/* Generated by Cython 0.29.36 */

/* 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 */
#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 < 0x02060000 || (0x03000000 <= PY_VERSION_HEX && PY_VERSION_HEX < 0x03030000)
    #error Cython requires Python 2.6+ or Python 3.3+.
#else
#define CYTHON_ABI "0_29_36"
#define CYTHON_HEX_VERSION 0x001D24F0
#define CYTHON_FUTURE_DIVISION 1
#include <stddef.h>
#ifndef offsetof
  #define offsetof(type, member) ( (size_t) & ((type*)0) -> member )
#endif
#if !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
  #if PY_VERSION_HEX >= 0x02070000
    #define HAVE_LONG_LONG
  #endif
#endif
#ifndef PY_LONG_LONG
  #define PY_LONG_LONG LONG_LONG
#endif
#ifndef Py_HUGE_VAL
  #define Py_HUGE_VAL HUGE_VAL
#endif
#ifdef PYPY_VERSION
  #define CYTHON_COMPILING_IN_PYPY 1
  #define CYTHON_COMPILING_IN_PYSTON 0
  #define CYTHON_COMPILING_IN_CPYTHON 0
  #define CYTHON_COMPILING_IN_NOGIL 0
  #undef CYTHON_USE_TYPE_SLOTS
  #define CYTHON_USE_TYPE_SLOTS 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_PYCALL
  #define CYTHON_FAST_PYCALL 0
  #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_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
#elif defined(PYSTON_VERSION)
  #define CYTHON_COMPILING_IN_PYPY 0
  #define CYTHON_COMPILING_IN_PYSTON 1
  #define CYTHON_COMPILING_IN_CPYTHON 0
  #define CYTHON_COMPILING_IN_NOGIL 0
  #ifndef CYTHON_USE_TYPE_SLOTS
    #define CYTHON_USE_TYPE_SLOTS 1
  #endif
  #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
  #ifndef CYTHON_USE_UNICODE_INTERNALS
    #define CYTHON_USE_UNICODE_INTERNALS 1
  #endif
  #undef CYTHON_USE_UNICODE_WRITER
  #define CYTHON_USE_UNICODE_WRITER 0
  #undef CYTHON_USE_PYLONG_INTERNALS
  #define CYTHON_USE_PYLONG_INTERNALS 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_PYCALL
  #define CYTHON_FAST_PYCALL 0
  #undef CYTHON_PEP489_MULTI_PHASE_INIT
  #define CYTHON_PEP489_MULTI_PHASE_INIT 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
#elif defined(PY_NOGIL)
  #define CYTHON_COMPILING_IN_PYPY 0
  #define CYTHON_COMPILING_IN_PYSTON 0
  #define CYTHON_COMPILING_IN_CPYTHON 0
  #define CYTHON_COMPILING_IN_NOGIL 1
  #ifndef CYTHON_USE_TYPE_SLOTS
    #define CYTHON_USE_TYPE_SLOTS 1
  #endif
  #undef CYTHON_USE_PYTYPE_LOOKUP
  #define CYTHON_USE_PYTYPE_LOOKUP 0
  #ifndef CYTHON_USE_ASYNC_SLOTS
    #define CYTHON_USE_ASYNC_SLOTS 1
  #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
  #undef CYTHON_USE_PYLONG_INTERNALS
  #define CYTHON_USE_PYLONG_INTERNALS 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_PYCALL
  #define CYTHON_FAST_PYCALL 0
  #ifndef CYTHON_PEP489_MULTI_PHASE_INIT
    #define CYTHON_PEP489_MULTI_PHASE_INIT 1
  #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
#else
  #define CYTHON_COMPILING_IN_PYPY 0
  #define CYTHON_COMPILING_IN_PYSTON 0
  #define CYTHON_COMPILING_IN_CPYTHON 1
  #define CYTHON_COMPILING_IN_NOGIL 0
  #ifndef CYTHON_USE_TYPE_SLOTS
    #define CYTHON_USE_TYPE_SLOTS 1
  #endif
  #if PY_VERSION_HEX < 0x02070000
    #undef CYTHON_USE_PYTYPE_LOOKUP
    #define CYTHON_USE_PYTYPE_LOOKUP 0
  #elif !defined(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
  #if PY_VERSION_HEX < 0x02070000
    #undef CYTHON_USE_PYLONG_INTERNALS
    #define CYTHON_USE_PYLONG_INTERNALS 0
  #elif !defined(CYTHON_USE_PYLONG_INTERNALS)
    #define CYTHON_USE_PYLONG_INTERNALS (PY_VERSION_HEX < 0x030C00A5)
  #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
  #if PY_VERSION_HEX >= 0x030B00A4
    #undef CYTHON_FAST_THREAD_STATE
    #define CYTHON_FAST_THREAD_STATE 0
  #elif !defined(CYTHON_FAST_THREAD_STATE)
    #define CYTHON_FAST_THREAD_STATE 1
  #endif
  #ifndef CYTHON_FAST_PYCALL
    #define CYTHON_FAST_PYCALL (PY_VERSION_HEX < 0x030A0000)
  #endif
  #ifndef CYTHON_PEP489_MULTI_PHASE_INIT
    #define CYTHON_PEP489_MULTI_PHASE_INIT (PY_VERSION_HEX >= 0x03050000)
  #endif
  #ifndef CYTHON_USE_TP_FINALIZE
    #define CYTHON_USE_TP_FINALIZE (PY_VERSION_HEX >= 0x030400a1)
  #endif
  #ifndef CYTHON_USE_DICT_VERSIONS
    #define CYTHON_USE_DICT_VERSIONS ((PY_VERSION_HEX >= 0x030600B1) && (PY_VERSION_HEX < 0x030C00A5))
  #endif
  #if PY_VERSION_HEX >= 0x030B00A4
    #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 (PY_VERSION_HEX >= 0x030700A3)
  #endif
  #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC
    #define CYTHON_UPDATE_DESCRIPTOR_DOC 1
  #endif
#endif
#if !defined(CYTHON_FAST_PYCCALL)
#define CYTHON_FAST_PYCCALL  (CYTHON_FAST_PYCALL && PY_VERSION_HEX >= 0x030600B1)
#endif
#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(__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_MAYBE_UNUSED_VAR
#  if defined(__cplusplus)
     template<class T> void CYTHON_MAYBE_UNUSED_VAR( const T& ) { }
#  else
#    define CYTHON_MAYBE_UNUSED_VAR(x) (void)(x)
#  endif
#endif
#ifndef CYTHON_NCP_UNUSED
# if CYTHON_COMPILING_IN_CPYTHON
#  define CYTHON_NCP_UNUSED
# else
#  define CYTHON_NCP_UNUSED CYTHON_UNUSED
# 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 int      uint32_t;
        #else
           typedef unsigned __int8   uint8_t;
           typedef unsigned __int32  uint32_t;
        #endif
    #endif
#else
   #include <stdint.h>
#endif
#ifndef CYTHON_FALLTHROUGH
  #if defined(__cplusplus) && __cplusplus >= 201103L
    #if __has_cpp_attribute(fallthrough)
      #define CYTHON_FALLTHROUGH [[fallthrough]]
    #elif __has_cpp_attribute(clang::fallthrough)
      #define CYTHON_FALLTHROUGH [[clang::fallthrough]]
    #elif __has_cpp_attribute(gnu::fallthrough)
      #define CYTHON_FALLTHROUGH [[gnu::fallthrough]]
    #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

#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_PyCode_New(a, 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)
  #define __Pyx_DefaultClassType PyClass_Type
#else
  #define __Pyx_BUILTIN_MODULE_NAME "builtins"
  #define __Pyx_DefaultClassType PyType_Type
#if PY_VERSION_HEX >= 0x030B00A1
    static CYTHON_INLINE PyCodeObject* __Pyx_PyCode_New(int a, 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 *kwds=NULL, *argcount=NULL, *posonlyargcount=NULL, *kwonlyargcount=NULL;
        PyObject *nlocals=NULL, *stacksize=NULL, *flags=NULL, *replace=NULL, *call_result=NULL, *empty=NULL;
        const char *fn_cstr=NULL;
        const char *name_cstr=NULL;
        PyCodeObject* co=NULL;
        PyObject *type, *value, *traceback;
        PyErr_Fetch(&type, &value, &traceback);
        if (!(kwds=PyDict_New())) goto end;
        if (!(argcount=PyLong_FromLong(a))) goto end;
        if (PyDict_SetItemString(kwds, "co_argcount", argcount) != 0) goto end;
        if (!(posonlyargcount=PyLong_FromLong(0))) goto end;
        if (PyDict_SetItemString(kwds, "co_posonlyargcount", posonlyargcount) != 0) goto end;
        if (!(kwonlyargcount=PyLong_FromLong(k))) goto end;
        if (PyDict_SetItemString(kwds, "co_kwonlyargcount", kwonlyargcount) != 0) goto end;
        if (!(nlocals=PyLong_FromLong(l))) goto end;
        if (PyDict_SetItemString(kwds, "co_nlocals", nlocals) != 0) goto end;
        if (!(stacksize=PyLong_FromLong(s))) goto end;
        if (PyDict_SetItemString(kwds, "co_stacksize", stacksize) != 0) goto end;
        if (!(flags=PyLong_FromLong(f))) goto end;
        if (PyDict_SetItemString(kwds, "co_flags", flags) != 0) goto end;
        if (PyDict_SetItemString(kwds, "co_code", code) != 0) goto end;
        if (PyDict_SetItemString(kwds, "co_consts", c) != 0) goto end;
        if (PyDict_SetItemString(kwds, "co_names", n) != 0) goto end;
        if (PyDict_SetItemString(kwds, "co_varnames", v) != 0) goto end;
        if (PyDict_SetItemString(kwds, "co_freevars", fv) != 0) goto end;
        if (PyDict_SetItemString(kwds, "co_cellvars", cell) != 0) goto end;
        if (PyDict_SetItemString(kwds, "co_linetable", lnos) != 0) goto end;
        if (!(fn_cstr=PyUnicode_AsUTF8AndSize(fn, NULL))) goto end;
        if (!(name_cstr=PyUnicode_AsUTF8AndSize(name, NULL))) goto end;
        if (!(co = PyCode_NewEmpty(fn_cstr, name_cstr, fline))) goto end;
        if (!(replace = PyObject_GetAttrString((PyObject*)co, "replace"))) goto cleanup_code_too;
        if (!(empty = PyTuple_New(0))) goto cleanup_code_too; // unfortunately __pyx_empty_tuple isn't available here
        if (!(call_result = PyObject_Call(replace, empty, kwds))) goto cleanup_code_too;
        Py_XDECREF((PyObject*)co);
        co = (PyCodeObject*)call_result;
        call_result = NULL;
        if (0) {
            cleanup_code_too:
            Py_XDECREF((PyObject*)co);
            co = NULL;
        }
        end:
        Py_XDECREF(kwds);
        Py_XDECREF(argcount);
        Py_XDECREF(posonlyargcount);
        Py_XDECREF(kwonlyargcount);
        Py_XDECREF(nlocals);
        Py_XDECREF(stacksize);
        Py_XDECREF(replace);
        Py_XDECREF(call_result);
        Py_XDECREF(empty);
        if (type) {
            PyErr_Restore(type, value, traceback);
        }
        return co;
    }
#else
  #define __Pyx_PyCode_New(a, 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
  #define __Pyx_DefaultClassType PyType_Type
#endif
#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 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 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
  #define __Pyx_PyCFunctionFast _PyCFunctionFast
  #define __Pyx_PyCFunctionFastWithKeywords _PyCFunctionFastWithKeywords
#endif
#if CYTHON_FAST_PYCCALL
#define __Pyx_PyFastCFunction_Check(func)\
    ((PyCFunction_Check(func) && (METH_FASTCALL == (PyCFunction_GET_FLAGS(func) & ~(METH_CLASS | METH_STATIC | METH_COEXIST | METH_KEYWORDS | METH_STACKLESS)))))
#else
#define __Pyx_PyFastCFunction_Check(func) 0
#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_CPYTHON && PY_VERSION_HEX < 0x030400A1
  #define PyMem_RawMalloc(n)           PyMem_Malloc(n)
  #define PyMem_RawRealloc(p, n)       PyMem_Realloc(p, n)
  #define PyMem_RawFree(p)             PyMem_Free(p)
#endif
#if CYTHON_COMPILING_IN_PYSTON
  #define __Pyx_PyCode_HasFreeVars(co)  PyCode_HasFreeVars(co)
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno) 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_FAST_THREAD_STATE || PY_VERSION_HEX < 0x02070000
  #define __Pyx_PyThreadState_Current PyThreadState_GET()
#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 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 CYTHON_COMPILING_IN_CPYTHON || 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 >= 0x030500A1 && CYTHON_USE_UNICODE_INTERNALS
#define __Pyx_PyDict_GetItemStr(dict, name)  _PyDict_GetItem_KnownHash(dict, name, ((PyASCIIObject *) name)->hash)
#else
#define __Pyx_PyDict_GetItemStr(dict, name)  PyDict_GetItem(dict, name)
#endif
#if 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)         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, 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) ? 65535 : 1114111)
  #define __Pyx_PyUnicode_KIND(u)         (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] = 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 && !defined(PyUnicode_Contains)
  #define PyUnicode_Contains(u, s)  PySequence_Contains(u, s)
#endif
#if CYTHON_COMPILING_IN_PYPY && !defined(PyByteArray_Check)
  #define PyByteArray_Check(obj)  PyObject_TypeCheck(obj, &PyByteArray_Type)
#endif
#if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Format)
  #define PyObject_Format(obj, fmt)  PyObject_CallMethod(obj, "__format__", "O", fmt)
#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
#ifndef PySet_CheckExact
  #define PySet_CheckExact(obj)        (Py_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_SIZE(seq)  Py_SIZE(seq)
#else
  #define __Pyx_PySequence_SIZE(seq)  PySequence_Size(seq)
#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 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
#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 PY_MAJOR_VERSION >= 3
  #define __Pyx_PyMethod_New(func, self, klass) ((self) ? ((void)(klass), PyMethod_New(func, self)) : __Pyx_NewRef(func))
#else
  #define __Pyx_PyMethod_New(func, self, klass) PyMethod_New(func, self, klass)
#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; }

#ifndef __PYX_EXTERN_C
  #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 const char* __Pyx_PyObject_AsString(PyObject*);
static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length);
#define __Pyx_PyByteArray_FromString(s) PyByteArray_FromStringAndSize((const char*)s, strlen((const char*)s))
#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_PyObject_AsString(s))
#define __Pyx_PyObject_AsWritableSString(s)    ((signed char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsWritableUString(s)    ((unsigned char*) __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)
static CYTHON_INLINE size_t __Pyx_Py_UNICODE_strlen(const Py_UNICODE *u) {
    const Py_UNICODE *u_end = u;
    while (*u_end++) ;
    return (size_t)(u_end - u - 1);
}
#define __Pyx_PyUnicode_FromUnicode(u)       PyUnicode_FromUnicode(u, __Pyx_Py_UNICODE_strlen(u))
#define __Pyx_PyUnicode_FromUnicodeAndLength PyUnicode_FromUnicode
#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
#define __Pyx_PyNumber_Float(x) (PyFloat_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Float(x))
#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
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] = 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
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; }

static PyObject *__pyx_m = NULL;
static PyObject *__pyx_d;
static PyObject *__pyx_b;
static PyObject *__pyx_cython_runtime = NULL;
static PyObject *__pyx_empty_tuple;
static PyObject *__pyx_empty_bytes;
static PyObject *__pyx_empty_unicode;
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)
    #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


static const char *__pyx_f[] = {
  "Lib/fontTools/misc/bezierTools.py",
};
/* Declarations.proto */
#if CYTHON_CCOMPLEX
  #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);


/*--- Type declarations ---*/
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__splitQuadratic;
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr;
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubic;
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3_genexpr;
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_splitCubicAtTC;
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__splitCubicAtTC;
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6__curve_line_intersections_t;
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr;
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_8__curve_curve_intersections_t;
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_9__segmentrepr;
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_10_genexpr;
struct __pyx_defaults;
typedef struct __pyx_defaults __pyx_defaults;
struct __pyx_defaults {
  PyObject *__pyx_arg_sqrt;
};

/* "fontTools/misc/bezierTools.py":507
 * 
 * 
 * def splitQuadratic(pt1, pt2, pt3, where, isHorizontal):             # <<<<<<<<<<<<<<
 *     """Split a quadratic Bezier curve at a given coordinate.
 * 
 */
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__splitQuadratic {
  PyObject_HEAD
  PyObject *__pyx_v_solutions;
};


/* "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_1_genexpr {
  PyObject_HEAD
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__splitQuadratic *__pyx_outer_scope;
  PyObject *__pyx_v_t;
};


/* "fontTools/misc/bezierTools.py":552
 * 
 * 
 * def splitCubic(pt1, pt2, pt3, pt4, where, isHorizontal):             # <<<<<<<<<<<<<<
 *     """Split a cubic Bezier curve at a given coordinate.
 * 
 */
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubic {
  PyObject_HEAD
  PyObject *__pyx_v_solutions;
};


/* "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_3_genexpr {
  PyObject_HEAD
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubic *__pyx_outer_scope;
  PyObject *__pyx_v_t;
};


/* "fontTools/misc/bezierTools.py":647
 *     d=cython.complex,
 * )
 * def splitCubicAtTC(pt1, pt2, pt3, pt4, *ts):             # <<<<<<<<<<<<<<
 *     """Split a cubic Bezier curve at one or more values of t.
 * 
 */
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_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":778
 *     d1=cython.complex,
 * )
 * def _splitCubicAtTC(a, b, c, d, *ts):             # <<<<<<<<<<<<<<
 *     ts = list(ts)
 *     ts.insert(0, 0.0)
 */
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__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":1235
 * 
 * 
 * def _curve_line_intersections_t(curve, line):             # <<<<<<<<<<<<<<
 *     aligned_curve = _alignment_transformation(line).transformPoints(curve)
 *     if len(curve) == 3:
 */
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6__curve_line_intersections_t {
  PyObject_HEAD
  PyObject *__pyx_v_intersections;
};


/* "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_7_genexpr {
  PyObject_HEAD
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6__curve_line_intersections_t *__pyx_outer_scope;
  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_8__curve_curve_intersections_t {
  PyObject_HEAD
  PyObject *__pyx_v_precision;
};


/* "fontTools/misc/bezierTools.py":1449
 * 
 * 
 * def _segmentrepr(obj):             # <<<<<<<<<<<<<<
 *     """
 *     >>> _segmentrepr([1, [2, 3], [], [[2, [3, 4], [0.1, 2.2]]]])
 */
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_9__segmentrepr {
  PyObject_HEAD
  PyObject *__pyx_v_it;
};


/* "fontTools/misc/bezierTools.py":1459
 *         return "%g" % obj
 *     else:
 *         return "(%s)" % ", ".join(_segmentrepr(x) for x in it)             # <<<<<<<<<<<<<<
 * 
 * 
 */
struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_10_genexpr {
  PyObject_HEAD
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_9__segmentrepr *__pyx_outer_scope;
  PyObject *__pyx_v_x;
};


/* --- Runtime support code (head) --- */
/* Refnanny.proto */
#ifndef CYTHON_REFNANNY
  #define CYTHON_REFNANNY 0
#endif
#if CYTHON_REFNANNY
  typedef struct {
    void (*INCREF)(void*, PyObject*, int);
    void (*DECREF)(void*, PyObject*, int);
    void (*GOTREF)(void*, PyObject*, int);
    void (*GIVEREF)(void*, PyObject*, int);
    void* (*SetupContext)(const char*, int, 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__);\
          }
#else
  #define __Pyx_RefNannySetupContext(name, acquire_gil)\
          __pyx_refnanny = __Pyx_RefNanny->SetupContext((name), __LINE__, __FILE__)
#endif
  #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) {__Pyx_INCREF(r); }} while(0)
  #define __Pyx_XDECREF(r)  do { if((r) != NULL) {__Pyx_DECREF(r); }} while(0)
  #define __Pyx_XGOTREF(r)  do { if((r) != NULL) {__Pyx_GOTREF(r); }} while(0)
  #define __Pyx_XGIVEREF(r) do { if((r) != NULL) {__Pyx_GIVEREF(r);}} while(0)
#else
  #define __Pyx_RefNannyDeclarations
  #define __Pyx_RefNannySetupContext(name, acquire_gil)
  #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_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)

/* 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

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

/* 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 **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
#define __Pyx_PyFunction_FastCall(func, args, nargs)\
    __Pyx_PyFunction_FastCallDict((func), (args), (nargs), NULL)
#if 1 || PY_VERSION_HEX < 0x030600B1
static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, Py_ssize_t nargs, PyObject *kwargs);
#else
#define __Pyx_PyFunction_FastCallDict(func, args, nargs, kwargs) _PyFunction_FastCallDict(func, args, nargs, 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_FAST_PYCALL
  static size_t __pyx_pyframe_localsplus_offset = 0;
  #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 __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 // CYTHON_FAST_PYCALL
#endif

/* PyCFunctionFastCall.proto */
#if CYTHON_FAST_PYCCALL
static CYTHON_INLINE PyObject *__Pyx_PyCFunction_FastCall(PyObject *func, PyObject **args, Py_ssize_t nargs);
#else
#define __Pyx_PyCFunction_FastCall(func, args, nargs)  (assert(0), NULL)
#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

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

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

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

/* PyThreadStateGet.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_PyThreadState_declare  PyThreadState *__pyx_tstate;
#define __Pyx_PyThreadState_assign  __pyx_tstate = __Pyx_PyThreadState_Current;
#define __Pyx_PyErr_Occurred()  __pyx_tstate->curexc_type
#else
#define __Pyx_PyThreadState_declare
#define __Pyx_PyThreadState_assign
#define __Pyx_PyErr_Occurred()  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
#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

/* WriteUnraisableException.proto */
static void __Pyx_WriteUnraisable(const char *name, int clineno,
                                  int lineno, const char *filename,
                                  int full_traceback, int nogil);

/* PyIntCompare.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_NeObjC(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);
        PyList_SET_ITEM(list, len, x);
        __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);
        PyList_SET_ITEM(list, len, x);
        __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);

/* 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 PyObject* __Pyx_PyInt_EqObjC(PyObject *op1, PyObject *op2, long intval, long inplace);

/* None.proto */
static CYTHON_INLINE void __Pyx_RaiseClosureNameError(const char *varname);

/* FetchCommonType.proto */
static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type);

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

/* GetTopmostException.proto */
#if CYTHON_USE_EXC_INFO_STACK
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

/* 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);

/* CoroutineBase.proto */
typedef PyObject *(*__pyx_coroutine_body_t)(PyObject *, 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 {
    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
static PyTypeObject *__pyx_GeneratorType = 0;
#define __Pyx_Generator_CheckExact(obj) (Py_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(void);

/* 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(Py_SIZE(x) >= 0) ? (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

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

/* RaiseNoneIterError.proto */
static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void);

/* 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

/* CythonFunctionShared.proto */
#define __Pyx_CyFunction_USED 1
#define __Pyx_CYFUNCTION_STATICMETHOD  0x01
#define __Pyx_CYFUNCTION_CLASSMETHOD   0x02
#define __Pyx_CYFUNCTION_CCLASS        0x04
#define __Pyx_CyFunction_GetClosure(f)\
    (((__pyx_CyFunctionObject *) (f))->func_closure)
#define __Pyx_CyFunction_GetClassObj(f)\
    (((__pyx_CyFunctionObject *) (f))->func_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 {
    PyCFunctionObject func;
#if PY_VERSION_HEX < 0x030500A0
    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;
    PyObject *func_classobj;
    void *defaults;
    int defaults_pyobjects;
    size_t defaults_size;  // used by FusedFunction for copying defaults
    int flags;
    PyObject *defaults_tuple;
    PyObject *defaults_kwdict;
    PyObject *(*defaults_getter)(PyObject *);
    PyObject *func_annotations;
} __pyx_CyFunctionObject;
static PyTypeObject *__pyx_CyFunctionType = 0;
#define __Pyx_CyFunction_Check(obj)  (__Pyx_TypeCheck(obj, __pyx_CyFunctionType))
static PyObject *__Pyx_CyFunction_Init(__pyx_CyFunctionObject* op, PyMethodDef *ml,
                                      int flags, PyObject* qualname,
                                      PyObject *self,
                                      PyObject *module, PyObject *globals,
                                      PyObject* code);
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(void);

/* 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
    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);

/* 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

/* 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

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

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

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

/* 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);

/* PyObjectCallNoArg.proto */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func);
#else
#define __Pyx_PyObject_CallNoArg(func) __Pyx_PyObject_Call(func, __pyx_empty_tuple, NULL)
#endif

/* 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 */
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);

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

/* 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))

/* 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
    #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

/* GCCDiagnostics.proto */
#if 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);

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

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

/* FastTypeChecks.proto */
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_TypeCheck(obj, type) __Pyx_IsSubtype(Py_TYPE(obj), (PyTypeObject *)type)
static CYTHON_INLINE int __Pyx_IsSubtype(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_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_PyException_Check(obj) __Pyx_TypeCheck(obj, PyExc_Exception)

/* CheckBinaryVersion.proto */
static int __Pyx_check_binary_version(void);

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


/* Module declarations from 'cython' */

/* Module declarations from 'fontTools.misc.bezierTools' */
static PyTypeObject *__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct__splitQuadratic = 0;
static PyTypeObject *__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr = 0;
static PyTypeObject *__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubic = 0;
static PyTypeObject *__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_3_genexpr = 0;
static PyTypeObject *__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_splitCubicAtTC = 0;
static PyTypeObject *__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__splitCubicAtTC = 0;
static PyTypeObject *__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_6__curve_line_intersections_t = 0;
static PyTypeObject *__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr = 0;
static PyTypeObject *__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_8__curve_curve_intersections_t = 0;
static PyTypeObject *__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_9__segmentrepr = 0;
static PyTypeObject *__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_10_genexpr = 0;
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*/
#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' */
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;
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_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__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_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_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_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_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_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_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_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_isHorizontal[] = "isHorizontal";
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_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_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_1449[] = "_segmentrepr (line 1449)";
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_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 1373)";
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 1401)";
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    ";
static PyObject *__pyx_n_s_1_t;
static PyObject *__pyx_n_s_1_t_2;
static PyObject *__pyx_n_s_2_t_1_t;
static PyObject *__pyx_kp_u_Approximates_the_arc_length_for;
static PyObject *__pyx_n_s_AttributeError;
static PyObject *__pyx_n_s_COMPILED;
static PyObject *__pyx_kp_u_Calculates_the_arc_length_for_a;
static PyObject *__pyx_kp_u_Calculates_the_bounding_rectangl;
static PyObject *__pyx_kp_u_Calculates_the_bounding_rectangl_2;
static PyObject *__pyx_kp_u_Couldn_t_work_out_which_intersec;
static PyObject *__pyx_n_s_DD;
static PyObject *__pyx_kp_u_Finds_intersections_between_a_cu;
static PyObject *__pyx_kp_u_Finds_intersections_between_a_cu_2;
static PyObject *__pyx_kp_u_Finds_intersections_between_two;
static PyObject *__pyx_kp_u_Finds_intersections_between_two_2;
static PyObject *__pyx_n_s_Identity;
static PyObject *__pyx_n_s_ImportError;
static PyObject *__pyx_n_s_Intersection;
static PyObject *__pyx_n_u_Intersection;
static PyObject *__pyx_n_s_Len;
static PyObject *__pyx_kp_s_Lib_fontTools_misc_bezierTools_p;
static PyObject *__pyx_n_s_Q;
static PyObject *__pyx_n_s_Q3;
static PyObject *__pyx_n_s_R;
static PyObject *__pyx_n_s_R2;
static PyObject *__pyx_n_s_R2_Q3;
static PyObject *__pyx_kp_u_Solve_a_cubic_equation_Solves_a;
static PyObject *__pyx_kp_u_Split_a_cubic_Bezier_curve_at_a;
static PyObject *__pyx_kp_u_Split_a_cubic_Bezier_curve_at_on;
static PyObject *__pyx_kp_u_Split_a_line_at_a_given_coordina;
static PyObject *__pyx_kp_u_Split_a_quadratic_Bezier_curve_a;
static PyObject *__pyx_kp_u_Split_a_quadratic_Bezier_curve_a_2;
static PyObject *__pyx_n_s_TypeError;
static PyObject *__pyx_kp_u_Unknown_curve_degree;
static PyObject *__pyx_n_s_ValueError;
static PyObject *__pyx_kp_u__9;
static PyObject *__pyx_n_s__91;
static PyObject *__pyx_n_s_a;
static PyObject *__pyx_n_s_a1;
static PyObject *__pyx_n_s_a1_3;
static PyObject *__pyx_n_s_a1x;
static PyObject *__pyx_n_s_a1y;
static PyObject *__pyx_n_s_a2;
static PyObject *__pyx_n_s_a3;
static PyObject *__pyx_n_s_acos;
static PyObject *__pyx_n_s_aligned_curve;
static PyObject *__pyx_n_s_alignment_transformation;
static PyObject *__pyx_n_s_all;
static PyObject *__pyx_n_s_angle;
static PyObject *__pyx_n_s_append;
static PyObject *__pyx_n_s_approximateCubicArcLength;
static PyObject *__pyx_n_u_approximateCubicArcLength;
static PyObject *__pyx_n_s_approximateCubicArcLengthC;
static PyObject *__pyx_n_u_approximateCubicArcLengthC;
static PyObject *__pyx_kp_u_approximateCubicArcLength_line_3;
static PyObject *__pyx_n_s_approximateQuadraticArcLength;
static PyObject *__pyx_n_u_approximateQuadraticArcLength;
static PyObject *__pyx_n_s_approximateQuadraticArcLengthC;
static PyObject *__pyx_n_u_approximateQuadraticArcLengthC;
static PyObject *__pyx_n_s_arch;
static PyObject *__pyx_n_s_args;
static PyObject *__pyx_n_s_asinh;
static PyObject *__pyx_n_s_atan2;
static PyObject *__pyx_n_s_ax;
static PyObject *__pyx_n_s_ax2;
static PyObject *__pyx_n_s_ax3;
static PyObject *__pyx_n_s_ay;
static PyObject *__pyx_n_s_ay2;
static PyObject *__pyx_n_s_ay3;
static PyObject *__pyx_n_s_b;
static PyObject *__pyx_n_s_b1;
static PyObject *__pyx_n_s_b1x;
static PyObject *__pyx_n_s_b1y;
static PyObject *__pyx_n_s_both_points_are_on_same_side_of;
static PyObject *__pyx_n_s_bounds1;
static PyObject *__pyx_n_s_bounds2;
static PyObject *__pyx_n_s_box;
static PyObject *__pyx_n_s_bx;
static PyObject *__pyx_n_s_bx2;
static PyObject *__pyx_n_s_by;
static PyObject *__pyx_n_s_by2;
static PyObject *__pyx_n_s_c;
static PyObject *__pyx_n_s_c1;
static PyObject *__pyx_n_s_c11;
static PyObject *__pyx_n_s_c11_range;
static PyObject *__pyx_n_s_c12;
static PyObject *__pyx_n_s_c12_range;
static PyObject *__pyx_n_s_c1x;
static PyObject *__pyx_n_s_c1y;
static PyObject *__pyx_n_s_c21;
static PyObject *__pyx_n_s_c21_range;
static PyObject *__pyx_n_s_c22;
static PyObject *__pyx_n_s_c22_range;
static PyObject *__pyx_n_s_calcBounds;
static PyObject *__pyx_n_s_calcCubicArcLength;
static PyObject *__pyx_n_u_calcCubicArcLength;
static PyObject *__pyx_n_s_calcCubicArcLengthC;
static PyObject *__pyx_n_u_calcCubicArcLengthC;
static PyObject *__pyx_n_s_calcCubicArcLengthCRecurse;
static PyObject *__pyx_n_s_calcCubicBounds;
static PyObject *__pyx_n_u_calcCubicBounds;
static PyObject *__pyx_kp_u_calcCubicBounds_line_412;
static PyObject *__pyx_n_s_calcCubicParameters;
static PyObject *__pyx_n_s_calcCubicPoints;
static PyObject *__pyx_n_s_calcQuadraticArcLength;
static PyObject *__pyx_n_u_calcQuadraticArcLength;
static PyObject *__pyx_n_s_calcQuadraticArcLengthC;
static PyObject *__pyx_n_u_calcQuadraticArcLengthC;
static PyObject *__pyx_kp_u_calcQuadraticArcLength_line_151;
static PyObject *__pyx_n_s_calcQuadraticBounds;
static PyObject *__pyx_n_u_calcQuadraticBounds;
static PyObject *__pyx_kp_u_calcQuadraticBounds_line_298;
static PyObject *__pyx_n_s_calcQuadraticParameters;
static PyObject *__pyx_n_s_calcQuadraticPoints;
static PyObject *__pyx_n_s_cline_in_traceback;
static PyObject *__pyx_n_s_close;
static PyObject *__pyx_n_s_collections;
static PyObject *__pyx_n_s_cos;
static PyObject *__pyx_n_s_cubicPointAtT;
static PyObject *__pyx_n_u_cubicPointAtT;
static PyObject *__pyx_n_s_cubicPointAtTC;
static PyObject *__pyx_n_u_cubicPointAtTC;
static PyObject *__pyx_n_s_curve;
static PyObject *__pyx_n_s_curve1;
static PyObject *__pyx_n_s_curve2;
static PyObject *__pyx_n_s_curveCurveIntersections;
static PyObject *__pyx_n_u_curveCurveIntersections;
static PyObject *__pyx_kp_u_curveCurveIntersections_line_137;
static PyObject *__pyx_n_s_curveLineIntersections;
static PyObject *__pyx_n_u_curveLineIntersections;
static PyObject *__pyx_kp_u_curveLineIntersections_line_1248;
static PyObject *__pyx_n_s_curve_bounds;
static PyObject *__pyx_n_s_curve_curve_intersections_t;
static PyObject *__pyx_n_s_curve_curve_intersections_t_loc;
static PyObject *__pyx_n_s_curve_curve_intersections_t_loc_2;
static PyObject *__pyx_n_s_curve_line_intersections_t;
static PyObject *__pyx_n_s_curve_line_intersections_t_loca;
static PyObject *__pyx_n_s_cx;
static PyObject *__pyx_n_s_cy;
static PyObject *__pyx_n_s_cython;
static PyObject *__pyx_n_s_d;
static PyObject *__pyx_n_s_d0;
static PyObject *__pyx_n_s_d1;
static PyObject *__pyx_n_s_d1x;
static PyObject *__pyx_n_s_d1y;
static PyObject *__pyx_n_s_delta;
static PyObject *__pyx_n_s_delta_2;
static PyObject *__pyx_n_s_delta_3;
static PyObject *__pyx_n_s_deriv3;
static PyObject *__pyx_n_s_doctest;
static PyObject *__pyx_n_s_dx;
static PyObject *__pyx_n_s_dy;
static PyObject *__pyx_n_s_e;
static PyObject *__pyx_n_s_e1;
static PyObject *__pyx_n_s_e1x;
static PyObject *__pyx_n_s_e1y;
static PyObject *__pyx_n_s_e2;
static PyObject *__pyx_n_s_e2x;
static PyObject *__pyx_n_s_e2y;
static PyObject *__pyx_n_s_end;
static PyObject *__pyx_n_s_epsilon;
static PyObject *__pyx_n_s_epsilonDigits;
static PyObject *__pyx_n_s_ex;
static PyObject *__pyx_n_s_exit;
static PyObject *__pyx_n_s_ey;
static PyObject *__pyx_n_s_failed;
static PyObject *__pyx_n_s_fontTools_misc;
static PyObject *__pyx_n_s_fontTools_misc_arrayTools;
static PyObject *__pyx_n_s_fontTools_misc_bezierTools;
static PyObject *__pyx_n_s_fontTools_misc_transform;
static PyObject *__pyx_n_s_found;
static PyObject *__pyx_kp_u_g;
static PyObject *__pyx_n_s_genexpr;
static PyObject *__pyx_n_s_i;
static PyObject *__pyx_n_s_import;
static PyObject *__pyx_n_s_insert;
static PyObject *__pyx_n_s_intersection_ts;
static PyObject *__pyx_n_s_intersections;
static PyObject *__pyx_n_s_intersects;
static PyObject *__pyx_n_s_isHorizontal;
static PyObject *__pyx_n_s_isclose;
static PyObject *__pyx_n_s_it;
static PyObject *__pyx_n_s_key;
static PyObject *__pyx_n_s_line;
static PyObject *__pyx_n_s_lineLineIntersections;
static PyObject *__pyx_n_u_lineLineIntersections;
static PyObject *__pyx_kp_u_lineLineIntersections_line_1147;
static PyObject *__pyx_n_s_linePointAtT;
static PyObject *__pyx_n_u_linePointAtT;
static PyObject *__pyx_n_s_line_t;
static PyObject *__pyx_n_s_line_t_of_pt;
static PyObject *__pyx_n_s_main;
static PyObject *__pyx_n_u_main;
static PyObject *__pyx_n_s_math;
static PyObject *__pyx_n_s_mid;
static PyObject *__pyx_n_s_midPt;
static PyObject *__pyx_n_s_midpoint;
static PyObject *__pyx_n_s_mult;
static PyObject *__pyx_n_s_n;
static PyObject *__pyx_n_s_name;
static PyObject *__pyx_n_s_namedtuple;
static PyObject *__pyx_n_s_obj;
static PyObject *__pyx_n_s_off1;
static PyObject *__pyx_n_s_off2;
static PyObject *__pyx_n_s_one;
static PyObject *__pyx_n_s_origDist;
static PyObject *__pyx_n_s_origin;
static PyObject *__pyx_n_s_p0;
static PyObject *__pyx_n_s_p1;
static PyObject *__pyx_n_s_p2;
static PyObject *__pyx_n_s_p3;
static PyObject *__pyx_n_s_pi;
static PyObject *__pyx_n_s_pointAtT;
static PyObject *__pyx_n_s_pointFinder;
static PyObject *__pyx_n_s_points;
static PyObject *__pyx_n_s_precision;
static PyObject *__pyx_n_s_print;
static PyObject *__pyx_n_s_printSegments;
static PyObject *__pyx_n_s_pt;
static PyObject *__pyx_n_u_pt;
static PyObject *__pyx_n_s_pt1;
static PyObject *__pyx_n_s_pt1x;
static PyObject *__pyx_n_s_pt1y;
static PyObject *__pyx_n_s_pt2;
static PyObject *__pyx_n_s_pt2x;
static PyObject *__pyx_n_s_pt2y;
static PyObject *__pyx_n_s_pt3;
static PyObject *__pyx_n_s_pt4;
static PyObject *__pyx_n_s_px;
static PyObject *__pyx_n_s_py;
static PyObject *__pyx_n_s_quadraticPointAtT;
static PyObject *__pyx_n_u_quadraticPointAtT;
static PyObject *__pyx_n_s_r;
static PyObject *__pyx_n_s_rDD;
static PyObject *__pyx_n_s_rQ2;
static PyObject *__pyx_n_s_range;
static PyObject *__pyx_n_s_range1;
static PyObject *__pyx_n_s_range2;
static PyObject *__pyx_n_s_rectArea;
static PyObject *__pyx_n_s_roots;
static PyObject *__pyx_n_s_rotate;
static PyObject *__pyx_n_s_round;
static PyObject *__pyx_n_s_s;
static PyObject *__pyx_n_s_s1;
static PyObject *__pyx_n_s_s1x;
static PyObject *__pyx_n_s_s1y;
static PyObject *__pyx_n_s_s2;
static PyObject *__pyx_n_s_s2x;
static PyObject *__pyx_n_s_s2y;
static PyObject *__pyx_kp_u_s_2;
static PyObject *__pyx_n_s_scale;
static PyObject *__pyx_n_s_sectRect;
static PyObject *__pyx_n_s_seen;
static PyObject *__pyx_n_s_seg;
static PyObject *__pyx_n_s_seg1;
static PyObject *__pyx_n_s_seg2;
static PyObject *__pyx_n_s_segment;
static PyObject *__pyx_n_s_segmentPointAtT;
static PyObject *__pyx_n_u_segmentPointAtT;
static PyObject *__pyx_n_s_segmentSegmentIntersections;
static PyObject *__pyx_n_u_segmentSegmentIntersections;
static PyObject *__pyx_kp_u_segmentSegmentIntersections_line;
static PyObject *__pyx_n_s_segmentrepr;
static PyObject *__pyx_kp_u_segmentrepr_1_2_3_2_3_4_0_1_2;
static PyObject *__pyx_kp_u_segmentrepr_line_1449;
static PyObject *__pyx_n_s_segmentrepr_locals_genexpr;
static PyObject *__pyx_n_s_segments;
static PyObject *__pyx_n_s_send;
static PyObject *__pyx_n_s_slope12;
static PyObject *__pyx_n_s_slope34;
static PyObject *__pyx_n_s_solutions;
static PyObject *__pyx_n_s_solveCubic;
static PyObject *__pyx_n_u_solveCubic;
static PyObject *__pyx_kp_u_solveCubic_line_841;
static PyObject *__pyx_n_s_solveQuadratic;
static PyObject *__pyx_n_u_solveQuadratic;
static PyObject *__pyx_n_s_splitCubic;
static PyObject *__pyx_n_u_splitCubic;
static PyObject *__pyx_n_s_splitCubicAtT;
static PyObject *__pyx_n_s_splitCubicAtTC;
static PyObject *__pyx_n_u_splitCubicAtTC;
static PyObject *__pyx_n_s_splitCubicAtTC_2;
static PyObject *__pyx_n_s_splitCubicAtT_2;
static PyObject *__pyx_n_u_splitCubicAtT_2;
static PyObject *__pyx_kp_u_splitCubicAtT_line_613;
static PyObject *__pyx_n_s_splitCubicIntoTwoAtTC;
static PyObject *__pyx_n_u_splitCubicIntoTwoAtTC;
static PyObject *__pyx_kp_u_splitCubic_line_552;
static PyObject *__pyx_n_s_splitCubic_locals_genexpr;
static PyObject *__pyx_n_s_splitLine;
static PyObject *__pyx_n_u_splitLine;
static PyObject *__pyx_kp_u_splitLine_line_450;
static PyObject *__pyx_n_s_splitQuadratic;
static PyObject *__pyx_n_u_splitQuadratic;
static PyObject *__pyx_n_s_splitQuadraticAtT;
static PyObject *__pyx_n_s_splitQuadraticAtT_2;
static PyObject *__pyx_n_u_splitQuadraticAtT_2;
static PyObject *__pyx_kp_u_splitQuadraticAtT_line_589;
static PyObject *__pyx_kp_u_splitQuadratic_line_507;
static PyObject *__pyx_n_s_splitQuadratic_locals_genexpr;
static PyObject *__pyx_n_s_split_cubic_into_two;
static PyObject *__pyx_n_s_split_segment_at_t;
static PyObject *__pyx_n_s_sqrt;
static PyObject *__pyx_n_s_start;
static PyObject *__pyx_n_s_swapped;
static PyObject *__pyx_n_s_sx;
static PyObject *__pyx_n_s_sy;
static PyObject *__pyx_n_s_sys;
static PyObject *__pyx_n_s_t;
static PyObject *__pyx_n_s_t1;
static PyObject *__pyx_n_u_t1;
static PyObject *__pyx_n_s_t1_2;
static PyObject *__pyx_n_s_t1_3;
static PyObject *__pyx_n_s_t2;
static PyObject *__pyx_n_u_t2;
static PyObject *__pyx_n_s_test;
static PyObject *__pyx_n_s_testmod;
static PyObject *__pyx_n_s_theta;
static PyObject *__pyx_n_s_throw;
static PyObject *__pyx_n_s_tolerance;
static PyObject *__pyx_n_s_transformPoints;
static PyObject *__pyx_n_s_translate;
static PyObject *__pyx_n_s_ts;
static PyObject *__pyx_n_s_two;
static PyObject *__pyx_n_s_unique_key;
static PyObject *__pyx_n_s_unique_values;
static PyObject *__pyx_n_s_v0;
static PyObject *__pyx_n_s_v1;
static PyObject *__pyx_n_s_v2;
static PyObject *__pyx_n_s_v3;
static PyObject *__pyx_n_s_v4;
static PyObject *__pyx_n_s_where;
static PyObject *__pyx_n_s_x;
static PyObject *__pyx_n_s_x0;
static PyObject *__pyx_n_s_x1;
static PyObject *__pyx_n_s_x2;
static PyObject *__pyx_n_s_x3;
static PyObject *__pyx_n_s_x4;
static PyObject *__pyx_n_s_xDiff;
static PyObject *__pyx_n_s_xRoots;
static PyObject *__pyx_n_s_y;
static PyObject *__pyx_n_s_y1;
static PyObject *__pyx_n_s_y2;
static PyObject *__pyx_n_s_y3;
static PyObject *__pyx_n_s_y4;
static PyObject *__pyx_n_s_yDiff;
static PyObject *__pyx_n_s_yRoots;
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(PyObject *__pyx_self); /* 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(PyObject *__pyx_self); /* 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_94__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(PyObject *__pyx_self); /* 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_86curveCurveIntersections(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_curve1, PyObject *__pyx_v_curve2); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_88segmentSegmentIntersections(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_seg1, PyObject *__pyx_v_seg2); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_12_segmentrepr_genexpr(PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_90_segmentrepr(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_92printSegments(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_segments); /* proto */
static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct__splitQuadratic(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_splitCubic(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_3_genexpr(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_splitCubicAtTC(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__splitCubicAtTC(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_6__curve_line_intersections_t(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*/
static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_8__curve_curve_intersections_t(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_9__segmentrepr(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_10_genexpr(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_float_0_0;
static PyObject *__pyx_float_0_5;
static PyObject *__pyx_float_1_0;
static PyObject *__pyx_float_2_0;
static PyObject *__pyx_float_3_0;
static PyObject *__pyx_float_4_0;
static PyObject *__pyx_float_9_0;
static PyObject *__pyx_float_1eneg_3;
static PyObject *__pyx_float_27_0;
static PyObject *__pyx_float_54_0;
static PyObject *__pyx_float_0_005;
static PyObject *__pyx_float_0_125;
static PyObject *__pyx_float_1eneg_10;
static PyObject *__pyx_float_neg_2_0;
static PyObject *__pyx_int_0;
static PyObject *__pyx_int_1;
static PyObject *__pyx_int_2;
static PyObject *__pyx_int_3;
static PyObject *__pyx_int_6;
static PyObject *__pyx_int_neg_1;
static PyObject *__pyx_codeobj_;
static PyObject *__pyx_tuple__2;
static PyObject *__pyx_tuple__4;
static PyObject *__pyx_tuple__5;
static PyObject *__pyx_tuple__6;
static PyObject *__pyx_tuple__8;
static PyObject *__pyx_tuple__10;
static PyObject *__pyx_tuple__12;
static PyObject *__pyx_tuple__13;
static PyObject *__pyx_tuple__15;
static PyObject *__pyx_tuple__17;
static PyObject *__pyx_tuple__19;
static PyObject *__pyx_tuple__21;
static PyObject *__pyx_tuple__23;
static PyObject *__pyx_tuple__25;
static PyObject *__pyx_tuple__27;
static PyObject *__pyx_tuple__29;
static PyObject *__pyx_tuple__31;
static PyObject *__pyx_tuple__33;
static PyObject *__pyx_tuple__35;
static PyObject *__pyx_tuple__37;
static PyObject *__pyx_tuple__39;
static PyObject *__pyx_tuple__41;
static PyObject *__pyx_tuple__43;
static PyObject *__pyx_tuple__45;
static PyObject *__pyx_tuple__46;
static PyObject *__pyx_tuple__48;
static PyObject *__pyx_tuple__50;
static PyObject *__pyx_tuple__52;
static PyObject *__pyx_tuple__53;
static PyObject *__pyx_tuple__55;
static PyObject *__pyx_tuple__57;
static PyObject *__pyx_tuple__59;
static PyObject *__pyx_tuple__61;
static PyObject *__pyx_tuple__63;
static PyObject *__pyx_tuple__65;
static PyObject *__pyx_tuple__67;
static PyObject *__pyx_tuple__69;
static PyObject *__pyx_tuple__71;
static PyObject *__pyx_tuple__73;
static PyObject *__pyx_tuple__75;
static PyObject *__pyx_tuple__77;
static PyObject *__pyx_tuple__79;
static PyObject *__pyx_tuple__81;
static PyObject *__pyx_tuple__83;
static PyObject *__pyx_tuple__85;
static PyObject *__pyx_tuple__87;
static PyObject *__pyx_tuple__89;
static PyObject *__pyx_tuple__92;
static PyObject *__pyx_tuple__94;
static PyObject *__pyx_tuple__95;
static PyObject *__pyx_tuple__97;
static PyObject *__pyx_tuple__99;
static PyObject *__pyx_codeobj__3;
static PyObject *__pyx_codeobj__7;
static PyObject *__pyx_tuple__101;
static PyObject *__pyx_codeobj__11;
static PyObject *__pyx_codeobj__14;
static PyObject *__pyx_codeobj__16;
static PyObject *__pyx_codeobj__18;
static PyObject *__pyx_codeobj__20;
static PyObject *__pyx_codeobj__22;
static PyObject *__pyx_codeobj__24;
static PyObject *__pyx_codeobj__26;
static PyObject *__pyx_codeobj__28;
static PyObject *__pyx_codeobj__30;
static PyObject *__pyx_codeobj__32;
static PyObject *__pyx_codeobj__34;
static PyObject *__pyx_codeobj__36;
static PyObject *__pyx_codeobj__38;
static PyObject *__pyx_codeobj__40;
static PyObject *__pyx_codeobj__42;
static PyObject *__pyx_codeobj__44;
static PyObject *__pyx_codeobj__47;
static PyObject *__pyx_codeobj__49;
static PyObject *__pyx_codeobj__51;
static PyObject *__pyx_codeobj__54;
static PyObject *__pyx_codeobj__56;
static PyObject *__pyx_codeobj__58;
static PyObject *__pyx_codeobj__60;
static PyObject *__pyx_codeobj__62;
static PyObject *__pyx_codeobj__64;
static PyObject *__pyx_codeobj__66;
static PyObject *__pyx_codeobj__68;
static PyObject *__pyx_codeobj__70;
static PyObject *__pyx_codeobj__72;
static PyObject *__pyx_codeobj__74;
static PyObject *__pyx_codeobj__76;
static PyObject *__pyx_codeobj__78;
static PyObject *__pyx_codeobj__80;
static PyObject *__pyx_codeobj__82;
static PyObject *__pyx_codeobj__84;
static PyObject *__pyx_codeobj__86;
static PyObject *__pyx_codeobj__88;
static PyObject *__pyx_codeobj__90;
static PyObject *__pyx_codeobj__93;
static PyObject *__pyx_codeobj__96;
static PyObject *__pyx_codeobj__98;
static PyObject *__pyx_codeobj__100;
static PyObject *__pyx_codeobj__102;
/* Late includes */

