx_v_pt1 = values[0];
    __pyx_v_pt2 = values[1];
    __pyx_v_pt3 = values[2];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("approximateQuadraticArcLength", 1, 3, 3, __pyx_nargs); __PYX_ERR(0, 237, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.approximateQuadraticArcLength", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_12approximateQuadraticArcLength(__pyx_self, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3);

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_12approximateQuadraticArcLength(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3) {
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  PyObject *__pyx_t_6 = NULL;
  int __pyx_t_7;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("approximateQuadraticArcLength", 1);

  /* "fontTools/misc/bezierTools.py":251
 *         Approximate arc length value.
 *     """
 *     return approximateQuadraticArcLengthC(complex(*pt1), complex(*pt2), complex(*pt3))             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __Pyx_XDECREF(__pyx_r);
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_approximateQuadraticArcLengthC); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 251, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = __Pyx_PySequence_Tuple(__pyx_v_pt1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 251, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_4 = __Pyx_PyObject_Call(((PyObject *)(&PyComplex_Type)), __pyx_t_3, NULL); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 251, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = __Pyx_PySequence_Tuple(__pyx_v_pt2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 251, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_5 = __Pyx_PyObject_Call(((PyObject *)(&PyComplex_Type)), __pyx_t_3, NULL); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 251, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = __Pyx_PySequence_Tuple(__pyx_v_pt3); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 251, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_6 = __Pyx_PyObject_Call(((PyObject *)(&PyComplex_Type)), __pyx_t_3, NULL); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 251, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = NULL;
  __pyx_t_7 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_2))) {
    __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_2);
    if (likely(__pyx_t_3)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_2);
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_2, function);
      __pyx_t_7 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[4] = {__pyx_t_3, __pyx_t_4, __pyx_t_5, __pyx_t_6};
    __pyx_t_1 = __Pyx_PyObject_FastCall(__pyx_t_2, __pyx_callargs+1-__pyx_t_7, 3+__pyx_t_7);
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 251, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  }
  __pyx_r = __pyx_t_1;
  __pyx_t_1 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":237
 * 
 * 
 * def approximateQuadraticArcLength(pt1, pt2, pt3):             # <<<<<<<<<<<<<<
 *     """Calculates the arc length for a quadratic Bezier segment.
 * 
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.approximateQuadraticArcLength", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":254
 * 
 * 
 * @cython.returns(cython.double)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     pt1=cython.complex,
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_15approximateQuadraticArcLengthC(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_14approximateQuadraticArcLengthC, "approximateQuadraticArcLengthC(double complex pt1, double complex pt2, double complex pt3)\nCalculates the arc length for a quadratic Bezier segment.\n\n    Uses Gauss-Legendre quadrature for a branch-free approximation.\n    See :func:`calcQuadraticArcLength` for a slower but more accurate result.\n\n    Args:\n        pt1: Start point of the Bezier as a complex number.\n        pt2: Handle point of the Bezier as a complex number.\n        pt3: End point of the Bezier as a complex number.\n\n    Returns:\n        Approximate arc length value.\n    ");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_15approximateQuadraticArcLengthC = {"approximateQuadraticArcLengthC", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_15approximateQuadraticArcLengthC, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_14approximateQuadraticArcLengthC};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_15approximateQuadraticArcLengthC(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  __pyx_t_double_complex __pyx_v_pt1;
  __pyx_t_double_complex __pyx_v_pt2;
  __pyx_t_double_complex __pyx_v_pt3;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[3] = {0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("approximateQuadraticArcLengthC (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_pt1,&__pyx_n_s_pt2,&__pyx_n_s_pt3,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  3: values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt1)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 254, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt2)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[1]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 254, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("approximateQuadraticArcLengthC", 1, 3, 3, 1); __PYX_ERR(0, 254, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt3)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[2]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 254, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("approximateQuadraticArcLengthC", 1, 3, 3, 2); __PYX_ERR(0, 254, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "approximateQuadraticArcLengthC") < 0)) __PYX_ERR(0, 254, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs != 3)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
      values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
      values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
    }
    __pyx_v_pt1 = __Pyx_PyComplex_As___pyx_t_double_complex(values[0]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 265, __pyx_L3_error)
    __pyx_v_pt2 = __Pyx_PyComplex_As___pyx_t_double_complex(values[1]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 265, __pyx_L3_error)
    __pyx_v_pt3 = __Pyx_PyComplex_As___pyx_t_double_complex(values[2]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 265, __pyx_L3_error)
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("approximateQuadraticArcLengthC", 1, 3, 3, __pyx_nargs); __PYX_ERR(0, 254, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.approximateQuadraticArcLengthC", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_14approximateQuadraticArcLengthC(__pyx_self, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3);

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_14approximateQuadraticArcLengthC(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_double_complex __pyx_v_pt1, __pyx_t_double_complex __pyx_v_pt2, __pyx_t_double_complex __pyx_v_pt3) {
  double __pyx_v_v0;
  double __pyx_v_v1;
  double __pyx_v_v2;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("approximateQuadraticArcLengthC", 1);

  /* "fontTools/misc/bezierTools.py":287
 *     # abs(BezierCurveC[2].diff(t).subs({t:T})) for T in sorted(.5, .5sqrt(3/5)/2),
 *     # weighted 5/18, 8/18, 5/18 respectively.
 *     v0 = abs(             # <<<<<<<<<<<<<<
 *         -0.492943519233745 * pt1 + 0.430331482911935 * pt2 + 0.0626120363218102 * pt3
 *     )
 */
  __pyx_v_v0 = __Pyx_c_abs_double(__Pyx_c_sum_double(__Pyx_c_sum_double(__Pyx_c_prod_double(__pyx_t_double_complex_from_parts(-0.492943519233745, 0), __pyx_v_pt1), __Pyx_c_prod_double(__pyx_t_double_complex_from_parts(0.430331482911935, 0), __pyx_v_pt2)), __Pyx_c_prod_double(__pyx_t_double_complex_from_parts(0.0626120363218102, 0), __pyx_v_pt3)));

  /* "fontTools/misc/bezierTools.py":290
 *         -0.492943519233745 * pt1 + 0.430331482911935 * pt2 + 0.0626120363218102 * pt3
 *     )
 *     v1 = abs(pt3 - pt1) * 0.4444444444444444             # <<<<<<<<<<<<<<
 *     v2 = abs(
 *         -0.0626120363218102 * pt1 - 0.430331482911935 * pt2 + 0.492943519233745 * pt3
 */
  __pyx_v_v1 = (__Pyx_c_abs_double(__Pyx_c_diff_double(__pyx_v_pt3, __pyx_v_pt1)) * 0.4444444444444444);

  /* "fontTools/misc/bezierTools.py":291
 *     )
 *     v1 = abs(pt3 - pt1) * 0.4444444444444444
 *     v2 = abs(             # <<<<<<<<<<<<<<
 *         -0.0626120363218102 * pt1 - 0.430331482911935 * pt2 + 0.492943519233745 * pt3
 *     )
 */
  __pyx_v_v2 = __Pyx_c_abs_double(__Pyx_c_sum_double(__Pyx_c_diff_double(__Pyx_c_prod_double(__pyx_t_double_complex_from_parts(-0.0626120363218102, 0), __pyx_v_pt1), __Pyx_c_prod_double(__pyx_t_double_complex_from_parts(0.430331482911935, 0), __pyx_v_pt2)), __Pyx_c_prod_double(__pyx_t_double_complex_from_parts(0.492943519233745, 0), __pyx_v_pt3)));

  /* "fontTools/misc/bezierTools.py":295
 *     )
 * 
 *     return v0 + v1 + v2             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = PyFloat_FromDouble(((__pyx_v_v0 + __pyx_v_v1) + __pyx_v_v2)); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 295, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_r = __pyx_t_1;
  __pyx_t_1 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":254
 * 
 * 
 * @cython.returns(cython.double)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     pt1=cython.complex,
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.approximateQuadraticArcLengthC", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":298
 * 
 * 
 * def calcQuadraticBounds(pt1, pt2, pt3):             # <<<<<<<<<<<<<<
 *     """Calculates the bounding rectangle for a quadratic Bezier segment.
 * 
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_17calcQuadraticBounds(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_16calcQuadraticBounds, "calcQuadraticBounds(pt1, pt2, pt3)\nCalculates the bounding rectangle for a quadratic Bezier segment.\n\n    Args:\n        pt1: Start point of the Bezier as a 2D tuple.\n        pt2: Handle point of the Bezier as a 2D tuple.\n        pt3: End point of the Bezier as a 2D tuple.\n\n    Returns:\n        A four-item tuple representing the bounding rectangle ``(xMin, yMin, xMax, yMax)``.\n\n    Example::\n\n        >>> calcQuadraticBounds((0, 0), (50, 100), (100, 0))\n        (0, 0, 100, 50.0)\n        >>> calcQuadraticBounds((0, 0), (100, 0), (100, 100))\n        (0.0, 0.0, 100, 100)\n    ");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_17calcQuadraticBounds = {"calcQuadraticBounds", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_17calcQuadraticBounds, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_16calcQuadraticBounds};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_17calcQuadraticBounds(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_pt1 = 0;
  PyObject *__pyx_v_pt2 = 0;
  PyObject *__pyx_v_pt3 = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[3] = {0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("calcQuadraticBounds (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_pt1,&__pyx_n_s_pt2,&__pyx_n_s_pt3,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  3: values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt1)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 298, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt2)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[1]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 298, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("calcQuadraticBounds", 1, 3, 3, 1); __PYX_ERR(0, 298, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt3)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[2]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 298, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("calcQuadraticBounds", 1, 3, 3, 2); __PYX_ERR(0, 298, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "calcQuadraticBounds") < 0)) __PYX_ERR(0, 298, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs != 3)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
      values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
      values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
    }
    __pyx_v_pt1 = values[0];
    __pyx_v_pt2 = values[1];
    __pyx_v_pt3 = values[2];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("calcQuadraticBounds", 1, 3, 3, __pyx_nargs); __PYX_ERR(0, 298, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.calcQuadraticBounds", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_16calcQuadraticBounds(__pyx_self, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3);

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_16calcQuadraticBounds(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3) {
  PyObject *__pyx_v_ax = NULL;
  PyObject *__pyx_v_ay = NULL;
  PyObject *__pyx_v_bx = NULL;
  PyObject *__pyx_v_by = NULL;
  PyObject *__pyx_v_cx = NULL;
  PyObject *__pyx_v_cy = NULL;
  PyObject *__pyx_v_ax2 = NULL;
  PyObject *__pyx_v_ay2 = NULL;
  PyObject *__pyx_v_roots = NULL;
  PyObject *__pyx_v_points = NULL;
  PyObject *__pyx_7genexpr__pyx_v_t = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  int __pyx_t_4;
  PyObject *__pyx_t_5 = NULL;
  PyObject *__pyx_t_6 = NULL;
  PyObject *(*__pyx_t_7)(PyObject *);
  PyObject *__pyx_t_8 = NULL;
  PyObject *__pyx_t_9 = NULL;
  int __pyx_t_10;
  int __pyx_t_11;
  Py_ssize_t __pyx_t_12;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("calcQuadraticBounds", 1);

  /* "fontTools/misc/bezierTools.py":316
 *         (0.0, 0.0, 100, 100)
 *     """
 *     (ax, ay), (bx, by), (cx, cy) = calcQuadraticParameters(pt1, pt2, pt3)             # <<<<<<<<<<<<<<
 *     ax2 = ax * 2.0
 *     ay2 = ay * 2.0
 */
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_calcQuadraticParameters); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 316, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = NULL;
  __pyx_t_4 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_2))) {
    __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_2);
    if (likely(__pyx_t_3)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_2);
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_2, function);
      __pyx_t_4 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[4] = {__pyx_t_3, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3};
    __pyx_t_1 = __Pyx_PyObject_FastCall(__pyx_t_2, __pyx_callargs+1-__pyx_t_4, 3+__pyx_t_4);
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 316, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  }
  if ((likely(PyTuple_CheckExact(__pyx_t_1))) || (PyList_CheckExact(__pyx_t_1))) {
    PyObject* sequence = __pyx_t_1;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 3)) {
      if (size > 3) __Pyx_RaiseTooManyValuesError(3);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 316, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_3 = PyTuple_GET_ITEM(sequence, 1); 
      __pyx_t_5 = PyTuple_GET_ITEM(sequence, 2); 
    } else {
      __pyx_t_2 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_3 = PyList_GET_ITEM(sequence, 1); 
      __pyx_t_5 = PyList_GET_ITEM(sequence, 2); 
    }
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx_t_3);
    __Pyx_INCREF(__pyx_t_5);
    #else
    __pyx_t_2 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 316, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_3 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 316, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_5 = PySequence_ITEM(sequence, 2); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 316, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    #endif
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  } else {
    Py_ssize_t index = -1;
    __pyx_t_6 = PyObject_GetIter(__pyx_t_1); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 316, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_7 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_6);
    index = 0; __pyx_t_2 = __pyx_t_7(__pyx_t_6); if (unlikely(!__pyx_t_2)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    index = 1; __pyx_t_3 = __pyx_t_7(__pyx_t_6); if (unlikely(!__pyx_t_3)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_3);
    index = 2; __pyx_t_5 = __pyx_t_7(__pyx_t_6); if (unlikely(!__pyx_t_5)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_5);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_7(__pyx_t_6), 3) < 0) __PYX_ERR(0, 316, __pyx_L1_error)
    __pyx_t_7 = NULL;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    goto __pyx_L4_unpacking_done;
    __pyx_L3_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __pyx_t_7 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 316, __pyx_L1_error)
    __pyx_L4_unpacking_done:;
  }
  if ((likely(PyTuple_CheckExact(__pyx_t_2))) || (PyList_CheckExact(__pyx_t_2))) {
    PyObject* sequence = __pyx_t_2;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 316, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_6 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_8 = PyTuple_GET_ITEM(sequence, 1); 
    } else {
      __pyx_t_6 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_8 = PyList_GET_ITEM(sequence, 1); 
    }
    __Pyx_INCREF(__pyx_t_6);
    __Pyx_INCREF(__pyx_t_8);
    #else
    __pyx_t_6 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 316, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __pyx_t_8 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 316, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    #endif
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  } else {
    Py_ssize_t index = -1;
    __pyx_t_9 = PyObject_GetIter(__pyx_t_2); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 316, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_9);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_t_7 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_9);
    index = 0; __pyx_t_6 = __pyx_t_7(__pyx_t_9); if (unlikely(!__pyx_t_6)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_6);
    index = 1; __pyx_t_8 = __pyx_t_7(__pyx_t_9); if (unlikely(!__pyx_t_8)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_8);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_7(__pyx_t_9), 2) < 0) __PYX_ERR(0, 316, __pyx_L1_error)
    __pyx_t_7 = NULL;
    __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
    goto __pyx_L6_unpacking_done;
    __pyx_L5_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
    __pyx_t_7 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 316, __pyx_L1_error)
    __pyx_L6_unpacking_done:;
  }
  __pyx_v_ax = __pyx_t_6;
  __pyx_t_6 = 0;
  __pyx_v_ay = __pyx_t_8;
  __pyx_t_8 = 0;
  if ((likely(PyTuple_CheckExact(__pyx_t_3))) || (PyList_CheckExact(__pyx_t_3))) {
    PyObject* sequence = __pyx_t_3;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 316, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_8 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_6 = PyTuple_GET_ITEM(sequence, 1); 
    } else {
      __pyx_t_8 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_6 = PyList_GET_ITEM(sequence, 1); 
    }
    __Pyx_INCREF(__pyx_t_8);
    __Pyx_INCREF(__pyx_t_6);
    #else
    __pyx_t_8 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 316, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    __pyx_t_6 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 316, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    #endif
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  } else {
    Py_ssize_t index = -1;
    __pyx_t_9 = PyObject_GetIter(__pyx_t_3); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 316, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_9);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_7 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_9);
    index = 0; __pyx_t_8 = __pyx_t_7(__pyx_t_9); if (unlikely(!__pyx_t_8)) goto __pyx_L7_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_8);
    index = 1; __pyx_t_6 = __pyx_t_7(__pyx_t_9); if (unlikely(!__pyx_t_6)) goto __pyx_L7_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_6);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_7(__pyx_t_9), 2) < 0) __PYX_ERR(0, 316, __pyx_L1_error)
    __pyx_t_7 = NULL;
    __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
    goto __pyx_L8_unpacking_done;
    __pyx_L7_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
    __pyx_t_7 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 316, __pyx_L1_error)
    __pyx_L8_unpacking_done:;
  }
  __pyx_v_bx = __pyx_t_8;
  __pyx_t_8 = 0;
  __pyx_v_by = __pyx_t_6;
  __pyx_t_6 = 0;
  if ((likely(PyTuple_CheckExact(__pyx_t_5))) || (PyList_CheckExact(__pyx_t_5))) {
    PyObject* sequence = __pyx_t_5;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 316, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_6 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_8 = PyTuple_GET_ITEM(sequence, 1); 
    } else {
      __pyx_t_6 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_8 = PyList_GET_ITEM(sequence, 1); 
    }
    __Pyx_INCREF(__pyx_t_6);
    __Pyx_INCREF(__pyx_t_8);
    #else
    __pyx_t_6 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 316, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __pyx_t_8 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 316, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    #endif
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  } else {
    Py_ssize_t index = -1;
    __pyx_t_9 = PyObject_GetIter(__pyx_t_5); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 316, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_9);
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __pyx_t_7 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_9);
    index = 0; __pyx_t_6 = __pyx_t_7(__pyx_t_9); if (unlikely(!__pyx_t_6)) goto __pyx_L9_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_6);
    index = 1; __pyx_t_8 = __pyx_t_7(__pyx_t_9); if (unlikely(!__pyx_t_8)) goto __pyx_L9_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_8);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_7(__pyx_t_9), 2) < 0) __PYX_ERR(0, 316, __pyx_L1_error)
    __pyx_t_7 = NULL;
    __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
    goto __pyx_L10_unpacking_done;
    __pyx_L9_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
    __pyx_t_7 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 316, __pyx_L1_error)
    __pyx_L10_unpacking_done:;
  }
  __pyx_v_cx = __pyx_t_6;
  __pyx_t_6 = 0;
  __pyx_v_cy = __pyx_t_8;
  __pyx_t_8 = 0;

  /* "fontTools/misc/bezierTools.py":317
 *     """
 *     (ax, ay), (bx, by), (cx, cy) = calcQuadraticParameters(pt1, pt2, pt3)
 *     ax2 = ax * 2.0             # <<<<<<<<<<<<<<
 *     ay2 = ay * 2.0
 *     roots = []
 */
  __pyx_t_1 = PyNumber_Multiply(__pyx_v_ax, __pyx_float_2_0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 317, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_v_ax2 = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":318
 *     (ax, ay), (bx, by), (cx, cy) = calcQuadraticParameters(pt1, pt2, pt3)
 *     ax2 = ax * 2.0
 *     ay2 = ay * 2.0             # <<<<<<<<<<<<<<
 *     roots = []
 *     if ax2 != 0:
 */
  __pyx_t_1 = PyNumber_Multiply(__pyx_v_ay, __pyx_float_2_0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 318, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_v_ay2 = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":319
 *     ax2 = ax * 2.0
 *     ay2 = ay * 2.0
 *     roots = []             # <<<<<<<<<<<<<<
 *     if ax2 != 0:
 *         roots.append(-bx / ax2)
 */
  __pyx_t_1 = PyList_New(0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 319, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_v_roots = ((PyObject*)__pyx_t_1);
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":320
 *     ay2 = ay * 2.0
 *     roots = []
 *     if ax2 != 0:             # <<<<<<<<<<<<<<
 *         roots.append(-bx / ax2)
 *     if ay2 != 0:
 */
  __pyx_t_10 = (__Pyx_PyInt_BoolNeObjC(__pyx_v_ax2, __pyx_int_0, 0, 0)); if (unlikely((__pyx_t_10 < 0))) __PYX_ERR(0, 320, __pyx_L1_error)
  if (__pyx_t_10) {

    /* "fontTools/misc/bezierTools.py":321
 *     roots = []
 *     if ax2 != 0:
 *         roots.append(-bx / ax2)             # <<<<<<<<<<<<<<
 *     if ay2 != 0:
 *         roots.append(-by / ay2)
 */
    __pyx_t_1 = PyNumber_Negative(__pyx_v_bx); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 321, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_5 = __Pyx_PyNumber_Divide(__pyx_t_1, __pyx_v_ax2); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 321, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_11 = __Pyx_PyList_Append(__pyx_v_roots, __pyx_t_5); if (unlikely(__pyx_t_11 == ((int)-1))) __PYX_ERR(0, 321, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;

    /* "fontTools/misc/bezierTools.py":320
 *     ay2 = ay * 2.0
 *     roots = []
 *     if ax2 != 0:             # <<<<<<<<<<<<<<
 *         roots.append(-bx / ax2)
 *     if ay2 != 0:
 */
  }

  /* "fontTools/misc/bezierTools.py":322
 *     if ax2 != 0:
 *         roots.append(-bx / ax2)
 *     if ay2 != 0:             # <<<<<<<<<<<<<<
 *         roots.append(-by / ay2)
 *     points = [
 */
  __pyx_t_10 = (__Pyx_PyInt_BoolNeObjC(__pyx_v_ay2, __pyx_int_0, 0, 0)); if (unlikely((__pyx_t_10 < 0))) __PYX_ERR(0, 322, __pyx_L1_error)
  if (__pyx_t_10) {

    /* "fontTools/misc/bezierTools.py":323
 *         roots.append(-bx / ax2)
 *     if ay2 != 0:
 *         roots.append(-by / ay2)             # <<<<<<<<<<<<<<
 *     points = [
 *         (ax * t * t + bx * t + cx, ay * t * t + by * t + cy)
 */
    __pyx_t_5 = PyNumber_Negative(__pyx_v_by); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 323, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __pyx_t_1 = __Pyx_PyNumber_Divide(__pyx_t_5, __pyx_v_ay2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 323, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __pyx_t_11 = __Pyx_PyList_Append(__pyx_v_roots, __pyx_t_1); if (unlikely(__pyx_t_11 == ((int)-1))) __PYX_ERR(0, 323, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;

    /* "fontTools/misc/bezierTools.py":322
 *     if ax2 != 0:
 *         roots.append(-bx / ax2)
 *     if ay2 != 0:             # <<<<<<<<<<<<<<
 *         roots.append(-by / ay2)
 *     points = [
 */
  }

  /* "fontTools/misc/bezierTools.py":328
 *         for t in roots
 *         if 0 <= t < 1
 *     ] + [pt1, pt3]             # <<<<<<<<<<<<<<
 *     return calcBounds(points)
 * 
 */
  { /* enter inner scope */

    /* "fontTools/misc/bezierTools.py":324
 *     if ay2 != 0:
 *         roots.append(-by / ay2)
 *     points = [             # <<<<<<<<<<<<<<
 *         (ax * t * t + bx * t + cx, ay * t * t + by * t + cy)
 *         for t in roots
 */
    __pyx_t_1 = PyList_New(0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 324, __pyx_L15_error)
    __Pyx_GOTREF(__pyx_t_1);

    /* "fontTools/misc/bezierTools.py":326
 *     points = [
 *         (ax * t * t + bx * t + cx, ay * t * t + by * t + cy)
 *         for t in roots             # <<<<<<<<<<<<<<
 *         if 0 <= t < 1
 *     ] + [pt1, pt3]
 */
    __pyx_t_5 = __pyx_v_roots; __Pyx_INCREF(__pyx_t_5);
    __pyx_t_12 = 0;
    for (;;) {
      {
        Py_ssize_t __pyx_temp = __Pyx_PyList_GET_SIZE(__pyx_t_5);
        #if !CYTHON_ASSUME_SAFE_MACROS
        if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 326, __pyx_L15_error)
        #endif
        if (__pyx_t_12 >= __pyx_temp) break;
      }
      #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
      __pyx_t_3 = PyList_GET_ITEM(__pyx_t_5, __pyx_t_12); __Pyx_INCREF(__pyx_t_3); __pyx_t_12++; if (unlikely((0 < 0))) __PYX_ERR(0, 326, __pyx_L15_error)
      #else
      __pyx_t_3 = __Pyx_PySequence_ITEM(__pyx_t_5, __pyx_t_12); __pyx_t_12++; if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 326, __pyx_L15_error)
      __Pyx_GOTREF(__pyx_t_3);
      #endif
      __Pyx_XDECREF_SET(__pyx_7genexpr__pyx_v_t, __pyx_t_3);
      __pyx_t_3 = 0;

      /* "fontTools/misc/bezierTools.py":327
 *         (ax * t * t + bx * t + cx, ay * t * t + by * t + cy)
 *         for t in roots
 *         if 0 <= t < 1             # <<<<<<<<<<<<<<
 *     ] + [pt1, pt3]
 *     return calcBounds(points)
 */
      __pyx_t_3 = PyObject_RichCompare(__pyx_int_0, __pyx_7genexpr__pyx_v_t, Py_LE); __Pyx_XGOTREF(__pyx_t_3); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 327, __pyx_L15_error)
      if (__Pyx_PyObject_IsTrue(__pyx_t_3)) {
        __Pyx_DECREF(__pyx_t_3);
        __pyx_t_3 = PyObject_RichCompare(__pyx_7genexpr__pyx_v_t, __pyx_int_1, Py_LT); __Pyx_XGOTREF(__pyx_t_3); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 327, __pyx_L15_error)
      }
      __pyx_t_10 = __Pyx_PyObject_IsTrue(__pyx_t_3); if (unlikely((__pyx_t_10 < 0))) __PYX_ERR(0, 327, __pyx_L15_error)
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      if (__pyx_t_10) {

        /* "fontTools/misc/bezierTools.py":325
 *         roots.append(-by / ay2)
 *     points = [
 *         (ax * t * t + bx * t + cx, ay * t * t + by * t + cy)             # <<<<<<<<<<<<<<
 *         for t in roots
 *         if 0 <= t < 1
 */
        __pyx_t_3 = PyNumber_Multiply(__pyx_v_ax, __pyx_7genexpr__pyx_v_t); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 325, __pyx_L15_error)
        __Pyx_GOTREF(__pyx_t_3);
        __pyx_t_2 = PyNumber_Multiply(__pyx_t_3, __pyx_7genexpr__pyx_v_t); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 325, __pyx_L15_error)
        __Pyx_GOTREF(__pyx_t_2);
        __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
        __pyx_t_3 = PyNumber_Multiply(__pyx_v_bx, __pyx_7genexpr__pyx_v_t); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 325, __pyx_L15_error)
        __Pyx_GOTREF(__pyx_t_3);
        __pyx_t_8 = PyNumber_Add(__pyx_t_2, __pyx_t_3); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 325, __pyx_L15_error)
        __Pyx_GOTREF(__pyx_t_8);
        __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
        __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
        __pyx_t_3 = PyNumber_Add(__pyx_t_8, __pyx_v_cx); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 325, __pyx_L15_error)
        __Pyx_GOTREF(__pyx_t_3);
        __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
        __pyx_t_8 = PyNumber_Multiply(__pyx_v_ay, __pyx_7genexpr__pyx_v_t); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 325, __pyx_L15_error)
        __Pyx_GOTREF(__pyx_t_8);
        __pyx_t_2 = PyNumber_Multiply(__pyx_t_8, __pyx_7genexpr__pyx_v_t); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 325, __pyx_L15_error)
        __Pyx_GOTREF(__pyx_t_2);
        __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
        __pyx_t_8 = PyNumber_Multiply(__pyx_v_by, __pyx_7genexpr__pyx_v_t); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 325, __pyx_L15_error)
        __Pyx_GOTREF(__pyx_t_8);
        __pyx_t_6 = PyNumber_Add(__pyx_t_2, __pyx_t_8); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 325, __pyx_L15_error)
        __Pyx_GOTREF(__pyx_t_6);
        __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
        __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
        __pyx_t_8 = PyNumber_Add(__pyx_t_6, __pyx_v_cy); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 325, __pyx_L15_error)
        __Pyx_GOTREF(__pyx_t_8);
        __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
        __pyx_t_6 = PyTuple_New(2); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 325, __pyx_L15_error)
        __Pyx_GOTREF(__pyx_t_6);
        __Pyx_GIVEREF(__pyx_t_3);
        if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 0, __pyx_t_3)) __PYX_ERR(0, 325, __pyx_L15_error);
        __Pyx_GIVEREF(__pyx_t_8);
        if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 1, __pyx_t_8)) __PYX_ERR(0, 325, __pyx_L15_error);
        __pyx_t_3 = 0;
        __pyx_t_8 = 0;
        if (unlikely(__Pyx_ListComp_Append(__pyx_t_1, (PyObject*)__pyx_t_6))) __PYX_ERR(0, 324, __pyx_L15_error)
        __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;

        /* "fontTools/misc/bezierTools.py":327
 *         (ax * t * t + bx * t + cx, ay * t * t + by * t + cy)
 *         for t in roots
 *         if 0 <= t < 1             # <<<<<<<<<<<<<<
 *     ] + [pt1, pt3]
 *     return calcBounds(points)
 */
      }

      /* "fontTools/misc/bezierTools.py":326
 *     points = [
 *         (ax * t * t + bx * t + cx, ay * t * t + by * t + cy)
 *         for t in roots             # <<<<<<<<<<<<<<
 *         if 0 <= t < 1
 *     ] + [pt1, pt3]
 */
    }
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __Pyx_XDECREF(__pyx_7genexpr__pyx_v_t); __pyx_7genexpr__pyx_v_t = 0;
    goto __pyx_L20_exit_scope;
    __pyx_L15_error:;
    __Pyx_XDECREF(__pyx_7genexpr__pyx_v_t); __pyx_7genexpr__pyx_v_t = 0;
    goto __pyx_L1_error;
    __pyx_L20_exit_scope:;
  } /* exit inner scope */

  /* "fontTools/misc/bezierTools.py":328
 *         for t in roots
 *         if 0 <= t < 1
 *     ] + [pt1, pt3]             # <<<<<<<<<<<<<<
 *     return calcBounds(points)
 * 
 */
  __pyx_t_5 = PyList_New(2); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 328, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_INCREF(__pyx_v_pt1);
  __Pyx_GIVEREF(__pyx_v_pt1);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_5, 0, __pyx_v_pt1)) __PYX_ERR(0, 328, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_pt3);
  __Pyx_GIVEREF(__pyx_v_pt3);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_5, 1, __pyx_v_pt3)) __PYX_ERR(0, 328, __pyx_L1_error);
  __pyx_t_6 = PyNumber_Add(__pyx_t_1, __pyx_t_5); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 328, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  __pyx_v_points = ((PyObject*)__pyx_t_6);
  __pyx_t_6 = 0;

  /* "fontTools/misc/bezierTools.py":329
 *         if 0 <= t < 1
 *     ] + [pt1, pt3]
 *     return calcBounds(points)             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __Pyx_XDECREF(__pyx_r);
  __Pyx_GetModuleGlobalName(__pyx_t_5, __pyx_n_s_calcBounds); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 329, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __pyx_t_1 = NULL;
  __pyx_t_4 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_5))) {
    __pyx_t_1 = PyMethod_GET_SELF(__pyx_t_5);
    if (likely(__pyx_t_1)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_5);
      __Pyx_INCREF(__pyx_t_1);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_5, function);
      __pyx_t_4 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[2] = {__pyx_t_1, __pyx_v_points};
    __pyx_t_6 = __Pyx_PyObject_FastCall(__pyx_t_5, __pyx_callargs+1-__pyx_t_4, 1+__pyx_t_4);
    __Pyx_XDECREF(__pyx_t_1); __pyx_t_1 = 0;
    if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 329, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  }
  __pyx_r = __pyx_t_6;
  __pyx_t_6 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":298
 * 
 * 
 * def calcQuadraticBounds(pt1, pt2, pt3):             # <<<<<<<<<<<<<<
 *     """Calculates the bounding rectangle for a quadratic Bezier segment.
 * 
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_XDECREF(__pyx_t_8);
  __Pyx_XDECREF(__pyx_t_9);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.calcQuadraticBounds", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_ax);
  __Pyx_XDECREF(__pyx_v_ay);
  __Pyx_XDECREF(__pyx_v_bx);
  __Pyx_XDECREF(__pyx_v_by);
  __Pyx_XDECREF(__pyx_v_cx);
  __Pyx_XDECREF(__pyx_v_cy);
  __Pyx_XDECREF(__pyx_v_ax2);
  __Pyx_XDECREF(__pyx_v_ay2);
  __Pyx_XDECREF(__pyx_v_roots);
  __Pyx_XDECREF(__pyx_v_points);
  __Pyx_XDECREF(__pyx_7genexpr__pyx_v_t);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":332
 * 
 * 
 * def approximateCubicArcLength(pt1, pt2, pt3, pt4):             # <<<<<<<<<<<<<<
 *     """Approximates the arc length for a cubic Bezier segment.
 * 
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_19approximateCubicArcLength(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_18approximateCubicArcLength, "approximateCubicArcLength(pt1, pt2, pt3, pt4)\nApproximates the arc length for a cubic Bezier segment.\n\n    Uses Gauss-Lobatto quadrature with n=5 points to approximate arc length.\n    See :func:`calcCubicArcLength` for a slower but more accurate result.\n\n    Args:\n        pt1,pt2,pt3,pt4: Control points of the Bezier as 2D tuples.\n\n    Returns:\n        Arc length value.\n\n    Example::\n\n        >>> approximateCubicArcLength((0, 0), (25, 100), (75, 100), (100, 0))\n        190.04332968932817\n        >>> approximateCubicArcLength((0, 0), (50, 0), (100, 50), (100, 100))\n        154.8852074945903\n        >>> approximateCubicArcLength((0, 0), (50, 0), (100, 0), (150, 0)) # line; exact result should be 150.\n        149.99999999999991\n        >>> approximateCubicArcLength((0, 0), (50, 0), (100, 0), (-50, 0)) # cusp; exact result should be 150.\n        136.9267662156362\n        >>> approximateCubicArcLength((0, 0), (50, 0), (100, -50), (-50, 0)) # cusp\n        154.80848416537057\n    ");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_19approximateCubicArcLength = {"approximateCubicArcLength", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_19approximateCubicArcLength, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_18approximateCubicArcLength};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_19approximateCubicArcLength(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_pt1 = 0;
  PyObject *__pyx_v_pt2 = 0;
  PyObject *__pyx_v_pt3 = 0;
  PyObject *__pyx_v_pt4 = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[4] = {0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("approximateCubicArcLength (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_pt1,&__pyx_n_s_pt2,&__pyx_n_s_pt3,&__pyx_n_s_pt4,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  4: values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt1)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 332, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt2)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[1]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 332, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("approximateCubicArcLength", 1, 4, 4, 1); __PYX_ERR(0, 332, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt3)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[2]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 332, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("approximateCubicArcLength", 1, 4, 4, 2); __PYX_ERR(0, 332, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  3:
        if (likely((values[3] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt4)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[3]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 332, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("approximateCubicArcLength", 1, 4, 4, 3); __PYX_ERR(0, 332, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "approximateCubicArcLength") < 0)) __PYX_ERR(0, 332, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs != 4)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
      values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
      values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
      values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
    }
    __pyx_v_pt1 = values[0];
    __pyx_v_pt2 = values[1];
    __pyx_v_pt3 = values[2];
    __pyx_v_pt4 = values[3];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("approximateCubicArcLength", 1, 4, 4, __pyx_nargs); __PYX_ERR(0, 332, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.approximateCubicArcLength", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_18approximateCubicArcLength(__pyx_self, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3, __pyx_v_pt4);

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_18approximateCubicArcLength(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_pt4) {
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  PyObject *__pyx_t_6 = NULL;
  PyObject *__pyx_t_7 = NULL;
  int __pyx_t_8;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("approximateCubicArcLength", 1);

  /* "fontTools/misc/bezierTools.py":357
 *         154.80848416537057
 *     """
 *     return approximateCubicArcLengthC(             # <<<<<<<<<<<<<<
 *         complex(*pt1), complex(*pt2), complex(*pt3), complex(*pt4)
 *     )
 */
  __Pyx_XDECREF(__pyx_r);
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_approximateCubicArcLengthC); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 357, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);

  /* "fontTools/misc/bezierTools.py":358
 *     """
 *     return approximateCubicArcLengthC(
 *         complex(*pt1), complex(*pt2), complex(*pt3), complex(*pt4)             # <<<<<<<<<<<<<<
 *     )
 * 
 */
  __pyx_t_3 = __Pyx_PySequence_Tuple(__pyx_v_pt1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 358, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_4 = __Pyx_PyObject_Call(((PyObject *)(&PyComplex_Type)), __pyx_t_3, NULL); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 358, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = __Pyx_PySequence_Tuple(__pyx_v_pt2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 358, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_5 = __Pyx_PyObject_Call(((PyObject *)(&PyComplex_Type)), __pyx_t_3, NULL); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 358, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = __Pyx_PySequence_Tuple(__pyx_v_pt3); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 358, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_6 = __Pyx_PyObject_Call(((PyObject *)(&PyComplex_Type)), __pyx_t_3, NULL); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 358, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = __Pyx_PySequence_Tuple(__pyx_v_pt4); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 358, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_7 = __Pyx_PyObject_Call(((PyObject *)(&PyComplex_Type)), __pyx_t_3, NULL); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 358, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_7);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = NULL;
  __pyx_t_8 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_2))) {
    __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_2);
    if (likely(__pyx_t_3)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_2);
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_2, function);
      __pyx_t_8 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[5] = {__pyx_t_3, __pyx_t_4, __pyx_t_5, __pyx_t_6, __pyx_t_7};
    __pyx_t_1 = __Pyx_PyObject_FastCall(__pyx_t_2, __pyx_callargs+1-__pyx_t_8, 4+__pyx_t_8);
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 357, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  }
  __pyx_r = __pyx_t_1;
  __pyx_t_1 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":332
 * 
 * 
 * def approximateCubicArcLength(pt1, pt2, pt3, pt4):             # <<<<<<<<<<<<<<
 *     """Approximates the arc length for a cubic Bezier segment.
 * 
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_XDECREF(__pyx_t_7);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.approximateCubicArcLength", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":362
 * 
 * 
 * @cython.returns(cython.double)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     pt1=cython.complex,
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_21approximateCubicArcLengthC(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_20approximateCubicArcLengthC, "approximateCubicArcLengthC(double complex pt1, double complex pt2, double complex pt3, double complex pt4)\nApproximates the arc length for a cubic Bezier segment.\n\n    Args:\n        pt1,pt2,pt3,pt4: Control points of the Bezier as complex numbers.\n\n    Returns:\n        Arc length value.\n    ");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_21approximateCubicArcLengthC = {"approximateCubicArcLengthC", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_21approximateCubicArcLengthC, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_20approximateCubicArcLengthC};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_21approximateCubicArcLengthC(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  __pyx_t_double_complex __pyx_v_pt1;
  __pyx_t_double_complex __pyx_v_pt2;
  __pyx_t_double_complex __pyx_v_pt3;
  __pyx_t_double_complex __pyx_v_pt4;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[4] = {0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("approximateCubicArcLengthC (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_pt1,&__pyx_n_s_pt2,&__pyx_n_s_pt3,&__pyx_n_s_pt4,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  4: values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt1)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 362, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt2)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[1]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 362, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("approximateCubicArcLengthC", 1, 4, 4, 1); __PYX_ERR(0, 362, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt3)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[2]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 362, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("approximateCubicArcLengthC", 1, 4, 4, 2); __PYX_ERR(0, 362, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  3:
        if (likely((values[3] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt4)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[3]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 362, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("approximateCubicArcLengthC", 1, 4, 4, 3); __PYX_ERR(0, 362, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "approximateCubicArcLengthC") < 0)) __PYX_ERR(0, 362, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs != 4)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
      values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
      values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
      values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
    }
    __pyx_v_pt1 = __Pyx_PyComplex_As___pyx_t_double_complex(values[0]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 376, __pyx_L3_error)
    __pyx_v_pt2 = __Pyx_PyComplex_As___pyx_t_double_complex(values[1]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 376, __pyx_L3_error)
    __pyx_v_pt3 = __Pyx_PyComplex_As___pyx_t_double_complex(values[2]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 376, __pyx_L3_error)
    __pyx_v_pt4 = __Pyx_PyComplex_As___pyx_t_double_complex(values[3]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 376, __pyx_L3_error)
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("approximateCubicArcLengthC", 1, 4, 4, __pyx_nargs); __PYX_ERR(0, 362, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.approximateCubicArcLengthC", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_20approximateCubicArcLengthC(__pyx_self, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3, __pyx_v_pt4);

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_20approximateCubicArcLengthC(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_double_complex __pyx_v_pt1, __pyx_t_double_complex __pyx_v_pt2, __pyx_t_double_complex __pyx_v_pt3, __pyx_t_double_complex __pyx_v_pt4) {
  double __pyx_v_v0;
  double __pyx_v_v1;
  double __pyx_v_v2;
  double __pyx_v_v3;
  double __pyx_v_v4;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("approximateCubicArcLengthC", 1);

  /* "fontTools/misc/bezierTools.py":393
 *     # abs(BezierCurveC[3].diff(t).subs({t:T})) for T in sorted(0, .5(3/7)**.5/2, .5, 1),
 *     # weighted 1/20, 49/180, 32/90, 49/180, 1/20 respectively.
 *     v0 = abs(pt2 - pt1) * 0.15             # <<<<<<<<<<<<<<
 *     v1 = abs(
 *         -0.558983582205757 * pt1
 */
  __pyx_v_v0 = (__Pyx_c_abs_double(__Pyx_c_diff_double(__pyx_v_pt2, __pyx_v_pt1)) * 0.15);

  /* "fontTools/misc/bezierTools.py":394
 *     # weighted 1/20, 49/180, 32/90, 49/180, 1/20 respectively.
 *     v0 = abs(pt2 - pt1) * 0.15
 *     v1 = abs(             # <<<<<<<<<<<<<<
 *         -0.558983582205757 * pt1
 *         + 0.325650248872424 * pt2
 */
  __pyx_v_v1 = __Pyx_c_abs_double(__Pyx_c_sum_double(__Pyx_c_sum_double(__Pyx_c_sum_double(__Pyx_c_prod_double(__pyx_t_double_complex_from_parts(-0.558983582205757, 0), __pyx_v_pt1), __Pyx_c_prod_double(__pyx_t_double_complex_from_parts(0.325650248872424, 0), __pyx_v_pt2)), __Pyx_c_prod_double(__pyx_t_double_complex_from_parts(0.208983582205757, 0), __pyx_v_pt3)), __Pyx_c_prod_double(__pyx_t_double_complex_from_parts(0.024349751127576, 0), __pyx_v_pt4)));

  /* "fontTools/misc/bezierTools.py":400
 *         + 0.024349751127576 * pt4
 *     )
 *     v2 = abs(pt4 - pt1 + pt3 - pt2) * 0.26666666666666666             # <<<<<<<<<<<<<<
 *     v3 = abs(
 *         -0.024349751127576 * pt1
 */
  __pyx_v_v2 = (__Pyx_c_abs_double(__Pyx_c_diff_double(__Pyx_c_sum_double(__Pyx_c_diff_double(__pyx_v_pt4, __pyx_v_pt1), __pyx_v_pt3), __pyx_v_pt2)) * 0.26666666666666666);

  /* "fontTools/misc/bezierTools.py":401
 *     )
 *     v2 = abs(pt4 - pt1 + pt3 - pt2) * 0.26666666666666666
 *     v3 = abs(             # <<<<<<<<<<<<<<
 *         -0.024349751127576 * pt1
 *         - 0.208983582205757 * pt2
 */
  __pyx_v_v3 = __Pyx_c_abs_double(__Pyx_c_sum_double(__Pyx_c_diff_double(__Pyx_c_diff_double(__Pyx_c_prod_double(__pyx_t_double_complex_from_parts(-0.024349751127576, 0), __pyx_v_pt1), __Pyx_c_prod_double(__pyx_t_double_complex_from_parts(0.208983582205757, 0), __pyx_v_pt2)), __Pyx_c_prod_double(__pyx_t_double_complex_from_parts(0.325650248872424, 0), __pyx_v_pt3)), __Pyx_c_prod_double(__pyx_t_double_complex_from_parts(0.558983582205757, 0), __pyx_v_pt4)));

  /* "fontTools/misc/bezierTools.py":407
 *         + 0.558983582205757 * pt4
 *     )
 *     v4 = abs(pt4 - pt3) * 0.15             # <<<<<<<<<<<<<<
 * 
 *     return v0 + v1 + v2 + v3 + v4
 */
  __pyx_v_v4 = (__Pyx_c_abs_double(__Pyx_c_diff_double(__pyx_v_pt4, __pyx_v_pt3)) * 0.15);

  /* "fontTools/misc/bezierTools.py":409
 *     v4 = abs(pt4 - pt3) * 0.15
 * 
 *     return v0 + v1 + v2 + v3 + v4             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = PyFloat_FromDouble(((((__pyx_v_v0 + __pyx_v_v1) + __pyx_v_v2) + __pyx_v_v3) + __pyx_v_v4)); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 409, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_r = __pyx_t_1;
  __pyx_t_1 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":362
 * 
 * 
 * @cython.returns(cython.double)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     pt1=cython.complex,
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.approximateCubicArcLengthC", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":412
 * 
 * 
 * def calcCubicBounds(pt1, pt2, pt3, pt4):             # <<<<<<<<<<<<<<
 *     """Calculates the bounding rectangle for a quadratic Bezier segment.
 * 
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_23calcCubicBounds(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_22calcCubicBounds, "calcCubicBounds(pt1, pt2, pt3, pt4)\nCalculates the bounding rectangle for a quadratic Bezier segment.\n\n    Args:\n        pt1,pt2,pt3,pt4: Control points of the Bezier as 2D tuples.\n\n    Returns:\n        A four-item tuple representing the bounding rectangle ``(xMin, yMin, xMax, yMax)``.\n\n    Example::\n\n        >>> calcCubicBounds((0, 0), (25, 100), (75, 100), (100, 0))\n        (0, 0, 100, 75.0)\n        >>> calcCubicBounds((0, 0), (50, 0), (100, 50), (100, 100))\n        (0.0, 0.0, 100, 100)\n        >>> print(\"%f %f %f %f\" % calcCubicBounds((50, 0), (0, 100), (100, 100), (50, 0)))\n        35.566243 0.000000 64.433757 75.000000\n    ");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_23calcCubicBounds = {"calcCubicBounds", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_23calcCubicBounds, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_22calcCubicBounds};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_23calcCubicBounds(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_pt1 = 0;
  PyObject *__pyx_v_pt2 = 0;
  PyObject *__pyx_v_pt3 = 0;
  PyObject *__pyx_v_pt4 = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[4] = {0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("calcCubicBounds (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_pt1,&__pyx_n_s_pt2,&__pyx_n_s_pt3,&__pyx_n_s_pt4,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  4: values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt1)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 412, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt2)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[1]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 412, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("calcCubicBounds", 1, 4, 4, 1); __PYX_ERR(0, 412, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt3)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[2]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 412, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("calcCubicBounds", 1, 4, 4, 2); __PYX_ERR(0, 412, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  3:
        if (likely((values[3] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt4)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[3]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 412, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("calcCubicBounds", 1, 4, 4, 3); __PYX_ERR(0, 412, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "calcCubicBounds") < 0)) __PYX_ERR(0, 412, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs != 4)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
      values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
      values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
      values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
    }
    __pyx_v_pt1 = values[0];
    __pyx_v_pt2 = values[1];
    __pyx_v_pt3 = values[2];
    __pyx_v_pt4 = values[3];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("calcCubicBounds", 1, 4, 4, __pyx_nargs); __PYX_ERR(0, 412, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.calcCubicBounds", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_22calcCubicBounds(__pyx_self, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3, __pyx_v_pt4);

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_22calcCubicBounds(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_pt4) {
  PyObject *__pyx_v_ax = NULL;
  PyObject *__pyx_v_ay = NULL;
  PyObject *__pyx_v_bx = NULL;
  PyObject *__pyx_v_by = NULL;
  PyObject *__pyx_v_cx = NULL;
  PyObject *__pyx_v_cy = NULL;
  PyObject *__pyx_v_dx = NULL;
  PyObject *__pyx_v_dy = NULL;
  PyObject *__pyx_v_ax3 = NULL;
  PyObject *__pyx_v_ay3 = NULL;
  PyObject *__pyx_v_bx2 = NULL;
  PyObject *__pyx_v_by2 = NULL;
  PyObject *__pyx_v_xRoots = NULL;
  PyObject *__pyx_v_yRoots = NULL;
  PyObject *__pyx_v_roots = NULL;
  PyObject *__pyx_v_points = NULL;
  PyObject *__pyx_8genexpr1__pyx_v_t = NULL;
  PyObject *__pyx_8genexpr2__pyx_v_t = NULL;
  PyObject *__pyx_8genexpr3__pyx_v_t = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  int __pyx_t_4;
  PyObject *__pyx_t_5 = NULL;
  PyObject *__pyx_t_6 = NULL;
  PyObject *__pyx_t_7 = NULL;
  PyObject *(*__pyx_t_8)(PyObject *);
  PyObject *__pyx_t_9 = NULL;
  PyObject *__pyx_t_10 = NULL;
  Py_ssize_t __pyx_t_11;
  PyObject *(*__pyx_t_12)(PyObject *);
  int __pyx_t_13;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("calcCubicBounds", 1);

  /* "fontTools/misc/bezierTools.py":430
 *         35.566243 0.000000 64.433757 75.000000
 *     """
 *     (ax, ay), (bx, by), (cx, cy), (dx, dy) = calcCubicParameters(pt1, pt2, pt3, pt4)             # <<<<<<<<<<<<<<
 *     # calc first derivative
 *     ax3 = ax * 3.0
 */
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_calcCubicParameters); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 430, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = NULL;
  __pyx_t_4 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_2))) {
    __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_2);
    if (likely(__pyx_t_3)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_2);
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_2, function);
      __pyx_t_4 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[5] = {__pyx_t_3, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3, __pyx_v_pt4};
    __pyx_t_1 = __Pyx_PyObject_FastCall(__pyx_t_2, __pyx_callargs+1-__pyx_t_4, 4+__pyx_t_4);
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 430, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  }
  if ((likely(PyTuple_CheckExact(__pyx_t_1))) || (PyList_CheckExact(__pyx_t_1))) {
    PyObject* sequence = __pyx_t_1;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 4)) {
      if (size > 4) __Pyx_RaiseTooManyValuesError(4);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 430, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_3 = PyTuple_GET_ITEM(sequence, 1); 
      __pyx_t_5 = PyTuple_GET_ITEM(sequence, 2); 
      __pyx_t_6 = PyTuple_GET_ITEM(sequence, 3); 
    } else {
      __pyx_t_2 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_3 = PyList_GET_ITEM(sequence, 1); 
      __pyx_t_5 = PyList_GET_ITEM(sequence, 2); 
      __pyx_t_6 = PyList_GET_ITEM(sequence, 3); 
    }
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx_t_3);
    __Pyx_INCREF(__pyx_t_5);
    __Pyx_INCREF(__pyx_t_6);
    #else
    {
      Py_ssize_t i;
      PyObject** temps[4] = {&__pyx_t_2,&__pyx_t_3,&__pyx_t_5,&__pyx_t_6};
      for (i=0; i < 4; i++) {
        PyObject* item = PySequence_ITEM(sequence, i); if (unlikely(!item)) __PYX_ERR(0, 430, __pyx_L1_error)
        __Pyx_GOTREF(item);
        *(temps[i]) = item;
      }
    }
    #endif
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  } else {
    Py_ssize_t index = -1;
    PyObject** temps[4] = {&__pyx_t_2,&__pyx_t_3,&__pyx_t_5,&__pyx_t_6};
    __pyx_t_7 = PyObject_GetIter(__pyx_t_1); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 430, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_8 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_7);
    for (index=0; index < 4; index++) {
      PyObject* item = __pyx_t_8(__pyx_t_7); if (unlikely(!item)) goto __pyx_L3_unpacking_failed;
      __Pyx_GOTREF(item);
      *(temps[index]) = item;
    }
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_8(__pyx_t_7), 4) < 0) __PYX_ERR(0, 430, __pyx_L1_error)
    __pyx_t_8 = NULL;
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    goto __pyx_L4_unpacking_done;
    __pyx_L3_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    __pyx_t_8 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 430, __pyx_L1_error)
    __pyx_L4_unpacking_done:;
  }
  if ((likely(PyTuple_CheckExact(__pyx_t_2))) || (PyList_CheckExact(__pyx_t_2))) {
    PyObject* sequence = __pyx_t_2;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 430, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_7 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_9 = PyTuple_GET_ITEM(sequence, 1); 
    } else {
      __pyx_t_7 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_9 = PyList_GET_ITEM(sequence, 1); 
    }
    __Pyx_INCREF(__pyx_t_7);
    __Pyx_INCREF(__pyx_t_9);
    #else
    __pyx_t_7 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 430, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __pyx_t_9 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 430, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_9);
    #endif
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  } else {
    Py_ssize_t index = -1;
    __pyx_t_10 = PyObject_GetIter(__pyx_t_2); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 430, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_10);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_t_8 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_10);
    index = 0; __pyx_t_7 = __pyx_t_8(__pyx_t_10); if (unlikely(!__pyx_t_7)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_7);
    index = 1; __pyx_t_9 = __pyx_t_8(__pyx_t_10); if (unlikely(!__pyx_t_9)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_9);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_8(__pyx_t_10), 2) < 0) __PYX_ERR(0, 430, __pyx_L1_error)
    __pyx_t_8 = NULL;
    __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
    goto __pyx_L6_unpacking_done;
    __pyx_L5_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
    __pyx_t_8 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 430, __pyx_L1_error)
    __pyx_L6_unpacking_done:;
  }
  __pyx_v_ax = __pyx_t_7;
  __pyx_t_7 = 0;
  __pyx_v_ay = __pyx_t_9;
  __pyx_t_9 = 0;
  if ((likely(PyTuple_CheckExact(__pyx_t_3))) || (PyList_CheckExact(__pyx_t_3))) {
    PyObject* sequence = __pyx_t_3;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 430, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_9 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_7 = PyTuple_GET_ITEM(sequence, 1); 
    } else {
      __pyx_t_9 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_7 = PyList_GET_ITEM(sequence, 1); 
    }
    __Pyx_INCREF(__pyx_t_9);
    __Pyx_INCREF(__pyx_t_7);
    #else
    __pyx_t_9 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 430, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_9);
    __pyx_t_7 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 430, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    #endif
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  } else {
    Py_ssize_t index = -1;
    __pyx_t_10 = PyObject_GetIter(__pyx_t_3); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 430, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_10);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_8 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_10);
    index = 0; __pyx_t_9 = __pyx_t_8(__pyx_t_10); if (unlikely(!__pyx_t_9)) goto __pyx_L7_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_9);
    index = 1; __pyx_t_7 = __pyx_t_8(__pyx_t_10); if (unlikely(!__pyx_t_7)) goto __pyx_L7_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_7);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_8(__pyx_t_10), 2) < 0) __PYX_ERR(0, 430, __pyx_L1_error)
    __pyx_t_8 = NULL;
    __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
    goto __pyx_L8_unpacking_done;
    __pyx_L7_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
    __pyx_t_8 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 430, __pyx_L1_error)
    __pyx_L8_unpacking_done:;
  }
  __pyx_v_bx = __pyx_t_9;
  __pyx_t_9 = 0;
  __pyx_v_by = __pyx_t_7;
  __pyx_t_7 = 0;
  if ((likely(PyTuple_CheckExact(__pyx_t_5))) || (PyList_CheckExact(__pyx_t_5))) {
    PyObject* sequence = __pyx_t_5;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 430, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_7 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_9 = PyTuple_GET_ITEM(sequence, 1); 
    } else {
      __pyx_t_7 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_9 = PyList_GET_ITEM(sequence, 1); 
    }
    __Pyx_INCREF(__pyx_t_7);
    __Pyx_INCREF(__pyx_t_9);
    #else
    __pyx_t_7 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 430, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __pyx_t_9 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 430, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_9);
    #endif
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  } else {
    Py_ssize_t index = -1;
    __pyx_t_10 = PyObject_GetIter(__pyx_t_5); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 430, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_10);
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __pyx_t_8 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_10);
    index = 0; __pyx_t_7 = __pyx_t_8(__pyx_t_10); if (unlikely(!__pyx_t_7)) goto __pyx_L9_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_7);
    index = 1; __pyx_t_9 = __pyx_t_8(__pyx_t_10); if (unlikely(!__pyx_t_9)) goto __pyx_L9_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_9);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_8(__pyx_t_10), 2) < 0) __PYX_ERR(0, 430, __pyx_L1_error)
    __pyx_t_8 = NULL;
    __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
    goto __pyx_L10_unpacking_done;
    __pyx_L9_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
    __pyx_t_8 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 430, __pyx_L1_error)
    __pyx_L10_unpacking_done:;
  }
  __pyx_v_cx = __pyx_t_7;
  __pyx_t_7 = 0;
  __pyx_v_cy = __pyx_t_9;
  __pyx_t_9 = 0;
  if ((likely(PyTuple_CheckExact(__pyx_t_6))) || (PyList_CheckExact(__pyx_t_6))) {
    PyObject* sequence = __pyx_t_6;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 430, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_9 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_7 = PyTuple_GET_ITEM(sequence, 1); 
    } else {
      __pyx_t_9 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_7 = PyList_GET_ITEM(sequence, 1); 
    }
    __Pyx_INCREF(__pyx_t_9);
    __Pyx_INCREF(__pyx_t_7);
    #else
    __pyx_t_9 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 430, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_9);
    __pyx_t_7 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 430, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    #endif
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
  } else {
    Py_ssize_t index = -1;
    __pyx_t_10 = PyObject_GetIter(__pyx_t_6); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 430, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_10);
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __pyx_t_8 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_10);
    index = 0; __pyx_t_9 = __pyx_t_8(__pyx_t_10); if (unlikely(!__pyx_t_9)) goto __pyx_L11_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_9);
    index = 1; __pyx_t_7 = __pyx_t_8(__pyx_t_10); if (unlikely(!__pyx_t_7)) goto __pyx_L11_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_7);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_8(__pyx_t_10), 2) < 0) __PYX_ERR(0, 430, __pyx_L1_error)
    __pyx_t_8 = NULL;
    __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
    goto __pyx_L12_unpacking_done;
    __pyx_L11_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
    __pyx_t_8 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 430, __pyx_L1_error)
    __pyx_L12_unpacking_done:;
  }
  __pyx_v_dx = __pyx_t_9;
  __pyx_t_9 = 0;
  __pyx_v_dy = __pyx_t_7;
  __pyx_t_7 = 0;

  /* "fontTools/misc/bezierTools.py":432
 *     (ax, ay), (bx, by), (cx, cy), (dx, dy) = calcCubicParameters(pt1, pt2, pt3, pt4)
 *     # calc first derivative
 *     ax3 = ax * 3.0             # <<<<<<<<<<<<<<
 *     ay3 = ay * 3.0
 *     bx2 = bx * 2.0
 */
  __pyx_t_1 = PyNumber_Multiply(__pyx_v_ax, __pyx_float_3_0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 432, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_v_ax3 = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":433
 *     # calc first derivative
 *     ax3 = ax * 3.0
 *     ay3 = ay * 3.0             # <<<<<<<<<<<<<<
 *     bx2 = bx * 2.0
 *     by2 = by * 2.0
 */
  __pyx_t_1 = PyNumber_Multiply(__pyx_v_ay, __pyx_float_3_0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 433, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_v_ay3 = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":434
 *     ax3 = ax * 3.0
 *     ay3 = ay * 3.0
 *     bx2 = bx * 2.0             # <<<<<<<<<<<<<<
 *     by2 = by * 2.0
 *     xRoots = [t for t in solveQuadratic(ax3, bx2, cx) if 0 <= t < 1]
 */
  __pyx_t_1 = PyNumber_Multiply(__pyx_v_bx, __pyx_float_2_0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 434, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_v_bx2 = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":435
 *     ay3 = ay * 3.0
 *     bx2 = bx * 2.0
 *     by2 = by * 2.0             # <<<<<<<<<<<<<<
 *     xRoots = [t for t in solveQuadratic(ax3, bx2, cx) if 0 <= t < 1]
 *     yRoots = [t for t in solveQuadratic(ay3, by2, cy) if 0 <= t < 1]
 */
  __pyx_t_1 = PyNumber_Multiply(__pyx_v_by, __pyx_float_2_0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 435, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_v_by2 = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":436
 *     bx2 = bx * 2.0
 *     by2 = by * 2.0
 *     xRoots = [t for t in solveQuadratic(ax3, bx2, cx) if 0 <= t < 1]             # <<<<<<<<<<<<<<
 *     yRoots = [t for t in solveQuadratic(ay3, by2, cy) if 0 <= t < 1]
 *     roots = xRoots + yRoots
 */
  { /* enter inner scope */
    __pyx_t_1 = PyList_New(0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 436, __pyx_L15_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_GetModuleGlobalName(__pyx_t_5, __pyx_n_s_solveQuadratic); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 436, __pyx_L15_error)
    __Pyx_GOTREF(__pyx_t_5);
    __pyx_t_3 = NULL;
    __pyx_t_4 = 0;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_5))) {
      __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_5);
      if (likely(__pyx_t_3)) {
        PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_5);
        __Pyx_INCREF(__pyx_t_3);
        __Pyx_INCREF(function);
        __Pyx_DECREF_SET(__pyx_t_5, function);
        __pyx_t_4 = 1;
      }
    }
    #endif
    {
      PyObject *__pyx_callargs[4] = {__pyx_t_3, __pyx_v_ax3, __pyx_v_bx2, __pyx_v_cx};
      __pyx_t_6 = __Pyx_PyObject_FastCall(__pyx_t_5, __pyx_callargs+1-__pyx_t_4, 3+__pyx_t_4);
      __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
      if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 436, __pyx_L15_error)
      __Pyx_GOTREF(__pyx_t_6);
      __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    }
    if (likely(PyList_CheckExact(__pyx_t_6)) || PyTuple_CheckExact(__pyx_t_6)) {
      __pyx_t_5 = __pyx_t_6; __Pyx_INCREF(__pyx_t_5);
      __pyx_t_11 = 0;
      __pyx_t_12 = NULL;
    } else {
      __pyx_t_11 = -1; __pyx_t_5 = PyObject_GetIter(__pyx_t_6); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 436, __pyx_L15_error)
      __Pyx_GOTREF(__pyx_t_5);
      __pyx_t_12 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_5); if (unlikely(!__pyx_t_12)) __PYX_ERR(0, 436, __pyx_L15_error)
    }
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    for (;;) {
      if (likely(!__pyx_t_12)) {
        if (likely(PyList_CheckExact(__pyx_t_5))) {
          {
            Py_ssize_t __pyx_temp = __Pyx_PyList_GET_SIZE(__pyx_t_5);
            #if !CYTHON_ASSUME_SAFE_MACROS
            if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 436, __pyx_L15_error)
            #endif
            if (__pyx_t_11 >= __pyx_temp) break;
          }
          #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
          __pyx_t_6 = PyList_GET_ITEM(__pyx_t_5, __pyx_t_11); __Pyx_INCREF(__pyx_t_6); __pyx_t_11++; if (unlikely((0 < 0))) __PYX_ERR(0, 436, __pyx_L15_error)
          #else
          __pyx_t_6 = __Pyx_PySequence_ITEM(__pyx_t_5, __pyx_t_11); __pyx_t_11++; if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 436, __pyx_L15_error)
          __Pyx_GOTREF(__pyx_t_6);
          #endif
        } else {
          {
            Py_ssize_t __pyx_temp = __Pyx_PyTuple_GET_SIZE(__pyx_t_5);
            #if !CYTHON_ASSUME_SAFE_MACROS
            if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 436, __pyx_L15_error)
            #endif
            if (__pyx_t_11 >= __pyx_temp) break;
          }
          #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
          __pyx_t_6 = PyTuple_GET_ITEM(__pyx_t_5, __pyx_t_11); __Pyx_INCREF(__pyx_t_6); __pyx_t_11++; if (unlikely((0 < 0))) __PYX_ERR(0, 436, __pyx_L15_error)
          #else
          __pyx_t_6 = __Pyx_PySequence_ITEM(__pyx_t_5, __pyx_t_11); __pyx_t_11++; if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 436, __pyx_L15_error)
          __Pyx_GOTREF(__pyx_t_6);
          #endif
        }
      } else {
        __pyx_t_6 = __pyx_t_12(__pyx_t_5);
        if (unlikely(!__pyx_t_6)) {
          PyObject* exc_type = PyErr_Occurred();
          if (exc_type) {
            if (likely(__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration))) PyErr_Clear();
            else __PYX_ERR(0, 436, __pyx_L15_error)
          }
          break;
        }
        __Pyx_GOTREF(__pyx_t_6);
      }
      __Pyx_XDECREF_SET(__pyx_8genexpr1__pyx_v_t, __pyx_t_6);
      __pyx_t_6 = 0;
      __pyx_t_6 = PyObject_RichCompare(__pyx_int_0, __pyx_8genexpr1__pyx_v_t, Py_LE); __Pyx_XGOTREF(__pyx_t_6); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 436, __pyx_L15_error)
      if (__Pyx_PyObject_IsTrue(__pyx_t_6)) {
        __Pyx_DECREF(__pyx_t_6);
        __pyx_t_6 = PyObject_RichCompare(__pyx_8genexpr1__pyx_v_t, __pyx_int_1, Py_LT); __Pyx_XGOTREF(__pyx_t_6); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 436, __pyx_L15_error)
      }
      __pyx_t_13 = __Pyx_PyObject_IsTrue(__pyx_t_6); if (unlikely((__pyx_t_13 < 0))) __PYX_ERR(0, 436, __pyx_L15_error)
      __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
      if (__pyx_t_13) {
        if (unlikely(__Pyx_ListComp_Append(__pyx_t_1, (PyObject*)__pyx_8genexpr1__pyx_v_t))) __PYX_ERR(0, 436, __pyx_L15_error)
      }
    }
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __Pyx_XDECREF(__pyx_8genexpr1__pyx_v_t); __pyx_8genexpr1__pyx_v_t = 0;
    goto __pyx_L20_exit_scope;
    __pyx_L15_error:;
    __Pyx_XDECREF(__pyx_8genexpr1__pyx_v_t); __pyx_8genexpr1__pyx_v_t = 0;
    goto __pyx_L1_error;
    __pyx_L20_exit_scope:;
  } /* exit inner scope */
  __pyx_v_xRoots = ((PyObject*)__pyx_t_1);
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":437
 *     by2 = by * 2.0
 *     xRoots = [t for t in solveQuadratic(ax3, bx2, cx) if 0 <= t < 1]
 *     yRoots = [t for t in solveQuadratic(ay3, by2, cy) if 0 <= t < 1]             # <<<<<<<<<<<<<<
 *     roots = xRoots + yRoots
 * 
 */
  { /* enter inner scope */
    __pyx_t_1 = PyList_New(0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 437, __pyx_L23_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_GetModuleGlobalName(__pyx_t_6, __pyx_n_s_solveQuadratic); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 437, __pyx_L23_error)
    __Pyx_GOTREF(__pyx_t_6);
    __pyx_t_3 = NULL;
    __pyx_t_4 = 0;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_6))) {
      __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_6);
      if (likely(__pyx_t_3)) {
        PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_6);
        __Pyx_INCREF(__pyx_t_3);
        __Pyx_INCREF(function);
        __Pyx_DECREF_SET(__pyx_t_6, function);
        __pyx_t_4 = 1;
      }
    }
    #endif
    {
      PyObject *__pyx_callargs[4] = {__pyx_t_3, __pyx_v_ay3, __pyx_v_by2, __pyx_v_cy};
      __pyx_t_5 = __Pyx_PyObject_FastCall(__pyx_t_6, __pyx_callargs+1-__pyx_t_4, 3+__pyx_t_4);
      __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
      if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 437, __pyx_L23_error)
      __Pyx_GOTREF(__pyx_t_5);
      __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    }
    if (likely(PyList_CheckExact(__pyx_t_5)) || PyTuple_CheckExact(__pyx_t_5)) {
      __pyx_t_6 = __pyx_t_5; __Pyx_INCREF(__pyx_t_6);
      __pyx_t_11 = 0;
      __pyx_t_12 = NULL;
    } else {
      __pyx_t_11 = -1; __pyx_t_6 = PyObject_GetIter(__pyx_t_5); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 437, __pyx_L23_error)
      __Pyx_GOTREF(__pyx_t_6);
      __pyx_t_12 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_6); if (unlikely(!__pyx_t_12)) __PYX_ERR(0, 437, __pyx_L23_error)
    }
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    for (;;) {
      if (likely(!__pyx_t_12)) {
        if (likely(PyList_CheckExact(__pyx_t_6))) {
          {
            Py_ssize_t __pyx_temp = __Pyx_PyList_GET_SIZE(__pyx_t_6);
            #if !CYTHON_ASSUME_SAFE_MACROS
            if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 437, __pyx_L23_error)
            #endif
            if (__pyx_t_11 >= __pyx_temp) break;
          }
          #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
          __pyx_t_5 = PyList_GET_ITEM(__pyx_t_6, __pyx_t_11); __Pyx_INCREF(__pyx_t_5); __pyx_t_11++; if (unlikely((0 < 0))) __PYX_ERR(0, 437, __pyx_L23_error)
          #else
          __pyx_t_5 = __Pyx_PySequence_ITEM(__pyx_t_6, __pyx_t_11); __pyx_t_11++; if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 437, __pyx_L23_error)
          __Pyx_GOTREF(__pyx_t_5);
          #endif
        } else {
          {
            Py_ssize_t __pyx_temp = __Pyx_PyTuple_GET_SIZE(__pyx_t_6);
            #if !CYTHON_ASSUME_SAFE_MACROS
            if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 437, __pyx_L23_error)
            #endif
            if (__pyx_t_11 >= __pyx_temp) break;
          }
          #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
          __pyx_t_5 = PyTuple_GET_ITEM(__pyx_t_6, __pyx_t_11); __Pyx_INCREF(__pyx_t_5); __pyx_t_11++; if (unlikely((0 < 0))) __PYX_ERR(0, 437, __pyx_L23_error)
          #else
          __pyx_t_5 = __Pyx_PySequence_ITEM(__pyx_t_6, __pyx_t_11); __pyx_t_11++; if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 437, __pyx_L23_error)
          __Pyx_GOTREF(__pyx_t_5);
          #endif
        }
      } else {
        __pyx_t_5 = __pyx_t_12(__pyx_t_6);
        if (unlikely(!__pyx_t_5)) {
          PyObject* exc_type = PyErr_Occurred();
          if (exc_type) {
            if (likely(__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration))) PyErr_Clear();
            else __PYX_ERR(0, 437, __pyx_L23_error)
          }
          break;
        }
        __Pyx_GOTREF(__pyx_t_5);
      }
      __Pyx_XDECREF_SET(__pyx_8genexpr2__pyx_v_t, __pyx_t_5);
      __pyx_t_5 = 0;
      __pyx_t_5 = PyObject_RichCompare(__pyx_int_0, __pyx_8genexpr2__pyx_v_t, Py_LE); __Pyx_XGOTREF(__pyx_t_5); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 437, __pyx_L23_error)
      if (__Pyx_PyObject_IsTrue(__pyx_t_5)) {
        __Pyx_DECREF(__pyx_t_5);
        __pyx_t_5 = PyObject_RichCompare(__pyx_8genexpr2__pyx_v_t, __pyx_int_1, Py_LT); __Pyx_XGOTREF(__pyx_t_5); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 437, __pyx_L23_error)
      }
      __pyx_t_13 = __Pyx_PyObject_IsTrue(__pyx_t_5); if (unlikely((__pyx_t_13 < 0))) __PYX_ERR(0, 437, __pyx_L23_error)
      __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
      if (__pyx_t_13) {
        if (unlikely(__Pyx_ListComp_Append(__pyx_t_1, (PyObject*)__pyx_8genexpr2__pyx_v_t))) __PYX_ERR(0, 437, __pyx_L23_error)
      }
    }
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __Pyx_XDECREF(__pyx_8genexpr2__pyx_v_t); __pyx_8genexpr2__pyx_v_t = 0;
    goto __pyx_L28_exit_scope;
    __pyx_L23_error:;
    __Pyx_XDECREF(__pyx_8genexpr2__pyx_v_t); __pyx_8genexpr2__pyx_v_t = 0;
    goto __pyx_L1_error;
    __pyx_L28_exit_scope:;
  } /* exit inner scope */
  __pyx_v_yRoots = ((PyObject*)__pyx_t_1);
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":438
 *     xRoots = [t for t in solveQuadratic(ax3, bx2, cx) if 0 <= t < 1]
 *     yRoots = [t for t in solveQuadratic(ay3, by2, cy) if 0 <= t < 1]
 *     roots = xRoots + yRoots             # <<<<<<<<<<<<<<
 * 
 *     points = [
 */
  __pyx_t_1 = PyNumber_Add(__pyx_v_xRoots, __pyx_v_yRoots); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 438, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_v_roots = ((PyObject*)__pyx_t_1);
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":446
 *         )
 *         for t in roots
 *     ] + [pt1, pt4]             # <<<<<<<<<<<<<<
 *     return calcBounds(points)
 * 
 */
  { /* enter inner scope */

    /* "fontTools/misc/bezierTools.py":440
 *     roots = xRoots + yRoots
 * 
 *     points = [             # <<<<<<<<<<<<<<
 *         (
 *             ax * t * t * t + bx * t * t + cx * t + dx,
 */
    __pyx_t_1 = PyList_New(0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 440, __pyx_L31_error)
    __Pyx_GOTREF(__pyx_t_1);

    /* "fontTools/misc/bezierTools.py":445
 *             ay * t * t * t + by * t * t + cy * t + dy,
 *         )
 *         for t in roots             # <<<<<<<<<<<<<<
 *     ] + [pt1, pt4]
 *     return calcBounds(points)
 */
    __pyx_t_6 = __pyx_v_roots; __Pyx_INCREF(__pyx_t_6);
    __pyx_t_11 = 0;
    for (;;) {
      {
        Py_ssize_t __pyx_temp = __Pyx_PyList_GET_SIZE(__pyx_t_6);
        #if !CYTHON_ASSUME_SAFE_MACROS
        if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 445, __pyx_L31_error)
        #endif
        if (__pyx_t_11 >= __pyx_temp) break;
      }
      #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
      __pyx_t_5 = PyList_GET_ITEM(__pyx_t_6, __pyx_t_11); __Pyx_INCREF(__pyx_t_5); __pyx_t_11++; if (unlikely((0 < 0))) __PYX_ERR(0, 445, __pyx_L31_error)
      #else
      __pyx_t_5 = __Pyx_PySequence_ITEM(__pyx_t_6, __pyx_t_11); __pyx_t_11++; if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 445, __pyx_L31_error)
      __Pyx_GOTREF(__pyx_t_5);
      #endif
      __Pyx_XDECREF_SET(__pyx_8genexpr3__pyx_v_t, __pyx_t_5);
      __pyx_t_5 = 0;

      /* "fontTools/misc/bezierTools.py":442
 *     points = [
 *         (
 *             ax * t * t * t + bx * t * t + cx * t + dx,             # <<<<<<<<<<<<<<
 *             ay * t * t * t + by * t * t + cy * t + dy,
 *         )
 */
      __pyx_t_5 = PyNumber_Multiply(__pyx_v_ax, __pyx_8genexpr3__pyx_v_t); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 442, __pyx_L31_error)
      __Pyx_GOTREF(__pyx_t_5);
      __pyx_t_3 = PyNumber_Multiply(__pyx_t_5, __pyx_8genexpr3__pyx_v_t); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 442, __pyx_L31_error)
      __Pyx_GOTREF(__pyx_t_3);
      __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
      __pyx_t_5 = PyNumber_Multiply(__pyx_t_3, __pyx_8genexpr3__pyx_v_t); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 442, __pyx_L31_error)
      __Pyx_GOTREF(__pyx_t_5);
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __pyx_t_3 = PyNumber_Multiply(__pyx_v_bx, __pyx_8genexpr3__pyx_v_t); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 442, __pyx_L31_error)
      __Pyx_GOTREF(__pyx_t_3);
      __pyx_t_2 = PyNumber_Multiply(__pyx_t_3, __pyx_8genexpr3__pyx_v_t); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 442, __pyx_L31_error)
      __Pyx_GOTREF(__pyx_t_2);
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __pyx_t_3 = PyNumber_Add(__pyx_t_5, __pyx_t_2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 442, __pyx_L31_error)
      __Pyx_GOTREF(__pyx_t_3);
      __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
      __pyx_t_2 = PyNumber_Multiply(__pyx_v_cx, __pyx_8genexpr3__pyx_v_t); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 442, __pyx_L31_error)
      __Pyx_GOTREF(__pyx_t_2);
      __pyx_t_5 = PyNumber_Add(__pyx_t_3, __pyx_t_2); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 442, __pyx_L31_error)
      __Pyx_GOTREF(__pyx_t_5);
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
      __pyx_t_2 = PyNumber_Add(__pyx_t_5, __pyx_v_dx); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 442, __pyx_L31_error)
      __Pyx_GOTREF(__pyx_t_2);
      __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;

      /* "fontTools/misc/bezierTools.py":443
 *         (
 *             ax * t * t * t + bx * t * t + cx * t + dx,
 *             ay * t * t * t + by * t * t + cy * t + dy,             # <<<<<<<<<<<<<<
 *         )
 *         for t in roots
 */
      __pyx_t_5 = PyNumber_Multiply(__pyx_v_ay, __pyx_8genexpr3__pyx_v_t); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 443, __pyx_L31_error)
      __Pyx_GOTREF(__pyx_t_5);
      __pyx_t_3 = PyNumber_Multiply(__pyx_t_5, __pyx_8genexpr3__pyx_v_t); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 443, __pyx_L31_error)
      __Pyx_GOTREF(__pyx_t_3);
      __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
      __pyx_t_5 = PyNumber_Multiply(__pyx_t_3, __pyx_8genexpr3__pyx_v_t); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 443, __pyx_L31_error)
      __Pyx_GOTREF(__pyx_t_5);
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __pyx_t_3 = PyNumber_Multiply(__pyx_v_by, __pyx_8genexpr3__pyx_v_t); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 443, __pyx_L31_error)
      __Pyx_GOTREF(__pyx_t_3);
      __pyx_t_7 = PyNumber_Multiply(__pyx_t_3, __pyx_8genexpr3__pyx_v_t); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 443, __pyx_L31_error)
      __Pyx_GOTREF(__pyx_t_7);
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __pyx_t_3 = PyNumber_Add(__pyx_t_5, __pyx_t_7); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 443, __pyx_L31_error)
      __Pyx_GOTREF(__pyx_t_3);
      __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
      __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
      __pyx_t_7 = PyNumber_Multiply(__pyx_v_cy, __pyx_8genexpr3__pyx_v_t); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 443, __pyx_L31_error)
      __Pyx_GOTREF(__pyx_t_7);
      __pyx_t_5 = PyNumber_Add(__pyx_t_3, __pyx_t_7); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 443, __pyx_L31_error)
      __Pyx_GOTREF(__pyx_t_5);
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
      __pyx_t_7 = PyNumber_Add(__pyx_t_5, __pyx_v_dy); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 443, __pyx_L31_error)
      __Pyx_GOTREF(__pyx_t_7);
      __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;

      /* "fontTools/misc/bezierTools.py":442
 *     points = [
 *         (
 *             ax * t * t * t + bx * t * t + cx * t + dx,             # <<<<<<<<<<<<<<
 *             ay * t * t * t + by * t * t + cy * t + dy,
 *         )
 */
      __pyx_t_5 = PyTuple_New(2); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 442, __pyx_L31_error)
      __Pyx_GOTREF(__pyx_t_5);
      __Pyx_GIVEREF(__pyx_t_2);
      if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_t_2)) __PYX_ERR(0, 442, __pyx_L31_error);
      __Pyx_GIVEREF(__pyx_t_7);
      if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 1, __pyx_t_7)) __PYX_ERR(0, 442, __pyx_L31_error);
      __pyx_t_2 = 0;
      __pyx_t_7 = 0;
      if (unlikely(__Pyx_ListComp_Append(__pyx_t_1, (PyObject*)__pyx_t_5))) __PYX_ERR(0, 440, __pyx_L31_error)
      __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;

      /* "fontTools/misc/bezierTools.py":445
 *             ay * t * t * t + by * t * t + cy * t + dy,
 *         )
 *         for t in roots             # <<<<<<<<<<<<<<
 *     ] + [pt1, pt4]
 *     return calcBounds(points)
 */
    }
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __Pyx_XDECREF(__pyx_8genexpr3__pyx_v_t); __pyx_8genexpr3__pyx_v_t = 0;
    goto __pyx_L35_exit_scope;
    __pyx_L31_error:;
    __Pyx_XDECREF(__pyx_8genexpr3__pyx_v_t); __pyx_8genexpr3__pyx_v_t = 0;
    goto __pyx_L1_error;
    __pyx_L35_exit_scope:;
  } /* exit inner scope */

  /* "fontTools/misc/bezierTools.py":446
 *         )
 *         for t in roots
 *     ] + [pt1, pt4]             # <<<<<<<<<<<<<<
 *     return calcBounds(points)
 * 
 */
  __pyx_t_6 = PyList_New(2); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 446, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __Pyx_INCREF(__pyx_v_pt1);
  __Pyx_GIVEREF(__pyx_v_pt1);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_6, 0, __pyx_v_pt1)) __PYX_ERR(0, 446, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_pt4);
  __Pyx_GIVEREF(__pyx_v_pt4);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_6, 1, __pyx_v_pt4)) __PYX_ERR(0, 446, __pyx_L1_error);
  __pyx_t_5 = PyNumber_Add(__pyx_t_1, __pyx_t_6); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 446, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
  __pyx_v_points = ((PyObject*)__pyx_t_5);
  __pyx_t_5 = 0;

  /* "fontTools/misc/bezierTools.py":447
 *         for t in roots
 *     ] + [pt1, pt4]
 *     return calcBounds(points)             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __Pyx_XDECREF(__pyx_r);
  __Pyx_GetModuleGlobalName(__pyx_t_6, __pyx_n_s_calcBounds); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 447, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __pyx_t_1 = NULL;
  __pyx_t_4 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_6))) {
    __pyx_t_1 = PyMethod_GET_SELF(__pyx_t_6);
    if (likely(__pyx_t_1)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_6);
      __Pyx_INCREF(__pyx_t_1);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_6, function);
      __pyx_t_4 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[2] = {__pyx_t_1, __pyx_v_points};
    __pyx_t_5 = __Pyx_PyObject_FastCall(__pyx_t_6, __pyx_callargs+1-__pyx_t_4, 1+__pyx_t_4);
    __Pyx_XDECREF(__pyx_t_1); __pyx_t_1 = 0;
    if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 447, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
  }
  __pyx_r = __pyx_t_5;
  __pyx_t_5 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":412
 * 
 * 
 * def calcCubicBounds(pt1, pt2, pt3, pt4):             # <<<<<<<<<<<<<<
 *     """Calculates the bounding rectangle for a quadratic Bezier segment.
 * 
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_XDECREF(__pyx_t_7);
  __Pyx_XDECREF(__pyx_t_9);
  __Pyx_XDECREF(__pyx_t_10);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.calcCubicBounds", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_ax);
  __Pyx_XDECREF(__pyx_v_ay);
  __Pyx_XDECREF(__pyx_v_bx);
  __Pyx_XDECREF(__pyx_v_by);
  __Pyx_XDECREF(__pyx_v_cx);
  __Pyx_XDECREF(__pyx_v_cy);
  __Pyx_XDECREF(__pyx_v_dx);
  __Pyx_XDECREF(__pyx_v_dy);
  __Pyx_XDECREF(__pyx_v_ax3);
  __Pyx_XDECREF(__pyx_v_ay3);
  __Pyx_XDECREF(__pyx_v_bx2);
  __Pyx_XDECREF(__pyx_v_by2);
  __Pyx_XDECREF(__pyx_v_xRoots);
  __Pyx_XDECREF(__pyx_v_yRoots);
  __Pyx_XDECREF(__pyx_v_roots);
  __Pyx_XDECREF(__pyx_v_points);
  __Pyx_XDECREF(__pyx_8genexpr1__pyx_v_t);
  __Pyx_XDECREF(__pyx_8genexpr2__pyx_v_t);
  __Pyx_XDECREF(__pyx_8genexpr3__pyx_v_t);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":450
 * 
 * 
 * def splitLine(pt1, pt2, where, isHorizontal):             # <<<<<<<<<<<<<<
 *     """Split a line at a given coordinate.
 * 
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_25splitLine(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_24splitLine, "splitLine(pt1, pt2, where, isHorizontal)\nSplit a line at a given coordinate.\n\n    Args:\n        pt1: Start point of line as 2D tuple.\n        pt2: End point of line as 2D tuple.\n        where: Position at which to split the line.\n        isHorizontal: Direction of the ray splitting the line. If true,\n            ``where`` is interpreted as a Y coordinate; if false, then\n            ``where`` is interpreted as an X coordinate.\n\n    Returns:\n        A list of two line segments (each line segment being two 2D tuples)\n        if the line was successfully split, or a list containing the original\n        line.\n\n    Example::\n\n        >>> printSegments(splitLine((0, 0), (100, 100), 50, True))\n        ((0, 0), (50, 50))\n        ((50, 50), (100, 100))\n        >>> printSegments(splitLine((0, 0), (100, 100), 100, True))\n        ((0, 0), (100, 100))\n        >>> printSegments(splitLine((0, 0), (100, 100), 0, True))\n        ((0, 0), (0, 0))\n        ((0, 0), (100, 100))\n        >>> printSegments(splitLine((0, 0), (100, 100), 0, False))\n        ((0, 0), (0, 0))\n        ((0, 0), (100, 100))\n        >>> printSegments(splitLine((100, 0), (0, 0), 50, False))\n        ((100, 0), (50, 0))\n        ((50, 0), (0, 0))\n        >>> printSegments(splitLine((0, 100), (0, 0), 50, True))\n        ((0, 100), (0, 50))\n        ((0, 50), (0, 0))\n    ");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_25splitLine = {"splitLine", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_25splitLine, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_24splitLine};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_25splitLine(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_pt1 = 0;
  PyObject *__pyx_v_pt2 = 0;
  PyObject *__pyx_v_where = 0;
  PyObject *__pyx_v_isHorizontal = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[4] = {0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("splitLine (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_pt1,&__pyx_n_s_pt2,&__pyx_n_s_where,&__pyx_n_s_isHorizontal,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  4: values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt1)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 450, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt2)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[1]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 450, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("splitLine", 1, 4, 4, 1); __PYX_ERR(0, 450, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_where)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[2]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 450, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("splitLine", 1, 4, 4, 2); __PYX_ERR(0, 450, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  3:
        if (likely((values[3] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_isHorizontal)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[3]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 450, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("splitLine", 1, 4, 4, 3); __PYX_ERR(0, 450, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "splitLine") < 0)) __PYX_ERR(0, 450, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs != 4)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
      values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
      values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
      values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
    }
    __pyx_v_pt1 = values[0];
    __pyx_v_pt2 = values[1];
    __pyx_v_where = values[2];
    __pyx_v_isHorizontal = values[3];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("splitLine", 1, 4, 4, __pyx_nargs); __PYX_ERR(0, 450, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.splitLine", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_24splitLine(__pyx_self, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_where, __pyx_v_isHorizontal);

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_24splitLine(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_where, PyObject *__pyx_v_isHorizontal) {
  PyObject *__pyx_v_pt1x = NULL;
  PyObject *__pyx_v_pt1y = NULL;
  PyObject *__pyx_v_pt2x = NULL;
  PyObject *__pyx_v_pt2y = NULL;
  PyObject *__pyx_v_ax = NULL;
  PyObject *__pyx_v_ay = NULL;
  PyObject *__pyx_v_bx = NULL;
  PyObject *__pyx_v_by = NULL;
  PyObject *__pyx_v_a = NULL;
  PyObject *__pyx_v_t = NULL;
  PyObject *__pyx_v_midPt = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *(*__pyx_t_4)(PyObject *);
  int __pyx_t_5;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("splitLine", 1);

  /* "fontTools/misc/bezierTools.py":486
 *         ((0, 50), (0, 0))
 *     """
 *     pt1x, pt1y = pt1             # <<<<<<<<<<<<<<
 *     pt2x, pt2y = pt2
 * 
 */
  if ((likely(PyTuple_CheckExact(__pyx_v_pt1))) || (PyList_CheckExact(__pyx_v_pt1))) {
    PyObject* sequence = __pyx_v_pt1;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 486, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 1); 
    } else {
      __pyx_t_1 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_2 = PyList_GET_ITEM(sequence, 1); 
    }
    __Pyx_INCREF(__pyx_t_1);
    __Pyx_INCREF(__pyx_t_2);
    #else
    __pyx_t_1 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 486, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 486, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_3 = PyObject_GetIter(__pyx_v_pt1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 486, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_3);
    index = 0; __pyx_t_1 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_1)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    index = 1; __pyx_t_2 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_2)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_4(__pyx_t_3), 2) < 0) __PYX_ERR(0, 486, __pyx_L1_error)
    __pyx_t_4 = NULL;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    goto __pyx_L4_unpacking_done;
    __pyx_L3_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 486, __pyx_L1_error)
    __pyx_L4_unpacking_done:;
  }
  __pyx_v_pt1x = __pyx_t_1;
  __pyx_t_1 = 0;
  __pyx_v_pt1y = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":487
 *     """
 *     pt1x, pt1y = pt1
 *     pt2x, pt2y = pt2             # <<<<<<<<<<<<<<
 * 
 *     ax = pt2x - pt1x
 */
  if ((likely(PyTuple_CheckExact(__pyx_v_pt2))) || (PyList_CheckExact(__pyx_v_pt2))) {
    PyObject* sequence = __pyx_v_pt2;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 487, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 1); 
    } else {
      __pyx_t_2 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_1 = PyList_GET_ITEM(sequence, 1); 
    }
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx_t_1);
    #else
    __pyx_t_2 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 487, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 487, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_3 = PyObject_GetIter(__pyx_v_pt2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 487, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_3);
    index = 0; __pyx_t_2 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_2)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    index = 1; __pyx_t_1 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_1)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_4(__pyx_t_3), 2) < 0) __PYX_ERR(0, 487, __pyx_L1_error)
    __pyx_t_4 = NULL;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    goto __pyx_L6_unpacking_done;
    __pyx_L5_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 487, __pyx_L1_error)
    __pyx_L6_unpacking_done:;
  }
  __pyx_v_pt2x = __pyx_t_2;
  __pyx_t_2 = 0;
  __pyx_v_pt2y = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":489
 *     pt2x, pt2y = pt2
 * 
 *     ax = pt2x - pt1x             # <<<<<<<<<<<<<<
 *     ay = pt2y - pt1y
 * 
 */
  __pyx_t_1 = PyNumber_Subtract(__pyx_v_pt2x, __pyx_v_pt1x); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 489, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_v_ax = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":490
 * 
 *     ax = pt2x - pt1x
 *     ay = pt2y - pt1y             # <<<<<<<<<<<<<<
 * 
 *     bx = pt1x
 */
  __pyx_t_1 = PyNumber_Subtract(__pyx_v_pt2y, __pyx_v_pt1y); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 490, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_v_ay = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":492
 *     ay = pt2y - pt1y
 * 
 *     bx = pt1x             # <<<<<<<<<<<<<<
 *     by = pt1y
 * 
 */
  __Pyx_INCREF(__pyx_v_pt1x);
  __pyx_v_bx = __pyx_v_pt1x;

  /* "fontTools/misc/bezierTools.py":493
 * 
 *     bx = pt1x
 *     by = pt1y             # <<<<<<<<<<<<<<
 * 
 *     a = (ax, ay)[isHorizontal]
 */
  __Pyx_INCREF(__pyx_v_pt1y);
  __pyx_v_by = __pyx_v_pt1y;

  /* "fontTools/misc/bezierTools.py":495
 *     by = pt1y
 * 
 *     a = (ax, ay)[isHorizontal]             # <<<<<<<<<<<<<<
 * 
 *     if a == 0:
 */
  __pyx_t_1 = PyTuple_New(2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 495, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_INCREF(__pyx_v_ax);
  __Pyx_GIVEREF(__pyx_v_ax);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_v_ax)) __PYX_ERR(0, 495, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_ay);
  __Pyx_GIVEREF(__pyx_v_ay);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_v_ay)) __PYX_ERR(0, 495, __pyx_L1_error);
  __pyx_t_2 = __Pyx_PyObject_GetItem(__pyx_t_1, __pyx_v_isHorizontal); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 495, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_v_a = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":497
 *     a = (ax, ay)[isHorizontal]
 * 
 *     if a == 0:             # <<<<<<<<<<<<<<
 *         return [(pt1, pt2)]
 *     t = (where - (bx, by)[isHorizontal]) / a
 */
  __pyx_t_5 = (__Pyx_PyInt_BoolEqObjC(__pyx_v_a, __pyx_int_0, 0, 0)); if (unlikely((__pyx_t_5 < 0))) __PYX_ERR(0, 497, __pyx_L1_error)
  if (__pyx_t_5) {

    /* "fontTools/misc/bezierTools.py":498
 * 
 *     if a == 0:
 *         return [(pt1, pt2)]             # <<<<<<<<<<<<<<
 *     t = (where - (bx, by)[isHorizontal]) / a
 *     if 0 <= t < 1:
 */
    __Pyx_XDECREF(__pyx_r);
    __pyx_t_2 = PyTuple_New(2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 498, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_INCREF(__pyx_v_pt1);
    __Pyx_GIVEREF(__pyx_v_pt1);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_v_pt1)) __PYX_ERR(0, 498, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_pt2);
    __Pyx_GIVEREF(__pyx_v_pt2);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 1, __pyx_v_pt2)) __PYX_ERR(0, 498, __pyx_L1_error);
    __pyx_t_1 = PyList_New(1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 498, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_GIVEREF(__pyx_t_2);
    if (__Pyx_PyList_SET_ITEM(__pyx_t_1, 0, __pyx_t_2)) __PYX_ERR(0, 498, __pyx_L1_error);
    __pyx_t_2 = 0;
    __pyx_r = __pyx_t_1;
    __pyx_t_1 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":497
 *     a = (ax, ay)[isHorizontal]
 * 
 *     if a == 0:             # <<<<<<<<<<<<<<
 *         return [(pt1, pt2)]
 *     t = (where - (bx, by)[isHorizontal]) / a
 */
  }

  /* "fontTools/misc/bezierTools.py":499
 *     if a == 0:
 *         return [(pt1, pt2)]
 *     t = (where - (bx, by)[isHorizontal]) / a             # <<<<<<<<<<<<<<
 *     if 0 <= t < 1:
 *         midPt = ax * t + bx, ay * t + by
 */
  __pyx_t_1 = PyTuple_New(2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 499, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_INCREF(__pyx_v_bx);
  __Pyx_GIVEREF(__pyx_v_bx);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_v_bx)) __PYX_ERR(0, 499, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_by);
  __Pyx_GIVEREF(__pyx_v_by);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_v_by)) __PYX_ERR(0, 499, __pyx_L1_error);
  __pyx_t_2 = __Pyx_PyObject_GetItem(__pyx_t_1, __pyx_v_isHorizontal); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 499, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyNumber_Subtract(__pyx_v_where, __pyx_t_2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 499, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = __Pyx_PyNumber_Divide(__pyx_t_1, __pyx_v_a); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 499, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_v_t = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":500
 *         return [(pt1, pt2)]
 *     t = (where - (bx, by)[isHorizontal]) / a
 *     if 0 <= t < 1:             # <<<<<<<<<<<<<<
 *         midPt = ax * t + bx, ay * t + by
 *         return [(pt1, midPt), (midPt, pt2)]
 */
  __pyx_t_2 = PyObject_RichCompare(__pyx_int_0, __pyx_v_t, Py_LE); __Pyx_XGOTREF(__pyx_t_2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 500, __pyx_L1_error)
  if (__Pyx_PyObject_IsTrue(__pyx_t_2)) {
    __Pyx_DECREF(__pyx_t_2);
    __pyx_t_2 = PyObject_RichCompare(__pyx_v_t, __pyx_int_1, Py_LT); __Pyx_XGOTREF(__pyx_t_2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 500, __pyx_L1_error)
  }
  __pyx_t_5 = __Pyx_PyObject_IsTrue(__pyx_t_2); if (unlikely((__pyx_t_5 < 0))) __PYX_ERR(0, 500, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  if (__pyx_t_5) {

    /* "fontTools/misc/bezierTools.py":501
 *     t = (where - (bx, by)[isHorizontal]) / a
 *     if 0 <= t < 1:
 *         midPt = ax * t + bx, ay * t + by             # <<<<<<<<<<<<<<
 *         return [(pt1, midPt), (midPt, pt2)]
 *     else:
 */
    __pyx_t_2 = PyNumber_Multiply(__pyx_v_ax, __pyx_v_t); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 501, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = PyNumber_Add(__pyx_t_2, __pyx_v_bx); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 501, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_t_2 = PyNumber_Multiply(__pyx_v_ay, __pyx_v_t); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 501, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_3 = PyNumber_Add(__pyx_t_2, __pyx_v_by); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 501, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_t_2 = PyTuple_New(2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 501, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_GIVEREF(__pyx_t_1);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_t_1)) __PYX_ERR(0, 501, __pyx_L1_error);
    __Pyx_GIVEREF(__pyx_t_3);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 1, __pyx_t_3)) __PYX_ERR(0, 501, __pyx_L1_error);
    __pyx_t_1 = 0;
    __pyx_t_3 = 0;
    __pyx_v_midPt = ((PyObject*)__pyx_t_2);
    __pyx_t_2 = 0;

    /* "fontTools/misc/bezierTools.py":502
 *     if 0 <= t < 1:
 *         midPt = ax * t + bx, ay * t + by
 *         return [(pt1, midPt), (midPt, pt2)]             # <<<<<<<<<<<<<<
 *     else:
 *         return [(pt1, pt2)]
 */
    __Pyx_XDECREF(__pyx_r);
    __pyx_t_2 = PyTuple_New(2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 502, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_INCREF(__pyx_v_pt1);
    __Pyx_GIVEREF(__pyx_v_pt1);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_v_pt1)) __PYX_ERR(0, 502, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_midPt);
    __Pyx_GIVEREF(__pyx_v_midPt);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 1, __pyx_v_midPt)) __PYX_ERR(0, 502, __pyx_L1_error);
    __pyx_t_3 = PyTuple_New(2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 502, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_INCREF(__pyx_v_midPt);
    __Pyx_GIVEREF(__pyx_v_midPt);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_v_midPt)) __PYX_ERR(0, 502, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_pt2);
    __Pyx_GIVEREF(__pyx_v_pt2);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_v_pt2)) __PYX_ERR(0, 502, __pyx_L1_error);
    __pyx_t_1 = PyList_New(2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 502, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_GIVEREF(__pyx_t_2);
    if (__Pyx_PyList_SET_ITEM(__pyx_t_1, 0, __pyx_t_2)) __PYX_ERR(0, 502, __pyx_L1_error);
    __Pyx_GIVEREF(__pyx_t_3);
    if (__Pyx_PyList_SET_ITEM(__pyx_t_1, 1, __pyx_t_3)) __PYX_ERR(0, 502, __pyx_L1_error);
    __pyx_t_2 = 0;
    __pyx_t_3 = 0;
    __pyx_r = __pyx_t_1;
    __pyx_t_1 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":500
 *         return [(pt1, pt2)]
 *     t = (where - (bx, by)[isHorizontal]) / a
 *     if 0 <= t < 1:             # <<<<<<<<<<<<<<
 *         midPt = ax * t + bx, ay * t + by
 *         return [(pt1, midPt), (midPt, pt2)]
 */
  }

  /* "fontTools/misc/bezierTools.py":504
 *         return [(pt1, midPt), (midPt, pt2)]
 *     else:
 *         return [(pt1, pt2)]             # <<<<<<<<<<<<<<
 * 
 * 
 */
  /*else*/ {
    __Pyx_XDECREF(__pyx_r);
    __pyx_t_1 = PyTuple_New(2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 504, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_INCREF(__pyx_v_pt1);
    __Pyx_GIVEREF(__pyx_v_pt1);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_v_pt1)) __PYX_ERR(0, 504, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_pt2);
    __Pyx_GIVEREF(__pyx_v_pt2);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_v_pt2)) __PYX_ERR(0, 504, __pyx_L1_error);
    __pyx_t_3 = PyList_New(1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 504, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_GIVEREF(__pyx_t_1);
    if (__Pyx_PyList_SET_ITEM(__pyx_t_3, 0, __pyx_t_1)) __PYX_ERR(0, 504, __pyx_L1_error);
    __pyx_t_1 = 0;
    __pyx_r = __pyx_t_3;
    __pyx_t_3 = 0;
    goto __pyx_L0;
  }

  /* "fontTools/misc/bezierTools.py":450
 * 
 * 
 * def splitLine(pt1, pt2, where, isHorizontal):             # <<<<<<<<<<<<<<
 *     """Split a line at a given coordinate.
 * 
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.splitLine", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_pt1x);
  __Pyx_XDECREF(__pyx_v_pt1y);
  __Pyx_XDECREF(__pyx_v_pt2x);
  __Pyx_XDECREF(__pyx_v_pt2y);
  __Pyx_XDECREF(__pyx_v_ax);
  __Pyx_XDECREF(__pyx_v_ay);
  __Pyx_XDECREF(__pyx_v_bx);
  __Pyx_XDECREF(__pyx_v_by);
  __Pyx_XDECREF(__pyx_v_a);
  __Pyx_XDECREF(__pyx_v_t);
  __Pyx_XDECREF(__pyx_v_midPt);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":507
 * 
 * 
 * def splitQuadratic(pt1, pt2, pt3, where, isHorizontal):             # <<<<<<<<<<<<<<
 *     """Split a quadratic Bezier curve at a given coordinate.
 * 
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_27splitQuadratic(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_26splitQuadratic, "splitQuadratic(pt1, pt2, pt3, where, isHorizontal)\nSplit a quadratic Bezier curve at a given coordinate.\n\n    Args:\n        pt1,pt2,pt3: Control points of the Bezier as 2D tuples.\n        where: Position at which to split the curve.\n        isHorizontal: Direction of the ray splitting the curve. If true,\n            ``where`` is interpreted as a Y coordinate; if false, then\n            ``where`` is interpreted as an X coordinate.\n\n    Returns:\n        A list of two curve segments (each curve segment being three 2D tuples)\n        if the curve was successfully split, or a list containing the original\n        curve.\n\n    Example::\n\n        >>> printSegments(splitQuadratic((0, 0), (50, 100), (100, 0), 150, False))\n        ((0, 0), (50, 100), (100, 0))\n        >>> printSegments(splitQuadratic((0, 0), (50, 100), (100, 0), 50, False))\n        ((0, 0), (25, 50), (50, 50))\n        ((50, 50), (75, 50), (100, 0))\n        >>> printSegments(splitQuadratic((0, 0), (50, 100), (100, 0), 25, False))\n        ((0, 0), (12.5, 25), (25, 37.5))\n        ((25, 37.5), (62.5, 75), (100, 0))\n        >>> printSegments(splitQuadratic((0, 0), (50, 100), (100, 0), 25, True))\n        ((0, 0), (7.32233, 14.6447), (14.6447, 25))\n        ((14.6447, 25), (50, 75), (85.3553, 25))\n        ((85.3553, 25), (92.6777, 14.6447), (100, -7.10543e-15))\n        >>> # XXX I'm not at all sure if the following behavior is desirable:\n        >>> printSegments(splitQuadratic((0, 0), (50, 100), (100, 0), 50, True))\n        ((0, 0), (25, 50), (50, 50))\n        ((50, 50), (50, 50), (50, 50))\n        ((50, 50), (75, 50), (100, 0))\n    ");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_27splitQuadratic = {"splitQuadratic", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_27splitQuadratic, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_26splitQuadratic};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_27splitQuadratic(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_pt1 = 0;
  PyObject *__pyx_v_pt2 = 0;
  PyObject *__pyx_v_pt3 = 0;
  PyObject *__pyx_v_where = 0;
  PyObject *__pyx_v_isHorizontal = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[5] = {0,0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("splitQuadratic (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_pt1,&__pyx_n_s_pt2,&__pyx_n_s_pt3,&__pyx_n_s_where,&__pyx_n_s_isHorizontal,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  5: values[4] = __Pyx_Arg_FASTCALL(__pyx_args, 4);
        CYTHON_FALLTHROUGH;
        case  4: values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt1)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 507, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt2)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[1]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 507, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("splitQuadratic", 1, 5, 5, 1); __PYX_ERR(0, 507, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt3)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[2]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 507, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("splitQuadratic", 1, 5, 5, 2); __PYX_ERR(0, 507, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  3:
        if (likely((values[3] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_where)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[3]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 507, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("splitQuadratic", 1, 5, 5, 3); __PYX_ERR(0, 507, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  4:
        if (likely((values[4] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_isHorizontal)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[4]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 507, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("splitQuadratic", 1, 5, 5, 4); __PYX_ERR(0, 507, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "splitQuadratic") < 0)) __PYX_ERR(0, 507, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs != 5)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
      values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
      values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
      values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
      values[4] = __Pyx_Arg_FASTCALL(__pyx_args, 4);
    }
    __pyx_v_pt1 = values[0];
    __pyx_v_pt2 = values[1];
    __pyx_v_pt3 = values[2];
    __pyx_v_where = values[3];
    __pyx_v_isHorizontal = values[4];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("splitQuadratic", 1, 5, 5, __pyx_nargs); __PYX_ERR(0, 507, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.splitQuadratic", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_26splitQuadratic(__pyx_self, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3, __pyx_v_where, __pyx_v_isHorizontal);

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}
static PyObject *__pyx_gb_9fontTools_4misc_11bezierTools_14splitQuadratic_2generator2(__pyx_CoroutineObject *__pyx_generator, CYTHON_UNUSED PyThreadState *__pyx_tstate, PyObject *__pyx_sent_value); /* proto */

/* "fontTools/misc/bezierTools.py":546
 *         a[isHorizontal], b[isHorizontal], c[isHorizontal] - where
 *     )
 *     solutions = sorted(t for t in solutions if 0 <= t < 1)             # <<<<<<<<<<<<<<
 *     if not solutions:
 *         return [(pt1, pt2, pt3)]
 */

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_14splitQuadratic_genexpr(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_genexpr_arg_0) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr *__pyx_cur_scope;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("genexpr", 0);
  __pyx_cur_scope = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr *)__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr(__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr, __pyx_empty_tuple, NULL);
  if (unlikely(!__pyx_cur_scope)) {
    __pyx_cur_scope = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr *)Py_None);
    __Pyx_INCREF(Py_None);
    __PYX_ERR(0, 546, __pyx_L1_error)
  } else {
    __Pyx_GOTREF((PyObject *)__pyx_cur_scope);
  }
  __pyx_cur_scope->__pyx_genexpr_arg_0 = __pyx_genexpr_arg_0;
  __Pyx_INCREF(__pyx_cur_scope->__pyx_genexpr_arg_0);
  __Pyx_GIVEREF(__pyx_cur_scope->__pyx_genexpr_arg_0);
  {
    __pyx_CoroutineObject *gen = __Pyx_Generator_New((__pyx_coroutine_body_t) __pyx_gb_9fontTools_4misc_11bezierTools_14splitQuadratic_2generator2, NULL, (PyObject *) __pyx_cur_scope, __pyx_n_s_genexpr, __pyx_n_s_splitQuadratic_locals_genexpr, __pyx_n_s_fontTools_misc_bezierTools); if (unlikely(!gen)) __PYX_ERR(0, 546, __pyx_L1_error)
    __Pyx_DECREF(__pyx_cur_scope);
    __Pyx_RefNannyFinishContext();
    return (PyObject *) gen;
  }

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_AddTraceback("fontTools.misc.bezierTools.splitQuadratic.genexpr", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __Pyx_DECREF((PyObject *)__pyx_cur_scope);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_gb_9fontTools_4misc_11bezierTools_14splitQuadratic_2generator2(__pyx_CoroutineObject *__pyx_generator, CYTHON_UNUSED PyThreadState *__pyx_tstate, PyObject *__pyx_sent_value) /* generator body */
{
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr *__pyx_cur_scope = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr *)__pyx_generator->closure);
  PyObject *__pyx_r = NULL;
  PyObject *__pyx_t_1 = NULL;
  Py_ssize_t __pyx_t_2;
  PyObject *(*__pyx_t_3)(PyObject *);
  PyObject *__pyx_t_4 = NULL;
  int __pyx_t_5;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("genexpr", 0);
  switch (__pyx_generator->resume_label) {
    case 0: goto __pyx_L3_first_run;
    default: /* CPython raises the right error here */
    __Pyx_RefNannyFinishContext();
    return NULL;
  }
  __pyx_L3_first_run:;
  if (unlikely(!__pyx_sent_value)) __PYX_ERR(0, 546, __pyx_L1_error)
  __pyx_r = PyList_New(0); if (unlikely(!__pyx_r)) __PYX_ERR(0, 546, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_r);
  if (unlikely(!__pyx_cur_scope->__pyx_genexpr_arg_0)) { __Pyx_RaiseUnboundLocalError(".0"); __PYX_ERR(0, 546, __pyx_L1_error) }
  if (likely(PyList_CheckExact(__pyx_cur_scope->__pyx_genexpr_arg_0)) || PyTuple_CheckExact(__pyx_cur_scope->__pyx_genexpr_arg_0)) {
    __pyx_t_1 = __pyx_cur_scope->__pyx_genexpr_arg_0; __Pyx_INCREF(__pyx_t_1);
    __pyx_t_2 = 0;
    __pyx_t_3 = NULL;
  } else {
    __pyx_t_2 = -1; __pyx_t_1 = PyObject_GetIter(__pyx_cur_scope->__pyx_genexpr_arg_0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 546, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_3 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 546, __pyx_L1_error)
  }
  for (;;) {
    if (likely(!__pyx_t_3)) {
      if (likely(PyList_CheckExact(__pyx_t_1))) {
        {
          Py_ssize_t __pyx_temp = __Pyx_PyList_GET_SIZE(__pyx_t_1);
          #if !CYTHON_ASSUME_SAFE_MACROS
          if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 546, __pyx_L1_error)
          #endif
          if (__pyx_t_2 >= __pyx_temp) break;
        }
        #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
        __pyx_t_4 = PyList_GET_ITEM(__pyx_t_1, __pyx_t_2); __Pyx_INCREF(__pyx_t_4); __pyx_t_2++; if (unlikely((0 < 0))) __PYX_ERR(0, 546, __pyx_L1_error)
        #else
        __pyx_t_4 = __Pyx_PySequence_ITEM(__pyx_t_1, __pyx_t_2); __pyx_t_2++; if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 546, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_4);
        #endif
      } else {
        {
          Py_ssize_t __pyx_temp = __Pyx_PyTuple_GET_SIZE(__pyx_t_1);
          #if !CYTHON_ASSUME_SAFE_MACROS
          if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 546, __pyx_L1_error)
          #endif
          if (__pyx_t_2 >= __pyx_temp) break;
        }
        #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
        __pyx_t_4 = PyTuple_GET_ITEM(__pyx_t_1, __pyx_t_2); __Pyx_INCREF(__pyx_t_4); __pyx_t_2++; if (unlikely((0 < 0))) __PYX_ERR(0, 546, __pyx_L1_error)
        #else
        __pyx_t_4 = __Pyx_PySequence_ITEM(__pyx_t_1, __pyx_t_2); __pyx_t_2++; if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 546, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_4);
        #endif
      }
    } else {
      __pyx_t_4 = __pyx_t_3(__pyx_t_1);
      if (unlikely(!__pyx_t_4)) {
        PyObject* exc_type = PyErr_Occurred();
        if (exc_type) {
          if (likely(__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration))) PyErr_Clear();
          else __PYX_ERR(0, 546, __pyx_L1_error)
        }
        break;
      }
      __Pyx_GOTREF(__pyx_t_4);
    }
    __Pyx_XGOTREF(__pyx_cur_scope->__pyx_v_t);
    __Pyx_XDECREF_SET(__pyx_cur_scope->__pyx_v_t, __pyx_t_4);
    __Pyx_GIVEREF(__pyx_t_4);
    __pyx_t_4 = 0;
    __pyx_t_4 = PyObject_RichCompare(__pyx_int_0, __pyx_cur_scope->__pyx_v_t, Py_LE); __Pyx_XGOTREF(__pyx_t_4); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 546, __pyx_L1_error)
    if (__Pyx_PyObject_IsTrue(__pyx_t_4)) {
      __Pyx_DECREF(__pyx_t_4);
      __pyx_t_4 = PyObject_RichCompare(__pyx_cur_scope->__pyx_v_t, __pyx_int_1, Py_LT); __Pyx_XGOTREF(__pyx_t_4); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 546, __pyx_L1_error)
    }
    __pyx_t_5 = __Pyx_PyObject_IsTrue(__pyx_t_4); if (unlikely((__pyx_t_5 < 0))) __PYX_ERR(0, 546, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    if (__pyx_t_5) {
      if (unlikely(__Pyx_ListComp_Append(__pyx_r, (PyObject*)__pyx_cur_scope->__pyx_v_t))) __PYX_ERR(0, 546, __pyx_L1_error)
    }
  }
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  CYTHON_MAYBE_UNUSED_VAR(__pyx_cur_scope);

  /* function exit code */
  goto __pyx_L0;
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_r); __pyx_r = 0;
  __Pyx_Generator_Replace_StopIteration(0);
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_AddTraceback("genexpr", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  #if !CYTHON_USE_EXC_INFO_STACK
  __Pyx_Coroutine_ResetAndClearException(__pyx_generator);
  #endif
  __pyx_generator->resume_label = -1;
  __Pyx_Coroutine_clear((PyObject*)__pyx_generator);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":507
 * 
 * 
 * def splitQuadratic(pt1, pt2, pt3, where, isHorizontal):             # <<<<<<<<<<<<<<
 *     """Split a quadratic Bezier curve at a given coordinate.
 * 
 */

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_26splitQuadratic(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_where, PyObject *__pyx_v_isHorizontal) {
  PyObject *__pyx_v_a = NULL;
  PyObject *__pyx_v_b = NULL;
  PyObject *__pyx_v_c = NULL;
  PyObject *__pyx_v_solutions = NULL;
  PyObject *__pyx_gb_9fontTools_4misc_11bezierTools_14splitQuadratic_2generator2 = 0;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  int __pyx_t_4;
  PyObject *__pyx_t_5 = NULL;
  PyObject *__pyx_t_6 = NULL;
  PyObject *(*__pyx_t_7)(PyObject *);
  PyObject *__pyx_t_8 = NULL;
  int __pyx_t_9;
  int __pyx_t_10;
  int __pyx_t_11;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("splitQuadratic", 1);

  /* "fontTools/misc/bezierTools.py":542
 *         ((50, 50), (75, 50), (100, 0))
 *     """
 *     a, b, c = calcQuadraticParameters(pt1, pt2, pt3)             # <<<<<<<<<<<<<<
 *     solutions = solveQuadratic(
 *         a[isHorizontal], b[isHorizontal], c[isHorizontal] - where
 */
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_calcQuadraticParameters); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 542, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = NULL;
  __pyx_t_4 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_2))) {
    __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_2);
    if (likely(__pyx_t_3)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_2);
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_2, function);
      __pyx_t_4 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[4] = {__pyx_t_3, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3};
    __pyx_t_1 = __Pyx_PyObject_FastCall(__pyx_t_2, __pyx_callargs+1-__pyx_t_4, 3+__pyx_t_4);
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 542, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  }
  if ((likely(PyTuple_CheckExact(__pyx_t_1))) || (PyList_CheckExact(__pyx_t_1))) {
    PyObject* sequence = __pyx_t_1;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 3)) {
      if (size > 3) __Pyx_RaiseTooManyValuesError(3);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 542, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_3 = PyTuple_GET_ITEM(sequence, 1); 
      __pyx_t_5 = PyTuple_GET_ITEM(sequence, 2); 
    } else {
      __pyx_t_2 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_3 = PyList_GET_ITEM(sequence, 1); 
      __pyx_t_5 = PyList_GET_ITEM(sequence, 2); 
    }
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx_t_3);
    __Pyx_INCREF(__pyx_t_5);
    #else
    __pyx_t_2 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 542, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_3 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 542, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_5 = PySequence_ITEM(sequence, 2); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 542, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    #endif
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  } else {
    Py_ssize_t index = -1;
    __pyx_t_6 = PyObject_GetIter(__pyx_t_1); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 542, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_7 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_6);
    index = 0; __pyx_t_2 = __pyx_t_7(__pyx_t_6); if (unlikely(!__pyx_t_2)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    index = 1; __pyx_t_3 = __pyx_t_7(__pyx_t_6); if (unlikely(!__pyx_t_3)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_3);
    index = 2; __pyx_t_5 = __pyx_t_7(__pyx_t_6); if (unlikely(!__pyx_t_5)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_5);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_7(__pyx_t_6), 3) < 0) __PYX_ERR(0, 542, __pyx_L1_error)
    __pyx_t_7 = NULL;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    goto __pyx_L4_unpacking_done;
    __pyx_L3_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __pyx_t_7 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 542, __pyx_L1_error)
    __pyx_L4_unpacking_done:;
  }
  __pyx_v_a = __pyx_t_2;
  __pyx_t_2 = 0;
  __pyx_v_b = __pyx_t_3;
  __pyx_t_3 = 0;
  __pyx_v_c = __pyx_t_5;
  __pyx_t_5 = 0;

  /* "fontTools/misc/bezierTools.py":543
 *     """
 *     a, b, c = calcQuadraticParameters(pt1, pt2, pt3)
 *     solutions = solveQuadratic(             # <<<<<<<<<<<<<<
 *         a[isHorizontal], b[isHorizontal], c[isHorizontal] - where
 *     )
 */
  __Pyx_GetModuleGlobalName(__pyx_t_5, __pyx_n_s_solveQuadratic); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 543, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);

  /* "fontTools/misc/bezierTools.py":544
 *     a, b, c = calcQuadraticParameters(pt1, pt2, pt3)
 *     solutions = solveQuadratic(
 *         a[isHorizontal], b[isHorizontal], c[isHorizontal] - where             # <<<<<<<<<<<<<<
 *     )
 *     solutions = sorted(t for t in solutions if 0 <= t < 1)
 */
  __pyx_t_3 = __Pyx_PyObject_GetItem(__pyx_v_a, __pyx_v_isHorizontal); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 544, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_2 = __Pyx_PyObject_GetItem(__pyx_v_b, __pyx_v_isHorizontal); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 544, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_6 = __Pyx_PyObject_GetItem(__pyx_v_c, __pyx_v_isHorizontal); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 544, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __pyx_t_8 = PyNumber_Subtract(__pyx_t_6, __pyx_v_where); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 544, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_8);
  __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
  __pyx_t_6 = NULL;
  __pyx_t_4 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_5))) {
    __pyx_t_6 = PyMethod_GET_SELF(__pyx_t_5);
    if (likely(__pyx_t_6)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_5);
      __Pyx_INCREF(__pyx_t_6);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_5, function);
      __pyx_t_4 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[4] = {__pyx_t_6, __pyx_t_3, __pyx_t_2, __pyx_t_8};
    __pyx_t_1 = __Pyx_PyObject_FastCall(__pyx_t_5, __pyx_callargs+1-__pyx_t_4, 3+__pyx_t_4);
    __Pyx_XDECREF(__pyx_t_6); __pyx_t_6 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 543, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  }
  __pyx_v_solutions = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":546
 *         a[isHorizontal], b[isHorizontal], c[isHorizontal] - where
 *     )
 *     solutions = sorted(t for t in solutions if 0 <= t < 1)             # <<<<<<<<<<<<<<
 *     if not solutions:
 *         return [(pt1, pt2, pt3)]
 */
  __pyx_t_5 = __pyx_pf_9fontTools_4misc_11bezierTools_14splitQuadratic_genexpr(NULL, __pyx_v_solutions); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 546, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __pyx_t_8 = __Pyx_Generator_Next(__pyx_t_5); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 546, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_8);
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  __pyx_t_1 = ((PyObject*)__pyx_t_8);
  __pyx_t_8 = 0;
  __pyx_t_9 = PyList_Sort(__pyx_t_1); if (unlikely(__pyx_t_9 == ((int)-1))) __PYX_ERR(0, 546, __pyx_L1_error)
  __Pyx_DECREF_SET(__pyx_v_solutions, __pyx_t_1);
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":547
 *     )
 *     solutions = sorted(t for t in solutions if 0 <= t < 1)
 *     if not solutions:             # <<<<<<<<<<<<<<
 *         return [(pt1, pt2, pt3)]
 *     return _splitQuadraticAtT(a, b, c, *solutions)
 */
  __pyx_t_10 = __Pyx_PyObject_IsTrue(__pyx_v_solutions); if (unlikely((__pyx_t_10 < 0))) __PYX_ERR(0, 547, __pyx_L1_error)
  __pyx_t_11 = (!__pyx_t_10);
  if (__pyx_t_11) {

    /* "fontTools/misc/bezierTools.py":548
 *     solutions = sorted(t for t in solutions if 0 <= t < 1)
 *     if not solutions:
 *         return [(pt1, pt2, pt3)]             # <<<<<<<<<<<<<<
 *     return _splitQuadraticAtT(a, b, c, *solutions)
 * 
 */
    __Pyx_XDECREF(__pyx_r);
    __pyx_t_1 = PyTuple_New(3); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 548, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_INCREF(__pyx_v_pt1);
    __Pyx_GIVEREF(__pyx_v_pt1);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_v_pt1)) __PYX_ERR(0, 548, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_pt2);
    __Pyx_GIVEREF(__pyx_v_pt2);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_v_pt2)) __PYX_ERR(0, 548, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_pt3);
    __Pyx_GIVEREF(__pyx_v_pt3);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 2, __pyx_v_pt3)) __PYX_ERR(0, 548, __pyx_L1_error);
    __pyx_t_8 = PyList_New(1); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 548, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    __Pyx_GIVEREF(__pyx_t_1);
    if (__Pyx_PyList_SET_ITEM(__pyx_t_8, 0, __pyx_t_1)) __PYX_ERR(0, 548, __pyx_L1_error);
    __pyx_t_1 = 0;
    __pyx_r = __pyx_t_8;
    __pyx_t_8 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":547
 *     )
 *     solutions = sorted(t for t in solutions if 0 <= t < 1)
 *     if not solutions:             # <<<<<<<<<<<<<<
 *         return [(pt1, pt2, pt3)]
 *     return _splitQuadraticAtT(a, b, c, *solutions)
 */
  }

  /* "fontTools/misc/bezierTools.py":549
 *     if not solutions:
 *         return [(pt1, pt2, pt3)]
 *     return _splitQuadraticAtT(a, b, c, *solutions)             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __Pyx_XDECREF(__pyx_r);
  __Pyx_GetModuleGlobalName(__pyx_t_8, __pyx_n_s_splitQuadraticAtT); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 549, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_8);
  __pyx_t_1 = PyTuple_New(3); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 549, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_INCREF(__pyx_v_a);
  __Pyx_GIVEREF(__pyx_v_a);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_v_a)) __PYX_ERR(0, 549, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_b);
  __Pyx_GIVEREF(__pyx_v_b);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_v_b)) __PYX_ERR(0, 549, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_c);
  __Pyx_GIVEREF(__pyx_v_c);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 2, __pyx_v_c)) __PYX_ERR(0, 549, __pyx_L1_error);
  __pyx_t_5 = __Pyx_PySequence_Tuple(__pyx_v_solutions); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 549, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __pyx_t_2 = PyNumber_Add(__pyx_t_1, __pyx_t_5); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 549, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  __pyx_t_5 = __Pyx_PyObject_Call(__pyx_t_8, __pyx_t_2, NULL); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 549, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_r = __pyx_t_5;
  __pyx_t_5 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":507
 * 
 * 
 * def splitQuadratic(pt1, pt2, pt3, where, isHorizontal):             # <<<<<<<<<<<<<<
 *     """Split a quadratic Bezier curve at a given coordinate.
 * 
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_XDECREF(__pyx_t_8);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.splitQuadratic", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_a);
  __Pyx_XDECREF(__pyx_v_b);
  __Pyx_XDECREF(__pyx_v_c);
  __Pyx_XDECREF(__pyx_v_solutions);
  __Pyx_XDECREF(__pyx_gb_9fontTools_4misc_11bezierTools_14splitQuadratic_2generator2);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":552
 * 
 * 
 * def splitCubic(pt1, pt2, pt3, pt4, where, isHorizontal):             # <<<<<<<<<<<<<<
 *     """Split a cubic Bezier curve at a given coordinate.
 * 
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_29splitCubic(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_28splitCubic, "splitCubic(pt1, pt2, pt3, pt4, where, isHorizontal)\nSplit a cubic Bezier curve at a given coordinate.\n\n    Args:\n        pt1,pt2,pt3,pt4: Control points of the Bezier as 2D tuples.\n        where: Position at which to split the curve.\n        isHorizontal: Direction of the ray splitting the curve. If true,\n            ``where`` is interpreted as a Y coordinate; if false, then\n            ``where`` is interpreted as an X coordinate.\n\n    Returns:\n        A list of two curve segments (each curve segment being four 2D tuples)\n        if the curve was successfully split, or a list containing the original\n        curve.\n\n    Example::\n\n        >>> printSegments(splitCubic((0, 0), (25, 100), (75, 100), (100, 0), 150, False))\n        ((0, 0), (25, 100), (75, 100), (100, 0))\n        >>> printSegments(splitCubic((0, 0), (25, 100), (75, 100), (100, 0), 50, False))\n        ((0, 0), (12.5, 50), (31.25, 75), (50, 75))\n        ((50, 75), (68.75, 75), (87.5, 50), (100, 0))\n        >>> printSegments(splitCubic((0, 0), (25, 100), (75, 100), (100, 0), 25, True))\n        ((0, 0), (2.29379, 9.17517), (4.79804, 17.5085), (7.47414, 25))\n        ((7.47414, 25), (31.2886, 91.6667), (68.7114, 91.6667), (92.5259, 25))\n        ((92.5259, 25), (95.202, 17.5085), (97.7062, 9.17517), (100, 1.77636e-15))\n    ");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_29splitCubic = {"splitCubic", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_29splitCubic, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_28splitCubic};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_29splitCubic(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_pt1 = 0;
  PyObject *__pyx_v_pt2 = 0;
  PyObject *__pyx_v_pt3 = 0;
  PyObject *__pyx_v_pt4 = 0;
  PyObject *__pyx_v_where = 0;
  PyObject *__pyx_v_isHorizontal = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[6] = {0,0,0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("splitCubic (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_pt1,&__pyx_n_s_pt2,&__pyx_n_s_pt3,&__pyx_n_s_pt4,&__pyx_n_s_where,&__pyx_n_s_isHorizontal,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  6: values[5] = __Pyx_Arg_FASTCALL(__pyx_args, 5);
        CYTHON_FALLTHROUGH;
        case  5: values[4] = __Pyx_Arg_FASTCALL(__pyx_args, 4);
        CYTHON_FALLTHROUGH;
        case  4: values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt1)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 552, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt2)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[1]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 552, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("splitCubic", 1, 6, 6, 1); __PYX_ERR(0, 552, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt3)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[2]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 552, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("splitCubic", 1, 6, 6, 2); __PYX_ERR(0, 552, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  3:
        if (likely((values[3] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt4)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[3]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 552, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("splitCubic", 1, 6, 6, 3); __PYX_ERR(0, 552, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  4:
        if (likely((values[4] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_where)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[4]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 552, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("splitCubic", 1, 6, 6, 4); __PYX_ERR(0, 552, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  5:
        if (likely((values[5] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_isHorizontal)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[5]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 552, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("splitCubic", 1, 6, 6, 5); __PYX_ERR(0, 552, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "splitCubic") < 0)) __PYX_ERR(0, 552, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs != 6)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
      values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
      values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
      values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
      values[4] = __Pyx_Arg_FASTCALL(__pyx_args, 4);
      values[5] = __Pyx_Arg_FASTCALL(__pyx_args, 5);
    }
    __pyx_v_pt1 = values[0];
    __pyx_v_pt2 = values[1];
    __pyx_v_pt3 = values[2];
    __pyx_v_pt4 = values[3];
    __pyx_v_where = values[4];
    __pyx_v_isHorizontal = values[5];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("splitCubic", 1, 6, 6, __pyx_nargs); __PYX_ERR(0, 552, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.splitCubic", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_28splitCubic(__pyx_self, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3, __pyx_v_pt4, __pyx_v_where, __pyx_v_isHorizontal);

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}
static PyObject *__pyx_gb_9fontTools_4misc_11bezierTools_10splitCubic_2generator3(__pyx_CoroutineObject *__pyx_generator, CYTHON_UNUSED PyThreadState *__pyx_tstate, PyObject *__pyx_sent_value); /* proto */

/* "fontTools/misc/bezierTools.py":583
 *         a[isHorizontal], b[isHorizontal], c[isHorizontal], d[isHorizontal] - where
 *     )
 *     solutions = sorted(t for t in solutions if 0 <= t < 1)             # <<<<<<<<<<<<<<
 *     if not solutions:
 *         return [(pt1, pt2, pt3, pt4)]
 */

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_10splitCubic_genexpr(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_genexpr_arg_0) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr *__pyx_cur_scope;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("genexpr", 0);
  __pyx_cur_scope = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr *)__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr(__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr, __pyx_empty_tuple, NULL);
  if (unlikely(!__pyx_cur_scope)) {
    __pyx_cur_scope = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr *)Py_None);
    __Pyx_INCREF(Py_None);
    __PYX_ERR(0, 583, __pyx_L1_error)
  } else {
    __Pyx_GOTREF((PyObject *)__pyx_cur_scope);
  }
  __pyx_cur_scope->__pyx_genexpr_arg_0 = __pyx_genexpr_arg_0;
  __Pyx_INCREF(__pyx_cur_scope->__pyx_genexpr_arg_0);
  __Pyx_GIVEREF(__pyx_cur_scope->__pyx_genexpr_arg_0);
  {
    __pyx_CoroutineObject *gen = __Pyx_Generator_New((__pyx_coroutine_body_t) __pyx_gb_9fontTools_4misc_11bezierTools_10splitCubic_2generator3, NULL, (PyObject *) __pyx_cur_scope, __pyx_n_s_genexpr, __pyx_n_s_splitCubic_locals_genexpr, __pyx_n_s_fontTools_misc_bezierTools); if (unlikely(!gen)) __PYX_ERR(0, 583, __pyx_L1_error)
    __Pyx_DECREF(__pyx_cur_scope);
    __Pyx_RefNannyFinishContext();
    return (PyObject *) gen;
  }

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_AddTraceback("fontTools.misc.bezierTools.splitCubic.genexpr", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __Pyx_DECREF((PyObject *)__pyx_cur_scope);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_gb_9fontTools_4misc_11bezierTools_10splitCubic_2generator3(__pyx_CoroutineObject *__pyx_generator, CYTHON_UNUSED PyThreadState *__pyx_tstate, PyObject *__pyx_sent_value) /* generator body */
{
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr *__pyx_cur_scope = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr *)__pyx_generator->closure);
  PyObject *__pyx_r = NULL;
  PyObject *__pyx_t_1 = NULL;
  Py_ssize_t __pyx_t_2;
  PyObject *(*__pyx_t_3)(PyObject *);
  PyObject *__pyx_t_4 = NULL;
  int __pyx_t_5;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("genexpr", 0);
  switch (__pyx_generator->resume_label) {
    case 0: goto __pyx_L3_first_run;
    default: /* CPython raises the right error here */
    __Pyx_RefNannyFinishContext();
    return NULL;
  }
  __pyx_L3_first_run:;
  if (unlikely(!__pyx_sent_value)) __PYX_ERR(0, 583, __pyx_L1_error)
  __pyx_r = PyList_New(0); if (unlikely(!__pyx_r)) __PYX_ERR(0, 583, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_r);
  if (unlikely(!__pyx_cur_scope->__pyx_genexpr_arg_0)) { __Pyx_RaiseUnboundLocalError(".0"); __PYX_ERR(0, 583, __pyx_L1_error) }
  if (likely(PyList_CheckExact(__pyx_cur_scope->__pyx_genexpr_arg_0)) || PyTuple_CheckExact(__pyx_cur_scope->__pyx_genexpr_arg_0)) {
    __pyx_t_1 = __pyx_cur_scope->__pyx_genexpr_arg_0; __Pyx_INCREF(__pyx_t_1);
    __pyx_t_2 = 0;
    __pyx_t_3 = NULL;
  } else {
    __pyx_t_2 = -1; __pyx_t_1 = PyObject_GetIter(__pyx_cur_scope->__pyx_genexpr_arg_0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 583, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_3 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 583, __pyx_L1_error)
  }
  for (;;) {
    if (likely(!__pyx_t_3)) {
      if (likely(PyList_CheckExact(__pyx_t_1))) {
        {
          Py_ssize_t __pyx_temp = __Pyx_PyList_GET_SIZE(__pyx_t_1);
          #if !CYTHON_ASSUME_SAFE_MACROS
          if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 583, __pyx_L1_error)
          #endif
          if (__pyx_t_2 >= __pyx_temp) break;
        }
        #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
        __pyx_t_4 = PyList_GET_ITEM(__pyx_t_1, __pyx_t_2); __Pyx_INCREF(__pyx_t_4); __pyx_t_2++; if (unlikely((0 < 0))) __PYX_ERR(0, 583, __pyx_L1_error)
        #else
        __pyx_t_4 = __Pyx_PySequence_ITEM(__pyx_t_1, __pyx_t_2); __pyx_t_2++; if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 583, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_4);
        #endif
      } else {
        {
          Py_ssize_t __pyx_temp = __Pyx_PyTuple_GET_SIZE(__pyx_t_1);
          #if !CYTHON_ASSUME_SAFE_MACROS
          if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 583, __pyx_L1_error)
          #endif
          if (__pyx_t_2 >= __pyx_temp) break;
        }
        #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
        __pyx_t_4 = PyTuple_GET_ITEM(__pyx_t_1, __pyx_t_2); __Pyx_INCREF(__pyx_t_4); __pyx_t_2++; if (unlikely((0 < 0))) __PYX_ERR(0, 583, __pyx_L1_error)
        #else
        __pyx_t_4 = __Pyx_PySequence_ITEM(__pyx_t_1, __pyx_t_2); __pyx_t_2++; if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 583, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_4);
        #endif
      }
    } else {
      __pyx_t_4 = __pyx_t_3(__pyx_t_1);
      if (unlikely(!__pyx_t_4)) {
        PyObject* exc_type = PyErr_Occurred();
        if (exc_type) {
          if (likely(__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration))) PyErr_Clear();
          else __PYX_ERR(0, 583, __pyx_L1_error)
        }
        break;
      }
      __Pyx_GOTREF(__pyx_t_4);
    }
    __Pyx_XGOTREF(__pyx_cur_scope->__pyx_v_t);
    __Pyx_XDECREF_SET(__pyx_cur_scope->__pyx_v_t, __pyx_t_4);
    __Pyx_GIVEREF(__pyx_t_4);
    __pyx_t_4 = 0;
    __pyx_t_4 = PyObject_RichCompare(__pyx_int_0, __pyx_cur_scope->__pyx_v_t, Py_LE); __Pyx_XGOTREF(__pyx_t_4); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 583, __pyx_L1_error)
    if (__Pyx_PyObject_IsTrue(__pyx_t_4)) {
      __Pyx_DECREF(__pyx_t_4);
      __pyx_t_4 = PyObject_RichCompare(__pyx_cur_scope->__pyx_v_t, __pyx_int_1, Py_LT); __Pyx_XGOTREF(__pyx_t_4); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 583, __pyx_L1_error)
    }
    __pyx_t_5 = __Pyx_PyObject_IsTrue(__pyx_t_4); if (unlikely((__pyx_t_5 < 0))) __PYX_ERR(0, 583, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    if (__pyx_t_5) {
      if (unlikely(__Pyx_ListComp_Append(__pyx_r, (PyObject*)__pyx_cur_scope->__pyx_v_t))) __PYX_ERR(0, 583, __pyx_L1_error)
    }
  }
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  CYTHON_MAYBE_UNUSED_VAR(__pyx_cur_scope);

  /* function exit code */
  goto __pyx_L0;
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_r); __pyx_r = 0;
  __Pyx_Generator_Replace_StopIteration(0);
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_AddTraceback("genexpr", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  #if !CYTHON_USE_EXC_INFO_STACK
  __Pyx_Coroutine_ResetAndClearException(__pyx_generator);
  #endif
  __pyx_generator->resume_label = -1;
  __Pyx_Coroutine_clear((PyObject*)__pyx_generator);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":552
 * 
 * 
 * def splitCubic(pt1, pt2, pt3, pt4, where, isHorizontal):             # <<<<<<<<<<<<<<
 *     """Split a cubic Bezier curve at a given coordinate.
 * 
 */

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_28splitCubic(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_pt4, PyObject *__pyx_v_where, PyObject *__pyx_v_isHorizontal) {
  PyObject *__pyx_v_a = NULL;
  PyObject *__pyx_v_b = NULL;
  PyObject *__pyx_v_c = NULL;
  PyObject *__pyx_v_d = NULL;
  PyObject *__pyx_v_solutions = NULL;
  PyObject *__pyx_gb_9fontTools_4misc_11bezierTools_10splitCubic_2generator3 = 0;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  int __pyx_t_4;
  PyObject *__pyx_t_5 = NULL;
  PyObject *__pyx_t_6 = NULL;
  PyObject *__pyx_t_7 = NULL;
  PyObject *(*__pyx_t_8)(PyObject *);
  PyObject *__pyx_t_9 = NULL;
  int __pyx_t_10;
  int __pyx_t_11;
  int __pyx_t_12;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("splitCubic", 1);

  /* "fontTools/misc/bezierTools.py":579
 *         ((92.5259, 25), (95.202, 17.5085), (97.7062, 9.17517), (100, 1.77636e-15))
 *     """
 *     a, b, c, d = calcCubicParameters(pt1, pt2, pt3, pt4)             # <<<<<<<<<<<<<<
 *     solutions = solveCubic(
 *         a[isHorizontal], b[isHorizontal], c[isHorizontal], d[isHorizontal] - where
 */
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_calcCubicParameters); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 579, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = NULL;
  __pyx_t_4 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_2))) {
    __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_2);
    if (likely(__pyx_t_3)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_2);
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_2, function);
      __pyx_t_4 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[5] = {__pyx_t_3, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3, __pyx_v_pt4};
    __pyx_t_1 = __Pyx_PyObject_FastCall(__pyx_t_2, __pyx_callargs+1-__pyx_t_4, 4+__pyx_t_4);
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 579, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  }
  if ((likely(PyTuple_CheckExact(__pyx_t_1))) || (PyList_CheckExact(__pyx_t_1))) {
    PyObject* sequence = __pyx_t_1;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 4)) {
      if (size > 4) __Pyx_RaiseTooManyValuesError(4);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 579, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_3 = PyTuple_GET_ITEM(sequence, 1); 
      __pyx_t_5 = PyTuple_GET_ITEM(sequence, 2); 
      __pyx_t_6 = PyTuple_GET_ITEM(sequence, 3); 
    } else {
      __pyx_t_2 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_3 = PyList_GET_ITEM(sequence, 1); 
      __pyx_t_5 = PyList_GET_ITEM(sequence, 2); 
      __pyx_t_6 = PyList_GET_ITEM(sequence, 3); 
    }
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx_t_3);
    __Pyx_INCREF(__pyx_t_5);
    __Pyx_INCREF(__pyx_t_6);
    #else
    {
      Py_ssize_t i;
      PyObject** temps[4] = {&__pyx_t_2,&__pyx_t_3,&__pyx_t_5,&__pyx_t_6};
      for (i=0; i < 4; i++) {
        PyObject* item = PySequence_ITEM(sequence, i); if (unlikely(!item)) __PYX_ERR(0, 579, __pyx_L1_error)
        __Pyx_GOTREF(item);
        *(temps[i]) = item;
      }
    }
    #endif
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  } else {
    Py_ssize_t index = -1;
    PyObject** temps[4] = {&__pyx_t_2,&__pyx_t_3,&__pyx_t_5,&__pyx_t_6};
    __pyx_t_7 = PyObject_GetIter(__pyx_t_1); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 579, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_8 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_7);
    for (index=0; index < 4; index++) {
      PyObject* item = __pyx_t_8(__pyx_t_7); if (unlikely(!item)) goto __pyx_L3_unpacking_failed;
      __Pyx_GOTREF(item);
      *(temps[index]) = item;
    }
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_8(__pyx_t_7), 4) < 0) __PYX_ERR(0, 579, __pyx_L1_error)
    __pyx_t_8 = NULL;
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    goto __pyx_L4_unpacking_done;
    __pyx_L3_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    __pyx_t_8 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 579, __pyx_L1_error)
    __pyx_L4_unpacking_done:;
  }
  __pyx_v_a = __pyx_t_2;
  __pyx_t_2 = 0;
  __pyx_v_b = __pyx_t_3;
  __pyx_t_3 = 0;
  __pyx_v_c = __pyx_t_5;
  __pyx_t_5 = 0;
  __pyx_v_d = __pyx_t_6;
  __pyx_t_6 = 0;

  /* "fontTools/misc/bezierTools.py":580
 *     """
 *     a, b, c, d = calcCubicParameters(pt1, pt2, pt3, pt4)
 *     solutions = solveCubic(             # <<<<<<<<<<<<<<
 *         a[isHorizontal], b[isHorizontal], c[isHorizontal], d[isHorizontal] - where
 *     )
 */
  __Pyx_GetModuleGlobalName(__pyx_t_6, __pyx_n_s_solveCubic); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 580, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);

  /* "fontTools/misc/bezierTools.py":581
 *     a, b, c, d = calcCubicParameters(pt1, pt2, pt3, pt4)
 *     solutions = solveCubic(
 *         a[isHorizontal], b[isHorizontal], c[isHorizontal], d[isHorizontal] - where             # <<<<<<<<<<<<<<
 *     )
 *     solutions = sorted(t for t in solutions if 0 <= t < 1)
 */
  __pyx_t_5 = __Pyx_PyObject_GetItem(__pyx_v_a, __pyx_v_isHorizontal); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 581, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __pyx_t_3 = __Pyx_PyObject_GetItem(__pyx_v_b, __pyx_v_isHorizontal); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 581, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_2 = __Pyx_PyObject_GetItem(__pyx_v_c, __pyx_v_isHorizontal); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 581, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_7 = __Pyx_PyObject_GetItem(__pyx_v_d, __pyx_v_isHorizontal); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 581, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_7);
  __pyx_t_9 = PyNumber_Subtract(__pyx_t_7, __pyx_v_where); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 581, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_9);
  __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
  __pyx_t_7 = NULL;
  __pyx_t_4 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_6))) {
    __pyx_t_7 = PyMethod_GET_SELF(__pyx_t_6);
    if (likely(__pyx_t_7)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_6);
      __Pyx_INCREF(__pyx_t_7);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_6, function);
      __pyx_t_4 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[5] = {__pyx_t_7, __pyx_t_5, __pyx_t_3, __pyx_t_2, __pyx_t_9};
    __pyx_t_1 = __Pyx_PyObject_FastCall(__pyx_t_6, __pyx_callargs+1-__pyx_t_4, 4+__pyx_t_4);
    __Pyx_XDECREF(__pyx_t_7); __pyx_t_7 = 0;
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 580, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
  }
  __pyx_v_solutions = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":583
 *         a[isHorizontal], b[isHorizontal], c[isHorizontal], d[isHorizontal] - where
 *     )
 *     solutions = sorted(t for t in solutions if 0 <= t < 1)             # <<<<<<<<<<<<<<
 *     if not solutions:
 *         return [(pt1, pt2, pt3, pt4)]
 */
  __pyx_t_6 = __pyx_pf_9fontTools_4misc_11bezierTools_10splitCubic_genexpr(NULL, __pyx_v_solutions); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 583, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __pyx_t_9 = __Pyx_Generator_Next(__pyx_t_6); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 583, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_9);
  __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
  __pyx_t_1 = ((PyObject*)__pyx_t_9);
  __pyx_t_9 = 0;
  __pyx_t_10 = PyList_Sort(__pyx_t_1); if (unlikely(__pyx_t_10 == ((int)-1))) __PYX_ERR(0, 583, __pyx_L1_error)
  __Pyx_DECREF_SET(__pyx_v_solutions, __pyx_t_1);
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":584
 *     )
 *     solutions = sorted(t for t in solutions if 0 <= t < 1)
 *     if not solutions:             # <<<<<<<<<<<<<<
 *         return [(pt1, pt2, pt3, pt4)]
 *     return _splitCubicAtT(a, b, c, d, *solutions)
 */
  __pyx_t_11 = __Pyx_PyObject_IsTrue(__pyx_v_solutions); if (unlikely((__pyx_t_11 < 0))) __PYX_ERR(0, 584, __pyx_L1_error)
  __pyx_t_12 = (!__pyx_t_11);
  if (__pyx_t_12) {

    /* "fontTools/misc/bezierTools.py":585
 *     solutions = sorted(t for t in solutions if 0 <= t < 1)
 *     if not solutions:
 *         return [(pt1, pt2, pt3, pt4)]             # <<<<<<<<<<<<<<
 *     return _splitCubicAtT(a, b, c, d, *solutions)
 * 
 */
    __Pyx_XDECREF(__pyx_r);
    __pyx_t_1 = PyTuple_New(4); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 585, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_INCREF(__pyx_v_pt1);
    __Pyx_GIVEREF(__pyx_v_pt1);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_v_pt1)) __PYX_ERR(0, 585, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_pt2);
    __Pyx_GIVEREF(__pyx_v_pt2);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_v_pt2)) __PYX_ERR(0, 585, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_pt3);
    __Pyx_GIVEREF(__pyx_v_pt3);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 2, __pyx_v_pt3)) __PYX_ERR(0, 585, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_pt4);
    __Pyx_GIVEREF(__pyx_v_pt4);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 3, __pyx_v_pt4)) __PYX_ERR(0, 585, __pyx_L1_error);
    __pyx_t_9 = PyList_New(1); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 585, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_9);
    __Pyx_GIVEREF(__pyx_t_1);
    if (__Pyx_PyList_SET_ITEM(__pyx_t_9, 0, __pyx_t_1)) __PYX_ERR(0, 585, __pyx_L1_error);
    __pyx_t_1 = 0;
    __pyx_r = __pyx_t_9;
    __pyx_t_9 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":584
 *     )
 *     solutions = sorted(t for t in solutions if 0 <= t < 1)
 *     if not solutions:             # <<<<<<<<<<<<<<
 *         return [(pt1, pt2, pt3, pt4)]
 *     return _splitCubicAtT(a, b, c, d, *solutions)
 */
  }

  /* "fontTools/misc/bezierTools.py":586
 *     if not solutions:
 *         return [(pt1, pt2, pt3, pt4)]
 *     return _splitCubicAtT(a, b, c, d, *solutions)             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __Pyx_XDECREF(__pyx_r);
  __Pyx_GetModuleGlobalName(__pyx_t_9, __pyx_n_s_splitCubicAtT); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 586, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_9);
  __pyx_t_1 = PyTuple_New(4); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 586, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_INCREF(__pyx_v_a);
  __Pyx_GIVEREF(__pyx_v_a);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_v_a)) __PYX_ERR(0, 586, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_b);
  __Pyx_GIVEREF(__pyx_v_b);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_v_b)) __PYX_ERR(0, 586, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_c);
  __Pyx_GIVEREF(__pyx_v_c);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 2, __pyx_v_c)) __PYX_ERR(0, 586, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_d);
  __Pyx_GIVEREF(__pyx_v_d);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 3, __pyx_v_d)) __PYX_ERR(0, 586, __pyx_L1_error);
  __pyx_t_6 = __Pyx_PySequence_Tuple(__pyx_v_solutions); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 586, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __pyx_t_2 = PyNumber_Add(__pyx_t_1, __pyx_t_6); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 586, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
  __pyx_t_6 = __Pyx_PyObject_Call(__pyx_t_9, __pyx_t_2, NULL); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 586, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_r = __pyx_t_6;
  __pyx_t_6 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":552
 * 
 * 
 * def splitCubic(pt1, pt2, pt3, pt4, where, isHorizontal):             # <<<<<<<<<<<<<<
 *     """Split a cubic Bezier curve at a given coordinate.
 * 
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_XDECREF(__pyx_t_7);
  __Pyx_XDECREF(__pyx_t_9);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.splitCubic", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_a);
  __Pyx_XDECREF(__pyx_v_b);
  __Pyx_XDECREF(__pyx_v_c);
  __Pyx_XDECREF(__pyx_v_d);
  __Pyx_XDECREF(__pyx_v_solutions);
  __Pyx_XDECREF(__pyx_gb_9fontTools_4misc_11bezierTools_10splitCubic_2generator3);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":589
 * 
 * 
 * def splitQuadraticAtT(pt1, pt2, pt3, *ts):             # <<<<<<<<<<<<<<
 *     """Split a quadratic Bezier curve at one or more values of t.
 * 
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_31splitQuadraticAtT(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_30splitQuadraticAtT, "splitQuadraticAtT(pt1, pt2, pt3, *ts)\nSplit a quadratic Bezier curve at one or more values of t.\n\n    Args:\n        pt1,pt2,pt3: Control points of the Bezier as 2D tuples.\n        *ts: Positions at which to split the curve.\n\n    Returns:\n        A list of curve segments (each curve segment being three 2D tuples).\n\n    Examples::\n\n        >>> printSegments(splitQuadraticAtT((0, 0), (50, 100), (100, 0), 0.5))\n        ((0, 0), (25, 50), (50, 50))\n        ((50, 50), (75, 50), (100, 0))\n        >>> printSegments(splitQuadraticAtT((0, 0), (50, 100), (100, 0), 0.5, 0.75))\n        ((0, 0), (25, 50), (50, 50))\n        ((50, 50), (62.5, 50), (75, 37.5))\n        ((75, 37.5), (87.5, 25), (100, 0))\n    ");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_31splitQuadraticAtT = {"splitQuadraticAtT", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_31splitQuadraticAtT, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_30splitQuadraticAtT};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_31splitQuadraticAtT(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_pt1 = 0;
  PyObject *__pyx_v_pt2 = 0;
  PyObject *__pyx_v_pt3 = 0;
  PyObject *__pyx_v_ts = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[3] = {0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("splitQuadraticAtT (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  __pyx_v_ts = __Pyx_ArgsSlice_FASTCALL(__pyx_args, 3, __pyx_nargs);
  if (unlikely(!__pyx_v_ts)) {
    __Pyx_RefNannyFinishContext();
    return NULL;
  }
  __Pyx_GOTREF(__pyx_v_ts);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_pt1,&__pyx_n_s_pt2,&__pyx_n_s_pt3,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        default:
        case  3: values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt1)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 589, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt2)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[1]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 589, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("splitQuadraticAtT", 0, 3, 3, 1); __PYX_ERR(0, 589, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt3)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[2]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 589, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("splitQuadraticAtT", 0, 3, 3, 2); __PYX_ERR(0, 589, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        const Py_ssize_t used_pos_args = (kwd_pos_args < 3) ? kwd_pos_args : 3;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, used_pos_args, "splitQuadraticAtT") < 0)) __PYX_ERR(0, 589, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs < 3)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
      values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
      values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
    }
    __pyx_v_pt1 = values[0];
    __pyx_v_pt2 = values[1];
    __pyx_v_pt3 = values[2];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("splitQuadraticAtT", 0, 3, 3, __pyx_nargs); __PYX_ERR(0, 589, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_DECREF(__pyx_v_ts); __pyx_v_ts = 0;
  __Pyx_AddTraceback("fontTools.misc.bezierTools.splitQuadraticAtT", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_30splitQuadraticAtT(__pyx_self, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3, __pyx_v_ts);

  /* function exit code */
  __Pyx_DECREF(__pyx_v_ts);
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_30splitQuadraticAtT(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_ts) {
  PyObject *__pyx_v_a = NULL;
  PyObject *__pyx_v_b = NULL;
  PyObject *__pyx_v_c = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  int __pyx_t_4;
  PyObject *__pyx_t_5 = NULL;
  PyObject *__pyx_t_6 = NULL;
  PyObject *(*__pyx_t_7)(PyObject *);
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("splitQuadraticAtT", 1);

  /* "fontTools/misc/bezierTools.py":609
 *         ((75, 37.5), (87.5, 25), (100, 0))
 *     """
 *     a, b, c = calcQuadraticParameters(pt1, pt2, pt3)             # <<<<<<<<<<<<<<
 *     return _splitQuadraticAtT(a, b, c, *ts)
 * 
 */
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_calcQuadraticParameters); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 609, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = NULL;
  __pyx_t_4 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_2))) {
    __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_2);
    if (likely(__pyx_t_3)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_2);
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_2, function);
      __pyx_t_4 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[4] = {__pyx_t_3, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3};
    __pyx_t_1 = __Pyx_PyObject_FastCall(__pyx_t_2, __pyx_callargs+1-__pyx_t_4, 3+__pyx_t_4);
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 609, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  }
  if ((likely(PyTuple_CheckExact(__pyx_t_1))) || (PyList_CheckExact(__pyx_t_1))) {
    PyObject* sequence = __pyx_t_1;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 3)) {
      if (size > 3) __Pyx_RaiseTooManyValuesError(3);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 609, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_3 = PyTuple_GET_ITEM(sequence, 1); 
      __pyx_t_5 = PyTuple_GET_ITEM(sequence, 2); 
    } else {
      __pyx_t_2 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_3 = PyList_GET_ITEM(sequence, 1); 
      __pyx_t_5 = PyList_GET_ITEM(sequence, 2); 
    }
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx_t_3);
    __Pyx_INCREF(__pyx_t_5);
    #else
    __pyx_t_2 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 609, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_3 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 609, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_5 = PySequence_ITEM(sequence, 2); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 609, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    #endif
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  } else {
    Py_ssize_t index = -1;
    __pyx_t_6 = PyObject_GetIter(__pyx_t_1); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 609, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_7 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_6);
    index = 0; __pyx_t_2 = __pyx_t_7(__pyx_t_6); if (unlikely(!__pyx_t_2)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    index = 1; __pyx_t_3 = __pyx_t_7(__pyx_t_6); if (unlikely(!__pyx_t_3)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_3);
    index = 2; __pyx_t_5 = __pyx_t_7(__pyx_t_6); if (unlikely(!__pyx_t_5)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_5);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_7(__pyx_t_6), 3) < 0) __PYX_ERR(0, 609, __pyx_L1_error)
    __pyx_t_7 = NULL;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    goto __pyx_L4_unpacking_done;
    __pyx_L3_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __pyx_t_7 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 609, __pyx_L1_error)
    __pyx_L4_unpacking_done:;
  }
  __pyx_v_a = __pyx_t_2;
  __pyx_t_2 = 0;
  __pyx_v_b = __pyx_t_3;
  __pyx_t_3 = 0;
  __pyx_v_c = __pyx_t_5;
  __pyx_t_5 = 0;

  /* "fontTools/misc/bezierTools.py":610
 *     """
 *     a, b, c = calcQuadraticParameters(pt1, pt2, pt3)
 *     return _splitQuadraticAtT(a, b, c, *ts)             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __Pyx_XDECREF(__pyx_r);
  __Pyx_GetModuleGlobalName(__pyx_t_1, __pyx_n_s_splitQuadraticAtT); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 610, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_5 = PyTuple_New(3); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 610, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_INCREF(__pyx_v_a);
  __Pyx_GIVEREF(__pyx_v_a);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_v_a)) __PYX_ERR(0, 610, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_b);
  __Pyx_GIVEREF(__pyx_v_b);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 1, __pyx_v_b)) __PYX_ERR(0, 610, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_c);
  __Pyx_GIVEREF(__pyx_v_c);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 2, __pyx_v_c)) __PYX_ERR(0, 610, __pyx_L1_error);
  __pyx_t_3 = PyNumber_Add(__pyx_t_5, __pyx_v_ts); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 610, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  __pyx_t_5 = __Pyx_PyObject_Call(__pyx_t_1, __pyx_t_3, NULL); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 610, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_r = __pyx_t_5;
  __pyx_t_5 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":589
 * 
 * 
 * def splitQuadraticAtT(pt1, pt2, pt3, *ts):             # <<<<<<<<<<<<<<
 *     """Split a quadratic Bezier curve at one or more values of t.
 * 
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.splitQuadraticAtT", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_a);
  __Pyx_XDECREF(__pyx_v_b);
  __Pyx_XDECREF(__pyx_v_c);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":613
 * 
 * 
 * def splitCubicAtT(pt1, pt2, pt3, pt4, *ts):             # <<<<<<<<<<<<<<
 *     """Split a cubic Bezier curve at one or more values of t.
 * 
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_33splitCubicAtT(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_32splitCubicAtT, "splitCubicAtT(pt1, pt2, pt3, pt4, *ts)\nSplit a cubic Bezier curve at one or more values of t.\n\n    Args:\n        pt1,pt2,pt3,pt4: Control points of the Bezier as 2D tuples.\n        *ts: Positions at which to split the curve.\n\n    Returns:\n        A list of curve segments (each curve segment being four 2D tuples).\n\n    Examples::\n\n        >>> printSegments(splitCubicAtT((0, 0), (25, 100), (75, 100), (100, 0), 0.5))\n        ((0, 0), (12.5, 50), (31.25, 75), (50, 75))\n        ((50, 75), (68.75, 75), (87.5, 50), (100, 0))\n        >>> printSegments(splitCubicAtT((0, 0), (25, 100), (75, 100), (100, 0), 0.5, 0.75))\n        ((0, 0), (12.5, 50), (31.25, 75), (50, 75))\n        ((50, 75), (59.375, 75), (68.75, 68.75), (77.3438, 56.25))\n        ((77.3438, 56.25), (85.9375, 43.75), (93.75, 25), (100, 0))\n    ");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_33splitCubicAtT = {"splitCubicAtT", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_33splitCubicAtT, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_32splitCubicAtT};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_33splitCubicAtT(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_pt1 = 0;
  PyObject *__pyx_v_pt2 = 0;
  PyObject *__pyx_v_pt3 = 0;
  PyObject *__pyx_v_pt4 = 0;
  PyObject *__pyx_v_ts = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[4] = {0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("splitCubicAtT (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  __pyx_v_ts = __Pyx_ArgsSlice_FASTCALL(__pyx_args, 4, __pyx_nargs);
  if (unlikely(!__pyx_v_ts)) {
    __Pyx_RefNannyFinishContext();
    return NULL;
  }
  __Pyx_GOTREF(__pyx_v_ts);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_pt1,&__pyx_n_s_pt2,&__pyx_n_s_pt3,&__pyx_n_s_pt4,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        default:
        case  4: values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt1)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 613, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt2)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[1]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 613, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("splitCubicAtT", 0, 4, 4, 1); __PYX_ERR(0, 613, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt3)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[2]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 613, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("splitCubicAtT", 0, 4, 4, 2); __PYX_ERR(0, 613, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  3:
        if (likely((values[3] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt4)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[3]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 613, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("splitCubicAtT", 0, 4, 4, 3); __PYX_ERR(0, 613, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        const Py_ssize_t used_pos_args = (kwd_pos_args < 4) ? kwd_pos_args : 4;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, used_pos_args, "splitCubicAtT") < 0)) __PYX_ERR(0, 613, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs < 4)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
      values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
      values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
      values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
    }
    __pyx_v_pt1 = values[0];
    __pyx_v_pt2 = values[1];
    __pyx_v_pt3 = values[2];
    __pyx_v_pt4 = values[3];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("splitCubicAtT", 0, 4, 4, __pyx_nargs); __PYX_ERR(0, 613, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_DECREF(__pyx_v_ts); __pyx_v_ts = 0;
  __Pyx_AddTraceback("fontTools.misc.bezierTools.splitCubicAtT", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_32splitCubicAtT(__pyx_self, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3, __pyx_v_pt4, __pyx_v_ts);

  /* function exit code */
  __Pyx_DECREF(__pyx_v_ts);
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_32splitCubicAtT(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_pt4, PyObject *__pyx_v_ts) {
  PyObject *__pyx_v_a = NULL;
  PyObject *__pyx_v_b = NULL;
  PyObject *__pyx_v_c = NULL;
  PyObject *__pyx_v_d = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  int __pyx_t_4;
  PyObject *__pyx_t_5 = NULL;
  PyObject *__pyx_t_6 = NULL;
  PyObject *__pyx_t_7 = NULL;
  PyObject *(*__pyx_t_8)(PyObject *);
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("splitCubicAtT", 1);

  /* "fontTools/misc/bezierTools.py":633
 *         ((77.3438, 56.25), (85.9375, 43.75), (93.75, 25), (100, 0))
 *     """
 *     a, b, c, d = calcCubicParameters(pt1, pt2, pt3, pt4)             # <<<<<<<<<<<<<<
 *     return _splitCubicAtT(a, b, c, d, *ts)
 * 
 */
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_calcCubicParameters); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 633, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = NULL;
  __pyx_t_4 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_2))) {
    __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_2);
    if (likely(__pyx_t_3)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_2);
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_2, function);
      __pyx_t_4 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[5] = {__pyx_t_3, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3, __pyx_v_pt4};
    __pyx_t_1 = __Pyx_PyObject_FastCall(__pyx_t_2, __pyx_callargs+1-__pyx_t_4, 4+__pyx_t_4);
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 633, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  }
  if ((likely(PyTuple_CheckExact(__pyx_t_1))) || (PyList_CheckExact(__pyx_t_1))) {
    PyObject* sequence = __pyx_t_1;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 4)) {
      if (size > 4) __Pyx_RaiseTooManyValuesError(4);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 633, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_3 = PyTuple_GET_ITEM(sequence, 1); 
      __pyx_t_5 = PyTuple_GET_ITEM(sequence, 2); 
      __pyx_t_6 = PyTuple_GET_ITEM(sequence, 3); 
    } else {
      __pyx_t_2 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_3 = PyList_GET_ITEM(sequence, 1); 
      __pyx_t_5 = PyList_GET_ITEM(sequence, 2); 
      __pyx_t_6 = PyList_GET_ITEM(sequence, 3); 
    }
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx_t_3);
    __Pyx_INCREF(__pyx_t_5);
    __Pyx_INCREF(__pyx_t_6);
    #else
    {
      Py_ssize_t i;
      PyObject** temps[4] = {&__pyx_t_2,&__pyx_t_3,&__pyx_t_5,&__pyx_t_6};
      for (i=0; i < 4; i++) {
        PyObject* item = PySequence_ITEM(sequence, i); if (unlikely(!item)) __PYX_ERR(0, 633, __pyx_L1_error)
        __Pyx_GOTREF(item);
        *(temps[i]) = item;
      }
    }
    #endif
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  } else {
    Py_ssize_t index = -1;
    PyObject** temps[4] = {&__pyx_t_2,&__pyx_t_3,&__pyx_t_5,&__pyx_t_6};
    __pyx_t_7 = PyObject_GetIter(__pyx_t_1); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 633, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_8 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_7);
    for (index=0; index < 4; index++) {
      PyObject* item = __pyx_t_8(__pyx_t_7); if (unlikely(!item)) goto __pyx_L3_unpacking_failed;
      __Pyx_GOTREF(item);
      *(temps[index]) = item;
    }
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_8(__pyx_t_7), 4) < 0) __PYX_ERR(0, 633, __pyx_L1_error)
    __pyx_t_8 = NULL;
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    goto __pyx_L4_unpacking_done;
    __pyx_L3_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    __pyx_t_8 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 633, __pyx_L1_error)
    __pyx_L4_unpacking_done:;
  }
  __pyx_v_a = __pyx_t_2;
  __pyx_t_2 = 0;
  __pyx_v_b = __pyx_t_3;
  __pyx_t_3 = 0;
  __pyx_v_c = __pyx_t_5;
  __pyx_t_5 = 0;
  __pyx_v_d = __pyx_t_6;
  __pyx_t_6 = 0;

  /* "fontTools/misc/bezierTools.py":634
 *     """
 *     a, b, c, d = calcCubicParameters(pt1, pt2, pt3, pt4)
 *     return _splitCubicAtT(a, b, c, d, *ts)             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __Pyx_XDECREF(__pyx_r);
  __Pyx_GetModuleGlobalName(__pyx_t_1, __pyx_n_s_splitCubicAtT); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 634, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_6 = PyTuple_New(4); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 634, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __Pyx_INCREF(__pyx_v_a);
  __Pyx_GIVEREF(__pyx_v_a);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 0, __pyx_v_a)) __PYX_ERR(0, 634, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_b);
  __Pyx_GIVEREF(__pyx_v_b);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 1, __pyx_v_b)) __PYX_ERR(0, 634, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_c);
  __Pyx_GIVEREF(__pyx_v_c);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 2, __pyx_v_c)) __PYX_ERR(0, 634, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_d);
  __Pyx_GIVEREF(__pyx_v_d);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 3, __pyx_v_d)) __PYX_ERR(0, 634, __pyx_L1_error);
  __pyx_t_5 = PyNumber_Add(__pyx_t_6, __pyx_v_ts); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 634, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
  __pyx_t_6 = __Pyx_PyObject_Call(__pyx_t_1, __pyx_t_5, NULL); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 634, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  __pyx_r = __pyx_t_6;
  __pyx_t_6 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":613
 * 
 * 
 * def splitCubicAtT(pt1, pt2, pt3, pt4, *ts):             # <<<<<<<<<<<<<<
 *     """Split a cubic Bezier curve at one or more values of t.
 * 
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_XDECREF(__pyx_t_7);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.splitCubicAtT", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_a);
  __Pyx_XDECREF(__pyx_v_b);
  __Pyx_XDECREF(__pyx_v_c);
  __Pyx_XDECREF(__pyx_v_d);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}
static PyObject *__pyx_gb_9fontTools_4misc_11bezierTools_36generator(__pyx_CoroutineObject *__pyx_generator, CYTHON_UNUSED PyThreadState *__pyx_tstate, PyObject *__pyx_sent_value); /* proto */

/* "fontTools/misc/bezierTools.py":637
 * 
 * 
 * @cython.locals(             # <<<<<<<<<<<<<<
 *     pt1=cython.complex,
 *     pt2=cython.complex,
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_35splitCubicAtTC(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_34splitCubicAtTC, "splitCubicAtTC(double complex pt1, double complex pt2, double complex pt3, double complex pt4, *ts)\nSplit a cubic Bezier curve at one or more values of t.\n\n    Args:\n        pt1,pt2,pt3,pt4: Control points of the Bezier as complex numbers..\n        *ts: Positions at which to split the curve.\n\n    Yields:\n        Curve segments (each curve segment being four complex numbers).\n    ");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_35splitCubicAtTC = {"splitCubicAtTC", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_35splitCubicAtTC, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_34splitCubicAtTC};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_35splitCubicAtTC(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  __pyx_t_double_complex __pyx_v_pt1;
  __pyx_t_double_complex __pyx_v_pt2;
  __pyx_t_double_complex __pyx_v_pt3;
  __pyx_t_double_complex __pyx_v_pt4;
  PyObject *__pyx_v_ts = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[4] = {0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("splitCubicAtTC (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  __pyx_v_ts = __Pyx_ArgsSlice_FASTCALL(__pyx_args, 4, __pyx_nargs);
  if (unlikely(!__pyx_v_ts)) {
    __Pyx_RefNannyFinishContext();
    return NULL;
  }
  __Pyx_GOTREF(__pyx_v_ts);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_pt1,&__pyx_n_s_pt2,&__pyx_n_s_pt3,&__pyx_n_s_pt4,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        default:
        case  4: values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt1)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 637, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt2)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[1]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 637, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("splitCubicAtTC", 0, 4, 4, 1); __PYX_ERR(0, 637, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt3)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[2]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 637, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("splitCubicAtTC", 0, 4, 4, 2); __PYX_ERR(0, 637, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  3:
        if (likely((values[3] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt4)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[3]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 637, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("splitCubicAtTC", 0, 4, 4, 3); __PYX_ERR(0, 637, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        const Py_ssize_t used_pos_args = (kwd_pos_args < 4) ? kwd_pos_args : 4;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, used_pos_args, "splitCubicAtTC") < 0)) __PYX_ERR(0, 637, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs < 4)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
      values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
      values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
      values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
    }
    __pyx_v_pt1 = __Pyx_PyComplex_As___pyx_t_double_complex(values[0]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 647, __pyx_L3_error)
    __pyx_v_pt2 = __Pyx_PyComplex_As___pyx_t_double_complex(values[1]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 647, __pyx_L3_error)
    __pyx_v_pt3 = __Pyx_PyComplex_As___pyx_t_double_complex(values[2]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 647, __pyx_L3_error)
    __pyx_v_pt4 = __Pyx_PyComplex_As___pyx_t_double_complex(values[3]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 647, __pyx_L3_error)
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("splitCubicAtTC", 0, 4, 4, __pyx_nargs); __PYX_ERR(0, 637, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_CLEAR(__pyx_v_ts);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.splitCubicAtTC", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_34splitCubicAtTC(__pyx_self, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3, __pyx_v_pt4, __pyx_v_ts);

  /* function exit code */
  __Pyx_DECREF(__pyx_v_ts);
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_34splitCubicAtTC(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_double_complex __pyx_v_pt1, __pyx_t_double_complex __pyx_v_pt2, __pyx_t_double_complex __pyx_v_pt3, __pyx_t_double_complex __pyx_v_pt4, PyObject *__pyx_v_ts) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC *__pyx_cur_scope;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("splitCubicAtTC", 0);
  __pyx_cur_scope = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC *)__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC(__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC, __pyx_empty_tuple, NULL);
  if (unlikely(!__pyx_cur_scope)) {
    __pyx_cur_scope = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC *)Py_None);
    __Pyx_INCREF(Py_None);
    __PYX_ERR(0, 637, __pyx_L1_error)
  } else {
    __Pyx_GOTREF((PyObject *)__pyx_cur_scope);
  }
  __pyx_cur_scope->__pyx_v_pt1 = __pyx_v_pt1;
  __pyx_cur_scope->__pyx_v_pt2 = __pyx_v_pt2;
  __pyx_cur_scope->__pyx_v_pt3 = __pyx_v_pt3;
  __pyx_cur_scope->__pyx_v_pt4 = __pyx_v_pt4;
  __pyx_cur_scope->__pyx_v_ts = __pyx_v_ts;
  __Pyx_INCREF(__pyx_cur_scope->__pyx_v_ts);
  __Pyx_GIVEREF(__pyx_cur_scope->__pyx_v_ts);
  {
    __pyx_CoroutineObject *gen = __Pyx_Generator_New((__pyx_coroutine_body_t) __pyx_gb_9fontTools_4misc_11bezierTools_36generator, __pyx_codeobj_, (PyObject *) __pyx_cur_scope, __pyx_n_s_splitCubicAtTC, __pyx_n_s_splitCubicAtTC, __pyx_n_s_fontTools_misc_bezierTools); if (unlikely(!gen)) __PYX_ERR(0, 637, __pyx_L1_error)
    __Pyx_DECREF(__pyx_cur_scope);
    __Pyx_RefNannyFinishContext();
    return (PyObject *) gen;
  }

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_AddTraceback("fontTools.misc.bezierTools.splitCubicAtTC", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __Pyx_DECREF((PyObject *)__pyx_cur_scope);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_gb_9fontTools_4misc_11bezierTools_36generator(__pyx_CoroutineObject *__pyx_generator, CYTHON_UNUSED PyThreadState *__pyx_tstate, PyObject *__pyx_sent_value) /* generator body */
{
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC *__pyx_cur_scope = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC *)__pyx_generator->closure);
  PyObject *__pyx_r = NULL;
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  PyObject *__pyx_t_6 = NULL;
  PyObject *(*__pyx_t_7)(PyObject *);
  __pyx_t_double_complex __pyx_t_8;
  __pyx_t_double_complex __pyx_t_9;
  __pyx_t_double_complex __pyx_t_10;
  __pyx_t_double_complex __pyx_t_11;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("splitCubicAtTC", 0);
  switch (__pyx_generator->resume_label) {
    case 0: goto __pyx_L3_first_run;
    case 1: goto __pyx_L6_resume_from_yield_from;
    default: /* CPython raises the right error here */
    __Pyx_RefNannyFinishContext();
    return NULL;
  }
  __pyx_L3_first_run:;
  if (unlikely(!__pyx_sent_value)) __PYX_ERR(0, 637, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":657
 *         Curve segments (each curve segment being four complex numbers).
 *     """
 *     a, b, c, d = calcCubicParametersC(pt1, pt2, pt3, pt4)             # <<<<<<<<<<<<<<
 *     yield from _splitCubicAtTC(a, b, c, d, *ts)
 * 
 */
  __pyx_t_1 = __pyx_f_9fontTools_4misc_11bezierTools_calcCubicParametersC(__pyx_cur_scope->__pyx_v_pt1, __pyx_cur_scope->__pyx_v_pt2, __pyx_cur_scope->__pyx_v_pt3, __pyx_cur_scope->__pyx_v_pt4); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 657, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  if ((likely(PyTuple_CheckExact(__pyx_t_1))) || (PyList_CheckExact(__pyx_t_1))) {
    PyObject* sequence = __pyx_t_1;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 4)) {
      if (size > 4) __Pyx_RaiseTooManyValuesError(4);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 657, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_3 = PyTuple_GET_ITEM(sequence, 1); 
      __pyx_t_4 = PyTuple_GET_ITEM(sequence, 2); 
      __pyx_t_5 = PyTuple_GET_ITEM(sequence, 3); 
    } else {
      __pyx_t_2 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_3 = PyList_GET_ITEM(sequence, 1); 
      __pyx_t_4 = PyList_GET_ITEM(sequence, 2); 
      __pyx_t_5 = PyList_GET_ITEM(sequence, 3); 
    }
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx_t_3);
    __Pyx_INCREF(__pyx_t_4);
    __Pyx_INCREF(__pyx_t_5);
    #else
    {
      Py_ssize_t i;
      PyObject** temps[4] = {&__pyx_t_2,&__pyx_t_3,&__pyx_t_4,&__pyx_t_5};
      for (i=0; i < 4; i++) {
        PyObject* item = PySequence_ITEM(sequence, i); if (unlikely(!item)) __PYX_ERR(0, 657, __pyx_L1_error)
        __Pyx_GOTREF(item);
        *(temps[i]) = item;
      }
    }
    #endif
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  } else {
    Py_ssize_t index = -1;
    PyObject** temps[4] = {&__pyx_t_2,&__pyx_t_3,&__pyx_t_4,&__pyx_t_5};
    __pyx_t_6 = PyObject_GetIter(__pyx_t_1); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 657, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_7 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_6);
    for (index=0; index < 4; index++) {
      PyObject* item = __pyx_t_7(__pyx_t_6); if (unlikely(!item)) goto __pyx_L4_unpacking_failed;
      __Pyx_GOTREF(item);
      *(temps[index]) = item;
    }
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_7(__pyx_t_6), 4) < 0) __PYX_ERR(0, 657, __pyx_L1_error)
    __pyx_t_7 = NULL;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    goto __pyx_L5_unpacking_done;
    __pyx_L4_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __pyx_t_7 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 657, __pyx_L1_error)
    __pyx_L5_unpacking_done:;
  }
  __pyx_t_8 = __Pyx_PyComplex_As___pyx_t_double_complex(__pyx_t_2); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 657, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_9 = __Pyx_PyComplex_As___pyx_t_double_complex(__pyx_t_3); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 657, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_10 = __Pyx_PyComplex_As___pyx_t_double_complex(__pyx_t_4); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 657, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_t_11 = __Pyx_PyComplex_As___pyx_t_double_complex(__pyx_t_5); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 657, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  __pyx_cur_scope->__pyx_v_a = __pyx_t_8;
  __pyx_cur_scope->__pyx_v_b = __pyx_t_9;
  __pyx_cur_scope->__pyx_v_c = __pyx_t_10;
  __pyx_cur_scope->__pyx_v_d = __pyx_t_11;

  /* "fontTools/misc/bezierTools.py":658
 *     """
 *     a, b, c, d = calcCubicParametersC(pt1, pt2, pt3, pt4)
 *     yield from _splitCubicAtTC(a, b, c, d, *ts)             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __Pyx_GetModuleGlobalName(__pyx_t_1, __pyx_n_s_splitCubicAtTC_2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 658, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_5 = __pyx_PyComplex_FromComplex(__pyx_cur_scope->__pyx_v_a); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 658, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __pyx_t_4 = __pyx_PyComplex_FromComplex(__pyx_cur_scope->__pyx_v_b); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 658, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_3 = __pyx_PyComplex_FromComplex(__pyx_cur_scope->__pyx_v_c); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 658, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_2 = __pyx_PyComplex_FromComplex(__pyx_cur_scope->__pyx_v_d); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 658, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_6 = PyTuple_New(4); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 658, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __Pyx_GIVEREF(__pyx_t_5);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 0, __pyx_t_5)) __PYX_ERR(0, 658, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_4);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 1, __pyx_t_4)) __PYX_ERR(0, 658, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_3);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 2, __pyx_t_3)) __PYX_ERR(0, 658, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_2);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 3, __pyx_t_2)) __PYX_ERR(0, 658, __pyx_L1_error);
  __pyx_t_5 = 0;
  __pyx_t_4 = 0;
  __pyx_t_3 = 0;
  __pyx_t_2 = 0;
  __pyx_t_2 = PyNumber_Add(__pyx_t_6, __pyx_cur_scope->__pyx_v_ts); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 658, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
  __pyx_t_6 = __Pyx_PyObject_Call(__pyx_t_1, __pyx_t_2, NULL); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 658, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_r = __Pyx_Generator_Yield_From(__pyx_generator, __pyx_t_6);
  __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
  __Pyx_XGOTREF(__pyx_r);
  if (likely(__pyx_r)) {
    __Pyx_XGIVEREF(__pyx_r);
    __Pyx_RefNannyFinishContext();
    __Pyx_Coroutine_ResetAndClearException(__pyx_generator);
    /* return from generator, yielding value */
    __pyx_generator->resume_label = 1;
    return __pyx_r;
    __pyx_L6_resume_from_yield_from:;
    if (unlikely(!__pyx_sent_value)) __PYX_ERR(0, 658, __pyx_L1_error)
  } else {
    PyObject* exc_type = __Pyx_PyErr_CurrentExceptionType();
    if (exc_type) {
      if (likely(exc_type == PyExc_StopIteration || (exc_type != PyExc_GeneratorExit && __Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration)))) PyErr_Clear();
      else __PYX_ERR(0, 658, __pyx_L1_error)
    }
  }
  CYTHON_MAYBE_UNUSED_VAR(__pyx_cur_scope);

  /* "fontTools/misc/bezierTools.py":637
 * 
 * 
 * @cython.locals(             # <<<<<<<<<<<<<<
 *     pt1=cython.complex,
 *     pt2=cython.complex,
 */

  /* function exit code */
  PyErr_SetNone(PyExc_StopIteration);
  goto __pyx_L0;
  __pyx_L1_error:;
  __Pyx_Generator_Replace_StopIteration(0);
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_AddTraceback("splitCubicAtTC", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_r); __pyx_r = 0;
  #if !CYTHON_USE_EXC_INFO_STACK
  __Pyx_Coroutine_ResetAndClearException(__pyx_generator);
  #endif
  __pyx_generator->resume_label = -1;
  __Pyx_Coroutine_clear((PyObject*)__pyx_generator);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":661
 * 
 * 
 * @cython.returns(cython.complex)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     t=cython.double,
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_38splitCubicIntoTwoAtTC(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_37splitCubicIntoTwoAtTC, "splitCubicIntoTwoAtTC(double complex pt1, double complex pt2, double complex pt3, double complex pt4, double t)\nSplit a cubic Bezier curve at t.\n\n    Args:\n        pt1,pt2,pt3,pt4: Control points of the Bezier as complex numbers.\n        t: Position at which to split the curve.\n\n    Returns:\n        A tuple of two curve segments (each curve segment being four complex numbers).\n    ");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_38splitCubicIntoTwoAtTC = {"splitCubicIntoTwoAtTC", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_38splitCubicIntoTwoAtTC, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_37splitCubicIntoTwoAtTC};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_38splitCubicIntoTwoAtTC(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  __pyx_t_double_complex __pyx_v_pt1;
  __pyx_t_double_complex __pyx_v_pt2;
  __pyx_t_double_complex __pyx_v_pt3;
  __pyx_t_double_complex __pyx_v_pt4;
  double __pyx_v_t;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[5] = {0,0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("splitCubicIntoTwoAtTC (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_pt1,&__pyx_n_s_pt2,&__pyx_n_s_pt3,&__pyx_n_s_pt4,&__pyx_n_s_t,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  5: values[4] = __Pyx_Arg_FASTCALL(__pyx_args, 4);
        CYTHON_FALLTHROUGH;
        case  4: values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt1)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 661, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt2)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[1]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 661, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("splitCubicIntoTwoAtTC", 1, 5, 5, 1); __PYX_ERR(0, 661, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt3)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[2]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 661, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("splitCubicIntoTwoAtTC", 1, 5, 5, 2); __PYX_ERR(0, 661, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  3:
        if (likely((values[3] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt4)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[3]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 661, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("splitCubicIntoTwoAtTC", 1, 5, 5, 3); __PYX_ERR(0, 661, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  4:
        if (likely((values[4] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_t)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[4]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 661, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("splitCubicIntoTwoAtTC", 1, 5, 5, 4); __PYX_ERR(0, 661, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "splitCubicIntoTwoAtTC") < 0)) __PYX_ERR(0, 661, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs != 5)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
      values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
      values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
      values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
      values[4] = __Pyx_Arg_FASTCALL(__pyx_args, 4);
    }
    __pyx_v_pt1 = __Pyx_PyComplex_As___pyx_t_double_complex(values[0]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 675, __pyx_L3_error)
    __pyx_v_pt2 = __Pyx_PyComplex_As___pyx_t_double_complex(values[1]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 675, __pyx_L3_error)
    __pyx_v_pt3 = __Pyx_PyComplex_As___pyx_t_double_complex(values[2]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 675, __pyx_L3_error)
    __pyx_v_pt4 = __Pyx_PyComplex_As___pyx_t_double_complex(values[3]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 675, __pyx_L3_error)
    __pyx_v_t = __pyx_PyFloat_AsDouble(values[4]); if (unlikely((__pyx_v_t == (double)-1) && PyErr_Occurred())) __PYX_ERR(0, 675, __pyx_L3_error)
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("splitCubicIntoTwoAtTC", 1, 5, 5, __pyx_nargs); __PYX_ERR(0, 661, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.splitCubicIntoTwoAtTC", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_37splitCubicIntoTwoAtTC(__pyx_self, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3, __pyx_v_pt4, __pyx_v_t);

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_37splitCubicIntoTwoAtTC(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_double_complex __pyx_v_pt1, __pyx_t_double_complex __pyx_v_pt2, __pyx_t_double_complex __pyx_v_pt3, __pyx_t_double_complex __pyx_v_pt4, double __pyx_v_t) {
  double __pyx_v_t2;
  double __pyx_v__1_t;
  double __pyx_v__1_t_2;
  double __pyx_v__2_t_1_t;
  __pyx_t_double_complex __pyx_v_pointAtT;
  __pyx_t_double_complex __pyx_v_off1;
  __pyx_t_double_complex __pyx_v_off2;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  PyObject *__pyx_t_6 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("splitCubicIntoTwoAtTC", 1);

  /* "fontTools/misc/bezierTools.py":685
 *         A tuple of two curve segments (each curve segment being four complex numbers).
 *     """
 *     t2 = t * t             # <<<<<<<<<<<<<<
 *     _1_t = 1 - t
 *     _1_t_2 = _1_t * _1_t
 */
  __pyx_v_t2 = (__pyx_v_t * __pyx_v_t);

  /* "fontTools/misc/bezierTools.py":686
 *     """
 *     t2 = t * t
 *     _1_t = 1 - t             # <<<<<<<<<<<<<<
 *     _1_t_2 = _1_t * _1_t
 *     _2_t_1_t = 2 * t * _1_t
 */
  __pyx_v__1_t = (1.0 - __pyx_v_t);

  /* "fontTools/misc/bezierTools.py":687
 *     t2 = t * t
 *     _1_t = 1 - t
 *     _1_t_2 = _1_t * _1_t             # <<<<<<<<<<<<<<
 *     _2_t_1_t = 2 * t * _1_t
 *     pointAtT = (
 */
  __pyx_v__1_t_2 = (__pyx_v__1_t * __pyx_v__1_t);

  /* "fontTools/misc/bezierTools.py":688
 *     _1_t = 1 - t
 *     _1_t_2 = _1_t * _1_t
 *     _2_t_1_t = 2 * t * _1_t             # <<<<<<<<<<<<<<
 *     pointAtT = (
 *         _1_t_2 * _1_t * pt1 + 3 * (_1_t_2 * t * pt2 + _1_t * t2 * pt3) + t2 * t * pt4
 */
  __pyx_v__2_t_1_t = ((2.0 * __pyx_v_t) * __pyx_v__1_t);

  /* "fontTools/misc/bezierTools.py":690
 *     _2_t_1_t = 2 * t * _1_t
 *     pointAtT = (
 *         _1_t_2 * _1_t * pt1 + 3 * (_1_t_2 * t * pt2 + _1_t * t2 * pt3) + t2 * t * pt4             # <<<<<<<<<<<<<<
 *     )
 *     off1 = _1_t_2 * pt1 + _2_t_1_t * pt2 + t2 * pt3
 */
  __pyx_v_pointAtT = __Pyx_c_sum_double(__Pyx_c_sum_double(__Pyx_c_prod_double(__pyx_t_double_complex_from_parts((__pyx_v__1_t_2 * __pyx_v__1_t), 0), __pyx_v_pt1), __Pyx_c_prod_double(__pyx_t_double_complex_from_parts(3, 0), __Pyx_c_sum_double(__Pyx_c_prod_double(__pyx_t_double_complex_from_parts((__pyx_v__1_t_2 * __pyx_v_t), 0), __pyx_v_pt2), __Pyx_c_prod_double(__pyx_t_double_complex_from_parts((__pyx_v__1_t * __pyx_v_t2), 0), __pyx_v_pt3)))), __Pyx_c_prod_double(__pyx_t_double_complex_from_parts((__pyx_v_t2 * __pyx_v_t), 0), __pyx_v_pt4));

  /* "fontTools/misc/bezierTools.py":692
 *         _1_t_2 * _1_t * pt1 + 3 * (_1_t_2 * t * pt2 + _1_t * t2 * pt3) + t2 * t * pt4
 *     )
 *     off1 = _1_t_2 * pt1 + _2_t_1_t * pt2 + t2 * pt3             # <<<<<<<<<<<<<<
 *     off2 = _1_t_2 * pt2 + _2_t_1_t * pt3 + t2 * pt4
 * 
 */
  __pyx_v_off1 = __Pyx_c_sum_double(__Pyx_c_sum_double(__Pyx_c_prod_double(__pyx_t_double_complex_from_parts(__pyx_v__1_t_2, 0), __pyx_v_pt1), __Pyx_c_prod_double(__pyx_t_double_complex_from_parts(__pyx_v__2_t_1_t, 0), __pyx_v_pt2)), __Pyx_c_prod_double(__pyx_t_double_complex_from_parts(__pyx_v_t2, 0), __pyx_v_pt3));

  /* "fontTools/misc/bezierTools.py":693
 *     )
 *     off1 = _1_t_2 * pt1 + _2_t_1_t * pt2 + t2 * pt3
 *     off2 = _1_t_2 * pt2 + _2_t_1_t * pt3 + t2 * pt4             # <<<<<<<<<<<<<<
 * 
 *     pt2 = pt1 + (pt2 - pt1) * t
 */
  __pyx_v_off2 = __Pyx_c_sum_double(__Pyx_c_sum_double(__Pyx_c_prod_double(__pyx_t_double_complex_from_parts(__pyx_v__1_t_2, 0), __pyx_v_pt2), __Pyx_c_prod_double(__pyx_t_double_complex_from_parts(__pyx_v__2_t_1_t, 0), __pyx_v_pt3)), __Pyx_c_prod_double(__pyx_t_double_complex_from_parts(__pyx_v_t2, 0), __pyx_v_pt4));

  /* "fontTools/misc/bezierTools.py":695
 *     off2 = _1_t_2 * pt2 + _2_t_1_t * pt3 + t2 * pt4
 * 
 *     pt2 = pt1 + (pt2 - pt1) * t             # <<<<<<<<<<<<<<
 *     pt3 = pt4 + (pt3 - pt4) * _1_t
 * 
 */
  __pyx_v_pt2 = __Pyx_c_sum_double(__pyx_v_pt1, __Pyx_c_prod_double(__Pyx_c_diff_double(__pyx_v_pt2, __pyx_v_pt1), __pyx_t_double_complex_from_parts(__pyx_v_t, 0)));

  /* "fontTools/misc/bezierTools.py":696
 * 
 *     pt2 = pt1 + (pt2 - pt1) * t
 *     pt3 = pt4 + (pt3 - pt4) * _1_t             # <<<<<<<<<<<<<<
 * 
 *     return ((pt1, pt2, off1, pointAtT), (pointAtT, off2, pt3, pt4))
 */
  __pyx_v_pt3 = __Pyx_c_sum_double(__pyx_v_pt4, __Pyx_c_prod_double(__Pyx_c_diff_double(__pyx_v_pt3, __pyx_v_pt4), __pyx_t_double_complex_from_parts(__pyx_v__1_t, 0)));

  /* "fontTools/misc/bezierTools.py":698
 *     pt3 = pt4 + (pt3 - pt4) * _1_t
 * 
 *     return ((pt1, pt2, off1, pointAtT), (pointAtT, off2, pt3, pt4))             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = __pyx_PyComplex_FromComplex(__pyx_v_pt1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 698, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __pyx_PyComplex_FromComplex(__pyx_v_pt2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 698, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = __pyx_PyComplex_FromComplex(__pyx_v_off1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 698, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_4 = __pyx_PyComplex_FromComplex(__pyx_v_pointAtT); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 698, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_5 = PyTuple_New(4); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 698, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_GIVEREF(__pyx_t_1);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_t_1)) __PYX_ERR(0, 698, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_2);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 1, __pyx_t_2)) __PYX_ERR(0, 698, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_3);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 2, __pyx_t_3)) __PYX_ERR(0, 698, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_4);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 3, __pyx_t_4)) __PYX_ERR(0, 698, __pyx_L1_error);
  __pyx_t_1 = 0;
  __pyx_t_2 = 0;
  __pyx_t_3 = 0;
  __pyx_t_4 = 0;
  __pyx_t_4 = __pyx_PyComplex_FromComplex(__pyx_v_pointAtT); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 698, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_3 = __pyx_PyComplex_FromComplex(__pyx_v_off2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 698, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_2 = __pyx_PyComplex_FromComplex(__pyx_v_pt3); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 698, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_1 = __pyx_PyComplex_FromComplex(__pyx_v_pt4); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 698, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_6 = PyTuple_New(4); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 698, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __Pyx_GIVEREF(__pyx_t_4);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 0, __pyx_t_4)) __PYX_ERR(0, 698, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_3);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 1, __pyx_t_3)) __PYX_ERR(0, 698, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_2);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 2, __pyx_t_2)) __PYX_ERR(0, 698, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_1);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 3, __pyx_t_1)) __PYX_ERR(0, 698, __pyx_L1_error);
  __pyx_t_4 = 0;
  __pyx_t_3 = 0;
  __pyx_t_2 = 0;
  __pyx_t_1 = 0;
  __pyx_t_1 = PyTuple_New(2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 698, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_GIVEREF(__pyx_t_5);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_t_5)) __PYX_ERR(0, 698, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_6);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_t_6)) __PYX_ERR(0, 698, __pyx_L1_error);
  __pyx_t_5 = 0;
  __pyx_t_6 = 0;
  __pyx_r = __pyx_t_1;
  __pyx_t_1 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":661
 * 
 * 
 * @cython.returns(cython.complex)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     t=cython.double,
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.splitCubicIntoTwoAtTC", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":701
 * 
 * 
 * def _splitQuadraticAtT(a, b, c, *ts):             # <<<<<<<<<<<<<<
 *     ts = list(ts)
 *     segments = []
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_40_splitQuadraticAtT(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_39_splitQuadraticAtT, "_splitQuadraticAtT(a, b, c, *ts)");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_40_splitQuadraticAtT = {"_splitQuadraticAtT", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_40_splitQuadraticAtT, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_39_splitQuadraticAtT};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_40_splitQuadraticAtT(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_a = 0;
  PyObject *__pyx_v_b = 0;
  PyObject *__pyx_v_c = 0;
  PyObject *__pyx_v_ts = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[3] = {0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("_splitQuadraticAtT (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  __pyx_v_ts = __Pyx_ArgsSlice_FASTCALL(__pyx_args, 3, __pyx_nargs);
  if (unlikely(!__pyx_v_ts)) {
    __Pyx_RefNannyFinishContext();
    return NULL;
  }
  __Pyx_GOTREF(__pyx_v_ts);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_a,&__pyx_n_s_b,&__pyx_n_s_c,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        default:
        case  3: values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_a)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 701, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_b)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[1]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 701, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("_splitQuadraticAtT", 0, 3, 3, 1); __PYX_ERR(0, 701, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_c)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[2]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 701, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("_splitQuadraticAtT", 0, 3, 3, 2); __PYX_ERR(0, 701, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        const Py_ssize_t used_pos_args = (kwd_pos_args < 3) ? kwd_pos_args : 3;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, used_pos_args, "_splitQuadraticAtT") < 0)) __PYX_ERR(0, 701, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs < 3)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
      values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
      values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
    }
    __pyx_v_a = values[0];
    __pyx_v_b = values[1];
    __pyx_v_c = values[2];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("_splitQuadraticAtT", 0, 3, 3, __pyx_nargs); __PYX_ERR(0, 701, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_DECREF(__pyx_v_ts); __pyx_v_ts = 0;
  __Pyx_AddTraceback("fontTools.misc.bezierTools._splitQuadraticAtT", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_39_splitQuadraticAtT(__pyx_self, __pyx_v_a, __pyx_v_b, __pyx_v_c, __pyx_v_ts);

  /* function exit code */
  __Pyx_DECREF(__pyx_v_ts);
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_39_splitQuadraticAtT(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_a, PyObject *__pyx_v_b, PyObject *__pyx_v_c, PyObject *__pyx_v_ts) {
  PyObject *__pyx_v_segments = NULL;
  PyObject *__pyx_v_ax = NULL;
  PyObject *__pyx_v_ay = NULL;
  PyObject *__pyx_v_bx = NULL;
  PyObject *__pyx_v_by = NULL;
  PyObject *__pyx_v_cx = NULL;
  PyObject *__pyx_v_cy = NULL;
  PyObject *__pyx_v_i = NULL;
  PyObject *__pyx_v_t1 = NULL;
  PyObject *__pyx_v_t2 = NULL;
  PyObject *__pyx_v_delta = NULL;
  PyObject *__pyx_v_delta_2 = NULL;
  PyObject *__pyx_v_a1x = NULL;
  PyObject *__pyx_v_a1y = NULL;
  PyObject *__pyx_v_b1x = NULL;
  PyObject *__pyx_v_b1y = NULL;
  PyObject *__pyx_v_t1_2 = NULL;
  PyObject *__pyx_v_c1x = NULL;
  PyObject *__pyx_v_c1y = NULL;
  PyObject *__pyx_v_pt1 = NULL;
  PyObject *__pyx_v_pt2 = NULL;
  PyObject *__pyx_v_pt3 = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  int __pyx_t_3;
  PyObject *__pyx_t_4 = NULL;
  PyObject *(*__pyx_t_5)(PyObject *);
  Py_ssize_t __pyx_t_6;
  PyObject *(*__pyx_t_7)(PyObject *);
  PyObject *__pyx_t_8 = NULL;
  PyObject *__pyx_t_9 = NULL;
  PyObject *__pyx_t_10 = NULL;
  PyObject *__pyx_t_11 = NULL;
  int __pyx_t_12;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("_splitQuadraticAtT", 0);
  __Pyx_INCREF(__pyx_v_ts);

  /* "fontTools/misc/bezierTools.py":702
 * 
 * def _splitQuadraticAtT(a, b, c, *ts):
 *     ts = list(ts)             # <<<<<<<<<<<<<<
 *     segments = []
 *     ts.insert(0, 0.0)
 */
  __pyx_t_1 = PySequence_List(__pyx_v_ts); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 702, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF_SET(__pyx_v_ts, __pyx_t_1);
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":703
 * def _splitQuadraticAtT(a, b, c, *ts):
 *     ts = list(ts)
 *     segments = []             # <<<<<<<<<<<<<<
 *     ts.insert(0, 0.0)
 *     ts.append(1.0)
 */
  __pyx_t_1 = PyList_New(0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 703, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_v_segments = ((PyObject*)__pyx_t_1);
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":704
 *     ts = list(ts)
 *     segments = []
 *     ts.insert(0, 0.0)             # <<<<<<<<<<<<<<
 *     ts.append(1.0)
 *     ax, ay = a
 */
  __pyx_t_1 = __Pyx_PyObject_GetAttrStr(__pyx_v_ts, __pyx_n_s_insert); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 704, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __Pyx_PyObject_Call(__pyx_t_1, __pyx_tuple__2, NULL); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 704, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":705
 *     segments = []
 *     ts.insert(0, 0.0)
 *     ts.append(1.0)             # <<<<<<<<<<<<<<
 *     ax, ay = a
 *     bx, by = b
 */
  __pyx_t_3 = __Pyx_PyObject_Append(__pyx_v_ts, __pyx_float_1_0); if (unlikely(__pyx_t_3 == ((int)-1))) __PYX_ERR(0, 705, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":706
 *     ts.insert(0, 0.0)
 *     ts.append(1.0)
 *     ax, ay = a             # <<<<<<<<<<<<<<
 *     bx, by = b
 *     cx, cy = c
 */
  if ((likely(PyTuple_CheckExact(__pyx_v_a))) || (PyList_CheckExact(__pyx_v_a))) {
    PyObject* sequence = __pyx_v_a;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 706, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 1); 
    } else {
      __pyx_t_2 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_1 = PyList_GET_ITEM(sequence, 1); 
    }
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx_t_1);
    #else
    __pyx_t_2 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 706, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 706, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_4 = PyObject_GetIter(__pyx_v_a); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 706, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_5 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_4);
    index = 0; __pyx_t_2 = __pyx_t_5(__pyx_t_4); if (unlikely(!__pyx_t_2)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    index = 1; __pyx_t_1 = __pyx_t_5(__pyx_t_4); if (unlikely(!__pyx_t_1)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_5(__pyx_t_4), 2) < 0) __PYX_ERR(0, 706, __pyx_L1_error)
    __pyx_t_5 = NULL;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    goto __pyx_L4_unpacking_done;
    __pyx_L3_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __pyx_t_5 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 706, __pyx_L1_error)
    __pyx_L4_unpacking_done:;
  }
  __pyx_v_ax = __pyx_t_2;
  __pyx_t_2 = 0;
  __pyx_v_ay = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":707
 *     ts.append(1.0)
 *     ax, ay = a
 *     bx, by = b             # <<<<<<<<<<<<<<
 *     cx, cy = c
 *     for i in range(len(ts) - 1):
 */
  if ((likely(PyTuple_CheckExact(__pyx_v_b))) || (PyList_CheckExact(__pyx_v_b))) {
    PyObject* sequence = __pyx_v_b;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 707, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 1); 
    } else {
      __pyx_t_1 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_2 = PyList_GET_ITEM(sequence, 1); 
    }
    __Pyx_INCREF(__pyx_t_1);
    __Pyx_INCREF(__pyx_t_2);
    #else
    __pyx_t_1 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 707, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 707, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_4 = PyObject_GetIter(__pyx_v_b); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 707, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_5 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_4);
    index = 0; __pyx_t_1 = __pyx_t_5(__pyx_t_4); if (unlikely(!__pyx_t_1)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    index = 1; __pyx_t_2 = __pyx_t_5(__pyx_t_4); if (unlikely(!__pyx_t_2)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_5(__pyx_t_4), 2) < 0) __PYX_ERR(0, 707, __pyx_L1_error)
    __pyx_t_5 = NULL;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    goto __pyx_L6_unpacking_done;
    __pyx_L5_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __pyx_t_5 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 707, __pyx_L1_error)
    __pyx_L6_unpacking_done:;
  }
  __pyx_v_bx = __pyx_t_1;
  __pyx_t_1 = 0;
  __pyx_v_by = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":708
 *     ax, ay = a
 *     bx, by = b
 *     cx, cy = c             # <<<<<<<<<<<<<<
 *     for i in range(len(ts) - 1):
 *         t1 = ts[i]
 */
  if ((likely(PyTuple_CheckExact(__pyx_v_c))) || (PyList_CheckExact(__pyx_v_c))) {
    PyObject* sequence = __pyx_v_c;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 708, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 1); 
    } else {
      __pyx_t_2 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_1 = PyList_GET_ITEM(sequence, 1); 
    }
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx_t_1);
    #else
    __pyx_t_2 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 708, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 708, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_4 = PyObject_GetIter(__pyx_v_c); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 708, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_5 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_4);
    index = 0; __pyx_t_2 = __pyx_t_5(__pyx_t_4); if (unlikely(!__pyx_t_2)) goto __pyx_L7_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    index = 1; __pyx_t_1 = __pyx_t_5(__pyx_t_4); if (unlikely(!__pyx_t_1)) goto __pyx_L7_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_5(__pyx_t_4), 2) < 0) __PYX_ERR(0, 708, __pyx_L1_error)
    __pyx_t_5 = NULL;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    goto __pyx_L8_unpacking_done;
    __pyx_L7_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __pyx_t_5 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 708, __pyx_L1_error)
    __pyx_L8_unpacking_done:;
  }
  __pyx_v_cx = __pyx_t_2;
  __pyx_t_2 = 0;
  __pyx_v_cy = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":709
 *     bx, by = b
 *     cx, cy = c
 *     for i in range(len(ts) - 1):             # <<<<<<<<<<<<<<
 *         t1 = ts[i]
 *         t2 = ts[i + 1]
 */
  __pyx_t_6 = PyObject_Length(__pyx_v_ts); if (unlikely(__pyx_t_6 == ((Py_ssize_t)-1))) __PYX_ERR(0, 709, __pyx_L1_error)
  __pyx_t_1 = PyInt_FromSsize_t((__pyx_t_6 - 1)); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 709, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __Pyx_PyObject_CallOneArg(__pyx_builtin_range, __pyx_t_1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 709, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  if (likely(PyList_CheckExact(__pyx_t_2)) || PyTuple_CheckExact(__pyx_t_2)) {
    __pyx_t_1 = __pyx_t_2; __Pyx_INCREF(__pyx_t_1);
    __pyx_t_6 = 0;
    __pyx_t_7 = NULL;
  } else {
    __pyx_t_6 = -1; __pyx_t_1 = PyObject_GetIter(__pyx_t_2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 709, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_7 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_1); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 709, __pyx_L1_error)
  }
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  for (;;) {
    if (likely(!__pyx_t_7)) {
      if (likely(PyList_CheckExact(__pyx_t_1))) {
        {
          Py_ssize_t __pyx_temp = __Pyx_PyList_GET_SIZE(__pyx_t_1);
          #if !CYTHON_ASSUME_SAFE_MACROS
          if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 709, __pyx_L1_error)
          #endif
          if (__pyx_t_6 >= __pyx_temp) break;
        }
        #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
        __pyx_t_2 = PyList_GET_ITEM(__pyx_t_1, __pyx_t_6); __Pyx_INCREF(__pyx_t_2); __pyx_t_6++; if (unlikely((0 < 0))) __PYX_ERR(0, 709, __pyx_L1_error)
        #else
        __pyx_t_2 = __Pyx_PySequence_ITEM(__pyx_t_1, __pyx_t_6); __pyx_t_6++; if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 709, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_2);
        #endif
      } else {
        {
          Py_ssize_t __pyx_temp = __Pyx_PyTuple_GET_SIZE(__pyx_t_1);
          #if !CYTHON_ASSUME_SAFE_MACROS
          if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 709, __pyx_L1_error)
          #endif
          if (__pyx_t_6 >= __pyx_temp) break;
        }
        #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
        __pyx_t_2 = PyTuple_GET_ITEM(__pyx_t_1, __pyx_t_6); __Pyx_INCREF(__pyx_t_2); __pyx_t_6++; if (unlikely((0 < 0))) __PYX_ERR(0, 709, __pyx_L1_error)
        #else
        __pyx_t_2 = __Pyx_PySequence_ITEM(__pyx_t_1, __pyx_t_6); __pyx_t_6++; if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 709, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_2);
        #endif
      }
    } else {
      __pyx_t_2 = __pyx_t_7(__pyx_t_1);
      if (unlikely(!__pyx_t_2)) {
        PyObject* exc_type = PyErr_Occurred();
        if (exc_type) {
          if (likely(__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration))) PyErr_Clear();
          else __PYX_ERR(0, 709, __pyx_L1_error)
        }
        break;
      }
      __Pyx_GOTREF(__pyx_t_2);
    }
    __Pyx_XDECREF_SET(__pyx_v_i, __pyx_t_2);
    __pyx_t_2 = 0;

    /* "fontTools/misc/bezierTools.py":710
 *     cx, cy = c
 *     for i in range(len(ts) - 1):
 *         t1 = ts[i]             # <<<<<<<<<<<<<<
 *         t2 = ts[i + 1]
 *         delta = t2 - t1
 */
    __pyx_t_2 = __Pyx_PyObject_GetItem(__pyx_v_ts, __pyx_v_i); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 710, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_XDECREF_SET(__pyx_v_t1, __pyx_t_2);
    __pyx_t_2 = 0;

    /* "fontTools/misc/bezierTools.py":711
 *     for i in range(len(ts) - 1):
 *         t1 = ts[i]
 *         t2 = ts[i + 1]             # <<<<<<<<<<<<<<
 *         delta = t2 - t1
 *         # calc new a, b and c
 */
    __pyx_t_2 = __Pyx_PyInt_AddObjC(__pyx_v_i, __pyx_int_1, 1, 0, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 711, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_4 = __Pyx_PyObject_GetItem(__pyx_v_ts, __pyx_t_2); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 711, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_XDECREF_SET(__pyx_v_t2, __pyx_t_4);
    __pyx_t_4 = 0;

    /* "fontTools/misc/bezierTools.py":712
 *         t1 = ts[i]
 *         t2 = ts[i + 1]
 *         delta = t2 - t1             # <<<<<<<<<<<<<<
 *         # calc new a, b and c
 *         delta_2 = delta * delta
 */
    __pyx_t_4 = PyNumber_Subtract(__pyx_v_t2, __pyx_v_t1); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 712, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_XDECREF_SET(__pyx_v_delta, __pyx_t_4);
    __pyx_t_4 = 0;

    /* "fontTools/misc/bezierTools.py":714
 *         delta = t2 - t1
 *         # calc new a, b and c
 *         delta_2 = delta * delta             # <<<<<<<<<<<<<<
 *         a1x = ax * delta_2
 *         a1y = ay * delta_2
 */
    __pyx_t_4 = PyNumber_Multiply(__pyx_v_delta, __pyx_v_delta); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 714, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_XDECREF_SET(__pyx_v_delta_2, __pyx_t_4);
    __pyx_t_4 = 0;

    /* "fontTools/misc/bezierTools.py":715
 *         # calc new a, b and c
 *         delta_2 = delta * delta
 *         a1x = ax * delta_2             # <<<<<<<<<<<<<<
 *         a1y = ay * delta_2
 *         b1x = (2 * ax * t1 + bx) * delta
 */
    __pyx_t_4 = PyNumber_Multiply(__pyx_v_ax, __pyx_v_delta_2); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 715, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_XDECREF_SET(__pyx_v_a1x, __pyx_t_4);
    __pyx_t_4 = 0;

    /* "fontTools/misc/bezierTools.py":716
 *         delta_2 = delta * delta
 *         a1x = ax * delta_2
 *         a1y = ay * delta_2             # <<<<<<<<<<<<<<
 *         b1x = (2 * ax * t1 + bx) * delta
 *         b1y = (2 * ay * t1 + by) * delta
 */
    __pyx_t_4 = PyNumber_Multiply(__pyx_v_ay, __pyx_v_delta_2); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 716, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_XDECREF_SET(__pyx_v_a1y, __pyx_t_4);
    __pyx_t_4 = 0;

    /* "fontTools/misc/bezierTools.py":717
 *         a1x = ax * delta_2
 *         a1y = ay * delta_2
 *         b1x = (2 * ax * t1 + bx) * delta             # <<<<<<<<<<<<<<
 *         b1y = (2 * ay * t1 + by) * delta
 *         t1_2 = t1 * t1
 */
    __pyx_t_4 = __Pyx_PyInt_MultiplyCObj(__pyx_int_2, __pyx_v_ax, 2, 0, 0); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 717, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_2 = PyNumber_Multiply(__pyx_t_4, __pyx_v_t1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 717, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __pyx_t_4 = PyNumber_Add(__pyx_t_2, __pyx_v_bx); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 717, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_t_2 = PyNumber_Multiply(__pyx_t_4, __pyx_v_delta); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 717, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __Pyx_XDECREF_SET(__pyx_v_b1x, __pyx_t_2);
    __pyx_t_2 = 0;

    /* "fontTools/misc/bezierTools.py":718
 *         a1y = ay * delta_2
 *         b1x = (2 * ax * t1 + bx) * delta
 *         b1y = (2 * ay * t1 + by) * delta             # <<<<<<<<<<<<<<
 *         t1_2 = t1 * t1
 *         c1x = ax * t1_2 + bx * t1 + cx
 */
    __pyx_t_2 = __Pyx_PyInt_MultiplyCObj(__pyx_int_2, __pyx_v_ay, 2, 0, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 718, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_4 = PyNumber_Multiply(__pyx_t_2, __pyx_v_t1); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 718, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_t_2 = PyNumber_Add(__pyx_t_4, __pyx_v_by); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 718, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __pyx_t_4 = PyNumber_Multiply(__pyx_t_2, __pyx_v_delta); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 718, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_XDECREF_SET(__pyx_v_b1y, __pyx_t_4);
    __pyx_t_4 = 0;

    /* "fontTools/misc/bezierTools.py":719
 *         b1x = (2 * ax * t1 + bx) * delta
 *         b1y = (2 * ay * t1 + by) * delta
 *         t1_2 = t1 * t1             # <<<<<<<<<<<<<<
 *         c1x = ax * t1_2 + bx * t1 + cx
 *         c1y = ay * t1_2 + by * t1 + cy
 */
    __pyx_t_4 = PyNumber_Multiply(__pyx_v_t1, __pyx_v_t1); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 719, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_XDECREF_SET(__pyx_v_t1_2, __pyx_t_4);
    __pyx_t_4 = 0;

    /* "fontTools/misc/bezierTools.py":720
 *         b1y = (2 * ay * t1 + by) * delta
 *         t1_2 = t1 * t1
 *         c1x = ax * t1_2 + bx * t1 + cx             # <<<<<<<<<<<<<<
 *         c1y = ay * t1_2 + by * t1 + cy
 * 
 */
    __pyx_t_4 = PyNumber_Multiply(__pyx_v_ax, __pyx_v_t1_2); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 720, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_2 = PyNumber_Multiply(__pyx_v_bx, __pyx_v_t1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 720, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_8 = PyNumber_Add(__pyx_t_4, __pyx_t_2); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 720, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_t_2 = PyNumber_Add(__pyx_t_8, __pyx_v_cx); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 720, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
    __Pyx_XDECREF_SET(__pyx_v_c1x, __pyx_t_2);
    __pyx_t_2 = 0;

    /* "fontTools/misc/bezierTools.py":721
 *         t1_2 = t1 * t1
 *         c1x = ax * t1_2 + bx * t1 + cx
 *         c1y = ay * t1_2 + by * t1 + cy             # <<<<<<<<<<<<<<
 * 
 *         pt1, pt2, pt3 = calcQuadraticPoints((a1x, a1y), (b1x, b1y), (c1x, c1y))
 */
    __pyx_t_2 = PyNumber_Multiply(__pyx_v_ay, __pyx_v_t1_2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 721, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_8 = PyNumber_Multiply(__pyx_v_by, __pyx_v_t1); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 721, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    __pyx_t_4 = PyNumber_Add(__pyx_t_2, __pyx_t_8); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 721, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
    __pyx_t_8 = PyNumber_Add(__pyx_t_4, __pyx_v_cy); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 721, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __Pyx_XDECREF_SET(__pyx_v_c1y, __pyx_t_8);
    __pyx_t_8 = 0;

    /* "fontTools/misc/bezierTools.py":723
 *         c1y = ay * t1_2 + by * t1 + cy
 * 
 *         pt1, pt2, pt3 = calcQuadraticPoints((a1x, a1y), (b1x, b1y), (c1x, c1y))             # <<<<<<<<<<<<<<
 *         segments.append((pt1, pt2, pt3))
 *     return segments
 */
    __Pyx_GetModuleGlobalName(__pyx_t_4, __pyx_n_s_calcQuadraticPoints); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 723, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_2 = PyTuple_New(2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 723, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_INCREF(__pyx_v_a1x);
    __Pyx_GIVEREF(__pyx_v_a1x);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_v_a1x)) __PYX_ERR(0, 723, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_a1y);
    __Pyx_GIVEREF(__pyx_v_a1y);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 1, __pyx_v_a1y)) __PYX_ERR(0, 723, __pyx_L1_error);
    __pyx_t_9 = PyTuple_New(2); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 723, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_9);
    __Pyx_INCREF(__pyx_v_b1x);
    __Pyx_GIVEREF(__pyx_v_b1x);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_9, 0, __pyx_v_b1x)) __PYX_ERR(0, 723, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_b1y);
    __Pyx_GIVEREF(__pyx_v_b1y);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_9, 1, __pyx_v_b1y)) __PYX_ERR(0, 723, __pyx_L1_error);
    __pyx_t_10 = PyTuple_New(2); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 723, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_10);
    __Pyx_INCREF(__pyx_v_c1x);
    __Pyx_GIVEREF(__pyx_v_c1x);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_10, 0, __pyx_v_c1x)) __PYX_ERR(0, 723, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_c1y);
    __Pyx_GIVEREF(__pyx_v_c1y);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_10, 1, __pyx_v_c1y)) __PYX_ERR(0, 723, __pyx_L1_error);
    __pyx_t_11 = NULL;
    __pyx_t_12 = 0;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_4))) {
      __pyx_t_11 = PyMethod_GET_SELF(__pyx_t_4);
      if (likely(__pyx_t_11)) {
        PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_4);
        __Pyx_INCREF(__pyx_t_11);
        __Pyx_INCREF(function);
        __Pyx_DECREF_SET(__pyx_t_4, function);
        __pyx_t_12 = 1;
      }
    }
    #endif
    {
      PyObject *__pyx_callargs[4] = {__pyx_t_11, __pyx_t_2, __pyx_t_9, __pyx_t_10};
      __pyx_t_8 = __Pyx_PyObject_FastCall(__pyx_t_4, __pyx_callargs+1-__pyx_t_12, 3+__pyx_t_12);
      __Pyx_XDECREF(__pyx_t_11); __pyx_t_11 = 0;
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
      __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
      __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
      if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 723, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_8);
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    }
    if ((likely(PyTuple_CheckExact(__pyx_t_8))) || (PyList_CheckExact(__pyx_t_8))) {
      PyObject* sequence = __pyx_t_8;
      Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
      if (unlikely(size != 3)) {
        if (size > 3) __Pyx_RaiseTooManyValuesError(3);
        else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
        __PYX_ERR(0, 723, __pyx_L1_error)
      }
      #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
      if (likely(PyTuple_CheckExact(sequence))) {
        __pyx_t_4 = PyTuple_GET_ITEM(sequence, 0); 
        __pyx_t_10 = PyTuple_GET_ITEM(sequence, 1); 
        __pyx_t_9 = PyTuple_GET_ITEM(sequence, 2); 
      } else {
        __pyx_t_4 = PyList_GET_ITEM(sequence, 0); 
        __pyx_t_10 = PyList_GET_ITEM(sequence, 1); 
        __pyx_t_9 = PyList_GET_ITEM(sequence, 2); 
      }
      __Pyx_INCREF(__pyx_t_4);
      __Pyx_INCREF(__pyx_t_10);
      __Pyx_INCREF(__pyx_t_9);
      #else
      __pyx_t_4 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 723, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_4);
      __pyx_t_10 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 723, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_10);
      __pyx_t_9 = PySequence_ITEM(sequence, 2); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 723, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_9);
      #endif
      __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
    } else {
      Py_ssize_t index = -1;
      __pyx_t_2 = PyObject_GetIter(__pyx_t_8); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 723, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_2);
      __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
      __pyx_t_5 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_2);
      index = 0; __pyx_t_4 = __pyx_t_5(__pyx_t_2); if (unlikely(!__pyx_t_4)) goto __pyx_L11_unpacking_failed;
      __Pyx_GOTREF(__pyx_t_4);
      index = 1; __pyx_t_10 = __pyx_t_5(__pyx_t_2); if (unlikely(!__pyx_t_10)) goto __pyx_L11_unpacking_failed;
      __Pyx_GOTREF(__pyx_t_10);
      index = 2; __pyx_t_9 = __pyx_t_5(__pyx_t_2); if (unlikely(!__pyx_t_9)) goto __pyx_L11_unpacking_failed;
      __Pyx_GOTREF(__pyx_t_9);
      if (__Pyx_IternextUnpackEndCheck(__pyx_t_5(__pyx_t_2), 3) < 0) __PYX_ERR(0, 723, __pyx_L1_error)
      __pyx_t_5 = NULL;
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
      goto __pyx_L12_unpacking_done;
      __pyx_L11_unpacking_failed:;
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
      __pyx_t_5 = NULL;
      if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
      __PYX_ERR(0, 723, __pyx_L1_error)
      __pyx_L12_unpacking_done:;
    }
    __Pyx_XDECREF_SET(__pyx_v_pt1, __pyx_t_4);
    __pyx_t_4 = 0;
    __Pyx_XDECREF_SET(__pyx_v_pt2, __pyx_t_10);
    __pyx_t_10 = 0;
    __Pyx_XDECREF_SET(__pyx_v_pt3, __pyx_t_9);
    __pyx_t_9 = 0;

    /* "fontTools/misc/bezierTools.py":724
 * 
 *         pt1, pt2, pt3 = calcQuadraticPoints((a1x, a1y), (b1x, b1y), (c1x, c1y))
 *         segments.append((pt1, pt2, pt3))             # <<<<<<<<<<<<<<
 *     return segments
 * 
 */
    __pyx_t_8 = PyTuple_New(3); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 724, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    __Pyx_INCREF(__pyx_v_pt1);
    __Pyx_GIVEREF(__pyx_v_pt1);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_8, 0, __pyx_v_pt1)) __PYX_ERR(0, 724, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_pt2);
    __Pyx_GIVEREF(__pyx_v_pt2);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_8, 1, __pyx_v_pt2)) __PYX_ERR(0, 724, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_pt3);
    __Pyx_GIVEREF(__pyx_v_pt3);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_8, 2, __pyx_v_pt3)) __PYX_ERR(0, 724, __pyx_L1_error);
    __pyx_t_3 = __Pyx_PyList_Append(__pyx_v_segments, __pyx_t_8); if (unlikely(__pyx_t_3 == ((int)-1))) __PYX_ERR(0, 724, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;

    /* "fontTools/misc/bezierTools.py":709
 *     bx, by = b
 *     cx, cy = c
 *     for i in range(len(ts) - 1):             # <<<<<<<<<<<<<<
 *         t1 = ts[i]
 *         t2 = ts[i + 1]
 */
  }
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":725
 *         pt1, pt2, pt3 = calcQuadraticPoints((a1x, a1y), (b1x, b1y), (c1x, c1y))
 *         segments.append((pt1, pt2, pt3))
 *     return segments             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __Pyx_XDECREF(__pyx_r);
  __Pyx_INCREF(__pyx_v_segments);
  __pyx_r = __pyx_v_segments;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":701
 * 
 * 
 * def _splitQuadraticAtT(a, b, c, *ts):             # <<<<<<<<<<<<<<
 *     ts = list(ts)
 *     segments = []
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_8);
  __Pyx_XDECREF(__pyx_t_9);
  __Pyx_XDECREF(__pyx_t_10);
  __Pyx_XDECREF(__pyx_t_11);
  __Pyx_AddTraceback("fontTools.misc.bezierTools._splitQuadraticAtT", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_ts);
  __Pyx_XDECREF(__pyx_v_segments);
  __Pyx_XDECREF(__pyx_v_ax);
  __Pyx_XDECREF(__pyx_v_ay);
  __Pyx_XDECREF(__pyx_v_bx);
  __Pyx_XDECREF(__pyx_v_by);
  __Pyx_XDECREF(__pyx_v_cx);
  __Pyx_XDECREF(__pyx_v_cy);
  __Pyx_XDECREF(__pyx_v_i);
  __Pyx_XDECREF(__pyx_v_t1);
  __Pyx_XDECREF(__pyx_v_t2);
  __Pyx_XDECREF(__pyx_v_delta);
  __Pyx_XDECREF(__pyx_v_delta_2);
  __Pyx_XDECREF(__pyx_v_a1x);
  __Pyx_XDECREF(__pyx_v_a1y);
  __Pyx_XDECREF(__pyx_v_b1x);
  __Pyx_XDECREF(__pyx_v_b1y);
  __Pyx_XDECREF(__pyx_v_t1_2);
  __Pyx_XDECREF(__pyx_v_c1x);
  __Pyx_XDECREF(__pyx_v_c1y);
  __Pyx_XDECREF(__pyx_v_pt1);
  __Pyx_XDECREF(__pyx_v_pt2);
  __Pyx_XDECREF(__pyx_v_pt3);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":728
 * 
 * 
 * def _splitCubicAtT(a, b, c, d, *ts):             # <<<<<<<<<<<<<<
 *     ts = list(ts)
 *     ts.insert(0, 0.0)
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_42_splitCubicAtT(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_41_splitCubicAtT, "_splitCubicAtT(a, b, c, d, *ts)");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_42_splitCubicAtT = {"_splitCubicAtT", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_42_splitCubicAtT, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_41_splitCubicAtT};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_42_splitCubicAtT(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_a = 0;
  PyObject *__pyx_v_b = 0;
  PyObject *__pyx_v_c = 0;
  PyObject *__pyx_v_d = 0;
  PyObject *__pyx_v_ts = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[4] = {0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("_splitCubicAtT (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  __pyx_v_ts = __Pyx_ArgsSlice_FASTCALL(__pyx_args, 4, __pyx_nargs);
  if (unlikely(!__pyx_v_ts)) {
    __Pyx_RefNannyFinishContext();
    return NULL;
  }
  __Pyx_GOTREF(__pyx_v_ts);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_a,&__pyx_n_s_b,&__pyx_n_s_c,&__pyx_n_s_d,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        default:
        case  4: values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_a)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 728, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_b)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[1]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 728, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("_splitCubicAtT", 0, 4, 4, 1); __PYX_ERR(0, 728, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_c)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[2]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 728, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("_splitCubicAtT", 0, 4, 4, 2); __PYX_ERR(0, 728, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  3:
        if (likely((values[3] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_d)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[3]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 728, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("_splitCubicAtT", 0, 4, 4, 3); __PYX_ERR(0, 728, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        const Py_ssize_t used_pos_args = (kwd_pos_args < 4) ? kwd_pos_args : 4;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, used_pos_args, "_splitCubicAtT") < 0)) __PYX_ERR(0, 728, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs < 4)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
      values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
      values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
      values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
    }
    __pyx_v_a = values[0];
    __pyx_v_b = values[1];
    __pyx_v_c = values[2];
    __pyx_v_d = values[3];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("_splitCubicAtT", 0, 4, 4, __pyx_nargs); __PYX_ERR(0, 728, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_DECREF(__pyx_v_ts); __pyx_v_ts = 0;
  __Pyx_AddTraceback("fontTools.misc.bezierTools._splitCubicAtT", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_41_splitCubicAtT(__pyx_self, __pyx_v_a, __pyx_v_b, __pyx_v_c, __pyx_v_d, __pyx_v_ts);

  /* function exit code */
  __Pyx_DECREF(__pyx_v_ts);
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_41_splitCubicAtT(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_a, PyObject *__pyx_v_b, PyObject *__pyx_v_c, PyObject *__pyx_v_d, PyObject *__pyx_v_ts) {
  PyObject *__pyx_v_segments = NULL;
  PyObject *__pyx_v_ax = NULL;
  PyObject *__pyx_v_ay = NULL;
  PyObject *__pyx_v_bx = NULL;
  PyObject *__pyx_v_by = NULL;
  PyObject *__pyx_v_cx = NULL;
  PyObject *__pyx_v_cy = NULL;
  PyObject *__pyx_v_dx = NULL;
  PyObject *__pyx_v_dy = NULL;
  PyObject *__pyx_v_i = NULL;
  PyObject *__pyx_v_t1 = NULL;
  PyObject *__pyx_v_t2 = NULL;
  PyObject *__pyx_v_delta = NULL;
  PyObject *__pyx_v_delta_2 = NULL;
  PyObject *__pyx_v_delta_3 = NULL;
  PyObject *__pyx_v_t1_2 = NULL;
  PyObject *__pyx_v_t1_3 = NULL;
  PyObject *__pyx_v_a1x = NULL;
  PyObject *__pyx_v_a1y = NULL;
  PyObject *__pyx_v_b1x = NULL;
  PyObject *__pyx_v_b1y = NULL;
  PyObject *__pyx_v_c1x = NULL;
  PyObject *__pyx_v_c1y = NULL;
  PyObject *__pyx_v_d1x = NULL;
  PyObject *__pyx_v_d1y = NULL;
  PyObject *__pyx_v_pt1 = NULL;
  PyObject *__pyx_v_pt2 = NULL;
  PyObject *__pyx_v_pt3 = NULL;
  PyObject *__pyx_v_pt4 = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  int __pyx_t_3;
  PyObject *__pyx_t_4 = NULL;
  PyObject *(*__pyx_t_5)(PyObject *);
  Py_ssize_t __pyx_t_6;
  PyObject *(*__pyx_t_7)(PyObject *);
  PyObject *__pyx_t_8 = NULL;
  PyObject *__pyx_t_9 = NULL;
  PyObject *__pyx_t_10 = NULL;
  PyObject *__pyx_t_11 = NULL;
  PyObject *__pyx_t_12 = NULL;
  int __pyx_t_13;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("_splitCubicAtT", 0);
  __Pyx_INCREF(__pyx_v_ts);

  /* "fontTools/misc/bezierTools.py":729
 * 
 * def _splitCubicAtT(a, b, c, d, *ts):
 *     ts = list(ts)             # <<<<<<<<<<<<<<
 *     ts.insert(0, 0.0)
 *     ts.append(1.0)
 */
  __pyx_t_1 = PySequence_List(__pyx_v_ts); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 729, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF_SET(__pyx_v_ts, __pyx_t_1);
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":730
 * def _splitCubicAtT(a, b, c, d, *ts):
 *     ts = list(ts)
 *     ts.insert(0, 0.0)             # <<<<<<<<<<<<<<
 *     ts.append(1.0)
 *     segments = []
 */
  __pyx_t_1 = __Pyx_PyObject_GetAttrStr(__pyx_v_ts, __pyx_n_s_insert); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 730, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __Pyx_PyObject_Call(__pyx_t_1, __pyx_tuple__2, NULL); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 730, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":731
 *     ts = list(ts)
 *     ts.insert(0, 0.0)
 *     ts.append(1.0)             # <<<<<<<<<<<<<<
 *     segments = []
 *     ax, ay = a
 */
  __pyx_t_3 = __Pyx_PyObject_Append(__pyx_v_ts, __pyx_float_1_0); if (unlikely(__pyx_t_3 == ((int)-1))) __PYX_ERR(0, 731, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":732
 *     ts.insert(0, 0.0)
 *     ts.append(1.0)
 *     segments = []             # <<<<<<<<<<<<<<
 *     ax, ay = a
 *     bx, by = b
 */
  __pyx_t_2 = PyList_New(0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 732, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_v_segments = ((PyObject*)__pyx_t_2);
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":733
 *     ts.append(1.0)
 *     segments = []
 *     ax, ay = a             # <<<<<<<<<<<<<<
 *     bx, by = b
 *     cx, cy = c
 */
  if ((likely(PyTuple_CheckExact(__pyx_v_a))) || (PyList_CheckExact(__pyx_v_a))) {
    PyObject* sequence = __pyx_v_a;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 733, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 1); 
    } else {
      __pyx_t_2 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_1 = PyList_GET_ITEM(sequence, 1); 
    }
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx_t_1);
    #else
    __pyx_t_2 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 733, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 733, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_4 = PyObject_GetIter(__pyx_v_a); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 733, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_5 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_4);
    index = 0; __pyx_t_2 = __pyx_t_5(__pyx_t_4); if (unlikely(!__pyx_t_2)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    index = 1; __pyx_t_1 = __pyx_t_5(__pyx_t_4); if (unlikely(!__pyx_t_1)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_5(__pyx_t_4), 2) < 0) __PYX_ERR(0, 733, __pyx_L1_error)
    __pyx_t_5 = NULL;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    goto __pyx_L4_unpacking_done;
    __pyx_L3_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __pyx_t_5 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 733, __pyx_L1_error)
    __pyx_L4_unpacking_done:;
  }
  __pyx_v_ax = __pyx_t_2;
  __pyx_t_2 = 0;
  __pyx_v_ay = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":734
 *     segments = []
 *     ax, ay = a
 *     bx, by = b             # <<<<<<<<<<<<<<
 *     cx, cy = c
 *     dx, dy = d
 */
  if ((likely(PyTuple_CheckExact(__pyx_v_b))) || (PyList_CheckExact(__pyx_v_b))) {
    PyObject* sequence = __pyx_v_b;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 734, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 1); 
    } else {
      __pyx_t_1 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_2 = PyList_GET_ITEM(sequence, 1); 
    }
    __Pyx_INCREF(__pyx_t_1);
    __Pyx_INCREF(__pyx_t_2);
    #else
    __pyx_t_1 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 734, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 734, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_4 = PyObject_GetIter(__pyx_v_b); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 734, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_5 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_4);
    index = 0; __pyx_t_1 = __pyx_t_5(__pyx_t_4); if (unlikely(!__pyx_t_1)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    index = 1; __pyx_t_2 = __pyx_t_5(__pyx_t_4); if (unlikely(!__pyx_t_2)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_5(__pyx_t_4), 2) < 0) __PYX_ERR(0, 734, __pyx_L1_error)
    __pyx_t_5 = NULL;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    goto __pyx_L6_unpacking_done;
    __pyx_L5_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __pyx_t_5 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 734, __pyx_L1_error)
    __pyx_L6_unpacking_done:;
  }
  __pyx_v_bx = __pyx_t_1;
  __pyx_t_1 = 0;
  __pyx_v_by = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":735
 *     ax, ay = a
 *     bx, by = b
 *     cx, cy = c             # <<<<<<<<<<<<<<
 *     dx, dy = d
 *     for i in range(len(ts) - 1):
 */
  if ((likely(PyTuple_CheckExact(__pyx_v_c))) || (PyList_CheckExact(__pyx_v_c))) {
    PyObject* sequence = __pyx_v_c;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 735, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 1); 
    } else {
      __pyx_t_2 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_1 = PyList_GET_ITEM(sequence, 1); 
    }
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx_t_1);
    #else
    __pyx_t_2 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 735, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 735, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_4 = PyObject_GetIter(__pyx_v_c); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 735, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_5 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_4);
    index = 0; __pyx_t_2 = __pyx_t_5(__pyx_t_4); if (unlikely(!__pyx_t_2)) goto __pyx_L7_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    index = 1; __pyx_t_1 = __pyx_t_5(__pyx_t_4); if (unlikely(!__pyx_t_1)) goto __pyx_L7_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_5(__pyx_t_4), 2) < 0) __PYX_ERR(0, 735, __pyx_L1_error)
    __pyx_t_5 = NULL;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    goto __pyx_L8_unpacking_done;
    __pyx_L7_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __pyx_t_5 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 735, __pyx_L1_error)
    __pyx_L8_unpacking_done:;
  }
  __pyx_v_cx = __pyx_t_2;
  __pyx_t_2 = 0;
  __pyx_v_cy = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":736
 *     bx, by = b
 *     cx, cy = c
 *     dx, dy = d             # <<<<<<<<<<<<<<
 *     for i in range(len(ts) - 1):
 *         t1 = ts[i]
 */
  if ((likely(PyTuple_CheckExact(__pyx_v_d))) || (PyList_CheckExact(__pyx_v_d))) {
    PyObject* sequence = __pyx_v_d;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 736, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 1); 
    } else {
      __pyx_t_1 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_2 = PyList_GET_ITEM(sequence, 1); 
    }
    __Pyx_INCREF(__pyx_t_1);
    __Pyx_INCREF(__pyx_t_2);
    #else
    __pyx_t_1 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 736, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 736, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_4 = PyObject_GetIter(__pyx_v_d); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 736, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_5 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_4);
    index = 0; __pyx_t_1 = __pyx_t_5(__pyx_t_4); if (unlikely(!__pyx_t_1)) goto __pyx_L9_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    index = 1; __pyx_t_2 = __pyx_t_5(__pyx_t_4); if (unlikely(!__pyx_t_2)) goto __pyx_L9_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_5(__pyx_t_4), 2) < 0) __PYX_ERR(0, 736, __pyx_L1_error)
    __pyx_t_5 = NULL;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    goto __pyx_L10_unpacking_done;
    __pyx_L9_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __pyx_t_5 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 736, __pyx_L1_error)
    __pyx_L10_unpacking_done:;
  }
  __pyx_v_dx = __pyx_t_1;
  __pyx_t_1 = 0;
  __pyx_v_dy = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":737
 *     cx, cy = c
 *     dx, dy = d
 *     for i in range(len(ts) - 1):             # <<<<<<<<<<<<<<
 *         t1 = ts[i]
 *         t2 = ts[i + 1]
 */
  __pyx_t_6 = PyObject_Length(__pyx_v_ts); if (unlikely(__pyx_t_6 == ((Py_ssize_t)-1))) __PYX_ERR(0, 737, __pyx_L1_error)
  __pyx_t_2 = PyInt_FromSsize_t((__pyx_t_6 - 1)); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 737, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_1 = __Pyx_PyObject_CallOneArg(__pyx_builtin_range, __pyx_t_2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 737, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  if (likely(PyList_CheckExact(__pyx_t_1)) || PyTuple_CheckExact(__pyx_t_1)) {
    __pyx_t_2 = __pyx_t_1; __Pyx_INCREF(__pyx_t_2);
    __pyx_t_6 = 0;
    __pyx_t_7 = NULL;
  } else {
    __pyx_t_6 = -1; __pyx_t_2 = PyObject_GetIter(__pyx_t_1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 737, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_7 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_2); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 737, __pyx_L1_error)
  }
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  for (;;) {
    if (likely(!__pyx_t_7)) {
      if (likely(PyList_CheckExact(__pyx_t_2))) {
        {
          Py_ssize_t __pyx_temp = __Pyx_PyList_GET_SIZE(__pyx_t_2);
          #if !CYTHON_ASSUME_SAFE_MACROS
          if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 737, __pyx_L1_error)
          #endif
          if (__pyx_t_6 >= __pyx_temp) break;
        }
        #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
        __pyx_t_1 = PyList_GET_ITEM(__pyx_t_2, __pyx_t_6); __Pyx_INCREF(__pyx_t_1); __pyx_t_6++; if (unlikely((0 < 0))) __PYX_ERR(0, 737, __pyx_L1_error)
        #else
        __pyx_t_1 = __Pyx_PySequence_ITEM(__pyx_t_2, __pyx_t_6); __pyx_t_6++; if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 737, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_1);
        #endif
      } else {
        {
          Py_ssize_t __pyx_temp = __Pyx_PyTuple_GET_SIZE(__pyx_t_2);
          #if !CYTHON_ASSUME_SAFE_MACROS
          if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 737, __pyx_L1_error)
          #endif
          if (__pyx_t_6 >= __pyx_temp) break;
        }
        #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
        __pyx_t_1 = PyTuple_GET_ITEM(__pyx_t_2, __pyx_t_6); __Pyx_INCREF(__pyx_t_1); __pyx_t_6++; if (unlikely((0 < 0))) __PYX_ERR(0, 737, __pyx_L1_error)
        #else
        __pyx_t_1 = __Pyx_PySequence_ITEM(__pyx_t_2, __pyx_t_6); __pyx_t_6++; if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 737, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_1);
        #endif
      }
    } else {
      __pyx_t_1 = __pyx_t_7(__pyx_t_2);
      if (unlikely(!__pyx_t_1)) {
        PyObject* exc_type = PyErr_Occurred();
        if (exc_type) {
          if (likely(__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration))) PyErr_Clear();
          else __PYX_ERR(0, 737, __pyx_L1_error)
        }
        break;
      }
      __Pyx_GOTREF(__pyx_t_1);
    }
    __Pyx_XDECREF_SET(__pyx_v_i, __pyx_t_1);
    __pyx_t_1 = 0;

    /* "fontTools/misc/bezierTools.py":738
 *     dx, dy = d
 *     for i in range(len(ts) - 1):
 *         t1 = ts[i]             # <<<<<<<<<<<<<<
 *         t2 = ts[i + 1]
 *         delta = t2 - t1
 */
    __pyx_t_1 = __Pyx_PyObject_GetItem(__pyx_v_ts, __pyx_v_i); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 738, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_XDECREF_SET(__pyx_v_t1, __pyx_t_1);
    __pyx_t_1 = 0;

    /* "fontTools/misc/bezierTools.py":739
 *     for i in range(len(ts) - 1):
 *         t1 = ts[i]
 *         t2 = ts[i + 1]             # <<<<<<<<<<<<<<
 *         delta = t2 - t1
 * 
 */
    __pyx_t_1 = __Pyx_PyInt_AddObjC(__pyx_v_i, __pyx_int_1, 1, 0, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 739, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_4 = __Pyx_PyObject_GetItem(__pyx_v_ts, __pyx_t_1); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 739, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_XDECREF_SET(__pyx_v_t2, __pyx_t_4);
    __pyx_t_4 = 0;

    /* "fontTools/misc/bezierTools.py":740
 *         t1 = ts[i]
 *         t2 = ts[i + 1]
 *         delta = t2 - t1             # <<<<<<<<<<<<<<
 * 
 *         delta_2 = delta * delta
 */
    __pyx_t_4 = PyNumber_Subtract(__pyx_v_t2, __pyx_v_t1); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 740, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_XDECREF_SET(__pyx_v_delta, __pyx_t_4);
    __pyx_t_4 = 0;

    /* "fontTools/misc/bezierTools.py":742
 *         delta = t2 - t1
 * 
 *         delta_2 = delta * delta             # <<<<<<<<<<<<<<
 *         delta_3 = delta * delta_2
 *         t1_2 = t1 * t1
 */
    __pyx_t_4 = PyNumber_Multiply(__pyx_v_delta, __pyx_v_delta); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 742, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_XDECREF_SET(__pyx_v_delta_2, __pyx_t_4);
    __pyx_t_4 = 0;

    /* "fontTools/misc/bezierTools.py":743
 * 
 *         delta_2 = delta * delta
 *         delta_3 = delta * delta_2             # <<<<<<<<<<<<<<
 *         t1_2 = t1 * t1
 *         t1_3 = t1 * t1_2
 */
    __pyx_t_4 = PyNumber_Multiply(__pyx_v_delta, __pyx_v_delta_2); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 743, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_XDECREF_SET(__pyx_v_delta_3, __pyx_t_4);
    __pyx_t_4 = 0;

    /* "fontTools/misc/bezierTools.py":744
 *         delta_2 = delta * delta
 *         delta_3 = delta * delta_2
 *         t1_2 = t1 * t1             # <<<<<<<<<<<<<<
 *         t1_3 = t1 * t1_2
 * 
 */
    __pyx_t_4 = PyNumber_Multiply(__pyx_v_t1, __pyx_v_t1); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 744, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_XDECREF_SET(__pyx_v_t1_2, __pyx_t_4);
    __pyx_t_4 = 0;

    /* "fontTools/misc/bezierTools.py":745
 *         delta_3 = delta * delta_2
 *         t1_2 = t1 * t1
 *         t1_3 = t1 * t1_2             # <<<<<<<<<<<<<<
 * 
 *         # calc new a, b, c and d
 */
    __pyx_t_4 = PyNumber_Multiply(__pyx_v_t1, __pyx_v_t1_2); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 745, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_XDECREF_SET(__pyx_v_t1_3, __pyx_t_4);
    __pyx_t_4 = 0;

    /* "fontTools/misc/bezierTools.py":748
 * 
 *         # calc new a, b, c and d
 *         a1x = ax * delta_3             # <<<<<<<<<<<<<<
 *         a1y = ay * delta_3
 *         b1x = (3 * ax * t1 + bx) * delta_2
 */
    __pyx_t_4 = PyNumber_Multiply(__pyx_v_ax, __pyx_v_delta_3); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 748, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_XDECREF_SET(__pyx_v_a1x, __pyx_t_4);
    __pyx_t_4 = 0;

    /* "fontTools/misc/bezierTools.py":749
 *         # calc new a, b, c and d
 *         a1x = ax * delta_3
 *         a1y = ay * delta_3             # <<<<<<<<<<<<<<
 *         b1x = (3 * ax * t1 + bx) * delta_2
 *         b1y = (3 * ay * t1 + by) * delta_2
 */
    __pyx_t_4 = PyNumber_Multiply(__pyx_v_ay, __pyx_v_delta_3); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 749, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_XDECREF_SET(__pyx_v_a1y, __pyx_t_4);
    __pyx_t_4 = 0;

    /* "fontTools/misc/bezierTools.py":750
 *         a1x = ax * delta_3
 *         a1y = ay * delta_3
 *         b1x = (3 * ax * t1 + bx) * delta_2             # <<<<<<<<<<<<<<
 *         b1y = (3 * ay * t1 + by) * delta_2
 *         c1x = (2 * bx * t1 + cx + 3 * ax * t1_2) * delta
 */
    __pyx_t_4 = __Pyx_PyInt_MultiplyCObj(__pyx_int_3, __pyx_v_ax, 3, 0, 0); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 750, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_1 = PyNumber_Multiply(__pyx_t_4, __pyx_v_t1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 750, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __pyx_t_4 = PyNumber_Add(__pyx_t_1, __pyx_v_bx); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 750, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_1 = PyNumber_Multiply(__pyx_t_4, __pyx_v_delta_2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 750, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __Pyx_XDECREF_SET(__pyx_v_b1x, __pyx_t_1);
    __pyx_t_1 = 0;

    /* "fontTools/misc/bezierTools.py":751
 *         a1y = ay * delta_3
 *         b1x = (3 * ax * t1 + bx) * delta_2
 *         b1y = (3 * ay * t1 + by) * delta_2             # <<<<<<<<<<<<<<
 *         c1x = (2 * bx * t1 + cx + 3 * ax * t1_2) * delta
 *         c1y = (2 * by * t1 + cy + 3 * ay * t1_2) * delta
 */
    __pyx_t_1 = __Pyx_PyInt_MultiplyCObj(__pyx_int_3, __pyx_v_ay, 3, 0, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 751, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_4 = PyNumber_Multiply(__pyx_t_1, __pyx_v_t1); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 751, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_1 = PyNumber_Add(__pyx_t_4, __pyx_v_by); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 751, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __pyx_t_4 = PyNumber_Multiply(__pyx_t_1, __pyx_v_delta_2); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 751, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_XDECREF_SET(__pyx_v_b1y, __pyx_t_4);
    __pyx_t_4 = 0;

    /* "fontTools/misc/bezierTools.py":752
 *         b1x = (3 * ax * t1 + bx) * delta_2
 *         b1y = (3 * ay * t1 + by) * delta_2
 *         c1x = (2 * bx * t1 + cx + 3 * ax * t1_2) * delta             # <<<<<<<<<<<<<<
 *         c1y = (2 * by * t1 + cy + 3 * ay * t1_2) * delta
 *         d1x = ax * t1_3 + bx * t1_2 + cx * t1 + dx
 */
    __pyx_t_4 = __Pyx_PyInt_MultiplyCObj(__pyx_int_2, __pyx_v_bx, 2, 0, 0); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 752, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_1 = PyNumber_Multiply(__pyx_t_4, __pyx_v_t1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 752, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __pyx_t_4 = PyNumber_Add(__pyx_t_1, __pyx_v_cx); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 752, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_1 = __Pyx_PyInt_MultiplyCObj(__pyx_int_3, __pyx_v_ax, 3, 0, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 752, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_8 = PyNumber_Multiply(__pyx_t_1, __pyx_v_t1_2); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 752, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_1 = PyNumber_Add(__pyx_t_4, __pyx_t_8); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 752, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
    __pyx_t_8 = PyNumber_Multiply(__pyx_t_1, __pyx_v_delta); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 752, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_XDECREF_SET(__pyx_v_c1x, __pyx_t_8);
    __pyx_t_8 = 0;

    /* "fontTools/misc/bezierTools.py":753
 *         b1y = (3 * ay * t1 + by) * delta_2
 *         c1x = (2 * bx * t1 + cx + 3 * ax * t1_2) * delta
 *         c1y = (2 * by * t1 + cy + 3 * ay * t1_2) * delta             # <<<<<<<<<<<<<<
 *         d1x = ax * t1_3 + bx * t1_2 + cx * t1 + dx
 *         d1y = ay * t1_3 + by * t1_2 + cy * t1 + dy
 */
    __pyx_t_8 = __Pyx_PyInt_MultiplyCObj(__pyx_int_2, __pyx_v_by, 2, 0, 0); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 753, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    __pyx_t_1 = PyNumber_Multiply(__pyx_t_8, __pyx_v_t1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 753, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
    __pyx_t_8 = PyNumber_Add(__pyx_t_1, __pyx_v_cy); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 753, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_1 = __Pyx_PyInt_MultiplyCObj(__pyx_int_3, __pyx_v_ay, 3, 0, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 753, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_4 = PyNumber_Multiply(__pyx_t_1, __pyx_v_t1_2); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 753, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_1 = PyNumber_Add(__pyx_t_8, __pyx_t_4); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 753, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __pyx_t_4 = PyNumber_Multiply(__pyx_t_1, __pyx_v_delta); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 753, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_XDECREF_SET(__pyx_v_c1y, __pyx_t_4);
    __pyx_t_4 = 0;

    /* "fontTools/misc/bezierTools.py":754
 *         c1x = (2 * bx * t1 + cx + 3 * ax * t1_2) * delta
 *         c1y = (2 * by * t1 + cy + 3 * ay * t1_2) * delta
 *         d1x = ax * t1_3 + bx * t1_2 + cx * t1 + dx             # <<<<<<<<<<<<<<
 *         d1y = ay * t1_3 + by * t1_2 + cy * t1 + dy
 *         pt1, pt2, pt3, pt4 = calcCubicPoints(
 */
    __pyx_t_4 = PyNumber_Multiply(__pyx_v_ax, __pyx_v_t1_3); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 754, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_1 = PyNumber_Multiply(__pyx_v_bx, __pyx_v_t1_2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 754, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_8 = PyNumber_Add(__pyx_t_4, __pyx_t_1); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 754, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_1 = PyNumber_Multiply(__pyx_v_cx, __pyx_v_t1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 754, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_4 = PyNumber_Add(__pyx_t_8, __pyx_t_1); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 754, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_1 = PyNumber_Add(__pyx_t_4, __pyx_v_dx); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 754, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __Pyx_XDECREF_SET(__pyx_v_d1x, __pyx_t_1);
    __pyx_t_1 = 0;

    /* "fontTools/misc/bezierTools.py":755
 *         c1y = (2 * by * t1 + cy + 3 * ay * t1_2) * delta
 *         d1x = ax * t1_3 + bx * t1_2 + cx * t1 + dx
 *         d1y = ay * t1_3 + by * t1_2 + cy * t1 + dy             # <<<<<<<<<<<<<<
 *         pt1, pt2, pt3, pt4 = calcCubicPoints(
 *             (a1x, a1y), (b1x, b1y), (c1x, c1y), (d1x, d1y)
 */
    __pyx_t_1 = PyNumber_Multiply(__pyx_v_ay, __pyx_v_t1_3); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 755, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_4 = PyNumber_Multiply(__pyx_v_by, __pyx_v_t1_2); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 755, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_8 = PyNumber_Add(__pyx_t_1, __pyx_t_4); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 755, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __pyx_t_4 = PyNumber_Multiply(__pyx_v_cy, __pyx_v_t1); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 755, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_1 = PyNumber_Add(__pyx_t_8, __pyx_t_4); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 755, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __pyx_t_4 = PyNumber_Add(__pyx_t_1, __pyx_v_dy); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 755, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_XDECREF_SET(__pyx_v_d1y, __pyx_t_4);
    __pyx_t_4 = 0;

    /* "fontTools/misc/bezierTools.py":756
 *         d1x = ax * t1_3 + bx * t1_2 + cx * t1 + dx
 *         d1y = ay * t1_3 + by * t1_2 + cy * t1 + dy
 *         pt1, pt2, pt3, pt4 = calcCubicPoints(             # <<<<<<<<<<<<<<
 *             (a1x, a1y), (b1x, b1y), (c1x, c1y), (d1x, d1y)
 *         )
 */
    __Pyx_GetModuleGlobalName(__pyx_t_1, __pyx_n_s_calcCubicPoints); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 756, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);

    /* "fontTools/misc/bezierTools.py":757
 *         d1y = ay * t1_3 + by * t1_2 + cy * t1 + dy
 *         pt1, pt2, pt3, pt4 = calcCubicPoints(
 *             (a1x, a1y), (b1x, b1y), (c1x, c1y), (d1x, d1y)             # <<<<<<<<<<<<<<
 *         )
 *         segments.append((pt1, pt2, pt3, pt4))
 */
    __pyx_t_8 = PyTuple_New(2); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 757, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    __Pyx_INCREF(__pyx_v_a1x);
    __Pyx_GIVEREF(__pyx_v_a1x);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_8, 0, __pyx_v_a1x)) __PYX_ERR(0, 757, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_a1y);
    __Pyx_GIVEREF(__pyx_v_a1y);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_8, 1, __pyx_v_a1y)) __PYX_ERR(0, 757, __pyx_L1_error);
    __pyx_t_9 = PyTuple_New(2); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 757, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_9);
    __Pyx_INCREF(__pyx_v_b1x);
    __Pyx_GIVEREF(__pyx_v_b1x);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_9, 0, __pyx_v_b1x)) __PYX_ERR(0, 757, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_b1y);
    __Pyx_GIVEREF(__pyx_v_b1y);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_9, 1, __pyx_v_b1y)) __PYX_ERR(0, 757, __pyx_L1_error);
    __pyx_t_10 = PyTuple_New(2); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 757, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_10);
    __Pyx_INCREF(__pyx_v_c1x);
    __Pyx_GIVEREF(__pyx_v_c1x);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_10, 0, __pyx_v_c1x)) __PYX_ERR(0, 757, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_c1y);
    __Pyx_GIVEREF(__pyx_v_c1y);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_10, 1, __pyx_v_c1y)) __PYX_ERR(0, 757, __pyx_L1_error);
    __pyx_t_11 = PyTuple_New(2); if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 757, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_11);
    __Pyx_INCREF(__pyx_v_d1x);
    __Pyx_GIVEREF(__pyx_v_d1x);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_11, 0, __pyx_v_d1x)) __PYX_ERR(0, 757, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_d1y);
    __Pyx_GIVEREF(__pyx_v_d1y);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_11, 1, __pyx_v_d1y)) __PYX_ERR(0, 757, __pyx_L1_error);
    __pyx_t_12 = NULL;
    __pyx_t_13 = 0;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_1))) {
      __pyx_t_12 = PyMethod_GET_SELF(__pyx_t_1);
      if (likely(__pyx_t_12)) {
        PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_1);
        __Pyx_INCREF(__pyx_t_12);
        __Pyx_INCREF(function);
        __Pyx_DECREF_SET(__pyx_t_1, function);
        __pyx_t_13 = 1;
      }
    }
    #endif
    {
      PyObject *__pyx_callargs[5] = {__pyx_t_12, __pyx_t_8, __pyx_t_9, __pyx_t_10, __pyx_t_11};
      __pyx_t_4 = __Pyx_PyObject_FastCall(__pyx_t_1, __pyx_callargs+1-__pyx_t_13, 4+__pyx_t_13);
      __Pyx_XDECREF(__pyx_t_12); __pyx_t_12 = 0;
      __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
      __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
      __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
      __Pyx_DECREF(__pyx_t_11); __pyx_t_11 = 0;
      if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 756, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_4);
      __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    }
    if ((likely(PyTuple_CheckExact(__pyx_t_4))) || (PyList_CheckExact(__pyx_t_4))) {
      PyObject* sequence = __pyx_t_4;
      Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
      if (unlikely(size != 4)) {
        if (size > 4) __Pyx_RaiseTooManyValuesError(4);
        else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
        __PYX_ERR(0, 756, __pyx_L1_error)
      }
      #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
      if (likely(PyTuple_CheckExact(sequence))) {
        __pyx_t_1 = PyTuple_GET_ITEM(sequence, 0); 
        __pyx_t_11 = PyTuple_GET_ITEM(sequence, 1); 
        __pyx_t_10 = PyTuple_GET_ITEM(sequence, 2); 
        __pyx_t_9 = PyTuple_GET_ITEM(sequence, 3); 
      } else {
        __pyx_t_1 = PyList_GET_ITEM(sequence, 0); 
        __pyx_t_11 = PyList_GET_ITEM(sequence, 1); 
        __pyx_t_10 = PyList_GET_ITEM(sequence, 2); 
        __pyx_t_9 = PyList_GET_ITEM(sequence, 3); 
      }
      __Pyx_INCREF(__pyx_t_1);
      __Pyx_INCREF(__pyx_t_11);
      __Pyx_INCREF(__pyx_t_10);
      __Pyx_INCREF(__pyx_t_9);
      #else
      {
        Py_ssize_t i;
        PyObject** temps[4] = {&__pyx_t_1,&__pyx_t_11,&__pyx_t_10,&__pyx_t_9};
        for (i=0; i < 4; i++) {
          PyObject* item = PySequence_ITEM(sequence, i); if (unlikely(!item)) __PYX_ERR(0, 756, __pyx_L1_error)
          __Pyx_GOTREF(item);
          *(temps[i]) = item;
        }
      }
      #endif
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    } else {
      Py_ssize_t index = -1;
      PyObject** temps[4] = {&__pyx_t_1,&__pyx_t_11,&__pyx_t_10,&__pyx_t_9};
      __pyx_t_8 = PyObject_GetIter(__pyx_t_4); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 756, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_8);
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      __pyx_t_5 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_8);
      for (index=0; index < 4; index++) {
        PyObject* item = __pyx_t_5(__pyx_t_8); if (unlikely(!item)) goto __pyx_L13_unpacking_failed;
        __Pyx_GOTREF(item);
        *(temps[index]) = item;
      }
      if (__Pyx_IternextUnpackEndCheck(__pyx_t_5(__pyx_t_8), 4) < 0) __PYX_ERR(0, 756, __pyx_L1_error)
      __pyx_t_5 = NULL;
      __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
      goto __pyx_L14_unpacking_done;
      __pyx_L13_unpacking_failed:;
      __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
      __pyx_t_5 = NULL;
      if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
      __PYX_ERR(0, 756, __pyx_L1_error)
      __pyx_L14_unpacking_done:;
    }

    /* "fontTools/misc/bezierTools.py":756
 *         d1x = ax * t1_3 + bx * t1_2 + cx * t1 + dx
 *         d1y = ay * t1_3 + by * t1_2 + cy * t1 + dy
 *         pt1, pt2, pt3, pt4 = calcCubicPoints(             # <<<<<<<<<<<<<<
 *             (a1x, a1y), (b1x, b1y), (c1x, c1y), (d1x, d1y)
 *         )
 */
    __Pyx_XDECREF_SET(__pyx_v_pt1, __pyx_t_1);
    __pyx_t_1 = 0;
    __Pyx_XDECREF_SET(__pyx_v_pt2, __pyx_t_11);
    __pyx_t_11 = 0;
    __Pyx_XDECREF_SET(__pyx_v_pt3, __pyx_t_10);
    __pyx_t_10 = 0;
    __Pyx_XDECREF_SET(__pyx_v_pt4, __pyx_t_9);
    __pyx_t_9 = 0;

    /* "fontTools/misc/bezierTools.py":759
 *             (a1x, a1y), (b1x, b1y), (c1x, c1y), (d1x, d1y)
 *         )
 *         segments.append((pt1, pt2, pt3, pt4))             # <<<<<<<<<<<<<<
 *     return segments
 * 
 */
    __pyx_t_4 = PyTuple_New(4); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 759, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_INCREF(__pyx_v_pt1);
    __Pyx_GIVEREF(__pyx_v_pt1);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_4, 0, __pyx_v_pt1)) __PYX_ERR(0, 759, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_pt2);
    __Pyx_GIVEREF(__pyx_v_pt2);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_4, 1, __pyx_v_pt2)) __PYX_ERR(0, 759, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_pt3);
    __Pyx_GIVEREF(__pyx_v_pt3);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_4, 2, __pyx_v_pt3)) __PYX_ERR(0, 759, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_pt4);
    __Pyx_GIVEREF(__pyx_v_pt4);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_4, 3, __pyx_v_pt4)) __PYX_ERR(0, 759, __pyx_L1_error);
    __pyx_t_3 = __Pyx_PyList_Append(__pyx_v_segments, __pyx_t_4); if (unlikely(__pyx_t_3 == ((int)-1))) __PYX_ERR(0, 759, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;

    /* "fontTools/misc/bezierTools.py":737
 *     cx, cy = c
 *     dx, dy = d
 *     for i in range(len(ts) - 1):             # <<<<<<<<<<<<<<
 *         t1 = ts[i]
 *         t2 = ts[i + 1]
 */
  }
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":760
 *         )
 *         segments.append((pt1, pt2, pt3, pt4))
 *     return segments             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __Pyx_XDECREF(__pyx_r);
  __Pyx_INCREF(__pyx_v_segments);
  __pyx_r = __pyx_v_segments;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":728
 * 
 * 
 * def _splitCubicAtT(a, b, c, d, *ts):             # <<<<<<<<<<<<<<
 *     ts = list(ts)
 *     ts.insert(0, 0.0)
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_8);
  __Pyx_XDECREF(__pyx_t_9);
  __Pyx_XDECREF(__pyx_t_10);
  __Pyx_XDECREF(__pyx_t_11);
  __Pyx_XDECREF(__pyx_t_12);
  __Pyx_AddTraceback("fontTools.misc.bezierTools._splitCubicAtT", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_ts);
  __Pyx_XDECREF(__pyx_v_segments);
  __Pyx_XDECREF(__pyx_v_ax);
  __Pyx_XDECREF(__pyx_v_ay);
  __Pyx_XDECREF(__pyx_v_bx);
  __Pyx_XDECREF(__pyx_v_by);
  __Pyx_XDECREF(__pyx_v_cx);
  __Pyx_XDECREF(__pyx_v_cy);
  __Pyx_XDECREF(__pyx_v_dx);
  __Pyx_XDECREF(__pyx_v_dy);
  __Pyx_XDECREF(__pyx_v_i);
  __Pyx_XDECREF(__pyx_v_t1);
  __Pyx_XDECREF(__pyx_v_t2);
  __Pyx_XDECREF(__pyx_v_delta);
  __Pyx_XDECREF(__pyx_v_delta_2);
  __Pyx_XDECREF(__pyx_v_delta_3);
  __Pyx_XDECREF(__pyx_v_t1_2);
  __Pyx_XDECREF(__pyx_v_t1_3);
  __Pyx_XDECREF(__pyx_v_a1x);
  __Pyx_XDECREF(__pyx_v_a1y);
  __Pyx_XDECREF(__pyx_v_b1x);
  __Pyx_XDECREF(__pyx_v_b1y);
  __Pyx_XDECREF(__pyx_v_c1x);
  __Pyx_XDECREF(__pyx_v_c1y);
  __Pyx_XDECREF(__pyx_v_d1x);
  __Pyx_XDECREF(__pyx_v_d1y);
  __Pyx_XDECREF(__pyx_v_pt1);
  __Pyx_XDECREF(__pyx_v_pt2);
  __Pyx_XDECREF(__pyx_v_pt3);
  __Pyx_XDECREF(__pyx_v_pt4);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}
static PyObject *__pyx_gb_9fontTools_4misc_11bezierTools_45generator1(__pyx_CoroutineObject *__pyx_generator, CYTHON_UNUSED PyThreadState *__pyx_tstate, PyObject *__pyx_sent_value); /* proto */

/* "fontTools/misc/bezierTools.py":763
 * 
 * 
 * @cython.locals(             # <<<<<<<<<<<<<<
 *     a=cython.complex,
 *     b=cython.complex,
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_44_splitCubicAtTC(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_43_splitCubicAtTC, "_splitCubicAtTC(double complex a, double complex b, double complex c, double complex d, *ts)");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_44_splitCubicAtTC = {"_splitCubicAtTC", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_44_splitCubicAtTC, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_43_splitCubicAtTC};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_44_splitCubicAtTC(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  __pyx_t_double_complex __pyx_v_a;
  __pyx_t_double_complex __pyx_v_b;
  __pyx_t_double_complex __pyx_v_c;
  __pyx_t_double_complex __pyx_v_d;
  PyObject *__pyx_v_ts = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[4] = {0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("_splitCubicAtTC (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  __pyx_v_ts = __Pyx_ArgsSlice_FASTCALL(__pyx_args, 4, __pyx_nargs);
  if (unlikely(!__pyx_v_ts)) {
    __Pyx_RefNannyFinishContext();
    return NULL;
  }
  __Pyx_GOTREF(__pyx_v_ts);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_a,&__pyx_n_s_b,&__pyx_n_s_c,&__pyx_n_s_d,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        default:
        case  4: values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_a)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 763, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_b)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[1]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 763, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("_splitCubicAtTC", 0, 4, 4, 1); __PYX_ERR(0, 763, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_c)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[2]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 763, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("_splitCubicAtTC", 0, 4, 4, 2); __PYX_ERR(0, 763, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  3:
        if (likely((values[3] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_d)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[3]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 763, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("_splitCubicAtTC", 0, 4, 4, 3); __PYX_ERR(0, 763, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        const Py_ssize_t used_pos_args = (kwd_pos_args < 4) ? kwd_pos_args : 4;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, used_pos_args, "_splitCubicAtTC") < 0)) __PYX_ERR(0, 763, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs < 4)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
      values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
      values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
      values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
    }
    __pyx_v_a = __Pyx_PyComplex_As___pyx_t_double_complex(values[0]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 778, __pyx_L3_error)
    __pyx_v_b = __Pyx_PyComplex_As___pyx_t_double_complex(values[1]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 778, __pyx_L3_error)
    __pyx_v_c = __Pyx_PyComplex_As___pyx_t_double_complex(values[2]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 778, __pyx_L3_error)
    __pyx_v_d = __Pyx_PyComplex_As___pyx_t_double_complex(values[3]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 778, __pyx_L3_error)
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("_splitCubicAtTC", 0, 4, 4, __pyx_nargs); __PYX_ERR(0, 763, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_CLEAR(__pyx_v_ts);
  __Pyx_AddTraceback("fontTools.misc.bezierTools._splitCubicAtTC", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_43_splitCubicAtTC(__pyx_self, __pyx_v_a, __pyx_v_b, __pyx_v_c, __pyx_v_d, __pyx_v_ts);

  /* function exit code */
  __Pyx_DECREF(__pyx_v_ts);
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_43_splitCubicAtTC(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_double_complex __pyx_v_a, __pyx_t_double_complex __pyx_v_b, __pyx_t_double_complex __pyx_v_c, __pyx_t_double_complex __pyx_v_d, PyObject *__pyx_v_ts) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC *__pyx_cur_scope;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("_splitCubicAtTC", 0);
  __pyx_cur_scope = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC *)__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC(__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC, __pyx_empty_tuple, NULL);
  if (unlikely(!__pyx_cur_scope)) {
    __pyx_cur_scope = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC *)Py_None);
    __Pyx_INCREF(Py_None);
    __PYX_ERR(0, 763, __pyx_L1_error)
  } else {
    __Pyx_GOTREF((PyObject *)__pyx_cur_scope);
  }
  __pyx_cur_scope->__pyx_v_a = __pyx_v_a;
  __pyx_cur_scope->__pyx_v_b = __pyx_v_b;
  __pyx_cur_scope->__pyx_v_c = __pyx_v_c;
  __pyx_cur_scope->__pyx_v_d = __pyx_v_d;
  __pyx_cur_scope->__pyx_v_ts = __pyx_v_ts;
  __Pyx_INCREF(__pyx_cur_scope->__pyx_v_ts);
  __Pyx_GIVEREF(__pyx_cur_scope->__pyx_v_ts);
  {
    __pyx_CoroutineObject *gen = __Pyx_Generator_New((__pyx_coroutine_body_t) __pyx_gb_9fontTools_4misc_11bezierTools_45generator1, __pyx_codeobj__3, (PyObject *) __pyx_cur_scope, __pyx_n_s_splitCubicAtTC_2, __pyx_n_s_splitCubicAtTC_2, __pyx_n_s_fontTools_misc_bezierTools); if (unlikely(!gen)) __PYX_ERR(0, 763, __pyx_L1_error)
    __Pyx_DECREF(__pyx_cur_scope);
    __Pyx_RefNannyFinishContext();
    return (PyObject *) gen;
  }

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_AddTraceback("fontTools.misc.bezierTools._splitCubicAtTC", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __Pyx_DECREF((PyObject *)__pyx_cur_scope);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_gb_9fontTools_4misc_11bezierTools_45generator1(__pyx_CoroutineObject *__pyx_generator, CYTHON_UNUSED PyThreadState *__pyx_tstate, PyObject *__pyx_sent_value) /* generator body */
{
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC *__pyx_cur_scope = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC *)__pyx_generator->closure);
  PyObject *__pyx_r = NULL;
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  int __pyx_t_3;
  Py_ssize_t __pyx_t_4;
  PyObject *(*__pyx_t_5)(PyObject *);
  double __pyx_t_6;
  PyObject *__pyx_t_7 = NULL;
  PyObject *__pyx_t_8 = NULL;
  PyObject *__pyx_t_9 = NULL;
  PyObject *__pyx_t_10 = NULL;
  PyObject *__pyx_t_11 = NULL;
  PyObject *(*__pyx_t_12)(PyObject *);
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("_splitCubicAtTC", 0);
  switch (__pyx_generator->resume_label) {
    case 0: goto __pyx_L3_first_run;
    case 1: goto __pyx_L8_resume_from_yield;
    default: /* CPython raises the right error here */
    __Pyx_RefNannyFinishContext();
    return NULL;
  }
  __pyx_L3_first_run:;
  if (unlikely(!__pyx_sent_value)) __PYX_ERR(0, 763, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":779
 * )
 * def _splitCubicAtTC(a, b, c, d, *ts):
 *     ts = list(ts)             # <<<<<<<<<<<<<<
 *     ts.insert(0, 0.0)
 *     ts.append(1.0)
 */
  __pyx_t_1 = PySequence_List(__pyx_cur_scope->__pyx_v_ts); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 779, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_GOTREF(__pyx_cur_scope->__pyx_v_ts);
  __Pyx_DECREF_SET(__pyx_cur_scope->__pyx_v_ts, __pyx_t_1);
  __Pyx_GIVEREF(__pyx_t_1);
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":780
 * def _splitCubicAtTC(a, b, c, d, *ts):
 *     ts = list(ts)
 *     ts.insert(0, 0.0)             # <<<<<<<<<<<<<<
 *     ts.append(1.0)
 *     for i in range(len(ts) - 1):
 */
  __pyx_t_1 = __Pyx_PyObject_GetAttrStr(__pyx_cur_scope->__pyx_v_ts, __pyx_n_s_insert); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 780, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __Pyx_PyObject_Call(__pyx_t_1, __pyx_tuple__2, NULL); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 780, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":781
 *     ts = list(ts)
 *     ts.insert(0, 0.0)
 *     ts.append(1.0)             # <<<<<<<<<<<<<<
 *     for i in range(len(ts) - 1):
 *         t1 = ts[i]
 */
  __pyx_t_3 = __Pyx_PyObject_Append(__pyx_cur_scope->__pyx_v_ts, __pyx_float_1_0); if (unlikely(__pyx_t_3 == ((int)-1))) __PYX_ERR(0, 781, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":782
 *     ts.insert(0, 0.0)
 *     ts.append(1.0)
 *     for i in range(len(ts) - 1):             # <<<<<<<<<<<<<<
 *         t1 = ts[i]
 *         t2 = ts[i + 1]
 */
  __pyx_t_4 = PyObject_Length(__pyx_cur_scope->__pyx_v_ts); if (unlikely(__pyx_t_4 == ((Py_ssize_t)-1))) __PYX_ERR(0, 782, __pyx_L1_error)
  __pyx_t_2 = PyInt_FromSsize_t((__pyx_t_4 - 1)); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 782, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_1 = __Pyx_PyObject_CallOneArg(__pyx_builtin_range, __pyx_t_2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 782, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  if (likely(PyList_CheckExact(__pyx_t_1)) || PyTuple_CheckExact(__pyx_t_1)) {
    __pyx_t_2 = __pyx_t_1; __Pyx_INCREF(__pyx_t_2);
    __pyx_t_4 = 0;
    __pyx_t_5 = NULL;
  } else {
    __pyx_t_4 = -1; __pyx_t_2 = PyObject_GetIter(__pyx_t_1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 782, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_5 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_2); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 782, __pyx_L1_error)
  }
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  for (;;) {
    if (likely(!__pyx_t_5)) {
      if (likely(PyList_CheckExact(__pyx_t_2))) {
        {
          Py_ssize_t __pyx_temp = __Pyx_PyList_GET_SIZE(__pyx_t_2);
          #if !CYTHON_ASSUME_SAFE_MACROS
          if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 782, __pyx_L1_error)
          #endif
          if (__pyx_t_4 >= __pyx_temp) break;
        }
        #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
        __pyx_t_1 = PyList_GET_ITEM(__pyx_t_2, __pyx_t_4); __Pyx_INCREF(__pyx_t_1); __pyx_t_4++; if (unlikely((0 < 0))) __PYX_ERR(0, 782, __pyx_L1_error)
        #else
        __pyx_t_1 = __Pyx_PySequence_ITEM(__pyx_t_2, __pyx_t_4); __pyx_t_4++; if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 782, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_1);
        #endif
      } else {
        {
          Py_ssize_t __pyx_temp = __Pyx_PyTuple_GET_SIZE(__pyx_t_2);
          #if !CYTHON_ASSUME_SAFE_MACROS
          if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 782, __pyx_L1_error)
          #endif
          if (__pyx_t_4 >= __pyx_temp) break;
        }
        #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
        __pyx_t_1 = PyTuple_GET_ITEM(__pyx_t_2, __pyx_t_4); __Pyx_INCREF(__pyx_t_1); __pyx_t_4++; if (unlikely((0 < 0))) __PYX_ERR(0, 782, __pyx_L1_error)
        #else
        __pyx_t_1 = __Pyx_PySequence_ITEM(__pyx_t_2, __pyx_t_4); __pyx_t_4++; if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 782, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_1);
        #endif
      }
    } else {
      __pyx_t_1 = __pyx_t_5(__pyx_t_2);
      if (unlikely(!__pyx_t_1)) {
        PyObject* exc_type = PyErr_Occurred();
        if (exc_type) {
          if (likely(__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration))) PyErr_Clear();
          else __PYX_ERR(0, 782, __pyx_L1_error)
        }
        break;
      }
      __Pyx_GOTREF(__pyx_t_1);
    }
    __Pyx_XGOTREF(__pyx_cur_scope->__pyx_v_i);
    __Pyx_XDECREF_SET(__pyx_cur_scope->__pyx_v_i, __pyx_t_1);
    __Pyx_GIVEREF(__pyx_t_1);
    __pyx_t_1 = 0;

    /* "fontTools/misc/bezierTools.py":783
 *     ts.append(1.0)
 *     for i in range(len(ts) - 1):
 *         t1 = ts[i]             # <<<<<<<<<<<<<<
 *         t2 = ts[i + 1]
 *         delta = t2 - t1
 */
    __pyx_t_1 = __Pyx_PyObject_GetItem(__pyx_cur_scope->__pyx_v_ts, __pyx_cur_scope->__pyx_v_i); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 783, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_6 = __pyx_PyFloat_AsDouble(__pyx_t_1); if (unlikely((__pyx_t_6 == (double)-1) && PyErr_Occurred())) __PYX_ERR(0, 783, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_cur_scope->__pyx_v_t1 = __pyx_t_6;

    /* "fontTools/misc/bezierTools.py":784
 *     for i in range(len(ts) - 1):
 *         t1 = ts[i]
 *         t2 = ts[i + 1]             # <<<<<<<<<<<<<<
 *         delta = t2 - t1
 * 
 */
    __pyx_t_1 = __Pyx_PyInt_AddObjC(__pyx_cur_scope->__pyx_v_i, __pyx_int_1, 1, 0, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 784, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_7 = __Pyx_PyObject_GetItem(__pyx_cur_scope->__pyx_v_ts, __pyx_t_1); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 784, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_6 = __pyx_PyFloat_AsDouble(__pyx_t_7); if (unlikely((__pyx_t_6 == (double)-1) && PyErr_Occurred())) __PYX_ERR(0, 784, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    __pyx_cur_scope->__pyx_v_t2 = __pyx_t_6;

    /* "fontTools/misc/bezierTools.py":785
 *         t1 = ts[i]
 *         t2 = ts[i + 1]
 *         delta = t2 - t1             # <<<<<<<<<<<<<<
 * 
 *         delta_2 = delta * delta
 */
    __pyx_cur_scope->__pyx_v_delta = (__pyx_cur_scope->__pyx_v_t2 - __pyx_cur_scope->__pyx_v_t1);

    /* "fontTools/misc/bezierTools.py":787
 *         delta = t2 - t1
 * 
 *         delta_2 = delta * delta             # <<<<<<<<<<<<<<
 *         delta_3 = delta * delta_2
 *         t1_2 = t1 * t1
 */
    __pyx_cur_scope->__pyx_v_delta_2 = (__pyx_cur_scope->__pyx_v_delta * __pyx_cur_scope->__pyx_v_delta);

    /* "fontTools/misc/bezierTools.py":788
 * 
 *         delta_2 = delta * delta
 *         delta_3 = delta * delta_2             # <<<<<<<<<<<<<<
 *         t1_2 = t1 * t1
 *         t1_3 = t1 * t1_2
 */
    __pyx_cur_scope->__pyx_v_delta_3 = (__pyx_cur_scope->__pyx_v_delta * __pyx_cur_scope->__pyx_v_delta_2);

    /* "fontTools/misc/bezierTools.py":789
 *         delta_2 = delta * delta
 *         delta_3 = delta * delta_2
 *         t1_2 = t1 * t1             # <<<<<<<<<<<<<<
 *         t1_3 = t1 * t1_2
 * 
 */
    __pyx_cur_scope->__pyx_v_t1_2 = (__pyx_cur_scope->__pyx_v_t1 * __pyx_cur_scope->__pyx_v_t1);

    /* "fontTools/misc/bezierTools.py":790
 *         delta_3 = delta * delta_2
 *         t1_2 = t1 * t1
 *         t1_3 = t1 * t1_2             # <<<<<<<<<<<<<<
 * 
 *         # calc new a, b, c and d
 */
    __pyx_cur_scope->__pyx_v_t1_3 = (__pyx_cur_scope->__pyx_v_t1 * __pyx_cur_scope->__pyx_v_t1_2);

    /* "fontTools/misc/bezierTools.py":793
 * 
 *         # calc new a, b, c and d
 *         a1 = a * delta_3             # <<<<<<<<<<<<<<
 *         b1 = (3 * a * t1 + b) * delta_2
 *         c1 = (2 * b * t1 + c + 3 * a * t1_2) * delta
 */
    __pyx_cur_scope->__pyx_v_a1 = __Pyx_c_prod_double(__pyx_cur_scope->__pyx_v_a, __pyx_t_double_complex_from_parts(__pyx_cur_scope->__pyx_v_delta_3, 0));

    /* "fontTools/misc/bezierTools.py":794
 *         # calc new a, b, c and d
 *         a1 = a * delta_3
 *         b1 = (3 * a * t1 + b) * delta_2             # <<<<<<<<<<<<<<
 *         c1 = (2 * b * t1 + c + 3 * a * t1_2) * delta
 *         d1 = a * t1_3 + b * t1_2 + c * t1 + d
 */
    __pyx_cur_scope->__pyx_v_b1 = __Pyx_c_prod_double(__Pyx_c_sum_double(__Pyx_c_prod_double(__Pyx_c_prod_double(__pyx_t_double_complex_from_parts(3, 0), __pyx_cur_scope->__pyx_v_a), __pyx_t_double_complex_from_parts(__pyx_cur_scope->__pyx_v_t1, 0)), __pyx_cur_scope->__pyx_v_b), __pyx_t_double_complex_from_parts(__pyx_cur_scope->__pyx_v_delta_2, 0));

    /* "fontTools/misc/bezierTools.py":795
 *         a1 = a * delta_3
 *         b1 = (3 * a * t1 + b) * delta_2
 *         c1 = (2 * b * t1 + c + 3 * a * t1_2) * delta             # <<<<<<<<<<<<<<
 *         d1 = a * t1_3 + b * t1_2 + c * t1 + d
 *         pt1, pt2, pt3, pt4 = calcCubicPointsC(a1, b1, c1, d1)
 */
    __pyx_cur_scope->__pyx_v_c1 = __Pyx_c_prod_double(__Pyx_c_sum_double(__Pyx_c_sum_double(__Pyx_c_prod_double(__Pyx_c_prod_double(__pyx_t_double_complex_from_parts(2, 0), __pyx_cur_scope->__pyx_v_b), __pyx_t_double_complex_from_parts(__pyx_cur_scope->__pyx_v_t1, 0)), __pyx_cur_scope->__pyx_v_c), __Pyx_c_prod_double(__Pyx_c_prod_double(__pyx_t_double_complex_from_parts(3, 0), __pyx_cur_scope->__pyx_v_a), __pyx_t_double_complex_from_parts(__pyx_cur_scope->__pyx_v_t1_2, 0))), __pyx_t_double_complex_from_parts(__pyx_cur_scope->__pyx_v_delta, 0));

    /* "fontTools/misc/bezierTools.py":796
 *         b1 = (3 * a * t1 + b) * delta_2
 *         c1 = (2 * b * t1 + c + 3 * a * t1_2) * delta
 *         d1 = a * t1_3 + b * t1_2 + c * t1 + d             # <<<<<<<<<<<<<<
 *         pt1, pt2, pt3, pt4 = calcCubicPointsC(a1, b1, c1, d1)
 *         yield (pt1, pt2, pt3, pt4)
 */
    __pyx_cur_scope->__pyx_v_d1 = __Pyx_c_sum_double(__Pyx_c_sum_double(__Pyx_c_sum_double(__Pyx_c_prod_double(__pyx_cur_scope->__pyx_v_a, __pyx_t_double_complex_from_parts(__pyx_cur_scope->__pyx_v_t1_3, 0)), __Pyx_c_prod_double(__pyx_cur_scope->__pyx_v_b, __pyx_t_double_complex_from_parts(__pyx_cur_scope->__pyx_v_t1_2, 0))), __Pyx_c_prod_double(__pyx_cur_scope->__pyx_v_c, __pyx_t_double_complex_from_parts(__pyx_cur_scope->__pyx_v_t1, 0))), __pyx_cur_scope->__pyx_v_d);

    /* "fontTools/misc/bezierTools.py":797
 *         c1 = (2 * b * t1 + c + 3 * a * t1_2) * delta
 *         d1 = a * t1_3 + b * t1_2 + c * t1 + d
 *         pt1, pt2, pt3, pt4 = calcCubicPointsC(a1, b1, c1, d1)             # <<<<<<<<<<<<<<
 *         yield (pt1, pt2, pt3, pt4)
 * 
 */
    __pyx_t_7 = __pyx_f_9fontTools_4misc_11bezierTools_calcCubicPointsC(__pyx_cur_scope->__pyx_v_a1, __pyx_cur_scope->__pyx_v_b1, __pyx_cur_scope->__pyx_v_c1, __pyx_cur_scope->__pyx_v_d1); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 797, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    if ((likely(PyTuple_CheckExact(__pyx_t_7))) || (PyList_CheckExact(__pyx_t_7))) {
      PyObject* sequence = __pyx_t_7;
      Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
      if (unlikely(size != 4)) {
        if (size > 4) __Pyx_RaiseTooManyValuesError(4);
        else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
        __PYX_ERR(0, 797, __pyx_L1_error)
      }
      #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
      if (likely(PyTuple_CheckExact(sequence))) {
        __pyx_t_1 = PyTuple_GET_ITEM(sequence, 0); 
        __pyx_t_8 = PyTuple_GET_ITEM(sequence, 1); 
        __pyx_t_9 = PyTuple_GET_ITEM(sequence, 2); 
        __pyx_t_10 = PyTuple_GET_ITEM(sequence, 3); 
      } else {
        __pyx_t_1 = PyList_GET_ITEM(sequence, 0); 
        __pyx_t_8 = PyList_GET_ITEM(sequence, 1); 
        __pyx_t_9 = PyList_GET_ITEM(sequence, 2); 
        __pyx_t_10 = PyList_GET_ITEM(sequence, 3); 
      }
      __Pyx_INCREF(__pyx_t_1);
      __Pyx_INCREF(__pyx_t_8);
      __Pyx_INCREF(__pyx_t_9);
      __Pyx_INCREF(__pyx_t_10);
      #else
      {
        Py_ssize_t i;
        PyObject** temps[4] = {&__pyx_t_1,&__pyx_t_8,&__pyx_t_9,&__pyx_t_10};
        for (i=0; i < 4; i++) {
          PyObject* item = PySequence_ITEM(sequence, i); if (unlikely(!item)) __PYX_ERR(0, 797, __pyx_L1_error)
          __Pyx_GOTREF(item);
          *(temps[i]) = item;
        }
      }
      #endif
      __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    } else {
      Py_ssize_t index = -1;
      PyObject** temps[4] = {&__pyx_t_1,&__pyx_t_8,&__pyx_t_9,&__pyx_t_10};
      __pyx_t_11 = PyObject_GetIter(__pyx_t_7); if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 797, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_11);
      __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
      __pyx_t_12 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_11);
      for (index=0; index < 4; index++) {
        PyObject* item = __pyx_t_12(__pyx_t_11); if (unlikely(!item)) goto __pyx_L6_unpacking_failed;
        __Pyx_GOTREF(item);
        *(temps[index]) = item;
      }
      if (__Pyx_IternextUnpackEndCheck(__pyx_t_12(__pyx_t_11), 4) < 0) __PYX_ERR(0, 797, __pyx_L1_error)
      __pyx_t_12 = NULL;
      __Pyx_DECREF(__pyx_t_11); __pyx_t_11 = 0;
      goto __pyx_L7_unpacking_done;
      __pyx_L6_unpacking_failed:;
      __Pyx_DECREF(__pyx_t_11); __pyx_t_11 = 0;
      __pyx_t_12 = NULL;
      if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
      __PYX_ERR(0, 797, __pyx_L1_error)
      __pyx_L7_unpacking_done:;
    }
    __Pyx_XGOTREF(__pyx_cur_scope->__pyx_v_pt1);
    __Pyx_XDECREF_SET(__pyx_cur_scope->__pyx_v_pt1, __pyx_t_1);
    __Pyx_GIVEREF(__pyx_t_1);
    __pyx_t_1 = 0;
    __Pyx_XGOTREF(__pyx_cur_scope->__pyx_v_pt2);
    __Pyx_XDECREF_SET(__pyx_cur_scope->__pyx_v_pt2, __pyx_t_8);
    __Pyx_GIVEREF(__pyx_t_8);
    __pyx_t_8 = 0;
    __Pyx_XGOTREF(__pyx_cur_scope->__pyx_v_pt3);
    __Pyx_XDECREF_SET(__pyx_cur_scope->__pyx_v_pt3, __pyx_t_9);
    __Pyx_GIVEREF(__pyx_t_9);
    __pyx_t_9 = 0;
    __Pyx_XGOTREF(__pyx_cur_scope->__pyx_v_pt4);
    __Pyx_XDECREF_SET(__pyx_cur_scope->__pyx_v_pt4, __pyx_t_10);
    __Pyx_GIVEREF(__pyx_t_10);
    __pyx_t_10 = 0;

    /* "fontTools/misc/bezierTools.py":798
 *         d1 = a * t1_3 + b * t1_2 + c * t1 + d
 *         pt1, pt2, pt3, pt4 = calcCubicPointsC(a1, b1, c1, d1)
 *         yield (pt1, pt2, pt3, pt4)             # <<<<<<<<<<<<<<
 * 
 * 
 */
    __pyx_t_7 = PyTuple_New(4); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 798, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __Pyx_INCREF(__pyx_cur_scope->__pyx_v_pt1);
    __Pyx_GIVEREF(__pyx_cur_scope->__pyx_v_pt1);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_7, 0, __pyx_cur_scope->__pyx_v_pt1)) __PYX_ERR(0, 798, __pyx_L1_error);
    __Pyx_INCREF(__pyx_cur_scope->__pyx_v_pt2);
    __Pyx_GIVEREF(__pyx_cur_scope->__pyx_v_pt2);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_7, 1, __pyx_cur_scope->__pyx_v_pt2)) __PYX_ERR(0, 798, __pyx_L1_error);
    __Pyx_INCREF(__pyx_cur_scope->__pyx_v_pt3);
    __Pyx_GIVEREF(__pyx_cur_scope->__pyx_v_pt3);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_7, 2, __pyx_cur_scope->__pyx_v_pt3)) __PYX_ERR(0, 798, __pyx_L1_error);
    __Pyx_INCREF(__pyx_cur_scope->__pyx_v_pt4);
    __Pyx_GIVEREF(__pyx_cur_scope->__pyx_v_pt4);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_7, 3, __pyx_cur_scope->__pyx_v_pt4)) __PYX_ERR(0, 798, __pyx_L1_error);
    __pyx_r = __pyx_t_7;
    __pyx_t_7 = 0;
    __Pyx_XGIVEREF(__pyx_t_2);
    __pyx_cur_scope->__pyx_t_0 = __pyx_t_2;
    __pyx_cur_scope->__pyx_t_1 = __pyx_t_4;
    __pyx_cur_scope->__pyx_t_2 = __pyx_t_5;
    __Pyx_XGIVEREF(__pyx_r);
    __Pyx_RefNannyFinishContext();
    __Pyx_Coroutine_ResetAndClearException(__pyx_generator);
    /* return from generator, yielding value */
    __pyx_generator->resume_label = 1;
    return __pyx_r;
    __pyx_L8_resume_from_yield:;
    __pyx_t_2 = __pyx_cur_scope->__pyx_t_0;
    __pyx_cur_scope->__pyx_t_0 = 0;
    __Pyx_XGOTREF(__pyx_t_2);
    __pyx_t_4 = __pyx_cur_scope->__pyx_t_1;
    __pyx_t_5 = __pyx_cur_scope->__pyx_t_2;
    if (unlikely(!__pyx_sent_value)) __PYX_ERR(0, 798, __pyx_L1_error)

    /* "fontTools/misc/bezierTools.py":782
 *     ts.insert(0, 0.0)
 *     ts.append(1.0)
 *     for i in range(len(ts) - 1):             # <<<<<<<<<<<<<<
 *         t1 = ts[i]
 *         t2 = ts[i + 1]
 */
  }
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  CYTHON_MAYBE_UNUSED_VAR(__pyx_cur_scope);

  /* "fontTools/misc/bezierTools.py":763
 * 
 * 
 * @cython.locals(             # <<<<<<<<<<<<<<
 *     a=cython.complex,
 *     b=cython.complex,
 */

  /* function exit code */
  PyErr_SetNone(PyExc_StopIteration);
  goto __pyx_L0;
  __pyx_L1_error:;
  __Pyx_Generator_Replace_StopIteration(0);
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_7);
  __Pyx_XDECREF(__pyx_t_8);
  __Pyx_XDECREF(__pyx_t_9);
  __Pyx_XDECREF(__pyx_t_10);
  __Pyx_XDECREF(__pyx_t_11);
  __Pyx_AddTraceback("_splitCubicAtTC", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_r); __pyx_r = 0;
  #if !CYTHON_USE_EXC_INFO_STACK
  __Pyx_Coroutine_ResetAndClearException(__pyx_generator);
  #endif
  __pyx_generator->resume_label = -1;
  __Pyx_Coroutine_clear((PyObject*)__pyx_generator);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":808
 * 
 * 
 * def solveQuadratic(a, b, c, sqrt=sqrt):             # <<<<<<<<<<<<<<
 *     """Solve a quadratic equation.
 * 
 */

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_96__defaults__(CYTHON_UNUSED PyObject *__pyx_self) {
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("__defaults__", 1);
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = PyTuple_New(1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 808, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_INCREF(__Pyx_CyFunction_Defaults(__pyx_defaults, __pyx_self)->__pyx_arg_sqrt);
  __Pyx_GIVEREF(__Pyx_CyFunction_Defaults(__pyx_defaults, __pyx_self)->__pyx_arg_sqrt);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 0, __Pyx_CyFunction_Defaults(__pyx_defaults, __pyx_self)->__pyx_arg_sqrt)) __PYX_ERR(0, 808, __pyx_L1_error);
  __pyx_t_2 = PyTuple_New(2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 808, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_GIVEREF(__pyx_t_1);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_t_1)) __PYX_ERR(0, 808, __pyx_L1_error);
  __Pyx_INCREF(Py_None);
  __Pyx_GIVEREF(Py_None);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 1, Py_None)) __PYX_ERR(0, 808, __pyx_L1_error);
  __pyx_t_1 = 0;
  __pyx_r = __pyx_t_2;
  __pyx_t_2 = 0;
  goto __pyx_L0;

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.__defaults__", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_47solveQuadratic(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_46solveQuadratic, "solveQuadratic(a, b, c, sqrt=sqrt)\nSolve a quadratic equation.\n\n    Solves *a*x*x + b*x + c = 0* where a, b and c are real.\n\n    Args:\n        a: coefficient of *x\302\262*\n        b: coefficient of *x*\n        c: constant term\n\n    Returns:\n        A list of roots. Note that the returned list is neither guaranteed to\n        be sorted nor to contain unique values!\n    ");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_47solveQuadratic = {"solveQuadratic", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_47solveQuadratic, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_46solveQuadratic};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_47solveQuadratic(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_a = 0;
  PyObject *__pyx_v_b = 0;
  PyObject *__pyx_v_c = 0;
  PyObject *__pyx_v_sqrt = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[4] = {0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("solveQuadratic (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_a,&__pyx_n_s_b,&__pyx_n_s_c,&__pyx_n_s_sqrt,0};
    __pyx_defaults *__pyx_dynamic_args = __Pyx_CyFunction_Defaults(__pyx_defaults, __pyx_self);
    values[3] = __Pyx_Arg_NewRef_FASTCALL(__pyx_dynamic_args->__pyx_arg_sqrt);
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  4: values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_a)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 808, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_b)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[1]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 808, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("solveQuadratic", 0, 3, 4, 1); __PYX_ERR(0, 808, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_c)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[2]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 808, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("solveQuadratic", 0, 3, 4, 2); __PYX_ERR(0, 808, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  3:
        if (kw_args > 0) {
          PyObject* value = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_sqrt);
          if (value) { values[3] = __Pyx_Arg_NewRef_FASTCALL(value); kw_args--; }
          else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 808, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "solveQuadratic") < 0)) __PYX_ERR(0, 808, __pyx_L3_error)
      }
    } else {
      switch (__pyx_nargs) {
        case  4: values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
        values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        break;
        default: goto __pyx_L5_argtuple_error;
      }
    }
    __pyx_v_a = values[0];
    __pyx_v_b = values[1];
    __pyx_v_c = values[2];
    __pyx_v_sqrt = values[3];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("solveQuadratic", 0, 3, 4, __pyx_nargs); __PYX_ERR(0, 808, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.solveQuadratic", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_46solveQuadratic(__pyx_self, __pyx_v_a, __pyx_v_b, __pyx_v_c, __pyx_v_sqrt);

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_46solveQuadratic(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_a, PyObject *__pyx_v_b, PyObject *__pyx_v_c, PyObject *__pyx_v_sqrt) {
  PyObject *__pyx_v_roots = NULL;
  PyObject *__pyx_v_DD = NULL;
  PyObject *__pyx_v_rDD = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  int __pyx_t_4;
  int __pyx_t_5;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("solveQuadratic", 1);