/* "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, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __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*)(PyCFunctionWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_1calcCubicArcLength, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_calcCubicArcLength};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_1calcCubicArcLength(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  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;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("calcCubicArcLength (wrapper)", 0);
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_pt1,&__pyx_n_s_pt2,&__pyx_n_s_pt3,&__pyx_n_s_pt4,&__pyx_n_s_tolerance,0};
    PyObject* values[5] = {0,0,0,0,0};
    values[4] = ((PyObject *)((PyObject*)__pyx_float_0_005));
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        case  5: values[4] = PyTuple_GET_ITEM(__pyx_args, 4);
        CYTHON_FALLTHROUGH;
        case  4: values[3] = PyTuple_GET_ITEM(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt1)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt2)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("calcCubicArcLength", 0, 4, 5, 1); __PYX_ERR(0, 56, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt3)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("calcCubicArcLength", 0, 4, 5, 2); __PYX_ERR(0, 56, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  3:
        if (likely((values[3] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt4)) != 0)) kw_args--;
        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_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_tolerance);
          if (value) { values[4] = value; kw_args--; }
        }
      }
      if (unlikely(kw_args > 0)) {
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "calcCubicArcLength") < 0)) __PYX_ERR(0, 56, __pyx_L3_error)
      }
    } else {
      switch (PyTuple_GET_SIZE(__pyx_args)) {
        case  5: values[4] = PyTuple_GET_ITEM(__pyx_args, 4);
        CYTHON_FALLTHROUGH;
        case  4: values[3] = PyTuple_GET_ITEM(__pyx_args, 3);
        values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        values[0] = PyTuple_GET_ITEM(__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_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("calcCubicArcLength", 0, 4, 5, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 56, __pyx_L3_error)
  __pyx_L3_error:;
  __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 */
  __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;
  PyObject *__pyx_t_9 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("calcCubicArcLength", 0);

  /* "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 && 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;
    }
  }
  #if CYTHON_FAST_PYCALL
  if (PyFunction_Check(__pyx_t_2)) {
    PyObject *__pyx_temp[6] = {__pyx_t_3, __pyx_t_4, __pyx_t_5, __pyx_t_6, __pyx_t_7, __pyx_v_tolerance};
    __pyx_t_1 = __Pyx_PyFunction_FastCall(__pyx_t_2, __pyx_temp+1-__pyx_t_8, 5+__pyx_t_8); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 70, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_GOTREF(__pyx_t_1);
    __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;
  } else
  #endif
  #if CYTHON_FAST_PYCCALL
  if (__Pyx_PyFastCFunction_Check(__pyx_t_2)) {
    PyObject *__pyx_temp[6] = {__pyx_t_3, __pyx_t_4, __pyx_t_5, __pyx_t_6, __pyx_t_7, __pyx_v_tolerance};
    __pyx_t_1 = __Pyx_PyCFunction_FastCall(__pyx_t_2, __pyx_temp+1-__pyx_t_8, 5+__pyx_t_8); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 70, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_GOTREF(__pyx_t_1);
    __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;
  } else
  #endif
  {
    __pyx_t_9 = PyTuple_New(5+__pyx_t_8); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 70, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_9);
    if (__pyx_t_3) {
      __Pyx_GIVEREF(__pyx_t_3); PyTuple_SET_ITEM(__pyx_t_9, 0, __pyx_t_3); __pyx_t_3 = NULL;
    }
    __Pyx_GIVEREF(__pyx_t_4);
    PyTuple_SET_ITEM(__pyx_t_9, 0+__pyx_t_8, __pyx_t_4);
    __Pyx_GIVEREF(__pyx_t_5);
    PyTuple_SET_ITEM(__pyx_t_9, 1+__pyx_t_8, __pyx_t_5);
    __Pyx_GIVEREF(__pyx_t_6);
    PyTuple_SET_ITEM(__pyx_t_9, 2+__pyx_t_8, __pyx_t_6);
    __Pyx_GIVEREF(__pyx_t_7);
    PyTuple_SET_ITEM(__pyx_t_9, 3+__pyx_t_8, __pyx_t_7);
    __Pyx_INCREF(__pyx_v_tolerance);
    __Pyx_GIVEREF(__pyx_v_tolerance);
    PyTuple_SET_ITEM(__pyx_t_9, 4+__pyx_t_8, __pyx_v_tolerance);
    __pyx_t_4 = 0;
    __pyx_t_5 = 0;
    __pyx_t_6 = 0;
    __pyx_t_7 = 0;
    __pyx_t_1 = __Pyx_PyObject_Call(__pyx_t_2, __pyx_t_9, NULL); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 70, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 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":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_XDECREF(__pyx_t_9);
  __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, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __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*)(PyCFunctionWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_3_split_cubic_into_two, METH_VARARGS|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, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  PyObject *__pyx_v_p0 = 0;
  PyObject *__pyx_v_p1 = 0;
  PyObject *__pyx_v_p2 = 0;
  PyObject *__pyx_v_p3 = 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);
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_p0,&__pyx_n_s_p1,&__pyx_n_s_p2,&__pyx_n_s_p3,0};
    PyObject* values[4] = {0,0,0,0};
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        case  4: values[3] = PyTuple_GET_ITEM(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_p0)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_p1)) != 0)) kw_args--;
        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_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_p2)) != 0)) kw_args--;
        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_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_p3)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("_split_cubic_into_two", 1, 4, 4, 3); __PYX_ERR(0, 75, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "_split_cubic_into_two") < 0)) __PYX_ERR(0, 75, __pyx_L3_error)
      }
    } else if (PyTuple_GET_SIZE(__pyx_args) != 4) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
      values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
      values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
      values[3] = PyTuple_GET_ITEM(__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_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("_split_cubic_into_two", 1, 4, 4, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 75, __pyx_L3_error)
  __pyx_L3_error:;
  __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 */
  __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", 0);

  /* "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 = PyNumber_Multiply(__pyx_int_3, __pyx_t_1); 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);
  PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_v_p0);
  __Pyx_GIVEREF(__pyx_t_1);
  PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_t_1);
  __Pyx_GIVEREF(__pyx_t_2);
  PyTuple_SET_ITEM(__pyx_t_3, 2, __pyx_t_2);
  __Pyx_INCREF(__pyx_v_mid);
  __Pyx_GIVEREF(__pyx_v_mid);
  PyTuple_SET_ITEM(__pyx_t_3, 3, __pyx_v_mid);
  __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);
  PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_v_mid);
  __Pyx_GIVEREF(__pyx_t_2);
  PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_t_2);
  __Pyx_GIVEREF(__pyx_t_4);
  PyTuple_SET_ITEM(__pyx_t_1, 2, __pyx_t_4);
  __Pyx_INCREF(__pyx_v_p3);
  __Pyx_GIVEREF(__pyx_v_p3);
  PyTuple_SET_ITEM(__pyx_t_1, 3, __pyx_v_p3);
  __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);
  PyTuple_SET_ITEM(__pyx_t_4, 0, __pyx_t_3);
  __Pyx_GIVEREF(__pyx_t_1);
  PyTuple_SET_ITEM(__pyx_t_4, 1, __pyx_t_1);
  __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":92
 * )
 * @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)
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_5_calcCubicArcLengthCRecurse(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __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*)(PyCFunctionWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_5_calcCubicArcLengthCRecurse, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_4_calcCubicArcLengthCRecurse};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_5_calcCubicArcLengthCRecurse(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  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;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("_calcCubicArcLengthCRecurse (wrapper)", 0);
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_mult,&__pyx_n_s_p0,&__pyx_n_s_p1,&__pyx_n_s_p2,&__pyx_n_s_p3,0};
    PyObject* values[5] = {0,0,0,0,0};
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        case  5: values[4] = PyTuple_GET_ITEM(__pyx_args, 4);
        CYTHON_FALLTHROUGH;
        case  4: values[3] = PyTuple_GET_ITEM(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_mult)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_p0)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("_calcCubicArcLengthCRecurse", 1, 5, 5, 1); __PYX_ERR(0, 92, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_p1)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("_calcCubicArcLengthCRecurse", 1, 5, 5, 2); __PYX_ERR(0, 92, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  3:
        if (likely((values[3] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_p2)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("_calcCubicArcLengthCRecurse", 1, 5, 5, 3); __PYX_ERR(0, 92, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  4:
        if (likely((values[4] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_p3)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("_calcCubicArcLengthCRecurse", 1, 5, 5, 4); __PYX_ERR(0, 92, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "_calcCubicArcLengthCRecurse") < 0)) __PYX_ERR(0, 92, __pyx_L3_error)
      }
    } else if (PyTuple_GET_SIZE(__pyx_args) != 5) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
      values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
      values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
      values[3] = PyTuple_GET_ITEM(__pyx_args, 3);
      values[4] = PyTuple_GET_ITEM(__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_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("_calcCubicArcLengthCRecurse", 1, 5, 5, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 92, __pyx_L3_error)
  __pyx_L3_error:;
  __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 */
  __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 = NULL;
  PyObject *(*__pyx_t_11)(PyObject *);
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("_calcCubicArcLengthCRecurse", 0);

  /* "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) != 0);
  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 && 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;
      }
    }
    #if CYTHON_FAST_PYCALL
    if (PyFunction_Check(__pyx_t_3)) {
      PyObject *__pyx_temp[5] = {__pyx_t_8, __pyx_t_4, __pyx_t_5, __pyx_t_6, __pyx_t_7};
      __pyx_t_2 = __Pyx_PyFunction_FastCall(__pyx_t_3, __pyx_temp+1-__pyx_t_9, 4+__pyx_t_9); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 98, __pyx_L1_error)
      __Pyx_XDECREF(__pyx_t_8); __pyx_t_8 = 0;
      __Pyx_GOTREF(__pyx_t_2);
      __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;
    } else
    #endif
    #if CYTHON_FAST_PYCCALL
    if (__Pyx_PyFastCFunction_Check(__pyx_t_3)) {
      PyObject *__pyx_temp[5] = {__pyx_t_8, __pyx_t_4, __pyx_t_5, __pyx_t_6, __pyx_t_7};
      __pyx_t_2 = __Pyx_PyCFunction_FastCall(__pyx_t_3, __pyx_temp+1-__pyx_t_9, 4+__pyx_t_9); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 98, __pyx_L1_error)
      __Pyx_XDECREF(__pyx_t_8); __pyx_t_8 = 0;
      __Pyx_GOTREF(__pyx_t_2);
      __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;
    } else
    #endif
    {
      __pyx_t_10 = PyTuple_New(4+__pyx_t_9); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 98, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_10);
      if (__pyx_t_8) {
        __Pyx_GIVEREF(__pyx_t_8); PyTuple_SET_ITEM(__pyx_t_10, 0, __pyx_t_8); __pyx_t_8 = NULL;
      }
      __Pyx_GIVEREF(__pyx_t_4);
      PyTuple_SET_ITEM(__pyx_t_10, 0+__pyx_t_9, __pyx_t_4);
      __Pyx_GIVEREF(__pyx_t_5);
      PyTuple_SET_ITEM(__pyx_t_10, 1+__pyx_t_9, __pyx_t_5);
      __Pyx_GIVEREF(__pyx_t_6);
      PyTuple_SET_ITEM(__pyx_t_10, 2+__pyx_t_9, __pyx_t_6);
      __Pyx_GIVEREF(__pyx_t_7);
      PyTuple_SET_ITEM(__pyx_t_10, 3+__pyx_t_9, __pyx_t_7);
      __pyx_t_4 = 0;
      __pyx_t_5 = 0;
      __pyx_t_6 = 0;
      __pyx_t_7 = 0;
      __pyx_t_2 = __Pyx_PyObject_Call(__pyx_t_3, __pyx_t_10, NULL); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 98, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_2);
      __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 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 != 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_10 = PyTuple_GET_ITEM(sequence, 1); 
      } else {
        __pyx_t_3 = PyList_GET_ITEM(sequence, 0); 
        __pyx_t_10 = PyList_GET_ITEM(sequence, 1); 
      }
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_INCREF(__pyx_t_10);
      #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_10 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 98, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_10);
      #endif
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    } else {
      Py_ssize_t index = -1;
      __pyx_t_7 = PyObject_GetIter(__pyx_t_2); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 98, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_7);
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
      __pyx_t_11 = Py_TYPE(__pyx_t_7)->tp_iternext;
      index = 0; __pyx_t_3 = __pyx_t_11(__pyx_t_7); if (unlikely(!__pyx_t_3)) goto __pyx_L4_unpacking_failed;
      __Pyx_GOTREF(__pyx_t_3);
      index = 1; __pyx_t_10 = __pyx_t_11(__pyx_t_7); if (unlikely(!__pyx_t_10)) goto __pyx_L4_unpacking_failed;
      __Pyx_GOTREF(__pyx_t_10);
      if (__Pyx_IternextUnpackEndCheck(__pyx_t_11(__pyx_t_7), 2) < 0) __PYX_ERR(0, 98, __pyx_L1_error)
      __pyx_t_11 = NULL;
      __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
      goto __pyx_L5_unpacking_done;
      __pyx_L4_unpacking_failed:;
      __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
      __pyx_t_11 = 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_10;
    __pyx_t_10 = 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_10 = PyFloat_FromDouble(__pyx_v_mult); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 99, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_10);
    __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_10);
    PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_10);
    __pyx_t_10 = 0;
    __pyx_t_10 = __Pyx_PySequence_Tuple(__pyx_v_one); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 99, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_10);
    __pyx_t_7 = PyNumber_Add(__pyx_t_3, __pyx_t_10); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 99, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
    __pyx_t_10 = __Pyx_PyObject_Call(__pyx_t_2, __pyx_t_7, NULL); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 99, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_10);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    __Pyx_GetModuleGlobalName(__pyx_t_7, __pyx_n_s_calcCubicArcLengthCRecurse); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 99, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);

    /* "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);
    PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_2);
    __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_6 = PyNumber_Add(__pyx_t_3, __pyx_t_2); 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_2); __pyx_t_2 = 0;
    __pyx_t_2 = __Pyx_PyObject_Call(__pyx_t_7, __pyx_t_6, NULL); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 99, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __pyx_t_6 = PyNumber_Add(__pyx_t_10, __pyx_t_2); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 99, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 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":92
 * )
 * @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)
 */

  /* 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_XDECREF(__pyx_t_10);
  __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":115
 *     mult=cython.double,
 * )
 * def calcCubicArcLengthC(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_7calcCubicArcLengthC(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __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*)(PyCFunctionWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_7calcCubicArcLengthC, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_6calcCubicArcLengthC};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_7calcCubicArcLengthC(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  __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;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("calcCubicArcLengthC (wrapper)", 0);
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_pt1,&__pyx_n_s_pt2,&__pyx_n_s_pt3,&__pyx_n_s_pt4,&__pyx_n_s_tolerance,0};
    PyObject* values[5] = {0,0,0,0,0};
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        case  5: values[4] = PyTuple_GET_ITEM(__pyx_args, 4);
        CYTHON_FALLTHROUGH;
        case  4: values[3] = PyTuple_GET_ITEM(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt1)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt2)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("calcCubicArcLengthC", 0, 4, 5, 1); __PYX_ERR(0, 115, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt3)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("calcCubicArcLengthC", 0, 4, 5, 2); __PYX_ERR(0, 115, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  3:
        if (likely((values[3] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt4)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("calcCubicArcLengthC", 0, 4, 5, 3); __PYX_ERR(0, 115, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  4:
        if (kw_args > 0) {
          PyObject* value = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_tolerance);
          if (value) { values[4] = value; kw_args--; }
        }
      }
      if (unlikely(kw_args > 0)) {
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "calcCubicArcLengthC") < 0)) __PYX_ERR(0, 115, __pyx_L3_error)
      }
    } else {
      switch (PyTuple_GET_SIZE(__pyx_args)) {
        case  5: values[4] = PyTuple_GET_ITEM(__pyx_args, 4);
        CYTHON_FALLTHROUGH;
        case  4: values[3] = PyTuple_GET_ITEM(__pyx_args, 3);
        values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        values[0] = PyTuple_GET_ITEM(__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_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("calcCubicArcLengthC", 0, 4, 5, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 115, __pyx_L3_error)
  __pyx_L3_error:;
  __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 */
  __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;
  PyObject *__pyx_t_10 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("calcCubicArcLengthC", 0);

  /* "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 && 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;
    }
  }
  #if CYTHON_FAST_PYCALL
  if (PyFunction_Check(__pyx_t_2)) {
    PyObject *__pyx_temp[6] = {__pyx_t_8, __pyx_t_3, __pyx_t_4, __pyx_t_5, __pyx_t_6, __pyx_t_7};
    __pyx_t_1 = __Pyx_PyFunction_FastCall(__pyx_t_2, __pyx_temp+1-__pyx_t_9, 5+__pyx_t_9); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 126, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_8); __pyx_t_8 = 0;
    __Pyx_GOTREF(__pyx_t_1);
    __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;
  } else
  #endif
  #if CYTHON_FAST_PYCCALL
  if (__Pyx_PyFastCFunction_Check(__pyx_t_2)) {
    PyObject *__pyx_temp[6] = {__pyx_t_8, __pyx_t_3, __pyx_t_4, __pyx_t_5, __pyx_t_6, __pyx_t_7};
    __pyx_t_1 = __Pyx_PyCFunction_FastCall(__pyx_t_2, __pyx_temp+1-__pyx_t_9, 5+__pyx_t_9); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 126, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_8); __pyx_t_8 = 0;
    __Pyx_GOTREF(__pyx_t_1);
    __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;
  } else
  #endif
  {
    __pyx_t_10 = PyTuple_New(5+__pyx_t_9); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 126, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_10);
    if (__pyx_t_8) {
      __Pyx_GIVEREF(__pyx_t_8); PyTuple_SET_ITEM(__pyx_t_10, 0, __pyx_t_8); __pyx_t_8 = NULL;
    }
    __Pyx_GIVEREF(__pyx_t_3);
    PyTuple_SET_ITEM(__pyx_t_10, 0+__pyx_t_9, __pyx_t_3);
    __Pyx_GIVEREF(__pyx_t_4);
    PyTuple_SET_ITEM(__pyx_t_10, 1+__pyx_t_9, __pyx_t_4);
    __Pyx_GIVEREF(__pyx_t_5);
    PyTuple_SET_ITEM(__pyx_t_10, 2+__pyx_t_9, __pyx_t_5);
    __Pyx_GIVEREF(__pyx_t_6);
    PyTuple_SET_ITEM(__pyx_t_10, 3+__pyx_t_9, __pyx_t_6);
    __Pyx_GIVEREF(__pyx_t_7);
    PyTuple_SET_ITEM(__pyx_t_10, 4+__pyx_t_9, __pyx_t_7);
    __pyx_t_3 = 0;
    __pyx_t_4 = 0;
    __pyx_t_5 = 0;
    __pyx_t_6 = 0;
    __pyx_t_7 = 0;
    __pyx_t_1 = __Pyx_PyObject_Call(__pyx_t_2, __pyx_t_10, NULL); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 126, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 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":115
 *     mult=cython.double,
 * )
 * def calcCubicArcLengthC(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_XDECREF(__pyx_t_8);
  __Pyx_XDECREF(__pyx_t_10);
  __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":137
 * @cython.returns(cython.double)
 * @cython.locals(v1=cython.complex, v2=cython.complex)
 * def _dot(v1, v2):             # <<<<<<<<<<<<<<
 *     return (v1 * v2.conjugate()).real
 * 
 */

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;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("_dot", 0);

  /* "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":137
 * @cython.returns(cython.double)
 * @cython.locals(v1=cython.complex, v2=cython.complex)
 * def _dot(v1, v2):             # <<<<<<<<<<<<<<
 *     return (v1 * v2.conjugate()).real
 * 
 */

  /* function exit code */
  __pyx_L0:;
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":145
 * @cython.returns(cython.double)
 * @cython.locals(x=cython.double)
 * def _intSecAtan(x):             # <<<<<<<<<<<<<<
 *     # In : sympy.integrate(sp.sec(sp.atan(x)))
 *     # Out: x*sqrt(x**2 + 1)/2 + asinh(x)/2
 */

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;
  double __pyx_t_6;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("_intSecAtan", 0);

  /* "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;
  if (CYTHON_UNPACK_METHODS && 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_2 = (__pyx_t_5) ? __Pyx_PyObject_Call2Args(__pyx_t_4, __pyx_t_5, __pyx_t_3) : __Pyx_PyObject_CallOneArg(__pyx_t_4, __pyx_t_3);
  __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;
  if (CYTHON_UNPACK_METHODS && 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_4 = (__pyx_t_5) ? __Pyx_PyObject_Call2Args(__pyx_t_3, __pyx_t_5, __pyx_t_1) : __Pyx_PyObject_CallOneArg(__pyx_t_3, __pyx_t_1);
  __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_6 = __pyx_PyFloat_AsDouble(__pyx_t_4); if (unlikely((__pyx_t_6 == (double)-1) && PyErr_Occurred())) __PYX_ERR(0, 148, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_r = __pyx_t_6;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":145
 * @cython.returns(cython.double)
 * @cython.locals(x=cython.double)
 * def _intSecAtan(x):             # <<<<<<<<<<<<<<
 *     # In : sympy.integrate(sp.sec(sp.atan(x)))
 *     # Out: x*sqrt(x**2 + 1)/2 + asinh(x)/2
 */

  /* 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_WriteUnraisable("fontTools.misc.bezierTools._intSecAtan", __pyx_clineno, __pyx_lineno, __pyx_filename, 1, 0);
  __pyx_r = 0;
  __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, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __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*)(PyCFunctionWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_9calcQuadraticArcLength, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_8calcQuadraticArcLength};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_9calcQuadraticArcLength(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  PyObject *__pyx_v_pt1 = 0;
  PyObject *__pyx_v_pt2 = 0;
  PyObject *__pyx_v_pt3 = 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);
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_pt1,&__pyx_n_s_pt2,&__pyx_n_s_pt3,0};
    PyObject* values[3] = {0,0,0};
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt1)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt2)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("calcQuadraticArcLength", 1, 3, 3, 1); __PYX_ERR(0, 151, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt3)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("calcQuadraticArcLength", 1, 3, 3, 2); __PYX_ERR(0, 151, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "calcQuadraticArcLength") < 0)) __PYX_ERR(0, 151, __pyx_L3_error)
      }
    } else if (PyTuple_GET_SIZE(__pyx_args) != 3) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
      values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
      values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
    }
    __pyx_v_pt1 = values[0];
    __pyx_v_pt2 = values[1];
    __pyx_v_pt3 = values[2];
  }
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("calcQuadraticArcLength", 1, 3, 3, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 151, __pyx_L3_error)
  __pyx_L3_error:;
  __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 */
  __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;
  PyObject *__pyx_t_8 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("calcQuadraticArcLength", 0);

  /* "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 && 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;
    }
  }
  #if CYTHON_FAST_PYCALL
  if (PyFunction_Check(__pyx_t_2)) {
    PyObject *__pyx_temp[4] = {__pyx_t_3, __pyx_t_4, __pyx_t_5, __pyx_t_6};
    __pyx_t_1 = __Pyx_PyFunction_FastCall(__pyx_t_2, __pyx_temp+1-__pyx_t_7, 3+__pyx_t_7); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 183, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_GOTREF(__pyx_t_1);
    __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;
  } else
  #endif
  #if CYTHON_FAST_PYCCALL
  if (__Pyx_PyFastCFunction_Check(__pyx_t_2)) {
    PyObject *__pyx_temp[4] = {__pyx_t_3, __pyx_t_4, __pyx_t_5, __pyx_t_6};
    __pyx_t_1 = __Pyx_PyCFunction_FastCall(__pyx_t_2, __pyx_temp+1-__pyx_t_7, 3+__pyx_t_7); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 183, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_GOTREF(__pyx_t_1);
    __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;
  } else
  #endif
  {
    __pyx_t_8 = PyTuple_New(3+__pyx_t_7); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 183, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    if (__pyx_t_3) {
      __Pyx_GIVEREF(__pyx_t_3); PyTuple_SET_ITEM(__pyx_t_8, 0, __pyx_t_3); __pyx_t_3 = NULL;
    }
    __Pyx_GIVEREF(__pyx_t_4);
    PyTuple_SET_ITEM(__pyx_t_8, 0+__pyx_t_7, __pyx_t_4);
    __Pyx_GIVEREF(__pyx_t_5);
    PyTuple_SET_ITEM(__pyx_t_8, 1+__pyx_t_7, __pyx_t_5);
    __Pyx_GIVEREF(__pyx_t_6);
    PyTuple_SET_ITEM(__pyx_t_8, 2+__pyx_t_7, __pyx_t_6);
    __pyx_t_4 = 0;
    __pyx_t_5 = 0;
    __pyx_t_6 = 0;
    __pyx_t_1 = __Pyx_PyObject_Call(__pyx_t_2, __pyx_t_8, NULL); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 183, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 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":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_XDECREF(__pyx_t_8);
  __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":205
 *     Len=cython.double,
 * )
 * def calcQuadraticArcLengthC(pt1, pt2, pt3):             # <<<<<<<<<<<<<<
 *     """Calculates the arc length for a quadratic Bezier segment.
 * 
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_11calcQuadraticArcLengthC(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __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*)(PyCFunctionWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_11calcQuadraticArcLengthC, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_10calcQuadraticArcLengthC};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_11calcQuadraticArcLengthC(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  __pyx_t_double_complex __pyx_v_pt1;
  __pyx_t_double_complex __pyx_v_pt2;
  __pyx_t_double_complex __pyx_v_pt3;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("calcQuadraticArcLengthC (wrapper)", 0);
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_pt1,&__pyx_n_s_pt2,&__pyx_n_s_pt3,0};
    PyObject* values[3] = {0,0,0};
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt1)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt2)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("calcQuadraticArcLengthC", 1, 3, 3, 1); __PYX_ERR(0, 205, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt3)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("calcQuadraticArcLengthC", 1, 3, 3, 2); __PYX_ERR(0, 205, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "calcQuadraticArcLengthC") < 0)) __PYX_ERR(0, 205, __pyx_L3_error)
      }
    } else if (PyTuple_GET_SIZE(__pyx_args) != 3) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
      values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
      values[2] = PyTuple_GET_ITEM(__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_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("calcQuadraticArcLengthC", 1, 3, 3, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 205, __pyx_L3_error)
  __pyx_L3_error:;
  __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 */
  __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;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  double __pyx_t_5;
  double __pyx_t_6;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("calcQuadraticArcLengthC", 0);

  /* "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) != 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_v_origDist = __pyx_f_9fontTools_4misc_11bezierTools__dot(__pyx_v_n, __pyx_v_d0);

  /* "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_3, __pyx_n_s_epsilon); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 226, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_4 = PyObject_RichCompare(__pyx_t_2, __pyx_t_3, Py_LT); __Pyx_XGOTREF(__pyx_t_4); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 226, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_1 = __Pyx_PyObject_IsTrue(__pyx_t_4); if (unlikely(__pyx_t_1 < 0)) __PYX_ERR(0, 226, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 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_1 = ((__pyx_f_9fontTools_4misc_11bezierTools__dot(__pyx_v_d0, __pyx_v_d1) >= 0.0) != 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_4 = PyFloat_FromDouble(__Pyx_c_abs_double(__Pyx_c_diff_double(__pyx_v_pt3, __pyx_v_pt1))); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 228, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_4);
      __pyx_r = __pyx_t_4;
      __pyx_t_4 = 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_5 = __Pyx_c_abs_double(__pyx_v_d0);
    __pyx_t_6 = __Pyx_c_abs_double(__pyx_v_d1);
    __pyx_v_a = __pyx_t_5;
    __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_5 = (__pyx_v_a + __pyx_v_b);
    if (unlikely(__pyx_t_5 == 0)) {
      PyErr_SetString(PyExc_ZeroDivisionError, "float division");
      __PYX_ERR(0, 230, __pyx_L1_error)
    }
    __pyx_t_4 = PyFloat_FromDouble((__pyx_t_6 / __pyx_t_5)); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 230, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_r = __pyx_t_4;
    __pyx_t_4 = 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_5 = __pyx_f_9fontTools_4misc_11bezierTools__dot(__pyx_v_d, __pyx_v_d0);
  if (unlikely(__pyx_v_origDist == 0)) {
    PyErr_SetString(PyExc_ZeroDivisionError, "float division");
    __PYX_ERR(0, 231, __pyx_L1_error)
  }
  __pyx_v_x0 = (__pyx_t_5 / __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_5 = __pyx_f_9fontTools_4misc_11bezierTools__dot(__pyx_v_d, __pyx_v_d1);
  if (unlikely(__pyx_v_origDist == 0)) {
    PyErr_SetString(PyExc_ZeroDivisionError, "float division");
    __PYX_ERR(0, 232, __pyx_L1_error)
  }
  __pyx_v_x1 = (__pyx_t_5 / __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_5 = ((2.0 * (__pyx_f_9fontTools_4misc_11bezierTools__intSecAtan(__pyx_v_x1) - __pyx_f_9fontTools_4misc_11bezierTools__intSecAtan(__pyx_v_x0))) * __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_5 / __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_4 = PyFloat_FromDouble(__pyx_v_Len); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 234, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_r = __pyx_t_4;
  __pyx_t_4 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":205
 *     Len=cython.double,
 * )
 * def calcQuadraticArcLengthC(pt1, pt2, pt3):             # <<<<<<<<<<<<<<
 *     """Calculates the arc length for a quadratic Bezier segment.
 * 
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __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, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __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*)(PyCFunctionWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_13approximateQuadraticArcLength, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_12approximateQuadraticArcLength};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_13approximateQuadraticArcLength(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  PyObject *__pyx_v_pt1 = 0;
  PyObject *__pyx_v_pt2 = 0;
  PyObject *__pyx_v_pt3 = 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);
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_pt1,&__pyx_n_s_pt2,&__pyx_n_s_pt3,0};
    PyObject* values[3] = {0,0,0};
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt1)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt2)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("approximateQuadraticArcLength", 1, 3, 3, 1); __PYX_ERR(0, 237, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt3)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("approximateQuadraticArcLength", 1, 3, 3, 2); __PYX_ERR(0, 237, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "approximateQuadraticArcLength") < 0)) __PYX_ERR(0, 237, __pyx_L3_error)
      }
    } else if (PyTuple_GET_SIZE(__pyx_args) != 3) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
      values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
      values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
    }
    __pyx_v_pt1 = values[0];
    __pyx_v_pt2 = values[1];
    __pyx_v_pt3 = values[2];
  }
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("approximateQuadraticArcLength", 1, 3, 3, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 237, __pyx_L3_error)
  __pyx_L3_error:;
  __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 */
  __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;
  PyObject *__pyx_t_8 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("approximateQuadraticArcLength", 0);

  /* "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 && 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;
    }
  }
  #if CYTHON_FAST_PYCALL
  if (PyFunction_Check(__pyx_t_2)) {
    PyObject *__pyx_temp[4] = {__pyx_t_3, __pyx_t_4, __pyx_t_5, __pyx_t_6};
    __pyx_t_1 = __Pyx_PyFunction_FastCall(__pyx_t_2, __pyx_temp+1-__pyx_t_7, 3+__pyx_t_7); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 251, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_GOTREF(__pyx_t_1);
    __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;
  } else
  #endif
  #if CYTHON_FAST_PYCCALL
  if (__Pyx_PyFastCFunction_Check(__pyx_t_2)) {
    PyObject *__pyx_temp[4] = {__pyx_t_3, __pyx_t_4, __pyx_t_5, __pyx_t_6};
    __pyx_t_1 = __Pyx_PyCFunction_FastCall(__pyx_t_2, __pyx_temp+1-__pyx_t_7, 3+__pyx_t_7); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 251, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_GOTREF(__pyx_t_1);
    __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;
  } else
  #endif
  {
    __pyx_t_8 = PyTuple_New(3+__pyx_t_7); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 251, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    if (__pyx_t_3) {
      __Pyx_GIVEREF(__pyx_t_3); PyTuple_SET_ITEM(__pyx_t_8, 0, __pyx_t_3); __pyx_t_3 = NULL;
    }
    __Pyx_GIVEREF(__pyx_t_4);
    PyTuple_SET_ITEM(__pyx_t_8, 0+__pyx_t_7, __pyx_t_4);
    __Pyx_GIVEREF(__pyx_t_5);
    PyTuple_SET_ITEM(__pyx_t_8, 1+__pyx_t_7, __pyx_t_5);
    __Pyx_GIVEREF(__pyx_t_6);
    PyTuple_SET_ITEM(__pyx_t_8, 2+__pyx_t_7, __pyx_t_6);
    __pyx_t_4 = 0;
    __pyx_t_5 = 0;
    __pyx_t_6 = 0;
    __pyx_t_1 = __Pyx_PyObject_Call(__pyx_t_2, __pyx_t_8, NULL); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 251, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 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":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_XDECREF(__pyx_t_8);
  __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":265
 *     v2=cython.double,
 * )
 * def approximateQuadraticArcLengthC(pt1, pt2, pt3):             # <<<<<<<<<<<<<<
 *     """Calculates the arc length for a quadratic Bezier segment.
 * 
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_15approximateQuadraticArcLengthC(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __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*)(PyCFunctionWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_15approximateQuadraticArcLengthC, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_14approximateQuadraticArcLengthC};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_15approximateQuadraticArcLengthC(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  __pyx_t_double_complex __pyx_v_pt1;
  __pyx_t_double_complex __pyx_v_pt2;
  __pyx_t_double_complex __pyx_v_pt3;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("approximateQuadraticArcLengthC (wrapper)", 0);
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_pt1,&__pyx_n_s_pt2,&__pyx_n_s_pt3,0};
    PyObject* values[3] = {0,0,0};
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt1)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt2)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("approximateQuadraticArcLengthC", 1, 3, 3, 1); __PYX_ERR(0, 265, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt3)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("approximateQuadraticArcLengthC", 1, 3, 3, 2); __PYX_ERR(0, 265, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "approximateQuadraticArcLengthC") < 0)) __PYX_ERR(0, 265, __pyx_L3_error)
      }
    } else if (PyTuple_GET_SIZE(__pyx_args) != 3) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
      values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
      values[2] = PyTuple_GET_ITEM(__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_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("approximateQuadraticArcLengthC", 1, 3, 3, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 265, __pyx_L3_error)
  __pyx_L3_error:;
  __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 */
  __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", 0);

  /* "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":265
 *     v2=cython.double,
 * )
 * def approximateQuadraticArcLengthC(pt1, pt2, pt3):             # <<<<<<<<<<<<<<
 *     """Calculates the arc length for a quadratic Bezier segment.
 * 
 */

  /* 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, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __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*)(PyCFunctionWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_17calcQuadraticBounds, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_16calcQuadraticBounds};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_17calcQuadraticBounds(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  PyObject *__pyx_v_pt1 = 0;
  PyObject *__pyx_v_pt2 = 0;
  PyObject *__pyx_v_pt3 = 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);
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_pt1,&__pyx_n_s_pt2,&__pyx_n_s_pt3,0};
    PyObject* values[3] = {0,0,0};
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt1)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt2)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("calcQuadraticBounds", 1, 3, 3, 1); __PYX_ERR(0, 298, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt3)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("calcQuadraticBounds", 1, 3, 3, 2); __PYX_ERR(0, 298, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "calcQuadraticBounds") < 0)) __PYX_ERR(0, 298, __pyx_L3_error)
      }
    } else if (PyTuple_GET_SIZE(__pyx_args) != 3) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
      values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
      values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
    }
    __pyx_v_pt1 = values[0];
    __pyx_v_pt2 = values[1];
    __pyx_v_pt3 = values[2];
  }
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("calcQuadraticBounds", 1, 3, 3, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 298, __pyx_L3_error)
  __pyx_L3_error:;
  __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 */
  __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", 0);

  /* "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 && 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;
    }
  }
  #if CYTHON_FAST_PYCALL
  if (PyFunction_Check(__pyx_t_2)) {
    PyObject *__pyx_temp[4] = {__pyx_t_3, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3};
    __pyx_t_1 = __Pyx_PyFunction_FastCall(__pyx_t_2, __pyx_temp+1-__pyx_t_4, 3+__pyx_t_4); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 316, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_GOTREF(__pyx_t_1);
  } else
  #endif
  #if CYTHON_FAST_PYCCALL
  if (__Pyx_PyFastCFunction_Check(__pyx_t_2)) {
    PyObject *__pyx_temp[4] = {__pyx_t_3, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3};
    __pyx_t_1 = __Pyx_PyCFunction_FastCall(__pyx_t_2, __pyx_temp+1-__pyx_t_4, 3+__pyx_t_4); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 316, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_GOTREF(__pyx_t_1);
  } else
  #endif
  {
    __pyx_t_5 = PyTuple_New(3+__pyx_t_4); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 316, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    if (__pyx_t_3) {
      __Pyx_GIVEREF(__pyx_t_3); PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_t_3); __pyx_t_3 = NULL;
    }
    __Pyx_INCREF(__pyx_v_pt1);
    __Pyx_GIVEREF(__pyx_v_pt1);
    PyTuple_SET_ITEM(__pyx_t_5, 0+__pyx_t_4, __pyx_v_pt1);
    __Pyx_INCREF(__pyx_v_pt2);
    __Pyx_GIVEREF(__pyx_v_pt2);
    PyTuple_SET_ITEM(__pyx_t_5, 1+__pyx_t_4, __pyx_v_pt2);
    __Pyx_INCREF(__pyx_v_pt3);
    __Pyx_GIVEREF(__pyx_v_pt3);
    PyTuple_SET_ITEM(__pyx_t_5, 2+__pyx_t_4, __pyx_v_pt3);
    __pyx_t_1 = __Pyx_PyObject_Call(__pyx_t_2, __pyx_t_5, NULL); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 316, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  }
  __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_5 = PyTuple_GET_ITEM(sequence, 1); 
      __pyx_t_3 = PyTuple_GET_ITEM(sequence, 2); 
    } else {
      __pyx_t_2 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_5 = PyList_GET_ITEM(sequence, 1); 
      __pyx_t_3 = PyList_GET_ITEM(sequence, 2); 
    }
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx_t_5);
    __Pyx_INCREF(__pyx_t_3);
    #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_5 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 316, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __pyx_t_3 = PySequence_ITEM(sequence, 2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 316, __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_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 = Py_TYPE(__pyx_t_6)->tp_iternext;
    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_5 = __pyx_t_7(__pyx_t_6); if (unlikely(!__pyx_t_5)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_5);
    index = 2; __pyx_t_3 = __pyx_t_7(__pyx_t_6); if (unlikely(!__pyx_t_3)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_3);
    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 = Py_TYPE(__pyx_t_9)->tp_iternext;
    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_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_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_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 = Py_TYPE(__pyx_t_9)->tp_iternext;
    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_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_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_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 = Py_TYPE(__pyx_t_9)->tp_iternext;
    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_1 = __Pyx_PyInt_NeObjC(__pyx_v_ax2, __pyx_int_0, 0, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 320, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_10 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely(__pyx_t_10 < 0)) __PYX_ERR(0, 320, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  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_3 = __Pyx_PyNumber_Divide(__pyx_t_1, __pyx_v_ax2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 321, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_11 = __Pyx_PyList_Append(__pyx_v_roots, __pyx_t_3); if (unlikely(__pyx_t_11 == ((int)-1))) __PYX_ERR(0, 321, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 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_3 = __Pyx_PyInt_NeObjC(__pyx_v_ay2, __pyx_int_0, 0, 0); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 322, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_10 = __Pyx_PyObject_IsTrue(__pyx_t_3); if (unlikely(__pyx_t_10 < 0)) __PYX_ERR(0, 322, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  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_3 = PyNumber_Negative(__pyx_v_by); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 323, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_1 = __Pyx_PyNumber_Divide(__pyx_t_3, __pyx_v_ay2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 323, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 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_3 = __pyx_v_roots; __Pyx_INCREF(__pyx_t_3); __pyx_t_12 = 0;
    for (;;) {
      if (__pyx_t_12 >= PyList_GET_SIZE(__pyx_t_3)) break;
      #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
      __pyx_t_5 = PyList_GET_ITEM(__pyx_t_3, __pyx_t_12); __Pyx_INCREF(__pyx_t_5); __pyx_t_12++; if (unlikely(0 < 0)) __PYX_ERR(0, 326, __pyx_L15_error)
      #else
      __pyx_t_5 = PySequence_ITEM(__pyx_t_3, __pyx_t_12); __pyx_t_12++; if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 326, __pyx_L15_error)
      __Pyx_GOTREF(__pyx_t_5);
      #endif
      __Pyx_XDECREF_SET(__pyx_7genexpr__pyx_v_t, __pyx_t_5);
      __pyx_t_5 = 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_5 = PyObject_RichCompare(__pyx_int_0, __pyx_7genexpr__pyx_v_t, Py_LE); __Pyx_XGOTREF(__pyx_t_5); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 327, __pyx_L15_error)
      if (__Pyx_PyObject_IsTrue(__pyx_t_5)) {
        __Pyx_DECREF(__pyx_t_5);
        __pyx_t_5 = PyObject_RichCompare(__pyx_7genexpr__pyx_v_t, __pyx_int_1, Py_LT); __Pyx_XGOTREF(__pyx_t_5); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 327, __pyx_L15_error)
      }
      __pyx_t_10 = __Pyx_PyObject_IsTrue(__pyx_t_5); if (unlikely(__pyx_t_10 < 0)) __PYX_ERR(0, 327, __pyx_L15_error)
      __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 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_5 = PyNumber_Multiply(__pyx_v_ax, __pyx_7genexpr__pyx_v_t); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 325, __pyx_L15_error)
        __Pyx_GOTREF(__pyx_t_5);
        __pyx_t_2 = PyNumber_Multiply(__pyx_t_5, __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_5); __pyx_t_5 = 0;
        __pyx_t_5 = PyNumber_Multiply(__pyx_v_bx, __pyx_7genexpr__pyx_v_t); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 325, __pyx_L15_error)
        __Pyx_GOTREF(__pyx_t_5);
        __pyx_t_8 = PyNumber_Add(__pyx_t_2, __pyx_t_5); 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_5); __pyx_t_5 = 0;
        __pyx_t_5 = PyNumber_Add(__pyx_t_8, __pyx_v_cx); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 325, __pyx_L15_error)
        __Pyx_GOTREF(__pyx_t_5);
        __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_5);
        PyTuple_SET_ITEM(__pyx_t_6, 0, __pyx_t_5);
        __Pyx_GIVEREF(__pyx_t_8);
        PyTuple_SET_ITEM(__pyx_t_6, 1, __pyx_t_8);
        __pyx_t_5 = 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_3); __pyx_t_3 = 0;
    __Pyx_XDECREF(__pyx_7genexpr__pyx_v_t); __pyx_7genexpr__pyx_v_t = 0;
    goto __pyx_L19_exit_scope;
    __pyx_L15_error:;
    __Pyx_XDECREF(__pyx_7genexpr__pyx_v_t); __pyx_7genexpr__pyx_v_t = 0;
    goto __pyx_L1_error;
    __pyx_L19_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_3 = PyList_New(2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 328, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_INCREF(__pyx_v_pt1);
  __Pyx_GIVEREF(__pyx_v_pt1);
  PyList_SET_ITEM(__pyx_t_3, 0, __pyx_v_pt1);
  __Pyx_INCREF(__pyx_v_pt3);
  __Pyx_GIVEREF(__pyx_v_pt3);
  PyList_SET_ITEM(__pyx_t_3, 1, __pyx_v_pt3);
  __pyx_t_6 = PyNumber_Add(__pyx_t_1, __pyx_t_3); 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_3); __pyx_t_3 = 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_3, __pyx_n_s_calcBounds); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 329, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_1 = NULL;
  if (CYTHON_UNPACK_METHODS && 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_6 = (__pyx_t_1) ? __Pyx_PyObject_Call2Args(__pyx_t_3, __pyx_t_1, __pyx_v_points) : __Pyx_PyObject_CallOneArg(__pyx_t_3, __pyx_v_points);
  __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_3); __pyx_t_3 = 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, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __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*)(PyCFunctionWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_19approximateCubicArcLength, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_18approximateCubicArcLength};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_19approximateCubicArcLength(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  PyObject *__pyx_v_pt1 = 0;
  PyObject *__pyx_v_pt2 = 0;
  PyObject *__pyx_v_pt3 = 0;
  PyObject *__pyx_v_pt4 = 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);
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_pt1,&__pyx_n_s_pt2,&__pyx_n_s_pt3,&__pyx_n_s_pt4,0};
    PyObject* values[4] = {0,0,0,0};
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        case  4: values[3] = PyTuple_GET_ITEM(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt1)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt2)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("approximateCubicArcLength", 1, 4, 4, 1); __PYX_ERR(0, 332, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt3)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("approximateCubicArcLength", 1, 4, 4, 2); __PYX_ERR(0, 332, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  3:
        if (likely((values[3] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt4)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("approximateCubicArcLength", 1, 4, 4, 3); __PYX_ERR(0, 332, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "approximateCubicArcLength") < 0)) __PYX_ERR(0, 332, __pyx_L3_error)
      }
    } else if (PyTuple_GET_SIZE(__pyx_args) != 4) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
      values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
      values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
      values[3] = PyTuple_GET_ITEM(__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_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("approximateCubicArcLength", 1, 4, 4, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 332, __pyx_L3_error)
  __pyx_L3_error:;
  __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 */
  __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;
  PyObject *__pyx_t_9 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("approximateCubicArcLength", 0);