  /* "fontTools/misc/bezierTools.py":822
 *         be sorted nor to contain unique values!
 *     """
 *     if abs(a) < epsilon:             # <<<<<<<<<<<<<<
 *         if abs(b) < epsilon:
 *             # We have a non-equation; therefore, we have no valid solution
 */
  __pyx_t_1 = __Pyx_PyNumber_Absolute(__pyx_v_a); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 822, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_epsilon); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 822, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = PyObject_RichCompare(__pyx_t_1, __pyx_t_2, Py_LT); __Pyx_XGOTREF(__pyx_t_3); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 822, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_4 = __Pyx_PyObject_IsTrue(__pyx_t_3); if (unlikely((__pyx_t_4 < 0))) __PYX_ERR(0, 822, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  if (__pyx_t_4) {

    /* "fontTools/misc/bezierTools.py":823
 *     """
 *     if abs(a) < epsilon:
 *         if abs(b) < epsilon:             # <<<<<<<<<<<<<<
 *             # We have a non-equation; therefore, we have no valid solution
 *             roots = []
 */
    __pyx_t_3 = __Pyx_PyNumber_Absolute(__pyx_v_b); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 823, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_epsilon); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 823, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = PyObject_RichCompare(__pyx_t_3, __pyx_t_2, Py_LT); __Pyx_XGOTREF(__pyx_t_1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 823, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_t_4 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely((__pyx_t_4 < 0))) __PYX_ERR(0, 823, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    if (__pyx_t_4) {

      /* "fontTools/misc/bezierTools.py":825
 *         if abs(b) < epsilon:
 *             # We have a non-equation; therefore, we have no valid solution
 *             roots = []             # <<<<<<<<<<<<<<
 *         else:
 *             # We have a linear equation with 1 root.
 */
      __pyx_t_1 = PyList_New(0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 825, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __pyx_v_roots = ((PyObject*)__pyx_t_1);
      __pyx_t_1 = 0;

      /* "fontTools/misc/bezierTools.py":823
 *     """
 *     if abs(a) < epsilon:
 *         if abs(b) < epsilon:             # <<<<<<<<<<<<<<
 *             # We have a non-equation; therefore, we have no valid solution
 *             roots = []
 */
      goto __pyx_L4;
    }

    /* "fontTools/misc/bezierTools.py":828
 *         else:
 *             # We have a linear equation with 1 root.
 *             roots = [-c / b]             # <<<<<<<<<<<<<<
 *     else:
 *         # We have a true quadratic equation.  Apply the quadratic formula to find two roots.
 */
    /*else*/ {
      __pyx_t_1 = PyNumber_Negative(__pyx_v_c); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 828, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __pyx_t_2 = __Pyx_PyNumber_Divide(__pyx_t_1, __pyx_v_b); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 828, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_2);
      __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
      __pyx_t_1 = PyList_New(1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 828, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __Pyx_GIVEREF(__pyx_t_2);
      if (__Pyx_PyList_SET_ITEM(__pyx_t_1, 0, __pyx_t_2)) __PYX_ERR(0, 828, __pyx_L1_error);
      __pyx_t_2 = 0;
      __pyx_v_roots = ((PyObject*)__pyx_t_1);
      __pyx_t_1 = 0;
    }
    __pyx_L4:;

    /* "fontTools/misc/bezierTools.py":822
 *         be sorted nor to contain unique values!
 *     """
 *     if abs(a) < epsilon:             # <<<<<<<<<<<<<<
 *         if abs(b) < epsilon:
 *             # We have a non-equation; therefore, we have no valid solution
 */
    goto __pyx_L3;
  }

  /* "fontTools/misc/bezierTools.py":831
 *     else:
 *         # We have a true quadratic equation.  Apply the quadratic formula to find two roots.
 *         DD = b * b - 4.0 * a * c             # <<<<<<<<<<<<<<
 *         if DD >= 0.0:
 *             rDD = sqrt(DD)
 */
  /*else*/ {
    __pyx_t_1 = PyNumber_Multiply(__pyx_v_b, __pyx_v_b); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 831, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = PyNumber_Multiply(__pyx_float_4_0, __pyx_v_a); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 831, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_3 = PyNumber_Multiply(__pyx_t_2, __pyx_v_c); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 831, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_t_2 = PyNumber_Subtract(__pyx_t_1, __pyx_t_3); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 831, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_v_DD = __pyx_t_2;
    __pyx_t_2 = 0;

    /* "fontTools/misc/bezierTools.py":832
 *         # We have a true quadratic equation.  Apply the quadratic formula to find two roots.
 *         DD = b * b - 4.0 * a * c
 *         if DD >= 0.0:             # <<<<<<<<<<<<<<
 *             rDD = sqrt(DD)
 *             roots = [(-b + rDD) / 2.0 / a, (-b - rDD) / 2.0 / a]
 */
    __pyx_t_2 = PyObject_RichCompare(__pyx_v_DD, __pyx_float_0_0, Py_GE); __Pyx_XGOTREF(__pyx_t_2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 832, __pyx_L1_error)
    __pyx_t_4 = __Pyx_PyObject_IsTrue(__pyx_t_2); if (unlikely((__pyx_t_4 < 0))) __PYX_ERR(0, 832, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    if (__pyx_t_4) {

      /* "fontTools/misc/bezierTools.py":833
 *         DD = b * b - 4.0 * a * c
 *         if DD >= 0.0:
 *             rDD = sqrt(DD)             # <<<<<<<<<<<<<<
 *             roots = [(-b + rDD) / 2.0 / a, (-b - rDD) / 2.0 / a]
 *         else:
 */
      __Pyx_INCREF(__pyx_v_sqrt);
      __pyx_t_3 = __pyx_v_sqrt; __pyx_t_1 = NULL;
      __pyx_t_5 = 0;
      #if CYTHON_UNPACK_METHODS
      if (unlikely(PyMethod_Check(__pyx_t_3))) {
        __pyx_t_1 = PyMethod_GET_SELF(__pyx_t_3);
        if (likely(__pyx_t_1)) {
          PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_3);
          __Pyx_INCREF(__pyx_t_1);
          __Pyx_INCREF(function);
          __Pyx_DECREF_SET(__pyx_t_3, function);
          __pyx_t_5 = 1;
        }
      }
      #endif
      {
        PyObject *__pyx_callargs[2] = {__pyx_t_1, __pyx_v_DD};
        __pyx_t_2 = __Pyx_PyObject_FastCall(__pyx_t_3, __pyx_callargs+1-__pyx_t_5, 1+__pyx_t_5);
        __Pyx_XDECREF(__pyx_t_1); __pyx_t_1 = 0;
        if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 833, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_2);
        __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      }
      __pyx_v_rDD = __pyx_t_2;
      __pyx_t_2 = 0;

      /* "fontTools/misc/bezierTools.py":834
 *         if DD >= 0.0:
 *             rDD = sqrt(DD)
 *             roots = [(-b + rDD) / 2.0 / a, (-b - rDD) / 2.0 / a]             # <<<<<<<<<<<<<<
 *         else:
 *             # complex roots, ignore
 */
      __pyx_t_2 = PyNumber_Negative(__pyx_v_b); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 834, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_2);
      __pyx_t_3 = PyNumber_Add(__pyx_t_2, __pyx_v_rDD); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 834, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
      __pyx_t_2 = __Pyx_PyFloat_TrueDivideObjC(__pyx_t_3, __pyx_float_2_0, 2.0, 0, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 834, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_2);
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __pyx_t_3 = __Pyx_PyNumber_Divide(__pyx_t_2, __pyx_v_a); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 834, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
      __pyx_t_2 = PyNumber_Negative(__pyx_v_b); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 834, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_2);
      __pyx_t_1 = PyNumber_Subtract(__pyx_t_2, __pyx_v_rDD); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 834, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
      __pyx_t_2 = __Pyx_PyFloat_TrueDivideObjC(__pyx_t_1, __pyx_float_2_0, 2.0, 0, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 834, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_2);
      __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
      __pyx_t_1 = __Pyx_PyNumber_Divide(__pyx_t_2, __pyx_v_a); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 834, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
      __pyx_t_2 = PyList_New(2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 834, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_2);
      __Pyx_GIVEREF(__pyx_t_3);
      if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 0, __pyx_t_3)) __PYX_ERR(0, 834, __pyx_L1_error);
      __Pyx_GIVEREF(__pyx_t_1);
      if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 1, __pyx_t_1)) __PYX_ERR(0, 834, __pyx_L1_error);
      __pyx_t_3 = 0;
      __pyx_t_1 = 0;
      __pyx_v_roots = ((PyObject*)__pyx_t_2);
      __pyx_t_2 = 0;

      /* "fontTools/misc/bezierTools.py":832
 *         # We have a true quadratic equation.  Apply the quadratic formula to find two roots.
 *         DD = b * b - 4.0 * a * c
 *         if DD >= 0.0:             # <<<<<<<<<<<<<<
 *             rDD = sqrt(DD)
 *             roots = [(-b + rDD) / 2.0 / a, (-b - rDD) / 2.0 / a]
 */
      goto __pyx_L5;
    }

    /* "fontTools/misc/bezierTools.py":837
 *         else:
 *             # complex roots, ignore
 *             roots = []             # <<<<<<<<<<<<<<
 *     return roots
 * 
 */
    /*else*/ {
      __pyx_t_2 = PyList_New(0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 837, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_2);
      __pyx_v_roots = ((PyObject*)__pyx_t_2);
      __pyx_t_2 = 0;
    }
    __pyx_L5:;
  }
  __pyx_L3:;

  /* "fontTools/misc/bezierTools.py":838
 *             # complex roots, ignore
 *             roots = []
 *     return roots             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __Pyx_XDECREF(__pyx_r);
  __Pyx_INCREF(__pyx_v_roots);
  __pyx_r = __pyx_v_roots;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":808
 * 
 * 
 * def solveQuadratic(a, b, c, sqrt=sqrt):             # <<<<<<<<<<<<<<
 *     """Solve a quadratic equation.
 * 
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.solveQuadratic", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_roots);
  __Pyx_XDECREF(__pyx_v_DD);
  __Pyx_XDECREF(__pyx_v_rDD);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":841
 * 
 * 
 * def solveCubic(a, b, c, d):             # <<<<<<<<<<<<<<
 *     """Solve a cubic equation.
 * 
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_49solveCubic(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_48solveCubic, "solveCubic(a, b, c, d)\nSolve a cubic equation.\n\n    Solves *a*x*x*x + b*x*x + c*x + d = 0* where a, b, c and d are real.\n\n    Args:\n        a: coefficient of *x\302\263*\n        b: coefficient of *x\302\262*\n        c: coefficient of *x*\n        d: constant term\n\n    Returns:\n        A list of roots. Note that the returned list is neither guaranteed to\n        be sorted nor to contain unique values!\n\n    Examples::\n\n        >>> solveCubic(1, 1, -6, 0)\n        [-3.0, -0.0, 2.0]\n        >>> solveCubic(-10.0, -9.0, 48.0, -29.0)\n        [-2.9, 1.0, 1.0]\n        >>> solveCubic(-9.875, -9.0, 47.625, -28.75)\n        [-2.911392, 1.0, 1.0]\n        >>> solveCubic(1.0, -4.5, 6.75, -3.375)\n        [1.5, 1.5, 1.5]\n        >>> solveCubic(-12.0, 18.0, -9.0, 1.50023651123)\n        [0.5, 0.5, 0.5]\n        >>> solveCubic(\n        ...     9.0, 0.0, 0.0, -7.62939453125e-05\n        ... ) == [-0.0, -0.0, -0.0]\n        True\n    ");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_49solveCubic = {"solveCubic", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_49solveCubic, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_48solveCubic};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_49solveCubic(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_a = 0;
  PyObject *__pyx_v_b = 0;
  PyObject *__pyx_v_c = 0;
  PyObject *__pyx_v_d = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[4] = {0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("solveCubic (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_a,&__pyx_n_s_b,&__pyx_n_s_c,&__pyx_n_s_d,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  4: values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_a)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 841, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_b)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[1]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 841, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("solveCubic", 1, 4, 4, 1); __PYX_ERR(0, 841, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_c)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[2]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 841, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("solveCubic", 1, 4, 4, 2); __PYX_ERR(0, 841, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  3:
        if (likely((values[3] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_d)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[3]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 841, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("solveCubic", 1, 4, 4, 3); __PYX_ERR(0, 841, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "solveCubic") < 0)) __PYX_ERR(0, 841, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs != 4)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
      values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
      values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
      values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
    }
    __pyx_v_a = values[0];
    __pyx_v_b = values[1];
    __pyx_v_c = values[2];
    __pyx_v_d = values[3];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("solveCubic", 1, 4, 4, __pyx_nargs); __PYX_ERR(0, 841, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.solveCubic", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_48solveCubic(__pyx_self, __pyx_v_a, __pyx_v_b, __pyx_v_c, __pyx_v_d);

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_48solveCubic(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_a, PyObject *__pyx_v_b, PyObject *__pyx_v_c, PyObject *__pyx_v_d) {
  PyObject *__pyx_v_a1 = NULL;
  PyObject *__pyx_v_a2 = NULL;
  PyObject *__pyx_v_a3 = NULL;
  PyObject *__pyx_v_Q = NULL;
  PyObject *__pyx_v_R = NULL;
  PyObject *__pyx_v_R2 = NULL;
  PyObject *__pyx_v_Q3 = NULL;
  PyObject *__pyx_v_R2_Q3 = NULL;
  PyObject *__pyx_v_x = NULL;
  PyObject *__pyx_v_theta = NULL;
  PyObject *__pyx_v_rQ2 = NULL;
  PyObject *__pyx_v_a1_3 = NULL;
  PyObject *__pyx_v_x0 = NULL;
  PyObject *__pyx_v_x1 = NULL;
  PyObject *__pyx_v_x2 = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  int __pyx_t_4;
  int __pyx_t_5;
  PyObject *__pyx_t_6 = NULL;
  int __pyx_t_7;
  double __pyx_t_8;
  double __pyx_t_9;
  PyObject *__pyx_t_10 = NULL;
  PyObject *__pyx_t_11 = NULL;
  int __pyx_t_12;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("solveCubic", 0);
  __Pyx_INCREF(__pyx_v_a);

  /* "fontTools/misc/bezierTools.py":879
 *     # found at: http://www.strangecreations.com/library/snippets/Cubic.C
 *     #
 *     if abs(a) < epsilon:             # <<<<<<<<<<<<<<
 *         # don't just test for zero; for very small values of 'a' solveCubic()
 *         # returns unreliable results, so we fall back to quad.
 */
  __pyx_t_1 = __Pyx_PyNumber_Absolute(__pyx_v_a); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 879, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_epsilon); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 879, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = PyObject_RichCompare(__pyx_t_1, __pyx_t_2, Py_LT); __Pyx_XGOTREF(__pyx_t_3); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 879, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_4 = __Pyx_PyObject_IsTrue(__pyx_t_3); if (unlikely((__pyx_t_4 < 0))) __PYX_ERR(0, 879, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  if (__pyx_t_4) {

    /* "fontTools/misc/bezierTools.py":882
 *         # don't just test for zero; for very small values of 'a' solveCubic()
 *         # returns unreliable results, so we fall back to quad.
 *         return solveQuadratic(b, c, d)             # <<<<<<<<<<<<<<
 *     a = float(a)
 *     a1 = b / a
 */
    __Pyx_XDECREF(__pyx_r);
    __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_solveQuadratic); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 882, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = NULL;
    __pyx_t_5 = 0;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_2))) {
      __pyx_t_1 = PyMethod_GET_SELF(__pyx_t_2);
      if (likely(__pyx_t_1)) {
        PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_2);
        __Pyx_INCREF(__pyx_t_1);
        __Pyx_INCREF(function);
        __Pyx_DECREF_SET(__pyx_t_2, function);
        __pyx_t_5 = 1;
      }
    }
    #endif
    {
      PyObject *__pyx_callargs[4] = {__pyx_t_1, __pyx_v_b, __pyx_v_c, __pyx_v_d};
      __pyx_t_3 = __Pyx_PyObject_FastCall(__pyx_t_2, __pyx_callargs+1-__pyx_t_5, 3+__pyx_t_5);
      __Pyx_XDECREF(__pyx_t_1); __pyx_t_1 = 0;
      if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 882, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    }
    __pyx_r = __pyx_t_3;
    __pyx_t_3 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":879
 *     # found at: http://www.strangecreations.com/library/snippets/Cubic.C
 *     #
 *     if abs(a) < epsilon:             # <<<<<<<<<<<<<<
 *         # don't just test for zero; for very small values of 'a' solveCubic()
 *         # returns unreliable results, so we fall back to quad.
 */
  }

  /* "fontTools/misc/bezierTools.py":883
 *         # returns unreliable results, so we fall back to quad.
 *         return solveQuadratic(b, c, d)
 *     a = float(a)             # <<<<<<<<<<<<<<
 *     a1 = b / a
 *     a2 = c / a
 */
  __pyx_t_3 = __Pyx_PyNumber_Float(__pyx_v_a); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 883, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF_SET(__pyx_v_a, __pyx_t_3);
  __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":884
 *         return solveQuadratic(b, c, d)
 *     a = float(a)
 *     a1 = b / a             # <<<<<<<<<<<<<<
 *     a2 = c / a
 *     a3 = d / a
 */
  __pyx_t_3 = __Pyx_PyNumber_Divide(__pyx_v_b, __pyx_v_a); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 884, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_v_a1 = __pyx_t_3;
  __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":885
 *     a = float(a)
 *     a1 = b / a
 *     a2 = c / a             # <<<<<<<<<<<<<<
 *     a3 = d / a
 * 
 */
  __pyx_t_3 = __Pyx_PyNumber_Divide(__pyx_v_c, __pyx_v_a); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 885, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_v_a2 = __pyx_t_3;
  __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":886
 *     a1 = b / a
 *     a2 = c / a
 *     a3 = d / a             # <<<<<<<<<<<<<<
 * 
 *     Q = (a1 * a1 - 3.0 * a2) / 9.0
 */
  __pyx_t_3 = __Pyx_PyNumber_Divide(__pyx_v_d, __pyx_v_a); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 886, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_v_a3 = __pyx_t_3;
  __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":888
 *     a3 = d / a
 * 
 *     Q = (a1 * a1 - 3.0 * a2) / 9.0             # <<<<<<<<<<<<<<
 *     R = (2.0 * a1 * a1 * a1 - 9.0 * a1 * a2 + 27.0 * a3) / 54.0
 * 
 */
  __pyx_t_3 = PyNumber_Multiply(__pyx_v_a1, __pyx_v_a1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 888, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_2 = PyNumber_Multiply(__pyx_float_3_0, __pyx_v_a2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 888, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_1 = PyNumber_Subtract(__pyx_t_3, __pyx_t_2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 888, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = __Pyx_PyFloat_TrueDivideObjC(__pyx_t_1, __pyx_float_9_0, 9.0, 0, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 888, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_v_Q = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":889
 * 
 *     Q = (a1 * a1 - 3.0 * a2) / 9.0
 *     R = (2.0 * a1 * a1 * a1 - 9.0 * a1 * a2 + 27.0 * a3) / 54.0             # <<<<<<<<<<<<<<
 * 
 *     R2 = R * R
 */
  __pyx_t_2 = PyNumber_Multiply(__pyx_float_2_0, __pyx_v_a1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 889, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_1 = PyNumber_Multiply(__pyx_t_2, __pyx_v_a1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 889, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = PyNumber_Multiply(__pyx_t_1, __pyx_v_a1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 889, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyNumber_Multiply(__pyx_float_9_0, __pyx_v_a1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 889, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_3 = PyNumber_Multiply(__pyx_t_1, __pyx_v_a2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 889, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyNumber_Subtract(__pyx_t_2, __pyx_t_3); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 889, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = PyNumber_Multiply(__pyx_float_27_0, __pyx_v_a3); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 889, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_2 = PyNumber_Add(__pyx_t_1, __pyx_t_3); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 889, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = __Pyx_PyFloat_TrueDivideObjC(__pyx_t_2, __pyx_float_54_0, 54.0, 0, 0); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 889, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_v_R = __pyx_t_3;
  __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":891
 *     R = (2.0 * a1 * a1 * a1 - 9.0 * a1 * a2 + 27.0 * a3) / 54.0
 * 
 *     R2 = R * R             # <<<<<<<<<<<<<<
 *     Q3 = Q * Q * Q
 *     R2 = 0 if R2 < epsilon else R2
 */
  __pyx_t_3 = PyNumber_Multiply(__pyx_v_R, __pyx_v_R); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 891, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_v_R2 = __pyx_t_3;
  __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":892
 * 
 *     R2 = R * R
 *     Q3 = Q * Q * Q             # <<<<<<<<<<<<<<
 *     R2 = 0 if R2 < epsilon else R2
 *     Q3 = 0 if abs(Q3) < epsilon else Q3
 */
  __pyx_t_3 = PyNumber_Multiply(__pyx_v_Q, __pyx_v_Q); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 892, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_2 = PyNumber_Multiply(__pyx_t_3, __pyx_v_Q); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 892, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_v_Q3 = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":893
 *     R2 = R * R
 *     Q3 = Q * Q * Q
 *     R2 = 0 if R2 < epsilon else R2             # <<<<<<<<<<<<<<
 *     Q3 = 0 if abs(Q3) < epsilon else Q3
 * 
 */
  __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_epsilon); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 893, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_1 = PyObject_RichCompare(__pyx_v_R2, __pyx_t_3, Py_LT); __Pyx_XGOTREF(__pyx_t_1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 893, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_4 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely((__pyx_t_4 < 0))) __PYX_ERR(0, 893, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  if (__pyx_t_4) {
    __Pyx_INCREF(__pyx_int_0);
    __pyx_t_2 = __pyx_int_0;
  } else {
    __Pyx_INCREF(__pyx_v_R2);
    __pyx_t_2 = __pyx_v_R2;
  }
  __Pyx_DECREF_SET(__pyx_v_R2, __pyx_t_2);
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":894
 *     Q3 = Q * Q * Q
 *     R2 = 0 if R2 < epsilon else R2
 *     Q3 = 0 if abs(Q3) < epsilon else Q3             # <<<<<<<<<<<<<<
 * 
 *     R2_Q3 = R2 - Q3
 */
  __pyx_t_1 = __Pyx_PyNumber_Absolute(__pyx_v_Q3); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 894, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_epsilon); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 894, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_6 = PyObject_RichCompare(__pyx_t_1, __pyx_t_3, Py_LT); __Pyx_XGOTREF(__pyx_t_6); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 894, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_4 = __Pyx_PyObject_IsTrue(__pyx_t_6); if (unlikely((__pyx_t_4 < 0))) __PYX_ERR(0, 894, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
  if (__pyx_t_4) {
    __Pyx_INCREF(__pyx_int_0);
    __pyx_t_2 = __pyx_int_0;
  } else {
    __Pyx_INCREF(__pyx_v_Q3);
    __pyx_t_2 = __pyx_v_Q3;
  }
  __Pyx_DECREF_SET(__pyx_v_Q3, __pyx_t_2);
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":896
 *     Q3 = 0 if abs(Q3) < epsilon else Q3
 * 
 *     R2_Q3 = R2 - Q3             # <<<<<<<<<<<<<<
 * 
 *     if R2 == 0.0 and Q3 == 0.0:
 */
  __pyx_t_2 = PyNumber_Subtract(__pyx_v_R2, __pyx_v_Q3); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 896, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_v_R2_Q3 = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":898
 *     R2_Q3 = R2 - Q3
 * 
 *     if R2 == 0.0 and Q3 == 0.0:             # <<<<<<<<<<<<<<
 *         x = round(-a1 / 3.0, epsilonDigits)
 *         return [x, x, x]
 */
  __pyx_t_7 = (__Pyx_PyFloat_BoolEqObjC(__pyx_v_R2, __pyx_float_0_0, 0.0, 0, 0)); if (unlikely((__pyx_t_7 < 0))) __PYX_ERR(0, 898, __pyx_L1_error)
  if (__pyx_t_7) {
  } else {
    __pyx_t_4 = __pyx_t_7;
    goto __pyx_L5_bool_binop_done;
  }
  __pyx_t_7 = (__Pyx_PyFloat_BoolEqObjC(__pyx_v_Q3, __pyx_float_0_0, 0.0, 0, 0)); if (unlikely((__pyx_t_7 < 0))) __PYX_ERR(0, 898, __pyx_L1_error)
  __pyx_t_4 = __pyx_t_7;
  __pyx_L5_bool_binop_done:;
  if (__pyx_t_4) {

    /* "fontTools/misc/bezierTools.py":899
 * 
 *     if R2 == 0.0 and Q3 == 0.0:
 *         x = round(-a1 / 3.0, epsilonDigits)             # <<<<<<<<<<<<<<
 *         return [x, x, x]
 *     elif R2_Q3 <= epsilon * 0.5:
 */
    __pyx_t_2 = PyNumber_Negative(__pyx_v_a1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 899, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_6 = __Pyx_PyFloat_TrueDivideObjC(__pyx_t_2, __pyx_float_3_0, 3.0, 0, 0); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 899, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_epsilonDigits); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 899, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_3 = PyTuple_New(2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 899, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_GIVEREF(__pyx_t_6);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_6)) __PYX_ERR(0, 899, __pyx_L1_error);
    __Pyx_GIVEREF(__pyx_t_2);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_t_2)) __PYX_ERR(0, 899, __pyx_L1_error);
    __pyx_t_6 = 0;
    __pyx_t_2 = 0;
    __pyx_t_2 = __Pyx_PyObject_Call(__pyx_builtin_round, __pyx_t_3, NULL); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 899, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_v_x = __pyx_t_2;
    __pyx_t_2 = 0;

    /* "fontTools/misc/bezierTools.py":900
 *     if R2 == 0.0 and Q3 == 0.0:
 *         x = round(-a1 / 3.0, epsilonDigits)
 *         return [x, x, x]             # <<<<<<<<<<<<<<
 *     elif R2_Q3 <= epsilon * 0.5:
 *         # The epsilon * .5 above ensures that Q3 is not zero.
 */
    __Pyx_XDECREF(__pyx_r);
    __pyx_t_2 = PyList_New(3); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 900, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_INCREF(__pyx_v_x);
    __Pyx_GIVEREF(__pyx_v_x);
    if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 0, __pyx_v_x)) __PYX_ERR(0, 900, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_x);
    __Pyx_GIVEREF(__pyx_v_x);
    if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 1, __pyx_v_x)) __PYX_ERR(0, 900, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_x);
    __Pyx_GIVEREF(__pyx_v_x);
    if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 2, __pyx_v_x)) __PYX_ERR(0, 900, __pyx_L1_error);
    __pyx_r = __pyx_t_2;
    __pyx_t_2 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":898
 *     R2_Q3 = R2 - Q3
 * 
 *     if R2 == 0.0 and Q3 == 0.0:             # <<<<<<<<<<<<<<
 *         x = round(-a1 / 3.0, epsilonDigits)
 *         return [x, x, x]
 */
  }

  /* "fontTools/misc/bezierTools.py":901
 *         x = round(-a1 / 3.0, epsilonDigits)
 *         return [x, x, x]
 *     elif R2_Q3 <= epsilon * 0.5:             # <<<<<<<<<<<<<<
 *         # The epsilon * .5 above ensures that Q3 is not zero.
 *         theta = acos(max(min(R / sqrt(Q3), 1.0), -1.0))
 */
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_epsilon); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 901, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = PyNumber_Multiply(__pyx_t_2, __pyx_float_0_5); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 901, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = PyObject_RichCompare(__pyx_v_R2_Q3, __pyx_t_3, Py_LE); __Pyx_XGOTREF(__pyx_t_2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 901, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_4 = __Pyx_PyObject_IsTrue(__pyx_t_2); if (unlikely((__pyx_t_4 < 0))) __PYX_ERR(0, 901, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  if (__pyx_t_4) {

    /* "fontTools/misc/bezierTools.py":903
 *     elif R2_Q3 <= epsilon * 0.5:
 *         # The epsilon * .5 above ensures that Q3 is not zero.
 *         theta = acos(max(min(R / sqrt(Q3), 1.0), -1.0))             # <<<<<<<<<<<<<<
 *         rQ2 = -2.0 * sqrt(Q)
 *         a1_3 = a1 / 3.0
 */
    __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_acos); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 903, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_8 = -1.0;
    __pyx_t_9 = 1.0;
    __Pyx_GetModuleGlobalName(__pyx_t_1, __pyx_n_s_sqrt); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 903, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_10 = NULL;
    __pyx_t_5 = 0;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_1))) {
      __pyx_t_10 = PyMethod_GET_SELF(__pyx_t_1);
      if (likely(__pyx_t_10)) {
        PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_1);
        __Pyx_INCREF(__pyx_t_10);
        __Pyx_INCREF(function);
        __Pyx_DECREF_SET(__pyx_t_1, function);
        __pyx_t_5 = 1;
      }
    }
    #endif
    {
      PyObject *__pyx_callargs[2] = {__pyx_t_10, __pyx_v_Q3};
      __pyx_t_6 = __Pyx_PyObject_FastCall(__pyx_t_1, __pyx_callargs+1-__pyx_t_5, 1+__pyx_t_5);
      __Pyx_XDECREF(__pyx_t_10); __pyx_t_10 = 0;
      if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 903, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_6);
      __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    }
    __pyx_t_1 = __Pyx_PyNumber_Divide(__pyx_v_R, __pyx_t_6); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 903, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __pyx_t_10 = PyFloat_FromDouble(__pyx_t_9); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 903, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_10);
    __pyx_t_11 = PyObject_RichCompare(__pyx_t_10, __pyx_t_1, Py_LT); __Pyx_XGOTREF(__pyx_t_11); if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 903, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
    __pyx_t_4 = __Pyx_PyObject_IsTrue(__pyx_t_11); if (unlikely((__pyx_t_4 < 0))) __PYX_ERR(0, 903, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_11); __pyx_t_11 = 0;
    if (__pyx_t_4) {
      __pyx_t_11 = PyFloat_FromDouble(__pyx_t_9); if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 903, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_11);
      __pyx_t_6 = __pyx_t_11;
      __pyx_t_11 = 0;
    } else {
      __Pyx_INCREF(__pyx_t_1);
      __pyx_t_6 = __pyx_t_1;
    }
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_INCREF(__pyx_t_6);
    __pyx_t_1 = __pyx_t_6;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __pyx_t_11 = PyFloat_FromDouble(__pyx_t_8); if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 903, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_11);
    __pyx_t_10 = PyObject_RichCompare(__pyx_t_11, __pyx_t_1, Py_GT); __Pyx_XGOTREF(__pyx_t_10); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 903, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_11); __pyx_t_11 = 0;
    __pyx_t_4 = __Pyx_PyObject_IsTrue(__pyx_t_10); if (unlikely((__pyx_t_4 < 0))) __PYX_ERR(0, 903, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
    if (__pyx_t_4) {
      __pyx_t_10 = PyFloat_FromDouble(__pyx_t_8); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 903, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_10);
      __pyx_t_6 = __pyx_t_10;
      __pyx_t_10 = 0;
    } else {
      __Pyx_INCREF(__pyx_t_1);
      __pyx_t_6 = __pyx_t_1;
    }
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_1 = NULL;
    __pyx_t_5 = 0;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_3))) {
      __pyx_t_1 = PyMethod_GET_SELF(__pyx_t_3);
      if (likely(__pyx_t_1)) {
        PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_3);
        __Pyx_INCREF(__pyx_t_1);
        __Pyx_INCREF(function);
        __Pyx_DECREF_SET(__pyx_t_3, function);
        __pyx_t_5 = 1;
      }
    }
    #endif
    {
      PyObject *__pyx_callargs[2] = {__pyx_t_1, __pyx_t_6};
      __pyx_t_2 = __Pyx_PyObject_FastCall(__pyx_t_3, __pyx_callargs+1-__pyx_t_5, 1+__pyx_t_5);
      __Pyx_XDECREF(__pyx_t_1); __pyx_t_1 = 0;
      __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 903, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_2);
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    }
    __pyx_v_theta = __pyx_t_2;
    __pyx_t_2 = 0;

    /* "fontTools/misc/bezierTools.py":904
 *         # The epsilon * .5 above ensures that Q3 is not zero.
 *         theta = acos(max(min(R / sqrt(Q3), 1.0), -1.0))
 *         rQ2 = -2.0 * sqrt(Q)             # <<<<<<<<<<<<<<
 *         a1_3 = a1 / 3.0
 *         x0 = rQ2 * cos(theta / 3.0) - a1_3
 */
    __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_sqrt); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 904, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_6 = NULL;
    __pyx_t_5 = 0;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_3))) {
      __pyx_t_6 = PyMethod_GET_SELF(__pyx_t_3);
      if (likely(__pyx_t_6)) {
        PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_3);
        __Pyx_INCREF(__pyx_t_6);
        __Pyx_INCREF(function);
        __Pyx_DECREF_SET(__pyx_t_3, function);
        __pyx_t_5 = 1;
      }
    }
    #endif
    {
      PyObject *__pyx_callargs[2] = {__pyx_t_6, __pyx_v_Q};
      __pyx_t_2 = __Pyx_PyObject_FastCall(__pyx_t_3, __pyx_callargs+1-__pyx_t_5, 1+__pyx_t_5);
      __Pyx_XDECREF(__pyx_t_6); __pyx_t_6 = 0;
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 904, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_2);
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    }
    __pyx_t_3 = PyNumber_Multiply(__pyx_float_neg_2_0, __pyx_t_2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 904, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_v_rQ2 = __pyx_t_3;
    __pyx_t_3 = 0;

    /* "fontTools/misc/bezierTools.py":905
 *         theta = acos(max(min(R / sqrt(Q3), 1.0), -1.0))
 *         rQ2 = -2.0 * sqrt(Q)
 *         a1_3 = a1 / 3.0             # <<<<<<<<<<<<<<
 *         x0 = rQ2 * cos(theta / 3.0) - a1_3
 *         x1 = rQ2 * cos((theta + 2.0 * pi) / 3.0) - a1_3
 */
    __pyx_t_3 = __Pyx_PyFloat_TrueDivideObjC(__pyx_v_a1, __pyx_float_3_0, 3.0, 0, 0); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 905, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_v_a1_3 = __pyx_t_3;
    __pyx_t_3 = 0;

    /* "fontTools/misc/bezierTools.py":906
 *         rQ2 = -2.0 * sqrt(Q)
 *         a1_3 = a1 / 3.0
 *         x0 = rQ2 * cos(theta / 3.0) - a1_3             # <<<<<<<<<<<<<<
 *         x1 = rQ2 * cos((theta + 2.0 * pi) / 3.0) - a1_3
 *         x2 = rQ2 * cos((theta + 4.0 * pi) / 3.0) - a1_3
 */
    __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_cos); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 906, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_6 = __Pyx_PyFloat_TrueDivideObjC(__pyx_v_theta, __pyx_float_3_0, 3.0, 0, 0); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 906, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __pyx_t_1 = NULL;
    __pyx_t_5 = 0;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_2))) {
      __pyx_t_1 = PyMethod_GET_SELF(__pyx_t_2);
      if (likely(__pyx_t_1)) {
        PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_2);
        __Pyx_INCREF(__pyx_t_1);
        __Pyx_INCREF(function);
        __Pyx_DECREF_SET(__pyx_t_2, function);
        __pyx_t_5 = 1;
      }
    }
    #endif
    {
      PyObject *__pyx_callargs[2] = {__pyx_t_1, __pyx_t_6};
      __pyx_t_3 = __Pyx_PyObject_FastCall(__pyx_t_2, __pyx_callargs+1-__pyx_t_5, 1+__pyx_t_5);
      __Pyx_XDECREF(__pyx_t_1); __pyx_t_1 = 0;
      __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
      if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 906, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    }
    __pyx_t_2 = PyNumber_Multiply(__pyx_v_rQ2, __pyx_t_3); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 906, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_3 = PyNumber_Subtract(__pyx_t_2, __pyx_v_a1_3); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 906, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_v_x0 = __pyx_t_3;
    __pyx_t_3 = 0;

    /* "fontTools/misc/bezierTools.py":907
 *         a1_3 = a1 / 3.0
 *         x0 = rQ2 * cos(theta / 3.0) - a1_3
 *         x1 = rQ2 * cos((theta + 2.0 * pi) / 3.0) - a1_3             # <<<<<<<<<<<<<<
 *         x2 = rQ2 * cos((theta + 4.0 * pi) / 3.0) - a1_3
 *         x0, x1, x2 = sorted([x0, x1, x2])
 */
    __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_cos); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 907, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_GetModuleGlobalName(__pyx_t_6, __pyx_n_s_pi); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 907, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __pyx_t_1 = PyNumber_Multiply(__pyx_float_2_0, __pyx_t_6); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 907, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __pyx_t_6 = PyNumber_Add(__pyx_v_theta, __pyx_t_1); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 907, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_1 = __Pyx_PyFloat_TrueDivideObjC(__pyx_t_6, __pyx_float_3_0, 3.0, 0, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 907, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __pyx_t_6 = NULL;
    __pyx_t_5 = 0;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_2))) {
      __pyx_t_6 = PyMethod_GET_SELF(__pyx_t_2);
      if (likely(__pyx_t_6)) {
        PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_2);
        __Pyx_INCREF(__pyx_t_6);
        __Pyx_INCREF(function);
        __Pyx_DECREF_SET(__pyx_t_2, function);
        __pyx_t_5 = 1;
      }
    }
    #endif
    {
      PyObject *__pyx_callargs[2] = {__pyx_t_6, __pyx_t_1};
      __pyx_t_3 = __Pyx_PyObject_FastCall(__pyx_t_2, __pyx_callargs+1-__pyx_t_5, 1+__pyx_t_5);
      __Pyx_XDECREF(__pyx_t_6); __pyx_t_6 = 0;
      __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
      if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 907, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    }
    __pyx_t_2 = PyNumber_Multiply(__pyx_v_rQ2, __pyx_t_3); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 907, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_3 = PyNumber_Subtract(__pyx_t_2, __pyx_v_a1_3); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 907, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_v_x1 = __pyx_t_3;
    __pyx_t_3 = 0;

    /* "fontTools/misc/bezierTools.py":908
 *         x0 = rQ2 * cos(theta / 3.0) - a1_3
 *         x1 = rQ2 * cos((theta + 2.0 * pi) / 3.0) - a1_3
 *         x2 = rQ2 * cos((theta + 4.0 * pi) / 3.0) - a1_3             # <<<<<<<<<<<<<<
 *         x0, x1, x2 = sorted([x0, x1, x2])
 *         # Merge roots that are close-enough
 */
    __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_cos); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 908, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_GetModuleGlobalName(__pyx_t_1, __pyx_n_s_pi); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 908, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_6 = PyNumber_Multiply(__pyx_float_4_0, __pyx_t_1); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 908, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_1 = PyNumber_Add(__pyx_v_theta, __pyx_t_6); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 908, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __pyx_t_6 = __Pyx_PyFloat_TrueDivideObjC(__pyx_t_1, __pyx_float_3_0, 3.0, 0, 0); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 908, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_1 = NULL;
    __pyx_t_5 = 0;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_2))) {
      __pyx_t_1 = PyMethod_GET_SELF(__pyx_t_2);
      if (likely(__pyx_t_1)) {
        PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_2);
        __Pyx_INCREF(__pyx_t_1);
        __Pyx_INCREF(function);
        __Pyx_DECREF_SET(__pyx_t_2, function);
        __pyx_t_5 = 1;
      }
    }
    #endif
    {
      PyObject *__pyx_callargs[2] = {__pyx_t_1, __pyx_t_6};
      __pyx_t_3 = __Pyx_PyObject_FastCall(__pyx_t_2, __pyx_callargs+1-__pyx_t_5, 1+__pyx_t_5);
      __Pyx_XDECREF(__pyx_t_1); __pyx_t_1 = 0;
      __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
      if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 908, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    }
    __pyx_t_2 = PyNumber_Multiply(__pyx_v_rQ2, __pyx_t_3); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 908, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_3 = PyNumber_Subtract(__pyx_t_2, __pyx_v_a1_3); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 908, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_v_x2 = __pyx_t_3;
    __pyx_t_3 = 0;

    /* "fontTools/misc/bezierTools.py":909
 *         x1 = rQ2 * cos((theta + 2.0 * pi) / 3.0) - a1_3
 *         x2 = rQ2 * cos((theta + 4.0 * pi) / 3.0) - a1_3
 *         x0, x1, x2 = sorted([x0, x1, x2])             # <<<<<<<<<<<<<<
 *         # Merge roots that are close-enough
 *         if x1 - x0 < epsilon and x2 - x1 < epsilon:
 */
    __pyx_t_2 = PyList_New(3); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 909, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_INCREF(__pyx_v_x0);
    __Pyx_GIVEREF(__pyx_v_x0);
    if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 0, __pyx_v_x0)) __PYX_ERR(0, 909, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_x1);
    __Pyx_GIVEREF(__pyx_v_x1);
    if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 1, __pyx_v_x1)) __PYX_ERR(0, 909, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_x2);
    __Pyx_GIVEREF(__pyx_v_x2);
    if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 2, __pyx_v_x2)) __PYX_ERR(0, 909, __pyx_L1_error);
    __pyx_t_3 = ((PyObject*)__pyx_t_2);
    __pyx_t_2 = 0;
    __pyx_t_12 = PyList_Sort(__pyx_t_3); if (unlikely(__pyx_t_12 == ((int)-1))) __PYX_ERR(0, 909, __pyx_L1_error)
    if (1) {
      PyObject* sequence = __pyx_t_3;
      Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
      if (unlikely(size != 3)) {
        if (size > 3) __Pyx_RaiseTooManyValuesError(3);
        else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
        __PYX_ERR(0, 909, __pyx_L1_error)
      }
      #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
      __pyx_t_2 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_6 = PyList_GET_ITEM(sequence, 1); 
      __pyx_t_1 = PyList_GET_ITEM(sequence, 2); 
      __Pyx_INCREF(__pyx_t_2);
      __Pyx_INCREF(__pyx_t_6);
      __Pyx_INCREF(__pyx_t_1);
      #else
      __pyx_t_2 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 909, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_2);
      __pyx_t_6 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 909, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_6);
      __pyx_t_1 = PySequence_ITEM(sequence, 2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 909, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      #endif
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    }
    __Pyx_DECREF_SET(__pyx_v_x0, __pyx_t_2);
    __pyx_t_2 = 0;
    __Pyx_DECREF_SET(__pyx_v_x1, __pyx_t_6);
    __pyx_t_6 = 0;
    __Pyx_DECREF_SET(__pyx_v_x2, __pyx_t_1);
    __pyx_t_1 = 0;

    /* "fontTools/misc/bezierTools.py":911
 *         x0, x1, x2 = sorted([x0, x1, x2])
 *         # Merge roots that are close-enough
 *         if x1 - x0 < epsilon and x2 - x1 < epsilon:             # <<<<<<<<<<<<<<
 *             x0 = x1 = x2 = round((x0 + x1 + x2) / 3.0, epsilonDigits)
 *         elif x1 - x0 < epsilon:
 */
    __pyx_t_3 = PyNumber_Subtract(__pyx_v_x1, __pyx_v_x0); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 911, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_GetModuleGlobalName(__pyx_t_1, __pyx_n_s_epsilon); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 911, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_6 = PyObject_RichCompare(__pyx_t_3, __pyx_t_1, Py_LT); __Pyx_XGOTREF(__pyx_t_6); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 911, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_7 = __Pyx_PyObject_IsTrue(__pyx_t_6); if (unlikely((__pyx_t_7 < 0))) __PYX_ERR(0, 911, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    if (__pyx_t_7) {
    } else {
      __pyx_t_4 = __pyx_t_7;
      goto __pyx_L8_bool_binop_done;
    }
    __pyx_t_6 = PyNumber_Subtract(__pyx_v_x2, __pyx_v_x1); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 911, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __Pyx_GetModuleGlobalName(__pyx_t_1, __pyx_n_s_epsilon); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 911, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_3 = PyObject_RichCompare(__pyx_t_6, __pyx_t_1, Py_LT); __Pyx_XGOTREF(__pyx_t_3); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 911, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_7 = __Pyx_PyObject_IsTrue(__pyx_t_3); if (unlikely((__pyx_t_7 < 0))) __PYX_ERR(0, 911, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = __pyx_t_7;
    __pyx_L8_bool_binop_done:;
    if (__pyx_t_4) {

      /* "fontTools/misc/bezierTools.py":912
 *         # Merge roots that are close-enough
 *         if x1 - x0 < epsilon and x2 - x1 < epsilon:
 *             x0 = x1 = x2 = round((x0 + x1 + x2) / 3.0, epsilonDigits)             # <<<<<<<<<<<<<<
 *         elif x1 - x0 < epsilon:
 *             x0 = x1 = round((x0 + x1) / 2.0, epsilonDigits)
 */
      __pyx_t_3 = PyNumber_Add(__pyx_v_x0, __pyx_v_x1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 912, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
      __pyx_t_1 = PyNumber_Add(__pyx_t_3, __pyx_v_x2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 912, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __pyx_t_3 = __Pyx_PyFloat_TrueDivideObjC(__pyx_t_1, __pyx_float_3_0, 3.0, 0, 0); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 912, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
      __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
      __Pyx_GetModuleGlobalName(__pyx_t_1, __pyx_n_s_epsilonDigits); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 912, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __pyx_t_6 = PyTuple_New(2); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 912, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_6);
      __Pyx_GIVEREF(__pyx_t_3);
      if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 0, __pyx_t_3)) __PYX_ERR(0, 912, __pyx_L1_error);
      __Pyx_GIVEREF(__pyx_t_1);
      if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 1, __pyx_t_1)) __PYX_ERR(0, 912, __pyx_L1_error);
      __pyx_t_3 = 0;
      __pyx_t_1 = 0;
      __pyx_t_1 = __Pyx_PyObject_Call(__pyx_builtin_round, __pyx_t_6, NULL); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 912, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
      __Pyx_INCREF(__pyx_t_1);
      __Pyx_DECREF_SET(__pyx_v_x0, __pyx_t_1);
      __Pyx_INCREF(__pyx_t_1);
      __Pyx_DECREF_SET(__pyx_v_x1, __pyx_t_1);
      __Pyx_INCREF(__pyx_t_1);
      __Pyx_DECREF_SET(__pyx_v_x2, __pyx_t_1);
      __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;

      /* "fontTools/misc/bezierTools.py":911
 *         x0, x1, x2 = sorted([x0, x1, x2])
 *         # Merge roots that are close-enough
 *         if x1 - x0 < epsilon and x2 - x1 < epsilon:             # <<<<<<<<<<<<<<
 *             x0 = x1 = x2 = round((x0 + x1 + x2) / 3.0, epsilonDigits)
 *         elif x1 - x0 < epsilon:
 */
      goto __pyx_L7;
    }

    /* "fontTools/misc/bezierTools.py":913
 *         if x1 - x0 < epsilon and x2 - x1 < epsilon:
 *             x0 = x1 = x2 = round((x0 + x1 + x2) / 3.0, epsilonDigits)
 *         elif x1 - x0 < epsilon:             # <<<<<<<<<<<<<<
 *             x0 = x1 = round((x0 + x1) / 2.0, epsilonDigits)
 *             x2 = round(x2, epsilonDigits)
 */
    __pyx_t_1 = PyNumber_Subtract(__pyx_v_x1, __pyx_v_x0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 913, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_GetModuleGlobalName(__pyx_t_6, __pyx_n_s_epsilon); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 913, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __pyx_t_3 = PyObject_RichCompare(__pyx_t_1, __pyx_t_6, Py_LT); __Pyx_XGOTREF(__pyx_t_3); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 913, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __pyx_t_4 = __Pyx_PyObject_IsTrue(__pyx_t_3); if (unlikely((__pyx_t_4 < 0))) __PYX_ERR(0, 913, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (__pyx_t_4) {

      /* "fontTools/misc/bezierTools.py":914
 *             x0 = x1 = x2 = round((x0 + x1 + x2) / 3.0, epsilonDigits)
 *         elif x1 - x0 < epsilon:
 *             x0 = x1 = round((x0 + x1) / 2.0, epsilonDigits)             # <<<<<<<<<<<<<<
 *             x2 = round(x2, epsilonDigits)
 *         elif x2 - x1 < epsilon:
 */
      __pyx_t_3 = PyNumber_Add(__pyx_v_x0, __pyx_v_x1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 914, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
      __pyx_t_6 = __Pyx_PyFloat_TrueDivideObjC(__pyx_t_3, __pyx_float_2_0, 2.0, 0, 0); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 914, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_6);
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_epsilonDigits); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 914, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
      __pyx_t_1 = PyTuple_New(2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 914, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __Pyx_GIVEREF(__pyx_t_6);
      if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_t_6)) __PYX_ERR(0, 914, __pyx_L1_error);
      __Pyx_GIVEREF(__pyx_t_3);
      if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_t_3)) __PYX_ERR(0, 914, __pyx_L1_error);
      __pyx_t_6 = 0;
      __pyx_t_3 = 0;
      __pyx_t_3 = __Pyx_PyObject_Call(__pyx_builtin_round, __pyx_t_1, NULL); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 914, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
      __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_DECREF_SET(__pyx_v_x0, __pyx_t_3);
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_DECREF_SET(__pyx_v_x1, __pyx_t_3);
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

      /* "fontTools/misc/bezierTools.py":915
 *         elif x1 - x0 < epsilon:
 *             x0 = x1 = round((x0 + x1) / 2.0, epsilonDigits)
 *             x2 = round(x2, epsilonDigits)             # <<<<<<<<<<<<<<
 *         elif x2 - x1 < epsilon:
 *             x0 = round(x0, epsilonDigits)
 */
      __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_epsilonDigits); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 915, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
      __pyx_t_1 = PyTuple_New(2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 915, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __Pyx_INCREF(__pyx_v_x2);
      __Pyx_GIVEREF(__pyx_v_x2);
      if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_v_x2)) __PYX_ERR(0, 915, __pyx_L1_error);
      __Pyx_GIVEREF(__pyx_t_3);
      if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_t_3)) __PYX_ERR(0, 915, __pyx_L1_error);
      __pyx_t_3 = 0;
      __pyx_t_3 = __Pyx_PyObject_Call(__pyx_builtin_round, __pyx_t_1, NULL); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 915, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
      __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
      __Pyx_DECREF_SET(__pyx_v_x2, __pyx_t_3);
      __pyx_t_3 = 0;

      /* "fontTools/misc/bezierTools.py":913
 *         if x1 - x0 < epsilon and x2 - x1 < epsilon:
 *             x0 = x1 = x2 = round((x0 + x1 + x2) / 3.0, epsilonDigits)
 *         elif x1 - x0 < epsilon:             # <<<<<<<<<<<<<<
 *             x0 = x1 = round((x0 + x1) / 2.0, epsilonDigits)
 *             x2 = round(x2, epsilonDigits)
 */
      goto __pyx_L7;
    }

    /* "fontTools/misc/bezierTools.py":916
 *             x0 = x1 = round((x0 + x1) / 2.0, epsilonDigits)
 *             x2 = round(x2, epsilonDigits)
 *         elif x2 - x1 < epsilon:             # <<<<<<<<<<<<<<
 *             x0 = round(x0, epsilonDigits)
 *             x1 = x2 = round((x1 + x2) / 2.0, epsilonDigits)
 */
    __pyx_t_3 = PyNumber_Subtract(__pyx_v_x2, __pyx_v_x1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 916, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_GetModuleGlobalName(__pyx_t_1, __pyx_n_s_epsilon); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 916, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_6 = PyObject_RichCompare(__pyx_t_3, __pyx_t_1, Py_LT); __Pyx_XGOTREF(__pyx_t_6); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 916, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_4 = __Pyx_PyObject_IsTrue(__pyx_t_6); if (unlikely((__pyx_t_4 < 0))) __PYX_ERR(0, 916, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    if (__pyx_t_4) {

      /* "fontTools/misc/bezierTools.py":917
 *             x2 = round(x2, epsilonDigits)
 *         elif x2 - x1 < epsilon:
 *             x0 = round(x0, epsilonDigits)             # <<<<<<<<<<<<<<
 *             x1 = x2 = round((x1 + x2) / 2.0, epsilonDigits)
 *         else:
 */
      __Pyx_GetModuleGlobalName(__pyx_t_6, __pyx_n_s_epsilonDigits); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 917, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_6);
      __pyx_t_1 = PyTuple_New(2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 917, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __Pyx_INCREF(__pyx_v_x0);
      __Pyx_GIVEREF(__pyx_v_x0);
      if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_v_x0)) __PYX_ERR(0, 917, __pyx_L1_error);
      __Pyx_GIVEREF(__pyx_t_6);
      if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_t_6)) __PYX_ERR(0, 917, __pyx_L1_error);
      __pyx_t_6 = 0;
      __pyx_t_6 = __Pyx_PyObject_Call(__pyx_builtin_round, __pyx_t_1, NULL); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 917, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_6);
      __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
      __Pyx_DECREF_SET(__pyx_v_x0, __pyx_t_6);
      __pyx_t_6 = 0;

      /* "fontTools/misc/bezierTools.py":918
 *         elif x2 - x1 < epsilon:
 *             x0 = round(x0, epsilonDigits)
 *             x1 = x2 = round((x1 + x2) / 2.0, epsilonDigits)             # <<<<<<<<<<<<<<
 *         else:
 *             x0 = round(x0, epsilonDigits)
 */
      __pyx_t_6 = PyNumber_Add(__pyx_v_x1, __pyx_v_x2); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 918, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_6);
      __pyx_t_1 = __Pyx_PyFloat_TrueDivideObjC(__pyx_t_6, __pyx_float_2_0, 2.0, 0, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 918, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
      __Pyx_GetModuleGlobalName(__pyx_t_6, __pyx_n_s_epsilonDigits); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 918, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_6);
      __pyx_t_3 = PyTuple_New(2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 918, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
      __Pyx_GIVEREF(__pyx_t_1);
      if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_1)) __PYX_ERR(0, 918, __pyx_L1_error);
      __Pyx_GIVEREF(__pyx_t_6);
      if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_t_6)) __PYX_ERR(0, 918, __pyx_L1_error);
      __pyx_t_1 = 0;
      __pyx_t_6 = 0;
      __pyx_t_6 = __Pyx_PyObject_Call(__pyx_builtin_round, __pyx_t_3, NULL); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 918, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_6);
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __Pyx_INCREF(__pyx_t_6);
      __Pyx_DECREF_SET(__pyx_v_x1, __pyx_t_6);
      __Pyx_INCREF(__pyx_t_6);
      __Pyx_DECREF_SET(__pyx_v_x2, __pyx_t_6);
      __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;

      /* "fontTools/misc/bezierTools.py":916
 *             x0 = x1 = round((x0 + x1) / 2.0, epsilonDigits)
 *             x2 = round(x2, epsilonDigits)
 *         elif x2 - x1 < epsilon:             # <<<<<<<<<<<<<<
 *             x0 = round(x0, epsilonDigits)
 *             x1 = x2 = round((x1 + x2) / 2.0, epsilonDigits)
 */
      goto __pyx_L7;
    }

    /* "fontTools/misc/bezierTools.py":920
 *             x1 = x2 = round((x1 + x2) / 2.0, epsilonDigits)
 *         else:
 *             x0 = round(x0, epsilonDigits)             # <<<<<<<<<<<<<<
 *             x1 = round(x1, epsilonDigits)
 *             x2 = round(x2, epsilonDigits)
 */
    /*else*/ {
      __Pyx_GetModuleGlobalName(__pyx_t_6, __pyx_n_s_epsilonDigits); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 920, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_6);
      __pyx_t_3 = PyTuple_New(2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 920, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
      __Pyx_INCREF(__pyx_v_x0);
      __Pyx_GIVEREF(__pyx_v_x0);
      if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_v_x0)) __PYX_ERR(0, 920, __pyx_L1_error);
      __Pyx_GIVEREF(__pyx_t_6);
      if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_t_6)) __PYX_ERR(0, 920, __pyx_L1_error);
      __pyx_t_6 = 0;
      __pyx_t_6 = __Pyx_PyObject_Call(__pyx_builtin_round, __pyx_t_3, NULL); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 920, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_6);
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __Pyx_DECREF_SET(__pyx_v_x0, __pyx_t_6);
      __pyx_t_6 = 0;

      /* "fontTools/misc/bezierTools.py":921
 *         else:
 *             x0 = round(x0, epsilonDigits)
 *             x1 = round(x1, epsilonDigits)             # <<<<<<<<<<<<<<
 *             x2 = round(x2, epsilonDigits)
 *         return [x0, x1, x2]
 */
      __Pyx_GetModuleGlobalName(__pyx_t_6, __pyx_n_s_epsilonDigits); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 921, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_6);
      __pyx_t_3 = PyTuple_New(2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 921, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
      __Pyx_INCREF(__pyx_v_x1);
      __Pyx_GIVEREF(__pyx_v_x1);
      if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_v_x1)) __PYX_ERR(0, 921, __pyx_L1_error);
      __Pyx_GIVEREF(__pyx_t_6);
      if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_t_6)) __PYX_ERR(0, 921, __pyx_L1_error);
      __pyx_t_6 = 0;
      __pyx_t_6 = __Pyx_PyObject_Call(__pyx_builtin_round, __pyx_t_3, NULL); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 921, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_6);
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __Pyx_DECREF_SET(__pyx_v_x1, __pyx_t_6);
      __pyx_t_6 = 0;

      /* "fontTools/misc/bezierTools.py":922
 *             x0 = round(x0, epsilonDigits)
 *             x1 = round(x1, epsilonDigits)
 *             x2 = round(x2, epsilonDigits)             # <<<<<<<<<<<<<<
 *         return [x0, x1, x2]
 *     else:
 */
      __Pyx_GetModuleGlobalName(__pyx_t_6, __pyx_n_s_epsilonDigits); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 922, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_6);
      __pyx_t_3 = PyTuple_New(2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 922, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
      __Pyx_INCREF(__pyx_v_x2);
      __Pyx_GIVEREF(__pyx_v_x2);
      if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_v_x2)) __PYX_ERR(0, 922, __pyx_L1_error);
      __Pyx_GIVEREF(__pyx_t_6);
      if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_t_6)) __PYX_ERR(0, 922, __pyx_L1_error);
      __pyx_t_6 = 0;
      __pyx_t_6 = __Pyx_PyObject_Call(__pyx_builtin_round, __pyx_t_3, NULL); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 922, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_6);
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __Pyx_DECREF_SET(__pyx_v_x2, __pyx_t_6);
      __pyx_t_6 = 0;
    }
    __pyx_L7:;

    /* "fontTools/misc/bezierTools.py":923
 *             x1 = round(x1, epsilonDigits)
 *             x2 = round(x2, epsilonDigits)
 *         return [x0, x1, x2]             # <<<<<<<<<<<<<<
 *     else:
 *         x = pow(sqrt(R2_Q3) + abs(R), 1 / 3.0)
 */
    __Pyx_XDECREF(__pyx_r);
    __pyx_t_6 = PyList_New(3); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 923, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __Pyx_INCREF(__pyx_v_x0);
    __Pyx_GIVEREF(__pyx_v_x0);
    if (__Pyx_PyList_SET_ITEM(__pyx_t_6, 0, __pyx_v_x0)) __PYX_ERR(0, 923, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_x1);
    __Pyx_GIVEREF(__pyx_v_x1);
    if (__Pyx_PyList_SET_ITEM(__pyx_t_6, 1, __pyx_v_x1)) __PYX_ERR(0, 923, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_x2);
    __Pyx_GIVEREF(__pyx_v_x2);
    if (__Pyx_PyList_SET_ITEM(__pyx_t_6, 2, __pyx_v_x2)) __PYX_ERR(0, 923, __pyx_L1_error);
    __pyx_r = __pyx_t_6;
    __pyx_t_6 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":901
 *         x = round(-a1 / 3.0, epsilonDigits)
 *         return [x, x, x]
 *     elif R2_Q3 <= epsilon * 0.5:             # <<<<<<<<<<<<<<
 *         # The epsilon * .5 above ensures that Q3 is not zero.
 *         theta = acos(max(min(R / sqrt(Q3), 1.0), -1.0))
 */
  }

  /* "fontTools/misc/bezierTools.py":925
 *         return [x0, x1, x2]
 *     else:
 *         x = pow(sqrt(R2_Q3) + abs(R), 1 / 3.0)             # <<<<<<<<<<<<<<
 *         x = x + Q / x
 *         if R >= 0.0:
 */
  /*else*/ {
    __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_sqrt); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 925, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_1 = NULL;
    __pyx_t_5 = 0;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_3))) {
      __pyx_t_1 = PyMethod_GET_SELF(__pyx_t_3);
      if (likely(__pyx_t_1)) {
        PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_3);
        __Pyx_INCREF(__pyx_t_1);
        __Pyx_INCREF(function);
        __Pyx_DECREF_SET(__pyx_t_3, function);
        __pyx_t_5 = 1;
      }
    }
    #endif
    {
      PyObject *__pyx_callargs[2] = {__pyx_t_1, __pyx_v_R2_Q3};
      __pyx_t_6 = __Pyx_PyObject_FastCall(__pyx_t_3, __pyx_callargs+1-__pyx_t_5, 1+__pyx_t_5);
      __Pyx_XDECREF(__pyx_t_1); __pyx_t_1 = 0;
      if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 925, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_6);
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    }
    __pyx_t_3 = __Pyx_PyNumber_Absolute(__pyx_v_R); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 925, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_1 = PyNumber_Add(__pyx_t_6, __pyx_t_3); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 925, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_3 = PyFloat_FromDouble((1.0 / 3.0)); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 925, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_6 = __Pyx_PyNumber_Power2(__pyx_t_1, __pyx_t_3); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 925, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_v_x = __pyx_t_6;
    __pyx_t_6 = 0;

    /* "fontTools/misc/bezierTools.py":926
 *     else:
 *         x = pow(sqrt(R2_Q3) + abs(R), 1 / 3.0)
 *         x = x + Q / x             # <<<<<<<<<<<<<<
 *         if R >= 0.0:
 *             x = -x
 */
    __pyx_t_6 = __Pyx_PyNumber_Divide(__pyx_v_Q, __pyx_v_x); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 926, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __pyx_t_3 = PyNumber_Add(__pyx_v_x, __pyx_t_6); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 926, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __Pyx_DECREF_SET(__pyx_v_x, __pyx_t_3);
    __pyx_t_3 = 0;

    /* "fontTools/misc/bezierTools.py":927
 *         x = pow(sqrt(R2_Q3) + abs(R), 1 / 3.0)
 *         x = x + Q / x
 *         if R >= 0.0:             # <<<<<<<<<<<<<<
 *             x = -x
 *         x = round(x - a1 / 3.0, epsilonDigits)
 */
    __pyx_t_3 = PyObject_RichCompare(__pyx_v_R, __pyx_float_0_0, Py_GE); __Pyx_XGOTREF(__pyx_t_3); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 927, __pyx_L1_error)
    __pyx_t_4 = __Pyx_PyObject_IsTrue(__pyx_t_3); if (unlikely((__pyx_t_4 < 0))) __PYX_ERR(0, 927, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (__pyx_t_4) {

      /* "fontTools/misc/bezierTools.py":928
 *         x = x + Q / x
 *         if R >= 0.0:
 *             x = -x             # <<<<<<<<<<<<<<
 *         x = round(x - a1 / 3.0, epsilonDigits)
 *         return [x]
 */
      __pyx_t_3 = PyNumber_Negative(__pyx_v_x); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 928, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
      __Pyx_DECREF_SET(__pyx_v_x, __pyx_t_3);
      __pyx_t_3 = 0;

      /* "fontTools/misc/bezierTools.py":927
 *         x = pow(sqrt(R2_Q3) + abs(R), 1 / 3.0)
 *         x = x + Q / x
 *         if R >= 0.0:             # <<<<<<<<<<<<<<
 *             x = -x
 *         x = round(x - a1 / 3.0, epsilonDigits)
 */
    }

    /* "fontTools/misc/bezierTools.py":929
 *         if R >= 0.0:
 *             x = -x
 *         x = round(x - a1 / 3.0, epsilonDigits)             # <<<<<<<<<<<<<<
 *         return [x]
 * 
 */
    __pyx_t_3 = __Pyx_PyFloat_TrueDivideObjC(__pyx_v_a1, __pyx_float_3_0, 3.0, 0, 0); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 929, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_6 = PyNumber_Subtract(__pyx_v_x, __pyx_t_3); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 929, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_epsilonDigits); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 929, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_1 = PyTuple_New(2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 929, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_GIVEREF(__pyx_t_6);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_t_6)) __PYX_ERR(0, 929, __pyx_L1_error);
    __Pyx_GIVEREF(__pyx_t_3);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_t_3)) __PYX_ERR(0, 929, __pyx_L1_error);
    __pyx_t_6 = 0;
    __pyx_t_3 = 0;
    __pyx_t_3 = __Pyx_PyObject_Call(__pyx_builtin_round, __pyx_t_1, NULL); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 929, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_DECREF_SET(__pyx_v_x, __pyx_t_3);
    __pyx_t_3 = 0;

    /* "fontTools/misc/bezierTools.py":930
 *             x = -x
 *         x = round(x - a1 / 3.0, epsilonDigits)
 *         return [x]             # <<<<<<<<<<<<<<
 * 
 * 
 */
    __Pyx_XDECREF(__pyx_r);
    __pyx_t_3 = PyList_New(1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 930, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_INCREF(__pyx_v_x);
    __Pyx_GIVEREF(__pyx_v_x);
    if (__Pyx_PyList_SET_ITEM(__pyx_t_3, 0, __pyx_v_x)) __PYX_ERR(0, 930, __pyx_L1_error);
    __pyx_r = __pyx_t_3;
    __pyx_t_3 = 0;
    goto __pyx_L0;
  }

  /* "fontTools/misc/bezierTools.py":841
 * 
 * 
 * def solveCubic(a, b, c, d):             # <<<<<<<<<<<<<<
 *     """Solve a cubic equation.
 * 
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_XDECREF(__pyx_t_10);
  __Pyx_XDECREF(__pyx_t_11);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.solveCubic", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_a1);
  __Pyx_XDECREF(__pyx_v_a2);
  __Pyx_XDECREF(__pyx_v_a3);
  __Pyx_XDECREF(__pyx_v_Q);
  __Pyx_XDECREF(__pyx_v_R);
  __Pyx_XDECREF(__pyx_v_R2);
  __Pyx_XDECREF(__pyx_v_Q3);
  __Pyx_XDECREF(__pyx_v_R2_Q3);
  __Pyx_XDECREF(__pyx_v_x);
  __Pyx_XDECREF(__pyx_v_theta);
  __Pyx_XDECREF(__pyx_v_rQ2);
  __Pyx_XDECREF(__pyx_v_a1_3);
  __Pyx_XDECREF(__pyx_v_x0);
  __Pyx_XDECREF(__pyx_v_x1);
  __Pyx_XDECREF(__pyx_v_x2);
  __Pyx_XDECREF(__pyx_v_a);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":938
 * 
 * 
 * def calcQuadraticParameters(pt1, pt2, pt3):             # <<<<<<<<<<<<<<
 *     x2, y2 = pt2
 *     x3, y3 = pt3
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_51calcQuadraticParameters(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_50calcQuadraticParameters, "calcQuadraticParameters(pt1, pt2, pt3)");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_51calcQuadraticParameters = {"calcQuadraticParameters", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_51calcQuadraticParameters, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_50calcQuadraticParameters};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_51calcQuadraticParameters(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_pt1 = 0;
  PyObject *__pyx_v_pt2 = 0;
  PyObject *__pyx_v_pt3 = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[3] = {0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("calcQuadraticParameters (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_pt1,&__pyx_n_s_pt2,&__pyx_n_s_pt3,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  3: values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt1)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 938, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt2)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[1]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 938, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("calcQuadraticParameters", 1, 3, 3, 1); __PYX_ERR(0, 938, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt3)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[2]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 938, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("calcQuadraticParameters", 1, 3, 3, 2); __PYX_ERR(0, 938, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "calcQuadraticParameters") < 0)) __PYX_ERR(0, 938, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs != 3)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
      values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
      values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
    }
    __pyx_v_pt1 = values[0];
    __pyx_v_pt2 = values[1];
    __pyx_v_pt3 = values[2];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("calcQuadraticParameters", 1, 3, 3, __pyx_nargs); __PYX_ERR(0, 938, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.calcQuadraticParameters", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_50calcQuadraticParameters(__pyx_self, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3);

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_50calcQuadraticParameters(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3) {
  PyObject *__pyx_v_x2 = NULL;
  PyObject *__pyx_v_y2 = NULL;
  PyObject *__pyx_v_x3 = NULL;
  PyObject *__pyx_v_y3 = NULL;
  PyObject *__pyx_v_cx = NULL;
  PyObject *__pyx_v_cy = NULL;
  PyObject *__pyx_v_bx = NULL;
  PyObject *__pyx_v_by = NULL;
  PyObject *__pyx_v_ax = NULL;
  PyObject *__pyx_v_ay = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *(*__pyx_t_4)(PyObject *);
  PyObject *__pyx_t_5 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("calcQuadraticParameters", 1);

  /* "fontTools/misc/bezierTools.py":939
 * 
 * def calcQuadraticParameters(pt1, pt2, pt3):
 *     x2, y2 = pt2             # <<<<<<<<<<<<<<
 *     x3, y3 = pt3
 *     cx, cy = pt1
 */
  if ((likely(PyTuple_CheckExact(__pyx_v_pt2))) || (PyList_CheckExact(__pyx_v_pt2))) {
    PyObject* sequence = __pyx_v_pt2;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 939, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 1); 
    } else {
      __pyx_t_1 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_2 = PyList_GET_ITEM(sequence, 1); 
    }
    __Pyx_INCREF(__pyx_t_1);
    __Pyx_INCREF(__pyx_t_2);
    #else
    __pyx_t_1 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 939, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 939, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_3 = PyObject_GetIter(__pyx_v_pt2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 939, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_3);
    index = 0; __pyx_t_1 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_1)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    index = 1; __pyx_t_2 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_2)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_4(__pyx_t_3), 2) < 0) __PYX_ERR(0, 939, __pyx_L1_error)
    __pyx_t_4 = NULL;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    goto __pyx_L4_unpacking_done;
    __pyx_L3_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 939, __pyx_L1_error)
    __pyx_L4_unpacking_done:;
  }
  __pyx_v_x2 = __pyx_t_1;
  __pyx_t_1 = 0;
  __pyx_v_y2 = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":940
 * def calcQuadraticParameters(pt1, pt2, pt3):
 *     x2, y2 = pt2
 *     x3, y3 = pt3             # <<<<<<<<<<<<<<
 *     cx, cy = pt1
 *     bx = (x2 - cx) * 2.0
 */
  if ((likely(PyTuple_CheckExact(__pyx_v_pt3))) || (PyList_CheckExact(__pyx_v_pt3))) {
    PyObject* sequence = __pyx_v_pt3;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 940, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 1); 
    } else {
      __pyx_t_2 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_1 = PyList_GET_ITEM(sequence, 1); 
    }
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx_t_1);
    #else
    __pyx_t_2 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 940, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 940, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_3 = PyObject_GetIter(__pyx_v_pt3); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 940, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_3);
    index = 0; __pyx_t_2 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_2)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    index = 1; __pyx_t_1 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_1)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_4(__pyx_t_3), 2) < 0) __PYX_ERR(0, 940, __pyx_L1_error)
    __pyx_t_4 = NULL;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    goto __pyx_L6_unpacking_done;
    __pyx_L5_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 940, __pyx_L1_error)
    __pyx_L6_unpacking_done:;
  }
  __pyx_v_x3 = __pyx_t_2;
  __pyx_t_2 = 0;
  __pyx_v_y3 = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":941
 *     x2, y2 = pt2
 *     x3, y3 = pt3
 *     cx, cy = pt1             # <<<<<<<<<<<<<<
 *     bx = (x2 - cx) * 2.0
 *     by = (y2 - cy) * 2.0
 */
  if ((likely(PyTuple_CheckExact(__pyx_v_pt1))) || (PyList_CheckExact(__pyx_v_pt1))) {
    PyObject* sequence = __pyx_v_pt1;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 941, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 1); 
    } else {
      __pyx_t_1 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_2 = PyList_GET_ITEM(sequence, 1); 
    }
    __Pyx_INCREF(__pyx_t_1);
    __Pyx_INCREF(__pyx_t_2);
    #else
    __pyx_t_1 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 941, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 941, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_3 = PyObject_GetIter(__pyx_v_pt1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 941, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_3);
    index = 0; __pyx_t_1 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_1)) goto __pyx_L7_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    index = 1; __pyx_t_2 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_2)) goto __pyx_L7_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_4(__pyx_t_3), 2) < 0) __PYX_ERR(0, 941, __pyx_L1_error)
    __pyx_t_4 = NULL;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    goto __pyx_L8_unpacking_done;
    __pyx_L7_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 941, __pyx_L1_error)
    __pyx_L8_unpacking_done:;
  }
  __pyx_v_cx = __pyx_t_1;
  __pyx_t_1 = 0;
  __pyx_v_cy = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":942
 *     x3, y3 = pt3
 *     cx, cy = pt1
 *     bx = (x2 - cx) * 2.0             # <<<<<<<<<<<<<<
 *     by = (y2 - cy) * 2.0
 *     ax = x3 - cx - bx
 */
  __pyx_t_2 = PyNumber_Subtract(__pyx_v_x2, __pyx_v_cx); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 942, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_1 = PyNumber_Multiply(__pyx_t_2, __pyx_float_2_0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 942, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_v_bx = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":943
 *     cx, cy = pt1
 *     bx = (x2 - cx) * 2.0
 *     by = (y2 - cy) * 2.0             # <<<<<<<<<<<<<<
 *     ax = x3 - cx - bx
 *     ay = y3 - cy - by
 */
  __pyx_t_1 = PyNumber_Subtract(__pyx_v_y2, __pyx_v_cy); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 943, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = PyNumber_Multiply(__pyx_t_1, __pyx_float_2_0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 943, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_v_by = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":944
 *     bx = (x2 - cx) * 2.0
 *     by = (y2 - cy) * 2.0
 *     ax = x3 - cx - bx             # <<<<<<<<<<<<<<
 *     ay = y3 - cy - by
 *     return (ax, ay), (bx, by), (cx, cy)
 */
  __pyx_t_2 = PyNumber_Subtract(__pyx_v_x3, __pyx_v_cx); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 944, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_1 = PyNumber_Subtract(__pyx_t_2, __pyx_v_bx); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 944, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_v_ax = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":945
 *     by = (y2 - cy) * 2.0
 *     ax = x3 - cx - bx
 *     ay = y3 - cy - by             # <<<<<<<<<<<<<<
 *     return (ax, ay), (bx, by), (cx, cy)
 * 
 */
  __pyx_t_1 = PyNumber_Subtract(__pyx_v_y3, __pyx_v_cy); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 945, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = PyNumber_Subtract(__pyx_t_1, __pyx_v_by); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 945, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_v_ay = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":946
 *     ax = x3 - cx - bx
 *     ay = y3 - cy - by
 *     return (ax, ay), (bx, by), (cx, cy)             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_2 = PyTuple_New(2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 946, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_INCREF(__pyx_v_ax);
  __Pyx_GIVEREF(__pyx_v_ax);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_v_ax)) __PYX_ERR(0, 946, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_ay);
  __Pyx_GIVEREF(__pyx_v_ay);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 1, __pyx_v_ay)) __PYX_ERR(0, 946, __pyx_L1_error);
  __pyx_t_1 = PyTuple_New(2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 946, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_INCREF(__pyx_v_bx);
  __Pyx_GIVEREF(__pyx_v_bx);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_v_bx)) __PYX_ERR(0, 946, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_by);
  __Pyx_GIVEREF(__pyx_v_by);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_v_by)) __PYX_ERR(0, 946, __pyx_L1_error);
  __pyx_t_3 = PyTuple_New(2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 946, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_INCREF(__pyx_v_cx);
  __Pyx_GIVEREF(__pyx_v_cx);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_v_cx)) __PYX_ERR(0, 946, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_cy);
  __Pyx_GIVEREF(__pyx_v_cy);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_v_cy)) __PYX_ERR(0, 946, __pyx_L1_error);
  __pyx_t_5 = PyTuple_New(3); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 946, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_GIVEREF(__pyx_t_2);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_t_2)) __PYX_ERR(0, 946, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_1);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 1, __pyx_t_1)) __PYX_ERR(0, 946, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_3);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 2, __pyx_t_3)) __PYX_ERR(0, 946, __pyx_L1_error);
  __pyx_t_2 = 0;
  __pyx_t_1 = 0;
  __pyx_t_3 = 0;
  __pyx_r = __pyx_t_5;
  __pyx_t_5 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":938
 * 
 * 
 * def calcQuadraticParameters(pt1, pt2, pt3):             # <<<<<<<<<<<<<<
 *     x2, y2 = pt2
 *     x3, y3 = pt3
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.calcQuadraticParameters", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_x2);
  __Pyx_XDECREF(__pyx_v_y2);
  __Pyx_XDECREF(__pyx_v_x3);
  __Pyx_XDECREF(__pyx_v_y3);
  __Pyx_XDECREF(__pyx_v_cx);
  __Pyx_XDECREF(__pyx_v_cy);
  __Pyx_XDECREF(__pyx_v_bx);
  __Pyx_XDECREF(__pyx_v_by);
  __Pyx_XDECREF(__pyx_v_ax);
  __Pyx_XDECREF(__pyx_v_ay);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":949
 * 
 * 
 * def calcCubicParameters(pt1, pt2, pt3, pt4):             # <<<<<<<<<<<<<<
 *     x2, y2 = pt2
 *     x3, y3 = pt3
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_53calcCubicParameters(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_52calcCubicParameters, "calcCubicParameters(pt1, pt2, pt3, pt4)");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_53calcCubicParameters = {"calcCubicParameters", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_53calcCubicParameters, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_52calcCubicParameters};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_53calcCubicParameters(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_pt1 = 0;
  PyObject *__pyx_v_pt2 = 0;
  PyObject *__pyx_v_pt3 = 0;
  PyObject *__pyx_v_pt4 = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[4] = {0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("calcCubicParameters (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_pt1,&__pyx_n_s_pt2,&__pyx_n_s_pt3,&__pyx_n_s_pt4,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  4: values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt1)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 949, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt2)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[1]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 949, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("calcCubicParameters", 1, 4, 4, 1); __PYX_ERR(0, 949, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt3)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[2]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 949, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("calcCubicParameters", 1, 4, 4, 2); __PYX_ERR(0, 949, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  3:
        if (likely((values[3] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt4)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[3]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 949, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("calcCubicParameters", 1, 4, 4, 3); __PYX_ERR(0, 949, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "calcCubicParameters") < 0)) __PYX_ERR(0, 949, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs != 4)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
      values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
      values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
      values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
    }
    __pyx_v_pt1 = values[0];
    __pyx_v_pt2 = values[1];
    __pyx_v_pt3 = values[2];
    __pyx_v_pt4 = values[3];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("calcCubicParameters", 1, 4, 4, __pyx_nargs); __PYX_ERR(0, 949, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.calcCubicParameters", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_52calcCubicParameters(__pyx_self, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3, __pyx_v_pt4);

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_52calcCubicParameters(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_pt4) {
  PyObject *__pyx_v_x2 = NULL;
  PyObject *__pyx_v_y2 = NULL;
  PyObject *__pyx_v_x3 = NULL;
  PyObject *__pyx_v_y3 = NULL;
  PyObject *__pyx_v_x4 = NULL;
  PyObject *__pyx_v_y4 = NULL;
  PyObject *__pyx_v_dx = NULL;
  PyObject *__pyx_v_dy = NULL;
  PyObject *__pyx_v_cx = NULL;
  PyObject *__pyx_v_cy = NULL;
  PyObject *__pyx_v_bx = NULL;
  PyObject *__pyx_v_by = NULL;
  PyObject *__pyx_v_ax = NULL;
  PyObject *__pyx_v_ay = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *(*__pyx_t_4)(PyObject *);
  PyObject *__pyx_t_5 = NULL;
  PyObject *__pyx_t_6 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("calcCubicParameters", 1);

  /* "fontTools/misc/bezierTools.py":950
 * 
 * def calcCubicParameters(pt1, pt2, pt3, pt4):
 *     x2, y2 = pt2             # <<<<<<<<<<<<<<
 *     x3, y3 = pt3
 *     x4, y4 = pt4
 */
  if ((likely(PyTuple_CheckExact(__pyx_v_pt2))) || (PyList_CheckExact(__pyx_v_pt2))) {
    PyObject* sequence = __pyx_v_pt2;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 950, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 1); 
    } else {
      __pyx_t_1 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_2 = PyList_GET_ITEM(sequence, 1); 
    }
    __Pyx_INCREF(__pyx_t_1);
    __Pyx_INCREF(__pyx_t_2);
    #else
    __pyx_t_1 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 950, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 950, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_3 = PyObject_GetIter(__pyx_v_pt2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 950, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_3);
    index = 0; __pyx_t_1 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_1)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    index = 1; __pyx_t_2 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_2)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_4(__pyx_t_3), 2) < 0) __PYX_ERR(0, 950, __pyx_L1_error)
    __pyx_t_4 = NULL;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    goto __pyx_L4_unpacking_done;
    __pyx_L3_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 950, __pyx_L1_error)
    __pyx_L4_unpacking_done:;
  }
  __pyx_v_x2 = __pyx_t_1;
  __pyx_t_1 = 0;
  __pyx_v_y2 = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":951
 * def calcCubicParameters(pt1, pt2, pt3, pt4):
 *     x2, y2 = pt2
 *     x3, y3 = pt3             # <<<<<<<<<<<<<<
 *     x4, y4 = pt4
 *     dx, dy = pt1
 */
  if ((likely(PyTuple_CheckExact(__pyx_v_pt3))) || (PyList_CheckExact(__pyx_v_pt3))) {
    PyObject* sequence = __pyx_v_pt3;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 951, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 1); 
    } else {
      __pyx_t_2 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_1 = PyList_GET_ITEM(sequence, 1); 
    }
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx_t_1);
    #else
    __pyx_t_2 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 951, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 951, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_3 = PyObject_GetIter(__pyx_v_pt3); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 951, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_3);
    index = 0; __pyx_t_2 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_2)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    index = 1; __pyx_t_1 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_1)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_4(__pyx_t_3), 2) < 0) __PYX_ERR(0, 951, __pyx_L1_error)
    __pyx_t_4 = NULL;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    goto __pyx_L6_unpacking_done;
    __pyx_L5_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 951, __pyx_L1_error)
    __pyx_L6_unpacking_done:;
  }
  __pyx_v_x3 = __pyx_t_2;
  __pyx_t_2 = 0;
  __pyx_v_y3 = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":952
 *     x2, y2 = pt2
 *     x3, y3 = pt3
 *     x4, y4 = pt4             # <<<<<<<<<<<<<<
 *     dx, dy = pt1
 *     cx = (x2 - dx) * 3.0
 */
  if ((likely(PyTuple_CheckExact(__pyx_v_pt4))) || (PyList_CheckExact(__pyx_v_pt4))) {
    PyObject* sequence = __pyx_v_pt4;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 952, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 1); 
    } else {
      __pyx_t_1 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_2 = PyList_GET_ITEM(sequence, 1); 
    }
    __Pyx_INCREF(__pyx_t_1);
    __Pyx_INCREF(__pyx_t_2);
    #else
    __pyx_t_1 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 952, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 952, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_3 = PyObject_GetIter(__pyx_v_pt4); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 952, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_3);
    index = 0; __pyx_t_1 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_1)) goto __pyx_L7_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    index = 1; __pyx_t_2 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_2)) goto __pyx_L7_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_4(__pyx_t_3), 2) < 0) __PYX_ERR(0, 952, __pyx_L1_error)
    __pyx_t_4 = NULL;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    goto __pyx_L8_unpacking_done;
    __pyx_L7_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 952, __pyx_L1_error)
    __pyx_L8_unpacking_done:;
  }
  __pyx_v_x4 = __pyx_t_1;
  __pyx_t_1 = 0;
  __pyx_v_y4 = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":953
 *     x3, y3 = pt3
 *     x4, y4 = pt4
 *     dx, dy = pt1             # <<<<<<<<<<<<<<
 *     cx = (x2 - dx) * 3.0
 *     cy = (y2 - dy) * 3.0
 */
  if ((likely(PyTuple_CheckExact(__pyx_v_pt1))) || (PyList_CheckExact(__pyx_v_pt1))) {
    PyObject* sequence = __pyx_v_pt1;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 953, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 1); 
    } else {
      __pyx_t_2 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_1 = PyList_GET_ITEM(sequence, 1); 
    }
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx_t_1);
    #else
    __pyx_t_2 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 953, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 953, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_3 = PyObject_GetIter(__pyx_v_pt1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 953, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_3);
    index = 0; __pyx_t_2 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_2)) goto __pyx_L9_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    index = 1; __pyx_t_1 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_1)) goto __pyx_L9_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_4(__pyx_t_3), 2) < 0) __PYX_ERR(0, 953, __pyx_L1_error)
    __pyx_t_4 = NULL;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    goto __pyx_L10_unpacking_done;
    __pyx_L9_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 953, __pyx_L1_error)
    __pyx_L10_unpacking_done:;
  }
  __pyx_v_dx = __pyx_t_2;
  __pyx_t_2 = 0;
  __pyx_v_dy = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":954
 *     x4, y4 = pt4
 *     dx, dy = pt1
 *     cx = (x2 - dx) * 3.0             # <<<<<<<<<<<<<<
 *     cy = (y2 - dy) * 3.0
 *     bx = (x3 - x2) * 3.0 - cx
 */
  __pyx_t_1 = PyNumber_Subtract(__pyx_v_x2, __pyx_v_dx); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 954, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = PyNumber_Multiply(__pyx_t_1, __pyx_float_3_0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 954, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_v_cx = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":955
 *     dx, dy = pt1
 *     cx = (x2 - dx) * 3.0
 *     cy = (y2 - dy) * 3.0             # <<<<<<<<<<<<<<
 *     bx = (x3 - x2) * 3.0 - cx
 *     by = (y3 - y2) * 3.0 - cy
 */
  __pyx_t_2 = PyNumber_Subtract(__pyx_v_y2, __pyx_v_dy); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 955, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_1 = PyNumber_Multiply(__pyx_t_2, __pyx_float_3_0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 955, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_v_cy = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":956
 *     cx = (x2 - dx) * 3.0
 *     cy = (y2 - dy) * 3.0
 *     bx = (x3 - x2) * 3.0 - cx             # <<<<<<<<<<<<<<
 *     by = (y3 - y2) * 3.0 - cy
 *     ax = x4 - dx - cx - bx
 */
  __pyx_t_1 = PyNumber_Subtract(__pyx_v_x3, __pyx_v_x2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 956, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = PyNumber_Multiply(__pyx_t_1, __pyx_float_3_0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 956, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyNumber_Subtract(__pyx_t_2, __pyx_v_cx); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 956, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_v_bx = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":957
 *     cy = (y2 - dy) * 3.0
 *     bx = (x3 - x2) * 3.0 - cx
 *     by = (y3 - y2) * 3.0 - cy             # <<<<<<<<<<<<<<
 *     ax = x4 - dx - cx - bx
 *     ay = y4 - dy - cy - by
 */
  __pyx_t_1 = PyNumber_Subtract(__pyx_v_y3, __pyx_v_y2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 957, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = PyNumber_Multiply(__pyx_t_1, __pyx_float_3_0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 957, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyNumber_Subtract(__pyx_t_2, __pyx_v_cy); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 957, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_v_by = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":958
 *     bx = (x3 - x2) * 3.0 - cx
 *     by = (y3 - y2) * 3.0 - cy
 *     ax = x4 - dx - cx - bx             # <<<<<<<<<<<<<<
 *     ay = y4 - dy - cy - by
 *     return (ax, ay), (bx, by), (cx, cy), (dx, dy)
 */
  __pyx_t_1 = PyNumber_Subtract(__pyx_v_x4, __pyx_v_dx); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 958, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = PyNumber_Subtract(__pyx_t_1, __pyx_v_cx); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 958, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyNumber_Subtract(__pyx_t_2, __pyx_v_bx); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 958, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_v_ax = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":959
 *     by = (y3 - y2) * 3.0 - cy
 *     ax = x4 - dx - cx - bx
 *     ay = y4 - dy - cy - by             # <<<<<<<<<<<<<<
 *     return (ax, ay), (bx, by), (cx, cy), (dx, dy)
 * 
 */
  __pyx_t_1 = PyNumber_Subtract(__pyx_v_y4, __pyx_v_dy); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 959, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = PyNumber_Subtract(__pyx_t_1, __pyx_v_cy); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 959, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyNumber_Subtract(__pyx_t_2, __pyx_v_by); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 959, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_v_ay = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":960
 *     ax = x4 - dx - cx - bx
 *     ay = y4 - dy - cy - by
 *     return (ax, ay), (bx, by), (cx, cy), (dx, dy)             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = PyTuple_New(2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 960, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_INCREF(__pyx_v_ax);
  __Pyx_GIVEREF(__pyx_v_ax);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_v_ax)) __PYX_ERR(0, 960, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_ay);
  __Pyx_GIVEREF(__pyx_v_ay);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_v_ay)) __PYX_ERR(0, 960, __pyx_L1_error);
  __pyx_t_2 = PyTuple_New(2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 960, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_INCREF(__pyx_v_bx);
  __Pyx_GIVEREF(__pyx_v_bx);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_v_bx)) __PYX_ERR(0, 960, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_by);
  __Pyx_GIVEREF(__pyx_v_by);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 1, __pyx_v_by)) __PYX_ERR(0, 960, __pyx_L1_error);
  __pyx_t_3 = PyTuple_New(2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 960, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_INCREF(__pyx_v_cx);
  __Pyx_GIVEREF(__pyx_v_cx);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_v_cx)) __PYX_ERR(0, 960, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_cy);
  __Pyx_GIVEREF(__pyx_v_cy);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_v_cy)) __PYX_ERR(0, 960, __pyx_L1_error);
  __pyx_t_5 = PyTuple_New(2); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 960, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_INCREF(__pyx_v_dx);
  __Pyx_GIVEREF(__pyx_v_dx);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_v_dx)) __PYX_ERR(0, 960, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_dy);
  __Pyx_GIVEREF(__pyx_v_dy);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 1, __pyx_v_dy)) __PYX_ERR(0, 960, __pyx_L1_error);
  __pyx_t_6 = PyTuple_New(4); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 960, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __Pyx_GIVEREF(__pyx_t_1);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 0, __pyx_t_1)) __PYX_ERR(0, 960, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_2);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 1, __pyx_t_2)) __PYX_ERR(0, 960, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_3);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 2, __pyx_t_3)) __PYX_ERR(0, 960, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_5);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 3, __pyx_t_5)) __PYX_ERR(0, 960, __pyx_L1_error);
  __pyx_t_1 = 0;
  __pyx_t_2 = 0;
  __pyx_t_3 = 0;
  __pyx_t_5 = 0;
  __pyx_r = __pyx_t_6;
  __pyx_t_6 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":949
 * 
 * 
 * def calcCubicParameters(pt1, pt2, pt3, pt4):             # <<<<<<<<<<<<<<
 *     x2, y2 = pt2
 *     x3, y3 = pt3
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.calcCubicParameters", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_x2);
  __Pyx_XDECREF(__pyx_v_y2);
  __Pyx_XDECREF(__pyx_v_x3);
  __Pyx_XDECREF(__pyx_v_y3);
  __Pyx_XDECREF(__pyx_v_x4);
  __Pyx_XDECREF(__pyx_v_y4);
  __Pyx_XDECREF(__pyx_v_dx);
  __Pyx_XDECREF(__pyx_v_dy);
  __Pyx_XDECREF(__pyx_v_cx);
  __Pyx_XDECREF(__pyx_v_cy);
  __Pyx_XDECREF(__pyx_v_bx);
  __Pyx_XDECREF(__pyx_v_by);
  __Pyx_XDECREF(__pyx_v_ax);
  __Pyx_XDECREF(__pyx_v_ay);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":963
 * 
 * 
 * @cython.cfunc             # <<<<<<<<<<<<<<
 * @cython.inline
 * @cython.locals(
 */

static CYTHON_INLINE PyObject *__pyx_f_9fontTools_4misc_11bezierTools_calcCubicParametersC(__pyx_t_double_complex __pyx_v_pt1, __pyx_t_double_complex __pyx_v_pt2, __pyx_t_double_complex __pyx_v_pt3, __pyx_t_double_complex __pyx_v_pt4) {
  __pyx_t_double_complex __pyx_v_a;
  __pyx_t_double_complex __pyx_v_b;
  __pyx_t_double_complex __pyx_v_c;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("calcCubicParametersC", 1);

  /* "fontTools/misc/bezierTools.py":975
 * )
 * def calcCubicParametersC(pt1, pt2, pt3, pt4):
 *     c = (pt2 - pt1) * 3.0             # <<<<<<<<<<<<<<
 *     b = (pt3 - pt2) * 3.0 - c
 *     a = pt4 - pt1 - c - b
 */
  __pyx_v_c = __Pyx_c_prod_double(__Pyx_c_diff_double(__pyx_v_pt2, __pyx_v_pt1), __pyx_t_double_complex_from_parts(3.0, 0));

  /* "fontTools/misc/bezierTools.py":976
 * def calcCubicParametersC(pt1, pt2, pt3, pt4):
 *     c = (pt2 - pt1) * 3.0
 *     b = (pt3 - pt2) * 3.0 - c             # <<<<<<<<<<<<<<
 *     a = pt4 - pt1 - c - b
 *     return (a, b, c, pt1)
 */
  __pyx_v_b = __Pyx_c_diff_double(__Pyx_c_prod_double(__Pyx_c_diff_double(__pyx_v_pt3, __pyx_v_pt2), __pyx_t_double_complex_from_parts(3.0, 0)), __pyx_v_c);

  /* "fontTools/misc/bezierTools.py":977
 *     c = (pt2 - pt1) * 3.0
 *     b = (pt3 - pt2) * 3.0 - c
 *     a = pt4 - pt1 - c - b             # <<<<<<<<<<<<<<
 *     return (a, b, c, pt1)
 * 
 */
  __pyx_v_a = __Pyx_c_diff_double(__Pyx_c_diff_double(__Pyx_c_diff_double(__pyx_v_pt4, __pyx_v_pt1), __pyx_v_c), __pyx_v_b);

  /* "fontTools/misc/bezierTools.py":978
 *     b = (pt3 - pt2) * 3.0 - c
 *     a = pt4 - pt1 - c - b
 *     return (a, b, c, pt1)             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = __pyx_PyComplex_FromComplex(__pyx_v_a); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 978, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __pyx_PyComplex_FromComplex(__pyx_v_b); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 978, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = __pyx_PyComplex_FromComplex(__pyx_v_c); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 978, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_4 = __pyx_PyComplex_FromComplex(__pyx_v_pt1); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 978, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_5 = PyTuple_New(4); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 978, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_GIVEREF(__pyx_t_1);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_t_1)) __PYX_ERR(0, 978, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_2);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 1, __pyx_t_2)) __PYX_ERR(0, 978, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_3);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 2, __pyx_t_3)) __PYX_ERR(0, 978, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_4);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 3, __pyx_t_4)) __PYX_ERR(0, 978, __pyx_L1_error);
  __pyx_t_1 = 0;
  __pyx_t_2 = 0;
  __pyx_t_3 = 0;
  __pyx_t_4 = 0;
  __pyx_r = __pyx_t_5;
  __pyx_t_5 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":963
 * 
 * 
 * @cython.cfunc             # <<<<<<<<<<<<<<
 * @cython.inline
 * @cython.locals(
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.calcCubicParametersC", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = 0;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":981
 * 
 * 
 * def calcQuadraticPoints(a, b, c):             # <<<<<<<<<<<<<<
 *     ax, ay = a
 *     bx, by = b
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_55calcQuadraticPoints(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_54calcQuadraticPoints, "calcQuadraticPoints(a, b, c)");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_55calcQuadraticPoints = {"calcQuadraticPoints", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_55calcQuadraticPoints, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_54calcQuadraticPoints};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_55calcQuadraticPoints(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_a = 0;
  PyObject *__pyx_v_b = 0;
  PyObject *__pyx_v_c = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[3] = {0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("calcQuadraticPoints (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_a,&__pyx_n_s_b,&__pyx_n_s_c,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  3: values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_a)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 981, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_b)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[1]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 981, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("calcQuadraticPoints", 1, 3, 3, 1); __PYX_ERR(0, 981, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_c)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[2]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 981, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("calcQuadraticPoints", 1, 3, 3, 2); __PYX_ERR(0, 981, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "calcQuadraticPoints") < 0)) __PYX_ERR(0, 981, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs != 3)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
      values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
      values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
    }
    __pyx_v_a = values[0];
    __pyx_v_b = values[1];
    __pyx_v_c = values[2];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("calcQuadraticPoints", 1, 3, 3, __pyx_nargs); __PYX_ERR(0, 981, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.calcQuadraticPoints", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_54calcQuadraticPoints(__pyx_self, __pyx_v_a, __pyx_v_b, __pyx_v_c);

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_54calcQuadraticPoints(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_a, PyObject *__pyx_v_b, PyObject *__pyx_v_c) {
  PyObject *__pyx_v_ax = NULL;
  PyObject *__pyx_v_ay = NULL;
  PyObject *__pyx_v_bx = NULL;
  PyObject *__pyx_v_by = NULL;
  PyObject *__pyx_v_cx = NULL;
  PyObject *__pyx_v_cy = NULL;
  PyObject *__pyx_v_x1 = NULL;
  PyObject *__pyx_v_y1 = NULL;
  PyObject *__pyx_v_x2 = NULL;
  PyObject *__pyx_v_y2 = NULL;
  PyObject *__pyx_v_x3 = NULL;
  PyObject *__pyx_v_y3 = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *(*__pyx_t_4)(PyObject *);
  PyObject *__pyx_t_5 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("calcQuadraticPoints", 1);

  /* "fontTools/misc/bezierTools.py":982
 * 
 * def calcQuadraticPoints(a, b, c):
 *     ax, ay = a             # <<<<<<<<<<<<<<
 *     bx, by = b
 *     cx, cy = c
 */
  if ((likely(PyTuple_CheckExact(__pyx_v_a))) || (PyList_CheckExact(__pyx_v_a))) {
    PyObject* sequence = __pyx_v_a;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 982, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 1); 
    } else {
      __pyx_t_1 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_2 = PyList_GET_ITEM(sequence, 1); 
    }
    __Pyx_INCREF(__pyx_t_1);
    __Pyx_INCREF(__pyx_t_2);
    #else
    __pyx_t_1 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 982, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 982, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_3 = PyObject_GetIter(__pyx_v_a); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 982, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_3);
    index = 0; __pyx_t_1 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_1)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    index = 1; __pyx_t_2 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_2)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_4(__pyx_t_3), 2) < 0) __PYX_ERR(0, 982, __pyx_L1_error)
    __pyx_t_4 = NULL;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    goto __pyx_L4_unpacking_done;
    __pyx_L3_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 982, __pyx_L1_error)
    __pyx_L4_unpacking_done:;
  }
  __pyx_v_ax = __pyx_t_1;
  __pyx_t_1 = 0;
  __pyx_v_ay = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":983
 * def calcQuadraticPoints(a, b, c):
 *     ax, ay = a
 *     bx, by = b             # <<<<<<<<<<<<<<
 *     cx, cy = c
 *     x1 = cx
 */
  if ((likely(PyTuple_CheckExact(__pyx_v_b))) || (PyList_CheckExact(__pyx_v_b))) {
    PyObject* sequence = __pyx_v_b;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 983, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 1); 
    } else {
      __pyx_t_2 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_1 = PyList_GET_ITEM(sequence, 1); 
    }
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx_t_1);
    #else
    __pyx_t_2 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 983, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 983, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_3 = PyObject_GetIter(__pyx_v_b); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 983, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_3);
    index = 0; __pyx_t_2 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_2)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    index = 1; __pyx_t_1 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_1)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_4(__pyx_t_3), 2) < 0) __PYX_ERR(0, 983, __pyx_L1_error)
    __pyx_t_4 = NULL;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    goto __pyx_L6_unpacking_done;
    __pyx_L5_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 983, __pyx_L1_error)
    __pyx_L6_unpacking_done:;
  }
  __pyx_v_bx = __pyx_t_2;
  __pyx_t_2 = 0;
  __pyx_v_by = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":984
 *     ax, ay = a
 *     bx, by = b
 *     cx, cy = c             # <<<<<<<<<<<<<<
 *     x1 = cx
 *     y1 = cy
 */
  if ((likely(PyTuple_CheckExact(__pyx_v_c))) || (PyList_CheckExact(__pyx_v_c))) {
    PyObject* sequence = __pyx_v_c;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 984, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 1); 
    } else {
      __pyx_t_1 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_2 = PyList_GET_ITEM(sequence, 1); 
    }
    __Pyx_INCREF(__pyx_t_1);
    __Pyx_INCREF(__pyx_t_2);
    #else
    __pyx_t_1 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 984, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 984, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_3 = PyObject_GetIter(__pyx_v_c); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 984, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_3);
    index = 0; __pyx_t_1 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_1)) goto __pyx_L7_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    index = 1; __pyx_t_2 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_2)) goto __pyx_L7_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_4(__pyx_t_3), 2) < 0) __PYX_ERR(0, 984, __pyx_L1_error)
    __pyx_t_4 = NULL;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    goto __pyx_L8_unpacking_done;
    __pyx_L7_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 984, __pyx_L1_error)
    __pyx_L8_unpacking_done:;
  }
  __pyx_v_cx = __pyx_t_1;
  __pyx_t_1 = 0;
  __pyx_v_cy = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":985
 *     bx, by = b
 *     cx, cy = c
 *     x1 = cx             # <<<<<<<<<<<<<<
 *     y1 = cy
 *     x2 = (bx * 0.5) + cx
 */
  __Pyx_INCREF(__pyx_v_cx);
  __pyx_v_x1 = __pyx_v_cx;

  /* "fontTools/misc/bezierTools.py":986
 *     cx, cy = c
 *     x1 = cx
 *     y1 = cy             # <<<<<<<<<<<<<<
 *     x2 = (bx * 0.5) + cx
 *     y2 = (by * 0.5) + cy
 */
  __Pyx_INCREF(__pyx_v_cy);
  __pyx_v_y1 = __pyx_v_cy;

  /* "fontTools/misc/bezierTools.py":987
 *     x1 = cx
 *     y1 = cy
 *     x2 = (bx * 0.5) + cx             # <<<<<<<<<<<<<<
 *     y2 = (by * 0.5) + cy
 *     x3 = ax + bx + cx
 */
  __pyx_t_2 = PyNumber_Multiply(__pyx_v_bx, __pyx_float_0_5); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 987, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_1 = PyNumber_Add(__pyx_t_2, __pyx_v_cx); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 987, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_v_x2 = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":988
 *     y1 = cy
 *     x2 = (bx * 0.5) + cx
 *     y2 = (by * 0.5) + cy             # <<<<<<<<<<<<<<
 *     x3 = ax + bx + cx
 *     y3 = ay + by + cy
 */
  __pyx_t_1 = PyNumber_Multiply(__pyx_v_by, __pyx_float_0_5); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 988, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = PyNumber_Add(__pyx_t_1, __pyx_v_cy); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 988, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_v_y2 = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":989
 *     x2 = (bx * 0.5) + cx
 *     y2 = (by * 0.5) + cy
 *     x3 = ax + bx + cx             # <<<<<<<<<<<<<<
 *     y3 = ay + by + cy
 *     return (x1, y1), (x2, y2), (x3, y3)
 */
  __pyx_t_2 = PyNumber_Add(__pyx_v_ax, __pyx_v_bx); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 989, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_1 = PyNumber_Add(__pyx_t_2, __pyx_v_cx); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 989, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_v_x3 = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":990
 *     y2 = (by * 0.5) + cy
 *     x3 = ax + bx + cx
 *     y3 = ay + by + cy             # <<<<<<<<<<<<<<
 *     return (x1, y1), (x2, y2), (x3, y3)
 * 
 */
  __pyx_t_1 = PyNumber_Add(__pyx_v_ay, __pyx_v_by); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 990, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = PyNumber_Add(__pyx_t_1, __pyx_v_cy); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 990, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_v_y3 = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":991
 *     x3 = ax + bx + cx
 *     y3 = ay + by + cy
 *     return (x1, y1), (x2, y2), (x3, y3)             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_2 = PyTuple_New(2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 991, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_INCREF(__pyx_v_x1);
  __Pyx_GIVEREF(__pyx_v_x1);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_v_x1)) __PYX_ERR(0, 991, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_y1);
  __Pyx_GIVEREF(__pyx_v_y1);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 1, __pyx_v_y1)) __PYX_ERR(0, 991, __pyx_L1_error);
  __pyx_t_1 = PyTuple_New(2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 991, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_INCREF(__pyx_v_x2);
  __Pyx_GIVEREF(__pyx_v_x2);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_v_x2)) __PYX_ERR(0, 991, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_y2);
  __Pyx_GIVEREF(__pyx_v_y2);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_v_y2)) __PYX_ERR(0, 991, __pyx_L1_error);
  __pyx_t_3 = PyTuple_New(2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 991, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_INCREF(__pyx_v_x3);
  __Pyx_GIVEREF(__pyx_v_x3);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_v_x3)) __PYX_ERR(0, 991, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_y3);
  __Pyx_GIVEREF(__pyx_v_y3);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_v_y3)) __PYX_ERR(0, 991, __pyx_L1_error);
  __pyx_t_5 = PyTuple_New(3); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 991, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_GIVEREF(__pyx_t_2);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_t_2)) __PYX_ERR(0, 991, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_1);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 1, __pyx_t_1)) __PYX_ERR(0, 991, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_3);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 2, __pyx_t_3)) __PYX_ERR(0, 991, __pyx_L1_error);
  __pyx_t_2 = 0;
  __pyx_t_1 = 0;
  __pyx_t_3 = 0;
  __pyx_r = __pyx_t_5;
  __pyx_t_5 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":981
 * 
 * 
 * def calcQuadraticPoints(a, b, c):             # <<<<<<<<<<<<<<
 *     ax, ay = a
 *     bx, by = b
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.calcQuadraticPoints", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_ax);
  __Pyx_XDECREF(__pyx_v_ay);
  __Pyx_XDECREF(__pyx_v_bx);
  __Pyx_XDECREF(__pyx_v_by);
  __Pyx_XDECREF(__pyx_v_cx);
  __Pyx_XDECREF(__pyx_v_cy);
  __Pyx_XDECREF(__pyx_v_x1);
  __Pyx_XDECREF(__pyx_v_y1);
  __Pyx_XDECREF(__pyx_v_x2);
  __Pyx_XDECREF(__pyx_v_y2);
  __Pyx_XDECREF(__pyx_v_x3);
  __Pyx_XDECREF(__pyx_v_y3);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":994
 * 
 * 
 * def calcCubicPoints(a, b, c, d):             # <<<<<<<<<<<<<<
 *     ax, ay = a
 *     bx, by = b
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_57calcCubicPoints(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_56calcCubicPoints, "calcCubicPoints(a, b, c, d)");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_57calcCubicPoints = {"calcCubicPoints", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_57calcCubicPoints, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_56calcCubicPoints};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_57calcCubicPoints(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_a = 0;
  PyObject *__pyx_v_b = 0;
  PyObject *__pyx_v_c = 0;
  PyObject *__pyx_v_d = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[4] = {0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("calcCubicPoints (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_a,&__pyx_n_s_b,&__pyx_n_s_c,&__pyx_n_s_d,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  4: values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_a)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 994, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_b)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[1]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 994, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("calcCubicPoints", 1, 4, 4, 1); __PYX_ERR(0, 994, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_c)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[2]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 994, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("calcCubicPoints", 1, 4, 4, 2); __PYX_ERR(0, 994, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  3:
        if (likely((values[3] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_d)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[3]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 994, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("calcCubicPoints", 1, 4, 4, 3); __PYX_ERR(0, 994, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "calcCubicPoints") < 0)) __PYX_ERR(0, 994, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs != 4)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
      values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
      values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
      values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
    }
    __pyx_v_a = values[0];
    __pyx_v_b = values[1];
    __pyx_v_c = values[2];
    __pyx_v_d = values[3];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("calcCubicPoints", 1, 4, 4, __pyx_nargs); __PYX_ERR(0, 994, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.calcCubicPoints", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_56calcCubicPoints(__pyx_self, __pyx_v_a, __pyx_v_b, __pyx_v_c, __pyx_v_d);

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_56calcCubicPoints(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_a, PyObject *__pyx_v_b, PyObject *__pyx_v_c, PyObject *__pyx_v_d) {
  PyObject *__pyx_v_ax = NULL;
  PyObject *__pyx_v_ay = NULL;
  PyObject *__pyx_v_bx = NULL;
  PyObject *__pyx_v_by = NULL;
  PyObject *__pyx_v_cx = NULL;
  PyObject *__pyx_v_cy = NULL;
  PyObject *__pyx_v_dx = NULL;
  PyObject *__pyx_v_dy = NULL;
  PyObject *__pyx_v_x1 = NULL;
  PyObject *__pyx_v_y1 = NULL;
  PyObject *__pyx_v_x2 = NULL;
  PyObject *__pyx_v_y2 = NULL;
  PyObject *__pyx_v_x3 = NULL;
  PyObject *__pyx_v_y3 = NULL;
  PyObject *__pyx_v_x4 = NULL;
  PyObject *__pyx_v_y4 = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *(*__pyx_t_4)(PyObject *);
  PyObject *__pyx_t_5 = NULL;
  PyObject *__pyx_t_6 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("calcCubicPoints", 1);

  /* "fontTools/misc/bezierTools.py":995
 * 
 * def calcCubicPoints(a, b, c, d):
 *     ax, ay = a             # <<<<<<<<<<<<<<
 *     bx, by = b
 *     cx, cy = c
 */
  if ((likely(PyTuple_CheckExact(__pyx_v_a))) || (PyList_CheckExact(__pyx_v_a))) {
    PyObject* sequence = __pyx_v_a;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 995, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 1); 
    } else {
      __pyx_t_1 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_2 = PyList_GET_ITEM(sequence, 1); 
    }
    __Pyx_INCREF(__pyx_t_1);
    __Pyx_INCREF(__pyx_t_2);
    #else
    __pyx_t_1 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 995, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 995, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_3 = PyObject_GetIter(__pyx_v_a); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 995, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_3);
    index = 0; __pyx_t_1 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_1)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    index = 1; __pyx_t_2 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_2)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_4(__pyx_t_3), 2) < 0) __PYX_ERR(0, 995, __pyx_L1_error)
    __pyx_t_4 = NULL;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    goto __pyx_L4_unpacking_done;
    __pyx_L3_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 995, __pyx_L1_error)
    __pyx_L4_unpacking_done:;
  }
  __pyx_v_ax = __pyx_t_1;
  __pyx_t_1 = 0;
  __pyx_v_ay = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":996
 * def calcCubicPoints(a, b, c, d):
 *     ax, ay = a
 *     bx, by = b             # <<<<<<<<<<<<<<
 *     cx, cy = c
 *     dx, dy = d
 */
  if ((likely(PyTuple_CheckExact(__pyx_v_b))) || (PyList_CheckExact(__pyx_v_b))) {
    PyObject* sequence = __pyx_v_b;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 996, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 1); 
    } else {
      __pyx_t_2 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_1 = PyList_GET_ITEM(sequence, 1); 
    }
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx_t_1);
    #else
    __pyx_t_2 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 996, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 996, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_3 = PyObject_GetIter(__pyx_v_b); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 996, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_3);
    index = 0; __pyx_t_2 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_2)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    index = 1; __pyx_t_1 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_1)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_4(__pyx_t_3), 2) < 0) __PYX_ERR(0, 996, __pyx_L1_error)
    __pyx_t_4 = NULL;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    goto __pyx_L6_unpacking_done;
    __pyx_L5_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 996, __pyx_L1_error)
    __pyx_L6_unpacking_done:;
  }
  __pyx_v_bx = __pyx_t_2;
  __pyx_t_2 = 0;
  __pyx_v_by = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":997
 *     ax, ay = a
 *     bx, by = b
 *     cx, cy = c             # <<<<<<<<<<<<<<
 *     dx, dy = d
 *     x1 = dx
 */
  if ((likely(PyTuple_CheckExact(__pyx_v_c))) || (PyList_CheckExact(__pyx_v_c))) {
    PyObject* sequence = __pyx_v_c;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 997, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 1); 
    } else {
      __pyx_t_1 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_2 = PyList_GET_ITEM(sequence, 1); 
    }
    __Pyx_INCREF(__pyx_t_1);
    __Pyx_INCREF(__pyx_t_2);
    #else
    __pyx_t_1 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 997, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 997, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_3 = PyObject_GetIter(__pyx_v_c); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 997, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_3);
    index = 0; __pyx_t_1 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_1)) goto __pyx_L7_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    index = 1; __pyx_t_2 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_2)) goto __pyx_L7_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_4(__pyx_t_3), 2) < 0) __PYX_ERR(0, 997, __pyx_L1_error)
    __pyx_t_4 = NULL;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    goto __pyx_L8_unpacking_done;
    __pyx_L7_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 997, __pyx_L1_error)
    __pyx_L8_unpacking_done:;
  }
  __pyx_v_cx = __pyx_t_1;
  __pyx_t_1 = 0;
  __pyx_v_cy = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":998
 *     bx, by = b
 *     cx, cy = c
 *     dx, dy = d             # <<<<<<<<<<<<<<
 *     x1 = dx
 *     y1 = dy
 */
  if ((likely(PyTuple_CheckExact(__pyx_v_d))) || (PyList_CheckExact(__pyx_v_d))) {
    PyObject* sequence = __pyx_v_d;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 998, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 1); 
    } else {
      __pyx_t_2 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_1 = PyList_GET_ITEM(sequence, 1); 
    }
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx_t_1);
    #else
    __pyx_t_2 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 998, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 998, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_3 = PyObject_GetIter(__pyx_v_d); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 998, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_3);
    index = 0; __pyx_t_2 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_2)) goto __pyx_L9_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    index = 1; __pyx_t_1 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_1)) goto __pyx_L9_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_4(__pyx_t_3), 2) < 0) __PYX_ERR(0, 998, __pyx_L1_error)
    __pyx_t_4 = NULL;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    goto __pyx_L10_unpacking_done;
    __pyx_L9_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 998, __pyx_L1_error)
    __pyx_L10_unpacking_done:;
  }
  __pyx_v_dx = __pyx_t_2;
  __pyx_t_2 = 0;
  __pyx_v_dy = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":999
 *     cx, cy = c
 *     dx, dy = d
 *     x1 = dx             # <<<<<<<<<<<<<<
 *     y1 = dy
 *     x2 = (cx / 3.0) + dx
 */
  __Pyx_INCREF(__pyx_v_dx);
  __pyx_v_x1 = __pyx_v_dx;

  /* "fontTools/misc/bezierTools.py":1000
 *     dx, dy = d
 *     x1 = dx
 *     y1 = dy             # <<<<<<<<<<<<<<
 *     x2 = (cx / 3.0) + dx
 *     y2 = (cy / 3.0) + dy
 */
  __Pyx_INCREF(__pyx_v_dy);
  __pyx_v_y1 = __pyx_v_dy;

  /* "fontTools/misc/bezierTools.py":1001
 *     x1 = dx
 *     y1 = dy
 *     x2 = (cx / 3.0) + dx             # <<<<<<<<<<<<<<
 *     y2 = (cy / 3.0) + dy
 *     x3 = (bx + cx) / 3.0 + x2
 */
  __pyx_t_1 = __Pyx_PyFloat_TrueDivideObjC(__pyx_v_cx, __pyx_float_3_0, 3.0, 0, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1001, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = PyNumber_Add(__pyx_t_1, __pyx_v_dx); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1001, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_v_x2 = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1002
 *     y1 = dy
 *     x2 = (cx / 3.0) + dx
 *     y2 = (cy / 3.0) + dy             # <<<<<<<<<<<<<<
 *     x3 = (bx + cx) / 3.0 + x2
 *     y3 = (by + cy) / 3.0 + y2
 */
  __pyx_t_2 = __Pyx_PyFloat_TrueDivideObjC(__pyx_v_cy, __pyx_float_3_0, 3.0, 0, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1002, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_1 = PyNumber_Add(__pyx_t_2, __pyx_v_dy); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1002, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_v_y2 = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1003
 *     x2 = (cx / 3.0) + dx
 *     y2 = (cy / 3.0) + dy
 *     x3 = (bx + cx) / 3.0 + x2             # <<<<<<<<<<<<<<
 *     y3 = (by + cy) / 3.0 + y2
 *     x4 = ax + dx + cx + bx
 */
  __pyx_t_1 = PyNumber_Add(__pyx_v_bx, __pyx_v_cx); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1003, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __Pyx_PyFloat_TrueDivideObjC(__pyx_t_1, __pyx_float_3_0, 3.0, 0, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1003, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyNumber_Add(__pyx_t_2, __pyx_v_x2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1003, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_v_x3 = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1004
 *     y2 = (cy / 3.0) + dy
 *     x3 = (bx + cx) / 3.0 + x2
 *     y3 = (by + cy) / 3.0 + y2             # <<<<<<<<<<<<<<
 *     x4 = ax + dx + cx + bx
 *     y4 = ay + dy + cy + by
 */
  __pyx_t_1 = PyNumber_Add(__pyx_v_by, __pyx_v_cy); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1004, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __Pyx_PyFloat_TrueDivideObjC(__pyx_t_1, __pyx_float_3_0, 3.0, 0, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1004, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyNumber_Add(__pyx_t_2, __pyx_v_y2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1004, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_v_y3 = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1005
 *     x3 = (bx + cx) / 3.0 + x2
 *     y3 = (by + cy) / 3.0 + y2
 *     x4 = ax + dx + cx + bx             # <<<<<<<<<<<<<<
 *     y4 = ay + dy + cy + by
 *     return (x1, y1), (x2, y2), (x3, y3), (x4, y4)
 */
  __pyx_t_1 = PyNumber_Add(__pyx_v_ax, __pyx_v_dx); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1005, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = PyNumber_Add(__pyx_t_1, __pyx_v_cx); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1005, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyNumber_Add(__pyx_t_2, __pyx_v_bx); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1005, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_v_x4 = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1006
 *     y3 = (by + cy) / 3.0 + y2
 *     x4 = ax + dx + cx + bx
 *     y4 = ay + dy + cy + by             # <<<<<<<<<<<<<<
 *     return (x1, y1), (x2, y2), (x3, y3), (x4, y4)
 * 
 */
  __pyx_t_1 = PyNumber_Add(__pyx_v_ay, __pyx_v_dy); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1006, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = PyNumber_Add(__pyx_t_1, __pyx_v_cy); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1006, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyNumber_Add(__pyx_t_2, __pyx_v_by); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1006, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_v_y4 = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1007
 *     x4 = ax + dx + cx + bx
 *     y4 = ay + dy + cy + by
 *     return (x1, y1), (x2, y2), (x3, y3), (x4, y4)             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = PyTuple_New(2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1007, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_INCREF(__pyx_v_x1);
  __Pyx_GIVEREF(__pyx_v_x1);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_v_x1)) __PYX_ERR(0, 1007, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_y1);
  __Pyx_GIVEREF(__pyx_v_y1);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_v_y1)) __PYX_ERR(0, 1007, __pyx_L1_error);
  __pyx_t_2 = PyTuple_New(2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1007, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_INCREF(__pyx_v_x2);
  __Pyx_GIVEREF(__pyx_v_x2);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_v_x2)) __PYX_ERR(0, 1007, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_y2);
  __Pyx_GIVEREF(__pyx_v_y2);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 1, __pyx_v_y2)) __PYX_ERR(0, 1007, __pyx_L1_error);
  __pyx_t_3 = PyTuple_New(2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1007, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_INCREF(__pyx_v_x3);
  __Pyx_GIVEREF(__pyx_v_x3);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_v_x3)) __PYX_ERR(0, 1007, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_y3);
  __Pyx_GIVEREF(__pyx_v_y3);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_v_y3)) __PYX_ERR(0, 1007, __pyx_L1_error);
  __pyx_t_5 = PyTuple_New(2); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1007, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_INCREF(__pyx_v_x4);
  __Pyx_GIVEREF(__pyx_v_x4);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_v_x4)) __PYX_ERR(0, 1007, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_y4);
  __Pyx_GIVEREF(__pyx_v_y4);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 1, __pyx_v_y4)) __PYX_ERR(0, 1007, __pyx_L1_error);
  __pyx_t_6 = PyTuple_New(4); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1007, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __Pyx_GIVEREF(__pyx_t_1);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 0, __pyx_t_1)) __PYX_ERR(0, 1007, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_2);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 1, __pyx_t_2)) __PYX_ERR(0, 1007, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_3);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 2, __pyx_t_3)) __PYX_ERR(0, 1007, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_5);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_6, 3, __pyx_t_5)) __PYX_ERR(0, 1007, __pyx_L1_error);
  __pyx_t_1 = 0;
  __pyx_t_2 = 0;
  __pyx_t_3 = 0;
  __pyx_t_5 = 0;
  __pyx_r = __pyx_t_6;
  __pyx_t_6 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":994
 * 
 * 
 * def calcCubicPoints(a, b, c, d):             # <<<<<<<<<<<<<<
 *     ax, ay = a
 *     bx, by = b
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.calcCubicPoints", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_ax);
  __Pyx_XDECREF(__pyx_v_ay);
  __Pyx_XDECREF(__pyx_v_bx);
  __Pyx_XDECREF(__pyx_v_by);
  __Pyx_XDECREF(__pyx_v_cx);
  __Pyx_XDECREF(__pyx_v_cy);
  __Pyx_XDECREF(__pyx_v_dx);
  __Pyx_XDECREF(__pyx_v_dy);
  __Pyx_XDECREF(__pyx_v_x1);
  __Pyx_XDECREF(__pyx_v_y1);
  __Pyx_XDECREF(__pyx_v_x2);
  __Pyx_XDECREF(__pyx_v_y2);
  __Pyx_XDECREF(__pyx_v_x3);
  __Pyx_XDECREF(__pyx_v_y3);
  __Pyx_XDECREF(__pyx_v_x4);
  __Pyx_XDECREF(__pyx_v_y4);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1010
 * 
 * 
 * @cython.cfunc             # <<<<<<<<<<<<<<
 * @cython.inline
 * @cython.locals(
 */

static CYTHON_INLINE PyObject *__pyx_f_9fontTools_4misc_11bezierTools_calcCubicPointsC(__pyx_t_double_complex __pyx_v_a, __pyx_t_double_complex __pyx_v_b, __pyx_t_double_complex __pyx_v_c, __pyx_t_double_complex __pyx_v_d) {
  __pyx_t_double_complex __pyx_v_p2;
  __pyx_t_double_complex __pyx_v_p3;
  __pyx_t_double_complex __pyx_v_p4;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("calcCubicPointsC", 1);

  /* "fontTools/misc/bezierTools.py":1022
 * )
 * def calcCubicPointsC(a, b, c, d):
 *     p2 = c * (1 / 3) + d             # <<<<<<<<<<<<<<
 *     p3 = (b + c) * (1 / 3) + p2
 *     p4 = a + b + c + d
 */
  __pyx_v_p2 = __Pyx_c_sum_double(__Pyx_c_prod_double(__pyx_v_c, __pyx_t_double_complex_from_parts((1.0 / 3.0), 0)), __pyx_v_d);

  /* "fontTools/misc/bezierTools.py":1023
 * def calcCubicPointsC(a, b, c, d):
 *     p2 = c * (1 / 3) + d
 *     p3 = (b + c) * (1 / 3) + p2             # <<<<<<<<<<<<<<
 *     p4 = a + b + c + d
 *     return (d, p2, p3, p4)
 */
  __pyx_v_p3 = __Pyx_c_sum_double(__Pyx_c_prod_double(__Pyx_c_sum_double(__pyx_v_b, __pyx_v_c), __pyx_t_double_complex_from_parts((1.0 / 3.0), 0)), __pyx_v_p2);

  /* "fontTools/misc/bezierTools.py":1024
 *     p2 = c * (1 / 3) + d
 *     p3 = (b + c) * (1 / 3) + p2
 *     p4 = a + b + c + d             # <<<<<<<<<<<<<<
 *     return (d, p2, p3, p4)
 * 
 */
  __pyx_v_p4 = __Pyx_c_sum_double(__Pyx_c_sum_double(__Pyx_c_sum_double(__pyx_v_a, __pyx_v_b), __pyx_v_c), __pyx_v_d);

  /* "fontTools/misc/bezierTools.py":1025
 *     p3 = (b + c) * (1 / 3) + p2
 *     p4 = a + b + c + d
 *     return (d, p2, p3, p4)             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = __pyx_PyComplex_FromComplex(__pyx_v_d); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1025, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __pyx_PyComplex_FromComplex(__pyx_v_p2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1025, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = __pyx_PyComplex_FromComplex(__pyx_v_p3); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1025, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_4 = __pyx_PyComplex_FromComplex(__pyx_v_p4); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1025, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_5 = PyTuple_New(4); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1025, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_GIVEREF(__pyx_t_1);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_t_1)) __PYX_ERR(0, 1025, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_2);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 1, __pyx_t_2)) __PYX_ERR(0, 1025, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_3);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 2, __pyx_t_3)) __PYX_ERR(0, 1025, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_4);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 3, __pyx_t_4)) __PYX_ERR(0, 1025, __pyx_L1_error);
  __pyx_t_1 = 0;
  __pyx_t_2 = 0;
  __pyx_t_3 = 0;
  __pyx_t_4 = 0;
  __pyx_r = __pyx_t_5;
  __pyx_t_5 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":1010
 * 
 * 
 * @cython.cfunc             # <<<<<<<<<<<<<<
 * @cython.inline
 * @cython.locals(
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.calcCubicPointsC", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = 0;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1033
 * 
 * 
 * def linePointAtT(pt1, pt2, t):             # <<<<<<<<<<<<<<
 *     """Finds the point at time `t` on a line.
 * 
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_59linePointAtT(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_58linePointAtT, "linePointAtT(pt1, pt2, t)\nFinds the point at time `t` on a line.\n\n    Args:\n        pt1, pt2: Coordinates of the line as 2D tuples.\n        t: The time along the line.\n\n    Returns:\n        A 2D tuple with the coordinates of the point.\n    ");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_59linePointAtT = {"linePointAtT", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_59linePointAtT, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_58linePointAtT};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_59linePointAtT(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_pt1 = 0;
  PyObject *__pyx_v_pt2 = 0;
  PyObject *__pyx_v_t = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[3] = {0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("linePointAtT (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_pt1,&__pyx_n_s_pt2,&__pyx_n_s_t,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  3: values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt1)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1033, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt2)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[1]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1033, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("linePointAtT", 1, 3, 3, 1); __PYX_ERR(0, 1033, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_t)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[2]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1033, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("linePointAtT", 1, 3, 3, 2); __PYX_ERR(0, 1033, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "linePointAtT") < 0)) __PYX_ERR(0, 1033, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs != 3)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
      values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
      values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
    }
    __pyx_v_pt1 = values[0];
    __pyx_v_pt2 = values[1];
    __pyx_v_t = values[2];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("linePointAtT", 1, 3, 3, __pyx_nargs); __PYX_ERR(0, 1033, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.linePointAtT", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_58linePointAtT(__pyx_self, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_t);

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_58linePointAtT(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_t) {
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("linePointAtT", 1);

  /* "fontTools/misc/bezierTools.py":1043
 *         A 2D tuple with the coordinates of the point.
 *     """
 *     return ((pt1[0] * (1 - t) + pt2[0] * t), (pt1[1] * (1 - t) + pt2[1] * t))             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = __Pyx_GetItemInt(__pyx_v_pt1, 0, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1043, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __Pyx_PyInt_SubtractCObj(__pyx_int_1, __pyx_v_t, 1, 0, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1043, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = PyNumber_Multiply(__pyx_t_1, __pyx_t_2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1043, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = __Pyx_GetItemInt(__pyx_v_pt2, 0, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1043, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_1 = PyNumber_Multiply(__pyx_t_2, __pyx_v_t); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1043, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = PyNumber_Add(__pyx_t_3, __pyx_t_1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1043, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = __Pyx_GetItemInt(__pyx_v_pt1, 1, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1043, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_3 = __Pyx_PyInt_SubtractCObj(__pyx_int_1, __pyx_v_t, 1, 0, 0); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1043, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_4 = PyNumber_Multiply(__pyx_t_1, __pyx_t_3); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1043, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = __Pyx_GetItemInt(__pyx_v_pt2, 1, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1043, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_1 = PyNumber_Multiply(__pyx_t_3, __pyx_v_t); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1043, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = PyNumber_Add(__pyx_t_4, __pyx_t_1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1043, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyTuple_New(2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1043, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_GIVEREF(__pyx_t_2);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_t_2)) __PYX_ERR(0, 1043, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_3);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_t_3)) __PYX_ERR(0, 1043, __pyx_L1_error);
  __pyx_t_2 = 0;
  __pyx_t_3 = 0;
  __pyx_r = __pyx_t_1;
  __pyx_t_1 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":1033
 * 
 * 
 * def linePointAtT(pt1, pt2, t):             # <<<<<<<<<<<<<<
 *     """Finds the point at time `t` on a line.
 * 
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.linePointAtT", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1046
 * 
 * 
 * def quadraticPointAtT(pt1, pt2, pt3, t):             # <<<<<<<<<<<<<<
 *     """Finds the point at time `t` on a quadratic curve.
 * 
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_61quadraticPointAtT(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_60quadraticPointAtT, "quadraticPointAtT(pt1, pt2, pt3, t)\nFinds the point at time `t` on a quadratic curve.\n\n    Args:\n        pt1, pt2, pt3: Coordinates of the curve as 2D tuples.\n        t: The time along the curve.\n\n    Returns:\n        A 2D tuple with the coordinates of the point.\n    ");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_61quadraticPointAtT = {"quadraticPointAtT", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_61quadraticPointAtT, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_60quadraticPointAtT};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_61quadraticPointAtT(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_pt1 = 0;
  PyObject *__pyx_v_pt2 = 0;
  PyObject *__pyx_v_pt3 = 0;
  PyObject *__pyx_v_t = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[4] = {0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("quadraticPointAtT (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_pt1,&__pyx_n_s_pt2,&__pyx_n_s_pt3,&__pyx_n_s_t,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  4: values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt1)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1046, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt2)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[1]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1046, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("quadraticPointAtT", 1, 4, 4, 1); __PYX_ERR(0, 1046, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt3)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[2]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1046, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("quadraticPointAtT", 1, 4, 4, 2); __PYX_ERR(0, 1046, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  3:
        if (likely((values[3] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_t)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[3]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1046, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("quadraticPointAtT", 1, 4, 4, 3); __PYX_ERR(0, 1046, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "quadraticPointAtT") < 0)) __PYX_ERR(0, 1046, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs != 4)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
      values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
      values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
      values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
    }
    __pyx_v_pt1 = values[0];
    __pyx_v_pt2 = values[1];
    __pyx_v_pt3 = values[2];
    __pyx_v_t = values[3];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("quadraticPointAtT", 1, 4, 4, __pyx_nargs); __PYX_ERR(0, 1046, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.quadraticPointAtT", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_60quadraticPointAtT(__pyx_self, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3, __pyx_v_t);

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_60quadraticPointAtT(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_t) {
  PyObject *__pyx_v_x = NULL;
  PyObject *__pyx_v_y = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("quadraticPointAtT", 1);

  /* "fontTools/misc/bezierTools.py":1056
 *         A 2D tuple with the coordinates of the point.
 *     """
 *     x = (1 - t) * (1 - t) * pt1[0] + 2 * (1 - t) * t * pt2[0] + t * t * pt3[0]             # <<<<<<<<<<<<<<
 *     y = (1 - t) * (1 - t) * pt1[1] + 2 * (1 - t) * t * pt2[1] + t * t * pt3[1]
 *     return (x, y)
 */
  __pyx_t_1 = __Pyx_PyInt_SubtractCObj(__pyx_int_1, __pyx_v_t, 1, 0, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1056, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __Pyx_PyInt_SubtractCObj(__pyx_int_1, __pyx_v_t, 1, 0, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1056, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = PyNumber_Multiply(__pyx_t_1, __pyx_t_2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1056, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = __Pyx_GetItemInt(__pyx_v_pt1, 0, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1056, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_1 = PyNumber_Multiply(__pyx_t_3, __pyx_t_2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1056, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = __Pyx_PyInt_SubtractCObj(__pyx_int_1, __pyx_v_t, 1, 0, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1056, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = __Pyx_PyInt_MultiplyCObj(__pyx_int_2, __pyx_t_2, 2, 0, 0); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1056, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = PyNumber_Multiply(__pyx_t_3, __pyx_v_t); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1056, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = __Pyx_GetItemInt(__pyx_v_pt2, 0, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1056, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_4 = PyNumber_Multiply(__pyx_t_2, __pyx_t_3); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1056, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = PyNumber_Add(__pyx_t_1, __pyx_t_4); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1056, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_t_4 = PyNumber_Multiply(__pyx_v_t, __pyx_v_t); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1056, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_1 = __Pyx_GetItemInt(__pyx_v_pt3, 0, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1056, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = PyNumber_Multiply(__pyx_t_4, __pyx_t_1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1056, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyNumber_Add(__pyx_t_3, __pyx_t_2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1056, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_v_x = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1057
 *     """
 *     x = (1 - t) * (1 - t) * pt1[0] + 2 * (1 - t) * t * pt2[0] + t * t * pt3[0]
 *     y = (1 - t) * (1 - t) * pt1[1] + 2 * (1 - t) * t * pt2[1] + t * t * pt3[1]             # <<<<<<<<<<<<<<
 *     return (x, y)
 * 
 */
  __pyx_t_1 = __Pyx_PyInt_SubtractCObj(__pyx_int_1, __pyx_v_t, 1, 0, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1057, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __Pyx_PyInt_SubtractCObj(__pyx_int_1, __pyx_v_t, 1, 0, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1057, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = PyNumber_Multiply(__pyx_t_1, __pyx_t_2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1057, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = __Pyx_GetItemInt(__pyx_v_pt1, 1, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1057, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_1 = PyNumber_Multiply(__pyx_t_3, __pyx_t_2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1057, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = __Pyx_PyInt_SubtractCObj(__pyx_int_1, __pyx_v_t, 1, 0, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1057, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = __Pyx_PyInt_MultiplyCObj(__pyx_int_2, __pyx_t_2, 2, 0, 0); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1057, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = PyNumber_Multiply(__pyx_t_3, __pyx_v_t); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1057, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = __Pyx_GetItemInt(__pyx_v_pt2, 1, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1057, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_4 = PyNumber_Multiply(__pyx_t_2, __pyx_t_3); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1057, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = PyNumber_Add(__pyx_t_1, __pyx_t_4); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1057, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_t_4 = PyNumber_Multiply(__pyx_v_t, __pyx_v_t); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1057, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_1 = __Pyx_GetItemInt(__pyx_v_pt3, 1, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1057, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = PyNumber_Multiply(__pyx_t_4, __pyx_t_1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1057, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyNumber_Add(__pyx_t_3, __pyx_t_2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1057, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_v_y = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1058
 *     x = (1 - t) * (1 - t) * pt1[0] + 2 * (1 - t) * t * pt2[0] + t * t * pt3[0]
 *     y = (1 - t) * (1 - t) * pt1[1] + 2 * (1 - t) * t * pt2[1] + t * t * pt3[1]
 *     return (x, y)             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = PyTuple_New(2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1058, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_INCREF(__pyx_v_x);
  __Pyx_GIVEREF(__pyx_v_x);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_v_x)) __PYX_ERR(0, 1058, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_y);
  __Pyx_GIVEREF(__pyx_v_y);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_v_y)) __PYX_ERR(0, 1058, __pyx_L1_error);
  __pyx_r = __pyx_t_1;
  __pyx_t_1 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":1046
 * 
 * 
 * def quadraticPointAtT(pt1, pt2, pt3, t):             # <<<<<<<<<<<<<<
 *     """Finds the point at time `t` on a quadratic curve.
 * 
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.quadraticPointAtT", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_x);
  __Pyx_XDECREF(__pyx_v_y);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1061
 * 
 * 
 * def cubicPointAtT(pt1, pt2, pt3, pt4, t):             # <<<<<<<<<<<<<<
 *     """Finds the point at time `t` on a cubic curve.
 * 
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_63cubicPointAtT(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_62cubicPointAtT, "cubicPointAtT(pt1, pt2, pt3, pt4, t)\nFinds the point at time `t` on a cubic curve.\n\n    Args:\n        pt1, pt2, pt3, pt4: Coordinates of the curve as 2D tuples.\n        t: The time along the curve.\n\n    Returns:\n        A 2D tuple with the coordinates of the point.\n    ");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_63cubicPointAtT = {"cubicPointAtT", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_63cubicPointAtT, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_62cubicPointAtT};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_63cubicPointAtT(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_pt1 = 0;
  PyObject *__pyx_v_pt2 = 0;
  PyObject *__pyx_v_pt3 = 0;
  PyObject *__pyx_v_pt4 = 0;
  PyObject *__pyx_v_t = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[5] = {0,0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("cubicPointAtT (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_pt1,&__pyx_n_s_pt2,&__pyx_n_s_pt3,&__pyx_n_s_pt4,&__pyx_n_s_t,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  5: values[4] = __Pyx_Arg_FASTCALL(__pyx_args, 4);
        CYTHON_FALLTHROUGH;
        case  4: values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt1)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1061, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt2)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[1]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1061, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("cubicPointAtT", 1, 5, 5, 1); __PYX_ERR(0, 1061, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt3)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[2]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1061, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("cubicPointAtT", 1, 5, 5, 2); __PYX_ERR(0, 1061, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  3:
        if (likely((values[3] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt4)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[3]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1061, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("cubicPointAtT", 1, 5, 5, 3); __PYX_ERR(0, 1061, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  4:
        if (likely((values[4] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_t)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[4]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1061, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("cubicPointAtT", 1, 5, 5, 4); __PYX_ERR(0, 1061, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "cubicPointAtT") < 0)) __PYX_ERR(0, 1061, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs != 5)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
      values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
      values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
      values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
      values[4] = __Pyx_Arg_FASTCALL(__pyx_args, 4);
    }
    __pyx_v_pt1 = values[0];
    __pyx_v_pt2 = values[1];
    __pyx_v_pt3 = values[2];
    __pyx_v_pt4 = values[3];
    __pyx_v_t = values[4];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("cubicPointAtT", 1, 5, 5, __pyx_nargs); __PYX_ERR(0, 1061, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.cubicPointAtT", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_62cubicPointAtT(__pyx_self, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3, __pyx_v_pt4, __pyx_v_t);

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_62cubicPointAtT(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pt1, PyObject *__pyx_v_pt2, PyObject *__pyx_v_pt3, PyObject *__pyx_v_pt4, PyObject *__pyx_v_t) {
  PyObject *__pyx_v_t2 = NULL;
  PyObject *__pyx_v__1_t = NULL;
  PyObject *__pyx_v__1_t_2 = NULL;
  PyObject *__pyx_v_x = NULL;
  PyObject *__pyx_v_y = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("cubicPointAtT", 1);

  /* "fontTools/misc/bezierTools.py":1071
 *         A 2D tuple with the coordinates of the point.
 *     """
 *     t2 = t * t             # <<<<<<<<<<<<<<
 *     _1_t = 1 - t
 *     _1_t_2 = _1_t * _1_t
 */
  __pyx_t_1 = PyNumber_Multiply(__pyx_v_t, __pyx_v_t); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1071, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_v_t2 = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1072
 *     """
 *     t2 = t * t
 *     _1_t = 1 - t             # <<<<<<<<<<<<<<
 *     _1_t_2 = _1_t * _1_t
 *     x = (
 */
  __pyx_t_1 = __Pyx_PyInt_SubtractCObj(__pyx_int_1, __pyx_v_t, 1, 0, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1072, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_v__1_t = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1073
 *     t2 = t * t
 *     _1_t = 1 - t
 *     _1_t_2 = _1_t * _1_t             # <<<<<<<<<<<<<<
 *     x = (
 *         _1_t_2 * _1_t * pt1[0]
 */
  __pyx_t_1 = PyNumber_Multiply(__pyx_v__1_t, __pyx_v__1_t); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1073, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_v__1_t_2 = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1075
 *     _1_t_2 = _1_t * _1_t
 *     x = (
 *         _1_t_2 * _1_t * pt1[0]             # <<<<<<<<<<<<<<
 *         + 3 * (_1_t_2 * t * pt2[0] + _1_t * t2 * pt3[0])
 *         + t2 * t * pt4[0]
 */
  __pyx_t_1 = PyNumber_Multiply(__pyx_v__1_t_2, __pyx_v__1_t); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1075, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __Pyx_GetItemInt(__pyx_v_pt1, 0, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1075, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = PyNumber_Multiply(__pyx_t_1, __pyx_t_2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1075, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1076
 *     x = (
 *         _1_t_2 * _1_t * pt1[0]
 *         + 3 * (_1_t_2 * t * pt2[0] + _1_t * t2 * pt3[0])             # <<<<<<<<<<<<<<
 *         + t2 * t * pt4[0]
 *     )
 */
  __pyx_t_2 = PyNumber_Multiply(__pyx_v__1_t_2, __pyx_v_t); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1076, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_1 = __Pyx_GetItemInt(__pyx_v_pt2, 0, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1076, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_4 = PyNumber_Multiply(__pyx_t_2, __pyx_t_1); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1076, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyNumber_Multiply(__pyx_v__1_t, __pyx_v_t2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1076, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __Pyx_GetItemInt(__pyx_v_pt3, 0, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1076, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_5 = PyNumber_Multiply(__pyx_t_1, __pyx_t_2); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1076, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = PyNumber_Add(__pyx_t_4, __pyx_t_5); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1076, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  __pyx_t_5 = __Pyx_PyInt_MultiplyCObj(__pyx_int_3, __pyx_t_2, 3, 0, 0); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1076, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = PyNumber_Add(__pyx_t_3, __pyx_t_5); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1076, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;

  /* "fontTools/misc/bezierTools.py":1077
 *         _1_t_2 * _1_t * pt1[0]
 *         + 3 * (_1_t_2 * t * pt2[0] + _1_t * t2 * pt3[0])
 *         + t2 * t * pt4[0]             # <<<<<<<<<<<<<<
 *     )
 *     y = (
 */
  __pyx_t_5 = PyNumber_Multiply(__pyx_v_t2, __pyx_v_t); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1077, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __pyx_t_3 = __Pyx_GetItemInt(__pyx_v_pt4, 0, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1077, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_4 = PyNumber_Multiply(__pyx_t_5, __pyx_t_3); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1077, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = PyNumber_Add(__pyx_t_2, __pyx_t_4); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1077, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_v_x = __pyx_t_3;
  __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1080
 *     )
 *     y = (
 *         _1_t_2 * _1_t * pt1[1]             # <<<<<<<<<<<<<<
 *         + 3 * (_1_t_2 * t * pt2[1] + _1_t * t2 * pt3[1])
 *         + t2 * t * pt4[1]
 */
  __pyx_t_3 = PyNumber_Multiply(__pyx_v__1_t_2, __pyx_v__1_t); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1080, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_4 = __Pyx_GetItemInt(__pyx_v_pt1, 1, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1080, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_2 = PyNumber_Multiply(__pyx_t_3, __pyx_t_4); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1080, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;

  /* "fontTools/misc/bezierTools.py":1081
 *     y = (
 *         _1_t_2 * _1_t * pt1[1]
 *         + 3 * (_1_t_2 * t * pt2[1] + _1_t * t2 * pt3[1])             # <<<<<<<<<<<<<<
 *         + t2 * t * pt4[1]
 *     )
 */
  __pyx_t_4 = PyNumber_Multiply(__pyx_v__1_t_2, __pyx_v_t); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1081, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_3 = __Pyx_GetItemInt(__pyx_v_pt2, 1, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1081, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_5 = PyNumber_Multiply(__pyx_t_4, __pyx_t_3); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1081, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = PyNumber_Multiply(__pyx_v__1_t, __pyx_v_t2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1081, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_4 = __Pyx_GetItemInt(__pyx_v_pt3, 1, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1081, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_1 = PyNumber_Multiply(__pyx_t_3, __pyx_t_4); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1081, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_t_4 = PyNumber_Add(__pyx_t_5, __pyx_t_1); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1081, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = __Pyx_PyInt_MultiplyCObj(__pyx_int_3, __pyx_t_4, 3, 0, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1081, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_t_4 = PyNumber_Add(__pyx_t_2, __pyx_t_1); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1081, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1082
 *         _1_t_2 * _1_t * pt1[1]
 *         + 3 * (_1_t_2 * t * pt2[1] + _1_t * t2 * pt3[1])
 *         + t2 * t * pt4[1]             # <<<<<<<<<<<<<<
 *     )
 *     return (x, y)
 */
  __pyx_t_1 = PyNumber_Multiply(__pyx_v_t2, __pyx_v_t); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1082, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __Pyx_GetItemInt(__pyx_v_pt4, 1, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1082, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_5 = PyNumber_Multiply(__pyx_t_1, __pyx_t_2); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1082, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = PyNumber_Add(__pyx_t_4, __pyx_t_5); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1082, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  __pyx_v_y = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1084
 *         + t2 * t * pt4[1]
 *     )
 *     return (x, y)             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_2 = PyTuple_New(2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1084, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_INCREF(__pyx_v_x);
  __Pyx_GIVEREF(__pyx_v_x);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_v_x)) __PYX_ERR(0, 1084, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_y);
  __Pyx_GIVEREF(__pyx_v_y);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 1, __pyx_v_y)) __PYX_ERR(0, 1084, __pyx_L1_error);
  __pyx_r = __pyx_t_2;
  __pyx_t_2 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":1061
 * 
 * 
 * def cubicPointAtT(pt1, pt2, pt3, pt4, t):             # <<<<<<<<<<<<<<
 *     """Finds the point at time `t` on a cubic curve.
 * 
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.cubicPointAtT", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_t2);
  __Pyx_XDECREF(__pyx_v__1_t);
  __Pyx_XDECREF(__pyx_v__1_t_2);
  __Pyx_XDECREF(__pyx_v_x);
  __Pyx_XDECREF(__pyx_v_y);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1087
 * 
 * 
 * @cython.returns(cython.complex)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     t=cython.double,
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_65cubicPointAtTC(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_64cubicPointAtTC, "cubicPointAtTC(double complex pt1, double complex pt2, double complex pt3, double complex pt4, double t)\nFinds the point at time `t` on a cubic curve.\n\n    Args:\n        pt1, pt2, pt3, pt4: Coordinates of the curve as complex numbers.\n        t: The time along the curve.\n\n    Returns:\n        A complex number with the coordinates of the point.\n    ");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_65cubicPointAtTC = {"cubicPointAtTC", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_65cubicPointAtTC, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_64cubicPointAtTC};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_65cubicPointAtTC(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  __pyx_t_double_complex __pyx_v_pt1;
  __pyx_t_double_complex __pyx_v_pt2;
  __pyx_t_double_complex __pyx_v_pt3;
  __pyx_t_double_complex __pyx_v_pt4;
  double __pyx_v_t;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[5] = {0,0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("cubicPointAtTC (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_pt1,&__pyx_n_s_pt2,&__pyx_n_s_pt3,&__pyx_n_s_pt4,&__pyx_n_s_t,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  5: values[4] = __Pyx_Arg_FASTCALL(__pyx_args, 4);
        CYTHON_FALLTHROUGH;
        case  4: values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt1)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1087, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt2)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[1]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1087, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("cubicPointAtTC", 1, 5, 5, 1); __PYX_ERR(0, 1087, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt3)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[2]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1087, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("cubicPointAtTC", 1, 5, 5, 2); __PYX_ERR(0, 1087, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  3:
        if (likely((values[3] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt4)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[3]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1087, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("cubicPointAtTC", 1, 5, 5, 3); __PYX_ERR(0, 1087, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  4:
        if (likely((values[4] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_t)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[4]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1087, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("cubicPointAtTC", 1, 5, 5, 4); __PYX_ERR(0, 1087, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "cubicPointAtTC") < 0)) __PYX_ERR(0, 1087, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs != 5)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
      values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
      values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
      values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
      values[4] = __Pyx_Arg_FASTCALL(__pyx_args, 4);
    }
    __pyx_v_pt1 = __Pyx_PyComplex_As___pyx_t_double_complex(values[0]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1096, __pyx_L3_error)
    __pyx_v_pt2 = __Pyx_PyComplex_As___pyx_t_double_complex(values[1]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1096, __pyx_L3_error)
    __pyx_v_pt3 = __Pyx_PyComplex_As___pyx_t_double_complex(values[2]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1096, __pyx_L3_error)
    __pyx_v_pt4 = __Pyx_PyComplex_As___pyx_t_double_complex(values[3]); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1096, __pyx_L3_error)
    __pyx_v_t = __pyx_PyFloat_AsDouble(values[4]); if (unlikely((__pyx_v_t == (double)-1) && PyErr_Occurred())) __PYX_ERR(0, 1096, __pyx_L3_error)
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("cubicPointAtTC", 1, 5, 5, __pyx_nargs); __PYX_ERR(0, 1087, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.cubicPointAtTC", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_64cubicPointAtTC(__pyx_self, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3, __pyx_v_pt4, __pyx_v_t);

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_64cubicPointAtTC(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_double_complex __pyx_v_pt1, __pyx_t_double_complex __pyx_v_pt2, __pyx_t_double_complex __pyx_v_pt3, __pyx_t_double_complex __pyx_v_pt4, double __pyx_v_t) {
  double __pyx_v_t2;
  double __pyx_v__1_t;
  double __pyx_v__1_t_2;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  __pyx_t_double_complex __pyx_t_1;
  PyObject *__pyx_t_2 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("cubicPointAtTC", 1);

  /* "fontTools/misc/bezierTools.py":1106
 *         A complex number with the coordinates of the point.
 *     """
 *     t2 = t * t             # <<<<<<<<<<<<<<
 *     _1_t = 1 - t
 *     _1_t_2 = _1_t * _1_t
 */
  __pyx_v_t2 = (__pyx_v_t * __pyx_v_t);

  /* "fontTools/misc/bezierTools.py":1107
 *     """
 *     t2 = t * t
 *     _1_t = 1 - t             # <<<<<<<<<<<<<<
 *     _1_t_2 = _1_t * _1_t
 *     return _1_t_2 * _1_t * pt1 + 3 * (_1_t_2 * t * pt2 + _1_t * t2 * pt3) + t2 * t * pt4
 */
  __pyx_v__1_t = (1.0 - __pyx_v_t);

  /* "fontTools/misc/bezierTools.py":1108
 *     t2 = t * t
 *     _1_t = 1 - t
 *     _1_t_2 = _1_t * _1_t             # <<<<<<<<<<<<<<
 *     return _1_t_2 * _1_t * pt1 + 3 * (_1_t_2 * t * pt2 + _1_t * t2 * pt3) + t2 * t * pt4
 * 
 */
  __pyx_v__1_t_2 = (__pyx_v__1_t * __pyx_v__1_t);

  /* "fontTools/misc/bezierTools.py":1109
 *     _1_t = 1 - t
 *     _1_t_2 = _1_t * _1_t
 *     return _1_t_2 * _1_t * pt1 + 3 * (_1_t_2 * t * pt2 + _1_t * t2 * pt3) + t2 * t * pt4             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = __Pyx_c_sum_double(__Pyx_c_sum_double(__Pyx_c_prod_double(__pyx_t_double_complex_from_parts((__pyx_v__1_t_2 * __pyx_v__1_t), 0), __pyx_v_pt1), __Pyx_c_prod_double(__pyx_t_double_complex_from_parts(3, 0), __Pyx_c_sum_double(__Pyx_c_prod_double(__pyx_t_double_complex_from_parts((__pyx_v__1_t_2 * __pyx_v_t), 0), __pyx_v_pt2), __Pyx_c_prod_double(__pyx_t_double_complex_from_parts((__pyx_v__1_t * __pyx_v_t2), 0), __pyx_v_pt3)))), __Pyx_c_prod_double(__pyx_t_double_complex_from_parts((__pyx_v_t2 * __pyx_v_t), 0), __pyx_v_pt4));
  __pyx_t_2 = __pyx_PyComplex_FromComplex(__pyx_t_1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1109, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_r = __pyx_t_2;
  __pyx_t_2 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":1087
 * 
 * 
 * @cython.returns(cython.complex)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     t=cython.double,
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.cubicPointAtTC", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1112
 * 
 * 
 * def segmentPointAtT(seg, t):             # <<<<<<<<<<<<<<
 *     if len(seg) == 2:
 *         return linePointAtT(*seg, t)
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_67segmentPointAtT(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_66segmentPointAtT, "segmentPointAtT(seg, t)");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_67segmentPointAtT = {"segmentPointAtT", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_67segmentPointAtT, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_66segmentPointAtT};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_67segmentPointAtT(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_seg = 0;
  PyObject *__pyx_v_t = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[2] = {0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("segmentPointAtT (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_seg,&__pyx_n_s_t,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_seg)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1112, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_t)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[1]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1112, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("segmentPointAtT", 1, 2, 2, 1); __PYX_ERR(0, 1112, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "segmentPointAtT") < 0)) __PYX_ERR(0, 1112, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs != 2)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
      values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
    }
    __pyx_v_seg = values[0];
    __pyx_v_t = values[1];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("segmentPointAtT", 1, 2, 2, __pyx_nargs); __PYX_ERR(0, 1112, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.segmentPointAtT", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_66segmentPointAtT(__pyx_self, __pyx_v_seg, __pyx_v_t);

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_66segmentPointAtT(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_seg, PyObject *__pyx_v_t) {
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  Py_ssize_t __pyx_t_1;
  int __pyx_t_2;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  PyObject *__pyx_t_6 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("segmentPointAtT", 1);

  /* "fontTools/misc/bezierTools.py":1113
 * 
 * def segmentPointAtT(seg, t):
 *     if len(seg) == 2:             # <<<<<<<<<<<<<<
 *         return linePointAtT(*seg, t)
 *     elif len(seg) == 3:
 */
  __pyx_t_1 = PyObject_Length(__pyx_v_seg); if (unlikely(__pyx_t_1 == ((Py_ssize_t)-1))) __PYX_ERR(0, 1113, __pyx_L1_error)
  __pyx_t_2 = (__pyx_t_1 == 2);
  if (__pyx_t_2) {

    /* "fontTools/misc/bezierTools.py":1114
 * def segmentPointAtT(seg, t):
 *     if len(seg) == 2:
 *         return linePointAtT(*seg, t)             # <<<<<<<<<<<<<<
 *     elif len(seg) == 3:
 *         return quadraticPointAtT(*seg, t)
 */
    __Pyx_XDECREF(__pyx_r);
    __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_linePointAtT); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1114, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = __Pyx_PySequence_Tuple(__pyx_v_seg); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1114, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_5 = PyTuple_New(1); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1114, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __Pyx_INCREF(__pyx_v_t);
    __Pyx_GIVEREF(__pyx_v_t);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_v_t)) __PYX_ERR(0, 1114, __pyx_L1_error);
    __pyx_t_6 = PyNumber_Add(__pyx_t_4, __pyx_t_5); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1114, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __pyx_t_5 = __Pyx_PyObject_Call(__pyx_t_3, __pyx_t_6, NULL); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1114, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __pyx_r = __pyx_t_5;
    __pyx_t_5 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":1113
 * 
 * def segmentPointAtT(seg, t):
 *     if len(seg) == 2:             # <<<<<<<<<<<<<<
 *         return linePointAtT(*seg, t)
 *     elif len(seg) == 3:
 */
  }

  /* "fontTools/misc/bezierTools.py":1115
 *     if len(seg) == 2:
 *         return linePointAtT(*seg, t)
 *     elif len(seg) == 3:             # <<<<<<<<<<<<<<
 *         return quadraticPointAtT(*seg, t)
 *     elif len(seg) == 4:
 */
  __pyx_t_1 = PyObject_Length(__pyx_v_seg); if (unlikely(__pyx_t_1 == ((Py_ssize_t)-1))) __PYX_ERR(0, 1115, __pyx_L1_error)
  __pyx_t_2 = (__pyx_t_1 == 3);
  if (__pyx_t_2) {

    /* "fontTools/misc/bezierTools.py":1116
 *         return linePointAtT(*seg, t)
 *     elif len(seg) == 3:
 *         return quadraticPointAtT(*seg, t)             # <<<<<<<<<<<<<<
 *     elif len(seg) == 4:
 *         return cubicPointAtT(*seg, t)
 */
    __Pyx_XDECREF(__pyx_r);
    __Pyx_GetModuleGlobalName(__pyx_t_5, __pyx_n_s_quadraticPointAtT); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1116, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __pyx_t_6 = __Pyx_PySequence_Tuple(__pyx_v_seg); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1116, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __pyx_t_3 = PyTuple_New(1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1116, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_INCREF(__pyx_v_t);
    __Pyx_GIVEREF(__pyx_v_t);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_v_t)) __PYX_ERR(0, 1116, __pyx_L1_error);
    __pyx_t_4 = PyNumber_Add(__pyx_t_6, __pyx_t_3); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1116, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_3 = __Pyx_PyObject_Call(__pyx_t_5, __pyx_t_4, NULL); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1116, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __pyx_r = __pyx_t_3;
    __pyx_t_3 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":1115
 *     if len(seg) == 2:
 *         return linePointAtT(*seg, t)
 *     elif len(seg) == 3:             # <<<<<<<<<<<<<<
 *         return quadraticPointAtT(*seg, t)
 *     elif len(seg) == 4:
 */
  }

  /* "fontTools/misc/bezierTools.py":1117
 *     elif len(seg) == 3:
 *         return quadraticPointAtT(*seg, t)
 *     elif len(seg) == 4:             # <<<<<<<<<<<<<<
 *         return cubicPointAtT(*seg, t)
 *     raise ValueError("Unknown curve degree")
 */
  __pyx_t_1 = PyObject_Length(__pyx_v_seg); if (unlikely(__pyx_t_1 == ((Py_ssize_t)-1))) __PYX_ERR(0, 1117, __pyx_L1_error)
  __pyx_t_2 = (__pyx_t_1 == 4);
  if (__pyx_t_2) {

    /* "fontTools/misc/bezierTools.py":1118
 *         return quadraticPointAtT(*seg, t)
 *     elif len(seg) == 4:
 *         return cubicPointAtT(*seg, t)             # <<<<<<<<<<<<<<
 *     raise ValueError("Unknown curve degree")
 * 
 */
    __Pyx_XDECREF(__pyx_r);
    __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_cubicPointAtT); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1118, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = __Pyx_PySequence_Tuple(__pyx_v_seg); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1118, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_5 = PyTuple_New(1); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1118, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __Pyx_INCREF(__pyx_v_t);
    __Pyx_GIVEREF(__pyx_v_t);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_v_t)) __PYX_ERR(0, 1118, __pyx_L1_error);
    __pyx_t_6 = PyNumber_Add(__pyx_t_4, __pyx_t_5); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1118, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __pyx_t_5 = __Pyx_PyObject_Call(__pyx_t_3, __pyx_t_6, NULL); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1118, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __pyx_r = __pyx_t_5;
    __pyx_t_5 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":1117
 *     elif len(seg) == 3:
 *         return quadraticPointAtT(*seg, t)
 *     elif len(seg) == 4:             # <<<<<<<<<<<<<<
 *         return cubicPointAtT(*seg, t)
 *     raise ValueError("Unknown curve degree")
 */
  }

  /* "fontTools/misc/bezierTools.py":1119
 *     elif len(seg) == 4:
 *         return cubicPointAtT(*seg, t)
 *     raise ValueError("Unknown curve degree")             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_t_5 = __Pyx_PyObject_Call(__pyx_builtin_ValueError, __pyx_tuple__4, NULL); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1119, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_Raise(__pyx_t_5, 0, 0, 0);
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  __PYX_ERR(0, 1119, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":1112
 * 
 * 
 * def segmentPointAtT(seg, t):             # <<<<<<<<<<<<<<
 *     if len(seg) == 2:
 *         return linePointAtT(*seg, t)
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.segmentPointAtT", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1127
 * 
 * 
 * def _line_t_of_pt(s, e, pt):             # <<<<<<<<<<<<<<
 *     sx, sy = s
 *     ex, ey = e
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_69_line_t_of_pt(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_68_line_t_of_pt, "_line_t_of_pt(s, e, pt)");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_69_line_t_of_pt = {"_line_t_of_pt", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_69_line_t_of_pt, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_68_line_t_of_pt};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_69_line_t_of_pt(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_s = 0;
  PyObject *__pyx_v_e = 0;
  PyObject *__pyx_v_pt = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[3] = {0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("_line_t_of_pt (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_s,&__pyx_n_s_e,&__pyx_n_s_pt,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  3: values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_s)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1127, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_e)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[1]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1127, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("_line_t_of_pt", 1, 3, 3, 1); __PYX_ERR(0, 1127, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_pt)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[2]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1127, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("_line_t_of_pt", 1, 3, 3, 2); __PYX_ERR(0, 1127, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "_line_t_of_pt") < 0)) __PYX_ERR(0, 1127, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs != 3)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
      values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
      values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
    }
    __pyx_v_s = values[0];
    __pyx_v_e = values[1];
    __pyx_v_pt = values[2];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("_line_t_of_pt", 1, 3, 3, __pyx_nargs); __PYX_ERR(0, 1127, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools._line_t_of_pt", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_68_line_t_of_pt(__pyx_self, __pyx_v_s, __pyx_v_e, __pyx_v_pt);

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_68_line_t_of_pt(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_s, PyObject *__pyx_v_e, PyObject *__pyx_v_pt) {
  PyObject *__pyx_v_sx = NULL;
  PyObject *__pyx_v_sy = NULL;
  PyObject *__pyx_v_ex = NULL;
  PyObject *__pyx_v_ey = NULL;
  PyObject *__pyx_v_px = NULL;
  PyObject *__pyx_v_py = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *(*__pyx_t_4)(PyObject *);
  int __pyx_t_5;
  int __pyx_t_6;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("_line_t_of_pt", 1);

  /* "fontTools/misc/bezierTools.py":1128
 * 
 * def _line_t_of_pt(s, e, pt):
 *     sx, sy = s             # <<<<<<<<<<<<<<
 *     ex, ey = e
 *     px, py = pt
 */
  if ((likely(PyTuple_CheckExact(__pyx_v_s))) || (PyList_CheckExact(__pyx_v_s))) {
    PyObject* sequence = __pyx_v_s;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 1128, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 1); 
    } else {
      __pyx_t_1 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_2 = PyList_GET_ITEM(sequence, 1); 
    }
    __Pyx_INCREF(__pyx_t_1);
    __Pyx_INCREF(__pyx_t_2);
    #else
    __pyx_t_1 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1128, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1128, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_3 = PyObject_GetIter(__pyx_v_s); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1128, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_3);
    index = 0; __pyx_t_1 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_1)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    index = 1; __pyx_t_2 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_2)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_4(__pyx_t_3), 2) < 0) __PYX_ERR(0, 1128, __pyx_L1_error)
    __pyx_t_4 = NULL;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    goto __pyx_L4_unpacking_done;
    __pyx_L3_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 1128, __pyx_L1_error)
    __pyx_L4_unpacking_done:;
  }
  __pyx_v_sx = __pyx_t_1;
  __pyx_t_1 = 0;
  __pyx_v_sy = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1129
 * def _line_t_of_pt(s, e, pt):
 *     sx, sy = s
 *     ex, ey = e             # <<<<<<<<<<<<<<
 *     px, py = pt
 *     if abs(sx - ex) < epsilon and abs(sy - ey) < epsilon:
 */
  if ((likely(PyTuple_CheckExact(__pyx_v_e))) || (PyList_CheckExact(__pyx_v_e))) {
    PyObject* sequence = __pyx_v_e;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 1129, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 1); 
    } else {
      __pyx_t_2 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_1 = PyList_GET_ITEM(sequence, 1); 
    }
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx_t_1);
    #else
    __pyx_t_2 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1129, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1129, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_3 = PyObject_GetIter(__pyx_v_e); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1129, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_3);
    index = 0; __pyx_t_2 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_2)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    index = 1; __pyx_t_1 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_1)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_4(__pyx_t_3), 2) < 0) __PYX_ERR(0, 1129, __pyx_L1_error)
    __pyx_t_4 = NULL;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    goto __pyx_L6_unpacking_done;
    __pyx_L5_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 1129, __pyx_L1_error)
    __pyx_L6_unpacking_done:;
  }
  __pyx_v_ex = __pyx_t_2;
  __pyx_t_2 = 0;
  __pyx_v_ey = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1130
 *     sx, sy = s
 *     ex, ey = e
 *     px, py = pt             # <<<<<<<<<<<<<<
 *     if abs(sx - ex) < epsilon and abs(sy - ey) < epsilon:
 *         # Line is a point!
 */
  if ((likely(PyTuple_CheckExact(__pyx_v_pt))) || (PyList_CheckExact(__pyx_v_pt))) {
    PyObject* sequence = __pyx_v_pt;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 1130, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 1); 
    } else {
      __pyx_t_1 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_2 = PyList_GET_ITEM(sequence, 1); 
    }
    __Pyx_INCREF(__pyx_t_1);
    __Pyx_INCREF(__pyx_t_2);
    #else
    __pyx_t_1 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1130, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1130, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_3 = PyObject_GetIter(__pyx_v_pt); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1130, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_3);
    index = 0; __pyx_t_1 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_1)) goto __pyx_L7_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    index = 1; __pyx_t_2 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_2)) goto __pyx_L7_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_4(__pyx_t_3), 2) < 0) __PYX_ERR(0, 1130, __pyx_L1_error)
    __pyx_t_4 = NULL;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    goto __pyx_L8_unpacking_done;
    __pyx_L7_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 1130, __pyx_L1_error)
    __pyx_L8_unpacking_done:;
  }
  __pyx_v_px = __pyx_t_1;
  __pyx_t_1 = 0;
  __pyx_v_py = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1131
 *     ex, ey = e
 *     px, py = pt
 *     if abs(sx - ex) < epsilon and abs(sy - ey) < epsilon:             # <<<<<<<<<<<<<<
 *         # Line is a point!
 *         return -1
 */
  __pyx_t_2 = PyNumber_Subtract(__pyx_v_sx, __pyx_v_ex); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1131, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_1 = __Pyx_PyNumber_Absolute(__pyx_t_2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1131, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_epsilon); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1131, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = PyObject_RichCompare(__pyx_t_1, __pyx_t_2, Py_LT); __Pyx_XGOTREF(__pyx_t_3); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1131, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_t_3); if (unlikely((__pyx_t_6 < 0))) __PYX_ERR(0, 1131, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  if (__pyx_t_6) {
  } else {
    __pyx_t_5 = __pyx_t_6;
    goto __pyx_L10_bool_binop_done;
  }
  __pyx_t_3 = PyNumber_Subtract(__pyx_v_sy, __pyx_v_ey); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1131, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_2 = __Pyx_PyNumber_Absolute(__pyx_t_3); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1131, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_epsilon); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1131, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_1 = PyObject_RichCompare(__pyx_t_2, __pyx_t_3, Py_LT); __Pyx_XGOTREF(__pyx_t_1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1131, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely((__pyx_t_6 < 0))) __PYX_ERR(0, 1131, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_5 = __pyx_t_6;
  __pyx_L10_bool_binop_done:;
  if (__pyx_t_5) {

    /* "fontTools/misc/bezierTools.py":1133
 *     if abs(sx - ex) < epsilon and abs(sy - ey) < epsilon:
 *         # Line is a point!
 *         return -1             # <<<<<<<<<<<<<<
 *     # Use the largest
 *     if abs(sx - ex) > abs(sy - ey):
 */
    __Pyx_XDECREF(__pyx_r);
    __Pyx_INCREF(__pyx_int_neg_1);
    __pyx_r = __pyx_int_neg_1;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":1131
 *     ex, ey = e
 *     px, py = pt
 *     if abs(sx - ex) < epsilon and abs(sy - ey) < epsilon:             # <<<<<<<<<<<<<<
 *         # Line is a point!
 *         return -1
 */
  }

  /* "fontTools/misc/bezierTools.py":1135
 *         return -1
 *     # Use the largest
 *     if abs(sx - ex) > abs(sy - ey):             # <<<<<<<<<<<<<<
 *         return (px - sx) / (ex - sx)
 *     else:
 */
  __pyx_t_1 = PyNumber_Subtract(__pyx_v_sx, __pyx_v_ex); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1135, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_3 = __Pyx_PyNumber_Absolute(__pyx_t_1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1135, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyNumber_Subtract(__pyx_v_sy, __pyx_v_ey); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1135, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __Pyx_PyNumber_Absolute(__pyx_t_1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1135, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyObject_RichCompare(__pyx_t_3, __pyx_t_2, Py_GT); __Pyx_XGOTREF(__pyx_t_1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1135, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_5 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely((__pyx_t_5 < 0))) __PYX_ERR(0, 1135, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  if (__pyx_t_5) {

    /* "fontTools/misc/bezierTools.py":1136
 *     # Use the largest
 *     if abs(sx - ex) > abs(sy - ey):
 *         return (px - sx) / (ex - sx)             # <<<<<<<<<<<<<<
 *     else:
 *         return (py - sy) / (ey - sy)
 */
    __Pyx_XDECREF(__pyx_r);
    __pyx_t_1 = PyNumber_Subtract(__pyx_v_px, __pyx_v_sx); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1136, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = PyNumber_Subtract(__pyx_v_ex, __pyx_v_sx); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1136, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_3 = __Pyx_PyNumber_Divide(__pyx_t_1, __pyx_t_2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1136, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_r = __pyx_t_3;
    __pyx_t_3 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":1135
 *         return -1
 *     # Use the largest
 *     if abs(sx - ex) > abs(sy - ey):             # <<<<<<<<<<<<<<
 *         return (px - sx) / (ex - sx)
 *     else:
 */
  }

  /* "fontTools/misc/bezierTools.py":1138
 *         return (px - sx) / (ex - sx)
 *     else:
 *         return (py - sy) / (ey - sy)             # <<<<<<<<<<<<<<
 * 
 * 
 */
  /*else*/ {
    __Pyx_XDECREF(__pyx_r);
    __pyx_t_3 = PyNumber_Subtract(__pyx_v_py, __pyx_v_sy); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1138, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_2 = PyNumber_Subtract(__pyx_v_ey, __pyx_v_sy); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1138, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = __Pyx_PyNumber_Divide(__pyx_t_3, __pyx_t_2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1138, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_r = __pyx_t_1;
    __pyx_t_1 = 0;
    goto __pyx_L0;
  }

  /* "fontTools/misc/bezierTools.py":1127
 * 
 * 
 * def _line_t_of_pt(s, e, pt):             # <<<<<<<<<<<<<<
 *     sx, sy = s
 *     ex, ey = e
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_AddTraceback("fontTools.misc.bezierTools._line_t_of_pt", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_sx);
  __Pyx_XDECREF(__pyx_v_sy);
  __Pyx_XDECREF(__pyx_v_ex);
  __Pyx_XDECREF(__pyx_v_ey);
  __Pyx_XDECREF(__pyx_v_px);
  __Pyx_XDECREF(__pyx_v_py);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1141
 * 
 * 
 * def _both_points_are_on_same_side_of_origin(a, b, origin):             # <<<<<<<<<<<<<<
 *     xDiff = (a[0] - origin[0]) * (b[0] - origin[0])
 *     yDiff = (a[1] - origin[1]) * (b[1] - origin[1])
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_71_both_points_are_on_same_side_of_origin(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_70_both_points_are_on_same_side_of_origin, "_both_points_are_on_same_side_of_origin(a, b, origin)");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_71_both_points_are_on_same_side_of_origin = {"_both_points_are_on_same_side_of_origin", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_71_both_points_are_on_same_side_of_origin, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_70_both_points_are_on_same_side_of_origin};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_71_both_points_are_on_same_side_of_origin(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_a = 0;
  PyObject *__pyx_v_b = 0;
  PyObject *__pyx_v_origin = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[3] = {0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("_both_points_are_on_same_side_of_origin (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_a,&__pyx_n_s_b,&__pyx_n_s_origin,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  3: values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_a)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1141, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_b)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[1]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1141, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("_both_points_are_on_same_side_of_origin", 1, 3, 3, 1); __PYX_ERR(0, 1141, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_origin)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[2]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1141, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("_both_points_are_on_same_side_of_origin", 1, 3, 3, 2); __PYX_ERR(0, 1141, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "_both_points_are_on_same_side_of_origin") < 0)) __PYX_ERR(0, 1141, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs != 3)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
      values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
      values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
    }
    __pyx_v_a = values[0];
    __pyx_v_b = values[1];
    __pyx_v_origin = values[2];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("_both_points_are_on_same_side_of_origin", 1, 3, 3, __pyx_nargs); __PYX_ERR(0, 1141, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools._both_points_are_on_same_side_of_origin", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_70_both_points_are_on_same_side_of_origin(__pyx_self, __pyx_v_a, __pyx_v_b, __pyx_v_origin);

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_70_both_points_are_on_same_side_of_origin(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_a, PyObject *__pyx_v_b, PyObject *__pyx_v_origin) {
  PyObject *__pyx_v_xDiff = NULL;
  PyObject *__pyx_v_yDiff = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  int __pyx_t_5;
  int __pyx_t_6;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("_both_points_are_on_same_side_of_origin", 1);

  /* "fontTools/misc/bezierTools.py":1142
 * 
 * def _both_points_are_on_same_side_of_origin(a, b, origin):
 *     xDiff = (a[0] - origin[0]) * (b[0] - origin[0])             # <<<<<<<<<<<<<<
 *     yDiff = (a[1] - origin[1]) * (b[1] - origin[1])
 *     return not (xDiff <= 0.0 and yDiff <= 0.0)
 */
  __pyx_t_1 = __Pyx_GetItemInt(__pyx_v_a, 0, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1142, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __Pyx_GetItemInt(__pyx_v_origin, 0, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1142, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = PyNumber_Subtract(__pyx_t_1, __pyx_t_2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1142, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = __Pyx_GetItemInt(__pyx_v_b, 0, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1142, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_1 = __Pyx_GetItemInt(__pyx_v_origin, 0, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1142, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_4 = PyNumber_Subtract(__pyx_t_2, __pyx_t_1); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1142, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyNumber_Multiply(__pyx_t_3, __pyx_t_4); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1142, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_v_xDiff = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1143
 * def _both_points_are_on_same_side_of_origin(a, b, origin):
 *     xDiff = (a[0] - origin[0]) * (b[0] - origin[0])
 *     yDiff = (a[1] - origin[1]) * (b[1] - origin[1])             # <<<<<<<<<<<<<<
 *     return not (xDiff <= 0.0 and yDiff <= 0.0)
 * 
 */
  __pyx_t_1 = __Pyx_GetItemInt(__pyx_v_a, 1, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1143, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_4 = __Pyx_GetItemInt(__pyx_v_origin, 1, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1143, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_3 = PyNumber_Subtract(__pyx_t_1, __pyx_t_4); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1143, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_t_4 = __Pyx_GetItemInt(__pyx_v_b, 1, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1143, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_1 = __Pyx_GetItemInt(__pyx_v_origin, 1, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1143, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = PyNumber_Subtract(__pyx_t_4, __pyx_t_1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1143, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyNumber_Multiply(__pyx_t_3, __pyx_t_2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1143, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_v_yDiff = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1144
 *     xDiff = (a[0] - origin[0]) * (b[0] - origin[0])
 *     yDiff = (a[1] - origin[1]) * (b[1] - origin[1])
 *     return not (xDiff <= 0.0 and yDiff <= 0.0)             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = PyObject_RichCompare(__pyx_v_xDiff, __pyx_float_0_0, Py_LE); __Pyx_XGOTREF(__pyx_t_1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1144, __pyx_L1_error)
  __pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely((__pyx_t_6 < 0))) __PYX_ERR(0, 1144, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  if (__pyx_t_6) {
  } else {
    __pyx_t_5 = __pyx_t_6;
    goto __pyx_L3_bool_binop_done;
  }
  __pyx_t_1 = PyObject_RichCompare(__pyx_v_yDiff, __pyx_float_0_0, Py_LE); __Pyx_XGOTREF(__pyx_t_1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1144, __pyx_L1_error)
  __pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely((__pyx_t_6 < 0))) __PYX_ERR(0, 1144, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_5 = __pyx_t_6;
  __pyx_L3_bool_binop_done:;
  __pyx_t_1 = __Pyx_PyBool_FromLong((!__pyx_t_5)); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1144, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_r = __pyx_t_1;
  __pyx_t_1 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":1141
 * 
 * 
 * def _both_points_are_on_same_side_of_origin(a, b, origin):             # <<<<<<<<<<<<<<
 *     xDiff = (a[0] - origin[0]) * (b[0] - origin[0])
 *     yDiff = (a[1] - origin[1]) * (b[1] - origin[1])
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_AddTraceback("fontTools.misc.bezierTools._both_points_are_on_same_side_of_origin", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_xDiff);
  __Pyx_XDECREF(__pyx_v_yDiff);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1147
 * 
 * 
 * def lineLineIntersections(s1, e1, s2, e2):             # <<<<<<<<<<<<<<
 *     """Finds intersections between two line segments.
 * 
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_73lineLineIntersections(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_72lineLineIntersections, "lineLineIntersections(s1, e1, s2, e2)\nFinds intersections between two line segments.\n\n    Args:\n        s1, e1: Coordinates of the first line as 2D tuples.\n        s2, e2: Coordinates of the second line as 2D tuples.\n\n    Returns:\n        A list of ``Intersection`` objects, each object having ``pt``, ``t1``\n        and ``t2`` attributes containing the intersection point, time on first\n        segment and time on second segment respectively.\n\n    Examples::\n\n        >>> a = lineLineIntersections( (310,389), (453, 222), (289, 251), (447, 367))\n        >>> len(a)\n        1\n        >>> intersection = a[0]\n        >>> intersection.pt\n        (374.44882952482897, 313.73458370177315)\n        >>> (intersection.t1, intersection.t2)\n        (0.45069111555824465, 0.5408153767394238)\n    ");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_73lineLineIntersections = {"lineLineIntersections", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_73lineLineIntersections, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_72lineLineIntersections};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_73lineLineIntersections(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_s1 = 0;
  PyObject *__pyx_v_e1 = 0;
  PyObject *__pyx_v_s2 = 0;
  PyObject *__pyx_v_e2 = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[4] = {0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("lineLineIntersections (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_s1,&__pyx_n_s_e1,&__pyx_n_s_s2,&__pyx_n_s_e2,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  4: values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_s1)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1147, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_e1)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[1]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1147, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("lineLineIntersections", 1, 4, 4, 1); __PYX_ERR(0, 1147, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_s2)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[2]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1147, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("lineLineIntersections", 1, 4, 4, 2); __PYX_ERR(0, 1147, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  3:
        if (likely((values[3] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_e2)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[3]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1147, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("lineLineIntersections", 1, 4, 4, 3); __PYX_ERR(0, 1147, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "lineLineIntersections") < 0)) __PYX_ERR(0, 1147, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs != 4)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
      values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
      values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
      values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
    }
    __pyx_v_s1 = values[0];
    __pyx_v_e1 = values[1];
    __pyx_v_s2 = values[2];
    __pyx_v_e2 = values[3];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("lineLineIntersections", 1, 4, 4, __pyx_nargs); __PYX_ERR(0, 1147, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.lineLineIntersections", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_72lineLineIntersections(__pyx_self, __pyx_v_s1, __pyx_v_e1, __pyx_v_s2, __pyx_v_e2);

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_72lineLineIntersections(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_s1, PyObject *__pyx_v_e1, PyObject *__pyx_v_s2, PyObject *__pyx_v_e2) {
  PyObject *__pyx_v_s1x = NULL;
  PyObject *__pyx_v_s1y = NULL;
  PyObject *__pyx_v_e1x = NULL;
  PyObject *__pyx_v_e1y = NULL;
  PyObject *__pyx_v_s2x = NULL;
  PyObject *__pyx_v_s2y = NULL;
  PyObject *__pyx_v_e2x = NULL;
  PyObject *__pyx_v_e2y = NULL;
  PyObject *__pyx_v_x = NULL;
  PyObject *__pyx_v_slope34 = NULL;
  PyObject *__pyx_v_y = NULL;
  PyObject *__pyx_v_pt = NULL;
  PyObject *__pyx_v_slope12 = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *(*__pyx_t_4)(PyObject *);
  int __pyx_t_5;
  int __pyx_t_6;
  int __pyx_t_7;
  int __pyx_t_8;
  PyObject *__pyx_t_9 = NULL;
  PyObject *__pyx_t_10 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("lineLineIntersections", 1);

  /* "fontTools/misc/bezierTools.py":1170
 *         (0.45069111555824465, 0.5408153767394238)
 *     """
 *     s1x, s1y = s1             # <<<<<<<<<<<<<<
 *     e1x, e1y = e1
 *     s2x, s2y = s2
 */
  if ((likely(PyTuple_CheckExact(__pyx_v_s1))) || (PyList_CheckExact(__pyx_v_s1))) {
    PyObject* sequence = __pyx_v_s1;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 1170, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 1); 
    } else {
      __pyx_t_1 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_2 = PyList_GET_ITEM(sequence, 1); 
    }
    __Pyx_INCREF(__pyx_t_1);
    __Pyx_INCREF(__pyx_t_2);
    #else
    __pyx_t_1 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1170, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1170, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_3 = PyObject_GetIter(__pyx_v_s1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1170, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_3);
    index = 0; __pyx_t_1 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_1)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    index = 1; __pyx_t_2 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_2)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_4(__pyx_t_3), 2) < 0) __PYX_ERR(0, 1170, __pyx_L1_error)
    __pyx_t_4 = NULL;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    goto __pyx_L4_unpacking_done;
    __pyx_L3_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 1170, __pyx_L1_error)
    __pyx_L4_unpacking_done:;
  }
  __pyx_v_s1x = __pyx_t_1;
  __pyx_t_1 = 0;
  __pyx_v_s1y = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1171
 *     """
 *     s1x, s1y = s1
 *     e1x, e1y = e1             # <<<<<<<<<<<<<<
 *     s2x, s2y = s2
 *     e2x, e2y = e2
 */
  if ((likely(PyTuple_CheckExact(__pyx_v_e1))) || (PyList_CheckExact(__pyx_v_e1))) {
    PyObject* sequence = __pyx_v_e1;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 1171, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 1); 
    } else {
      __pyx_t_2 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_1 = PyList_GET_ITEM(sequence, 1); 
    }
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx_t_1);
    #else
    __pyx_t_2 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1171, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1171, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_3 = PyObject_GetIter(__pyx_v_e1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1171, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_3);
    index = 0; __pyx_t_2 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_2)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    index = 1; __pyx_t_1 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_1)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_4(__pyx_t_3), 2) < 0) __PYX_ERR(0, 1171, __pyx_L1_error)
    __pyx_t_4 = NULL;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    goto __pyx_L6_unpacking_done;
    __pyx_L5_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 1171, __pyx_L1_error)
    __pyx_L6_unpacking_done:;
  }
  __pyx_v_e1x = __pyx_t_2;
  __pyx_t_2 = 0;
  __pyx_v_e1y = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1172
 *     s1x, s1y = s1
 *     e1x, e1y = e1
 *     s2x, s2y = s2             # <<<<<<<<<<<<<<
 *     e2x, e2y = e2
 *     if (
 */
  if ((likely(PyTuple_CheckExact(__pyx_v_s2))) || (PyList_CheckExact(__pyx_v_s2))) {
    PyObject* sequence = __pyx_v_s2;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 1172, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 1); 
    } else {
      __pyx_t_1 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_2 = PyList_GET_ITEM(sequence, 1); 
    }
    __Pyx_INCREF(__pyx_t_1);
    __Pyx_INCREF(__pyx_t_2);
    #else
    __pyx_t_1 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1172, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1172, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_3 = PyObject_GetIter(__pyx_v_s2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1172, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_3);
    index = 0; __pyx_t_1 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_1)) goto __pyx_L7_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    index = 1; __pyx_t_2 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_2)) goto __pyx_L7_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_4(__pyx_t_3), 2) < 0) __PYX_ERR(0, 1172, __pyx_L1_error)
    __pyx_t_4 = NULL;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    goto __pyx_L8_unpacking_done;
    __pyx_L7_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 1172, __pyx_L1_error)
    __pyx_L8_unpacking_done:;
  }
  __pyx_v_s2x = __pyx_t_1;
  __pyx_t_1 = 0;
  __pyx_v_s2y = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1173
 *     e1x, e1y = e1
 *     s2x, s2y = s2
 *     e2x, e2y = e2             # <<<<<<<<<<<<<<
 *     if (
 *         math.isclose(s2x, e2x) and math.isclose(s1x, e1x) and not math.isclose(s1x, s2x)
 */
  if ((likely(PyTuple_CheckExact(__pyx_v_e2))) || (PyList_CheckExact(__pyx_v_e2))) {
    PyObject* sequence = __pyx_v_e2;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 1173, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 1); 
    } else {
      __pyx_t_2 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_1 = PyList_GET_ITEM(sequence, 1); 
    }
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx_t_1);
    #else
    __pyx_t_2 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1173, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1173, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    #endif
  } else {
    Py_ssize_t index = -1;
    __pyx_t_3 = PyObject_GetIter(__pyx_v_e2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1173, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_3);
    index = 0; __pyx_t_2 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_2)) goto __pyx_L9_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    index = 1; __pyx_t_1 = __pyx_t_4(__pyx_t_3); if (unlikely(!__pyx_t_1)) goto __pyx_L9_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_4(__pyx_t_3), 2) < 0) __PYX_ERR(0, 1173, __pyx_L1_error)
    __pyx_t_4 = NULL;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    goto __pyx_L10_unpacking_done;
    __pyx_L9_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 1173, __pyx_L1_error)
    __pyx_L10_unpacking_done:;
  }
  __pyx_v_e2x = __pyx_t_2;
  __pyx_t_2 = 0;
  __pyx_v_e2y = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1175
 *     e2x, e2y = e2
 *     if (
 *         math.isclose(s2x, e2x) and math.isclose(s1x, e1x) and not math.isclose(s1x, s2x)             # <<<<<<<<<<<<<<
 *     ):  # Parallel vertical
 *         return []
 */
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_math); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1175, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = __Pyx_PyObject_GetAttrStr(__pyx_t_2, __pyx_n_s_isclose); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1175, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = NULL;
  __pyx_t_6 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_3))) {
    __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_3);
    if (likely(__pyx_t_2)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_3);
      __Pyx_INCREF(__pyx_t_2);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_3, function);
      __pyx_t_6 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[3] = {__pyx_t_2, __pyx_v_s2x, __pyx_v_e2x};
    __pyx_t_1 = __Pyx_PyObject_FastCall(__pyx_t_3, __pyx_callargs+1-__pyx_t_6, 2+__pyx_t_6);
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1175, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  }
  __pyx_t_7 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely((__pyx_t_7 < 0))) __PYX_ERR(0, 1175, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  if (__pyx_t_7) {
  } else {
    __pyx_t_5 = __pyx_t_7;
    goto __pyx_L12_bool_binop_done;
  }
  __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_math); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1175, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_2 = __Pyx_PyObject_GetAttrStr(__pyx_t_3, __pyx_n_s_isclose); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1175, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = NULL;
  __pyx_t_6 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_2))) {
    __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_2);
    if (likely(__pyx_t_3)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_2);
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_2, function);
      __pyx_t_6 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[3] = {__pyx_t_3, __pyx_v_s1x, __pyx_v_e1x};
    __pyx_t_1 = __Pyx_PyObject_FastCall(__pyx_t_2, __pyx_callargs+1-__pyx_t_6, 2+__pyx_t_6);
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1175, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  }
  __pyx_t_7 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely((__pyx_t_7 < 0))) __PYX_ERR(0, 1175, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  if (__pyx_t_7) {
  } else {
    __pyx_t_5 = __pyx_t_7;
    goto __pyx_L12_bool_binop_done;
  }
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_math); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1175, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = __Pyx_PyObject_GetAttrStr(__pyx_t_2, __pyx_n_s_isclose); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1175, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = NULL;
  __pyx_t_6 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_3))) {
    __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_3);
    if (likely(__pyx_t_2)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_3);
      __Pyx_INCREF(__pyx_t_2);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_3, function);
      __pyx_t_6 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[3] = {__pyx_t_2, __pyx_v_s1x, __pyx_v_s2x};
    __pyx_t_1 = __Pyx_PyObject_FastCall(__pyx_t_3, __pyx_callargs+1-__pyx_t_6, 2+__pyx_t_6);
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1175, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  }
  __pyx_t_7 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely((__pyx_t_7 < 0))) __PYX_ERR(0, 1175, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_8 = (!__pyx_t_7);
  __pyx_t_5 = __pyx_t_8;
  __pyx_L12_bool_binop_done:;

  /* "fontTools/misc/bezierTools.py":1174
 *     s2x, s2y = s2
 *     e2x, e2y = e2
 *     if (             # <<<<<<<<<<<<<<
 *         math.isclose(s2x, e2x) and math.isclose(s1x, e1x) and not math.isclose(s1x, s2x)
 *     ):  # Parallel vertical
 */
  if (__pyx_t_5) {

    /* "fontTools/misc/bezierTools.py":1177
 *         math.isclose(s2x, e2x) and math.isclose(s1x, e1x) and not math.isclose(s1x, s2x)
 *     ):  # Parallel vertical
 *         return []             # <<<<<<<<<<<<<<
 *     if (
 *         math.isclose(s2y, e2y) and math.isclose(s1y, e1y) and not math.isclose(s1y, s2y)
 */
    __Pyx_XDECREF(__pyx_r);
    __pyx_t_1 = PyList_New(0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1177, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_r = __pyx_t_1;
    __pyx_t_1 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":1174
 *     s2x, s2y = s2
 *     e2x, e2y = e2
 *     if (             # <<<<<<<<<<<<<<
 *         math.isclose(s2x, e2x) and math.isclose(s1x, e1x) and not math.isclose(s1x, s2x)
 *     ):  # Parallel vertical
 */
  }

  /* "fontTools/misc/bezierTools.py":1179
 *         return []
 *     if (
 *         math.isclose(s2y, e2y) and math.isclose(s1y, e1y) and not math.isclose(s1y, s2y)             # <<<<<<<<<<<<<<
 *     ):  # Parallel horizontal
 *         return []
 */
  __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_math); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1179, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_2 = __Pyx_PyObject_GetAttrStr(__pyx_t_3, __pyx_n_s_isclose); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1179, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = NULL;
  __pyx_t_6 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_2))) {
    __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_2);
    if (likely(__pyx_t_3)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_2);
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_2, function);
      __pyx_t_6 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[3] = {__pyx_t_3, __pyx_v_s2y, __pyx_v_e2y};
    __pyx_t_1 = __Pyx_PyObject_FastCall(__pyx_t_2, __pyx_callargs+1-__pyx_t_6, 2+__pyx_t_6);
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1179, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  }
  __pyx_t_8 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely((__pyx_t_8 < 0))) __PYX_ERR(0, 1179, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  if (__pyx_t_8) {
  } else {
    __pyx_t_5 = __pyx_t_8;
    goto __pyx_L16_bool_binop_done;
  }
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_math); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1179, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = __Pyx_PyObject_GetAttrStr(__pyx_t_2, __pyx_n_s_isclose); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1179, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = NULL;
  __pyx_t_6 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_3))) {
    __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_3);
    if (likely(__pyx_t_2)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_3);
      __Pyx_INCREF(__pyx_t_2);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_3, function);
      __pyx_t_6 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[3] = {__pyx_t_2, __pyx_v_s1y, __pyx_v_e1y};
    __pyx_t_1 = __Pyx_PyObject_FastCall(__pyx_t_3, __pyx_callargs+1-__pyx_t_6, 2+__pyx_t_6);
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1179, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  }
  __pyx_t_8 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely((__pyx_t_8 < 0))) __PYX_ERR(0, 1179, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  if (__pyx_t_8) {
  } else {
    __pyx_t_5 = __pyx_t_8;
    goto __pyx_L16_bool_binop_done;
  }
  __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_math); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1179, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_2 = __Pyx_PyObject_GetAttrStr(__pyx_t_3, __pyx_n_s_isclose); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1179, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = NULL;
  __pyx_t_6 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_2))) {
    __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_2);
    if (likely(__pyx_t_3)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_2);
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_2, function);
      __pyx_t_6 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[3] = {__pyx_t_3, __pyx_v_s1y, __pyx_v_s2y};
    __pyx_t_1 = __Pyx_PyObject_FastCall(__pyx_t_2, __pyx_callargs+1-__pyx_t_6, 2+__pyx_t_6);
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1179, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  }
  __pyx_t_8 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely((__pyx_t_8 < 0))) __PYX_ERR(0, 1179, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_7 = (!__pyx_t_8);
  __pyx_t_5 = __pyx_t_7;
  __pyx_L16_bool_binop_done:;

  /* "fontTools/misc/bezierTools.py":1178
 *     ):  # Parallel vertical
 *         return []
 *     if (             # <<<<<<<<<<<<<<
 *         math.isclose(s2y, e2y) and math.isclose(s1y, e1y) and not math.isclose(s1y, s2y)
 *     ):  # Parallel horizontal
 */
  if (__pyx_t_5) {

    /* "fontTools/misc/bezierTools.py":1181
 *         math.isclose(s2y, e2y) and math.isclose(s1y, e1y) and not math.isclose(s1y, s2y)
 *     ):  # Parallel horizontal
 *         return []             # <<<<<<<<<<<<<<
 *     if math.isclose(s2x, e2x) and math.isclose(s2y, e2y):  # Line segment is tiny
 *         return []
 */
    __Pyx_XDECREF(__pyx_r);
    __pyx_t_1 = PyList_New(0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1181, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_r = __pyx_t_1;
    __pyx_t_1 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":1178
 *     ):  # Parallel vertical
 *         return []
 *     if (             # <<<<<<<<<<<<<<
 *         math.isclose(s2y, e2y) and math.isclose(s1y, e1y) and not math.isclose(s1y, s2y)
 *     ):  # Parallel horizontal
 */
  }

  /* "fontTools/misc/bezierTools.py":1182
 *     ):  # Parallel horizontal
 *         return []
 *     if math.isclose(s2x, e2x) and math.isclose(s2y, e2y):  # Line segment is tiny             # <<<<<<<<<<<<<<
 *         return []
 *     if math.isclose(s1x, e1x) and math.isclose(s1y, e1y):  # Line segment is tiny
 */
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_math); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1182, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = __Pyx_PyObject_GetAttrStr(__pyx_t_2, __pyx_n_s_isclose); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1182, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = NULL;
  __pyx_t_6 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_3))) {
    __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_3);
    if (likely(__pyx_t_2)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_3);
      __Pyx_INCREF(__pyx_t_2);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_3, function);
      __pyx_t_6 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[3] = {__pyx_t_2, __pyx_v_s2x, __pyx_v_e2x};
    __pyx_t_1 = __Pyx_PyObject_FastCall(__pyx_t_3, __pyx_callargs+1-__pyx_t_6, 2+__pyx_t_6);
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1182, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  }
  __pyx_t_7 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely((__pyx_t_7 < 0))) __PYX_ERR(0, 1182, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  if (__pyx_t_7) {
  } else {
    __pyx_t_5 = __pyx_t_7;
    goto __pyx_L20_bool_binop_done;
  }
  __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_math); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1182, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_2 = __Pyx_PyObject_GetAttrStr(__pyx_t_3, __pyx_n_s_isclose); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1182, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = NULL;
  __pyx_t_6 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_2))) {
    __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_2);
    if (likely(__pyx_t_3)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_2);
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_2, function);
      __pyx_t_6 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[3] = {__pyx_t_3, __pyx_v_s2y, __pyx_v_e2y};
    __pyx_t_1 = __Pyx_PyObject_FastCall(__pyx_t_2, __pyx_callargs+1-__pyx_t_6, 2+__pyx_t_6);
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1182, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  }
  __pyx_t_7 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely((__pyx_t_7 < 0))) __PYX_ERR(0, 1182, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_5 = __pyx_t_7;
  __pyx_L20_bool_binop_done:;
  if (__pyx_t_5) {

    /* "fontTools/misc/bezierTools.py":1183
 *         return []
 *     if math.isclose(s2x, e2x) and math.isclose(s2y, e2y):  # Line segment is tiny
 *         return []             # <<<<<<<<<<<<<<
 *     if math.isclose(s1x, e1x) and math.isclose(s1y, e1y):  # Line segment is tiny
 *         return []
 */
    __Pyx_XDECREF(__pyx_r);
    __pyx_t_1 = PyList_New(0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1183, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_r = __pyx_t_1;
    __pyx_t_1 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":1182
 *     ):  # Parallel horizontal
 *         return []
 *     if math.isclose(s2x, e2x) and math.isclose(s2y, e2y):  # Line segment is tiny             # <<<<<<<<<<<<<<
 *         return []
 *     if math.isclose(s1x, e1x) and math.isclose(s1y, e1y):  # Line segment is tiny
 */
  }

  /* "fontTools/misc/bezierTools.py":1184
 *     if math.isclose(s2x, e2x) and math.isclose(s2y, e2y):  # Line segment is tiny
 *         return []
 *     if math.isclose(s1x, e1x) and math.isclose(s1y, e1y):  # Line segment is tiny             # <<<<<<<<<<<<<<
 *         return []
 *     if math.isclose(e1x, s1x):
 */
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_math); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1184, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = __Pyx_PyObject_GetAttrStr(__pyx_t_2, __pyx_n_s_isclose); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1184, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = NULL;
  __pyx_t_6 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_3))) {
    __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_3);
    if (likely(__pyx_t_2)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_3);
      __Pyx_INCREF(__pyx_t_2);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_3, function);
      __pyx_t_6 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[3] = {__pyx_t_2, __pyx_v_s1x, __pyx_v_e1x};
    __pyx_t_1 = __Pyx_PyObject_FastCall(__pyx_t_3, __pyx_callargs+1-__pyx_t_6, 2+__pyx_t_6);
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1184, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  }
  __pyx_t_7 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely((__pyx_t_7 < 0))) __PYX_ERR(0, 1184, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  if (__pyx_t_7) {
  } else {
    __pyx_t_5 = __pyx_t_7;
    goto __pyx_L23_bool_binop_done;
  }
  __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_math); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1184, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_2 = __Pyx_PyObject_GetAttrStr(__pyx_t_3, __pyx_n_s_isclose); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1184, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = NULL;
  __pyx_t_6 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_2))) {
    __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_2);
    if (likely(__pyx_t_3)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_2);
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_2, function);
      __pyx_t_6 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[3] = {__pyx_t_3, __pyx_v_s1y, __pyx_v_e1y};
    __pyx_t_1 = __Pyx_PyObject_FastCall(__pyx_t_2, __pyx_callargs+1-__pyx_t_6, 2+__pyx_t_6);
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1184, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  }
  __pyx_t_7 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely((__pyx_t_7 < 0))) __PYX_ERR(0, 1184, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_5 = __pyx_t_7;
  __pyx_L23_bool_binop_done:;
  if (__pyx_t_5) {

    /* "fontTools/misc/bezierTools.py":1185
 *         return []
 *     if math.isclose(s1x, e1x) and math.isclose(s1y, e1y):  # Line segment is tiny
 *         return []             # <<<<<<<<<<<<<<
 *     if math.isclose(e1x, s1x):
 *         x = s1x
 */
    __Pyx_XDECREF(__pyx_r);
    __pyx_t_1 = PyList_New(0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1185, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_r = __pyx_t_1;
    __pyx_t_1 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":1184
 *     if math.isclose(s2x, e2x) and math.isclose(s2y, e2y):  # Line segment is tiny
 *         return []
 *     if math.isclose(s1x, e1x) and math.isclose(s1y, e1y):  # Line segment is tiny             # <<<<<<<<<<<<<<
 *         return []
 *     if math.isclose(e1x, s1x):
 */
  }

  /* "fontTools/misc/bezierTools.py":1186
 *     if math.isclose(s1x, e1x) and math.isclose(s1y, e1y):  # Line segment is tiny
 *         return []
 *     if math.isclose(e1x, s1x):             # <<<<<<<<<<<<<<
 *         x = s1x
 *         slope34 = (e2y - s2y) / (e2x - s2x)
 */
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_math); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1186, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = __Pyx_PyObject_GetAttrStr(__pyx_t_2, __pyx_n_s_isclose); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1186, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = NULL;
  __pyx_t_6 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_3))) {
    __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_3);
    if (likely(__pyx_t_2)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_3);
      __Pyx_INCREF(__pyx_t_2);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_3, function);
      __pyx_t_6 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[3] = {__pyx_t_2, __pyx_v_e1x, __pyx_v_s1x};
    __pyx_t_1 = __Pyx_PyObject_FastCall(__pyx_t_3, __pyx_callargs+1-__pyx_t_6, 2+__pyx_t_6);
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1186, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  }
  __pyx_t_5 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely((__pyx_t_5 < 0))) __PYX_ERR(0, 1186, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  if (__pyx_t_5) {

    /* "fontTools/misc/bezierTools.py":1187
 *         return []
 *     if math.isclose(e1x, s1x):
 *         x = s1x             # <<<<<<<<<<<<<<
 *         slope34 = (e2y - s2y) / (e2x - s2x)
 *         y = slope34 * (x - s2x) + s2y
 */
    __Pyx_INCREF(__pyx_v_s1x);
    __pyx_v_x = __pyx_v_s1x;

    /* "fontTools/misc/bezierTools.py":1188
 *     if math.isclose(e1x, s1x):
 *         x = s1x
 *         slope34 = (e2y - s2y) / (e2x - s2x)             # <<<<<<<<<<<<<<
 *         y = slope34 * (x - s2x) + s2y
 *         pt = (x, y)
 */
    __pyx_t_1 = PyNumber_Subtract(__pyx_v_e2y, __pyx_v_s2y); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1188, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_3 = PyNumber_Subtract(__pyx_v_e2x, __pyx_v_s2x); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1188, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_2 = __Pyx_PyNumber_Divide(__pyx_t_1, __pyx_t_3); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1188, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_v_slope34 = __pyx_t_2;
    __pyx_t_2 = 0;

    /* "fontTools/misc/bezierTools.py":1189
 *         x = s1x
 *         slope34 = (e2y - s2y) / (e2x - s2x)
 *         y = slope34 * (x - s2x) + s2y             # <<<<<<<<<<<<<<
 *         pt = (x, y)
 *         return [
 */
    __pyx_t_2 = PyNumber_Subtract(__pyx_v_x, __pyx_v_s2x); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1189, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_3 = PyNumber_Multiply(__pyx_v_slope34, __pyx_t_2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1189, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_t_2 = PyNumber_Add(__pyx_t_3, __pyx_v_s2y); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1189, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_v_y = __pyx_t_2;
    __pyx_t_2 = 0;

    /* "fontTools/misc/bezierTools.py":1190
 *         slope34 = (e2y - s2y) / (e2x - s2x)
 *         y = slope34 * (x - s2x) + s2y
 *         pt = (x, y)             # <<<<<<<<<<<<<<
 *         return [
 *             Intersection(
 */
    __pyx_t_2 = PyTuple_New(2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1190, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_INCREF(__pyx_v_x);
    __Pyx_GIVEREF(__pyx_v_x);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_v_x)) __PYX_ERR(0, 1190, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_y);
    __Pyx_GIVEREF(__pyx_v_y);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 1, __pyx_v_y)) __PYX_ERR(0, 1190, __pyx_L1_error);
    __pyx_v_pt = ((PyObject*)__pyx_t_2);
    __pyx_t_2 = 0;

    /* "fontTools/misc/bezierTools.py":1191
 *         y = slope34 * (x - s2x) + s2y
 *         pt = (x, y)
 *         return [             # <<<<<<<<<<<<<<
 *             Intersection(
 *                 pt=pt, t1=_line_t_of_pt(s1, e1, pt), t2=_line_t_of_pt(s2, e2, pt)
 */
    __Pyx_XDECREF(__pyx_r);

    /* "fontTools/misc/bezierTools.py":1192
 *         pt = (x, y)
 *         return [
 *             Intersection(             # <<<<<<<<<<<<<<
 *                 pt=pt, t1=_line_t_of_pt(s1, e1, pt), t2=_line_t_of_pt(s2, e2, pt)
 *             )
 */
    __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_Intersection); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1192, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);

    /* "fontTools/misc/bezierTools.py":1193
 *         return [
 *             Intersection(
 *                 pt=pt, t1=_line_t_of_pt(s1, e1, pt), t2=_line_t_of_pt(s2, e2, pt)             # <<<<<<<<<<<<<<
 *             )
 *         ]
 */
    __pyx_t_3 = __Pyx_PyDict_NewPresized(3); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1193, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    if (PyDict_SetItem(__pyx_t_3, __pyx_n_s_pt, __pyx_v_pt) < 0) __PYX_ERR(0, 1193, __pyx_L1_error)
    __Pyx_GetModuleGlobalName(__pyx_t_9, __pyx_n_s_line_t_of_pt); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 1193, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_9);
    __pyx_t_10 = NULL;
    __pyx_t_6 = 0;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_9))) {
      __pyx_t_10 = PyMethod_GET_SELF(__pyx_t_9);
      if (likely(__pyx_t_10)) {
        PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_9);
        __Pyx_INCREF(__pyx_t_10);
        __Pyx_INCREF(function);
        __Pyx_DECREF_SET(__pyx_t_9, function);
        __pyx_t_6 = 1;
      }
    }
    #endif
    {
      PyObject *__pyx_callargs[4] = {__pyx_t_10, __pyx_v_s1, __pyx_v_e1, __pyx_v_pt};
      __pyx_t_1 = __Pyx_PyObject_FastCall(__pyx_t_9, __pyx_callargs+1-__pyx_t_6, 3+__pyx_t_6);
      __Pyx_XDECREF(__pyx_t_10); __pyx_t_10 = 0;
      if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1193, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
    }
    if (PyDict_SetItem(__pyx_t_3, __pyx_n_s_t1, __pyx_t_1) < 0) __PYX_ERR(0, 1193, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_GetModuleGlobalName(__pyx_t_9, __pyx_n_s_line_t_of_pt); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 1193, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_9);
    __pyx_t_10 = NULL;
    __pyx_t_6 = 0;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_9))) {
      __pyx_t_10 = PyMethod_GET_SELF(__pyx_t_9);
      if (likely(__pyx_t_10)) {
        PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_9);
        __Pyx_INCREF(__pyx_t_10);
        __Pyx_INCREF(function);
        __Pyx_DECREF_SET(__pyx_t_9, function);
        __pyx_t_6 = 1;
      }
    }
    #endif
    {
      PyObject *__pyx_callargs[4] = {__pyx_t_10, __pyx_v_s2, __pyx_v_e2, __pyx_v_pt};
      __pyx_t_1 = __Pyx_PyObject_FastCall(__pyx_t_9, __pyx_callargs+1-__pyx_t_6, 3+__pyx_t_6);
      __Pyx_XDECREF(__pyx_t_10); __pyx_t_10 = 0;
      if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1193, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
    }
    if (PyDict_SetItem(__pyx_t_3, __pyx_n_s_t2, __pyx_t_1) < 0) __PYX_ERR(0, 1193, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;

    /* "fontTools/misc/bezierTools.py":1192
 *         pt = (x, y)
 *         return [
 *             Intersection(             # <<<<<<<<<<<<<<
 *                 pt=pt, t1=_line_t_of_pt(s1, e1, pt), t2=_line_t_of_pt(s2, e2, pt)
 *             )
 */
    __pyx_t_1 = __Pyx_PyObject_Call(__pyx_t_2, __pyx_empty_tuple, __pyx_t_3); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1192, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

    /* "fontTools/misc/bezierTools.py":1191
 *         y = slope34 * (x - s2x) + s2y
 *         pt = (x, y)
 *         return [             # <<<<<<<<<<<<<<
 *             Intersection(
 *                 pt=pt, t1=_line_t_of_pt(s1, e1, pt), t2=_line_t_of_pt(s2, e2, pt)
 */
    __pyx_t_3 = PyList_New(1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1191, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_GIVEREF(__pyx_t_1);
    if (__Pyx_PyList_SET_ITEM(__pyx_t_3, 0, __pyx_t_1)) __PYX_ERR(0, 1191, __pyx_L1_error);
    __pyx_t_1 = 0;
    __pyx_r = __pyx_t_3;
    __pyx_t_3 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":1186
 *     if math.isclose(s1x, e1x) and math.isclose(s1y, e1y):  # Line segment is tiny
 *         return []
 *     if math.isclose(e1x, s1x):             # <<<<<<<<<<<<<<
 *         x = s1x
 *         slope34 = (e2y - s2y) / (e2x - s2x)
 */
  }

  /* "fontTools/misc/bezierTools.py":1196
 *             )
 *         ]
 *     if math.isclose(s2x, e2x):             # <<<<<<<<<<<<<<
 *         x = s2x
 *         slope12 = (e1y - s1y) / (e1x - s1x)
 */
  __Pyx_GetModuleGlobalName(__pyx_t_1, __pyx_n_s_math); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1196, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __Pyx_PyObject_GetAttrStr(__pyx_t_1, __pyx_n_s_isclose); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1196, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = NULL;
  __pyx_t_6 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_2))) {
    __pyx_t_1 = PyMethod_GET_SELF(__pyx_t_2);
    if (likely(__pyx_t_1)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_2);
      __Pyx_INCREF(__pyx_t_1);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_2, function);
      __pyx_t_6 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[3] = {__pyx_t_1, __pyx_v_s2x, __pyx_v_e2x};
    __pyx_t_3 = __Pyx_PyObject_FastCall(__pyx_t_2, __pyx_callargs+1-__pyx_t_6, 2+__pyx_t_6);
    __Pyx_XDECREF(__pyx_t_1); __pyx_t_1 = 0;
    if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1196, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  }
  __pyx_t_5 = __Pyx_PyObject_IsTrue(__pyx_t_3); if (unlikely((__pyx_t_5 < 0))) __PYX_ERR(0, 1196, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  if (__pyx_t_5) {

    /* "fontTools/misc/bezierTools.py":1197
 *         ]
 *     if math.isclose(s2x, e2x):
 *         x = s2x             # <<<<<<<<<<<<<<
 *         slope12 = (e1y - s1y) / (e1x - s1x)
 *         y = slope12 * (x - s1x) + s1y
 */
    __Pyx_INCREF(__pyx_v_s2x);
    __pyx_v_x = __pyx_v_s2x;

    /* "fontTools/misc/bezierTools.py":1198
 *     if math.isclose(s2x, e2x):
 *         x = s2x
 *         slope12 = (e1y - s1y) / (e1x - s1x)             # <<<<<<<<<<<<<<
 *         y = slope12 * (x - s1x) + s1y
 *         pt = (x, y)
 */
    __pyx_t_3 = PyNumber_Subtract(__pyx_v_e1y, __pyx_v_s1y); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1198, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_2 = PyNumber_Subtract(__pyx_v_e1x, __pyx_v_s1x); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1198, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = __Pyx_PyNumber_Divide(__pyx_t_3, __pyx_t_2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1198, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_v_slope12 = __pyx_t_1;
    __pyx_t_1 = 0;

    /* "fontTools/misc/bezierTools.py":1199
 *         x = s2x
 *         slope12 = (e1y - s1y) / (e1x - s1x)
 *         y = slope12 * (x - s1x) + s1y             # <<<<<<<<<<<<<<
 *         pt = (x, y)
 *         return [
 */
    __pyx_t_1 = PyNumber_Subtract(__pyx_v_x, __pyx_v_s1x); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1199, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = PyNumber_Multiply(__pyx_v_slope12, __pyx_t_1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1199, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_1 = PyNumber_Add(__pyx_t_2, __pyx_v_s1y); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1199, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_v_y = __pyx_t_1;
    __pyx_t_1 = 0;

    /* "fontTools/misc/bezierTools.py":1200
 *         slope12 = (e1y - s1y) / (e1x - s1x)
 *         y = slope12 * (x - s1x) + s1y
 *         pt = (x, y)             # <<<<<<<<<<<<<<
 *         return [
 *             Intersection(
 */
    __pyx_t_1 = PyTuple_New(2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1200, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_INCREF(__pyx_v_x);
    __Pyx_GIVEREF(__pyx_v_x);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_v_x)) __PYX_ERR(0, 1200, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_y);
    __Pyx_GIVEREF(__pyx_v_y);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_v_y)) __PYX_ERR(0, 1200, __pyx_L1_error);
    __pyx_v_pt = ((PyObject*)__pyx_t_1);
    __pyx_t_1 = 0;

    /* "fontTools/misc/bezierTools.py":1201
 *         y = slope12 * (x - s1x) + s1y
 *         pt = (x, y)
 *         return [             # <<<<<<<<<<<<<<
 *             Intersection(
 *                 pt=pt, t1=_line_t_of_pt(s1, e1, pt), t2=_line_t_of_pt(s2, e2, pt)
 */
    __Pyx_XDECREF(__pyx_r);

    /* "fontTools/misc/bezierTools.py":1202
 *         pt = (x, y)
 *         return [
 *             Intersection(             # <<<<<<<<<<<<<<
 *                 pt=pt, t1=_line_t_of_pt(s1, e1, pt), t2=_line_t_of_pt(s2, e2, pt)
 *             )
 */
    __Pyx_GetModuleGlobalName(__pyx_t_1, __pyx_n_s_Intersection); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1202, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);

    /* "fontTools/misc/bezierTools.py":1203
 *         return [
 *             Intersection(
 *                 pt=pt, t1=_line_t_of_pt(s1, e1, pt), t2=_line_t_of_pt(s2, e2, pt)             # <<<<<<<<<<<<<<
 *             )
 *         ]
 */
    __pyx_t_2 = __Pyx_PyDict_NewPresized(3); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1203, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    if (PyDict_SetItem(__pyx_t_2, __pyx_n_s_pt, __pyx_v_pt) < 0) __PYX_ERR(0, 1203, __pyx_L1_error)
    __Pyx_GetModuleGlobalName(__pyx_t_9, __pyx_n_s_line_t_of_pt); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 1203, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_9);
    __pyx_t_10 = NULL;
    __pyx_t_6 = 0;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_9))) {
      __pyx_t_10 = PyMethod_GET_SELF(__pyx_t_9);
      if (likely(__pyx_t_10)) {
        PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_9);
        __Pyx_INCREF(__pyx_t_10);
        __Pyx_INCREF(function);
        __Pyx_DECREF_SET(__pyx_t_9, function);
        __pyx_t_6 = 1;
      }
    }
    #endif
    {
      PyObject *__pyx_callargs[4] = {__pyx_t_10, __pyx_v_s1, __pyx_v_e1, __pyx_v_pt};
      __pyx_t_3 = __Pyx_PyObject_FastCall(__pyx_t_9, __pyx_callargs+1-__pyx_t_6, 3+__pyx_t_6);
      __Pyx_XDECREF(__pyx_t_10); __pyx_t_10 = 0;
      if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1203, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
      __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
    }
    if (PyDict_SetItem(__pyx_t_2, __pyx_n_s_t1, __pyx_t_3) < 0) __PYX_ERR(0, 1203, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_GetModuleGlobalName(__pyx_t_9, __pyx_n_s_line_t_of_pt); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 1203, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_9);
    __pyx_t_10 = NULL;
    __pyx_t_6 = 0;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_9))) {
      __pyx_t_10 = PyMethod_GET_SELF(__pyx_t_9);
      if (likely(__pyx_t_10)) {
        PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_9);
        __Pyx_INCREF(__pyx_t_10);
        __Pyx_INCREF(function);
        __Pyx_DECREF_SET(__pyx_t_9, function);
        __pyx_t_6 = 1;
      }
    }
    #endif
    {
      PyObject *__pyx_callargs[4] = {__pyx_t_10, __pyx_v_s2, __pyx_v_e2, __pyx_v_pt};
      __pyx_t_3 = __Pyx_PyObject_FastCall(__pyx_t_9, __pyx_callargs+1-__pyx_t_6, 3+__pyx_t_6);
      __Pyx_XDECREF(__pyx_t_10); __pyx_t_10 = 0;
      if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1203, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
      __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
    }
    if (PyDict_SetItem(__pyx_t_2, __pyx_n_s_t2, __pyx_t_3) < 0) __PYX_ERR(0, 1203, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

    /* "fontTools/misc/bezierTools.py":1202
 *         pt = (x, y)
 *         return [
 *             Intersection(             # <<<<<<<<<<<<<<
 *                 pt=pt, t1=_line_t_of_pt(s1, e1, pt), t2=_line_t_of_pt(s2, e2, pt)
 *             )
 */
    __pyx_t_3 = __Pyx_PyObject_Call(__pyx_t_1, __pyx_empty_tuple, __pyx_t_2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1202, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

    /* "fontTools/misc/bezierTools.py":1201
 *         y = slope12 * (x - s1x) + s1y
 *         pt = (x, y)
 *         return [             # <<<<<<<<<<<<<<
 *             Intersection(
 *                 pt=pt, t1=_line_t_of_pt(s1, e1, pt), t2=_line_t_of_pt(s2, e2, pt)
 */
    __pyx_t_2 = PyList_New(1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1201, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_GIVEREF(__pyx_t_3);
    if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 0, __pyx_t_3)) __PYX_ERR(0, 1201, __pyx_L1_error);
    __pyx_t_3 = 0;
    __pyx_r = __pyx_t_2;
    __pyx_t_2 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":1196
 *             )
 *         ]
 *     if math.isclose(s2x, e2x):             # <<<<<<<<<<<<<<
 *         x = s2x
 *         slope12 = (e1y - s1y) / (e1x - s1x)
 */
  }

  /* "fontTools/misc/bezierTools.py":1207
 *         ]
 * 
 *     slope12 = (e1y - s1y) / (e1x - s1x)             # <<<<<<<<<<<<<<
 *     slope34 = (e2y - s2y) / (e2x - s2x)
 *     if math.isclose(slope12, slope34):
 */
  __pyx_t_2 = PyNumber_Subtract(__pyx_v_e1y, __pyx_v_s1y); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1207, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = PyNumber_Subtract(__pyx_v_e1x, __pyx_v_s1x); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1207, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_1 = __Pyx_PyNumber_Divide(__pyx_t_2, __pyx_t_3); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1207, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_v_slope12 = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1208
 * 
 *     slope12 = (e1y - s1y) / (e1x - s1x)
 *     slope34 = (e2y - s2y) / (e2x - s2x)             # <<<<<<<<<<<<<<
 *     if math.isclose(slope12, slope34):
 *         return []
 */
  __pyx_t_1 = PyNumber_Subtract(__pyx_v_e2y, __pyx_v_s2y); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1208, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_3 = PyNumber_Subtract(__pyx_v_e2x, __pyx_v_s2x); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1208, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_2 = __Pyx_PyNumber_Divide(__pyx_t_1, __pyx_t_3); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1208, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_v_slope34 = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1209
 *     slope12 = (e1y - s1y) / (e1x - s1x)
 *     slope34 = (e2y - s2y) / (e2x - s2x)
 *     if math.isclose(slope12, slope34):             # <<<<<<<<<<<<<<
 *         return []
 *     x = (slope12 * s1x - s1y - slope34 * s2x + s2y) / (slope12 - slope34)
 */
  __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_math); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1209, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_1 = __Pyx_PyObject_GetAttrStr(__pyx_t_3, __pyx_n_s_isclose); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1209, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = NULL;
  __pyx_t_6 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_1))) {
    __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_1);
    if (likely(__pyx_t_3)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_1);
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_1, function);
      __pyx_t_6 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[3] = {__pyx_t_3, __pyx_v_slope12, __pyx_v_slope34};
    __pyx_t_2 = __Pyx_PyObject_FastCall(__pyx_t_1, __pyx_callargs+1-__pyx_t_6, 2+__pyx_t_6);
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1209, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  }
  __pyx_t_5 = __Pyx_PyObject_IsTrue(__pyx_t_2); if (unlikely((__pyx_t_5 < 0))) __PYX_ERR(0, 1209, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  if (__pyx_t_5) {

    /* "fontTools/misc/bezierTools.py":1210
 *     slope34 = (e2y - s2y) / (e2x - s2x)
 *     if math.isclose(slope12, slope34):
 *         return []             # <<<<<<<<<<<<<<
 *     x = (slope12 * s1x - s1y - slope34 * s2x + s2y) / (slope12 - slope34)
 *     y = slope12 * (x - s1x) + s1y
 */
    __Pyx_XDECREF(__pyx_r);
    __pyx_t_2 = PyList_New(0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1210, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_r = __pyx_t_2;
    __pyx_t_2 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":1209
 *     slope12 = (e1y - s1y) / (e1x - s1x)
 *     slope34 = (e2y - s2y) / (e2x - s2x)
 *     if math.isclose(slope12, slope34):             # <<<<<<<<<<<<<<
 *         return []
 *     x = (slope12 * s1x - s1y - slope34 * s2x + s2y) / (slope12 - slope34)
 */
  }

  /* "fontTools/misc/bezierTools.py":1211
 *     if math.isclose(slope12, slope34):
 *         return []
 *     x = (slope12 * s1x - s1y - slope34 * s2x + s2y) / (slope12 - slope34)             # <<<<<<<<<<<<<<
 *     y = slope12 * (x - s1x) + s1y
 *     pt = (x, y)
 */
  __pyx_t_2 = PyNumber_Multiply(__pyx_v_slope12, __pyx_v_s1x); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1211, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_1 = PyNumber_Subtract(__pyx_t_2, __pyx_v_s1y); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1211, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = PyNumber_Multiply(__pyx_v_slope34, __pyx_v_s2x); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1211, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = PyNumber_Subtract(__pyx_t_1, __pyx_t_2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1211, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = PyNumber_Add(__pyx_t_3, __pyx_v_s2y); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1211, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = PyNumber_Subtract(__pyx_v_slope12, __pyx_v_slope34); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1211, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_1 = __Pyx_PyNumber_Divide(__pyx_t_2, __pyx_t_3); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1211, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_v_x = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1212
 *         return []
 *     x = (slope12 * s1x - s1y - slope34 * s2x + s2y) / (slope12 - slope34)
 *     y = slope12 * (x - s1x) + s1y             # <<<<<<<<<<<<<<
 *     pt = (x, y)
 *     if _both_points_are_on_same_side_of_origin(
 */
  __pyx_t_1 = PyNumber_Subtract(__pyx_v_x, __pyx_v_s1x); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1212, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_3 = PyNumber_Multiply(__pyx_v_slope12, __pyx_t_1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1212, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyNumber_Add(__pyx_t_3, __pyx_v_s1y); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1212, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_v_y = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1213
 *     x = (slope12 * s1x - s1y - slope34 * s2x + s2y) / (slope12 - slope34)
 *     y = slope12 * (x - s1x) + s1y
 *     pt = (x, y)             # <<<<<<<<<<<<<<
 *     if _both_points_are_on_same_side_of_origin(
 *         pt, e1, s1
 */
  __pyx_t_1 = PyTuple_New(2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1213, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_INCREF(__pyx_v_x);
  __Pyx_GIVEREF(__pyx_v_x);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_v_x)) __PYX_ERR(0, 1213, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_y);
  __Pyx_GIVEREF(__pyx_v_y);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_v_y)) __PYX_ERR(0, 1213, __pyx_L1_error);
  __pyx_v_pt = ((PyObject*)__pyx_t_1);
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1214
 *     y = slope12 * (x - s1x) + s1y
 *     pt = (x, y)
 *     if _both_points_are_on_same_side_of_origin(             # <<<<<<<<<<<<<<
 *         pt, e1, s1
 *     ) and _both_points_are_on_same_side_of_origin(pt, s2, e2):
 */
  __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_both_points_are_on_same_side_of); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1214, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);

  /* "fontTools/misc/bezierTools.py":1215
 *     pt = (x, y)
 *     if _both_points_are_on_same_side_of_origin(
 *         pt, e1, s1             # <<<<<<<<<<<<<<
 *     ) and _both_points_are_on_same_side_of_origin(pt, s2, e2):
 *         return [
 */
  __pyx_t_2 = NULL;
  __pyx_t_6 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_3))) {
    __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_3);
    if (likely(__pyx_t_2)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_3);
      __Pyx_INCREF(__pyx_t_2);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_3, function);
      __pyx_t_6 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[4] = {__pyx_t_2, __pyx_v_pt, __pyx_v_e1, __pyx_v_s1};
    __pyx_t_1 = __Pyx_PyObject_FastCall(__pyx_t_3, __pyx_callargs+1-__pyx_t_6, 3+__pyx_t_6);
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1214, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  }

  /* "fontTools/misc/bezierTools.py":1214
 *     y = slope12 * (x - s1x) + s1y
 *     pt = (x, y)
 *     if _both_points_are_on_same_side_of_origin(             # <<<<<<<<<<<<<<
 *         pt, e1, s1
 *     ) and _both_points_are_on_same_side_of_origin(pt, s2, e2):
 */
  __pyx_t_7 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely((__pyx_t_7 < 0))) __PYX_ERR(0, 1214, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  if (__pyx_t_7) {
  } else {
    __pyx_t_5 = __pyx_t_7;
    goto __pyx_L29_bool_binop_done;
  }

  /* "fontTools/misc/bezierTools.py":1216
 *     if _both_points_are_on_same_side_of_origin(
 *         pt, e1, s1
 *     ) and _both_points_are_on_same_side_of_origin(pt, s2, e2):             # <<<<<<<<<<<<<<
 *         return [
 *             Intersection(
 */
  __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_both_points_are_on_same_side_of); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1216, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_2 = NULL;
  __pyx_t_6 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_3))) {
    __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_3);
    if (likely(__pyx_t_2)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_3);
      __Pyx_INCREF(__pyx_t_2);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_3, function);
      __pyx_t_6 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[4] = {__pyx_t_2, __pyx_v_pt, __pyx_v_s2, __pyx_v_e2};
    __pyx_t_1 = __Pyx_PyObject_FastCall(__pyx_t_3, __pyx_callargs+1-__pyx_t_6, 3+__pyx_t_6);
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1216, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  }
  __pyx_t_7 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely((__pyx_t_7 < 0))) __PYX_ERR(0, 1216, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_5 = __pyx_t_7;
  __pyx_L29_bool_binop_done:;

  /* "fontTools/misc/bezierTools.py":1214
 *     y = slope12 * (x - s1x) + s1y
 *     pt = (x, y)
 *     if _both_points_are_on_same_side_of_origin(             # <<<<<<<<<<<<<<
 *         pt, e1, s1
 *     ) and _both_points_are_on_same_side_of_origin(pt, s2, e2):
 */
  if (__pyx_t_5) {

    /* "fontTools/misc/bezierTools.py":1217
 *         pt, e1, s1
 *     ) and _both_points_are_on_same_side_of_origin(pt, s2, e2):
 *         return [             # <<<<<<<<<<<<<<
 *             Intersection(
 *                 pt=pt, t1=_line_t_of_pt(s1, e1, pt), t2=_line_t_of_pt(s2, e2, pt)
 */
    __Pyx_XDECREF(__pyx_r);

    /* "fontTools/misc/bezierTools.py":1218
 *     ) and _both_points_are_on_same_side_of_origin(pt, s2, e2):
 *         return [
 *             Intersection(             # <<<<<<<<<<<<<<
 *                 pt=pt, t1=_line_t_of_pt(s1, e1, pt), t2=_line_t_of_pt(s2, e2, pt)
 *             )
 */
    __Pyx_GetModuleGlobalName(__pyx_t_1, __pyx_n_s_Intersection); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1218, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);

    /* "fontTools/misc/bezierTools.py":1219
 *         return [
 *             Intersection(
 *                 pt=pt, t1=_line_t_of_pt(s1, e1, pt), t2=_line_t_of_pt(s2, e2, pt)             # <<<<<<<<<<<<<<
 *             )
 *         ]
 */
    __pyx_t_3 = __Pyx_PyDict_NewPresized(3); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1219, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    if (PyDict_SetItem(__pyx_t_3, __pyx_n_s_pt, __pyx_v_pt) < 0) __PYX_ERR(0, 1219, __pyx_L1_error)
    __Pyx_GetModuleGlobalName(__pyx_t_9, __pyx_n_s_line_t_of_pt); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 1219, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_9);
    __pyx_t_10 = NULL;
    __pyx_t_6 = 0;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_9))) {
      __pyx_t_10 = PyMethod_GET_SELF(__pyx_t_9);
      if (likely(__pyx_t_10)) {
        PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_9);
        __Pyx_INCREF(__pyx_t_10);
        __Pyx_INCREF(function);
        __Pyx_DECREF_SET(__pyx_t_9, function);
        __pyx_t_6 = 1;
      }
    }
    #endif
    {
      PyObject *__pyx_callargs[4] = {__pyx_t_10, __pyx_v_s1, __pyx_v_e1, __pyx_v_pt};
      __pyx_t_2 = __Pyx_PyObject_FastCall(__pyx_t_9, __pyx_callargs+1-__pyx_t_6, 3+__pyx_t_6);
      __Pyx_XDECREF(__pyx_t_10); __pyx_t_10 = 0;
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1219, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_2);
      __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
    }
    if (PyDict_SetItem(__pyx_t_3, __pyx_n_s_t1, __pyx_t_2) < 0) __PYX_ERR(0, 1219, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_GetModuleGlobalName(__pyx_t_9, __pyx_n_s_line_t_of_pt); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 1219, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_9);
    __pyx_t_10 = NULL;
    __pyx_t_6 = 0;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_9))) {
      __pyx_t_10 = PyMethod_GET_SELF(__pyx_t_9);
      if (likely(__pyx_t_10)) {
        PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_9);
        __Pyx_INCREF(__pyx_t_10);
        __Pyx_INCREF(function);
        __Pyx_DECREF_SET(__pyx_t_9, function);
        __pyx_t_6 = 1;
      }
    }
    #endif
    {
      PyObject *__pyx_callargs[4] = {__pyx_t_10, __pyx_v_s2, __pyx_v_e2, __pyx_v_pt};
      __pyx_t_2 = __Pyx_PyObject_FastCall(__pyx_t_9, __pyx_callargs+1-__pyx_t_6, 3+__pyx_t_6);
      __Pyx_XDECREF(__pyx_t_10); __pyx_t_10 = 0;
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1219, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_2);
      __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
    }
    if (PyDict_SetItem(__pyx_t_3, __pyx_n_s_t2, __pyx_t_2) < 0) __PYX_ERR(0, 1219, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

    /* "fontTools/misc/bezierTools.py":1218
 *     ) and _both_points_are_on_same_side_of_origin(pt, s2, e2):
 *         return [
 *             Intersection(             # <<<<<<<<<<<<<<
 *                 pt=pt, t1=_line_t_of_pt(s1, e1, pt), t2=_line_t_of_pt(s2, e2, pt)
 *             )
 */
    __pyx_t_2 = __Pyx_PyObject_Call(__pyx_t_1, __pyx_empty_tuple, __pyx_t_3); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1218, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

    /* "fontTools/misc/bezierTools.py":1217
 *         pt, e1, s1
 *     ) and _both_points_are_on_same_side_of_origin(pt, s2, e2):
 *         return [             # <<<<<<<<<<<<<<
 *             Intersection(
 *                 pt=pt, t1=_line_t_of_pt(s1, e1, pt), t2=_line_t_of_pt(s2, e2, pt)
 */
    __pyx_t_3 = PyList_New(1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1217, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_GIVEREF(__pyx_t_2);
    if (__Pyx_PyList_SET_ITEM(__pyx_t_3, 0, __pyx_t_2)) __PYX_ERR(0, 1217, __pyx_L1_error);
    __pyx_t_2 = 0;
    __pyx_r = __pyx_t_3;
    __pyx_t_3 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":1214
 *     y = slope12 * (x - s1x) + s1y
 *     pt = (x, y)
 *     if _both_points_are_on_same_side_of_origin(             # <<<<<<<<<<<<<<
 *         pt, e1, s1
 *     ) and _both_points_are_on_same_side_of_origin(pt, s2, e2):
 */
  }

  /* "fontTools/misc/bezierTools.py":1222
 *             )
 *         ]
 *     return []             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_3 = PyList_New(0); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1222, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_r = __pyx_t_3;
  __pyx_t_3 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":1147
 * 
 * 
 * def lineLineIntersections(s1, e1, s2, e2):             # <<<<<<<<<<<<<<
 *     """Finds intersections between two line segments.
 * 
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_9);
  __Pyx_XDECREF(__pyx_t_10);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.lineLineIntersections", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_s1x);
  __Pyx_XDECREF(__pyx_v_s1y);
  __Pyx_XDECREF(__pyx_v_e1x);
  __Pyx_XDECREF(__pyx_v_e1y);
  __Pyx_XDECREF(__pyx_v_s2x);
  __Pyx_XDECREF(__pyx_v_s2y);
  __Pyx_XDECREF(__pyx_v_e2x);
  __Pyx_XDECREF(__pyx_v_e2y);
  __Pyx_XDECREF(__pyx_v_x);
  __Pyx_XDECREF(__pyx_v_slope34);
  __Pyx_XDECREF(__pyx_v_y);
  __Pyx_XDECREF(__pyx_v_pt);
  __Pyx_XDECREF(__pyx_v_slope12);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1225
 * 
 * 
 * def _alignment_transformation(segment):             # <<<<<<<<<<<<<<
 *     # Returns a transformation which aligns a segment horizontally at the
 *     # origin. Apply this transformation to curves and root-find to find
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_75_alignment_transformation(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_74_alignment_transformation, "_alignment_transformation(segment)");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_75_alignment_transformation = {"_alignment_transformation", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_75_alignment_transformation, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_74_alignment_transformation};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_75_alignment_transformation(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_segment = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[1] = {0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("_alignment_transformation (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_segment,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_segment)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1225, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "_alignment_transformation") < 0)) __PYX_ERR(0, 1225, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs != 1)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
    }
    __pyx_v_segment = values[0];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("_alignment_transformation", 1, 1, 1, __pyx_nargs); __PYX_ERR(0, 1225, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools._alignment_transformation", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_74_alignment_transformation(__pyx_self, __pyx_v_segment);

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_74_alignment_transformation(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_segment) {
  PyObject *__pyx_v_start = NULL;
  PyObject *__pyx_v_end = NULL;
  PyObject *__pyx_v_angle = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  PyObject *__pyx_t_6 = NULL;
  int __pyx_t_7;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("_alignment_transformation", 1);

  /* "fontTools/misc/bezierTools.py":1229
 *     # origin. Apply this transformation to curves and root-find to find
 *     # intersections with the segment.
 *     start = segment[0]             # <<<<<<<<<<<<<<
 *     end = segment[-1]
 *     angle = math.atan2(end[1] - start[1], end[0] - start[0])
 */
  __pyx_t_1 = __Pyx_GetItemInt(__pyx_v_segment, 0, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1229, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_v_start = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1230
 *     # intersections with the segment.
 *     start = segment[0]
 *     end = segment[-1]             # <<<<<<<<<<<<<<
 *     angle = math.atan2(end[1] - start[1], end[0] - start[0])
 *     return Identity.rotate(-angle).translate(-start[0], -start[1])
 */
  __pyx_t_1 = __Pyx_GetItemInt(__pyx_v_segment, -1L, long, 1, __Pyx_PyInt_From_long, 0, 1, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1230, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_v_end = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1231
 *     start = segment[0]
 *     end = segment[-1]
 *     angle = math.atan2(end[1] - start[1], end[0] - start[0])             # <<<<<<<<<<<<<<
 *     return Identity.rotate(-angle).translate(-start[0], -start[1])
 * 
 */
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_math); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1231, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = __Pyx_PyObject_GetAttrStr(__pyx_t_2, __pyx_n_s_atan2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1231, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = __Pyx_GetItemInt(__pyx_v_end, 1, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1231, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_4 = __Pyx_GetItemInt(__pyx_v_start, 1, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1231, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_5 = PyNumber_Subtract(__pyx_t_2, __pyx_t_4); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1231, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_t_4 = __Pyx_GetItemInt(__pyx_v_end, 0, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1231, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_2 = __Pyx_GetItemInt(__pyx_v_start, 0, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1231, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_6 = PyNumber_Subtract(__pyx_t_4, __pyx_t_2); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1231, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = NULL;
  __pyx_t_7 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_3))) {
    __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_3);
    if (likely(__pyx_t_2)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_3);
      __Pyx_INCREF(__pyx_t_2);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_3, function);
      __pyx_t_7 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[3] = {__pyx_t_2, __pyx_t_5, __pyx_t_6};
    __pyx_t_1 = __Pyx_PyObject_FastCall(__pyx_t_3, __pyx_callargs+1-__pyx_t_7, 2+__pyx_t_7);
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1231, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  }
  __pyx_v_angle = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1232
 *     end = segment[-1]
 *     angle = math.atan2(end[1] - start[1], end[0] - start[0])
 *     return Identity.rotate(-angle).translate(-start[0], -start[1])             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __Pyx_XDECREF(__pyx_r);
  __Pyx_GetModuleGlobalName(__pyx_t_6, __pyx_n_s_Identity); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1232, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __pyx_t_5 = __Pyx_PyObject_GetAttrStr(__pyx_t_6, __pyx_n_s_rotate); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1232, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
  __pyx_t_6 = PyNumber_Negative(__pyx_v_angle); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1232, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __pyx_t_2 = NULL;
  __pyx_t_7 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_5))) {
    __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_5);
    if (likely(__pyx_t_2)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_5);
      __Pyx_INCREF(__pyx_t_2);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_5, function);
      __pyx_t_7 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[2] = {__pyx_t_2, __pyx_t_6};
    __pyx_t_3 = __Pyx_PyObject_FastCall(__pyx_t_5, __pyx_callargs+1-__pyx_t_7, 1+__pyx_t_7);
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1232, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  }
  __pyx_t_5 = __Pyx_PyObject_GetAttrStr(__pyx_t_3, __pyx_n_s_translate); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1232, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = __Pyx_GetItemInt(__pyx_v_start, 0, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1232, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_6 = PyNumber_Negative(__pyx_t_3); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1232, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = __Pyx_GetItemInt(__pyx_v_start, 1, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1232, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_2 = PyNumber_Negative(__pyx_t_3); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1232, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = NULL;
  __pyx_t_7 = 0;
  #if CYTHON_UNPACK_METHODS
  if (likely(PyMethod_Check(__pyx_t_5))) {
    __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_5);
    if (likely(__pyx_t_3)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_5);
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_5, function);
      __pyx_t_7 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[3] = {__pyx_t_3, __pyx_t_6, __pyx_t_2};
    __pyx_t_1 = __Pyx_PyObject_FastCall(__pyx_t_5, __pyx_callargs+1-__pyx_t_7, 2+__pyx_t_7);
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1232, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  }
  __pyx_r = __pyx_t_1;
  __pyx_t_1 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":1225
 * 
 * 
 * def _alignment_transformation(segment):             # <<<<<<<<<<<<<<
 *     # Returns a transformation which aligns a segment horizontally at the
 *     # origin. Apply this transformation to curves and root-find to find
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_AddTraceback("fontTools.misc.bezierTools._alignment_transformation", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_start);
  __Pyx_XDECREF(__pyx_v_end);
  __Pyx_XDECREF(__pyx_v_angle);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1235
 * 
 * 
 * def _curve_line_intersections_t(curve, line):             # <<<<<<<<<<<<<<
 *     aligned_curve = _alignment_transformation(line).transformPoints(curve)
 *     if len(curve) == 3:
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_77_curve_line_intersections_t(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_76_curve_line_intersections_t, "_curve_line_intersections_t(curve, line)");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_77_curve_line_intersections_t = {"_curve_line_intersections_t", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_77_curve_line_intersections_t, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_76_curve_line_intersections_t};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_77_curve_line_intersections_t(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_curve = 0;
  PyObject *__pyx_v_line = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[2] = {0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("_curve_line_intersections_t (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_curve,&__pyx_n_s_line,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_curve)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1235, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_line)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[1]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1235, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("_curve_line_intersections_t", 1, 2, 2, 1); __PYX_ERR(0, 1235, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "_curve_line_intersections_t") < 0)) __PYX_ERR(0, 1235, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs != 2)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
      values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
    }
    __pyx_v_curve = values[0];
    __pyx_v_line = values[1];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("_curve_line_intersections_t", 1, 2, 2, __pyx_nargs); __PYX_ERR(0, 1235, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools._curve_line_intersections_t", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_76_curve_line_intersections_t(__pyx_self, __pyx_v_curve, __pyx_v_line);

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}
static PyObject *__pyx_gb_9fontTools_4misc_11bezierTools_27_curve_line_intersections_t_2generator4(__pyx_CoroutineObject *__pyx_generator, CYTHON_UNUSED PyThreadState *__pyx_tstate, PyObject *__pyx_sent_value); /* proto */

/* "fontTools/misc/bezierTools.py":1245
 *     else:
 *         raise ValueError("Unknown curve degree")
 *     return sorted(i for i in intersections if 0.0 <= i <= 1)             # <<<<<<<<<<<<<<
 * 
 * 
 */

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_27_curve_line_intersections_t_genexpr(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_genexpr_arg_0) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr *__pyx_cur_scope;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("genexpr", 0);
  __pyx_cur_scope = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr *)__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr(__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr, __pyx_empty_tuple, NULL);
  if (unlikely(!__pyx_cur_scope)) {
    __pyx_cur_scope = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr *)Py_None);
    __Pyx_INCREF(Py_None);
    __PYX_ERR(0, 1245, __pyx_L1_error)
  } else {
    __Pyx_GOTREF((PyObject *)__pyx_cur_scope);
  }
  __pyx_cur_scope->__pyx_genexpr_arg_0 = __pyx_genexpr_arg_0;
  __Pyx_INCREF(__pyx_cur_scope->__pyx_genexpr_arg_0);
  __Pyx_GIVEREF(__pyx_cur_scope->__pyx_genexpr_arg_0);
  {
    __pyx_CoroutineObject *gen = __Pyx_Generator_New((__pyx_coroutine_body_t) __pyx_gb_9fontTools_4misc_11bezierTools_27_curve_line_intersections_t_2generator4, NULL, (PyObject *) __pyx_cur_scope, __pyx_n_s_genexpr, __pyx_n_s_curve_line_intersections_t_loca, __pyx_n_s_fontTools_misc_bezierTools); if (unlikely(!gen)) __PYX_ERR(0, 1245, __pyx_L1_error)
    __Pyx_DECREF(__pyx_cur_scope);
    __Pyx_RefNannyFinishContext();
    return (PyObject *) gen;
  }

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_AddTraceback("fontTools.misc.bezierTools._curve_line_intersections_t.genexpr", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __Pyx_DECREF((PyObject *)__pyx_cur_scope);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_gb_9fontTools_4misc_11bezierTools_27_curve_line_intersections_t_2generator4(__pyx_CoroutineObject *__pyx_generator, CYTHON_UNUSED PyThreadState *__pyx_tstate, PyObject *__pyx_sent_value) /* generator body */
{
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr *__pyx_cur_scope = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr *)__pyx_generator->closure);
  PyObject *__pyx_r = NULL;
  PyObject *__pyx_t_1 = NULL;
  Py_ssize_t __pyx_t_2;
  PyObject *(*__pyx_t_3)(PyObject *);
  PyObject *__pyx_t_4 = NULL;
  int __pyx_t_5;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("genexpr", 0);
  switch (__pyx_generator->resume_label) {
    case 0: goto __pyx_L3_first_run;
    default: /* CPython raises the right error here */
    __Pyx_RefNannyFinishContext();
    return NULL;
  }
  __pyx_L3_first_run:;
  if (unlikely(!__pyx_sent_value)) __PYX_ERR(0, 1245, __pyx_L1_error)
  __pyx_r = PyList_New(0); if (unlikely(!__pyx_r)) __PYX_ERR(0, 1245, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_r);
  if (unlikely(!__pyx_cur_scope->__pyx_genexpr_arg_0)) { __Pyx_RaiseUnboundLocalError(".0"); __PYX_ERR(0, 1245, __pyx_L1_error) }
  if (likely(PyList_CheckExact(__pyx_cur_scope->__pyx_genexpr_arg_0)) || PyTuple_CheckExact(__pyx_cur_scope->__pyx_genexpr_arg_0)) {
    __pyx_t_1 = __pyx_cur_scope->__pyx_genexpr_arg_0; __Pyx_INCREF(__pyx_t_1);
    __pyx_t_2 = 0;
    __pyx_t_3 = NULL;
  } else {
    __pyx_t_2 = -1; __pyx_t_1 = PyObject_GetIter(__pyx_cur_scope->__pyx_genexpr_arg_0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1245, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_3 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1245, __pyx_L1_error)
  }
  for (;;) {
    if (likely(!__pyx_t_3)) {
      if (likely(PyList_CheckExact(__pyx_t_1))) {
        {
          Py_ssize_t __pyx_temp = __Pyx_PyList_GET_SIZE(__pyx_t_1);
          #if !CYTHON_ASSUME_SAFE_MACROS
          if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 1245, __pyx_L1_error)
          #endif
          if (__pyx_t_2 >= __pyx_temp) break;
        }
        #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
        __pyx_t_4 = PyList_GET_ITEM(__pyx_t_1, __pyx_t_2); __Pyx_INCREF(__pyx_t_4); __pyx_t_2++; if (unlikely((0 < 0))) __PYX_ERR(0, 1245, __pyx_L1_error)
        #else
        __pyx_t_4 = __Pyx_PySequence_ITEM(__pyx_t_1, __pyx_t_2); __pyx_t_2++; if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1245, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_4);
        #endif
      } else {
        {
          Py_ssize_t __pyx_temp = __Pyx_PyTuple_GET_SIZE(__pyx_t_1);
          #if !CYTHON_ASSUME_SAFE_MACROS
          if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 1245, __pyx_L1_error)
          #endif
          if (__pyx_t_2 >= __pyx_temp) break;
        }
        #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
        __pyx_t_4 = PyTuple_GET_ITEM(__pyx_t_1, __pyx_t_2); __Pyx_INCREF(__pyx_t_4); __pyx_t_2++; if (unlikely((0 < 0))) __PYX_ERR(0, 1245, __pyx_L1_error)
        #else
        __pyx_t_4 = __Pyx_PySequence_ITEM(__pyx_t_1, __pyx_t_2); __pyx_t_2++; if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1245, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_4);
        #endif
      }
    } else {
      __pyx_t_4 = __pyx_t_3(__pyx_t_1);
      if (unlikely(!__pyx_t_4)) {
        PyObject* exc_type = PyErr_Occurred();
        if (exc_type) {
          if (likely(__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration))) PyErr_Clear();
          else __PYX_ERR(0, 1245, __pyx_L1_error)
        }
        break;
      }
      __Pyx_GOTREF(__pyx_t_4);
    }
    __Pyx_XGOTREF(__pyx_cur_scope->__pyx_v_i);
    __Pyx_XDECREF_SET(__pyx_cur_scope->__pyx_v_i, __pyx_t_4);
    __Pyx_GIVEREF(__pyx_t_4);
    __pyx_t_4 = 0;
    __pyx_t_4 = PyObject_RichCompare(__pyx_float_0_0, __pyx_cur_scope->__pyx_v_i, Py_LE); __Pyx_XGOTREF(__pyx_t_4); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1245, __pyx_L1_error)
    if (__Pyx_PyObject_IsTrue(__pyx_t_4)) {
      __Pyx_DECREF(__pyx_t_4);
      __pyx_t_4 = PyObject_RichCompare(__pyx_cur_scope->__pyx_v_i, __pyx_int_1, Py_LE); __Pyx_XGOTREF(__pyx_t_4); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1245, __pyx_L1_error)
    }
    __pyx_t_5 = __Pyx_PyObject_IsTrue(__pyx_t_4); if (unlikely((__pyx_t_5 < 0))) __PYX_ERR(0, 1245, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    if (__pyx_t_5) {
      if (unlikely(__Pyx_ListComp_Append(__pyx_r, (PyObject*)__pyx_cur_scope->__pyx_v_i))) __PYX_ERR(0, 1245, __pyx_L1_error)
    }
  }
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  CYTHON_MAYBE_UNUSED_VAR(__pyx_cur_scope);

  /* function exit code */
  goto __pyx_L0;
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_r); __pyx_r = 0;
  __Pyx_Generator_Replace_StopIteration(0);
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_AddTraceback("genexpr", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  #if !CYTHON_USE_EXC_INFO_STACK
  __Pyx_Coroutine_ResetAndClearException(__pyx_generator);
  #endif
  __pyx_generator->resume_label = -1;
  __Pyx_Coroutine_clear((PyObject*)__pyx_generator);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1235
 * 
 * 
 * def _curve_line_intersections_t(curve, line):             # <<<<<<<<<<<<<<
 *     aligned_curve = _alignment_transformation(line).transformPoints(curve)
 *     if len(curve) == 3:
 */

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_76_curve_line_intersections_t(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_curve, PyObject *__pyx_v_line) {
  PyObject *__pyx_v_aligned_curve = NULL;
  PyObject *__pyx_v_a = NULL;
  PyObject *__pyx_v_b = NULL;
  PyObject *__pyx_v_c = NULL;
  PyObject *__pyx_v_intersections = NULL;
  PyObject *__pyx_v_d = NULL;
  PyObject *__pyx_gb_9fontTools_4misc_11bezierTools_27_curve_line_intersections_t_2generator4 = 0;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  int __pyx_t_5;
  Py_ssize_t __pyx_t_6;
  int __pyx_t_7;
  PyObject *__pyx_t_8 = NULL;
  PyObject *(*__pyx_t_9)(PyObject *);
  PyObject *__pyx_t_10 = NULL;
  PyObject *__pyx_t_11 = NULL;
  int __pyx_t_12;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("_curve_line_intersections_t", 1);

  /* "fontTools/misc/bezierTools.py":1236
 * 
 * def _curve_line_intersections_t(curve, line):
 *     aligned_curve = _alignment_transformation(line).transformPoints(curve)             # <<<<<<<<<<<<<<
 *     if len(curve) == 3:
 *         a, b, c = calcQuadraticParameters(*aligned_curve)
 */
  __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_alignment_transformation); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1236, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_4 = NULL;
  __pyx_t_5 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_3))) {
    __pyx_t_4 = PyMethod_GET_SELF(__pyx_t_3);
    if (likely(__pyx_t_4)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_3);
      __Pyx_INCREF(__pyx_t_4);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_3, function);
      __pyx_t_5 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[2] = {__pyx_t_4, __pyx_v_line};
    __pyx_t_2 = __Pyx_PyObject_FastCall(__pyx_t_3, __pyx_callargs+1-__pyx_t_5, 1+__pyx_t_5);
    __Pyx_XDECREF(__pyx_t_4); __pyx_t_4 = 0;
    if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1236, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  }
  __pyx_t_3 = __Pyx_PyObject_GetAttrStr(__pyx_t_2, __pyx_n_s_transformPoints); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1236, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = NULL;
  __pyx_t_5 = 0;
  #if CYTHON_UNPACK_METHODS
  if (likely(PyMethod_Check(__pyx_t_3))) {
    __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_3);
    if (likely(__pyx_t_2)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_3);
      __Pyx_INCREF(__pyx_t_2);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_3, function);
      __pyx_t_5 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[2] = {__pyx_t_2, __pyx_v_curve};
    __pyx_t_1 = __Pyx_PyObject_FastCall(__pyx_t_3, __pyx_callargs+1-__pyx_t_5, 1+__pyx_t_5);
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1236, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  }
  __pyx_v_aligned_curve = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1237
 * def _curve_line_intersections_t(curve, line):
 *     aligned_curve = _alignment_transformation(line).transformPoints(curve)
 *     if len(curve) == 3:             # <<<<<<<<<<<<<<
 *         a, b, c = calcQuadraticParameters(*aligned_curve)
 *         intersections = solveQuadratic(a[1], b[1], c[1])
 */
  __pyx_t_6 = PyObject_Length(__pyx_v_curve); if (unlikely(__pyx_t_6 == ((Py_ssize_t)-1))) __PYX_ERR(0, 1237, __pyx_L1_error)
  __pyx_t_7 = (__pyx_t_6 == 3);
  if (__pyx_t_7) {

    /* "fontTools/misc/bezierTools.py":1238
 *     aligned_curve = _alignment_transformation(line).transformPoints(curve)
 *     if len(curve) == 3:
 *         a, b, c = calcQuadraticParameters(*aligned_curve)             # <<<<<<<<<<<<<<
 *         intersections = solveQuadratic(a[1], b[1], c[1])
 *     elif len(curve) == 4:
 */
    __Pyx_GetModuleGlobalName(__pyx_t_1, __pyx_n_s_calcQuadraticParameters); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1238, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_3 = __Pyx_PySequence_Tuple(__pyx_v_aligned_curve); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1238, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_2 = __Pyx_PyObject_Call(__pyx_t_1, __pyx_t_3, NULL); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1238, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    if ((likely(PyTuple_CheckExact(__pyx_t_2))) || (PyList_CheckExact(__pyx_t_2))) {
      PyObject* sequence = __pyx_t_2;
      Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
      if (unlikely(size != 3)) {
        if (size > 3) __Pyx_RaiseTooManyValuesError(3);
        else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
        __PYX_ERR(0, 1238, __pyx_L1_error)
      }
      #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
      if (likely(PyTuple_CheckExact(sequence))) {
        __pyx_t_3 = PyTuple_GET_ITEM(sequence, 0); 
        __pyx_t_1 = PyTuple_GET_ITEM(sequence, 1); 
        __pyx_t_4 = PyTuple_GET_ITEM(sequence, 2); 
      } else {
        __pyx_t_3 = PyList_GET_ITEM(sequence, 0); 
        __pyx_t_1 = PyList_GET_ITEM(sequence, 1); 
        __pyx_t_4 = PyList_GET_ITEM(sequence, 2); 
      }
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_INCREF(__pyx_t_1);
      __Pyx_INCREF(__pyx_t_4);
      #else
      __pyx_t_3 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1238, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
      __pyx_t_1 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1238, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __pyx_t_4 = PySequence_ITEM(sequence, 2); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1238, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_4);
      #endif
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    } else {
      Py_ssize_t index = -1;
      __pyx_t_8 = PyObject_GetIter(__pyx_t_2); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1238, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_8);
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
      __pyx_t_9 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_8);
      index = 0; __pyx_t_3 = __pyx_t_9(__pyx_t_8); if (unlikely(!__pyx_t_3)) goto __pyx_L4_unpacking_failed;
      __Pyx_GOTREF(__pyx_t_3);
      index = 1; __pyx_t_1 = __pyx_t_9(__pyx_t_8); if (unlikely(!__pyx_t_1)) goto __pyx_L4_unpacking_failed;
      __Pyx_GOTREF(__pyx_t_1);
      index = 2; __pyx_t_4 = __pyx_t_9(__pyx_t_8); if (unlikely(!__pyx_t_4)) goto __pyx_L4_unpacking_failed;
      __Pyx_GOTREF(__pyx_t_4);
      if (__Pyx_IternextUnpackEndCheck(__pyx_t_9(__pyx_t_8), 3) < 0) __PYX_ERR(0, 1238, __pyx_L1_error)
      __pyx_t_9 = NULL;
      __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
      goto __pyx_L5_unpacking_done;
      __pyx_L4_unpacking_failed:;
      __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
      __pyx_t_9 = NULL;
      if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
      __PYX_ERR(0, 1238, __pyx_L1_error)
      __pyx_L5_unpacking_done:;
    }
    __pyx_v_a = __pyx_t_3;
    __pyx_t_3 = 0;
    __pyx_v_b = __pyx_t_1;
    __pyx_t_1 = 0;
    __pyx_v_c = __pyx_t_4;
    __pyx_t_4 = 0;

    /* "fontTools/misc/bezierTools.py":1239
 *     if len(curve) == 3:
 *         a, b, c = calcQuadraticParameters(*aligned_curve)
 *         intersections = solveQuadratic(a[1], b[1], c[1])             # <<<<<<<<<<<<<<
 *     elif len(curve) == 4:
 *         a, b, c, d = calcCubicParameters(*aligned_curve)
 */
    __Pyx_GetModuleGlobalName(__pyx_t_4, __pyx_n_s_solveQuadratic); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1239, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_1 = __Pyx_GetItemInt(__pyx_v_a, 1, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1239, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_3 = __Pyx_GetItemInt(__pyx_v_b, 1, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1239, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_8 = __Pyx_GetItemInt(__pyx_v_c, 1, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1239, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    __pyx_t_10 = NULL;
    __pyx_t_5 = 0;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_4))) {
      __pyx_t_10 = PyMethod_GET_SELF(__pyx_t_4);
      if (likely(__pyx_t_10)) {
        PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_4);
        __Pyx_INCREF(__pyx_t_10);
        __Pyx_INCREF(function);
        __Pyx_DECREF_SET(__pyx_t_4, function);
        __pyx_t_5 = 1;
      }
    }
    #endif
    {
      PyObject *__pyx_callargs[4] = {__pyx_t_10, __pyx_t_1, __pyx_t_3, __pyx_t_8};
      __pyx_t_2 = __Pyx_PyObject_FastCall(__pyx_t_4, __pyx_callargs+1-__pyx_t_5, 3+__pyx_t_5);
      __Pyx_XDECREF(__pyx_t_10); __pyx_t_10 = 0;
      __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
      if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1239, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_2);
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    }
    __pyx_v_intersections = __pyx_t_2;
    __pyx_t_2 = 0;

    /* "fontTools/misc/bezierTools.py":1237
 * def _curve_line_intersections_t(curve, line):
 *     aligned_curve = _alignment_transformation(line).transformPoints(curve)
 *     if len(curve) == 3:             # <<<<<<<<<<<<<<
 *         a, b, c = calcQuadraticParameters(*aligned_curve)
 *         intersections = solveQuadratic(a[1], b[1], c[1])
 */
    goto __pyx_L3;
  }

  /* "fontTools/misc/bezierTools.py":1240
 *         a, b, c = calcQuadraticParameters(*aligned_curve)
 *         intersections = solveQuadratic(a[1], b[1], c[1])
 *     elif len(curve) == 4:             # <<<<<<<<<<<<<<
 *         a, b, c, d = calcCubicParameters(*aligned_curve)
 *         intersections = solveCubic(a[1], b[1], c[1], d[1])
 */
  __pyx_t_6 = PyObject_Length(__pyx_v_curve); if (unlikely(__pyx_t_6 == ((Py_ssize_t)-1))) __PYX_ERR(0, 1240, __pyx_L1_error)
  __pyx_t_7 = (__pyx_t_6 == 4);
  if (likely(__pyx_t_7)) {

    /* "fontTools/misc/bezierTools.py":1241
 *         intersections = solveQuadratic(a[1], b[1], c[1])
 *     elif len(curve) == 4:
 *         a, b, c, d = calcCubicParameters(*aligned_curve)             # <<<<<<<<<<<<<<
 *         intersections = solveCubic(a[1], b[1], c[1], d[1])
 *     else:
 */
    __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_calcCubicParameters); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1241, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_4 = __Pyx_PySequence_Tuple(__pyx_v_aligned_curve); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1241, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_8 = __Pyx_PyObject_Call(__pyx_t_2, __pyx_t_4, NULL); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1241, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    if ((likely(PyTuple_CheckExact(__pyx_t_8))) || (PyList_CheckExact(__pyx_t_8))) {
      PyObject* sequence = __pyx_t_8;
      Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
      if (unlikely(size != 4)) {
        if (size > 4) __Pyx_RaiseTooManyValuesError(4);
        else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
        __PYX_ERR(0, 1241, __pyx_L1_error)
      }
      #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
      if (likely(PyTuple_CheckExact(sequence))) {
        __pyx_t_4 = PyTuple_GET_ITEM(sequence, 0); 
        __pyx_t_2 = PyTuple_GET_ITEM(sequence, 1); 
        __pyx_t_3 = PyTuple_GET_ITEM(sequence, 2); 
        __pyx_t_1 = PyTuple_GET_ITEM(sequence, 3); 
      } else {
        __pyx_t_4 = PyList_GET_ITEM(sequence, 0); 
        __pyx_t_2 = PyList_GET_ITEM(sequence, 1); 
        __pyx_t_3 = PyList_GET_ITEM(sequence, 2); 
        __pyx_t_1 = PyList_GET_ITEM(sequence, 3); 
      }
      __Pyx_INCREF(__pyx_t_4);
      __Pyx_INCREF(__pyx_t_2);
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_INCREF(__pyx_t_1);
      #else
      {
        Py_ssize_t i;
        PyObject** temps[4] = {&__pyx_t_4,&__pyx_t_2,&__pyx_t_3,&__pyx_t_1};
        for (i=0; i < 4; i++) {
          PyObject* item = PySequence_ITEM(sequence, i); if (unlikely(!item)) __PYX_ERR(0, 1241, __pyx_L1_error)
          __Pyx_GOTREF(item);
          *(temps[i]) = item;
        }
      }
      #endif
      __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
    } else {
      Py_ssize_t index = -1;
      PyObject** temps[4] = {&__pyx_t_4,&__pyx_t_2,&__pyx_t_3,&__pyx_t_1};
      __pyx_t_10 = PyObject_GetIter(__pyx_t_8); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 1241, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_10);
      __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
      __pyx_t_9 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_10);
      for (index=0; index < 4; index++) {
        PyObject* item = __pyx_t_9(__pyx_t_10); if (unlikely(!item)) goto __pyx_L6_unpacking_failed;
        __Pyx_GOTREF(item);
        *(temps[index]) = item;
      }
      if (__Pyx_IternextUnpackEndCheck(__pyx_t_9(__pyx_t_10), 4) < 0) __PYX_ERR(0, 1241, __pyx_L1_error)
      __pyx_t_9 = NULL;
      __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
      goto __pyx_L7_unpacking_done;
      __pyx_L6_unpacking_failed:;
      __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
      __pyx_t_9 = NULL;
      if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
      __PYX_ERR(0, 1241, __pyx_L1_error)
      __pyx_L7_unpacking_done:;
    }
    __pyx_v_a = __pyx_t_4;
    __pyx_t_4 = 0;
    __pyx_v_b = __pyx_t_2;
    __pyx_t_2 = 0;
    __pyx_v_c = __pyx_t_3;
    __pyx_t_3 = 0;
    __pyx_v_d = __pyx_t_1;
    __pyx_t_1 = 0;

    /* "fontTools/misc/bezierTools.py":1242
 *     elif len(curve) == 4:
 *         a, b, c, d = calcCubicParameters(*aligned_curve)
 *         intersections = solveCubic(a[1], b[1], c[1], d[1])             # <<<<<<<<<<<<<<
 *     else:
 *         raise ValueError("Unknown curve degree")
 */
    __Pyx_GetModuleGlobalName(__pyx_t_1, __pyx_n_s_solveCubic); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1242, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_3 = __Pyx_GetItemInt(__pyx_v_a, 1, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1242, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_2 = __Pyx_GetItemInt(__pyx_v_b, 1, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1242, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_4 = __Pyx_GetItemInt(__pyx_v_c, 1, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1242, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_10 = __Pyx_GetItemInt(__pyx_v_d, 1, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 1242, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_10);
    __pyx_t_11 = NULL;
    __pyx_t_5 = 0;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_1))) {
      __pyx_t_11 = PyMethod_GET_SELF(__pyx_t_1);
      if (likely(__pyx_t_11)) {
        PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_1);
        __Pyx_INCREF(__pyx_t_11);
        __Pyx_INCREF(function);
        __Pyx_DECREF_SET(__pyx_t_1, function);
        __pyx_t_5 = 1;
      }
    }
    #endif
    {
      PyObject *__pyx_callargs[5] = {__pyx_t_11, __pyx_t_3, __pyx_t_2, __pyx_t_4, __pyx_t_10};
      __pyx_t_8 = __Pyx_PyObject_FastCall(__pyx_t_1, __pyx_callargs+1-__pyx_t_5, 4+__pyx_t_5);
      __Pyx_XDECREF(__pyx_t_11); __pyx_t_11 = 0;
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
      if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1242, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_8);
      __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    }
    __pyx_v_intersections = __pyx_t_8;
    __pyx_t_8 = 0;

    /* "fontTools/misc/bezierTools.py":1240
 *         a, b, c = calcQuadraticParameters(*aligned_curve)
 *         intersections = solveQuadratic(a[1], b[1], c[1])
 *     elif len(curve) == 4:             # <<<<<<<<<<<<<<
 *         a, b, c, d = calcCubicParameters(*aligned_curve)
 *         intersections = solveCubic(a[1], b[1], c[1], d[1])
 */
    goto __pyx_L3;
  }

  /* "fontTools/misc/bezierTools.py":1244
 *         intersections = solveCubic(a[1], b[1], c[1], d[1])
 *     else:
 *         raise ValueError("Unknown curve degree")             # <<<<<<<<<<<<<<
 *     return sorted(i for i in intersections if 0.0 <= i <= 1)
 * 
 */
  /*else*/ {
    __pyx_t_8 = __Pyx_PyObject_Call(__pyx_builtin_ValueError, __pyx_tuple__4, NULL); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1244, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    __Pyx_Raise(__pyx_t_8, 0, 0, 0);
    __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
    __PYX_ERR(0, 1244, __pyx_L1_error)
  }
  __pyx_L3:;

  /* "fontTools/misc/bezierTools.py":1245
 *     else:
 *         raise ValueError("Unknown curve degree")
 *     return sorted(i for i in intersections if 0.0 <= i <= 1)             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = __pyx_pf_9fontTools_4misc_11bezierTools_27_curve_line_intersections_t_genexpr(NULL, __pyx_v_intersections); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1245, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_10 = __Pyx_Generator_Next(__pyx_t_1); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 1245, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_10);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_8 = ((PyObject*)__pyx_t_10);
  __pyx_t_10 = 0;
  __pyx_t_12 = PyList_Sort(__pyx_t_8); if (unlikely(__pyx_t_12 == ((int)-1))) __PYX_ERR(0, 1245, __pyx_L1_error)
  __pyx_r = __pyx_t_8;
  __pyx_t_8 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":1235
 * 
 * 
 * def _curve_line_intersections_t(curve, line):             # <<<<<<<<<<<<<<
 *     aligned_curve = _alignment_transformation(line).transformPoints(curve)
 *     if len(curve) == 3:
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_8);
  __Pyx_XDECREF(__pyx_t_10);
  __Pyx_XDECREF(__pyx_t_11);
  __Pyx_AddTraceback("fontTools.misc.bezierTools._curve_line_intersections_t", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_aligned_curve);
  __Pyx_XDECREF(__pyx_v_a);
  __Pyx_XDECREF(__pyx_v_b);
  __Pyx_XDECREF(__pyx_v_c);
  __Pyx_XDECREF(__pyx_v_intersections);
  __Pyx_XDECREF(__pyx_v_d);
  __Pyx_XDECREF(__pyx_gb_9fontTools_4misc_11bezierTools_27_curve_line_intersections_t_2generator4);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1248
 * 
 * 
 * def curveLineIntersections(curve, line):             # <<<<<<<<<<<<<<
 *     """Finds intersections between a curve and a line.
 * 
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_79curveLineIntersections(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_78curveLineIntersections, "curveLineIntersections(curve, line)\nFinds intersections between a curve and a line.\n\n    Args:\n        curve: List of coordinates of the curve segment as 2D tuples.\n        line: List of coordinates of the line segment as 2D tuples.\n\n    Returns:\n        A list of ``Intersection`` objects, each object having ``pt``, ``t1``\n        and ``t2`` attributes containing the intersection point, time on first\n        segment and time on second segment respectively.\n\n    Examples::\n        >>> curve = [ (100, 240), (30, 60), (210, 230), (160, 30) ]\n        >>> line  = [ (25, 260), (230, 20) ]\n        >>> intersections = curveLineIntersections(curve, line)\n        >>> len(intersections)\n        3\n        >>> intersections[0].pt\n        (84.9000930760723, 189.87306176459828)\n    ");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_79curveLineIntersections = {"curveLineIntersections", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_79curveLineIntersections, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_78curveLineIntersections};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_79curveLineIntersections(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_curve = 0;
  PyObject *__pyx_v_line = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[2] = {0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("curveLineIntersections (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_curve,&__pyx_n_s_line,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_curve)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1248, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_line)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[1]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1248, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("curveLineIntersections", 1, 2, 2, 1); __PYX_ERR(0, 1248, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "curveLineIntersections") < 0)) __PYX_ERR(0, 1248, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs != 2)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
      values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
    }
    __pyx_v_curve = values[0];
    __pyx_v_line = values[1];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("curveLineIntersections", 1, 2, 2, __pyx_nargs); __PYX_ERR(0, 1248, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.curveLineIntersections", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_78curveLineIntersections(__pyx_self, __pyx_v_curve, __pyx_v_line);

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_78curveLineIntersections(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_curve, PyObject *__pyx_v_line) {
  PyObject *__pyx_v_pointFinder = NULL;
  PyObject *__pyx_v_intersections = NULL;
  PyObject *__pyx_v_t = NULL;
  PyObject *__pyx_v_pt = NULL;
  PyObject *__pyx_v_line_t = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  Py_ssize_t __pyx_t_1;
  int __pyx_t_2;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  int __pyx_t_6;
  PyObject *(*__pyx_t_7)(PyObject *);
  PyObject *__pyx_t_8 = NULL;
  PyObject *__pyx_t_9 = NULL;
  int __pyx_t_10;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("curveLineIntersections", 1);

  /* "fontTools/misc/bezierTools.py":1269
 *         (84.9000930760723, 189.87306176459828)
 *     """
 *     if len(curve) == 3:             # <<<<<<<<<<<<<<
 *         pointFinder = quadraticPointAtT
 *     elif len(curve) == 4:
 */
  __pyx_t_1 = PyObject_Length(__pyx_v_curve); if (unlikely(__pyx_t_1 == ((Py_ssize_t)-1))) __PYX_ERR(0, 1269, __pyx_L1_error)
  __pyx_t_2 = (__pyx_t_1 == 3);
  if (__pyx_t_2) {

    /* "fontTools/misc/bezierTools.py":1270
 *     """
 *     if len(curve) == 3:
 *         pointFinder = quadraticPointAtT             # <<<<<<<<<<<<<<
 *     elif len(curve) == 4:
 *         pointFinder = cubicPointAtT
 */
    __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_quadraticPointAtT); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1270, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_v_pointFinder = __pyx_t_3;
    __pyx_t_3 = 0;

    /* "fontTools/misc/bezierTools.py":1269
 *         (84.9000930760723, 189.87306176459828)
 *     """
 *     if len(curve) == 3:             # <<<<<<<<<<<<<<
 *         pointFinder = quadraticPointAtT
 *     elif len(curve) == 4:
 */
    goto __pyx_L3;
  }

  /* "fontTools/misc/bezierTools.py":1271
 *     if len(curve) == 3:
 *         pointFinder = quadraticPointAtT
 *     elif len(curve) == 4:             # <<<<<<<<<<<<<<
 *         pointFinder = cubicPointAtT
 *     else:
 */
  __pyx_t_1 = PyObject_Length(__pyx_v_curve); if (unlikely(__pyx_t_1 == ((Py_ssize_t)-1))) __PYX_ERR(0, 1271, __pyx_L1_error)
  __pyx_t_2 = (__pyx_t_1 == 4);
  if (likely(__pyx_t_2)) {

    /* "fontTools/misc/bezierTools.py":1272
 *         pointFinder = quadraticPointAtT
 *     elif len(curve) == 4:
 *         pointFinder = cubicPointAtT             # <<<<<<<<<<<<<<
 *     else:
 *         raise ValueError("Unknown curve degree")
 */
    __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_cubicPointAtT); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1272, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_v_pointFinder = __pyx_t_3;
    __pyx_t_3 = 0;

    /* "fontTools/misc/bezierTools.py":1271
 *     if len(curve) == 3:
 *         pointFinder = quadraticPointAtT
 *     elif len(curve) == 4:             # <<<<<<<<<<<<<<
 *         pointFinder = cubicPointAtT
 *     else:
 */
    goto __pyx_L3;
  }

  /* "fontTools/misc/bezierTools.py":1274
 *         pointFinder = cubicPointAtT
 *     else:
 *         raise ValueError("Unknown curve degree")             # <<<<<<<<<<<<<<
 *     intersections = []
 *     for t in _curve_line_intersections_t(curve, line):
 */
  /*else*/ {
    __pyx_t_3 = __Pyx_PyObject_Call(__pyx_builtin_ValueError, __pyx_tuple__4, NULL); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1274, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_Raise(__pyx_t_3, 0, 0, 0);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __PYX_ERR(0, 1274, __pyx_L1_error)
  }
  __pyx_L3:;

  /* "fontTools/misc/bezierTools.py":1275
 *     else:
 *         raise ValueError("Unknown curve degree")
 *     intersections = []             # <<<<<<<<<<<<<<
 *     for t in _curve_line_intersections_t(curve, line):
 *         pt = pointFinder(*curve, t)
 */
  __pyx_t_3 = PyList_New(0); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1275, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_v_intersections = ((PyObject*)__pyx_t_3);
  __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1276
 *         raise ValueError("Unknown curve degree")
 *     intersections = []
 *     for t in _curve_line_intersections_t(curve, line):             # <<<<<<<<<<<<<<
 *         pt = pointFinder(*curve, t)
 *         # Back-project the point onto the line, to avoid problems with
 */
  __Pyx_GetModuleGlobalName(__pyx_t_4, __pyx_n_s_curve_line_intersections_t); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1276, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_5 = NULL;
  __pyx_t_6 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_4))) {
    __pyx_t_5 = PyMethod_GET_SELF(__pyx_t_4);
    if (likely(__pyx_t_5)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_4);
      __Pyx_INCREF(__pyx_t_5);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_4, function);
      __pyx_t_6 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[3] = {__pyx_t_5, __pyx_v_curve, __pyx_v_line};
    __pyx_t_3 = __Pyx_PyObject_FastCall(__pyx_t_4, __pyx_callargs+1-__pyx_t_6, 2+__pyx_t_6);
    __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
    if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1276, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  }
  if (likely(PyList_CheckExact(__pyx_t_3)) || PyTuple_CheckExact(__pyx_t_3)) {
    __pyx_t_4 = __pyx_t_3; __Pyx_INCREF(__pyx_t_4);
    __pyx_t_1 = 0;
    __pyx_t_7 = NULL;
  } else {
    __pyx_t_1 = -1; __pyx_t_4 = PyObject_GetIter(__pyx_t_3); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1276, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_7 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_4); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1276, __pyx_L1_error)
  }
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  for (;;) {
    if (likely(!__pyx_t_7)) {
      if (likely(PyList_CheckExact(__pyx_t_4))) {
        {
          Py_ssize_t __pyx_temp = __Pyx_PyList_GET_SIZE(__pyx_t_4);
          #if !CYTHON_ASSUME_SAFE_MACROS
          if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 1276, __pyx_L1_error)
          #endif
          if (__pyx_t_1 >= __pyx_temp) break;
        }
        #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
        __pyx_t_3 = PyList_GET_ITEM(__pyx_t_4, __pyx_t_1); __Pyx_INCREF(__pyx_t_3); __pyx_t_1++; if (unlikely((0 < 0))) __PYX_ERR(0, 1276, __pyx_L1_error)
        #else
        __pyx_t_3 = __Pyx_PySequence_ITEM(__pyx_t_4, __pyx_t_1); __pyx_t_1++; if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1276, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_3);
        #endif
      } else {
        {
          Py_ssize_t __pyx_temp = __Pyx_PyTuple_GET_SIZE(__pyx_t_4);
          #if !CYTHON_ASSUME_SAFE_MACROS
          if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 1276, __pyx_L1_error)
          #endif
          if (__pyx_t_1 >= __pyx_temp) break;
        }
        #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
        __pyx_t_3 = PyTuple_GET_ITEM(__pyx_t_4, __pyx_t_1); __Pyx_INCREF(__pyx_t_3); __pyx_t_1++; if (unlikely((0 < 0))) __PYX_ERR(0, 1276, __pyx_L1_error)
        #else
        __pyx_t_3 = __Pyx_PySequence_ITEM(__pyx_t_4, __pyx_t_1); __pyx_t_1++; if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1276, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_3);
        #endif
      }
    } else {
      __pyx_t_3 = __pyx_t_7(__pyx_t_4);
      if (unlikely(!__pyx_t_3)) {
        PyObject* exc_type = PyErr_Occurred();
        if (exc_type) {
          if (likely(__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration))) PyErr_Clear();
          else __PYX_ERR(0, 1276, __pyx_L1_error)
        }
        break;
      }
      __Pyx_GOTREF(__pyx_t_3);
    }
    __Pyx_XDECREF_SET(__pyx_v_t, __pyx_t_3);
    __pyx_t_3 = 0;

    /* "fontTools/misc/bezierTools.py":1277
 *     intersections = []
 *     for t in _curve_line_intersections_t(curve, line):
 *         pt = pointFinder(*curve, t)             # <<<<<<<<<<<<<<
 *         # Back-project the point onto the line, to avoid problems with
 *         # numerical accuracy in the case of vertical and horizontal lines
 */
    __pyx_t_3 = __Pyx_PySequence_Tuple(__pyx_v_curve); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1277, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_5 = PyTuple_New(1); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1277, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __Pyx_INCREF(__pyx_v_t);
    __Pyx_GIVEREF(__pyx_v_t);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_v_t)) __PYX_ERR(0, 1277, __pyx_L1_error);
    __pyx_t_8 = PyNumber_Add(__pyx_t_3, __pyx_t_5); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1277, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __pyx_t_5 = __Pyx_PyObject_Call(__pyx_v_pointFinder, __pyx_t_8, NULL); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1277, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
    __Pyx_XDECREF_SET(__pyx_v_pt, __pyx_t_5);
    __pyx_t_5 = 0;

    /* "fontTools/misc/bezierTools.py":1280
 *         # Back-project the point onto the line, to avoid problems with
 *         # numerical accuracy in the case of vertical and horizontal lines
 *         line_t = _line_t_of_pt(*line, pt)             # <<<<<<<<<<<<<<
 *         pt = linePointAtT(*line, line_t)
 *         intersections.append(Intersection(pt=pt, t1=t, t2=line_t))
 */
    __Pyx_GetModuleGlobalName(__pyx_t_5, __pyx_n_s_line_t_of_pt); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1280, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __pyx_t_8 = __Pyx_PySequence_Tuple(__pyx_v_line); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1280, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    __pyx_t_3 = PyTuple_New(1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1280, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_INCREF(__pyx_v_pt);
    __Pyx_GIVEREF(__pyx_v_pt);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_v_pt)) __PYX_ERR(0, 1280, __pyx_L1_error);
    __pyx_t_9 = PyNumber_Add(__pyx_t_8, __pyx_t_3); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 1280, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_9);
    __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_3 = __Pyx_PyObject_Call(__pyx_t_5, __pyx_t_9, NULL); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1280, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
    __Pyx_XDECREF_SET(__pyx_v_line_t, __pyx_t_3);
    __pyx_t_3 = 0;

    /* "fontTools/misc/bezierTools.py":1281
 *         # numerical accuracy in the case of vertical and horizontal lines
 *         line_t = _line_t_of_pt(*line, pt)
 *         pt = linePointAtT(*line, line_t)             # <<<<<<<<<<<<<<
 *         intersections.append(Intersection(pt=pt, t1=t, t2=line_t))
 *     return intersections
 */
    __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_linePointAtT); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1281, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_9 = __Pyx_PySequence_Tuple(__pyx_v_line); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 1281, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_9);
    __pyx_t_5 = PyTuple_New(1); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1281, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __Pyx_INCREF(__pyx_v_line_t);
    __Pyx_GIVEREF(__pyx_v_line_t);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_v_line_t)) __PYX_ERR(0, 1281, __pyx_L1_error);
    __pyx_t_8 = PyNumber_Add(__pyx_t_9, __pyx_t_5); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1281, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __pyx_t_5 = __Pyx_PyObject_Call(__pyx_t_3, __pyx_t_8, NULL); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1281, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
    __Pyx_DECREF_SET(__pyx_v_pt, __pyx_t_5);
    __pyx_t_5 = 0;

    /* "fontTools/misc/bezierTools.py":1282
 *         line_t = _line_t_of_pt(*line, pt)
 *         pt = linePointAtT(*line, line_t)
 *         intersections.append(Intersection(pt=pt, t1=t, t2=line_t))             # <<<<<<<<<<<<<<
 *     return intersections
 * 
 */
    __Pyx_GetModuleGlobalName(__pyx_t_5, __pyx_n_s_Intersection); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1282, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __pyx_t_8 = __Pyx_PyDict_NewPresized(3); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1282, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    if (PyDict_SetItem(__pyx_t_8, __pyx_n_s_pt, __pyx_v_pt) < 0) __PYX_ERR(0, 1282, __pyx_L1_error)
    if (PyDict_SetItem(__pyx_t_8, __pyx_n_s_t1, __pyx_v_t) < 0) __PYX_ERR(0, 1282, __pyx_L1_error)
    if (PyDict_SetItem(__pyx_t_8, __pyx_n_s_t2, __pyx_v_line_t) < 0) __PYX_ERR(0, 1282, __pyx_L1_error)
    __pyx_t_3 = __Pyx_PyObject_Call(__pyx_t_5, __pyx_empty_tuple, __pyx_t_8); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1282, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
    __pyx_t_10 = __Pyx_PyList_Append(__pyx_v_intersections, __pyx_t_3); if (unlikely(__pyx_t_10 == ((int)-1))) __PYX_ERR(0, 1282, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

    /* "fontTools/misc/bezierTools.py":1276
 *         raise ValueError("Unknown curve degree")
 *     intersections = []
 *     for t in _curve_line_intersections_t(curve, line):             # <<<<<<<<<<<<<<
 *         pt = pointFinder(*curve, t)
 *         # Back-project the point onto the line, to avoid problems with
 */
  }
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;

  /* "fontTools/misc/bezierTools.py":1283
 *         pt = linePointAtT(*line, line_t)
 *         intersections.append(Intersection(pt=pt, t1=t, t2=line_t))
 *     return intersections             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __Pyx_XDECREF(__pyx_r);
  __Pyx_INCREF(__pyx_v_intersections);
  __pyx_r = __pyx_v_intersections;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":1248
 * 
 * 
 * def curveLineIntersections(curve, line):             # <<<<<<<<<<<<<<
 *     """Finds intersections between a curve and a line.
 * 
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_8);
  __Pyx_XDECREF(__pyx_t_9);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.curveLineIntersections", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_pointFinder);
  __Pyx_XDECREF(__pyx_v_intersections);
  __Pyx_XDECREF(__pyx_v_t);
  __Pyx_XDECREF(__pyx_v_pt);
  __Pyx_XDECREF(__pyx_v_line_t);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1286
 * 
 * 
 * def _curve_bounds(c):             # <<<<<<<<<<<<<<
 *     if len(c) == 3:
 *         return calcQuadraticBounds(*c)
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_81_curve_bounds(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_80_curve_bounds, "_curve_bounds(c)");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_81_curve_bounds = {"_curve_bounds", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_81_curve_bounds, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_80_curve_bounds};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_81_curve_bounds(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_c = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[1] = {0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("_curve_bounds (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_c,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_c)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1286, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "_curve_bounds") < 0)) __PYX_ERR(0, 1286, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs != 1)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
    }
    __pyx_v_c = values[0];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("_curve_bounds", 1, 1, 1, __pyx_nargs); __PYX_ERR(0, 1286, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools._curve_bounds", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_80_curve_bounds(__pyx_self, __pyx_v_c);

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_80_curve_bounds(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_c) {
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  Py_ssize_t __pyx_t_1;
  int __pyx_t_2;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("_curve_bounds", 1);

  /* "fontTools/misc/bezierTools.py":1287
 * 
 * def _curve_bounds(c):
 *     if len(c) == 3:             # <<<<<<<<<<<<<<
 *         return calcQuadraticBounds(*c)
 *     elif len(c) == 4:
 */
  __pyx_t_1 = PyObject_Length(__pyx_v_c); if (unlikely(__pyx_t_1 == ((Py_ssize_t)-1))) __PYX_ERR(0, 1287, __pyx_L1_error)
  __pyx_t_2 = (__pyx_t_1 == 3);
  if (__pyx_t_2) {

    /* "fontTools/misc/bezierTools.py":1288
 * def _curve_bounds(c):
 *     if len(c) == 3:
 *         return calcQuadraticBounds(*c)             # <<<<<<<<<<<<<<
 *     elif len(c) == 4:
 *         return calcCubicBounds(*c)
 */
    __Pyx_XDECREF(__pyx_r);
    __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_calcQuadraticBounds); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1288, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = __Pyx_PySequence_Tuple(__pyx_v_c); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1288, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_5 = __Pyx_PyObject_Call(__pyx_t_3, __pyx_t_4, NULL); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1288, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __pyx_r = __pyx_t_5;
    __pyx_t_5 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":1287
 * 
 * def _curve_bounds(c):
 *     if len(c) == 3:             # <<<<<<<<<<<<<<
 *         return calcQuadraticBounds(*c)
 *     elif len(c) == 4:
 */
  }

  /* "fontTools/misc/bezierTools.py":1289
 *     if len(c) == 3:
 *         return calcQuadraticBounds(*c)
 *     elif len(c) == 4:             # <<<<<<<<<<<<<<
 *         return calcCubicBounds(*c)
 *     raise ValueError("Unknown curve degree")
 */
  __pyx_t_1 = PyObject_Length(__pyx_v_c); if (unlikely(__pyx_t_1 == ((Py_ssize_t)-1))) __PYX_ERR(0, 1289, __pyx_L1_error)
  __pyx_t_2 = (__pyx_t_1 == 4);
  if (__pyx_t_2) {

    /* "fontTools/misc/bezierTools.py":1290
 *         return calcQuadraticBounds(*c)
 *     elif len(c) == 4:
 *         return calcCubicBounds(*c)             # <<<<<<<<<<<<<<
 *     raise ValueError("Unknown curve degree")
 * 
 */
    __Pyx_XDECREF(__pyx_r);
    __Pyx_GetModuleGlobalName(__pyx_t_5, __pyx_n_s_calcCubicBounds); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1290, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __pyx_t_4 = __Pyx_PySequence_Tuple(__pyx_v_c); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1290, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_3 = __Pyx_PyObject_Call(__pyx_t_5, __pyx_t_4, NULL); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1290, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __pyx_r = __pyx_t_3;
    __pyx_t_3 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":1289
 *     if len(c) == 3:
 *         return calcQuadraticBounds(*c)
 *     elif len(c) == 4:             # <<<<<<<<<<<<<<
 *         return calcCubicBounds(*c)
 *     raise ValueError("Unknown curve degree")
 */
  }

  /* "fontTools/misc/bezierTools.py":1291
 *     elif len(c) == 4:
 *         return calcCubicBounds(*c)
 *     raise ValueError("Unknown curve degree")             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_t_3 = __Pyx_PyObject_Call(__pyx_builtin_ValueError, __pyx_tuple__4, NULL); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1291, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_Raise(__pyx_t_3, 0, 0, 0);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __PYX_ERR(0, 1291, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":1286
 * 
 * 
 * def _curve_bounds(c):             # <<<<<<<<<<<<<<
 *     if len(c) == 3:
 *         return calcQuadraticBounds(*c)
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_AddTraceback("fontTools.misc.bezierTools._curve_bounds", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1294
 * 
 * 
 * def _split_segment_at_t(c, t):             # <<<<<<<<<<<<<<
 *     if len(c) == 2:
 *         s, e = c
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_83_split_segment_at_t(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_82_split_segment_at_t, "_split_segment_at_t(c, t)");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_83_split_segment_at_t = {"_split_segment_at_t", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_83_split_segment_at_t, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_82_split_segment_at_t};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_83_split_segment_at_t(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_c = 0;
  PyObject *__pyx_v_t = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[2] = {0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("_split_segment_at_t (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_c,&__pyx_n_s_t,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_c)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1294, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_t)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[1]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1294, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("_split_segment_at_t", 1, 2, 2, 1); __PYX_ERR(0, 1294, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "_split_segment_at_t") < 0)) __PYX_ERR(0, 1294, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs != 2)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
      values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
    }
    __pyx_v_c = values[0];
    __pyx_v_t = values[1];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("_split_segment_at_t", 1, 2, 2, __pyx_nargs); __PYX_ERR(0, 1294, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools._split_segment_at_t", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_82_split_segment_at_t(__pyx_self, __pyx_v_c, __pyx_v_t);

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_82_split_segment_at_t(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_c, PyObject *__pyx_v_t) {
  PyObject *__pyx_v_s = NULL;
  PyObject *__pyx_v_e = NULL;
  PyObject *__pyx_v_midpoint = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  Py_ssize_t __pyx_t_1;
  int __pyx_t_2;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  PyObject *(*__pyx_t_6)(PyObject *);
  int __pyx_t_7;
  PyObject *__pyx_t_8 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("_split_segment_at_t", 1);

  /* "fontTools/misc/bezierTools.py":1295
 * 
 * def _split_segment_at_t(c, t):
 *     if len(c) == 2:             # <<<<<<<<<<<<<<
 *         s, e = c
 *         midpoint = linePointAtT(s, e, t)
 */
  __pyx_t_1 = PyObject_Length(__pyx_v_c); if (unlikely(__pyx_t_1 == ((Py_ssize_t)-1))) __PYX_ERR(0, 1295, __pyx_L1_error)
  __pyx_t_2 = (__pyx_t_1 == 2);
  if (__pyx_t_2) {

    /* "fontTools/misc/bezierTools.py":1296
 * def _split_segment_at_t(c, t):
 *     if len(c) == 2:
 *         s, e = c             # <<<<<<<<<<<<<<
 *         midpoint = linePointAtT(s, e, t)
 *         return [(s, midpoint), (midpoint, e)]
 */
    if ((likely(PyTuple_CheckExact(__pyx_v_c))) || (PyList_CheckExact(__pyx_v_c))) {
      PyObject* sequence = __pyx_v_c;
      Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
      if (unlikely(size != 2)) {
        if (size > 2) __Pyx_RaiseTooManyValuesError(2);
        else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
        __PYX_ERR(0, 1296, __pyx_L1_error)
      }
      #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
      if (likely(PyTuple_CheckExact(sequence))) {
        __pyx_t_3 = PyTuple_GET_ITEM(sequence, 0); 
        __pyx_t_4 = PyTuple_GET_ITEM(sequence, 1); 
      } else {
        __pyx_t_3 = PyList_GET_ITEM(sequence, 0); 
        __pyx_t_4 = PyList_GET_ITEM(sequence, 1); 
      }
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_INCREF(__pyx_t_4);
      #else
      __pyx_t_3 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1296, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
      __pyx_t_4 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1296, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_4);
      #endif
    } else {
      Py_ssize_t index = -1;
      __pyx_t_5 = PyObject_GetIter(__pyx_v_c); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1296, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_5);
      __pyx_t_6 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_5);
      index = 0; __pyx_t_3 = __pyx_t_6(__pyx_t_5); if (unlikely(!__pyx_t_3)) goto __pyx_L4_unpacking_failed;
      __Pyx_GOTREF(__pyx_t_3);
      index = 1; __pyx_t_4 = __pyx_t_6(__pyx_t_5); if (unlikely(!__pyx_t_4)) goto __pyx_L4_unpacking_failed;
      __Pyx_GOTREF(__pyx_t_4);
      if (__Pyx_IternextUnpackEndCheck(__pyx_t_6(__pyx_t_5), 2) < 0) __PYX_ERR(0, 1296, __pyx_L1_error)
      __pyx_t_6 = NULL;
      __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
      goto __pyx_L5_unpacking_done;
      __pyx_L4_unpacking_failed:;
      __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
      __pyx_t_6 = NULL;
      if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
      __PYX_ERR(0, 1296, __pyx_L1_error)
      __pyx_L5_unpacking_done:;
    }
    __pyx_v_s = __pyx_t_3;
    __pyx_t_3 = 0;
    __pyx_v_e = __pyx_t_4;
    __pyx_t_4 = 0;

    /* "fontTools/misc/bezierTools.py":1297
 *     if len(c) == 2:
 *         s, e = c
 *         midpoint = linePointAtT(s, e, t)             # <<<<<<<<<<<<<<
 *         return [(s, midpoint), (midpoint, e)]
 *     if len(c) == 3:
 */
    __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_linePointAtT); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1297, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_5 = NULL;
    __pyx_t_7 = 0;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_3))) {
      __pyx_t_5 = PyMethod_GET_SELF(__pyx_t_3);
      if (likely(__pyx_t_5)) {
        PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_3);
        __Pyx_INCREF(__pyx_t_5);
        __Pyx_INCREF(function);
        __Pyx_DECREF_SET(__pyx_t_3, function);
        __pyx_t_7 = 1;
      }
    }
    #endif
    {
      PyObject *__pyx_callargs[4] = {__pyx_t_5, __pyx_v_s, __pyx_v_e, __pyx_v_t};
      __pyx_t_4 = __Pyx_PyObject_FastCall(__pyx_t_3, __pyx_callargs+1-__pyx_t_7, 3+__pyx_t_7);
      __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
      if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1297, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_4);
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    }
    __pyx_v_midpoint = __pyx_t_4;
    __pyx_t_4 = 0;