  /* "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 && 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;
    }
  }
  #if CYTHON_FAST_PYCALL
  if (PyFunction_Check(__pyx_t_2)) {
    PyObject *__pyx_temp[5] = {__pyx_t_3, __pyx_t_4, __pyx_t_5, __pyx_t_6, __pyx_t_7};
    __pyx_t_1 = __Pyx_PyFunction_FastCall(__pyx_t_2, __pyx_temp+1-__pyx_t_8, 4+__pyx_t_8); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 357, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_GOTREF(__pyx_t_1);
    __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;
  } else
  #endif
  #if CYTHON_FAST_PYCCALL
  if (__Pyx_PyFastCFunction_Check(__pyx_t_2)) {
    PyObject *__pyx_temp[5] = {__pyx_t_3, __pyx_t_4, __pyx_t_5, __pyx_t_6, __pyx_t_7};
    __pyx_t_1 = __Pyx_PyCFunction_FastCall(__pyx_t_2, __pyx_temp+1-__pyx_t_8, 4+__pyx_t_8); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 357, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_GOTREF(__pyx_t_1);
    __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;
  } else
  #endif
  {
    __pyx_t_9 = PyTuple_New(4+__pyx_t_8); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 357, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_9);
    if (__pyx_t_3) {
      __Pyx_GIVEREF(__pyx_t_3); PyTuple_SET_ITEM(__pyx_t_9, 0, __pyx_t_3); __pyx_t_3 = NULL;
    }
    __Pyx_GIVEREF(__pyx_t_4);
    PyTuple_SET_ITEM(__pyx_t_9, 0+__pyx_t_8, __pyx_t_4);
    __Pyx_GIVEREF(__pyx_t_5);
    PyTuple_SET_ITEM(__pyx_t_9, 1+__pyx_t_8, __pyx_t_5);
    __Pyx_GIVEREF(__pyx_t_6);
    PyTuple_SET_ITEM(__pyx_t_9, 2+__pyx_t_8, __pyx_t_6);
    __Pyx_GIVEREF(__pyx_t_7);
    PyTuple_SET_ITEM(__pyx_t_9, 3+__pyx_t_8, __pyx_t_7);
    __pyx_t_4 = 0;
    __pyx_t_5 = 0;
    __pyx_t_6 = 0;
    __pyx_t_7 = 0;
    __pyx_t_1 = __Pyx_PyObject_Call(__pyx_t_2, __pyx_t_9, NULL); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 357, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 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":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_XDECREF(__pyx_t_9);
  __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":376
 *     v4=cython.double,
 * )
 * def approximateCubicArcLengthC(pt1, pt2, pt3, pt4):             # <<<<<<<<<<<<<<
 *     """Approximates the arc length for a cubic Bezier segment.
 * 
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_21approximateCubicArcLengthC(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __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*)(PyCFunctionWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_21approximateCubicArcLengthC, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_20approximateCubicArcLengthC};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_21approximateCubicArcLengthC(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  __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;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("approximateCubicArcLengthC (wrapper)", 0);
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_pt1,&__pyx_n_s_pt2,&__pyx_n_s_pt3,&__pyx_n_s_pt4,0};
    PyObject* values[4] = {0,0,0,0};
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        case  4: values[3] = PyTuple_GET_ITEM(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt1)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt2)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("approximateCubicArcLengthC", 1, 4, 4, 1); __PYX_ERR(0, 376, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt3)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("approximateCubicArcLengthC", 1, 4, 4, 2); __PYX_ERR(0, 376, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  3:
        if (likely((values[3] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt4)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("approximateCubicArcLengthC", 1, 4, 4, 3); __PYX_ERR(0, 376, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "approximateCubicArcLengthC") < 0)) __PYX_ERR(0, 376, __pyx_L3_error)
      }
    } else if (PyTuple_GET_SIZE(__pyx_args) != 4) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
      values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
      values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
      values[3] = PyTuple_GET_ITEM(__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_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("approximateCubicArcLengthC", 1, 4, 4, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 376, __pyx_L3_error)
  __pyx_L3_error:;
  __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 */
  __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", 0);

  /* "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":376
 *     v4=cython.double,
 * )
 * def approximateCubicArcLengthC(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_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, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __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*)(PyCFunctionWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_23calcCubicBounds, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_22calcCubicBounds};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_23calcCubicBounds(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  PyObject *__pyx_v_pt1 = 0;
  PyObject *__pyx_v_pt2 = 0;
  PyObject *__pyx_v_pt3 = 0;
  PyObject *__pyx_v_pt4 = 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);
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_pt1,&__pyx_n_s_pt2,&__pyx_n_s_pt3,&__pyx_n_s_pt4,0};
    PyObject* values[4] = {0,0,0,0};
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        case  4: values[3] = PyTuple_GET_ITEM(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt1)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt2)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("calcCubicBounds", 1, 4, 4, 1); __PYX_ERR(0, 412, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt3)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("calcCubicBounds", 1, 4, 4, 2); __PYX_ERR(0, 412, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  3:
        if (likely((values[3] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt4)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("calcCubicBounds", 1, 4, 4, 3); __PYX_ERR(0, 412, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "calcCubicBounds") < 0)) __PYX_ERR(0, 412, __pyx_L3_error)
      }
    } else if (PyTuple_GET_SIZE(__pyx_args) != 4) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
      values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
      values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
      values[3] = PyTuple_GET_ITEM(__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_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("calcCubicBounds", 1, 4, 4, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 412, __pyx_L3_error)
  __pyx_L3_error:;
  __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 */
  __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", 0);

  /* "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 && 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;
    }
  }
  #if CYTHON_FAST_PYCALL
  if (PyFunction_Check(__pyx_t_2)) {
    PyObject *__pyx_temp[5] = {__pyx_t_3, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3, __pyx_v_pt4};
    __pyx_t_1 = __Pyx_PyFunction_FastCall(__pyx_t_2, __pyx_temp+1-__pyx_t_4, 4+__pyx_t_4); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 430, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_GOTREF(__pyx_t_1);
  } else
  #endif
  #if CYTHON_FAST_PYCCALL
  if (__Pyx_PyFastCFunction_Check(__pyx_t_2)) {
    PyObject *__pyx_temp[5] = {__pyx_t_3, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3, __pyx_v_pt4};
    __pyx_t_1 = __Pyx_PyCFunction_FastCall(__pyx_t_2, __pyx_temp+1-__pyx_t_4, 4+__pyx_t_4); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 430, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_GOTREF(__pyx_t_1);
  } else
  #endif
  {
    __pyx_t_5 = PyTuple_New(4+__pyx_t_4); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 430, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    if (__pyx_t_3) {
      __Pyx_GIVEREF(__pyx_t_3); PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_t_3); __pyx_t_3 = NULL;
    }
    __Pyx_INCREF(__pyx_v_pt1);
    __Pyx_GIVEREF(__pyx_v_pt1);
    PyTuple_SET_ITEM(__pyx_t_5, 0+__pyx_t_4, __pyx_v_pt1);
    __Pyx_INCREF(__pyx_v_pt2);
    __Pyx_GIVEREF(__pyx_v_pt2);
    PyTuple_SET_ITEM(__pyx_t_5, 1+__pyx_t_4, __pyx_v_pt2);
    __Pyx_INCREF(__pyx_v_pt3);
    __Pyx_GIVEREF(__pyx_v_pt3);
    PyTuple_SET_ITEM(__pyx_t_5, 2+__pyx_t_4, __pyx_v_pt3);
    __Pyx_INCREF(__pyx_v_pt4);
    __Pyx_GIVEREF(__pyx_v_pt4);
    PyTuple_SET_ITEM(__pyx_t_5, 3+__pyx_t_4, __pyx_v_pt4);
    __pyx_t_1 = __Pyx_PyObject_Call(__pyx_t_2, __pyx_t_5, NULL); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 430, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  }
  __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_5 = PyTuple_GET_ITEM(sequence, 1); 
      __pyx_t_3 = PyTuple_GET_ITEM(sequence, 2); 
      __pyx_t_6 = PyTuple_GET_ITEM(sequence, 3); 
    } else {
      __pyx_t_2 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_5 = PyList_GET_ITEM(sequence, 1); 
      __pyx_t_3 = PyList_GET_ITEM(sequence, 2); 
      __pyx_t_6 = PyList_GET_ITEM(sequence, 3); 
    }
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx_t_5);
    __Pyx_INCREF(__pyx_t_3);
    __Pyx_INCREF(__pyx_t_6);
    #else
    {
      Py_ssize_t i;
      PyObject** temps[4] = {&__pyx_t_2,&__pyx_t_5,&__pyx_t_3,&__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_5,&__pyx_t_3,&__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 = Py_TYPE(__pyx_t_7)->tp_iternext;
    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 = Py_TYPE(__pyx_t_10)->tp_iternext;
    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_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_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_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 = Py_TYPE(__pyx_t_10)->tp_iternext;
    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_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_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_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 = Py_TYPE(__pyx_t_10)->tp_iternext;
    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 = Py_TYPE(__pyx_t_10)->tp_iternext;
    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_3, __pyx_n_s_solveQuadratic); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 436, __pyx_L15_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_5 = NULL;
    __pyx_t_4 = 0;
    if (CYTHON_UNPACK_METHODS && 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_4 = 1;
      }
    }
    #if CYTHON_FAST_PYCALL
    if (PyFunction_Check(__pyx_t_3)) {
      PyObject *__pyx_temp[4] = {__pyx_t_5, __pyx_v_ax3, __pyx_v_bx2, __pyx_v_cx};
      __pyx_t_6 = __Pyx_PyFunction_FastCall(__pyx_t_3, __pyx_temp+1-__pyx_t_4, 3+__pyx_t_4); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 436, __pyx_L15_error)
      __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
      __Pyx_GOTREF(__pyx_t_6);
    } else
    #endif
    #if CYTHON_FAST_PYCCALL
    if (__Pyx_PyFastCFunction_Check(__pyx_t_3)) {
      PyObject *__pyx_temp[4] = {__pyx_t_5, __pyx_v_ax3, __pyx_v_bx2, __pyx_v_cx};
      __pyx_t_6 = __Pyx_PyCFunction_FastCall(__pyx_t_3, __pyx_temp+1-__pyx_t_4, 3+__pyx_t_4); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 436, __pyx_L15_error)
      __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
      __Pyx_GOTREF(__pyx_t_6);
    } else
    #endif
    {
      __pyx_t_2 = PyTuple_New(3+__pyx_t_4); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 436, __pyx_L15_error)
      __Pyx_GOTREF(__pyx_t_2);
      if (__pyx_t_5) {
        __Pyx_GIVEREF(__pyx_t_5); PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_t_5); __pyx_t_5 = NULL;
      }
      __Pyx_INCREF(__pyx_v_ax3);
      __Pyx_GIVEREF(__pyx_v_ax3);
      PyTuple_SET_ITEM(__pyx_t_2, 0+__pyx_t_4, __pyx_v_ax3);
      __Pyx_INCREF(__pyx_v_bx2);
      __Pyx_GIVEREF(__pyx_v_bx2);
      PyTuple_SET_ITEM(__pyx_t_2, 1+__pyx_t_4, __pyx_v_bx2);
      __Pyx_INCREF(__pyx_v_cx);
      __Pyx_GIVEREF(__pyx_v_cx);
      PyTuple_SET_ITEM(__pyx_t_2, 2+__pyx_t_4, __pyx_v_cx);
      __pyx_t_6 = __Pyx_PyObject_Call(__pyx_t_3, __pyx_t_2, NULL); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 436, __pyx_L15_error)
      __Pyx_GOTREF(__pyx_t_6);
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    }
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (likely(PyList_CheckExact(__pyx_t_6)) || PyTuple_CheckExact(__pyx_t_6)) {
      __pyx_t_3 = __pyx_t_6; __Pyx_INCREF(__pyx_t_3); __pyx_t_11 = 0;
      __pyx_t_12 = NULL;
    } else {
      __pyx_t_11 = -1; __pyx_t_3 = PyObject_GetIter(__pyx_t_6); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 436, __pyx_L15_error)
      __Pyx_GOTREF(__pyx_t_3);
      __pyx_t_12 = Py_TYPE(__pyx_t_3)->tp_iternext; 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_3))) {
          if (__pyx_t_11 >= PyList_GET_SIZE(__pyx_t_3)) break;
          #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
          __pyx_t_6 = PyList_GET_ITEM(__pyx_t_3, __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 = PySequence_ITEM(__pyx_t_3, __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 {
          if (__pyx_t_11 >= PyTuple_GET_SIZE(__pyx_t_3)) break;
          #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
          __pyx_t_6 = PyTuple_GET_ITEM(__pyx_t_3, __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 = PySequence_ITEM(__pyx_t_3, __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_3);
        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_3); __pyx_t_3 = 0;
    __Pyx_XDECREF(__pyx_8genexpr1__pyx_v_t); __pyx_8genexpr1__pyx_v_t = 0;
    goto __pyx_L19_exit_scope;
    __pyx_L15_error:;
    __Pyx_XDECREF(__pyx_8genexpr1__pyx_v_t); __pyx_8genexpr1__pyx_v_t = 0;
    goto __pyx_L1_error;
    __pyx_L19_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_L22_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_L22_error)
    __Pyx_GOTREF(__pyx_t_6);
    __pyx_t_2 = NULL;
    __pyx_t_4 = 0;
    if (CYTHON_UNPACK_METHODS && unlikely(PyMethod_Check(__pyx_t_6))) {
      __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_6);
      if (likely(__pyx_t_2)) {
        PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_6);
        __Pyx_INCREF(__pyx_t_2);
        __Pyx_INCREF(function);
        __Pyx_DECREF_SET(__pyx_t_6, function);
        __pyx_t_4 = 1;
      }
    }
    #if CYTHON_FAST_PYCALL
    if (PyFunction_Check(__pyx_t_6)) {
      PyObject *__pyx_temp[4] = {__pyx_t_2, __pyx_v_ay3, __pyx_v_by2, __pyx_v_cy};
      __pyx_t_3 = __Pyx_PyFunction_FastCall(__pyx_t_6, __pyx_temp+1-__pyx_t_4, 3+__pyx_t_4); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 437, __pyx_L22_error)
      __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
      __Pyx_GOTREF(__pyx_t_3);
    } else
    #endif
    #if CYTHON_FAST_PYCCALL
    if (__Pyx_PyFastCFunction_Check(__pyx_t_6)) {
      PyObject *__pyx_temp[4] = {__pyx_t_2, __pyx_v_ay3, __pyx_v_by2, __pyx_v_cy};
      __pyx_t_3 = __Pyx_PyCFunction_FastCall(__pyx_t_6, __pyx_temp+1-__pyx_t_4, 3+__pyx_t_4); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 437, __pyx_L22_error)
      __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
      __Pyx_GOTREF(__pyx_t_3);
    } else
    #endif
    {
      __pyx_t_5 = PyTuple_New(3+__pyx_t_4); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 437, __pyx_L22_error)
      __Pyx_GOTREF(__pyx_t_5);
      if (__pyx_t_2) {
        __Pyx_GIVEREF(__pyx_t_2); PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_t_2); __pyx_t_2 = NULL;
      }
      __Pyx_INCREF(__pyx_v_ay3);
      __Pyx_GIVEREF(__pyx_v_ay3);
      PyTuple_SET_ITEM(__pyx_t_5, 0+__pyx_t_4, __pyx_v_ay3);
      __Pyx_INCREF(__pyx_v_by2);
      __Pyx_GIVEREF(__pyx_v_by2);
      PyTuple_SET_ITEM(__pyx_t_5, 1+__pyx_t_4, __pyx_v_by2);
      __Pyx_INCREF(__pyx_v_cy);
      __Pyx_GIVEREF(__pyx_v_cy);
      PyTuple_SET_ITEM(__pyx_t_5, 2+__pyx_t_4, __pyx_v_cy);
      __pyx_t_3 = __Pyx_PyObject_Call(__pyx_t_6, __pyx_t_5, NULL); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 437, __pyx_L22_error)
      __Pyx_GOTREF(__pyx_t_3);
      __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    }
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    if (likely(PyList_CheckExact(__pyx_t_3)) || PyTuple_CheckExact(__pyx_t_3)) {
      __pyx_t_6 = __pyx_t_3; __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_3); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 437, __pyx_L22_error)
      __Pyx_GOTREF(__pyx_t_6);
      __pyx_t_12 = Py_TYPE(__pyx_t_6)->tp_iternext; if (unlikely(!__pyx_t_12)) __PYX_ERR(0, 437, __pyx_L22_error)
    }
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    for (;;) {
      if (likely(!__pyx_t_12)) {
        if (likely(PyList_CheckExact(__pyx_t_6))) {
          if (__pyx_t_11 >= PyList_GET_SIZE(__pyx_t_6)) break;
          #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
          __pyx_t_3 = PyList_GET_ITEM(__pyx_t_6, __pyx_t_11); __Pyx_INCREF(__pyx_t_3); __pyx_t_11++; if (unlikely(0 < 0)) __PYX_ERR(0, 437, __pyx_L22_error)
          #else
          __pyx_t_3 = PySequence_ITEM(__pyx_t_6, __pyx_t_11); __pyx_t_11++; if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 437, __pyx_L22_error)
          __Pyx_GOTREF(__pyx_t_3);
          #endif
        } else {
          if (__pyx_t_11 >= PyTuple_GET_SIZE(__pyx_t_6)) break;
          #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
          __pyx_t_3 = PyTuple_GET_ITEM(__pyx_t_6, __pyx_t_11); __Pyx_INCREF(__pyx_t_3); __pyx_t_11++; if (unlikely(0 < 0)) __PYX_ERR(0, 437, __pyx_L22_error)
          #else
          __pyx_t_3 = PySequence_ITEM(__pyx_t_6, __pyx_t_11); __pyx_t_11++; if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 437, __pyx_L22_error)
          __Pyx_GOTREF(__pyx_t_3);
          #endif
        }
      } else {
        __pyx_t_3 = __pyx_t_12(__pyx_t_6);
        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, 437, __pyx_L22_error)
          }
          break;
        }
        __Pyx_GOTREF(__pyx_t_3);
      }
      __Pyx_XDECREF_SET(__pyx_8genexpr2__pyx_v_t, __pyx_t_3);
      __pyx_t_3 = 0;
      __pyx_t_3 = PyObject_RichCompare(__pyx_int_0, __pyx_8genexpr2__pyx_v_t, Py_LE); __Pyx_XGOTREF(__pyx_t_3); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 437, __pyx_L22_error)
      if (__Pyx_PyObject_IsTrue(__pyx_t_3)) {
        __Pyx_DECREF(__pyx_t_3);
        __pyx_t_3 = PyObject_RichCompare(__pyx_8genexpr2__pyx_v_t, __pyx_int_1, Py_LT); __Pyx_XGOTREF(__pyx_t_3); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 437, __pyx_L22_error)
      }
      __pyx_t_13 = __Pyx_PyObject_IsTrue(__pyx_t_3); if (unlikely(__pyx_t_13 < 0)) __PYX_ERR(0, 437, __pyx_L22_error)
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      if (__pyx_t_13) {
        if (unlikely(__Pyx_ListComp_Append(__pyx_t_1, (PyObject*)__pyx_8genexpr2__pyx_v_t))) __PYX_ERR(0, 437, __pyx_L22_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_L26_exit_scope;
    __pyx_L22_error:;
    __Pyx_XDECREF(__pyx_8genexpr2__pyx_v_t); __pyx_8genexpr2__pyx_v_t = 0;
    goto __pyx_L1_error;
    __pyx_L26_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_L29_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 (;;) {
      if (__pyx_t_11 >= PyList_GET_SIZE(__pyx_t_6)) break;
      #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
      __pyx_t_3 = PyList_GET_ITEM(__pyx_t_6, __pyx_t_11); __Pyx_INCREF(__pyx_t_3); __pyx_t_11++; if (unlikely(0 < 0)) __PYX_ERR(0, 445, __pyx_L29_error)
      #else
      __pyx_t_3 = PySequence_ITEM(__pyx_t_6, __pyx_t_11); __pyx_t_11++; if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 445, __pyx_L29_error)
      __Pyx_GOTREF(__pyx_t_3);
      #endif
      __Pyx_XDECREF_SET(__pyx_8genexpr3__pyx_v_t, __pyx_t_3);
      __pyx_t_3 = 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_3 = PyNumber_Multiply(__pyx_v_ax, __pyx_8genexpr3__pyx_v_t); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 442, __pyx_L29_error)
      __Pyx_GOTREF(__pyx_t_3);
      __pyx_t_5 = PyNumber_Multiply(__pyx_t_3, __pyx_8genexpr3__pyx_v_t); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 442, __pyx_L29_error)
      __Pyx_GOTREF(__pyx_t_5);
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __pyx_t_3 = PyNumber_Multiply(__pyx_t_5, __pyx_8genexpr3__pyx_v_t); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 442, __pyx_L29_error)
      __Pyx_GOTREF(__pyx_t_3);
      __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
      __pyx_t_5 = PyNumber_Multiply(__pyx_v_bx, __pyx_8genexpr3__pyx_v_t); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 442, __pyx_L29_error)
      __Pyx_GOTREF(__pyx_t_5);
      __pyx_t_2 = PyNumber_Multiply(__pyx_t_5, __pyx_8genexpr3__pyx_v_t); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 442, __pyx_L29_error)
      __Pyx_GOTREF(__pyx_t_2);
      __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
      __pyx_t_5 = PyNumber_Add(__pyx_t_3, __pyx_t_2); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 442, __pyx_L29_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_Multiply(__pyx_v_cx, __pyx_8genexpr3__pyx_v_t); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 442, __pyx_L29_error)
      __Pyx_GOTREF(__pyx_t_2);
      __pyx_t_3 = PyNumber_Add(__pyx_t_5, __pyx_t_2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 442, __pyx_L29_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_Add(__pyx_t_3, __pyx_v_dx); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 442, __pyx_L29_error)
      __Pyx_GOTREF(__pyx_t_2);
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 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_3 = PyNumber_Multiply(__pyx_v_ay, __pyx_8genexpr3__pyx_v_t); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 443, __pyx_L29_error)
      __Pyx_GOTREF(__pyx_t_3);
      __pyx_t_5 = PyNumber_Multiply(__pyx_t_3, __pyx_8genexpr3__pyx_v_t); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 443, __pyx_L29_error)
      __Pyx_GOTREF(__pyx_t_5);
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __pyx_t_3 = PyNumber_Multiply(__pyx_t_5, __pyx_8genexpr3__pyx_v_t); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 443, __pyx_L29_error)
      __Pyx_GOTREF(__pyx_t_3);
      __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
      __pyx_t_5 = PyNumber_Multiply(__pyx_v_by, __pyx_8genexpr3__pyx_v_t); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 443, __pyx_L29_error)
      __Pyx_GOTREF(__pyx_t_5);
      __pyx_t_7 = PyNumber_Multiply(__pyx_t_5, __pyx_8genexpr3__pyx_v_t); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 443, __pyx_L29_error)
      __Pyx_GOTREF(__pyx_t_7);
      __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
      __pyx_t_5 = PyNumber_Add(__pyx_t_3, __pyx_t_7); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 443, __pyx_L29_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_Multiply(__pyx_v_cy, __pyx_8genexpr3__pyx_v_t); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 443, __pyx_L29_error)
      __Pyx_GOTREF(__pyx_t_7);
      __pyx_t_3 = PyNumber_Add(__pyx_t_5, __pyx_t_7); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 443, __pyx_L29_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_Add(__pyx_t_3, __pyx_v_dy); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 443, __pyx_L29_error)
      __Pyx_GOTREF(__pyx_t_7);
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 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_3 = PyTuple_New(2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 442, __pyx_L29_error)
      __Pyx_GOTREF(__pyx_t_3);
      __Pyx_GIVEREF(__pyx_t_2);
      PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_2);
      __Pyx_GIVEREF(__pyx_t_7);
      PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_t_7);
      __pyx_t_2 = 0;
      __pyx_t_7 = 0;
      if (unlikely(__Pyx_ListComp_Append(__pyx_t_1, (PyObject*)__pyx_t_3))) __PYX_ERR(0, 440, __pyx_L29_error)
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 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_L32_exit_scope;
    __pyx_L29_error:;
    __Pyx_XDECREF(__pyx_8genexpr3__pyx_v_t); __pyx_8genexpr3__pyx_v_t = 0;
    goto __pyx_L1_error;
    __pyx_L32_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);
  PyList_SET_ITEM(__pyx_t_6, 0, __pyx_v_pt1);
  __Pyx_INCREF(__pyx_v_pt4);
  __Pyx_GIVEREF(__pyx_v_pt4);
  PyList_SET_ITEM(__pyx_t_6, 1, __pyx_v_pt4);
  __pyx_t_3 = PyNumber_Add(__pyx_t_1, __pyx_t_6); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 446, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
  __pyx_v_points = ((PyObject*)__pyx_t_3);
  __pyx_t_3 = 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;
  if (CYTHON_UNPACK_METHODS && 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_3 = (__pyx_t_1) ? __Pyx_PyObject_Call2Args(__pyx_t_6, __pyx_t_1, __pyx_v_points) : __Pyx_PyObject_CallOneArg(__pyx_t_6, __pyx_v_points);
  __Pyx_XDECREF(__pyx_t_1); __pyx_t_1 = 0;
  if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 447, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
  __pyx_r = __pyx_t_3;
  __pyx_t_3 = 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, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __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*)(PyCFunctionWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_25splitLine, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_24splitLine};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_25splitLine(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  PyObject *__pyx_v_pt1 = 0;
  PyObject *__pyx_v_pt2 = 0;
  PyObject *__pyx_v_where = 0;
  PyObject *__pyx_v_isHorizontal = 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);
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_pt1,&__pyx_n_s_pt2,&__pyx_n_s_where,&__pyx_n_s_isHorizontal,0};
    PyObject* values[4] = {0,0,0,0};
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        case  4: values[3] = PyTuple_GET_ITEM(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt1)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt2)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("splitLine", 1, 4, 4, 1); __PYX_ERR(0, 450, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_where)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("splitLine", 1, 4, 4, 2); __PYX_ERR(0, 450, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  3:
        if (likely((values[3] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_isHorizontal)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("splitLine", 1, 4, 4, 3); __PYX_ERR(0, 450, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "splitLine") < 0)) __PYX_ERR(0, 450, __pyx_L3_error)
      }
    } else if (PyTuple_GET_SIZE(__pyx_args) != 4) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
      values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
      values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
      values[3] = PyTuple_GET_ITEM(__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_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("splitLine", 1, 4, 4, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 450, __pyx_L3_error)
  __pyx_L3_error:;
  __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 */
  __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", 0);

  /* "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 = Py_TYPE(__pyx_t_3)->tp_iternext;
    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 = Py_TYPE(__pyx_t_3)->tp_iternext;
    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);
  PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_v_ax);
  __Pyx_INCREF(__pyx_v_ay);
  __Pyx_GIVEREF(__pyx_v_ay);
  PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_v_ay);
  __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_2 = __Pyx_PyInt_EqObjC(__pyx_v_a, __pyx_int_0, 0, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 497, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_5 = __Pyx_PyObject_IsTrue(__pyx_t_2); if (unlikely(__pyx_t_5 < 0)) __PYX_ERR(0, 497, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  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);
    PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_v_pt1);
    __Pyx_INCREF(__pyx_v_pt2);
    __Pyx_GIVEREF(__pyx_v_pt2);
    PyTuple_SET_ITEM(__pyx_t_2, 1, __pyx_v_pt2);
    __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);
    PyList_SET_ITEM(__pyx_t_1, 0, __pyx_t_2);
    __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);
  PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_v_bx);
  __Pyx_INCREF(__pyx_v_by);
  __Pyx_GIVEREF(__pyx_v_by);
  PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_v_by);
  __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);
    PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_t_1);
    __Pyx_GIVEREF(__pyx_t_3);
    PyTuple_SET_ITEM(__pyx_t_2, 1, __pyx_t_3);
    __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);
    PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_v_pt1);
    __Pyx_INCREF(__pyx_v_midPt);
    __Pyx_GIVEREF(__pyx_v_midPt);
    PyTuple_SET_ITEM(__pyx_t_2, 1, __pyx_v_midPt);
    __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);
    PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_v_midPt);
    __Pyx_INCREF(__pyx_v_pt2);
    __Pyx_GIVEREF(__pyx_v_pt2);
    PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_v_pt2);
    __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);
    PyList_SET_ITEM(__pyx_t_1, 0, __pyx_t_2);
    __Pyx_GIVEREF(__pyx_t_3);
    PyList_SET_ITEM(__pyx_t_1, 1, __pyx_t_3);
    __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);
    PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_v_pt1);
    __Pyx_INCREF(__pyx_v_pt2);
    __Pyx_GIVEREF(__pyx_v_pt2);
    PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_v_pt2);
    __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);
    PyList_SET_ITEM(__pyx_t_3, 0, __pyx_t_1);
    __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, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __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*)(PyCFunctionWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_27splitQuadratic, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_26splitQuadratic};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_27splitQuadratic(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  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;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("splitQuadratic (wrapper)", 0);
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_pt1,&__pyx_n_s_pt2,&__pyx_n_s_pt3,&__pyx_n_s_where,&__pyx_n_s_isHorizontal,0};
    PyObject* values[5] = {0,0,0,0,0};
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        case  5: values[4] = PyTuple_GET_ITEM(__pyx_args, 4);
        CYTHON_FALLTHROUGH;
        case  4: values[3] = PyTuple_GET_ITEM(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt1)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt2)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("splitQuadratic", 1, 5, 5, 1); __PYX_ERR(0, 507, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt3)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("splitQuadratic", 1, 5, 5, 2); __PYX_ERR(0, 507, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  3:
        if (likely((values[3] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_where)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("splitQuadratic", 1, 5, 5, 3); __PYX_ERR(0, 507, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  4:
        if (likely((values[4] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_isHorizontal)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("splitQuadratic", 1, 5, 5, 4); __PYX_ERR(0, 507, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "splitQuadratic") < 0)) __PYX_ERR(0, 507, __pyx_L3_error)
      }
    } else if (PyTuple_GET_SIZE(__pyx_args) != 5) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
      values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
      values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
      values[3] = PyTuple_GET_ITEM(__pyx_args, 3);
      values[4] = PyTuple_GET_ITEM(__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_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("splitQuadratic", 1, 5, 5, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 507, __pyx_L3_error)
  __pyx_L3_error:;
  __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 */
  __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(PyObject *__pyx_self) {
  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, 546, __pyx_L1_error)
  } else {
    __Pyx_GOTREF(__pyx_cur_scope);
  }
  __pyx_cur_scope->__pyx_outer_scope = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__splitQuadratic *) __pyx_self;
  __Pyx_INCREF(((PyObject *)__pyx_cur_scope->__pyx_outer_scope));
  __Pyx_GIVEREF(__pyx_cur_scope->__pyx_outer_scope);
  {
    __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_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, 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_outer_scope->__pyx_v_solutions)) { __Pyx_RaiseClosureNameError("solutions"); __PYX_ERR(0, 546, __pyx_L1_error) }
  if (likely(PyList_CheckExact(__pyx_cur_scope->__pyx_outer_scope->__pyx_v_solutions)) || PyTuple_CheckExact(__pyx_cur_scope->__pyx_outer_scope->__pyx_v_solutions)) {
    __pyx_t_1 = __pyx_cur_scope->__pyx_outer_scope->__pyx_v_solutions; __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_outer_scope->__pyx_v_solutions); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 546, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_3 = Py_TYPE(__pyx_t_1)->tp_iternext; 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))) {
        if (__pyx_t_2 >= PyList_GET_SIZE(__pyx_t_1)) 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 = 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 {
        if (__pyx_t_2 >= PyTuple_GET_SIZE(__pyx_t_1)) 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 = 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_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) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__splitQuadratic *__pyx_cur_scope;
  PyObject *__pyx_v_a = NULL;
  PyObject *__pyx_v_b = NULL;
  PyObject *__pyx_v_c = 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;
  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("splitQuadratic", 0);
  __pyx_cur_scope = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__splitQuadratic *)__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct__splitQuadratic(__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct__splitQuadratic, __pyx_empty_tuple, NULL);
  if (unlikely(!__pyx_cur_scope)) {
    __pyx_cur_scope = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__splitQuadratic *)Py_None);
    __Pyx_INCREF(Py_None);
    __PYX_ERR(0, 507, __pyx_L1_error)
  } else {
    __Pyx_GOTREF(__pyx_cur_scope);
  }

  /* "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 && 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;
    }
  }
  #if CYTHON_FAST_PYCALL
  if (PyFunction_Check(__pyx_t_2)) {
    PyObject *__pyx_temp[4] = {__pyx_t_3, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3};
    __pyx_t_1 = __Pyx_PyFunction_FastCall(__pyx_t_2, __pyx_temp+1-__pyx_t_4, 3+__pyx_t_4); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 542, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_GOTREF(__pyx_t_1);
  } else
  #endif
  #if CYTHON_FAST_PYCCALL
  if (__Pyx_PyFastCFunction_Check(__pyx_t_2)) {
    PyObject *__pyx_temp[4] = {__pyx_t_3, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3};
    __pyx_t_1 = __Pyx_PyCFunction_FastCall(__pyx_t_2, __pyx_temp+1-__pyx_t_4, 3+__pyx_t_4); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 542, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_GOTREF(__pyx_t_1);
  } else
  #endif
  {
    __pyx_t_5 = PyTuple_New(3+__pyx_t_4); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 542, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    if (__pyx_t_3) {
      __Pyx_GIVEREF(__pyx_t_3); PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_t_3); __pyx_t_3 = NULL;
    }
    __Pyx_INCREF(__pyx_v_pt1);
    __Pyx_GIVEREF(__pyx_v_pt1);
    PyTuple_SET_ITEM(__pyx_t_5, 0+__pyx_t_4, __pyx_v_pt1);
    __Pyx_INCREF(__pyx_v_pt2);
    __Pyx_GIVEREF(__pyx_v_pt2);
    PyTuple_SET_ITEM(__pyx_t_5, 1+__pyx_t_4, __pyx_v_pt2);
    __Pyx_INCREF(__pyx_v_pt3);
    __Pyx_GIVEREF(__pyx_v_pt3);
    PyTuple_SET_ITEM(__pyx_t_5, 2+__pyx_t_4, __pyx_v_pt3);
    __pyx_t_1 = __Pyx_PyObject_Call(__pyx_t_2, __pyx_t_5, NULL); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 542, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  }
  __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_5 = PyTuple_GET_ITEM(sequence, 1); 
      __pyx_t_3 = PyTuple_GET_ITEM(sequence, 2); 
    } else {
      __pyx_t_2 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_5 = PyList_GET_ITEM(sequence, 1); 
      __pyx_t_3 = PyList_GET_ITEM(sequence, 2); 
    }
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx_t_5);
    __Pyx_INCREF(__pyx_t_3);
    #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_5 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 542, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __pyx_t_3 = PySequence_ITEM(sequence, 2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 542, __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_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 = Py_TYPE(__pyx_t_6)->tp_iternext;
    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_5 = __pyx_t_7(__pyx_t_6); if (unlikely(!__pyx_t_5)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_5);
    index = 2; __pyx_t_3 = __pyx_t_7(__pyx_t_6); if (unlikely(!__pyx_t_3)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_3);
    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_5;
  __pyx_t_5 = 0;
  __pyx_v_c = __pyx_t_3;
  __pyx_t_3 = 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_3, __pyx_n_s_solveQuadratic); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 543, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);

  /* "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_5 = __Pyx_PyObject_GetItem(__pyx_v_a, __pyx_v_isHorizontal); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 544, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __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 && 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_4 = 1;
    }
  }
  #if CYTHON_FAST_PYCALL
  if (PyFunction_Check(__pyx_t_3)) {
    PyObject *__pyx_temp[4] = {__pyx_t_6, __pyx_t_5, __pyx_t_2, __pyx_t_8};
    __pyx_t_1 = __Pyx_PyFunction_FastCall(__pyx_t_3, __pyx_temp+1-__pyx_t_4, 3+__pyx_t_4); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 543, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_6); __pyx_t_6 = 0;
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
  } else
  #endif
  #if CYTHON_FAST_PYCCALL
  if (__Pyx_PyFastCFunction_Check(__pyx_t_3)) {
    PyObject *__pyx_temp[4] = {__pyx_t_6, __pyx_t_5, __pyx_t_2, __pyx_t_8};
    __pyx_t_1 = __Pyx_PyCFunction_FastCall(__pyx_t_3, __pyx_temp+1-__pyx_t_4, 3+__pyx_t_4); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 543, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_6); __pyx_t_6 = 0;
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
  } else
  #endif
  {
    __pyx_t_9 = PyTuple_New(3+__pyx_t_4); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 543, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_9);
    if (__pyx_t_6) {
      __Pyx_GIVEREF(__pyx_t_6); PyTuple_SET_ITEM(__pyx_t_9, 0, __pyx_t_6); __pyx_t_6 = NULL;
    }
    __Pyx_GIVEREF(__pyx_t_5);
    PyTuple_SET_ITEM(__pyx_t_9, 0+__pyx_t_4, __pyx_t_5);
    __Pyx_GIVEREF(__pyx_t_2);
    PyTuple_SET_ITEM(__pyx_t_9, 1+__pyx_t_4, __pyx_t_2);
    __Pyx_GIVEREF(__pyx_t_8);
    PyTuple_SET_ITEM(__pyx_t_9, 2+__pyx_t_4, __pyx_t_8);
    __pyx_t_5 = 0;
    __pyx_t_2 = 0;
    __pyx_t_8 = 0;
    __pyx_t_1 = __Pyx_PyObject_Call(__pyx_t_3, __pyx_t_9, NULL); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 543, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
  }
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_GIVEREF(__pyx_t_1);
  __pyx_cur_scope->__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_3 = __pyx_pf_9fontTools_4misc_11bezierTools_14splitQuadratic_genexpr(((PyObject*)__pyx_cur_scope)); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 546, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_9 = __Pyx_Generator_Next(__pyx_t_3); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 546, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_9);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 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, 546, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_cur_scope->__pyx_v_solutions);
  __Pyx_DECREF_SET(__pyx_cur_scope->__pyx_v_solutions, __pyx_t_1);
  __Pyx_GIVEREF(__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_11 = __Pyx_PyObject_IsTrue(__pyx_cur_scope->__pyx_v_solutions); if (unlikely(__pyx_t_11 < 0)) __PYX_ERR(0, 547, __pyx_L1_error)
  __pyx_t_12 = ((!__pyx_t_11) != 0);
  if (__pyx_t_12) {

    /* "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);
    PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_v_pt1);
    __Pyx_INCREF(__pyx_v_pt2);
    __Pyx_GIVEREF(__pyx_v_pt2);
    PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_v_pt2);
    __Pyx_INCREF(__pyx_v_pt3);
    __Pyx_GIVEREF(__pyx_v_pt3);
    PyTuple_SET_ITEM(__pyx_t_1, 2, __pyx_v_pt3);
    __pyx_t_9 = PyList_New(1); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 548, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_9);
    __Pyx_GIVEREF(__pyx_t_1);
    PyList_SET_ITEM(__pyx_t_9, 0, __pyx_t_1);
    __pyx_t_1 = 0;
    __pyx_r = __pyx_t_9;
    __pyx_t_9 = 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_9, __pyx_n_s_splitQuadraticAtT); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 549, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_9);
  __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);
  PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_v_a);
  __Pyx_INCREF(__pyx_v_b);
  __Pyx_GIVEREF(__pyx_v_b);
  PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_v_b);
  __Pyx_INCREF(__pyx_v_c);
  __Pyx_GIVEREF(__pyx_v_c);
  PyTuple_SET_ITEM(__pyx_t_1, 2, __pyx_v_c);
  __pyx_t_3 = __Pyx_PySequence_Tuple(__pyx_cur_scope->__pyx_v_solutions); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 549, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_8 = PyNumber_Add(__pyx_t_1, __pyx_t_3); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 549, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_8);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = __Pyx_PyObject_Call(__pyx_t_9, __pyx_t_8, NULL); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 549, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
  __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
  __pyx_r = __pyx_t_3;
  __pyx_t_3 = 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_XDECREF(__pyx_t_9);
  __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_gb_9fontTools_4misc_11bezierTools_14splitQuadratic_2generator2);
  __Pyx_DECREF(((PyObject *)__pyx_cur_scope));
  __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, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __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*)(PyCFunctionWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_29splitCubic, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_28splitCubic};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_29splitCubic(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  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;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("splitCubic (wrapper)", 0);
  {
    static 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};
    PyObject* values[6] = {0,0,0,0,0,0};
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        case  6: values[5] = PyTuple_GET_ITEM(__pyx_args, 5);
        CYTHON_FALLTHROUGH;
        case  5: values[4] = PyTuple_GET_ITEM(__pyx_args, 4);
        CYTHON_FALLTHROUGH;
        case  4: values[3] = PyTuple_GET_ITEM(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt1)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt2)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("splitCubic", 1, 6, 6, 1); __PYX_ERR(0, 552, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt3)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("splitCubic", 1, 6, 6, 2); __PYX_ERR(0, 552, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  3:
        if (likely((values[3] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt4)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("splitCubic", 1, 6, 6, 3); __PYX_ERR(0, 552, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  4:
        if (likely((values[4] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_where)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("splitCubic", 1, 6, 6, 4); __PYX_ERR(0, 552, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  5:
        if (likely((values[5] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_isHorizontal)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("splitCubic", 1, 6, 6, 5); __PYX_ERR(0, 552, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "splitCubic") < 0)) __PYX_ERR(0, 552, __pyx_L3_error)
      }
    } else if (PyTuple_GET_SIZE(__pyx_args) != 6) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
      values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
      values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
      values[3] = PyTuple_GET_ITEM(__pyx_args, 3);
      values[4] = PyTuple_GET_ITEM(__pyx_args, 4);
      values[5] = PyTuple_GET_ITEM(__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_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("splitCubic", 1, 6, 6, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 552, __pyx_L3_error)
  __pyx_L3_error:;
  __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 */
  __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(PyObject *__pyx_self) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3_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_3_genexpr *)__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_3_genexpr(__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_3_genexpr, __pyx_empty_tuple, NULL);
  if (unlikely(!__pyx_cur_scope)) {
    __pyx_cur_scope = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3_genexpr *)Py_None);
    __Pyx_INCREF(Py_None);
    __PYX_ERR(0, 583, __pyx_L1_error)
  } else {
    __Pyx_GOTREF(__pyx_cur_scope);
  }
  __pyx_cur_scope->__pyx_outer_scope = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubic *) __pyx_self;
  __Pyx_INCREF(((PyObject *)__pyx_cur_scope->__pyx_outer_scope));
  __Pyx_GIVEREF(__pyx_cur_scope->__pyx_outer_scope);
  {
    __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_3_genexpr *__pyx_cur_scope = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3_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_outer_scope->__pyx_v_solutions)) { __Pyx_RaiseClosureNameError("solutions"); __PYX_ERR(0, 583, __pyx_L1_error) }
  if (likely(PyList_CheckExact(__pyx_cur_scope->__pyx_outer_scope->__pyx_v_solutions)) || PyTuple_CheckExact(__pyx_cur_scope->__pyx_outer_scope->__pyx_v_solutions)) {
    __pyx_t_1 = __pyx_cur_scope->__pyx_outer_scope->__pyx_v_solutions; __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_outer_scope->__pyx_v_solutions); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 583, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_3 = Py_TYPE(__pyx_t_1)->tp_iternext; 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))) {
        if (__pyx_t_2 >= PyList_GET_SIZE(__pyx_t_1)) 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 = 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 {
        if (__pyx_t_2 >= PyTuple_GET_SIZE(__pyx_t_1)) 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 = 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_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) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubic *__pyx_cur_scope;
  PyObject *__pyx_v_a = NULL;
  PyObject *__pyx_v_b = NULL;
  PyObject *__pyx_v_c = NULL;
  PyObject *__pyx_v_d = 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;
  PyObject *__pyx_t_10 = NULL;
  int __pyx_t_11;
  int __pyx_t_12;
  int __pyx_t_13;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("splitCubic", 0);
  __pyx_cur_scope = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubic *)__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubic(__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubic, __pyx_empty_tuple, NULL);
  if (unlikely(!__pyx_cur_scope)) {
    __pyx_cur_scope = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubic *)Py_None);
    __Pyx_INCREF(Py_None);
    __PYX_ERR(0, 552, __pyx_L1_error)
  } else {
    __Pyx_GOTREF(__pyx_cur_scope);
  }