    /* "fontTools/misc/bezierTools.py":1298
 *         s, e = c
 *         midpoint = linePointAtT(s, e, t)
 *         return [(s, midpoint), (midpoint, e)]             # <<<<<<<<<<<<<<
 *     if len(c) == 3:
 *         return splitQuadraticAtT(*c, t)
 */
    __Pyx_XDECREF(__pyx_r);
    __pyx_t_4 = PyTuple_New(2); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1298, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_INCREF(__pyx_v_s);
    __Pyx_GIVEREF(__pyx_v_s);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_4, 0, __pyx_v_s)) __PYX_ERR(0, 1298, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_midpoint);
    __Pyx_GIVEREF(__pyx_v_midpoint);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_4, 1, __pyx_v_midpoint)) __PYX_ERR(0, 1298, __pyx_L1_error);
    __pyx_t_3 = PyTuple_New(2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1298, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_INCREF(__pyx_v_midpoint);
    __Pyx_GIVEREF(__pyx_v_midpoint);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_v_midpoint)) __PYX_ERR(0, 1298, __pyx_L1_error);
    __Pyx_INCREF(__pyx_v_e);
    __Pyx_GIVEREF(__pyx_v_e);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_v_e)) __PYX_ERR(0, 1298, __pyx_L1_error);
    __pyx_t_5 = PyList_New(2); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1298, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __Pyx_GIVEREF(__pyx_t_4);
    if (__Pyx_PyList_SET_ITEM(__pyx_t_5, 0, __pyx_t_4)) __PYX_ERR(0, 1298, __pyx_L1_error);
    __Pyx_GIVEREF(__pyx_t_3);
    if (__Pyx_PyList_SET_ITEM(__pyx_t_5, 1, __pyx_t_3)) __PYX_ERR(0, 1298, __pyx_L1_error);
    __pyx_t_4 = 0;
    __pyx_t_3 = 0;
    __pyx_r = __pyx_t_5;
    __pyx_t_5 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":1295
 * 
 * def _split_segment_at_t(c, t):
 *     if len(c) == 2:             # <<<<<<<<<<<<<<
 *         s, e = c
 *         midpoint = linePointAtT(s, e, t)
 */
  }

  /* "fontTools/misc/bezierTools.py":1299
 *         midpoint = linePointAtT(s, e, t)
 *         return [(s, midpoint), (midpoint, e)]
 *     if len(c) == 3:             # <<<<<<<<<<<<<<
 *         return splitQuadraticAtT(*c, t)
 *     elif len(c) == 4:
 */
  __pyx_t_1 = PyObject_Length(__pyx_v_c); if (unlikely(__pyx_t_1 == ((Py_ssize_t)-1))) __PYX_ERR(0, 1299, __pyx_L1_error)
  __pyx_t_2 = (__pyx_t_1 == 3);
  if (__pyx_t_2) {

    /* "fontTools/misc/bezierTools.py":1300
 *         return [(s, midpoint), (midpoint, e)]
 *     if len(c) == 3:
 *         return splitQuadraticAtT(*c, t)             # <<<<<<<<<<<<<<
 *     elif len(c) == 4:
 *         return splitCubicAtT(*c, t)
 */
    __Pyx_XDECREF(__pyx_r);
    __Pyx_GetModuleGlobalName(__pyx_t_5, __pyx_n_s_splitQuadraticAtT_2); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1300, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __pyx_t_3 = __Pyx_PySequence_Tuple(__pyx_v_c); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1300, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = PyTuple_New(1); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1300, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_INCREF(__pyx_v_t);
    __Pyx_GIVEREF(__pyx_v_t);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_4, 0, __pyx_v_t)) __PYX_ERR(0, 1300, __pyx_L1_error);
    __pyx_t_8 = PyNumber_Add(__pyx_t_3, __pyx_t_4); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1300, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __pyx_t_4 = __Pyx_PyObject_Call(__pyx_t_5, __pyx_t_8, NULL); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1300, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
    __pyx_r = __pyx_t_4;
    __pyx_t_4 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":1299
 *         midpoint = linePointAtT(s, e, t)
 *         return [(s, midpoint), (midpoint, e)]
 *     if len(c) == 3:             # <<<<<<<<<<<<<<
 *         return splitQuadraticAtT(*c, t)
 *     elif len(c) == 4:
 */
  }

  /* "fontTools/misc/bezierTools.py":1301
 *     if len(c) == 3:
 *         return splitQuadraticAtT(*c, t)
 *     elif len(c) == 4:             # <<<<<<<<<<<<<<
 *         return splitCubicAtT(*c, t)
 *     raise ValueError("Unknown curve degree")
 */
  __pyx_t_1 = PyObject_Length(__pyx_v_c); if (unlikely(__pyx_t_1 == ((Py_ssize_t)-1))) __PYX_ERR(0, 1301, __pyx_L1_error)
  __pyx_t_2 = (__pyx_t_1 == 4);
  if (__pyx_t_2) {

    /* "fontTools/misc/bezierTools.py":1302
 *         return splitQuadraticAtT(*c, t)
 *     elif len(c) == 4:
 *         return splitCubicAtT(*c, t)             # <<<<<<<<<<<<<<
 *     raise ValueError("Unknown curve degree")
 * 
 */
    __Pyx_XDECREF(__pyx_r);
    __Pyx_GetModuleGlobalName(__pyx_t_4, __pyx_n_s_splitCubicAtT_2); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1302, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_8 = __Pyx_PySequence_Tuple(__pyx_v_c); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1302, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    __pyx_t_5 = PyTuple_New(1); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1302, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __Pyx_INCREF(__pyx_v_t);
    __Pyx_GIVEREF(__pyx_v_t);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_v_t)) __PYX_ERR(0, 1302, __pyx_L1_error);
    __pyx_t_3 = PyNumber_Add(__pyx_t_8, __pyx_t_5); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1302, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __pyx_t_5 = __Pyx_PyObject_Call(__pyx_t_4, __pyx_t_3, NULL); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1302, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_r = __pyx_t_5;
    __pyx_t_5 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":1301
 *     if len(c) == 3:
 *         return splitQuadraticAtT(*c, t)
 *     elif len(c) == 4:             # <<<<<<<<<<<<<<
 *         return splitCubicAtT(*c, t)
 *     raise ValueError("Unknown curve degree")
 */
  }

  /* "fontTools/misc/bezierTools.py":1303
 *     elif len(c) == 4:
 *         return splitCubicAtT(*c, t)
 *     raise ValueError("Unknown curve degree")             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_t_5 = __Pyx_PyObject_Call(__pyx_builtin_ValueError, __pyx_tuple__4, NULL); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1303, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_Raise(__pyx_t_5, 0, 0, 0);
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  __PYX_ERR(0, 1303, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":1294
 * 
 * 
 * def _split_segment_at_t(c, t):             # <<<<<<<<<<<<<<
 *     if len(c) == 2:
 *         s, e = c
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_8);
  __Pyx_AddTraceback("fontTools.misc.bezierTools._split_segment_at_t", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_s);
  __Pyx_XDECREF(__pyx_v_e);
  __Pyx_XDECREF(__pyx_v_midpoint);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1306
 * 
 * 
 * def _curve_curve_intersections_t(             # <<<<<<<<<<<<<<
 *     curve1, curve2, precision=1e-3, range1=None, range2=None
 * ):
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_85_curve_curve_intersections_t(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_84_curve_curve_intersections_t, "_curve_curve_intersections_t(curve1, curve2, precision=1e-3, range1=None, range2=None)");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_85_curve_curve_intersections_t = {"_curve_curve_intersections_t", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_85_curve_curve_intersections_t, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_84_curve_curve_intersections_t};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_85_curve_curve_intersections_t(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_curve1 = 0;
  PyObject *__pyx_v_curve2 = 0;
  PyObject *__pyx_v_precision = 0;
  PyObject *__pyx_v_range1 = 0;
  PyObject *__pyx_v_range2 = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[5] = {0,0,0,0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("_curve_curve_intersections_t (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_curve1,&__pyx_n_s_curve2,&__pyx_n_s_precision,&__pyx_n_s_range1,&__pyx_n_s_range2,0};
    values[2] = __Pyx_Arg_NewRef_FASTCALL(((PyObject *)((PyObject*)__pyx_float_1eneg_3)));

    /* "fontTools/misc/bezierTools.py":1307
 * 
 * def _curve_curve_intersections_t(
 *     curve1, curve2, precision=1e-3, range1=None, range2=None             # <<<<<<<<<<<<<<
 * ):
 *     bounds1 = _curve_bounds(curve1)
 */
    values[3] = __Pyx_Arg_NewRef_FASTCALL(((PyObject *)Py_None));
    values[4] = __Pyx_Arg_NewRef_FASTCALL(((PyObject *)Py_None));
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  5: values[4] = __Pyx_Arg_FASTCALL(__pyx_args, 4);
        CYTHON_FALLTHROUGH;
        case  4: values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_curve1)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1306, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_curve2)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[1]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1306, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("_curve_curve_intersections_t", 0, 2, 5, 1); __PYX_ERR(0, 1306, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (kw_args > 0) {
          PyObject* value = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_precision);
          if (value) { values[2] = __Pyx_Arg_NewRef_FASTCALL(value); kw_args--; }
          else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1306, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  3:
        if (kw_args > 0) {
          PyObject* value = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_range1);
          if (value) { values[3] = __Pyx_Arg_NewRef_FASTCALL(value); kw_args--; }
          else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1306, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  4:
        if (kw_args > 0) {
          PyObject* value = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_range2);
          if (value) { values[4] = __Pyx_Arg_NewRef_FASTCALL(value); kw_args--; }
          else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1306, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "_curve_curve_intersections_t") < 0)) __PYX_ERR(0, 1306, __pyx_L3_error)
      }
    } else {
      switch (__pyx_nargs) {
        case  5: values[4] = __Pyx_Arg_FASTCALL(__pyx_args, 4);
        CYTHON_FALLTHROUGH;
        case  4: values[3] = __Pyx_Arg_FASTCALL(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = __Pyx_Arg_FASTCALL(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        break;
        default: goto __pyx_L5_argtuple_error;
      }
    }
    __pyx_v_curve1 = values[0];
    __pyx_v_curve2 = values[1];
    __pyx_v_precision = values[2];
    __pyx_v_range1 = values[3];
    __pyx_v_range2 = values[4];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("_curve_curve_intersections_t", 0, 2, 5, __pyx_nargs); __PYX_ERR(0, 1306, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools._curve_curve_intersections_t", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_84_curve_curve_intersections_t(__pyx_self, __pyx_v_curve1, __pyx_v_curve2, __pyx_v_precision, __pyx_v_range1, __pyx_v_range2);

  /* "fontTools/misc/bezierTools.py":1306
 * 
 * 
 * def _curve_curve_intersections_t(             # <<<<<<<<<<<<<<
 *     curve1, curve2, precision=1e-3, range1=None, range2=None
 * ):
 */

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1322
 *         return []
 * 
 *     def midpoint(r):             # <<<<<<<<<<<<<<
 *         return 0.5 * (r[0] + r[1])
 * 
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_1midpoint(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_1midpoint = {"midpoint", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_1midpoint, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_1midpoint(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_r = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[1] = {0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("midpoint (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_r,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_r)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1322, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "midpoint") < 0)) __PYX_ERR(0, 1322, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs != 1)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
    }
    __pyx_v_r = values[0];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("midpoint", 1, 1, 1, __pyx_nargs); __PYX_ERR(0, 1322, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools._curve_curve_intersections_t.midpoint", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_midpoint(__pyx_self, __pyx_v_r);

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_midpoint(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_r) {
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("midpoint", 1);

  /* "fontTools/misc/bezierTools.py":1323
 * 
 *     def midpoint(r):
 *         return 0.5 * (r[0] + r[1])             # <<<<<<<<<<<<<<
 * 
 *     # If they do overlap but they're tiny, approximate
 */
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = __Pyx_GetItemInt(__pyx_v_r, 0, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1323, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __Pyx_GetItemInt(__pyx_v_r, 1, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1323, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = PyNumber_Add(__pyx_t_1, __pyx_t_2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1323, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = PyNumber_Multiply(__pyx_float_0_5, __pyx_t_3); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1323, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_r = __pyx_t_2;
  __pyx_t_2 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":1322
 *         return []
 * 
 *     def midpoint(r):             # <<<<<<<<<<<<<<
 *         return 0.5 * (r[0] + r[1])
 * 
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_AddTraceback("fontTools.misc.bezierTools._curve_curve_intersections_t.midpoint", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1359
 *     )
 * 
 *     unique_key = lambda ts: (int(ts[0] / precision), int(ts[1] / precision))             # <<<<<<<<<<<<<<
 *     seen = set()
 *     unique_values = []
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_2lambda3(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_2lambda3 = {"lambda3", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_2lambda3, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_2lambda3(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_ts = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[1] = {0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("lambda3 (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_ts,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_ts)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1359, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "lambda3") < 0)) __PYX_ERR(0, 1359, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs != 1)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
    }
    __pyx_v_ts = values[0];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("lambda3", 1, 1, 1, __pyx_nargs); __PYX_ERR(0, 1359, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools._curve_curve_intersections_t.lambda3", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_lambda_funcdef_lambda3(__pyx_self, __pyx_v_ts);

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_lambda_funcdef_lambda3(PyObject *__pyx_self, PyObject *__pyx_v_ts) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t *__pyx_cur_scope;
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t *__pyx_outer_scope;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("lambda3", 1);
  __pyx_outer_scope = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t *) __Pyx_CyFunction_GetClosure(__pyx_self);
  __pyx_cur_scope = __pyx_outer_scope;
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = __Pyx_GetItemInt(__pyx_v_ts, 0, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1359, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  if (unlikely(!__pyx_cur_scope->__pyx_v_precision)) { __Pyx_RaiseClosureNameError("precision"); __PYX_ERR(0, 1359, __pyx_L1_error) }
  __pyx_t_2 = __Pyx_PyNumber_Divide(__pyx_t_1, __pyx_cur_scope->__pyx_v_precision); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1359, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = __Pyx_PyNumber_Int(__pyx_t_2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1359, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = __Pyx_GetItemInt(__pyx_v_ts, 1, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1359, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (unlikely(!__pyx_cur_scope->__pyx_v_precision)) { __Pyx_RaiseClosureNameError("precision"); __PYX_ERR(0, 1359, __pyx_L1_error) }
  __pyx_t_3 = __Pyx_PyNumber_Divide(__pyx_t_2, __pyx_cur_scope->__pyx_v_precision); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1359, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = __Pyx_PyNumber_Int(__pyx_t_3); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1359, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = PyTuple_New(2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1359, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_GIVEREF(__pyx_t_1);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_1)) __PYX_ERR(0, 1359, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_2);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_t_2)) __PYX_ERR(0, 1359, __pyx_L1_error);
  __pyx_t_1 = 0;
  __pyx_t_2 = 0;
  __pyx_r = __pyx_t_3;
  __pyx_t_3 = 0;
  goto __pyx_L0;

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_AddTraceback("fontTools.misc.bezierTools._curve_curve_intersections_t.lambda3", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1306
 * 
 * 
 * def _curve_curve_intersections_t(             # <<<<<<<<<<<<<<
 *     curve1, curve2, precision=1e-3, range1=None, range2=None
 * ):
 */

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_84_curve_curve_intersections_t(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_curve1, PyObject *__pyx_v_curve2, PyObject *__pyx_v_precision, PyObject *__pyx_v_range1, PyObject *__pyx_v_range2) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t *__pyx_cur_scope;
  PyObject *__pyx_v_bounds1 = NULL;
  PyObject *__pyx_v_bounds2 = NULL;
  PyObject *__pyx_v_intersects = NULL;
  CYTHON_UNUSED PyObject *__pyx_v__ = NULL;
  PyObject *__pyx_v_midpoint = 0;
  PyObject *__pyx_v_c11 = NULL;
  PyObject *__pyx_v_c12 = NULL;
  PyObject *__pyx_v_c11_range = NULL;
  PyObject *__pyx_v_c12_range = NULL;
  PyObject *__pyx_v_c21 = NULL;
  PyObject *__pyx_v_c22 = NULL;
  PyObject *__pyx_v_c21_range = NULL;
  PyObject *__pyx_v_c22_range = NULL;
  PyObject *__pyx_v_found = NULL;
  PyObject *__pyx_v_unique_key = NULL;
  PyObject *__pyx_v_seen = NULL;
  PyObject *__pyx_v_unique_values = NULL;
  PyObject *__pyx_v_ts = NULL;
  PyObject *__pyx_v_key = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  int __pyx_t_4;
  int __pyx_t_5;
  int __pyx_t_6;
  PyObject *__pyx_t_7 = NULL;
  PyObject *(*__pyx_t_8)(PyObject *);
  int __pyx_t_9;
  Py_ssize_t __pyx_t_10;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("_curve_curve_intersections_t", 0);
  __pyx_cur_scope = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t *)__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t(__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t, __pyx_empty_tuple, NULL);
  if (unlikely(!__pyx_cur_scope)) {
    __pyx_cur_scope = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t *)Py_None);
    __Pyx_INCREF(Py_None);
    __PYX_ERR(0, 1306, __pyx_L1_error)
  } else {
    __Pyx_GOTREF((PyObject *)__pyx_cur_scope);
  }
  __pyx_cur_scope->__pyx_v_precision = __pyx_v_precision;
  __Pyx_INCREF(__pyx_cur_scope->__pyx_v_precision);
  __Pyx_GIVEREF(__pyx_cur_scope->__pyx_v_precision);
  __Pyx_INCREF(__pyx_v_range1);
  __Pyx_INCREF(__pyx_v_range2);

  /* "fontTools/misc/bezierTools.py":1309
 *     curve1, curve2, precision=1e-3, range1=None, range2=None
 * ):
 *     bounds1 = _curve_bounds(curve1)             # <<<<<<<<<<<<<<
 *     bounds2 = _curve_bounds(curve2)
 * 
 */
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_curve_bounds); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1309, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = NULL;
  __pyx_t_4 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_2))) {
    __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_2);
    if (likely(__pyx_t_3)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_2);
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_2, function);
      __pyx_t_4 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[2] = {__pyx_t_3, __pyx_v_curve1};
    __pyx_t_1 = __Pyx_PyObject_FastCall(__pyx_t_2, __pyx_callargs+1-__pyx_t_4, 1+__pyx_t_4);
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1309, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  }
  __pyx_v_bounds1 = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1310
 * ):
 *     bounds1 = _curve_bounds(curve1)
 *     bounds2 = _curve_bounds(curve2)             # <<<<<<<<<<<<<<
 * 
 *     if not range1:
 */
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_curve_bounds); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1310, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = NULL;
  __pyx_t_4 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_2))) {
    __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_2);
    if (likely(__pyx_t_3)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_2);
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_2, function);
      __pyx_t_4 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[2] = {__pyx_t_3, __pyx_v_curve2};
    __pyx_t_1 = __Pyx_PyObject_FastCall(__pyx_t_2, __pyx_callargs+1-__pyx_t_4, 1+__pyx_t_4);
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1310, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  }
  __pyx_v_bounds2 = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1312
 *     bounds2 = _curve_bounds(curve2)
 * 
 *     if not range1:             # <<<<<<<<<<<<<<
 *         range1 = (0.0, 1.0)
 *     if not range2:
 */
  __pyx_t_5 = __Pyx_PyObject_IsTrue(__pyx_v_range1); if (unlikely((__pyx_t_5 < 0))) __PYX_ERR(0, 1312, __pyx_L1_error)
  __pyx_t_6 = (!__pyx_t_5);
  if (__pyx_t_6) {

    /* "fontTools/misc/bezierTools.py":1313
 * 
 *     if not range1:
 *         range1 = (0.0, 1.0)             # <<<<<<<<<<<<<<
 *     if not range2:
 *         range2 = (0.0, 1.0)
 */
    __Pyx_INCREF(__pyx_tuple__5);
    __Pyx_DECREF_SET(__pyx_v_range1, __pyx_tuple__5);

    /* "fontTools/misc/bezierTools.py":1312
 *     bounds2 = _curve_bounds(curve2)
 * 
 *     if not range1:             # <<<<<<<<<<<<<<
 *         range1 = (0.0, 1.0)
 *     if not range2:
 */
  }

  /* "fontTools/misc/bezierTools.py":1314
 *     if not range1:
 *         range1 = (0.0, 1.0)
 *     if not range2:             # <<<<<<<<<<<<<<
 *         range2 = (0.0, 1.0)
 * 
 */
  __pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_v_range2); if (unlikely((__pyx_t_6 < 0))) __PYX_ERR(0, 1314, __pyx_L1_error)
  __pyx_t_5 = (!__pyx_t_6);
  if (__pyx_t_5) {

    /* "fontTools/misc/bezierTools.py":1315
 *         range1 = (0.0, 1.0)
 *     if not range2:
 *         range2 = (0.0, 1.0)             # <<<<<<<<<<<<<<
 * 
 *     # If bounds don't intersect, go home
 */
    __Pyx_INCREF(__pyx_tuple__5);
    __Pyx_DECREF_SET(__pyx_v_range2, __pyx_tuple__5);

    /* "fontTools/misc/bezierTools.py":1314
 *     if not range1:
 *         range1 = (0.0, 1.0)
 *     if not range2:             # <<<<<<<<<<<<<<
 *         range2 = (0.0, 1.0)
 * 
 */
  }

  /* "fontTools/misc/bezierTools.py":1318
 * 
 *     # If bounds don't intersect, go home
 *     intersects, _ = sectRect(bounds1, bounds2)             # <<<<<<<<<<<<<<
 *     if not intersects:
 *         return []
 */
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_sectRect); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1318, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = NULL;
  __pyx_t_4 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_2))) {
    __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_2);
    if (likely(__pyx_t_3)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_2);
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_2, function);
      __pyx_t_4 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[3] = {__pyx_t_3, __pyx_v_bounds1, __pyx_v_bounds2};
    __pyx_t_1 = __Pyx_PyObject_FastCall(__pyx_t_2, __pyx_callargs+1-__pyx_t_4, 2+__pyx_t_4);
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1318, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  }
  if ((likely(PyTuple_CheckExact(__pyx_t_1))) || (PyList_CheckExact(__pyx_t_1))) {
    PyObject* sequence = __pyx_t_1;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 1318, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_3 = PyTuple_GET_ITEM(sequence, 1); 
    } else {
      __pyx_t_2 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_3 = PyList_GET_ITEM(sequence, 1); 
    }
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx_t_3);
    #else
    __pyx_t_2 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1318, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_3 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1318, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    #endif
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  } else {
    Py_ssize_t index = -1;
    __pyx_t_7 = PyObject_GetIter(__pyx_t_1); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1318, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_8 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_7);
    index = 0; __pyx_t_2 = __pyx_t_8(__pyx_t_7); if (unlikely(!__pyx_t_2)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    index = 1; __pyx_t_3 = __pyx_t_8(__pyx_t_7); if (unlikely(!__pyx_t_3)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_3);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_8(__pyx_t_7), 2) < 0) __PYX_ERR(0, 1318, __pyx_L1_error)
    __pyx_t_8 = NULL;
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    goto __pyx_L6_unpacking_done;
    __pyx_L5_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    __pyx_t_8 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 1318, __pyx_L1_error)
    __pyx_L6_unpacking_done:;
  }
  __pyx_v_intersects = __pyx_t_2;
  __pyx_t_2 = 0;
  __pyx_v__ = __pyx_t_3;
  __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1319
 *     # If bounds don't intersect, go home
 *     intersects, _ = sectRect(bounds1, bounds2)
 *     if not intersects:             # <<<<<<<<<<<<<<
 *         return []
 * 
 */
  __pyx_t_5 = __Pyx_PyObject_IsTrue(__pyx_v_intersects); if (unlikely((__pyx_t_5 < 0))) __PYX_ERR(0, 1319, __pyx_L1_error)
  __pyx_t_6 = (!__pyx_t_5);
  if (__pyx_t_6) {

    /* "fontTools/misc/bezierTools.py":1320
 *     intersects, _ = sectRect(bounds1, bounds2)
 *     if not intersects:
 *         return []             # <<<<<<<<<<<<<<
 * 
 *     def midpoint(r):
 */
    __Pyx_XDECREF(__pyx_r);
    __pyx_t_1 = PyList_New(0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1320, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_r = __pyx_t_1;
    __pyx_t_1 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":1319
 *     # If bounds don't intersect, go home
 *     intersects, _ = sectRect(bounds1, bounds2)
 *     if not intersects:             # <<<<<<<<<<<<<<
 *         return []
 * 
 */
  }

  /* "fontTools/misc/bezierTools.py":1322
 *         return []
 * 
 *     def midpoint(r):             # <<<<<<<<<<<<<<
 *         return 0.5 * (r[0] + r[1])
 * 
 */
  __pyx_t_1 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_1midpoint, 0, __pyx_n_s_curve_curve_intersections_t_loc, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__7)); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1322, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_v_midpoint = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1326
 * 
 *     # If they do overlap but they're tiny, approximate
 *     if rectArea(bounds1) < precision and rectArea(bounds2) < precision:             # <<<<<<<<<<<<<<
 *         return [(midpoint(range1), midpoint(range2))]
 * 
 */
  __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_rectArea); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1326, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_2 = NULL;
  __pyx_t_4 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_3))) {
    __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_3);
    if (likely(__pyx_t_2)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_3);
      __Pyx_INCREF(__pyx_t_2);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_3, function);
      __pyx_t_4 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[2] = {__pyx_t_2, __pyx_v_bounds1};
    __pyx_t_1 = __Pyx_PyObject_FastCall(__pyx_t_3, __pyx_callargs+1-__pyx_t_4, 1+__pyx_t_4);
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1326, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  }
  __pyx_t_3 = PyObject_RichCompare(__pyx_t_1, __pyx_cur_scope->__pyx_v_precision, Py_LT); __Pyx_XGOTREF(__pyx_t_3); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1326, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_5 = __Pyx_PyObject_IsTrue(__pyx_t_3); if (unlikely((__pyx_t_5 < 0))) __PYX_ERR(0, 1326, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  if (__pyx_t_5) {
  } else {
    __pyx_t_6 = __pyx_t_5;
    goto __pyx_L9_bool_binop_done;
  }
  __Pyx_GetModuleGlobalName(__pyx_t_1, __pyx_n_s_rectArea); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1326, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = NULL;
  __pyx_t_4 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_1))) {
    __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_1);
    if (likely(__pyx_t_2)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_1);
      __Pyx_INCREF(__pyx_t_2);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_1, function);
      __pyx_t_4 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[2] = {__pyx_t_2, __pyx_v_bounds2};
    __pyx_t_3 = __Pyx_PyObject_FastCall(__pyx_t_1, __pyx_callargs+1-__pyx_t_4, 1+__pyx_t_4);
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1326, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  }
  __pyx_t_1 = PyObject_RichCompare(__pyx_t_3, __pyx_cur_scope->__pyx_v_precision, Py_LT); __Pyx_XGOTREF(__pyx_t_1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1326, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_5 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely((__pyx_t_5 < 0))) __PYX_ERR(0, 1326, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_6 = __pyx_t_5;
  __pyx_L9_bool_binop_done:;
  if (__pyx_t_6) {

    /* "fontTools/misc/bezierTools.py":1327
 *     # If they do overlap but they're tiny, approximate
 *     if rectArea(bounds1) < precision and rectArea(bounds2) < precision:
 *         return [(midpoint(range1), midpoint(range2))]             # <<<<<<<<<<<<<<
 * 
 *     c11, c12 = _split_segment_at_t(curve1, 0.5)
 */
    __Pyx_XDECREF(__pyx_r);
    __pyx_t_1 = __pyx_pf_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_midpoint(__pyx_v_midpoint, __pyx_v_range1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1327, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_3 = __pyx_pf_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_midpoint(__pyx_v_midpoint, __pyx_v_range2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1327, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_2 = PyTuple_New(2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1327, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_GIVEREF(__pyx_t_1);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_t_1)) __PYX_ERR(0, 1327, __pyx_L1_error);
    __Pyx_GIVEREF(__pyx_t_3);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 1, __pyx_t_3)) __PYX_ERR(0, 1327, __pyx_L1_error);
    __pyx_t_1 = 0;
    __pyx_t_3 = 0;
    __pyx_t_3 = PyList_New(1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1327, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_GIVEREF(__pyx_t_2);
    if (__Pyx_PyList_SET_ITEM(__pyx_t_3, 0, __pyx_t_2)) __PYX_ERR(0, 1327, __pyx_L1_error);
    __pyx_t_2 = 0;
    __pyx_r = __pyx_t_3;
    __pyx_t_3 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":1326
 * 
 *     # If they do overlap but they're tiny, approximate
 *     if rectArea(bounds1) < precision and rectArea(bounds2) < precision:             # <<<<<<<<<<<<<<
 *         return [(midpoint(range1), midpoint(range2))]
 * 
 */
  }

  /* "fontTools/misc/bezierTools.py":1329
 *         return [(midpoint(range1), midpoint(range2))]
 * 
 *     c11, c12 = _split_segment_at_t(curve1, 0.5)             # <<<<<<<<<<<<<<
 *     c11_range = (range1[0], midpoint(range1))
 *     c12_range = (midpoint(range1), range1[1])
 */
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_split_segment_at_t); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1329, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_1 = NULL;
  __pyx_t_4 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_2))) {
    __pyx_t_1 = PyMethod_GET_SELF(__pyx_t_2);
    if (likely(__pyx_t_1)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_2);
      __Pyx_INCREF(__pyx_t_1);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_2, function);
      __pyx_t_4 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[3] = {__pyx_t_1, __pyx_v_curve1, __pyx_float_0_5};
    __pyx_t_3 = __Pyx_PyObject_FastCall(__pyx_t_2, __pyx_callargs+1-__pyx_t_4, 2+__pyx_t_4);
    __Pyx_XDECREF(__pyx_t_1); __pyx_t_1 = 0;
    if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1329, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  }
  if ((likely(PyTuple_CheckExact(__pyx_t_3))) || (PyList_CheckExact(__pyx_t_3))) {
    PyObject* sequence = __pyx_t_3;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 1329, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 1); 
    } else {
      __pyx_t_2 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_1 = PyList_GET_ITEM(sequence, 1); 
    }
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx_t_1);
    #else
    __pyx_t_2 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1329, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1329, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    #endif
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  } else {
    Py_ssize_t index = -1;
    __pyx_t_7 = PyObject_GetIter(__pyx_t_3); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1329, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_8 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_7);
    index = 0; __pyx_t_2 = __pyx_t_8(__pyx_t_7); if (unlikely(!__pyx_t_2)) goto __pyx_L11_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    index = 1; __pyx_t_1 = __pyx_t_8(__pyx_t_7); if (unlikely(!__pyx_t_1)) goto __pyx_L11_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_8(__pyx_t_7), 2) < 0) __PYX_ERR(0, 1329, __pyx_L1_error)
    __pyx_t_8 = NULL;
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    goto __pyx_L12_unpacking_done;
    __pyx_L11_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    __pyx_t_8 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 1329, __pyx_L1_error)
    __pyx_L12_unpacking_done:;
  }
  __pyx_v_c11 = __pyx_t_2;
  __pyx_t_2 = 0;
  __pyx_v_c12 = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1330
 * 
 *     c11, c12 = _split_segment_at_t(curve1, 0.5)
 *     c11_range = (range1[0], midpoint(range1))             # <<<<<<<<<<<<<<
 *     c12_range = (midpoint(range1), range1[1])
 * 
 */
  __pyx_t_3 = __Pyx_GetItemInt(__pyx_v_range1, 0, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1330, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_1 = __pyx_pf_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_midpoint(__pyx_v_midpoint, __pyx_v_range1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1330, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = PyTuple_New(2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1330, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_GIVEREF(__pyx_t_3);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_t_3)) __PYX_ERR(0, 1330, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_1);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 1, __pyx_t_1)) __PYX_ERR(0, 1330, __pyx_L1_error);
  __pyx_t_3 = 0;
  __pyx_t_1 = 0;
  __pyx_v_c11_range = ((PyObject*)__pyx_t_2);
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1331
 *     c11, c12 = _split_segment_at_t(curve1, 0.5)
 *     c11_range = (range1[0], midpoint(range1))
 *     c12_range = (midpoint(range1), range1[1])             # <<<<<<<<<<<<<<
 * 
 *     c21, c22 = _split_segment_at_t(curve2, 0.5)
 */
  __pyx_t_2 = __pyx_pf_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_midpoint(__pyx_v_midpoint, __pyx_v_range1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1331, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_1 = __Pyx_GetItemInt(__pyx_v_range1, 1, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1331, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_3 = PyTuple_New(2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1331, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_GIVEREF(__pyx_t_2);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_2)) __PYX_ERR(0, 1331, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_1);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_t_1)) __PYX_ERR(0, 1331, __pyx_L1_error);
  __pyx_t_2 = 0;
  __pyx_t_1 = 0;
  __pyx_v_c12_range = ((PyObject*)__pyx_t_3);
  __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1333
 *     c12_range = (midpoint(range1), range1[1])
 * 
 *     c21, c22 = _split_segment_at_t(curve2, 0.5)             # <<<<<<<<<<<<<<
 *     c21_range = (range2[0], midpoint(range2))
 *     c22_range = (midpoint(range2), range2[1])
 */
  __Pyx_GetModuleGlobalName(__pyx_t_1, __pyx_n_s_split_segment_at_t); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1333, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = NULL;
  __pyx_t_4 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_1))) {
    __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_1);
    if (likely(__pyx_t_2)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_1);
      __Pyx_INCREF(__pyx_t_2);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_1, function);
      __pyx_t_4 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[3] = {__pyx_t_2, __pyx_v_curve2, __pyx_float_0_5};
    __pyx_t_3 = __Pyx_PyObject_FastCall(__pyx_t_1, __pyx_callargs+1-__pyx_t_4, 2+__pyx_t_4);
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1333, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  }
  if ((likely(PyTuple_CheckExact(__pyx_t_3))) || (PyList_CheckExact(__pyx_t_3))) {
    PyObject* sequence = __pyx_t_3;
    Py_ssize_t size = __Pyx_PySequence_SIZE(sequence);
    if (unlikely(size != 2)) {
      if (size > 2) __Pyx_RaiseTooManyValuesError(2);
      else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
      __PYX_ERR(0, 1333, __pyx_L1_error)
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (likely(PyTuple_CheckExact(sequence))) {
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_2 = PyTuple_GET_ITEM(sequence, 1); 
    } else {
      __pyx_t_1 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_2 = PyList_GET_ITEM(sequence, 1); 
    }
    __Pyx_INCREF(__pyx_t_1);
    __Pyx_INCREF(__pyx_t_2);
    #else
    __pyx_t_1 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1333, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1333, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    #endif
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  } else {
    Py_ssize_t index = -1;
    __pyx_t_7 = PyObject_GetIter(__pyx_t_3); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1333, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_8 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_7);
    index = 0; __pyx_t_1 = __pyx_t_8(__pyx_t_7); if (unlikely(!__pyx_t_1)) goto __pyx_L13_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    index = 1; __pyx_t_2 = __pyx_t_8(__pyx_t_7); if (unlikely(!__pyx_t_2)) goto __pyx_L13_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_8(__pyx_t_7), 2) < 0) __PYX_ERR(0, 1333, __pyx_L1_error)
    __pyx_t_8 = NULL;
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    goto __pyx_L14_unpacking_done;
    __pyx_L13_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    __pyx_t_8 = NULL;
    if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index);
    __PYX_ERR(0, 1333, __pyx_L1_error)
    __pyx_L14_unpacking_done:;
  }
  __pyx_v_c21 = __pyx_t_1;
  __pyx_t_1 = 0;
  __pyx_v_c22 = __pyx_t_2;
  __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1334
 * 
 *     c21, c22 = _split_segment_at_t(curve2, 0.5)
 *     c21_range = (range2[0], midpoint(range2))             # <<<<<<<<<<<<<<
 *     c22_range = (midpoint(range2), range2[1])
 * 
 */
  __pyx_t_3 = __Pyx_GetItemInt(__pyx_v_range2, 0, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1334, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_2 = __pyx_pf_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_midpoint(__pyx_v_midpoint, __pyx_v_range2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1334, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_1 = PyTuple_New(2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1334, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_GIVEREF(__pyx_t_3);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_t_3)) __PYX_ERR(0, 1334, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_2);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_t_2)) __PYX_ERR(0, 1334, __pyx_L1_error);
  __pyx_t_3 = 0;
  __pyx_t_2 = 0;
  __pyx_v_c21_range = ((PyObject*)__pyx_t_1);
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1335
 *     c21, c22 = _split_segment_at_t(curve2, 0.5)
 *     c21_range = (range2[0], midpoint(range2))
 *     c22_range = (midpoint(range2), range2[1])             # <<<<<<<<<<<<<<
 * 
 *     found = []
 */
  __pyx_t_1 = __pyx_pf_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_midpoint(__pyx_v_midpoint, __pyx_v_range2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1335, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __Pyx_GetItemInt(__pyx_v_range2, 1, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1335, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = PyTuple_New(2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1335, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_GIVEREF(__pyx_t_1);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_1)) __PYX_ERR(0, 1335, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_2);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_t_2)) __PYX_ERR(0, 1335, __pyx_L1_error);
  __pyx_t_1 = 0;
  __pyx_t_2 = 0;
  __pyx_v_c22_range = ((PyObject*)__pyx_t_3);
  __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1337
 *     c22_range = (midpoint(range2), range2[1])
 * 
 *     found = []             # <<<<<<<<<<<<<<
 *     found.extend(
 *         _curve_curve_intersections_t(
 */
  __pyx_t_3 = PyList_New(0); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1337, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_v_found = ((PyObject*)__pyx_t_3);
  __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1339
 *     found = []
 *     found.extend(
 *         _curve_curve_intersections_t(             # <<<<<<<<<<<<<<
 *             c11, c21, precision, range1=c11_range, range2=c21_range
 *         )
 */
  __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_curve_curve_intersections_t); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1339, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);

  /* "fontTools/misc/bezierTools.py":1340
 *     found.extend(
 *         _curve_curve_intersections_t(
 *             c11, c21, precision, range1=c11_range, range2=c21_range             # <<<<<<<<<<<<<<
 *         )
 *     )
 */
  __pyx_t_2 = PyTuple_New(3); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1339, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_INCREF(__pyx_v_c11);
  __Pyx_GIVEREF(__pyx_v_c11);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_v_c11)) __PYX_ERR(0, 1339, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_c21);
  __Pyx_GIVEREF(__pyx_v_c21);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 1, __pyx_v_c21)) __PYX_ERR(0, 1339, __pyx_L1_error);
  __Pyx_INCREF(__pyx_cur_scope->__pyx_v_precision);
  __Pyx_GIVEREF(__pyx_cur_scope->__pyx_v_precision);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 2, __pyx_cur_scope->__pyx_v_precision)) __PYX_ERR(0, 1339, __pyx_L1_error);
  __pyx_t_1 = __Pyx_PyDict_NewPresized(2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1340, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  if (PyDict_SetItem(__pyx_t_1, __pyx_n_s_range1, __pyx_v_c11_range) < 0) __PYX_ERR(0, 1340, __pyx_L1_error)
  if (PyDict_SetItem(__pyx_t_1, __pyx_n_s_range2, __pyx_v_c21_range) < 0) __PYX_ERR(0, 1340, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":1339
 *     found = []
 *     found.extend(
 *         _curve_curve_intersections_t(             # <<<<<<<<<<<<<<
 *             c11, c21, precision, range1=c11_range, range2=c21_range
 *         )
 */
  __pyx_t_7 = __Pyx_PyObject_Call(__pyx_t_3, __pyx_t_2, __pyx_t_1); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1339, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_7);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1338
 * 
 *     found = []
 *     found.extend(             # <<<<<<<<<<<<<<
 *         _curve_curve_intersections_t(
 *             c11, c21, precision, range1=c11_range, range2=c21_range
 */
  __pyx_t_9 = __Pyx_PyList_Extend(__pyx_v_found, __pyx_t_7); if (unlikely(__pyx_t_9 == ((int)-1))) __PYX_ERR(0, 1338, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;

  /* "fontTools/misc/bezierTools.py":1344
 *     )
 *     found.extend(
 *         _curve_curve_intersections_t(             # <<<<<<<<<<<<<<
 *             c12, c21, precision, range1=c12_range, range2=c21_range
 *         )
 */
  __Pyx_GetModuleGlobalName(__pyx_t_7, __pyx_n_s_curve_curve_intersections_t); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1344, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_7);

  /* "fontTools/misc/bezierTools.py":1345
 *     found.extend(
 *         _curve_curve_intersections_t(
 *             c12, c21, precision, range1=c12_range, range2=c21_range             # <<<<<<<<<<<<<<
 *         )
 *     )
 */
  __pyx_t_1 = PyTuple_New(3); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1344, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_INCREF(__pyx_v_c12);
  __Pyx_GIVEREF(__pyx_v_c12);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_v_c12)) __PYX_ERR(0, 1344, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_c21);
  __Pyx_GIVEREF(__pyx_v_c21);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_v_c21)) __PYX_ERR(0, 1344, __pyx_L1_error);
  __Pyx_INCREF(__pyx_cur_scope->__pyx_v_precision);
  __Pyx_GIVEREF(__pyx_cur_scope->__pyx_v_precision);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 2, __pyx_cur_scope->__pyx_v_precision)) __PYX_ERR(0, 1344, __pyx_L1_error);
  __pyx_t_2 = __Pyx_PyDict_NewPresized(2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1345, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_t_2, __pyx_n_s_range1, __pyx_v_c12_range) < 0) __PYX_ERR(0, 1345, __pyx_L1_error)
  if (PyDict_SetItem(__pyx_t_2, __pyx_n_s_range2, __pyx_v_c21_range) < 0) __PYX_ERR(0, 1345, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":1344
 *     )
 *     found.extend(
 *         _curve_curve_intersections_t(             # <<<<<<<<<<<<<<
 *             c12, c21, precision, range1=c12_range, range2=c21_range
 *         )
 */
  __pyx_t_3 = __Pyx_PyObject_Call(__pyx_t_7, __pyx_t_1, __pyx_t_2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1344, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1343
 *         )
 *     )
 *     found.extend(             # <<<<<<<<<<<<<<
 *         _curve_curve_intersections_t(
 *             c12, c21, precision, range1=c12_range, range2=c21_range
 */
  __pyx_t_9 = __Pyx_PyList_Extend(__pyx_v_found, __pyx_t_3); if (unlikely(__pyx_t_9 == ((int)-1))) __PYX_ERR(0, 1343, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1349
 *     )
 *     found.extend(
 *         _curve_curve_intersections_t(             # <<<<<<<<<<<<<<
 *             c11, c22, precision, range1=c11_range, range2=c22_range
 *         )
 */
  __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_curve_curve_intersections_t); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1349, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);

  /* "fontTools/misc/bezierTools.py":1350
 *     found.extend(
 *         _curve_curve_intersections_t(
 *             c11, c22, precision, range1=c11_range, range2=c22_range             # <<<<<<<<<<<<<<
 *         )
 *     )
 */
  __pyx_t_2 = PyTuple_New(3); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1349, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_INCREF(__pyx_v_c11);
  __Pyx_GIVEREF(__pyx_v_c11);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_v_c11)) __PYX_ERR(0, 1349, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_c22);
  __Pyx_GIVEREF(__pyx_v_c22);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 1, __pyx_v_c22)) __PYX_ERR(0, 1349, __pyx_L1_error);
  __Pyx_INCREF(__pyx_cur_scope->__pyx_v_precision);
  __Pyx_GIVEREF(__pyx_cur_scope->__pyx_v_precision);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_2, 2, __pyx_cur_scope->__pyx_v_precision)) __PYX_ERR(0, 1349, __pyx_L1_error);
  __pyx_t_1 = __Pyx_PyDict_NewPresized(2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1350, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  if (PyDict_SetItem(__pyx_t_1, __pyx_n_s_range1, __pyx_v_c11_range) < 0) __PYX_ERR(0, 1350, __pyx_L1_error)
  if (PyDict_SetItem(__pyx_t_1, __pyx_n_s_range2, __pyx_v_c22_range) < 0) __PYX_ERR(0, 1350, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":1349
 *     )
 *     found.extend(
 *         _curve_curve_intersections_t(             # <<<<<<<<<<<<<<
 *             c11, c22, precision, range1=c11_range, range2=c22_range
 *         )
 */
  __pyx_t_7 = __Pyx_PyObject_Call(__pyx_t_3, __pyx_t_2, __pyx_t_1); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1349, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_7);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1348
 *         )
 *     )
 *     found.extend(             # <<<<<<<<<<<<<<
 *         _curve_curve_intersections_t(
 *             c11, c22, precision, range1=c11_range, range2=c22_range
 */
  __pyx_t_9 = __Pyx_PyList_Extend(__pyx_v_found, __pyx_t_7); if (unlikely(__pyx_t_9 == ((int)-1))) __PYX_ERR(0, 1348, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;

  /* "fontTools/misc/bezierTools.py":1354
 *     )
 *     found.extend(
 *         _curve_curve_intersections_t(             # <<<<<<<<<<<<<<
 *             c12, c22, precision, range1=c12_range, range2=c22_range
 *         )
 */
  __Pyx_GetModuleGlobalName(__pyx_t_7, __pyx_n_s_curve_curve_intersections_t); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1354, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_7);

  /* "fontTools/misc/bezierTools.py":1355
 *     found.extend(
 *         _curve_curve_intersections_t(
 *             c12, c22, precision, range1=c12_range, range2=c22_range             # <<<<<<<<<<<<<<
 *         )
 *     )
 */
  __pyx_t_1 = PyTuple_New(3); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1354, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_INCREF(__pyx_v_c12);
  __Pyx_GIVEREF(__pyx_v_c12);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_v_c12)) __PYX_ERR(0, 1354, __pyx_L1_error);
  __Pyx_INCREF(__pyx_v_c22);
  __Pyx_GIVEREF(__pyx_v_c22);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_v_c22)) __PYX_ERR(0, 1354, __pyx_L1_error);
  __Pyx_INCREF(__pyx_cur_scope->__pyx_v_precision);
  __Pyx_GIVEREF(__pyx_cur_scope->__pyx_v_precision);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 2, __pyx_cur_scope->__pyx_v_precision)) __PYX_ERR(0, 1354, __pyx_L1_error);
  __pyx_t_2 = __Pyx_PyDict_NewPresized(2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1355, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_t_2, __pyx_n_s_range1, __pyx_v_c12_range) < 0) __PYX_ERR(0, 1355, __pyx_L1_error)
  if (PyDict_SetItem(__pyx_t_2, __pyx_n_s_range2, __pyx_v_c22_range) < 0) __PYX_ERR(0, 1355, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":1354
 *     )
 *     found.extend(
 *         _curve_curve_intersections_t(             # <<<<<<<<<<<<<<
 *             c12, c22, precision, range1=c12_range, range2=c22_range
 *         )
 */
  __pyx_t_3 = __Pyx_PyObject_Call(__pyx_t_7, __pyx_t_1, __pyx_t_2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1354, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1353
 *         )
 *     )
 *     found.extend(             # <<<<<<<<<<<<<<
 *         _curve_curve_intersections_t(
 *             c12, c22, precision, range1=c12_range, range2=c22_range
 */
  __pyx_t_9 = __Pyx_PyList_Extend(__pyx_v_found, __pyx_t_3); if (unlikely(__pyx_t_9 == ((int)-1))) __PYX_ERR(0, 1353, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1359
 *     )
 * 
 *     unique_key = lambda ts: (int(ts[0] / precision), int(ts[1] / precision))             # <<<<<<<<<<<<<<
 *     seen = set()
 *     unique_values = []
 */
  __pyx_t_3 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_2lambda3, 0, __pyx_n_s_curve_curve_intersections_t_loc_2, ((PyObject*)__pyx_cur_scope), __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, NULL); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1359, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_v_unique_key = __pyx_t_3;
  __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1360
 * 
 *     unique_key = lambda ts: (int(ts[0] / precision), int(ts[1] / precision))
 *     seen = set()             # <<<<<<<<<<<<<<
 *     unique_values = []
 * 
 */
  __pyx_t_3 = PySet_New(0); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1360, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_v_seen = ((PyObject*)__pyx_t_3);
  __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1361
 *     unique_key = lambda ts: (int(ts[0] / precision), int(ts[1] / precision))
 *     seen = set()
 *     unique_values = []             # <<<<<<<<<<<<<<
 * 
 *     for ts in found:
 */
  __pyx_t_3 = PyList_New(0); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1361, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_v_unique_values = ((PyObject*)__pyx_t_3);
  __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1363
 *     unique_values = []
 * 
 *     for ts in found:             # <<<<<<<<<<<<<<
 *         key = unique_key(ts)
 *         if key in seen:
 */
  __pyx_t_3 = __pyx_v_found; __Pyx_INCREF(__pyx_t_3);
  __pyx_t_10 = 0;
  for (;;) {
    {
      Py_ssize_t __pyx_temp = __Pyx_PyList_GET_SIZE(__pyx_t_3);
      #if !CYTHON_ASSUME_SAFE_MACROS
      if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 1363, __pyx_L1_error)
      #endif
      if (__pyx_t_10 >= __pyx_temp) break;
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    __pyx_t_2 = PyList_GET_ITEM(__pyx_t_3, __pyx_t_10); __Pyx_INCREF(__pyx_t_2); __pyx_t_10++; if (unlikely((0 < 0))) __PYX_ERR(0, 1363, __pyx_L1_error)
    #else
    __pyx_t_2 = __Pyx_PySequence_ITEM(__pyx_t_3, __pyx_t_10); __pyx_t_10++; if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1363, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    #endif
    __Pyx_XDECREF_SET(__pyx_v_ts, __pyx_t_2);
    __pyx_t_2 = 0;

    /* "fontTools/misc/bezierTools.py":1364
 * 
 *     for ts in found:
 *         key = unique_key(ts)             # <<<<<<<<<<<<<<
 *         if key in seen:
 *             continue
 */
    __pyx_t_2 = __pyx_lambda_funcdef_lambda3(__pyx_v_unique_key, __pyx_v_ts); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1364, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_XDECREF_SET(__pyx_v_key, __pyx_t_2);
    __pyx_t_2 = 0;

    /* "fontTools/misc/bezierTools.py":1365
 *     for ts in found:
 *         key = unique_key(ts)
 *         if key in seen:             # <<<<<<<<<<<<<<
 *             continue
 *         seen.add(key)
 */
    __pyx_t_6 = (__Pyx_PySet_ContainsTF(__pyx_v_key, __pyx_v_seen, Py_EQ)); if (unlikely((__pyx_t_6 < 0))) __PYX_ERR(0, 1365, __pyx_L1_error)
    if (__pyx_t_6) {

      /* "fontTools/misc/bezierTools.py":1366
 *         key = unique_key(ts)
 *         if key in seen:
 *             continue             # <<<<<<<<<<<<<<
 *         seen.add(key)
 *         unique_values.append(ts)
 */
      goto __pyx_L15_continue;

      /* "fontTools/misc/bezierTools.py":1365
 *     for ts in found:
 *         key = unique_key(ts)
 *         if key in seen:             # <<<<<<<<<<<<<<
 *             continue
 *         seen.add(key)
 */
    }

    /* "fontTools/misc/bezierTools.py":1367
 *         if key in seen:
 *             continue
 *         seen.add(key)             # <<<<<<<<<<<<<<
 *         unique_values.append(ts)
 * 
 */
    __pyx_t_9 = PySet_Add(__pyx_v_seen, __pyx_v_key); if (unlikely(__pyx_t_9 == ((int)-1))) __PYX_ERR(0, 1367, __pyx_L1_error)

    /* "fontTools/misc/bezierTools.py":1368
 *             continue
 *         seen.add(key)
 *         unique_values.append(ts)             # <<<<<<<<<<<<<<
 * 
 *     return unique_values
 */
    __pyx_t_9 = __Pyx_PyList_Append(__pyx_v_unique_values, __pyx_v_ts); if (unlikely(__pyx_t_9 == ((int)-1))) __PYX_ERR(0, 1368, __pyx_L1_error)

    /* "fontTools/misc/bezierTools.py":1363
 *     unique_values = []
 * 
 *     for ts in found:             # <<<<<<<<<<<<<<
 *         key = unique_key(ts)
 *         if key in seen:
 */
    __pyx_L15_continue:;
  }
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1370
 *         unique_values.append(ts)
 * 
 *     return unique_values             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __Pyx_XDECREF(__pyx_r);
  __Pyx_INCREF(__pyx_v_unique_values);
  __pyx_r = __pyx_v_unique_values;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":1306
 * 
 * 
 * def _curve_curve_intersections_t(             # <<<<<<<<<<<<<<
 *     curve1, curve2, precision=1e-3, range1=None, range2=None
 * ):
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_7);
  __Pyx_AddTraceback("fontTools.misc.bezierTools._curve_curve_intersections_t", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_bounds1);
  __Pyx_XDECREF(__pyx_v_bounds2);
  __Pyx_XDECREF(__pyx_v_intersects);
  __Pyx_XDECREF(__pyx_v__);
  __Pyx_XDECREF(__pyx_v_midpoint);
  __Pyx_XDECREF(__pyx_v_c11);
  __Pyx_XDECREF(__pyx_v_c12);
  __Pyx_XDECREF(__pyx_v_c11_range);
  __Pyx_XDECREF(__pyx_v_c12_range);
  __Pyx_XDECREF(__pyx_v_c21);
  __Pyx_XDECREF(__pyx_v_c22);
  __Pyx_XDECREF(__pyx_v_c21_range);
  __Pyx_XDECREF(__pyx_v_c22_range);
  __Pyx_XDECREF(__pyx_v_found);
  __Pyx_XDECREF(__pyx_v_unique_key);
  __Pyx_XDECREF(__pyx_v_seen);
  __Pyx_XDECREF(__pyx_v_unique_values);
  __Pyx_XDECREF(__pyx_v_ts);
  __Pyx_XDECREF(__pyx_v_key);
  __Pyx_XDECREF(__pyx_v_range1);
  __Pyx_XDECREF(__pyx_v_range2);
  __Pyx_DECREF((PyObject *)__pyx_cur_scope);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1373
 * 
 * 
 * def _is_linelike(segment):             # <<<<<<<<<<<<<<
 *     maybeline = _alignment_transformation(segment).transformPoints(segment)
 *     return all(math.isclose(p[1], 0.0) for p in maybeline)
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_87_is_linelike(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_86_is_linelike, "_is_linelike(segment)");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_87_is_linelike = {"_is_linelike", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_87_is_linelike, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_86_is_linelike};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_87_is_linelike(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_segment = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[1] = {0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("_is_linelike (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_segment,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_segment)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1373, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "_is_linelike") < 0)) __PYX_ERR(0, 1373, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs != 1)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
    }
    __pyx_v_segment = values[0];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("_is_linelike", 1, 1, 1, __pyx_nargs); __PYX_ERR(0, 1373, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools._is_linelike", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_86_is_linelike(__pyx_self, __pyx_v_segment);

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}
static PyObject *__pyx_gb_9fontTools_4misc_11bezierTools_12_is_linelike_2generator5(__pyx_CoroutineObject *__pyx_generator, CYTHON_UNUSED PyThreadState *__pyx_tstate, PyObject *__pyx_sent_value); /* proto */

/* "fontTools/misc/bezierTools.py":1375
 * def _is_linelike(segment):
 *     maybeline = _alignment_transformation(segment).transformPoints(segment)
 *     return all(math.isclose(p[1], 0.0) for p in maybeline)             # <<<<<<<<<<<<<<
 * 
 * 
 */

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_12_is_linelike_genexpr(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_genexpr_arg_0) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr *__pyx_cur_scope;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("genexpr", 0);
  __pyx_cur_scope = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr *)__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr(__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr, __pyx_empty_tuple, NULL);
  if (unlikely(!__pyx_cur_scope)) {
    __pyx_cur_scope = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr *)Py_None);
    __Pyx_INCREF(Py_None);
    __PYX_ERR(0, 1375, __pyx_L1_error)
  } else {
    __Pyx_GOTREF((PyObject *)__pyx_cur_scope);
  }
  __pyx_cur_scope->__pyx_genexpr_arg_0 = __pyx_genexpr_arg_0;
  __Pyx_INCREF(__pyx_cur_scope->__pyx_genexpr_arg_0);
  __Pyx_GIVEREF(__pyx_cur_scope->__pyx_genexpr_arg_0);
  {
    __pyx_CoroutineObject *gen = __Pyx_Generator_New((__pyx_coroutine_body_t) __pyx_gb_9fontTools_4misc_11bezierTools_12_is_linelike_2generator5, NULL, (PyObject *) __pyx_cur_scope, __pyx_n_s_genexpr, __pyx_n_s_is_linelike_locals_genexpr, __pyx_n_s_fontTools_misc_bezierTools); if (unlikely(!gen)) __PYX_ERR(0, 1375, __pyx_L1_error)
    __Pyx_DECREF(__pyx_cur_scope);
    __Pyx_RefNannyFinishContext();
    return (PyObject *) gen;
  }

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_AddTraceback("fontTools.misc.bezierTools._is_linelike.genexpr", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __Pyx_DECREF((PyObject *)__pyx_cur_scope);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_gb_9fontTools_4misc_11bezierTools_12_is_linelike_2generator5(__pyx_CoroutineObject *__pyx_generator, CYTHON_UNUSED PyThreadState *__pyx_tstate, PyObject *__pyx_sent_value) /* generator body */
{
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr *__pyx_cur_scope = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr *)__pyx_generator->closure);
  PyObject *__pyx_r = NULL;
  PyObject *__pyx_t_1 = NULL;
  Py_ssize_t __pyx_t_2;
  PyObject *(*__pyx_t_3)(PyObject *);
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  PyObject *__pyx_t_6 = NULL;
  PyObject *__pyx_t_7 = NULL;
  int __pyx_t_8;
  int __pyx_t_9;
  int __pyx_t_10;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("genexpr", 0);
  switch (__pyx_generator->resume_label) {
    case 0: goto __pyx_L3_first_run;
    default: /* CPython raises the right error here */
    __Pyx_RefNannyFinishContext();
    return NULL;
  }
  __pyx_L3_first_run:;
  if (unlikely(!__pyx_sent_value)) __PYX_ERR(0, 1375, __pyx_L1_error)
  if (unlikely(!__pyx_cur_scope->__pyx_genexpr_arg_0)) { __Pyx_RaiseUnboundLocalError(".0"); __PYX_ERR(0, 1375, __pyx_L1_error) }
  if (likely(PyList_CheckExact(__pyx_cur_scope->__pyx_genexpr_arg_0)) || PyTuple_CheckExact(__pyx_cur_scope->__pyx_genexpr_arg_0)) {
    __pyx_t_1 = __pyx_cur_scope->__pyx_genexpr_arg_0; __Pyx_INCREF(__pyx_t_1);
    __pyx_t_2 = 0;
    __pyx_t_3 = NULL;
  } else {
    __pyx_t_2 = -1; __pyx_t_1 = PyObject_GetIter(__pyx_cur_scope->__pyx_genexpr_arg_0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1375, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_3 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1375, __pyx_L1_error)
  }
  for (;;) {
    if (likely(!__pyx_t_3)) {
      if (likely(PyList_CheckExact(__pyx_t_1))) {
        {
          Py_ssize_t __pyx_temp = __Pyx_PyList_GET_SIZE(__pyx_t_1);
          #if !CYTHON_ASSUME_SAFE_MACROS
          if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 1375, __pyx_L1_error)
          #endif
          if (__pyx_t_2 >= __pyx_temp) break;
        }
        #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
        __pyx_t_4 = PyList_GET_ITEM(__pyx_t_1, __pyx_t_2); __Pyx_INCREF(__pyx_t_4); __pyx_t_2++; if (unlikely((0 < 0))) __PYX_ERR(0, 1375, __pyx_L1_error)
        #else
        __pyx_t_4 = __Pyx_PySequence_ITEM(__pyx_t_1, __pyx_t_2); __pyx_t_2++; if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1375, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_4);
        #endif
      } else {
        {
          Py_ssize_t __pyx_temp = __Pyx_PyTuple_GET_SIZE(__pyx_t_1);
          #if !CYTHON_ASSUME_SAFE_MACROS
          if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 1375, __pyx_L1_error)
          #endif
          if (__pyx_t_2 >= __pyx_temp) break;
        }
        #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
        __pyx_t_4 = PyTuple_GET_ITEM(__pyx_t_1, __pyx_t_2); __Pyx_INCREF(__pyx_t_4); __pyx_t_2++; if (unlikely((0 < 0))) __PYX_ERR(0, 1375, __pyx_L1_error)
        #else
        __pyx_t_4 = __Pyx_PySequence_ITEM(__pyx_t_1, __pyx_t_2); __pyx_t_2++; if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1375, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_4);
        #endif
      }
    } else {
      __pyx_t_4 = __pyx_t_3(__pyx_t_1);
      if (unlikely(!__pyx_t_4)) {
        PyObject* exc_type = PyErr_Occurred();
        if (exc_type) {
          if (likely(__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration))) PyErr_Clear();
          else __PYX_ERR(0, 1375, __pyx_L1_error)
        }
        break;
      }
      __Pyx_GOTREF(__pyx_t_4);
    }
    __Pyx_XGOTREF(__pyx_cur_scope->__pyx_v_p);
    __Pyx_XDECREF_SET(__pyx_cur_scope->__pyx_v_p, __pyx_t_4);
    __Pyx_GIVEREF(__pyx_t_4);
    __pyx_t_4 = 0;
    __Pyx_GetModuleGlobalName(__pyx_t_5, __pyx_n_s_math); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1375, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __pyx_t_6 = __Pyx_PyObject_GetAttrStr(__pyx_t_5, __pyx_n_s_isclose); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1375, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __pyx_t_5 = __Pyx_GetItemInt(__pyx_cur_scope->__pyx_v_p, 1, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1375, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __pyx_t_7 = NULL;
    __pyx_t_8 = 0;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_6))) {
      __pyx_t_7 = PyMethod_GET_SELF(__pyx_t_6);
      if (likely(__pyx_t_7)) {
        PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_6);
        __Pyx_INCREF(__pyx_t_7);
        __Pyx_INCREF(function);
        __Pyx_DECREF_SET(__pyx_t_6, function);
        __pyx_t_8 = 1;
      }
    }
    #endif
    {
      PyObject *__pyx_callargs[3] = {__pyx_t_7, __pyx_t_5, __pyx_float_0_0};
      __pyx_t_4 = __Pyx_PyObject_FastCall(__pyx_t_6, __pyx_callargs+1-__pyx_t_8, 2+__pyx_t_8);
      __Pyx_XDECREF(__pyx_t_7); __pyx_t_7 = 0;
      __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
      if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1375, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_4);
      __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    }
    __pyx_t_9 = __Pyx_PyObject_IsTrue(__pyx_t_4); if (unlikely((__pyx_t_9 < 0))) __PYX_ERR(0, 1375, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __pyx_t_10 = (!__pyx_t_9);
    if (__pyx_t_10) {
      __Pyx_XDECREF(__pyx_r);
      __Pyx_INCREF(Py_False);
      __pyx_r = Py_False;
      __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
      goto __pyx_L0;
    }
  }
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  /*else*/ {
    __Pyx_XDECREF(__pyx_r);
    __Pyx_INCREF(Py_True);
    __pyx_r = Py_True;
    goto __pyx_L0;
  }
  CYTHON_MAYBE_UNUSED_VAR(__pyx_cur_scope);

  /* function exit code */
  goto __pyx_L0;
  __pyx_L1_error:;
  __Pyx_Generator_Replace_StopIteration(0);
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_XDECREF(__pyx_t_7);
  __Pyx_AddTraceback("genexpr", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  #if !CYTHON_USE_EXC_INFO_STACK
  __Pyx_Coroutine_ResetAndClearException(__pyx_generator);
  #endif
  __pyx_generator->resume_label = -1;
  __Pyx_Coroutine_clear((PyObject*)__pyx_generator);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1373
 * 
 * 
 * def _is_linelike(segment):             # <<<<<<<<<<<<<<
 *     maybeline = _alignment_transformation(segment).transformPoints(segment)
 *     return all(math.isclose(p[1], 0.0) for p in maybeline)
 */

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_86_is_linelike(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_segment) {
  PyObject *__pyx_v_maybeline = NULL;
  PyObject *__pyx_gb_9fontTools_4misc_11bezierTools_12_is_linelike_2generator5 = 0;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  int __pyx_t_5;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("_is_linelike", 1);

  /* "fontTools/misc/bezierTools.py":1374
 * 
 * def _is_linelike(segment):
 *     maybeline = _alignment_transformation(segment).transformPoints(segment)             # <<<<<<<<<<<<<<
 *     return all(math.isclose(p[1], 0.0) for p in maybeline)
 * 
 */
  __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_alignment_transformation); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1374, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_4 = NULL;
  __pyx_t_5 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_3))) {
    __pyx_t_4 = PyMethod_GET_SELF(__pyx_t_3);
    if (likely(__pyx_t_4)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_3);
      __Pyx_INCREF(__pyx_t_4);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_3, function);
      __pyx_t_5 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[2] = {__pyx_t_4, __pyx_v_segment};
    __pyx_t_2 = __Pyx_PyObject_FastCall(__pyx_t_3, __pyx_callargs+1-__pyx_t_5, 1+__pyx_t_5);
    __Pyx_XDECREF(__pyx_t_4); __pyx_t_4 = 0;
    if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1374, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  }
  __pyx_t_3 = __Pyx_PyObject_GetAttrStr(__pyx_t_2, __pyx_n_s_transformPoints); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1374, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = NULL;
  __pyx_t_5 = 0;
  #if CYTHON_UNPACK_METHODS
  if (likely(PyMethod_Check(__pyx_t_3))) {
    __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_3);
    if (likely(__pyx_t_2)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_3);
      __Pyx_INCREF(__pyx_t_2);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_3, function);
      __pyx_t_5 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[2] = {__pyx_t_2, __pyx_v_segment};
    __pyx_t_1 = __Pyx_PyObject_FastCall(__pyx_t_3, __pyx_callargs+1-__pyx_t_5, 1+__pyx_t_5);
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1374, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  }
  __pyx_v_maybeline = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1375
 * def _is_linelike(segment):
 *     maybeline = _alignment_transformation(segment).transformPoints(segment)
 *     return all(math.isclose(p[1], 0.0) for p in maybeline)             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = __pyx_pf_9fontTools_4misc_11bezierTools_12_is_linelike_genexpr(NULL, __pyx_v_maybeline); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1375, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_3 = __Pyx_Generator_Next(__pyx_t_1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1375, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_r = __pyx_t_3;
  __pyx_t_3 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":1373
 * 
 * 
 * def _is_linelike(segment):             # <<<<<<<<<<<<<<
 *     maybeline = _alignment_transformation(segment).transformPoints(segment)
 *     return all(math.isclose(p[1], 0.0) for p in maybeline)
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_AddTraceback("fontTools.misc.bezierTools._is_linelike", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_maybeline);
  __Pyx_XDECREF(__pyx_gb_9fontTools_4misc_11bezierTools_12_is_linelike_2generator5);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1378
 * 
 * 
 * def curveCurveIntersections(curve1, curve2):             # <<<<<<<<<<<<<<
 *     """Finds intersections between a curve and a curve.
 * 
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_89curveCurveIntersections(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_88curveCurveIntersections, "curveCurveIntersections(curve1, curve2)\nFinds intersections between a curve and a curve.\n\n    Args:\n        curve1: List of coordinates of the first curve segment as 2D tuples.\n        curve2: List of coordinates of the second curve segment as 2D tuples.\n\n    Returns:\n        A list of ``Intersection`` objects, each object having ``pt``, ``t1``\n        and ``t2`` attributes containing the intersection point, time on first\n        segment and time on second segment respectively.\n\n    Examples::\n        >>> curve1 = [ (10,100), (90,30), (40,140), (220,220) ]\n        >>> curve2 = [ (5,150), (180,20), (80,250), (210,190) ]\n        >>> intersections = curveCurveIntersections(curve1, curve2)\n        >>> len(intersections)\n        3\n        >>> intersections[0].pt\n        (81.7831487395506, 109.88904552375288)\n    ");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_89curveCurveIntersections = {"curveCurveIntersections", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_89curveCurveIntersections, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_88curveCurveIntersections};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_89curveCurveIntersections(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_curve1 = 0;
  PyObject *__pyx_v_curve2 = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[2] = {0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("curveCurveIntersections (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_curve1,&__pyx_n_s_curve2,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_curve1)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1378, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_curve2)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[1]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1378, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("curveCurveIntersections", 1, 2, 2, 1); __PYX_ERR(0, 1378, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "curveCurveIntersections") < 0)) __PYX_ERR(0, 1378, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs != 2)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
      values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
    }
    __pyx_v_curve1 = values[0];
    __pyx_v_curve2 = values[1];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("curveCurveIntersections", 1, 2, 2, __pyx_nargs); __PYX_ERR(0, 1378, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.curveCurveIntersections", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_88curveCurveIntersections(__pyx_self, __pyx_v_curve1, __pyx_v_curve2);

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_88curveCurveIntersections(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_curve1, PyObject *__pyx_v_curve2) {
  PyObject *__pyx_v_line1 = NULL;
  PyObject *__pyx_v_line2 = NULL;
  PyObject *__pyx_v_intersection_ts = NULL;
  PyObject *__pyx_8genexpr8__pyx_v_ts = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  int __pyx_t_4;
  int __pyx_t_5;
  Py_ssize_t __pyx_t_6;
  PyObject *(*__pyx_t_7)(PyObject *);
  PyObject *__pyx_t_8 = NULL;
  PyObject *__pyx_t_9 = NULL;
  PyObject *__pyx_t_10 = NULL;
  PyObject *__pyx_t_11 = NULL;
  PyObject *__pyx_t_12 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("curveCurveIntersections", 1);

  /* "fontTools/misc/bezierTools.py":1399
 *         (81.7831487395506, 109.88904552375288)
 *     """
 *     if _is_linelike(curve1):             # <<<<<<<<<<<<<<
 *         line1 = curve1[0], curve1[-1]
 *         if _is_linelike(curve2):
 */
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_is_linelike); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1399, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = NULL;
  __pyx_t_4 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_2))) {
    __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_2);
    if (likely(__pyx_t_3)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_2);
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_2, function);
      __pyx_t_4 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[2] = {__pyx_t_3, __pyx_v_curve1};
    __pyx_t_1 = __Pyx_PyObject_FastCall(__pyx_t_2, __pyx_callargs+1-__pyx_t_4, 1+__pyx_t_4);
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1399, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  }
  __pyx_t_5 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely((__pyx_t_5 < 0))) __PYX_ERR(0, 1399, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  if (__pyx_t_5) {

    /* "fontTools/misc/bezierTools.py":1400
 *     """
 *     if _is_linelike(curve1):
 *         line1 = curve1[0], curve1[-1]             # <<<<<<<<<<<<<<
 *         if _is_linelike(curve2):
 *             line2 = curve2[0], curve2[-1]
 */
    __pyx_t_1 = __Pyx_GetItemInt(__pyx_v_curve1, 0, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1400, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = __Pyx_GetItemInt(__pyx_v_curve1, -1L, long, 1, __Pyx_PyInt_From_long, 0, 1, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1400, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_3 = PyTuple_New(2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1400, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_GIVEREF(__pyx_t_1);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_1)) __PYX_ERR(0, 1400, __pyx_L1_error);
    __Pyx_GIVEREF(__pyx_t_2);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_t_2)) __PYX_ERR(0, 1400, __pyx_L1_error);
    __pyx_t_1 = 0;
    __pyx_t_2 = 0;
    __pyx_v_line1 = ((PyObject*)__pyx_t_3);
    __pyx_t_3 = 0;

    /* "fontTools/misc/bezierTools.py":1401
 *     if _is_linelike(curve1):
 *         line1 = curve1[0], curve1[-1]
 *         if _is_linelike(curve2):             # <<<<<<<<<<<<<<
 *             line2 = curve2[0], curve2[-1]
 *             return lineLineIntersections(*line1, *line2)
 */
    __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_is_linelike); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1401, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = NULL;
    __pyx_t_4 = 0;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_2))) {
      __pyx_t_1 = PyMethod_GET_SELF(__pyx_t_2);
      if (likely(__pyx_t_1)) {
        PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_2);
        __Pyx_INCREF(__pyx_t_1);
        __Pyx_INCREF(function);
        __Pyx_DECREF_SET(__pyx_t_2, function);
        __pyx_t_4 = 1;
      }
    }
    #endif
    {
      PyObject *__pyx_callargs[2] = {__pyx_t_1, __pyx_v_curve2};
      __pyx_t_3 = __Pyx_PyObject_FastCall(__pyx_t_2, __pyx_callargs+1-__pyx_t_4, 1+__pyx_t_4);
      __Pyx_XDECREF(__pyx_t_1); __pyx_t_1 = 0;
      if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1401, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    }
    __pyx_t_5 = __Pyx_PyObject_IsTrue(__pyx_t_3); if (unlikely((__pyx_t_5 < 0))) __PYX_ERR(0, 1401, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (__pyx_t_5) {

      /* "fontTools/misc/bezierTools.py":1402
 *         line1 = curve1[0], curve1[-1]
 *         if _is_linelike(curve2):
 *             line2 = curve2[0], curve2[-1]             # <<<<<<<<<<<<<<
 *             return lineLineIntersections(*line1, *line2)
 *         else:
 */
      __pyx_t_3 = __Pyx_GetItemInt(__pyx_v_curve2, 0, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1402, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
      __pyx_t_2 = __Pyx_GetItemInt(__pyx_v_curve2, -1L, long, 1, __Pyx_PyInt_From_long, 0, 1, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1402, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_2);
      __pyx_t_1 = PyTuple_New(2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1402, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __Pyx_GIVEREF(__pyx_t_3);
      if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_t_3)) __PYX_ERR(0, 1402, __pyx_L1_error);
      __Pyx_GIVEREF(__pyx_t_2);
      if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_t_2)) __PYX_ERR(0, 1402, __pyx_L1_error);
      __pyx_t_3 = 0;
      __pyx_t_2 = 0;
      __pyx_v_line2 = ((PyObject*)__pyx_t_1);
      __pyx_t_1 = 0;

      /* "fontTools/misc/bezierTools.py":1403
 *         if _is_linelike(curve2):
 *             line2 = curve2[0], curve2[-1]
 *             return lineLineIntersections(*line1, *line2)             # <<<<<<<<<<<<<<
 *         else:
 *             return curveLineIntersections(curve2, line1)
 */
      __Pyx_XDECREF(__pyx_r);
      __Pyx_GetModuleGlobalName(__pyx_t_1, __pyx_n_s_lineLineIntersections); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1403, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __pyx_t_2 = PyNumber_Add(__pyx_v_line1, __pyx_v_line2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1403, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_2);
      __pyx_t_3 = __Pyx_PyObject_Call(__pyx_t_1, __pyx_t_2, NULL); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1403, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
      __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
      __pyx_r = __pyx_t_3;
      __pyx_t_3 = 0;
      goto __pyx_L0;

      /* "fontTools/misc/bezierTools.py":1401
 *     if _is_linelike(curve1):
 *         line1 = curve1[0], curve1[-1]
 *         if _is_linelike(curve2):             # <<<<<<<<<<<<<<
 *             line2 = curve2[0], curve2[-1]
 *             return lineLineIntersections(*line1, *line2)
 */
    }

    /* "fontTools/misc/bezierTools.py":1405
 *             return lineLineIntersections(*line1, *line2)
 *         else:
 *             return curveLineIntersections(curve2, line1)             # <<<<<<<<<<<<<<
 *     elif _is_linelike(curve2):
 *         line2 = curve2[0], curve2[-1]
 */
    /*else*/ {
      __Pyx_XDECREF(__pyx_r);
      __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_curveLineIntersections); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1405, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_2);
      __pyx_t_1 = NULL;
      __pyx_t_4 = 0;
      #if CYTHON_UNPACK_METHODS
      if (unlikely(PyMethod_Check(__pyx_t_2))) {
        __pyx_t_1 = PyMethod_GET_SELF(__pyx_t_2);
        if (likely(__pyx_t_1)) {
          PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_2);
          __Pyx_INCREF(__pyx_t_1);
          __Pyx_INCREF(function);
          __Pyx_DECREF_SET(__pyx_t_2, function);
          __pyx_t_4 = 1;
        }
      }
      #endif
      {
        PyObject *__pyx_callargs[3] = {__pyx_t_1, __pyx_v_curve2, __pyx_v_line1};
        __pyx_t_3 = __Pyx_PyObject_FastCall(__pyx_t_2, __pyx_callargs+1-__pyx_t_4, 2+__pyx_t_4);
        __Pyx_XDECREF(__pyx_t_1); __pyx_t_1 = 0;
        if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1405, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_3);
        __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
      }
      __pyx_r = __pyx_t_3;
      __pyx_t_3 = 0;
      goto __pyx_L0;
    }

    /* "fontTools/misc/bezierTools.py":1399
 *         (81.7831487395506, 109.88904552375288)
 *     """
 *     if _is_linelike(curve1):             # <<<<<<<<<<<<<<
 *         line1 = curve1[0], curve1[-1]
 *         if _is_linelike(curve2):
 */
  }

  /* "fontTools/misc/bezierTools.py":1406
 *         else:
 *             return curveLineIntersections(curve2, line1)
 *     elif _is_linelike(curve2):             # <<<<<<<<<<<<<<
 *         line2 = curve2[0], curve2[-1]
 *         return curveLineIntersections(curve1, line2)
 */
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_is_linelike); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1406, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_1 = NULL;
  __pyx_t_4 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_2))) {
    __pyx_t_1 = PyMethod_GET_SELF(__pyx_t_2);
    if (likely(__pyx_t_1)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_2);
      __Pyx_INCREF(__pyx_t_1);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_2, function);
      __pyx_t_4 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[2] = {__pyx_t_1, __pyx_v_curve2};
    __pyx_t_3 = __Pyx_PyObject_FastCall(__pyx_t_2, __pyx_callargs+1-__pyx_t_4, 1+__pyx_t_4);
    __Pyx_XDECREF(__pyx_t_1); __pyx_t_1 = 0;
    if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1406, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  }
  __pyx_t_5 = __Pyx_PyObject_IsTrue(__pyx_t_3); if (unlikely((__pyx_t_5 < 0))) __PYX_ERR(0, 1406, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  if (__pyx_t_5) {

    /* "fontTools/misc/bezierTools.py":1407
 *             return curveLineIntersections(curve2, line1)
 *     elif _is_linelike(curve2):
 *         line2 = curve2[0], curve2[-1]             # <<<<<<<<<<<<<<
 *         return curveLineIntersections(curve1, line2)
 * 
 */
    __pyx_t_3 = __Pyx_GetItemInt(__pyx_v_curve2, 0, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1407, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_2 = __Pyx_GetItemInt(__pyx_v_curve2, -1L, long, 1, __Pyx_PyInt_From_long, 0, 1, 1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1407, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = PyTuple_New(2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1407, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_GIVEREF(__pyx_t_3);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_t_3)) __PYX_ERR(0, 1407, __pyx_L1_error);
    __Pyx_GIVEREF(__pyx_t_2);
    if (__Pyx_PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_t_2)) __PYX_ERR(0, 1407, __pyx_L1_error);
    __pyx_t_3 = 0;
    __pyx_t_2 = 0;
    __pyx_v_line2 = ((PyObject*)__pyx_t_1);
    __pyx_t_1 = 0;

    /* "fontTools/misc/bezierTools.py":1408
 *     elif _is_linelike(curve2):
 *         line2 = curve2[0], curve2[-1]
 *         return curveLineIntersections(curve1, line2)             # <<<<<<<<<<<<<<
 * 
 *     intersection_ts = _curve_curve_intersections_t(curve1, curve2)
 */
    __Pyx_XDECREF(__pyx_r);
    __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_curveLineIntersections); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1408, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_3 = NULL;
    __pyx_t_4 = 0;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_2))) {
      __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_2);
      if (likely(__pyx_t_3)) {
        PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_2);
        __Pyx_INCREF(__pyx_t_3);
        __Pyx_INCREF(function);
        __Pyx_DECREF_SET(__pyx_t_2, function);
        __pyx_t_4 = 1;
      }
    }
    #endif
    {
      PyObject *__pyx_callargs[3] = {__pyx_t_3, __pyx_v_curve1, __pyx_v_line2};
      __pyx_t_1 = __Pyx_PyObject_FastCall(__pyx_t_2, __pyx_callargs+1-__pyx_t_4, 2+__pyx_t_4);
      __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
      if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1408, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    }
    __pyx_r = __pyx_t_1;
    __pyx_t_1 = 0;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":1406
 *         else:
 *             return curveLineIntersections(curve2, line1)
 *     elif _is_linelike(curve2):             # <<<<<<<<<<<<<<
 *         line2 = curve2[0], curve2[-1]
 *         return curveLineIntersections(curve1, line2)
 */
  }

  /* "fontTools/misc/bezierTools.py":1410
 *         return curveLineIntersections(curve1, line2)
 * 
 *     intersection_ts = _curve_curve_intersections_t(curve1, curve2)             # <<<<<<<<<<<<<<
 *     return [
 *         Intersection(pt=segmentPointAtT(curve1, ts[0]), t1=ts[0], t2=ts[1])
 */
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_curve_curve_intersections_t); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1410, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = NULL;
  __pyx_t_4 = 0;
  #if CYTHON_UNPACK_METHODS
  if (unlikely(PyMethod_Check(__pyx_t_2))) {
    __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_2);
    if (likely(__pyx_t_3)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_2);
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_2, function);
      __pyx_t_4 = 1;
    }
  }
  #endif
  {
    PyObject *__pyx_callargs[3] = {__pyx_t_3, __pyx_v_curve1, __pyx_v_curve2};
    __pyx_t_1 = __Pyx_PyObject_FastCall(__pyx_t_2, __pyx_callargs+1-__pyx_t_4, 2+__pyx_t_4);
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1410, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  }
  __pyx_v_intersection_ts = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1411
 * 
 *     intersection_ts = _curve_curve_intersections_t(curve1, curve2)
 *     return [             # <<<<<<<<<<<<<<
 *         Intersection(pt=segmentPointAtT(curve1, ts[0]), t1=ts[0], t2=ts[1])
 *         for ts in intersection_ts
 */
  __Pyx_XDECREF(__pyx_r);
  { /* enter inner scope */
    __pyx_t_1 = PyList_New(0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1411, __pyx_L7_error)
    __Pyx_GOTREF(__pyx_t_1);

    /* "fontTools/misc/bezierTools.py":1413
 *     return [
 *         Intersection(pt=segmentPointAtT(curve1, ts[0]), t1=ts[0], t2=ts[1])
 *         for ts in intersection_ts             # <<<<<<<<<<<<<<
 *     ]
 * 
 */
    if (likely(PyList_CheckExact(__pyx_v_intersection_ts)) || PyTuple_CheckExact(__pyx_v_intersection_ts)) {
      __pyx_t_2 = __pyx_v_intersection_ts; __Pyx_INCREF(__pyx_t_2);
      __pyx_t_6 = 0;
      __pyx_t_7 = NULL;
    } else {
      __pyx_t_6 = -1; __pyx_t_2 = PyObject_GetIter(__pyx_v_intersection_ts); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1413, __pyx_L7_error)
      __Pyx_GOTREF(__pyx_t_2);
      __pyx_t_7 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_2); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1413, __pyx_L7_error)
    }
    for (;;) {
      if (likely(!__pyx_t_7)) {
        if (likely(PyList_CheckExact(__pyx_t_2))) {
          {
            Py_ssize_t __pyx_temp = __Pyx_PyList_GET_SIZE(__pyx_t_2);
            #if !CYTHON_ASSUME_SAFE_MACROS
            if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 1413, __pyx_L7_error)
            #endif
            if (__pyx_t_6 >= __pyx_temp) break;
          }
          #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
          __pyx_t_3 = PyList_GET_ITEM(__pyx_t_2, __pyx_t_6); __Pyx_INCREF(__pyx_t_3); __pyx_t_6++; if (unlikely((0 < 0))) __PYX_ERR(0, 1413, __pyx_L7_error)
          #else
          __pyx_t_3 = __Pyx_PySequence_ITEM(__pyx_t_2, __pyx_t_6); __pyx_t_6++; if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1413, __pyx_L7_error)
          __Pyx_GOTREF(__pyx_t_3);
          #endif
        } else {
          {
            Py_ssize_t __pyx_temp = __Pyx_PyTuple_GET_SIZE(__pyx_t_2);
            #if !CYTHON_ASSUME_SAFE_MACROS
            if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 1413, __pyx_L7_error)
            #endif
            if (__pyx_t_6 >= __pyx_temp) break;
          }
          #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
          __pyx_t_3 = PyTuple_GET_ITEM(__pyx_t_2, __pyx_t_6); __Pyx_INCREF(__pyx_t_3); __pyx_t_6++; if (unlikely((0 < 0))) __PYX_ERR(0, 1413, __pyx_L7_error)
          #else
          __pyx_t_3 = __Pyx_PySequence_ITEM(__pyx_t_2, __pyx_t_6); __pyx_t_6++; if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1413, __pyx_L7_error)
          __Pyx_GOTREF(__pyx_t_3);
          #endif
        }
      } else {
        __pyx_t_3 = __pyx_t_7(__pyx_t_2);
        if (unlikely(!__pyx_t_3)) {
          PyObject* exc_type = PyErr_Occurred();
          if (exc_type) {
            if (likely(__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration))) PyErr_Clear();
            else __PYX_ERR(0, 1413, __pyx_L7_error)
          }
          break;
        }
        __Pyx_GOTREF(__pyx_t_3);
      }
      __Pyx_XDECREF_SET(__pyx_8genexpr8__pyx_v_ts, __pyx_t_3);
      __pyx_t_3 = 0;

      /* "fontTools/misc/bezierTools.py":1412
 *     intersection_ts = _curve_curve_intersections_t(curve1, curve2)
 *     return [
 *         Intersection(pt=segmentPointAtT(curve1, ts[0]), t1=ts[0], t2=ts[1])             # <<<<<<<<<<<<<<
 *         for ts in intersection_ts
 *     ]
 */
      __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_Intersection); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1412, __pyx_L7_error)
      __Pyx_GOTREF(__pyx_t_3);
      __pyx_t_8 = __Pyx_PyDict_NewPresized(3); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1412, __pyx_L7_error)
      __Pyx_GOTREF(__pyx_t_8);
      __Pyx_GetModuleGlobalName(__pyx_t_10, __pyx_n_s_segmentPointAtT); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 1412, __pyx_L7_error)
      __Pyx_GOTREF(__pyx_t_10);
      __pyx_t_11 = __Pyx_GetItemInt(__pyx_8genexpr8__pyx_v_ts, 0, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 1412, __pyx_L7_error)
      __Pyx_GOTREF(__pyx_t_11);
      __pyx_t_12 = NULL;
      __pyx_t_4 = 0;
      #if CYTHON_UNPACK_METHODS
      if (unlikely(PyMethod_Check(__pyx_t_10))) {
        __pyx_t_12 = PyMethod_GET_SELF(__pyx_t_10);
        if (likely(__pyx_t_12)) {
          PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_10);
          __Pyx_INCREF(__pyx_t_12);
          __Pyx_INCREF(function);
          __Pyx_DECREF_SET(__pyx_t_10, function);
          __pyx_t_4 = 1;
        }
      }
      #endif
      {
        PyObject *__pyx_callargs[3] = {__pyx_t_12, __pyx_v_curve1, __pyx_t_11};
        __pyx_t_9 = __Pyx_PyObject_FastCall(__pyx_t_10, __pyx_callargs+1-__pyx_t_4, 2+__pyx_t_4);
        __Pyx_XDECREF(__pyx_t_12); __pyx_t_12 = 0;
        __Pyx_DECREF(__pyx_t_11); __pyx_t_11 = 0;
        if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 1412, __pyx_L7_error)
        __Pyx_GOTREF(__pyx_t_9);
        __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
      }
      if (PyDict_SetItem(__pyx_t_8, __pyx_n_s_pt, __pyx_t_9) < 0) __PYX_ERR(0, 1412, __pyx_L7_error)
      __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
      __pyx_t_9 = __Pyx_GetItemInt(__pyx_8genexpr8__pyx_v_ts, 0, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 1412, __pyx_L7_error)
      __Pyx_GOTREF(__pyx_t_9);
      if (PyDict_SetItem(__pyx_t_8, __pyx_n_s_t1, __pyx_t_9) < 0) __PYX_ERR(0, 1412, __pyx_L7_error)
      __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
      __pyx_t_9 = __Pyx_GetItemInt(__pyx_8genexpr8__pyx_v_ts, 1, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 1412, __pyx_L7_error)
      __Pyx_GOTREF(__pyx_t_9);
      if (PyDict_SetItem(__pyx_t_8, __pyx_n_s_t2, __pyx_t_9) < 0) __PYX_ERR(0, 1412, __pyx_L7_error)
      __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
      __pyx_t_9 = __Pyx_PyObject_Call(__pyx_t_3, __pyx_empty_tuple, __pyx_t_8); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 1412, __pyx_L7_error)
      __Pyx_GOTREF(__pyx_t_9);
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
      if (unlikely(__Pyx_ListComp_Append(__pyx_t_1, (PyObject*)__pyx_t_9))) __PYX_ERR(0, 1411, __pyx_L7_error)
      __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;

      /* "fontTools/misc/bezierTools.py":1413
 *     return [
 *         Intersection(pt=segmentPointAtT(curve1, ts[0]), t1=ts[0], t2=ts[1])
 *         for ts in intersection_ts             # <<<<<<<<<<<<<<
 *     ]
 * 
 */
    }
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_XDECREF(__pyx_8genexpr8__pyx_v_ts); __pyx_8genexpr8__pyx_v_ts = 0;
    goto __pyx_L11_exit_scope;
    __pyx_L7_error:;
    __Pyx_XDECREF(__pyx_8genexpr8__pyx_v_ts); __pyx_8genexpr8__pyx_v_ts = 0;
    goto __pyx_L1_error;
    __pyx_L11_exit_scope:;
  } /* exit inner scope */
  __pyx_r = __pyx_t_1;
  __pyx_t_1 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":1378
 * 
 * 
 * def curveCurveIntersections(curve1, curve2):             # <<<<<<<<<<<<<<
 *     """Finds intersections between a curve and a curve.
 * 
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_8);
  __Pyx_XDECREF(__pyx_t_9);
  __Pyx_XDECREF(__pyx_t_10);
  __Pyx_XDECREF(__pyx_t_11);
  __Pyx_XDECREF(__pyx_t_12);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.curveCurveIntersections", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_line1);
  __Pyx_XDECREF(__pyx_v_line2);
  __Pyx_XDECREF(__pyx_v_intersection_ts);
  __Pyx_XDECREF(__pyx_8genexpr8__pyx_v_ts);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1417
 * 
 * 
 * def segmentSegmentIntersections(seg1, seg2):             # <<<<<<<<<<<<<<
 *     """Finds intersections between two segments.
 * 
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_91segmentSegmentIntersections(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_90segmentSegmentIntersections, "segmentSegmentIntersections(seg1, seg2)\nFinds intersections between two segments.\n\n    Args:\n        seg1: List of coordinates of the first segment as 2D tuples.\n        seg2: List of coordinates of the second segment as 2D tuples.\n\n    Returns:\n        A list of ``Intersection`` objects, each object having ``pt``, ``t1``\n        and ``t2`` attributes containing the intersection point, time on first\n        segment and time on second segment respectively.\n\n    Examples::\n        >>> curve1 = [ (10,100), (90,30), (40,140), (220,220) ]\n        >>> curve2 = [ (5,150), (180,20), (80,250), (210,190) ]\n        >>> intersections = segmentSegmentIntersections(curve1, curve2)\n        >>> len(intersections)\n        3\n        >>> intersections[0].pt\n        (81.7831487395506, 109.88904552375288)\n        >>> curve3 = [ (100, 240), (30, 60), (210, 230), (160, 30) ]\n        >>> line  = [ (25, 260), (230, 20) ]\n        >>> intersections = segmentSegmentIntersections(curve3, line)\n        >>> len(intersections)\n        3\n        >>> intersections[0].pt\n        (84.9000930760723, 189.87306176459828)\n\n    ");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_91segmentSegmentIntersections = {"segmentSegmentIntersections", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_91segmentSegmentIntersections, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_90segmentSegmentIntersections};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_91segmentSegmentIntersections(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_seg1 = 0;
  PyObject *__pyx_v_seg2 = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[2] = {0,0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("segmentSegmentIntersections (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_seg1,&__pyx_n_s_seg2,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_seg1)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1417, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_seg2)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[1]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1417, __pyx_L3_error)
        else {
          __Pyx_RaiseArgtupleInvalid("segmentSegmentIntersections", 1, 2, 2, 1); __PYX_ERR(0, 1417, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "segmentSegmentIntersections") < 0)) __PYX_ERR(0, 1417, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs != 2)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
      values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
    }
    __pyx_v_seg1 = values[0];
    __pyx_v_seg2 = values[1];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("segmentSegmentIntersections", 1, 2, 2, __pyx_nargs); __PYX_ERR(0, 1417, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.segmentSegmentIntersections", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_90segmentSegmentIntersections(__pyx_self, __pyx_v_seg1, __pyx_v_seg2);

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_90segmentSegmentIntersections(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_seg1, PyObject *__pyx_v_seg2) {
  int __pyx_v_swapped;
  PyObject *__pyx_v_intersections = NULL;
  PyObject *__pyx_8genexpr9__pyx_v_i = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  Py_ssize_t __pyx_t_1;
  Py_ssize_t __pyx_t_2;
  int __pyx_t_3;
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  PyObject *__pyx_t_6 = NULL;
  PyObject *__pyx_t_7 = NULL;
  PyObject *__pyx_t_8 = NULL;
  int __pyx_t_9;
  int __pyx_t_10;
  PyObject *__pyx_t_11 = NULL;
  PyObject *(*__pyx_t_12)(PyObject *);
  PyObject *__pyx_t_13 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("segmentSegmentIntersections", 0);
  __Pyx_INCREF(__pyx_v_seg1);
  __Pyx_INCREF(__pyx_v_seg2);

  /* "fontTools/misc/bezierTools.py":1447
 *     """
 *     # Arrange by degree
 *     swapped = False             # <<<<<<<<<<<<<<
 *     if len(seg2) > len(seg1):
 *         seg2, seg1 = seg1, seg2
 */
  __pyx_v_swapped = 0;

  /* "fontTools/misc/bezierTools.py":1448
 *     # Arrange by degree
 *     swapped = False
 *     if len(seg2) > len(seg1):             # <<<<<<<<<<<<<<
 *         seg2, seg1 = seg1, seg2
 *         swapped = True
 */
  __pyx_t_1 = PyObject_Length(__pyx_v_seg2); if (unlikely(__pyx_t_1 == ((Py_ssize_t)-1))) __PYX_ERR(0, 1448, __pyx_L1_error)
  __pyx_t_2 = PyObject_Length(__pyx_v_seg1); if (unlikely(__pyx_t_2 == ((Py_ssize_t)-1))) __PYX_ERR(0, 1448, __pyx_L1_error)
  __pyx_t_3 = (__pyx_t_1 > __pyx_t_2);
  if (__pyx_t_3) {

    /* "fontTools/misc/bezierTools.py":1449
 *     swapped = False
 *     if len(seg2) > len(seg1):
 *         seg2, seg1 = seg1, seg2             # <<<<<<<<<<<<<<
 *         swapped = True
 *     if len(seg1) > 2:
 */
    __pyx_t_4 = __pyx_v_seg1;
    __pyx_t_5 = __pyx_v_seg2;
    __pyx_v_seg2 = __pyx_t_4;
    __pyx_t_4 = 0;
    __pyx_v_seg1 = __pyx_t_5;
    __pyx_t_5 = 0;

    /* "fontTools/misc/bezierTools.py":1450
 *     if len(seg2) > len(seg1):
 *         seg2, seg1 = seg1, seg2
 *         swapped = True             # <<<<<<<<<<<<<<
 *     if len(seg1) > 2:
 *         if len(seg2) > 2:
 */
    __pyx_v_swapped = 1;

    /* "fontTools/misc/bezierTools.py":1448
 *     # Arrange by degree
 *     swapped = False
 *     if len(seg2) > len(seg1):             # <<<<<<<<<<<<<<
 *         seg2, seg1 = seg1, seg2
 *         swapped = True
 */
  }

  /* "fontTools/misc/bezierTools.py":1451
 *         seg2, seg1 = seg1, seg2
 *         swapped = True
 *     if len(seg1) > 2:             # <<<<<<<<<<<<<<
 *         if len(seg2) > 2:
 *             intersections = curveCurveIntersections(seg1, seg2)
 */
  __pyx_t_2 = PyObject_Length(__pyx_v_seg1); if (unlikely(__pyx_t_2 == ((Py_ssize_t)-1))) __PYX_ERR(0, 1451, __pyx_L1_error)
  __pyx_t_3 = (__pyx_t_2 > 2);
  if (__pyx_t_3) {

    /* "fontTools/misc/bezierTools.py":1452
 *         swapped = True
 *     if len(seg1) > 2:
 *         if len(seg2) > 2:             # <<<<<<<<<<<<<<
 *             intersections = curveCurveIntersections(seg1, seg2)
 *         else:
 */
    __pyx_t_2 = PyObject_Length(__pyx_v_seg2); if (unlikely(__pyx_t_2 == ((Py_ssize_t)-1))) __PYX_ERR(0, 1452, __pyx_L1_error)
    __pyx_t_3 = (__pyx_t_2 > 2);
    if (__pyx_t_3) {

      /* "fontTools/misc/bezierTools.py":1453
 *     if len(seg1) > 2:
 *         if len(seg2) > 2:
 *             intersections = curveCurveIntersections(seg1, seg2)             # <<<<<<<<<<<<<<
 *         else:
 *             intersections = curveLineIntersections(seg1, seg2)
 */
      __Pyx_GetModuleGlobalName(__pyx_t_7, __pyx_n_s_curveCurveIntersections); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1453, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_7);
      __pyx_t_8 = NULL;
      __pyx_t_9 = 0;
      #if CYTHON_UNPACK_METHODS
      if (unlikely(PyMethod_Check(__pyx_t_7))) {
        __pyx_t_8 = PyMethod_GET_SELF(__pyx_t_7);
        if (likely(__pyx_t_8)) {
          PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_7);
          __Pyx_INCREF(__pyx_t_8);
          __Pyx_INCREF(function);
          __Pyx_DECREF_SET(__pyx_t_7, function);
          __pyx_t_9 = 1;
        }
      }
      #endif
      {
        PyObject *__pyx_callargs[3] = {__pyx_t_8, __pyx_v_seg1, __pyx_v_seg2};
        __pyx_t_6 = __Pyx_PyObject_FastCall(__pyx_t_7, __pyx_callargs+1-__pyx_t_9, 2+__pyx_t_9);
        __Pyx_XDECREF(__pyx_t_8); __pyx_t_8 = 0;
        if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1453, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_6);
        __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
      }
      __pyx_v_intersections = __pyx_t_6;
      __pyx_t_6 = 0;

      /* "fontTools/misc/bezierTools.py":1452
 *         swapped = True
 *     if len(seg1) > 2:
 *         if len(seg2) > 2:             # <<<<<<<<<<<<<<
 *             intersections = curveCurveIntersections(seg1, seg2)
 *         else:
 */
      goto __pyx_L5;
    }

    /* "fontTools/misc/bezierTools.py":1455
 *             intersections = curveCurveIntersections(seg1, seg2)
 *         else:
 *             intersections = curveLineIntersections(seg1, seg2)             # <<<<<<<<<<<<<<
 *     elif len(seg1) == 2 and len(seg2) == 2:
 *         intersections = lineLineIntersections(*seg1, *seg2)
 */
    /*else*/ {
      __Pyx_GetModuleGlobalName(__pyx_t_7, __pyx_n_s_curveLineIntersections); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1455, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_7);
      __pyx_t_8 = NULL;
      __pyx_t_9 = 0;
      #if CYTHON_UNPACK_METHODS
      if (unlikely(PyMethod_Check(__pyx_t_7))) {
        __pyx_t_8 = PyMethod_GET_SELF(__pyx_t_7);
        if (likely(__pyx_t_8)) {
          PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_7);
          __Pyx_INCREF(__pyx_t_8);
          __Pyx_INCREF(function);
          __Pyx_DECREF_SET(__pyx_t_7, function);
          __pyx_t_9 = 1;
        }
      }
      #endif
      {
        PyObject *__pyx_callargs[3] = {__pyx_t_8, __pyx_v_seg1, __pyx_v_seg2};
        __pyx_t_6 = __Pyx_PyObject_FastCall(__pyx_t_7, __pyx_callargs+1-__pyx_t_9, 2+__pyx_t_9);
        __Pyx_XDECREF(__pyx_t_8); __pyx_t_8 = 0;
        if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1455, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_6);
        __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
      }
      __pyx_v_intersections = __pyx_t_6;
      __pyx_t_6 = 0;
    }
    __pyx_L5:;

    /* "fontTools/misc/bezierTools.py":1451
 *         seg2, seg1 = seg1, seg2
 *         swapped = True
 *     if len(seg1) > 2:             # <<<<<<<<<<<<<<
 *         if len(seg2) > 2:
 *             intersections = curveCurveIntersections(seg1, seg2)
 */
    goto __pyx_L4;
  }

  /* "fontTools/misc/bezierTools.py":1456
 *         else:
 *             intersections = curveLineIntersections(seg1, seg2)
 *     elif len(seg1) == 2 and len(seg2) == 2:             # <<<<<<<<<<<<<<
 *         intersections = lineLineIntersections(*seg1, *seg2)
 *     else:
 */
  __pyx_t_2 = PyObject_Length(__pyx_v_seg1); if (unlikely(__pyx_t_2 == ((Py_ssize_t)-1))) __PYX_ERR(0, 1456, __pyx_L1_error)
  __pyx_t_10 = (__pyx_t_2 == 2);
  if (__pyx_t_10) {
  } else {
    __pyx_t_3 = __pyx_t_10;
    goto __pyx_L6_bool_binop_done;
  }
  __pyx_t_2 = PyObject_Length(__pyx_v_seg2); if (unlikely(__pyx_t_2 == ((Py_ssize_t)-1))) __PYX_ERR(0, 1456, __pyx_L1_error)
  __pyx_t_10 = (__pyx_t_2 == 2);
  __pyx_t_3 = __pyx_t_10;
  __pyx_L6_bool_binop_done:;
  if (likely(__pyx_t_3)) {

    /* "fontTools/misc/bezierTools.py":1457
 *             intersections = curveLineIntersections(seg1, seg2)
 *     elif len(seg1) == 2 and len(seg2) == 2:
 *         intersections = lineLineIntersections(*seg1, *seg2)             # <<<<<<<<<<<<<<
 *     else:
 *         raise ValueError("Couldn't work out which intersection function to use")
 */
    __Pyx_GetModuleGlobalName(__pyx_t_6, __pyx_n_s_lineLineIntersections); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1457, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __pyx_t_7 = __Pyx_PySequence_Tuple(__pyx_v_seg1); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1457, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __pyx_t_8 = __Pyx_PySequence_Tuple(__pyx_v_seg2); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1457, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    __pyx_t_11 = PyNumber_Add(__pyx_t_7, __pyx_t_8); if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 1457, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_11);
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
    __pyx_t_8 = __Pyx_PyObject_Call(__pyx_t_6, __pyx_t_11, NULL); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1457, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __Pyx_DECREF(__pyx_t_11); __pyx_t_11 = 0;
    __pyx_v_intersections = __pyx_t_8;
    __pyx_t_8 = 0;

    /* "fontTools/misc/bezierTools.py":1456
 *         else:
 *             intersections = curveLineIntersections(seg1, seg2)
 *     elif len(seg1) == 2 and len(seg2) == 2:             # <<<<<<<<<<<<<<
 *         intersections = lineLineIntersections(*seg1, *seg2)
 *     else:
 */
    goto __pyx_L4;
  }

  /* "fontTools/misc/bezierTools.py":1459
 *         intersections = lineLineIntersections(*seg1, *seg2)
 *     else:
 *         raise ValueError("Couldn't work out which intersection function to use")             # <<<<<<<<<<<<<<
 *     if not swapped:
 *         return intersections
 */
  /*else*/ {
    __pyx_t_8 = __Pyx_PyObject_Call(__pyx_builtin_ValueError, __pyx_tuple__8, NULL); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1459, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    __Pyx_Raise(__pyx_t_8, 0, 0, 0);
    __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
    __PYX_ERR(0, 1459, __pyx_L1_error)
  }
  __pyx_L4:;

  /* "fontTools/misc/bezierTools.py":1460
 *     else:
 *         raise ValueError("Couldn't work out which intersection function to use")
 *     if not swapped:             # <<<<<<<<<<<<<<
 *         return intersections
 *     return [Intersection(pt=i.pt, t1=i.t2, t2=i.t1) for i in intersections]
 */
  __pyx_t_3 = (!__pyx_v_swapped);
  if (__pyx_t_3) {

    /* "fontTools/misc/bezierTools.py":1461
 *         raise ValueError("Couldn't work out which intersection function to use")
 *     if not swapped:
 *         return intersections             # <<<<<<<<<<<<<<
 *     return [Intersection(pt=i.pt, t1=i.t2, t2=i.t1) for i in intersections]
 * 
 */
    __Pyx_XDECREF(__pyx_r);
    __Pyx_INCREF(__pyx_v_intersections);
    __pyx_r = __pyx_v_intersections;
    goto __pyx_L0;

    /* "fontTools/misc/bezierTools.py":1460
 *     else:
 *         raise ValueError("Couldn't work out which intersection function to use")
 *     if not swapped:             # <<<<<<<<<<<<<<
 *         return intersections
 *     return [Intersection(pt=i.pt, t1=i.t2, t2=i.t1) for i in intersections]
 */
  }

  /* "fontTools/misc/bezierTools.py":1462
 *     if not swapped:
 *         return intersections
 *     return [Intersection(pt=i.pt, t1=i.t2, t2=i.t1) for i in intersections]             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __Pyx_XDECREF(__pyx_r);
  { /* enter inner scope */
    __pyx_t_8 = PyList_New(0); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1462, __pyx_L11_error)
    __Pyx_GOTREF(__pyx_t_8);
    if (likely(PyList_CheckExact(__pyx_v_intersections)) || PyTuple_CheckExact(__pyx_v_intersections)) {
      __pyx_t_11 = __pyx_v_intersections; __Pyx_INCREF(__pyx_t_11);
      __pyx_t_2 = 0;
      __pyx_t_12 = NULL;
    } else {
      __pyx_t_2 = -1; __pyx_t_11 = PyObject_GetIter(__pyx_v_intersections); if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 1462, __pyx_L11_error)
      __Pyx_GOTREF(__pyx_t_11);
      __pyx_t_12 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_11); if (unlikely(!__pyx_t_12)) __PYX_ERR(0, 1462, __pyx_L11_error)
    }
    for (;;) {
      if (likely(!__pyx_t_12)) {
        if (likely(PyList_CheckExact(__pyx_t_11))) {
          {
            Py_ssize_t __pyx_temp = __Pyx_PyList_GET_SIZE(__pyx_t_11);
            #if !CYTHON_ASSUME_SAFE_MACROS
            if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 1462, __pyx_L11_error)
            #endif
            if (__pyx_t_2 >= __pyx_temp) break;
          }
          #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
          __pyx_t_6 = PyList_GET_ITEM(__pyx_t_11, __pyx_t_2); __Pyx_INCREF(__pyx_t_6); __pyx_t_2++; if (unlikely((0 < 0))) __PYX_ERR(0, 1462, __pyx_L11_error)
          #else
          __pyx_t_6 = __Pyx_PySequence_ITEM(__pyx_t_11, __pyx_t_2); __pyx_t_2++; if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1462, __pyx_L11_error)
          __Pyx_GOTREF(__pyx_t_6);
          #endif
        } else {
          {
            Py_ssize_t __pyx_temp = __Pyx_PyTuple_GET_SIZE(__pyx_t_11);
            #if !CYTHON_ASSUME_SAFE_MACROS
            if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 1462, __pyx_L11_error)
            #endif
            if (__pyx_t_2 >= __pyx_temp) break;
          }
          #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
          __pyx_t_6 = PyTuple_GET_ITEM(__pyx_t_11, __pyx_t_2); __Pyx_INCREF(__pyx_t_6); __pyx_t_2++; if (unlikely((0 < 0))) __PYX_ERR(0, 1462, __pyx_L11_error)
          #else
          __pyx_t_6 = __Pyx_PySequence_ITEM(__pyx_t_11, __pyx_t_2); __pyx_t_2++; if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1462, __pyx_L11_error)
          __Pyx_GOTREF(__pyx_t_6);
          #endif
        }
      } else {
        __pyx_t_6 = __pyx_t_12(__pyx_t_11);
        if (unlikely(!__pyx_t_6)) {
          PyObject* exc_type = PyErr_Occurred();
          if (exc_type) {
            if (likely(__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration))) PyErr_Clear();
            else __PYX_ERR(0, 1462, __pyx_L11_error)
          }
          break;
        }
        __Pyx_GOTREF(__pyx_t_6);
      }
      __Pyx_XDECREF_SET(__pyx_8genexpr9__pyx_v_i, __pyx_t_6);
      __pyx_t_6 = 0;
      __Pyx_GetModuleGlobalName(__pyx_t_6, __pyx_n_s_Intersection); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1462, __pyx_L11_error)
      __Pyx_GOTREF(__pyx_t_6);
      __pyx_t_7 = __Pyx_PyDict_NewPresized(3); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1462, __pyx_L11_error)
      __Pyx_GOTREF(__pyx_t_7);
      __pyx_t_13 = __Pyx_PyObject_GetAttrStr(__pyx_8genexpr9__pyx_v_i, __pyx_n_s_pt); if (unlikely(!__pyx_t_13)) __PYX_ERR(0, 1462, __pyx_L11_error)
      __Pyx_GOTREF(__pyx_t_13);
      if (PyDict_SetItem(__pyx_t_7, __pyx_n_s_pt, __pyx_t_13) < 0) __PYX_ERR(0, 1462, __pyx_L11_error)
      __Pyx_DECREF(__pyx_t_13); __pyx_t_13 = 0;
      __pyx_t_13 = __Pyx_PyObject_GetAttrStr(__pyx_8genexpr9__pyx_v_i, __pyx_n_s_t2); if (unlikely(!__pyx_t_13)) __PYX_ERR(0, 1462, __pyx_L11_error)
      __Pyx_GOTREF(__pyx_t_13);
      if (PyDict_SetItem(__pyx_t_7, __pyx_n_s_t1, __pyx_t_13) < 0) __PYX_ERR(0, 1462, __pyx_L11_error)
      __Pyx_DECREF(__pyx_t_13); __pyx_t_13 = 0;
      __pyx_t_13 = __Pyx_PyObject_GetAttrStr(__pyx_8genexpr9__pyx_v_i, __pyx_n_s_t1); if (unlikely(!__pyx_t_13)) __PYX_ERR(0, 1462, __pyx_L11_error)
      __Pyx_GOTREF(__pyx_t_13);
      if (PyDict_SetItem(__pyx_t_7, __pyx_n_s_t2, __pyx_t_13) < 0) __PYX_ERR(0, 1462, __pyx_L11_error)
      __Pyx_DECREF(__pyx_t_13); __pyx_t_13 = 0;
      __pyx_t_13 = __Pyx_PyObject_Call(__pyx_t_6, __pyx_empty_tuple, __pyx_t_7); if (unlikely(!__pyx_t_13)) __PYX_ERR(0, 1462, __pyx_L11_error)
      __Pyx_GOTREF(__pyx_t_13);
      __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
      __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
      if (unlikely(__Pyx_ListComp_Append(__pyx_t_8, (PyObject*)__pyx_t_13))) __PYX_ERR(0, 1462, __pyx_L11_error)
      __Pyx_DECREF(__pyx_t_13); __pyx_t_13 = 0;
    }
    __Pyx_DECREF(__pyx_t_11); __pyx_t_11 = 0;
    __Pyx_XDECREF(__pyx_8genexpr9__pyx_v_i); __pyx_8genexpr9__pyx_v_i = 0;
    goto __pyx_L15_exit_scope;
    __pyx_L11_error:;
    __Pyx_XDECREF(__pyx_8genexpr9__pyx_v_i); __pyx_8genexpr9__pyx_v_i = 0;
    goto __pyx_L1_error;
    __pyx_L15_exit_scope:;
  } /* exit inner scope */
  __pyx_r = __pyx_t_8;
  __pyx_t_8 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":1417
 * 
 * 
 * def segmentSegmentIntersections(seg1, seg2):             # <<<<<<<<<<<<<<
 *     """Finds intersections between two segments.
 * 
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_XDECREF(__pyx_t_7);
  __Pyx_XDECREF(__pyx_t_8);
  __Pyx_XDECREF(__pyx_t_11);
  __Pyx_XDECREF(__pyx_t_13);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.segmentSegmentIntersections", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_intersections);
  __Pyx_XDECREF(__pyx_8genexpr9__pyx_v_i);
  __Pyx_XDECREF(__pyx_v_seg1);
  __Pyx_XDECREF(__pyx_v_seg2);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1465
 * 
 * 
 * def _segmentrepr(obj):             # <<<<<<<<<<<<<<
 *     """
 *     >>> _segmentrepr([1, [2, 3], [], [[2, [3, 4], [0.1, 2.2]]]])
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_93_segmentrepr(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_92_segmentrepr, "_segmentrepr(obj)\n\n    >>> _segmentrepr([1, [2, 3], [], [[2, [3, 4], [0.1, 2.2]]]])\n    '(1, (2, 3), (), ((2, (3, 4), (0.1, 2.2))))'\n    ");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_93_segmentrepr = {"_segmentrepr", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_93_segmentrepr, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_92_segmentrepr};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_93_segmentrepr(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_obj = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[1] = {0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("_segmentrepr (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_obj,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_obj)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1465, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "_segmentrepr") < 0)) __PYX_ERR(0, 1465, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs != 1)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
    }
    __pyx_v_obj = values[0];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("_segmentrepr", 1, 1, 1, __pyx_nargs); __PYX_ERR(0, 1465, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools._segmentrepr", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_92_segmentrepr(__pyx_self, __pyx_v_obj);

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}
static PyObject *__pyx_gb_9fontTools_4misc_11bezierTools_12_segmentrepr_2generator6(__pyx_CoroutineObject *__pyx_generator, CYTHON_UNUSED PyThreadState *__pyx_tstate, PyObject *__pyx_sent_value); /* proto */

/* "fontTools/misc/bezierTools.py":1475
 *         return "%g" % obj
 *     else:
 *         return "(%s)" % ", ".join(_segmentrepr(x) for x in it)             # <<<<<<<<<<<<<<
 * 
 * 
 */

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_12_segmentrepr_genexpr(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_genexpr_arg_0) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr *__pyx_cur_scope;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("genexpr", 0);
  __pyx_cur_scope = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr *)__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr(__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr, __pyx_empty_tuple, NULL);
  if (unlikely(!__pyx_cur_scope)) {
    __pyx_cur_scope = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr *)Py_None);
    __Pyx_INCREF(Py_None);
    __PYX_ERR(0, 1475, __pyx_L1_error)
  } else {
    __Pyx_GOTREF((PyObject *)__pyx_cur_scope);
  }
  __pyx_cur_scope->__pyx_genexpr_arg_0 = __pyx_genexpr_arg_0;
  __Pyx_INCREF(__pyx_cur_scope->__pyx_genexpr_arg_0);
  __Pyx_GIVEREF(__pyx_cur_scope->__pyx_genexpr_arg_0);
  {
    __pyx_CoroutineObject *gen = __Pyx_Generator_New((__pyx_coroutine_body_t) __pyx_gb_9fontTools_4misc_11bezierTools_12_segmentrepr_2generator6, NULL, (PyObject *) __pyx_cur_scope, __pyx_n_s_genexpr, __pyx_n_s_segmentrepr_locals_genexpr, __pyx_n_s_fontTools_misc_bezierTools); if (unlikely(!gen)) __PYX_ERR(0, 1475, __pyx_L1_error)
    __Pyx_DECREF(__pyx_cur_scope);
    __Pyx_RefNannyFinishContext();
    return (PyObject *) gen;
  }

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_AddTraceback("fontTools.misc.bezierTools._segmentrepr.genexpr", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __Pyx_DECREF((PyObject *)__pyx_cur_scope);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_gb_9fontTools_4misc_11bezierTools_12_segmentrepr_2generator6(__pyx_CoroutineObject *__pyx_generator, CYTHON_UNUSED PyThreadState *__pyx_tstate, PyObject *__pyx_sent_value) /* generator body */
{
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr *__pyx_cur_scope = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr *)__pyx_generator->closure);
  PyObject *__pyx_r = NULL;
  PyObject *__pyx_t_1 = NULL;
  Py_ssize_t __pyx_t_2;
  PyObject *(*__pyx_t_3)(PyObject *);
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  PyObject *__pyx_t_6 = NULL;
  int __pyx_t_7;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("genexpr", 0);
  switch (__pyx_generator->resume_label) {
    case 0: goto __pyx_L3_first_run;
    default: /* CPython raises the right error here */
    __Pyx_RefNannyFinishContext();
    return NULL;
  }
  __pyx_L3_first_run:;
  if (unlikely(!__pyx_sent_value)) __PYX_ERR(0, 1475, __pyx_L1_error)
  __pyx_r = PyList_New(0); if (unlikely(!__pyx_r)) __PYX_ERR(0, 1475, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_r);
  if (unlikely(!__pyx_cur_scope->__pyx_genexpr_arg_0)) { __Pyx_RaiseUnboundLocalError(".0"); __PYX_ERR(0, 1475, __pyx_L1_error) }
  if (likely(PyList_CheckExact(__pyx_cur_scope->__pyx_genexpr_arg_0)) || PyTuple_CheckExact(__pyx_cur_scope->__pyx_genexpr_arg_0)) {
    __pyx_t_1 = __pyx_cur_scope->__pyx_genexpr_arg_0; __Pyx_INCREF(__pyx_t_1);
    __pyx_t_2 = 0;
    __pyx_t_3 = NULL;
  } else {
    __pyx_t_2 = -1; __pyx_t_1 = PyObject_GetIter(__pyx_cur_scope->__pyx_genexpr_arg_0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1475, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_3 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1475, __pyx_L1_error)
  }
  for (;;) {
    if (likely(!__pyx_t_3)) {
      if (likely(PyList_CheckExact(__pyx_t_1))) {
        {
          Py_ssize_t __pyx_temp = __Pyx_PyList_GET_SIZE(__pyx_t_1);
          #if !CYTHON_ASSUME_SAFE_MACROS
          if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 1475, __pyx_L1_error)
          #endif
          if (__pyx_t_2 >= __pyx_temp) break;
        }
        #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
        __pyx_t_4 = PyList_GET_ITEM(__pyx_t_1, __pyx_t_2); __Pyx_INCREF(__pyx_t_4); __pyx_t_2++; if (unlikely((0 < 0))) __PYX_ERR(0, 1475, __pyx_L1_error)
        #else
        __pyx_t_4 = __Pyx_PySequence_ITEM(__pyx_t_1, __pyx_t_2); __pyx_t_2++; if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1475, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_4);
        #endif
      } else {
        {
          Py_ssize_t __pyx_temp = __Pyx_PyTuple_GET_SIZE(__pyx_t_1);
          #if !CYTHON_ASSUME_SAFE_MACROS
          if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 1475, __pyx_L1_error)
          #endif
          if (__pyx_t_2 >= __pyx_temp) break;
        }
        #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
        __pyx_t_4 = PyTuple_GET_ITEM(__pyx_t_1, __pyx_t_2); __Pyx_INCREF(__pyx_t_4); __pyx_t_2++; if (unlikely((0 < 0))) __PYX_ERR(0, 1475, __pyx_L1_error)
        #else
        __pyx_t_4 = __Pyx_PySequence_ITEM(__pyx_t_1, __pyx_t_2); __pyx_t_2++; if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1475, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_4);
        #endif
      }
    } else {
      __pyx_t_4 = __pyx_t_3(__pyx_t_1);
      if (unlikely(!__pyx_t_4)) {
        PyObject* exc_type = PyErr_Occurred();
        if (exc_type) {
          if (likely(__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration))) PyErr_Clear();
          else __PYX_ERR(0, 1475, __pyx_L1_error)
        }
        break;
      }
      __Pyx_GOTREF(__pyx_t_4);
    }
    __Pyx_XGOTREF(__pyx_cur_scope->__pyx_v_x);
    __Pyx_XDECREF_SET(__pyx_cur_scope->__pyx_v_x, __pyx_t_4);
    __Pyx_GIVEREF(__pyx_t_4);
    __pyx_t_4 = 0;
    __Pyx_GetModuleGlobalName(__pyx_t_5, __pyx_n_s_segmentrepr); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1475, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __pyx_t_6 = NULL;
    __pyx_t_7 = 0;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_5))) {
      __pyx_t_6 = PyMethod_GET_SELF(__pyx_t_5);
      if (likely(__pyx_t_6)) {
        PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_5);
        __Pyx_INCREF(__pyx_t_6);
        __Pyx_INCREF(function);
        __Pyx_DECREF_SET(__pyx_t_5, function);
        __pyx_t_7 = 1;
      }
    }
    #endif
    {
      PyObject *__pyx_callargs[2] = {__pyx_t_6, __pyx_cur_scope->__pyx_v_x};
      __pyx_t_4 = __Pyx_PyObject_FastCall(__pyx_t_5, __pyx_callargs+1-__pyx_t_7, 1+__pyx_t_7);
      __Pyx_XDECREF(__pyx_t_6); __pyx_t_6 = 0;
      if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1475, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_4);
      __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    }
    if (unlikely(__Pyx_ListComp_Append(__pyx_r, (PyObject*)__pyx_t_4))) __PYX_ERR(0, 1475, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  }
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  CYTHON_MAYBE_UNUSED_VAR(__pyx_cur_scope);

  /* function exit code */
  goto __pyx_L0;
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_r); __pyx_r = 0;
  __Pyx_Generator_Replace_StopIteration(0);
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_AddTraceback("genexpr", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  #if !CYTHON_USE_EXC_INFO_STACK
  __Pyx_Coroutine_ResetAndClearException(__pyx_generator);
  #endif
  __pyx_generator->resume_label = -1;
  __Pyx_Coroutine_clear((PyObject*)__pyx_generator);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1465
 * 
 * 
 * def _segmentrepr(obj):             # <<<<<<<<<<<<<<
 *     """
 *     >>> _segmentrepr([1, [2, 3], [], [[2, [3, 4], [0.1, 2.2]]]])
 */

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_92_segmentrepr(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj) {
  PyObject *__pyx_v_it = NULL;
  PyObject *__pyx_gb_9fontTools_4misc_11bezierTools_12_segmentrepr_2generator6 = 0;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  int __pyx_t_6;
  PyObject *__pyx_t_7 = NULL;
  PyObject *__pyx_t_8 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("_segmentrepr", 1);

  /* "fontTools/misc/bezierTools.py":1470
 *     '(1, (2, 3), (), ((2, (3, 4), (0.1, 2.2))))'
 *     """
 *     try:             # <<<<<<<<<<<<<<
 *         it = iter(obj)
 *     except TypeError:
 */
  {
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    __Pyx_ExceptionSave(&__pyx_t_1, &__pyx_t_2, &__pyx_t_3);
    __Pyx_XGOTREF(__pyx_t_1);
    __Pyx_XGOTREF(__pyx_t_2);
    __Pyx_XGOTREF(__pyx_t_3);
    /*try:*/ {

      /* "fontTools/misc/bezierTools.py":1471
 *     """
 *     try:
 *         it = iter(obj)             # <<<<<<<<<<<<<<
 *     except TypeError:
 *         return "%g" % obj
 */
      __pyx_t_4 = PyObject_GetIter(__pyx_v_obj); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1471, __pyx_L3_error)
      __Pyx_GOTREF(__pyx_t_4);
      __pyx_v_it = __pyx_t_4;
      __pyx_t_4 = 0;

      /* "fontTools/misc/bezierTools.py":1470
 *     '(1, (2, 3), (), ((2, (3, 4), (0.1, 2.2))))'
 *     """
 *     try:             # <<<<<<<<<<<<<<
 *         it = iter(obj)
 *     except TypeError:
 */
    }

    /* "fontTools/misc/bezierTools.py":1475
 *         return "%g" % obj
 *     else:
 *         return "(%s)" % ", ".join(_segmentrepr(x) for x in it)             # <<<<<<<<<<<<<<
 * 
 * 
 */
    /*else:*/ {
      __Pyx_XDECREF(__pyx_r);
      __pyx_t_4 = __pyx_pf_9fontTools_4misc_11bezierTools_12_segmentrepr_genexpr(NULL, __pyx_v_it); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1475, __pyx_L5_except_error)
      __Pyx_GOTREF(__pyx_t_4);
      __pyx_t_5 = __Pyx_Generator_Next(__pyx_t_4); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1475, __pyx_L5_except_error)
      __Pyx_GOTREF(__pyx_t_5);
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      __pyx_t_4 = PyUnicode_Join(__pyx_kp_u__9, __pyx_t_5); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1475, __pyx_L5_except_error)
      __Pyx_GOTREF(__pyx_t_4);
      __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
      __pyx_t_5 = PyUnicode_Format(__pyx_kp_u_s_2, __pyx_t_4); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1475, __pyx_L5_except_error)
      __Pyx_GOTREF(__pyx_t_5);
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      __pyx_r = __pyx_t_5;
      __pyx_t_5 = 0;
      goto __pyx_L6_except_return;
    }
    __pyx_L3_error:;
    __Pyx_XDECREF(__pyx_t_4); __pyx_t_4 = 0;

    /* "fontTools/misc/bezierTools.py":1472
 *     try:
 *         it = iter(obj)
 *     except TypeError:             # <<<<<<<<<<<<<<
 *         return "%g" % obj
 *     else:
 */
    __pyx_t_6 = __Pyx_PyErr_ExceptionMatches(__pyx_builtin_TypeError);
    if (__pyx_t_6) {
      __Pyx_AddTraceback("fontTools.misc.bezierTools._segmentrepr", __pyx_clineno, __pyx_lineno, __pyx_filename);
      if (__Pyx_GetException(&__pyx_t_5, &__pyx_t_4, &__pyx_t_7) < 0) __PYX_ERR(0, 1472, __pyx_L5_except_error)
      __Pyx_XGOTREF(__pyx_t_5);
      __Pyx_XGOTREF(__pyx_t_4);
      __Pyx_XGOTREF(__pyx_t_7);

      /* "fontTools/misc/bezierTools.py":1473
 *         it = iter(obj)
 *     except TypeError:
 *         return "%g" % obj             # <<<<<<<<<<<<<<
 *     else:
 *         return "(%s)" % ", ".join(_segmentrepr(x) for x in it)
 */
      __Pyx_XDECREF(__pyx_r);
      __pyx_t_8 = __Pyx_PyUnicode_FormatSafe(__pyx_kp_u_g, __pyx_v_obj); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1473, __pyx_L5_except_error)
      __Pyx_GOTREF(__pyx_t_8);
      __pyx_r = __pyx_t_8;
      __pyx_t_8 = 0;
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
      __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
      goto __pyx_L6_except_return;
    }
    goto __pyx_L5_except_error;

    /* "fontTools/misc/bezierTools.py":1470
 *     '(1, (2, 3), (), ((2, (3, 4), (0.1, 2.2))))'
 *     """
 *     try:             # <<<<<<<<<<<<<<
 *         it = iter(obj)
 *     except TypeError:
 */
    __pyx_L5_except_error:;
    __Pyx_XGIVEREF(__pyx_t_1);
    __Pyx_XGIVEREF(__pyx_t_2);
    __Pyx_XGIVEREF(__pyx_t_3);
    __Pyx_ExceptionReset(__pyx_t_1, __pyx_t_2, __pyx_t_3);
    goto __pyx_L1_error;
    __pyx_L6_except_return:;
    __Pyx_XGIVEREF(__pyx_t_1);
    __Pyx_XGIVEREF(__pyx_t_2);
    __Pyx_XGIVEREF(__pyx_t_3);
    __Pyx_ExceptionReset(__pyx_t_1, __pyx_t_2, __pyx_t_3);
    goto __pyx_L0;
  }

  /* "fontTools/misc/bezierTools.py":1465
 * 
 * 
 * def _segmentrepr(obj):             # <<<<<<<<<<<<<<
 *     """
 *     >>> _segmentrepr([1, [2, 3], [], [[2, [3, 4], [0.1, 2.2]]]])
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_7);
  __Pyx_XDECREF(__pyx_t_8);
  __Pyx_AddTraceback("fontTools.misc.bezierTools._segmentrepr", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_it);
  __Pyx_XDECREF(__pyx_gb_9fontTools_4misc_11bezierTools_12_segmentrepr_2generator6);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1478
 * 
 * 
 * def printSegments(segments):             # <<<<<<<<<<<<<<
 *     """Helper for the doctests, displaying each segment in a list of
 *     segments on a single line as a tuple.
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_95printSegments(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_9fontTools_4misc_11bezierTools_94printSegments, "printSegments(segments)\nHelper for the doctests, displaying each segment in a list of\n    segments on a single line as a tuple.\n    ");
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_95printSegments = {"printSegments", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_95printSegments, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_94printSegments};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_95printSegments(PyObject *__pyx_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  PyObject *__pyx_v_segments = 0;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED Py_ssize_t __pyx_nargs;
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  PyObject* values[1] = {0};
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("printSegments (wrapper)", 0);
  #if !CYTHON_METH_FASTCALL
  #if CYTHON_ASSUME_SAFE_MACROS
  __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #else
  __pyx_nargs = PyTuple_Size(__pyx_args); if (unlikely(__pyx_nargs < 0)) return NULL;
  #endif
  #endif
  __pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  {
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_segments,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
        if (likely((values[0] = __Pyx_GetKwValue_FASTCALL(__pyx_kwds, __pyx_kwvalues, __pyx_n_s_segments)) != 0)) {
          (void)__Pyx_Arg_NewRef_FASTCALL(values[0]);
          kw_args--;
        }
        else if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1478, __pyx_L3_error)
        else goto __pyx_L5_argtuple_error;
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t kwd_pos_args = __pyx_nargs;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_kwvalues, __pyx_pyargnames, 0, values + 0, kwd_pos_args, "printSegments") < 0)) __PYX_ERR(0, 1478, __pyx_L3_error)
      }
    } else if (unlikely(__pyx_nargs != 1)) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
    }
    __pyx_v_segments = values[0];
  }
  goto __pyx_L6_skip;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("printSegments", 1, 1, 1, __pyx_nargs); __PYX_ERR(0, 1478, __pyx_L3_error)
  __pyx_L6_skip:;
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L3_error:;
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_AddTraceback("fontTools.misc.bezierTools.printSegments", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_94printSegments(__pyx_self, __pyx_v_segments);

  /* function exit code */
  {
    Py_ssize_t __pyx_temp;
    for (__pyx_temp=0; __pyx_temp < (Py_ssize_t)(sizeof(values)/sizeof(values[0])); ++__pyx_temp) {
      __Pyx_Arg_XDECREF_FASTCALL(values[__pyx_temp]);
    }
  }
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_94printSegments(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_segments) {
  PyObject *__pyx_v_segment = NULL;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  Py_ssize_t __pyx_t_2;
  PyObject *(*__pyx_t_3)(PyObject *);
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  PyObject *__pyx_t_6 = NULL;
  int __pyx_t_7;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("printSegments", 1);

  /* "fontTools/misc/bezierTools.py":1482
 *     segments on a single line as a tuple.
 *     """
 *     for segment in segments:             # <<<<<<<<<<<<<<
 *         print(_segmentrepr(segment))
 * 
 */
  if (likely(PyList_CheckExact(__pyx_v_segments)) || PyTuple_CheckExact(__pyx_v_segments)) {
    __pyx_t_1 = __pyx_v_segments; __Pyx_INCREF(__pyx_t_1);
    __pyx_t_2 = 0;
    __pyx_t_3 = NULL;
  } else {
    __pyx_t_2 = -1; __pyx_t_1 = PyObject_GetIter(__pyx_v_segments); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1482, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_3 = __Pyx_PyObject_GetIterNextFunc(__pyx_t_1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1482, __pyx_L1_error)
  }
  for (;;) {
    if (likely(!__pyx_t_3)) {
      if (likely(PyList_CheckExact(__pyx_t_1))) {
        {
          Py_ssize_t __pyx_temp = __Pyx_PyList_GET_SIZE(__pyx_t_1);
          #if !CYTHON_ASSUME_SAFE_MACROS
          if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 1482, __pyx_L1_error)
          #endif
          if (__pyx_t_2 >= __pyx_temp) break;
        }
        #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
        __pyx_t_4 = PyList_GET_ITEM(__pyx_t_1, __pyx_t_2); __Pyx_INCREF(__pyx_t_4); __pyx_t_2++; if (unlikely((0 < 0))) __PYX_ERR(0, 1482, __pyx_L1_error)
        #else
        __pyx_t_4 = __Pyx_PySequence_ITEM(__pyx_t_1, __pyx_t_2); __pyx_t_2++; if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1482, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_4);
        #endif
      } else {
        {
          Py_ssize_t __pyx_temp = __Pyx_PyTuple_GET_SIZE(__pyx_t_1);
          #if !CYTHON_ASSUME_SAFE_MACROS
          if (unlikely((__pyx_temp < 0))) __PYX_ERR(0, 1482, __pyx_L1_error)
          #endif
          if (__pyx_t_2 >= __pyx_temp) break;
        }
        #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
        __pyx_t_4 = PyTuple_GET_ITEM(__pyx_t_1, __pyx_t_2); __Pyx_INCREF(__pyx_t_4); __pyx_t_2++; if (unlikely((0 < 0))) __PYX_ERR(0, 1482, __pyx_L1_error)
        #else
        __pyx_t_4 = __Pyx_PySequence_ITEM(__pyx_t_1, __pyx_t_2); __pyx_t_2++; if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1482, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_4);
        #endif
      }
    } else {
      __pyx_t_4 = __pyx_t_3(__pyx_t_1);
      if (unlikely(!__pyx_t_4)) {
        PyObject* exc_type = PyErr_Occurred();
        if (exc_type) {
          if (likely(__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration))) PyErr_Clear();
          else __PYX_ERR(0, 1482, __pyx_L1_error)
        }
        break;
      }
      __Pyx_GOTREF(__pyx_t_4);
    }
    __Pyx_XDECREF_SET(__pyx_v_segment, __pyx_t_4);
    __pyx_t_4 = 0;

    /* "fontTools/misc/bezierTools.py":1483
 *     """
 *     for segment in segments:
 *         print(_segmentrepr(segment))             # <<<<<<<<<<<<<<
 * 
 * 
 */
    __Pyx_GetModuleGlobalName(__pyx_t_5, __pyx_n_s_segmentrepr); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1483, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __pyx_t_6 = NULL;
    __pyx_t_7 = 0;
    #if CYTHON_UNPACK_METHODS
    if (unlikely(PyMethod_Check(__pyx_t_5))) {
      __pyx_t_6 = PyMethod_GET_SELF(__pyx_t_5);
      if (likely(__pyx_t_6)) {
        PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_5);
        __Pyx_INCREF(__pyx_t_6);
        __Pyx_INCREF(function);
        __Pyx_DECREF_SET(__pyx_t_5, function);
        __pyx_t_7 = 1;
      }
    }
    #endif
    {
      PyObject *__pyx_callargs[2] = {__pyx_t_6, __pyx_v_segment};
      __pyx_t_4 = __Pyx_PyObject_FastCall(__pyx_t_5, __pyx_callargs+1-__pyx_t_7, 1+__pyx_t_7);
      __Pyx_XDECREF(__pyx_t_6); __pyx_t_6 = 0;
      if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1483, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_4);
      __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    }
    __pyx_t_5 = __Pyx_PyObject_CallOneArg(__pyx_builtin_print, __pyx_t_4); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1483, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;

    /* "fontTools/misc/bezierTools.py":1482
 *     segments on a single line as a tuple.
 *     """
 *     for segment in segments:             # <<<<<<<<<<<<<<
 *         print(_segmentrepr(segment))
 * 
 */
  }
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1478
 * 
 * 
 * def printSegments(segments):             # <<<<<<<<<<<<<<
 *     """Helper for the doctests, displaying each segment in a list of
 *     segments on a single line as a tuple.
 */

  /* function exit code */
  __pyx_r = Py_None; __Pyx_INCREF(Py_None);
  goto __pyx_L0;
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_6);
  __Pyx_AddTraceback("fontTools.misc.bezierTools.printSegments", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF(__pyx_v_segment);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

#if CYTHON_USE_FREELISTS
static struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr *__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr[8];
static int __pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr = 0;
#endif

static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  PyObject *o;
  #if CYTHON_COMPILING_IN_LIMITED_API
  allocfunc alloc_func = (allocfunc)PyType_GetSlot(t, Py_tp_alloc);
  o = alloc_func(t, 0);
  #else
  #if CYTHON_USE_FREELISTS
  if (likely((int)(__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr > 0) & (int)(t->tp_basicsize == sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr)))) {
    o = (PyObject*)__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr[--__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr];
    memset(o, 0, sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr));
    (void) PyObject_INIT(o, t);
    PyObject_GC_Track(o);
  } else
  #endif
  {
    o = (*t->tp_alloc)(t, 0);
    if (unlikely(!o)) return 0;
  }
  #endif
  return o;
}

static void __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr(PyObject *o) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely((PY_VERSION_HEX >= 0x03080000 || __Pyx_PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE)) && __Pyx_PyObject_GetSlot(o, tp_finalize, destructor)) && !__Pyx_PyObject_GC_IsFinalized(o)) {
    if (__Pyx_PyObject_GetSlot(o, tp_dealloc, destructor) == __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr) {
      if (PyObject_CallFinalizerFromDealloc(o)) return;
    }
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->__pyx_genexpr_arg_0);
  Py_CLEAR(p->__pyx_v_t);
  #if CYTHON_USE_FREELISTS
  if (((int)(__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr < 8) & (int)(Py_TYPE(o)->tp_basicsize == sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr)))) {
    __pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr[__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr++] = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr *)o);
  } else
  #endif
  {
    #if CYTHON_USE_TYPE_SLOTS || CYTHON_COMPILING_IN_PYPY
    (*Py_TYPE(o)->tp_free)(o);
    #else
    {
      freefunc tp_free = (freefunc)PyType_GetSlot(Py_TYPE(o), Py_tp_free);
      if (tp_free) tp_free(o);
    }
    #endif
  }
}

static int __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr *)o;
  if (p->__pyx_genexpr_arg_0) {
    e = (*v)(p->__pyx_genexpr_arg_0, a); if (e) return e;
  }
  if (p->__pyx_v_t) {
    e = (*v)(p->__pyx_v_t, a); if (e) return e;
  }
  return 0;
}
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr_slots[] = {
  {Py_tp_dealloc, (void *)__pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr},
  {Py_tp_traverse, (void *)__pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr},
  {Py_tp_new, (void *)__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr},
  {0, 0},
};
static PyType_Spec __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr_spec = {
  "fontTools.misc.bezierTools.__pyx_scope_struct__genexpr",
  sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr),
  0,
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC|Py_TPFLAGS_HAVE_FINALIZE,
  __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr_slots,
};
#else

static PyTypeObject __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr = {
  PyVarObject_HEAD_INIT(0, 0)
  "fontTools.misc.bezierTools.""__pyx_scope_struct__genexpr", /*tp_name*/
  sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC|Py_TPFLAGS_HAVE_FINALIZE, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr, /*tp_traverse*/
  0, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  0, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  #if !CYTHON_USE_TYPE_SPECS
  0, /*tp_dictoffset*/
  #endif
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  #if CYTHON_USE_TP_FINALIZE
  0, /*tp_finalize*/
  #else
  NULL, /*tp_finalize*/
  #endif
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if __PYX_NEED_TP_PRINT_SLOT == 1
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030C0000
  0, /*tp_watched*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
  0, /*tp_pypy_flags*/
  #endif
};
#endif

#if CYTHON_USE_FREELISTS
static struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr *__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr[8];
static int __pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr = 0;
#endif

static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  PyObject *o;
  #if CYTHON_COMPILING_IN_LIMITED_API
  allocfunc alloc_func = (allocfunc)PyType_GetSlot(t, Py_tp_alloc);
  o = alloc_func(t, 0);
  #else
  #if CYTHON_USE_FREELISTS
  if (likely((int)(__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr > 0) & (int)(t->tp_basicsize == sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr)))) {
    o = (PyObject*)__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr[--__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr];
    memset(o, 0, sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr));
    (void) PyObject_INIT(o, t);
    PyObject_GC_Track(o);
  } else
  #endif
  {
    o = (*t->tp_alloc)(t, 0);
    if (unlikely(!o)) return 0;
  }
  #endif
  return o;
}

static void __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr(PyObject *o) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely((PY_VERSION_HEX >= 0x03080000 || __Pyx_PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE)) && __Pyx_PyObject_GetSlot(o, tp_finalize, destructor)) && !__Pyx_PyObject_GC_IsFinalized(o)) {
    if (__Pyx_PyObject_GetSlot(o, tp_dealloc, destructor) == __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr) {
      if (PyObject_CallFinalizerFromDealloc(o)) return;
    }
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->__pyx_genexpr_arg_0);
  Py_CLEAR(p->__pyx_v_t);
  #if CYTHON_USE_FREELISTS
  if (((int)(__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr < 8) & (int)(Py_TYPE(o)->tp_basicsize == sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr)))) {
    __pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr[__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr++] = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr *)o);
  } else
  #endif
  {
    #if CYTHON_USE_TYPE_SLOTS || CYTHON_COMPILING_IN_PYPY
    (*Py_TYPE(o)->tp_free)(o);
    #else
    {
      freefunc tp_free = (freefunc)PyType_GetSlot(Py_TYPE(o), Py_tp_free);
      if (tp_free) tp_free(o);
    }
    #endif
  }
}

static int __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr *)o;
  if (p->__pyx_genexpr_arg_0) {
    e = (*v)(p->__pyx_genexpr_arg_0, a); if (e) return e;
  }
  if (p->__pyx_v_t) {
    e = (*v)(p->__pyx_v_t, a); if (e) return e;
  }
  return 0;
}
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr_slots[] = {
  {Py_tp_dealloc, (void *)__pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr},
  {Py_tp_traverse, (void *)__pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr},
  {Py_tp_new, (void *)__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr},
  {0, 0},
};
static PyType_Spec __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr_spec = {
  "fontTools.misc.bezierTools.__pyx_scope_struct_1_genexpr",
  sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr),
  0,
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC|Py_TPFLAGS_HAVE_FINALIZE,
  __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr_slots,
};
#else

static PyTypeObject __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr = {
  PyVarObject_HEAD_INIT(0, 0)
  "fontTools.misc.bezierTools.""__pyx_scope_struct_1_genexpr", /*tp_name*/
  sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC|Py_TPFLAGS_HAVE_FINALIZE, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr, /*tp_traverse*/
  0, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  0, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  #if !CYTHON_USE_TYPE_SPECS
  0, /*tp_dictoffset*/
  #endif
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  #if CYTHON_USE_TP_FINALIZE
  0, /*tp_finalize*/
  #else
  NULL, /*tp_finalize*/
  #endif
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if __PYX_NEED_TP_PRINT_SLOT == 1
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030C0000
  0, /*tp_watched*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
  0, /*tp_pypy_flags*/
  #endif
};
#endif

#if CYTHON_USE_FREELISTS
static struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC *__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC[8];
static int __pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC = 0;
#endif

static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  PyObject *o;
  #if CYTHON_COMPILING_IN_LIMITED_API
  allocfunc alloc_func = (allocfunc)PyType_GetSlot(t, Py_tp_alloc);
  o = alloc_func(t, 0);
  #else
  #if CYTHON_USE_FREELISTS
  if (likely((int)(__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC > 0) & (int)(t->tp_basicsize == sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC)))) {
    o = (PyObject*)__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC[--__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC];
    memset(o, 0, sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC));
    (void) PyObject_INIT(o, t);
    PyObject_GC_Track(o);
  } else
  #endif
  {
    o = (*t->tp_alloc)(t, 0);
    if (unlikely(!o)) return 0;
  }
  #endif
  return o;
}

static void __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC(PyObject *o) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely((PY_VERSION_HEX >= 0x03080000 || __Pyx_PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE)) && __Pyx_PyObject_GetSlot(o, tp_finalize, destructor)) && !__Pyx_PyObject_GC_IsFinalized(o)) {
    if (__Pyx_PyObject_GetSlot(o, tp_dealloc, destructor) == __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC) {
      if (PyObject_CallFinalizerFromDealloc(o)) return;
    }
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->__pyx_v_ts);
  #if CYTHON_USE_FREELISTS
  if (((int)(__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC < 8) & (int)(Py_TYPE(o)->tp_basicsize == sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC)))) {
    __pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC[__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC++] = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC *)o);
  } else
  #endif
  {
    #if CYTHON_USE_TYPE_SLOTS || CYTHON_COMPILING_IN_PYPY
    (*Py_TYPE(o)->tp_free)(o);
    #else
    {
      freefunc tp_free = (freefunc)PyType_GetSlot(Py_TYPE(o), Py_tp_free);
      if (tp_free) tp_free(o);
    }
    #endif
  }
}

static int __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC *)o;
  if (p->__pyx_v_ts) {
    e = (*v)(p->__pyx_v_ts, a); if (e) return e;
  }
  return 0;
}
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC_slots[] = {
  {Py_tp_dealloc, (void *)__pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC},
  {Py_tp_traverse, (void *)__pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC},
  {Py_tp_new, (void *)__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC},
  {0, 0},
};
static PyType_Spec __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC_spec = {
  "fontTools.misc.bezierTools.__pyx_scope_struct_2_splitCubicAtTC",
  sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC),
  0,
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC|Py_TPFLAGS_HAVE_FINALIZE,
  __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC_slots,
};
#else

static PyTypeObject __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC = {
  PyVarObject_HEAD_INIT(0, 0)
  "fontTools.misc.bezierTools.""__pyx_scope_struct_2_splitCubicAtTC", /*tp_name*/
  sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC|Py_TPFLAGS_HAVE_FINALIZE, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC, /*tp_traverse*/
  0, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  0, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  #if !CYTHON_USE_TYPE_SPECS
  0, /*tp_dictoffset*/
  #endif
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  #if CYTHON_USE_TP_FINALIZE
  0, /*tp_finalize*/
  #else
  NULL, /*tp_finalize*/
  #endif
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if __PYX_NEED_TP_PRINT_SLOT == 1
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030C0000
  0, /*tp_watched*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
  0, /*tp_pypy_flags*/
  #endif
};
#endif