  /* "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 && 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;
    }
  }
  #if CYTHON_FAST_PYCALL
  if (PyFunction_Check(__pyx_t_2)) {
    PyObject *__pyx_temp[5] = {__pyx_t_3, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3, __pyx_v_pt4};
    __pyx_t_1 = __Pyx_PyFunction_FastCall(__pyx_t_2, __pyx_temp+1-__pyx_t_4, 4+__pyx_t_4); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 579, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_GOTREF(__pyx_t_1);
  } else
  #endif
  #if CYTHON_FAST_PYCCALL
  if (__Pyx_PyFastCFunction_Check(__pyx_t_2)) {
    PyObject *__pyx_temp[5] = {__pyx_t_3, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3, __pyx_v_pt4};
    __pyx_t_1 = __Pyx_PyCFunction_FastCall(__pyx_t_2, __pyx_temp+1-__pyx_t_4, 4+__pyx_t_4); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 579, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_GOTREF(__pyx_t_1);
  } else
  #endif
  {
    __pyx_t_5 = PyTuple_New(4+__pyx_t_4); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 579, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    if (__pyx_t_3) {
      __Pyx_GIVEREF(__pyx_t_3); PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_t_3); __pyx_t_3 = NULL;
    }
    __Pyx_INCREF(__pyx_v_pt1);
    __Pyx_GIVEREF(__pyx_v_pt1);
    PyTuple_SET_ITEM(__pyx_t_5, 0+__pyx_t_4, __pyx_v_pt1);
    __Pyx_INCREF(__pyx_v_pt2);
    __Pyx_GIVEREF(__pyx_v_pt2);
    PyTuple_SET_ITEM(__pyx_t_5, 1+__pyx_t_4, __pyx_v_pt2);
    __Pyx_INCREF(__pyx_v_pt3);
    __Pyx_GIVEREF(__pyx_v_pt3);
    PyTuple_SET_ITEM(__pyx_t_5, 2+__pyx_t_4, __pyx_v_pt3);
    __Pyx_INCREF(__pyx_v_pt4);
    __Pyx_GIVEREF(__pyx_v_pt4);
    PyTuple_SET_ITEM(__pyx_t_5, 3+__pyx_t_4, __pyx_v_pt4);
    __pyx_t_1 = __Pyx_PyObject_Call(__pyx_t_2, __pyx_t_5, NULL); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 579, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  }
  __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_5 = PyTuple_GET_ITEM(sequence, 1); 
      __pyx_t_3 = PyTuple_GET_ITEM(sequence, 2); 
      __pyx_t_6 = PyTuple_GET_ITEM(sequence, 3); 
    } else {
      __pyx_t_2 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_5 = PyList_GET_ITEM(sequence, 1); 
      __pyx_t_3 = PyList_GET_ITEM(sequence, 2); 
      __pyx_t_6 = PyList_GET_ITEM(sequence, 3); 
    }
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx_t_5);
    __Pyx_INCREF(__pyx_t_3);
    __Pyx_INCREF(__pyx_t_6);
    #else
    {
      Py_ssize_t i;
      PyObject** temps[4] = {&__pyx_t_2,&__pyx_t_5,&__pyx_t_3,&__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_5,&__pyx_t_3,&__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 = Py_TYPE(__pyx_t_7)->tp_iternext;
    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_5;
  __pyx_t_5 = 0;
  __pyx_v_c = __pyx_t_3;
  __pyx_t_3 = 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_3 = __Pyx_PyObject_GetItem(__pyx_v_a, __pyx_v_isHorizontal); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 581, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_5 = __Pyx_PyObject_GetItem(__pyx_v_b, __pyx_v_isHorizontal); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 581, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __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 && 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;
    }
  }
  #if CYTHON_FAST_PYCALL
  if (PyFunction_Check(__pyx_t_6)) {
    PyObject *__pyx_temp[5] = {__pyx_t_7, __pyx_t_3, __pyx_t_5, __pyx_t_2, __pyx_t_9};
    __pyx_t_1 = __Pyx_PyFunction_FastCall(__pyx_t_6, __pyx_temp+1-__pyx_t_4, 4+__pyx_t_4); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 580, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_7); __pyx_t_7 = 0;
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
  } else
  #endif
  #if CYTHON_FAST_PYCCALL
  if (__Pyx_PyFastCFunction_Check(__pyx_t_6)) {
    PyObject *__pyx_temp[5] = {__pyx_t_7, __pyx_t_3, __pyx_t_5, __pyx_t_2, __pyx_t_9};
    __pyx_t_1 = __Pyx_PyCFunction_FastCall(__pyx_t_6, __pyx_temp+1-__pyx_t_4, 4+__pyx_t_4); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 580, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_7); __pyx_t_7 = 0;
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
  } else
  #endif
  {
    __pyx_t_10 = PyTuple_New(4+__pyx_t_4); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 580, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_10);
    if (__pyx_t_7) {
      __Pyx_GIVEREF(__pyx_t_7); PyTuple_SET_ITEM(__pyx_t_10, 0, __pyx_t_7); __pyx_t_7 = NULL;
    }
    __Pyx_GIVEREF(__pyx_t_3);
    PyTuple_SET_ITEM(__pyx_t_10, 0+__pyx_t_4, __pyx_t_3);
    __Pyx_GIVEREF(__pyx_t_5);
    PyTuple_SET_ITEM(__pyx_t_10, 1+__pyx_t_4, __pyx_t_5);
    __Pyx_GIVEREF(__pyx_t_2);
    PyTuple_SET_ITEM(__pyx_t_10, 2+__pyx_t_4, __pyx_t_2);
    __Pyx_GIVEREF(__pyx_t_9);
    PyTuple_SET_ITEM(__pyx_t_10, 3+__pyx_t_4, __pyx_t_9);
    __pyx_t_3 = 0;
    __pyx_t_5 = 0;
    __pyx_t_2 = 0;
    __pyx_t_9 = 0;
    __pyx_t_1 = __Pyx_PyObject_Call(__pyx_t_6, __pyx_t_10, NULL); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 580, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
  }
  __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
  __Pyx_GIVEREF(__pyx_t_1);
  __pyx_cur_scope->__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(((PyObject*)__pyx_cur_scope)); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 583, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __pyx_t_10 = __Pyx_Generator_Next(__pyx_t_6); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 583, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_10);
  __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
  __pyx_t_1 = ((PyObject*)__pyx_t_10);
  __pyx_t_10 = 0;
  __pyx_t_11 = PyList_Sort(__pyx_t_1); if (unlikely(__pyx_t_11 == ((int)-1))) __PYX_ERR(0, 583, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_cur_scope->__pyx_v_solutions);
  __Pyx_DECREF_SET(__pyx_cur_scope->__pyx_v_solutions, __pyx_t_1);
  __Pyx_GIVEREF(__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_12 = __Pyx_PyObject_IsTrue(__pyx_cur_scope->__pyx_v_solutions); if (unlikely(__pyx_t_12 < 0)) __PYX_ERR(0, 584, __pyx_L1_error)
  __pyx_t_13 = ((!__pyx_t_12) != 0);
  if (__pyx_t_13) {

    /* "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);
    PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_v_pt1);
    __Pyx_INCREF(__pyx_v_pt2);
    __Pyx_GIVEREF(__pyx_v_pt2);
    PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_v_pt2);
    __Pyx_INCREF(__pyx_v_pt3);
    __Pyx_GIVEREF(__pyx_v_pt3);
    PyTuple_SET_ITEM(__pyx_t_1, 2, __pyx_v_pt3);
    __Pyx_INCREF(__pyx_v_pt4);
    __Pyx_GIVEREF(__pyx_v_pt4);
    PyTuple_SET_ITEM(__pyx_t_1, 3, __pyx_v_pt4);
    __pyx_t_10 = PyList_New(1); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 585, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_10);
    __Pyx_GIVEREF(__pyx_t_1);
    PyList_SET_ITEM(__pyx_t_10, 0, __pyx_t_1);
    __pyx_t_1 = 0;
    __pyx_r = __pyx_t_10;
    __pyx_t_10 = 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_10, __pyx_n_s_splitCubicAtT); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 586, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_10);
  __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);
  PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_v_a);
  __Pyx_INCREF(__pyx_v_b);
  __Pyx_GIVEREF(__pyx_v_b);
  PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_v_b);
  __Pyx_INCREF(__pyx_v_c);
  __Pyx_GIVEREF(__pyx_v_c);
  PyTuple_SET_ITEM(__pyx_t_1, 2, __pyx_v_c);
  __Pyx_INCREF(__pyx_v_d);
  __Pyx_GIVEREF(__pyx_v_d);
  PyTuple_SET_ITEM(__pyx_t_1, 3, __pyx_v_d);
  __pyx_t_6 = __Pyx_PySequence_Tuple(__pyx_cur_scope->__pyx_v_solutions); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 586, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __pyx_t_9 = PyNumber_Add(__pyx_t_1, __pyx_t_6); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 586, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_9);
  __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_10, __pyx_t_9, NULL); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 586, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
  __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 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_XDECREF(__pyx_t_10);
  __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_gb_9fontTools_4misc_11bezierTools_10splitCubic_2generator3);
  __Pyx_DECREF(((PyObject *)__pyx_cur_scope));
  __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, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __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*)(PyCFunctionWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_31splitQuadraticAtT, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_30splitQuadraticAtT};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_31splitQuadraticAtT(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  PyObject *__pyx_v_pt1 = 0;
  PyObject *__pyx_v_pt2 = 0;
  PyObject *__pyx_v_pt3 = 0;
  PyObject *__pyx_v_ts = 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 (PyTuple_GET_SIZE(__pyx_args) > 3) {
    __pyx_v_ts = PyTuple_GetSlice(__pyx_args, 3, PyTuple_GET_SIZE(__pyx_args));
    if (unlikely(!__pyx_v_ts)) {
      __Pyx_RefNannyFinishContext();
      return NULL;
    }
    __Pyx_GOTREF(__pyx_v_ts);
  } else {
    __pyx_v_ts = __pyx_empty_tuple; __Pyx_INCREF(__pyx_empty_tuple);
  }
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_pt1,&__pyx_n_s_pt2,&__pyx_n_s_pt3,0};
    PyObject* values[3] = {0,0,0};
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        default:
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt1)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt2)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("splitQuadraticAtT", 0, 3, 3, 1); __PYX_ERR(0, 589, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt3)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("splitQuadraticAtT", 0, 3, 3, 2); __PYX_ERR(0, 589, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t used_pos_args = (pos_args < 3) ? pos_args : 3;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, used_pos_args, "splitQuadraticAtT") < 0)) __PYX_ERR(0, 589, __pyx_L3_error)
      }
    } else if (PyTuple_GET_SIZE(__pyx_args) < 3) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
      values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
      values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
    }
    __pyx_v_pt1 = values[0];
    __pyx_v_pt2 = values[1];
    __pyx_v_pt3 = values[2];
  }
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("splitQuadraticAtT", 0, 3, 3, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 589, __pyx_L3_error)
  __pyx_L3_error:;
  __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_XDECREF(__pyx_v_ts);
  __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", 0);

  /* "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 && 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;
    }
  }
  #if CYTHON_FAST_PYCALL
  if (PyFunction_Check(__pyx_t_2)) {
    PyObject *__pyx_temp[4] = {__pyx_t_3, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3};
    __pyx_t_1 = __Pyx_PyFunction_FastCall(__pyx_t_2, __pyx_temp+1-__pyx_t_4, 3+__pyx_t_4); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 609, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_GOTREF(__pyx_t_1);
  } else
  #endif
  #if CYTHON_FAST_PYCCALL
  if (__Pyx_PyFastCFunction_Check(__pyx_t_2)) {
    PyObject *__pyx_temp[4] = {__pyx_t_3, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3};
    __pyx_t_1 = __Pyx_PyCFunction_FastCall(__pyx_t_2, __pyx_temp+1-__pyx_t_4, 3+__pyx_t_4); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 609, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_GOTREF(__pyx_t_1);
  } else
  #endif
  {
    __pyx_t_5 = PyTuple_New(3+__pyx_t_4); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 609, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    if (__pyx_t_3) {
      __Pyx_GIVEREF(__pyx_t_3); PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_t_3); __pyx_t_3 = NULL;
    }
    __Pyx_INCREF(__pyx_v_pt1);
    __Pyx_GIVEREF(__pyx_v_pt1);
    PyTuple_SET_ITEM(__pyx_t_5, 0+__pyx_t_4, __pyx_v_pt1);
    __Pyx_INCREF(__pyx_v_pt2);
    __Pyx_GIVEREF(__pyx_v_pt2);
    PyTuple_SET_ITEM(__pyx_t_5, 1+__pyx_t_4, __pyx_v_pt2);
    __Pyx_INCREF(__pyx_v_pt3);
    __Pyx_GIVEREF(__pyx_v_pt3);
    PyTuple_SET_ITEM(__pyx_t_5, 2+__pyx_t_4, __pyx_v_pt3);
    __pyx_t_1 = __Pyx_PyObject_Call(__pyx_t_2, __pyx_t_5, NULL); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 609, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  }
  __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_5 = PyTuple_GET_ITEM(sequence, 1); 
      __pyx_t_3 = PyTuple_GET_ITEM(sequence, 2); 
    } else {
      __pyx_t_2 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_5 = PyList_GET_ITEM(sequence, 1); 
      __pyx_t_3 = PyList_GET_ITEM(sequence, 2); 
    }
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx_t_5);
    __Pyx_INCREF(__pyx_t_3);
    #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_5 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 609, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __pyx_t_3 = PySequence_ITEM(sequence, 2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 609, __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_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 = Py_TYPE(__pyx_t_6)->tp_iternext;
    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_5 = __pyx_t_7(__pyx_t_6); if (unlikely(!__pyx_t_5)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_5);
    index = 2; __pyx_t_3 = __pyx_t_7(__pyx_t_6); if (unlikely(!__pyx_t_3)) goto __pyx_L3_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_3);
    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_5;
  __pyx_t_5 = 0;
  __pyx_v_c = __pyx_t_3;
  __pyx_t_3 = 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_3 = PyTuple_New(3); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 610, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_INCREF(__pyx_v_a);
  __Pyx_GIVEREF(__pyx_v_a);
  PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_v_a);
  __Pyx_INCREF(__pyx_v_b);
  __Pyx_GIVEREF(__pyx_v_b);
  PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_v_b);
  __Pyx_INCREF(__pyx_v_c);
  __Pyx_GIVEREF(__pyx_v_c);
  PyTuple_SET_ITEM(__pyx_t_3, 2, __pyx_v_c);
  __pyx_t_5 = PyNumber_Add(__pyx_t_3, __pyx_v_ts); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 610, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = __Pyx_PyObject_Call(__pyx_t_1, __pyx_t_5, NULL); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 610, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  __pyx_r = __pyx_t_3;
  __pyx_t_3 = 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, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __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*)(PyCFunctionWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_33splitCubicAtT, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_32splitCubicAtT};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_33splitCubicAtT(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  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;
  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 (PyTuple_GET_SIZE(__pyx_args) > 4) {
    __pyx_v_ts = PyTuple_GetSlice(__pyx_args, 4, PyTuple_GET_SIZE(__pyx_args));
    if (unlikely(!__pyx_v_ts)) {
      __Pyx_RefNannyFinishContext();
      return NULL;
    }
    __Pyx_GOTREF(__pyx_v_ts);
  } else {
    __pyx_v_ts = __pyx_empty_tuple; __Pyx_INCREF(__pyx_empty_tuple);
  }
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_pt1,&__pyx_n_s_pt2,&__pyx_n_s_pt3,&__pyx_n_s_pt4,0};
    PyObject* values[4] = {0,0,0,0};
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        default:
        case  4: values[3] = PyTuple_GET_ITEM(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt1)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt2)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("splitCubicAtT", 0, 4, 4, 1); __PYX_ERR(0, 613, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt3)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("splitCubicAtT", 0, 4, 4, 2); __PYX_ERR(0, 613, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  3:
        if (likely((values[3] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt4)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("splitCubicAtT", 0, 4, 4, 3); __PYX_ERR(0, 613, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t used_pos_args = (pos_args < 4) ? pos_args : 4;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, used_pos_args, "splitCubicAtT") < 0)) __PYX_ERR(0, 613, __pyx_L3_error)
      }
    } else if (PyTuple_GET_SIZE(__pyx_args) < 4) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
      values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
      values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
      values[3] = PyTuple_GET_ITEM(__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_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("splitCubicAtT", 0, 4, 4, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 613, __pyx_L3_error)
  __pyx_L3_error:;
  __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_XDECREF(__pyx_v_ts);
  __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", 0);

  /* "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 && 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;
    }
  }
  #if CYTHON_FAST_PYCALL
  if (PyFunction_Check(__pyx_t_2)) {
    PyObject *__pyx_temp[5] = {__pyx_t_3, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3, __pyx_v_pt4};
    __pyx_t_1 = __Pyx_PyFunction_FastCall(__pyx_t_2, __pyx_temp+1-__pyx_t_4, 4+__pyx_t_4); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 633, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_GOTREF(__pyx_t_1);
  } else
  #endif
  #if CYTHON_FAST_PYCCALL
  if (__Pyx_PyFastCFunction_Check(__pyx_t_2)) {
    PyObject *__pyx_temp[5] = {__pyx_t_3, __pyx_v_pt1, __pyx_v_pt2, __pyx_v_pt3, __pyx_v_pt4};
    __pyx_t_1 = __Pyx_PyCFunction_FastCall(__pyx_t_2, __pyx_temp+1-__pyx_t_4, 4+__pyx_t_4); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 633, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_GOTREF(__pyx_t_1);
  } else
  #endif
  {
    __pyx_t_5 = PyTuple_New(4+__pyx_t_4); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 633, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    if (__pyx_t_3) {
      __Pyx_GIVEREF(__pyx_t_3); PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_t_3); __pyx_t_3 = NULL;
    }
    __Pyx_INCREF(__pyx_v_pt1);
    __Pyx_GIVEREF(__pyx_v_pt1);
    PyTuple_SET_ITEM(__pyx_t_5, 0+__pyx_t_4, __pyx_v_pt1);
    __Pyx_INCREF(__pyx_v_pt2);
    __Pyx_GIVEREF(__pyx_v_pt2);
    PyTuple_SET_ITEM(__pyx_t_5, 1+__pyx_t_4, __pyx_v_pt2);
    __Pyx_INCREF(__pyx_v_pt3);
    __Pyx_GIVEREF(__pyx_v_pt3);
    PyTuple_SET_ITEM(__pyx_t_5, 2+__pyx_t_4, __pyx_v_pt3);
    __Pyx_INCREF(__pyx_v_pt4);
    __Pyx_GIVEREF(__pyx_v_pt4);
    PyTuple_SET_ITEM(__pyx_t_5, 3+__pyx_t_4, __pyx_v_pt4);
    __pyx_t_1 = __Pyx_PyObject_Call(__pyx_t_2, __pyx_t_5, NULL); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 633, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  }
  __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_5 = PyTuple_GET_ITEM(sequence, 1); 
      __pyx_t_3 = PyTuple_GET_ITEM(sequence, 2); 
      __pyx_t_6 = PyTuple_GET_ITEM(sequence, 3); 
    } else {
      __pyx_t_2 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_5 = PyList_GET_ITEM(sequence, 1); 
      __pyx_t_3 = PyList_GET_ITEM(sequence, 2); 
      __pyx_t_6 = PyList_GET_ITEM(sequence, 3); 
    }
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx_t_5);
    __Pyx_INCREF(__pyx_t_3);
    __Pyx_INCREF(__pyx_t_6);
    #else
    {
      Py_ssize_t i;
      PyObject** temps[4] = {&__pyx_t_2,&__pyx_t_5,&__pyx_t_3,&__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_5,&__pyx_t_3,&__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 = Py_TYPE(__pyx_t_7)->tp_iternext;
    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_5;
  __pyx_t_5 = 0;
  __pyx_v_c = __pyx_t_3;
  __pyx_t_3 = 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);
  PyTuple_SET_ITEM(__pyx_t_6, 0, __pyx_v_a);
  __Pyx_INCREF(__pyx_v_b);
  __Pyx_GIVEREF(__pyx_v_b);
  PyTuple_SET_ITEM(__pyx_t_6, 1, __pyx_v_b);
  __Pyx_INCREF(__pyx_v_c);
  __Pyx_GIVEREF(__pyx_v_c);
  PyTuple_SET_ITEM(__pyx_t_6, 2, __pyx_v_c);
  __Pyx_INCREF(__pyx_v_d);
  __Pyx_GIVEREF(__pyx_v_d);
  PyTuple_SET_ITEM(__pyx_t_6, 3, __pyx_v_d);
  __pyx_t_3 = PyNumber_Add(__pyx_t_6, __pyx_v_ts); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 634, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
  __pyx_t_6 = __Pyx_PyObject_Call(__pyx_t_1, __pyx_t_3, 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_3); __pyx_t_3 = 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":647
 *     d=cython.complex,
 * )
 * def splitCubicAtTC(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_35splitCubicAtTC(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __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*)(PyCFunctionWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_35splitCubicAtTC, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_34splitCubicAtTC};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_35splitCubicAtTC(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  __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;
  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 (PyTuple_GET_SIZE(__pyx_args) > 4) {
    __pyx_v_ts = PyTuple_GetSlice(__pyx_args, 4, PyTuple_GET_SIZE(__pyx_args));
    if (unlikely(!__pyx_v_ts)) {
      __Pyx_RefNannyFinishContext();
      return NULL;
    }
    __Pyx_GOTREF(__pyx_v_ts);
  } else {
    __pyx_v_ts = __pyx_empty_tuple; __Pyx_INCREF(__pyx_empty_tuple);
  }
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_pt1,&__pyx_n_s_pt2,&__pyx_n_s_pt3,&__pyx_n_s_pt4,0};
    PyObject* values[4] = {0,0,0,0};
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        default:
        case  4: values[3] = PyTuple_GET_ITEM(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt1)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt2)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("splitCubicAtTC", 0, 4, 4, 1); __PYX_ERR(0, 647, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt3)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("splitCubicAtTC", 0, 4, 4, 2); __PYX_ERR(0, 647, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  3:
        if (likely((values[3] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt4)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("splitCubicAtTC", 0, 4, 4, 3); __PYX_ERR(0, 647, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t used_pos_args = (pos_args < 4) ? pos_args : 4;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, used_pos_args, "splitCubicAtTC") < 0)) __PYX_ERR(0, 647, __pyx_L3_error)
      }
    } else if (PyTuple_GET_SIZE(__pyx_args) < 4) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
      values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
      values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
      values[3] = PyTuple_GET_ITEM(__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_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("splitCubicAtTC", 0, 4, 4, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 647, __pyx_L3_error)
  __pyx_L3_error:;
  __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_XDECREF(__pyx_v_ts);
  __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_4_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_4_splitCubicAtTC *)__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_splitCubicAtTC(__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_splitCubicAtTC, __pyx_empty_tuple, NULL);
  if (unlikely(!__pyx_cur_scope)) {
    __pyx_cur_scope = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_splitCubicAtTC *)Py_None);
    __Pyx_INCREF(Py_None);
    __PYX_ERR(0, 647, __pyx_L1_error)
  } else {
    __Pyx_GOTREF(__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, 647, __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_4_splitCubicAtTC *__pyx_cur_scope = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_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, 647, __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 = Py_TYPE(__pyx_t_6)->tp_iternext;
    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);
  PyTuple_SET_ITEM(__pyx_t_6, 0, __pyx_t_5);
  __Pyx_GIVEREF(__pyx_t_4);
  PyTuple_SET_ITEM(__pyx_t_6, 1, __pyx_t_4);
  __Pyx_GIVEREF(__pyx_t_3);
  PyTuple_SET_ITEM(__pyx_t_6, 2, __pyx_t_3);
  __Pyx_GIVEREF(__pyx_t_2);
  PyTuple_SET_ITEM(__pyx_t_6, 3, __pyx_t_2);
  __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_Occurred();
    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":647
 *     d=cython.complex,
 * )
 * def splitCubicAtTC(pt1, pt2, pt3, pt4, *ts):             # <<<<<<<<<<<<<<
 *     """Split a cubic Bezier curve at one or more values of t.
 * 
 */

  /* function exit code */
  PyErr_SetNone(PyExc_StopIteration);
  goto __pyx_L0;
  __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("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":675
 *     t2=cython.double, _1_t=cython.double, _1_t_2=cython.double, _2_t_1_t=cython.double
 * )
 * def splitCubicIntoTwoAtTC(pt1, pt2, pt3, pt4, t):             # <<<<<<<<<<<<<<
 *     """Split a cubic Bezier curve at t.
 * 
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_38splitCubicIntoTwoAtTC(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __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*)(PyCFunctionWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_38splitCubicIntoTwoAtTC, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_37splitCubicIntoTwoAtTC};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_38splitCubicIntoTwoAtTC(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  __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;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("splitCubicIntoTwoAtTC (wrapper)", 0);
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_pt1,&__pyx_n_s_pt2,&__pyx_n_s_pt3,&__pyx_n_s_pt4,&__pyx_n_s_t,0};
    PyObject* values[5] = {0,0,0,0,0};
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        case  5: values[4] = PyTuple_GET_ITEM(__pyx_args, 4);
        CYTHON_FALLTHROUGH;
        case  4: values[3] = PyTuple_GET_ITEM(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt1)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt2)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("splitCubicIntoTwoAtTC", 1, 5, 5, 1); __PYX_ERR(0, 675, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt3)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("splitCubicIntoTwoAtTC", 1, 5, 5, 2); __PYX_ERR(0, 675, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  3:
        if (likely((values[3] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt4)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("splitCubicIntoTwoAtTC", 1, 5, 5, 3); __PYX_ERR(0, 675, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  4:
        if (likely((values[4] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_t)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("splitCubicIntoTwoAtTC", 1, 5, 5, 4); __PYX_ERR(0, 675, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "splitCubicIntoTwoAtTC") < 0)) __PYX_ERR(0, 675, __pyx_L3_error)
      }
    } else if (PyTuple_GET_SIZE(__pyx_args) != 5) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
      values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
      values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
      values[3] = PyTuple_GET_ITEM(__pyx_args, 3);
      values[4] = PyTuple_GET_ITEM(__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_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("splitCubicIntoTwoAtTC", 1, 5, 5, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 675, __pyx_L3_error)
  __pyx_L3_error:;
  __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 */
  __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", 0);

  /* "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);
  PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_t_1);
  __Pyx_GIVEREF(__pyx_t_2);
  PyTuple_SET_ITEM(__pyx_t_5, 1, __pyx_t_2);
  __Pyx_GIVEREF(__pyx_t_3);
  PyTuple_SET_ITEM(__pyx_t_5, 2, __pyx_t_3);
  __Pyx_GIVEREF(__pyx_t_4);
  PyTuple_SET_ITEM(__pyx_t_5, 3, __pyx_t_4);
  __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);
  PyTuple_SET_ITEM(__pyx_t_6, 0, __pyx_t_4);
  __Pyx_GIVEREF(__pyx_t_3);
  PyTuple_SET_ITEM(__pyx_t_6, 1, __pyx_t_3);
  __Pyx_GIVEREF(__pyx_t_2);
  PyTuple_SET_ITEM(__pyx_t_6, 2, __pyx_t_2);
  __Pyx_GIVEREF(__pyx_t_1);
  PyTuple_SET_ITEM(__pyx_t_6, 3, __pyx_t_1);
  __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);
  PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_t_5);
  __Pyx_GIVEREF(__pyx_t_6);
  PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_t_6);
  __pyx_t_5 = 0;
  __pyx_t_6 = 0;
  __pyx_r = __pyx_t_1;
  __pyx_t_1 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":675
 *     t2=cython.double, _1_t=cython.double, _1_t_2=cython.double, _2_t_1_t=cython.double
 * )
 * def splitCubicIntoTwoAtTC(pt1, pt2, pt3, pt4, t):             # <<<<<<<<<<<<<<
 *     """Split a cubic Bezier curve at 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_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, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __pyx_doc_9fontTools_4misc_11bezierTools_39_splitQuadraticAtT[] = "_splitQuadraticAtT(a, b, c, *ts)";
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_40_splitQuadraticAtT = {"_splitQuadraticAtT", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_40_splitQuadraticAtT, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_39_splitQuadraticAtT};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_40_splitQuadraticAtT(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  PyObject *__pyx_v_a = 0;
  PyObject *__pyx_v_b = 0;
  PyObject *__pyx_v_c = 0;
  PyObject *__pyx_v_ts = 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 (PyTuple_GET_SIZE(__pyx_args) > 3) {
    __pyx_v_ts = PyTuple_GetSlice(__pyx_args, 3, PyTuple_GET_SIZE(__pyx_args));
    if (unlikely(!__pyx_v_ts)) {
      __Pyx_RefNannyFinishContext();
      return NULL;
    }
    __Pyx_GOTREF(__pyx_v_ts);
  } else {
    __pyx_v_ts = __pyx_empty_tuple; __Pyx_INCREF(__pyx_empty_tuple);
  }
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_a,&__pyx_n_s_b,&__pyx_n_s_c,0};
    PyObject* values[3] = {0,0,0};
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        default:
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_a)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_b)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("_splitQuadraticAtT", 0, 3, 3, 1); __PYX_ERR(0, 701, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_c)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("_splitQuadraticAtT", 0, 3, 3, 2); __PYX_ERR(0, 701, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t used_pos_args = (pos_args < 3) ? pos_args : 3;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, used_pos_args, "_splitQuadraticAtT") < 0)) __PYX_ERR(0, 701, __pyx_L3_error)
      }
    } else if (PyTuple_GET_SIZE(__pyx_args) < 3) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
      values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
      values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
    }
    __pyx_v_a = values[0];
    __pyx_v_b = values[1];
    __pyx_v_c = values[2];
  }
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("_splitQuadraticAtT", 0, 3, 3, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 701, __pyx_L3_error)
  __pyx_L3_error:;
  __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_XDECREF(__pyx_v_ts);
  __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;
  PyObject *__pyx_t_13 = NULL;
  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 = Py_TYPE(__pyx_t_4)->tp_iternext;
    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 = Py_TYPE(__pyx_t_4)->tp_iternext;
    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 = Py_TYPE(__pyx_t_4)->tp_iternext;
    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 = Py_TYPE(__pyx_t_1)->tp_iternext; 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))) {
        if (__pyx_t_6 >= PyList_GET_SIZE(__pyx_t_1)) 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 = 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 {
        if (__pyx_t_6 >= PyTuple_GET_SIZE(__pyx_t_1)) 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 = 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 = PyNumber_Multiply(__pyx_int_2, __pyx_v_ax); 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 = PyNumber_Multiply(__pyx_int_2, __pyx_v_ay); 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);
    PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_v_a1x);
    __Pyx_INCREF(__pyx_v_a1y);
    __Pyx_GIVEREF(__pyx_v_a1y);
    PyTuple_SET_ITEM(__pyx_t_2, 1, __pyx_v_a1y);
    __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);
    PyTuple_SET_ITEM(__pyx_t_9, 0, __pyx_v_b1x);
    __Pyx_INCREF(__pyx_v_b1y);
    __Pyx_GIVEREF(__pyx_v_b1y);
    PyTuple_SET_ITEM(__pyx_t_9, 1, __pyx_v_b1y);
    __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);
    PyTuple_SET_ITEM(__pyx_t_10, 0, __pyx_v_c1x);
    __Pyx_INCREF(__pyx_v_c1y);
    __Pyx_GIVEREF(__pyx_v_c1y);
    PyTuple_SET_ITEM(__pyx_t_10, 1, __pyx_v_c1y);
    __pyx_t_11 = NULL;
    __pyx_t_12 = 0;
    if (CYTHON_UNPACK_METHODS && 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;
      }
    }
    #if CYTHON_FAST_PYCALL
    if (PyFunction_Check(__pyx_t_4)) {
      PyObject *__pyx_temp[4] = {__pyx_t_11, __pyx_t_2, __pyx_t_9, __pyx_t_10};
      __pyx_t_8 = __Pyx_PyFunction_FastCall(__pyx_t_4, __pyx_temp+1-__pyx_t_12, 3+__pyx_t_12); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 723, __pyx_L1_error)
      __Pyx_XDECREF(__pyx_t_11); __pyx_t_11 = 0;
      __Pyx_GOTREF(__pyx_t_8);
      __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;
    } else
    #endif
    #if CYTHON_FAST_PYCCALL
    if (__Pyx_PyFastCFunction_Check(__pyx_t_4)) {
      PyObject *__pyx_temp[4] = {__pyx_t_11, __pyx_t_2, __pyx_t_9, __pyx_t_10};
      __pyx_t_8 = __Pyx_PyCFunction_FastCall(__pyx_t_4, __pyx_temp+1-__pyx_t_12, 3+__pyx_t_12); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 723, __pyx_L1_error)
      __Pyx_XDECREF(__pyx_t_11); __pyx_t_11 = 0;
      __Pyx_GOTREF(__pyx_t_8);
      __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;
    } else
    #endif
    {
      __pyx_t_13 = PyTuple_New(3+__pyx_t_12); if (unlikely(!__pyx_t_13)) __PYX_ERR(0, 723, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_13);
      if (__pyx_t_11) {
        __Pyx_GIVEREF(__pyx_t_11); PyTuple_SET_ITEM(__pyx_t_13, 0, __pyx_t_11); __pyx_t_11 = NULL;
      }
      __Pyx_GIVEREF(__pyx_t_2);
      PyTuple_SET_ITEM(__pyx_t_13, 0+__pyx_t_12, __pyx_t_2);
      __Pyx_GIVEREF(__pyx_t_9);
      PyTuple_SET_ITEM(__pyx_t_13, 1+__pyx_t_12, __pyx_t_9);
      __Pyx_GIVEREF(__pyx_t_10);
      PyTuple_SET_ITEM(__pyx_t_13, 2+__pyx_t_12, __pyx_t_10);
      __pyx_t_2 = 0;
      __pyx_t_9 = 0;
      __pyx_t_10 = 0;
      __pyx_t_8 = __Pyx_PyObject_Call(__pyx_t_4, __pyx_t_13, NULL); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 723, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_8);
      __Pyx_DECREF(__pyx_t_13); __pyx_t_13 = 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 != 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_13 = PyTuple_GET_ITEM(sequence, 1); 
        __pyx_t_10 = PyTuple_GET_ITEM(sequence, 2); 
      } else {
        __pyx_t_4 = PyList_GET_ITEM(sequence, 0); 
        __pyx_t_13 = PyList_GET_ITEM(sequence, 1); 
        __pyx_t_10 = PyList_GET_ITEM(sequence, 2); 
      }
      __Pyx_INCREF(__pyx_t_4);
      __Pyx_INCREF(__pyx_t_13);
      __Pyx_INCREF(__pyx_t_10);
      #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_13 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_13)) __PYX_ERR(0, 723, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_13);
      __pyx_t_10 = PySequence_ITEM(sequence, 2); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 723, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_10);
      #endif
      __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
    } else {
      Py_ssize_t index = -1;
      __pyx_t_9 = PyObject_GetIter(__pyx_t_8); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 723, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_9);
      __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
      __pyx_t_5 = Py_TYPE(__pyx_t_9)->tp_iternext;
      index = 0; __pyx_t_4 = __pyx_t_5(__pyx_t_9); if (unlikely(!__pyx_t_4)) goto __pyx_L11_unpacking_failed;
      __Pyx_GOTREF(__pyx_t_4);
      index = 1; __pyx_t_13 = __pyx_t_5(__pyx_t_9); if (unlikely(!__pyx_t_13)) goto __pyx_L11_unpacking_failed;
      __Pyx_GOTREF(__pyx_t_13);
      index = 2; __pyx_t_10 = __pyx_t_5(__pyx_t_9); if (unlikely(!__pyx_t_10)) goto __pyx_L11_unpacking_failed;
      __Pyx_GOTREF(__pyx_t_10);
      if (__Pyx_IternextUnpackEndCheck(__pyx_t_5(__pyx_t_9), 3) < 0) __PYX_ERR(0, 723, __pyx_L1_error)
      __pyx_t_5 = NULL;
      __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
      goto __pyx_L12_unpacking_done;
      __pyx_L11_unpacking_failed:;
      __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 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_13);
    __pyx_t_13 = 0;
    __Pyx_XDECREF_SET(__pyx_v_pt3, __pyx_t_10);
    __pyx_t_10 = 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);
    PyTuple_SET_ITEM(__pyx_t_8, 0, __pyx_v_pt1);
    __Pyx_INCREF(__pyx_v_pt2);
    __Pyx_GIVEREF(__pyx_v_pt2);
    PyTuple_SET_ITEM(__pyx_t_8, 1, __pyx_v_pt2);
    __Pyx_INCREF(__pyx_v_pt3);
    __Pyx_GIVEREF(__pyx_v_pt3);
    PyTuple_SET_ITEM(__pyx_t_8, 2, __pyx_v_pt3);
    __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_XDECREF(__pyx_t_13);
  __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, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __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*)(PyCFunctionWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_42_splitCubicAtT, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_41_splitCubicAtT};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_42_splitCubicAtT(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  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;
  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 (PyTuple_GET_SIZE(__pyx_args) > 4) {
    __pyx_v_ts = PyTuple_GetSlice(__pyx_args, 4, PyTuple_GET_SIZE(__pyx_args));
    if (unlikely(!__pyx_v_ts)) {
      __Pyx_RefNannyFinishContext();
      return NULL;
    }
    __Pyx_GOTREF(__pyx_v_ts);
  } else {
    __pyx_v_ts = __pyx_empty_tuple; __Pyx_INCREF(__pyx_empty_tuple);
  }
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_a,&__pyx_n_s_b,&__pyx_n_s_c,&__pyx_n_s_d,0};
    PyObject* values[4] = {0,0,0,0};
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        default:
        case  4: values[3] = PyTuple_GET_ITEM(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_a)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_b)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("_splitCubicAtT", 0, 4, 4, 1); __PYX_ERR(0, 728, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_c)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("_splitCubicAtT", 0, 4, 4, 2); __PYX_ERR(0, 728, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  3:
        if (likely((values[3] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_d)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("_splitCubicAtT", 0, 4, 4, 3); __PYX_ERR(0, 728, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t used_pos_args = (pos_args < 4) ? pos_args : 4;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, used_pos_args, "_splitCubicAtT") < 0)) __PYX_ERR(0, 728, __pyx_L3_error)
      }
    } else if (PyTuple_GET_SIZE(__pyx_args) < 4) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
      values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
      values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
      values[3] = PyTuple_GET_ITEM(__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_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("_splitCubicAtT", 0, 4, 4, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 728, __pyx_L3_error)
  __pyx_L3_error:;
  __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_XDECREF(__pyx_v_ts);
  __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;
  PyObject *__pyx_t_14 = NULL;
  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 = Py_TYPE(__pyx_t_4)->tp_iternext;
    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 = Py_TYPE(__pyx_t_4)->tp_iternext;
    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 = Py_TYPE(__pyx_t_4)->tp_iternext;
    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 = Py_TYPE(__pyx_t_4)->tp_iternext;
    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 = Py_TYPE(__pyx_t_2)->tp_iternext; 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))) {
        if (__pyx_t_6 >= PyList_GET_SIZE(__pyx_t_2)) 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 = 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 {
        if (__pyx_t_6 >= PyTuple_GET_SIZE(__pyx_t_2)) 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 = 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 = PyNumber_Multiply(__pyx_int_3, __pyx_v_ax); 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 = PyNumber_Multiply(__pyx_int_3, __pyx_v_ay); 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 = PyNumber_Multiply(__pyx_int_2, __pyx_v_bx); 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 = PyNumber_Multiply(__pyx_int_3, __pyx_v_ax); 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 = PyNumber_Multiply(__pyx_int_2, __pyx_v_by); 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 = PyNumber_Multiply(__pyx_int_3, __pyx_v_ay); 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);
    PyTuple_SET_ITEM(__pyx_t_8, 0, __pyx_v_a1x);
    __Pyx_INCREF(__pyx_v_a1y);
    __Pyx_GIVEREF(__pyx_v_a1y);
    PyTuple_SET_ITEM(__pyx_t_8, 1, __pyx_v_a1y);
    __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);
    PyTuple_SET_ITEM(__pyx_t_9, 0, __pyx_v_b1x);
    __Pyx_INCREF(__pyx_v_b1y);
    __Pyx_GIVEREF(__pyx_v_b1y);
    PyTuple_SET_ITEM(__pyx_t_9, 1, __pyx_v_b1y);
    __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);
    PyTuple_SET_ITEM(__pyx_t_10, 0, __pyx_v_c1x);
    __Pyx_INCREF(__pyx_v_c1y);
    __Pyx_GIVEREF(__pyx_v_c1y);
    PyTuple_SET_ITEM(__pyx_t_10, 1, __pyx_v_c1y);
    __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);
    PyTuple_SET_ITEM(__pyx_t_11, 0, __pyx_v_d1x);
    __Pyx_INCREF(__pyx_v_d1y);
    __Pyx_GIVEREF(__pyx_v_d1y);
    PyTuple_SET_ITEM(__pyx_t_11, 1, __pyx_v_d1y);
    __pyx_t_12 = NULL;
    __pyx_t_13 = 0;
    if (CYTHON_UNPACK_METHODS && 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;
      }
    }
    #if CYTHON_FAST_PYCALL
    if (PyFunction_Check(__pyx_t_1)) {
      PyObject *__pyx_temp[5] = {__pyx_t_12, __pyx_t_8, __pyx_t_9, __pyx_t_10, __pyx_t_11};
      __pyx_t_4 = __Pyx_PyFunction_FastCall(__pyx_t_1, __pyx_temp+1-__pyx_t_13, 4+__pyx_t_13); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 756, __pyx_L1_error)
      __Pyx_XDECREF(__pyx_t_12); __pyx_t_12 = 0;
      __Pyx_GOTREF(__pyx_t_4);
      __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;
    } else
    #endif
    #if CYTHON_FAST_PYCCALL
    if (__Pyx_PyFastCFunction_Check(__pyx_t_1)) {
      PyObject *__pyx_temp[5] = {__pyx_t_12, __pyx_t_8, __pyx_t_9, __pyx_t_10, __pyx_t_11};
      __pyx_t_4 = __Pyx_PyCFunction_FastCall(__pyx_t_1, __pyx_temp+1-__pyx_t_13, 4+__pyx_t_13); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 756, __pyx_L1_error)
      __Pyx_XDECREF(__pyx_t_12); __pyx_t_12 = 0;
      __Pyx_GOTREF(__pyx_t_4);
      __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;
    } else
    #endif
    {
      __pyx_t_14 = PyTuple_New(4+__pyx_t_13); if (unlikely(!__pyx_t_14)) __PYX_ERR(0, 756, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_14);
      if (__pyx_t_12) {
        __Pyx_GIVEREF(__pyx_t_12); PyTuple_SET_ITEM(__pyx_t_14, 0, __pyx_t_12); __pyx_t_12 = NULL;
      }
      __Pyx_GIVEREF(__pyx_t_8);
      PyTuple_SET_ITEM(__pyx_t_14, 0+__pyx_t_13, __pyx_t_8);
      __Pyx_GIVEREF(__pyx_t_9);
      PyTuple_SET_ITEM(__pyx_t_14, 1+__pyx_t_13, __pyx_t_9);
      __Pyx_GIVEREF(__pyx_t_10);
      PyTuple_SET_ITEM(__pyx_t_14, 2+__pyx_t_13, __pyx_t_10);
      __Pyx_GIVEREF(__pyx_t_11);
      PyTuple_SET_ITEM(__pyx_t_14, 3+__pyx_t_13, __pyx_t_11);
      __pyx_t_8 = 0;
      __pyx_t_9 = 0;
      __pyx_t_10 = 0;
      __pyx_t_11 = 0;
      __pyx_t_4 = __Pyx_PyObject_Call(__pyx_t_1, __pyx_t_14, NULL); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 756, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_4);
      __Pyx_DECREF(__pyx_t_14); __pyx_t_14 = 0;
    }
    __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_14 = PyTuple_GET_ITEM(sequence, 1); 
        __pyx_t_11 = PyTuple_GET_ITEM(sequence, 2); 
        __pyx_t_10 = PyTuple_GET_ITEM(sequence, 3); 
      } else {
        __pyx_t_1 = PyList_GET_ITEM(sequence, 0); 
        __pyx_t_14 = PyList_GET_ITEM(sequence, 1); 
        __pyx_t_11 = PyList_GET_ITEM(sequence, 2); 
        __pyx_t_10 = PyList_GET_ITEM(sequence, 3); 
      }
      __Pyx_INCREF(__pyx_t_1);
      __Pyx_INCREF(__pyx_t_14);
      __Pyx_INCREF(__pyx_t_11);
      __Pyx_INCREF(__pyx_t_10);
      #else
      {
        Py_ssize_t i;
        PyObject** temps[4] = {&__pyx_t_1,&__pyx_t_14,&__pyx_t_11,&__pyx_t_10};
        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_14,&__pyx_t_11,&__pyx_t_10};
      __pyx_t_9 = PyObject_GetIter(__pyx_t_4); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 756, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_9);
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      __pyx_t_5 = Py_TYPE(__pyx_t_9)->tp_iternext;
      for (index=0; index < 4; index++) {
        PyObject* item = __pyx_t_5(__pyx_t_9); if (unlikely(!item)) goto __pyx_L13_unpacking_failed;
        __Pyx_GOTREF(item);
        *(temps[index]) = item;
      }
      if (__Pyx_IternextUnpackEndCheck(__pyx_t_5(__pyx_t_9), 4) < 0) __PYX_ERR(0, 756, __pyx_L1_error)
      __pyx_t_5 = NULL;
      __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
      goto __pyx_L14_unpacking_done;
      __pyx_L13_unpacking_failed:;
      __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 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_14);
    __pyx_t_14 = 0;
    __Pyx_XDECREF_SET(__pyx_v_pt3, __pyx_t_11);
    __pyx_t_11 = 0;
    __Pyx_XDECREF_SET(__pyx_v_pt4, __pyx_t_10);
    __pyx_t_10 = 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);
    PyTuple_SET_ITEM(__pyx_t_4, 0, __pyx_v_pt1);
    __Pyx_INCREF(__pyx_v_pt2);
    __Pyx_GIVEREF(__pyx_v_pt2);
    PyTuple_SET_ITEM(__pyx_t_4, 1, __pyx_v_pt2);
    __Pyx_INCREF(__pyx_v_pt3);
    __Pyx_GIVEREF(__pyx_v_pt3);
    PyTuple_SET_ITEM(__pyx_t_4, 2, __pyx_v_pt3);
    __Pyx_INCREF(__pyx_v_pt4);
    __Pyx_GIVEREF(__pyx_v_pt4);
    PyTuple_SET_ITEM(__pyx_t_4, 3, __pyx_v_pt4);
    __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_XDECREF(__pyx_t_14);
  __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":778
 *     d1=cython.complex,
 * )
 * def _splitCubicAtTC(a, b, c, d, *ts):             # <<<<<<<<<<<<<<
 *     ts = list(ts)
 *     ts.insert(0, 0.0)
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_44_splitCubicAtTC(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __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*)(PyCFunctionWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_44_splitCubicAtTC, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_43_splitCubicAtTC};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_44_splitCubicAtTC(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  __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;
  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 (PyTuple_GET_SIZE(__pyx_args) > 4) {
    __pyx_v_ts = PyTuple_GetSlice(__pyx_args, 4, PyTuple_GET_SIZE(__pyx_args));
    if (unlikely(!__pyx_v_ts)) {
      __Pyx_RefNannyFinishContext();
      return NULL;
    }
    __Pyx_GOTREF(__pyx_v_ts);
  } else {
    __pyx_v_ts = __pyx_empty_tuple; __Pyx_INCREF(__pyx_empty_tuple);
  }
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_a,&__pyx_n_s_b,&__pyx_n_s_c,&__pyx_n_s_d,0};
    PyObject* values[4] = {0,0,0,0};
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        default:
        case  4: values[3] = PyTuple_GET_ITEM(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_a)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_b)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("_splitCubicAtTC", 0, 4, 4, 1); __PYX_ERR(0, 778, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_c)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("_splitCubicAtTC", 0, 4, 4, 2); __PYX_ERR(0, 778, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  3:
        if (likely((values[3] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_d)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("_splitCubicAtTC", 0, 4, 4, 3); __PYX_ERR(0, 778, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        const Py_ssize_t used_pos_args = (pos_args < 4) ? pos_args : 4;
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, used_pos_args, "_splitCubicAtTC") < 0)) __PYX_ERR(0, 778, __pyx_L3_error)
      }
    } else if (PyTuple_GET_SIZE(__pyx_args) < 4) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
      values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
      values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
      values[3] = PyTuple_GET_ITEM(__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_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("_splitCubicAtTC", 0, 4, 4, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 778, __pyx_L3_error)
  __pyx_L3_error:;
  __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_XDECREF(__pyx_v_ts);
  __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_5__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_5__splitCubicAtTC *)__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__splitCubicAtTC(__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__splitCubicAtTC, __pyx_empty_tuple, NULL);
  if (unlikely(!__pyx_cur_scope)) {
    __pyx_cur_scope = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__splitCubicAtTC *)Py_None);
    __Pyx_INCREF(Py_None);
    __PYX_ERR(0, 778, __pyx_L1_error)
  } else {
    __Pyx_GOTREF(__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, 778, __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_5__splitCubicAtTC *__pyx_cur_scope = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__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, 778, __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 = Py_TYPE(__pyx_t_2)->tp_iternext; 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))) {
        if (__pyx_t_4 >= PyList_GET_SIZE(__pyx_t_2)) 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 = 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 {
        if (__pyx_t_4 >= PyTuple_GET_SIZE(__pyx_t_2)) 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 = 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 = Py_TYPE(__pyx_t_11)->tp_iternext;
      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);
    PyTuple_SET_ITEM(__pyx_t_7, 0, __pyx_cur_scope->__pyx_v_pt1);
    __Pyx_INCREF(__pyx_cur_scope->__pyx_v_pt2);
    __Pyx_GIVEREF(__pyx_cur_scope->__pyx_v_pt2);
    PyTuple_SET_ITEM(__pyx_t_7, 1, __pyx_cur_scope->__pyx_v_pt2);
    __Pyx_INCREF(__pyx_cur_scope->__pyx_v_pt3);
    __Pyx_GIVEREF(__pyx_cur_scope->__pyx_v_pt3);
    PyTuple_SET_ITEM(__pyx_t_7, 2, __pyx_cur_scope->__pyx_v_pt3);
    __Pyx_INCREF(__pyx_cur_scope->__pyx_v_pt4);
    __Pyx_GIVEREF(__pyx_cur_scope->__pyx_v_pt4);
    PyTuple_SET_ITEM(__pyx_t_7, 3, __pyx_cur_scope->__pyx_v_pt4);
    __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":778
 *     d1=cython.complex,
 * )
 * def _splitCubicAtTC(a, b, c, d, *ts):             # <<<<<<<<<<<<<<
 *     ts = list(ts)
 *     ts.insert(0, 0.0)
 */

  /* function exit code */
  PyErr_SetNone(PyExc_StopIteration);
  goto __pyx_L0;
  __pyx_L1_error:;
  __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_94__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__", 0);
  __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);
  PyTuple_SET_ITEM(__pyx_t_1, 0, __Pyx_CyFunction_Defaults(__pyx_defaults, __pyx_self)->__pyx_arg_sqrt);
  __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);
  PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_t_1);
  __Pyx_INCREF(Py_None);
  __Pyx_GIVEREF(Py_None);
  PyTuple_SET_ITEM(__pyx_t_2, 1, Py_None);
  __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, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __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*)(PyCFunctionWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_47solveQuadratic, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_46solveQuadratic};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_47solveQuadratic(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  PyObject *__pyx_v_a = 0;
  PyObject *__pyx_v_b = 0;
  PyObject *__pyx_v_c = 0;
  PyObject *__pyx_v_sqrt = 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);
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_a,&__pyx_n_s_b,&__pyx_n_s_c,&__pyx_n_s_sqrt,0};
    PyObject* values[4] = {0,0,0,0};
    __pyx_defaults *__pyx_dynamic_args = __Pyx_CyFunction_Defaults(__pyx_defaults, __pyx_self);
    values[3] = __pyx_dynamic_args->__pyx_arg_sqrt;
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        case  4: values[3] = PyTuple_GET_ITEM(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_a)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_b)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("solveQuadratic", 0, 3, 4, 1); __PYX_ERR(0, 808, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_c)) != 0)) kw_args--;
        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_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_sqrt);
          if (value) { values[3] = value; kw_args--; }
        }
      }
      if (unlikely(kw_args > 0)) {
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "solveQuadratic") < 0)) __PYX_ERR(0, 808, __pyx_L3_error)
      }
    } else {
      switch (PyTuple_GET_SIZE(__pyx_args)) {
        case  4: values[3] = PyTuple_GET_ITEM(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        values[0] = PyTuple_GET_ITEM(__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_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("solveQuadratic", 0, 3, 4, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 808, __pyx_L3_error)
  __pyx_L3_error:;
  __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 */
  __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_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("solveQuadratic", 0);

  /* "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);
      PyList_SET_ITEM(__pyx_t_1, 0, __pyx_t_2);
      __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;
      if (CYTHON_UNPACK_METHODS && 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_2 = (__pyx_t_1) ? __Pyx_PyObject_Call2Args(__pyx_t_3, __pyx_t_1, __pyx_v_DD) : __Pyx_PyObject_CallOneArg(__pyx_t_3, __pyx_v_DD);
      __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);
      PyList_SET_ITEM(__pyx_t_2, 0, __pyx_t_3);
      __Pyx_GIVEREF(__pyx_t_1);
      PyList_SET_ITEM(__pyx_t_2, 1, __pyx_t_1);
      __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, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __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*)(PyCFunctionWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_49solveCubic, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_48solveCubic};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_49solveCubic(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  PyObject *__pyx_v_a = 0;
  PyObject *__pyx_v_b = 0;
  PyObject *__pyx_v_c = 0;
  PyObject *__pyx_v_d = 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);
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_a,&__pyx_n_s_b,&__pyx_n_s_c,&__pyx_n_s_d,0};
    PyObject* values[4] = {0,0,0,0};
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        case  4: values[3] = PyTuple_GET_ITEM(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_a)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_b)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("solveCubic", 1, 4, 4, 1); __PYX_ERR(0, 841, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_c)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("solveCubic", 1, 4, 4, 2); __PYX_ERR(0, 841, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  3:
        if (likely((values[3] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_d)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("solveCubic", 1, 4, 4, 3); __PYX_ERR(0, 841, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "solveCubic") < 0)) __PYX_ERR(0, 841, __pyx_L3_error)
      }
    } else if (PyTuple_GET_SIZE(__pyx_args) != 4) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
      values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
      values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
      values[3] = PyTuple_GET_ITEM(__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_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("solveCubic", 1, 4, 4, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 841, __pyx_L3_error)
  __pyx_L3_error:;
  __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 */
  __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 && 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;
      }
    }
    #if CYTHON_FAST_PYCALL
    if (PyFunction_Check(__pyx_t_2)) {
      PyObject *__pyx_temp[4] = {__pyx_t_1, __pyx_v_b, __pyx_v_c, __pyx_v_d};
      __pyx_t_3 = __Pyx_PyFunction_FastCall(__pyx_t_2, __pyx_temp+1-__pyx_t_5, 3+__pyx_t_5); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 882, __pyx_L1_error)
      __Pyx_XDECREF(__pyx_t_1); __pyx_t_1 = 0;
      __Pyx_GOTREF(__pyx_t_3);
    } else
    #endif
    #if CYTHON_FAST_PYCCALL
    if (__Pyx_PyFastCFunction_Check(__pyx_t_2)) {
      PyObject *__pyx_temp[4] = {__pyx_t_1, __pyx_v_b, __pyx_v_c, __pyx_v_d};
      __pyx_t_3 = __Pyx_PyCFunction_FastCall(__pyx_t_2, __pyx_temp+1-__pyx_t_5, 3+__pyx_t_5); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 882, __pyx_L1_error)
      __Pyx_XDECREF(__pyx_t_1); __pyx_t_1 = 0;
      __Pyx_GOTREF(__pyx_t_3);
    } else
    #endif
    {
      __pyx_t_6 = PyTuple_New(3+__pyx_t_5); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 882, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_6);
      if (__pyx_t_1) {
        __Pyx_GIVEREF(__pyx_t_1); PyTuple_SET_ITEM(__pyx_t_6, 0, __pyx_t_1); __pyx_t_1 = NULL;
      }
      __Pyx_INCREF(__pyx_v_b);
      __Pyx_GIVEREF(__pyx_v_b);
      PyTuple_SET_ITEM(__pyx_t_6, 0+__pyx_t_5, __pyx_v_b);
      __Pyx_INCREF(__pyx_v_c);
      __Pyx_GIVEREF(__pyx_v_c);
      PyTuple_SET_ITEM(__pyx_t_6, 1+__pyx_t_5, __pyx_v_c);
      __Pyx_INCREF(__pyx_v_d);
      __Pyx_GIVEREF(__pyx_v_d);
      PyTuple_SET_ITEM(__pyx_t_6, 2+__pyx_t_5, __pyx_v_d);
      __pyx_t_3 = __Pyx_PyObject_Call(__pyx_t_2, __pyx_t_6, NULL); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 882, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
      __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 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":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_6 = PyNumber_Subtract(__pyx_t_3, __pyx_t_2); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 888, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __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_6, __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_6); __pyx_t_6 = 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_6 = PyNumber_Multiply(__pyx_t_2, __pyx_v_a1); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 889, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = PyNumber_Multiply(__pyx_t_6, __pyx_v_a1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 889, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
  __pyx_t_6 = PyNumber_Multiply(__pyx_float_9_0, __pyx_v_a1); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 889, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __pyx_t_3 = PyNumber_Multiply(__pyx_t_6, __pyx_v_a2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 889, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
  __pyx_t_6 = PyNumber_Subtract(__pyx_t_2, __pyx_t_3); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 889, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __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_6, __pyx_t_3); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 889, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 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_6 = PyObject_RichCompare(__pyx_v_R2, __pyx_t_3, Py_LT); __Pyx_XGOTREF(__pyx_t_6); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 893, __pyx_L1_error)
  __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, 893, __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_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_6 = __Pyx_PyNumber_Absolute(__pyx_v_Q3); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 894, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __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_1 = PyObject_RichCompare(__pyx_t_6, __pyx_t_3, Py_LT); __Pyx_XGOTREF(__pyx_t_1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 894, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
  __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, 894, __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_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_2 = __Pyx_PyFloat_EqObjC(__pyx_v_R2, __pyx_float_0_0, 0.0, 0, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 898, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_7 = __Pyx_PyObject_IsTrue(__pyx_t_2); if (unlikely(__pyx_t_7 < 0)) __PYX_ERR(0, 898, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  if (__pyx_t_7) {
  } else {
    __pyx_t_4 = __pyx_t_7;
    goto __pyx_L5_bool_binop_done;
  }
  __pyx_t_2 = __Pyx_PyFloat_EqObjC(__pyx_v_Q3, __pyx_float_0_0, 0.0, 0, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 898, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_7 = __Pyx_PyObject_IsTrue(__pyx_t_2); if (unlikely(__pyx_t_7 < 0)) __PYX_ERR(0, 898, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __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_1 = __Pyx_PyFloat_TrueDivideObjC(__pyx_t_2, __pyx_float_3_0, 3.0, 0, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 899, __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_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_1);
    PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_1);
    __Pyx_GIVEREF(__pyx_t_2);
    PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_t_2);
    __pyx_t_1 = 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);
    PyList_SET_ITEM(__pyx_t_2, 0, __pyx_v_x);
    __Pyx_INCREF(__pyx_v_x);
    __Pyx_GIVEREF(__pyx_v_x);
    PyList_SET_ITEM(__pyx_t_2, 1, __pyx_v_x);
    __Pyx_INCREF(__pyx_v_x);
    __Pyx_GIVEREF(__pyx_v_x);
    PyList_SET_ITEM(__pyx_t_2, 2, __pyx_v_x);
    __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_6, __pyx_n_s_sqrt); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 903, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __pyx_t_10 = NULL;
    if (CYTHON_UNPACK_METHODS && unlikely(PyMethod_Check(__pyx_t_6))) {
      __pyx_t_10 = PyMethod_GET_SELF(__pyx_t_6);
      if (likely(__pyx_t_10)) {
        PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_6);
        __Pyx_INCREF(__pyx_t_10);
        __Pyx_INCREF(function);
        __Pyx_DECREF_SET(__pyx_t_6, function);
      }
    }
    __pyx_t_1 = (__pyx_t_10) ? __Pyx_PyObject_Call2Args(__pyx_t_6, __pyx_t_10, __pyx_v_Q3) : __Pyx_PyObject_CallOneArg(__pyx_t_6, __pyx_v_Q3);
    __Pyx_XDECREF(__pyx_t_10); __pyx_t_10 = 0;
    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_6 = __Pyx_PyNumber_Divide(__pyx_v_R, __pyx_t_1); 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_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_6, 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_1 = __pyx_t_11;
      __pyx_t_11 = 0;
    } else {
      __Pyx_INCREF(__pyx_t_6);
      __pyx_t_1 = __pyx_t_6;
    }
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __Pyx_INCREF(__pyx_t_1);
    __pyx_t_6 = __pyx_t_1;
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 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_6, 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_1 = __pyx_t_10;
      __pyx_t_10 = 0;
    } else {
      __Pyx_INCREF(__pyx_t_6);
      __pyx_t_1 = __pyx_t_6;
    }
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __pyx_t_6 = NULL;
    if (CYTHON_UNPACK_METHODS && 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_2 = (__pyx_t_6) ? __Pyx_PyObject_Call2Args(__pyx_t_3, __pyx_t_6, __pyx_t_1) : __Pyx_PyObject_CallOneArg(__pyx_t_3, __pyx_t_1);
    __Pyx_XDECREF(__pyx_t_6); __pyx_t_6 = 0;
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 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_1 = NULL;
    if (CYTHON_UNPACK_METHODS && 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_2 = (__pyx_t_1) ? __Pyx_PyObject_Call2Args(__pyx_t_3, __pyx_t_1, __pyx_v_Q) : __Pyx_PyObject_CallOneArg(__pyx_t_3, __pyx_v_Q);
    __Pyx_XDECREF(__pyx_t_1); __pyx_t_1 = 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_1 = __Pyx_PyFloat_TrueDivideObjC(__pyx_v_theta, __pyx_float_3_0, 3.0, 0, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 906, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_6 = NULL;
    if (CYTHON_UNPACK_METHODS && 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_3 = (__pyx_t_6) ? __Pyx_PyObject_Call2Args(__pyx_t_2, __pyx_t_6, __pyx_t_1) : __Pyx_PyObject_CallOneArg(__pyx_t_2, __pyx_t_1);
    __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, 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_1, __pyx_n_s_pi); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 907, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_6 = PyNumber_Multiply(__pyx_float_2_0, __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 = PyNumber_Add(__pyx_v_theta, __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 = __Pyx_PyFloat_TrueDivideObjC(__pyx_t_1, __pyx_float_3_0, 3.0, 0, 0); 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 = NULL;
    if (CYTHON_UNPACK_METHODS && 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_3 = (__pyx_t_1) ? __Pyx_PyObject_Call2Args(__pyx_t_2, __pyx_t_1, __pyx_t_6) : __Pyx_PyObject_CallOneArg(__pyx_t_2, __pyx_t_6);
    __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, 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_6, __pyx_n_s_pi); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 908, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __pyx_t_1 = PyNumber_Multiply(__pyx_float_4_0, __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 = PyNumber_Add(__pyx_v_theta, __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 = __Pyx_PyFloat_TrueDivideObjC(__pyx_t_6, __pyx_float_3_0, 3.0, 0, 0); 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 = NULL;
    if (CYTHON_UNPACK_METHODS && 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_3 = (__pyx_t_6) ? __Pyx_PyObject_Call2Args(__pyx_t_2, __pyx_t_6, __pyx_t_1) : __Pyx_PyObject_CallOneArg(__pyx_t_2, __pyx_t_1);
    __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, 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);
    PyList_SET_ITEM(__pyx_t_2, 0, __pyx_v_x0);
    __Pyx_INCREF(__pyx_v_x1);
    __Pyx_GIVEREF(__pyx_v_x1);
    PyList_SET_ITEM(__pyx_t_2, 1, __pyx_v_x1);
    __Pyx_INCREF(__pyx_v_x2);
    __Pyx_GIVEREF(__pyx_v_x2);
    PyList_SET_ITEM(__pyx_t_2, 2, __pyx_v_x2);
    __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 (likely(__pyx_t_3 != Py_None)) {
      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_1 = PyList_GET_ITEM(sequence, 1); 
      __pyx_t_6 = PyList_GET_ITEM(sequence, 2); 
      __Pyx_INCREF(__pyx_t_2);
      __Pyx_INCREF(__pyx_t_1);
      __Pyx_INCREF(__pyx_t_6);
      #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_1 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 909, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __pyx_t_6 = PySequence_ITEM(sequence, 2); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 909, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_6);
      #endif
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    } else {
      __Pyx_RaiseNoneNotIterableError(); __PYX_ERR(0, 909, __pyx_L1_error)
    }
    __Pyx_DECREF_SET(__pyx_v_x0, __pyx_t_2);
    __pyx_t_2 = 0;
    __Pyx_DECREF_SET(__pyx_v_x1, __pyx_t_1);
    __pyx_t_1 = 0;
    __Pyx_DECREF_SET(__pyx_v_x2, __pyx_t_6);
    __pyx_t_6 = 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_6, __pyx_n_s_epsilon); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 911, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __pyx_t_1 = PyObject_RichCompare(__pyx_t_3, __pyx_t_6, Py_LT); __Pyx_XGOTREF(__pyx_t_1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 911, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __pyx_t_7 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely(__pyx_t_7 < 0)) __PYX_ERR(0, 911, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    if (__pyx_t_7) {
    } else {
      __pyx_t_4 = __pyx_t_7;
      goto __pyx_L8_bool_binop_done;
    }
    __pyx_t_1 = PyNumber_Subtract(__pyx_v_x2, __pyx_v_x1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 911, __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, 911, __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, 911, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 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_6 = PyNumber_Add(__pyx_t_3, __pyx_v_x2); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 912, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_6);
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __pyx_t_3 = __Pyx_PyFloat_TrueDivideObjC(__pyx_t_6, __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_6); __pyx_t_6 = 0;
      __Pyx_GetModuleGlobalName(__pyx_t_6, __pyx_n_s_epsilonDigits); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 912, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_6);
      __pyx_t_1 = PyTuple_New(2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 912, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __Pyx_GIVEREF(__pyx_t_3);
      PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_t_3);
      __Pyx_GIVEREF(__pyx_t_6);
      PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_t_6);
      __pyx_t_3 = 0;
      __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, 912, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_6);
      __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
      __Pyx_INCREF(__pyx_t_6);
      __Pyx_DECREF_SET(__pyx_v_x0, __pyx_t_6);
      __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":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_6 = PyNumber_Subtract(__pyx_v_x1, __pyx_v_x0); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 913, __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, 913, __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, 913, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 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_1 = __Pyx_PyFloat_TrueDivideObjC(__pyx_t_3, __pyx_float_2_0, 2.0, 0, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 914, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __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_6 = PyTuple_New(2); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 914, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_6);
      __Pyx_GIVEREF(__pyx_t_1);
      PyTuple_SET_ITEM(__pyx_t_6, 0, __pyx_t_1);
      __Pyx_GIVEREF(__pyx_t_3);
      PyTuple_SET_ITEM(__pyx_t_6, 1, __pyx_t_3);
      __pyx_t_1 = 0;
      __pyx_t_3 = 0;
      __pyx_t_3 = __Pyx_PyObject_Call(__pyx_builtin_round, __pyx_t_6, NULL); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 914, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
      __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 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_6 = PyTuple_New(2); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 915, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_6);
      __Pyx_INCREF(__pyx_v_x2);
      __Pyx_GIVEREF(__pyx_v_x2);
      PyTuple_SET_ITEM(__pyx_t_6, 0, __pyx_v_x2);
      __Pyx_GIVEREF(__pyx_t_3);
      PyTuple_SET_ITEM(__pyx_t_6, 1, __pyx_t_3);
      __pyx_t_3 = 0;
      __pyx_t_3 = __Pyx_PyObject_Call(__pyx_builtin_round, __pyx_t_6, NULL); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 915, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_3);
      __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 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_6, __pyx_n_s_epsilon); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 916, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __pyx_t_1 = PyObject_RichCompare(__pyx_t_3, __pyx_t_6, Py_LT); __Pyx_XGOTREF(__pyx_t_1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 916, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __pyx_t_4 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely(__pyx_t_4 < 0)) __PYX_ERR(0, 916, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 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_1, __pyx_n_s_epsilonDigits); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 917, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __pyx_t_6 = PyTuple_New(2); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 917, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_6);
      __Pyx_INCREF(__pyx_v_x0);
      __Pyx_GIVEREF(__pyx_v_x0);
      PyTuple_SET_ITEM(__pyx_t_6, 0, __pyx_v_x0);
      __Pyx_GIVEREF(__pyx_t_1);
      PyTuple_SET_ITEM(__pyx_t_6, 1, __pyx_t_1);
      __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, 917, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
      __Pyx_DECREF_SET(__pyx_v_x0, __pyx_t_1);
      __pyx_t_1 = 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_1 = PyNumber_Add(__pyx_v_x1, __pyx_v_x2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 918, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __pyx_t_6 = __Pyx_PyFloat_TrueDivideObjC(__pyx_t_1, __pyx_float_2_0, 2.0, 0, 0); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 918, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_6);
      __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, 918, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __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_6);
      PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_6);
      __Pyx_GIVEREF(__pyx_t_1);
      PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_t_1);
      __pyx_t_6 = 0;
      __pyx_t_1 = 0;
      __pyx_t_1 = __Pyx_PyObject_Call(__pyx_builtin_round, __pyx_t_3, NULL); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 918, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __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":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_1, __pyx_n_s_epsilonDigits); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 920, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __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);
      PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_v_x0);
      __Pyx_GIVEREF(__pyx_t_1);
      PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_t_1);
      __pyx_t_1 = 0;
      __pyx_t_1 = __Pyx_PyObject_Call(__pyx_builtin_round, __pyx_t_3, NULL); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 920, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __Pyx_DECREF_SET(__pyx_v_x0, __pyx_t_1);
      __pyx_t_1 = 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_1, __pyx_n_s_epsilonDigits); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 921, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __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);
      PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_v_x1);
      __Pyx_GIVEREF(__pyx_t_1);
      PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_t_1);
      __pyx_t_1 = 0;
      __pyx_t_1 = __Pyx_PyObject_Call(__pyx_builtin_round, __pyx_t_3, NULL); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 921, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __Pyx_DECREF_SET(__pyx_v_x1, __pyx_t_1);
      __pyx_t_1 = 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_1, __pyx_n_s_epsilonDigits); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 922, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __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);
      PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_v_x2);
      __Pyx_GIVEREF(__pyx_t_1);
      PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_t_1);
      __pyx_t_1 = 0;
      __pyx_t_1 = __Pyx_PyObject_Call(__pyx_builtin_round, __pyx_t_3, NULL); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 922, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __Pyx_DECREF_SET(__pyx_v_x2, __pyx_t_1);
      __pyx_t_1 = 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_1 = PyList_New(3); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 923, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_INCREF(__pyx_v_x0);
    __Pyx_GIVEREF(__pyx_v_x0);
    PyList_SET_ITEM(__pyx_t_1, 0, __pyx_v_x0);
    __Pyx_INCREF(__pyx_v_x1);
    __Pyx_GIVEREF(__pyx_v_x1);
    PyList_SET_ITEM(__pyx_t_1, 1, __pyx_v_x1);
    __Pyx_INCREF(__pyx_v_x2);
    __Pyx_GIVEREF(__pyx_v_x2);
    PyList_SET_ITEM(__pyx_t_1, 2, __pyx_v_x2);
    __pyx_r = __pyx_t_1;
    __pyx_t_1 = 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_6 = NULL;
    if (CYTHON_UNPACK_METHODS && 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_1 = (__pyx_t_6) ? __Pyx_PyObject_Call2Args(__pyx_t_3, __pyx_t_6, __pyx_v_R2_Q3) : __Pyx_PyObject_CallOneArg(__pyx_t_3, __pyx_v_R2_Q3);
    __Pyx_XDECREF(__pyx_t_6); __pyx_t_6 = 0;
    if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 925, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __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_6 = PyNumber_Add(__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_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_1 = __Pyx_PyNumber_Power2(__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_v_x = __pyx_t_1;
    __pyx_t_1 = 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_1 = __Pyx_PyNumber_Divide(__pyx_v_Q, __pyx_v_x); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 926, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_3 = PyNumber_Add(__pyx_v_x, __pyx_t_1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 926, __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":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_1 = PyNumber_Subtract(__pyx_v_x, __pyx_t_3); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 929, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __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_6 = PyTuple_New(2); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 929, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_6);
    __Pyx_GIVEREF(__pyx_t_1);
    PyTuple_SET_ITEM(__pyx_t_6, 0, __pyx_t_1);
    __Pyx_GIVEREF(__pyx_t_3);
    PyTuple_SET_ITEM(__pyx_t_6, 1, __pyx_t_3);
    __pyx_t_1 = 0;
    __pyx_t_3 = 0;
    __pyx_t_3 = __Pyx_PyObject_Call(__pyx_builtin_round, __pyx_t_6, NULL); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 929, __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":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);
    PyList_SET_ITEM(__pyx_t_3, 0, __pyx_v_x);
    __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, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __pyx_doc_9fontTools_4misc_11bezierTools_50calcQuadraticParameters[] = "calcQuadraticParameters(pt1, pt2, pt3)";
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_51calcQuadraticParameters = {"calcQuadraticParameters", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_51calcQuadraticParameters, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_50calcQuadraticParameters};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_51calcQuadraticParameters(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  PyObject *__pyx_v_pt1 = 0;
  PyObject *__pyx_v_pt2 = 0;
  PyObject *__pyx_v_pt3 = 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);
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_pt1,&__pyx_n_s_pt2,&__pyx_n_s_pt3,0};
    PyObject* values[3] = {0,0,0};
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt1)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt2)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("calcQuadraticParameters", 1, 3, 3, 1); __PYX_ERR(0, 938, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt3)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("calcQuadraticParameters", 1, 3, 3, 2); __PYX_ERR(0, 938, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "calcQuadraticParameters") < 0)) __PYX_ERR(0, 938, __pyx_L3_error)
      }
    } else if (PyTuple_GET_SIZE(__pyx_args) != 3) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
      values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
      values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
    }
    __pyx_v_pt1 = values[0];
    __pyx_v_pt2 = values[1];
    __pyx_v_pt3 = values[2];
  }
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("calcQuadraticParameters", 1, 3, 3, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 938, __pyx_L3_error)
  __pyx_L3_error:;
  __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 */
  __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", 0);

  /* "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 = Py_TYPE(__pyx_t_3)->tp_iternext;
    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 = Py_TYPE(__pyx_t_3)->tp_iternext;
    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 = Py_TYPE(__pyx_t_3)->tp_iternext;
    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);
  PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_v_ax);
  __Pyx_INCREF(__pyx_v_ay);
  __Pyx_GIVEREF(__pyx_v_ay);
  PyTuple_SET_ITEM(__pyx_t_2, 1, __pyx_v_ay);
  __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);
  PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_v_bx);
  __Pyx_INCREF(__pyx_v_by);
  __Pyx_GIVEREF(__pyx_v_by);
  PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_v_by);
  __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);
  PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_v_cx);
  __Pyx_INCREF(__pyx_v_cy);
  __Pyx_GIVEREF(__pyx_v_cy);
  PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_v_cy);
  __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);
  PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_t_2);
  __Pyx_GIVEREF(__pyx_t_1);
  PyTuple_SET_ITEM(__pyx_t_5, 1, __pyx_t_1);
  __Pyx_GIVEREF(__pyx_t_3);
  PyTuple_SET_ITEM(__pyx_t_5, 2, __pyx_t_3);
  __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, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __pyx_doc_9fontTools_4misc_11bezierTools_52calcCubicParameters[] = "calcCubicParameters(pt1, pt2, pt3, pt4)";
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_53calcCubicParameters = {"calcCubicParameters", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_53calcCubicParameters, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_52calcCubicParameters};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_53calcCubicParameters(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  PyObject *__pyx_v_pt1 = 0;
  PyObject *__pyx_v_pt2 = 0;
  PyObject *__pyx_v_pt3 = 0;
  PyObject *__pyx_v_pt4 = 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);
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_pt1,&__pyx_n_s_pt2,&__pyx_n_s_pt3,&__pyx_n_s_pt4,0};
    PyObject* values[4] = {0,0,0,0};
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        case  4: values[3] = PyTuple_GET_ITEM(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt1)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt2)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("calcCubicParameters", 1, 4, 4, 1); __PYX_ERR(0, 949, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt3)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("calcCubicParameters", 1, 4, 4, 2); __PYX_ERR(0, 949, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  3:
        if (likely((values[3] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt4)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("calcCubicParameters", 1, 4, 4, 3); __PYX_ERR(0, 949, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "calcCubicParameters") < 0)) __PYX_ERR(0, 949, __pyx_L3_error)
      }
    } else if (PyTuple_GET_SIZE(__pyx_args) != 4) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
      values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
      values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
      values[3] = PyTuple_GET_ITEM(__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_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("calcCubicParameters", 1, 4, 4, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 949, __pyx_L3_error)
  __pyx_L3_error:;
  __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 */
  __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", 0);

  /* "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 = Py_TYPE(__pyx_t_3)->tp_iternext;
    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 = Py_TYPE(__pyx_t_3)->tp_iternext;
    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 = Py_TYPE(__pyx_t_3)->tp_iternext;
    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 = Py_TYPE(__pyx_t_3)->tp_iternext;
    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);
  PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_v_ax);
  __Pyx_INCREF(__pyx_v_ay);
  __Pyx_GIVEREF(__pyx_v_ay);
  PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_v_ay);
  __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);
  PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_v_bx);
  __Pyx_INCREF(__pyx_v_by);
  __Pyx_GIVEREF(__pyx_v_by);
  PyTuple_SET_ITEM(__pyx_t_2, 1, __pyx_v_by);
  __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);
  PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_v_cx);
  __Pyx_INCREF(__pyx_v_cy);
  __Pyx_GIVEREF(__pyx_v_cy);
  PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_v_cy);
  __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);
  PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_v_dx);
  __Pyx_INCREF(__pyx_v_dy);
  __Pyx_GIVEREF(__pyx_v_dy);
  PyTuple_SET_ITEM(__pyx_t_5, 1, __pyx_v_dy);
  __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);
  PyTuple_SET_ITEM(__pyx_t_6, 0, __pyx_t_1);
  __Pyx_GIVEREF(__pyx_t_2);
  PyTuple_SET_ITEM(__pyx_t_6, 1, __pyx_t_2);
  __Pyx_GIVEREF(__pyx_t_3);
  PyTuple_SET_ITEM(__pyx_t_6, 2, __pyx_t_3);
  __Pyx_GIVEREF(__pyx_t_5);
  PyTuple_SET_ITEM(__pyx_t_6, 3, __pyx_t_5);
  __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":974
 *     c=cython.complex,
 * )
 * def calcCubicParametersC(pt1, pt2, pt3, pt4):             # <<<<<<<<<<<<<<
 *     c = (pt2 - pt1) * 3.0
 *     b = (pt3 - pt2) * 3.0 - c
 */

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", 0);

  /* "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);
  PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_t_1);
  __Pyx_GIVEREF(__pyx_t_2);
  PyTuple_SET_ITEM(__pyx_t_5, 1, __pyx_t_2);
  __Pyx_GIVEREF(__pyx_t_3);
  PyTuple_SET_ITEM(__pyx_t_5, 2, __pyx_t_3);
  __Pyx_GIVEREF(__pyx_t_4);
  PyTuple_SET_ITEM(__pyx_t_5, 3, __pyx_t_4);
  __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":974
 *     c=cython.complex,
 * )
 * def calcCubicParametersC(pt1, pt2, pt3, pt4):             # <<<<<<<<<<<<<<
 *     c = (pt2 - pt1) * 3.0
 *     b = (pt3 - pt2) * 3.0 - c
 */

  /* 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, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __pyx_doc_9fontTools_4misc_11bezierTools_54calcQuadraticPoints[] = "calcQuadraticPoints(a, b, c)";
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_55calcQuadraticPoints = {"calcQuadraticPoints", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_55calcQuadraticPoints, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_54calcQuadraticPoints};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_55calcQuadraticPoints(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  PyObject *__pyx_v_a = 0;
  PyObject *__pyx_v_b = 0;
  PyObject *__pyx_v_c = 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);
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_a,&__pyx_n_s_b,&__pyx_n_s_c,0};
    PyObject* values[3] = {0,0,0};
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_a)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_b)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("calcQuadraticPoints", 1, 3, 3, 1); __PYX_ERR(0, 981, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_c)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("calcQuadraticPoints", 1, 3, 3, 2); __PYX_ERR(0, 981, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "calcQuadraticPoints") < 0)) __PYX_ERR(0, 981, __pyx_L3_error)
      }
    } else if (PyTuple_GET_SIZE(__pyx_args) != 3) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
      values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
      values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
    }
    __pyx_v_a = values[0];
    __pyx_v_b = values[1];
    __pyx_v_c = values[2];
  }
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("calcQuadraticPoints", 1, 3, 3, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 981, __pyx_L3_error)
  __pyx_L3_error:;
  __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 */
  __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", 0);

  /* "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 = Py_TYPE(__pyx_t_3)->tp_iternext;
    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 = Py_TYPE(__pyx_t_3)->tp_iternext;
    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 = Py_TYPE(__pyx_t_3)->tp_iternext;
    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);
  PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_v_x1);
  __Pyx_INCREF(__pyx_v_y1);
  __Pyx_GIVEREF(__pyx_v_y1);
  PyTuple_SET_ITEM(__pyx_t_2, 1, __pyx_v_y1);
  __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);
  PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_v_x2);
  __Pyx_INCREF(__pyx_v_y2);
  __Pyx_GIVEREF(__pyx_v_y2);
  PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_v_y2);
  __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);
  PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_v_x3);
  __Pyx_INCREF(__pyx_v_y3);
  __Pyx_GIVEREF(__pyx_v_y3);
  PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_v_y3);
  __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);
  PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_t_2);
  __Pyx_GIVEREF(__pyx_t_1);
  PyTuple_SET_ITEM(__pyx_t_5, 1, __pyx_t_1);
  __Pyx_GIVEREF(__pyx_t_3);
  PyTuple_SET_ITEM(__pyx_t_5, 2, __pyx_t_3);
  __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, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __pyx_doc_9fontTools_4misc_11bezierTools_56calcCubicPoints[] = "calcCubicPoints(a, b, c, d)";
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_57calcCubicPoints = {"calcCubicPoints", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_57calcCubicPoints, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_56calcCubicPoints};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_57calcCubicPoints(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  PyObject *__pyx_v_a = 0;
  PyObject *__pyx_v_b = 0;
  PyObject *__pyx_v_c = 0;
  PyObject *__pyx_v_d = 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);
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_a,&__pyx_n_s_b,&__pyx_n_s_c,&__pyx_n_s_d,0};
    PyObject* values[4] = {0,0,0,0};
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        case  4: values[3] = PyTuple_GET_ITEM(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_a)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_b)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("calcCubicPoints", 1, 4, 4, 1); __PYX_ERR(0, 994, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_c)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("calcCubicPoints", 1, 4, 4, 2); __PYX_ERR(0, 994, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  3:
        if (likely((values[3] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_d)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("calcCubicPoints", 1, 4, 4, 3); __PYX_ERR(0, 994, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "calcCubicPoints") < 0)) __PYX_ERR(0, 994, __pyx_L3_error)
      }
    } else if (PyTuple_GET_SIZE(__pyx_args) != 4) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
      values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
      values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
      values[3] = PyTuple_GET_ITEM(__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_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("calcCubicPoints", 1, 4, 4, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 994, __pyx_L3_error)
  __pyx_L3_error:;
  __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 */
  __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", 0);

  /* "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 = Py_TYPE(__pyx_t_3)->tp_iternext;
    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 = Py_TYPE(__pyx_t_3)->tp_iternext;
    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 = Py_TYPE(__pyx_t_3)->tp_iternext;
    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 = Py_TYPE(__pyx_t_3)->tp_iternext;
    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);
  PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_v_x1);
  __Pyx_INCREF(__pyx_v_y1);
  __Pyx_GIVEREF(__pyx_v_y1);
  PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_v_y1);
  __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);
  PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_v_x2);
  __Pyx_INCREF(__pyx_v_y2);
  __Pyx_GIVEREF(__pyx_v_y2);
  PyTuple_SET_ITEM(__pyx_t_2, 1, __pyx_v_y2);
  __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);
  PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_v_x3);
  __Pyx_INCREF(__pyx_v_y3);
  __Pyx_GIVEREF(__pyx_v_y3);
  PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_v_y3);
  __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);
  PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_v_x4);
  __Pyx_INCREF(__pyx_v_y4);
  __Pyx_GIVEREF(__pyx_v_y4);
  PyTuple_SET_ITEM(__pyx_t_5, 1, __pyx_v_y4);
  __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);
  PyTuple_SET_ITEM(__pyx_t_6, 0, __pyx_t_1);
  __Pyx_GIVEREF(__pyx_t_2);
  PyTuple_SET_ITEM(__pyx_t_6, 1, __pyx_t_2);
  __Pyx_GIVEREF(__pyx_t_3);
  PyTuple_SET_ITEM(__pyx_t_6, 2, __pyx_t_3);
  __Pyx_GIVEREF(__pyx_t_5);
  PyTuple_SET_ITEM(__pyx_t_6, 3, __pyx_t_5);
  __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":1021
 *     p4=cython.complex,
 * )
 * def calcCubicPointsC(a, b, c, d):             # <<<<<<<<<<<<<<
 *     p2 = c * (1 / 3) + d
 *     p3 = (b + c) * (1 / 3) + p2
 */

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", 0);

  /* "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);
  PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_t_1);
  __Pyx_GIVEREF(__pyx_t_2);
  PyTuple_SET_ITEM(__pyx_t_5, 1, __pyx_t_2);
  __Pyx_GIVEREF(__pyx_t_3);
  PyTuple_SET_ITEM(__pyx_t_5, 2, __pyx_t_3);
  __Pyx_GIVEREF(__pyx_t_4);
  PyTuple_SET_ITEM(__pyx_t_5, 3, __pyx_t_4);
  __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":1021
 *     p4=cython.complex,
 * )
 * def calcCubicPointsC(a, b, c, d):             # <<<<<<<<<<<<<<
 *     p2 = c * (1 / 3) + d
 *     p3 = (b + c) * (1 / 3) + p2
 */

  /* 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, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __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*)(PyCFunctionWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_59linePointAtT, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_58linePointAtT};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_59linePointAtT(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  PyObject *__pyx_v_pt1 = 0;
  PyObject *__pyx_v_pt2 = 0;
  PyObject *__pyx_v_t = 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);
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_pt1,&__pyx_n_s_pt2,&__pyx_n_s_t,0};
    PyObject* values[3] = {0,0,0};
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt1)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt2)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("linePointAtT", 1, 3, 3, 1); __PYX_ERR(0, 1033, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_t)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("linePointAtT", 1, 3, 3, 2); __PYX_ERR(0, 1033, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "linePointAtT") < 0)) __PYX_ERR(0, 1033, __pyx_L3_error)
      }
    } else if (PyTuple_GET_SIZE(__pyx_args) != 3) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
      values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
      values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
    }
    __pyx_v_pt1 = values[0];
    __pyx_v_pt2 = values[1];
    __pyx_v_t = values[2];
  }
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("linePointAtT", 1, 3, 3, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 1033, __pyx_L3_error)
  __pyx_L3_error:;
  __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 */
  __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", 0);

  /* "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);
  PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_t_2);
  __Pyx_GIVEREF(__pyx_t_3);
  PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_t_3);
  __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, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __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*)(PyCFunctionWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_61quadraticPointAtT, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_60quadraticPointAtT};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_61quadraticPointAtT(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  PyObject *__pyx_v_pt1 = 0;
  PyObject *__pyx_v_pt2 = 0;
  PyObject *__pyx_v_pt3 = 0;
  PyObject *__pyx_v_t = 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);
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_pt1,&__pyx_n_s_pt2,&__pyx_n_s_pt3,&__pyx_n_s_t,0};
    PyObject* values[4] = {0,0,0,0};
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        case  4: values[3] = PyTuple_GET_ITEM(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt1)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt2)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("quadraticPointAtT", 1, 4, 4, 1); __PYX_ERR(0, 1046, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt3)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("quadraticPointAtT", 1, 4, 4, 2); __PYX_ERR(0, 1046, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  3:
        if (likely((values[3] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_t)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("quadraticPointAtT", 1, 4, 4, 3); __PYX_ERR(0, 1046, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "quadraticPointAtT") < 0)) __PYX_ERR(0, 1046, __pyx_L3_error)
      }
    } else if (PyTuple_GET_SIZE(__pyx_args) != 4) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
      values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
      values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
      values[3] = PyTuple_GET_ITEM(__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_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("quadraticPointAtT", 1, 4, 4, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 1046, __pyx_L3_error)
  __pyx_L3_error:;
  __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 */
  __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", 0);

  /* "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 = PyNumber_Multiply(__pyx_int_2, __pyx_t_2); 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 = PyNumber_Multiply(__pyx_int_2, __pyx_t_2); 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);
  PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_v_x);
  __Pyx_INCREF(__pyx_v_y);
  __Pyx_GIVEREF(__pyx_v_y);
  PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_v_y);
  __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, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __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*)(PyCFunctionWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_63cubicPointAtT, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_62cubicPointAtT};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_63cubicPointAtT(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  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;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("cubicPointAtT (wrapper)", 0);
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_pt1,&__pyx_n_s_pt2,&__pyx_n_s_pt3,&__pyx_n_s_pt4,&__pyx_n_s_t,0};
    PyObject* values[5] = {0,0,0,0,0};
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        case  5: values[4] = PyTuple_GET_ITEM(__pyx_args, 4);
        CYTHON_FALLTHROUGH;
        case  4: values[3] = PyTuple_GET_ITEM(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt1)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt2)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("cubicPointAtT", 1, 5, 5, 1); __PYX_ERR(0, 1061, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt3)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("cubicPointAtT", 1, 5, 5, 2); __PYX_ERR(0, 1061, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  3:
        if (likely((values[3] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt4)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("cubicPointAtT", 1, 5, 5, 3); __PYX_ERR(0, 1061, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  4:
        if (likely((values[4] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_t)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("cubicPointAtT", 1, 5, 5, 4); __PYX_ERR(0, 1061, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "cubicPointAtT") < 0)) __PYX_ERR(0, 1061, __pyx_L3_error)
      }
    } else if (PyTuple_GET_SIZE(__pyx_args) != 5) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
      values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
      values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
      values[3] = PyTuple_GET_ITEM(__pyx_args, 3);
      values[4] = PyTuple_GET_ITEM(__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_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("cubicPointAtT", 1, 5, 5, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 1061, __pyx_L3_error)
  __pyx_L3_error:;
  __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 */
  __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", 0);

  /* "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 = PyNumber_Multiply(__pyx_int_3, __pyx_t_2); 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 = PyNumber_Multiply(__pyx_int_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_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);
  PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_v_x);
  __Pyx_INCREF(__pyx_v_y);
  __Pyx_GIVEREF(__pyx_v_y);
  PyTuple_SET_ITEM(__pyx_t_2, 1, __pyx_v_y);
  __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":1096
 * )
 * @cython.locals(t2=cython.double, _1_t=cython.double, _1_t_2=cython.double)
 * def cubicPointAtTC(pt1, pt2, pt3, pt4, t):             # <<<<<<<<<<<<<<
 *     """Finds the point at time `t` on a cubic curve.
 * 
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_65cubicPointAtTC(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __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*)(PyCFunctionWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_65cubicPointAtTC, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_64cubicPointAtTC};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_65cubicPointAtTC(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  __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;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("cubicPointAtTC (wrapper)", 0);
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_pt1,&__pyx_n_s_pt2,&__pyx_n_s_pt3,&__pyx_n_s_pt4,&__pyx_n_s_t,0};
    PyObject* values[5] = {0,0,0,0,0};
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        case  5: values[4] = PyTuple_GET_ITEM(__pyx_args, 4);
        CYTHON_FALLTHROUGH;
        case  4: values[3] = PyTuple_GET_ITEM(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt1)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt2)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("cubicPointAtTC", 1, 5, 5, 1); __PYX_ERR(0, 1096, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt3)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("cubicPointAtTC", 1, 5, 5, 2); __PYX_ERR(0, 1096, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  3:
        if (likely((values[3] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt4)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("cubicPointAtTC", 1, 5, 5, 3); __PYX_ERR(0, 1096, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  4:
        if (likely((values[4] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_t)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("cubicPointAtTC", 1, 5, 5, 4); __PYX_ERR(0, 1096, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "cubicPointAtTC") < 0)) __PYX_ERR(0, 1096, __pyx_L3_error)
      }
    } else if (PyTuple_GET_SIZE(__pyx_args) != 5) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
      values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
      values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
      values[3] = PyTuple_GET_ITEM(__pyx_args, 3);
      values[4] = PyTuple_GET_ITEM(__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_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("cubicPointAtTC", 1, 5, 5, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 1096, __pyx_L3_error)
  __pyx_L3_error:;
  __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 */
  __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", 0);

  /* "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":1096
 * )
 * @cython.locals(t2=cython.double, _1_t=cython.double, _1_t_2=cython.double)
 * def cubicPointAtTC(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_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, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __pyx_doc_9fontTools_4misc_11bezierTools_66segmentPointAtT[] = "segmentPointAtT(seg, t)";
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_67segmentPointAtT = {"segmentPointAtT", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_67segmentPointAtT, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_66segmentPointAtT};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_67segmentPointAtT(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  PyObject *__pyx_v_seg = 0;
  PyObject *__pyx_v_t = 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);
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_seg,&__pyx_n_s_t,0};
    PyObject* values[2] = {0,0};
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_seg)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_t)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("segmentPointAtT", 1, 2, 2, 1); __PYX_ERR(0, 1112, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "segmentPointAtT") < 0)) __PYX_ERR(0, 1112, __pyx_L3_error)
      }
    } else if (PyTuple_GET_SIZE(__pyx_args) != 2) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
      values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
    }
    __pyx_v_seg = values[0];
    __pyx_v_t = values[1];
  }
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("segmentPointAtT", 1, 2, 2, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 1112, __pyx_L3_error)
  __pyx_L3_error:;
  __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 */
  __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", 0);