#if CYTHON_USE_FREELISTS
static struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC *__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC[8];
static int __pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC = 0;
#endif

static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  PyObject *o;
  #if CYTHON_COMPILING_IN_LIMITED_API
  allocfunc alloc_func = (allocfunc)PyType_GetSlot(t, Py_tp_alloc);
  o = alloc_func(t, 0);
  #else
  #if CYTHON_USE_FREELISTS
  if (likely((int)(__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC > 0) & (int)(t->tp_basicsize == sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC)))) {
    o = (PyObject*)__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC[--__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC];
    memset(o, 0, sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC));
    (void) PyObject_INIT(o, t);
    PyObject_GC_Track(o);
  } else
  #endif
  {
    o = (*t->tp_alloc)(t, 0);
    if (unlikely(!o)) return 0;
  }
  #endif
  return o;
}

static void __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC(PyObject *o) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely((PY_VERSION_HEX >= 0x03080000 || __Pyx_PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE)) && __Pyx_PyObject_GetSlot(o, tp_finalize, destructor)) && !__Pyx_PyObject_GC_IsFinalized(o)) {
    if (__Pyx_PyObject_GetSlot(o, tp_dealloc, destructor) == __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC) {
      if (PyObject_CallFinalizerFromDealloc(o)) return;
    }
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->__pyx_v_i);
  Py_CLEAR(p->__pyx_v_pt1);
  Py_CLEAR(p->__pyx_v_pt2);
  Py_CLEAR(p->__pyx_v_pt3);
  Py_CLEAR(p->__pyx_v_pt4);
  Py_CLEAR(p->__pyx_v_ts);
  Py_CLEAR(p->__pyx_t_0);
  #if CYTHON_USE_FREELISTS
  if (((int)(__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC < 8) & (int)(Py_TYPE(o)->tp_basicsize == sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC)))) {
    __pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC[__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC++] = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC *)o);
  } else
  #endif
  {
    #if CYTHON_USE_TYPE_SLOTS || CYTHON_COMPILING_IN_PYPY
    (*Py_TYPE(o)->tp_free)(o);
    #else
    {
      freefunc tp_free = (freefunc)PyType_GetSlot(Py_TYPE(o), Py_tp_free);
      if (tp_free) tp_free(o);
    }
    #endif
  }
}

static int __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC *)o;
  if (p->__pyx_v_i) {
    e = (*v)(p->__pyx_v_i, a); if (e) return e;
  }
  if (p->__pyx_v_pt1) {
    e = (*v)(p->__pyx_v_pt1, a); if (e) return e;
  }
  if (p->__pyx_v_pt2) {
    e = (*v)(p->__pyx_v_pt2, a); if (e) return e;
  }
  if (p->__pyx_v_pt3) {
    e = (*v)(p->__pyx_v_pt3, a); if (e) return e;
  }
  if (p->__pyx_v_pt4) {
    e = (*v)(p->__pyx_v_pt4, a); if (e) return e;
  }
  if (p->__pyx_v_ts) {
    e = (*v)(p->__pyx_v_ts, a); if (e) return e;
  }
  if (p->__pyx_t_0) {
    e = (*v)(p->__pyx_t_0, a); if (e) return e;
  }
  return 0;
}
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC_slots[] = {
  {Py_tp_dealloc, (void *)__pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC},
  {Py_tp_traverse, (void *)__pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC},
  {Py_tp_new, (void *)__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC},
  {0, 0},
};
static PyType_Spec __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC_spec = {
  "fontTools.misc.bezierTools.__pyx_scope_struct_3__splitCubicAtTC",
  sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC),
  0,
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC|Py_TPFLAGS_HAVE_FINALIZE,
  __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC_slots,
};
#else

static PyTypeObject __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC = {
  PyVarObject_HEAD_INIT(0, 0)
  "fontTools.misc.bezierTools.""__pyx_scope_struct_3__splitCubicAtTC", /*tp_name*/
  sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC|Py_TPFLAGS_HAVE_FINALIZE, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC, /*tp_traverse*/
  0, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  0, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  #if !CYTHON_USE_TYPE_SPECS
  0, /*tp_dictoffset*/
  #endif
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  #if CYTHON_USE_TP_FINALIZE
  0, /*tp_finalize*/
  #else
  NULL, /*tp_finalize*/
  #endif
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if __PYX_NEED_TP_PRINT_SLOT == 1
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030C0000
  0, /*tp_watched*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
  0, /*tp_pypy_flags*/
  #endif
};
#endif

#if CYTHON_USE_FREELISTS
static struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr *__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr[8];
static int __pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr = 0;
#endif

static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  PyObject *o;
  #if CYTHON_COMPILING_IN_LIMITED_API
  allocfunc alloc_func = (allocfunc)PyType_GetSlot(t, Py_tp_alloc);
  o = alloc_func(t, 0);
  #else
  #if CYTHON_USE_FREELISTS
  if (likely((int)(__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr > 0) & (int)(t->tp_basicsize == sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr)))) {
    o = (PyObject*)__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr[--__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr];
    memset(o, 0, sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr));
    (void) PyObject_INIT(o, t);
    PyObject_GC_Track(o);
  } else
  #endif
  {
    o = (*t->tp_alloc)(t, 0);
    if (unlikely(!o)) return 0;
  }
  #endif
  return o;
}

static void __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr(PyObject *o) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely((PY_VERSION_HEX >= 0x03080000 || __Pyx_PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE)) && __Pyx_PyObject_GetSlot(o, tp_finalize, destructor)) && !__Pyx_PyObject_GC_IsFinalized(o)) {
    if (__Pyx_PyObject_GetSlot(o, tp_dealloc, destructor) == __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr) {
      if (PyObject_CallFinalizerFromDealloc(o)) return;
    }
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->__pyx_genexpr_arg_0);
  Py_CLEAR(p->__pyx_v_i);
  #if CYTHON_USE_FREELISTS
  if (((int)(__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr < 8) & (int)(Py_TYPE(o)->tp_basicsize == sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr)))) {
    __pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr[__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr++] = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr *)o);
  } else
  #endif
  {
    #if CYTHON_USE_TYPE_SLOTS || CYTHON_COMPILING_IN_PYPY
    (*Py_TYPE(o)->tp_free)(o);
    #else
    {
      freefunc tp_free = (freefunc)PyType_GetSlot(Py_TYPE(o), Py_tp_free);
      if (tp_free) tp_free(o);
    }
    #endif
  }
}

static int __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr *)o;
  if (p->__pyx_genexpr_arg_0) {
    e = (*v)(p->__pyx_genexpr_arg_0, a); if (e) return e;
  }
  if (p->__pyx_v_i) {
    e = (*v)(p->__pyx_v_i, a); if (e) return e;
  }
  return 0;
}
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr_slots[] = {
  {Py_tp_dealloc, (void *)__pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr},
  {Py_tp_traverse, (void *)__pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr},
  {Py_tp_new, (void *)__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr},
  {0, 0},
};
static PyType_Spec __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr_spec = {
  "fontTools.misc.bezierTools.__pyx_scope_struct_4_genexpr",
  sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr),
  0,
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC|Py_TPFLAGS_HAVE_FINALIZE,
  __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr_slots,
};
#else

static PyTypeObject __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr = {
  PyVarObject_HEAD_INIT(0, 0)
  "fontTools.misc.bezierTools.""__pyx_scope_struct_4_genexpr", /*tp_name*/
  sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC|Py_TPFLAGS_HAVE_FINALIZE, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr, /*tp_traverse*/
  0, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  0, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  #if !CYTHON_USE_TYPE_SPECS
  0, /*tp_dictoffset*/
  #endif
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  #if CYTHON_USE_TP_FINALIZE
  0, /*tp_finalize*/
  #else
  NULL, /*tp_finalize*/
  #endif
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if __PYX_NEED_TP_PRINT_SLOT == 1
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030C0000
  0, /*tp_watched*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
  0, /*tp_pypy_flags*/
  #endif
};
#endif

#if CYTHON_USE_FREELISTS
static struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t *__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t[8];
static int __pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t = 0;
#endif

static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  PyObject *o;
  #if CYTHON_COMPILING_IN_LIMITED_API
  allocfunc alloc_func = (allocfunc)PyType_GetSlot(t, Py_tp_alloc);
  o = alloc_func(t, 0);
  #else
  #if CYTHON_USE_FREELISTS
  if (likely((int)(__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t > 0) & (int)(t->tp_basicsize == sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t)))) {
    o = (PyObject*)__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t[--__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t];
    memset(o, 0, sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t));
    (void) PyObject_INIT(o, t);
    PyObject_GC_Track(o);
  } else
  #endif
  {
    o = (*t->tp_alloc)(t, 0);
    if (unlikely(!o)) return 0;
  }
  #endif
  return o;
}

static void __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t(PyObject *o) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely((PY_VERSION_HEX >= 0x03080000 || __Pyx_PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE)) && __Pyx_PyObject_GetSlot(o, tp_finalize, destructor)) && !__Pyx_PyObject_GC_IsFinalized(o)) {
    if (__Pyx_PyObject_GetSlot(o, tp_dealloc, destructor) == __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t) {
      if (PyObject_CallFinalizerFromDealloc(o)) return;
    }
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->__pyx_v_precision);
  #if CYTHON_USE_FREELISTS
  if (((int)(__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t < 8) & (int)(Py_TYPE(o)->tp_basicsize == sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t)))) {
    __pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t[__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t++] = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t *)o);
  } else
  #endif
  {
    #if CYTHON_USE_TYPE_SLOTS || CYTHON_COMPILING_IN_PYPY
    (*Py_TYPE(o)->tp_free)(o);
    #else
    {
      freefunc tp_free = (freefunc)PyType_GetSlot(Py_TYPE(o), Py_tp_free);
      if (tp_free) tp_free(o);
    }
    #endif
  }
}

static int __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t *)o;
  if (p->__pyx_v_precision) {
    e = (*v)(p->__pyx_v_precision, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t *)o;
  tmp = ((PyObject*)p->__pyx_v_precision);
  p->__pyx_v_precision = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t_slots[] = {
  {Py_tp_dealloc, (void *)__pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t},
  {Py_tp_traverse, (void *)__pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t},
  {Py_tp_clear, (void *)__pyx_tp_clear_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t},
  {Py_tp_new, (void *)__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t},
  {0, 0},
};
static PyType_Spec __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t_spec = {
  "fontTools.misc.bezierTools.__pyx_scope_struct_5__curve_curve_intersections_t",
  sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t),
  0,
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC|Py_TPFLAGS_HAVE_FINALIZE,
  __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t_slots,
};
#else

static PyTypeObject __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t = {
  PyVarObject_HEAD_INIT(0, 0)
  "fontTools.misc.bezierTools.""__pyx_scope_struct_5__curve_curve_intersections_t", /*tp_name*/
  sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC|Py_TPFLAGS_HAVE_FINALIZE, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t, /*tp_traverse*/
  __pyx_tp_clear_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  0, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  #if !CYTHON_USE_TYPE_SPECS
  0, /*tp_dictoffset*/
  #endif
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  #if CYTHON_USE_TP_FINALIZE
  0, /*tp_finalize*/
  #else
  NULL, /*tp_finalize*/
  #endif
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if __PYX_NEED_TP_PRINT_SLOT == 1
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030C0000
  0, /*tp_watched*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
  0, /*tp_pypy_flags*/
  #endif
};
#endif

#if CYTHON_USE_FREELISTS
static struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr *__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr[8];
static int __pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr = 0;
#endif

static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  PyObject *o;
  #if CYTHON_COMPILING_IN_LIMITED_API
  allocfunc alloc_func = (allocfunc)PyType_GetSlot(t, Py_tp_alloc);
  o = alloc_func(t, 0);
  #else
  #if CYTHON_USE_FREELISTS
  if (likely((int)(__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr > 0) & (int)(t->tp_basicsize == sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr)))) {
    o = (PyObject*)__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr[--__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr];
    memset(o, 0, sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr));
    (void) PyObject_INIT(o, t);
    PyObject_GC_Track(o);
  } else
  #endif
  {
    o = (*t->tp_alloc)(t, 0);
    if (unlikely(!o)) return 0;
  }
  #endif
  return o;
}

static void __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr(PyObject *o) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely((PY_VERSION_HEX >= 0x03080000 || __Pyx_PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE)) && __Pyx_PyObject_GetSlot(o, tp_finalize, destructor)) && !__Pyx_PyObject_GC_IsFinalized(o)) {
    if (__Pyx_PyObject_GetSlot(o, tp_dealloc, destructor) == __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr) {
      if (PyObject_CallFinalizerFromDealloc(o)) return;
    }
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->__pyx_genexpr_arg_0);
  Py_CLEAR(p->__pyx_v_p);
  #if CYTHON_USE_FREELISTS
  if (((int)(__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr < 8) & (int)(Py_TYPE(o)->tp_basicsize == sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr)))) {
    __pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr[__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr++] = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr *)o);
  } else
  #endif
  {
    #if CYTHON_USE_TYPE_SLOTS || CYTHON_COMPILING_IN_PYPY
    (*Py_TYPE(o)->tp_free)(o);
    #else
    {
      freefunc tp_free = (freefunc)PyType_GetSlot(Py_TYPE(o), Py_tp_free);
      if (tp_free) tp_free(o);
    }
    #endif
  }
}

static int __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr *)o;
  if (p->__pyx_genexpr_arg_0) {
    e = (*v)(p->__pyx_genexpr_arg_0, a); if (e) return e;
  }
  if (p->__pyx_v_p) {
    e = (*v)(p->__pyx_v_p, a); if (e) return e;
  }
  return 0;
}
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr_slots[] = {
  {Py_tp_dealloc, (void *)__pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr},
  {Py_tp_traverse, (void *)__pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr},
  {Py_tp_new, (void *)__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr},
  {0, 0},
};
static PyType_Spec __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr_spec = {
  "fontTools.misc.bezierTools.__pyx_scope_struct_6_genexpr",
  sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr),
  0,
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC|Py_TPFLAGS_HAVE_FINALIZE,
  __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr_slots,
};
#else

static PyTypeObject __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr = {
  PyVarObject_HEAD_INIT(0, 0)
  "fontTools.misc.bezierTools.""__pyx_scope_struct_6_genexpr", /*tp_name*/
  sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC|Py_TPFLAGS_HAVE_FINALIZE, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr, /*tp_traverse*/
  0, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  0, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  #if !CYTHON_USE_TYPE_SPECS
  0, /*tp_dictoffset*/
  #endif
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  #if CYTHON_USE_TP_FINALIZE
  0, /*tp_finalize*/
  #else
  NULL, /*tp_finalize*/
  #endif
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if __PYX_NEED_TP_PRINT_SLOT == 1
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030C0000
  0, /*tp_watched*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
  0, /*tp_pypy_flags*/
  #endif
};
#endif

#if CYTHON_USE_FREELISTS
static struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr *__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr[8];
static int __pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr = 0;
#endif

static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  PyObject *o;
  #if CYTHON_COMPILING_IN_LIMITED_API
  allocfunc alloc_func = (allocfunc)PyType_GetSlot(t, Py_tp_alloc);
  o = alloc_func(t, 0);
  #else
  #if CYTHON_USE_FREELISTS
  if (likely((int)(__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr > 0) & (int)(t->tp_basicsize == sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr)))) {
    o = (PyObject*)__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr[--__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr];
    memset(o, 0, sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr));
    (void) PyObject_INIT(o, t);
    PyObject_GC_Track(o);
  } else
  #endif
  {
    o = (*t->tp_alloc)(t, 0);
    if (unlikely(!o)) return 0;
  }
  #endif
  return o;
}

static void __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr(PyObject *o) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely((PY_VERSION_HEX >= 0x03080000 || __Pyx_PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE)) && __Pyx_PyObject_GetSlot(o, tp_finalize, destructor)) && !__Pyx_PyObject_GC_IsFinalized(o)) {
    if (__Pyx_PyObject_GetSlot(o, tp_dealloc, destructor) == __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr) {
      if (PyObject_CallFinalizerFromDealloc(o)) return;
    }
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->__pyx_genexpr_arg_0);
  Py_CLEAR(p->__pyx_v_x);
  #if CYTHON_USE_FREELISTS
  if (((int)(__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr < 8) & (int)(Py_TYPE(o)->tp_basicsize == sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr)))) {
    __pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr[__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr++] = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr *)o);
  } else
  #endif
  {
    #if CYTHON_USE_TYPE_SLOTS || CYTHON_COMPILING_IN_PYPY
    (*Py_TYPE(o)->tp_free)(o);
    #else
    {
      freefunc tp_free = (freefunc)PyType_GetSlot(Py_TYPE(o), Py_tp_free);
      if (tp_free) tp_free(o);
    }
    #endif
  }
}

static int __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr *)o;
  if (p->__pyx_genexpr_arg_0) {
    e = (*v)(p->__pyx_genexpr_arg_0, a); if (e) return e;
  }
  if (p->__pyx_v_x) {
    e = (*v)(p->__pyx_v_x, a); if (e) return e;
  }
  return 0;
}
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr_slots[] = {
  {Py_tp_dealloc, (void *)__pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr},
  {Py_tp_traverse, (void *)__pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr},
  {Py_tp_new, (void *)__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr},
  {0, 0},
};
static PyType_Spec __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr_spec = {
  "fontTools.misc.bezierTools.__pyx_scope_struct_7_genexpr",
  sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr),
  0,
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC|Py_TPFLAGS_HAVE_FINALIZE,
  __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr_slots,
};
#else

static PyTypeObject __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr = {
  PyVarObject_HEAD_INIT(0, 0)
  "fontTools.misc.bezierTools.""__pyx_scope_struct_7_genexpr", /*tp_name*/
  sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC|Py_TPFLAGS_HAVE_FINALIZE, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr, /*tp_traverse*/
  0, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  0, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  #if !CYTHON_USE_TYPE_SPECS
  0, /*tp_dictoffset*/
  #endif
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  #if CYTHON_USE_TP_FINALIZE
  0, /*tp_finalize*/
  #else
  NULL, /*tp_finalize*/
  #endif
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if __PYX_NEED_TP_PRINT_SLOT == 1
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030C0000
  0, /*tp_watched*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
  0, /*tp_pypy_flags*/
  #endif
};
#endif

static PyMethodDef __pyx_methods[] = {
  {0, 0, 0, 0}
};
#ifndef CYTHON_SMALL_CODE
#if defined(__clang__)
    #define CYTHON_SMALL_CODE
#elif defined(__GNUC__) && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 3))
    #define CYTHON_SMALL_CODE __attribute__((cold))
#else
    #define CYTHON_SMALL_CODE
#endif
#endif
/* #### Code section: pystring_table ### */

static int __Pyx_CreateStringTabAndInitStrings(void) {
  __Pyx_StringTabEntry __pyx_string_tab[] = {
    {&__pyx_n_s_1_t, __pyx_k_1_t, sizeof(__pyx_k_1_t), 0, 0, 1, 1},
    {&__pyx_n_s_1_t_2, __pyx_k_1_t_2, sizeof(__pyx_k_1_t_2), 0, 0, 1, 1},
    {&__pyx_n_s_2_t_1_t, __pyx_k_2_t_1_t, sizeof(__pyx_k_2_t_1_t), 0, 0, 1, 1},
    {&__pyx_kp_u_Approximates_the_arc_length_for, __pyx_k_Approximates_the_arc_length_for, sizeof(__pyx_k_Approximates_the_arc_length_for), 0, 1, 0, 0},
    {&__pyx_n_s_AttributeError, __pyx_k_AttributeError, sizeof(__pyx_k_AttributeError), 0, 0, 1, 1},
    {&__pyx_n_s_COMPILED, __pyx_k_COMPILED, sizeof(__pyx_k_COMPILED), 0, 0, 1, 1},
    {&__pyx_kp_u_Calculates_the_arc_length_for_a, __pyx_k_Calculates_the_arc_length_for_a, sizeof(__pyx_k_Calculates_the_arc_length_for_a), 0, 1, 0, 0},
    {&__pyx_kp_u_Calculates_the_bounding_rectangl, __pyx_k_Calculates_the_bounding_rectangl, sizeof(__pyx_k_Calculates_the_bounding_rectangl), 0, 1, 0, 0},
    {&__pyx_kp_u_Calculates_the_bounding_rectangl_2, __pyx_k_Calculates_the_bounding_rectangl_2, sizeof(__pyx_k_Calculates_the_bounding_rectangl_2), 0, 1, 0, 0},
    {&__pyx_kp_u_Couldn_t_work_out_which_intersec, __pyx_k_Couldn_t_work_out_which_intersec, sizeof(__pyx_k_Couldn_t_work_out_which_intersec), 0, 1, 0, 0},
    {&__pyx_n_s_DD, __pyx_k_DD, sizeof(__pyx_k_DD), 0, 0, 1, 1},
    {&__pyx_kp_u_Finds_intersections_between_a_cu, __pyx_k_Finds_intersections_between_a_cu, sizeof(__pyx_k_Finds_intersections_between_a_cu), 0, 1, 0, 0},
    {&__pyx_kp_u_Finds_intersections_between_a_cu_2, __pyx_k_Finds_intersections_between_a_cu_2, sizeof(__pyx_k_Finds_intersections_between_a_cu_2), 0, 1, 0, 0},
    {&__pyx_kp_u_Finds_intersections_between_two, __pyx_k_Finds_intersections_between_two, sizeof(__pyx_k_Finds_intersections_between_two), 0, 1, 0, 0},
    {&__pyx_kp_u_Finds_intersections_between_two_2, __pyx_k_Finds_intersections_between_two_2, sizeof(__pyx_k_Finds_intersections_between_two_2), 0, 1, 0, 0},
    {&__pyx_n_s_Identity, __pyx_k_Identity, sizeof(__pyx_k_Identity), 0, 0, 1, 1},
    {&__pyx_n_s_ImportError, __pyx_k_ImportError, sizeof(__pyx_k_ImportError), 0, 0, 1, 1},
    {&__pyx_n_s_Intersection, __pyx_k_Intersection, sizeof(__pyx_k_Intersection), 0, 0, 1, 1},
    {&__pyx_n_u_Intersection, __pyx_k_Intersection, sizeof(__pyx_k_Intersection), 0, 1, 0, 1},
    {&__pyx_n_s_Len, __pyx_k_Len, sizeof(__pyx_k_Len), 0, 0, 1, 1},
    {&__pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_k_Lib_fontTools_misc_bezierTools_p, sizeof(__pyx_k_Lib_fontTools_misc_bezierTools_p), 0, 0, 1, 0},
    {&__pyx_n_s_Q, __pyx_k_Q, sizeof(__pyx_k_Q), 0, 0, 1, 1},
    {&__pyx_n_s_Q3, __pyx_k_Q3, sizeof(__pyx_k_Q3), 0, 0, 1, 1},
    {&__pyx_n_s_R, __pyx_k_R, sizeof(__pyx_k_R), 0, 0, 1, 1},
    {&__pyx_n_s_R2, __pyx_k_R2, sizeof(__pyx_k_R2), 0, 0, 1, 1},
    {&__pyx_n_s_R2_Q3, __pyx_k_R2_Q3, sizeof(__pyx_k_R2_Q3), 0, 0, 1, 1},
    {&__pyx_kp_u_Solve_a_cubic_equation_Solves_a, __pyx_k_Solve_a_cubic_equation_Solves_a, sizeof(__pyx_k_Solve_a_cubic_equation_Solves_a), 0, 1, 0, 0},
    {&__pyx_kp_u_Split_a_cubic_Bezier_curve_at_a, __pyx_k_Split_a_cubic_Bezier_curve_at_a, sizeof(__pyx_k_Split_a_cubic_Bezier_curve_at_a), 0, 1, 0, 0},
    {&__pyx_kp_u_Split_a_cubic_Bezier_curve_at_on, __pyx_k_Split_a_cubic_Bezier_curve_at_on, sizeof(__pyx_k_Split_a_cubic_Bezier_curve_at_on), 0, 1, 0, 0},
    {&__pyx_kp_u_Split_a_line_at_a_given_coordina, __pyx_k_Split_a_line_at_a_given_coordina, sizeof(__pyx_k_Split_a_line_at_a_given_coordina), 0, 1, 0, 0},
    {&__pyx_kp_u_Split_a_quadratic_Bezier_curve_a, __pyx_k_Split_a_quadratic_Bezier_curve_a, sizeof(__pyx_k_Split_a_quadratic_Bezier_curve_a), 0, 1, 0, 0},
    {&__pyx_kp_u_Split_a_quadratic_Bezier_curve_a_2, __pyx_k_Split_a_quadratic_Bezier_curve_a_2, sizeof(__pyx_k_Split_a_quadratic_Bezier_curve_a_2), 0, 1, 0, 0},
    {&__pyx_n_s_TypeError, __pyx_k_TypeError, sizeof(__pyx_k_TypeError), 0, 0, 1, 1},
    {&__pyx_kp_u_Unknown_curve_degree, __pyx_k_Unknown_curve_degree, sizeof(__pyx_k_Unknown_curve_degree), 0, 1, 0, 0},
    {&__pyx_n_s_ValueError, __pyx_k_ValueError, sizeof(__pyx_k_ValueError), 0, 0, 1, 1},
    {&__pyx_kp_u__10, __pyx_k__10, sizeof(__pyx_k__10), 0, 1, 0, 0},
    {&__pyx_n_s__105, __pyx_k__105, sizeof(__pyx_k__105), 0, 0, 1, 1},
    {&__pyx_n_s__11, __pyx_k__11, sizeof(__pyx_k__11), 0, 0, 1, 1},
    {&__pyx_kp_u__9, __pyx_k__9, sizeof(__pyx_k__9), 0, 1, 0, 0},
    {&__pyx_n_s__91, __pyx_k__91, sizeof(__pyx_k__91), 0, 0, 1, 1},
    {&__pyx_n_s_a, __pyx_k_a, sizeof(__pyx_k_a), 0, 0, 1, 1},
    {&__pyx_n_s_a1, __pyx_k_a1, sizeof(__pyx_k_a1), 0, 0, 1, 1},
    {&__pyx_n_s_a1_3, __pyx_k_a1_3, sizeof(__pyx_k_a1_3), 0, 0, 1, 1},
    {&__pyx_n_s_a1x, __pyx_k_a1x, sizeof(__pyx_k_a1x), 0, 0, 1, 1},
    {&__pyx_n_s_a1y, __pyx_k_a1y, sizeof(__pyx_k_a1y), 0, 0, 1, 1},
    {&__pyx_n_s_a2, __pyx_k_a2, sizeof(__pyx_k_a2), 0, 0, 1, 1},
    {&__pyx_n_s_a3, __pyx_k_a3, sizeof(__pyx_k_a3), 0, 0, 1, 1},
    {&__pyx_n_s_acos, __pyx_k_acos, sizeof(__pyx_k_acos), 0, 0, 1, 1},
    {&__pyx_n_s_aligned_curve, __pyx_k_aligned_curve, sizeof(__pyx_k_aligned_curve), 0, 0, 1, 1},
    {&__pyx_n_s_alignment_transformation, __pyx_k_alignment_transformation, sizeof(__pyx_k_alignment_transformation), 0, 0, 1, 1},
    {&__pyx_n_s_all, __pyx_k_all, sizeof(__pyx_k_all), 0, 0, 1, 1},
    {&__pyx_n_s_angle, __pyx_k_angle, sizeof(__pyx_k_angle), 0, 0, 1, 1},
    {&__pyx_n_s_append, __pyx_k_append, sizeof(__pyx_k_append), 0, 0, 1, 1},
    {&__pyx_n_s_approximateCubicArcLength, __pyx_k_approximateCubicArcLength, sizeof(__pyx_k_approximateCubicArcLength), 0, 0, 1, 1},
    {&__pyx_n_u_approximateCubicArcLength, __pyx_k_approximateCubicArcLength, sizeof(__pyx_k_approximateCubicArcLength), 0, 1, 0, 1},
    {&__pyx_n_s_approximateCubicArcLengthC, __pyx_k_approximateCubicArcLengthC, sizeof(__pyx_k_approximateCubicArcLengthC), 0, 0, 1, 1},
    {&__pyx_n_u_approximateCubicArcLengthC, __pyx_k_approximateCubicArcLengthC, sizeof(__pyx_k_approximateCubicArcLengthC), 0, 1, 0, 1},
    {&__pyx_kp_u_approximateCubicArcLength_line_3, __pyx_k_approximateCubicArcLength_line_3, sizeof(__pyx_k_approximateCubicArcLength_line_3), 0, 1, 0, 0},
    {&__pyx_n_s_approximateQuadraticArcLength, __pyx_k_approximateQuadraticArcLength, sizeof(__pyx_k_approximateQuadraticArcLength), 0, 0, 1, 1},
    {&__pyx_n_u_approximateQuadraticArcLength, __pyx_k_approximateQuadraticArcLength, sizeof(__pyx_k_approximateQuadraticArcLength), 0, 1, 0, 1},
    {&__pyx_n_s_approximateQuadraticArcLengthC, __pyx_k_approximateQuadraticArcLengthC, sizeof(__pyx_k_approximateQuadraticArcLengthC), 0, 0, 1, 1},
    {&__pyx_n_u_approximateQuadraticArcLengthC, __pyx_k_approximateQuadraticArcLengthC, sizeof(__pyx_k_approximateQuadraticArcLengthC), 0, 1, 0, 1},
    {&__pyx_n_s_arch, __pyx_k_arch, sizeof(__pyx_k_arch), 0, 0, 1, 1},
    {&__pyx_n_s_args, __pyx_k_args, sizeof(__pyx_k_args), 0, 0, 1, 1},
    {&__pyx_n_s_asinh, __pyx_k_asinh, sizeof(__pyx_k_asinh), 0, 0, 1, 1},
    {&__pyx_n_s_asyncio_coroutines, __pyx_k_asyncio_coroutines, sizeof(__pyx_k_asyncio_coroutines), 0, 0, 1, 1},
    {&__pyx_n_s_atan2, __pyx_k_atan2, sizeof(__pyx_k_atan2), 0, 0, 1, 1},
    {&__pyx_n_s_ax, __pyx_k_ax, sizeof(__pyx_k_ax), 0, 0, 1, 1},
    {&__pyx_n_s_ax2, __pyx_k_ax2, sizeof(__pyx_k_ax2), 0, 0, 1, 1},
    {&__pyx_n_s_ax3, __pyx_k_ax3, sizeof(__pyx_k_ax3), 0, 0, 1, 1},
    {&__pyx_n_s_ay, __pyx_k_ay, sizeof(__pyx_k_ay), 0, 0, 1, 1},
    {&__pyx_n_s_ay2, __pyx_k_ay2, sizeof(__pyx_k_ay2), 0, 0, 1, 1},
    {&__pyx_n_s_ay3, __pyx_k_ay3, sizeof(__pyx_k_ay3), 0, 0, 1, 1},
    {&__pyx_n_s_b, __pyx_k_b, sizeof(__pyx_k_b), 0, 0, 1, 1},
    {&__pyx_n_s_b1, __pyx_k_b1, sizeof(__pyx_k_b1), 0, 0, 1, 1},
    {&__pyx_n_s_b1x, __pyx_k_b1x, sizeof(__pyx_k_b1x), 0, 0, 1, 1},
    {&__pyx_n_s_b1y, __pyx_k_b1y, sizeof(__pyx_k_b1y), 0, 0, 1, 1},
    {&__pyx_n_s_both_points_are_on_same_side_of, __pyx_k_both_points_are_on_same_side_of, sizeof(__pyx_k_both_points_are_on_same_side_of), 0, 0, 1, 1},
    {&__pyx_n_s_bounds1, __pyx_k_bounds1, sizeof(__pyx_k_bounds1), 0, 0, 1, 1},
    {&__pyx_n_s_bounds2, __pyx_k_bounds2, sizeof(__pyx_k_bounds2), 0, 0, 1, 1},
    {&__pyx_n_s_box, __pyx_k_box, sizeof(__pyx_k_box), 0, 0, 1, 1},
    {&__pyx_n_s_bx, __pyx_k_bx, sizeof(__pyx_k_bx), 0, 0, 1, 1},
    {&__pyx_n_s_bx2, __pyx_k_bx2, sizeof(__pyx_k_bx2), 0, 0, 1, 1},
    {&__pyx_n_s_by, __pyx_k_by, sizeof(__pyx_k_by), 0, 0, 1, 1},
    {&__pyx_n_s_by2, __pyx_k_by2, sizeof(__pyx_k_by2), 0, 0, 1, 1},
    {&__pyx_n_s_c, __pyx_k_c, sizeof(__pyx_k_c), 0, 0, 1, 1},
    {&__pyx_n_s_c1, __pyx_k_c1, sizeof(__pyx_k_c1), 0, 0, 1, 1},
    {&__pyx_n_s_c11, __pyx_k_c11, sizeof(__pyx_k_c11), 0, 0, 1, 1},
    {&__pyx_n_s_c11_range, __pyx_k_c11_range, sizeof(__pyx_k_c11_range), 0, 0, 1, 1},
    {&__pyx_n_s_c12, __pyx_k_c12, sizeof(__pyx_k_c12), 0, 0, 1, 1},
    {&__pyx_n_s_c12_range, __pyx_k_c12_range, sizeof(__pyx_k_c12_range), 0, 0, 1, 1},
    {&__pyx_n_s_c1x, __pyx_k_c1x, sizeof(__pyx_k_c1x), 0, 0, 1, 1},
    {&__pyx_n_s_c1y, __pyx_k_c1y, sizeof(__pyx_k_c1y), 0, 0, 1, 1},
    {&__pyx_n_s_c21, __pyx_k_c21, sizeof(__pyx_k_c21), 0, 0, 1, 1},
    {&__pyx_n_s_c21_range, __pyx_k_c21_range, sizeof(__pyx_k_c21_range), 0, 0, 1, 1},
    {&__pyx_n_s_c22, __pyx_k_c22, sizeof(__pyx_k_c22), 0, 0, 1, 1},
    {&__pyx_n_s_c22_range, __pyx_k_c22_range, sizeof(__pyx_k_c22_range), 0, 0, 1, 1},
    {&__pyx_n_s_calcBounds, __pyx_k_calcBounds, sizeof(__pyx_k_calcBounds), 0, 0, 1, 1},
    {&__pyx_n_s_calcCubicArcLength, __pyx_k_calcCubicArcLength, sizeof(__pyx_k_calcCubicArcLength), 0, 0, 1, 1},
    {&__pyx_n_u_calcCubicArcLength, __pyx_k_calcCubicArcLength, sizeof(__pyx_k_calcCubicArcLength), 0, 1, 0, 1},
    {&__pyx_n_s_calcCubicArcLengthC, __pyx_k_calcCubicArcLengthC, sizeof(__pyx_k_calcCubicArcLengthC), 0, 0, 1, 1},
    {&__pyx_n_u_calcCubicArcLengthC, __pyx_k_calcCubicArcLengthC, sizeof(__pyx_k_calcCubicArcLengthC), 0, 1, 0, 1},
    {&__pyx_n_s_calcCubicArcLengthCRecurse, __pyx_k_calcCubicArcLengthCRecurse, sizeof(__pyx_k_calcCubicArcLengthCRecurse), 0, 0, 1, 1},
    {&__pyx_n_s_calcCubicBounds, __pyx_k_calcCubicBounds, sizeof(__pyx_k_calcCubicBounds), 0, 0, 1, 1},
    {&__pyx_n_u_calcCubicBounds, __pyx_k_calcCubicBounds, sizeof(__pyx_k_calcCubicBounds), 0, 1, 0, 1},
    {&__pyx_kp_u_calcCubicBounds_line_412, __pyx_k_calcCubicBounds_line_412, sizeof(__pyx_k_calcCubicBounds_line_412), 0, 1, 0, 0},
    {&__pyx_n_s_calcCubicParameters, __pyx_k_calcCubicParameters, sizeof(__pyx_k_calcCubicParameters), 0, 0, 1, 1},
    {&__pyx_n_s_calcCubicPoints, __pyx_k_calcCubicPoints, sizeof(__pyx_k_calcCubicPoints), 0, 0, 1, 1},
    {&__pyx_n_s_calcQuadraticArcLength, __pyx_k_calcQuadraticArcLength, sizeof(__pyx_k_calcQuadraticArcLength), 0, 0, 1, 1},
    {&__pyx_n_u_calcQuadraticArcLength, __pyx_k_calcQuadraticArcLength, sizeof(__pyx_k_calcQuadraticArcLength), 0, 1, 0, 1},
    {&__pyx_n_s_calcQuadraticArcLengthC, __pyx_k_calcQuadraticArcLengthC, sizeof(__pyx_k_calcQuadraticArcLengthC), 0, 0, 1, 1},
    {&__pyx_n_u_calcQuadraticArcLengthC, __pyx_k_calcQuadraticArcLengthC, sizeof(__pyx_k_calcQuadraticArcLengthC), 0, 1, 0, 1},
    {&__pyx_kp_u_calcQuadraticArcLength_line_151, __pyx_k_calcQuadraticArcLength_line_151, sizeof(__pyx_k_calcQuadraticArcLength_line_151), 0, 1, 0, 0},
    {&__pyx_n_s_calcQuadraticBounds, __pyx_k_calcQuadraticBounds, sizeof(__pyx_k_calcQuadraticBounds), 0, 0, 1, 1},
    {&__pyx_n_u_calcQuadraticBounds, __pyx_k_calcQuadraticBounds, sizeof(__pyx_k_calcQuadraticBounds), 0, 1, 0, 1},
    {&__pyx_kp_u_calcQuadraticBounds_line_298, __pyx_k_calcQuadraticBounds_line_298, sizeof(__pyx_k_calcQuadraticBounds_line_298), 0, 1, 0, 0},
    {&__pyx_n_s_calcQuadraticParameters, __pyx_k_calcQuadraticParameters, sizeof(__pyx_k_calcQuadraticParameters), 0, 0, 1, 1},
    {&__pyx_n_s_calcQuadraticPoints, __pyx_k_calcQuadraticPoints, sizeof(__pyx_k_calcQuadraticPoints), 0, 0, 1, 1},
    {&__pyx_n_s_class_getitem, __pyx_k_class_getitem, sizeof(__pyx_k_class_getitem), 0, 0, 1, 1},
    {&__pyx_n_s_cline_in_traceback, __pyx_k_cline_in_traceback, sizeof(__pyx_k_cline_in_traceback), 0, 0, 1, 1},
    {&__pyx_n_s_close, __pyx_k_close, sizeof(__pyx_k_close), 0, 0, 1, 1},
    {&__pyx_n_s_collections, __pyx_k_collections, sizeof(__pyx_k_collections), 0, 0, 1, 1},
    {&__pyx_n_s_cos, __pyx_k_cos, sizeof(__pyx_k_cos), 0, 0, 1, 1},
    {&__pyx_n_s_cubicPointAtT, __pyx_k_cubicPointAtT, sizeof(__pyx_k_cubicPointAtT), 0, 0, 1, 1},
    {&__pyx_n_u_cubicPointAtT, __pyx_k_cubicPointAtT, sizeof(__pyx_k_cubicPointAtT), 0, 1, 0, 1},
    {&__pyx_n_s_cubicPointAtTC, __pyx_k_cubicPointAtTC, sizeof(__pyx_k_cubicPointAtTC), 0, 0, 1, 1},
    {&__pyx_n_u_cubicPointAtTC, __pyx_k_cubicPointAtTC, sizeof(__pyx_k_cubicPointAtTC), 0, 1, 0, 1},
    {&__pyx_n_s_curve, __pyx_k_curve, sizeof(__pyx_k_curve), 0, 0, 1, 1},
    {&__pyx_n_s_curve1, __pyx_k_curve1, sizeof(__pyx_k_curve1), 0, 0, 1, 1},
    {&__pyx_n_s_curve2, __pyx_k_curve2, sizeof(__pyx_k_curve2), 0, 0, 1, 1},
    {&__pyx_n_s_curveCurveIntersections, __pyx_k_curveCurveIntersections, sizeof(__pyx_k_curveCurveIntersections), 0, 0, 1, 1},
    {&__pyx_n_u_curveCurveIntersections, __pyx_k_curveCurveIntersections, sizeof(__pyx_k_curveCurveIntersections), 0, 1, 0, 1},
    {&__pyx_kp_u_curveCurveIntersections_line_137, __pyx_k_curveCurveIntersections_line_137, sizeof(__pyx_k_curveCurveIntersections_line_137), 0, 1, 0, 0},
    {&__pyx_n_s_curveLineIntersections, __pyx_k_curveLineIntersections, sizeof(__pyx_k_curveLineIntersections), 0, 0, 1, 1},
    {&__pyx_n_u_curveLineIntersections, __pyx_k_curveLineIntersections, sizeof(__pyx_k_curveLineIntersections), 0, 1, 0, 1},
    {&__pyx_kp_u_curveLineIntersections_line_1248, __pyx_k_curveLineIntersections_line_1248, sizeof(__pyx_k_curveLineIntersections_line_1248), 0, 1, 0, 0},
    {&__pyx_n_s_curve_bounds, __pyx_k_curve_bounds, sizeof(__pyx_k_curve_bounds), 0, 0, 1, 1},
    {&__pyx_n_s_curve_curve_intersections_t, __pyx_k_curve_curve_intersections_t, sizeof(__pyx_k_curve_curve_intersections_t), 0, 0, 1, 1},
    {&__pyx_n_s_curve_curve_intersections_t_loc, __pyx_k_curve_curve_intersections_t_loc, sizeof(__pyx_k_curve_curve_intersections_t_loc), 0, 0, 1, 1},
    {&__pyx_n_s_curve_curve_intersections_t_loc_2, __pyx_k_curve_curve_intersections_t_loc_2, sizeof(__pyx_k_curve_curve_intersections_t_loc_2), 0, 0, 1, 1},
    {&__pyx_n_s_curve_line_intersections_t, __pyx_k_curve_line_intersections_t, sizeof(__pyx_k_curve_line_intersections_t), 0, 0, 1, 1},
    {&__pyx_n_s_curve_line_intersections_t_loca, __pyx_k_curve_line_intersections_t_loca, sizeof(__pyx_k_curve_line_intersections_t_loca), 0, 0, 1, 1},
    {&__pyx_n_s_cx, __pyx_k_cx, sizeof(__pyx_k_cx), 0, 0, 1, 1},
    {&__pyx_n_s_cy, __pyx_k_cy, sizeof(__pyx_k_cy), 0, 0, 1, 1},
    {&__pyx_n_s_cython, __pyx_k_cython, sizeof(__pyx_k_cython), 0, 0, 1, 1},
    {&__pyx_n_s_d, __pyx_k_d, sizeof(__pyx_k_d), 0, 0, 1, 1},
    {&__pyx_n_s_d0, __pyx_k_d0, sizeof(__pyx_k_d0), 0, 0, 1, 1},
    {&__pyx_n_s_d1, __pyx_k_d1, sizeof(__pyx_k_d1), 0, 0, 1, 1},
    {&__pyx_n_s_d1x, __pyx_k_d1x, sizeof(__pyx_k_d1x), 0, 0, 1, 1},
    {&__pyx_n_s_d1y, __pyx_k_d1y, sizeof(__pyx_k_d1y), 0, 0, 1, 1},
    {&__pyx_n_s_delta, __pyx_k_delta, sizeof(__pyx_k_delta), 0, 0, 1, 1},
    {&__pyx_n_s_delta_2, __pyx_k_delta_2, sizeof(__pyx_k_delta_2), 0, 0, 1, 1},
    {&__pyx_n_s_delta_3, __pyx_k_delta_3, sizeof(__pyx_k_delta_3), 0, 0, 1, 1},
    {&__pyx_n_s_deriv3, __pyx_k_deriv3, sizeof(__pyx_k_deriv3), 0, 0, 1, 1},
    {&__pyx_kp_u_disable, __pyx_k_disable, sizeof(__pyx_k_disable), 0, 1, 0, 0},
    {&__pyx_n_s_doctest, __pyx_k_doctest, sizeof(__pyx_k_doctest), 0, 0, 1, 1},
    {&__pyx_n_s_dx, __pyx_k_dx, sizeof(__pyx_k_dx), 0, 0, 1, 1},
    {&__pyx_n_s_dy, __pyx_k_dy, sizeof(__pyx_k_dy), 0, 0, 1, 1},
    {&__pyx_n_s_e, __pyx_k_e, sizeof(__pyx_k_e), 0, 0, 1, 1},
    {&__pyx_n_s_e1, __pyx_k_e1, sizeof(__pyx_k_e1), 0, 0, 1, 1},
    {&__pyx_n_s_e1x, __pyx_k_e1x, sizeof(__pyx_k_e1x), 0, 0, 1, 1},
    {&__pyx_n_s_e1y, __pyx_k_e1y, sizeof(__pyx_k_e1y), 0, 0, 1, 1},
    {&__pyx_n_s_e2, __pyx_k_e2, sizeof(__pyx_k_e2), 0, 0, 1, 1},
    {&__pyx_n_s_e2x, __pyx_k_e2x, sizeof(__pyx_k_e2x), 0, 0, 1, 1},
    {&__pyx_n_s_e2y, __pyx_k_e2y, sizeof(__pyx_k_e2y), 0, 0, 1, 1},
    {&__pyx_kp_u_enable, __pyx_k_enable, sizeof(__pyx_k_enable), 0, 1, 0, 0},
    {&__pyx_n_s_end, __pyx_k_end, sizeof(__pyx_k_end), 0, 0, 1, 1},
    {&__pyx_n_s_epsilon, __pyx_k_epsilon, sizeof(__pyx_k_epsilon), 0, 0, 1, 1},
    {&__pyx_n_s_epsilonDigits, __pyx_k_epsilonDigits, sizeof(__pyx_k_epsilonDigits), 0, 0, 1, 1},
    {&__pyx_n_s_ex, __pyx_k_ex, sizeof(__pyx_k_ex), 0, 0, 1, 1},
    {&__pyx_n_s_exit, __pyx_k_exit, sizeof(__pyx_k_exit), 0, 0, 1, 1},
    {&__pyx_n_s_ey, __pyx_k_ey, sizeof(__pyx_k_ey), 0, 0, 1, 1},
    {&__pyx_n_s_failed, __pyx_k_failed, sizeof(__pyx_k_failed), 0, 0, 1, 1},
    {&__pyx_n_s_fontTools_misc, __pyx_k_fontTools_misc, sizeof(__pyx_k_fontTools_misc), 0, 0, 1, 1},
    {&__pyx_n_s_fontTools_misc_arrayTools, __pyx_k_fontTools_misc_arrayTools, sizeof(__pyx_k_fontTools_misc_arrayTools), 0, 0, 1, 1},
    {&__pyx_n_s_fontTools_misc_bezierTools, __pyx_k_fontTools_misc_bezierTools, sizeof(__pyx_k_fontTools_misc_bezierTools), 0, 0, 1, 1},
    {&__pyx_n_s_fontTools_misc_transform, __pyx_k_fontTools_misc_transform, sizeof(__pyx_k_fontTools_misc_transform), 0, 0, 1, 1},
    {&__pyx_n_s_found, __pyx_k_found, sizeof(__pyx_k_found), 0, 0, 1, 1},
    {&__pyx_kp_u_g, __pyx_k_g, sizeof(__pyx_k_g), 0, 1, 0, 0},
    {&__pyx_kp_u_gc, __pyx_k_gc, sizeof(__pyx_k_gc), 0, 1, 0, 0},
    {&__pyx_n_s_genexpr, __pyx_k_genexpr, sizeof(__pyx_k_genexpr), 0, 0, 1, 1},
    {&__pyx_n_s_i, __pyx_k_i, sizeof(__pyx_k_i), 0, 0, 1, 1},
    {&__pyx_n_s_import, __pyx_k_import, sizeof(__pyx_k_import), 0, 0, 1, 1},
    {&__pyx_n_s_initializing, __pyx_k_initializing, sizeof(__pyx_k_initializing), 0, 0, 1, 1},
    {&__pyx_n_s_insert, __pyx_k_insert, sizeof(__pyx_k_insert), 0, 0, 1, 1},
    {&__pyx_n_s_intersection_ts, __pyx_k_intersection_ts, sizeof(__pyx_k_intersection_ts), 0, 0, 1, 1},
    {&__pyx_n_s_intersections, __pyx_k_intersections, sizeof(__pyx_k_intersections), 0, 0, 1, 1},
    {&__pyx_n_s_intersects, __pyx_k_intersects, sizeof(__pyx_k_intersects), 0, 0, 1, 1},
    {&__pyx_n_s_isHorizontal, __pyx_k_isHorizontal, sizeof(__pyx_k_isHorizontal), 0, 0, 1, 1},
    {&__pyx_n_s_is_coroutine, __pyx_k_is_coroutine, sizeof(__pyx_k_is_coroutine), 0, 0, 1, 1},
    {&__pyx_n_s_is_linelike, __pyx_k_is_linelike, sizeof(__pyx_k_is_linelike), 0, 0, 1, 1},
    {&__pyx_n_s_is_linelike_locals_genexpr, __pyx_k_is_linelike_locals_genexpr, sizeof(__pyx_k_is_linelike_locals_genexpr), 0, 0, 1, 1},
    {&__pyx_n_s_isclose, __pyx_k_isclose, sizeof(__pyx_k_isclose), 0, 0, 1, 1},
    {&__pyx_kp_u_isenabled, __pyx_k_isenabled, sizeof(__pyx_k_isenabled), 0, 1, 0, 0},
    {&__pyx_n_s_it, __pyx_k_it, sizeof(__pyx_k_it), 0, 0, 1, 1},
    {&__pyx_n_s_key, __pyx_k_key, sizeof(__pyx_k_key), 0, 0, 1, 1},
    {&__pyx_n_s_line, __pyx_k_line, sizeof(__pyx_k_line), 0, 0, 1, 1},
    {&__pyx_n_s_line1, __pyx_k_line1, sizeof(__pyx_k_line1), 0, 0, 1, 1},
    {&__pyx_n_s_line2, __pyx_k_line2, sizeof(__pyx_k_line2), 0, 0, 1, 1},
    {&__pyx_n_s_lineLineIntersections, __pyx_k_lineLineIntersections, sizeof(__pyx_k_lineLineIntersections), 0, 0, 1, 1},
    {&__pyx_n_u_lineLineIntersections, __pyx_k_lineLineIntersections, sizeof(__pyx_k_lineLineIntersections), 0, 1, 0, 1},
    {&__pyx_kp_u_lineLineIntersections_line_1147, __pyx_k_lineLineIntersections_line_1147, sizeof(__pyx_k_lineLineIntersections_line_1147), 0, 1, 0, 0},
    {&__pyx_n_s_linePointAtT, __pyx_k_linePointAtT, sizeof(__pyx_k_linePointAtT), 0, 0, 1, 1},
    {&__pyx_n_u_linePointAtT, __pyx_k_linePointAtT, sizeof(__pyx_k_linePointAtT), 0, 1, 0, 1},
    {&__pyx_n_s_line_t, __pyx_k_line_t, sizeof(__pyx_k_line_t), 0, 0, 1, 1},
    {&__pyx_n_s_line_t_of_pt, __pyx_k_line_t_of_pt, sizeof(__pyx_k_line_t_of_pt), 0, 0, 1, 1},
    {&__pyx_n_s_main, __pyx_k_main, sizeof(__pyx_k_main), 0, 0, 1, 1},
    {&__pyx_n_u_main, __pyx_k_main, sizeof(__pyx_k_main), 0, 1, 0, 1},
    {&__pyx_n_s_math, __pyx_k_math, sizeof(__pyx_k_math), 0, 0, 1, 1},
    {&__pyx_n_s_maybeline, __pyx_k_maybeline, sizeof(__pyx_k_maybeline), 0, 0, 1, 1},
    {&__pyx_n_s_mid, __pyx_k_mid, sizeof(__pyx_k_mid), 0, 0, 1, 1},
    {&__pyx_n_s_midPt, __pyx_k_midPt, sizeof(__pyx_k_midPt), 0, 0, 1, 1},
    {&__pyx_n_s_midpoint, __pyx_k_midpoint, sizeof(__pyx_k_midpoint), 0, 0, 1, 1},
    {&__pyx_n_s_mult, __pyx_k_mult, sizeof(__pyx_k_mult), 0, 0, 1, 1},
    {&__pyx_n_s_n, __pyx_k_n, sizeof(__pyx_k_n), 0, 0, 1, 1},
    {&__pyx_n_s_name, __pyx_k_name, sizeof(__pyx_k_name), 0, 0, 1, 1},
    {&__pyx_n_s_namedtuple, __pyx_k_namedtuple, sizeof(__pyx_k_namedtuple), 0, 0, 1, 1},
    {&__pyx_n_s_obj, __pyx_k_obj, sizeof(__pyx_k_obj), 0, 0, 1, 1},
    {&__pyx_n_s_off1, __pyx_k_off1, sizeof(__pyx_k_off1), 0, 0, 1, 1},
    {&__pyx_n_s_off2, __pyx_k_off2, sizeof(__pyx_k_off2), 0, 0, 1, 1},
    {&__pyx_n_s_one, __pyx_k_one, sizeof(__pyx_k_one), 0, 0, 1, 1},
    {&__pyx_n_s_origDist, __pyx_k_origDist, sizeof(__pyx_k_origDist), 0, 0, 1, 1},
    {&__pyx_n_s_origin, __pyx_k_origin, sizeof(__pyx_k_origin), 0, 0, 1, 1},
    {&__pyx_n_s_p0, __pyx_k_p0, sizeof(__pyx_k_p0), 0, 0, 1, 1},
    {&__pyx_n_s_p1, __pyx_k_p1, sizeof(__pyx_k_p1), 0, 0, 1, 1},
    {&__pyx_n_s_p2, __pyx_k_p2, sizeof(__pyx_k_p2), 0, 0, 1, 1},
    {&__pyx_n_s_p3, __pyx_k_p3, sizeof(__pyx_k_p3), 0, 0, 1, 1},
    {&__pyx_n_s_pi, __pyx_k_pi, sizeof(__pyx_k_pi), 0, 0, 1, 1},
    {&__pyx_n_s_pointAtT, __pyx_k_pointAtT, sizeof(__pyx_k_pointAtT), 0, 0, 1, 1},
    {&__pyx_n_s_pointFinder, __pyx_k_pointFinder, sizeof(__pyx_k_pointFinder), 0, 0, 1, 1},
    {&__pyx_n_s_points, __pyx_k_points, sizeof(__pyx_k_points), 0, 0, 1, 1},
    {&__pyx_n_s_precision, __pyx_k_precision, sizeof(__pyx_k_precision), 0, 0, 1, 1},
    {&__pyx_n_s_print, __pyx_k_print, sizeof(__pyx_k_print), 0, 0, 1, 1},
    {&__pyx_n_s_printSegments, __pyx_k_printSegments, sizeof(__pyx_k_printSegments), 0, 0, 1, 1},
    {&__pyx_n_s_pt, __pyx_k_pt, sizeof(__pyx_k_pt), 0, 0, 1, 1},
    {&__pyx_n_u_pt, __pyx_k_pt, sizeof(__pyx_k_pt), 0, 1, 0, 1},
    {&__pyx_n_s_pt1, __pyx_k_pt1, sizeof(__pyx_k_pt1), 0, 0, 1, 1},
    {&__pyx_n_s_pt1x, __pyx_k_pt1x, sizeof(__pyx_k_pt1x), 0, 0, 1, 1},
    {&__pyx_n_s_pt1y, __pyx_k_pt1y, sizeof(__pyx_k_pt1y), 0, 0, 1, 1},
    {&__pyx_n_s_pt2, __pyx_k_pt2, sizeof(__pyx_k_pt2), 0, 0, 1, 1},
    {&__pyx_n_s_pt2x, __pyx_k_pt2x, sizeof(__pyx_k_pt2x), 0, 0, 1, 1},
    {&__pyx_n_s_pt2y, __pyx_k_pt2y, sizeof(__pyx_k_pt2y), 0, 0, 1, 1},
    {&__pyx_n_s_pt3, __pyx_k_pt3, sizeof(__pyx_k_pt3), 0, 0, 1, 1},
    {&__pyx_n_s_pt4, __pyx_k_pt4, sizeof(__pyx_k_pt4), 0, 0, 1, 1},
    {&__pyx_n_s_px, __pyx_k_px, sizeof(__pyx_k_px), 0, 0, 1, 1},
    {&__pyx_n_s_py, __pyx_k_py, sizeof(__pyx_k_py), 0, 0, 1, 1},
    {&__pyx_n_s_quadraticPointAtT, __pyx_k_quadraticPointAtT, sizeof(__pyx_k_quadraticPointAtT), 0, 0, 1, 1},
    {&__pyx_n_u_quadraticPointAtT, __pyx_k_quadraticPointAtT, sizeof(__pyx_k_quadraticPointAtT), 0, 1, 0, 1},
    {&__pyx_n_s_r, __pyx_k_r, sizeof(__pyx_k_r), 0, 0, 1, 1},
    {&__pyx_n_s_rDD, __pyx_k_rDD, sizeof(__pyx_k_rDD), 0, 0, 1, 1},
    {&__pyx_n_s_rQ2, __pyx_k_rQ2, sizeof(__pyx_k_rQ2), 0, 0, 1, 1},
    {&__pyx_n_s_range, __pyx_k_range, sizeof(__pyx_k_range), 0, 0, 1, 1},
    {&__pyx_n_s_range1, __pyx_k_range1, sizeof(__pyx_k_range1), 0, 0, 1, 1},
    {&__pyx_n_s_range2, __pyx_k_range2, sizeof(__pyx_k_range2), 0, 0, 1, 1},
    {&__pyx_n_s_rectArea, __pyx_k_rectArea, sizeof(__pyx_k_rectArea), 0, 0, 1, 1},
    {&__pyx_n_s_roots, __pyx_k_roots, sizeof(__pyx_k_roots), 0, 0, 1, 1},
    {&__pyx_n_s_rotate, __pyx_k_rotate, sizeof(__pyx_k_rotate), 0, 0, 1, 1},
    {&__pyx_n_s_round, __pyx_k_round, sizeof(__pyx_k_round), 0, 0, 1, 1},
    {&__pyx_n_s_s, __pyx_k_s, sizeof(__pyx_k_s), 0, 0, 1, 1},
    {&__pyx_n_s_s1, __pyx_k_s1, sizeof(__pyx_k_s1), 0, 0, 1, 1},
    {&__pyx_n_s_s1x, __pyx_k_s1x, sizeof(__pyx_k_s1x), 0, 0, 1, 1},
    {&__pyx_n_s_s1y, __pyx_k_s1y, sizeof(__pyx_k_s1y), 0, 0, 1, 1},
    {&__pyx_n_s_s2, __pyx_k_s2, sizeof(__pyx_k_s2), 0, 0, 1, 1},
    {&__pyx_n_s_s2x, __pyx_k_s2x, sizeof(__pyx_k_s2x), 0, 0, 1, 1},
    {&__pyx_n_s_s2y, __pyx_k_s2y, sizeof(__pyx_k_s2y), 0, 0, 1, 1},
    {&__pyx_kp_u_s_2, __pyx_k_s_2, sizeof(__pyx_k_s_2), 0, 1, 0, 0},
    {&__pyx_n_s_scale, __pyx_k_scale, sizeof(__pyx_k_scale), 0, 0, 1, 1},
    {&__pyx_n_s_sectRect, __pyx_k_sectRect, sizeof(__pyx_k_sectRect), 0, 0, 1, 1},
    {&__pyx_n_s_seen, __pyx_k_seen, sizeof(__pyx_k_seen), 0, 0, 1, 1},
    {&__pyx_n_s_seg, __pyx_k_seg, sizeof(__pyx_k_seg), 0, 0, 1, 1},
    {&__pyx_n_s_seg1, __pyx_k_seg1, sizeof(__pyx_k_seg1), 0, 0, 1, 1},
    {&__pyx_n_s_seg2, __pyx_k_seg2, sizeof(__pyx_k_seg2), 0, 0, 1, 1},
    {&__pyx_n_s_segment, __pyx_k_segment, sizeof(__pyx_k_segment), 0, 0, 1, 1},
    {&__pyx_n_s_segmentPointAtT, __pyx_k_segmentPointAtT, sizeof(__pyx_k_segmentPointAtT), 0, 0, 1, 1},
    {&__pyx_n_u_segmentPointAtT, __pyx_k_segmentPointAtT, sizeof(__pyx_k_segmentPointAtT), 0, 1, 0, 1},
    {&__pyx_n_s_segmentSegmentIntersections, __pyx_k_segmentSegmentIntersections, sizeof(__pyx_k_segmentSegmentIntersections), 0, 0, 1, 1},
    {&__pyx_n_u_segmentSegmentIntersections, __pyx_k_segmentSegmentIntersections, sizeof(__pyx_k_segmentSegmentIntersections), 0, 1, 0, 1},
    {&__pyx_kp_u_segmentSegmentIntersections_line, __pyx_k_segmentSegmentIntersections_line, sizeof(__pyx_k_segmentSegmentIntersections_line), 0, 1, 0, 0},
    {&__pyx_n_s_segmentrepr, __pyx_k_segmentrepr, sizeof(__pyx_k_segmentrepr), 0, 0, 1, 1},
    {&__pyx_kp_u_segmentrepr_1_2_3_2_3_4_0_1_2, __pyx_k_segmentrepr_1_2_3_2_3_4_0_1_2, sizeof(__pyx_k_segmentrepr_1_2_3_2_3_4_0_1_2), 0, 1, 0, 0},
    {&__pyx_kp_u_segmentrepr_line_1465, __pyx_k_segmentrepr_line_1465, sizeof(__pyx_k_segmentrepr_line_1465), 0, 1, 0, 0},
    {&__pyx_n_s_segmentrepr_locals_genexpr, __pyx_k_segmentrepr_locals_genexpr, sizeof(__pyx_k_segmentrepr_locals_genexpr), 0, 0, 1, 1},
    {&__pyx_n_s_segments, __pyx_k_segments, sizeof(__pyx_k_segments), 0, 0, 1, 1},
    {&__pyx_n_s_send, __pyx_k_send, sizeof(__pyx_k_send), 0, 0, 1, 1},
    {&__pyx_n_s_slope12, __pyx_k_slope12, sizeof(__pyx_k_slope12), 0, 0, 1, 1},
    {&__pyx_n_s_slope34, __pyx_k_slope34, sizeof(__pyx_k_slope34), 0, 0, 1, 1},
    {&__pyx_n_s_solutions, __pyx_k_solutions, sizeof(__pyx_k_solutions), 0, 0, 1, 1},
    {&__pyx_n_s_solveCubic, __pyx_k_solveCubic, sizeof(__pyx_k_solveCubic), 0, 0, 1, 1},
    {&__pyx_n_u_solveCubic, __pyx_k_solveCubic, sizeof(__pyx_k_solveCubic), 0, 1, 0, 1},
    {&__pyx_kp_u_solveCubic_line_841, __pyx_k_solveCubic_line_841, sizeof(__pyx_k_solveCubic_line_841), 0, 1, 0, 0},
    {&__pyx_n_s_solveQuadratic, __pyx_k_solveQuadratic, sizeof(__pyx_k_solveQuadratic), 0, 0, 1, 1},
    {&__pyx_n_u_solveQuadratic, __pyx_k_solveQuadratic, sizeof(__pyx_k_solveQuadratic), 0, 1, 0, 1},
    {&__pyx_n_s_spec, __pyx_k_spec, sizeof(__pyx_k_spec), 0, 0, 1, 1},
    {&__pyx_n_s_splitCubic, __pyx_k_splitCubic, sizeof(__pyx_k_splitCubic), 0, 0, 1, 1},
    {&__pyx_n_u_splitCubic, __pyx_k_splitCubic, sizeof(__pyx_k_splitCubic), 0, 1, 0, 1},
    {&__pyx_n_s_splitCubicAtT, __pyx_k_splitCubicAtT, sizeof(__pyx_k_splitCubicAtT), 0, 0, 1, 1},
    {&__pyx_n_s_splitCubicAtTC, __pyx_k_splitCubicAtTC, sizeof(__pyx_k_splitCubicAtTC), 0, 0, 1, 1},
    {&__pyx_n_u_splitCubicAtTC, __pyx_k_splitCubicAtTC, sizeof(__pyx_k_splitCubicAtTC), 0, 1, 0, 1},
    {&__pyx_n_s_splitCubicAtTC_2, __pyx_k_splitCubicAtTC_2, sizeof(__pyx_k_splitCubicAtTC_2), 0, 0, 1, 1},
    {&__pyx_n_s_splitCubicAtT_2, __pyx_k_splitCubicAtT_2, sizeof(__pyx_k_splitCubicAtT_2), 0, 0, 1, 1},
    {&__pyx_n_u_splitCubicAtT_2, __pyx_k_splitCubicAtT_2, sizeof(__pyx_k_splitCubicAtT_2), 0, 1, 0, 1},
    {&__pyx_kp_u_splitCubicAtT_line_613, __pyx_k_splitCubicAtT_line_613, sizeof(__pyx_k_splitCubicAtT_line_613), 0, 1, 0, 0},
    {&__pyx_n_s_splitCubicIntoTwoAtTC, __pyx_k_splitCubicIntoTwoAtTC, sizeof(__pyx_k_splitCubicIntoTwoAtTC), 0, 0, 1, 1},
    {&__pyx_n_u_splitCubicIntoTwoAtTC, __pyx_k_splitCubicIntoTwoAtTC, sizeof(__pyx_k_splitCubicIntoTwoAtTC), 0, 1, 0, 1},
    {&__pyx_kp_u_splitCubic_line_552, __pyx_k_splitCubic_line_552, sizeof(__pyx_k_splitCubic_line_552), 0, 1, 0, 0},
    {&__pyx_n_s_splitCubic_locals_genexpr, __pyx_k_splitCubic_locals_genexpr, sizeof(__pyx_k_splitCubic_locals_genexpr), 0, 0, 1, 1},
    {&__pyx_n_s_splitLine, __pyx_k_splitLine, sizeof(__pyx_k_splitLine), 0, 0, 1, 1},
    {&__pyx_n_u_splitLine, __pyx_k_splitLine, sizeof(__pyx_k_splitLine), 0, 1, 0, 1},
    {&__pyx_kp_u_splitLine_line_450, __pyx_k_splitLine_line_450, sizeof(__pyx_k_splitLine_line_450), 0, 1, 0, 0},
    {&__pyx_n_s_splitQuadratic, __pyx_k_splitQuadratic, sizeof(__pyx_k_splitQuadratic), 0, 0, 1, 1},
    {&__pyx_n_u_splitQuadratic, __pyx_k_splitQuadratic, sizeof(__pyx_k_splitQuadratic), 0, 1, 0, 1},
    {&__pyx_n_s_splitQuadraticAtT, __pyx_k_splitQuadraticAtT, sizeof(__pyx_k_splitQuadraticAtT), 0, 0, 1, 1},
    {&__pyx_n_s_splitQuadraticAtT_2, __pyx_k_splitQuadraticAtT_2, sizeof(__pyx_k_splitQuadraticAtT_2), 0, 0, 1, 1},
    {&__pyx_n_u_splitQuadraticAtT_2, __pyx_k_splitQuadraticAtT_2, sizeof(__pyx_k_splitQuadraticAtT_2), 0, 1, 0, 1},
    {&__pyx_kp_u_splitQuadraticAtT_line_589, __pyx_k_splitQuadraticAtT_line_589, sizeof(__pyx_k_splitQuadraticAtT_line_589), 0, 1, 0, 0},
    {&__pyx_kp_u_splitQuadratic_line_507, __pyx_k_splitQuadratic_line_507, sizeof(__pyx_k_splitQuadratic_line_507), 0, 1, 0, 0},
    {&__pyx_n_s_splitQuadratic_locals_genexpr, __pyx_k_splitQuadratic_locals_genexpr, sizeof(__pyx_k_splitQuadratic_locals_genexpr), 0, 0, 1, 1},
    {&__pyx_n_s_split_cubic_into_two, __pyx_k_split_cubic_into_two, sizeof(__pyx_k_split_cubic_into_two), 0, 0, 1, 1},
    {&__pyx_n_s_split_segment_at_t, __pyx_k_split_segment_at_t, sizeof(__pyx_k_split_segment_at_t), 0, 0, 1, 1},
    {&__pyx_n_s_sqrt, __pyx_k_sqrt, sizeof(__pyx_k_sqrt), 0, 0, 1, 1},
    {&__pyx_n_s_start, __pyx_k_start, sizeof(__pyx_k_start), 0, 0, 1, 1},
    {&__pyx_n_s_swapped, __pyx_k_swapped, sizeof(__pyx_k_swapped), 0, 0, 1, 1},
    {&__pyx_n_s_sx, __pyx_k_sx, sizeof(__pyx_k_sx), 0, 0, 1, 1},
    {&__pyx_n_s_sy, __pyx_k_sy, sizeof(__pyx_k_sy), 0, 0, 1, 1},
    {&__pyx_n_s_sys, __pyx_k_sys, sizeof(__pyx_k_sys), 0, 0, 1, 1},
    {&__pyx_n_s_t, __pyx_k_t, sizeof(__pyx_k_t), 0, 0, 1, 1},
    {&__pyx_n_s_t1, __pyx_k_t1, sizeof(__pyx_k_t1), 0, 0, 1, 1},
    {&__pyx_n_u_t1, __pyx_k_t1, sizeof(__pyx_k_t1), 0, 1, 0, 1},
    {&__pyx_n_s_t1_2, __pyx_k_t1_2, sizeof(__pyx_k_t1_2), 0, 0, 1, 1},
    {&__pyx_n_s_t1_3, __pyx_k_t1_3, sizeof(__pyx_k_t1_3), 0, 0, 1, 1},
    {&__pyx_n_s_t2, __pyx_k_t2, sizeof(__pyx_k_t2), 0, 0, 1, 1},
    {&__pyx_n_u_t2, __pyx_k_t2, sizeof(__pyx_k_t2), 0, 1, 0, 1},
    {&__pyx_n_s_test, __pyx_k_test, sizeof(__pyx_k_test), 0, 0, 1, 1},
    {&__pyx_n_s_testmod, __pyx_k_testmod, sizeof(__pyx_k_testmod), 0, 0, 1, 1},
    {&__pyx_n_s_theta, __pyx_k_theta, sizeof(__pyx_k_theta), 0, 0, 1, 1},
    {&__pyx_n_s_throw, __pyx_k_throw, sizeof(__pyx_k_throw), 0, 0, 1, 1},
    {&__pyx_n_s_tolerance, __pyx_k_tolerance, sizeof(__pyx_k_tolerance), 0, 0, 1, 1},
    {&__pyx_n_s_transformPoints, __pyx_k_transformPoints, sizeof(__pyx_k_transformPoints), 0, 0, 1, 1},
    {&__pyx_n_s_translate, __pyx_k_translate, sizeof(__pyx_k_translate), 0, 0, 1, 1},
    {&__pyx_n_s_ts, __pyx_k_ts, sizeof(__pyx_k_ts), 0, 0, 1, 1},
    {&__pyx_n_s_two, __pyx_k_two, sizeof(__pyx_k_two), 0, 0, 1, 1},
    {&__pyx_n_s_unique_key, __pyx_k_unique_key, sizeof(__pyx_k_unique_key), 0, 0, 1, 1},
    {&__pyx_n_s_unique_values, __pyx_k_unique_values, sizeof(__pyx_k_unique_values), 0, 0, 1, 1},
    {&__pyx_n_s_v0, __pyx_k_v0, sizeof(__pyx_k_v0), 0, 0, 1, 1},
    {&__pyx_n_s_v1, __pyx_k_v1, sizeof(__pyx_k_v1), 0, 0, 1, 1},
    {&__pyx_n_s_v2, __pyx_k_v2, sizeof(__pyx_k_v2), 0, 0, 1, 1},
    {&__pyx_n_s_v3, __pyx_k_v3, sizeof(__pyx_k_v3), 0, 0, 1, 1},
    {&__pyx_n_s_v4, __pyx_k_v4, sizeof(__pyx_k_v4), 0, 0, 1, 1},
    {&__pyx_n_s_where, __pyx_k_where, sizeof(__pyx_k_where), 0, 0, 1, 1},
    {&__pyx_n_s_x, __pyx_k_x, sizeof(__pyx_k_x), 0, 0, 1, 1},
    {&__pyx_n_s_x0, __pyx_k_x0, sizeof(__pyx_k_x0), 0, 0, 1, 1},
    {&__pyx_n_s_x1, __pyx_k_x1, sizeof(__pyx_k_x1), 0, 0, 1, 1},
    {&__pyx_n_s_x2, __pyx_k_x2, sizeof(__pyx_k_x2), 0, 0, 1, 1},
    {&__pyx_n_s_x3, __pyx_k_x3, sizeof(__pyx_k_x3), 0, 0, 1, 1},
    {&__pyx_n_s_x4, __pyx_k_x4, sizeof(__pyx_k_x4), 0, 0, 1, 1},
    {&__pyx_n_s_xDiff, __pyx_k_xDiff, sizeof(__pyx_k_xDiff), 0, 0, 1, 1},
    {&__pyx_n_s_xRoots, __pyx_k_xRoots, sizeof(__pyx_k_xRoots), 0, 0, 1, 1},
    {&__pyx_n_s_y, __pyx_k_y, sizeof(__pyx_k_y), 0, 0, 1, 1},
    {&__pyx_n_s_y1, __pyx_k_y1, sizeof(__pyx_k_y1), 0, 0, 1, 1},
    {&__pyx_n_s_y2, __pyx_k_y2, sizeof(__pyx_k_y2), 0, 0, 1, 1},
    {&__pyx_n_s_y3, __pyx_k_y3, sizeof(__pyx_k_y3), 0, 0, 1, 1},
    {&__pyx_n_s_y4, __pyx_k_y4, sizeof(__pyx_k_y4), 0, 0, 1, 1},
    {&__pyx_n_s_yDiff, __pyx_k_yDiff, sizeof(__pyx_k_yDiff), 0, 0, 1, 1},
    {&__pyx_n_s_yRoots, __pyx_k_yRoots, sizeof(__pyx_k_yRoots), 0, 0, 1, 1},
    {0, 0, 0, 0, 0, 0, 0}
  };
  return __Pyx_InitStrings(__pyx_string_tab);
}
/* #### Code section: cached_builtins ### */
static CYTHON_SMALL_CODE int __Pyx_InitCachedBuiltins(void) {
  __pyx_builtin_AttributeError = __Pyx_GetBuiltinName(__pyx_n_s_AttributeError); if (!__pyx_builtin_AttributeError) __PYX_ERR(0, 14, __pyx_L1_error)
  __pyx_builtin_ImportError = __Pyx_GetBuiltinName(__pyx_n_s_ImportError); if (!__pyx_builtin_ImportError) __PYX_ERR(0, 14, __pyx_L1_error)
  __pyx_builtin_range = __Pyx_GetBuiltinName(__pyx_n_s_range); if (!__pyx_builtin_range) __PYX_ERR(0, 709, __pyx_L1_error)
  __pyx_builtin_round = __Pyx_GetBuiltinName(__pyx_n_s_round); if (!__pyx_builtin_round) __PYX_ERR(0, 899, __pyx_L1_error)
  __pyx_builtin_ValueError = __Pyx_GetBuiltinName(__pyx_n_s_ValueError); if (!__pyx_builtin_ValueError) __PYX_ERR(0, 1119, __pyx_L1_error)
  __pyx_builtin_TypeError = __Pyx_GetBuiltinName(__pyx_n_s_TypeError); if (!__pyx_builtin_TypeError) __PYX_ERR(0, 1472, __pyx_L1_error)
  __pyx_builtin_print = __Pyx_GetBuiltinName(__pyx_n_s_print); if (!__pyx_builtin_print) __PYX_ERR(0, 1483, __pyx_L1_error)
  return 0;
  __pyx_L1_error:;
  return -1;
}
/* #### Code section: cached_constants ### */

static CYTHON_SMALL_CODE int __Pyx_InitCachedConstants(void) {
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("__Pyx_InitCachedConstants", 0);

  /* "fontTools/misc/bezierTools.py":704
 *     ts = list(ts)
 *     segments = []
 *     ts.insert(0, 0.0)             # <<<<<<<<<<<<<<
 *     ts.append(1.0)
 *     ax, ay = a
 */
  __pyx_tuple__2 = PyTuple_Pack(2, __pyx_int_0, __pyx_float_0_0); if (unlikely(!__pyx_tuple__2)) __PYX_ERR(0, 704, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__2);
  __Pyx_GIVEREF(__pyx_tuple__2);

  /* "fontTools/misc/bezierTools.py":1119
 *     elif len(seg) == 4:
 *         return cubicPointAtT(*seg, t)
 *     raise ValueError("Unknown curve degree")             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_tuple__4 = PyTuple_Pack(1, __pyx_kp_u_Unknown_curve_degree); if (unlikely(!__pyx_tuple__4)) __PYX_ERR(0, 1119, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__4);
  __Pyx_GIVEREF(__pyx_tuple__4);

  /* "fontTools/misc/bezierTools.py":1313
 * 
 *     if not range1:
 *         range1 = (0.0, 1.0)             # <<<<<<<<<<<<<<
 *     if not range2:
 *         range2 = (0.0, 1.0)
 */
  __pyx_tuple__5 = PyTuple_Pack(2, __pyx_float_0_0, __pyx_float_1_0); if (unlikely(!__pyx_tuple__5)) __PYX_ERR(0, 1313, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__5);
  __Pyx_GIVEREF(__pyx_tuple__5);

  /* "fontTools/misc/bezierTools.py":1322
 *         return []
 * 
 *     def midpoint(r):             # <<<<<<<<<<<<<<
 *         return 0.5 * (r[0] + r[1])
 * 
 */
  __pyx_tuple__6 = PyTuple_Pack(1, __pyx_n_s_r); if (unlikely(!__pyx_tuple__6)) __PYX_ERR(0, 1322, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__6);
  __Pyx_GIVEREF(__pyx_tuple__6);
  __pyx_codeobj__7 = (PyObject*)__Pyx_PyCode_New(1, 0, 0, 1, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__6, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_midpoint, 1322, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__7)) __PYX_ERR(0, 1322, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":1459
 *         intersections = lineLineIntersections(*seg1, *seg2)
 *     else:
 *         raise ValueError("Couldn't work out which intersection function to use")             # <<<<<<<<<<<<<<
 *     if not swapped:
 *         return intersections
 */
  __pyx_tuple__8 = PyTuple_Pack(1, __pyx_kp_u_Couldn_t_work_out_which_intersec); if (unlikely(!__pyx_tuple__8)) __PYX_ERR(0, 1459, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__8);
  __Pyx_GIVEREF(__pyx_tuple__8);

  /* "fontTools/misc/bezierTools.py":56
 * 
 * 
 * def calcCubicArcLength(pt1, pt2, pt3, pt4, tolerance=0.005):             # <<<<<<<<<<<<<<
 *     """Calculates the arc length for a cubic Bezier segment.
 * 
 */
  __pyx_tuple__12 = PyTuple_Pack(5, __pyx_n_s_pt1, __pyx_n_s_pt2, __pyx_n_s_pt3, __pyx_n_s_pt4, __pyx_n_s_tolerance); if (unlikely(!__pyx_tuple__12)) __PYX_ERR(0, 56, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__12);
  __Pyx_GIVEREF(__pyx_tuple__12);
  __pyx_codeobj__13 = (PyObject*)__Pyx_PyCode_New(5, 0, 0, 5, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__12, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_calcCubicArcLength, 56, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__13)) __PYX_ERR(0, 56, __pyx_L1_error)
  __pyx_tuple__14 = PyTuple_Pack(1, ((PyObject*)__pyx_float_0_005)); if (unlikely(!__pyx_tuple__14)) __PYX_ERR(0, 56, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__14);
  __Pyx_GIVEREF(__pyx_tuple__14);

  /* "fontTools/misc/bezierTools.py":75
 * 
 * 
 * def _split_cubic_into_two(p0, p1, p2, p3):             # <<<<<<<<<<<<<<
 *     mid = (p0 + 3 * (p1 + p2) + p3) * 0.125
 *     deriv3 = (p3 + p2 - p1 - p0) * 0.125
 */
  __pyx_tuple__15 = PyTuple_Pack(6, __pyx_n_s_p0, __pyx_n_s_p1, __pyx_n_s_p2, __pyx_n_s_p3, __pyx_n_s_mid, __pyx_n_s_deriv3); if (unlikely(!__pyx_tuple__15)) __PYX_ERR(0, 75, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__15);
  __Pyx_GIVEREF(__pyx_tuple__15);
  __pyx_codeobj__16 = (PyObject*)__Pyx_PyCode_New(4, 0, 0, 6, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__15, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_split_cubic_into_two, 75, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__16)) __PYX_ERR(0, 75, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":84
 * 
 * 
 * @cython.returns(cython.double)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     p0=cython.complex,
 */
  __pyx_tuple__17 = PyTuple_Pack(9, __pyx_n_s_mult, __pyx_n_s_p0, __pyx_n_s_p1, __pyx_n_s_p2, __pyx_n_s_p3, __pyx_n_s_arch, __pyx_n_s_box, __pyx_n_s_one, __pyx_n_s_two); if (unlikely(!__pyx_tuple__17)) __PYX_ERR(0, 84, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__17);
  __Pyx_GIVEREF(__pyx_tuple__17);
  __pyx_codeobj__18 = (PyObject*)__Pyx_PyCode_New(5, 0, 0, 9, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__17, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_calcCubicArcLengthCRecurse, 84, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__18)) __PYX_ERR(0, 84, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":104
 * 
 * 
 * @cython.returns(cython.double)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     pt1=cython.complex,
 */
  __pyx_tuple__19 = PyTuple_Pack(6, __pyx_n_s_pt1, __pyx_n_s_pt2, __pyx_n_s_pt3, __pyx_n_s_pt4, __pyx_n_s_tolerance, __pyx_n_s_mult); if (unlikely(!__pyx_tuple__19)) __PYX_ERR(0, 104, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__19);
  __Pyx_GIVEREF(__pyx_tuple__19);
  __pyx_codeobj__20 = (PyObject*)__Pyx_PyCode_New(5, 0, 0, 6, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__19, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_calcCubicArcLengthC, 104, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__20)) __PYX_ERR(0, 104, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":151
 * 
 * 
 * def calcQuadraticArcLength(pt1, pt2, pt3):             # <<<<<<<<<<<<<<
 *     """Calculates the arc length for a quadratic Bezier segment.
 * 
 */
  __pyx_tuple__21 = PyTuple_Pack(3, __pyx_n_s_pt1, __pyx_n_s_pt2, __pyx_n_s_pt3); if (unlikely(!__pyx_tuple__21)) __PYX_ERR(0, 151, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__21);
  __Pyx_GIVEREF(__pyx_tuple__21);
  __pyx_codeobj__22 = (PyObject*)__Pyx_PyCode_New(3, 0, 0, 3, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__21, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_calcQuadraticArcLength, 151, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__22)) __PYX_ERR(0, 151, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":186
 * 
 * 
 * @cython.returns(cython.double)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     pt1=cython.complex,
 */
  __pyx_tuple__23 = PyTuple_Pack(14, __pyx_n_s_pt1, __pyx_n_s_pt2, __pyx_n_s_pt3, __pyx_n_s_scale, __pyx_n_s_origDist, __pyx_n_s_a, __pyx_n_s_b, __pyx_n_s_x0, __pyx_n_s_x1, __pyx_n_s_Len, __pyx_n_s_d0, __pyx_n_s_d1, __pyx_n_s_d, __pyx_n_s_n); if (unlikely(!__pyx_tuple__23)) __PYX_ERR(0, 186, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__23);
  __Pyx_GIVEREF(__pyx_tuple__23);
  __pyx_codeobj__24 = (PyObject*)__Pyx_PyCode_New(3, 0, 0, 14, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__23, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_calcQuadraticArcLengthC, 186, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__24)) __PYX_ERR(0, 186, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":237
 * 
 * 
 * def approximateQuadraticArcLength(pt1, pt2, pt3):             # <<<<<<<<<<<<<<
 *     """Calculates the arc length for a quadratic Bezier segment.
 * 
 */
  __pyx_codeobj__25 = (PyObject*)__Pyx_PyCode_New(3, 0, 0, 3, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__21, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_approximateQuadraticArcLength, 237, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__25)) __PYX_ERR(0, 237, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":254
 * 
 * 
 * @cython.returns(cython.double)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     pt1=cython.complex,
 */
  __pyx_tuple__26 = PyTuple_Pack(6, __pyx_n_s_pt1, __pyx_n_s_pt2, __pyx_n_s_pt3, __pyx_n_s_v0, __pyx_n_s_v1, __pyx_n_s_v2); if (unlikely(!__pyx_tuple__26)) __PYX_ERR(0, 254, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__26);
  __Pyx_GIVEREF(__pyx_tuple__26);
  __pyx_codeobj__27 = (PyObject*)__Pyx_PyCode_New(3, 0, 0, 6, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__26, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_approximateQuadraticArcLengthC, 254, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__27)) __PYX_ERR(0, 254, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":298
 * 
 * 
 * def calcQuadraticBounds(pt1, pt2, pt3):             # <<<<<<<<<<<<<<
 *     """Calculates the bounding rectangle for a quadratic Bezier segment.
 * 
 */
  __pyx_tuple__28 = PyTuple_Pack(14, __pyx_n_s_pt1, __pyx_n_s_pt2, __pyx_n_s_pt3, __pyx_n_s_ax, __pyx_n_s_ay, __pyx_n_s_bx, __pyx_n_s_by, __pyx_n_s_cx, __pyx_n_s_cy, __pyx_n_s_ax2, __pyx_n_s_ay2, __pyx_n_s_roots, __pyx_n_s_points, __pyx_n_s_t); if (unlikely(!__pyx_tuple__28)) __PYX_ERR(0, 298, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__28);
  __Pyx_GIVEREF(__pyx_tuple__28);
  __pyx_codeobj__29 = (PyObject*)__Pyx_PyCode_New(3, 0, 0, 14, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__28, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_calcQuadraticBounds, 298, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__29)) __PYX_ERR(0, 298, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":332
 * 
 * 
 * def approximateCubicArcLength(pt1, pt2, pt3, pt4):             # <<<<<<<<<<<<<<
 *     """Approximates the arc length for a cubic Bezier segment.
 * 
 */
  __pyx_tuple__30 = PyTuple_Pack(4, __pyx_n_s_pt1, __pyx_n_s_pt2, __pyx_n_s_pt3, __pyx_n_s_pt4); if (unlikely(!__pyx_tuple__30)) __PYX_ERR(0, 332, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__30);
  __Pyx_GIVEREF(__pyx_tuple__30);
  __pyx_codeobj__31 = (PyObject*)__Pyx_PyCode_New(4, 0, 0, 4, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__30, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_approximateCubicArcLength, 332, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__31)) __PYX_ERR(0, 332, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":362
 * 
 * 
 * @cython.returns(cython.double)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     pt1=cython.complex,
 */
  __pyx_tuple__32 = PyTuple_Pack(9, __pyx_n_s_pt1, __pyx_n_s_pt2, __pyx_n_s_pt3, __pyx_n_s_pt4, __pyx_n_s_v0, __pyx_n_s_v1, __pyx_n_s_v2, __pyx_n_s_v3, __pyx_n_s_v4); if (unlikely(!__pyx_tuple__32)) __PYX_ERR(0, 362, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__32);
  __Pyx_GIVEREF(__pyx_tuple__32);
  __pyx_codeobj__33 = (PyObject*)__Pyx_PyCode_New(4, 0, 0, 9, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__32, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_approximateCubicArcLengthC, 362, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__33)) __PYX_ERR(0, 362, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":412
 * 
 * 
 * def calcCubicBounds(pt1, pt2, pt3, pt4):             # <<<<<<<<<<<<<<
 *     """Calculates the bounding rectangle for a quadratic Bezier segment.
 * 
 */
  __pyx_tuple__34 = PyTuple_Pack(23, __pyx_n_s_pt1, __pyx_n_s_pt2, __pyx_n_s_pt3, __pyx_n_s_pt4, __pyx_n_s_ax, __pyx_n_s_ay, __pyx_n_s_bx, __pyx_n_s_by, __pyx_n_s_cx, __pyx_n_s_cy, __pyx_n_s_dx, __pyx_n_s_dy, __pyx_n_s_ax3, __pyx_n_s_ay3, __pyx_n_s_bx2, __pyx_n_s_by2, __pyx_n_s_xRoots, __pyx_n_s_yRoots, __pyx_n_s_roots, __pyx_n_s_points, __pyx_n_s_t, __pyx_n_s_t, __pyx_n_s_t); if (unlikely(!__pyx_tuple__34)) __PYX_ERR(0, 412, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__34);
  __Pyx_GIVEREF(__pyx_tuple__34);
  __pyx_codeobj__35 = (PyObject*)__Pyx_PyCode_New(4, 0, 0, 23, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__34, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_calcCubicBounds, 412, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__35)) __PYX_ERR(0, 412, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":450
 * 
 * 
 * def splitLine(pt1, pt2, where, isHorizontal):             # <<<<<<<<<<<<<<
 *     """Split a line at a given coordinate.
 * 
 */
  __pyx_tuple__36 = PyTuple_Pack(15, __pyx_n_s_pt1, __pyx_n_s_pt2, __pyx_n_s_where, __pyx_n_s_isHorizontal, __pyx_n_s_pt1x, __pyx_n_s_pt1y, __pyx_n_s_pt2x, __pyx_n_s_pt2y, __pyx_n_s_ax, __pyx_n_s_ay, __pyx_n_s_bx, __pyx_n_s_by, __pyx_n_s_a, __pyx_n_s_t, __pyx_n_s_midPt); if (unlikely(!__pyx_tuple__36)) __PYX_ERR(0, 450, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__36);
  __Pyx_GIVEREF(__pyx_tuple__36);
  __pyx_codeobj__37 = (PyObject*)__Pyx_PyCode_New(4, 0, 0, 15, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__36, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_splitLine, 450, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__37)) __PYX_ERR(0, 450, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":507
 * 
 * 
 * def splitQuadratic(pt1, pt2, pt3, where, isHorizontal):             # <<<<<<<<<<<<<<
 *     """Split a quadratic Bezier curve at a given coordinate.
 * 
 */
  __pyx_tuple__38 = PyTuple_Pack(11, __pyx_n_s_pt1, __pyx_n_s_pt2, __pyx_n_s_pt3, __pyx_n_s_where, __pyx_n_s_isHorizontal, __pyx_n_s_a, __pyx_n_s_b, __pyx_n_s_c, __pyx_n_s_solutions, __pyx_n_s_genexpr, __pyx_n_s_genexpr); if (unlikely(!__pyx_tuple__38)) __PYX_ERR(0, 507, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__38);
  __Pyx_GIVEREF(__pyx_tuple__38);
  __pyx_codeobj__39 = (PyObject*)__Pyx_PyCode_New(5, 0, 0, 11, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__38, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_splitQuadratic, 507, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__39)) __PYX_ERR(0, 507, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":552
 * 
 * 
 * def splitCubic(pt1, pt2, pt3, pt4, where, isHorizontal):             # <<<<<<<<<<<<<<
 *     """Split a cubic Bezier curve at a given coordinate.
 * 
 */
  __pyx_tuple__40 = PyTuple_Pack(13, __pyx_n_s_pt1, __pyx_n_s_pt2, __pyx_n_s_pt3, __pyx_n_s_pt4, __pyx_n_s_where, __pyx_n_s_isHorizontal, __pyx_n_s_a, __pyx_n_s_b, __pyx_n_s_c, __pyx_n_s_d, __pyx_n_s_solutions, __pyx_n_s_genexpr, __pyx_n_s_genexpr); if (unlikely(!__pyx_tuple__40)) __PYX_ERR(0, 552, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__40);
  __Pyx_GIVEREF(__pyx_tuple__40);
  __pyx_codeobj__41 = (PyObject*)__Pyx_PyCode_New(6, 0, 0, 13, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__40, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_splitCubic, 552, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__41)) __PYX_ERR(0, 552, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":589
 * 
 * 
 * def splitQuadraticAtT(pt1, pt2, pt3, *ts):             # <<<<<<<<<<<<<<
 *     """Split a quadratic Bezier curve at one or more values of t.
 * 
 */
  __pyx_tuple__42 = PyTuple_Pack(7, __pyx_n_s_pt1, __pyx_n_s_pt2, __pyx_n_s_pt3, __pyx_n_s_ts, __pyx_n_s_a, __pyx_n_s_b, __pyx_n_s_c); if (unlikely(!__pyx_tuple__42)) __PYX_ERR(0, 589, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__42);
  __Pyx_GIVEREF(__pyx_tuple__42);
  __pyx_codeobj__43 = (PyObject*)__Pyx_PyCode_New(3, 0, 0, 7, 0, CO_OPTIMIZED|CO_NEWLOCALS|CO_VARARGS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__42, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_splitQuadraticAtT_2, 589, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__43)) __PYX_ERR(0, 589, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":613
 * 
 * 
 * def splitCubicAtT(pt1, pt2, pt3, pt4, *ts):             # <<<<<<<<<<<<<<
 *     """Split a cubic Bezier curve at one or more values of t.
 * 
 */
  __pyx_tuple__44 = PyTuple_Pack(9, __pyx_n_s_pt1, __pyx_n_s_pt2, __pyx_n_s_pt3, __pyx_n_s_pt4, __pyx_n_s_ts, __pyx_n_s_a, __pyx_n_s_b, __pyx_n_s_c, __pyx_n_s_d); if (unlikely(!__pyx_tuple__44)) __PYX_ERR(0, 613, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__44);
  __Pyx_GIVEREF(__pyx_tuple__44);
  __pyx_codeobj__45 = (PyObject*)__Pyx_PyCode_New(4, 0, 0, 9, 0, CO_OPTIMIZED|CO_NEWLOCALS|CO_VARARGS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__44, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_splitCubicAtT_2, 613, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__45)) __PYX_ERR(0, 613, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":637
 * 
 * 
 * @cython.locals(             # <<<<<<<<<<<<<<
 *     pt1=cython.complex,
 *     pt2=cython.complex,
 */
  __pyx_codeobj_ = (PyObject*)__Pyx_PyCode_New(4, 0, 0, 9, 0, CO_OPTIMIZED|CO_NEWLOCALS|CO_VARARGS|CO_GENERATOR, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__44, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_splitCubicAtTC, 637, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj_)) __PYX_ERR(0, 637, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":661
 * 
 * 
 * @cython.returns(cython.complex)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     t=cython.double,
 */
  __pyx_tuple__46 = PyTuple_Pack(12, __pyx_n_s_pt1, __pyx_n_s_pt2, __pyx_n_s_pt3, __pyx_n_s_pt4, __pyx_n_s_t, __pyx_n_s_t2, __pyx_n_s_1_t, __pyx_n_s_1_t_2, __pyx_n_s_2_t_1_t, __pyx_n_s_pointAtT, __pyx_n_s_off1, __pyx_n_s_off2); if (unlikely(!__pyx_tuple__46)) __PYX_ERR(0, 661, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__46);
  __Pyx_GIVEREF(__pyx_tuple__46);
  __pyx_codeobj__47 = (PyObject*)__Pyx_PyCode_New(5, 0, 0, 12, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__46, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_splitCubicIntoTwoAtTC, 661, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__47)) __PYX_ERR(0, 661, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":701
 * 
 * 
 * def _splitQuadraticAtT(a, b, c, *ts):             # <<<<<<<<<<<<<<
 *     ts = list(ts)
 *     segments = []
 */
  __pyx_tuple__48 = PyTuple_Pack(26, __pyx_n_s_a, __pyx_n_s_b, __pyx_n_s_c, __pyx_n_s_ts, __pyx_n_s_segments, __pyx_n_s_ax, __pyx_n_s_ay, __pyx_n_s_bx, __pyx_n_s_by, __pyx_n_s_cx, __pyx_n_s_cy, __pyx_n_s_i, __pyx_n_s_t1, __pyx_n_s_t2, __pyx_n_s_delta, __pyx_n_s_delta_2, __pyx_n_s_a1x, __pyx_n_s_a1y, __pyx_n_s_b1x, __pyx_n_s_b1y, __pyx_n_s_t1_2, __pyx_n_s_c1x, __pyx_n_s_c1y, __pyx_n_s_pt1, __pyx_n_s_pt2, __pyx_n_s_pt3); if (unlikely(!__pyx_tuple__48)) __PYX_ERR(0, 701, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__48);
  __Pyx_GIVEREF(__pyx_tuple__48);
  __pyx_codeobj__49 = (PyObject*)__Pyx_PyCode_New(3, 0, 0, 26, 0, CO_OPTIMIZED|CO_NEWLOCALS|CO_VARARGS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__48, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_splitQuadraticAtT, 701, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__49)) __PYX_ERR(0, 701, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":728
 * 
 * 
 * def _splitCubicAtT(a, b, c, d, *ts):             # <<<<<<<<<<<<<<
 *     ts = list(ts)
 *     ts.insert(0, 0.0)
 */
  __pyx_tuple__50 = PyTuple_Pack(34, __pyx_n_s_a, __pyx_n_s_b, __pyx_n_s_c, __pyx_n_s_d, __pyx_n_s_ts, __pyx_n_s_segments, __pyx_n_s_ax, __pyx_n_s_ay, __pyx_n_s_bx, __pyx_n_s_by, __pyx_n_s_cx, __pyx_n_s_cy, __pyx_n_s_dx, __pyx_n_s_dy, __pyx_n_s_i, __pyx_n_s_t1, __pyx_n_s_t2, __pyx_n_s_delta, __pyx_n_s_delta_2, __pyx_n_s_delta_3, __pyx_n_s_t1_2, __pyx_n_s_t1_3, __pyx_n_s_a1x, __pyx_n_s_a1y, __pyx_n_s_b1x, __pyx_n_s_b1y, __pyx_n_s_c1x, __pyx_n_s_c1y, __pyx_n_s_d1x, __pyx_n_s_d1y, __pyx_n_s_pt1, __pyx_n_s_pt2, __pyx_n_s_pt3, __pyx_n_s_pt4); if (unlikely(!__pyx_tuple__50)) __PYX_ERR(0, 728, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__50);
  __Pyx_GIVEREF(__pyx_tuple__50);
  __pyx_codeobj__51 = (PyObject*)__Pyx_PyCode_New(4, 0, 0, 34, 0, CO_OPTIMIZED|CO_NEWLOCALS|CO_VARARGS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__50, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_splitCubicAtT, 728, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__51)) __PYX_ERR(0, 728, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":763
 * 
 * 
 * @cython.locals(             # <<<<<<<<<<<<<<
 *     a=cython.complex,
 *     b=cython.complex,
 */
  __pyx_tuple__52 = PyTuple_Pack(21, __pyx_n_s_a, __pyx_n_s_b, __pyx_n_s_c, __pyx_n_s_d, __pyx_n_s_ts, __pyx_n_s_t1, __pyx_n_s_t2, __pyx_n_s_delta, __pyx_n_s_delta_2, __pyx_n_s_delta_3, __pyx_n_s_a1, __pyx_n_s_b1, __pyx_n_s_c1, __pyx_n_s_d1, __pyx_n_s_i, __pyx_n_s_t1_2, __pyx_n_s_t1_3, __pyx_n_s_pt1, __pyx_n_s_pt2, __pyx_n_s_pt3, __pyx_n_s_pt4); if (unlikely(!__pyx_tuple__52)) __PYX_ERR(0, 763, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__52);
  __Pyx_GIVEREF(__pyx_tuple__52);
  __pyx_codeobj__3 = (PyObject*)__Pyx_PyCode_New(4, 0, 0, 21, 0, CO_OPTIMIZED|CO_NEWLOCALS|CO_VARARGS|CO_GENERATOR, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__52, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_splitCubicAtTC_2, 763, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__3)) __PYX_ERR(0, 763, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":808
 * 
 * 
 * def solveQuadratic(a, b, c, sqrt=sqrt):             # <<<<<<<<<<<<<<
 *     """Solve a quadratic equation.
 * 
 */
  __pyx_tuple__53 = PyTuple_Pack(7, __pyx_n_s_a, __pyx_n_s_b, __pyx_n_s_c, __pyx_n_s_sqrt, __pyx_n_s_roots, __pyx_n_s_DD, __pyx_n_s_rDD); if (unlikely(!__pyx_tuple__53)) __PYX_ERR(0, 808, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__53);
  __Pyx_GIVEREF(__pyx_tuple__53);
  __pyx_codeobj__54 = (PyObject*)__Pyx_PyCode_New(4, 0, 0, 7, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__53, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_solveQuadratic, 808, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__54)) __PYX_ERR(0, 808, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":841
 * 
 * 
 * def solveCubic(a, b, c, d):             # <<<<<<<<<<<<<<
 *     """Solve a cubic equation.
 * 
 */
  __pyx_tuple__55 = PyTuple_Pack(19, __pyx_n_s_a, __pyx_n_s_b, __pyx_n_s_c, __pyx_n_s_d, __pyx_n_s_a1, __pyx_n_s_a2, __pyx_n_s_a3, __pyx_n_s_Q, __pyx_n_s_R, __pyx_n_s_R2, __pyx_n_s_Q3, __pyx_n_s_R2_Q3, __pyx_n_s_x, __pyx_n_s_theta, __pyx_n_s_rQ2, __pyx_n_s_a1_3, __pyx_n_s_x0, __pyx_n_s_x1, __pyx_n_s_x2); if (unlikely(!__pyx_tuple__55)) __PYX_ERR(0, 841, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__55);
  __Pyx_GIVEREF(__pyx_tuple__55);
  __pyx_codeobj__56 = (PyObject*)__Pyx_PyCode_New(4, 0, 0, 19, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__55, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_solveCubic, 841, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__56)) __PYX_ERR(0, 841, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":938
 * 
 * 
 * def calcQuadraticParameters(pt1, pt2, pt3):             # <<<<<<<<<<<<<<
 *     x2, y2 = pt2
 *     x3, y3 = pt3
 */
  __pyx_tuple__57 = PyTuple_Pack(13, __pyx_n_s_pt1, __pyx_n_s_pt2, __pyx_n_s_pt3, __pyx_n_s_x2, __pyx_n_s_y2, __pyx_n_s_x3, __pyx_n_s_y3, __pyx_n_s_cx, __pyx_n_s_cy, __pyx_n_s_bx, __pyx_n_s_by, __pyx_n_s_ax, __pyx_n_s_ay); if (unlikely(!__pyx_tuple__57)) __PYX_ERR(0, 938, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__57);
  __Pyx_GIVEREF(__pyx_tuple__57);
  __pyx_codeobj__58 = (PyObject*)__Pyx_PyCode_New(3, 0, 0, 13, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__57, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_calcQuadraticParameters, 938, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__58)) __PYX_ERR(0, 938, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":949
 * 
 * 
 * def calcCubicParameters(pt1, pt2, pt3, pt4):             # <<<<<<<<<<<<<<
 *     x2, y2 = pt2
 *     x3, y3 = pt3
 */
  __pyx_tuple__59 = PyTuple_Pack(18, __pyx_n_s_pt1, __pyx_n_s_pt2, __pyx_n_s_pt3, __pyx_n_s_pt4, __pyx_n_s_x2, __pyx_n_s_y2, __pyx_n_s_x3, __pyx_n_s_y3, __pyx_n_s_x4, __pyx_n_s_y4, __pyx_n_s_dx, __pyx_n_s_dy, __pyx_n_s_cx, __pyx_n_s_cy, __pyx_n_s_bx, __pyx_n_s_by, __pyx_n_s_ax, __pyx_n_s_ay); if (unlikely(!__pyx_tuple__59)) __PYX_ERR(0, 949, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__59);
  __Pyx_GIVEREF(__pyx_tuple__59);
  __pyx_codeobj__60 = (PyObject*)__Pyx_PyCode_New(4, 0, 0, 18, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__59, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_calcCubicParameters, 949, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__60)) __PYX_ERR(0, 949, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":981
 * 
 * 
 * def calcQuadraticPoints(a, b, c):             # <<<<<<<<<<<<<<
 *     ax, ay = a
 *     bx, by = b
 */
  __pyx_tuple__61 = PyTuple_Pack(15, __pyx_n_s_a, __pyx_n_s_b, __pyx_n_s_c, __pyx_n_s_ax, __pyx_n_s_ay, __pyx_n_s_bx, __pyx_n_s_by, __pyx_n_s_cx, __pyx_n_s_cy, __pyx_n_s_x1, __pyx_n_s_y1, __pyx_n_s_x2, __pyx_n_s_y2, __pyx_n_s_x3, __pyx_n_s_y3); if (unlikely(!__pyx_tuple__61)) __PYX_ERR(0, 981, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__61);
  __Pyx_GIVEREF(__pyx_tuple__61);
  __pyx_codeobj__62 = (PyObject*)__Pyx_PyCode_New(3, 0, 0, 15, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__61, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_calcQuadraticPoints, 981, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__62)) __PYX_ERR(0, 981, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":994
 * 
 * 
 * def calcCubicPoints(a, b, c, d):             # <<<<<<<<<<<<<<
 *     ax, ay = a
 *     bx, by = b
 */
  __pyx_tuple__63 = PyTuple_Pack(20, __pyx_n_s_a, __pyx_n_s_b, __pyx_n_s_c, __pyx_n_s_d, __pyx_n_s_ax, __pyx_n_s_ay, __pyx_n_s_bx, __pyx_n_s_by, __pyx_n_s_cx, __pyx_n_s_cy, __pyx_n_s_dx, __pyx_n_s_dy, __pyx_n_s_x1, __pyx_n_s_y1, __pyx_n_s_x2, __pyx_n_s_y2, __pyx_n_s_x3, __pyx_n_s_y3, __pyx_n_s_x4, __pyx_n_s_y4); if (unlikely(!__pyx_tuple__63)) __PYX_ERR(0, 994, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__63);
  __Pyx_GIVEREF(__pyx_tuple__63);
  __pyx_codeobj__64 = (PyObject*)__Pyx_PyCode_New(4, 0, 0, 20, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__63, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_calcCubicPoints, 994, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__64)) __PYX_ERR(0, 994, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":1033
 * 
 * 
 * def linePointAtT(pt1, pt2, t):             # <<<<<<<<<<<<<<
 *     """Finds the point at time `t` on a line.
 * 
 */
  __pyx_tuple__65 = PyTuple_Pack(3, __pyx_n_s_pt1, __pyx_n_s_pt2, __pyx_n_s_t); if (unlikely(!__pyx_tuple__65)) __PYX_ERR(0, 1033, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__65);
  __Pyx_GIVEREF(__pyx_tuple__65);
  __pyx_codeobj__66 = (PyObject*)__Pyx_PyCode_New(3, 0, 0, 3, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__65, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_linePointAtT, 1033, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__66)) __PYX_ERR(0, 1033, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":1046
 * 
 * 
 * def quadraticPointAtT(pt1, pt2, pt3, t):             # <<<<<<<<<<<<<<
 *     """Finds the point at time `t` on a quadratic curve.
 * 
 */
  __pyx_tuple__67 = PyTuple_Pack(6, __pyx_n_s_pt1, __pyx_n_s_pt2, __pyx_n_s_pt3, __pyx_n_s_t, __pyx_n_s_x, __pyx_n_s_y); if (unlikely(!__pyx_tuple__67)) __PYX_ERR(0, 1046, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__67);
  __Pyx_GIVEREF(__pyx_tuple__67);
  __pyx_codeobj__68 = (PyObject*)__Pyx_PyCode_New(4, 0, 0, 6, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__67, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_quadraticPointAtT, 1046, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__68)) __PYX_ERR(0, 1046, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":1061
 * 
 * 
 * def cubicPointAtT(pt1, pt2, pt3, pt4, t):             # <<<<<<<<<<<<<<
 *     """Finds the point at time `t` on a cubic curve.
 * 
 */
  __pyx_tuple__69 = PyTuple_Pack(10, __pyx_n_s_pt1, __pyx_n_s_pt2, __pyx_n_s_pt3, __pyx_n_s_pt4, __pyx_n_s_t, __pyx_n_s_t2, __pyx_n_s_1_t, __pyx_n_s_1_t_2, __pyx_n_s_x, __pyx_n_s_y); if (unlikely(!__pyx_tuple__69)) __PYX_ERR(0, 1061, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__69);
  __Pyx_GIVEREF(__pyx_tuple__69);
  __pyx_codeobj__70 = (PyObject*)__Pyx_PyCode_New(5, 0, 0, 10, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__69, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_cubicPointAtT, 1061, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__70)) __PYX_ERR(0, 1061, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":1087
 * 
 * 
 * @cython.returns(cython.complex)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     t=cython.double,
 */
  __pyx_tuple__71 = PyTuple_Pack(8, __pyx_n_s_pt1, __pyx_n_s_pt2, __pyx_n_s_pt3, __pyx_n_s_pt4, __pyx_n_s_t, __pyx_n_s_t2, __pyx_n_s_1_t, __pyx_n_s_1_t_2); if (unlikely(!__pyx_tuple__71)) __PYX_ERR(0, 1087, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__71);
  __Pyx_GIVEREF(__pyx_tuple__71);
  __pyx_codeobj__72 = (PyObject*)__Pyx_PyCode_New(5, 0, 0, 8, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__71, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_cubicPointAtTC, 1087, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__72)) __PYX_ERR(0, 1087, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":1112
 * 
 * 
 * def segmentPointAtT(seg, t):             # <<<<<<<<<<<<<<
 *     if len(seg) == 2:
 *         return linePointAtT(*seg, t)
 */
  __pyx_tuple__73 = PyTuple_Pack(2, __pyx_n_s_seg, __pyx_n_s_t); if (unlikely(!__pyx_tuple__73)) __PYX_ERR(0, 1112, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__73);
  __Pyx_GIVEREF(__pyx_tuple__73);
  __pyx_codeobj__74 = (PyObject*)__Pyx_PyCode_New(2, 0, 0, 2, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__73, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_segmentPointAtT, 1112, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__74)) __PYX_ERR(0, 1112, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":1127
 * 
 * 
 * def _line_t_of_pt(s, e, pt):             # <<<<<<<<<<<<<<
 *     sx, sy = s
 *     ex, ey = e
 */
  __pyx_tuple__75 = PyTuple_Pack(9, __pyx_n_s_s, __pyx_n_s_e, __pyx_n_s_pt, __pyx_n_s_sx, __pyx_n_s_sy, __pyx_n_s_ex, __pyx_n_s_ey, __pyx_n_s_px, __pyx_n_s_py); if (unlikely(!__pyx_tuple__75)) __PYX_ERR(0, 1127, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__75);
  __Pyx_GIVEREF(__pyx_tuple__75);
  __pyx_codeobj__76 = (PyObject*)__Pyx_PyCode_New(3, 0, 0, 9, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__75, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_line_t_of_pt, 1127, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__76)) __PYX_ERR(0, 1127, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":1141
 * 
 * 
 * def _both_points_are_on_same_side_of_origin(a, b, origin):             # <<<<<<<<<<<<<<
 *     xDiff = (a[0] - origin[0]) * (b[0] - origin[0])
 *     yDiff = (a[1] - origin[1]) * (b[1] - origin[1])
 */
  __pyx_tuple__77 = PyTuple_Pack(5, __pyx_n_s_a, __pyx_n_s_b, __pyx_n_s_origin, __pyx_n_s_xDiff, __pyx_n_s_yDiff); if (unlikely(!__pyx_tuple__77)) __PYX_ERR(0, 1141, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__77);
  __Pyx_GIVEREF(__pyx_tuple__77);
  __pyx_codeobj__78 = (PyObject*)__Pyx_PyCode_New(3, 0, 0, 5, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__77, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_both_points_are_on_same_side_of, 1141, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__78)) __PYX_ERR(0, 1141, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":1147
 * 
 * 
 * def lineLineIntersections(s1, e1, s2, e2):             # <<<<<<<<<<<<<<
 *     """Finds intersections between two line segments.
 * 
 */
  __pyx_tuple__79 = PyTuple_Pack(17, __pyx_n_s_s1, __pyx_n_s_e1, __pyx_n_s_s2, __pyx_n_s_e2, __pyx_n_s_s1x, __pyx_n_s_s1y, __pyx_n_s_e1x, __pyx_n_s_e1y, __pyx_n_s_s2x, __pyx_n_s_s2y, __pyx_n_s_e2x, __pyx_n_s_e2y, __pyx_n_s_x, __pyx_n_s_slope34, __pyx_n_s_y, __pyx_n_s_pt, __pyx_n_s_slope12); if (unlikely(!__pyx_tuple__79)) __PYX_ERR(0, 1147, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__79);
  __Pyx_GIVEREF(__pyx_tuple__79);
  __pyx_codeobj__80 = (PyObject*)__Pyx_PyCode_New(4, 0, 0, 17, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__79, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_lineLineIntersections, 1147, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__80)) __PYX_ERR(0, 1147, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":1225
 * 
 * 
 * def _alignment_transformation(segment):             # <<<<<<<<<<<<<<
 *     # Returns a transformation which aligns a segment horizontally at the
 *     # origin. Apply this transformation to curves and root-find to find
 */
  __pyx_tuple__81 = PyTuple_Pack(4, __pyx_n_s_segment, __pyx_n_s_start, __pyx_n_s_end, __pyx_n_s_angle); if (unlikely(!__pyx_tuple__81)) __PYX_ERR(0, 1225, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__81);
  __Pyx_GIVEREF(__pyx_tuple__81);
  __pyx_codeobj__82 = (PyObject*)__Pyx_PyCode_New(1, 0, 0, 4, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__81, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_alignment_transformation, 1225, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__82)) __PYX_ERR(0, 1225, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":1235
 * 
 * 
 * def _curve_line_intersections_t(curve, line):             # <<<<<<<<<<<<<<
 *     aligned_curve = _alignment_transformation(line).transformPoints(curve)
 *     if len(curve) == 3:
 */
  __pyx_tuple__83 = PyTuple_Pack(10, __pyx_n_s_curve, __pyx_n_s_line, __pyx_n_s_aligned_curve, __pyx_n_s_a, __pyx_n_s_b, __pyx_n_s_c, __pyx_n_s_intersections, __pyx_n_s_d, __pyx_n_s_genexpr, __pyx_n_s_genexpr); if (unlikely(!__pyx_tuple__83)) __PYX_ERR(0, 1235, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__83);
  __Pyx_GIVEREF(__pyx_tuple__83);
  __pyx_codeobj__84 = (PyObject*)__Pyx_PyCode_New(2, 0, 0, 10, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__83, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_curve_line_intersections_t, 1235, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__84)) __PYX_ERR(0, 1235, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":1248
 * 
 * 
 * def curveLineIntersections(curve, line):             # <<<<<<<<<<<<<<
 *     """Finds intersections between a curve and a line.
 * 
 */
  __pyx_tuple__85 = PyTuple_Pack(7, __pyx_n_s_curve, __pyx_n_s_line, __pyx_n_s_pointFinder, __pyx_n_s_intersections, __pyx_n_s_t, __pyx_n_s_pt, __pyx_n_s_line_t); if (unlikely(!__pyx_tuple__85)) __PYX_ERR(0, 1248, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__85);
  __Pyx_GIVEREF(__pyx_tuple__85);
  __pyx_codeobj__86 = (PyObject*)__Pyx_PyCode_New(2, 0, 0, 7, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__85, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_curveLineIntersections, 1248, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__86)) __PYX_ERR(0, 1248, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":1286
 * 
 * 
 * def _curve_bounds(c):             # <<<<<<<<<<<<<<
 *     if len(c) == 3:
 *         return calcQuadraticBounds(*c)
 */
  __pyx_tuple__87 = PyTuple_Pack(1, __pyx_n_s_c); if (unlikely(!__pyx_tuple__87)) __PYX_ERR(0, 1286, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__87);
  __Pyx_GIVEREF(__pyx_tuple__87);
  __pyx_codeobj__88 = (PyObject*)__Pyx_PyCode_New(1, 0, 0, 1, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__87, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_curve_bounds, 1286, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__88)) __PYX_ERR(0, 1286, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":1294
 * 
 * 
 * def _split_segment_at_t(c, t):             # <<<<<<<<<<<<<<
 *     if len(c) == 2:
 *         s, e = c
 */
  __pyx_tuple__89 = PyTuple_Pack(5, __pyx_n_s_c, __pyx_n_s_t, __pyx_n_s_s, __pyx_n_s_e, __pyx_n_s_midpoint); if (unlikely(!__pyx_tuple__89)) __PYX_ERR(0, 1294, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__89);
  __Pyx_GIVEREF(__pyx_tuple__89);
  __pyx_codeobj__90 = (PyObject*)__Pyx_PyCode_New(2, 0, 0, 5, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__89, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_split_segment_at_t, 1294, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__90)) __PYX_ERR(0, 1294, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":1306
 * 
 * 
 * def _curve_curve_intersections_t(             # <<<<<<<<<<<<<<
 *     curve1, curve2, precision=1e-3, range1=None, range2=None
 * ):
 */
  __pyx_tuple__92 = PyTuple_Pack(25, __pyx_n_s_curve1, __pyx_n_s_curve2, __pyx_n_s_precision, __pyx_n_s_range1, __pyx_n_s_range2, __pyx_n_s_bounds1, __pyx_n_s_bounds2, __pyx_n_s_intersects, __pyx_n_s__91, __pyx_n_s_midpoint, __pyx_n_s_midpoint, __pyx_n_s_c11, __pyx_n_s_c12, __pyx_n_s_c11_range, __pyx_n_s_c12_range, __pyx_n_s_c21, __pyx_n_s_c22, __pyx_n_s_c21_range, __pyx_n_s_c22_range, __pyx_n_s_found, __pyx_n_s_unique_key, __pyx_n_s_seen, __pyx_n_s_unique_values, __pyx_n_s_ts, __pyx_n_s_key); if (unlikely(!__pyx_tuple__92)) __PYX_ERR(0, 1306, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__92);
  __Pyx_GIVEREF(__pyx_tuple__92);
  __pyx_codeobj__93 = (PyObject*)__Pyx_PyCode_New(5, 0, 0, 25, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__92, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_curve_curve_intersections_t, 1306, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__93)) __PYX_ERR(0, 1306, __pyx_L1_error)
  __pyx_tuple__94 = PyTuple_Pack(3, ((PyObject*)__pyx_float_1eneg_3), Py_None, Py_None); if (unlikely(!__pyx_tuple__94)) __PYX_ERR(0, 1306, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__94);
  __Pyx_GIVEREF(__pyx_tuple__94);

  /* "fontTools/misc/bezierTools.py":1373
 * 
 * 
 * def _is_linelike(segment):             # <<<<<<<<<<<<<<
 *     maybeline = _alignment_transformation(segment).transformPoints(segment)
 *     return all(math.isclose(p[1], 0.0) for p in maybeline)
 */
  __pyx_tuple__95 = PyTuple_Pack(4, __pyx_n_s_segment, __pyx_n_s_maybeline, __pyx_n_s_genexpr, __pyx_n_s_genexpr); if (unlikely(!__pyx_tuple__95)) __PYX_ERR(0, 1373, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__95);
  __Pyx_GIVEREF(__pyx_tuple__95);
  __pyx_codeobj__96 = (PyObject*)__Pyx_PyCode_New(1, 0, 0, 4, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__95, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_is_linelike, 1373, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__96)) __PYX_ERR(0, 1373, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":1378
 * 
 * 
 * def curveCurveIntersections(curve1, curve2):             # <<<<<<<<<<<<<<
 *     """Finds intersections between a curve and a curve.
 * 
 */
  __pyx_tuple__97 = PyTuple_Pack(6, __pyx_n_s_curve1, __pyx_n_s_curve2, __pyx_n_s_line1, __pyx_n_s_line2, __pyx_n_s_intersection_ts, __pyx_n_s_ts); if (unlikely(!__pyx_tuple__97)) __PYX_ERR(0, 1378, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__97);
  __Pyx_GIVEREF(__pyx_tuple__97);
  __pyx_codeobj__98 = (PyObject*)__Pyx_PyCode_New(2, 0, 0, 6, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__97, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_curveCurveIntersections, 1378, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__98)) __PYX_ERR(0, 1378, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":1417
 * 
 * 
 * def segmentSegmentIntersections(seg1, seg2):             # <<<<<<<<<<<<<<
 *     """Finds intersections between two segments.
 * 
 */
  __pyx_tuple__99 = PyTuple_Pack(5, __pyx_n_s_seg1, __pyx_n_s_seg2, __pyx_n_s_swapped, __pyx_n_s_intersections, __pyx_n_s_i); if (unlikely(!__pyx_tuple__99)) __PYX_ERR(0, 1417, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__99);
  __Pyx_GIVEREF(__pyx_tuple__99);
  __pyx_codeobj__100 = (PyObject*)__Pyx_PyCode_New(2, 0, 0, 5, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__99, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_segmentSegmentIntersections, 1417, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__100)) __PYX_ERR(0, 1417, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":1465
 * 
 * 
 * def _segmentrepr(obj):             # <<<<<<<<<<<<<<
 *     """
 *     >>> _segmentrepr([1, [2, 3], [], [[2, [3, 4], [0.1, 2.2]]]])
 */
  __pyx_tuple__101 = PyTuple_Pack(4, __pyx_n_s_obj, __pyx_n_s_it, __pyx_n_s_genexpr, __pyx_n_s_genexpr); if (unlikely(!__pyx_tuple__101)) __PYX_ERR(0, 1465, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__101);
  __Pyx_GIVEREF(__pyx_tuple__101);
  __pyx_codeobj__102 = (PyObject*)__Pyx_PyCode_New(1, 0, 0, 4, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__101, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_segmentrepr, 1465, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__102)) __PYX_ERR(0, 1465, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":1478
 * 
 * 
 * def printSegments(segments):             # <<<<<<<<<<<<<<
 *     """Helper for the doctests, displaying each segment in a list of
 *     segments on a single line as a tuple.
 */
  __pyx_tuple__103 = PyTuple_Pack(2, __pyx_n_s_segments, __pyx_n_s_segment); if (unlikely(!__pyx_tuple__103)) __PYX_ERR(0, 1478, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__103);
  __Pyx_GIVEREF(__pyx_tuple__103);
  __pyx_codeobj__104 = (PyObject*)__Pyx_PyCode_New(1, 0, 0, 2, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__103, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_printSegments, 1478, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__104)) __PYX_ERR(0, 1478, __pyx_L1_error)
  __Pyx_RefNannyFinishContext();
  return 0;
  __pyx_L1_error:;
  __Pyx_RefNannyFinishContext();
  return -1;
}
/* #### Code section: init_constants ### */

static CYTHON_SMALL_CODE int __Pyx_InitConstants(void) {
  if (__Pyx_CreateStringTabAndInitStrings() < 0) __PYX_ERR(0, 1, __pyx_L1_error);
  __pyx_float_0_0 = PyFloat_FromDouble(0.0); if (unlikely(!__pyx_float_0_0)) __PYX_ERR(0, 1, __pyx_L1_error)
  __pyx_float_0_5 = PyFloat_FromDouble(0.5); if (unlikely(!__pyx_float_0_5)) __PYX_ERR(0, 1, __pyx_L1_error)
  __pyx_float_1_0 = PyFloat_FromDouble(1.0); if (unlikely(!__pyx_float_1_0)) __PYX_ERR(0, 1, __pyx_L1_error)
  __pyx_float_2_0 = PyFloat_FromDouble(2.0); if (unlikely(!__pyx_float_2_0)) __PYX_ERR(0, 1, __pyx_L1_error)
  __pyx_float_3_0 = PyFloat_FromDouble(3.0); if (unlikely(!__pyx_float_3_0)) __PYX_ERR(0, 1, __pyx_L1_error)
  __pyx_float_4_0 = PyFloat_FromDouble(4.0); if (unlikely(!__pyx_float_4_0)) __PYX_ERR(0, 1, __pyx_L1_error)
  __pyx_float_9_0 = PyFloat_FromDouble(9.0); if (unlikely(!__pyx_float_9_0)) __PYX_ERR(0, 1, __pyx_L1_error)
  __pyx_float_1eneg_3 = PyFloat_FromDouble(1e-3); if (unlikely(!__pyx_float_1eneg_3)) __PYX_ERR(0, 1, __pyx_L1_error)
  __pyx_float_27_0 = PyFloat_FromDouble(27.0); if (unlikely(!__pyx_float_27_0)) __PYX_ERR(0, 1, __pyx_L1_error)
  __pyx_float_54_0 = PyFloat_FromDouble(54.0); if (unlikely(!__pyx_float_54_0)) __PYX_ERR(0, 1, __pyx_L1_error)
  __pyx_float_0_005 = PyFloat_FromDouble(0.005); if (unlikely(!__pyx_float_0_005)) __PYX_ERR(0, 1, __pyx_L1_error)
  __pyx_float_0_125 = PyFloat_FromDouble(0.125); if (unlikely(!__pyx_float_0_125)) __PYX_ERR(0, 1, __pyx_L1_error)
  __pyx_float_1eneg_10 = PyFloat_FromDouble(1e-10); if (unlikely(!__pyx_float_1eneg_10)) __PYX_ERR(0, 1, __pyx_L1_error)
  __pyx_float_neg_2_0 = PyFloat_FromDouble(-2.0); if (unlikely(!__pyx_float_neg_2_0)) __PYX_ERR(0, 1, __pyx_L1_error)
  __pyx_int_0 = PyInt_FromLong(0); if (unlikely(!__pyx_int_0)) __PYX_ERR(0, 1, __pyx_L1_error)
  __pyx_int_1 = PyInt_FromLong(1); if (unlikely(!__pyx_int_1)) __PYX_ERR(0, 1, __pyx_L1_error)
  __pyx_int_2 = PyInt_FromLong(2); if (unlikely(!__pyx_int_2)) __PYX_ERR(0, 1, __pyx_L1_error)
  __pyx_int_3 = PyInt_FromLong(3); if (unlikely(!__pyx_int_3)) __PYX_ERR(0, 1, __pyx_L1_error)
  __pyx_int_6 = PyInt_FromLong(6); if (unlikely(!__pyx_int_6)) __PYX_ERR(0, 1, __pyx_L1_error)
  __pyx_int_neg_1 = PyInt_FromLong(-1); if (unlikely(!__pyx_int_neg_1)) __PYX_ERR(0, 1, __pyx_L1_error)
  return 0;
  __pyx_L1_error:;
  return -1;
}
/* #### Code section: init_globals ### */

static CYTHON_SMALL_CODE int __Pyx_InitGlobals(void) {
  return 0;
}
/* #### Code section: init_module ### */

static CYTHON_SMALL_CODE int __Pyx_modinit_global_init_code(void); /*proto*/
static CYTHON_SMALL_CODE int __Pyx_modinit_variable_export_code(void); /*proto*/
static CYTHON_SMALL_CODE int __Pyx_modinit_function_export_code(void); /*proto*/
static CYTHON_SMALL_CODE int __Pyx_modinit_type_init_code(void); /*proto*/
static CYTHON_SMALL_CODE int __Pyx_modinit_type_import_code(void); /*proto*/
static CYTHON_SMALL_CODE int __Pyx_modinit_variable_import_code(void); /*proto*/
static CYTHON_SMALL_CODE int __Pyx_modinit_function_import_code(void); /*proto*/

static int __Pyx_modinit_global_init_code(void) {
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("__Pyx_modinit_global_init_code", 0);
  /*--- Global init code ---*/
  __Pyx_RefNannyFinishContext();
  return 0;
}

static int __Pyx_modinit_variable_export_code(void) {
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("__Pyx_modinit_variable_export_code", 0);
  /*--- Variable export code ---*/
  __Pyx_RefNannyFinishContext();
  return 0;
}

static int __Pyx_modinit_function_export_code(void) {
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("__Pyx_modinit_function_export_code", 0);
  /*--- Function export code ---*/
  __Pyx_RefNannyFinishContext();
  return 0;
}

static int __Pyx_modinit_type_init_code(void) {
  __Pyx_RefNannyDeclarations
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("__Pyx_modinit_type_init_code", 0);
  /*--- Type init code ---*/
  #if CYTHON_USE_TYPE_SPECS
  __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr = (PyTypeObject *) __Pyx_PyType_FromModuleAndSpec(__pyx_m, &__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr_spec, NULL); if (unlikely(!__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr)) __PYX_ERR(0, 546, __pyx_L1_error)
  if (__Pyx_fix_up_extension_type_from_spec(&__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr_spec, __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr) < 0) __PYX_ERR(0, 546, __pyx_L1_error)
  #else
  __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr = &__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr;
  #endif
  #if !CYTHON_COMPILING_IN_LIMITED_API
  #endif
  #if !CYTHON_USE_TYPE_SPECS
  if (__Pyx_PyType_Ready(__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr) < 0) __PYX_ERR(0, 546, __pyx_L1_error)
  #endif
  #if PY_MAJOR_VERSION < 3
  __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr->tp_print = 0;
  #endif
  #if !CYTHON_COMPILING_IN_LIMITED_API
  if ((CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP) && likely(!__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr->tp_dictoffset && __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr->tp_getattro == PyObject_GenericGetAttr)) {
    __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct__genexpr->tp_getattro = __Pyx_PyObject_GenericGetAttrNoDict;
  }
  #endif
  #if CYTHON_USE_TYPE_SPECS
  __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr = (PyTypeObject *) __Pyx_PyType_FromModuleAndSpec(__pyx_m, &__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr_spec, NULL); if (unlikely(!__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr)) __PYX_ERR(0, 583, __pyx_L1_error)
  if (__Pyx_fix_up_extension_type_from_spec(&__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr_spec, __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr) < 0) __PYX_ERR(0, 583, __pyx_L1_error)
  #else
  __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr = &__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr;
  #endif
  #if !CYTHON_COMPILING_IN_LIMITED_API
  #endif
  #if !CYTHON_USE_TYPE_SPECS
  if (__Pyx_PyType_Ready(__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr) < 0) __PYX_ERR(0, 583, __pyx_L1_error)
  #endif
  #if PY_MAJOR_VERSION < 3
  __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr->tp_print = 0;
  #endif
  #if !CYTHON_COMPILING_IN_LIMITED_API
  if ((CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP) && likely(!__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr->tp_dictoffset && __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr->tp_getattro == PyObject_GenericGetAttr)) {
    __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr->tp_getattro = __Pyx_PyObject_GenericGetAttrNoDict;
  }
  #endif
  #if CYTHON_USE_TYPE_SPECS
  __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC = (PyTypeObject *) __Pyx_PyType_FromModuleAndSpec(__pyx_m, &__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC_spec, NULL); if (unlikely(!__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC)) __PYX_ERR(0, 637, __pyx_L1_error)
  if (__Pyx_fix_up_extension_type_from_spec(&__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC_spec, __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC) < 0) __PYX_ERR(0, 637, __pyx_L1_error)
  #else
  __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC = &__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC;
  #endif
  #if !CYTHON_COMPILING_IN_LIMITED_API
  #endif
  #if !CYTHON_USE_TYPE_SPECS
  if (__Pyx_PyType_Ready(__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC) < 0) __PYX_ERR(0, 637, __pyx_L1_error)
  #endif
  #if PY_MAJOR_VERSION < 3
  __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC->tp_print = 0;
  #endif
  #if !CYTHON_COMPILING_IN_LIMITED_API
  if ((CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP) && likely(!__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC->tp_dictoffset && __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC->tp_getattro == PyObject_GenericGetAttr)) {
    __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubicAtTC->tp_getattro = __Pyx_PyObject_GenericGetAttrNoDict;
  }
  #endif
  #if CYTHON_USE_TYPE_SPECS
  __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC = (PyTypeObject *) __Pyx_PyType_FromModuleAndSpec(__pyx_m, &__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC_spec, NULL); if (unlikely(!__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC)) __PYX_ERR(0, 763, __pyx_L1_error)
  if (__Pyx_fix_up_extension_type_from_spec(&__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC_spec, __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC) < 0) __PYX_ERR(0, 763, __pyx_L1_error)
  #else
  __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC = &__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC;
  #endif
  #if !CYTHON_COMPILING_IN_LIMITED_API
  #endif
  #if !CYTHON_USE_TYPE_SPECS
  if (__Pyx_PyType_Ready(__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC) < 0) __PYX_ERR(0, 763, __pyx_L1_error)
  #endif
  #if PY_MAJOR_VERSION < 3
  __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC->tp_print = 0;
  #endif
  #if !CYTHON_COMPILING_IN_LIMITED_API
  if ((CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP) && likely(!__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC->tp_dictoffset && __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC->tp_getattro == PyObject_GenericGetAttr)) {
    __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_3__splitCubicAtTC->tp_getattro = __Pyx_PyObject_GenericGetAttrNoDict;
  }
  #endif
  #if CYTHON_USE_TYPE_SPECS
  __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr = (PyTypeObject *) __Pyx_PyType_FromModuleAndSpec(__pyx_m, &__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr_spec, NULL); if (unlikely(!__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr)) __PYX_ERR(0, 1245, __pyx_L1_error)
  if (__Pyx_fix_up_extension_type_from_spec(&__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr_spec, __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr) < 0) __PYX_ERR(0, 1245, __pyx_L1_error)
  #else
  __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr = &__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr;
  #endif
  #if !CYTHON_COMPILING_IN_LIMITED_API
  #endif
  #if !CYTHON_USE_TYPE_SPECS
  if (__Pyx_PyType_Ready(__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr) < 0) __PYX_ERR(0, 1245, __pyx_L1_error)
  #endif
  #if PY_MAJOR_VERSION < 3
  __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr->tp_print = 0;
  #endif
  #if !CYTHON_COMPILING_IN_LIMITED_API
  if ((CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP) && likely(!__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr->tp_dictoffset && __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr->tp_getattro == PyObject_GenericGetAttr)) {
    __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_genexpr->tp_getattro = __Pyx_PyObject_GenericGetAttrNoDict;
  }
  #endif
  #if CYTHON_USE_TYPE_SPECS
  __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t = (PyTypeObject *) __Pyx_PyType_FromModuleAndSpec(__pyx_m, &__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t_spec, NULL); if (unlikely(!__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t)) __PYX_ERR(0, 1306, __pyx_L1_error)
  if (__Pyx_fix_up_extension_type_from_spec(&__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t_spec, __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t) < 0) __PYX_ERR(0, 1306, __pyx_L1_error)
  #else
  __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t = &__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t;
  #endif
  #if !CYTHON_COMPILING_IN_LIMITED_API
  #endif
  #if !CYTHON_USE_TYPE_SPECS
  if (__Pyx_PyType_Ready(__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t) < 0) __PYX_ERR(0, 1306, __pyx_L1_error)
  #endif
  #if PY_MAJOR_VERSION < 3
  __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t->tp_print = 0;
  #endif
  #if !CYTHON_COMPILING_IN_LIMITED_API
  if ((CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP) && likely(!__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t->tp_dictoffset && __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t->tp_getattro == PyObject_GenericGetAttr)) {
    __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__curve_curve_intersections_t->tp_getattro = __Pyx_PyObject_GenericGetAttrNoDict;
  }
  #endif
  #if CYTHON_USE_TYPE_SPECS
  __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr = (PyTypeObject *) __Pyx_PyType_FromModuleAndSpec(__pyx_m, &__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr_spec, NULL); if (unlikely(!__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr)) __PYX_ERR(0, 1375, __pyx_L1_error)
  if (__Pyx_fix_up_extension_type_from_spec(&__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr_spec, __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr) < 0) __PYX_ERR(0, 1375, __pyx_L1_error)
  #else
  __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr = &__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr;
  #endif
  #if !CYTHON_COMPILING_IN_LIMITED_API
  #endif
  #if !CYTHON_USE_TYPE_SPECS
  if (__Pyx_PyType_Ready(__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr) < 0) __PYX_ERR(0, 1375, __pyx_L1_error)
  #endif
  #if PY_MAJOR_VERSION < 3
  __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr->tp_print = 0;
  #endif
  #if !CYTHON_COMPILING_IN_LIMITED_API
  if ((CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP) && likely(!__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr->tp_dictoffset && __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr->tp_getattro == PyObject_GenericGetAttr)) {
    __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_6_genexpr->tp_getattro = __Pyx_PyObject_GenericGetAttrNoDict;
  }
  #endif
  #if CYTHON_USE_TYPE_SPECS
  __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr = (PyTypeObject *) __Pyx_PyType_FromModuleAndSpec(__pyx_m, &__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr_spec, NULL); if (unlikely(!__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr)) __PYX_ERR(0, 1475, __pyx_L1_error)
  if (__Pyx_fix_up_extension_type_from_spec(&__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr_spec, __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr) < 0) __PYX_ERR(0, 1475, __pyx_L1_error)
  #else
  __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr = &__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr;
  #endif
  #if !CYTHON_COMPILING_IN_LIMITED_API
  #endif
  #if !CYTHON_USE_TYPE_SPECS
  if (__Pyx_PyType_Ready(__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr) < 0) __PYX_ERR(0, 1475, __pyx_L1_error)
  #endif
  #if PY_MAJOR_VERSION < 3
  __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr->tp_print = 0;
  #endif
  #if !CYTHON_COMPILING_IN_LIMITED_API
  if ((CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP) && likely(!__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr->tp_dictoffset && __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr->tp_getattro == PyObject_GenericGetAttr)) {
    __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr->tp_getattro = __Pyx_PyObject_GenericGetAttrNoDict;
  }
  #endif
  __Pyx_RefNannyFinishContext();
  return 0;
  __pyx_L1_error:;
  __Pyx_RefNannyFinishContext();
  return -1;
}

static int __Pyx_modinit_type_import_code(void) {
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("__Pyx_modinit_type_import_code", 0);
  /*--- Type import code ---*/
  __Pyx_RefNannyFinishContext();
  return 0;
}

static int __Pyx_modinit_variable_import_code(void) {
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("__Pyx_modinit_variable_import_code", 0);
  /*--- Variable import code ---*/
  __Pyx_RefNannyFinishContext();
  return 0;
}

static int __Pyx_modinit_function_import_code(void) {
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("__Pyx_modinit_function_import_code", 0);
  /*--- Function import code ---*/
  __Pyx_RefNannyFinishContext();
  return 0;
}


#if PY_MAJOR_VERSION >= 3
#if CYTHON_PEP489_MULTI_PHASE_INIT
static PyObject* __pyx_pymod_create(PyObject *spec, PyModuleDef *def); /*proto*/
static int __pyx_pymod_exec_bezierTools(PyObject* module); /*proto*/
static PyModuleDef_Slot __pyx_moduledef_slots[] = {
  {Py_mod_create, (void*)__pyx_pymod_create},
  {Py_mod_exec, (void*)__pyx_pymod_exec_bezierTools},
  {0, NULL}
};
#endif

#ifdef __cplusplus
namespace {
  struct PyModuleDef __pyx_moduledef =
  #else
  static struct PyModuleDef __pyx_moduledef =
  #endif
  {
      PyModuleDef_HEAD_INIT,
      "bezierTools",
      __pyx_k_fontTools_misc_bezierTools_py_to, /* m_doc */
    #if CYTHON_PEP489_MULTI_PHASE_INIT
      0, /* m_size */
    #elif CYTHON_USE_MODULE_STATE
      sizeof(__pyx_mstate), /* m_size */
    #else
      -1, /* m_size */
    #endif
      __pyx_methods /* m_methods */,
    #if CYTHON_PEP489_MULTI_PHASE_INIT
      __pyx_moduledef_slots, /* m_slots */
    #else
      NULL, /* m_reload */
    #endif
    #if CYTHON_USE_MODULE_STATE
      __pyx_m_traverse, /* m_traverse */
      __pyx_m_clear, /* m_clear */
      NULL /* m_free */
    #else
      NULL, /* m_traverse */
      NULL, /* m_clear */
      NULL /* m_free */
    #endif
  };
  #ifdef __cplusplus
} /* anonymous namespace */
#endif
#endif

#ifndef CYTHON_NO_PYINIT_EXPORT
#define __Pyx_PyMODINIT_FUNC PyMODINIT_FUNC
#elif PY_MAJOR_VERSION < 3
#ifdef __cplusplus
#define __Pyx_PyMODINIT_FUNC extern "C" void
#else
#define __Pyx_PyMODINIT_FUNC void
#endif
#else
#ifdef __cplusplus
#define __Pyx_PyMODINIT_FUNC extern "C" PyObject *
#else
#define __Pyx_PyMODINIT_FUNC PyObject *
#endif
#endif


#if PY_MAJOR_VERSION < 3
__Pyx_PyMODINIT_FUNC initbezierTools(void) CYTHON_SMALL_CODE; /*proto*/
__Pyx_PyMODINIT_FUNC initbezierTools(void)
#else
__Pyx_PyMODINIT_FUNC PyInit_bezierTools(void) CYTHON_SMALL_CODE; /*proto*/
__Pyx_PyMODINIT_FUNC PyInit_bezierTools(void)
#if CYTHON_PEP489_MULTI_PHASE_INIT
{
  return PyModuleDef_Init(&__pyx_moduledef);
}
static CYTHON_SMALL_CODE int __Pyx_check_single_interpreter(void) {
    #if PY_VERSION_HEX >= 0x030700A1
    static PY_INT64_T main_interpreter_id = -1;
    PY_INT64_T current_id = PyInterpreterState_GetID(PyThreadState_Get()->interp);
    if (main_interpreter_id == -1) {
        main_interpreter_id = current_id;
        return (unlikely(current_id == -1)) ? -1 : 0;
    } else if (unlikely(main_interpreter_id != current_id))
    #else
    static PyInterpreterState *main_interpreter = NULL;
    PyInterpreterState *current_interpreter = PyThreadState_Get()->interp;
    if (!main_interpreter) {
        main_interpreter = current_interpreter;
    } else if (unlikely(main_interpreter != current_interpreter))
    #endif
    {
        PyErr_SetString(
            PyExc_ImportError,
            "Interpreter change detected - this module can only be loaded into one interpreter per process.");
        return -1;
    }
    return 0;
}
#if CYTHON_COMPILING_IN_LIMITED_API
static CYTHON_SMALL_CODE int __Pyx_copy_spec_to_module(PyObject *spec, PyObject *module, const char* from_name, const char* to_name, int allow_none)
#else
static CYTHON_SMALL_CODE int __Pyx_copy_spec_to_module(PyObject *spec, PyObject *moddict, const char* from_name, const char* to_name, int allow_none)
#endif
{
    PyObject *value = PyObject_GetAttrString(spec, from_name);
    int result = 0;
    if (likely(value)) {
        if (allow_none || value != Py_None) {
#if CYTHON_COMPILING_IN_LIMITED_API
            result = PyModule_AddObject(module, to_name, value);
#else
            result = PyDict_SetItemString(moddict, to_name, value);
#endif
        }
        Py_DECREF(value);
    } else if (PyErr_ExceptionMatches(PyExc_AttributeError)) {
        PyErr_Clear();
    } else {
        result = -1;
    }
    return result;
}
static CYTHON_SMALL_CODE PyObject* __pyx_pymod_create(PyObject *spec, PyModuleDef *def) {
    PyObject *module = NULL, *moddict, *modname;
    CYTHON_UNUSED_VAR(def);
    if (__Pyx_check_single_interpreter())
        return NULL;
    if (__pyx_m)
        return __Pyx_NewRef(__pyx_m);
    modname = PyObject_GetAttrString(spec, "name");
    if (unlikely(!modname)) goto bad;
    module = PyModule_NewObject(modname);
    Py_DECREF(modname);
    if (unlikely(!module)) goto bad;
#if CYTHON_COMPILING_IN_LIMITED_API
    moddict = module;
#else
    moddict = PyModule_GetDict(module);
    if (unlikely(!moddict)) goto bad;
#endif
    if (unlikely(__Pyx_copy_spec_to_module(spec, moddict, "loader", "__loader__", 1) < 0)) goto bad;
    if (unlikely(__Pyx_copy_spec_to_module(spec, moddict, "origin", "__file__", 1) < 0)) goto bad;
    if (unlikely(__Pyx_copy_spec_to_module(spec, moddict, "parent", "__package__", 1) < 0)) goto bad;
    if (unlikely(__Pyx_copy_spec_to_module(spec, moddict, "submodule_search_locations", "__path__", 0) < 0)) goto bad;
    return module;
bad:
    Py_XDECREF(module);
    return NULL;
}


static CYTHON_SMALL_CODE int __pyx_pymod_exec_bezierTools(PyObject *__pyx_pyinit_module)
#endif
#endif
{
  int stringtab_initialized = 0;
  #if CYTHON_USE_MODULE_STATE
  int pystate_addmodule_run = 0;
  #endif
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  int __pyx_t_6;
  PyObject *__pyx_t_7 = NULL;
  PyObject *__pyx_t_8 = NULL;
  PyObject *__pyx_t_9 = NULL;
  int __pyx_t_10;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannyDeclarations
  #if CYTHON_PEP489_MULTI_PHASE_INIT
  if (__pyx_m) {
    if (__pyx_m == __pyx_pyinit_module) return 0;
    PyErr_SetString(PyExc_RuntimeError, "Module 'bezierTools' has already been imported. Re-initialisation is not supported.");
    return -1;
  }
  #elif PY_MAJOR_VERSION >= 3
  if (__pyx_m) return __Pyx_NewRef(__pyx_m);
  #endif
  /*--- Module creation code ---*/
  #if CYTHON_PEP489_MULTI_PHASE_INIT
  __pyx_m = __pyx_pyinit_module;
  Py_INCREF(__pyx_m);
  #else
  #if PY_MAJOR_VERSION < 3
  __pyx_m = Py_InitModule4("bezierTools", __pyx_methods, __pyx_k_fontTools_misc_bezierTools_py_to, 0, PYTHON_API_VERSION); Py_XINCREF(__pyx_m);
  if (unlikely(!__pyx_m)) __PYX_ERR(0, 1, __pyx_L1_error)
  #elif CYTHON_USE_MODULE_STATE
  __pyx_t_1 = PyModule_Create(&__pyx_moduledef); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1, __pyx_L1_error)
  {
    int add_module_result = PyState_AddModule(__pyx_t_1, &__pyx_moduledef);
    __pyx_t_1 = 0; /* transfer ownership from __pyx_t_1 to "bezierTools" pseudovariable */
    if (unlikely((add_module_result < 0))) __PYX_ERR(0, 1, __pyx_L1_error)
    pystate_addmodule_run = 1;
  }
  #else
  __pyx_m = PyModule_Create(&__pyx_moduledef);
  if (unlikely(!__pyx_m)) __PYX_ERR(0, 1, __pyx_L1_error)
  #endif
  #endif
  CYTHON_UNUSED_VAR(__pyx_t_1);
  __pyx_d = PyModule_GetDict(__pyx_m); if (unlikely(!__pyx_d)) __PYX_ERR(0, 1, __pyx_L1_error)
  Py_INCREF(__pyx_d);
  __pyx_b = __Pyx_PyImport_AddModuleRef(__Pyx_BUILTIN_MODULE_NAME); if (unlikely(!__pyx_b)) __PYX_ERR(0, 1, __pyx_L1_error)
  __pyx_cython_runtime = __Pyx_PyImport_AddModuleRef((const char *) "cython_runtime"); if (unlikely(!__pyx_cython_runtime)) __PYX_ERR(0, 1, __pyx_L1_error)
  if (PyObject_SetAttrString(__pyx_m, "__builtins__", __pyx_b) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
  #if CYTHON_REFNANNY
__Pyx_RefNanny = __Pyx_RefNannyImportAPI("refnanny");
if (!__Pyx_RefNanny) {
  PyErr_Clear();
  __Pyx_RefNanny = __Pyx_RefNannyImportAPI("Cython.Runtime.refnanny");
  if (!__Pyx_RefNanny)
      Py_FatalError("failed to import 'refnanny' module");
}
#endif
  __Pyx_RefNannySetupContext("__Pyx_PyMODINIT_FUNC PyInit_bezierTools(void)", 0);
  if (__Pyx_check_binary_version(__PYX_LIMITED_VERSION_HEX, __Pyx_get_runtime_version(), CYTHON_COMPILING_IN_LIMITED_API) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
  #ifdef __Pxy_PyFrame_Initialize_Offsets
  __Pxy_PyFrame_Initialize_Offsets();
  #endif
  __pyx_empty_tuple = PyTuple_New(0); if (unlikely(!__pyx_empty_tuple)) __PYX_ERR(0, 1, __pyx_L1_error)
  __pyx_empty_bytes = PyBytes_FromStringAndSize("", 0); if (unlikely(!__pyx_empty_bytes)) __PYX_ERR(0, 1, __pyx_L1_error)
  __pyx_empty_unicode = PyUnicode_FromStringAndSize("", 0); if (unlikely(!__pyx_empty_unicode)) __PYX_ERR(0, 1, __pyx_L1_error)
  #ifdef __Pyx_CyFunction_USED
  if (__pyx_CyFunction_init(__pyx_m) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
  #endif
  #ifdef __Pyx_FusedFunction_USED
  if (__pyx_FusedFunction_init(__pyx_m) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
  #endif
  #ifdef __Pyx_Coroutine_USED
  if (__pyx_Coroutine_init(__pyx_m) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
  #endif
  #ifdef __Pyx_Generator_USED
  if (__pyx_Generator_init(__pyx_m) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
  #endif
  #ifdef __Pyx_AsyncGen_USED
  if (__pyx_AsyncGen_init(__pyx_m) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
  #endif
  #ifdef __Pyx_StopAsyncIteration_USED
  if (__pyx_StopAsyncIteration_init(__pyx_m) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
  #endif
  /*--- Library function declarations ---*/
  /*--- Threads initialization code ---*/
  #if defined(WITH_THREAD) && PY_VERSION_HEX < 0x030700F0 && defined(__PYX_FORCE_INIT_THREADS) && __PYX_FORCE_INIT_THREADS
  PyEval_InitThreads();
  #endif
  /*--- Initialize various global constants etc. ---*/
  if (__Pyx_InitConstants() < 0) __PYX_ERR(0, 1, __pyx_L1_error)
  stringtab_initialized = 1;
  if (__Pyx_InitGlobals() < 0) __PYX_ERR(0, 1, __pyx_L1_error)
  #if PY_MAJOR_VERSION < 3 && (__PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT)
  if (__Pyx_init_sys_getdefaultencoding_params() < 0) __PYX_ERR(0, 1, __pyx_L1_error)
  #endif
  if (__pyx_module_is_main_fontTools__misc__bezierTools) {
    if (PyObject_SetAttr(__pyx_m, __pyx_n_s_name, __pyx_n_s_main) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
  }
  #if PY_MAJOR_VERSION >= 3
  {
    PyObject *modules = PyImport_GetModuleDict(); if (unlikely(!modules)) __PYX_ERR(0, 1, __pyx_L1_error)
    if (!PyDict_GetItemString(modules, "fontTools.misc.bezierTools")) {
      if (unlikely((PyDict_SetItemString(modules, "fontTools.misc.bezierTools", __pyx_m) < 0))) __PYX_ERR(0, 1, __pyx_L1_error)
    }
  }
  #endif
  /*--- Builtin init code ---*/
  if (__Pyx_InitCachedBuiltins() < 0) __PYX_ERR(0, 1, __pyx_L1_error)
  /*--- Constants init code ---*/
  if (__Pyx_InitCachedConstants() < 0) __PYX_ERR(0, 1, __pyx_L1_error)
  /*--- Global type/function init code ---*/
  (void)__Pyx_modinit_global_init_code();
  (void)__Pyx_modinit_variable_export_code();
  (void)__Pyx_modinit_function_export_code();
  if (unlikely((__Pyx_modinit_type_init_code() < 0))) __PYX_ERR(0, 1, __pyx_L1_error)
  (void)__Pyx_modinit_type_import_code();
  (void)__Pyx_modinit_variable_import_code();
  (void)__Pyx_modinit_function_import_code();
  /*--- Execution code ---*/
  #if defined(__Pyx_Generator_USED) || defined(__Pyx_Coroutine_USED)
  if (__Pyx_patch_abc() < 0) __PYX_ERR(0, 1, __pyx_L1_error)
  #endif