  /* "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) != 0);
  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);
    PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_v_t);
    __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) != 0);
  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);
    PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_v_t);
    __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) != 0);
  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);
    PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_v_t);
    __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, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __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*)(PyCFunctionWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_69_line_t_of_pt, METH_VARARGS|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, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  PyObject *__pyx_v_s = 0;
  PyObject *__pyx_v_e = 0;
  PyObject *__pyx_v_pt = 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);
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_s,&__pyx_n_s_e,&__pyx_n_s_pt,0};
    PyObject* values[3] = {0,0,0};
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_s)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_e)) != 0)) kw_args--;
        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_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_pt)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("_line_t_of_pt", 1, 3, 3, 2); __PYX_ERR(0, 1127, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "_line_t_of_pt") < 0)) __PYX_ERR(0, 1127, __pyx_L3_error)
      }
    } else if (PyTuple_GET_SIZE(__pyx_args) != 3) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
      values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
      values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
    }
    __pyx_v_s = values[0];
    __pyx_v_e = values[1];
    __pyx_v_pt = values[2];
  }
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("_line_t_of_pt", 1, 3, 3, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 1127, __pyx_L3_error)
  __pyx_L3_error:;
  __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 */
  __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", 0);

  /* "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 = Py_TYPE(__pyx_t_3)->tp_iternext;
    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 = Py_TYPE(__pyx_t_3)->tp_iternext;
    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 = Py_TYPE(__pyx_t_3)->tp_iternext;
    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, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __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*)(PyCFunctionWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_71_both_points_are_on_same_side_of_origin, METH_VARARGS|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, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  PyObject *__pyx_v_a = 0;
  PyObject *__pyx_v_b = 0;
  PyObject *__pyx_v_origin = 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);
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_a,&__pyx_n_s_b,&__pyx_n_s_origin,0};
    PyObject* values[3] = {0,0,0};
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_a)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_b)) != 0)) kw_args--;
        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_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_origin)) != 0)) kw_args--;
        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)) {
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "_both_points_are_on_same_side_of_origin") < 0)) __PYX_ERR(0, 1141, __pyx_L3_error)
      }
    } else if (PyTuple_GET_SIZE(__pyx_args) != 3) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
      values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
      values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
    }
    __pyx_v_a = values[0];
    __pyx_v_b = values[1];
    __pyx_v_origin = values[2];
  }
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("_both_points_are_on_same_side_of_origin", 1, 3, 3, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 1141, __pyx_L3_error)
  __pyx_L3_error:;
  __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 */
  __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", 0);

  /* "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, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __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*)(PyCFunctionWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_73lineLineIntersections, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_72lineLineIntersections};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_73lineLineIntersections(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  PyObject *__pyx_v_s1 = 0;
  PyObject *__pyx_v_e1 = 0;
  PyObject *__pyx_v_s2 = 0;
  PyObject *__pyx_v_e2 = 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);
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_s1,&__pyx_n_s_e1,&__pyx_n_s_s2,&__pyx_n_s_e2,0};
    PyObject* values[4] = {0,0,0,0};
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        case  4: values[3] = PyTuple_GET_ITEM(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_s1)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_e1)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("lineLineIntersections", 1, 4, 4, 1); __PYX_ERR(0, 1147, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  2:
        if (likely((values[2] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_s2)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("lineLineIntersections", 1, 4, 4, 2); __PYX_ERR(0, 1147, __pyx_L3_error)
        }
        CYTHON_FALLTHROUGH;
        case  3:
        if (likely((values[3] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_e2)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("lineLineIntersections", 1, 4, 4, 3); __PYX_ERR(0, 1147, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "lineLineIntersections") < 0)) __PYX_ERR(0, 1147, __pyx_L3_error)
      }
    } else if (PyTuple_GET_SIZE(__pyx_args) != 4) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
      values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
      values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
      values[3] = PyTuple_GET_ITEM(__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_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("lineLineIntersections", 1, 4, 4, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 1147, __pyx_L3_error)
  __pyx_L3_error:;
  __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 */
  __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;
  PyObject *__pyx_t_7 = NULL;
  int __pyx_t_8;
  int __pyx_t_9;
  PyObject *__pyx_t_10 = NULL;
  PyObject *__pyx_t_11 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("lineLineIntersections", 0);

  /* "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 = Py_TYPE(__pyx_t_3)->tp_iternext;
    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 = Py_TYPE(__pyx_t_3)->tp_iternext;
    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 = Py_TYPE(__pyx_t_3)->tp_iternext;
    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 = Py_TYPE(__pyx_t_3)->tp_iternext;
    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 && 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;
    }
  }
  #if CYTHON_FAST_PYCALL
  if (PyFunction_Check(__pyx_t_3)) {
    PyObject *__pyx_temp[3] = {__pyx_t_2, __pyx_v_s2x, __pyx_v_e2x};
    __pyx_t_1 = __Pyx_PyFunction_FastCall(__pyx_t_3, __pyx_temp+1-__pyx_t_6, 2+__pyx_t_6); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1175, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_GOTREF(__pyx_t_1);
  } else
  #endif
  #if CYTHON_FAST_PYCCALL
  if (__Pyx_PyFastCFunction_Check(__pyx_t_3)) {
    PyObject *__pyx_temp[3] = {__pyx_t_2, __pyx_v_s2x, __pyx_v_e2x};
    __pyx_t_1 = __Pyx_PyCFunction_FastCall(__pyx_t_3, __pyx_temp+1-__pyx_t_6, 2+__pyx_t_6); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1175, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_GOTREF(__pyx_t_1);
  } else
  #endif
  {
    __pyx_t_7 = PyTuple_New(2+__pyx_t_6); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1175, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    if (__pyx_t_2) {
      __Pyx_GIVEREF(__pyx_t_2); PyTuple_SET_ITEM(__pyx_t_7, 0, __pyx_t_2); __pyx_t_2 = NULL;
    }
    __Pyx_INCREF(__pyx_v_s2x);
    __Pyx_GIVEREF(__pyx_v_s2x);
    PyTuple_SET_ITEM(__pyx_t_7, 0+__pyx_t_6, __pyx_v_s2x);
    __Pyx_INCREF(__pyx_v_e2x);
    __Pyx_GIVEREF(__pyx_v_e2x);
    PyTuple_SET_ITEM(__pyx_t_7, 1+__pyx_t_6, __pyx_v_e2x);
    __pyx_t_1 = __Pyx_PyObject_Call(__pyx_t_3, __pyx_t_7, NULL); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1175, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
  }
  __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, 1175, __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_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_7 = __Pyx_PyObject_GetAttrStr(__pyx_t_3, __pyx_n_s_isclose); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1175, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_7);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = NULL;
  __pyx_t_6 = 0;
  if (CYTHON_UNPACK_METHODS && unlikely(PyMethod_Check(__pyx_t_7))) {
    __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_7);
    if (likely(__pyx_t_3)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_7);
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_7, function);
      __pyx_t_6 = 1;
    }
  }
  #if CYTHON_FAST_PYCALL
  if (PyFunction_Check(__pyx_t_7)) {
    PyObject *__pyx_temp[3] = {__pyx_t_3, __pyx_v_s1x, __pyx_v_e1x};
    __pyx_t_1 = __Pyx_PyFunction_FastCall(__pyx_t_7, __pyx_temp+1-__pyx_t_6, 2+__pyx_t_6); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1175, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_GOTREF(__pyx_t_1);
  } else
  #endif
  #if CYTHON_FAST_PYCCALL
  if (__Pyx_PyFastCFunction_Check(__pyx_t_7)) {
    PyObject *__pyx_temp[3] = {__pyx_t_3, __pyx_v_s1x, __pyx_v_e1x};
    __pyx_t_1 = __Pyx_PyCFunction_FastCall(__pyx_t_7, __pyx_temp+1-__pyx_t_6, 2+__pyx_t_6); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1175, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_GOTREF(__pyx_t_1);
  } else
  #endif
  {
    __pyx_t_2 = PyTuple_New(2+__pyx_t_6); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1175, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    if (__pyx_t_3) {
      __Pyx_GIVEREF(__pyx_t_3); PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_t_3); __pyx_t_3 = NULL;
    }
    __Pyx_INCREF(__pyx_v_s1x);
    __Pyx_GIVEREF(__pyx_v_s1x);
    PyTuple_SET_ITEM(__pyx_t_2, 0+__pyx_t_6, __pyx_v_s1x);
    __Pyx_INCREF(__pyx_v_e1x);
    __Pyx_GIVEREF(__pyx_v_e1x);
    PyTuple_SET_ITEM(__pyx_t_2, 1+__pyx_t_6, __pyx_v_e1x);
    __pyx_t_1 = __Pyx_PyObject_Call(__pyx_t_7, __pyx_t_2, NULL); 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_DECREF(__pyx_t_7); __pyx_t_7 = 0;
  __pyx_t_8 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely(__pyx_t_8 < 0)) __PYX_ERR(0, 1175, __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_L12_bool_binop_done;
  }
  __Pyx_GetModuleGlobalName(__pyx_t_7, __pyx_n_s_math); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1175, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_7);
  __pyx_t_2 = __Pyx_PyObject_GetAttrStr(__pyx_t_7, __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_7); __pyx_t_7 = 0;
  __pyx_t_7 = NULL;
  __pyx_t_6 = 0;
  if (CYTHON_UNPACK_METHODS && unlikely(PyMethod_Check(__pyx_t_2))) {
    __pyx_t_7 = PyMethod_GET_SELF(__pyx_t_2);
    if (likely(__pyx_t_7)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_2);
      __Pyx_INCREF(__pyx_t_7);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_2, function);
      __pyx_t_6 = 1;
    }
  }
  #if CYTHON_FAST_PYCALL
  if (PyFunction_Check(__pyx_t_2)) {
    PyObject *__pyx_temp[3] = {__pyx_t_7, __pyx_v_s1x, __pyx_v_s2x};
    __pyx_t_1 = __Pyx_PyFunction_FastCall(__pyx_t_2, __pyx_temp+1-__pyx_t_6, 2+__pyx_t_6); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1175, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_7); __pyx_t_7 = 0;
    __Pyx_GOTREF(__pyx_t_1);
  } else
  #endif
  #if CYTHON_FAST_PYCCALL
  if (__Pyx_PyFastCFunction_Check(__pyx_t_2)) {
    PyObject *__pyx_temp[3] = {__pyx_t_7, __pyx_v_s1x, __pyx_v_s2x};
    __pyx_t_1 = __Pyx_PyCFunction_FastCall(__pyx_t_2, __pyx_temp+1-__pyx_t_6, 2+__pyx_t_6); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1175, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_7); __pyx_t_7 = 0;
    __Pyx_GOTREF(__pyx_t_1);
  } else
  #endif
  {
    __pyx_t_3 = PyTuple_New(2+__pyx_t_6); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1175, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    if (__pyx_t_7) {
      __Pyx_GIVEREF(__pyx_t_7); PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_7); __pyx_t_7 = NULL;
    }
    __Pyx_INCREF(__pyx_v_s1x);
    __Pyx_GIVEREF(__pyx_v_s1x);
    PyTuple_SET_ITEM(__pyx_t_3, 0+__pyx_t_6, __pyx_v_s1x);
    __Pyx_INCREF(__pyx_v_s2x);
    __Pyx_GIVEREF(__pyx_v_s2x);
    PyTuple_SET_ITEM(__pyx_t_3, 1+__pyx_t_6, __pyx_v_s2x);
    __pyx_t_1 = __Pyx_PyObject_Call(__pyx_t_2, __pyx_t_3, NULL); 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_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, 1175, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_9 = ((!__pyx_t_8) != 0);
  __pyx_t_5 = __pyx_t_9;
  __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_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 && 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;
    }
  }
  #if CYTHON_FAST_PYCALL
  if (PyFunction_Check(__pyx_t_3)) {
    PyObject *__pyx_temp[3] = {__pyx_t_2, __pyx_v_s2y, __pyx_v_e2y};
    __pyx_t_1 = __Pyx_PyFunction_FastCall(__pyx_t_3, __pyx_temp+1-__pyx_t_6, 2+__pyx_t_6); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1179, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_GOTREF(__pyx_t_1);
  } else
  #endif
  #if CYTHON_FAST_PYCCALL
  if (__Pyx_PyFastCFunction_Check(__pyx_t_3)) {
    PyObject *__pyx_temp[3] = {__pyx_t_2, __pyx_v_s2y, __pyx_v_e2y};
    __pyx_t_1 = __Pyx_PyCFunction_FastCall(__pyx_t_3, __pyx_temp+1-__pyx_t_6, 2+__pyx_t_6); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1179, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_GOTREF(__pyx_t_1);
  } else
  #endif
  {
    __pyx_t_7 = PyTuple_New(2+__pyx_t_6); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1179, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    if (__pyx_t_2) {
      __Pyx_GIVEREF(__pyx_t_2); PyTuple_SET_ITEM(__pyx_t_7, 0, __pyx_t_2); __pyx_t_2 = NULL;
    }
    __Pyx_INCREF(__pyx_v_s2y);
    __Pyx_GIVEREF(__pyx_v_s2y);
    PyTuple_SET_ITEM(__pyx_t_7, 0+__pyx_t_6, __pyx_v_s2y);
    __Pyx_INCREF(__pyx_v_e2y);
    __Pyx_GIVEREF(__pyx_v_e2y);
    PyTuple_SET_ITEM(__pyx_t_7, 1+__pyx_t_6, __pyx_v_e2y);
    __pyx_t_1 = __Pyx_PyObject_Call(__pyx_t_3, __pyx_t_7, NULL); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1179, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
  }
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_9 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely(__pyx_t_9 < 0)) __PYX_ERR(0, 1179, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  if (__pyx_t_9) {
  } else {
    __pyx_t_5 = __pyx_t_9;
    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_7 = __Pyx_PyObject_GetAttrStr(__pyx_t_3, __pyx_n_s_isclose); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1179, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_7);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = NULL;
  __pyx_t_6 = 0;
  if (CYTHON_UNPACK_METHODS && unlikely(PyMethod_Check(__pyx_t_7))) {
    __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_7);
    if (likely(__pyx_t_3)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_7);
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_7, function);
      __pyx_t_6 = 1;
    }
  }
  #if CYTHON_FAST_PYCALL
  if (PyFunction_Check(__pyx_t_7)) {
    PyObject *__pyx_temp[3] = {__pyx_t_3, __pyx_v_s1y, __pyx_v_e1y};
    __pyx_t_1 = __Pyx_PyFunction_FastCall(__pyx_t_7, __pyx_temp+1-__pyx_t_6, 2+__pyx_t_6); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1179, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_GOTREF(__pyx_t_1);
  } else
  #endif
  #if CYTHON_FAST_PYCCALL
  if (__Pyx_PyFastCFunction_Check(__pyx_t_7)) {
    PyObject *__pyx_temp[3] = {__pyx_t_3, __pyx_v_s1y, __pyx_v_e1y};
    __pyx_t_1 = __Pyx_PyCFunction_FastCall(__pyx_t_7, __pyx_temp+1-__pyx_t_6, 2+__pyx_t_6); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1179, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_GOTREF(__pyx_t_1);
  } else
  #endif
  {
    __pyx_t_2 = PyTuple_New(2+__pyx_t_6); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1179, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    if (__pyx_t_3) {
      __Pyx_GIVEREF(__pyx_t_3); PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_t_3); __pyx_t_3 = NULL;
    }
    __Pyx_INCREF(__pyx_v_s1y);
    __Pyx_GIVEREF(__pyx_v_s1y);
    PyTuple_SET_ITEM(__pyx_t_2, 0+__pyx_t_6, __pyx_v_s1y);
    __Pyx_INCREF(__pyx_v_e1y);
    __Pyx_GIVEREF(__pyx_v_e1y);
    PyTuple_SET_ITEM(__pyx_t_2, 1+__pyx_t_6, __pyx_v_e1y);
    __pyx_t_1 = __Pyx_PyObject_Call(__pyx_t_7, __pyx_t_2, NULL); 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_DECREF(__pyx_t_7); __pyx_t_7 = 0;
  __pyx_t_9 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely(__pyx_t_9 < 0)) __PYX_ERR(0, 1179, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  if (__pyx_t_9) {
  } else {
    __pyx_t_5 = __pyx_t_9;
    goto __pyx_L16_bool_binop_done;
  }
  __Pyx_GetModuleGlobalName(__pyx_t_7, __pyx_n_s_math); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1179, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_7);
  __pyx_t_2 = __Pyx_PyObject_GetAttrStr(__pyx_t_7, __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_7); __pyx_t_7 = 0;
  __pyx_t_7 = NULL;
  __pyx_t_6 = 0;
  if (CYTHON_UNPACK_METHODS && unlikely(PyMethod_Check(__pyx_t_2))) {
    __pyx_t_7 = PyMethod_GET_SELF(__pyx_t_2);
    if (likely(__pyx_t_7)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_2);
      __Pyx_INCREF(__pyx_t_7);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_2, function);
      __pyx_t_6 = 1;
    }
  }
  #if CYTHON_FAST_PYCALL
  if (PyFunction_Check(__pyx_t_2)) {
    PyObject *__pyx_temp[3] = {__pyx_t_7, __pyx_v_s1y, __pyx_v_s2y};
    __pyx_t_1 = __Pyx_PyFunction_FastCall(__pyx_t_2, __pyx_temp+1-__pyx_t_6, 2+__pyx_t_6); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1179, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_7); __pyx_t_7 = 0;
    __Pyx_GOTREF(__pyx_t_1);
  } else
  #endif
  #if CYTHON_FAST_PYCCALL
  if (__Pyx_PyFastCFunction_Check(__pyx_t_2)) {
    PyObject *__pyx_temp[3] = {__pyx_t_7, __pyx_v_s1y, __pyx_v_s2y};
    __pyx_t_1 = __Pyx_PyCFunction_FastCall(__pyx_t_2, __pyx_temp+1-__pyx_t_6, 2+__pyx_t_6); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1179, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_7); __pyx_t_7 = 0;
    __Pyx_GOTREF(__pyx_t_1);
  } else
  #endif
  {
    __pyx_t_3 = PyTuple_New(2+__pyx_t_6); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1179, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    if (__pyx_t_7) {
      __Pyx_GIVEREF(__pyx_t_7); PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_7); __pyx_t_7 = NULL;
    }
    __Pyx_INCREF(__pyx_v_s1y);
    __Pyx_GIVEREF(__pyx_v_s1y);
    PyTuple_SET_ITEM(__pyx_t_3, 0+__pyx_t_6, __pyx_v_s1y);
    __Pyx_INCREF(__pyx_v_s2y);
    __Pyx_GIVEREF(__pyx_v_s2y);
    PyTuple_SET_ITEM(__pyx_t_3, 1+__pyx_t_6, __pyx_v_s2y);
    __pyx_t_1 = __Pyx_PyObject_Call(__pyx_t_2, __pyx_t_3, NULL); 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_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_9 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely(__pyx_t_9 < 0)) __PYX_ERR(0, 1179, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_8 = ((!__pyx_t_9) != 0);
  __pyx_t_5 = __pyx_t_8;
  __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 && 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;
    }
  }
  #if CYTHON_FAST_PYCALL
  if (PyFunction_Check(__pyx_t_3)) {
    PyObject *__pyx_temp[3] = {__pyx_t_2, __pyx_v_s2x, __pyx_v_e2x};
    __pyx_t_1 = __Pyx_PyFunction_FastCall(__pyx_t_3, __pyx_temp+1-__pyx_t_6, 2+__pyx_t_6); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1182, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_GOTREF(__pyx_t_1);
  } else
  #endif
  #if CYTHON_FAST_PYCCALL
  if (__Pyx_PyFastCFunction_Check(__pyx_t_3)) {
    PyObject *__pyx_temp[3] = {__pyx_t_2, __pyx_v_s2x, __pyx_v_e2x};
    __pyx_t_1 = __Pyx_PyCFunction_FastCall(__pyx_t_3, __pyx_temp+1-__pyx_t_6, 2+__pyx_t_6); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1182, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_GOTREF(__pyx_t_1);
  } else
  #endif
  {
    __pyx_t_7 = PyTuple_New(2+__pyx_t_6); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1182, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    if (__pyx_t_2) {
      __Pyx_GIVEREF(__pyx_t_2); PyTuple_SET_ITEM(__pyx_t_7, 0, __pyx_t_2); __pyx_t_2 = NULL;
    }
    __Pyx_INCREF(__pyx_v_s2x);
    __Pyx_GIVEREF(__pyx_v_s2x);
    PyTuple_SET_ITEM(__pyx_t_7, 0+__pyx_t_6, __pyx_v_s2x);
    __Pyx_INCREF(__pyx_v_e2x);
    __Pyx_GIVEREF(__pyx_v_e2x);
    PyTuple_SET_ITEM(__pyx_t_7, 1+__pyx_t_6, __pyx_v_e2x);
    __pyx_t_1 = __Pyx_PyObject_Call(__pyx_t_3, __pyx_t_7, NULL); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1182, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
  }
  __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, 1182, __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_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_7 = __Pyx_PyObject_GetAttrStr(__pyx_t_3, __pyx_n_s_isclose); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1182, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_7);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = NULL;
  __pyx_t_6 = 0;
  if (CYTHON_UNPACK_METHODS && unlikely(PyMethod_Check(__pyx_t_7))) {
    __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_7);
    if (likely(__pyx_t_3)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_7);
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_7, function);
      __pyx_t_6 = 1;
    }
  }
  #if CYTHON_FAST_PYCALL
  if (PyFunction_Check(__pyx_t_7)) {
    PyObject *__pyx_temp[3] = {__pyx_t_3, __pyx_v_s2y, __pyx_v_e2y};
    __pyx_t_1 = __Pyx_PyFunction_FastCall(__pyx_t_7, __pyx_temp+1-__pyx_t_6, 2+__pyx_t_6); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1182, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_GOTREF(__pyx_t_1);
  } else
  #endif
  #if CYTHON_FAST_PYCCALL
  if (__Pyx_PyFastCFunction_Check(__pyx_t_7)) {
    PyObject *__pyx_temp[3] = {__pyx_t_3, __pyx_v_s2y, __pyx_v_e2y};
    __pyx_t_1 = __Pyx_PyCFunction_FastCall(__pyx_t_7, __pyx_temp+1-__pyx_t_6, 2+__pyx_t_6); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1182, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_GOTREF(__pyx_t_1);
  } else
  #endif
  {
    __pyx_t_2 = PyTuple_New(2+__pyx_t_6); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1182, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    if (__pyx_t_3) {
      __Pyx_GIVEREF(__pyx_t_3); PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_t_3); __pyx_t_3 = NULL;
    }
    __Pyx_INCREF(__pyx_v_s2y);
    __Pyx_GIVEREF(__pyx_v_s2y);
    PyTuple_SET_ITEM(__pyx_t_2, 0+__pyx_t_6, __pyx_v_s2y);
    __Pyx_INCREF(__pyx_v_e2y);
    __Pyx_GIVEREF(__pyx_v_e2y);
    PyTuple_SET_ITEM(__pyx_t_2, 1+__pyx_t_6, __pyx_v_e2y);
    __pyx_t_1 = __Pyx_PyObject_Call(__pyx_t_7, __pyx_t_2, NULL); 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_DECREF(__pyx_t_7); __pyx_t_7 = 0;
  __pyx_t_8 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely(__pyx_t_8 < 0)) __PYX_ERR(0, 1182, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_5 = __pyx_t_8;
  __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_7, __pyx_n_s_math); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1184, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_7);
  __pyx_t_2 = __Pyx_PyObject_GetAttrStr(__pyx_t_7, __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_7); __pyx_t_7 = 0;
  __pyx_t_7 = NULL;
  __pyx_t_6 = 0;
  if (CYTHON_UNPACK_METHODS && unlikely(PyMethod_Check(__pyx_t_2))) {
    __pyx_t_7 = PyMethod_GET_SELF(__pyx_t_2);
    if (likely(__pyx_t_7)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_2);
      __Pyx_INCREF(__pyx_t_7);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_2, function);
      __pyx_t_6 = 1;
    }
  }
  #if CYTHON_FAST_PYCALL
  if (PyFunction_Check(__pyx_t_2)) {
    PyObject *__pyx_temp[3] = {__pyx_t_7, __pyx_v_s1x, __pyx_v_e1x};
    __pyx_t_1 = __Pyx_PyFunction_FastCall(__pyx_t_2, __pyx_temp+1-__pyx_t_6, 2+__pyx_t_6); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1184, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_7); __pyx_t_7 = 0;
    __Pyx_GOTREF(__pyx_t_1);
  } else
  #endif
  #if CYTHON_FAST_PYCCALL
  if (__Pyx_PyFastCFunction_Check(__pyx_t_2)) {
    PyObject *__pyx_temp[3] = {__pyx_t_7, __pyx_v_s1x, __pyx_v_e1x};
    __pyx_t_1 = __Pyx_PyCFunction_FastCall(__pyx_t_2, __pyx_temp+1-__pyx_t_6, 2+__pyx_t_6); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1184, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_7); __pyx_t_7 = 0;
    __Pyx_GOTREF(__pyx_t_1);
  } else
  #endif
  {
    __pyx_t_3 = PyTuple_New(2+__pyx_t_6); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1184, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    if (__pyx_t_7) {
      __Pyx_GIVEREF(__pyx_t_7); PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_7); __pyx_t_7 = NULL;
    }
    __Pyx_INCREF(__pyx_v_s1x);
    __Pyx_GIVEREF(__pyx_v_s1x);
    PyTuple_SET_ITEM(__pyx_t_3, 0+__pyx_t_6, __pyx_v_s1x);
    __Pyx_INCREF(__pyx_v_e1x);
    __Pyx_GIVEREF(__pyx_v_e1x);
    PyTuple_SET_ITEM(__pyx_t_3, 1+__pyx_t_6, __pyx_v_e1x);
    __pyx_t_1 = __Pyx_PyObject_Call(__pyx_t_2, __pyx_t_3, NULL); 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_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, 1184, __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_L23_bool_binop_done;
  }
  __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 && 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;
    }
  }
  #if CYTHON_FAST_PYCALL
  if (PyFunction_Check(__pyx_t_3)) {
    PyObject *__pyx_temp[3] = {__pyx_t_2, __pyx_v_s1y, __pyx_v_e1y};
    __pyx_t_1 = __Pyx_PyFunction_FastCall(__pyx_t_3, __pyx_temp+1-__pyx_t_6, 2+__pyx_t_6); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1184, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_GOTREF(__pyx_t_1);
  } else
  #endif
  #if CYTHON_FAST_PYCCALL
  if (__Pyx_PyFastCFunction_Check(__pyx_t_3)) {
    PyObject *__pyx_temp[3] = {__pyx_t_2, __pyx_v_s1y, __pyx_v_e1y};
    __pyx_t_1 = __Pyx_PyCFunction_FastCall(__pyx_t_3, __pyx_temp+1-__pyx_t_6, 2+__pyx_t_6); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1184, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_GOTREF(__pyx_t_1);
  } else
  #endif
  {
    __pyx_t_7 = PyTuple_New(2+__pyx_t_6); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1184, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    if (__pyx_t_2) {
      __Pyx_GIVEREF(__pyx_t_2); PyTuple_SET_ITEM(__pyx_t_7, 0, __pyx_t_2); __pyx_t_2 = NULL;
    }
    __Pyx_INCREF(__pyx_v_s1y);
    __Pyx_GIVEREF(__pyx_v_s1y);
    PyTuple_SET_ITEM(__pyx_t_7, 0+__pyx_t_6, __pyx_v_s1y);
    __Pyx_INCREF(__pyx_v_e1y);
    __Pyx_GIVEREF(__pyx_v_e1y);
    PyTuple_SET_ITEM(__pyx_t_7, 1+__pyx_t_6, __pyx_v_e1y);
    __pyx_t_1 = __Pyx_PyObject_Call(__pyx_t_3, __pyx_t_7, NULL); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1184, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
  }
  __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, 1184, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_5 = __pyx_t_8;
  __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_3, __pyx_n_s_math); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1186, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_7 = __Pyx_PyObject_GetAttrStr(__pyx_t_3, __pyx_n_s_isclose); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1186, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_7);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = NULL;
  __pyx_t_6 = 0;
  if (CYTHON_UNPACK_METHODS && unlikely(PyMethod_Check(__pyx_t_7))) {
    __pyx_t_3 = PyMethod_GET_SELF(__pyx_t_7);
    if (likely(__pyx_t_3)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_7);
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_7, function);
      __pyx_t_6 = 1;
    }
  }
  #if CYTHON_FAST_PYCALL
  if (PyFunction_Check(__pyx_t_7)) {
    PyObject *__pyx_temp[3] = {__pyx_t_3, __pyx_v_e1x, __pyx_v_s1x};
    __pyx_t_1 = __Pyx_PyFunction_FastCall(__pyx_t_7, __pyx_temp+1-__pyx_t_6, 2+__pyx_t_6); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1186, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_GOTREF(__pyx_t_1);
  } else
  #endif
  #if CYTHON_FAST_PYCCALL
  if (__Pyx_PyFastCFunction_Check(__pyx_t_7)) {
    PyObject *__pyx_temp[3] = {__pyx_t_3, __pyx_v_e1x, __pyx_v_s1x};
    __pyx_t_1 = __Pyx_PyCFunction_FastCall(__pyx_t_7, __pyx_temp+1-__pyx_t_6, 2+__pyx_t_6); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1186, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_GOTREF(__pyx_t_1);
  } else
  #endif
  {
    __pyx_t_2 = PyTuple_New(2+__pyx_t_6); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1186, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    if (__pyx_t_3) {
      __Pyx_GIVEREF(__pyx_t_3); PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_t_3); __pyx_t_3 = NULL;
    }
    __Pyx_INCREF(__pyx_v_e1x);
    __Pyx_GIVEREF(__pyx_v_e1x);
    PyTuple_SET_ITEM(__pyx_t_2, 0+__pyx_t_6, __pyx_v_e1x);
    __Pyx_INCREF(__pyx_v_s1x);
    __Pyx_GIVEREF(__pyx_v_s1x);
    PyTuple_SET_ITEM(__pyx_t_2, 1+__pyx_t_6, __pyx_v_s1x);
    __pyx_t_1 = __Pyx_PyObject_Call(__pyx_t_7, __pyx_t_2, NULL); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1186, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  }
  __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 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_7 = PyNumber_Subtract(__pyx_v_e2x, __pyx_v_s2x); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1188, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __pyx_t_2 = __Pyx_PyNumber_Divide(__pyx_t_1, __pyx_t_7); 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_7); __pyx_t_7 = 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_7 = PyNumber_Multiply(__pyx_v_slope34, __pyx_t_2); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1189, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_t_2 = PyNumber_Add(__pyx_t_7, __pyx_v_s2y); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1189, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 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);
    PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_v_x);
    __Pyx_INCREF(__pyx_v_y);
    __Pyx_GIVEREF(__pyx_v_y);
    PyTuple_SET_ITEM(__pyx_t_2, 1, __pyx_v_y);
    __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_7 = __Pyx_PyDict_NewPresized(3); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1193, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    if (PyDict_SetItem(__pyx_t_7, __pyx_n_s_pt, __pyx_v_pt) < 0) __PYX_ERR(0, 1193, __pyx_L1_error)
    __Pyx_GetModuleGlobalName(__pyx_t_3, __pyx_n_s_line_t_of_pt); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1193, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_10 = NULL;
    __pyx_t_6 = 0;
    if (CYTHON_UNPACK_METHODS && unlikely(PyMethod_Check(__pyx_t_3))) {
      __pyx_t_10 = PyMethod_GET_SELF(__pyx_t_3);
      if (likely(__pyx_t_10)) {
        PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_3);
        __Pyx_INCREF(__pyx_t_10);
        __Pyx_INCREF(function);
        __Pyx_DECREF_SET(__pyx_t_3, function);
        __pyx_t_6 = 1;
      }
    }
    #if CYTHON_FAST_PYCALL
    if (PyFunction_Check(__pyx_t_3)) {
      PyObject *__pyx_temp[4] = {__pyx_t_10, __pyx_v_s1, __pyx_v_e1, __pyx_v_pt};
      __pyx_t_1 = __Pyx_PyFunction_FastCall(__pyx_t_3, __pyx_temp+1-__pyx_t_6, 3+__pyx_t_6); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1193, __pyx_L1_error)
      __Pyx_XDECREF(__pyx_t_10); __pyx_t_10 = 0;
      __Pyx_GOTREF(__pyx_t_1);
    } else
    #endif
    #if CYTHON_FAST_PYCCALL
    if (__Pyx_PyFastCFunction_Check(__pyx_t_3)) {
      PyObject *__pyx_temp[4] = {__pyx_t_10, __pyx_v_s1, __pyx_v_e1, __pyx_v_pt};
      __pyx_t_1 = __Pyx_PyCFunction_FastCall(__pyx_t_3, __pyx_temp+1-__pyx_t_6, 3+__pyx_t_6); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1193, __pyx_L1_error)
      __Pyx_XDECREF(__pyx_t_10); __pyx_t_10 = 0;
      __Pyx_GOTREF(__pyx_t_1);
    } else
    #endif
    {
      __pyx_t_11 = PyTuple_New(3+__pyx_t_6); if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 1193, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_11);
      if (__pyx_t_10) {
        __Pyx_GIVEREF(__pyx_t_10); PyTuple_SET_ITEM(__pyx_t_11, 0, __pyx_t_10); __pyx_t_10 = NULL;
      }
      __Pyx_INCREF(__pyx_v_s1);
      __Pyx_GIVEREF(__pyx_v_s1);
      PyTuple_SET_ITEM(__pyx_t_11, 0+__pyx_t_6, __pyx_v_s1);
      __Pyx_INCREF(__pyx_v_e1);
      __Pyx_GIVEREF(__pyx_v_e1);
      PyTuple_SET_ITEM(__pyx_t_11, 1+__pyx_t_6, __pyx_v_e1);
      __Pyx_INCREF(__pyx_v_pt);
      __Pyx_GIVEREF(__pyx_v_pt);
      PyTuple_SET_ITEM(__pyx_t_11, 2+__pyx_t_6, __pyx_v_pt);
      __pyx_t_1 = __Pyx_PyObject_Call(__pyx_t_3, __pyx_t_11, NULL); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1193, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __Pyx_DECREF(__pyx_t_11); __pyx_t_11 = 0;
    }
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (PyDict_SetItem(__pyx_t_7, __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_3, __pyx_n_s_line_t_of_pt); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1193, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_11 = NULL;
    __pyx_t_6 = 0;
    if (CYTHON_UNPACK_METHODS && unlikely(PyMethod_Check(__pyx_t_3))) {
      __pyx_t_11 = PyMethod_GET_SELF(__pyx_t_3);
      if (likely(__pyx_t_11)) {
        PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_3);
        __Pyx_INCREF(__pyx_t_11);
        __Pyx_INCREF(function);
        __Pyx_DECREF_SET(__pyx_t_3, function);
        __pyx_t_6 = 1;
      }
    }
    #if CYTHON_FAST_PYCALL
    if (PyFunction_Check(__pyx_t_3)) {
      PyObject *__pyx_temp[4] = {__pyx_t_11, __pyx_v_s2, __pyx_v_e2, __pyx_v_pt};
      __pyx_t_1 = __Pyx_PyFunction_FastCall(__pyx_t_3, __pyx_temp+1-__pyx_t_6, 3+__pyx_t_6); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1193, __pyx_L1_error)
      __Pyx_XDECREF(__pyx_t_11); __pyx_t_11 = 0;
      __Pyx_GOTREF(__pyx_t_1);
    } else
    #endif
    #if CYTHON_FAST_PYCCALL
    if (__Pyx_PyFastCFunction_Check(__pyx_t_3)) {
      PyObject *__pyx_temp[4] = {__pyx_t_11, __pyx_v_s2, __pyx_v_e2, __pyx_v_pt};
      __pyx_t_1 = __Pyx_PyCFunction_FastCall(__pyx_t_3, __pyx_temp+1-__pyx_t_6, 3+__pyx_t_6); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1193, __pyx_L1_error)
      __Pyx_XDECREF(__pyx_t_11); __pyx_t_11 = 0;
      __Pyx_GOTREF(__pyx_t_1);
    } else
    #endif
    {
      __pyx_t_10 = PyTuple_New(3+__pyx_t_6); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 1193, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_10);
      if (__pyx_t_11) {
        __Pyx_GIVEREF(__pyx_t_11); PyTuple_SET_ITEM(__pyx_t_10, 0, __pyx_t_11); __pyx_t_11 = NULL;
      }
      __Pyx_INCREF(__pyx_v_s2);
      __Pyx_GIVEREF(__pyx_v_s2);
      PyTuple_SET_ITEM(__pyx_t_10, 0+__pyx_t_6, __pyx_v_s2);
      __Pyx_INCREF(__pyx_v_e2);
      __Pyx_GIVEREF(__pyx_v_e2);
      PyTuple_SET_ITEM(__pyx_t_10, 1+__pyx_t_6, __pyx_v_e2);
      __Pyx_INCREF(__pyx_v_pt);
      __Pyx_GIVEREF(__pyx_v_pt);
      PyTuple_SET_ITEM(__pyx_t_10, 2+__pyx_t_6, __pyx_v_pt);
      __pyx_t_1 = __Pyx_PyObject_Call(__pyx_t_3, __pyx_t_10, NULL); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1193, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
    }
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (PyDict_SetItem(__pyx_t_7, __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_7); 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_7); __pyx_t_7 = 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_7 = PyList_New(1); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1191, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __Pyx_GIVEREF(__pyx_t_1);
    PyList_SET_ITEM(__pyx_t_7, 0, __pyx_t_1);
    __pyx_t_1 = 0;
    __pyx_r = __pyx_t_7;
    __pyx_t_7 = 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 && 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;
    }
  }
  #if CYTHON_FAST_PYCALL
  if (PyFunction_Check(__pyx_t_2)) {
    PyObject *__pyx_temp[3] = {__pyx_t_1, __pyx_v_s2x, __pyx_v_e2x};
    __pyx_t_7 = __Pyx_PyFunction_FastCall(__pyx_t_2, __pyx_temp+1-__pyx_t_6, 2+__pyx_t_6); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1196, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_GOTREF(__pyx_t_7);
  } else
  #endif
  #if CYTHON_FAST_PYCCALL
  if (__Pyx_PyFastCFunction_Check(__pyx_t_2)) {
    PyObject *__pyx_temp[3] = {__pyx_t_1, __pyx_v_s2x, __pyx_v_e2x};
    __pyx_t_7 = __Pyx_PyCFunction_FastCall(__pyx_t_2, __pyx_temp+1-__pyx_t_6, 2+__pyx_t_6); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1196, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_GOTREF(__pyx_t_7);
  } else
  #endif
  {
    __pyx_t_3 = PyTuple_New(2+__pyx_t_6); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1196, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    if (__pyx_t_1) {
      __Pyx_GIVEREF(__pyx_t_1); PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_1); __pyx_t_1 = NULL;
    }
    __Pyx_INCREF(__pyx_v_s2x);
    __Pyx_GIVEREF(__pyx_v_s2x);
    PyTuple_SET_ITEM(__pyx_t_3, 0+__pyx_t_6, __pyx_v_s2x);
    __Pyx_INCREF(__pyx_v_e2x);
    __Pyx_GIVEREF(__pyx_v_e2x);
    PyTuple_SET_ITEM(__pyx_t_3, 1+__pyx_t_6, __pyx_v_e2x);
    __pyx_t_7 = __Pyx_PyObject_Call(__pyx_t_2, __pyx_t_3, NULL); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1196, __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_t_5 = __Pyx_PyObject_IsTrue(__pyx_t_7); if (unlikely(__pyx_t_5 < 0)) __PYX_ERR(0, 1196, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 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_7 = PyNumber_Subtract(__pyx_v_e1y, __pyx_v_s1y); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1198, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __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_3 = __Pyx_PyNumber_Divide(__pyx_t_7, __pyx_t_2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1198, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_v_slope12 = __pyx_t_3;
    __pyx_t_3 = 0;

    /* "fontTools/misc/bezierTools.py":1199
 *         x = s2x
 *         slope12 = (e1y - s1y) / (e1x - s1x)
 *         y = slope12 * (x - s1x) + s1y             # <<<<<<<<<<<<<<
 *         pt = (x, y)
 *         return [
 */
    __pyx_t_3 = PyNumber_Subtract(__pyx_v_x, __pyx_v_s1x); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1199, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_2 = PyNumber_Multiply(__pyx_v_slope12, __pyx_t_3); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1199, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_3 = PyNumber_Add(__pyx_t_2, __pyx_v_s1y); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1199, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_v_y = __pyx_t_3;
    __pyx_t_3 = 0;

    /* "fontTools/misc/bezierTools.py":1200
 *         slope12 = (e1y - s1y) / (e1x - s1x)
 *         y = slope12 * (x - s1x) + s1y
 *         pt = (x, y)             # <<<<<<<<<<<<<<
 *         return [
 *             Intersection(
 */
    __pyx_t_3 = PyTuple_New(2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1200, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_INCREF(__pyx_v_x);
    __Pyx_GIVEREF(__pyx_v_x);
    PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_v_x);
    __Pyx_INCREF(__pyx_v_y);
    __Pyx_GIVEREF(__pyx_v_y);
    PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_v_y);
    __pyx_v_pt = ((PyObject*)__pyx_t_3);
    __pyx_t_3 = 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_3, __pyx_n_s_Intersection); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1202, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);

    /* "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_1, __pyx_n_s_line_t_of_pt); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1203, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_10 = NULL;
    __pyx_t_6 = 0;
    if (CYTHON_UNPACK_METHODS && 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_6 = 1;
      }
    }
    #if CYTHON_FAST_PYCALL
    if (PyFunction_Check(__pyx_t_1)) {
      PyObject *__pyx_temp[4] = {__pyx_t_10, __pyx_v_s1, __pyx_v_e1, __pyx_v_pt};
      __pyx_t_7 = __Pyx_PyFunction_FastCall(__pyx_t_1, __pyx_temp+1-__pyx_t_6, 3+__pyx_t_6); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1203, __pyx_L1_error)
      __Pyx_XDECREF(__pyx_t_10); __pyx_t_10 = 0;
      __Pyx_GOTREF(__pyx_t_7);
    } else
    #endif
    #if CYTHON_FAST_PYCCALL
    if (__Pyx_PyFastCFunction_Check(__pyx_t_1)) {
      PyObject *__pyx_temp[4] = {__pyx_t_10, __pyx_v_s1, __pyx_v_e1, __pyx_v_pt};
      __pyx_t_7 = __Pyx_PyCFunction_FastCall(__pyx_t_1, __pyx_temp+1-__pyx_t_6, 3+__pyx_t_6); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1203, __pyx_L1_error)
      __Pyx_XDECREF(__pyx_t_10); __pyx_t_10 = 0;
      __Pyx_GOTREF(__pyx_t_7);
    } else
    #endif
    {
      __pyx_t_11 = PyTuple_New(3+__pyx_t_6); if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 1203, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_11);
      if (__pyx_t_10) {
        __Pyx_GIVEREF(__pyx_t_10); PyTuple_SET_ITEM(__pyx_t_11, 0, __pyx_t_10); __pyx_t_10 = NULL;
      }
      __Pyx_INCREF(__pyx_v_s1);
      __Pyx_GIVEREF(__pyx_v_s1);
      PyTuple_SET_ITEM(__pyx_t_11, 0+__pyx_t_6, __pyx_v_s1);
      __Pyx_INCREF(__pyx_v_e1);
      __Pyx_GIVEREF(__pyx_v_e1);
      PyTuple_SET_ITEM(__pyx_t_11, 1+__pyx_t_6, __pyx_v_e1);
      __Pyx_INCREF(__pyx_v_pt);
      __Pyx_GIVEREF(__pyx_v_pt);
      PyTuple_SET_ITEM(__pyx_t_11, 2+__pyx_t_6, __pyx_v_pt);
      __pyx_t_7 = __Pyx_PyObject_Call(__pyx_t_1, __pyx_t_11, NULL); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1203, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_7);
      __Pyx_DECREF(__pyx_t_11); __pyx_t_11 = 0;
    }
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    if (PyDict_SetItem(__pyx_t_2, __pyx_n_s_t1, __pyx_t_7) < 0) __PYX_ERR(0, 1203, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    __Pyx_GetModuleGlobalName(__pyx_t_1, __pyx_n_s_line_t_of_pt); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1203, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_11 = NULL;
    __pyx_t_6 = 0;
    if (CYTHON_UNPACK_METHODS && 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_6 = 1;
      }
    }
    #if CYTHON_FAST_PYCALL
    if (PyFunction_Check(__pyx_t_1)) {
      PyObject *__pyx_temp[4] = {__pyx_t_11, __pyx_v_s2, __pyx_v_e2, __pyx_v_pt};
      __pyx_t_7 = __Pyx_PyFunction_FastCall(__pyx_t_1, __pyx_temp+1-__pyx_t_6, 3+__pyx_t_6); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1203, __pyx_L1_error)
      __Pyx_XDECREF(__pyx_t_11); __pyx_t_11 = 0;
      __Pyx_GOTREF(__pyx_t_7);
    } else
    #endif
    #if CYTHON_FAST_PYCCALL
    if (__Pyx_PyFastCFunction_Check(__pyx_t_1)) {
      PyObject *__pyx_temp[4] = {__pyx_t_11, __pyx_v_s2, __pyx_v_e2, __pyx_v_pt};
      __pyx_t_7 = __Pyx_PyCFunction_FastCall(__pyx_t_1, __pyx_temp+1-__pyx_t_6, 3+__pyx_t_6); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1203, __pyx_L1_error)
      __Pyx_XDECREF(__pyx_t_11); __pyx_t_11 = 0;
      __Pyx_GOTREF(__pyx_t_7);
    } else
    #endif
    {
      __pyx_t_10 = PyTuple_New(3+__pyx_t_6); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 1203, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_10);
      if (__pyx_t_11) {
        __Pyx_GIVEREF(__pyx_t_11); PyTuple_SET_ITEM(__pyx_t_10, 0, __pyx_t_11); __pyx_t_11 = NULL;
      }
      __Pyx_INCREF(__pyx_v_s2);
      __Pyx_GIVEREF(__pyx_v_s2);
      PyTuple_SET_ITEM(__pyx_t_10, 0+__pyx_t_6, __pyx_v_s2);
      __Pyx_INCREF(__pyx_v_e2);
      __Pyx_GIVEREF(__pyx_v_e2);
      PyTuple_SET_ITEM(__pyx_t_10, 1+__pyx_t_6, __pyx_v_e2);
      __Pyx_INCREF(__pyx_v_pt);
      __Pyx_GIVEREF(__pyx_v_pt);
      PyTuple_SET_ITEM(__pyx_t_10, 2+__pyx_t_6, __pyx_v_pt);
      __pyx_t_7 = __Pyx_PyObject_Call(__pyx_t_1, __pyx_t_10, NULL); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1203, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_7);
      __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
    }
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    if (PyDict_SetItem(__pyx_t_2, __pyx_n_s_t2, __pyx_t_7) < 0) __PYX_ERR(0, 1203, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 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_7 = __Pyx_PyObject_Call(__pyx_t_3, __pyx_empty_tuple, __pyx_t_2); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1202, __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;

    /* "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_7);
    PyList_SET_ITEM(__pyx_t_2, 0, __pyx_t_7);
    __pyx_t_7 = 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_7 = PyNumber_Subtract(__pyx_v_e1x, __pyx_v_s1x); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1207, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_7);
  __pyx_t_3 = __Pyx_PyNumber_Divide(__pyx_t_2, __pyx_t_7); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1207, __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_v_slope12 = __pyx_t_3;
  __pyx_t_3 = 0;

  /* "fontTools/misc/bezierTools.py":1208
 * 
 *     slope12 = (e1y - s1y) / (e1x - s1x)
 *     slope34 = (e2y - s2y) / (e2x - s2x)             # <<<<<<<<<<<<<<
 *     if math.isclose(slope12, slope34):
 *         return []
 */
  __pyx_t_3 = PyNumber_Subtract(__pyx_v_e2y, __pyx_v_s2y); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1208, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_7 = PyNumber_Subtract(__pyx_v_e2x, __pyx_v_s2x); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1208, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_7);
  __pyx_t_2 = __Pyx_PyNumber_Divide(__pyx_t_3, __pyx_t_7); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1208, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 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_7, __pyx_n_s_math); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1209, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_7);
  __pyx_t_3 = __Pyx_PyObject_GetAttrStr(__pyx_t_7, __pyx_n_s_isclose); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1209, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
  __pyx_t_7 = NULL;
  __pyx_t_6 = 0;
  if (CYTHON_UNPACK_METHODS && unlikely(PyMethod_Check(__pyx_t_3))) {
    __pyx_t_7 = PyMethod_GET_SELF(__pyx_t_3);
    if (likely(__pyx_t_7)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_3);
      __Pyx_INCREF(__pyx_t_7);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_3, function);
      __pyx_t_6 = 1;
    }
  }
  #if CYTHON_FAST_PYCALL
  if (PyFunction_Check(__pyx_t_3)) {
    PyObject *__pyx_temp[3] = {__pyx_t_7, __pyx_v_slope12, __pyx_v_slope34};
    __pyx_t_2 = __Pyx_PyFunction_FastCall(__pyx_t_3, __pyx_temp+1-__pyx_t_6, 2+__pyx_t_6); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1209, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_7); __pyx_t_7 = 0;
    __Pyx_GOTREF(__pyx_t_2);
  } else
  #endif
  #if CYTHON_FAST_PYCCALL
  if (__Pyx_PyFastCFunction_Check(__pyx_t_3)) {
    PyObject *__pyx_temp[3] = {__pyx_t_7, __pyx_v_slope12, __pyx_v_slope34};
    __pyx_t_2 = __Pyx_PyCFunction_FastCall(__pyx_t_3, __pyx_temp+1-__pyx_t_6, 2+__pyx_t_6); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1209, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_7); __pyx_t_7 = 0;
    __Pyx_GOTREF(__pyx_t_2);
  } else
  #endif
  {
    __pyx_t_1 = PyTuple_New(2+__pyx_t_6); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1209, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    if (__pyx_t_7) {
      __Pyx_GIVEREF(__pyx_t_7); PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_t_7); __pyx_t_7 = NULL;
    }
    __Pyx_INCREF(__pyx_v_slope12);
    __Pyx_GIVEREF(__pyx_v_slope12);
    PyTuple_SET_ITEM(__pyx_t_1, 0+__pyx_t_6, __pyx_v_slope12);
    __Pyx_INCREF(__pyx_v_slope34);
    __Pyx_GIVEREF(__pyx_v_slope34);
    PyTuple_SET_ITEM(__pyx_t_1, 1+__pyx_t_6, __pyx_v_slope34);
    __pyx_t_2 = __Pyx_PyObject_Call(__pyx_t_3, __pyx_t_1, NULL); 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_DECREF(__pyx_t_3); __pyx_t_3 = 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_3 = PyNumber_Subtract(__pyx_t_2, __pyx_v_s1y); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1211, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __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_1 = PyNumber_Subtract(__pyx_t_3, __pyx_t_2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1211, __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 = PyNumber_Add(__pyx_t_1, __pyx_v_s2y); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1211, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyNumber_Subtract(__pyx_v_slope12, __pyx_v_slope34); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1211, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_3 = __Pyx_PyNumber_Divide(__pyx_t_2, __pyx_t_1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1211, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_v_x = __pyx_t_3;
  __pyx_t_3 = 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_3 = PyNumber_Subtract(__pyx_v_x, __pyx_v_s1x); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1212, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_1 = PyNumber_Multiply(__pyx_v_slope12, __pyx_t_3); 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_t_3 = PyNumber_Add(__pyx_t_1, __pyx_v_s1y); 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_v_y = __pyx_t_3;
  __pyx_t_3 = 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_3 = PyTuple_New(2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1213, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_INCREF(__pyx_v_x);
  __Pyx_GIVEREF(__pyx_v_x);
  PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_v_x);
  __Pyx_INCREF(__pyx_v_y);
  __Pyx_GIVEREF(__pyx_v_y);
  PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_v_y);
  __pyx_v_pt = ((PyObject*)__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_GetModuleGlobalName(__pyx_t_1, __pyx_n_s_both_points_are_on_same_side_of); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1214, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);

  /* "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 && 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_6 = 1;
    }
  }
  #if CYTHON_FAST_PYCALL
  if (PyFunction_Check(__pyx_t_1)) {
    PyObject *__pyx_temp[4] = {__pyx_t_2, __pyx_v_pt, __pyx_v_e1, __pyx_v_s1};
    __pyx_t_3 = __Pyx_PyFunction_FastCall(__pyx_t_1, __pyx_temp+1-__pyx_t_6, 3+__pyx_t_6); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1214, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_GOTREF(__pyx_t_3);
  } else
  #endif
  #if CYTHON_FAST_PYCCALL
  if (__Pyx_PyFastCFunction_Check(__pyx_t_1)) {
    PyObject *__pyx_temp[4] = {__pyx_t_2, __pyx_v_pt, __pyx_v_e1, __pyx_v_s1};
    __pyx_t_3 = __Pyx_PyCFunction_FastCall(__pyx_t_1, __pyx_temp+1-__pyx_t_6, 3+__pyx_t_6); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1214, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_GOTREF(__pyx_t_3);
  } else
  #endif
  {
    __pyx_t_7 = PyTuple_New(3+__pyx_t_6); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1214, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    if (__pyx_t_2) {
      __Pyx_GIVEREF(__pyx_t_2); PyTuple_SET_ITEM(__pyx_t_7, 0, __pyx_t_2); __pyx_t_2 = NULL;
    }
    __Pyx_INCREF(__pyx_v_pt);
    __Pyx_GIVEREF(__pyx_v_pt);
    PyTuple_SET_ITEM(__pyx_t_7, 0+__pyx_t_6, __pyx_v_pt);
    __Pyx_INCREF(__pyx_v_e1);
    __Pyx_GIVEREF(__pyx_v_e1);
    PyTuple_SET_ITEM(__pyx_t_7, 1+__pyx_t_6, __pyx_v_e1);
    __Pyx_INCREF(__pyx_v_s1);
    __Pyx_GIVEREF(__pyx_v_s1);
    PyTuple_SET_ITEM(__pyx_t_7, 2+__pyx_t_6, __pyx_v_s1);
    __pyx_t_3 = __Pyx_PyObject_Call(__pyx_t_1, __pyx_t_7, NULL); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1214, __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;

  /* "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_8 = __Pyx_PyObject_IsTrue(__pyx_t_3); if (unlikely(__pyx_t_8 < 0)) __PYX_ERR(0, 1214, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  if (__pyx_t_8) {
  } else {
    __pyx_t_5 = __pyx_t_8;
    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_1, __pyx_n_s_both_points_are_on_same_side_of); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1216, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_7 = NULL;
  __pyx_t_6 = 0;
  if (CYTHON_UNPACK_METHODS && unlikely(PyMethod_Check(__pyx_t_1))) {
    __pyx_t_7 = PyMethod_GET_SELF(__pyx_t_1);
    if (likely(__pyx_t_7)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_1);
      __Pyx_INCREF(__pyx_t_7);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_1, function);
      __pyx_t_6 = 1;
    }
  }
  #if CYTHON_FAST_PYCALL
  if (PyFunction_Check(__pyx_t_1)) {
    PyObject *__pyx_temp[4] = {__pyx_t_7, __pyx_v_pt, __pyx_v_s2, __pyx_v_e2};
    __pyx_t_3 = __Pyx_PyFunction_FastCall(__pyx_t_1, __pyx_temp+1-__pyx_t_6, 3+__pyx_t_6); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1216, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_7); __pyx_t_7 = 0;
    __Pyx_GOTREF(__pyx_t_3);
  } else
  #endif
  #if CYTHON_FAST_PYCCALL
  if (__Pyx_PyFastCFunction_Check(__pyx_t_1)) {
    PyObject *__pyx_temp[4] = {__pyx_t_7, __pyx_v_pt, __pyx_v_s2, __pyx_v_e2};
    __pyx_t_3 = __Pyx_PyCFunction_FastCall(__pyx_t_1, __pyx_temp+1-__pyx_t_6, 3+__pyx_t_6); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1216, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_7); __pyx_t_7 = 0;
    __Pyx_GOTREF(__pyx_t_3);
  } else
  #endif
  {
    __pyx_t_2 = PyTuple_New(3+__pyx_t_6); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1216, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    if (__pyx_t_7) {
      __Pyx_GIVEREF(__pyx_t_7); PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_t_7); __pyx_t_7 = NULL;
    }
    __Pyx_INCREF(__pyx_v_pt);
    __Pyx_GIVEREF(__pyx_v_pt);
    PyTuple_SET_ITEM(__pyx_t_2, 0+__pyx_t_6, __pyx_v_pt);
    __Pyx_INCREF(__pyx_v_s2);
    __Pyx_GIVEREF(__pyx_v_s2);
    PyTuple_SET_ITEM(__pyx_t_2, 1+__pyx_t_6, __pyx_v_s2);
    __Pyx_INCREF(__pyx_v_e2);
    __Pyx_GIVEREF(__pyx_v_e2);
    PyTuple_SET_ITEM(__pyx_t_2, 2+__pyx_t_6, __pyx_v_e2);
    __pyx_t_3 = __Pyx_PyObject_Call(__pyx_t_1, __pyx_t_2, NULL); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1216, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  }
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_8 = __Pyx_PyObject_IsTrue(__pyx_t_3); if (unlikely(__pyx_t_8 < 0)) __PYX_ERR(0, 1216, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_5 = __pyx_t_8;
  __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_3, __pyx_n_s_Intersection); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1218, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);

    /* "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_1 = __Pyx_PyDict_NewPresized(3); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1219, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    if (PyDict_SetItem(__pyx_t_1, __pyx_n_s_pt, __pyx_v_pt) < 0) __PYX_ERR(0, 1219, __pyx_L1_error)
    __Pyx_GetModuleGlobalName(__pyx_t_7, __pyx_n_s_line_t_of_pt); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1219, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __pyx_t_10 = NULL;
    __pyx_t_6 = 0;
    if (CYTHON_UNPACK_METHODS && unlikely(PyMethod_Check(__pyx_t_7))) {
      __pyx_t_10 = PyMethod_GET_SELF(__pyx_t_7);
      if (likely(__pyx_t_10)) {
        PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_7);
        __Pyx_INCREF(__pyx_t_10);
        __Pyx_INCREF(function);
        __Pyx_DECREF_SET(__pyx_t_7, function);
        __pyx_t_6 = 1;
      }
    }
    #if CYTHON_FAST_PYCALL
    if (PyFunction_Check(__pyx_t_7)) {
      PyObject *__pyx_temp[4] = {__pyx_t_10, __pyx_v_s1, __pyx_v_e1, __pyx_v_pt};
      __pyx_t_2 = __Pyx_PyFunction_FastCall(__pyx_t_7, __pyx_temp+1-__pyx_t_6, 3+__pyx_t_6); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1219, __pyx_L1_error)
      __Pyx_XDECREF(__pyx_t_10); __pyx_t_10 = 0;
      __Pyx_GOTREF(__pyx_t_2);
    } else
    #endif
    #if CYTHON_FAST_PYCCALL
    if (__Pyx_PyFastCFunction_Check(__pyx_t_7)) {
      PyObject *__pyx_temp[4] = {__pyx_t_10, __pyx_v_s1, __pyx_v_e1, __pyx_v_pt};
      __pyx_t_2 = __Pyx_PyCFunction_FastCall(__pyx_t_7, __pyx_temp+1-__pyx_t_6, 3+__pyx_t_6); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1219, __pyx_L1_error)
      __Pyx_XDECREF(__pyx_t_10); __pyx_t_10 = 0;
      __Pyx_GOTREF(__pyx_t_2);
    } else
    #endif
    {
      __pyx_t_11 = PyTuple_New(3+__pyx_t_6); if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 1219, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_11);
      if (__pyx_t_10) {
        __Pyx_GIVEREF(__pyx_t_10); PyTuple_SET_ITEM(__pyx_t_11, 0, __pyx_t_10); __pyx_t_10 = NULL;
      }
      __Pyx_INCREF(__pyx_v_s1);
      __Pyx_GIVEREF(__pyx_v_s1);
      PyTuple_SET_ITEM(__pyx_t_11, 0+__pyx_t_6, __pyx_v_s1);
      __Pyx_INCREF(__pyx_v_e1);
      __Pyx_GIVEREF(__pyx_v_e1);
      PyTuple_SET_ITEM(__pyx_t_11, 1+__pyx_t_6, __pyx_v_e1);
      __Pyx_INCREF(__pyx_v_pt);
      __Pyx_GIVEREF(__pyx_v_pt);
      PyTuple_SET_ITEM(__pyx_t_11, 2+__pyx_t_6, __pyx_v_pt);
      __pyx_t_2 = __Pyx_PyObject_Call(__pyx_t_7, __pyx_t_11, NULL); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1219, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_2);
      __Pyx_DECREF(__pyx_t_11); __pyx_t_11 = 0;
    }
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    if (PyDict_SetItem(__pyx_t_1, __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_7, __pyx_n_s_line_t_of_pt); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1219, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __pyx_t_11 = NULL;
    __pyx_t_6 = 0;
    if (CYTHON_UNPACK_METHODS && unlikely(PyMethod_Check(__pyx_t_7))) {
      __pyx_t_11 = PyMethod_GET_SELF(__pyx_t_7);
      if (likely(__pyx_t_11)) {
        PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_7);
        __Pyx_INCREF(__pyx_t_11);
        __Pyx_INCREF(function);
        __Pyx_DECREF_SET(__pyx_t_7, function);
        __pyx_t_6 = 1;
      }
    }
    #if CYTHON_FAST_PYCALL
    if (PyFunction_Check(__pyx_t_7)) {
      PyObject *__pyx_temp[4] = {__pyx_t_11, __pyx_v_s2, __pyx_v_e2, __pyx_v_pt};
      __pyx_t_2 = __Pyx_PyFunction_FastCall(__pyx_t_7, __pyx_temp+1-__pyx_t_6, 3+__pyx_t_6); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1219, __pyx_L1_error)
      __Pyx_XDECREF(__pyx_t_11); __pyx_t_11 = 0;
      __Pyx_GOTREF(__pyx_t_2);
    } else
    #endif
    #if CYTHON_FAST_PYCCALL
    if (__Pyx_PyFastCFunction_Check(__pyx_t_7)) {
      PyObject *__pyx_temp[4] = {__pyx_t_11, __pyx_v_s2, __pyx_v_e2, __pyx_v_pt};
      __pyx_t_2 = __Pyx_PyCFunction_FastCall(__pyx_t_7, __pyx_temp+1-__pyx_t_6, 3+__pyx_t_6); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1219, __pyx_L1_error)
      __Pyx_XDECREF(__pyx_t_11); __pyx_t_11 = 0;
      __Pyx_GOTREF(__pyx_t_2);
    } else
    #endif
    {
      __pyx_t_10 = PyTuple_New(3+__pyx_t_6); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 1219, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_10);
      if (__pyx_t_11) {
        __Pyx_GIVEREF(__pyx_t_11); PyTuple_SET_ITEM(__pyx_t_10, 0, __pyx_t_11); __pyx_t_11 = NULL;
      }
      __Pyx_INCREF(__pyx_v_s2);
      __Pyx_GIVEREF(__pyx_v_s2);
      PyTuple_SET_ITEM(__pyx_t_10, 0+__pyx_t_6, __pyx_v_s2);
      __Pyx_INCREF(__pyx_v_e2);
      __Pyx_GIVEREF(__pyx_v_e2);
      PyTuple_SET_ITEM(__pyx_t_10, 1+__pyx_t_6, __pyx_v_e2);
      __Pyx_INCREF(__pyx_v_pt);
      __Pyx_GIVEREF(__pyx_v_pt);
      PyTuple_SET_ITEM(__pyx_t_10, 2+__pyx_t_6, __pyx_v_pt);
      __pyx_t_2 = __Pyx_PyObject_Call(__pyx_t_7, __pyx_t_10, NULL); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1219, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_2);
      __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
    }
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    if (PyDict_SetItem(__pyx_t_1, __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_3, __pyx_empty_tuple, __pyx_t_1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1218, __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;

    /* "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_1 = PyList_New(1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1217, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_GIVEREF(__pyx_t_2);
    PyList_SET_ITEM(__pyx_t_1, 0, __pyx_t_2);
    __pyx_t_2 = 0;
    __pyx_r = __pyx_t_1;
    __pyx_t_1 = 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_1 = PyList_New(0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1222, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_r = __pyx_t_1;
  __pyx_t_1 = 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_7);
  __Pyx_XDECREF(__pyx_t_10);
  __Pyx_XDECREF(__pyx_t_11);
  __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, PyObject *__pyx_v_segment); /*proto*/
static char __pyx_doc_9fontTools_4misc_11bezierTools_74_alignment_transformation[] = "_alignment_transformation(segment)";
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_75_alignment_transformation = {"_alignment_transformation", (PyCFunction)__pyx_pw_9fontTools_4misc_11bezierTools_75_alignment_transformation, METH_O, __pyx_doc_9fontTools_4misc_11bezierTools_74_alignment_transformation};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_75_alignment_transformation(PyObject *__pyx_self, PyObject *__pyx_v_segment) {
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("_alignment_transformation (wrapper)", 0);
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_74_alignment_transformation(__pyx_self, ((PyObject *)__pyx_v_segment));

  /* function exit code */
  __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", 0);

  /* "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 && 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;
    }
  }
  #if CYTHON_FAST_PYCALL
  if (PyFunction_Check(__pyx_t_3)) {
    PyObject *__pyx_temp[3] = {__pyx_t_2, __pyx_t_5, __pyx_t_6};
    __pyx_t_1 = __Pyx_PyFunction_FastCall(__pyx_t_3, __pyx_temp+1-__pyx_t_7, 2+__pyx_t_7); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1231, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
  } else
  #endif
  #if CYTHON_FAST_PYCCALL
  if (__Pyx_PyFastCFunction_Check(__pyx_t_3)) {
    PyObject *__pyx_temp[3] = {__pyx_t_2, __pyx_t_5, __pyx_t_6};
    __pyx_t_1 = __Pyx_PyCFunction_FastCall(__pyx_t_3, __pyx_temp+1-__pyx_t_7, 2+__pyx_t_7); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1231, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
  } else
  #endif
  {
    __pyx_t_4 = PyTuple_New(2+__pyx_t_7); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1231, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    if (__pyx_t_2) {
      __Pyx_GIVEREF(__pyx_t_2); PyTuple_SET_ITEM(__pyx_t_4, 0, __pyx_t_2); __pyx_t_2 = NULL;
    }
    __Pyx_GIVEREF(__pyx_t_5);
    PyTuple_SET_ITEM(__pyx_t_4, 0+__pyx_t_7, __pyx_t_5);
    __Pyx_GIVEREF(__pyx_t_6);
    PyTuple_SET_ITEM(__pyx_t_4, 1+__pyx_t_7, __pyx_t_6);
    __pyx_t_5 = 0;
    __pyx_t_6 = 0;
    __pyx_t_1 = __Pyx_PyObject_Call(__pyx_t_3, __pyx_t_4, NULL); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1231, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  }
  __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_4, __pyx_n_s_Identity); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1232, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_6 = __Pyx_PyObject_GetAttrStr(__pyx_t_4, __pyx_n_s_rotate); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1232, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_6);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_t_4 = PyNumber_Negative(__pyx_v_angle); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1232, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_5 = NULL;
  if (CYTHON_UNPACK_METHODS && unlikely(PyMethod_Check(__pyx_t_6))) {
    __pyx_t_5 = PyMethod_GET_SELF(__pyx_t_6);
    if (likely(__pyx_t_5)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_6);
      __Pyx_INCREF(__pyx_t_5);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_6, function);
    }
  }
  __pyx_t_3 = (__pyx_t_5) ? __Pyx_PyObject_Call2Args(__pyx_t_6, __pyx_t_5, __pyx_t_4) : __Pyx_PyObject_CallOneArg(__pyx_t_6, __pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1232, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
  __pyx_t_6 = __Pyx_PyObject_GetAttrStr(__pyx_t_3, __pyx_n_s_translate); 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, 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_4 = PyNumber_Negative(__pyx_t_3); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1232, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
  __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_5 = PyNumber_Negative(__pyx_t_3); 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 = NULL;
  __pyx_t_7 = 0;
  if (CYTHON_UNPACK_METHODS && likely(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_7 = 1;
    }
  }
  #if CYTHON_FAST_PYCALL
  if (PyFunction_Check(__pyx_t_6)) {
    PyObject *__pyx_temp[3] = {__pyx_t_3, __pyx_t_4, __pyx_t_5};
    __pyx_t_1 = __Pyx_PyFunction_FastCall(__pyx_t_6, __pyx_temp+1-__pyx_t_7, 2+__pyx_t_7); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1232, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  } else
  #endif
  #if CYTHON_FAST_PYCCALL
  if (__Pyx_PyFastCFunction_Check(__pyx_t_6)) {
    PyObject *__pyx_temp[3] = {__pyx_t_3, __pyx_t_4, __pyx_t_5};
    __pyx_t_1 = __Pyx_PyCFunction_FastCall(__pyx_t_6, __pyx_temp+1-__pyx_t_7, 2+__pyx_t_7); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1232, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  } else
  #endif
  {
    __pyx_t_2 = PyTuple_New(2+__pyx_t_7); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1232, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    if (__pyx_t_3) {
      __Pyx_GIVEREF(__pyx_t_3); PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_t_3); __pyx_t_3 = NULL;
    }
    __Pyx_GIVEREF(__pyx_t_4);
    PyTuple_SET_ITEM(__pyx_t_2, 0+__pyx_t_7, __pyx_t_4);
    __Pyx_GIVEREF(__pyx_t_5);
    PyTuple_SET_ITEM(__pyx_t_2, 1+__pyx_t_7, __pyx_t_5);
    __pyx_t_4 = 0;
    __pyx_t_5 = 0;
    __pyx_t_1 = __Pyx_PyObject_Call(__pyx_t_6, __pyx_t_2, NULL); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1232, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  }
  __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 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, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __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*)(PyCFunctionWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_77_curve_line_intersections_t, METH_VARARGS|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, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  PyObject *__pyx_v_curve = 0;
  PyObject *__pyx_v_line = 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);
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_curve,&__pyx_n_s_line,0};
    PyObject* values[2] = {0,0};
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_curve)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_line)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("_curve_line_intersections_t", 1, 2, 2, 1); __PYX_ERR(0, 1235, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "_curve_line_intersections_t") < 0)) __PYX_ERR(0, 1235, __pyx_L3_error)
      }
    } else if (PyTuple_GET_SIZE(__pyx_args) != 2) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
      values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
    }
    __pyx_v_curve = values[0];
    __pyx_v_line = values[1];
  }
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("_curve_line_intersections_t", 1, 2, 2, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 1235, __pyx_L3_error)
  __pyx_L3_error:;
  __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 */
  __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(PyObject *__pyx_self) {
  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, 1245, __pyx_L1_error)
  } else {
    __Pyx_GOTREF(__pyx_cur_scope);
  }
  __pyx_cur_scope->__pyx_outer_scope = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6__curve_line_intersections_t *) __pyx_self;
  __Pyx_INCREF(((PyObject *)__pyx_cur_scope->__pyx_outer_scope));
  __Pyx_GIVEREF(__pyx_cur_scope->__pyx_outer_scope);
  {
    __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_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;
  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_outer_scope->__pyx_v_intersections)) { __Pyx_RaiseClosureNameError("intersections"); __PYX_ERR(0, 1245, __pyx_L1_error) }
  if (likely(PyList_CheckExact(__pyx_cur_scope->__pyx_outer_scope->__pyx_v_intersections)) || PyTuple_CheckExact(__pyx_cur_scope->__pyx_outer_scope->__pyx_v_intersections)) {
    __pyx_t_1 = __pyx_cur_scope->__pyx_outer_scope->__pyx_v_intersections; __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_outer_scope->__pyx_v_intersections); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1245, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_3 = Py_TYPE(__pyx_t_1)->tp_iternext; 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))) {
        if (__pyx_t_2 >= PyList_GET_SIZE(__pyx_t_1)) 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 = 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 {
        if (__pyx_t_2 >= PyTuple_GET_SIZE(__pyx_t_1)) 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 = 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_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) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6__curve_line_intersections_t *__pyx_cur_scope;
  PyObject *__pyx_v_aligned_curve = NULL;
  PyObject *__pyx_v_a = NULL;
  PyObject *__pyx_v_b = NULL;
  PyObject *__pyx_v_c = 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;
  Py_ssize_t __pyx_t_5;
  int __pyx_t_6;
  PyObject *__pyx_t_7 = NULL;
  PyObject *(*__pyx_t_8)(PyObject *);
  PyObject *__pyx_t_9 = NULL;
  int __pyx_t_10;
  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("_curve_line_intersections_t", 0);
  __pyx_cur_scope = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6__curve_line_intersections_t *)__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_6__curve_line_intersections_t(__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_6__curve_line_intersections_t, __pyx_empty_tuple, NULL);
  if (unlikely(!__pyx_cur_scope)) {
    __pyx_cur_scope = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6__curve_line_intersections_t *)Py_None);
    __Pyx_INCREF(Py_None);
    __PYX_ERR(0, 1235, __pyx_L1_error)
  } else {
    __Pyx_GOTREF(__pyx_cur_scope);
  }

  /* "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;
  if (CYTHON_UNPACK_METHODS && 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_2 = (__pyx_t_4) ? __Pyx_PyObject_Call2Args(__pyx_t_3, __pyx_t_4, __pyx_v_line) : __Pyx_PyObject_CallOneArg(__pyx_t_3, __pyx_v_line);
  __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;
  if (CYTHON_UNPACK_METHODS && 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_1 = (__pyx_t_2) ? __Pyx_PyObject_Call2Args(__pyx_t_3, __pyx_t_2, __pyx_v_curve) : __Pyx_PyObject_CallOneArg(__pyx_t_3, __pyx_v_curve);
  __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_5 = PyObject_Length(__pyx_v_curve); if (unlikely(__pyx_t_5 == ((Py_ssize_t)-1))) __PYX_ERR(0, 1237, __pyx_L1_error)
  __pyx_t_6 = ((__pyx_t_5 == 3) != 0);
  if (__pyx_t_6) {

    /* "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_7 = PyObject_GetIter(__pyx_t_2); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1238, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_7);
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
      __pyx_t_8 = Py_TYPE(__pyx_t_7)->tp_iternext;
      index = 0; __pyx_t_3 = __pyx_t_8(__pyx_t_7); if (unlikely(!__pyx_t_3)) goto __pyx_L4_unpacking_failed;
      __Pyx_GOTREF(__pyx_t_3);
      index = 1; __pyx_t_1 = __pyx_t_8(__pyx_t_7); if (unlikely(!__pyx_t_1)) goto __pyx_L4_unpacking_failed;
      __Pyx_GOTREF(__pyx_t_1);
      index = 2; __pyx_t_4 = __pyx_t_8(__pyx_t_7); if (unlikely(!__pyx_t_4)) goto __pyx_L4_unpacking_failed;
      __Pyx_GOTREF(__pyx_t_4);
      if (__Pyx_IternextUnpackEndCheck(__pyx_t_8(__pyx_t_7), 3) < 0) __PYX_ERR(0, 1238, __pyx_L1_error)
      __pyx_t_8 = NULL;
      __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
      goto __pyx_L5_unpacking_done;
      __pyx_L4_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, 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_7 = __Pyx_GetItemInt(__pyx_v_c, 1, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1239, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __pyx_t_9 = NULL;
    __pyx_t_10 = 0;
    if (CYTHON_UNPACK_METHODS && unlikely(PyMethod_Check(__pyx_t_4))) {
      __pyx_t_9 = PyMethod_GET_SELF(__pyx_t_4);
      if (likely(__pyx_t_9)) {
        PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_4);
        __Pyx_INCREF(__pyx_t_9);
        __Pyx_INCREF(function);
        __Pyx_DECREF_SET(__pyx_t_4, function);
        __pyx_t_10 = 1;
      }
    }
    #if CYTHON_FAST_PYCALL
    if (PyFunction_Check(__pyx_t_4)) {
      PyObject *__pyx_temp[4] = {__pyx_t_9, __pyx_t_1, __pyx_t_3, __pyx_t_7};
      __pyx_t_2 = __Pyx_PyFunction_FastCall(__pyx_t_4, __pyx_temp+1-__pyx_t_10, 3+__pyx_t_10); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1239, __pyx_L1_error)
      __Pyx_XDECREF(__pyx_t_9); __pyx_t_9 = 0;
      __Pyx_GOTREF(__pyx_t_2);
      __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    } else
    #endif
    #if CYTHON_FAST_PYCCALL
    if (__Pyx_PyFastCFunction_Check(__pyx_t_4)) {
      PyObject *__pyx_temp[4] = {__pyx_t_9, __pyx_t_1, __pyx_t_3, __pyx_t_7};
      __pyx_t_2 = __Pyx_PyCFunction_FastCall(__pyx_t_4, __pyx_temp+1-__pyx_t_10, 3+__pyx_t_10); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1239, __pyx_L1_error)
      __Pyx_XDECREF(__pyx_t_9); __pyx_t_9 = 0;
      __Pyx_GOTREF(__pyx_t_2);
      __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    } else
    #endif
    {
      __pyx_t_11 = PyTuple_New(3+__pyx_t_10); if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 1239, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_11);
      if (__pyx_t_9) {
        __Pyx_GIVEREF(__pyx_t_9); PyTuple_SET_ITEM(__pyx_t_11, 0, __pyx_t_9); __pyx_t_9 = NULL;
      }
      __Pyx_GIVEREF(__pyx_t_1);
      PyTuple_SET_ITEM(__pyx_t_11, 0+__pyx_t_10, __pyx_t_1);
      __Pyx_GIVEREF(__pyx_t_3);
      PyTuple_SET_ITEM(__pyx_t_11, 1+__pyx_t_10, __pyx_t_3);
      __Pyx_GIVEREF(__pyx_t_7);
      PyTuple_SET_ITEM(__pyx_t_11, 2+__pyx_t_10, __pyx_t_7);
      __pyx_t_1 = 0;
      __pyx_t_3 = 0;
      __pyx_t_7 = 0;
      __pyx_t_2 = __Pyx_PyObject_Call(__pyx_t_4, __pyx_t_11, NULL); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1239, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_2);
      __Pyx_DECREF(__pyx_t_11); __pyx_t_11 = 0;
    }
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __Pyx_GIVEREF(__pyx_t_2);
    __pyx_cur_scope->__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_5 = PyObject_Length(__pyx_v_curve); if (unlikely(__pyx_t_5 == ((Py_ssize_t)-1))) __PYX_ERR(0, 1240, __pyx_L1_error)
  __pyx_t_6 = ((__pyx_t_5 == 4) != 0);
  if (likely(__pyx_t_6)) {

    /* "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_11 = __Pyx_PyObject_Call(__pyx_t_2, __pyx_t_4, NULL); if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 1241, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_11);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    if ((likely(PyTuple_CheckExact(__pyx_t_11))) || (PyList_CheckExact(__pyx_t_11))) {
      PyObject* sequence = __pyx_t_11;
      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_7 = PyTuple_GET_ITEM(sequence, 2); 
        __pyx_t_3 = PyTuple_GET_ITEM(sequence, 3); 
      } else {
        __pyx_t_4 = PyList_GET_ITEM(sequence, 0); 
        __pyx_t_2 = PyList_GET_ITEM(sequence, 1); 
        __pyx_t_7 = PyList_GET_ITEM(sequence, 2); 
        __pyx_t_3 = PyList_GET_ITEM(sequence, 3); 
      }
      __Pyx_INCREF(__pyx_t_4);
      __Pyx_INCREF(__pyx_t_2);
      __Pyx_INCREF(__pyx_t_7);
      __Pyx_INCREF(__pyx_t_3);
      #else
      {
        Py_ssize_t i;
        PyObject** temps[4] = {&__pyx_t_4,&__pyx_t_2,&__pyx_t_7,&__pyx_t_3};
        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_11); __pyx_t_11 = 0;
    } else {
      Py_ssize_t index = -1;
      PyObject** temps[4] = {&__pyx_t_4,&__pyx_t_2,&__pyx_t_7,&__pyx_t_3};
      __pyx_t_1 = PyObject_GetIter(__pyx_t_11); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1241, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_1);
      __Pyx_DECREF(__pyx_t_11); __pyx_t_11 = 0;
      __pyx_t_8 = Py_TYPE(__pyx_t_1)->tp_iternext;
      for (index=0; index < 4; index++) {
        PyObject* item = __pyx_t_8(__pyx_t_1); if (unlikely(!item)) goto __pyx_L6_unpacking_failed;
        __Pyx_GOTREF(item);
        *(temps[index]) = item;
      }
      if (__Pyx_IternextUnpackEndCheck(__pyx_t_8(__pyx_t_1), 4) < 0) __PYX_ERR(0, 1241, __pyx_L1_error)
      __pyx_t_8 = NULL;
      __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
      goto __pyx_L7_unpacking_done;
      __pyx_L6_unpacking_failed:;
      __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
      __pyx_t_8 = 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_7;
    __pyx_t_7 = 0;
    __pyx_v_d = __pyx_t_3;
    __pyx_t_3 = 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_3, __pyx_n_s_solveCubic); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1242, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_7 = __Pyx_GetItemInt(__pyx_v_a, 1, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1242, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __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_1 = __Pyx_GetItemInt(__pyx_v_d, 1, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1242, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_9 = NULL;
    __pyx_t_10 = 0;
    if (CYTHON_UNPACK_METHODS && unlikely(PyMethod_Check(__pyx_t_3))) {
      __pyx_t_9 = PyMethod_GET_SELF(__pyx_t_3);
      if (likely(__pyx_t_9)) {
        PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_3);
        __Pyx_INCREF(__pyx_t_9);
        __Pyx_INCREF(function);
        __Pyx_DECREF_SET(__pyx_t_3, function);
        __pyx_t_10 = 1;
      }
    }
    #if CYTHON_FAST_PYCALL
    if (PyFunction_Check(__pyx_t_3)) {
      PyObject *__pyx_temp[5] = {__pyx_t_9, __pyx_t_7, __pyx_t_2, __pyx_t_4, __pyx_t_1};
      __pyx_t_11 = __Pyx_PyFunction_FastCall(__pyx_t_3, __pyx_temp+1-__pyx_t_10, 4+__pyx_t_10); if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 1242, __pyx_L1_error)
      __Pyx_XDECREF(__pyx_t_9); __pyx_t_9 = 0;
      __Pyx_GOTREF(__pyx_t_11);
      __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    } else
    #endif
    #if CYTHON_FAST_PYCCALL
    if (__Pyx_PyFastCFunction_Check(__pyx_t_3)) {
      PyObject *__pyx_temp[5] = {__pyx_t_9, __pyx_t_7, __pyx_t_2, __pyx_t_4, __pyx_t_1};
      __pyx_t_11 = __Pyx_PyCFunction_FastCall(__pyx_t_3, __pyx_temp+1-__pyx_t_10, 4+__pyx_t_10); if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 1242, __pyx_L1_error)
      __Pyx_XDECREF(__pyx_t_9); __pyx_t_9 = 0;
      __Pyx_GOTREF(__pyx_t_11);
      __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
      __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    } else
    #endif
    {
      __pyx_t_12 = PyTuple_New(4+__pyx_t_10); if (unlikely(!__pyx_t_12)) __PYX_ERR(0, 1242, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_12);
      if (__pyx_t_9) {
        __Pyx_GIVEREF(__pyx_t_9); PyTuple_SET_ITEM(__pyx_t_12, 0, __pyx_t_9); __pyx_t_9 = NULL;
      }
      __Pyx_GIVEREF(__pyx_t_7);
      PyTuple_SET_ITEM(__pyx_t_12, 0+__pyx_t_10, __pyx_t_7);
      __Pyx_GIVEREF(__pyx_t_2);
      PyTuple_SET_ITEM(__pyx_t_12, 1+__pyx_t_10, __pyx_t_2);
      __Pyx_GIVEREF(__pyx_t_4);
      PyTuple_SET_ITEM(__pyx_t_12, 2+__pyx_t_10, __pyx_t_4);
      __Pyx_GIVEREF(__pyx_t_1);
      PyTuple_SET_ITEM(__pyx_t_12, 3+__pyx_t_10, __pyx_t_1);
      __pyx_t_7 = 0;
      __pyx_t_2 = 0;
      __pyx_t_4 = 0;
      __pyx_t_1 = 0;
      __pyx_t_11 = __Pyx_PyObject_Call(__pyx_t_3, __pyx_t_12, NULL); if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 1242, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_11);
      __Pyx_DECREF(__pyx_t_12); __pyx_t_12 = 0;
    }
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_GIVEREF(__pyx_t_11);
    __pyx_cur_scope->__pyx_v_intersections = __pyx_t_11;
    __pyx_t_11 = 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_11 = __Pyx_PyObject_Call(__pyx_builtin_ValueError, __pyx_tuple__4, NULL); if (unlikely(!__pyx_t_11)) __PYX_ERR(0, 1244, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_11);
    __Pyx_Raise(__pyx_t_11, 0, 0, 0);
    __Pyx_DECREF(__pyx_t_11); __pyx_t_11 = 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_3 = __pyx_pf_9fontTools_4misc_11bezierTools_27_curve_line_intersections_t_genexpr(((PyObject*)__pyx_cur_scope)); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1245, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_12 = __Pyx_Generator_Next(__pyx_t_3); if (unlikely(!__pyx_t_12)) __PYX_ERR(0, 1245, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_12);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_11 = ((PyObject*)__pyx_t_12);
  __pyx_t_12 = 0;
  __pyx_t_13 = PyList_Sort(__pyx_t_11); if (unlikely(__pyx_t_13 == ((int)-1))) __PYX_ERR(0, 1245, __pyx_L1_error)
  __pyx_r = __pyx_t_11;
  __pyx_t_11 = 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_7);
  __Pyx_XDECREF(__pyx_t_9);
  __Pyx_XDECREF(__pyx_t_11);
  __Pyx_XDECREF(__pyx_t_12);
  __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_d);
  __Pyx_XDECREF(__pyx_gb_9fontTools_4misc_11bezierTools_27_curve_line_intersections_t_2generator4);
  __Pyx_DECREF(((PyObject *)__pyx_cur_scope));
  __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, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __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*)(PyCFunctionWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_79curveLineIntersections, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_78curveLineIntersections};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_79curveLineIntersections(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  PyObject *__pyx_v_curve = 0;
  PyObject *__pyx_v_line = 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);
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_curve,&__pyx_n_s_line,0};
    PyObject* values[2] = {0,0};
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_curve)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_line)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("curveLineIntersections", 1, 2, 2, 1); __PYX_ERR(0, 1248, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "curveLineIntersections") < 0)) __PYX_ERR(0, 1248, __pyx_L3_error)
      }
    } else if (PyTuple_GET_SIZE(__pyx_args) != 2) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
      values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
    }
    __pyx_v_curve = values[0];
    __pyx_v_line = values[1];
  }
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("curveLineIntersections", 1, 2, 2, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 1248, __pyx_L3_error)
  __pyx_L3_error:;
  __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 */
  __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 = NULL;
  PyObject *(*__pyx_t_8)(PyObject *);
  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", 0);

  /* "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) != 0);
  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) != 0);
  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 && 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;
    }
  }
  #if CYTHON_FAST_PYCALL
  if (PyFunction_Check(__pyx_t_4)) {
    PyObject *__pyx_temp[3] = {__pyx_t_5, __pyx_v_curve, __pyx_v_line};
    __pyx_t_3 = __Pyx_PyFunction_FastCall(__pyx_t_4, __pyx_temp+1-__pyx_t_6, 2+__pyx_t_6); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1276, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
    __Pyx_GOTREF(__pyx_t_3);
  } else
  #endif
  #if CYTHON_FAST_PYCCALL
  if (__Pyx_PyFastCFunction_Check(__pyx_t_4)) {
    PyObject *__pyx_temp[3] = {__pyx_t_5, __pyx_v_curve, __pyx_v_line};
    __pyx_t_3 = __Pyx_PyCFunction_FastCall(__pyx_t_4, __pyx_temp+1-__pyx_t_6, 2+__pyx_t_6); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1276, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
    __Pyx_GOTREF(__pyx_t_3);
  } else
  #endif
  {
    __pyx_t_7 = PyTuple_New(2+__pyx_t_6); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1276, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    if (__pyx_t_5) {
      __Pyx_GIVEREF(__pyx_t_5); PyTuple_SET_ITEM(__pyx_t_7, 0, __pyx_t_5); __pyx_t_5 = NULL;
    }
    __Pyx_INCREF(__pyx_v_curve);
    __Pyx_GIVEREF(__pyx_v_curve);
    PyTuple_SET_ITEM(__pyx_t_7, 0+__pyx_t_6, __pyx_v_curve);
    __Pyx_INCREF(__pyx_v_line);
    __Pyx_GIVEREF(__pyx_v_line);
    PyTuple_SET_ITEM(__pyx_t_7, 1+__pyx_t_6, __pyx_v_line);
    __pyx_t_3 = __Pyx_PyObject_Call(__pyx_t_4, __pyx_t_7, NULL); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1276, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
  }
  __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_8 = 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_8 = Py_TYPE(__pyx_t_4)->tp_iternext; if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1276, __pyx_L1_error)
  }
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  for (;;) {
    if (likely(!__pyx_t_8)) {
      if (likely(PyList_CheckExact(__pyx_t_4))) {
        if (__pyx_t_1 >= PyList_GET_SIZE(__pyx_t_4)) 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 = 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 {
        if (__pyx_t_1 >= PyTuple_GET_SIZE(__pyx_t_4)) 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 = 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_8(__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_7 = PyTuple_New(1); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1277, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __Pyx_INCREF(__pyx_v_t);
    __Pyx_GIVEREF(__pyx_v_t);
    PyTuple_SET_ITEM(__pyx_t_7, 0, __pyx_v_t);
    __pyx_t_5 = PyNumber_Add(__pyx_t_3, __pyx_t_7); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1277, __pyx_L1_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 = __Pyx_PyObject_Call(__pyx_v_pointFinder, __pyx_t_5, NULL); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1277, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __Pyx_XDECREF_SET(__pyx_v_pt, __pyx_t_7);
    __pyx_t_7 = 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_7, __pyx_n_s_line_t_of_pt); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1280, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __pyx_t_5 = __Pyx_PySequence_Tuple(__pyx_v_line); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1280, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __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);
    PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_v_pt);
    __pyx_t_9 = PyNumber_Add(__pyx_t_5, __pyx_t_3); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 1280, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_9);
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_3 = __Pyx_PyObject_Call(__pyx_t_7, __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_7); __pyx_t_7 = 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_7 = PyTuple_New(1); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1281, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __Pyx_INCREF(__pyx_v_line_t);
    __Pyx_GIVEREF(__pyx_v_line_t);
    PyTuple_SET_ITEM(__pyx_t_7, 0, __pyx_v_line_t);
    __pyx_t_5 = PyNumber_Add(__pyx_t_9, __pyx_t_7); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1281, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    __pyx_t_7 = __Pyx_PyObject_Call(__pyx_t_3, __pyx_t_5, NULL); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1281, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __Pyx_DECREF_SET(__pyx_v_pt, __pyx_t_7);
    __pyx_t_7 = 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_7, __pyx_n_s_Intersection); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1282, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __pyx_t_5 = __Pyx_PyDict_NewPresized(3); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1282, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    if (PyDict_SetItem(__pyx_t_5, __pyx_n_s_pt, __pyx_v_pt) < 0) __PYX_ERR(0, 1282, __pyx_L1_error)
    if (PyDict_SetItem(__pyx_t_5, __pyx_n_s_t1, __pyx_v_t) < 0) __PYX_ERR(0, 1282, __pyx_L1_error)
    if (PyDict_SetItem(__pyx_t_5, __pyx_n_s_t2, __pyx_v_line_t) < 0) __PYX_ERR(0, 1282, __pyx_L1_error)
    __pyx_t_3 = __Pyx_PyObject_Call(__pyx_t_7, __pyx_empty_tuple, __pyx_t_5); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1282, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 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_7);
  __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, PyObject *__pyx_v_c); /*proto*/
static char __pyx_doc_9fontTools_4misc_11bezierTools_80_curve_bounds[] = "_curve_bounds(c)";
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_81_curve_bounds = {"_curve_bounds", (PyCFunction)__pyx_pw_9fontTools_4misc_11bezierTools_81_curve_bounds, METH_O, __pyx_doc_9fontTools_4misc_11bezierTools_80_curve_bounds};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_81_curve_bounds(PyObject *__pyx_self, PyObject *__pyx_v_c) {
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("_curve_bounds (wrapper)", 0);
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_80_curve_bounds(__pyx_self, ((PyObject *)__pyx_v_c));

  /* function exit code */
  __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", 0);

  /* "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) != 0);
  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) != 0);
  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, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __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*)(PyCFunctionWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_83_split_segment_at_t, METH_VARARGS|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, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  PyObject *__pyx_v_c = 0;
  PyObject *__pyx_v_t = 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);
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_c,&__pyx_n_s_t,0};
    PyObject* values[2] = {0,0};
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_c)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_t)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("_split_segment_at_t", 1, 2, 2, 1); __PYX_ERR(0, 1294, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "_split_segment_at_t") < 0)) __PYX_ERR(0, 1294, __pyx_L3_error)
      }
    } else if (PyTuple_GET_SIZE(__pyx_args) != 2) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
      values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
    }
    __pyx_v_c = values[0];
    __pyx_v_t = values[1];
  }
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("_split_segment_at_t", 1, 2, 2, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 1294, __pyx_L3_error)
  __pyx_L3_error:;
  __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 */
  __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", 0);