  /* "fontTools/misc/bezierTools.py":5
 * """
 * 
 * from fontTools.misc.arrayTools import calcBounds, sectRect, rectArea             # <<<<<<<<<<<<<<
 * from fontTools.misc.transform import Identity
 * import math
 */
  __pyx_t_2 = PyList_New(3); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 5, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_INCREF(__pyx_n_s_calcBounds);
  __Pyx_GIVEREF(__pyx_n_s_calcBounds);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 0, __pyx_n_s_calcBounds)) __PYX_ERR(0, 5, __pyx_L1_error);
  __Pyx_INCREF(__pyx_n_s_sectRect);
  __Pyx_GIVEREF(__pyx_n_s_sectRect);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 1, __pyx_n_s_sectRect)) __PYX_ERR(0, 5, __pyx_L1_error);
  __Pyx_INCREF(__pyx_n_s_rectArea);
  __Pyx_GIVEREF(__pyx_n_s_rectArea);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 2, __pyx_n_s_rectArea)) __PYX_ERR(0, 5, __pyx_L1_error);
  __pyx_t_3 = __Pyx_Import(__pyx_n_s_fontTools_misc_arrayTools, __pyx_t_2, 0); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 5, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = __Pyx_ImportFrom(__pyx_t_3, __pyx_n_s_calcBounds); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 5, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_calcBounds, __pyx_t_2) < 0) __PYX_ERR(0, 5, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = __Pyx_ImportFrom(__pyx_t_3, __pyx_n_s_sectRect); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 5, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_sectRect, __pyx_t_2) < 0) __PYX_ERR(0, 5, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = __Pyx_ImportFrom(__pyx_t_3, __pyx_n_s_rectArea); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 5, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_rectArea, __pyx_t_2) < 0) __PYX_ERR(0, 5, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":6
 * 
 * from fontTools.misc.arrayTools import calcBounds, sectRect, rectArea
 * from fontTools.misc.transform import Identity             # <<<<<<<<<<<<<<
 * import math
 * from collections import namedtuple
 */
  __pyx_t_3 = PyList_New(1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 6, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_INCREF(__pyx_n_s_Identity);
  __Pyx_GIVEREF(__pyx_n_s_Identity);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_3, 0, __pyx_n_s_Identity)) __PYX_ERR(0, 6, __pyx_L1_error);
  __pyx_t_2 = __Pyx_Import(__pyx_n_s_fontTools_misc_transform, __pyx_t_3, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 6, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = __Pyx_ImportFrom(__pyx_t_2, __pyx_n_s_Identity); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 6, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_Identity, __pyx_t_3) < 0) __PYX_ERR(0, 6, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":7
 * from fontTools.misc.arrayTools import calcBounds, sectRect, rectArea
 * from fontTools.misc.transform import Identity
 * import math             # <<<<<<<<<<<<<<
 * from collections import namedtuple
 * 
 */
  __pyx_t_2 = __Pyx_ImportDottedModule(__pyx_n_s_math, NULL); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 7, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_math, __pyx_t_2) < 0) __PYX_ERR(0, 7, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":8
 * from fontTools.misc.transform import Identity
 * import math
 * from collections import namedtuple             # <<<<<<<<<<<<<<
 * 
 * try:
 */
  __pyx_t_2 = PyList_New(1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 8, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_INCREF(__pyx_n_s_namedtuple);
  __Pyx_GIVEREF(__pyx_n_s_namedtuple);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 0, __pyx_n_s_namedtuple)) __PYX_ERR(0, 8, __pyx_L1_error);
  __pyx_t_3 = __Pyx_Import(__pyx_n_s_collections, __pyx_t_2, 0); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 8, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = __Pyx_ImportFrom(__pyx_t_3, __pyx_n_s_namedtuple); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 8, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_namedtuple, __pyx_t_2) < 0) __PYX_ERR(0, 8, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":10
 * from collections import namedtuple
 * 
 * try:             # <<<<<<<<<<<<<<
 *     import cython
 * 
 */
  {
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    __Pyx_ExceptionSave(&__pyx_t_1, &__pyx_t_4, &__pyx_t_5);
    __Pyx_XGOTREF(__pyx_t_1);
    __Pyx_XGOTREF(__pyx_t_4);
    __Pyx_XGOTREF(__pyx_t_5);
    /*try:*/ {

      /* "fontTools/misc/bezierTools.py":13
 *     import cython
 * 
 *     COMPILED = cython.compiled             # <<<<<<<<<<<<<<
 * except (AttributeError, ImportError):
 *     # if cython not installed, use mock module with no-op decorators and types
 */
      if (PyDict_SetItem(__pyx_d, __pyx_n_s_COMPILED, Py_True) < 0) __PYX_ERR(0, 13, __pyx_L2_error)

      /* "fontTools/misc/bezierTools.py":10
 * from collections import namedtuple
 * 
 * try:             # <<<<<<<<<<<<<<
 *     import cython
 * 
 */
    }
    __Pyx_XDECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_XDECREF(__pyx_t_4); __pyx_t_4 = 0;
    __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
    goto __pyx_L7_try_end;
    __pyx_L2_error:;
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;

    /* "fontTools/misc/bezierTools.py":14
 * 
 *     COMPILED = cython.compiled
 * except (AttributeError, ImportError):             # <<<<<<<<<<<<<<
 *     # if cython not installed, use mock module with no-op decorators and types
 *     from fontTools.misc import cython
 */
    __pyx_t_6 = __Pyx_PyErr_ExceptionMatches2(__pyx_builtin_AttributeError, __pyx_builtin_ImportError);
    if (__pyx_t_6) {
      __Pyx_AddTraceback("fontTools.misc.bezierTools", __pyx_clineno, __pyx_lineno, __pyx_filename);
      if (__Pyx_GetException(&__pyx_t_3, &__pyx_t_2, &__pyx_t_7) < 0) __PYX_ERR(0, 14, __pyx_L4_except_error)
      __Pyx_XGOTREF(__pyx_t_3);
      __Pyx_XGOTREF(__pyx_t_2);
      __Pyx_XGOTREF(__pyx_t_7);

      /* "fontTools/misc/bezierTools.py":16
 * except (AttributeError, ImportError):
 *     # if cython not installed, use mock module with no-op decorators and types
 *     from fontTools.misc import cython             # <<<<<<<<<<<<<<
 * 
 *     COMPILED = False
 */
      __pyx_t_8 = PyList_New(1); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 16, __pyx_L4_except_error)
      __Pyx_GOTREF(__pyx_t_8);
      __Pyx_INCREF(__pyx_n_s_cython);
      __Pyx_GIVEREF(__pyx_n_s_cython);
      if (__Pyx_PyList_SET_ITEM(__pyx_t_8, 0, __pyx_n_s_cython)) __PYX_ERR(0, 16, __pyx_L4_except_error);
      __pyx_t_9 = __Pyx_Import(__pyx_n_s_fontTools_misc, __pyx_t_8, 0); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 16, __pyx_L4_except_error)
      __Pyx_GOTREF(__pyx_t_9);
      __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
      __pyx_t_8 = __Pyx_ImportFrom(__pyx_t_9, __pyx_n_s_cython); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 16, __pyx_L4_except_error)
      __Pyx_GOTREF(__pyx_t_8);
      if (PyDict_SetItem(__pyx_d, __pyx_n_s_cython, __pyx_t_8) < 0) __PYX_ERR(0, 16, __pyx_L4_except_error)
      __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
      __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;

      /* "fontTools/misc/bezierTools.py":18
 *     from fontTools.misc import cython
 * 
 *     COMPILED = False             # <<<<<<<<<<<<<<
 * 
 * 
 */
      if (PyDict_SetItem(__pyx_d, __pyx_n_s_COMPILED, Py_False) < 0) __PYX_ERR(0, 18, __pyx_L4_except_error)
      __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
      __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
      __Pyx_XDECREF(__pyx_t_7); __pyx_t_7 = 0;
      goto __pyx_L3_exception_handled;
    }
    goto __pyx_L4_except_error;

    /* "fontTools/misc/bezierTools.py":10
 * from collections import namedtuple
 * 
 * try:             # <<<<<<<<<<<<<<
 *     import cython
 * 
 */
    __pyx_L4_except_error:;
    __Pyx_XGIVEREF(__pyx_t_1);
    __Pyx_XGIVEREF(__pyx_t_4);
    __Pyx_XGIVEREF(__pyx_t_5);
    __Pyx_ExceptionReset(__pyx_t_1, __pyx_t_4, __pyx_t_5);
    goto __pyx_L1_error;
    __pyx_L3_exception_handled:;
    __Pyx_XGIVEREF(__pyx_t_1);
    __Pyx_XGIVEREF(__pyx_t_4);
    __Pyx_XGIVEREF(__pyx_t_5);
    __Pyx_ExceptionReset(__pyx_t_1, __pyx_t_4, __pyx_t_5);
    __pyx_L7_try_end:;
  }

  /* "fontTools/misc/bezierTools.py":21
 * 
 * 
 * Intersection = namedtuple("Intersection", ["pt", "t1", "t2"])             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __Pyx_GetModuleGlobalName(__pyx_t_7, __pyx_n_s_namedtuple); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 21, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_7);
  __pyx_t_2 = PyList_New(3); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 21, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_INCREF(__pyx_n_u_pt);
  __Pyx_GIVEREF(__pyx_n_u_pt);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 0, __pyx_n_u_pt)) __PYX_ERR(0, 21, __pyx_L1_error);
  __Pyx_INCREF(__pyx_n_u_t1);
  __Pyx_GIVEREF(__pyx_n_u_t1);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 1, __pyx_n_u_t1)) __PYX_ERR(0, 21, __pyx_L1_error);
  __Pyx_INCREF(__pyx_n_u_t2);
  __Pyx_GIVEREF(__pyx_n_u_t2);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 2, __pyx_n_u_t2)) __PYX_ERR(0, 21, __pyx_L1_error);
  __pyx_t_3 = PyTuple_New(2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 21, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_INCREF(__pyx_n_u_Intersection);
  __Pyx_GIVEREF(__pyx_n_u_Intersection);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_n_u_Intersection)) __PYX_ERR(0, 21, __pyx_L1_error);
  __Pyx_GIVEREF(__pyx_t_2);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_t_2)) __PYX_ERR(0, 21, __pyx_L1_error);
  __pyx_t_2 = 0;
  __pyx_t_2 = __Pyx_PyObject_Call(__pyx_t_7, __pyx_t_3, NULL); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 21, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_Intersection, __pyx_t_2) < 0) __PYX_ERR(0, 21, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":24
 * 
 * 
 * __all__ = [             # <<<<<<<<<<<<<<
 *     "approximateCubicArcLength",
 *     "approximateCubicArcLengthC",
 */
  __pyx_t_2 = PyList_New(28); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 24, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_INCREF(__pyx_n_u_approximateCubicArcLength);
  __Pyx_GIVEREF(__pyx_n_u_approximateCubicArcLength);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 0, __pyx_n_u_approximateCubicArcLength)) __PYX_ERR(0, 24, __pyx_L1_error);
  __Pyx_INCREF(__pyx_n_u_approximateCubicArcLengthC);
  __Pyx_GIVEREF(__pyx_n_u_approximateCubicArcLengthC);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 1, __pyx_n_u_approximateCubicArcLengthC)) __PYX_ERR(0, 24, __pyx_L1_error);
  __Pyx_INCREF(__pyx_n_u_approximateQuadraticArcLength);
  __Pyx_GIVEREF(__pyx_n_u_approximateQuadraticArcLength);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 2, __pyx_n_u_approximateQuadraticArcLength)) __PYX_ERR(0, 24, __pyx_L1_error);
  __Pyx_INCREF(__pyx_n_u_approximateQuadraticArcLengthC);
  __Pyx_GIVEREF(__pyx_n_u_approximateQuadraticArcLengthC);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 3, __pyx_n_u_approximateQuadraticArcLengthC)) __PYX_ERR(0, 24, __pyx_L1_error);
  __Pyx_INCREF(__pyx_n_u_calcCubicArcLength);
  __Pyx_GIVEREF(__pyx_n_u_calcCubicArcLength);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 4, __pyx_n_u_calcCubicArcLength)) __PYX_ERR(0, 24, __pyx_L1_error);
  __Pyx_INCREF(__pyx_n_u_calcCubicArcLengthC);
  __Pyx_GIVEREF(__pyx_n_u_calcCubicArcLengthC);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 5, __pyx_n_u_calcCubicArcLengthC)) __PYX_ERR(0, 24, __pyx_L1_error);
  __Pyx_INCREF(__pyx_n_u_calcQuadraticArcLength);
  __Pyx_GIVEREF(__pyx_n_u_calcQuadraticArcLength);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 6, __pyx_n_u_calcQuadraticArcLength)) __PYX_ERR(0, 24, __pyx_L1_error);
  __Pyx_INCREF(__pyx_n_u_calcQuadraticArcLengthC);
  __Pyx_GIVEREF(__pyx_n_u_calcQuadraticArcLengthC);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 7, __pyx_n_u_calcQuadraticArcLengthC)) __PYX_ERR(0, 24, __pyx_L1_error);
  __Pyx_INCREF(__pyx_n_u_calcCubicBounds);
  __Pyx_GIVEREF(__pyx_n_u_calcCubicBounds);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 8, __pyx_n_u_calcCubicBounds)) __PYX_ERR(0, 24, __pyx_L1_error);
  __Pyx_INCREF(__pyx_n_u_calcQuadraticBounds);
  __Pyx_GIVEREF(__pyx_n_u_calcQuadraticBounds);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 9, __pyx_n_u_calcQuadraticBounds)) __PYX_ERR(0, 24, __pyx_L1_error);
  __Pyx_INCREF(__pyx_n_u_splitLine);
  __Pyx_GIVEREF(__pyx_n_u_splitLine);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 10, __pyx_n_u_splitLine)) __PYX_ERR(0, 24, __pyx_L1_error);
  __Pyx_INCREF(__pyx_n_u_splitQuadratic);
  __Pyx_GIVEREF(__pyx_n_u_splitQuadratic);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 11, __pyx_n_u_splitQuadratic)) __PYX_ERR(0, 24, __pyx_L1_error);
  __Pyx_INCREF(__pyx_n_u_splitCubic);
  __Pyx_GIVEREF(__pyx_n_u_splitCubic);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 12, __pyx_n_u_splitCubic)) __PYX_ERR(0, 24, __pyx_L1_error);
  __Pyx_INCREF(__pyx_n_u_splitQuadraticAtT_2);
  __Pyx_GIVEREF(__pyx_n_u_splitQuadraticAtT_2);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 13, __pyx_n_u_splitQuadraticAtT_2)) __PYX_ERR(0, 24, __pyx_L1_error);
  __Pyx_INCREF(__pyx_n_u_splitCubicAtT_2);
  __Pyx_GIVEREF(__pyx_n_u_splitCubicAtT_2);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 14, __pyx_n_u_splitCubicAtT_2)) __PYX_ERR(0, 24, __pyx_L1_error);
  __Pyx_INCREF(__pyx_n_u_splitCubicAtTC);
  __Pyx_GIVEREF(__pyx_n_u_splitCubicAtTC);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 15, __pyx_n_u_splitCubicAtTC)) __PYX_ERR(0, 24, __pyx_L1_error);
  __Pyx_INCREF(__pyx_n_u_splitCubicIntoTwoAtTC);
  __Pyx_GIVEREF(__pyx_n_u_splitCubicIntoTwoAtTC);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 16, __pyx_n_u_splitCubicIntoTwoAtTC)) __PYX_ERR(0, 24, __pyx_L1_error);
  __Pyx_INCREF(__pyx_n_u_solveQuadratic);
  __Pyx_GIVEREF(__pyx_n_u_solveQuadratic);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 17, __pyx_n_u_solveQuadratic)) __PYX_ERR(0, 24, __pyx_L1_error);
  __Pyx_INCREF(__pyx_n_u_solveCubic);
  __Pyx_GIVEREF(__pyx_n_u_solveCubic);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 18, __pyx_n_u_solveCubic)) __PYX_ERR(0, 24, __pyx_L1_error);
  __Pyx_INCREF(__pyx_n_u_quadraticPointAtT);
  __Pyx_GIVEREF(__pyx_n_u_quadraticPointAtT);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 19, __pyx_n_u_quadraticPointAtT)) __PYX_ERR(0, 24, __pyx_L1_error);
  __Pyx_INCREF(__pyx_n_u_cubicPointAtT);
  __Pyx_GIVEREF(__pyx_n_u_cubicPointAtT);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 20, __pyx_n_u_cubicPointAtT)) __PYX_ERR(0, 24, __pyx_L1_error);
  __Pyx_INCREF(__pyx_n_u_cubicPointAtTC);
  __Pyx_GIVEREF(__pyx_n_u_cubicPointAtTC);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 21, __pyx_n_u_cubicPointAtTC)) __PYX_ERR(0, 24, __pyx_L1_error);
  __Pyx_INCREF(__pyx_n_u_linePointAtT);
  __Pyx_GIVEREF(__pyx_n_u_linePointAtT);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 22, __pyx_n_u_linePointAtT)) __PYX_ERR(0, 24, __pyx_L1_error);
  __Pyx_INCREF(__pyx_n_u_segmentPointAtT);
  __Pyx_GIVEREF(__pyx_n_u_segmentPointAtT);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 23, __pyx_n_u_segmentPointAtT)) __PYX_ERR(0, 24, __pyx_L1_error);
  __Pyx_INCREF(__pyx_n_u_lineLineIntersections);
  __Pyx_GIVEREF(__pyx_n_u_lineLineIntersections);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 24, __pyx_n_u_lineLineIntersections)) __PYX_ERR(0, 24, __pyx_L1_error);
  __Pyx_INCREF(__pyx_n_u_curveLineIntersections);
  __Pyx_GIVEREF(__pyx_n_u_curveLineIntersections);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 25, __pyx_n_u_curveLineIntersections)) __PYX_ERR(0, 24, __pyx_L1_error);
  __Pyx_INCREF(__pyx_n_u_curveCurveIntersections);
  __Pyx_GIVEREF(__pyx_n_u_curveCurveIntersections);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 26, __pyx_n_u_curveCurveIntersections)) __PYX_ERR(0, 24, __pyx_L1_error);
  __Pyx_INCREF(__pyx_n_u_segmentSegmentIntersections);
  __Pyx_GIVEREF(__pyx_n_u_segmentSegmentIntersections);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 27, __pyx_n_u_segmentSegmentIntersections)) __PYX_ERR(0, 24, __pyx_L1_error);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_all, __pyx_t_2) < 0) __PYX_ERR(0, 24, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":56
 * 
 * 
 * def calcCubicArcLength(pt1, pt2, pt3, pt4, tolerance=0.005):             # <<<<<<<<<<<<<<
 *     """Calculates the arc length for a cubic Bezier segment.
 * 
 */
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_1calcCubicArcLength, 0, __pyx_n_s_calcCubicArcLength, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__13)); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 56, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_CyFunction_SetDefaultsTuple(__pyx_t_2, __pyx_tuple__14);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_calcCubicArcLength, __pyx_t_2) < 0) __PYX_ERR(0, 56, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":75
 * 
 * 
 * def _split_cubic_into_two(p0, p1, p2, p3):             # <<<<<<<<<<<<<<
 *     mid = (p0 + 3 * (p1 + p2) + p3) * 0.125
 *     deriv3 = (p3 + p2 - p1 - p0) * 0.125
 */
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_3_split_cubic_into_two, 0, __pyx_n_s_split_cubic_into_two, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__16)); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 75, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_split_cubic_into_two, __pyx_t_2) < 0) __PYX_ERR(0, 75, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":84
 * 
 * 
 * @cython.returns(cython.double)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     p0=cython.complex,
 */
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_5_calcCubicArcLengthCRecurse, 0, __pyx_n_s_calcCubicArcLengthCRecurse, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__18)); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 84, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_calcCubicArcLengthCRecurse, __pyx_t_2) < 0) __PYX_ERR(0, 84, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":115
 *     mult=cython.double,
 * )
 * def calcCubicArcLengthC(pt1, pt2, pt3, pt4, tolerance=0.005):             # <<<<<<<<<<<<<<
 *     """Calculates the arc length for a cubic Bezier segment.
 * 
 */
  __pyx_t_2 = PyFloat_FromDouble(((double)0.005)); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 115, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);

  /* "fontTools/misc/bezierTools.py":104
 * 
 * 
 * @cython.returns(cython.double)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     pt1=cython.complex,
 */
  __pyx_t_3 = PyTuple_New(1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 104, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_GIVEREF(__pyx_t_2);
  if (__Pyx_PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_2)) __PYX_ERR(0, 104, __pyx_L1_error);
  __pyx_t_2 = 0;
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_7calcCubicArcLengthC, 0, __pyx_n_s_calcCubicArcLengthC, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__20)); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 104, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_CyFunction_SetDefaultsTuple(__pyx_t_2, __pyx_t_3);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_calcCubicArcLengthC, __pyx_t_2) < 0) __PYX_ERR(0, 104, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":129
 * 
 * 
 * epsilonDigits = 6             # <<<<<<<<<<<<<<
 * epsilon = 1e-10
 * 
 */
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_epsilonDigits, __pyx_int_6) < 0) __PYX_ERR(0, 129, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":130
 * 
 * epsilonDigits = 6
 * epsilon = 1e-10             # <<<<<<<<<<<<<<
 * 
 * 
 */
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_epsilon, __pyx_float_1eneg_10) < 0) __PYX_ERR(0, 130, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":151
 * 
 * 
 * def calcQuadraticArcLength(pt1, pt2, pt3):             # <<<<<<<<<<<<<<
 *     """Calculates the arc length for a quadratic Bezier segment.
 * 
 */
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_9calcQuadraticArcLength, 0, __pyx_n_s_calcQuadraticArcLength, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__22)); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 151, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_calcQuadraticArcLength, __pyx_t_2) < 0) __PYX_ERR(0, 151, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":186
 * 
 * 
 * @cython.returns(cython.double)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     pt1=cython.complex,
 */
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_11calcQuadraticArcLengthC, 0, __pyx_n_s_calcQuadraticArcLengthC, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__24)); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 186, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_calcQuadraticArcLengthC, __pyx_t_2) < 0) __PYX_ERR(0, 186, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":237
 * 
 * 
 * def approximateQuadraticArcLength(pt1, pt2, pt3):             # <<<<<<<<<<<<<<
 *     """Calculates the arc length for a quadratic Bezier segment.
 * 
 */
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_13approximateQuadraticArcLength, 0, __pyx_n_s_approximateQuadraticArcLength, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__25)); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 237, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_approximateQuadraticArcLength, __pyx_t_2) < 0) __PYX_ERR(0, 237, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":254
 * 
 * 
 * @cython.returns(cython.double)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     pt1=cython.complex,
 */
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_15approximateQuadraticArcLengthC, 0, __pyx_n_s_approximateQuadraticArcLengthC, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__27)); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 254, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_approximateQuadraticArcLengthC, __pyx_t_2) < 0) __PYX_ERR(0, 254, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":298
 * 
 * 
 * def calcQuadraticBounds(pt1, pt2, pt3):             # <<<<<<<<<<<<<<
 *     """Calculates the bounding rectangle for a quadratic Bezier segment.
 * 
 */
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_17calcQuadraticBounds, 0, __pyx_n_s_calcQuadraticBounds, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__29)); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 298, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_calcQuadraticBounds, __pyx_t_2) < 0) __PYX_ERR(0, 298, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":332
 * 
 * 
 * def approximateCubicArcLength(pt1, pt2, pt3, pt4):             # <<<<<<<<<<<<<<
 *     """Approximates the arc length for a cubic Bezier segment.
 * 
 */
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_19approximateCubicArcLength, 0, __pyx_n_s_approximateCubicArcLength, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__31)); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 332, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_approximateCubicArcLength, __pyx_t_2) < 0) __PYX_ERR(0, 332, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":362
 * 
 * 
 * @cython.returns(cython.double)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     pt1=cython.complex,
 */
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_21approximateCubicArcLengthC, 0, __pyx_n_s_approximateCubicArcLengthC, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__33)); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 362, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_approximateCubicArcLengthC, __pyx_t_2) < 0) __PYX_ERR(0, 362, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":412
 * 
 * 
 * def calcCubicBounds(pt1, pt2, pt3, pt4):             # <<<<<<<<<<<<<<
 *     """Calculates the bounding rectangle for a quadratic Bezier segment.
 * 
 */
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_23calcCubicBounds, 0, __pyx_n_s_calcCubicBounds, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__35)); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 412, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_calcCubicBounds, __pyx_t_2) < 0) __PYX_ERR(0, 412, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":450
 * 
 * 
 * def splitLine(pt1, pt2, where, isHorizontal):             # <<<<<<<<<<<<<<
 *     """Split a line at a given coordinate.
 * 
 */
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_25splitLine, 0, __pyx_n_s_splitLine, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__37)); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 450, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_splitLine, __pyx_t_2) < 0) __PYX_ERR(0, 450, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":507
 * 
 * 
 * def splitQuadratic(pt1, pt2, pt3, where, isHorizontal):             # <<<<<<<<<<<<<<
 *     """Split a quadratic Bezier curve at a given coordinate.
 * 
 */
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_27splitQuadratic, 0, __pyx_n_s_splitQuadratic, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__39)); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 507, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_splitQuadratic, __pyx_t_2) < 0) __PYX_ERR(0, 507, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":552
 * 
 * 
 * def splitCubic(pt1, pt2, pt3, pt4, where, isHorizontal):             # <<<<<<<<<<<<<<
 *     """Split a cubic Bezier curve at a given coordinate.
 * 
 */
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_29splitCubic, 0, __pyx_n_s_splitCubic, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__41)); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 552, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_splitCubic, __pyx_t_2) < 0) __PYX_ERR(0, 552, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":589
 * 
 * 
 * def splitQuadraticAtT(pt1, pt2, pt3, *ts):             # <<<<<<<<<<<<<<
 *     """Split a quadratic Bezier curve at one or more values of t.
 * 
 */
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_31splitQuadraticAtT, 0, __pyx_n_s_splitQuadraticAtT_2, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__43)); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 589, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_splitQuadraticAtT_2, __pyx_t_2) < 0) __PYX_ERR(0, 589, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":613
 * 
 * 
 * def splitCubicAtT(pt1, pt2, pt3, pt4, *ts):             # <<<<<<<<<<<<<<
 *     """Split a cubic Bezier curve at one or more values of t.
 * 
 */
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_33splitCubicAtT, 0, __pyx_n_s_splitCubicAtT_2, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__45)); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 613, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_splitCubicAtT_2, __pyx_t_2) < 0) __PYX_ERR(0, 613, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":637
 * 
 * 
 * @cython.locals(             # <<<<<<<<<<<<<<
 *     pt1=cython.complex,
 *     pt2=cython.complex,
 */
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_35splitCubicAtTC, 0, __pyx_n_s_splitCubicAtTC, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj_)); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 637, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_splitCubicAtTC, __pyx_t_2) < 0) __PYX_ERR(0, 637, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":661
 * 
 * 
 * @cython.returns(cython.complex)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     t=cython.double,
 */
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_38splitCubicIntoTwoAtTC, 0, __pyx_n_s_splitCubicIntoTwoAtTC, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__47)); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 661, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_splitCubicIntoTwoAtTC, __pyx_t_2) < 0) __PYX_ERR(0, 661, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":701
 * 
 * 
 * def _splitQuadraticAtT(a, b, c, *ts):             # <<<<<<<<<<<<<<
 *     ts = list(ts)
 *     segments = []
 */
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_40_splitQuadraticAtT, 0, __pyx_n_s_splitQuadraticAtT, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__49)); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 701, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_splitQuadraticAtT, __pyx_t_2) < 0) __PYX_ERR(0, 701, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":728
 * 
 * 
 * def _splitCubicAtT(a, b, c, d, *ts):             # <<<<<<<<<<<<<<
 *     ts = list(ts)
 *     ts.insert(0, 0.0)
 */
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_42_splitCubicAtT, 0, __pyx_n_s_splitCubicAtT, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__51)); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 728, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_splitCubicAtT, __pyx_t_2) < 0) __PYX_ERR(0, 728, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":763
 * 
 * 
 * @cython.locals(             # <<<<<<<<<<<<<<
 *     a=cython.complex,
 *     b=cython.complex,
 */
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_44_splitCubicAtTC, 0, __pyx_n_s_splitCubicAtTC_2, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__3)); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 763, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_splitCubicAtTC_2, __pyx_t_2) < 0) __PYX_ERR(0, 763, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":805
 * #
 * 
 * from math import sqrt, acos, cos, pi             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_t_2 = PyList_New(4); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 805, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_INCREF(__pyx_n_s_sqrt);
  __Pyx_GIVEREF(__pyx_n_s_sqrt);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 0, __pyx_n_s_sqrt)) __PYX_ERR(0, 805, __pyx_L1_error);
  __Pyx_INCREF(__pyx_n_s_acos);
  __Pyx_GIVEREF(__pyx_n_s_acos);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 1, __pyx_n_s_acos)) __PYX_ERR(0, 805, __pyx_L1_error);
  __Pyx_INCREF(__pyx_n_s_cos);
  __Pyx_GIVEREF(__pyx_n_s_cos);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 2, __pyx_n_s_cos)) __PYX_ERR(0, 805, __pyx_L1_error);
  __Pyx_INCREF(__pyx_n_s_pi);
  __Pyx_GIVEREF(__pyx_n_s_pi);
  if (__Pyx_PyList_SET_ITEM(__pyx_t_2, 3, __pyx_n_s_pi)) __PYX_ERR(0, 805, __pyx_L1_error);
  __pyx_t_3 = __Pyx_Import(__pyx_n_s_math, __pyx_t_2, 0); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 805, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = __Pyx_ImportFrom(__pyx_t_3, __pyx_n_s_sqrt); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 805, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_sqrt, __pyx_t_2) < 0) __PYX_ERR(0, 805, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = __Pyx_ImportFrom(__pyx_t_3, __pyx_n_s_acos); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 805, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_acos, __pyx_t_2) < 0) __PYX_ERR(0, 805, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = __Pyx_ImportFrom(__pyx_t_3, __pyx_n_s_cos); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 805, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_cos, __pyx_t_2) < 0) __PYX_ERR(0, 805, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = __Pyx_ImportFrom(__pyx_t_3, __pyx_n_s_pi); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 805, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_pi, __pyx_t_2) < 0) __PYX_ERR(0, 805, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":808
 * 
 * 
 * def solveQuadratic(a, b, c, sqrt=sqrt):             # <<<<<<<<<<<<<<
 *     """Solve a quadratic equation.
 * 
 */
  __pyx_t_3 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_47solveQuadratic, 0, __pyx_n_s_solveQuadratic, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__54)); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 808, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  if (!__Pyx_CyFunction_InitDefaults(__pyx_t_3, sizeof(__pyx_defaults), 1)) __PYX_ERR(0, 808, __pyx_L1_error)
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_sqrt); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 808, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_CyFunction_Defaults(__pyx_defaults, __pyx_t_3)->__pyx_arg_sqrt = __pyx_t_2;
  __Pyx_GIVEREF(__pyx_t_2);
  __pyx_t_2 = 0;
  __Pyx_CyFunction_SetDefaultsGetter(__pyx_t_3, __pyx_pf_9fontTools_4misc_11bezierTools_96__defaults__);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_solveQuadratic, __pyx_t_3) < 0) __PYX_ERR(0, 808, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":841
 * 
 * 
 * def solveCubic(a, b, c, d):             # <<<<<<<<<<<<<<
 *     """Solve a cubic equation.
 * 
 */
  __pyx_t_3 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_49solveCubic, 0, __pyx_n_s_solveCubic, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__56)); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 841, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_solveCubic, __pyx_t_3) < 0) __PYX_ERR(0, 841, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":938
 * 
 * 
 * def calcQuadraticParameters(pt1, pt2, pt3):             # <<<<<<<<<<<<<<
 *     x2, y2 = pt2
 *     x3, y3 = pt3
 */
  __pyx_t_3 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_51calcQuadraticParameters, 0, __pyx_n_s_calcQuadraticParameters, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__58)); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 938, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_calcQuadraticParameters, __pyx_t_3) < 0) __PYX_ERR(0, 938, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":949
 * 
 * 
 * def calcCubicParameters(pt1, pt2, pt3, pt4):             # <<<<<<<<<<<<<<
 *     x2, y2 = pt2
 *     x3, y3 = pt3
 */
  __pyx_t_3 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_53calcCubicParameters, 0, __pyx_n_s_calcCubicParameters, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__60)); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 949, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_calcCubicParameters, __pyx_t_3) < 0) __PYX_ERR(0, 949, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":981
 * 
 * 
 * def calcQuadraticPoints(a, b, c):             # <<<<<<<<<<<<<<
 *     ax, ay = a
 *     bx, by = b
 */
  __pyx_t_3 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_55calcQuadraticPoints, 0, __pyx_n_s_calcQuadraticPoints, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__62)); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 981, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_calcQuadraticPoints, __pyx_t_3) < 0) __PYX_ERR(0, 981, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":994
 * 
 * 
 * def calcCubicPoints(a, b, c, d):             # <<<<<<<<<<<<<<
 *     ax, ay = a
 *     bx, by = b
 */
  __pyx_t_3 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_57calcCubicPoints, 0, __pyx_n_s_calcCubicPoints, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__64)); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 994, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_calcCubicPoints, __pyx_t_3) < 0) __PYX_ERR(0, 994, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1033
 * 
 * 
 * def linePointAtT(pt1, pt2, t):             # <<<<<<<<<<<<<<
 *     """Finds the point at time `t` on a line.
 * 
 */
  __pyx_t_3 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_59linePointAtT, 0, __pyx_n_s_linePointAtT, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__66)); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1033, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_linePointAtT, __pyx_t_3) < 0) __PYX_ERR(0, 1033, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1046
 * 
 * 
 * def quadraticPointAtT(pt1, pt2, pt3, t):             # <<<<<<<<<<<<<<
 *     """Finds the point at time `t` on a quadratic curve.
 * 
 */
  __pyx_t_3 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_61quadraticPointAtT, 0, __pyx_n_s_quadraticPointAtT, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__68)); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1046, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_quadraticPointAtT, __pyx_t_3) < 0) __PYX_ERR(0, 1046, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1061
 * 
 * 
 * def cubicPointAtT(pt1, pt2, pt3, pt4, t):             # <<<<<<<<<<<<<<
 *     """Finds the point at time `t` on a cubic curve.
 * 
 */
  __pyx_t_3 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_63cubicPointAtT, 0, __pyx_n_s_cubicPointAtT, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__70)); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1061, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_cubicPointAtT, __pyx_t_3) < 0) __PYX_ERR(0, 1061, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1087
 * 
 * 
 * @cython.returns(cython.complex)             # <<<<<<<<<<<<<<
 * @cython.locals(
 *     t=cython.double,
 */
  __pyx_t_3 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_65cubicPointAtTC, 0, __pyx_n_s_cubicPointAtTC, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__72)); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1087, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_cubicPointAtTC, __pyx_t_3) < 0) __PYX_ERR(0, 1087, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1112
 * 
 * 
 * def segmentPointAtT(seg, t):             # <<<<<<<<<<<<<<
 *     if len(seg) == 2:
 *         return linePointAtT(*seg, t)
 */
  __pyx_t_3 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_67segmentPointAtT, 0, __pyx_n_s_segmentPointAtT, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__74)); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1112, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_segmentPointAtT, __pyx_t_3) < 0) __PYX_ERR(0, 1112, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1127
 * 
 * 
 * def _line_t_of_pt(s, e, pt):             # <<<<<<<<<<<<<<
 *     sx, sy = s
 *     ex, ey = e
 */
  __pyx_t_3 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_69_line_t_of_pt, 0, __pyx_n_s_line_t_of_pt, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__76)); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1127, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_line_t_of_pt, __pyx_t_3) < 0) __PYX_ERR(0, 1127, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1141
 * 
 * 
 * def _both_points_are_on_same_side_of_origin(a, b, origin):             # <<<<<<<<<<<<<<
 *     xDiff = (a[0] - origin[0]) * (b[0] - origin[0])
 *     yDiff = (a[1] - origin[1]) * (b[1] - origin[1])
 */
  __pyx_t_3 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_71_both_points_are_on_same_side_of_origin, 0, __pyx_n_s_both_points_are_on_same_side_of, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__78)); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1141, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_both_points_are_on_same_side_of, __pyx_t_3) < 0) __PYX_ERR(0, 1141, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1147
 * 
 * 
 * def lineLineIntersections(s1, e1, s2, e2):             # <<<<<<<<<<<<<<
 *     """Finds intersections between two line segments.
 * 
 */
  __pyx_t_3 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_73lineLineIntersections, 0, __pyx_n_s_lineLineIntersections, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__80)); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1147, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_lineLineIntersections, __pyx_t_3) < 0) __PYX_ERR(0, 1147, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1225
 * 
 * 
 * def _alignment_transformation(segment):             # <<<<<<<<<<<<<<
 *     # Returns a transformation which aligns a segment horizontally at the
 *     # origin. Apply this transformation to curves and root-find to find
 */
  __pyx_t_3 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_75_alignment_transformation, 0, __pyx_n_s_alignment_transformation, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__82)); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1225, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_alignment_transformation, __pyx_t_3) < 0) __PYX_ERR(0, 1225, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1235
 * 
 * 
 * def _curve_line_intersections_t(curve, line):             # <<<<<<<<<<<<<<
 *     aligned_curve = _alignment_transformation(line).transformPoints(curve)
 *     if len(curve) == 3:
 */
  __pyx_t_3 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_77_curve_line_intersections_t, 0, __pyx_n_s_curve_line_intersections_t, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__84)); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1235, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_curve_line_intersections_t, __pyx_t_3) < 0) __PYX_ERR(0, 1235, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1248
 * 
 * 
 * def curveLineIntersections(curve, line):             # <<<<<<<<<<<<<<
 *     """Finds intersections between a curve and a line.
 * 
 */
  __pyx_t_3 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_79curveLineIntersections, 0, __pyx_n_s_curveLineIntersections, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__86)); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1248, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_curveLineIntersections, __pyx_t_3) < 0) __PYX_ERR(0, 1248, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1286
 * 
 * 
 * def _curve_bounds(c):             # <<<<<<<<<<<<<<
 *     if len(c) == 3:
 *         return calcQuadraticBounds(*c)
 */
  __pyx_t_3 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_81_curve_bounds, 0, __pyx_n_s_curve_bounds, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__88)); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1286, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_curve_bounds, __pyx_t_3) < 0) __PYX_ERR(0, 1286, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1294
 * 
 * 
 * def _split_segment_at_t(c, t):             # <<<<<<<<<<<<<<
 *     if len(c) == 2:
 *         s, e = c
 */
  __pyx_t_3 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_83_split_segment_at_t, 0, __pyx_n_s_split_segment_at_t, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__90)); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1294, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_split_segment_at_t, __pyx_t_3) < 0) __PYX_ERR(0, 1294, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1306
 * 
 * 
 * def _curve_curve_intersections_t(             # <<<<<<<<<<<<<<
 *     curve1, curve2, precision=1e-3, range1=None, range2=None
 * ):
 */
  __pyx_t_3 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_85_curve_curve_intersections_t, 0, __pyx_n_s_curve_curve_intersections_t, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__93)); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1306, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_CyFunction_SetDefaultsTuple(__pyx_t_3, __pyx_tuple__94);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_curve_curve_intersections_t, __pyx_t_3) < 0) __PYX_ERR(0, 1306, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1373
 * 
 * 
 * def _is_linelike(segment):             # <<<<<<<<<<<<<<
 *     maybeline = _alignment_transformation(segment).transformPoints(segment)
 *     return all(math.isclose(p[1], 0.0) for p in maybeline)
 */
  __pyx_t_3 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_87_is_linelike, 0, __pyx_n_s_is_linelike, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__96)); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1373, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_is_linelike, __pyx_t_3) < 0) __PYX_ERR(0, 1373, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1378
 * 
 * 
 * def curveCurveIntersections(curve1, curve2):             # <<<<<<<<<<<<<<
 *     """Finds intersections between a curve and a curve.
 * 
 */
  __pyx_t_3 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_89curveCurveIntersections, 0, __pyx_n_s_curveCurveIntersections, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__98)); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1378, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_curveCurveIntersections, __pyx_t_3) < 0) __PYX_ERR(0, 1378, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1417
 * 
 * 
 * def segmentSegmentIntersections(seg1, seg2):             # <<<<<<<<<<<<<<
 *     """Finds intersections between two segments.
 * 
 */
  __pyx_t_3 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_91segmentSegmentIntersections, 0, __pyx_n_s_segmentSegmentIntersections, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__100)); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1417, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_segmentSegmentIntersections, __pyx_t_3) < 0) __PYX_ERR(0, 1417, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1465
 * 
 * 
 * def _segmentrepr(obj):             # <<<<<<<<<<<<<<
 *     """
 *     >>> _segmentrepr([1, [2, 3], [], [[2, [3, 4], [0.1, 2.2]]]])
 */
  __pyx_t_3 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_93_segmentrepr, 0, __pyx_n_s_segmentrepr, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__102)); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1465, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_segmentrepr, __pyx_t_3) < 0) __PYX_ERR(0, 1465, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1478
 * 
 * 
 * def printSegments(segments):             # <<<<<<<<<<<<<<
 *     """Helper for the doctests, displaying each segment in a list of
 *     segments on a single line as a tuple.
 */
  __pyx_t_3 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_95printSegments, 0, __pyx_n_s_printSegments, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__104)); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1478, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_printSegments, __pyx_t_3) < 0) __PYX_ERR(0, 1478, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1486
 * 
 * 
 * if __name__ == "__main__":             # <<<<<<<<<<<<<<
 *     import sys
 *     import doctest
 */
  __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_name); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1486, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_10 = (__Pyx_PyUnicode_Equals(__pyx_t_3, __pyx_n_u_main, Py_EQ)); if (unlikely((__pyx_t_10 < 0))) __PYX_ERR(0, 1486, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  if (__pyx_t_10) {

    /* "fontTools/misc/bezierTools.py":1487
 * 
 * if __name__ == "__main__":
 *     import sys             # <<<<<<<<<<<<<<
 *     import doctest
 * 
 */
    __pyx_t_3 = __Pyx_ImportDottedModule(__pyx_n_s_sys, NULL); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1487, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    if (PyDict_SetItem(__pyx_d, __pyx_n_s_sys, __pyx_t_3) < 0) __PYX_ERR(0, 1487, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

    /* "fontTools/misc/bezierTools.py":1488
 * if __name__ == "__main__":
 *     import sys
 *     import doctest             # <<<<<<<<<<<<<<
 * 
 *     sys.exit(doctest.testmod().failed)
 */
    __pyx_t_3 = __Pyx_ImportDottedModule(__pyx_n_s_doctest, NULL); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1488, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    if (PyDict_SetItem(__pyx_d, __pyx_n_s_doctest, __pyx_t_3) < 0) __PYX_ERR(0, 1488, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

    /* "fontTools/misc/bezierTools.py":1490
 *     import doctest
 * 
 *     sys.exit(doctest.testmod().failed)             # <<<<<<<<<<<<<<
 */
    __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_sys); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1490, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_2 = __Pyx_PyObject_GetAttrStr(__pyx_t_3, __pyx_n_s_exit); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1490, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_doctest); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1490, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_7 = __Pyx_PyObject_GetAttrStr(__pyx_t_3, __pyx_n_s_testmod); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1490, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_3 = __Pyx_PyObject_CallNoArg(__pyx_t_7); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1490, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    __pyx_t_7 = __Pyx_PyObject_GetAttrStr(__pyx_t_3, __pyx_n_s_failed); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1490, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_3 = __Pyx_PyObject_CallOneArg(__pyx_t_2, __pyx_t_7); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1490, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

    /* "fontTools/misc/bezierTools.py":1486
 * 
 * 
 * if __name__ == "__main__":             # <<<<<<<<<<<<<<
 *     import sys
 *     import doctest
 */
  }

  /* "fontTools/misc/bezierTools.py":1
 * # -*- coding: utf-8 -*-             # <<<<<<<<<<<<<<
 * """fontTools.misc.bezierTools.py -- tools for working with Bezier path segments.
 * """
 */
  __pyx_t_3 = __Pyx_PyDict_NewPresized(15); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  if (PyDict_SetItem(__pyx_t_3, __pyx_kp_u_calcQuadraticArcLength_line_151, __pyx_kp_u_Calculates_the_arc_length_for_a) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
  if (PyDict_SetItem(__pyx_t_3, __pyx_kp_u_calcQuadraticBounds_line_298, __pyx_kp_u_Calculates_the_bounding_rectangl) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
  if (PyDict_SetItem(__pyx_t_3, __pyx_kp_u_approximateCubicArcLength_line_3, __pyx_kp_u_Approximates_the_arc_length_for) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
  if (PyDict_SetItem(__pyx_t_3, __pyx_kp_u_calcCubicBounds_line_412, __pyx_kp_u_Calculates_the_bounding_rectangl_2) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
  if (PyDict_SetItem(__pyx_t_3, __pyx_kp_u_splitLine_line_450, __pyx_kp_u_Split_a_line_at_a_given_coordina) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
  if (PyDict_SetItem(__pyx_t_3, __pyx_kp_u_splitQuadratic_line_507, __pyx_kp_u_Split_a_quadratic_Bezier_curve_a) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
  if (PyDict_SetItem(__pyx_t_3, __pyx_kp_u_splitCubic_line_552, __pyx_kp_u_Split_a_cubic_Bezier_curve_at_a) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
  if (PyDict_SetItem(__pyx_t_3, __pyx_kp_u_splitQuadraticAtT_line_589, __pyx_kp_u_Split_a_quadratic_Bezier_curve_a_2) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
  if (PyDict_SetItem(__pyx_t_3, __pyx_kp_u_splitCubicAtT_line_613, __pyx_kp_u_Split_a_cubic_Bezier_curve_at_on) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
  if (PyDict_SetItem(__pyx_t_3, __pyx_kp_u_solveCubic_line_841, __pyx_kp_u_Solve_a_cubic_equation_Solves_a) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
  if (PyDict_SetItem(__pyx_t_3, __pyx_kp_u_lineLineIntersections_line_1147, __pyx_kp_u_Finds_intersections_between_two) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
  if (PyDict_SetItem(__pyx_t_3, __pyx_kp_u_curveLineIntersections_line_1248, __pyx_kp_u_Finds_intersections_between_a_cu) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
  if (PyDict_SetItem(__pyx_t_3, __pyx_kp_u_curveCurveIntersections_line_137, __pyx_kp_u_Finds_intersections_between_a_cu_2) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
  if (PyDict_SetItem(__pyx_t_3, __pyx_kp_u_segmentSegmentIntersections_line, __pyx_kp_u_Finds_intersections_between_two_2) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
  if (PyDict_SetItem(__pyx_t_3, __pyx_kp_u_segmentrepr_line_1465, __pyx_kp_u_segmentrepr_1_2_3_2_3_4_0_1_2) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_test, __pyx_t_3) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

  /*--- Wrapped vars code ---*/

  goto __pyx_L0;
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_7);
  __Pyx_XDECREF(__pyx_t_8);
  __Pyx_XDECREF(__pyx_t_9);
  if (__pyx_m) {
    if (__pyx_d && stringtab_initialized) {
      __Pyx_AddTraceback("init fontTools.misc.bezierTools", __pyx_clineno, __pyx_lineno, __pyx_filename);
    }
    #if !CYTHON_USE_MODULE_STATE
    Py_CLEAR(__pyx_m);
    #else
    Py_DECREF(__pyx_m);
    if (pystate_addmodule_run) {
      PyObject *tp, *value, *tb;
      PyErr_Fetch(&tp, &value, &tb);
      PyState_RemoveModule(&__pyx_moduledef);
      PyErr_Restore(tp, value, tb);
    }
    #endif
  } else if (!PyErr_Occurred()) {
    PyErr_SetString(PyExc_ImportError, "init fontTools.misc.bezierTools");
  }
  __pyx_L0:;
  __Pyx_RefNannyFinishContext();
  #if CYTHON_PEP489_MULTI_PHASE_INIT
  return (__pyx_m != NULL) ? 0 : -1;
  #elif PY_MAJOR_VERSION >= 3
  return __pyx_m;
  #else
  return;
  #endif
}
/* #### Code section: cleanup_globals ### */
/* #### Code section: cleanup_module ### */
/* #### Code section: main_method ### */
/* #### Code section: utility_code_pragmas ### */
#ifdef _MSC_VER
#pragma warning( push )
/* Warning 4127: conditional expression is constant
 * Cython uses constant conditional expressions to allow in inline functions to be optimized at
 * compile-time, so this warning is not useful
 */
#pragma warning( disable : 4127 )
#endif



/* #### Code section: utility_code_def ### */

/* --- Runtime support code --- */
/* Refnanny */
#if CYTHON_REFNANNY
static __Pyx_RefNannyAPIStruct *__Pyx_RefNannyImportAPI(const char *modname) {
    PyObject *m = NULL, *p = NULL;
    void *r = NULL;
    m = PyImport_ImportModule(modname);
    if (!m) goto end;
    p = PyObject_GetAttrString(m, "RefNannyAPI");
    if (!p) goto end;
    r = PyLong_AsVoidPtr(p);
end:
    Py_XDECREF(p);
    Py_XDECREF(m);
    return (__Pyx_RefNannyAPIStruct *)r;
}
#endif

/* PyErrExceptionMatches */
#if CYTHON_FAST_THREAD_STATE
static int __Pyx_PyErr_ExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
    Py_ssize_t i, n;
    n = PyTuple_GET_SIZE(tuple);
#if PY_MAJOR_VERSION >= 3
    for (i=0; i<n; i++) {
        if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
    }
#endif
    for (i=0; i<n; i++) {
        if (__Pyx_PyErr_GivenExceptionMatches(exc_type, PyTuple_GET_ITEM(tuple, i))) return 1;
    }
    return 0;
}
static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err) {
    int result;
    PyObject *exc_type;
#if PY_VERSION_HEX >= 0x030C00A6
    PyObject *current_exception = tstate->current_exception;
    if (unlikely(!current_exception)) return 0;
    exc_type = (PyObject*) Py_TYPE(current_exception);
    if (exc_type == err) return 1;
#else
    exc_type = tstate->curexc_type;
    if (exc_type == err) return 1;
    if (unlikely(!exc_type)) return 0;
#endif
    #if CYTHON_AVOID_BORROWED_REFS
    Py_INCREF(exc_type);
    #endif
    if (unlikely(PyTuple_Check(err))) {
        result = __Pyx_PyErr_ExceptionMatchesTuple(exc_type, err);
    } else {
        result = __Pyx_PyErr_GivenExceptionMatches(exc_type, err);
    }
    #if CYTHON_AVOID_BORROWED_REFS
    Py_DECREF(exc_type);
    #endif
    return result;
}
#endif

/* PyErrFetchRestore */
#if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
#if PY_VERSION_HEX >= 0x030C00A6
    PyObject *tmp_value;
    assert(type == NULL || (value != NULL && type == (PyObject*) Py_TYPE(value)));
    if (value) {
        #if CYTHON_COMPILING_IN_CPYTHON
        if (unlikely(((PyBaseExceptionObject*) value)->traceback != tb))
        #endif
            PyException_SetTraceback(value, tb);
    }
    tmp_value = tstate->current_exception;
    tstate->current_exception = value;
    Py_XDECREF(tmp_value);
    Py_XDECREF(type);
    Py_XDECREF(tb);
#else
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    tmp_type = tstate->curexc_type;
    tmp_value = tstate->curexc_value;
    tmp_tb = tstate->curexc_traceback;
    tstate->curexc_type = type;
    tstate->curexc_value = value;
    tstate->curexc_traceback = tb;
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
#endif
}
static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
#if PY_VERSION_HEX >= 0x030C00A6
    PyObject* exc_value;
    exc_value = tstate->current_exception;
    tstate->current_exception = 0;
    *value = exc_value;
    *type = NULL;
    *tb = NULL;
    if (exc_value) {
        *type = (PyObject*) Py_TYPE(exc_value);
        Py_INCREF(*type);
        #if CYTHON_COMPILING_IN_CPYTHON
        *tb = ((PyBaseExceptionObject*) exc_value)->traceback;
        Py_XINCREF(*tb);
        #else
        *tb = PyException_GetTraceback(exc_value);
        #endif
    }
#else
    *type = tstate->curexc_type;
    *value = tstate->curexc_value;
    *tb = tstate->curexc_traceback;
    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
#endif
}
#endif

/* PyObjectGetAttrStr */
#if CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject* obj, PyObject* attr_name) {
    PyTypeObject* tp = Py_TYPE(obj);
    if (likely(tp->tp_getattro))
        return tp->tp_getattro(obj, attr_name);
#if PY_MAJOR_VERSION < 3
    if (likely(tp->tp_getattr))
        return tp->tp_getattr(obj, PyString_AS_STRING(attr_name));
#endif
    return PyObject_GetAttr(obj, attr_name);
}
#endif

/* PyObjectGetAttrStrNoError */
#if __PYX_LIMITED_VERSION_HEX < 0x030d00A1
static void __Pyx_PyObject_GetAttrStr_ClearAttributeError(void) {
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    if (likely(__Pyx_PyErr_ExceptionMatches(PyExc_AttributeError)))
        __Pyx_PyErr_Clear();
}
#endif
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStrNoError(PyObject* obj, PyObject* attr_name) {
    PyObject *result;
#if __PYX_LIMITED_VERSION_HEX >= 0x030d00A1
    (void) PyObject_GetOptionalAttr(obj, attr_name, &result);
    return result;
#else
#if CYTHON_COMPILING_IN_CPYTHON && CYTHON_USE_TYPE_SLOTS && PY_VERSION_HEX >= 0x030700B1
    PyTypeObject* tp = Py_TYPE(obj);
    if (likely(tp->tp_getattro == PyObject_GenericGetAttr)) {
        return _PyObject_GenericGetAttrWithDict(obj, attr_name, NULL, 1);
    }
#endif
    result = __Pyx_PyObject_GetAttrStr(obj, attr_name);
    if (unlikely(!result)) {
        __Pyx_PyObject_GetAttrStr_ClearAttributeError();
    }
    return result;
#endif
}

/* GetBuiltinName */
static PyObject *__Pyx_GetBuiltinName(PyObject *name) {
    PyObject* result = __Pyx_PyObject_GetAttrStrNoError(__pyx_b, name);
    if (unlikely(!result) && !PyErr_Occurred()) {
        PyErr_Format(PyExc_NameError,
#if PY_MAJOR_VERSION >= 3
            "name '%U' is not defined", name);
#else
            "name '%.200s' is not defined", PyString_AS_STRING(name));
#endif
    }
    return result;
}

/* TupleAndListFromArray */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE void __Pyx_copy_object_array(PyObject *const *CYTHON_RESTRICT src, PyObject** CYTHON_RESTRICT dest, Py_ssize_t length) {
    PyObject *v;
    Py_ssize_t i;
    for (i = 0; i < length; i++) {
        v = dest[i] = src[i];
        Py_INCREF(v);
    }
}
static CYTHON_INLINE PyObject *
__Pyx_PyTuple_FromArray(PyObject *const *src, Py_ssize_t n)
{
    PyObject *res;
    if (n <= 0) {
        Py_INCREF(__pyx_empty_tuple);
        return __pyx_empty_tuple;
    }
    res = PyTuple_New(n);
    if (unlikely(res == NULL)) return NULL;
    __Pyx_copy_object_array(src, ((PyTupleObject*)res)->ob_item, n);
    return res;
}
static CYTHON_INLINE PyObject *
__Pyx_PyList_FromArray(PyObject *const *src, Py_ssize_t n)
{
    PyObject *res;
    if (n <= 0) {
        return PyList_New(0);
    }
    res = PyList_New(n);
    if (unlikely(res == NULL)) return NULL;
    __Pyx_copy_object_array(src, ((PyListObject*)res)->ob_item, n);
    return res;
}
#endif

/* BytesEquals */
static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals) {
#if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API
    return PyObject_RichCompareBool(s1, s2, equals);
#else
    if (s1 == s2) {
        return (equals == Py_EQ);
    } else if (PyBytes_CheckExact(s1) & PyBytes_CheckExact(s2)) {
        const char *ps1, *ps2;
        Py_ssize_t length = PyBytes_GET_SIZE(s1);
        if (length != PyBytes_GET_SIZE(s2))
            return (equals == Py_NE);
        ps1 = PyBytes_AS_STRING(s1);
        ps2 = PyBytes_AS_STRING(s2);
        if (ps1[0] != ps2[0]) {
            return (equals == Py_NE);
        } else if (length == 1) {
            return (equals == Py_EQ);
        } else {
            int result;
#if CYTHON_USE_UNICODE_INTERNALS && (PY_VERSION_HEX < 0x030B0000)
            Py_hash_t hash1, hash2;
            hash1 = ((PyBytesObject*)s1)->ob_shash;
            hash2 = ((PyBytesObject*)s2)->ob_shash;
            if (hash1 != hash2 && hash1 != -1 && hash2 != -1) {
                return (equals == Py_NE);
            }
#endif
            result = memcmp(ps1, ps2, (size_t)length);
            return (equals == Py_EQ) ? (result == 0) : (result != 0);
        }
    } else if ((s1 == Py_None) & PyBytes_CheckExact(s2)) {
        return (equals == Py_NE);
    } else if ((s2 == Py_None) & PyBytes_CheckExact(s1)) {
        return (equals == Py_NE);
    } else {
        int result;
        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
        if (!py_result)
            return -1;
        result = __Pyx_PyObject_IsTrue(py_result);
        Py_DECREF(py_result);
        return result;
    }
#endif
}

/* UnicodeEquals */
static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals) {
#if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API
    return PyObject_RichCompareBool(s1, s2, equals);
#else
#if PY_MAJOR_VERSION < 3
    PyObject* owned_ref = NULL;
#endif
    int s1_is_unicode, s2_is_unicode;
    if (s1 == s2) {
        goto return_eq;
    }
    s1_is_unicode = PyUnicode_CheckExact(s1);
    s2_is_unicode = PyUnicode_CheckExact(s2);
#if PY_MAJOR_VERSION < 3
    if ((s1_is_unicode & (!s2_is_unicode)) && PyString_CheckExact(s2)) {
        owned_ref = PyUnicode_FromObject(s2);
        if (unlikely(!owned_ref))
            return -1;
        s2 = owned_ref;
        s2_is_unicode = 1;
    } else if ((s2_is_unicode & (!s1_is_unicode)) && PyString_CheckExact(s1)) {
        owned_ref = PyUnicode_FromObject(s1);
        if (unlikely(!owned_ref))
            return -1;
        s1 = owned_ref;
        s1_is_unicode = 1;
    } else if (((!s2_is_unicode) & (!s1_is_unicode))) {
        return __Pyx_PyBytes_Equals(s1, s2, equals);
    }
#endif
    if (s1_is_unicode & s2_is_unicode) {
        Py_ssize_t length;
        int kind;
        void *data1, *data2;
        if (unlikely(__Pyx_PyUnicode_READY(s1) < 0) || unlikely(__Pyx_PyUnicode_READY(s2) < 0))
            return -1;
        length = __Pyx_PyUnicode_GET_LENGTH(s1);
        if (length != __Pyx_PyUnicode_GET_LENGTH(s2)) {
            goto return_ne;
        }
#if CYTHON_USE_UNICODE_INTERNALS
        {
            Py_hash_t hash1, hash2;
        #if CYTHON_PEP393_ENABLED
            hash1 = ((PyASCIIObject*)s1)->hash;
            hash2 = ((PyASCIIObject*)s2)->hash;
        #else
            hash1 = ((PyUnicodeObject*)s1)->hash;
            hash2 = ((PyUnicodeObject*)s2)->hash;
        #endif
            if (hash1 != hash2 && hash1 != -1 && hash2 != -1) {
                goto return_ne;
            }
        }
#endif
        kind = __Pyx_PyUnicode_KIND(s1);
        if (kind != __Pyx_PyUnicode_KIND(s2)) {
            goto return_ne;
        }
        data1 = __Pyx_PyUnicode_DATA(s1);
        data2 = __Pyx_PyUnicode_DATA(s2);
        if (__Pyx_PyUnicode_READ(kind, data1, 0) != __Pyx_PyUnicode_READ(kind, data2, 0)) {
            goto return_ne;
        } else if (length == 1) {
            goto return_eq;
        } else {
            int result = memcmp(data1, data2, (size_t)(length * kind));
            #if PY_MAJOR_VERSION < 3
            Py_XDECREF(owned_ref);
            #endif
            return (equals == Py_EQ) ? (result == 0) : (result != 0);
        }
    } else if ((s1 == Py_None) & s2_is_unicode) {
        goto return_ne;
    } else if ((s2 == Py_None) & s1_is_unicode) {
        goto return_ne;
    } else {
        int result;
        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
        #if PY_MAJOR_VERSION < 3
        Py_XDECREF(owned_ref);
        #endif
        if (!py_result)
            return -1;
        result = __Pyx_PyObject_IsTrue(py_result);
        Py_DECREF(py_result);
        return result;
    }
return_eq:
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(owned_ref);
    #endif
    return (equals == Py_EQ);
return_ne:
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(owned_ref);
    #endif
    return (equals == Py_NE);
#endif
}

/* fastcall */
#if CYTHON_METH_FASTCALL
static CYTHON_INLINE PyObject * __Pyx_GetKwValue_FASTCALL(PyObject *kwnames, PyObject *const *kwvalues, PyObject *s)
{
    Py_ssize_t i, n = PyTuple_GET_SIZE(kwnames);
    for (i = 0; i < n; i++)
    {
        if (s == PyTuple_GET_ITEM(kwnames, i)) return kwvalues[i];
    }
    for (i = 0; i < n; i++)
    {
        int eq = __Pyx_PyUnicode_Equals(s, PyTuple_GET_ITEM(kwnames, i), Py_EQ);
        if (unlikely(eq != 0)) {
            if (unlikely(eq < 0)) return NULL;
            return kwvalues[i];
        }
    }
    return NULL;
}
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030d0000
CYTHON_UNUSED static PyObject *__Pyx_KwargsAsDict_FASTCALL(PyObject *kwnames, PyObject *const *kwvalues) {
    Py_ssize_t i, nkwargs = PyTuple_GET_SIZE(kwnames);
    PyObject *dict;
    dict = PyDict_New();
    if (unlikely(!dict))
        return NULL;
    for (i=0; i<nkwargs; i++) {
        PyObject *key = PyTuple_GET_ITEM(kwnames, i);
        if (unlikely(PyDict_SetItem(dict, key, kwvalues[i]) < 0))
            goto bad;
    }
    return dict;
bad:
    Py_DECREF(dict);
    return NULL;
}
#endif
#endif

/* RaiseArgTupleInvalid */
static void __Pyx_RaiseArgtupleInvalid(
    const char* func_name,
    int exact,
    Py_ssize_t num_min,
    Py_ssize_t num_max,
    Py_ssize_t num_found)
{
    Py_ssize_t num_expected;
    const char *more_or_less;
    if (num_found < num_min) {
        num_expected = num_min;
        more_or_less = "at least";
    } else {
        num_expected = num_max;
        more_or_less = "at most";
    }
    if (exact) {
        more_or_less = "exactly";
    }
    PyErr_Format(PyExc_TypeError,
                 "%.200s() takes %.8s %" CYTHON_FORMAT_SSIZE_T "d positional argument%.1s (%" CYTHON_FORMAT_SSIZE_T "d given)",
                 func_name, more_or_less, num_expected,
                 (num_expected == 1) ? "" : "s", num_found);
}

/* RaiseDoubleKeywords */
static void __Pyx_RaiseDoubleKeywordsError(
    const char* func_name,
    PyObject* kw_name)
{
    PyErr_Format(PyExc_TypeError,
        #if PY_MAJOR_VERSION >= 3
        "%s() got multiple values for keyword argument '%U'", func_name, kw_name);
        #else
        "%s() got multiple values for keyword argument '%s'", func_name,
        PyString_AsString(kw_name));
        #endif
}

/* ParseKeywords */
static int __Pyx_ParseOptionalKeywords(
    PyObject *kwds,
    PyObject *const *kwvalues,
    PyObject **argnames[],
    PyObject *kwds2,
    PyObject *values[],
    Py_ssize_t num_pos_args,
    const char* function_name)
{
    PyObject *key = 0, *value = 0;
    Py_ssize_t pos = 0;
    PyObject*** name;
    PyObject*** first_kw_arg = argnames + num_pos_args;
    int kwds_is_tuple = CYTHON_METH_FASTCALL && likely(PyTuple_Check(kwds));
    while (1) {
        Py_XDECREF(key); key = NULL;
        Py_XDECREF(value); value = NULL;
        if (kwds_is_tuple) {
            Py_ssize_t size;
#if CYTHON_ASSUME_SAFE_MACROS
            size = PyTuple_GET_SIZE(kwds);
#else
            size = PyTuple_Size(kwds);
            if (size < 0) goto bad;
#endif
            if (pos >= size) break;
#if CYTHON_AVOID_BORROWED_REFS
            key = __Pyx_PySequence_ITEM(kwds, pos);
            if (!key) goto bad;
#elif CYTHON_ASSUME_SAFE_MACROS
            key = PyTuple_GET_ITEM(kwds, pos);
#else
            key = PyTuple_GetItem(kwds, pos);
            if (!key) goto bad;
#endif
            value = kwvalues[pos];
            pos++;
        }
        else
        {
            if (!PyDict_Next(kwds, &pos, &key, &value)) break;
#if CYTHON_AVOID_BORROWED_REFS
            Py_INCREF(key);
#endif
        }
        name = first_kw_arg;
        while (*name && (**name != key)) name++;
        if (*name) {
            values[name-argnames] = value;
#if CYTHON_AVOID_BORROWED_REFS
            Py_INCREF(value);
            Py_DECREF(key);
#endif
            key = NULL;
            value = NULL;
            continue;
        }
#if !CYTHON_AVOID_BORROWED_REFS
        Py_INCREF(key);
#endif
        Py_INCREF(value);
        name = first_kw_arg;
        #if PY_MAJOR_VERSION < 3
        if (likely(PyString_Check(key))) {
            while (*name) {
                if ((CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**name) == PyString_GET_SIZE(key))
                        && _PyString_Eq(**name, key)) {
                    values[name-argnames] = value;
#if CYTHON_AVOID_BORROWED_REFS
                    value = NULL;
#endif
                    break;
                }
                name++;
            }
            if (*name) continue;
            else {
                PyObject*** argname = argnames;
                while (argname != first_kw_arg) {
                    if ((**argname == key) || (
                            (CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**argname) == PyString_GET_SIZE(key))
                             && _PyString_Eq(**argname, key))) {
                        goto arg_passed_twice;
                    }
                    argname++;
                }
            }
        } else
        #endif
        if (likely(PyUnicode_Check(key))) {
            while (*name) {
                int cmp = (
                #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
                    (__Pyx_PyUnicode_GET_LENGTH(**name) != __Pyx_PyUnicode_GET_LENGTH(key)) ? 1 :
                #endif
                    PyUnicode_Compare(**name, key)
                );
                if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
                if (cmp == 0) {
                    values[name-argnames] = value;
#if CYTHON_AVOID_BORROWED_REFS
                    value = NULL;
#endif
                    break;
                }
                name++;
            }
            if (*name) continue;
            else {
                PyObject*** argname = argnames;
                while (argname != first_kw_arg) {
                    int cmp = (**argname == key) ? 0 :
                    #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
                        (__Pyx_PyUnicode_GET_LENGTH(**argname) != __Pyx_PyUnicode_GET_LENGTH(key)) ? 1 :
                    #endif
                        PyUnicode_Compare(**argname, key);
                    if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
                    if (cmp == 0) goto arg_passed_twice;
                    argname++;
                }
            }
        } else
            goto invalid_keyword_type;
        if (kwds2) {
            if (unlikely(PyDict_SetItem(kwds2, key, value))) goto bad;
        } else {
            goto invalid_keyword;
        }
    }
    Py_XDECREF(key);
    Py_XDECREF(value);
    return 0;
arg_passed_twice:
    __Pyx_RaiseDoubleKeywordsError(function_name, key);
    goto bad;
invalid_keyword_type:
    PyErr_Format(PyExc_TypeError,
        "%.200s() keywords must be strings", function_name);
    goto bad;
invalid_keyword:
    #if PY_MAJOR_VERSION < 3
    PyErr_Format(PyExc_TypeError,
        "%.200s() got an unexpected keyword argument '%.200s'",
        function_name, PyString_AsString(key));
    #else
    PyErr_Format(PyExc_TypeError,
        "%s() got an unexpected keyword argument '%U'",
        function_name, key);
    #endif
bad:
    Py_XDECREF(key);
    Py_XDECREF(value);
    return -1;
}

/* PyDictVersioning */
#if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj) {
    PyObject *dict = Py_TYPE(obj)->tp_dict;
    return likely(dict) ? __PYX_GET_DICT_VERSION(dict) : 0;
}
static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj) {
    PyObject **dictptr = NULL;
    Py_ssize_t offset = Py_TYPE(obj)->tp_dictoffset;
    if (offset) {
#if CYTHON_COMPILING_IN_CPYTHON
        dictptr = (likely(offset > 0)) ? (PyObject **) ((char *)obj + offset) : _PyObject_GetDictPtr(obj);
#else
        dictptr = _PyObject_GetDictPtr(obj);
#endif
    }
    return (dictptr && *dictptr) ? __PYX_GET_DICT_VERSION(*dictptr) : 0;
}
static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version) {
    PyObject *dict = Py_TYPE(obj)->tp_dict;
    if (unlikely(!dict) || unlikely(tp_dict_version != __PYX_GET_DICT_VERSION(dict)))
        return 0;
    return obj_dict_version == __Pyx_get_object_dict_version(obj);
}
#endif

/* GetModuleGlobalName */
#if CYTHON_USE_DICT_VERSIONS
static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value)
#else
static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name)
#endif
{
    PyObject *result;
#if !CYTHON_AVOID_BORROWED_REFS
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1 && PY_VERSION_HEX < 0x030d0000
    result = _PyDict_GetItem_KnownHash(__pyx_d, name, ((PyASCIIObject *) name)->hash);
    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    } else if (unlikely(PyErr_Occurred())) {
        return NULL;
    }
#elif CYTHON_COMPILING_IN_LIMITED_API
    if (unlikely(!__pyx_m)) {
        return NULL;
    }
    result = PyObject_GetAttr(__pyx_m, name);
    if (likely(result)) {
        return result;
    }
#else
    result = PyDict_GetItem(__pyx_d, name);
    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    }
#endif
#else
    result = PyObject_GetItem(__pyx_d, name);
    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    }
    PyErr_Clear();
#endif
    return __Pyx_GetBuiltinName(name);
}

/* PyObjectCall */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    PyObject *result;
    ternaryfunc call = Py_TYPE(func)->tp_call;
    if (unlikely(!call))
        return PyObject_Call(func, arg, kw);
    #if PY_MAJOR_VERSION < 3
    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
        return NULL;
    #else
    if (unlikely(Py_EnterRecursiveCall(" while calling a Python object")))
        return NULL;
    #endif
    result = (*call)(func, arg, kw);
    Py_LeaveRecursiveCall();
    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
        PyErr_SetString(
            PyExc_SystemError,
            "NULL result without error in PyObject_Call");
    }
    return result;
}
#endif

/* PyFunctionFastCall */
#if CYTHON_FAST_PYCALL && !CYTHON_VECTORCALL
static PyObject* __Pyx_PyFunction_FastCallNoKw(PyCodeObject *co, PyObject **args, Py_ssize_t na,
                                               PyObject *globals) {
    PyFrameObject *f;
    PyThreadState *tstate = __Pyx_PyThreadState_Current;
    PyObject **fastlocals;
    Py_ssize_t i;
    PyObject *result;
    assert(globals != NULL);
    /* XXX Perhaps we should create a specialized
       PyFrame_New() that doesn't take locals, but does
       take builtins without sanity checking them.
       */
    assert(tstate != NULL);
    f = PyFrame_New(tstate, co, globals, NULL);
    if (f == NULL) {
        return NULL;
    }
    fastlocals = __Pyx_PyFrame_GetLocalsplus(f);
    for (i = 0; i < na; i++) {
        Py_INCREF(*args);
        fastlocals[i] = *args++;
    }
    result = PyEval_EvalFrameEx(f,0);
    ++tstate->recursion_depth;
    Py_DECREF(f);
    --tstate->recursion_depth;
    return result;
}
static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, Py_ssize_t nargs, PyObject *kwargs) {
    PyCodeObject *co = (PyCodeObject *)PyFunction_GET_CODE(func);
    PyObject *globals = PyFunction_GET_GLOBALS(func);
    PyObject *argdefs = PyFunction_GET_DEFAULTS(func);
    PyObject *closure;
#if PY_MAJOR_VERSION >= 3
    PyObject *kwdefs;
#endif
    PyObject *kwtuple, **k;
    PyObject **d;
    Py_ssize_t nd;
    Py_ssize_t nk;
    PyObject *result;
    assert(kwargs == NULL || PyDict_Check(kwargs));
    nk = kwargs ? PyDict_Size(kwargs) : 0;
    #if PY_MAJOR_VERSION < 3
    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object"))) {
        return NULL;
    }
    #else
    if (unlikely(Py_EnterRecursiveCall(" while calling a Python object"))) {
        return NULL;
    }
    #endif
    if (
#if PY_MAJOR_VERSION >= 3
            co->co_kwonlyargcount == 0 &&
#endif
            likely(kwargs == NULL || nk == 0) &&
            co->co_flags == (CO_OPTIMIZED | CO_NEWLOCALS | CO_NOFREE)) {
        if (argdefs == NULL && co->co_argcount == nargs) {
            result = __Pyx_PyFunction_FastCallNoKw(co, args, nargs, globals);
            goto done;
        }
        else if (nargs == 0 && argdefs != NULL
                 && co->co_argcount == Py_SIZE(argdefs)) {
            /* function called with no arguments, but all parameters have
               a default value: use default values as arguments .*/
            args = &PyTuple_GET_ITEM(argdefs, 0);
            result =__Pyx_PyFunction_FastCallNoKw(co, args, Py_SIZE(argdefs), globals);
            goto done;
        }
    }
    if (kwargs != NULL) {
        Py_ssize_t pos, i;
        kwtuple = PyTuple_New(2 * nk);
        if (kwtuple == NULL) {
            result = NULL;
            goto done;
        }
        k = &PyTuple_GET_ITEM(kwtuple, 0);
        pos = i = 0;
        while (PyDict_Next(kwargs, &pos, &k[i], &k[i+1])) {
            Py_INCREF(k[i]);
            Py_INCREF(k[i+1]);
            i += 2;
        }
        nk = i / 2;
    }
    else {
        kwtuple = NULL;
        k = NULL;
    }
    closure = PyFunction_GET_CLOSURE(func);
#if PY_MAJOR_VERSION >= 3
    kwdefs = PyFunction_GET_KW_DEFAULTS(func);
#endif
    if (argdefs != NULL) {
        d = &PyTuple_GET_ITEM(argdefs, 0);
        nd = Py_SIZE(argdefs);
    }
    else {
        d = NULL;
        nd = 0;
    }
#if PY_MAJOR_VERSION >= 3
    result = PyEval_EvalCodeEx((PyObject*)co, globals, (PyObject *)NULL,
                               args, (int)nargs,
                               k, (int)nk,
                               d, (int)nd, kwdefs, closure);
#else
    result = PyEval_EvalCodeEx(co, globals, (PyObject *)NULL,
                               args, (int)nargs,
                               k, (int)nk,
                               d, (int)nd, closure);
#endif
    Py_XDECREF(kwtuple);
done:
    Py_LeaveRecursiveCall();
    return result;
}
#endif

/* PyObjectCallMethO */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg) {
    PyObject *self, *result;
    PyCFunction cfunc;
    cfunc = __Pyx_CyOrPyCFunction_GET_FUNCTION(func);
    self = __Pyx_CyOrPyCFunction_GET_SELF(func);
    #if PY_MAJOR_VERSION < 3
    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
        return NULL;
    #else
    if (unlikely(Py_EnterRecursiveCall(" while calling a Python object")))
        return NULL;
    #endif
    result = cfunc(self, arg);
    Py_LeaveRecursiveCall();
    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
        PyErr_SetString(
            PyExc_SystemError,
            "NULL result without error in PyObject_Call");
    }
    return result;
}
#endif

/* PyObjectFastCall */
#if PY_VERSION_HEX < 0x03090000 || CYTHON_COMPILING_IN_LIMITED_API
static PyObject* __Pyx_PyObject_FastCall_fallback(PyObject *func, PyObject **args, size_t nargs, PyObject *kwargs) {
    PyObject *argstuple;
    PyObject *result = 0;
    size_t i;
    argstuple = PyTuple_New((Py_ssize_t)nargs);
    if (unlikely(!argstuple)) return NULL;
    for (i = 0; i < nargs; i++) {
        Py_INCREF(args[i]);
        if (__Pyx_PyTuple_SET_ITEM(argstuple, (Py_ssize_t)i, args[i]) < 0) goto bad;
    }
    result = __Pyx_PyObject_Call(func, argstuple, kwargs);
  bad:
    Py_DECREF(argstuple);
    return result;
}
#endif
static CYTHON_INLINE PyObject* __Pyx_PyObject_FastCallDict(PyObject *func, PyObject **args, size_t _nargs, PyObject *kwargs) {
    Py_ssize_t nargs = __Pyx_PyVectorcall_NARGS(_nargs);
#if CYTHON_COMPILING_IN_CPYTHON
    if (nargs == 0 && kwargs == NULL) {
        if (__Pyx_CyOrPyCFunction_Check(func) && likely( __Pyx_CyOrPyCFunction_GET_FLAGS(func) & METH_NOARGS))
            return __Pyx_PyObject_CallMethO(func, NULL);
    }
    else if (nargs == 1 && kwargs == NULL) {
        if (__Pyx_CyOrPyCFunction_Check(func) && likely( __Pyx_CyOrPyCFunction_GET_FLAGS(func) & METH_O))
            return __Pyx_PyObject_CallMethO(func, args[0]);
    }
#endif
    #if PY_VERSION_HEX < 0x030800B1
    #if CYTHON_FAST_PYCCALL
    if (PyCFunction_Check(func)) {
        if (kwargs) {
            return _PyCFunction_FastCallDict(func, args, nargs, kwargs);
        } else {
            return _PyCFunction_FastCallKeywords(func, args, nargs, NULL);
        }
    }
    #if PY_VERSION_HEX >= 0x030700A1
    if (!kwargs && __Pyx_IS_TYPE(func, &PyMethodDescr_Type)) {
        return _PyMethodDescr_FastCallKeywords(func, args, nargs, NULL);
    }
    #endif
    #endif
    #if CYTHON_FAST_PYCALL
    if (PyFunction_Check(func)) {
        return __Pyx_PyFunction_FastCallDict(func, args, nargs, kwargs);
    }
    #endif
    #endif
    if (kwargs == NULL) {
        #if CYTHON_VECTORCALL
        #if PY_VERSION_HEX < 0x03090000
        vectorcallfunc f = _PyVectorcall_Function(func);
        #else
        vectorcallfunc f = PyVectorcall_Function(func);
        #endif
        if (f) {
            return f(func, args, (size_t)nargs, NULL);
        }
        #elif defined(__Pyx_CyFunction_USED) && CYTHON_BACKPORT_VECTORCALL
        if (__Pyx_CyFunction_CheckExact(func)) {
            __pyx_vectorcallfunc f = __Pyx_CyFunction_func_vectorcall(func);
            if (f) return f(func, args, (size_t)nargs, NULL);
        }
        #endif
    }
    if (nargs == 0) {
        return __Pyx_PyObject_Call(func, __pyx_empty_tuple, kwargs);
    }
    #if PY_VERSION_HEX >= 0x03090000 && !CYTHON_COMPILING_IN_LIMITED_API
    return PyObject_VectorcallDict(func, args, (size_t)nargs, kwargs);
    #else
    return __Pyx_PyObject_FastCall_fallback(func, args, (size_t)nargs, kwargs);
    #endif
}

/* PyIntBinop */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_MultiplyCObj(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check) {
    CYTHON_MAYBE_UNUSED_VAR(intval);
    CYTHON_MAYBE_UNUSED_VAR(inplace);
    CYTHON_UNUSED_VAR(zerodivision_check);
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op2))) {
        const long a = intval;
        long b = PyInt_AS_LONG(op2);
        
#ifdef HAVE_LONG_LONG
            if (sizeof(PY_LONG_LONG) > sizeof(long)) {
                PY_LONG_LONG result = (PY_LONG_LONG)a * (PY_LONG_LONG)b;
                return (result >= LONG_MIN && result <= LONG_MAX) ?
                    PyInt_FromLong((long)result) : PyLong_FromLongLong(result);
            }
#endif
#if CYTHON_USE_TYPE_SLOTS
            return PyInt_Type.tp_as_number->nb_multiply(op1, op2);
#else
            return PyNumber_Multiply(op1, op2);
#endif
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op2))) {
        const long a = intval;
        long b, x;
#ifdef HAVE_LONG_LONG
        const PY_LONG_LONG lla = intval;
        PY_LONG_LONG llb, llx;
#endif
        if (unlikely(__Pyx_PyLong_IsZero(op2))) {
            return __Pyx_NewRef(op2);
        }
        if (likely(__Pyx_PyLong_IsCompact(op2))) {
            b = __Pyx_PyLong_CompactValue(op2);
        } else {
            const digit* digits = __Pyx_PyLong_Digits(op2);
            const Py_ssize_t size = __Pyx_PyLong_SignedDigitCount(op2);
            switch (size) {
                case -2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT+30) {
                        b = -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT+30) {
                        llb = -(PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                case 2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT+30) {
                        b = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT+30) {
                        llb = (PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                case -3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT+30) {
                        b = -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT+30) {
                        llb = -(PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                case 3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT+30) {
                        b = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT+30) {
                        llb = (PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                case -4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT+30) {
                        b = -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT+30) {
                        llb = -(PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                case 4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT+30) {
                        b = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT+30) {
                        llb = (PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                default: return PyLong_Type.tp_as_number->nb_multiply(op1, op2);
            }
        }
                CYTHON_UNUSED_VAR(a);
                CYTHON_UNUSED_VAR(b);
                #ifdef HAVE_LONG_LONG
                llb = b;
                goto long_long;
                #else
                return PyLong_Type.tp_as_number->nb_multiply(op1, op2);
                #endif
            return PyLong_FromLong(x);
#ifdef HAVE_LONG_LONG
        long_long:
                llx = lla * llb;
            return PyLong_FromLongLong(llx);
#endif
        
        
    }
    #endif
    if (PyFloat_CheckExact(op2)) {
        const long a = intval;
#if CYTHON_COMPILING_IN_LIMITED_API
        double b = __pyx_PyFloat_AsDouble(op2);
#else
        double b = PyFloat_AS_DOUBLE(op2);
#endif
            double result;
            
            PyFPE_START_PROTECT("multiply", return NULL)
            result = ((double)a) * (double)b;
            PyFPE_END_PROTECT(result)
            return PyFloat_FromDouble(result);
    }
    return (inplace ? PyNumber_InPlaceMultiply : PyNumber_Multiply)(op1, op2);
}
#endif

/* RaiseTooManyValuesToUnpack */
static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected) {
    PyErr_Format(PyExc_ValueError,
                 "too many values to unpack (expected %" CYTHON_FORMAT_SSIZE_T "d)", expected);
}

/* RaiseNeedMoreValuesToUnpack */
static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index) {
    PyErr_Format(PyExc_ValueError,
                 "need more than %" CYTHON_FORMAT_SSIZE_T "d value%.1s to unpack",
                 index, (index == 1) ? "" : "s");
}

/* IterFinish */
static CYTHON_INLINE int __Pyx_IterFinish(void) {
    PyObject* exc_type;
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    exc_type = __Pyx_PyErr_CurrentExceptionType();
    if (unlikely(exc_type)) {
        if (unlikely(!__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration)))
            return -1;
        __Pyx_PyErr_Clear();
        return 0;
    }
    return 0;
}

/* UnpackItemEndCheck */
static int __Pyx_IternextUnpackEndCheck(PyObject *retval, Py_ssize_t expected) {
    if (unlikely(retval)) {
        Py_DECREF(retval);
        __Pyx_RaiseTooManyValuesError(expected);
        return -1;
    }
    return __Pyx_IterFinish();
}

/* PyIntBinop */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_TrueDivideObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check) {
    CYTHON_MAYBE_UNUSED_VAR(intval);
    CYTHON_MAYBE_UNUSED_VAR(inplace);
    CYTHON_UNUSED_VAR(zerodivision_check);
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long a = PyInt_AS_LONG(op1);
        
            if (8 * sizeof(long) <= 53 || likely(labs(a) <= ((PY_LONG_LONG)1 << 53))) {
                return PyFloat_FromDouble((double)a / (double)b);
            }
            return PyInt_Type.tp_as_number->nb_true_divide(op1, op2);
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        const long b = intval;
        long a, x;
        if (unlikely(__Pyx_PyLong_IsZero(op1))) {
        }
        if (likely(__Pyx_PyLong_IsCompact(op1))) {
            a = __Pyx_PyLong_CompactValue(op1);
        } else {
            const digit* digits = __Pyx_PyLong_Digits(op1);
            const Py_ssize_t size = __Pyx_PyLong_SignedDigitCount(op1);
            switch (size) {
                case -2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT && 1 * PyLong_SHIFT < 53) {
                        a = -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                    CYTHON_FALLTHROUGH;
                case 2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT && 1 * PyLong_SHIFT < 53) {
                        a = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                    CYTHON_FALLTHROUGH;
                case -3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT && 2 * PyLong_SHIFT < 53) {
                        a = -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                    CYTHON_FALLTHROUGH;
                case 3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT && 2 * PyLong_SHIFT < 53) {
                        a = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                    CYTHON_FALLTHROUGH;
                case -4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT && 3 * PyLong_SHIFT < 53) {
                        a = -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                    CYTHON_FALLTHROUGH;
                case 4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT && 3 * PyLong_SHIFT < 53) {
                        a = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                    CYTHON_FALLTHROUGH;
                default: return PyLong_Type.tp_as_number->nb_true_divide(op1, op2);
            }
        }
                if ((8 * sizeof(long) <= 53 || likely(labs(a) <= ((PY_LONG_LONG)1 << 53)))
                        || __Pyx_PyLong_DigitCount(op1) <= 52 / PyLong_SHIFT) {
                    return PyFloat_FromDouble((double)a / (double)b);
                }
                return PyLong_Type.tp_as_number->nb_true_divide(op1, op2);
            return PyLong_FromLong(x);
        
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
#if CYTHON_COMPILING_IN_LIMITED_API
        double a = __pyx_PyFloat_AsDouble(op1);
#else
        double a = PyFloat_AS_DOUBLE(op1);
#endif
            double result;
            
            PyFPE_START_PROTECT("divide", return NULL)
            result = ((double)a) / (double)b;
            PyFPE_END_PROTECT(result)
            return PyFloat_FromDouble(result);
    }
    return (inplace ? PyNumber_InPlaceTrueDivide : PyNumber_TrueDivide)(op1, op2);
}
#endif

/* PyIntCompare */
static CYTHON_INLINE int __Pyx_PyInt_BoolNeObjC(PyObject *op1, PyObject *op2, long intval, long inplace) {
    CYTHON_MAYBE_UNUSED_VAR(intval);
    CYTHON_UNUSED_VAR(inplace);
    if (op1 == op2) {
        return 0;
    }
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long a = PyInt_AS_LONG(op1);
        return (a != b);
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        int unequal;
        unsigned long uintval;
        Py_ssize_t size = __Pyx_PyLong_DigitCount(op1);
        const digit* digits = __Pyx_PyLong_Digits(op1);
        if (intval == 0) {
            return (__Pyx_PyLong_IsZero(op1) != 1);
        } else if (intval < 0) {
            if (__Pyx_PyLong_IsNonNeg(op1))
                return 1;
            intval = -intval;
        } else {
            if (__Pyx_PyLong_IsNeg(op1))
                return 1;
        }
        uintval = (unsigned long) intval;
#if PyLong_SHIFT * 4 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 4)) {
            unequal = (size != 5) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[4] != ((uintval >> (4 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 3 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 3)) {
            unequal = (size != 4) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 2 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 2)) {
            unequal = (size != 3) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 1 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 1)) {
            unequal = (size != 2) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
            unequal = (size != 1) || (((unsigned long) digits[0]) != (uintval & (unsigned long) PyLong_MASK));
        return (unequal != 0);
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
#if CYTHON_COMPILING_IN_LIMITED_API
        double a = __pyx_PyFloat_AsDouble(op1);
#else
        double a = PyFloat_AS_DOUBLE(op1);
#endif
        return ((double)a != (double)b);
    }
    return __Pyx_PyObject_IsTrueAndDecref(
        PyObject_RichCompare(op1, op2, Py_NE));
}

/* GetItemInt */
static PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j) {
    PyObject *r;
    if (unlikely(!j)) return NULL;
    r = PyObject_GetItem(o, j);
    Py_DECREF(j);
    return r;
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i,
                                                              CYTHON_NCP_UNUSED int wraparound,
                                                              CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    Py_ssize_t wrapped_i = i;
    if (wraparound & unlikely(i < 0)) {
        wrapped_i += PyList_GET_SIZE(o);
    }
    if ((!boundscheck) || likely(__Pyx_is_valid_index(wrapped_i, PyList_GET_SIZE(o)))) {
        PyObject *r = PyList_GET_ITEM(o, wrapped_i);
        Py_INCREF(r);
        return r;
    }
    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
#else
    return PySequence_GetItem(o, i);
#endif
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,
                                                              CYTHON_NCP_UNUSED int wraparound,
                                                              CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    Py_ssize_t wrapped_i = i;
    if (wraparound & unlikely(i < 0)) {
        wrapped_i += PyTuple_GET_SIZE(o);
    }
    if ((!boundscheck) || likely(__Pyx_is_valid_index(wrapped_i, PyTuple_GET_SIZE(o)))) {
        PyObject *r = PyTuple_GET_ITEM(o, wrapped_i);
        Py_INCREF(r);
        return r;
    }
    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
#else
    return PySequence_GetItem(o, i);
#endif
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i, int is_list,
                                                     CYTHON_NCP_UNUSED int wraparound,
                                                     CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS && CYTHON_USE_TYPE_SLOTS
    if (is_list || PyList_CheckExact(o)) {
        Py_ssize_t n = ((!wraparound) | likely(i >= 0)) ? i : i + PyList_GET_SIZE(o);
        if ((!boundscheck) || (likely(__Pyx_is_valid_index(n, PyList_GET_SIZE(o))))) {
            PyObject *r = PyList_GET_ITEM(o, n);
            Py_INCREF(r);
            return r;
        }
    }
    else if (PyTuple_CheckExact(o)) {
        Py_ssize_t n = ((!wraparound) | likely(i >= 0)) ? i : i + PyTuple_GET_SIZE(o);
        if ((!boundscheck) || likely(__Pyx_is_valid_index(n, PyTuple_GET_SIZE(o)))) {
            PyObject *r = PyTuple_GET_ITEM(o, n);
            Py_INCREF(r);
            return r;
        }
    } else {
        PyMappingMethods *mm = Py_TYPE(o)->tp_as_mapping;
        PySequenceMethods *sm = Py_TYPE(o)->tp_as_sequence;
        if (mm && mm->mp_subscript) {
            PyObject *r, *key = PyInt_FromSsize_t(i);
            if (unlikely(!key)) return NULL;
            r = mm->mp_subscript(o, key);
            Py_DECREF(key);
            return r;
        }
        if (likely(sm && sm->sq_item)) {
            if (wraparound && unlikely(i < 0) && likely(sm->sq_length)) {
                Py_ssize_t l = sm->sq_length(o);
                if (likely(l >= 0)) {
                    i += l;
                } else {
                    if (!PyErr_ExceptionMatches(PyExc_OverflowError))
                        return NULL;
                    PyErr_Clear();
                }
            }
            return sm->sq_item(o, i);
        }
    }
#else
    if (is_list || !PyMapping_Check(o)) {
        return PySequence_GetItem(o, i);
    }
#endif
    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
}

/* PyObjectCallOneArg */
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
    PyObject *args[2] = {NULL, arg};
    return __Pyx_PyObject_FastCall(func, args+1, 1 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET);
}

/* ObjectGetItem */
#if CYTHON_USE_TYPE_SLOTS
static PyObject *__Pyx_PyObject_GetIndex(PyObject *obj, PyObject *index) {
    PyObject *runerr = NULL;
    Py_ssize_t key_value;
    key_value = __Pyx_PyIndex_AsSsize_t(index);
    if (likely(key_value != -1 || !(runerr = PyErr_Occurred()))) {
        return __Pyx_GetItemInt_Fast(obj, key_value, 0, 1, 1);
    }
    if (PyErr_GivenExceptionMatches(runerr, PyExc_OverflowError)) {
        __Pyx_TypeName index_type_name = __Pyx_PyType_GetName(Py_TYPE(index));
        PyErr_Clear();
        PyErr_Format(PyExc_IndexError,
            "cannot fit '" __Pyx_FMT_TYPENAME "' into an index-sized integer", index_type_name);
        __Pyx_DECREF_TypeName(index_type_name);
    }
    return NULL;
}
static PyObject *__Pyx_PyObject_GetItem_Slow(PyObject *obj, PyObject *key) {
    __Pyx_TypeName obj_type_name;
    if (likely(PyType_Check(obj))) {
        PyObject *meth = __Pyx_PyObject_GetAttrStrNoError(obj, __pyx_n_s_class_getitem);
        if (!meth) {
            PyErr_Clear();
        } else {
            PyObject *result = __Pyx_PyObject_CallOneArg(meth, key);
            Py_DECREF(meth);
            return result;
        }
    }
    obj_type_name = __Pyx_PyType_GetName(Py_TYPE(obj));
    PyErr_Format(PyExc_TypeError,
        "'" __Pyx_FMT_TYPENAME "' object is not subscriptable", obj_type_name);
    __Pyx_DECREF_TypeName(obj_type_name);
    return NULL;
}
static PyObject *__Pyx_PyObject_GetItem(PyObject *obj, PyObject *key) {
    PyTypeObject *tp = Py_TYPE(obj);
    PyMappingMethods *mm = tp->tp_as_mapping;
    PySequenceMethods *sm = tp->tp_as_sequence;
    if (likely(mm && mm->mp_subscript)) {
        return mm->mp_subscript(obj, key);
    }
    if (likely(sm && sm->sq_item)) {
        return __Pyx_PyObject_GetIndex(obj, key);
    }
    return __Pyx_PyObject_GetItem_Slow(obj, key);
}
#endif

/* PyIntCompare */
static CYTHON_INLINE int __Pyx_PyInt_BoolEqObjC(PyObject *op1, PyObject *op2, long intval, long inplace) {
    CYTHON_MAYBE_UNUSED_VAR(intval);
    CYTHON_UNUSED_VAR(inplace);
    if (op1 == op2) {
        return 1;
    }
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long a = PyInt_AS_LONG(op1);
        return (a == b);
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        int unequal;
        unsigned long uintval;
        Py_ssize_t size = __Pyx_PyLong_DigitCount(op1);
        const digit* digits = __Pyx_PyLong_Digits(op1);
        if (intval == 0) {
            return (__Pyx_PyLong_IsZero(op1) == 1);
        } else if (intval < 0) {
            if (__Pyx_PyLong_IsNonNeg(op1))
                return 0;
            intval = -intval;
        } else {
            if (__Pyx_PyLong_IsNeg(op1))
                return 0;
        }
        uintval = (unsigned long) intval;
#if PyLong_SHIFT * 4 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 4)) {
            unequal = (size != 5) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[4] != ((uintval >> (4 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 3 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 3)) {
            unequal = (size != 4) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 2 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 2)) {
            unequal = (size != 3) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 1 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 1)) {
            unequal = (size != 2) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
            unequal = (size != 1) || (((unsigned long) digits[0]) != (uintval & (unsigned long) PyLong_MASK));
        return (unequal == 0);
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
#if CYTHON_COMPILING_IN_LIMITED_API
        double a = __pyx_PyFloat_AsDouble(op1);
#else
        double a = PyFloat_AS_DOUBLE(op1);
#endif
        return ((double)a == (double)b);
    }
    return __Pyx_PyObject_IsTrueAndDecref(
        PyObject_RichCompare(op1, op2, Py_EQ));
}

/* RaiseUnboundLocalError */
static CYTHON_INLINE void __Pyx_RaiseUnboundLocalError(const char *varname) {
    PyErr_Format(PyExc_UnboundLocalError, "local variable '%s' referenced before assignment", varname);
}

/* GetException */
#if CYTHON_FAST_THREAD_STATE
static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb)
#else
static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb)
#endif
{
    PyObject *local_type = NULL, *local_value, *local_tb = NULL;
#if CYTHON_FAST_THREAD_STATE
    PyObject *tmp_type, *tmp_value, *tmp_tb;
  #if PY_VERSION_HEX >= 0x030C00A6
    local_value = tstate->current_exception;
    tstate->current_exception = 0;
    if (likely(local_value)) {
        local_type = (PyObject*) Py_TYPE(local_value);
        Py_INCREF(local_type);
        local_tb = PyException_GetTraceback(local_value);
    }
  #else
    local_type = tstate->curexc_type;
    local_value = tstate->curexc_value;
    local_tb = tstate->curexc_traceback;
    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
  #endif
#else
    PyErr_Fetch(&local_type, &local_value, &local_tb);
#endif
    PyErr_NormalizeException(&local_type, &local_value, &local_tb);
#if CYTHON_FAST_THREAD_STATE && PY_VERSION_HEX >= 0x030C00A6
    if (unlikely(tstate->current_exception))
#elif CYTHON_FAST_THREAD_STATE
    if (unlikely(tstate->curexc_type))
#else
    if (unlikely(PyErr_Occurred()))
#endif
        goto bad;
    #if PY_MAJOR_VERSION >= 3
    if (local_tb) {
        if (unlikely(PyException_SetTraceback(local_value, local_tb) < 0))
            goto bad;
    }
    #endif
    Py_XINCREF(local_tb);
    Py_XINCREF(local_type);
    Py_XINCREF(local_value);
    *type = local_type;
    *value = local_value;
    *tb = local_tb;
#if CYTHON_FAST_THREAD_STATE
    #if CYTHON_USE_EXC_INFO_STACK
    {
        _PyErr_StackItem *exc_info = tstate->exc_info;
      #if PY_VERSION_HEX >= 0x030B00a4
        tmp_value = exc_info->exc_value;
        exc_info->exc_value = local_value;
        tmp_type = NULL;
        tmp_tb = NULL;
        Py_XDECREF(local_type);
        Py_XDECREF(local_tb);
      #else
        tmp_type = exc_info->exc_type;
        tmp_value = exc_info->exc_value;
        tmp_tb = exc_info->exc_traceback;
        exc_info->exc_type = local_type;
        exc_info->exc_value = local_value;
        exc_info->exc_traceback = local_tb;
      #endif
    }
    #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = local_type;
    tstate->exc_value = local_value;
    tstate->exc_traceback = local_tb;
    #endif
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
#else
    PyErr_SetExcInfo(local_type, local_value, local_tb);
#endif
    return 0;
bad:
    *type = 0;
    *value = 0;
    *tb = 0;
    Py_XDECREF(local_type);
    Py_XDECREF(local_value);
    Py_XDECREF(local_tb);
    return -1;
}

/* pep479 */
static void __Pyx_Generator_Replace_StopIteration(int in_async_gen) {
    PyObject *exc, *val, *tb, *cur_exc;
    __Pyx_PyThreadState_declare
    #ifdef __Pyx_StopAsyncIteration_USED
    int is_async_stopiteration = 0;
    #endif
    CYTHON_MAYBE_UNUSED_VAR(in_async_gen);
    cur_exc = PyErr_Occurred();
    if (likely(!__Pyx_PyErr_GivenExceptionMatches(cur_exc, PyExc_StopIteration))) {
        #ifdef __Pyx_StopAsyncIteration_USED
        if (in_async_gen && unlikely(__Pyx_PyErr_GivenExceptionMatches(cur_exc, __Pyx_PyExc_StopAsyncIteration))) {
            is_async_stopiteration = 1;
        } else
        #endif
            return;
    }
    __Pyx_PyThreadState_assign
    __Pyx_GetException(&exc, &val, &tb);
    Py_XDECREF(exc);
    Py_XDECREF(val);
    Py_XDECREF(tb);
    PyErr_SetString(PyExc_RuntimeError,
        #ifdef __Pyx_StopAsyncIteration_USED
        is_async_stopiteration ? "async generator raised StopAsyncIteration" :
        in_async_gen ? "async generator raised StopIteration" :
        #endif
        "generator raised StopIteration");
}

/* FixUpExtensionType */
#if CYTHON_USE_TYPE_SPECS
static int __Pyx_fix_up_extension_type_from_spec(PyType_Spec *spec, PyTypeObject *type) {
#if PY_VERSION_HEX > 0x030900B1 || CYTHON_COMPILING_IN_LIMITED_API
    CYTHON_UNUSED_VAR(spec);
    CYTHON_UNUSED_VAR(type);
#else
    const PyType_Slot *slot = spec->slots;
    while (slot && slot->slot && slot->slot != Py_tp_members)
        slot++;
    if (slot && slot->slot == Py_tp_members) {
        int changed = 0;
#if !(PY_VERSION_HEX <= 0x030900b1 && CYTHON_COMPILING_IN_CPYTHON)
        const
#endif
            PyMemberDef *memb = (PyMemberDef*) slot->pfunc;
        while (memb && memb->name) {
            if (memb->name[0] == '_' && memb->name[1] == '_') {
#if PY_VERSION_HEX < 0x030900b1
                if (strcmp(memb->name, "__weaklistoffset__") == 0) {
                    assert(memb->type == T_PYSSIZET);
                    assert(memb->flags == READONLY);
                    type->tp_weaklistoffset = memb->offset;
                    changed = 1;
                }
                else if (strcmp(memb->name, "__dictoffset__") == 0) {
                    assert(memb->type == T_PYSSIZET);
                    assert(memb->flags == READONLY);
                    type->tp_dictoffset = memb->offset;
                    changed = 1;
                }
#if CYTHON_METH_FASTCALL
                else if (strcmp(memb->name, "__vectorcalloffset__") == 0) {
                    assert(memb->type == T_PYSSIZET);
                    assert(memb->flags == READONLY);
#if PY_VERSION_HEX >= 0x030800b4
                    type->tp_vectorcall_offset = memb->offset;
#else
                    type->tp_print = (printfunc) memb->offset;
#endif
                    changed = 1;
                }
#endif
#else
                if ((0));
#endif
#if PY_VERSION_HEX <= 0x030900b1 && CYTHON_COMPILING_IN_CPYTHON
                else if (strcmp(memb->name, "__module__") == 0) {
                    PyObject *descr;
                    assert(memb->type == T_OBJECT);
                    assert(memb->flags == 0 || memb->flags == READONLY);
                    descr = PyDescr_NewMember(type, memb);
                    if (unlikely(!descr))
                        return -1;
                    if (unlikely(PyDict_SetItem(type->tp_dict, PyDescr_NAME(descr), descr) < 0)) {
                        Py_DECREF(descr);
                        return -1;
                    }
                    Py_DECREF(descr);
                    changed = 1;
                }
#endif
            }
            memb++;
        }
        if (changed)
            PyType_Modified(type);
    }
#endif
    return 0;
}
#endif

/* FetchSharedCythonModule */
static PyObject *__Pyx_FetchSharedCythonABIModule(void) {
    return __Pyx_PyImport_AddModuleRef((char*) __PYX_ABI_MODULE_NAME);
}

/* FetchCommonType */
static int __Pyx_VerifyCachedType(PyObject *cached_type,
                               const char *name,
                               Py_ssize_t basicsize,
                               Py_ssize_t expected_basicsize) {
    if (!PyType_Check(cached_type)) {
        PyErr_Format(PyExc_TypeError,
            "Shared Cython type %.200s is not a type object", name);
        return -1;
    }
    if (basicsize != expected_basicsize) {
        PyErr_Format(PyExc_TypeError,
            "Shared Cython type %.200s has the wrong size, try recompiling",
            name);
        return -1;
    }
    return 0;
}
#if !CYTHON_USE_TYPE_SPECS
static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type) {
    PyObject* abi_module;
    const char* object_name;
    PyTypeObject *cached_type = NULL;
    abi_module = __Pyx_FetchSharedCythonABIModule();
    if (!abi_module) return NULL;
    object_name = strrchr(type->tp_name, '.');
    object_name = object_name ? object_name+1 : type->tp_name;
    cached_type = (PyTypeObject*) PyObject_GetAttrString(abi_module, object_name);
    if (cached_type) {
        if (__Pyx_VerifyCachedType(
              (PyObject *)cached_type,
              object_name,
              cached_type->tp_basicsize,
              type->tp_basicsize) < 0) {
            goto bad;
        }
        goto done;
    }
    if (!PyErr_ExceptionMatches(PyExc_AttributeError)) goto bad;
    PyErr_Clear();
    if (PyType_Ready(type) < 0) goto bad;
    if (PyObject_SetAttrString(abi_module, object_name, (PyObject *)type) < 0)
        goto bad;
    Py_INCREF(type);
    cached_type = type;
done:
    Py_DECREF(abi_module);
    return cached_type;
bad:
    Py_XDECREF(cached_type);
    cached_type = NULL;
    goto done;
}
#else
static PyTypeObject *__Pyx_FetchCommonTypeFromSpec(PyObject *module, PyType_Spec *spec, PyObject *bases) {
    PyObject *abi_module, *cached_type = NULL;
    const char* object_name = strrchr(spec->name, '.');
    object_name = object_name ? object_name+1 : spec->name;
    abi_module = __Pyx_FetchSharedCythonABIModule();
    if (!abi_module) return NULL;
    cached_type = PyObject_GetAttrString(abi_module, object_name);
    if (cached_type) {
        Py_ssize_t basicsize;
#if CYTHON_COMPILING_IN_LIMITED_API
        PyObject *py_basicsize;
        py_basicsize = PyObject_GetAttrString(cached_type, "__basicsize__");
        if (unlikely(!py_basicsize)) goto bad;
        basicsize = PyLong_AsSsize_t(py_basicsize);
        Py_DECREF(py_basicsize);
        py_basicsize = 0;
        if (unlikely(basicsize == (Py_ssize_t)-1) && PyErr_Occurred()) goto bad;
#else
        basicsize = likely(PyType_Check(cached_type)) ? ((PyTypeObject*) cached_type)->tp_basicsize : -1;
#endif
        if (__Pyx_VerifyCachedType(
              cached_type,
              object_name,
              basicsize,
              spec->basicsize) < 0) {
            goto bad;
        }
        goto done;
    }
    if (!PyErr_ExceptionMatches(PyExc_AttributeError)) goto bad;
    PyErr_Clear();
    CYTHON_UNUSED_VAR(module);
    cached_type = __Pyx_PyType_FromModuleAndSpec(abi_module, spec, bases);
    if (unlikely(!cached_type)) goto bad;
    if (unlikely(__Pyx_fix_up_extension_type_from_spec(spec, (PyTypeObject *) cached_type) < 0)) goto bad;
    if (PyObject_SetAttrString(abi_module, object_name, cached_type) < 0) goto bad;
done:
    Py_DECREF(abi_module);
    assert(cached_type == NULL || PyType_Check(cached_type));
    return (PyTypeObject *) cached_type;
bad:
    Py_XDECREF(cached_type);
    cached_type = NULL;
    goto done;
}
#endif

/* RaiseException */
#if PY_MAJOR_VERSION < 3
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {
    __Pyx_PyThreadState_declare
    CYTHON_UNUSED_VAR(cause);
    Py_XINCREF(type);
    if (!value || value == Py_None)
        value = NULL;
    else
        Py_INCREF(value);
    if (!tb || tb == Py_None)
        tb = NULL;
    else {
        Py_INCREF(tb);
        if (!PyTraceBack_Check(tb)) {
            PyErr_SetString(PyExc_TypeError,
                "raise: arg 3 must be a traceback or None");
            goto raise_error;
        }
    }
    if (PyType_Check(type)) {
#if CYTHON_COMPILING_IN_PYPY
        if (!value) {
            Py_INCREF(Py_None);
            value = Py_None;
        }
#endif
        PyErr_NormalizeException(&type, &value, &tb);
    } else {
        if (value) {
            PyErr_SetString(PyExc_TypeError,
                "instance exception may not have a separate value");
            goto raise_error;
        }
        value = type;
        type = (PyObject*) Py_TYPE(type);
        Py_INCREF(type);
        if (!PyType_IsSubtype((PyTypeObject *)type, (PyTypeObject *)PyExc_BaseException)) {
            PyErr_SetString(PyExc_TypeError,
                "raise: exception class must be a subclass of BaseException");
            goto raise_error;
        }
    }
    __Pyx_PyThreadState_assign
    __Pyx_ErrRestore(type, value, tb);
    return;
raise_error:
    Py_XDECREF(value);
    Py_XDECREF(type);
    Py_XDECREF(tb);
    return;
}
#else
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {
    PyObject* owned_instance = NULL;
    if (tb == Py_None) {
        tb = 0;
    } else if (tb && !PyTraceBack_Check(tb)) {
        PyErr_SetString(PyExc_TypeError,
            "raise: arg 3 must be a traceback or None");
        goto bad;
    }
    if (value == Py_None)
        value = 0;
    if (PyExceptionInstance_Check(type)) {
        if (value) {
            PyErr_SetString(PyExc_TypeError,
                "instance exception may not have a separate value");
            goto bad;
        }
        value = type;
        type = (PyObject*) Py_TYPE(value);
    } else if (PyExceptionClass_Check(type)) {
        PyObject *instance_class = NULL;
        if (value && PyExceptionInstance_Check(value)) {
            instance_class = (PyObject*) Py_TYPE(value);
            if (instance_class != type) {
                int is_subclass = PyObject_IsSubclass(instance_class, type);
                if (!is_subclass) {
                    instance_class = NULL;
                } else if (unlikely(is_subclass == -1)) {
                    goto bad;
                } else {
                    type = instance_class;
                }
            }
        }
        if (!instance_class) {
            PyObject *args;
            if (!value)
                args = PyTuple_New(0);
            else if (PyTuple_Check(value)) {
                Py_INCREF(value);
                args = value;
            } else
                args = PyTuple_Pack(1, value);
            if (!args)
                goto bad;
            owned_instance = PyObject_Call(type, args, NULL);
            Py_DECREF(args);
            if (!owned_instance)
                goto bad;
            value = owned_instance;
            if (!PyExceptionInstance_Check(value)) {
                PyErr_Format(PyExc_TypeError,
                             "calling %R should have returned an instance of "
                             "BaseException, not %R",
                             type, Py_TYPE(value));
                goto bad;
            }
        }
    } else {
        PyErr_SetString(PyExc_TypeError,
            "raise: exception class must be a subclass of BaseException");
        goto bad;
    }
    if (cause) {
        PyObject *fixed_cause;
        if (cause == Py_None) {
            fixed_cause = NULL;
        } else if (PyExceptionClass_Check(cause)) {
            fixed_cause = PyObject_CallObject(cause, NULL);
            if (fixed_cause == NULL)
                goto bad;
        } else if (PyExceptionInstance_Check(cause)) {
            fixed_cause = cause;
            Py_INCREF(fixed_cause);
        } else {
            PyErr_SetString(PyExc_TypeError,
                            "exception causes must derive from "
                            "BaseException");
            goto bad;
        }
        PyException_SetCause(value, fixed_cause);
    }
    PyErr_SetObject(type, value);
    if (tb) {
      #if PY_VERSION_HEX >= 0x030C00A6
        PyException_SetTraceback(value, tb);
      #elif CYTHON_FAST_THREAD_STATE
        PyThreadState *tstate = __Pyx_PyThreadState_Current;
        PyObject* tmp_tb = tstate->curexc_traceback;
        if (tb != tmp_tb) {
            Py_INCREF(tb);
            tstate->curexc_traceback = tb;
            Py_XDECREF(tmp_tb);
        }
#else
        PyObject *tmp_type, *tmp_value, *tmp_tb;
        PyErr_Fetch(&tmp_type, &tmp_value, &tmp_tb);
        Py_INCREF(tb);
        PyErr_Restore(tmp_type, tmp_value, tb);
        Py_XDECREF(tmp_tb);
#endif
    }
bad:
    Py_XDECREF(owned_instance);
    return;
}
#endif

/* GetTopmostException */
#if CYTHON_USE_EXC_INFO_STACK && CYTHON_FAST_THREAD_STATE
static _PyErr_StackItem *
__Pyx_PyErr_GetTopmostException(PyThreadState *tstate)
{
    _PyErr_StackItem *exc_info = tstate->exc_info;
    while ((exc_info->exc_value == NULL || exc_info->exc_value == Py_None) &&
           exc_info->previous_item != NULL)
    {
        exc_info = exc_info->previous_item;
    }
    return exc_info;
}
#endif

/* SaveResetException */
#if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
  #if CYTHON_USE_EXC_INFO_STACK && PY_VERSION_HEX >= 0x030B00a4
    _PyErr_StackItem *exc_info = __Pyx_PyErr_GetTopmostException(tstate);
    PyObject *exc_value = exc_info->exc_value;
    if (exc_value == NULL || exc_value == Py_None) {
        *value = NULL;
        *type = NULL;
        *tb = NULL;
    } else {
        *value = exc_value;
        Py_INCREF(*value);
        *type = (PyObject*) Py_TYPE(exc_value);
        Py_INCREF(*type);
        *tb = PyException_GetTraceback(exc_value);
    }
  #elif CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = __Pyx_PyErr_GetTopmostException(tstate);
    *type = exc_info->exc_type;
    *value = exc_info->exc_value;
    *tb = exc_info->exc_traceback;
    Py_XINCREF(*type);
    Py_XINCREF(*value);
    Py_XINCREF(*tb);
  #else
    *type = tstate->exc_type;
    *value = tstate->exc_value;
    *tb = tstate->exc_traceback;
    Py_XINCREF(*type);
    Py_XINCREF(*value);
    Py_XINCREF(*tb);
  #endif
}
static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
  #if CYTHON_USE_EXC_INFO_STACK && PY_VERSION_HEX >= 0x030B00a4
    _PyErr_StackItem *exc_info = tstate->exc_info;
    PyObject *tmp_value = exc_info->exc_value;
    exc_info->exc_value = value;
    Py_XDECREF(tmp_value);
    Py_XDECREF(type);
    Py_XDECREF(tb);
  #else
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    #if CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = tstate->exc_info;
    tmp_type = exc_info->exc_type;
    tmp_value = exc_info->exc_value;
    tmp_tb = exc_info->exc_traceback;
    exc_info->exc_type = type;
    exc_info->exc_value = value;
    exc_info->exc_traceback = tb;
    #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = type;
    tstate->exc_value = value;
    tstate->exc_traceback = tb;
    #endif
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
  #endif
}
#endif

/* SwapException */
#if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx__ExceptionSwap(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
  #if CYTHON_USE_EXC_INFO_STACK && PY_VERSION_HEX >= 0x030B00a4
    _PyErr_StackItem *exc_info = tstate->exc_info;
    tmp_value = exc_info->exc_value;
    exc_info->exc_value = *value;
    if (tmp_value == NULL || tmp_value == Py_None) {
        Py_XDECREF(tmp_value);
        tmp_value = NULL;
        tmp_type = NULL;
        tmp_tb = NULL;
    } else {
        tmp_type = (PyObject*) Py_TYPE(tmp_value);
        Py_INCREF(tmp_type);
        #if CYTHON_COMPILING_IN_CPYTHON
        tmp_tb = ((PyBaseExceptionObject*) tmp_value)->traceback;
        Py_XINCREF(tmp_tb);
        #else
        tmp_tb = PyException_GetTraceback(tmp_value);
        #endif
    }
  #elif CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = tstate->exc_info;
    tmp_type = exc_info->exc_type;
    tmp_value = exc_info->exc_value;
    tmp_tb = exc_info->exc_traceback;
    exc_info->exc_type = *type;
    exc_info->exc_value = *value;
    exc_info->exc_traceback = *tb;
  #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = *type;
    tstate->exc_value = *value;
    tstate->exc_traceback = *tb;
  #endif
    *type = tmp_type;
    *value = tmp_value;
    *tb = tmp_tb;
}
#else
static CYTHON_INLINE void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    PyErr_GetExcInfo(&tmp_type, &tmp_value, &tmp_tb);
    PyErr_SetExcInfo(*type, *value, *tb);
    *type = tmp_type;
    *value = tmp_value;
    *tb = tmp_tb;
}
#endif

/* PyObjectCall2Args */
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call2Args(PyObject* function, PyObject* arg1, PyObject* arg2) {
    PyObject *args[3] = {NULL, arg1, arg2};
    return __Pyx_PyObject_FastCall(function, args+1, 2 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET);
}

/* PyObjectGetMethod */
static int __Pyx_PyObject_GetMethod(PyObject *obj, PyObject *name, PyObject **method) {
    PyObject *attr;
#if CYTHON_UNPACK_METHODS && CYTHON_COMPILING_IN_CPYTHON && CYTHON_USE_PYTYPE_LOOKUP
    __Pyx_TypeName type_name;
    PyTypeObject *tp = Py_TYPE(obj);
    PyObject *descr;
    descrgetfunc f = NULL;
    PyObject **dictptr, *dict;
    int meth_found = 0;
    assert (*method == NULL);
    if (unlikely(tp->tp_getattro != PyObject_GenericGetAttr)) {
        attr = __Pyx_PyObject_GetAttrStr(obj, name);
        goto try_unpack;
    }
    if (unlikely(tp->tp_dict == NULL) && unlikely(PyType_Ready(tp) < 0)) {
        return 0;
    }
    descr = _PyType_Lookup(tp, name);
    if (likely(descr != NULL)) {
        Py_INCREF(descr);
#if defined(Py_TPFLAGS_METHOD_DESCRIPTOR) && Py_TPFLAGS_METHOD_DESCRIPTOR
        if (__Pyx_PyType_HasFeature(Py_TYPE(descr), Py_TPFLAGS_METHOD_DESCRIPTOR))
#elif PY_MAJOR_VERSION >= 3
        #ifdef __Pyx_CyFunction_USED
        if (likely(PyFunction_Check(descr) || __Pyx_IS_TYPE(descr, &PyMethodDescr_Type) || __Pyx_CyFunction_Check(descr)))
        #else
        if (likely(PyFunction_Check(descr) || __Pyx_IS_TYPE(descr, &PyMethodDescr_Type)))
        #endif
#else
        #ifdef __Pyx_CyFunction_USED
        if (likely(PyFunction_Check(descr) || __Pyx_CyFunction_Check(descr)))
        #else
        if (likely(PyFunction_Check(descr)))
        #endif
#endif
        {
            meth_found = 1;
        } else {
            f = Py_TYPE(descr)->tp_descr_get;
            if (f != NULL && PyDescr_IsData(descr)) {
                attr = f(descr, obj, (PyObject *)Py_TYPE(obj));
                Py_DECREF(descr);
                goto try_unpack;
            }
        }
    }
    dictptr = _PyObject_GetDictPtr(obj);
    if (dictptr != NULL && (dict = *dictptr) != NULL) {
        Py_INCREF(dict);
        attr = __Pyx_PyDict_GetItemStr(dict, name);
        if (attr != NULL) {
            Py_INCREF(attr);
            Py_DECREF(dict);
            Py_XDECREF(descr);
            goto try_unpack;
        }
        Py_DECREF(dict);
    }
    if (meth_found) {
        *method = descr;
        return 1;
    }
    if (f != NULL) {
        attr = f(descr, obj, (PyObject *)Py_TYPE(obj));
        Py_DECREF(descr);
        goto try_unpack;
    }
    if (likely(descr != NULL)) {
        *method = descr;
        return 0;
    }
    type_name = __Pyx_PyType_GetName(tp);
    PyErr_Format(PyExc_AttributeError,
#if PY_MAJOR_VERSION >= 3
                 "'" __Pyx_FMT_TYPENAME "' object has no attribute '%U'",
                 type_name, name);
#else
                 "'" __Pyx_FMT_TYPENAME "' object has no attribute '%.400s'",
                 type_name, PyString_AS_STRING(name));
#endif
    __Pyx_DECREF_TypeName(type_name);
    return 0;
#else
    attr = __Pyx_PyObject_GetAttrStr(obj, name);
    goto try_unpack;
#endif
try_unpack:
#if CYTHON_UNPACK_METHODS
    if (likely(attr) && PyMethod_Check(attr) && likely(PyMethod_GET_SELF(attr) == obj)) {
        PyObject *function = PyMethod_GET_FUNCTION(attr);
        Py_INCREF(function);
        Py_DECREF(attr);
        *method = function;
        return 1;
    }
#endif
    *method = attr;
    return 0;
}

/* PyObjectCallMethod1 */
#if !(CYTHON_VECTORCALL && __PYX_LIMITED_VERSION_HEX >= 0x030C00A2)
static PyObject* __Pyx__PyObject_CallMethod1(PyObject* method, PyObject* arg) {
    PyObject *result = __Pyx_PyObject_CallOneArg(method, arg);
    Py_DECREF(method);
    return result;
}
#endif
static PyObject* __Pyx_PyObject_CallMethod1(PyObject* obj, PyObject* method_name, PyObject* arg) {
#if CYTHON_VECTORCALL && __PYX_LIMITED_VERSION_HEX >= 0x030C00A2
    PyObject *args[2] = {obj, arg};
    (void) __Pyx_PyObject_GetMethod;
    (void) __Pyx_PyObject_CallOneArg;
    (void) __Pyx_PyObject_Call2Args;
    return PyObject_VectorcallMethod(method_name, args, 2 | PY_VECTORCALL_ARGUMENTS_OFFSET, NULL);
#else
    PyObject *method = NULL, *result;
    int is_method = __Pyx_PyObject_GetMethod(obj, method_name, &method);
    if (likely(is_method)) {
        result = __Pyx_PyObject_Call2Args(method, obj, arg);
        Py_DECREF(method);
        return result;
    }
    if (unlikely(!method)) return NULL;
    return __Pyx__PyObject_CallMethod1(method, arg);
#endif
}

/* PyObjectCallNoArg */
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func) {
    PyObject *arg[2] = {NULL, NULL};
    return __Pyx_PyObject_FastCall(func, arg + 1, 0 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET);
}

/* CoroutineBase */
#include <frameobject.h>
#if PY_VERSION_HEX >= 0x030b00a6
  #ifndef Py_BUILD_CORE
    #define Py_BUILD_CORE 1
  #endif
  #include "internal/pycore_frame.h"
#endif
#define __Pyx_Coroutine_Undelegate(gen) Py_CLEAR((gen)->yieldfrom)
static int __Pyx_PyGen__FetchStopIterationValue(PyThreadState *__pyx_tstate, PyObject **pvalue) {
    PyObject *et, *ev, *tb;
    PyObject *value = NULL;
    CYTHON_UNUSED_VAR(__pyx_tstate);
    __Pyx_ErrFetch(&et, &ev, &tb);
    if (!et) {
        Py_XDECREF(tb);
        Py_XDECREF(ev);
        Py_INCREF(Py_None);
        *pvalue = Py_None;
        return 0;
    }
    if (likely(et == PyExc_StopIteration)) {
        if (!ev) {
            Py_INCREF(Py_None);
            value = Py_None;
        }
#if PY_VERSION_HEX >= 0x030300A0
        else if (likely(__Pyx_IS_TYPE(ev, (PyTypeObject*)PyExc_StopIteration))) {
            value = ((PyStopIterationObject *)ev)->value;
            Py_INCREF(value);
            Py_DECREF(ev);
        }
#endif
        else if (unlikely(PyTuple_Check(ev))) {
            if (PyTuple_GET_SIZE(ev) >= 1) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
                value = PyTuple_GET_ITEM(ev, 0);
                Py_INCREF(value);
#else
                value = PySequence_ITEM(ev, 0);
#endif
            } else {
                Py_INCREF(Py_None);
                value = Py_None;
            }
            Py_DECREF(ev);
        }
        else if (!__Pyx_TypeCheck(ev, (PyTypeObject*)PyExc_StopIteration)) {
            value = ev;
        }
        if (likely(value)) {
            Py_XDECREF(tb);
            Py_DECREF(et);
            *pvalue = value;
            return 0;
        }
    } else if (!__Pyx_PyErr_GivenExceptionMatches(et, PyExc_StopIteration)) {
        __Pyx_ErrRestore(et, ev, tb);
        return -1;
    }
    PyErr_NormalizeException(&et, &ev, &tb);
    if (unlikely(!PyObject_TypeCheck(ev, (PyTypeObject*)PyExc_StopIteration))) {
        __Pyx_ErrRestore(et, ev, tb);
        return -1;
    }
    Py_XDECREF(tb);
    Py_DECREF(et);
#if PY_VERSION_HEX >= 0x030300A0
    value = ((PyStopIterationObject *)ev)->value;
    Py_INCREF(value);
    Py_DECREF(ev);
#else
    {
        PyObject* args = __Pyx_PyObject_GetAttrStr(ev, __pyx_n_s_args);
        Py_DECREF(ev);
        if (likely(args)) {
            value = PySequence_GetItem(args, 0);
            Py_DECREF(args);
        }
        if (unlikely(!value)) {
            __Pyx_ErrRestore(NULL, NULL, NULL);
            Py_INCREF(Py_None);
            value = Py_None;
        }
    }
#endif
    *pvalue = value;
    return 0;
}
static CYTHON_INLINE
void __Pyx_Coroutine_ExceptionClear(__Pyx_ExcInfoStruct *exc_state) {
#if PY_VERSION_HEX >= 0x030B00a4
    Py_CLEAR(exc_state->exc_value);
#else
    PyObject *t, *v, *tb;
    t = exc_state->exc_type;
    v = exc_state->exc_value;
    tb = exc_state->exc_traceback;
    exc_state->exc_type = NULL;
    exc_state->exc_value = NULL;
    exc_state->exc_traceback = NULL;
    Py_XDECREF(t);
    Py_XDECREF(v);
    Py_XDECREF(tb);
#endif
}
#define __Pyx_Coroutine_AlreadyRunningError(gen)  (__Pyx__Coroutine_AlreadyRunningError(gen), (PyObject*)NULL)
static void __Pyx__Coroutine_AlreadyRunningError(__pyx_CoroutineObject *gen) {
    const char *msg;
    CYTHON_MAYBE_UNUSED_VAR(gen);
    if ((0)) {
    #ifdef __Pyx_Coroutine_USED
    } else if (__Pyx_Coroutine_Check((PyObject*)gen)) {
        msg = "coroutine already executing";
    #endif
    #ifdef __Pyx_AsyncGen_USED
    } else if (__Pyx_AsyncGen_CheckExact((PyObject*)gen)) {
        msg = "async generator already executing";
    #endif
    } else {
        msg = "generator already executing";
    }
    PyErr_SetString(PyExc_ValueError, msg);
}
#define __Pyx_Coroutine_NotStartedError(gen)  (__Pyx__Coroutine_NotStartedError(gen), (PyObject*)NULL)
static void __Pyx__Coroutine_NotStartedError(PyObject *gen) {
    const char *msg;
    CYTHON_MAYBE_UNUSED_VAR(gen);
    if ((0)) {
    #ifdef __Pyx_Coroutine_USED
    } else if (__Pyx_Coroutine_Check(gen)) {
        msg = "can't send non-None value to a just-started coroutine";
    #endif
    #ifdef __Pyx_AsyncGen_USED
    } else if (__Pyx_AsyncGen_CheckExact(gen)) {
        msg = "can't send non-None value to a just-started async generator";
    #endif
    } else {
        msg = "can't send non-None value to a just-started generator";
    }
    PyErr_SetString(PyExc_TypeError, msg);
}
#define __Pyx_Coroutine_AlreadyTerminatedError(gen, value, closing)  (__Pyx__Coroutine_AlreadyTerminatedError(gen, value, closing), (PyObject*)NULL)
static void __Pyx__Coroutine_AlreadyTerminatedError(PyObject *gen, PyObject *value, int closing) {
    CYTHON_MAYBE_UNUSED_VAR(gen);
    CYTHON_MAYBE_UNUSED_VAR(closing);
    #ifdef __Pyx_Coroutine_USED
    if (!closing && __Pyx_Coroutine_Check(gen)) {
        PyErr_SetString(PyExc_RuntimeError, "cannot reuse already awaited coroutine");
    } else
    #endif
    if (value) {
        #ifdef __Pyx_AsyncGen_USED
        if (__Pyx_AsyncGen_CheckExact(gen))
            PyErr_SetNone(__Pyx_PyExc_StopAsyncIteration);
        else
        #endif
        PyErr_SetNone(PyExc_StopIteration);
    }
}
static
PyObject *__Pyx_Coroutine_SendEx(__pyx_CoroutineObject *self, PyObject *value, int closing) {
    __Pyx_PyThreadState_declare
    PyThreadState *tstate;
    __Pyx_ExcInfoStruct *exc_state;
    PyObject *retval;
    assert(!self->is_running);
    if (unlikely(self->resume_label == 0)) {
        if (unlikely(value && value != Py_None)) {
            return __Pyx_Coroutine_NotStartedError((PyObject*)self);
        }
    }
    if (unlikely(self->resume_label == -1)) {
        return __Pyx_Coroutine_AlreadyTerminatedError((PyObject*)self, value, closing);
    }
#if CYTHON_FAST_THREAD_STATE
    __Pyx_PyThreadState_assign
    tstate = __pyx_tstate;
#else
    tstate = __Pyx_PyThreadState_Current;
#endif
    exc_state = &self->gi_exc_state;
    if (exc_state->exc_value) {
        #if CYTHON_COMPILING_IN_PYPY
        #else
        PyObject *exc_tb;
        #if PY_VERSION_HEX >= 0x030B00a4 && !CYTHON_COMPILING_IN_CPYTHON
        exc_tb = PyException_GetTraceback(exc_state->exc_value);
        #elif PY_VERSION_HEX >= 0x030B00a4
        exc_tb = ((PyBaseExceptionObject*) exc_state->exc_value)->traceback;
        #else
        exc_tb = exc_state->exc_traceback;
        #endif
        if (exc_tb) {
            PyTracebackObject *tb = (PyTracebackObject *) exc_tb;
            PyFrameObject *f = tb->tb_frame;
            assert(f->f_back == NULL);
            #if PY_VERSION_HEX >= 0x030B00A1
            f->f_back = PyThreadState_GetFrame(tstate);
            #else
            Py_XINCREF(tstate->frame);
            f->f_back = tstate->frame;
            #endif
            #if PY_VERSION_HEX >= 0x030B00a4 && !CYTHON_COMPILING_IN_CPYTHON
            Py_DECREF(exc_tb);
            #endif
        }
        #endif
    }
#if CYTHON_USE_EXC_INFO_STACK
    exc_state->previous_item = tstate->exc_info;
    tstate->exc_info = exc_state;
#else
    if (exc_state->exc_type) {
        __Pyx_ExceptionSwap(&exc_state->exc_type, &exc_state->exc_value, &exc_state->exc_traceback);
    } else {
        __Pyx_Coroutine_ExceptionClear(exc_state);
        __Pyx_ExceptionSave(&exc_state->exc_type, &exc_state->exc_value, &exc_state->exc_traceback);
    }
#endif
    self->is_running = 1;
    retval = self->body(self, tstate, value);
    self->is_running = 0;
#if CYTHON_USE_EXC_INFO_STACK
    exc_state = &self->gi_exc_state;
    tstate->exc_info = exc_state->previous_item;
    exc_state->previous_item = NULL;
    __Pyx_Coroutine_ResetFrameBackpointer(exc_state);
#endif
    return retval;
}
static CYTHON_INLINE void __Pyx_Coroutine_ResetFrameBackpointer(__Pyx_ExcInfoStruct *exc_state) {
#if CYTHON_COMPILING_IN_PYPY
    CYTHON_UNUSED_VAR(exc_state);
#else
    PyObject *exc_tb;
    #if PY_VERSION_HEX >= 0x030B00a4
    if (!exc_state->exc_value) return;
    exc_tb = PyException_GetTraceback(exc_state->exc_value);
    #else
    exc_tb = exc_state->exc_traceback;
    #endif
    if (likely(exc_tb)) {
        PyTracebackObject *tb = (PyTracebackObject *) exc_tb;
        PyFrameObject *f = tb->tb_frame;
        Py_CLEAR(f->f_back);
        #if PY_VERSION_HEX >= 0x030B00a4
        Py_DECREF(exc_tb);
        #endif
    }
#endif
}
static CYTHON_INLINE
PyObject *__Pyx_Coroutine_MethodReturn(PyObject* gen, PyObject *retval) {
    CYTHON_MAYBE_UNUSED_VAR(gen);
    if (unlikely(!retval)) {
        __Pyx_PyThreadState_declare
        __Pyx_PyThreadState_assign
        if (!__Pyx_PyErr_Occurred()) {
            PyObject *exc = PyExc_StopIteration;
            #ifdef __Pyx_AsyncGen_USED
            if (__Pyx_AsyncGen_CheckExact(gen))
                exc = __Pyx_PyExc_StopAsyncIteration;
            #endif
            __Pyx_PyErr_SetNone(exc);
        }
    }
    return retval;
}
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03030000 && (defined(__linux__) || PY_VERSION_HEX >= 0x030600B3)
static CYTHON_INLINE
PyObject *__Pyx_PyGen_Send(PyGenObject *gen, PyObject *arg) {
#if PY_VERSION_HEX <= 0x030A00A1
    return _PyGen_Send(gen, arg);
#else
    PyObject *result;
    if (PyIter_Send((PyObject*)gen, arg ? arg : Py_None, &result) == PYGEN_RETURN) {
        if (PyAsyncGen_CheckExact(gen)) {
            assert(result == Py_None);
            PyErr_SetNone(PyExc_StopAsyncIteration);
        }
        else if (result == Py_None) {
            PyErr_SetNone(PyExc_StopIteration);
        }
        else {
#if PY_VERSION_HEX < 0x030d00A1
            _PyGen_SetStopIterationValue(result);
#else
            if (!PyTuple_Check(result) && !PyExceptionInstance_Check(result)) {
                PyErr_SetObject(PyExc_StopIteration, result);
            } else {
                PyObject *exc = __Pyx_PyObject_CallOneArg(PyExc_StopIteration, result);
                if (likely(exc != NULL)) {
                    PyErr_SetObject(PyExc_StopIteration, exc);
                    Py_DECREF(exc);
                }
            }
#endif
        }
        Py_DECREF(result);
        result = NULL;
    }
    return result;
#endif
}
#endif
static CYTHON_INLINE
PyObject *__Pyx_Coroutine_FinishDelegation(__pyx_CoroutineObject *gen) {
    PyObject *ret;
    PyObject *val = NULL;
    __Pyx_Coroutine_Undelegate(gen);
    __Pyx_PyGen__FetchStopIterationValue(__Pyx_PyThreadState_Current, &val);
    ret = __Pyx_Coroutine_SendEx(gen, val, 0);
    Py_XDECREF(val);
    return ret;
}
static PyObject *__Pyx_Coroutine_Send(PyObject *self, PyObject *value) {
    PyObject *retval;
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject*) self;
    PyObject *yf = gen->yieldfrom;
    if (unlikely(gen->is_running))
        return __Pyx_Coroutine_AlreadyRunningError(gen);
    if (yf) {
        PyObject *ret;
        gen->is_running = 1;
        #ifdef __Pyx_Generator_USED
        if (__Pyx_Generator_CheckExact(yf)) {
            ret = __Pyx_Coroutine_Send(yf, value);
        } else
        #endif
        #ifdef __Pyx_Coroutine_USED
        if (__Pyx_Coroutine_Check(yf)) {
            ret = __Pyx_Coroutine_Send(yf, value);
        } else
        #endif
        #ifdef __Pyx_AsyncGen_USED
        if (__pyx_PyAsyncGenASend_CheckExact(yf)) {
            ret = __Pyx_async_gen_asend_send(yf, value);
        } else
        #endif
        #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03030000 && (defined(__linux__) || PY_VERSION_HEX >= 0x030600B3)
        if (PyGen_CheckExact(yf)) {
            ret = __Pyx_PyGen_Send((PyGenObject*)yf, value == Py_None ? NULL : value);
        } else
        #endif
        #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03050000 && defined(PyCoro_CheckExact) && (defined(__linux__) || PY_VERSION_HEX >= 0x030600B3)
        if (PyCoro_CheckExact(yf)) {
            ret = __Pyx_PyGen_Send((PyGenObject*)yf, value == Py_None ? NULL : value);
        } else
        #endif
        {
            if (value == Py_None)
                ret = __Pyx_PyObject_GetIterNextFunc(yf)(yf);
            else
                ret = __Pyx_PyObject_CallMethod1(yf, __pyx_n_s_send, value);
        }
        gen->is_running = 0;
        if (likely(ret)) {
            return ret;
        }
        retval = __Pyx_Coroutine_FinishDelegation(gen);
    } else {
        retval = __Pyx_Coroutine_SendEx(gen, value, 0);
    }
    return __Pyx_Coroutine_MethodReturn(self, retval);
}
static int __Pyx_Coroutine_CloseIter(__pyx_CoroutineObject *gen, PyObject *yf) {
    PyObject *retval = NULL;
    int err = 0;
    #ifdef __Pyx_Generator_USED
    if (__Pyx_Generator_CheckExact(yf)) {
        retval = __Pyx_Coroutine_Close(yf);
        if (!retval)
            return -1;
    } else
    #endif
    #ifdef __Pyx_Coroutine_USED
    if (__Pyx_Coroutine_Check(yf)) {
        retval = __Pyx_Coroutine_Close(yf);
        if (!retval)
            return -1;
    } else
    if (__Pyx_CoroutineAwait_CheckExact(yf)) {
        retval = __Pyx_CoroutineAwait_Close((__pyx_CoroutineAwaitObject*)yf, NULL);
        if (!retval)
            return -1;
    } else
    #endif
    #ifdef __Pyx_AsyncGen_USED
    if (__pyx_PyAsyncGenASend_CheckExact(yf)) {
        retval = __Pyx_async_gen_asend_close(yf, NULL);
    } else
    if (__pyx_PyAsyncGenAThrow_CheckExact(yf)) {
        retval = __Pyx_async_gen_athrow_close(yf, NULL);
    } else
    #endif
    {
        PyObject *meth;
        gen->is_running = 1;
        meth = __Pyx_PyObject_GetAttrStrNoError(yf, __pyx_n_s_close);
        if (unlikely(!meth)) {
            if (unlikely(PyErr_Occurred())) {
                PyErr_WriteUnraisable(yf);
            }
        } else {
            retval = __Pyx_PyObject_CallNoArg(meth);
            Py_DECREF(meth);
            if (unlikely(!retval))
                err = -1;
        }
        gen->is_running = 0;
    }
    Py_XDECREF(retval);
    return err;
}
static PyObject *__Pyx_Generator_Next(PyObject *self) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject*) self;
    PyObject *yf = gen->yieldfrom;
    if (unlikely(gen->is_running))
        return __Pyx_Coroutine_AlreadyRunningError(gen);
    if (yf) {
        PyObject *ret;
        gen->is_running = 1;
        #ifdef __Pyx_Generator_USED
        if (__Pyx_Generator_CheckExact(yf)) {
            ret = __Pyx_Generator_Next(yf);
        } else
        #endif
        #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03030000 && (defined(__linux__) || PY_VERSION_HEX >= 0x030600B3)
        if (PyGen_CheckExact(yf)) {
            ret = __Pyx_PyGen_Send((PyGenObject*)yf, NULL);
        } else
        #endif
        #ifdef __Pyx_Coroutine_USED
        if (__Pyx_Coroutine_Check(yf)) {
            ret = __Pyx_Coroutine_Send(yf, Py_None);
        } else
        #endif
            ret = __Pyx_PyObject_GetIterNextFunc(yf)(yf);
        gen->is_running = 0;
        if (likely(ret)) {
            return ret;
        }
        return __Pyx_Coroutine_FinishDelegation(gen);
    }
    return __Pyx_Coroutine_SendEx(gen, Py_None, 0);
}
static PyObject *__Pyx_Coroutine_Close_Method(PyObject *self, PyObject *arg) {
    CYTHON_UNUSED_VAR(arg);
    return __Pyx_Coroutine_Close(self);
}
static PyObject *__Pyx_Coroutine_Close(PyObject *self) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    PyObject *retval, *raised_exception;
    PyObject *yf = gen->yieldfrom;
    int err = 0;
    if (unlikely(gen->is_running))
        return __Pyx_Coroutine_AlreadyRunningError(gen);
    if (yf) {
        Py_INCREF(yf);
        err = __Pyx_Coroutine_CloseIter(gen, yf);
        __Pyx_Coroutine_Undelegate(gen);
        Py_DECREF(yf);
    }
    if (err == 0)
        PyErr_SetNone(PyExc_GeneratorExit);
    retval = __Pyx_Coroutine_SendEx(gen, NULL, 1);
    if (unlikely(retval)) {
        const char *msg;
        Py_DECREF(retval);
        if ((0)) {
        #ifdef __Pyx_Coroutine_USED
        } else if (__Pyx_Coroutine_Check(self)) {
            msg = "coroutine ignored GeneratorExit";
        #endif
        #ifdef __Pyx_AsyncGen_USED
        } else if (__Pyx_AsyncGen_CheckExact(self)) {
#if PY_VERSION_HEX < 0x03060000
            msg = "async generator ignored GeneratorExit - might require Python 3.6+ finalisation (PEP 525)";
#else
            msg = "async generator ignored GeneratorExit";
#endif
        #endif
        } else {
            msg = "generator ignored GeneratorExit";
        }
        PyErr_SetString(PyExc_RuntimeError, msg);
        return NULL;
    }
    raised_exception = PyErr_Occurred();
    if (likely(!raised_exception || __Pyx_PyErr_GivenExceptionMatches2(raised_exception, PyExc_GeneratorExit, PyExc_StopIteration))) {
        if (raised_exception) PyErr_Clear();
        Py_INCREF(Py_None);
        return Py_None;
    }
    return NULL;
}
static PyObject *__Pyx__Coroutine_Throw(PyObject *self, PyObject *typ, PyObject *val, PyObject *tb,
                                        PyObject *args, int close_on_genexit) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    PyObject *yf = gen->yieldfrom;
    if (unlikely(gen->is_running))
        return __Pyx_Coroutine_AlreadyRunningError(gen);
    if (yf) {
        PyObject *ret;
        Py_INCREF(yf);
        if (__Pyx_PyErr_GivenExceptionMatches(typ, PyExc_GeneratorExit) && close_on_genexit) {
            int err = __Pyx_Coroutine_CloseIter(gen, yf);
            Py_DECREF(yf);
            __Pyx_Coroutine_Undelegate(gen);
            if (err < 0)
                return __Pyx_Coroutine_MethodReturn(self, __Pyx_Coroutine_SendEx(gen, NULL, 0));
            goto throw_here;
        }
        gen->is_running = 1;
        if (0
        #ifdef __Pyx_Generator_USED
            || __Pyx_Generator_CheckExact(yf)
        #endif
        #ifdef __Pyx_Coroutine_USED
            || __Pyx_Coroutine_Check(yf)
        #endif
            ) {
            ret = __Pyx__Coroutine_Throw(yf, typ, val, tb, args, close_on_genexit);
        #ifdef __Pyx_Coroutine_USED
        } else if (__Pyx_CoroutineAwait_CheckExact(yf)) {
            ret = __Pyx__Coroutine_Throw(((__pyx_CoroutineAwaitObject*)yf)->coroutine, typ, val, tb, args, close_on_genexit);
        #endif
        } else {
            PyObject *meth = __Pyx_PyObject_GetAttrStrNoError(yf, __pyx_n_s_throw);
            if (unlikely(!meth)) {
                Py_DECREF(yf);
                if (unlikely(PyErr_Occurred())) {
                    gen->is_running = 0;
                    return NULL;
                }
                __Pyx_Coroutine_Undelegate(gen);
                gen->is_running = 0;
                goto throw_here;
            }
            if (likely(args)) {
                ret = __Pyx_PyObject_Call(meth, args, NULL);
            } else {
                PyObject *cargs[4] = {NULL, typ, val, tb};
                ret = __Pyx_PyObject_FastCall(meth, cargs+1, 3 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET);
            }
            Py_DECREF(meth);
        }
        gen->is_running = 0;
        Py_DECREF(yf);
        if (!ret) {
            ret = __Pyx_Coroutine_FinishDelegation(gen);
        }
        return __Pyx_Coroutine_MethodReturn(self, ret);
    }
throw_here:
    __Pyx_Raise(typ, val, tb, NULL);
    return __Pyx_Coroutine_MethodReturn(self, __Pyx_Coroutine_SendEx(gen, NULL, 0));
}
static PyObject *__Pyx_Coroutine_Throw(PyObject *self, PyObject *args) {
    PyObject *typ;
    PyObject *val = NULL;
    PyObject *tb = NULL;
    if (unlikely(!PyArg_UnpackTuple(args, (char *)"throw", 1, 3, &typ, &val, &tb)))
        return NULL;
    return __Pyx__Coroutine_Throw(self, typ, val, tb, args, 1);
}
static CYTHON_INLINE int __Pyx_Coroutine_traverse_excstate(__Pyx_ExcInfoStruct *exc_state, visitproc visit, void *arg) {
#if PY_VERSION_HEX >= 0x030B00a4
    Py_VISIT(exc_state->exc_value);
#else
    Py_VISIT(exc_state->exc_type);
    Py_VISIT(exc_state->exc_value);
    Py_VISIT(exc_state->exc_traceback);
#endif
    return 0;
}
static int __Pyx_Coroutine_traverse(__pyx_CoroutineObject *gen, visitproc visit, void *arg) {
    Py_VISIT(gen->closure);
    Py_VISIT(gen->classobj);
    Py_VISIT(gen->yieldfrom);
    return __Pyx_Coroutine_traverse_excstate(&gen->gi_exc_state, visit, arg);
}
static int __Pyx_Coroutine_clear(PyObject *self) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    Py_CLEAR(gen->closure);
    Py_CLEAR(gen->classobj);
    Py_CLEAR(gen->yieldfrom);
    __Pyx_Coroutine_ExceptionClear(&gen->gi_exc_state);
#ifdef __Pyx_AsyncGen_USED
    if (__Pyx_AsyncGen_CheckExact(self)) {
        Py_CLEAR(((__pyx_PyAsyncGenObject*)gen)->ag_finalizer);
    }
#endif
    Py_CLEAR(gen->gi_code);
    Py_CLEAR(gen->gi_frame);
    Py_CLEAR(gen->gi_name);
    Py_CLEAR(gen->gi_qualname);
    Py_CLEAR(gen->gi_modulename);
    return 0;
}
static void __Pyx_Coroutine_dealloc(PyObject *self) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    PyObject_GC_UnTrack(gen);
    if (gen->gi_weakreflist != NULL)
        PyObject_ClearWeakRefs(self);
    if (gen->resume_label >= 0) {
        PyObject_GC_Track(self);
#if PY_VERSION_HEX >= 0x030400a1 && CYTHON_USE_TP_FINALIZE
        if (unlikely(PyObject_CallFinalizerFromDealloc(self)))
#else
        Py_TYPE(gen)->tp_del(self);
        if (unlikely(Py_REFCNT(self) > 0))
#endif
        {
            return;
        }
        PyObject_GC_UnTrack(self);
    }
#ifdef __Pyx_AsyncGen_USED
    if (__Pyx_AsyncGen_CheckExact(self)) {
        /* We have to handle this case for asynchronous generators
           right here, because this code has to be between UNTRACK
           and GC_Del. */
        Py_CLEAR(((__pyx_PyAsyncGenObject*)self)->ag_finalizer);
    }
#endif
    __Pyx_Coroutine_clear(self);
    __Pyx_PyHeapTypeObject_GC_Del(gen);
}
static void __Pyx_Coroutine_del(PyObject *self) {
    PyObject *error_type, *error_value, *error_traceback;
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    __Pyx_PyThreadState_declare
    if (gen->resume_label < 0) {
        return;
    }
#if !CYTHON_USE_TP_FINALIZE
    assert(self->ob_refcnt == 0);
    __Pyx_SET_REFCNT(self, 1);
#endif
    __Pyx_PyThreadState_assign
    __Pyx_ErrFetch(&error_type, &error_value, &error_traceback);
#ifdef __Pyx_AsyncGen_USED
    if (__Pyx_AsyncGen_CheckExact(self)) {
        __pyx_PyAsyncGenObject *agen = (__pyx_PyAsyncGenObject*)self;
        PyObject *finalizer = agen->ag_finalizer;
        if (finalizer && !agen->ag_closed) {
            PyObject *res = __Pyx_PyObject_CallOneArg(finalizer, self);
            if (unlikely(!res)) {
                PyErr_WriteUnraisable(self);
            } else {
                Py_DECREF(res);
            }
            __Pyx_ErrRestore(error_type, error_value, error_traceback);
            return;
        }
    }
#endif
    if (unlikely(gen->resume_label == 0 && !error_value)) {
#ifdef __Pyx_Coroutine_USED
#ifdef __Pyx_Generator_USED
    if (!__Pyx_Generator_CheckExact(self))
#endif
        {
        PyObject_GC_UnTrack(self);
#if PY_MAJOR_VERSION >= 3  || defined(PyErr_WarnFormat)
        if (unlikely(PyErr_WarnFormat(PyExc_RuntimeWarning, 1, "coroutine '%.50S' was never awaited", gen->gi_qualname) < 0))
            PyErr_WriteUnraisable(self);
#else
        {PyObject *msg;
        char *cmsg;
        #if CYTHON_COMPILING_IN_PYPY
        msg = NULL;
        cmsg = (char*) "coroutine was never awaited";
        #else
        char *cname;
        PyObject *qualname;
        qualname = gen->gi_qualname;
        cname = PyString_AS_STRING(qualname);
        msg = PyString_FromFormat("coroutine '%.50s' was never awaited", cname);
        if (unlikely(!msg)) {
            PyErr_Clear();
            cmsg = (char*) "coroutine was never awaited";
        } else {
            cmsg = PyString_AS_STRING(msg);
        }
        #endif
        if (unlikely(PyErr_WarnEx(PyExc_RuntimeWarning, cmsg, 1) < 0))
            PyErr_WriteUnraisable(self);
        Py_XDECREF(msg);}
#endif
        PyObject_GC_Track(self);
        }
#endif
    } else {
        PyObject *res = __Pyx_Coroutine_Close(self);
        if (unlikely(!res)) {
            if (PyErr_Occurred())
                PyErr_WriteUnraisable(self);
        } else {
            Py_DECREF(res);
        }
    }
    __Pyx_ErrRestore(error_type, error_value, error_traceback);
#if !CYTHON_USE_TP_FINALIZE
    assert(Py_REFCNT(self) > 0);
    if (likely(--self->ob_refcnt == 0)) {
        return;
    }
    {
        Py_ssize_t refcnt = Py_REFCNT(self);
        _Py_NewReference(self);
        __Pyx_SET_REFCNT(self, refcnt);
    }
#if CYTHON_COMPILING_IN_CPYTHON
    assert(PyType_IS_GC(Py_TYPE(self)) &&
           _Py_AS_GC(self)->gc.gc_refs != _PyGC_REFS_UNTRACKED);
    _Py_DEC_REFTOTAL;
#endif
#ifdef COUNT_ALLOCS
    --Py_TYPE(self)->tp_frees;
    --Py_TYPE(self)->tp_allocs;
#endif
#endif
}
static PyObject *
__Pyx_Coroutine_get_name(__pyx_CoroutineObject *self, void *context)
{
    PyObject *name = self->gi_name;
    CYTHON_UNUSED_VAR(context);
    if (unlikely(!name)) name = Py_None;
    Py_INCREF(name);
    return name;
}
static int
__Pyx_Coroutine_set_name(__pyx_CoroutineObject *self, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
#if PY_MAJOR_VERSION >= 3
    if (unlikely(value == NULL || !PyUnicode_Check(value)))
#else
    if (unlikely(value == NULL || !PyString_Check(value)))
#endif
    {
        PyErr_SetString(PyExc_TypeError,
                        "__name__ must be set to a string object");
        return -1;
    }
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(self->gi_name, value);
    return 0;
}
static PyObject *
__Pyx_Coroutine_get_qualname(__pyx_CoroutineObject *self, void *context)
{
    PyObject *name = self->gi_qualname;
    CYTHON_UNUSED_VAR(context);
    if (unlikely(!name)) name = Py_None;
    Py_INCREF(name);
    return name;
}
static int
__Pyx_Coroutine_set_qualname(__pyx_CoroutineObject *self, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
#if PY_MAJOR_VERSION >= 3
    if (unlikely(value == NULL || !PyUnicode_Check(value)))
#else
    if (unlikely(value == NULL || !PyString_Check(value)))
#endif
    {
        PyErr_SetString(PyExc_TypeError,
                        "__qualname__ must be set to a string object");
        return -1;
    }
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(self->gi_qualname, value);
    return 0;
}
static PyObject *
__Pyx_Coroutine_get_frame(__pyx_CoroutineObject *self, void *context)
{
    PyObject *frame = self->gi_frame;
    CYTHON_UNUSED_VAR(context);
    if (!frame) {
        if (unlikely(!self->gi_code)) {
            Py_RETURN_NONE;
        }
        frame = (PyObject *) PyFrame_New(
            PyThreadState_Get(),            /*PyThreadState *tstate,*/
            (PyCodeObject*) self->gi_code,  /*PyCodeObject *code,*/
            __pyx_d,                 /*PyObject *globals,*/
            0                               /*PyObject *locals*/
        );
        if (unlikely(!frame))
            return NULL;
        self->gi_frame = frame;
    }
    Py_INCREF(frame);
    return frame;
}
static __pyx_CoroutineObject *__Pyx__Coroutine_New(
            PyTypeObject* type, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
            PyObject *name, PyObject *qualname, PyObject *module_name) {
    __pyx_CoroutineObject *gen = PyObject_GC_New(__pyx_CoroutineObject, type);
    if (unlikely(!gen))
        return NULL;
    return __Pyx__Coroutine_NewInit(gen, body, code, closure, name, qualname, module_name);
}
static __pyx_CoroutineObject *__Pyx__Coroutine_NewInit(
            __pyx_CoroutineObject *gen, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
            PyObject *name, PyObject *qualname, PyObject *module_name) {
    gen->body = body;
    gen->closure = closure;
    Py_XINCREF(closure);
    gen->is_running = 0;
    gen->resume_label = 0;
    gen->classobj = NULL;
    gen->yieldfrom = NULL;
    #if PY_VERSION_HEX >= 0x030B00a4
    gen->gi_exc_state.exc_value = NULL;
    #else
    gen->gi_exc_state.exc_type = NULL;
    gen->gi_exc_state.exc_value = NULL;
    gen->gi_exc_state.exc_traceback = NULL;
    #endif
#if CYTHON_USE_EXC_INFO_STACK
    gen->gi_exc_state.previous_item = NULL;
#endif
    gen->gi_weakreflist = NULL;
    Py_XINCREF(qualname);
    gen->gi_qualname = qualname;
    Py_XINCREF(name);
    gen->gi_name = name;
    Py_XINCREF(module_name);
    gen->gi_modulename = module_name;
    Py_XINCREF(code);
    gen->gi_code = code;
    gen->gi_frame = NULL;
    PyObject_GC_Track(gen);
    return gen;
}

/* PyObject_GenericGetAttrNoDict */
#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
static PyObject *__Pyx_RaiseGenericGetAttributeError(PyTypeObject *tp, PyObject *attr_name) {
    __Pyx_TypeName type_name = __Pyx_PyType_GetName(tp);
    PyErr_Format(PyExc_AttributeError,
#if PY_MAJOR_VERSION >= 3
                 "'" __Pyx_FMT_TYPENAME "' object has no attribute '%U'",
                 type_name, attr_name);
#else
                 "'" __Pyx_FMT_TYPENAME "' object has no attribute '%.400s'",
                 type_name, PyString_AS_STRING(attr_name));
#endif
    __Pyx_DECREF_TypeName(type_name);
    return NULL;
}
static CYTHON_INLINE PyObject* __Pyx_PyObject_GenericGetAttrNoDict(PyObject* obj, PyObject* attr_name) {
    PyObject *descr;
    PyTypeObject *tp = Py_TYPE(obj);
    if (unlikely(!PyString_Check(attr_name))) {
        return PyObject_GenericGetAttr(obj, attr_name);
    }
    assert(!tp->tp_dictoffset);
    descr = _PyType_Lookup(tp, attr_name);
    if (unlikely(!descr)) {
        return __Pyx_RaiseGenericGetAttributeError(tp, attr_name);
    }
    Py_INCREF(descr);
    #if PY_MAJOR_VERSION < 3
    if (likely(PyType_HasFeature(Py_TYPE(descr), Py_TPFLAGS_HAVE_CLASS)))
    #endif
    {
        descrgetfunc f = Py_TYPE(descr)->tp_descr_get;
        if (unlikely(f)) {
            PyObject *res = f(descr, obj, (PyObject *)tp);
            Py_DECREF(descr);
            return res;
        }
    }
    return descr;
}
#endif

/* PatchModuleWithCoroutine */
static PyObject* __Pyx_Coroutine_patch_module(PyObject* module, const char* py_code) {
#if defined(__Pyx_Generator_USED) || defined(__Pyx_Coroutine_USED)
    int result;
    PyObject *globals, *result_obj;
    globals = PyDict_New();  if (unlikely(!globals)) goto ignore;
    result = PyDict_SetItemString(globals, "_cython_coroutine_type",
    #ifdef __Pyx_Coroutine_USED
        (PyObject*)__pyx_CoroutineType);
    #else
        Py_None);
    #endif
    if (unlikely(result < 0)) goto ignore;
    result = PyDict_SetItemString(globals, "_cython_generator_type",
    #ifdef __Pyx_Generator_USED
        (PyObject*)__pyx_GeneratorType);
    #else
        Py_None);
    #endif
    if (unlikely(result < 0)) goto ignore;
    if (unlikely(PyDict_SetItemString(globals, "_module", module) < 0)) goto ignore;
    if (unlikely(PyDict_SetItemString(globals, "__builtins__", __pyx_b) < 0)) goto ignore;
    result_obj = PyRun_String(py_code, Py_file_input, globals, globals);
    if (unlikely(!result_obj)) goto ignore;
    Py_DECREF(result_obj);
    Py_DECREF(globals);
    return module;
ignore:
    Py_XDECREF(globals);
    PyErr_WriteUnraisable(module);
    if (unlikely(PyErr_WarnEx(PyExc_RuntimeWarning, "Cython module failed to patch module with custom type", 1) < 0)) {
        Py_DECREF(module);
        module = NULL;
    }
#else
    py_code++;
#endif
    return module;
}

/* PatchGeneratorABC */
#ifndef CYTHON_REGISTER_ABCS
#define CYTHON_REGISTER_ABCS 1
#endif
#if defined(__Pyx_Generator_USED) || defined(__Pyx_Coroutine_USED)
static PyObject* __Pyx_patch_abc_module(PyObject *module);
static PyObject* __Pyx_patch_abc_module(PyObject *module) {
    module = __Pyx_Coroutine_patch_module(
        module, ""
"if _cython_generator_type is not None:\n"
"    try: Generator = _module.Generator\n"
"    except AttributeError: pass\n"
"    else: Generator.register(_cython_generator_type)\n"
"if _cython_coroutine_type is not None:\n"
"    try: Coroutine = _module.Coroutine\n"
"    except AttributeError: pass\n"
"    else: Coroutine.register(_cython_coroutine_type)\n"
    );
    return module;
}
#endif
static int __Pyx_patch_abc(void) {
#if defined(__Pyx_Generator_USED) || defined(__Pyx_Coroutine_USED)
    static int abc_patched = 0;
    if (CYTHON_REGISTER_ABCS && !abc_patched) {
        PyObject *module;
        module = PyImport_ImportModule((PY_MAJOR_VERSION >= 3) ? "collections.abc" : "collections");
        if (unlikely(!module)) {
            PyErr_WriteUnraisable(NULL);
            if (unlikely(PyErr_WarnEx(PyExc_RuntimeWarning,
                    ((PY_MAJOR_VERSION >= 3) ?
                        "Cython module failed to register with collections.abc module" :
                        "Cython module failed to register with collections module"), 1) < 0)) {
                return -1;
            }
        } else {
            module = __Pyx_patch_abc_module(module);
            abc_patched = 1;
            if (unlikely(!module))
                return -1;
            Py_DECREF(module);
        }
        module = PyImport_ImportModule("backports_abc");
        if (module) {
            module = __Pyx_patch_abc_module(module);
            Py_XDECREF(module);
        }
        if (!module) {
            PyErr_Clear();
        }
    }
#else
    if ((0)) __Pyx_Coroutine_patch_module(NULL, NULL);
#endif
    return 0;
}

/* Generator */
static PyMethodDef __pyx_Generator_methods[] = {
    {"send", (PyCFunction) __Pyx_Coroutine_Send, METH_O,
     (char*) PyDoc_STR("send(arg) -> send 'arg' into generator,\nreturn next yielded value or raise StopIteration.")},
    {"throw", (PyCFunction) __Pyx_Coroutine_Throw, METH_VARARGS,
     (char*) PyDoc_STR("throw(typ[,val[,tb]]) -> raise exception in generator,\nreturn next yielded value or raise StopIteration.")},
    {"close", (PyCFunction) __Pyx_Coroutine_Close_Method, METH_NOARGS,
     (char*) PyDoc_STR("close() -> raise GeneratorExit inside generator.")},
    {0, 0, 0, 0}
};
static PyMemberDef __pyx_Generator_memberlist[] = {
    {(char *) "gi_running", T_BOOL, offsetof(__pyx_CoroutineObject, is_running), READONLY, NULL},
    {(char*) "gi_yieldfrom", T_OBJECT, offsetof(__pyx_CoroutineObject, yieldfrom), READONLY,
     (char*) PyDoc_STR("object being iterated by 'yield from', or None")},
    {(char*) "gi_code", T_OBJECT, offsetof(__pyx_CoroutineObject, gi_code), READONLY, NULL},
    {(char *) "__module__", T_OBJECT, offsetof(__pyx_CoroutineObject, gi_modulename), 0, 0},
#if CYTHON_USE_TYPE_SPECS
    {(char *) "__weaklistoffset__", T_PYSSIZET, offsetof(__pyx_CoroutineObject, gi_weakreflist), READONLY, 0},
#endif
    {0, 0, 0, 0, 0}
};
static PyGetSetDef __pyx_Generator_getsets[] = {
    {(char *) "__name__", (getter)__Pyx_Coroutine_get_name, (setter)__Pyx_Coroutine_set_name,
     (char*) PyDoc_STR("name of the generator"), 0},
    {(char *) "__qualname__", (getter)__Pyx_Coroutine_get_qualname, (setter)__Pyx_Coroutine_set_qualname,
     (char*) PyDoc_STR("qualified name of the generator"), 0},
    {(char *) "gi_frame", (getter)__Pyx_Coroutine_get_frame, NULL,
     (char*) PyDoc_STR("Frame of the generator"), 0},
    {0, 0, 0, 0, 0}
};
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_GeneratorType_slots[] = {
    {Py_tp_dealloc, (void *)__Pyx_Coroutine_dealloc},
    {Py_tp_traverse, (void *)__Pyx_Coroutine_traverse},
    {Py_tp_iter, (void *)PyObject_SelfIter},
    {Py_tp_iternext, (void *)__Pyx_Generator_Next},
    {Py_tp_methods, (void *)__pyx_Generator_methods},
    {Py_tp_members, (void *)__pyx_Generator_memberlist},
    {Py_tp_getset, (void *)__pyx_Generator_getsets},
    {Py_tp_getattro, (void *) __Pyx_PyObject_GenericGetAttrNoDict},
#if CYTHON_USE_TP_FINALIZE
    {Py_tp_finalize, (void *)__Pyx_Coroutine_del},
#endif
    {0, 0},
};
static PyType_Spec __pyx_GeneratorType_spec = {
    __PYX_TYPE_MODULE_PREFIX "generator",
    sizeof(__pyx_CoroutineObject),
    0,
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_HAVE_FINALIZE,
    __pyx_GeneratorType_slots
};
#else
static PyTypeObject __pyx_GeneratorType_type = {
    PyVarObject_HEAD_INIT(0, 0)
    __PYX_TYPE_MODULE_PREFIX "generator",
    sizeof(__pyx_CoroutineObject),
    0,
    (destructor) __Pyx_Coroutine_dealloc,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_HAVE_FINALIZE,
    0,
    (traverseproc) __Pyx_Coroutine_traverse,
    0,
    0,
    offsetof(__pyx_CoroutineObject, gi_weakreflist),
    0,
    (iternextfunc) __Pyx_Generator_Next,
    __pyx_Generator_methods,
    __pyx_Generator_memberlist,
    __pyx_Generator_getsets,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
#if CYTHON_USE_TP_FINALIZE
    0,
#else
    __Pyx_Coroutine_del,
#endif
    0,
#if CYTHON_USE_TP_FINALIZE
    __Pyx_Coroutine_del,
#elif PY_VERSION_HEX >= 0x030400a1
    0,
#endif
#if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
    0,
#endif
#if __PYX_NEED_TP_PRINT_SLOT
    0,
#endif
#if PY_VERSION_HEX >= 0x030C0000
    0,
#endif
#if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
    0,
#endif
};
#endif
static int __pyx_Generator_init(PyObject *module) {
#if CYTHON_USE_TYPE_SPECS
    __pyx_GeneratorType = __Pyx_FetchCommonTypeFromSpec(module, &__pyx_GeneratorType_spec, NULL);
#else
    CYTHON_UNUSED_VAR(module);
    __pyx_GeneratorType_type.tp_getattro = __Pyx_PyObject_GenericGetAttrNoDict;
    __pyx_GeneratorType_type.tp_iter = PyObject_SelfIter;
    __pyx_GeneratorType = __Pyx_FetchCommonType(&__pyx_GeneratorType_type);
#endif
    if (unlikely(!__pyx_GeneratorType)) {
        return -1;
    }
    return 0;
}

/* GeneratorYieldFrom */
#if CYTHON_USE_TYPE_SLOTS
static void __Pyx_PyIter_CheckErrorAndDecref(PyObject *source) {
    __Pyx_TypeName source_type_name = __Pyx_PyType_GetName(Py_TYPE(source));
    PyErr_Format(PyExc_TypeError,
        "iter() returned non-iterator of type '" __Pyx_FMT_TYPENAME "'", source_type_name);
    __Pyx_DECREF_TypeName(source_type_name);
    Py_DECREF(source);
}
#endif
static CYTHON_INLINE PyObject* __Pyx_Generator_Yield_From(__pyx_CoroutineObject *gen, PyObject *source) {
    PyObject *source_gen, *retval;
#ifdef __Pyx_Coroutine_USED
    if (__Pyx_Coroutine_Check(source)) {
        Py_INCREF(source);
        source_gen = source;
        retval = __Pyx_Generator_Next(source);
    } else
#endif
    {
#if CYTHON_USE_TYPE_SLOTS
        if (likely(Py_TYPE(source)->tp_iter)) {
            source_gen = Py_TYPE(source)->tp_iter(source);
            if (unlikely(!source_gen))
                return NULL;
            if (unlikely(!PyIter_Check(source_gen))) {
                __Pyx_PyIter_CheckErrorAndDecref(source_gen);
                return NULL;
            }
        } else
#endif
        {
            source_gen = PyObject_GetIter(source);
            if (unlikely(!source_gen))
                return NULL;
        }
        retval = __Pyx_PyObject_GetIterNextFunc(source_gen)(source_gen);
    }
    if (likely(retval)) {
        gen->yieldfrom = source_gen;
        return retval;
    }
    Py_DECREF(source_gen);
    return NULL;
}

/* append */
static CYTHON_INLINE int __Pyx_PyObject_Append(PyObject* L, PyObject* x) {
    if (likely(PyList_CheckExact(L))) {
        if (unlikely(__Pyx_PyList_Append(L, x) < 0)) return -1;
    } else {
        PyObject* retval = __Pyx_PyObject_CallMethod1(L, __pyx_n_s_append, x);
        if (unlikely(!retval))
            return -1;
        Py_DECREF(retval);
    }
    return 0;
}

/* PyIntBinop */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_AddObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check) {
    CYTHON_MAYBE_UNUSED_VAR(intval);
    CYTHON_MAYBE_UNUSED_VAR(inplace);
    CYTHON_UNUSED_VAR(zerodivision_check);
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long x;
        long a = PyInt_AS_LONG(op1);
        
            x = (long)((unsigned long)a + (unsigned long)b);
            if (likely((x^a) >= 0 || (x^b) >= 0))
                return PyInt_FromLong(x);
            return PyLong_Type.tp_as_number->nb_add(op1, op2);
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        const long b = intval;
        long a, x;
#ifdef HAVE_LONG_LONG
        const PY_LONG_LONG llb = intval;
        PY_LONG_LONG lla, llx;
#endif
        if (unlikely(__Pyx_PyLong_IsZero(op1))) {
            return __Pyx_NewRef(op2);
        }
        if (likely(__Pyx_PyLong_IsCompact(op1))) {
            a = __Pyx_PyLong_CompactValue(op1);
        } else {
            const digit* digits = __Pyx_PyLong_Digits(op1);
            const Py_ssize_t size = __Pyx_PyLong_SignedDigitCount(op1);
            switch (size) {
                case -2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                case 2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                case -3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                case 3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                case -4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                case 4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                default: return PyLong_Type.tp_as_number->nb_add(op1, op2);
            }
        }
                x = a + b;
            return PyLong_FromLong(x);
#ifdef HAVE_LONG_LONG
        long_long:
                llx = lla + llb;
            return PyLong_FromLongLong(llx);
#endif
        
        
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
#if CYTHON_COMPILING_IN_LIMITED_API
        double a = __pyx_PyFloat_AsDouble(op1);
#else
        double a = PyFloat_AS_DOUBLE(op1);
#endif
            double result;
            
            PyFPE_START_PROTECT("add", return NULL)
            result = ((double)a) + (double)b;
            PyFPE_END_PROTECT(result)
            return PyFloat_FromDouble(result);
    }
    return (inplace ? PyNumber_InPlaceAdd : PyNumber_Add)(op1, op2);
}
#endif

/* py_abs */
#if CYTHON_USE_PYLONG_INTERNALS
static PyObject *__Pyx_PyLong_AbsNeg(PyObject *n) {
#if PY_VERSION_HEX >= 0x030C00A7
    if (likely(__Pyx_PyLong_IsCompact(n))) {
        return PyLong_FromSize_t(__Pyx_PyLong_CompactValueUnsigned(n));
    }
#else
    if (likely(Py_SIZE(n) == -1)) {
        return PyLong_FromUnsignedLong(__Pyx_PyLong_Digits(n)[0]);
    }
#endif
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030d0000
    {
        PyObject *copy = _PyLong_Copy((PyLongObject*)n);
        if (likely(copy)) {
            #if PY_VERSION_HEX >= 0x030C00A7
            ((PyLongObject*)copy)->long_value.lv_tag = ((PyLongObject*)copy)->long_value.lv_tag & ~_PyLong_SIGN_MASK;
            #else
            __Pyx_SET_SIZE(copy, -Py_SIZE(copy));
            #endif
        }
        return copy;
    }
#else
    return PyNumber_Negative(n);
#endif
}
#endif

/* PyFloatBinop */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyFloat_TrueDivideObjC(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check) {
    const double b = floatval;
    double a, result;
    CYTHON_UNUSED_VAR(inplace);
    CYTHON_UNUSED_VAR(zerodivision_check);
    if (likely(PyFloat_CheckExact(op1))) {
#if CYTHON_COMPILING_IN_LIMITED_API
        a = __pyx_PyFloat_AsDouble(op1);
#else
        a = PyFloat_AS_DOUBLE(op1);
#endif
        
    } else
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        a = (double) PyInt_AS_LONG(op1);
        
    } else
    #endif
    if (likely(PyLong_CheckExact(op1))) {
        #if CYTHON_USE_PYLONG_INTERNALS
        if (__Pyx_PyLong_IsZero(op1)) {
            a = 0.0;
            
        } else if (__Pyx_PyLong_IsCompact(op1)) {
            a = (double) __Pyx_PyLong_CompactValue(op1);
        } else {
            const digit* digits = __Pyx_PyLong_Digits(op1);
            const Py_ssize_t size = __Pyx_PyLong_SignedDigitCount(op1);
            switch (size) {
                case -2:
                case 2:
                    if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (1 * PyLong_SHIFT < 53))) {
                        a = (double) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        if ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                            if (size == -2)
                                a = -a;
                            break;
                        }
                    }
                    CYTHON_FALLTHROUGH;
                case -3:
                case 3:
                    if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53))) {
                        a = (double) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        if ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                            if (size == -3)
                                a = -a;
                            break;
                        }
                    }
                    CYTHON_FALLTHROUGH;
                case -4:
                case 4:
                    if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53))) {
                        a = (double) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        if ((8 * sizeof(unsigned long) < 53) || (4 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                            if (size == -4)
                                a = -a;
                            break;
                        }
                    }
                    CYTHON_FALLTHROUGH;
                default:
        #endif
                    a = PyLong_AsDouble(op1);
                    if (unlikely(a == -1.0 && PyErr_Occurred())) return NULL;
        #if CYTHON_USE_PYLONG_INTERNALS
            }
        }
        #endif
    } else {
        return (inplace ? PyNumber_InPlaceTrueDivide : PyNumber_TrueDivide)(op1, op2);
    }
        PyFPE_START_PROTECT("divide", return NULL)
        result = a / b;
        PyFPE_END_PROTECT(result)
        return PyFloat_FromDouble(result);
}
#endif

/* pybytes_as_double */
static double __Pyx_SlowPyString_AsDouble(PyObject *obj) {
    PyObject *float_value;
#if PY_MAJOR_VERSION >= 3
    float_value = PyFloat_FromString(obj);
#else
    float_value = PyFloat_FromString(obj, 0);
#endif
    if (likely(float_value)) {
#if CYTHON_ASSUME_SAFE_MACROS
        double value = PyFloat_AS_DOUBLE(float_value);
#else
        double value = PyFloat_AsDouble(float_value);
#endif
        Py_DECREF(float_value);
        return value;
    }
    return (double)-1;
}
static const char* __Pyx__PyBytes_AsDouble_Copy(const char* start, char* buffer, Py_ssize_t length) {
    int last_was_punctuation = 1;
    Py_ssize_t i;
    for (i=0; i < length; i++) {
        char chr = start[i];
        int is_punctuation = (chr == '_') | (chr == '.') | (chr == 'e') | (chr == 'E');
        *buffer = chr;
        buffer += (chr != '_');
        if (unlikely(last_was_punctuation & is_punctuation)) goto parse_failure;
        last_was_punctuation = is_punctuation;
    }
    if (unlikely(last_was_punctuation)) goto parse_failure;
    *buffer = '\0';
    return buffer;
parse_failure:
    return NULL;
}
static double __Pyx__PyBytes_AsDouble_inf_nan(const char* start, Py_ssize_t length) {
    int matches = 1;
    char sign = start[0];
    int is_signed = (sign == '+') | (sign == '-');
    start += is_signed;
    length -= is_signed;
    switch (start[0]) {
        #ifdef Py_NAN
        case 'n':
        case 'N':
            if (unlikely(length != 3)) goto parse_failure;
            matches &= (start[1] == 'a' || start[1] == 'A');
            matches &= (start[2] == 'n' || start[2] == 'N');
            if (unlikely(!matches)) goto parse_failure;
            return (sign == '-') ? -Py_NAN : Py_NAN;
        #endif
        case 'i':
        case 'I':
            if (unlikely(length < 3)) goto parse_failure;
            matches &= (start[1] == 'n' || start[1] == 'N');
            matches &= (start[2] == 'f' || start[2] == 'F');
            if (likely(length == 3 && matches))
                return (sign == '-') ? -Py_HUGE_VAL : Py_HUGE_VAL;
            if (unlikely(length != 8)) goto parse_failure;
            matches &= (start[3] == 'i' || start[3] == 'I');
            matches &= (start[4] == 'n' || start[4] == 'N');
            matches &= (start[5] == 'i' || start[5] == 'I');
            matches &= (start[6] == 't' || start[6] == 'T');
            matches &= (start[7] == 'y' || start[7] == 'Y');
            if (unlikely(!matches)) goto parse_failure;
            return (sign == '-') ? -Py_HUGE_VAL : Py_HUGE_VAL;
        case '.': case '0': case '1': case '2': case '3': case '4': case '5': case '6': case '7': case '8': case '9':
            break;
        default:
            goto parse_failure;
    }
    return 0.0;
parse_failure:
    return -1.0;
}
static CYTHON_INLINE int __Pyx__PyBytes_AsDouble_IsSpace(char ch) {
    return (ch == 0x20) | !((ch < 0x9) | (ch > 0xd));
}
CYTHON_UNUSED static double __Pyx__PyBytes_AsDouble(PyObject *obj, const char* start, Py_ssize_t length) {
    double value;
    Py_ssize_t i, digits;
    const char *last = start + length;
    char *end;
    while (__Pyx__PyBytes_AsDouble_IsSpace(*start))
        start++;
    while (start < last - 1 && __Pyx__PyBytes_AsDouble_IsSpace(last[-1]))
        last--;
    length = last - start;
    if (unlikely(length <= 0)) goto fallback;
    value = __Pyx__PyBytes_AsDouble_inf_nan(start, length);
    if (unlikely(value == -1.0)) goto fallback;
    if (value != 0.0) return value;
    digits = 0;
    for (i=0; i < length; digits += start[i++] != '_');
    if (likely(digits == length)) {
        value = PyOS_string_to_double(start, &end, NULL);
    } else if (digits < 40) {
        char number[40];
        last = __Pyx__PyBytes_AsDouble_Copy(start, number, length);
        if (unlikely(!last)) goto fallback;
        value = PyOS_string_to_double(number, &end, NULL);
    } else {
        char *number = (char*) PyMem_Malloc((digits + 1) * sizeof(char));
        if (unlikely(!number)) goto fallback;
        last = __Pyx__PyBytes_AsDouble_Copy(start, number, length);
        if (unlikely(!last)) {
            PyMem_Free(number);
            goto fallback;
        }
        value = PyOS_string_to_double(number, &end, NULL);
        PyMem_Free(number);
    }
    if (likely(end == last) || (value == (double)-1 && PyErr_Occurred())) {
        return value;
    }
fallback:
    return __Pyx_SlowPyString_AsDouble(obj);
}

/* pynumber_float */
static CYTHON_INLINE PyObject* __Pyx__PyNumber_Float(PyObject* obj) {
    double val;
    if (PyLong_CheckExact(obj)) {
#if CYTHON_USE_PYLONG_INTERNALS
        if (likely(__Pyx_PyLong_IsCompact(obj))) {
            val = (double) __Pyx_PyLong_CompactValue(obj);
            goto no_error;
        }
#endif
        val = PyLong_AsDouble(obj);
    } else if (PyUnicode_CheckExact(obj)) {
        val = __Pyx_PyUnicode_AsDouble(obj);
    } else if (PyBytes_CheckExact(obj)) {
        val = __Pyx_PyBytes_AsDouble(obj);
    } else if (PyByteArray_CheckExact(obj)) {
        val = __Pyx_PyByteArray_AsDouble(obj);
    } else {
        return PyNumber_Float(obj);
    }
    if (unlikely(val == -1 && PyErr_Occurred())) {
        return NULL;
    }
#if CYTHON_USE_PYLONG_INTERNALS
no_error:
#endif
    return PyFloat_FromDouble(val);
}

/* PyFloatBinop */
#if !CYTHON_COMPILING_IN_PYPY
static int __Pyx_PyFloat_BoolEqObjC(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check) {
    const double b = floatval;
    double a;
    CYTHON_UNUSED_VAR(inplace);
    CYTHON_UNUSED_VAR(zerodivision_check);
    if (op1 == op2) {
        return 1;
    }
    if (likely(PyFloat_CheckExact(op1))) {
#if CYTHON_COMPILING_IN_LIMITED_API
        a = __pyx_PyFloat_AsDouble(op1);
#else
        a = PyFloat_AS_DOUBLE(op1);
#endif
        
    } else
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        a = (double) PyInt_AS_LONG(op1);
        
    } else
    #endif
    if (likely(PyLong_CheckExact(op1))) {
        #if CYTHON_USE_PYLONG_INTERNALS
        if (__Pyx_PyLong_IsZero(op1)) {
            a = 0.0;
            
        } else if (__Pyx_PyLong_IsCompact(op1)) {
            a = (double) __Pyx_PyLong_CompactValue(op1);
        } else {
            const digit* digits = __Pyx_PyLong_Digits(op1);
            const Py_ssize_t size = __Pyx_PyLong_SignedDigitCount(op1);
            switch (size) {
                case -2:
                case 2:
                    if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (1 * PyLong_SHIFT < 53))) {
                        a = (double) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        if ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                            if (size == -2)
                                a = -a;
                            break;
                        }
                    }
                    CYTHON_FALLTHROUGH;
                case -3:
                case 3:
                    if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53))) {
                        a = (double) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        if ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                            if (size == -3)
                                a = -a;
                            break;
                        }
                    }
                    CYTHON_FALLTHROUGH;
                case -4:
                case 4:
                    if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53))) {
                        a = (double) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        if ((8 * sizeof(unsigned long) < 53) || (4 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                            if (size == -4)
                                a = -a;
                            break;
                        }
                    }
                    CYTHON_FALLTHROUGH;
                default:
        #endif
                    return __Pyx_PyObject_IsTrueAndDecref(
                        PyFloat_Type.tp_richcompare(op2, op1, Py_EQ));
        #if CYTHON_USE_PYLONG_INTERNALS
            }
        }
        #endif
    } else {
        return __Pyx_PyObject_IsTrueAndDecref(
            PyObject_RichCompare(op1, op2, Py_EQ));
    }
        if (a == b) {
            return 1;
        } else {
            return 0;
        }
}
#endif

/* PyIntBinop */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_SubtractCObj(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check) {
    CYTHON_MAYBE_UNUSED_VAR(intval);
    CYTHON_MAYBE_UNUSED_VAR(inplace);
    CYTHON_UNUSED_VAR(zerodivision_check);
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op2))) {
        const long a = intval;
        long x;
        long b = PyInt_AS_LONG(op2);
        
            x = (long)((unsigned long)a - (unsigned long)b);
            if (likely((x^a) >= 0 || (x^~b) >= 0))
                return PyInt_FromLong(x);
            return PyLong_Type.tp_as_number->nb_subtract(op1, op2);
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op2))) {
        const long a = intval;
        long b, x;
#ifdef HAVE_LONG_LONG
        const PY_LONG_LONG lla = intval;
        PY_LONG_LONG llb, llx;
#endif
        if (unlikely(__Pyx_PyLong_IsZero(op2))) {
            return __Pyx_NewRef(op1);
        }
        if (likely(__Pyx_PyLong_IsCompact(op2))) {
            b = __Pyx_PyLong_CompactValue(op2);
        } else {
            const digit* digits = __Pyx_PyLong_Digits(op2);
            const Py_ssize_t size = __Pyx_PyLong_SignedDigitCount(op2);
            switch (size) {
                case -2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        b = -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        llb = -(PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                case 2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        b = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        llb = (PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                case -3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        b = -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        llb = -(PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                case 3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        b = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        llb = (PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                case -4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        b = -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        llb = -(PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                case 4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        b = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        llb = (PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                default: return PyLong_Type.tp_as_number->nb_subtract(op1, op2);
            }
        }
                x = a - b;
            return PyLong_FromLong(x);
#ifdef HAVE_LONG_LONG
        long_long:
                llx = lla - llb;
            return PyLong_FromLongLong(llx);
#endif
        
        
    }
    #endif
    if (PyFloat_CheckExact(op2)) {
        const long a = intval;
#if CYTHON_COMPILING_IN_LIMITED_API
        double b = __pyx_PyFloat_AsDouble(op2);
#else
        double b = PyFloat_AS_DOUBLE(op2);
#endif
            double result;
            
            PyFPE_START_PROTECT("subtract", return NULL)
            result = ((double)a) - (double)b;
            PyFPE_END_PROTECT(result)
            return PyFloat_FromDouble(result);
    }
    return (inplace ? PyNumber_InPlaceSubtract : PyNumber_Subtract)(op1, op2);
}
#endif

/* RaiseClosureNameError */
static CYTHON_INLINE void __Pyx_RaiseClosureNameError(const char *varname) {
    PyErr_Format(PyExc_NameError, "free variable '%s' referenced before assignment in enclosing scope", varname);
}

/* PyVectorcallFastCallDict */
#if CYTHON_METH_FASTCALL
static PyObject *__Pyx_PyVectorcall_FastCallDict_kw(PyObject *func, __pyx_vectorcallfunc vc, PyObject *const *args, size_t nargs, PyObject *kw)
{
    PyObject *res = NULL;
    PyObject *kwnames;
    PyObject **newargs;
    PyObject **kwvalues;
    Py_ssize_t i, pos;
    size_t j;
    PyObject *key, *value;
    unsigned long keys_are_strings;
    Py_ssize_t nkw = PyDict_GET_SIZE(kw);
    newargs = (PyObject **)PyMem_Malloc((nargs + (size_t)nkw) * sizeof(args[0]));
    if (unlikely(newargs == NULL)) {
        PyErr_NoMemory();
        return NULL;
    }
    for (j = 0; j < nargs; j++) newargs[j] = args[j];
    kwnames = PyTuple_New(nkw);
    if (unlikely(kwnames == NULL)) {
        PyMem_Free(newargs);
        return NULL;
    }
    kwvalues = newargs + nargs;
    pos = i = 0;
    keys_are_strings = Py_TPFLAGS_UNICODE_SUBCLASS;
    while (PyDict_Next(kw, &pos, &key, &value)) {
        keys_are_strings &= Py_TYPE(key)->tp_flags;
        Py_INCREF(key);
        Py_INCREF(value);
        PyTuple_SET_ITEM(kwnames, i, key);
        kwvalues[i] = value;
        i++;
    }
    if (unlikely(!keys_are_strings)) {
        PyErr_SetString(PyExc_TypeError, "keywords must be strings");
        goto cleanup;
    }
    res = vc(func, newargs, nargs, kwnames);
cleanup:
    Py_DECREF(kwnames);
    for (i = 0; i < nkw; i++)
        Py_DECREF(kwvalues[i]);
    PyMem_Free(newargs);
    return res;
}
static CYTHON_INLINE PyObject *__Pyx_PyVectorcall_FastCallDict(PyObject *func, __pyx_vectorcallfunc vc, PyObject *const *args, size_t nargs, PyObject *kw)
{
    if (likely(kw == NULL) || PyDict_GET_SIZE(kw) == 0) {
        return vc(func, args, nargs, NULL);
    }
    return __Pyx_PyVectorcall_FastCallDict_kw(func, vc, args, nargs, kw);
}
#endif

/* CythonFunctionShared */
#if CYTHON_COMPILING_IN_LIMITED_API
static CYTHON_INLINE int __Pyx__IsSameCyOrCFunction(PyObject *func, void *cfunc) {
    if (__Pyx_CyFunction_Check(func)) {
        return PyCFunction_GetFunction(((__pyx_CyFunctionObject*)func)->func) == (PyCFunction) cfunc;
    } else if (PyCFunction_Check(func)) {
        return PyCFunction_GetFunction(func) == (PyCFunction) cfunc;
    }
    return 0;
}
#else
static CYTHON_INLINE int __Pyx__IsSameCyOrCFunction(PyObject *func, void *cfunc) {
    return __Pyx_CyOrPyCFunction_Check(func) && __Pyx_CyOrPyCFunction_GET_FUNCTION(func) == (PyCFunction) cfunc;
}
#endif
static CYTHON_INLINE void __Pyx__CyFunction_SetClassObj(__pyx_CyFunctionObject* f, PyObject* classobj) {
#if PY_VERSION_HEX < 0x030900B1 || CYTHON_COMPILING_IN_LIMITED_API
    __Pyx_Py_XDECREF_SET(
        __Pyx_CyFunction_GetClassObj(f),
            ((classobj) ? __Pyx_NewRef(classobj) : NULL));
#else
    __Pyx_Py_XDECREF_SET(
        ((PyCMethodObject *) (f))->mm_class,
        (PyTypeObject*)((classobj) ? __Pyx_NewRef(classobj) : NULL));
#endif
}
static PyObject *
__Pyx_CyFunction_get_doc(__pyx_CyFunctionObject *op, void *closure)
{
    CYTHON_UNUSED_VAR(closure);
    if (unlikely(op->func_doc == NULL)) {
#if CYTHON_COMPILING_IN_LIMITED_API
        op->func_doc = PyObject_GetAttrString(op->func, "__doc__");
        if (unlikely(!op->func_doc)) return NULL;
#else
        if (((PyCFunctionObject*)op)->m_ml->ml_doc) {
#if PY_MAJOR_VERSION >= 3
            op->func_doc = PyUnicode_FromString(((PyCFunctionObject*)op)->m_ml->ml_doc);
#else
            op->func_doc = PyString_FromString(((PyCFunctionObject*)op)->m_ml->ml_doc);
#endif
            if (unlikely(op->func_doc == NULL))
                return NULL;
        } else {
            Py_INCREF(Py_None);
            return Py_None;
        }
#endif
    }
    Py_INCREF(op->func_doc);
    return op->func_doc;
}
static int
__Pyx_CyFunction_set_doc(__pyx_CyFunctionObject *op, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
    if (value == NULL) {
        value = Py_None;
    }
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(op->func_doc, value);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_name(__pyx_CyFunctionObject *op, void *context)
{
    CYTHON_UNUSED_VAR(context);
    if (unlikely(op->func_name == NULL)) {
#if CYTHON_COMPILING_IN_LIMITED_API
        op->func_name = PyObject_GetAttrString(op->func, "__name__");
#elif PY_MAJOR_VERSION >= 3
        op->func_name = PyUnicode_InternFromString(((PyCFunctionObject*)op)->m_ml->ml_name);
#else
        op->func_name = PyString_InternFromString(((PyCFunctionObject*)op)->m_ml->ml_name);
#endif
        if (unlikely(op->func_name == NULL))
            return NULL;
    }
    Py_INCREF(op->func_name);
    return op->func_name;
}
static int
__Pyx_CyFunction_set_name(__pyx_CyFunctionObject *op, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
#if PY_MAJOR_VERSION >= 3
    if (unlikely(value == NULL || !PyUnicode_Check(value)))
#else
    if (unlikely(value == NULL || !PyString_Check(value)))
#endif
    {
        PyErr_SetString(PyExc_TypeError,
                        "__name__ must be set to a string object");
        return -1;
    }
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(op->func_name, value);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_qualname(__pyx_CyFunctionObject *op, void *context)
{
    CYTHON_UNUSED_VAR(context);
    Py_INCREF(op->func_qualname);
    return op->func_qualname;
}
static int
__Pyx_CyFunction_set_qualname(__pyx_CyFunctionObject *op, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
#if PY_MAJOR_VERSION >= 3
    if (unlikely(value == NULL || !PyUnicode_Check(value)))
#else
    if (unlikely(value == NULL || !PyString_Check(value)))
#endif
    {
        PyErr_SetString(PyExc_TypeError,
                        "__qualname__ must be set to a string object");
        return -1;
    }
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(op->func_qualname, value);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_dict(__pyx_CyFunctionObject *op, void *context)
{
    CYTHON_UNUSED_VAR(context);
    if (unlikely(op->func_dict == NULL)) {
        op->func_dict = PyDict_New();
        if (unlikely(op->func_dict == NULL))
            return NULL;
    }
    Py_INCREF(op->func_dict);
    return op->func_dict;
}
static int
__Pyx_CyFunction_set_dict(__pyx_CyFunctionObject *op, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
    if (unlikely(value == NULL)) {
        PyErr_SetString(PyExc_TypeError,
               "function's dictionary may not be deleted");
        return -1;
    }
    if (unlikely(!PyDict_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
               "setting function's dictionary to a non-dict");
        return -1;
    }
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(op->func_dict, value);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_globals(__pyx_CyFunctionObject *op, void *context)
{
    CYTHON_UNUSED_VAR(context);
    Py_INCREF(op->func_globals);
    return op->func_globals;
}
static PyObject *
__Pyx_CyFunction_get_closure(__pyx_CyFunctionObject *op, void *context)
{
    CYTHON_UNUSED_VAR(op);
    CYTHON_UNUSED_VAR(context);
    Py_INCREF(Py_None);
    return Py_None;
}
static PyObject *
__Pyx_CyFunction_get_code(__pyx_CyFunctionObject *op, void *context)
{
    PyObject* result = (op->func_code) ? op->func_code : Py_None;
    CYTHON_UNUSED_VAR(context);
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_init_defaults(__pyx_CyFunctionObject *op) {
    int result = 0;
    PyObject *res = op->defaults_getter((PyObject *) op);
    if (unlikely(!res))
        return -1;
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    op->defaults_tuple = PyTuple_GET_ITEM(res, 0);
    Py_INCREF(op->defaults_tuple);
    op->defaults_kwdict = PyTuple_GET_ITEM(res, 1);
    Py_INCREF(op->defaults_kwdict);
    #else
    op->defaults_tuple = __Pyx_PySequence_ITEM(res, 0);
    if (unlikely(!op->defaults_tuple)) result = -1;
    else {
        op->defaults_kwdict = __Pyx_PySequence_ITEM(res, 1);
        if (unlikely(!op->defaults_kwdict)) result = -1;
    }
    #endif
    Py_DECREF(res);
    return result;
}
static int
__Pyx_CyFunction_set_defaults(__pyx_CyFunctionObject *op, PyObject* value, void *context) {
    CYTHON_UNUSED_VAR(context);
    if (!value) {
        value = Py_None;
    } else if (unlikely(value != Py_None && !PyTuple_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__defaults__ must be set to a tuple object");
        return -1;
    }
    PyErr_WarnEx(PyExc_RuntimeWarning, "changes to cyfunction.__defaults__ will not "
                 "currently affect the values used in function calls", 1);
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(op->defaults_tuple, value);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_defaults(__pyx_CyFunctionObject *op, void *context) {
    PyObject* result = op->defaults_tuple;
    CYTHON_UNUSED_VAR(context);
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (unlikely(__Pyx_CyFunction_init_defaults(op) < 0)) return NULL;
            result = op->defaults_tuple;
        } else {
            result = Py_None;
        }
    }
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_set_kwdefaults(__pyx_CyFunctionObject *op, PyObject* value, void *context) {
    CYTHON_UNUSED_VAR(context);
    if (!value) {
        value = Py_None;
    } else if (unlikely(value != Py_None && !PyDict_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__kwdefaults__ must be set to a dict object");
        return -1;
    }
    PyErr_WarnEx(PyExc_RuntimeWarning, "changes to cyfunction.__kwdefaults__ will not "
                 "currently affect the values used in function calls", 1);
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(op->defaults_kwdict, value);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_kwdefaults(__pyx_CyFunctionObject *op, void *context) {
    PyObject* result = op->defaults_kwdict;
    CYTHON_UNUSED_VAR(context);
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (unlikely(__Pyx_CyFunction_init_defaults(op) < 0)) return NULL;
            result = op->defaults_kwdict;
        } else {
            result = Py_None;
        }
    }
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_set_annotations(__pyx_CyFunctionObject *op, PyObject* value, void *context) {
    CYTHON_UNUSED_VAR(context);
    if (!value || value == Py_None) {
        value = NULL;
    } else if (unlikely(!PyDict_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__annotations__ must be set to a dict object");
        return -1;
    }
    Py_XINCREF(value);
    __Pyx_Py_XDECREF_SET(op->func_annotations, value);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_annotations(__pyx_CyFunctionObject *op, void *context) {
    PyObject* result = op->func_annotations;
    CYTHON_UNUSED_VAR(context);
    if (unlikely(!result)) {
        result = PyDict_New();
        if (unlikely(!result)) return NULL;
        op->func_annotations = result;
    }
    Py_INCREF(result);
    return result;
}
static PyObject *
__Pyx_CyFunction_get_is_coroutine(__pyx_CyFunctionObject *op, void *context) {
    int is_coroutine;
    CYTHON_UNUSED_VAR(context);
    if (op->func_is_coroutine) {
        return __Pyx_NewRef(op->func_is_coroutine);
    }
    is_coroutine = op->flags & __Pyx_CYFUNCTION_COROUTINE;
#if PY_VERSION_HEX >= 0x03050000
    if (is_coroutine) {
        PyObject *module, *fromlist, *marker = __pyx_n_s_is_coroutine;
        fromlist = PyList_New(1);
        if (unlikely(!fromlist)) return NULL;
        Py_INCREF(marker);
#if CYTHON_ASSUME_SAFE_MACROS
        PyList_SET_ITEM(fromlist, 0, marker);
#else
        if (unlikely(PyList_SetItem(fromlist, 0, marker) < 0)) {
            Py_DECREF(marker);
            Py_DECREF(fromlist);
            return NULL;
        }
#endif
        module = PyImport_ImportModuleLevelObject(__pyx_n_s_asyncio_coroutines, NULL, NULL, fromlist, 0);
        Py_DECREF(fromlist);
        if (unlikely(!module)) goto ignore;
        op->func_is_coroutine = __Pyx_PyObject_GetAttrStr(module, marker);
        Py_DECREF(module);
        if (likely(op->func_is_coroutine)) {
            return __Pyx_NewRef(op->func_is_coroutine);
        }
ignore:
        PyErr_Clear();
    }
#endif
    op->func_is_coroutine = __Pyx_PyBool_FromLong(is_coroutine);
    return __Pyx_NewRef(op->func_is_coroutine);
}
#if CYTHON_COMPILING_IN_LIMITED_API
static PyObject *
__Pyx_CyFunction_get_module(__pyx_CyFunctionObject *op, void *context) {
    CYTHON_UNUSED_VAR(context);
    return PyObject_GetAttrString(op->func, "__module__");
}
static int
__Pyx_CyFunction_set_module(__pyx_CyFunctionObject *op, PyObject* value, void *context) {
    CYTHON_UNUSED_VAR(context);
    return PyObject_SetAttrString(op->func, "__module__", value);
}
#endif
static PyGetSetDef __pyx_CyFunction_getsets[] = {
    {(char *) "func_doc", (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {(char *) "__doc__",  (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {(char *) "func_name", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {(char *) "__name__", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {(char *) "__qualname__", (getter)__Pyx_CyFunction_get_qualname, (setter)__Pyx_CyFunction_set_qualname, 0, 0},
    {(char *) "func_dict", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},
    {(char *) "__dict__", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},
    {(char *) "func_globals", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {(char *) "__globals__", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {(char *) "func_closure", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {(char *) "__closure__", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {(char *) "func_code", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {(char *) "__code__", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {(char *) "func_defaults", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {(char *) "__defaults__", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {(char *) "__kwdefaults__", (getter)__Pyx_CyFunction_get_kwdefaults, (setter)__Pyx_CyFunction_set_kwdefaults, 0, 0},
    {(char *) "__annotations__", (getter)__Pyx_CyFunction_get_annotations, (setter)__Pyx_CyFunction_set_annotations, 0, 0},
    {(char *) "_is_coroutine", (getter)__Pyx_CyFunction_get_is_coroutine, 0, 0, 0},
#if CYTHON_COMPILING_IN_LIMITED_API
    {"__module__", (getter)__Pyx_CyFunction_get_module, (setter)__Pyx_CyFunction_set_module, 0, 0},
#endif
    {0, 0, 0, 0, 0}
};
static PyMemberDef __pyx_CyFunction_members[] = {
#if !CYTHON_COMPILING_IN_LIMITED_API
    {(char *) "__module__", T_OBJECT, offsetof(PyCFunctionObject, m_module), 0, 0},
#endif
#if CYTHON_USE_TYPE_SPECS
    {(char *) "__dictoffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_dict), READONLY, 0},
#if CYTHON_METH_FASTCALL
#if CYTHON_BACKPORT_VECTORCALL
    {(char *) "__vectorcalloffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_vectorcall), READONLY, 0},
#else
#if !CYTHON_COMPILING_IN_LIMITED_API
    {(char *) "__vectorcalloffset__", T_PYSSIZET, offsetof(PyCFunctionObject, vectorcall), READONLY, 0},
#endif
#endif
#endif
#if PY_VERSION_HEX < 0x030500A0 || CYTHON_COMPILING_IN_LIMITED_API
    {(char *) "__weaklistoffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_weakreflist), READONLY, 0},
#else
    {(char *) "__weaklistoffset__", T_PYSSIZET, offsetof(PyCFunctionObject, m_weakreflist), READONLY, 0},
#endif
#endif
    {0, 0, 0,  0, 0}
};
static PyObject *
__Pyx_CyFunction_reduce(__pyx_CyFunctionObject *m, PyObject *args)
{
    CYTHON_UNUSED_VAR(args);
#if PY_MAJOR_VERSION >= 3
    Py_INCREF(m->func_qualname);
    return m->func_qualname;
#else
    return PyString_FromString(((PyCFunctionObject*)m)->m_ml->ml_name);
#endif
}
static PyMethodDef __pyx_CyFunction_methods[] = {
    {"__reduce__", (PyCFunction)__Pyx_CyFunction_reduce, METH_VARARGS, 0},
    {0, 0, 0, 0}
};
#if PY_VERSION_HEX < 0x030500A0 || CYTHON_COMPILING_IN_LIMITED_API
#define __Pyx_CyFunction_weakreflist(cyfunc) ((cyfunc)->func_weakreflist)
#else
#define __Pyx_CyFunction_weakreflist(cyfunc) (((PyCFunctionObject*)cyfunc)->m_weakreflist)
#endif
static PyObject *__Pyx_CyFunction_Init(__pyx_CyFunctionObject *op, PyMethodDef *ml, int flags, PyObject* qualname,
                                       PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {
#if !CYTHON_COMPILING_IN_LIMITED_API
    PyCFunctionObject *cf = (PyCFunctionObject*) op;
#endif
    if (unlikely(op == NULL))
        return NULL;
#if CYTHON_COMPILING_IN_LIMITED_API
    op->func = PyCFunction_NewEx(ml, (PyObject*)op, module);
    if (unlikely(!op->func)) return NULL;
#endif
    op->flags = flags;
    __Pyx_CyFunction_weakreflist(op) = NULL;
#if !CYTHON_COMPILING_IN_LIMITED_API
    cf->m_ml = ml;
    cf->m_self = (PyObject *) op;
#endif
    Py_XINCREF(closure);
    op->func_closure = closure;
#if !CYTHON_COMPILING_IN_LIMITED_API
    Py_XINCREF(module);
    cf->m_module = module;
#endif
    op->func_dict = NULL;
    op->func_name = NULL;
    Py_INCREF(qualname);
    op->func_qualname = qualname;
    op->func_doc = NULL;
#if PY_VERSION_HEX < 0x030900B1 || CYTHON_COMPILING_IN_LIMITED_API
    op->func_classobj = NULL;
#else
    ((PyCMethodObject*)op)->mm_class = NULL;
#endif
    op->func_globals = globals;
    Py_INCREF(op->func_globals);
    Py_XINCREF(code);
    op->func_code = code;
    op->defaults_pyobjects = 0;
    op->defaults_size = 0;
    op->defaults = NULL;
    op->defaults_tuple = NULL;
    op->defaults_kwdict = NULL;
    op->defaults_getter = NULL;
    op->func_annotations = NULL;
    op->func_is_coroutine = NULL;
#if CYTHON_METH_FASTCALL
    switch (ml->ml_flags & (METH_VARARGS | METH_FASTCALL | METH_NOARGS | METH_O | METH_KEYWORDS | METH_METHOD)) {
    case METH_NOARGS:
        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_NOARGS;
        break;
    case METH_O:
        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_O;
        break;
    case METH_METHOD | METH_FASTCALL | METH_KEYWORDS:
        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS_METHOD;
        break;
    case METH_FASTCALL | METH_KEYWORDS:
        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS;
        break;
    case METH_VARARGS | METH_KEYWORDS:
        __Pyx_CyFunction_func_vectorcall(op) = NULL;
        break;
    default:
        PyErr_SetString(PyExc_SystemError, "Bad call flags for CyFunction");
        Py_DECREF(op);
        return NULL;
    }
#endif
    return (PyObject *) op;
}
static int
__Pyx_CyFunction_clear(__pyx_CyFunctionObject *m)
{
    Py_CLEAR(m->func_closure);
#if CYTHON_COMPILING_IN_LIMITED_API
    Py_CLEAR(m->func);
#else
    Py_CLEAR(((PyCFunctionObject*)m)->m_module);
#endif
    Py_CLEAR(m->func_dict);
    Py_CLEAR(m->func_name);
    Py_CLEAR(m->func_qualname);
    Py_CLEAR(m->func_doc);
    Py_CLEAR(m->func_globals);
    Py_CLEAR(m->func_code);
#if !CYTHON_COMPILING_IN_LIMITED_API
#if PY_VERSION_HEX < 0x030900B1
    Py_CLEAR(__Pyx_CyFunction_GetClassObj(m));
#else
    {
        PyObject *cls = (PyObject*) ((PyCMethodObject *) (m))->mm_class;
        ((PyCMethodObject *) (m))->mm_class = NULL;
        Py_XDECREF(cls);
    }
#endif
#endif
    Py_CLEAR(m->defaults_tuple);
    Py_CLEAR(m->defaults_kwdict);
    Py_CLEAR(m->func_annotations);
    Py_CLEAR(m->func_is_coroutine);
    if (m->defaults) {
        PyObject **pydefaults = __Pyx_CyFunction_Defaults(PyObject *, m);
        int i;
        for (i = 0; i < m->defaults_pyobjects; i++)
            Py_XDECREF(pydefaults[i]);
        PyObject_Free(m->defaults);
        m->defaults = NULL;
    }
    return 0;
}
static void __Pyx__CyFunction_dealloc(__pyx_CyFunctionObject *m)
{
    if (__Pyx_CyFunction_weakreflist(m) != NULL)
        PyObject_ClearWeakRefs((PyObject *) m);
    __Pyx_CyFunction_clear(m);
    __Pyx_PyHeapTypeObject_GC_Del(m);
}
static void __Pyx_CyFunction_dealloc(__pyx_CyFunctionObject *m)
{
    PyObject_GC_UnTrack(m);
    __Pyx__CyFunction_dealloc(m);
}
static int __Pyx_CyFunction_traverse(__pyx_CyFunctionObject *m, visitproc visit, void *arg)
{
    Py_VISIT(m->func_closure);
#if CYTHON_COMPILING_IN_LIMITED_API
    Py_VISIT(m->func);
#else
    Py_VISIT(((PyCFunctionObject*)m)->m_module);
#endif
    Py_VISIT(m->func_dict);
    Py_VISIT(m->func_name);
    Py_VISIT(m->func_qualname);
    Py_VISIT(m->func_doc);
    Py_VISIT(m->func_globals);
    Py_VISIT(m->func_code);
#if !CYTHON_COMPILING_IN_LIMITED_API
    Py_VISIT(__Pyx_CyFunction_GetClassObj(m));
#endif
    Py_VISIT(m->defaults_tuple);
    Py_VISIT(m->defaults_kwdict);
    Py_VISIT(m->func_is_coroutine);
    if (m->defaults) {
        PyObject **pydefaults = __Pyx_CyFunction_Defaults(PyObject *, m);
        int i;
        for (i = 0; i < m->defaults_pyobjects; i++)
            Py_VISIT(pydefaults[i]);
    }
    return 0;
}
static PyObject*
__Pyx_CyFunction_repr(__pyx_CyFunctionObject *op)
{
#if PY_MAJOR_VERSION >= 3
    return PyUnicode_FromFormat("<cyfunction %U at %p>",
                                op->func_qualname, (void *)op);
#else
    return PyString_FromFormat("<cyfunction %s at %p>",
                               PyString_AsString(op->func_qualname), (void *)op);
#endif
}
static PyObject * __Pyx_CyFunction_CallMethod(PyObject *func, PyObject *self, PyObject *arg, PyObject *kw) {
#if CYTHON_COMPILING_IN_LIMITED_API
    PyObject *f = ((__pyx_CyFunctionObject*)func)->func;
    PyObject *py_name = NULL;
    PyCFunction meth;
    int flags;
    meth = PyCFunction_GetFunction(f);
    if (unlikely(!meth)) return NULL;
    flags = PyCFunction_GetFlags(f);
    if (unlikely(flags < 0)) return NULL;
#else
    PyCFunctionObject* f = (PyCFunctionObject*)func;
    PyCFunction meth = f->m_ml->ml_meth;
    int flags = f->m_ml->ml_flags;
#endif
    Py_ssize_t size;
    switch (flags & (METH_VARARGS | METH_KEYWORDS | METH_NOARGS | METH_O)) {
    case METH_VARARGS:
        if (likely(kw == NULL || PyDict_Size(kw) == 0))
            return (*meth)(self, arg);
        break;
    case METH_VARARGS | METH_KEYWORDS:
        return (*(PyCFunctionWithKeywords)(void*)meth)(self, arg, kw);
    case METH_NOARGS:
        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
#if CYTHON_ASSUME_SAFE_MACROS
            size = PyTuple_GET_SIZE(arg);
#else
            size = PyTuple_Size(arg);
            if (unlikely(size < 0)) return NULL;
#endif
            if (likely(size == 0))
                return (*meth)(self, NULL);
#if CYTHON_COMPILING_IN_LIMITED_API
            py_name = __Pyx_CyFunction_get_name((__pyx_CyFunctionObject*)func, NULL);
            if (!py_name) return NULL;
            PyErr_Format(PyExc_TypeError,
                "%.200S() takes no arguments (%" CYTHON_FORMAT_SSIZE_T "d given)",
                py_name, size);
            Py_DECREF(py_name);
#else
            PyErr_Format(PyExc_TypeError,
                "%.200s() takes no arguments (%" CYTHON_FORMAT_SSIZE_T "d given)",
                f->m_ml->ml_name, size);
#endif
            return NULL;
        }
        break;
    case METH_O:
        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
#if CYTHON_ASSUME_SAFE_MACROS
            size = PyTuple_GET_SIZE(arg);
#else
            size = PyTuple_Size(arg);
            if (unlikely(size < 0)) return NULL;
#endif
            if (likely(size == 1)) {
                PyObject *result, *arg0;
                #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
                arg0 = PyTuple_GET_ITEM(arg, 0);
                #else
                arg0 = __Pyx_PySequence_ITEM(arg, 0); if (unlikely(!arg0)) return NULL;
                #endif
                result = (*meth)(self, arg0);
                #if !(CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)
                Py_DECREF(arg0);
                #endif
                return result;
            }
#if CYTHON_COMPILING_IN_LIMITED_API
            py_name = __Pyx_CyFunction_get_name((__pyx_CyFunctionObject*)func, NULL);
            if (!py_name) return NULL;
            PyErr_Format(PyExc_TypeError,
                "%.200S() takes exactly one argument (%" CYTHON_FORMAT_SSIZE_T "d given)",
                py_name, size);
            Py_DECREF(py_name);
#else
            PyErr_Format(PyExc_TypeError,
                "%.200s() takes exactly one argument (%" CYTHON_FORMAT_SSIZE_T "d given)",
                f->m_ml->ml_name, size);
#endif
            return NULL;
        }
        break;
    default:
        PyErr_SetString(PyExc_SystemError, "Bad call flags for CyFunction");
        return NULL;
    }
#if CYTHON_COMPILING_IN_LIMITED_API
    py_name = __Pyx_CyFunction_get_name((__pyx_CyFunctionObject*)func, NULL);
    if (!py_name) return NULL;
    PyErr_Format(PyExc_TypeError, "%.200S() takes no keyword arguments",
                 py_name);
    Py_DECREF(py_name);
#else
    PyErr_Format(PyExc_TypeError, "%.200s() takes no keyword arguments",
                 f->m_ml->ml_name);
#endif
    return NULL;
}
static CYTHON_INLINE PyObject *__Pyx_CyFunction_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    PyObject *self, *result;
#if CYTHON_COMPILING_IN_LIMITED_API
    self = PyCFunction_GetSelf(((__pyx_CyFunctionObject*)func)->func);
    if (unlikely(!self) && PyErr_Occurred()) return NULL;
#else
    self = ((PyCFunctionObject*)func)->m_self;
#endif
    result = __Pyx_CyFunction_CallMethod(func, self, arg, kw);
    return result;
}
static PyObject *__Pyx_CyFunction_CallAsMethod(PyObject *func, PyObject *args, PyObject *kw) {
    PyObject *result;
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *) func;
#if CYTHON_METH_FASTCALL
     __pyx_vectorcallfunc vc = __Pyx_CyFunction_func_vectorcall(cyfunc);
    if (vc) {
#if CYTHON_ASSUME_SAFE_MACROS
        return __Pyx_PyVectorcall_FastCallDict(func, vc, &PyTuple_GET_ITEM(args, 0), (size_t)PyTuple_GET_SIZE(args), kw);
#else
        (void) &__Pyx_PyVectorcall_FastCallDict;
        return PyVectorcall_Call(func, args, kw);
#endif
    }
#endif
    if ((cyfunc->flags & __Pyx_CYFUNCTION_CCLASS) && !(cyfunc->flags & __Pyx_CYFUNCTION_STATICMETHOD)) {
        Py_ssize_t argc;
        PyObject *new_args;
        PyObject *self;
#if CYTHON_ASSUME_SAFE_MACROS
        argc = PyTuple_GET_SIZE(args);
#else
        argc = PyTuple_Size(args);
        if (unlikely(!argc) < 0) return NULL;
#endif
        new_args = PyTuple_GetSlice(args, 1, argc);
        if (unlikely(!new_args))
            return NULL;
        self = PyTuple_GetItem(args, 0);
        if (unlikely(!self)) {
            Py_DECREF(new_args);
#if PY_MAJOR_VERSION > 2
            PyErr_Format(PyExc_TypeError,
                         "unbound method %.200S() needs an argument",
                         cyfunc->func_qualname);
#else
            PyErr_SetString(PyExc_TypeError,
                            "unbound method needs an argument");
#endif
            return NULL;
        }
        result = __Pyx_CyFunction_CallMethod(func, self, new_args, kw);
        Py_DECREF(new_args);
    } else {
        result = __Pyx_CyFunction_Call(func, args, kw);
    }
    return result;
}
#if CYTHON_METH_FASTCALL
static CYTHON_INLINE int __Pyx_CyFunction_Vectorcall_CheckArgs(__pyx_CyFunctionObject *cyfunc, Py_ssize_t nargs, PyObject *kwnames)
{
    int ret = 0;
    if ((cyfunc->flags & __Pyx_CYFUNCTION_CCLASS) && !(cyfunc->flags & __Pyx_CYFUNCTION_STATICMETHOD)) {
        if (unlikely(nargs < 1)) {
            PyErr_Format(PyExc_TypeError, "%.200s() needs an argument",
                         ((PyCFunctionObject*)cyfunc)->m_ml->ml_name);
            return -1;
        }
        ret = 1;
    }
    if (unlikely(kwnames) && unlikely(PyTuple_GET_SIZE(kwnames))) {
        PyErr_Format(PyExc_TypeError,
                     "%.200s() takes no keyword arguments", ((PyCFunctionObject*)cyfunc)->m_ml->ml_name);
        return -1;
    }
    return ret;
}
static PyObject * __Pyx_CyFunction_Vectorcall_NOARGS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
{
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *)func;
    PyMethodDef* def = ((PyCFunctionObject*)cyfunc)->m_ml;
#if CYTHON_BACKPORT_VECTORCALL
    Py_ssize_t nargs = (Py_ssize_t)nargsf;
#else
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
#endif
    PyObject *self;
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, kwnames)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
        self = ((PyCFunctionObject*)cyfunc)->m_self;
        break;
    default:
        return NULL;
    }
    if (unlikely(nargs != 0)) {
        PyErr_Format(PyExc_TypeError,
            "%.200s() takes no arguments (%" CYTHON_FORMAT_SSIZE_T "d given)",
            def->ml_name, nargs);
        return NULL;
    }
    return def->ml_meth(self, NULL);
}
static PyObject * __Pyx_CyFunction_Vectorcall_O(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
{
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *)func;
    PyMethodDef* def = ((PyCFunctionObject*)cyfunc)->m_ml;
#if CYTHON_BACKPORT_VECTORCALL
    Py_ssize_t nargs = (Py_ssize_t)nargsf;
#else
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
#endif
    PyObject *self;
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, kwnames)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
        self = ((PyCFunctionObject*)cyfunc)->m_self;
        break;
    default:
        return NULL;
    }
    if (unlikely(nargs != 1)) {
        PyErr_Format(PyExc_TypeError,
            "%.200s() takes exactly one argument (%" CYTHON_FORMAT_SSIZE_T "d given)",
            def->ml_name, nargs);
        return NULL;
    }
    return def->ml_meth(self, args[0]);
}
static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
{
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *)func;
    PyMethodDef* def = ((PyCFunctionObject*)cyfunc)->m_ml;
#if CYTHON_BACKPORT_VECTORCALL
    Py_ssize_t nargs = (Py_ssize_t)nargsf;
#else
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
#endif
    PyObject *self;
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, NULL)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
        self = ((PyCFunctionObject*)cyfunc)->m_self;
        break;
    default:
        return NULL;
    }
    return ((__Pyx_PyCFunctionFastWithKeywords)(void(*)(void))def->ml_meth)(self, args, nargs, kwnames);
}
static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS_METHOD(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
{
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *)func;
    PyMethodDef* def = ((PyCFunctionObject*)cyfunc)->m_ml;
    PyTypeObject *cls = (PyTypeObject *) __Pyx_CyFunction_GetClassObj(cyfunc);
#if CYTHON_BACKPORT_VECTORCALL
    Py_ssize_t nargs = (Py_ssize_t)nargsf;
#else
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
#endif
    PyObject *self;
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, NULL)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
        self = ((PyCFunctionObject*)cyfunc)->m_self;
        break;
    default:
        return NULL;
    }
    return ((__Pyx_PyCMethod)(void(*)(void))def->ml_meth)(self, cls, args, (size_t)nargs, kwnames);
}
#endif
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_CyFunctionType_slots[] = {
    {Py_tp_dealloc, (void *)__Pyx_CyFunction_dealloc},
    {Py_tp_repr, (void *)__Pyx_CyFunction_repr},
    {Py_tp_call, (void *)__Pyx_CyFunction_CallAsMethod},
    {Py_tp_traverse, (void *)__Pyx_CyFunction_traverse},
    {Py_tp_clear, (void *)__Pyx_CyFunction_clear},
    {Py_tp_methods, (void *)__pyx_CyFunction_methods},
    {Py_tp_members, (void *)__pyx_CyFunction_members},
    {Py_tp_getset, (void *)__pyx_CyFunction_getsets},
    {Py_tp_descr_get, (void *)__Pyx_PyMethod_New},
    {0, 0},
};
static PyType_Spec __pyx_CyFunctionType_spec = {
    __PYX_TYPE_MODULE_PREFIX "cython_function_or_method",
    sizeof(__pyx_CyFunctionObject),
    0,
#ifdef Py_TPFLAGS_METHOD_DESCRIPTOR
    Py_TPFLAGS_METHOD_DESCRIPTOR |
#endif
#if (defined(_Py_TPFLAGS_HAVE_VECTORCALL) && CYTHON_METH_FASTCALL)
    _Py_TPFLAGS_HAVE_VECTORCALL |
#endif
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_BASETYPE,
    __pyx_CyFunctionType_slots
};
#else
static PyTypeObject __pyx_CyFunctionType_type = {
    PyVarObject_HEAD_INIT(0, 0)
    __PYX_TYPE_MODULE_PREFIX "cython_function_or_method",
    sizeof(__pyx_CyFunctionObject),
    0,
    (destructor) __Pyx_CyFunction_dealloc,
#if !CYTHON_METH_FASTCALL
    0,
#elif CYTHON_BACKPORT_VECTORCALL
    (printfunc)offsetof(__pyx_CyFunctionObject, func_vectorcall),
#else
    offsetof(PyCFunctionObject, vectorcall),
#endif
    0,
    0,
#if PY_MAJOR_VERSION < 3
    0,
#else
    0,
#endif
    (reprfunc) __Pyx_CyFunction_repr,
    0,
    0,
    0,
    0,
    __Pyx_CyFunction_CallAsMethod,
    0,
    0,
    0,
    0,
#ifdef Py_TPFLAGS_METHOD_DESCRIPTOR
    Py_TPFLAGS_METHOD_DESCRIPTOR |
#endif
#if defined(_Py_TPFLAGS_HAVE_VECTORCALL) && CYTHON_METH_FASTCALL
    _Py_TPFLAGS_HAVE_VECTORCALL |
#endif
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_BASETYPE,
    0,
    (traverseproc) __Pyx_CyFunction_traverse,
    (inquiry) __Pyx_CyFunction_clear,
    0,
#if PY_VERSION_HEX < 0x030500A0
    offsetof(__pyx_CyFunctionObject, func_weakreflist),
#else
    offsetof(PyCFunctionObject, m_weakreflist),
#endif
    0,
    0,
    __pyx_CyFunction_methods,
    __pyx_CyFunction_members,
    __pyx_CyFunction_getsets,
    0,
    0,
    __Pyx_PyMethod_New,
    0,
    offsetof(__pyx_CyFunctionObject, func_dict),
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
#if PY_VERSION_HEX >= 0x030400a1
    0,
#endif
#if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
    0,
#endif
#if __PYX_NEED_TP_PRINT_SLOT
    0,
#endif
#if PY_VERSION_HEX >= 0x030C0000
    0,
#endif
#if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
    0,
#endif
};
#endif
static int __pyx_CyFunction_init(PyObject *module) {
#if CYTHON_USE_TYPE_SPECS
    __pyx_CyFunctionType = __Pyx_FetchCommonTypeFromSpec(module, &__pyx_CyFunctionType_spec, NULL);
#else
    CYTHON_UNUSED_VAR(module);
    __pyx_CyFunctionType = __Pyx_FetchCommonType(&__pyx_CyFunctionType_type);
#endif
    if (unlikely(__pyx_CyFunctionType == NULL)) {
        return -1;
    }
    return 0;
}
static CYTHON_INLINE void *__Pyx_CyFunction_InitDefaults(PyObject *func, size_t size, int pyobjects) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults = PyObject_Malloc(size);
    if (unlikely(!m->defaults))
        return PyErr_NoMemory();
    memset(m->defaults, 0, size);
    m->defaults_pyobjects = pyobjects;
    m->defaults_size = size;
    return m->defaults;
}
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *func, PyObject *tuple) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults_tuple = tuple;
    Py_INCREF(tuple);
}
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *func, PyObject *dict) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults_kwdict = dict;
    Py_INCREF(dict);
}
static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *func, PyObject *dict) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->func_annotations = dict;
    Py_INCREF(dict);
}

/* CythonFunction */
static PyObject *__Pyx_CyFunction_New(PyMethodDef *ml, int flags, PyObject* qualname,
                                      PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {
    PyObject *op = __Pyx_CyFunction_Init(
        PyObject_GC_New(__pyx_CyFunctionObject, __pyx_CyFunctionType),
        ml, flags, qualname, closure, module, globals, code
    );
    if (likely(op)) {
        PyObject_GC_Track(op);
    }
    return op;
}

/* pyfrozenset_new */
static CYTHON_INLINE PyObject* __Pyx_PyFrozenSet_New(PyObject* it) {
    if (it) {
        PyObject* result;
#if CYTHON_COMPILING_IN_PYPY
        PyObject* args;
        args = PyTuple_Pack(1, it);
        if (unlikely(!args))
            return NULL;
        result = PyObject_Call((PyObject*)&PyFrozenSet_Type, args, NULL);
        Py_DECREF(args);
        return result;
#else
        if (PyFrozenSet_CheckExact(it)) {
            Py_INCREF(it);
            return it;
        }
        result = PyFrozenSet_New(it);
        if (unlikely(!result))
            return NULL;
        if ((PY_VERSION_HEX >= 0x031000A1) || likely(PySet_GET_SIZE(result)))
            return result;
        Py_DECREF(result);
#endif
    }
#if CYTHON_USE_TYPE_SLOTS
    return PyFrozenSet_Type.tp_new(&PyFrozenSet_Type, __pyx_empty_tuple, NULL);
#else
    return PyObject_Call((PyObject*)&PyFrozenSet_Type, __pyx_empty_tuple, NULL);
#endif
}

/* PySetContains */
static int __Pyx_PySet_ContainsUnhashable(PyObject *set, PyObject *key) {
    int result = -1;
    if (PySet_Check(key) && PyErr_ExceptionMatches(PyExc_TypeError)) {
        PyObject *tmpkey;
        PyErr_Clear();
        tmpkey = __Pyx_PyFrozenSet_New(key);
        if (tmpkey != NULL) {
            result = PySet_Contains(set, tmpkey);
            Py_DECREF(tmpkey);
        }
    }
    return result;
}
static CYTHON_INLINE int __Pyx_PySet_ContainsTF(PyObject* key, PyObject* set, int eq) {
    int result = PySet_Contains(set, key);
    if (unlikely(result < 0)) {
        result = __Pyx_PySet_ContainsUnhashable(set, key);
    }
    return unlikely(result < 0) ? result : (result == (eq == Py_EQ));
}

/* PyObjectCallMethod0 */
static PyObject* __Pyx_PyObject_CallMethod0(PyObject* obj, PyObject* method_name) {
    PyObject *method = NULL, *result = NULL;
    int is_method = __Pyx_PyObject_GetMethod(obj, method_name, &method);
    if (likely(is_method)) {
        result = __Pyx_PyObject_CallOneArg(method, obj);
        Py_DECREF(method);
        return result;
    }
    if (unlikely(!method)) goto bad;
    result = __Pyx_PyObject_CallNoArg(method);
    Py_DECREF(method);
bad:
    return result;
}

/* ValidateBasesTuple */
#if CYTHON_COMPILING_IN_CPYTHON || CYTHON_COMPILING_IN_LIMITED_API || CYTHON_USE_TYPE_SPECS
static int __Pyx_validate_bases_tuple(const char *type_name, Py_ssize_t dictoffset, PyObject *bases) {
    Py_ssize_t i, n;
#if CYTHON_ASSUME_SAFE_MACROS
    n = PyTuple_GET_SIZE(bases);
#else
    n = PyTuple_Size(bases);
    if (n < 0) return -1;
#endif
    for (i = 1; i < n; i++)
    {
#if CYTHON_AVOID_BORROWED_REFS
        PyObject *b0 = PySequence_GetItem(bases, i);
        if (!b0) return -1;
#elif CYTHON_ASSUME_SAFE_MACROS
        PyObject *b0 = PyTuple_GET_ITEM(bases, i);
#else
        PyObject *b0 = PyTuple_GetItem(bases, i);
        if (!b0) return -1;
#endif
        PyTypeObject *b;
#if PY_MAJOR_VERSION < 3
        if (PyClass_Check(b0))
        {
            PyErr_Format(PyExc_TypeError, "base class '%.200s' is an old-style class",
                         PyString_AS_STRING(((PyClassObject*)b0)->cl_name));
#if CYTHON_AVOID_BORROWED_REFS
            Py_DECREF(b0);
#endif
            return -1;
        }
#endif
        b = (PyTypeObject*) b0;
        if (!__Pyx_PyType_HasFeature(b, Py_TPFLAGS_HEAPTYPE))
        {
            __Pyx_TypeName b_name = __Pyx_PyType_GetName(b);
            PyErr_Format(PyExc_TypeError,
                "base class '" __Pyx_FMT_TYPENAME "' is not a heap type", b_name);
            __Pyx_DECREF_TypeName(b_name);
#if CYTHON_AVOID_BORROWED_REFS
            Py_DECREF(b0);
#endif
            return -1;
        }
        if (dictoffset == 0)
        {
            Py_ssize_t b_dictoffset = 0;
#if CYTHON_USE_TYPE_SLOTS || CYTHON_COMPILING_IN_PYPY
            b_dictoffset = b->tp_dictoffset;
#else
            PyObject *py_b_dictoffset = PyObject_GetAttrString((PyObject*)b, "__dictoffset__");
            if (!py_b_dictoffset) goto dictoffset_return;
            b_dictoffset = PyLong_AsSsize_t(py_b_dictoffset);
            Py_DECREF(py_b_dictoffset);
            if (b_dictoffset == -1 && PyErr_Occurred()) goto dictoffset_return;
#endif
            if (b_dictoffset) {
                {
                    __Pyx_TypeName b_name = __Pyx_PyType_GetName(b);
                    PyErr_Format(PyExc_TypeError,
                        "extension type '%.200s' has no __dict__ slot, "
                        "but base type '" __Pyx_FMT_TYPENAME "' has: "
                        "either add 'cdef dict __dict__' to the extension type "
                        "or add '__slots__ = [...]' to the base type",
                        type_name, b_name);
                    __Pyx_DECREF_TypeName(b_name);
                }
#if !(CYTHON_USE_TYPE_SLOTS || CYTHON_COMPILING_IN_PYPY)
              dictoffset_return:
#endif
#if CYTHON_AVOID_BORROWED_REFS
                Py_DECREF(b0);
#endif
                return -1;
            }
        }
#if CYTHON_AVOID_BORROWED_REFS
        Py_DECREF(b0);
#endif
    }
    return 0;
}
#endif

/* PyType_Ready */
static int __Pyx_PyType_Ready(PyTypeObject *t) {
#if CYTHON_USE_TYPE_SPECS || !(CYTHON_COMPILING_IN_CPYTHON || CYTHON_COMPILING_IN_LIMITED_API) || defined(PYSTON_MAJOR_VERSION)
    (void)__Pyx_PyObject_CallMethod0;
#if CYTHON_USE_TYPE_SPECS
    (void)__Pyx_validate_bases_tuple;
#endif
    return PyType_Ready(t);
#else
    int r;
    PyObject *bases = __Pyx_PyType_GetSlot(t, tp_bases, PyObject*);
    if (bases && unlikely(__Pyx_validate_bases_tuple(t->tp_name, t->tp_dictoffset, bases) == -1))
        return -1;
#if PY_VERSION_HEX >= 0x03050000 && !defined(PYSTON_MAJOR_VERSION)
    {
        int gc_was_enabled;
    #if PY_VERSION_HEX >= 0x030A00b1
        gc_was_enabled = PyGC_Disable();
        (void)__Pyx_PyObject_CallMethod0;
    #else
        PyObject *ret, *py_status;
        PyObject *gc = NULL;
        #if PY_VERSION_HEX >= 0x030700a1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM+0 >= 0x07030400)
        gc = PyImport_GetModule(__pyx_kp_u_gc);
        #endif
        if (unlikely(!gc)) gc = PyImport_Import(__pyx_kp_u_gc);
        if (unlikely(!gc)) return -1;
        py_status = __Pyx_PyObject_CallMethod0(gc, __pyx_kp_u_isenabled);
        if (unlikely(!py_status)) {
            Py_DECREF(gc);
            return -1;
        }
        gc_was_enabled = __Pyx_PyObject_IsTrue(py_status);
        Py_DECREF(py_status);
        if (gc_was_enabled > 0) {
            ret = __Pyx_PyObject_CallMethod0(gc, __pyx_kp_u_disable);
            if (unlikely(!ret)) {
                Py_DECREF(gc);
                return -1;
            }
            Py_DECREF(ret);
        } else if (unlikely(gc_was_enabled == -1)) {
            Py_DECREF(gc);
            return -1;
        }
    #endif
        t->tp_flags |= Py_TPFLAGS_HEAPTYPE;
#if PY_VERSION_HEX >= 0x030A0000
        t->tp_flags |= Py_TPFLAGS_IMMUTABLETYPE;
#endif
#else
        (void)__Pyx_PyObject_CallMethod0;
#endif
    r = PyType_Ready(t);
#if PY_VERSION_HEX >= 0x03050000 && !defined(PYSTON_MAJOR_VERSION)
        t->tp_flags &= ~Py_TPFLAGS_HEAPTYPE;
    #if PY_VERSION_HEX >= 0x030A00b1
        if (gc_was_enabled)
            PyGC_Enable();
    #else
        if (gc_was_enabled) {
            PyObject *tp, *v, *tb;
            PyErr_Fetch(&tp, &v, &tb);
            ret = __Pyx_PyObject_CallMethod0(gc, __pyx_kp_u_enable);
            if (likely(ret || r == -1)) {
                Py_XDECREF(ret);
                PyErr_Restore(tp, v, tb);
            } else {
                Py_XDECREF(tp);
                Py_XDECREF(v);
                Py_XDECREF(tb);
                r = -1;
            }
        }
        Py_DECREF(gc);
    #endif
    }
#endif
    return r;
#endif
}

/* Import */
static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level) {
    PyObject *module = 0;
    PyObject *empty_dict = 0;
    PyObject *empty_list = 0;
    #if PY_MAJOR_VERSION < 3
    PyObject *py_import;
    py_import = __Pyx_PyObject_GetAttrStr(__pyx_b, __pyx_n_s_import);
    if (unlikely(!py_import))
        goto bad;
    if (!from_list) {
        empty_list = PyList_New(0);
        if (unlikely(!empty_list))
            goto bad;
        from_list = empty_list;
    }
    #endif
    empty_dict = PyDict_New();
    if (unlikely(!empty_dict))
        goto bad;
    {
        #if PY_MAJOR_VERSION >= 3
        if (level == -1) {
            if (strchr(__Pyx_MODULE_NAME, '.') != NULL) {
                module = PyImport_ImportModuleLevelObject(
                    name, __pyx_d, empty_dict, from_list, 1);
                if (unlikely(!module)) {
                    if (unlikely(!PyErr_ExceptionMatches(PyExc_ImportError)))
                        goto bad;
                    PyErr_Clear();
                }
            }
            level = 0;
        }
        #endif
        if (!module) {
            #if PY_MAJOR_VERSION < 3
            PyObject *py_level = PyInt_FromLong(level);
            if (unlikely(!py_level))
                goto bad;
            module = PyObject_CallFunctionObjArgs(py_import,
                name, __pyx_d, empty_dict, from_list, py_level, (PyObject *)NULL);
            Py_DECREF(py_level);
            #else
            module = PyImport_ImportModuleLevelObject(
                name, __pyx_d, empty_dict, from_list, level);
            #endif
        }
    }
bad:
    Py_XDECREF(empty_dict);
    Py_XDECREF(empty_list);
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(py_import);
    #endif
    return module;
}

/* ImportFrom */
static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name) {
    PyObject* value = __Pyx_PyObject_GetAttrStr(module, name);
    if (unlikely(!value) && PyErr_ExceptionMatches(PyExc_AttributeError)) {
        const char* module_name_str = 0;
        PyObject* module_name = 0;
        PyObject* module_dot = 0;
        PyObject* full_name = 0;
        PyErr_Clear();
        module_name_str = PyModule_GetName(module);
        if (unlikely(!module_name_str)) { goto modbad; }
        module_name = PyUnicode_FromString(module_name_str);
        if (unlikely(!module_name)) { goto modbad; }
        module_dot = PyUnicode_Concat(module_name, __pyx_kp_u__10);
        if (unlikely(!module_dot)) { goto modbad; }
        full_name = PyUnicode_Concat(module_dot, name);
        if (unlikely(!full_name)) { goto modbad; }
        #if PY_VERSION_HEX < 0x030700A1 || (CYTHON_COMPILING_IN_PYPY && PYPY_VERSION_NUM  < 0x07030400)
        {
            PyObject *modules = PyImport_GetModuleDict();
            if (unlikely(!modules))
                goto modbad;
            value = PyObject_GetItem(modules, full_name);
        }
        #else
        value = PyImport_GetModule(full_name);
        #endif
      modbad:
        Py_XDECREF(full_name);
        Py_XDECREF(module_dot);
        Py_XDECREF(module_name);
    }
    if (unlikely(!value)) {
        PyErr_Format(PyExc_ImportError,
        #if PY_MAJOR_VERSION < 3
            "cannot import name %.230s", PyString_AS_STRING(name));
        #else
            "cannot import name %S", name);
        #endif
    }
    return value;
}

/* ImportDottedModule */
#if PY_MAJOR_VERSION >= 3
static PyObject *__Pyx__ImportDottedModule_Error(PyObject *name, PyObject *parts_tuple, Py_ssize_t count) {
    PyObject *partial_name = NULL, *slice = NULL, *sep = NULL;
    if (unlikely(PyErr_Occurred())) {
        PyErr_Clear();
    }
    if (likely(PyTuple_GET_SIZE(parts_tuple) == count)) {
        partial_name = name;
    } else {
        slice = PySequence_GetSlice(parts_tuple, 0, count);
        if (unlikely(!slice))
            goto bad;
        sep = PyUnicode_FromStringAndSize(".", 1);
        if (unlikely(!sep))
            goto bad;
        partial_name = PyUnicode_Join(sep, slice);
    }
    PyErr_Format(
#if PY_MAJOR_VERSION < 3
        PyExc_ImportError,
        "No module named '%s'", PyString_AS_STRING(partial_name));
#else
#if PY_VERSION_HEX >= 0x030600B1
        PyExc_ModuleNotFoundError,
#else
        PyExc_ImportError,
#endif
        "No module named '%U'", partial_name);
#endif
bad:
    Py_XDECREF(sep);
    Py_XDECREF(slice);
    Py_XDECREF(partial_name);
    return NULL;
}
#endif
#if PY_MAJOR_VERSION >= 3
static PyObject *__Pyx__ImportDottedModule_Lookup(PyObject *name) {
    PyObject *imported_module;
#if PY_VERSION_HEX < 0x030700A1 || (CYTHON_COMPILING_IN_PYPY && PYPY_VERSION_NUM  < 0x07030400)
    PyObject *modules = PyImport_GetModuleDict();
    if (unlikely(!modules))
        return NULL;
    imported_module = __Pyx_PyDict_GetItemStr(modules, name);
    Py_XINCREF(imported_module);
#else
    imported_module = PyImport_GetModule(name);
#endif
    return imported_module;
}
#endif
#if PY_MAJOR_VERSION >= 3
static PyObject *__Pyx_ImportDottedModule_WalkParts(PyObject *module, PyObject *name, PyObject *parts_tuple) {
    Py_ssize_t i, nparts;
    nparts = PyTuple_GET_SIZE(parts_tuple);
    for (i=1; i < nparts && module; i++) {
        PyObject *part, *submodule;
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
        part = PyTuple_GET_ITEM(parts_tuple, i);
#else
        part = PySequence_ITEM(parts_tuple, i);
#endif
        submodule = __Pyx_PyObject_GetAttrStrNoError(module, part);
#if !(CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)
        Py_DECREF(part);
#endif
        Py_DECREF(module);
        module = submodule;
    }
    if (unlikely(!module)) {
        return __Pyx__ImportDottedModule_Error(name, parts_tuple, i);
    }
    return module;
}
#endif
static PyObject *__Pyx__ImportDottedModule(PyObject *name, PyObject *parts_tuple) {
#if PY_MAJOR_VERSION < 3
    PyObject *module, *from_list, *star = __pyx_n_s__11;
    CYTHON_UNUSED_VAR(parts_tuple);
    from_list = PyList_New(1);
    if (unlikely(!from_list))
        return NULL;
    Py_INCREF(star);
    PyList_SET_ITEM(from_list, 0, star);
    module = __Pyx_Import(name, from_list, 0);
    Py_DECREF(from_list);
    return module;
#else
    PyObject *imported_module;
    PyObject *module = __Pyx_Import(name, NULL, 0);
    if (!parts_tuple || unlikely(!module))
        return module;
    imported_module = __Pyx__ImportDottedModule_Lookup(name);
    if (likely(imported_module)) {
        Py_DECREF(module);
        return imported_module;
    }
    PyErr_Clear();
    return __Pyx_ImportDottedModule_WalkParts(module, name, parts_tuple);
#endif
}
static PyObject *__Pyx_ImportDottedModule(PyObject *name, PyObject *parts_tuple) {
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030400B1
    PyObject *module = __Pyx__ImportDottedModule_Lookup(name);
    if (likely(module)) {
        PyObject *spec = __Pyx_PyObject_GetAttrStrNoError(module, __pyx_n_s_spec);
        if (likely(spec)) {
            PyObject *unsafe = __Pyx_PyObject_GetAttrStrNoError(spec, __pyx_n_s_initializing);
            if (likely(!unsafe || !__Pyx_PyObject_IsTrue(unsafe))) {
                Py_DECREF(spec);
                spec = NULL;
            }
            Py_XDECREF(unsafe);
        }
        if (likely(!spec)) {
            PyErr_Clear();
            return module;
        }
        Py_DECREF(spec);
        Py_DECREF(module);
    } else if (PyErr_Occurred()) {
        PyErr_Clear();
    }
#endif
    return __Pyx__ImportDottedModule(name, parts_tuple);
}

/* FastTypeChecks */
#if CYTHON_COMPILING_IN_CPYTHON
static int __Pyx_InBases(PyTypeObject *a, PyTypeObject *b) {
    while (a) {
        a = __Pyx_PyType_GetSlot(a, tp_base, PyTypeObject*);
        if (a == b)
            return 1;
    }
    return b == &PyBaseObject_Type;
}
static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b) {
    PyObject *mro;
    if (a == b) return 1;
    mro = a->tp_mro;
    if (likely(mro)) {
        Py_ssize_t i, n;
        n = PyTuple_GET_SIZE(mro);
        for (i = 0; i < n; i++) {
            if (PyTuple_GET_ITEM(mro, i) == (PyObject *)b)
                return 1;
        }
        return 0;
    }
    return __Pyx_InBases(a, b);
}
static CYTHON_INLINE int __Pyx_IsAnySubtype2(PyTypeObject *cls, PyTypeObject *a, PyTypeObject *b) {
    PyObject *mro;
    if (cls == a || cls == b) return 1;
    mro = cls->tp_mro;
    if (likely(mro)) {
        Py_ssize_t i, n;
        n = PyTuple_GET_SIZE(mro);
        for (i = 0; i < n; i++) {
            PyObject *base = PyTuple_GET_ITEM(mro, i);
            if (base == (PyObject *)a || base == (PyObject *)b)
                return 1;
        }
        return 0;
    }
    return __Pyx_InBases(cls, a) || __Pyx_InBases(cls, b);
}
#if PY_MAJOR_VERSION == 2
static int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject* exc_type2) {
    PyObject *exception, *value, *tb;
    int res;
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    __Pyx_ErrFetch(&exception, &value, &tb);
    res = exc_type1 ? PyObject_IsSubclass(err, exc_type1) : 0;
    if (unlikely(res == -1)) {
        PyErr_WriteUnraisable(err);
        res = 0;
    }
    if (!res) {
        res = PyObject_IsSubclass(err, exc_type2);
        if (unlikely(res == -1)) {
            PyErr_WriteUnraisable(err);
            res = 0;
        }
    }
    __Pyx_ErrRestore(exception, value, tb);
    return res;
}
#else
static CYTHON_INLINE int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject *exc_type2) {
    if (exc_type1) {
        return __Pyx_IsAnySubtype2((PyTypeObject*)err, (PyTypeObject*)exc_type1, (PyTypeObject*)exc_type2);
    } else {
        return __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type2);
    }
}
#endif
static int __Pyx_PyErr_GivenExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
    Py_ssize_t i, n;
    assert(PyExceptionClass_Check(exc_type));
    n = PyTuple_GET_SIZE(tuple);
#if PY_MAJOR_VERSION >= 3
    for (i=0; i<n; i++) {
        if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
    }
#endif
    for (i=0; i<n; i++) {
        PyObject *t = PyTuple_GET_ITEM(tuple, i);
        #if PY_MAJOR_VERSION < 3
        if (likely(exc_type == t)) return 1;
        #endif
        if (likely(PyExceptionClass_Check(t))) {
            if (__Pyx_inner_PyErr_GivenExceptionMatches2(exc_type, NULL, t)) return 1;
        } else {
        }
    }
    return 0;
}
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject* exc_type) {
    if (likely(err == exc_type)) return 1;
    if (likely(PyExceptionClass_Check(err))) {
        if (likely(PyExceptionClass_Check(exc_type))) {
            return __Pyx_inner_PyErr_GivenExceptionMatches2(err, NULL, exc_type);
        } else if (likely(PyTuple_Check(exc_type))) {
            return __Pyx_PyErr_GivenExceptionMatchesTuple(err, exc_type);
        } else {
        }
    }
    return PyErr_GivenExceptionMatches(err, exc_type);
}
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *exc_type1, PyObject *exc_type2) {
    assert(PyExceptionClass_Check(exc_type1));
    assert(PyExceptionClass_Check(exc_type2));
    if (likely(err == exc_type1 || err == exc_type2)) return 1;
    if (likely(PyExceptionClass_Check(err))) {
        return __Pyx_inner_PyErr_GivenExceptionMatches2(err, exc_type1, exc_type2);
    }
    return (PyErr_GivenExceptionMatches(err, exc_type1) || PyErr_GivenExceptionMatches(err, exc_type2));
}
#endif

/* CLineInTraceback */
#ifndef CYTHON_CLINE_IN_TRACEBACK
static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line) {
    PyObject *use_cline;
    PyObject *ptype, *pvalue, *ptraceback;
#if CYTHON_COMPILING_IN_CPYTHON
    PyObject **cython_runtime_dict;
#endif
    CYTHON_MAYBE_UNUSED_VAR(tstate);
    if (unlikely(!__pyx_cython_runtime)) {
        return c_line;
    }
    __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);
#if CYTHON_COMPILING_IN_CPYTHON
    cython_runtime_dict = _PyObject_GetDictPtr(__pyx_cython_runtime);
    if (likely(cython_runtime_dict)) {
        __PYX_PY_DICT_LOOKUP_IF_MODIFIED(
            use_cline, *cython_runtime_dict,
            __Pyx_PyDict_GetItemStr(*cython_runtime_dict, __pyx_n_s_cline_in_traceback))
    } else
#endif
    {
      PyObject *use_cline_obj = __Pyx_PyObject_GetAttrStrNoError(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback);
      if (use_cline_obj) {
        use_cline = PyObject_Not(use_cline_obj) ? Py_False : Py_True;
        Py_DECREF(use_cline_obj);
      } else {
        PyErr_Clear();
        use_cline = NULL;
      }
    }
    if (!use_cline) {
        c_line = 0;
        (void) PyObject_SetAttr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback, Py_False);
    }
    else if (use_cline == Py_False || (use_cline != Py_True && PyObject_Not(use_cline) != 0)) {
        c_line = 0;
    }
    __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback);
    return c_line;
}
#endif

/* CodeObjectCache */
#if !CYTHON_COMPILING_IN_LIMITED_API
static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line) {
    int start = 0, mid = 0, end = count - 1;
    if (end >= 0 && code_line > entries[end].code_line) {
        return count;
    }
    while (start < end) {
        mid = start + (end - start) / 2;
        if (code_line < entries[mid].code_line) {
            end = mid;
        } else if (code_line > entries[mid].code_line) {
             start = mid + 1;
        } else {
            return mid;
        }
    }
    if (code_line <= entries[mid].code_line) {
        return mid;
    } else {
        return mid + 1;
    }
}
static PyCodeObject *__pyx_find_code_object(int code_line) {
    PyCodeObject* code_object;
    int pos;
    if (unlikely(!code_line) || unlikely(!__pyx_code_cache.entries)) {
        return NULL;
    }
    pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
    if (unlikely(pos >= __pyx_code_cache.count) || unlikely(__pyx_code_cache.entries[pos].code_line != code_line)) {
        return NULL;
    }
    code_object = __pyx_code_cache.entries[pos].code_object;
    Py_INCREF(code_object);
    return code_object;
}
static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object) {
    int pos, i;
    __Pyx_CodeObjectCacheEntry* entries = __pyx_code_cache.entries;
    if (unlikely(!code_line)) {
        return;
    }
    if (unlikely(!entries)) {
        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Malloc(64*sizeof(__Pyx_CodeObjectCacheEntry));
        if (likely(entries)) {
            __pyx_code_cache.entries = entries;
            __pyx_code_cache.max_count = 64;
            __pyx_code_cache.count = 1;
            entries[0].code_line = code_line;
            entries[0].code_object = code_object;
            Py_INCREF(code_object);
        }
        return;
    }
    pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
    if ((pos < __pyx_code_cache.count) && unlikely(__pyx_code_cache.entries[pos].code_line == code_line)) {
        PyCodeObject* tmp = entries[pos].code_object;
        entries[pos].code_object = code_object;
        Py_DECREF(tmp);
        return;
    }
    if (__pyx_code_cache.count == __pyx_code_cache.max_count) {
        int new_max = __pyx_code_cache.max_count + 64;
        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Realloc(
            __pyx_code_cache.entries, ((size_t)new_max) * sizeof(__Pyx_CodeObjectCacheEntry));
        if (unlikely(!entries)) {
            return;
        }
        __pyx_code_cache.entries = entries;
        __pyx_code_cache.max_count = new_max;
    }
    for (i=__pyx_code_cache.count; i>pos; i--) {
        entries[i] = entries[i-1];
    }
    entries[pos].code_line = code_line;
    entries[pos].code_object = code_object;
    __pyx_code_cache.count++;
    Py_INCREF(code_object);
}
#endif

/* AddTraceback */
#include "compile.h"
#include "frameobject.h"
#include "traceback.h"
#if PY_VERSION_HEX >= 0x030b00a6 && !CYTHON_COMPILING_IN_LIMITED_API
  #ifndef Py_BUILD_CORE
    #define Py_BUILD_CORE 1
  #endif
  #include "internal/pycore_frame.h"
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
static PyObject *__Pyx_PyCode_Replace_For_AddTraceback(PyObject *code, PyObject *scratch_dict,
                                                       PyObject *firstlineno, PyObject *name) {
    PyObject *replace = NULL;
    if (unlikely(PyDict_SetItemString(scratch_dict, "co_firstlineno", firstlineno))) return NULL;
    if (unlikely(PyDict_SetItemString(scratch_dict, "co_name", name))) return NULL;
    replace = PyObject_GetAttrString(code, "replace");
    if (likely(replace)) {
        PyObject *result;
        result = PyObject_Call(replace, __pyx_empty_tuple, scratch_dict);
        Py_DECREF(replace);
        return result;
    }
    PyErr_Clear();
    #if __PYX_LIMITED_VERSION_HEX < 0x030780000
    {
        PyObject *compiled = NULL, *result = NULL;
        if (unlikely(PyDict_SetItemString(scratch_dict, "code", code))) return NULL;
        if (unlikely(PyDict_SetItemString(scratch_dict, "type", (PyObject*)(&PyType_Type)))) return NULL;
        compiled = Py_CompileString(
            "out = type(code)(\n"
            "  code.co_argcount, code.co_kwonlyargcount, code.co_nlocals, code.co_stacksize,\n"
            "  code.co_flags, code.co_code, code.co_consts, code.co_names,\n"
            "  code.co_varnames, code.co_filename, co_name, co_firstlineno,\n"
            "  code.co_lnotab)\n", "<dummy>", Py_file_input);
        if (!compiled) return NULL;
        result = PyEval_EvalCode(compiled, scratch_dict, scratch_dict);
        Py_DECREF(compiled);
        if (!result) PyErr_Print();
        Py_DECREF(result);
        result = PyDict_GetItemString(scratch_dict, "out");
        if (result) Py_INCREF(result);
        return result;
    }
    #else
    return NULL;
    #endif
}
static void __Pyx_AddTraceback(const char *funcname, int c_line,
                               int py_line, const char *filename) {
    PyObject *code_object = NULL, *py_py_line = NULL, *py_funcname = NULL, *dict = NULL;
    PyObject *replace = NULL, *getframe = NULL, *frame = NULL;
    PyObject *exc_type, *exc_value, *exc_traceback;
    int success = 0;
    if (c_line) {
        (void) __pyx_cfilenm;
        (void) __Pyx_CLineForTraceback(__Pyx_PyThreadState_Current, c_line);
    }
    PyErr_Fetch(&exc_type, &exc_value, &exc_traceback);
    code_object = Py_CompileString("_getframe()", filename, Py_eval_input);
    if (unlikely(!code_object)) goto bad;
    py_py_line = PyLong_FromLong(py_line);
    if (unlikely(!py_py_line)) goto bad;
    py_funcname = PyUnicode_FromString(funcname);
    if (unlikely(!py_funcname)) goto bad;
    dict = PyDict_New();
    if (unlikely(!dict)) goto bad;
    {
        PyObject *old_code_object = code_object;
        code_object = __Pyx_PyCode_Replace_For_AddTraceback(code_object, dict, py_py_line, py_funcname);
        Py_DECREF(old_code_object);
    }
    if (unlikely(!code_object)) goto bad;
    getframe = PySys_GetObject("_getframe");
    if (unlikely(!getframe)) goto bad;
    if (unlikely(PyDict_SetItemString(dict, "_getframe", getframe))) goto bad;
    frame = PyEval_EvalCode(code_object, dict, dict);
    if (unlikely(!frame) || frame == Py_None) goto bad;
    success = 1;
  bad:
    PyErr_Restore(exc_type, exc_value, exc_traceback);
    Py_XDECREF(code_object);
    Py_XDECREF(py_py_line);
    Py_XDECREF(py_funcname);
    Py_XDECREF(dict);
    Py_XDECREF(replace);
    if (success) {
        PyTraceBack_Here(
            (struct _frame*)frame);
    }
    Py_XDECREF(frame);
}
#else
static PyCodeObject* __Pyx_CreateCodeObjectForTraceback(
            const char *funcname, int c_line,
            int py_line, const char *filename) {
    PyCodeObject *py_code = NULL;
    PyObject *py_funcname = NULL;
    #if PY_MAJOR_VERSION < 3
    PyObject *py_srcfile = NULL;
    py_srcfile = PyString_FromString(filename);
    if (!py_srcfile) goto bad;
    #endif
    if (c_line) {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        if (!py_funcname) goto bad;
        #else
        py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        if (!py_funcname) goto bad;
        funcname = PyUnicode_AsUTF8(py_funcname);
        if (!funcname) goto bad;
        #endif
    }
    else {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromString(funcname);
        if (!py_funcname) goto bad;
        #endif
    }
    #if PY_MAJOR_VERSION < 3
    py_code = __Pyx_PyCode_New(
        0,
        0,
        0,
        0,
        0,
        0,
        __pyx_empty_bytes, /*PyObject *code,*/
        __pyx_empty_tuple, /*PyObject *consts,*/
        __pyx_empty_tuple, /*PyObject *names,*/
        __pyx_empty_tuple, /*PyObject *varnames,*/
        __pyx_empty_tuple, /*PyObject *freevars,*/
        __pyx_empty_tuple, /*PyObject *cellvars,*/
        py_srcfile,   /*PyObject *filename,*/
        py_funcname,  /*PyObject *name,*/
        py_line,
        __pyx_empty_bytes  /*PyObject *lnotab*/
    );
    Py_DECREF(py_srcfile);
    #else
    py_code = PyCode_NewEmpty(filename, funcname, py_line);
    #endif
    Py_XDECREF(py_funcname);
    return py_code;
bad:
    Py_XDECREF(py_funcname);
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(py_srcfile);
    #endif
    return NULL;
}
static void __Pyx_AddTraceback(const char *funcname, int c_line,
                               int py_line, const char *filename) {
    PyCodeObject *py_code = 0;
    PyFrameObject *py_frame = 0;
    PyThreadState *tstate = __Pyx_PyThreadState_Current;
    PyObject *ptype, *pvalue, *ptraceback;
    if (c_line) {
        c_line = __Pyx_CLineForTraceback(tstate, c_line);
    }
    py_code = __pyx_find_code_object(c_line ? -c_line : py_line);
    if (!py_code) {
        __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);
        py_code = __Pyx_CreateCodeObjectForTraceback(
            funcname, c_line, py_line, filename);
        if (!py_code) {
            /* If the code object creation fails, then we should clear the
               fetched exception references and propagate the new exception */
            Py_XDECREF(ptype);
            Py_XDECREF(pvalue);
            Py_XDECREF(ptraceback);
            goto bad;
        }
        __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback);
        __pyx_insert_code_object(c_line ? -c_line : py_line, py_code);
    }
    py_frame = PyFrame_New(
        tstate,            /*PyThreadState *tstate,*/
        py_code,           /*PyCodeObject *code,*/
        __pyx_d,    /*PyObject *globals,*/
        0                  /*PyObject *locals*/
    );
    if (!py_frame) goto bad;
    __Pyx_PyFrame_SetLineNumber(py_frame, py_line);
    PyTraceBack_Here(py_frame);
bad:
    Py_XDECREF(py_code);
    Py_XDECREF(py_frame);
}
#endif

/* Declarations */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
  #ifdef __cplusplus
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      return ::std::complex< double >(x, y);
    }
  #else
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      return x + y*(__pyx_t_double_complex)_Complex_I;
    }
  #endif
#else
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      __pyx_t_double_complex z;
      z.real = x;
      z.imag = y;
      return z;
    }
#endif

/* Arithmetic */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
#else
    static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
       return (a.real == b.real) && (a.imag == b.imag);
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real + b.real;
        z.imag = a.imag + b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real - b.real;
        z.imag = a.imag - b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real * b.real - a.imag * b.imag;
        z.imag = a.real * b.imag + a.imag * b.real;
        return z;
    }
    #if 1
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        if (b.imag == 0) {
            return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else if (fabs(b.real) >= fabs(b.imag)) {
            if (b.real == 0 && b.imag == 0) {
                return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.imag);
            } else {
                double r = b.imag / b.real;
                double s = (double)(1.0) / (b.real + b.imag * r);
                return __pyx_t_double_complex_from_parts(
                    (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);
            }
        } else {
            double r = b.real / b.imag;
            double s = (double)(1.0) / (b.imag + b.real * r);
            return __pyx_t_double_complex_from_parts(
                (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);
        }
    }
    #else
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        if (b.imag == 0) {
            return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else {
            double denom = b.real * b.real + b.imag * b.imag;
            return __pyx_t_double_complex_from_parts(
                (a.real * b.real + a.imag * b.imag) / denom,
                (a.imag * b.real - a.real * b.imag) / denom);
        }
    }
    #endif
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex a) {
        __pyx_t_double_complex z;
        z.real = -a.real;
        z.imag = -a.imag;
        return z;
    }
    static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex a) {
        __pyx_t_double_complex z;
        z.real =  a.real;
        z.imag = -a.imag;
        return z;
    }
    #if 1
        static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex z) {
          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
            return sqrt(z.real*z.real + z.imag*z.imag);
          #else
            return hypot(z.real, z.imag);
          #endif
        }
        static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
            __pyx_t_double_complex z;
            double r, lnr, theta, z_r, z_theta;
            if (b.imag == 0 && b.real == (int)b.real) {
                if (b.real < 0) {
                    double denom = a.real * a.real + a.imag * a.imag;
                    a.real = a.real / denom;
                    a.imag = -a.imag / denom;
                    b.real = -b.real;
                }
                switch ((int)b.real) {
                    case 0:
                        z.real = 1;
                        z.imag = 0;
                        return z;
                    case 1:
                        return a;
                    case 2:
                        return __Pyx_c_prod_double(a, a);
                    case 3:
                        z = __Pyx_c_prod_double(a, a);
                        return __Pyx_c_prod_double(z, a);
                    case 4:
                        z = __Pyx_c_prod_double(a, a);
                        return __Pyx_c_prod_double(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                } else if ((b.imag == 0) && (a.real >= 0)) {
                    z.real = pow(a.real, b.real);
                    z.imag = 0;
                    return z;
                } else if (a.real > 0) {
                    r = a.real;
                    theta = 0;
                } else {
                    r = -a.real;
                    theta = atan2(0.0, -1.0);
                }
            } else {
                r = __Pyx_c_abs_double(a);
                theta = atan2(a.imag, a.real);
            }
            lnr = log(r);
            z_r = exp(lnr * b.real - theta * b.imag);
            z_theta = theta * b.real + lnr * b.imag;
            z.real = z_r * cos(z_theta);
            z.imag = z_r * sin(z_theta);
            return z;
        }
    #endif
#endif

/* FromPy */
static __pyx_t_double_complex __Pyx_PyComplex_As___pyx_t_double_complex(PyObject* o) {
    Py_complex cval;
#if !CYTHON_COMPILING_IN_PYPY
    if (PyComplex_CheckExact(o))
        cval = ((PyComplexObject *)o)->cval;
    else
#endif
        cval = PyComplex_AsCComplex(o);
    return __pyx_t_double_complex_from_parts(
               (double)cval.real,
               (double)cval.imag);
}

/* CIntToPy */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const long neg_one = (long) -1, const_zero = (long) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(long) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(long) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(long) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
#if !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030d0000
        return _PyLong_FromByteArray(bytes, sizeof(long),
                                     little, !is_unsigned);
#else
        PyObject *from_bytes, *result = NULL;
        PyObject *py_bytes = NULL, *arg_tuple = NULL, *kwds = NULL, *order_str = NULL;
        from_bytes = PyObject_GetAttrString((PyObject*)&PyLong_Type, "from_bytes");
        if (!from_bytes) return NULL;
        py_bytes = PyBytes_FromStringAndSize((char*)bytes, sizeof(long));
        if (!py_bytes) goto limited_bad;
        order_str = PyUnicode_FromString(little ? "little" : "big");
        if (!order_str) goto limited_bad;
        arg_tuple = PyTuple_Pack(2, py_bytes, order_str);
        if (!arg_tuple) goto limited_bad;
        if (!is_unsigned) {
            kwds = PyDict_New();
            if (!kwds) goto limited_bad;
            if (PyDict_SetItemString(kwds, "signed", __Pyx_NewRef(Py_True))) goto limited_bad;
        }
        result = PyObject_Call(from_bytes, arg_tuple, kwds);
        limited_bad:
        Py_XDECREF(kwds);
        Py_XDECREF(arg_tuple);
        Py_XDECREF(order_str);
        Py_XDECREF(py_bytes);
        Py_XDECREF(from_bytes);
        return result;
#endif
    }
}

/* FormatTypeName */
#if CYTHON_COMPILING_IN_LIMITED_API
static __Pyx_TypeName
__Pyx_PyType_GetName(PyTypeObject* tp)
{
    PyObject *name = __Pyx_PyObject_GetAttrStr((PyObject *)tp,
                                               __pyx_n_s_name);
    if (unlikely(name == NULL) || unlikely(!PyUnicode_Check(name))) {
        PyErr_Clear();
        Py_XDECREF(name);
        name = __Pyx_NewRef(__pyx_n_s__105);
    }
    return name;
}
#endif

/* CIntFromPyVerify */
#define __PYX_VERIFY_RETURN_INT(target_type, func_type, func_value)\
    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 0)
#define __PYX_VERIFY_RETURN_INT_EXC(target_type, func_type, func_value)\
    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 1)
#define __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, exc)\
    {\
        func_type value = func_value;\
        if (sizeof(target_type) < sizeof(func_type)) {\
            if (unlikely(value != (func_type) (target_type) value)) {\
                func_type zero = 0;\
                if (exc && unlikely(value == (func_type)-1 && PyErr_Occurred()))\
                    return (target_type) -1;\
                if (is_unsigned && unlikely(value < zero))\
                    goto raise_neg_overflow;\
                else\
                    goto raise_overflow;\
            }\
        }\
        return (target_type) value;\
    }

/* CIntFromPy */
static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const long neg_one = (long) -1, const_zero = (long) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if ((sizeof(long) < sizeof(long))) {
            __PYX_VERIFY_RETURN_INT(long, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (long) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            if (unlikely(__Pyx_PyLong_IsNeg(x))) {
                goto raise_neg_overflow;
            } else if (__Pyx_PyLong_IsCompact(x)) {
                __PYX_VERIFY_RETURN_INT(long, __Pyx_compact_upylong, __Pyx_PyLong_CompactValueUnsigned(x))
            } else {
                const digit* digits = __Pyx_PyLong_Digits(x);
                assert(__Pyx_PyLong_DigitCount(x) > 1);
                switch (__Pyx_PyLong_DigitCount(x)) {
                    case 2:
                        if ((8 * sizeof(long) > 1 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(long) >= 2 * PyLong_SHIFT)) {
                                return (long) (((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                            }
                        }
                        break;
                    case 3:
                        if ((8 * sizeof(long) > 2 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(long) >= 3 * PyLong_SHIFT)) {
                                return (long) (((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                            }
                        }
                        break;
                    case 4:
                        if ((8 * sizeof(long) > 3 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(long) >= 4 * PyLong_SHIFT)) {
                                return (long) (((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                            }
                        }
                        break;
                }
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030C00A7
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
#else
            {
                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                if (unlikely(result < 0))
                    return (long) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if ((sizeof(long) <= sizeof(unsigned long))) {
                __PYX_VERIFY_RETURN_INT_EXC(long, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if ((sizeof(long) <= sizeof(unsigned PY_LONG_LONG))) {
                __PYX_VERIFY_RETURN_INT_EXC(long, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            if (__Pyx_PyLong_IsCompact(x)) {
                __PYX_VERIFY_RETURN_INT(long, __Pyx_compact_pylong, __Pyx_PyLong_CompactValue(x))
            } else {
                const digit* digits = __Pyx_PyLong_Digits(x);
                assert(__Pyx_PyLong_DigitCount(x) > 1);
                switch (__Pyx_PyLong_SignedDigitCount(x)) {
                    case -2:
                        if ((8 * sizeof(long) - 1 > 1 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(long) - 1 > 2 * PyLong_SHIFT)) {
                                return (long) (((long)-1)*(((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                            }
                        }
                        break;
                    case 2:
                        if ((8 * sizeof(long) > 1 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(long) - 1 > 2 * PyLong_SHIFT)) {
                                return (long) ((((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                            }
                        }
                        break;
                    case -3:
                        if ((8 * sizeof(long) - 1 > 2 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(long) - 1 > 3 * PyLong_SHIFT)) {
                                return (long) (((long)-1)*(((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                            }
                        }
                        break;
                    case 3:
                        if ((8 * sizeof(long) > 2 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(long) - 1 > 3 * PyLong_SHIFT)) {
                                return (long) ((((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                            }
                        }
                        break;
                    case -4:
                        if ((8 * sizeof(long) - 1 > 3 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(long) - 1 > 4 * PyLong_SHIFT)) {
                                return (long) (((long)-1)*(((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                            }
                        }
                        break;
                    case 4:
                        if ((8 * sizeof(long) > 3 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(long) - 1 > 4 * PyLong_SHIFT)) {
                                return (long) ((((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                            }
                        }
                        break;
                }
            }
#endif
            if ((sizeof(long) <= sizeof(long))) {
                __PYX_VERIFY_RETURN_INT_EXC(long, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if ((sizeof(long) <= sizeof(PY_LONG_LONG))) {
                __PYX_VERIFY_RETURN_INT_EXC(long, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
            long val;
            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
#if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
#endif
            if (likely(v)) {
                int ret = -1;
#if PY_VERSION_HEX < 0x030d0000 && !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API) || defined(_PyLong_AsByteArray)
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                ret = _PyLong_AsByteArray((PyLongObject *)v,
                                           bytes, sizeof(val),
                                           is_little, !is_unsigned);
#else
                PyObject *stepval = NULL, *mask = NULL, *shift = NULL;
                int bits, remaining_bits, is_negative = 0;
                long idigit;
                int chunk_size = (sizeof(long) < 8) ? 30 : 62;
                if (unlikely(!PyLong_CheckExact(v))) {
                    PyObject *tmp = v;
                    v = PyNumber_Long(v);
                    assert(PyLong_CheckExact(v));
                    Py_DECREF(tmp);
                    if (unlikely(!v)) return (long) -1;
                }
#if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030B0000
                if (Py_SIZE(x) == 0)
                    return (long) 0;
                is_negative = Py_SIZE(x) < 0;
#else
                {
                    int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                    if (unlikely(result < 0))
                        return (long) -1;
                    is_negative = result == 1;
                }
#endif
                if (is_unsigned && unlikely(is_negative)) {
                    goto raise_neg_overflow;
                } else if (is_negative) {
                    stepval = PyNumber_Invert(v);
                    if (unlikely(!stepval))
                        return (long) -1;
                } else {
                    stepval = __Pyx_NewRef(v);
                }
                val = (long) 0;
                mask = PyLong_FromLong((1L << chunk_size) - 1); if (unlikely(!mask)) goto done;
                shift = PyLong_FromLong(chunk_size); if (unlikely(!shift)) goto done;
                for (bits = 0; bits < (int) sizeof(long) * 8 - chunk_size; bits += chunk_size) {
                    PyObject *tmp, *digit;
                    digit = PyNumber_And(stepval, mask);
                    if (unlikely(!digit)) goto done;
                    idigit = PyLong_AsLong(digit);
                    Py_DECREF(digit);
                    if (unlikely(idigit < 0)) goto done;
                    tmp = PyNumber_Rshift(stepval, shift);
                    if (unlikely(!tmp)) goto done;
                    Py_DECREF(stepval); stepval = tmp;
                    val |= ((long) idigit) << bits;
                    #if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030B0000
                    if (Py_SIZE(stepval) == 0)
                        goto unpacking_done;
                    #endif
                }
                idigit = PyLong_AsLong(stepval);
                if (unlikely(idigit < 0)) goto done;
                remaining_bits = ((int) sizeof(long) * 8) - bits - (is_unsigned ? 0 : 1);
                if (unlikely(idigit >= (1L << remaining_bits)))
                    goto raise_overflow;
                val |= ((long) idigit) << bits;
            #if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030B0000
            unpacking_done:
            #endif
                if (!is_unsigned) {
                    if (unlikely(val & (((long) 1) << (sizeof(long) * 8 - 1))))
                        goto raise_overflow;
                    if (is_negative)
                        val = ~val;
                }
                ret = 0;
            done:
                Py_XDECREF(shift);
                Py_XDECREF(mask);
                Py_XDECREF(stepval);
#endif
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
            return (long) -1;
        }
    } else {
        long val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (long) -1;
        val = __Pyx_PyInt_As_long(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to long");
    return (long) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to long");
    return (long) -1;
}

/* CIntFromPy */
static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const int neg_one = (int) -1, const_zero = (int) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if ((sizeof(int) < sizeof(long))) {
            __PYX_VERIFY_RETURN_INT(int, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (int) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            if (unlikely(__Pyx_PyLong_IsNeg(x))) {
                goto raise_neg_overflow;
            } else if (__Pyx_PyLong_IsCompact(x)) {
                __PYX_VERIFY_RETURN_INT(int, __Pyx_compact_upylong, __Pyx_PyLong_CompactValueUnsigned(x))
            } else {
                const digit* digits = __Pyx_PyLong_Digits(x);
                assert(__Pyx_PyLong_DigitCount(x) > 1);
                switch (__Pyx_PyLong_DigitCount(x)) {
                    case 2:
                        if ((8 * sizeof(int) > 1 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(int) >= 2 * PyLong_SHIFT)) {
                                return (int) (((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                            }
                        }
                        break;
                    case 3:
                        if ((8 * sizeof(int) > 2 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(int) >= 3 * PyLong_SHIFT)) {
                                return (int) (((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                            }
                        }
                        break;
                    case 4:
                        if ((8 * sizeof(int) > 3 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(int) >= 4 * PyLong_SHIFT)) {
                                return (int) (((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                            }
                        }
                        break;
                }
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030C00A7
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
#else
            {
                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                if (unlikely(result < 0))
                    return (int) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if ((sizeof(int) <= sizeof(unsigned long))) {
                __PYX_VERIFY_RETURN_INT_EXC(int, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if ((sizeof(int) <= sizeof(unsigned PY_LONG_LONG))) {
                __PYX_VERIFY_RETURN_INT_EXC(int, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            if (__Pyx_PyLong_IsCompact(x)) {
                __PYX_VERIFY_RETURN_INT(int, __Pyx_compact_pylong, __Pyx_PyLong_CompactValue(x))
            } else {
                const digit* digits = __Pyx_PyLong_Digits(x);
                assert(__Pyx_PyLong_DigitCount(x) > 1);
                switch (__Pyx_PyLong_SignedDigitCount(x)) {
                    case -2:
                        if ((8 * sizeof(int) - 1 > 1 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(int) - 1 > 2 * PyLong_SHIFT)) {
                                return (int) (((int)-1)*(((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                            }
                        }
                        break;
                    case 2:
                        if ((8 * sizeof(int) > 1 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(int) - 1 > 2 * PyLong_SHIFT)) {
                                return (int) ((((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                            }
                        }
                        break;
                    case -3:
                        if ((8 * sizeof(int) - 1 > 2 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(int) - 1 > 3 * PyLong_SHIFT)) {
                                return (int) (((int)-1)*(((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                            }
                        }
                        break;
                    case 3:
                        if ((8 * sizeof(int) > 2 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(int) - 1 > 3 * PyLong_SHIFT)) {
                                return (int) ((((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                            }
                        }
                        break;
                    case -4:
                        if ((8 * sizeof(int) - 1 > 3 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(int) - 1 > 4 * PyLong_SHIFT)) {
                                return (int) (((int)-1)*(((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                            }
                        }
                        break;
                    case 4:
                        if ((8 * sizeof(int) > 3 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(int) - 1 > 4 * PyLong_SHIFT)) {
                                return (int) ((((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                            }
                        }
                        break;
                }
            }
#endif
            if ((sizeof(int) <= sizeof(long))) {
                __PYX_VERIFY_RETURN_INT_EXC(int, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if ((sizeof(int) <= sizeof(PY_LONG_LONG))) {
                __PYX_VERIFY_RETURN_INT_EXC(int, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
            int val;
            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
#if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
#endif
            if (likely(v)) {
                int ret = -1;
#if PY_VERSION_HEX < 0x030d0000 && !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API) || defined(_PyLong_AsByteArray)
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                ret = _PyLong_AsByteArray((PyLongObject *)v,
                                           bytes, sizeof(val),
                                           is_little, !is_unsigned);
#else
                PyObject *stepval = NULL, *mask = NULL, *shift = NULL;
                int bits, remaining_bits, is_negative = 0;
                long idigit;
                int chunk_size = (sizeof(long) < 8) ? 30 : 62;
                if (unlikely(!PyLong_CheckExact(v))) {
                    PyObject *tmp = v;
                    v = PyNumber_Long(v);
                    assert(PyLong_CheckExact(v));
                    Py_DECREF(tmp);
                    if (unlikely(!v)) return (int) -1;
                }
#if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030B0000
                if (Py_SIZE(x) == 0)
                    return (int) 0;
                is_negative = Py_SIZE(x) < 0;
#else
                {
                    int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                    if (unlikely(result < 0))
                        return (int) -1;
                    is_negative = result == 1;
                }
#endif
                if (is_unsigned && unlikely(is_negative)) {
                    goto raise_neg_overflow;
                } else if (is_negative) {
                    stepval = PyNumber_Invert(v);
                    if (unlikely(!stepval))
                        return (int) -1;
                } else {
                    stepval = __Pyx_NewRef(v);
                }
                val = (int) 0;
                mask = PyLong_FromLong((1L << chunk_size) - 1); if (unlikely(!mask)) goto done;
                shift = PyLong_FromLong(chunk_size); if (unlikely(!shift)) goto done;
                for (bits = 0; bits < (int) sizeof(int) * 8 - chunk_size; bits += chunk_size) {
                    PyObject *tmp, *digit;
                    digit = PyNumber_And(stepval, mask);
                    if (unlikely(!digit)) goto done;
                    idigit = PyLong_AsLong(digit);
                    Py_DECREF(digit);
                    if (unlikely(idigit < 0)) goto done;
                    tmp = PyNumber_Rshift(stepval, shift);
                    if (unlikely(!tmp)) goto done;
                    Py_DECREF(stepval); stepval = tmp;
                    val |= ((int) idigit) << bits;
                    #if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030B0000
                    if (Py_SIZE(stepval) == 0)
                        goto unpacking_done;
                    #endif
                }
                idigit = PyLong_AsLong(stepval);
                if (unlikely(idigit < 0)) goto done;
                remaining_bits = ((int) sizeof(int) * 8) - bits - (is_unsigned ? 0 : 1);
                if (unlikely(idigit >= (1L << remaining_bits)))
                    goto raise_overflow;
                val |= ((int) idigit) << bits;
            #if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030B0000
            unpacking_done:
            #endif
                if (!is_unsigned) {
                    if (unlikely(val & (((int) 1) << (sizeof(int) * 8 - 1))))
                        goto raise_overflow;
                    if (is_negative)
                        val = ~val;
                }
                ret = 0;
            done:
                Py_XDECREF(shift);
                Py_XDECREF(mask);
                Py_XDECREF(stepval);
#endif
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
            return (int) -1;
        }
    } else {
        int val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (int) -1;
        val = __Pyx_PyInt_As_int(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to int");
    return (int) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to int");
    return (int) -1;
}

/* CheckBinaryVersion */
static unsigned long __Pyx_get_runtime_version(void) {
#if __PYX_LIMITED_VERSION_HEX >= 0x030B00A4
    return Py_Version & ~0xFFUL;
#else
    const char* rt_version = Py_GetVersion();
    unsigned long version = 0;
    unsigned long factor = 0x01000000UL;
    unsigned int digit = 0;
    int i = 0;
    while (factor) {
        while ('0' <= rt_version[i] && rt_version[i] <= '9') {
            digit = digit * 10 + (unsigned int) (rt_version[i] - '0');
            ++i;
        }
        version += factor * digit;
        if (rt_version[i] != '.')
            break;
        digit = 0;
        factor >>= 8;
        ++i;
    }
    return version;
#endif
}
static int __Pyx_check_binary_version(unsigned long ct_version, unsigned long rt_version, int allow_newer) {
    const unsigned long MAJOR_MINOR = 0xFFFF0000UL;
    if ((rt_version & MAJOR_MINOR) == (ct_version & MAJOR_MINOR))
        return 0;
    if (likely(allow_newer && (rt_version & MAJOR_MINOR) > (ct_version & MAJOR_MINOR)))
        return 1;
    {
        char message[200];
        PyOS_snprintf(message, sizeof(message),
                      "compile time Python version %d.%d "
                      "of module '%.100s' "
                      "%s "
                      "runtime version %d.%d",
                       (int) (ct_version >> 24), (int) ((ct_version >> 16) & 0xFF),
                       __Pyx_MODULE_NAME,
                       (allow_newer) ? "was newer than" : "does not match",
                       (int) (rt_version >> 24), (int) ((rt_version >> 16) & 0xFF)
       );
        return PyErr_WarnEx(NULL, message, 1);
    }
}

/* InitStrings */
#if PY_MAJOR_VERSION >= 3
static int __Pyx_InitString(__Pyx_StringTabEntry t, PyObject **str) {
    if (t.is_unicode | t.is_str) {
        if (t.intern) {
            *str = PyUnicode_InternFromString(t.s);
        } else if (t.encoding) {
            *str = PyUnicode_Decode(t.s, t.n - 1, t.encoding, NULL);
        } else {
            *str = PyUnicode_FromStringAndSize(t.s, t.n - 1);
        }
    } else {
        *str = PyBytes_FromStringAndSize(t.s, t.n - 1);
    }
    if (!*str)
        return -1;
    if (PyObject_Hash(*str) == -1)
        return -1;
    return 0;
}
#endif
static int __Pyx_InitStrings(__Pyx_StringTabEntry *t) {
    while (t->p) {
        #if PY_MAJOR_VERSION >= 3
        __Pyx_InitString(*t, t->p);
        #else
        if (t->is_unicode) {
            *t->p = PyUnicode_DecodeUTF8(t->s, t->n - 1, NULL);
        } else if (t->intern) {
            *t->p = PyString_InternFromString(t->s);
        } else {
            *t->p = PyString_FromStringAndSize(t->s, t->n - 1);
        }
        if (!*t->p)
            return -1;
        if (PyObject_Hash(*t->p) == -1)
            return -1;
        #endif
        ++t;
    }
    return 0;
}

#include <string.h>
static CYTHON_INLINE Py_ssize_t __Pyx_ssize_strlen(const char *s) {
    size_t len = strlen(s);
    if (unlikely(len > (size_t) PY_SSIZE_T_MAX)) {
        PyErr_SetString(PyExc_OverflowError, "byte string is too long");
        return -1;
    }
    return (Py_ssize_t) len;
}
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char* c_str) {
    Py_ssize_t len = __Pyx_ssize_strlen(c_str);
    if (unlikely(len < 0)) return NULL;
    return __Pyx_PyUnicode_FromStringAndSize(c_str, len);
}
static CYTHON_INLINE PyObject* __Pyx_PyByteArray_FromString(const char* c_str) {
    Py_ssize_t len = __Pyx_ssize_strlen(c_str);
    if (unlikely(len < 0)) return NULL;
    return PyByteArray_FromStringAndSize(c_str, len);
}
static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject* o) {
    Py_ssize_t ignore;
    return __Pyx_PyObject_AsStringAndSize(o, &ignore);
}
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
#if !CYTHON_PEP393_ENABLED
static const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
    char* defenc_c;
    PyObject* defenc = _PyUnicode_AsDefaultEncodedString(o, NULL);
    if (!defenc) return NULL;
    defenc_c = PyBytes_AS_STRING(defenc);
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
    {
        char* end = defenc_c + PyBytes_GET_SIZE(defenc);
        char* c;
        for (c = defenc_c; c < end; c++) {
            if ((unsigned char) (*c) >= 128) {
                PyUnicode_AsASCIIString(o);
                return NULL;
            }
        }
    }
#endif
    *length = PyBytes_GET_SIZE(defenc);
    return defenc_c;
}
#else
static CYTHON_INLINE const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
    if (unlikely(__Pyx_PyUnicode_READY(o) == -1)) return NULL;
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
    if (likely(PyUnicode_IS_ASCII(o))) {
        *length = PyUnicode_GET_LENGTH(o);
        return PyUnicode_AsUTF8(o);
    } else {
        PyUnicode_AsASCIIString(o);
        return NULL;
    }
#else
    return PyUnicode_AsUTF8AndSize(o, length);
#endif
}
#endif
#endif
static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
    if (
#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
            __Pyx_sys_getdefaultencoding_not_ascii &&
#endif
            PyUnicode_Check(o)) {
        return __Pyx_PyUnicode_AsStringAndSize(o, length);
    } else
#endif
#if (!CYTHON_COMPILING_IN_PYPY && !CYTHON_COMPILING_IN_LIMITED_API) || (defined(PyByteArray_AS_STRING) && defined(PyByteArray_GET_SIZE))
    if (PyByteArray_Check(o)) {
        *length = PyByteArray_GET_SIZE(o);
        return PyByteArray_AS_STRING(o);
    } else
#endif
    {
        char* result;
        int r = PyBytes_AsStringAndSize(o, &result, length);
        if (unlikely(r < 0)) {
            return NULL;
        } else {
            return result;
        }
    }
}
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject* x) {
   int is_true = x == Py_True;
   if (is_true | (x == Py_False) | (x == Py_None)) return is_true;
   else return PyObject_IsTrue(x);
}
static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject* x) {
    int retval;
    if (unlikely(!x)) return -1;
    retval = __Pyx_PyObject_IsTrue(x);
    Py_DECREF(x);
    return retval;
}
static PyObject* __Pyx_PyNumber_IntOrLongWrongResultType(PyObject* result, const char* type_name) {
    __Pyx_TypeName result_type_name = __Pyx_PyType_GetName(Py_TYPE(result));
#if PY_MAJOR_VERSION >= 3
    if (PyLong_Check(result)) {
        if (PyErr_WarnFormat(PyExc_DeprecationWarning, 1,
                "__int__ returned non-int (type " __Pyx_FMT_TYPENAME ").  "
                "The ability to return an instance of a strict subclass of int is deprecated, "
                "and may be removed in a future version of Python.",
                result_type_name)) {
            __Pyx_DECREF_TypeName(result_type_name);
            Py_DECREF(result);
            return NULL;
        }
        __Pyx_DECREF_TypeName(result_type_name);
        return result;
    }
#endif
    PyErr_Format(PyExc_TypeError,
                 "__%.4s__ returned non-%.4s (type " __Pyx_FMT_TYPENAME ")",
                 type_name, type_name, result_type_name);
    __Pyx_DECREF_TypeName(result_type_name);
    Py_DECREF(result);
    return NULL;
}
static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x) {
#if CYTHON_USE_TYPE_SLOTS
  PyNumberMethods *m;
#endif
  const char *name = NULL;
  PyObject *res = NULL;
#if PY_MAJOR_VERSION < 3
  if (likely(PyInt_Check(x) || PyLong_Check(x)))
#else
  if (likely(PyLong_Check(x)))
#endif
    return __Pyx_NewRef(x);
#if CYTHON_USE_TYPE_SLOTS
  m = Py_TYPE(x)->tp_as_number;
  #if PY_MAJOR_VERSION < 3
  if (m && m->nb_int) {
    name = "int";
    res = m->nb_int(x);
  }
  else if (m && m->nb_long) {
    name = "long";
    res = m->nb_long(x);
  }
  #else
  if (likely(m && m->nb_int)) {
    name = "int";
    res = m->nb_int(x);
  }
  #endif
#else
  if (!PyBytes_CheckExact(x) && !PyUnicode_CheckExact(x)) {
    res = PyNumber_Int(x);
  }
#endif
  if (likely(res)) {
#if PY_MAJOR_VERSION < 3
    if (unlikely(!PyInt_Check(res) && !PyLong_Check(res))) {
#else
    if (unlikely(!PyLong_CheckExact(res))) {
#endif
        return __Pyx_PyNumber_IntOrLongWrongResultType(res, name);
    }
  }
  else if (!PyErr_Occurred()) {
    PyErr_SetString(PyExc_TypeError,
                    "an integer is required");
  }
  return res;
}
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) {
  Py_ssize_t ival;
  PyObject *x;
#if PY_MAJOR_VERSION < 3
  if (likely(PyInt_CheckExact(b))) {
    if (sizeof(Py_ssize_t) >= sizeof(long))
        return PyInt_AS_LONG(b);
    else
        return PyInt_AsSsize_t(b);
  }
#endif
  if (likely(PyLong_CheckExact(b))) {
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(__Pyx_PyLong_IsCompact(b))) {
        return __Pyx_PyLong_CompactValue(b);
    } else {
      const digit* digits = __Pyx_PyLong_Digits(b);
      const Py_ssize_t size = __Pyx_PyLong_SignedDigitCount(b);
      switch (size) {
         case 2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case 3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case 4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
      }
    }
    #endif
    return PyLong_AsSsize_t(b);
  }
  x = PyNumber_Index(b);
  if (!x) return -1;
  ival = PyInt_AsSsize_t(x);
  Py_DECREF(x);
  return ival;
}
static CYTHON_INLINE Py_hash_t __Pyx_PyIndex_AsHash_t(PyObject* o) {
  if (sizeof(Py_hash_t) == sizeof(Py_ssize_t)) {
    return (Py_hash_t) __Pyx_PyIndex_AsSsize_t(o);
#if PY_MAJOR_VERSION < 3
  } else if (likely(PyInt_CheckExact(o))) {
    return PyInt_AS_LONG(o);
#endif
  } else {
    Py_ssize_t ival;
    PyObject *x;
    x = PyNumber_Index(o);
    if (!x) return -1;
    ival = PyInt_AsLong(x);
    Py_DECREF(x);
    return ival;
  }
}
static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b) {
  return b ? __Pyx_NewRef(Py_True) : __Pyx_NewRef(Py_False);
}
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
    return PyInt_FromSize_t(ival);
}


/* #### Code section: utility_code_pragmas_end ### */
#ifdef _MSC_VER
#pragma warning( pop )
#endif



/* #### Code section: end ### */
#endif /* Py_PYTHON_H */