  /* "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) != 0);
  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 = Py_TYPE(__pyx_t_5)->tp_iternext;
      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 && 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;
      }
    }
    #if CYTHON_FAST_PYCALL
    if (PyFunction_Check(__pyx_t_3)) {
      PyObject *__pyx_temp[4] = {__pyx_t_5, __pyx_v_s, __pyx_v_e, __pyx_v_t};
      __pyx_t_4 = __Pyx_PyFunction_FastCall(__pyx_t_3, __pyx_temp+1-__pyx_t_7, 3+__pyx_t_7); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1297, __pyx_L1_error)
      __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
      __Pyx_GOTREF(__pyx_t_4);
    } else
    #endif
    #if CYTHON_FAST_PYCCALL
    if (__Pyx_PyFastCFunction_Check(__pyx_t_3)) {
      PyObject *__pyx_temp[4] = {__pyx_t_5, __pyx_v_s, __pyx_v_e, __pyx_v_t};
      __pyx_t_4 = __Pyx_PyCFunction_FastCall(__pyx_t_3, __pyx_temp+1-__pyx_t_7, 3+__pyx_t_7); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1297, __pyx_L1_error)
      __Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
      __Pyx_GOTREF(__pyx_t_4);
    } else
    #endif
    {
      __pyx_t_8 = PyTuple_New(3+__pyx_t_7); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1297, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_8);
      if (__pyx_t_5) {
        __Pyx_GIVEREF(__pyx_t_5); PyTuple_SET_ITEM(__pyx_t_8, 0, __pyx_t_5); __pyx_t_5 = NULL;
      }
      __Pyx_INCREF(__pyx_v_s);
      __Pyx_GIVEREF(__pyx_v_s);
      PyTuple_SET_ITEM(__pyx_t_8, 0+__pyx_t_7, __pyx_v_s);
      __Pyx_INCREF(__pyx_v_e);
      __Pyx_GIVEREF(__pyx_v_e);
      PyTuple_SET_ITEM(__pyx_t_8, 1+__pyx_t_7, __pyx_v_e);
      __Pyx_INCREF(__pyx_v_t);
      __Pyx_GIVEREF(__pyx_v_t);
      PyTuple_SET_ITEM(__pyx_t_8, 2+__pyx_t_7, __pyx_v_t);
      __pyx_t_4 = __Pyx_PyObject_Call(__pyx_t_3, __pyx_t_8, NULL); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1297, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_4);
      __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
    }
    __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);
    PyTuple_SET_ITEM(__pyx_t_4, 0, __pyx_v_s);
    __Pyx_INCREF(__pyx_v_midpoint);
    __Pyx_GIVEREF(__pyx_v_midpoint);
    PyTuple_SET_ITEM(__pyx_t_4, 1, __pyx_v_midpoint);
    __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);
    PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_v_midpoint);
    __Pyx_INCREF(__pyx_v_e);
    __Pyx_GIVEREF(__pyx_v_e);
    PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_v_e);
    __pyx_t_8 = PyList_New(2); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1298, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    __Pyx_GIVEREF(__pyx_t_4);
    PyList_SET_ITEM(__pyx_t_8, 0, __pyx_t_4);
    __Pyx_GIVEREF(__pyx_t_3);
    PyList_SET_ITEM(__pyx_t_8, 1, __pyx_t_3);
    __pyx_t_4 = 0;
    __pyx_t_3 = 0;
    __pyx_r = __pyx_t_8;
    __pyx_t_8 = 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) != 0);
  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_8, __pyx_n_s_splitQuadraticAtT_2); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1300, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    __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);
    PyTuple_SET_ITEM(__pyx_t_4, 0, __pyx_v_t);
    __pyx_t_5 = PyNumber_Add(__pyx_t_3, __pyx_t_4); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1300, __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_t_4 = __Pyx_PyObject_Call(__pyx_t_8, __pyx_t_5, NULL); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1300, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 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) != 0);
  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_5 = __Pyx_PySequence_Tuple(__pyx_v_c); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1302, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __pyx_t_8 = PyTuple_New(1); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1302, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    __Pyx_INCREF(__pyx_v_t);
    __Pyx_GIVEREF(__pyx_v_t);
    PyTuple_SET_ITEM(__pyx_t_8, 0, __pyx_v_t);
    __pyx_t_3 = PyNumber_Add(__pyx_t_5, __pyx_t_8); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1302, __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_8 = __Pyx_PyObject_Call(__pyx_t_4, __pyx_t_3, NULL); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1302, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_r = __pyx_t_8;
    __pyx_t_8 = 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_8 = __Pyx_PyObject_Call(__pyx_builtin_ValueError, __pyx_tuple__4, NULL); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1303, __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, 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, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __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*)(PyCFunctionWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_85_curve_curve_intersections_t, METH_VARARGS|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, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  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;
  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);
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_curve1,&__pyx_n_s_curve2,&__pyx_n_s_precision,&__pyx_n_s_range1,&__pyx_n_s_range2,0};
    PyObject* values[5] = {0,0,0,0,0};
    values[2] = ((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] = ((PyObject *)((PyObject *)Py_None));
    values[4] = ((PyObject *)((PyObject *)Py_None));
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        case  5: values[4] = PyTuple_GET_ITEM(__pyx_args, 4);
        CYTHON_FALLTHROUGH;
        case  4: values[3] = PyTuple_GET_ITEM(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_curve1)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_curve2)) != 0)) kw_args--;
        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_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_precision);
          if (value) { values[2] = value; kw_args--; }
        }
        CYTHON_FALLTHROUGH;
        case  3:
        if (kw_args > 0) {
          PyObject* value = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_range1);
          if (value) { values[3] = value; kw_args--; }
        }
        CYTHON_FALLTHROUGH;
        case  4:
        if (kw_args > 0) {
          PyObject* value = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_range2);
          if (value) { values[4] = value; kw_args--; }
        }
      }
      if (unlikely(kw_args > 0)) {
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "_curve_curve_intersections_t") < 0)) __PYX_ERR(0, 1306, __pyx_L3_error)
      }
    } else {
      switch (PyTuple_GET_SIZE(__pyx_args)) {
        case  5: values[4] = PyTuple_GET_ITEM(__pyx_args, 4);
        CYTHON_FALLTHROUGH;
        case  4: values[3] = PyTuple_GET_ITEM(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        values[0] = PyTuple_GET_ITEM(__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_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("_curve_curve_intersections_t", 0, 2, 5, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 1306, __pyx_L3_error)
  __pyx_L3_error:;
  __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 */
  __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, PyObject *__pyx_v_r); /*proto*/
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_1midpoint = {"midpoint", (PyCFunction)__pyx_pw_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_1midpoint, METH_O, 0};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_1midpoint(PyObject *__pyx_self, PyObject *__pyx_v_r) {
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("midpoint (wrapper)", 0);
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_midpoint(__pyx_self, ((PyObject *)__pyx_v_r));

  /* function exit code */
  __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", 0);

  /* "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, PyObject *__pyx_v_ts); /*proto*/
static PyMethodDef __pyx_mdef_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_2lambda3 = {"lambda3", (PyCFunction)__pyx_pw_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_2lambda3, METH_O, 0};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_2lambda3(PyObject *__pyx_self, PyObject *__pyx_v_ts) {
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("lambda3 (wrapper)", 0);
  __pyx_r = __pyx_lambda_funcdef_lambda3(__pyx_self, ((PyObject *)__pyx_v_ts));

  /* function exit code */
  __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_8__curve_curve_intersections_t *__pyx_cur_scope;
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_8__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", 0);
  __pyx_outer_scope = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_8__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);
  PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_1);
  __Pyx_GIVEREF(__pyx_t_2);
  PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_t_2);
  __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_8__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_8__curve_curve_intersections_t *)__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_8__curve_curve_intersections_t(__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_8__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_8__curve_curve_intersections_t *)Py_None);
    __Pyx_INCREF(Py_None);
    __PYX_ERR(0, 1306, __pyx_L1_error)
  } else {
    __Pyx_GOTREF(__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;
  if (CYTHON_UNPACK_METHODS && 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_1 = (__pyx_t_3) ? __Pyx_PyObject_Call2Args(__pyx_t_2, __pyx_t_3, __pyx_v_curve1) : __Pyx_PyObject_CallOneArg(__pyx_t_2, __pyx_v_curve1);
  __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;
  if (CYTHON_UNPACK_METHODS && 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_1 = (__pyx_t_3) ? __Pyx_PyObject_Call2Args(__pyx_t_2, __pyx_t_3, __pyx_v_curve2) : __Pyx_PyObject_CallOneArg(__pyx_t_2, __pyx_v_curve2);
  __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_4 = __Pyx_PyObject_IsTrue(__pyx_v_range1); if (unlikely(__pyx_t_4 < 0)) __PYX_ERR(0, 1312, __pyx_L1_error)
  __pyx_t_5 = ((!__pyx_t_4) != 0);
  if (__pyx_t_5) {

    /* "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_5 = __Pyx_PyObject_IsTrue(__pyx_v_range2); if (unlikely(__pyx_t_5 < 0)) __PYX_ERR(0, 1314, __pyx_L1_error)
  __pyx_t_4 = ((!__pyx_t_5) != 0);
  if (__pyx_t_4) {

    /* "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_6 = 0;
  if (CYTHON_UNPACK_METHODS && 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;
    }
  }
  #if CYTHON_FAST_PYCALL
  if (PyFunction_Check(__pyx_t_2)) {
    PyObject *__pyx_temp[3] = {__pyx_t_3, __pyx_v_bounds1, __pyx_v_bounds2};
    __pyx_t_1 = __Pyx_PyFunction_FastCall(__pyx_t_2, __pyx_temp+1-__pyx_t_6, 2+__pyx_t_6); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1318, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_GOTREF(__pyx_t_1);
  } else
  #endif
  #if CYTHON_FAST_PYCCALL
  if (__Pyx_PyFastCFunction_Check(__pyx_t_2)) {
    PyObject *__pyx_temp[3] = {__pyx_t_3, __pyx_v_bounds1, __pyx_v_bounds2};
    __pyx_t_1 = __Pyx_PyCFunction_FastCall(__pyx_t_2, __pyx_temp+1-__pyx_t_6, 2+__pyx_t_6); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1318, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_GOTREF(__pyx_t_1);
  } else
  #endif
  {
    __pyx_t_7 = PyTuple_New(2+__pyx_t_6); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1318, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    if (__pyx_t_3) {
      __Pyx_GIVEREF(__pyx_t_3); PyTuple_SET_ITEM(__pyx_t_7, 0, __pyx_t_3); __pyx_t_3 = NULL;
    }
    __Pyx_INCREF(__pyx_v_bounds1);
    __Pyx_GIVEREF(__pyx_v_bounds1);
    PyTuple_SET_ITEM(__pyx_t_7, 0+__pyx_t_6, __pyx_v_bounds1);
    __Pyx_INCREF(__pyx_v_bounds2);
    __Pyx_GIVEREF(__pyx_v_bounds2);
    PyTuple_SET_ITEM(__pyx_t_7, 1+__pyx_t_6, __pyx_v_bounds2);
    __pyx_t_1 = __Pyx_PyObject_Call(__pyx_t_2, __pyx_t_7, NULL); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1318, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
  }
  __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_7 = PyTuple_GET_ITEM(sequence, 1); 
    } else {
      __pyx_t_2 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_7 = PyList_GET_ITEM(sequence, 1); 
    }
    __Pyx_INCREF(__pyx_t_2);
    __Pyx_INCREF(__pyx_t_7);
    #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_7 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1318, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    #endif
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  } else {
    Py_ssize_t index = -1;
    __pyx_t_3 = PyObject_GetIter(__pyx_t_1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1318, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_8 = Py_TYPE(__pyx_t_3)->tp_iternext;
    index = 0; __pyx_t_2 = __pyx_t_8(__pyx_t_3); if (unlikely(!__pyx_t_2)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    index = 1; __pyx_t_7 = __pyx_t_8(__pyx_t_3); if (unlikely(!__pyx_t_7)) goto __pyx_L5_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_7);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_8(__pyx_t_3), 2) < 0) __PYX_ERR(0, 1318, __pyx_L1_error)
    __pyx_t_8 = 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_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_7;
  __pyx_t_7 = 0;

  /* "fontTools/misc/bezierTools.py":1319
 *     # If bounds don't intersect, go home
 *     intersects, _ = sectRect(bounds1, bounds2)
 *     if not intersects:             # <<<<<<<<<<<<<<
 *         return []
 * 
 */
  __pyx_t_4 = __Pyx_PyObject_IsTrue(__pyx_v_intersects); if (unlikely(__pyx_t_4 < 0)) __PYX_ERR(0, 1319, __pyx_L1_error)
  __pyx_t_5 = ((!__pyx_t_4) != 0);
  if (__pyx_t_5) {

    /* "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_7, __pyx_n_s_rectArea); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1326, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_7);
  __pyx_t_2 = NULL;
  if (CYTHON_UNPACK_METHODS && unlikely(PyMethod_Check(__pyx_t_7))) {
    __pyx_t_2 = PyMethod_GET_SELF(__pyx_t_7);
    if (likely(__pyx_t_2)) {
      PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_7);
      __Pyx_INCREF(__pyx_t_2);
      __Pyx_INCREF(function);
      __Pyx_DECREF_SET(__pyx_t_7, function);
    }
  }
  __pyx_t_1 = (__pyx_t_2) ? __Pyx_PyObject_Call2Args(__pyx_t_7, __pyx_t_2, __pyx_v_bounds1) : __Pyx_PyObject_CallOneArg(__pyx_t_7, __pyx_v_bounds1);
  __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_7); __pyx_t_7 = 0;
  __pyx_t_7 = PyObject_RichCompare(__pyx_t_1, __pyx_cur_scope->__pyx_v_precision, Py_LT); __Pyx_XGOTREF(__pyx_t_7); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1326, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_4 = __Pyx_PyObject_IsTrue(__pyx_t_7); if (unlikely(__pyx_t_4 < 0)) __PYX_ERR(0, 1326, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
  if (__pyx_t_4) {
  } else {
    __pyx_t_5 = __pyx_t_4;
    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;
  if (CYTHON_UNPACK_METHODS && 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_7 = (__pyx_t_2) ? __Pyx_PyObject_Call2Args(__pyx_t_1, __pyx_t_2, __pyx_v_bounds2) : __Pyx_PyObject_CallOneArg(__pyx_t_1, __pyx_v_bounds2);
  __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
  if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1326, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_7);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyObject_RichCompare(__pyx_t_7, __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_7); __pyx_t_7 = 0;
  __pyx_t_4 = __Pyx_PyObject_IsTrue(__pyx_t_1); if (unlikely(__pyx_t_4 < 0)) __PYX_ERR(0, 1326, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_5 = __pyx_t_4;
  __pyx_L9_bool_binop_done:;
  if (__pyx_t_5) {

    /* "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_7 = __pyx_pf_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_midpoint(__pyx_v_midpoint, __pyx_v_range2); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1327, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __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);
    PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_t_1);
    __Pyx_GIVEREF(__pyx_t_7);
    PyTuple_SET_ITEM(__pyx_t_2, 1, __pyx_t_7);
    __pyx_t_1 = 0;
    __pyx_t_7 = 0;
    __pyx_t_7 = PyList_New(1); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1327, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __Pyx_GIVEREF(__pyx_t_2);
    PyList_SET_ITEM(__pyx_t_7, 0, __pyx_t_2);
    __pyx_t_2 = 0;
    __pyx_r = __pyx_t_7;
    __pyx_t_7 = 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_6 = 0;
  if (CYTHON_UNPACK_METHODS && 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;
    }
  }
  #if CYTHON_FAST_PYCALL
  if (PyFunction_Check(__pyx_t_2)) {
    PyObject *__pyx_temp[3] = {__pyx_t_1, __pyx_v_curve1, __pyx_float_0_5};
    __pyx_t_7 = __Pyx_PyFunction_FastCall(__pyx_t_2, __pyx_temp+1-__pyx_t_6, 2+__pyx_t_6); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1329, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_GOTREF(__pyx_t_7);
  } else
  #endif
  #if CYTHON_FAST_PYCCALL
  if (__Pyx_PyFastCFunction_Check(__pyx_t_2)) {
    PyObject *__pyx_temp[3] = {__pyx_t_1, __pyx_v_curve1, __pyx_float_0_5};
    __pyx_t_7 = __Pyx_PyCFunction_FastCall(__pyx_t_2, __pyx_temp+1-__pyx_t_6, 2+__pyx_t_6); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1329, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_GOTREF(__pyx_t_7);
  } else
  #endif
  {
    __pyx_t_3 = PyTuple_New(2+__pyx_t_6); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1329, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    if (__pyx_t_1) {
      __Pyx_GIVEREF(__pyx_t_1); PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_1); __pyx_t_1 = NULL;
    }
    __Pyx_INCREF(__pyx_v_curve1);
    __Pyx_GIVEREF(__pyx_v_curve1);
    PyTuple_SET_ITEM(__pyx_t_3, 0+__pyx_t_6, __pyx_v_curve1);
    __Pyx_INCREF(__pyx_float_0_5);
    __Pyx_GIVEREF(__pyx_float_0_5);
    PyTuple_SET_ITEM(__pyx_t_3, 1+__pyx_t_6, __pyx_float_0_5);
    __pyx_t_7 = __Pyx_PyObject_Call(__pyx_t_2, __pyx_t_3, NULL); 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_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  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 != 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_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, 1329, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_3 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1329, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    #endif
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
  } else {
    Py_ssize_t index = -1;
    __pyx_t_1 = PyObject_GetIter(__pyx_t_7); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1329, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    __pyx_t_8 = Py_TYPE(__pyx_t_1)->tp_iternext;
    index = 0; __pyx_t_2 = __pyx_t_8(__pyx_t_1); if (unlikely(!__pyx_t_2)) goto __pyx_L11_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_2);
    index = 1; __pyx_t_3 = __pyx_t_8(__pyx_t_1); if (unlikely(!__pyx_t_3)) goto __pyx_L11_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_3);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_8(__pyx_t_1), 2) < 0) __PYX_ERR(0, 1329, __pyx_L1_error)
    __pyx_t_8 = NULL;
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    goto __pyx_L12_unpacking_done;
    __pyx_L11_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 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_3;
  __pyx_t_3 = 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_7 = __Pyx_GetItemInt(__pyx_v_range1, 0, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1330, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_7);
  __pyx_t_3 = __pyx_pf_9fontTools_4misc_11bezierTools_28_curve_curve_intersections_t_midpoint(__pyx_v_midpoint, __pyx_v_range1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1330, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __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_7);
  PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_t_7);
  __Pyx_GIVEREF(__pyx_t_3);
  PyTuple_SET_ITEM(__pyx_t_2, 1, __pyx_t_3);
  __pyx_t_7 = 0;
  __pyx_t_3 = 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_3 = __Pyx_GetItemInt(__pyx_v_range1, 1, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1331, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_7 = PyTuple_New(2); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1331, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_7);
  __Pyx_GIVEREF(__pyx_t_2);
  PyTuple_SET_ITEM(__pyx_t_7, 0, __pyx_t_2);
  __Pyx_GIVEREF(__pyx_t_3);
  PyTuple_SET_ITEM(__pyx_t_7, 1, __pyx_t_3);
  __pyx_t_2 = 0;
  __pyx_t_3 = 0;
  __pyx_v_c12_range = ((PyObject*)__pyx_t_7);
  __pyx_t_7 = 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_3, __pyx_n_s_split_segment_at_t); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1333, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_2 = NULL;
  __pyx_t_6 = 0;
  if (CYTHON_UNPACK_METHODS && 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;
    }
  }
  #if CYTHON_FAST_PYCALL
  if (PyFunction_Check(__pyx_t_3)) {
    PyObject *__pyx_temp[3] = {__pyx_t_2, __pyx_v_curve2, __pyx_float_0_5};
    __pyx_t_7 = __Pyx_PyFunction_FastCall(__pyx_t_3, __pyx_temp+1-__pyx_t_6, 2+__pyx_t_6); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1333, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_GOTREF(__pyx_t_7);
  } else
  #endif
  #if CYTHON_FAST_PYCCALL
  if (__Pyx_PyFastCFunction_Check(__pyx_t_3)) {
    PyObject *__pyx_temp[3] = {__pyx_t_2, __pyx_v_curve2, __pyx_float_0_5};
    __pyx_t_7 = __Pyx_PyCFunction_FastCall(__pyx_t_3, __pyx_temp+1-__pyx_t_6, 2+__pyx_t_6); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1333, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_GOTREF(__pyx_t_7);
  } else
  #endif
  {
    __pyx_t_1 = PyTuple_New(2+__pyx_t_6); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1333, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    if (__pyx_t_2) {
      __Pyx_GIVEREF(__pyx_t_2); PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_t_2); __pyx_t_2 = NULL;
    }
    __Pyx_INCREF(__pyx_v_curve2);
    __Pyx_GIVEREF(__pyx_v_curve2);
    PyTuple_SET_ITEM(__pyx_t_1, 0+__pyx_t_6, __pyx_v_curve2);
    __Pyx_INCREF(__pyx_float_0_5);
    __Pyx_GIVEREF(__pyx_float_0_5);
    PyTuple_SET_ITEM(__pyx_t_1, 1+__pyx_t_6, __pyx_float_0_5);
    __pyx_t_7 = __Pyx_PyObject_Call(__pyx_t_3, __pyx_t_1, NULL); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1333, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  }
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  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 != 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_3 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_1 = PyTuple_GET_ITEM(sequence, 1); 
    } else {
      __pyx_t_3 = PyList_GET_ITEM(sequence, 0); 
      __pyx_t_1 = PyList_GET_ITEM(sequence, 1); 
    }
    __Pyx_INCREF(__pyx_t_3);
    __Pyx_INCREF(__pyx_t_1);
    #else
    __pyx_t_3 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1333, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_1 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1333, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    #endif
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
  } else {
    Py_ssize_t index = -1;
    __pyx_t_2 = PyObject_GetIter(__pyx_t_7); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1333, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    __pyx_t_8 = Py_TYPE(__pyx_t_2)->tp_iternext;
    index = 0; __pyx_t_3 = __pyx_t_8(__pyx_t_2); if (unlikely(!__pyx_t_3)) goto __pyx_L13_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_3);
    index = 1; __pyx_t_1 = __pyx_t_8(__pyx_t_2); if (unlikely(!__pyx_t_1)) goto __pyx_L13_unpacking_failed;
    __Pyx_GOTREF(__pyx_t_1);
    if (__Pyx_IternextUnpackEndCheck(__pyx_t_8(__pyx_t_2), 2) < 0) __PYX_ERR(0, 1333, __pyx_L1_error)
    __pyx_t_8 = NULL;
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    goto __pyx_L14_unpacking_done;
    __pyx_L13_unpacking_failed:;
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 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_3;
  __pyx_t_3 = 0;
  __pyx_v_c22 = __pyx_t_1;
  __pyx_t_1 = 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_7 = __Pyx_GetItemInt(__pyx_v_range2, 0, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1334, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_7);
  __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, 1334, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_3 = PyTuple_New(2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1334, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_GIVEREF(__pyx_t_7);
  PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_7);
  __Pyx_GIVEREF(__pyx_t_1);
  PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_t_1);
  __pyx_t_7 = 0;
  __pyx_t_1 = 0;
  __pyx_v_c21_range = ((PyObject*)__pyx_t_3);
  __pyx_t_3 = 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_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, 1335, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_1 = __Pyx_GetItemInt(__pyx_v_range2, 1, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1335, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_7 = PyTuple_New(2); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1335, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_7);
  __Pyx_GIVEREF(__pyx_t_3);
  PyTuple_SET_ITEM(__pyx_t_7, 0, __pyx_t_3);
  __Pyx_GIVEREF(__pyx_t_1);
  PyTuple_SET_ITEM(__pyx_t_7, 1, __pyx_t_1);
  __pyx_t_3 = 0;
  __pyx_t_1 = 0;
  __pyx_v_c22_range = ((PyObject*)__pyx_t_7);
  __pyx_t_7 = 0;

  /* "fontTools/misc/bezierTools.py":1337
 *     c22_range = (midpoint(range2), range2[1])
 * 
 *     found = []             # <<<<<<<<<<<<<<
 *     found.extend(
 *         _curve_curve_intersections_t(
 */
  __pyx_t_7 = PyList_New(0); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1337, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_7);
  __pyx_v_found = ((PyObject*)__pyx_t_7);
  __pyx_t_7 = 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_7, __pyx_n_s_curve_curve_intersections_t); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1339, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_7);

  /* "fontTools/misc/bezierTools.py":1340
 *     found.extend(
 *         _curve_curve_intersections_t(
 *             c11, c21, precision, range1=c11_range, range2=c21_range             # <<<<<<<<<<<<<<
 *         )
 *     )
 */
  __pyx_t_1 = PyTuple_New(3); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1339, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_INCREF(__pyx_v_c11);
  __Pyx_GIVEREF(__pyx_v_c11);
  PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_v_c11);
  __Pyx_INCREF(__pyx_v_c21);
  __Pyx_GIVEREF(__pyx_v_c21);
  PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_v_c21);
  __Pyx_INCREF(__pyx_cur_scope->__pyx_v_precision);
  __Pyx_GIVEREF(__pyx_cur_scope->__pyx_v_precision);
  PyTuple_SET_ITEM(__pyx_t_1, 2, __pyx_cur_scope->__pyx_v_precision);
  __pyx_t_3 = __Pyx_PyDict_NewPresized(2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1340, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  if (PyDict_SetItem(__pyx_t_3, __pyx_n_s_range1, __pyx_v_c11_range) < 0) __PYX_ERR(0, 1340, __pyx_L1_error)
  if (PyDict_SetItem(__pyx_t_3, __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_2 = __Pyx_PyObject_Call(__pyx_t_7, __pyx_t_1, __pyx_t_3); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1339, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 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_2); if (unlikely(__pyx_t_9 == ((int)-1))) __PYX_ERR(0, 1338, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 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_2, __pyx_n_s_curve_curve_intersections_t); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1344, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);

  /* "fontTools/misc/bezierTools.py":1345
 *     found.extend(
 *         _curve_curve_intersections_t(
 *             c12, c21, precision, range1=c12_range, range2=c21_range             # <<<<<<<<<<<<<<
 *         )
 *     )
 */
  __pyx_t_3 = PyTuple_New(3); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1344, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_INCREF(__pyx_v_c12);
  __Pyx_GIVEREF(__pyx_v_c12);
  PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_v_c12);
  __Pyx_INCREF(__pyx_v_c21);
  __Pyx_GIVEREF(__pyx_v_c21);
  PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_v_c21);
  __Pyx_INCREF(__pyx_cur_scope->__pyx_v_precision);
  __Pyx_GIVEREF(__pyx_cur_scope->__pyx_v_precision);
  PyTuple_SET_ITEM(__pyx_t_3, 2, __pyx_cur_scope->__pyx_v_precision);
  __pyx_t_1 = __Pyx_PyDict_NewPresized(2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1345, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  if (PyDict_SetItem(__pyx_t_1, __pyx_n_s_range1, __pyx_v_c12_range) < 0) __PYX_ERR(0, 1345, __pyx_L1_error)
  if (PyDict_SetItem(__pyx_t_1, __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_7 = __Pyx_PyObject_Call(__pyx_t_2, __pyx_t_3, __pyx_t_1); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1344, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_7);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 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_7); if (unlikely(__pyx_t_9 == ((int)-1))) __PYX_ERR(0, 1343, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 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_7, __pyx_n_s_curve_curve_intersections_t); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1349, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_7);

  /* "fontTools/misc/bezierTools.py":1350
 *     found.extend(
 *         _curve_curve_intersections_t(
 *             c11, c22, precision, range1=c11_range, range2=c22_range             # <<<<<<<<<<<<<<
 *         )
 *     )
 */
  __pyx_t_1 = PyTuple_New(3); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1349, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_INCREF(__pyx_v_c11);
  __Pyx_GIVEREF(__pyx_v_c11);
  PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_v_c11);
  __Pyx_INCREF(__pyx_v_c22);
  __Pyx_GIVEREF(__pyx_v_c22);
  PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_v_c22);
  __Pyx_INCREF(__pyx_cur_scope->__pyx_v_precision);
  __Pyx_GIVEREF(__pyx_cur_scope->__pyx_v_precision);
  PyTuple_SET_ITEM(__pyx_t_1, 2, __pyx_cur_scope->__pyx_v_precision);
  __pyx_t_3 = __Pyx_PyDict_NewPresized(2); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1350, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  if (PyDict_SetItem(__pyx_t_3, __pyx_n_s_range1, __pyx_v_c11_range) < 0) __PYX_ERR(0, 1350, __pyx_L1_error)
  if (PyDict_SetItem(__pyx_t_3, __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_2 = __Pyx_PyObject_Call(__pyx_t_7, __pyx_t_1, __pyx_t_3); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1349, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 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_2); if (unlikely(__pyx_t_9 == ((int)-1))) __PYX_ERR(0, 1348, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 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_2, __pyx_n_s_curve_curve_intersections_t); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1354, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);

  /* "fontTools/misc/bezierTools.py":1355
 *     found.extend(
 *         _curve_curve_intersections_t(
 *             c12, c22, precision, range1=c12_range, range2=c22_range             # <<<<<<<<<<<<<<
 *         )
 *     )
 */
  __pyx_t_3 = PyTuple_New(3); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1354, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_INCREF(__pyx_v_c12);
  __Pyx_GIVEREF(__pyx_v_c12);
  PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_v_c12);
  __Pyx_INCREF(__pyx_v_c22);
  __Pyx_GIVEREF(__pyx_v_c22);
  PyTuple_SET_ITEM(__pyx_t_3, 1, __pyx_v_c22);
  __Pyx_INCREF(__pyx_cur_scope->__pyx_v_precision);
  __Pyx_GIVEREF(__pyx_cur_scope->__pyx_v_precision);
  PyTuple_SET_ITEM(__pyx_t_3, 2, __pyx_cur_scope->__pyx_v_precision);
  __pyx_t_1 = __Pyx_PyDict_NewPresized(2); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1355, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  if (PyDict_SetItem(__pyx_t_1, __pyx_n_s_range1, __pyx_v_c12_range) < 0) __PYX_ERR(0, 1355, __pyx_L1_error)
  if (PyDict_SetItem(__pyx_t_1, __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_7 = __Pyx_PyObject_Call(__pyx_t_2, __pyx_t_3, __pyx_t_1); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1354, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_7);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 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_7); if (unlikely(__pyx_t_9 == ((int)-1))) __PYX_ERR(0, 1353, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;

  /* "fontTools/misc/bezierTools.py":1359
 *     )
 * 
 *     unique_key = lambda ts: (int(ts[0] / precision), int(ts[1] / precision))             # <<<<<<<<<<<<<<
 *     seen = set()
 *     unique_values = []
 */
  __pyx_t_7 = __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_7)) __PYX_ERR(0, 1359, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_7);
  __pyx_v_unique_key = __pyx_t_7;
  __pyx_t_7 = 0;

  /* "fontTools/misc/bezierTools.py":1360
 * 
 *     unique_key = lambda ts: (int(ts[0] / precision), int(ts[1] / precision))
 *     seen = set()             # <<<<<<<<<<<<<<
 *     unique_values = []
 * 
 */
  __pyx_t_7 = PySet_New(0); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1360, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_7);
  __pyx_v_seen = ((PyObject*)__pyx_t_7);
  __pyx_t_7 = 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_7 = PyList_New(0); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1361, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_7);
  __pyx_v_unique_values = ((PyObject*)__pyx_t_7);
  __pyx_t_7 = 0;

  /* "fontTools/misc/bezierTools.py":1363
 *     unique_values = []
 * 
 *     for ts in found:             # <<<<<<<<<<<<<<
 *         key = unique_key(ts)
 *         if key in seen:
 */
  __pyx_t_7 = __pyx_v_found; __Pyx_INCREF(__pyx_t_7); __pyx_t_10 = 0;
  for (;;) {
    if (__pyx_t_10 >= PyList_GET_SIZE(__pyx_t_7)) break;
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    __pyx_t_1 = PyList_GET_ITEM(__pyx_t_7, __pyx_t_10); __Pyx_INCREF(__pyx_t_1); __pyx_t_10++; if (unlikely(0 < 0)) __PYX_ERR(0, 1363, __pyx_L1_error)
    #else
    __pyx_t_1 = PySequence_ITEM(__pyx_t_7, __pyx_t_10); __pyx_t_10++; if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1363, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    #endif
    __Pyx_XDECREF_SET(__pyx_v_ts, __pyx_t_1);
    __pyx_t_1 = 0;

    /* "fontTools/misc/bezierTools.py":1364
 * 
 *     for ts in found:
 *         key = unique_key(ts)             # <<<<<<<<<<<<<<
 *         if key in seen:
 *             continue
 */
    __pyx_t_1 = __pyx_lambda_funcdef_lambda3(__pyx_v_unique_key, __pyx_v_ts); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1364, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_XDECREF_SET(__pyx_v_key, __pyx_t_1);
    __pyx_t_1 = 0;

    /* "fontTools/misc/bezierTools.py":1365
 *     for ts in found:
 *         key = unique_key(ts)
 *         if key in seen:             # <<<<<<<<<<<<<<
 *             continue
 *         seen.add(key)
 */
    __pyx_t_5 = (__Pyx_PySet_ContainsTF(__pyx_v_key, __pyx_v_seen, Py_EQ)); if (unlikely(__pyx_t_5 < 0)) __PYX_ERR(0, 1365, __pyx_L1_error)
    __pyx_t_4 = (__pyx_t_5 != 0);
    if (__pyx_t_4) {

      /* "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_7); __pyx_t_7 = 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 curveCurveIntersections(curve1, curve2):             # <<<<<<<<<<<<<<
 *     """Finds intersections between a curve and a curve.
 * 
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_87curveCurveIntersections(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __pyx_doc_9fontTools_4misc_11bezierTools_86curveCurveIntersections[] = "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_87curveCurveIntersections = {"curveCurveIntersections", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_87curveCurveIntersections, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_86curveCurveIntersections};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_87curveCurveIntersections(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  PyObject *__pyx_v_curve1 = 0;
  PyObject *__pyx_v_curve2 = 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);
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_curve1,&__pyx_n_s_curve2,0};
    PyObject* values[2] = {0,0};
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_curve1)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_curve2)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("curveCurveIntersections", 1, 2, 2, 1); __PYX_ERR(0, 1373, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "curveCurveIntersections") < 0)) __PYX_ERR(0, 1373, __pyx_L3_error)
      }
    } else if (PyTuple_GET_SIZE(__pyx_args) != 2) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
      values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
    }
    __pyx_v_curve1 = values[0];
    __pyx_v_curve2 = values[1];
  }
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("curveCurveIntersections", 1, 2, 2, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 1373, __pyx_L3_error)
  __pyx_L3_error:;
  __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_86curveCurveIntersections(__pyx_self, __pyx_v_curve1, __pyx_v_curve2);

  /* function exit code */
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_86curveCurveIntersections(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_curve1, PyObject *__pyx_v_curve2) {
  PyObject *__pyx_v_intersection_ts = NULL;
  PyObject *__pyx_8genexpr7__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;
  PyObject *__pyx_t_5 = NULL;
  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", 0);

  /* "fontTools/misc/bezierTools.py":1394
 *         (81.7831487395506, 109.88904552375288)
 *     """
 *     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, 1394, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = NULL;
  __pyx_t_4 = 0;
  if (CYTHON_UNPACK_METHODS && 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;
    }
  }
  #if CYTHON_FAST_PYCALL
  if (PyFunction_Check(__pyx_t_2)) {
    PyObject *__pyx_temp[3] = {__pyx_t_3, __pyx_v_curve1, __pyx_v_curve2};
    __pyx_t_1 = __Pyx_PyFunction_FastCall(__pyx_t_2, __pyx_temp+1-__pyx_t_4, 2+__pyx_t_4); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1394, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_GOTREF(__pyx_t_1);
  } else
  #endif
  #if CYTHON_FAST_PYCCALL
  if (__Pyx_PyFastCFunction_Check(__pyx_t_2)) {
    PyObject *__pyx_temp[3] = {__pyx_t_3, __pyx_v_curve1, __pyx_v_curve2};
    __pyx_t_1 = __Pyx_PyCFunction_FastCall(__pyx_t_2, __pyx_temp+1-__pyx_t_4, 2+__pyx_t_4); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1394, __pyx_L1_error)
    __Pyx_XDECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_GOTREF(__pyx_t_1);
  } else
  #endif
  {
    __pyx_t_5 = PyTuple_New(2+__pyx_t_4); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1394, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    if (__pyx_t_3) {
      __Pyx_GIVEREF(__pyx_t_3); PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_t_3); __pyx_t_3 = NULL;
    }
    __Pyx_INCREF(__pyx_v_curve1);
    __Pyx_GIVEREF(__pyx_v_curve1);
    PyTuple_SET_ITEM(__pyx_t_5, 0+__pyx_t_4, __pyx_v_curve1);
    __Pyx_INCREF(__pyx_v_curve2);
    __Pyx_GIVEREF(__pyx_v_curve2);
    PyTuple_SET_ITEM(__pyx_t_5, 1+__pyx_t_4, __pyx_v_curve2);
    __pyx_t_1 = __Pyx_PyObject_Call(__pyx_t_2, __pyx_t_5, NULL); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1394, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  }
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_v_intersection_ts = __pyx_t_1;
  __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":1395
 *     """
 *     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, 1395, __pyx_L5_error)
    __Pyx_GOTREF(__pyx_t_1);

    /* "fontTools/misc/bezierTools.py":1397
 *     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, 1397, __pyx_L5_error)
      __Pyx_GOTREF(__pyx_t_2);
      __pyx_t_7 = Py_TYPE(__pyx_t_2)->tp_iternext; if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1397, __pyx_L5_error)
    }
    for (;;) {
      if (likely(!__pyx_t_7)) {
        if (likely(PyList_CheckExact(__pyx_t_2))) {
          if (__pyx_t_6 >= PyList_GET_SIZE(__pyx_t_2)) break;
          #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
          __pyx_t_5 = PyList_GET_ITEM(__pyx_t_2, __pyx_t_6); __Pyx_INCREF(__pyx_t_5); __pyx_t_6++; if (unlikely(0 < 0)) __PYX_ERR(0, 1397, __pyx_L5_error)
          #else
          __pyx_t_5 = PySequence_ITEM(__pyx_t_2, __pyx_t_6); __pyx_t_6++; if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1397, __pyx_L5_error)
          __Pyx_GOTREF(__pyx_t_5);
          #endif
        } else {
          if (__pyx_t_6 >= PyTuple_GET_SIZE(__pyx_t_2)) break;
          #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
          __pyx_t_5 = PyTuple_GET_ITEM(__pyx_t_2, __pyx_t_6); __Pyx_INCREF(__pyx_t_5); __pyx_t_6++; if (unlikely(0 < 0)) __PYX_ERR(0, 1397, __pyx_L5_error)
          #else
          __pyx_t_5 = PySequence_ITEM(__pyx_t_2, __pyx_t_6); __pyx_t_6++; if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1397, __pyx_L5_error)
          __Pyx_GOTREF(__pyx_t_5);
          #endif
        }
      } else {
        __pyx_t_5 = __pyx_t_7(__pyx_t_2);
        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, 1397, __pyx_L5_error)
          }
          break;
        }
        __Pyx_GOTREF(__pyx_t_5);
      }
      __Pyx_XDECREF_SET(__pyx_8genexpr7__pyx_v_ts, __pyx_t_5);
      __pyx_t_5 = 0;

      /* "fontTools/misc/bezierTools.py":1396
 *     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_5, __pyx_n_s_Intersection); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1396, __pyx_L5_error)
      __Pyx_GOTREF(__pyx_t_5);
      __pyx_t_3 = __Pyx_PyDict_NewPresized(3); if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1396, __pyx_L5_error)
      __Pyx_GOTREF(__pyx_t_3);
      __Pyx_GetModuleGlobalName(__pyx_t_9, __pyx_n_s_segmentPointAtT); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 1396, __pyx_L5_error)
      __Pyx_GOTREF(__pyx_t_9);
      __pyx_t_10 = __Pyx_GetItemInt(__pyx_8genexpr7__pyx_v_ts, 0, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 1396, __pyx_L5_error)
      __Pyx_GOTREF(__pyx_t_10);
      __pyx_t_11 = NULL;
      __pyx_t_4 = 0;
      if (CYTHON_UNPACK_METHODS && unlikely(PyMethod_Check(__pyx_t_9))) {
        __pyx_t_11 = PyMethod_GET_SELF(__pyx_t_9);
        if (likely(__pyx_t_11)) {
          PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_9);
          __Pyx_INCREF(__pyx_t_11);
          __Pyx_INCREF(function);
          __Pyx_DECREF_SET(__pyx_t_9, function);
          __pyx_t_4 = 1;
        }
      }
      #if CYTHON_FAST_PYCALL
      if (PyFunction_Check(__pyx_t_9)) {
        PyObject *__pyx_temp[3] = {__pyx_t_11, __pyx_v_curve1, __pyx_t_10};
        __pyx_t_8 = __Pyx_PyFunction_FastCall(__pyx_t_9, __pyx_temp+1-__pyx_t_4, 2+__pyx_t_4); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1396, __pyx_L5_error)
        __Pyx_XDECREF(__pyx_t_11); __pyx_t_11 = 0;
        __Pyx_GOTREF(__pyx_t_8);
        __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
      } else
      #endif
      #if CYTHON_FAST_PYCCALL
      if (__Pyx_PyFastCFunction_Check(__pyx_t_9)) {
        PyObject *__pyx_temp[3] = {__pyx_t_11, __pyx_v_curve1, __pyx_t_10};
        __pyx_t_8 = __Pyx_PyCFunction_FastCall(__pyx_t_9, __pyx_temp+1-__pyx_t_4, 2+__pyx_t_4); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1396, __pyx_L5_error)
        __Pyx_XDECREF(__pyx_t_11); __pyx_t_11 = 0;
        __Pyx_GOTREF(__pyx_t_8);
        __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
      } else
      #endif
      {
        __pyx_t_12 = PyTuple_New(2+__pyx_t_4); if (unlikely(!__pyx_t_12)) __PYX_ERR(0, 1396, __pyx_L5_error)
        __Pyx_GOTREF(__pyx_t_12);
        if (__pyx_t_11) {
          __Pyx_GIVEREF(__pyx_t_11); PyTuple_SET_ITEM(__pyx_t_12, 0, __pyx_t_11); __pyx_t_11 = NULL;
        }
        __Pyx_INCREF(__pyx_v_curve1);
        __Pyx_GIVEREF(__pyx_v_curve1);
        PyTuple_SET_ITEM(__pyx_t_12, 0+__pyx_t_4, __pyx_v_curve1);
        __Pyx_GIVEREF(__pyx_t_10);
        PyTuple_SET_ITEM(__pyx_t_12, 1+__pyx_t_4, __pyx_t_10);
        __pyx_t_10 = 0;
        __pyx_t_8 = __Pyx_PyObject_Call(__pyx_t_9, __pyx_t_12, NULL); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1396, __pyx_L5_error)
        __Pyx_GOTREF(__pyx_t_8);
        __Pyx_DECREF(__pyx_t_12); __pyx_t_12 = 0;
      }
      __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
      if (PyDict_SetItem(__pyx_t_3, __pyx_n_s_pt, __pyx_t_8) < 0) __PYX_ERR(0, 1396, __pyx_L5_error)
      __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
      __pyx_t_8 = __Pyx_GetItemInt(__pyx_8genexpr7__pyx_v_ts, 0, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1396, __pyx_L5_error)
      __Pyx_GOTREF(__pyx_t_8);
      if (PyDict_SetItem(__pyx_t_3, __pyx_n_s_t1, __pyx_t_8) < 0) __PYX_ERR(0, 1396, __pyx_L5_error)
      __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
      __pyx_t_8 = __Pyx_GetItemInt(__pyx_8genexpr7__pyx_v_ts, 1, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1396, __pyx_L5_error)
      __Pyx_GOTREF(__pyx_t_8);
      if (PyDict_SetItem(__pyx_t_3, __pyx_n_s_t2, __pyx_t_8) < 0) __PYX_ERR(0, 1396, __pyx_L5_error)
      __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
      __pyx_t_8 = __Pyx_PyObject_Call(__pyx_t_5, __pyx_empty_tuple, __pyx_t_3); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1396, __pyx_L5_error)
      __Pyx_GOTREF(__pyx_t_8);
      __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      if (unlikely(__Pyx_ListComp_Append(__pyx_t_1, (PyObject*)__pyx_t_8))) __PYX_ERR(0, 1395, __pyx_L5_error)
      __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;

      /* "fontTools/misc/bezierTools.py":1397
 *     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_8genexpr7__pyx_v_ts); __pyx_8genexpr7__pyx_v_ts = 0;
    goto __pyx_L8_exit_scope;
    __pyx_L5_error:;
    __Pyx_XDECREF(__pyx_8genexpr7__pyx_v_ts); __pyx_8genexpr7__pyx_v_ts = 0;
    goto __pyx_L1_error;
    __pyx_L8_exit_scope:;
  } /* exit inner scope */
  __pyx_r = __pyx_t_1;
  __pyx_t_1 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":1373
 * 
 * 
 * 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_5);
  __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_intersection_ts);
  __Pyx_XDECREF(__pyx_8genexpr7__pyx_v_ts);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1401
 * 
 * 
 * def segmentSegmentIntersections(seg1, seg2):             # <<<<<<<<<<<<<<
 *     """Finds intersections between two segments.
 * 
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_89segmentSegmentIntersections(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __pyx_doc_9fontTools_4misc_11bezierTools_88segmentSegmentIntersections[] = "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_89segmentSegmentIntersections = {"segmentSegmentIntersections", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_9fontTools_4misc_11bezierTools_89segmentSegmentIntersections, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9fontTools_4misc_11bezierTools_88segmentSegmentIntersections};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_89segmentSegmentIntersections(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  PyObject *__pyx_v_seg1 = 0;
  PyObject *__pyx_v_seg2 = 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);
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_seg1,&__pyx_n_s_seg2,0};
    PyObject* values[2] = {0,0};
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_seg1)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        CYTHON_FALLTHROUGH;
        case  1:
        if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_seg2)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("segmentSegmentIntersections", 1, 2, 2, 1); __PYX_ERR(0, 1401, __pyx_L3_error)
        }
      }
      if (unlikely(kw_args > 0)) {
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "segmentSegmentIntersections") < 0)) __PYX_ERR(0, 1401, __pyx_L3_error)
      }
    } else if (PyTuple_GET_SIZE(__pyx_args) != 2) {
      goto __pyx_L5_argtuple_error;
    } else {
      values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
      values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
    }
    __pyx_v_seg1 = values[0];
    __pyx_v_seg2 = values[1];
  }
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("segmentSegmentIntersections", 1, 2, 2, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 1401, __pyx_L3_error)
  __pyx_L3_error:;
  __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_88segmentSegmentIntersections(__pyx_self, __pyx_v_seg1, __pyx_v_seg2);

  /* function exit code */
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_88segmentSegmentIntersections(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_seg1, PyObject *__pyx_v_seg2) {
  int __pyx_v_swapped;
  PyObject *__pyx_v_intersections = NULL;
  PyObject *__pyx_8genexpr8__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;
  PyObject *__pyx_t_10 = NULL;
  int __pyx_t_11;
  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":1431
 *     """
 *     # Arrange by degree
 *     swapped = False             # <<<<<<<<<<<<<<
 *     if len(seg2) > len(seg1):
 *         seg2, seg1 = seg1, seg2
 */
  __pyx_v_swapped = 0;

  /* "fontTools/misc/bezierTools.py":1432
 *     # 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, 1432, __pyx_L1_error)
  __pyx_t_2 = PyObject_Length(__pyx_v_seg1); if (unlikely(__pyx_t_2 == ((Py_ssize_t)-1))) __PYX_ERR(0, 1432, __pyx_L1_error)
  __pyx_t_3 = ((__pyx_t_1 > __pyx_t_2) != 0);
  if (__pyx_t_3) {

    /* "fontTools/misc/bezierTools.py":1433
 *     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":1434
 *     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":1432
 *     # Arrange by degree
 *     swapped = False
 *     if len(seg2) > len(seg1):             # <<<<<<<<<<<<<<
 *         seg2, seg1 = seg1, seg2
 *         swapped = True
 */
  }

  /* "fontTools/misc/bezierTools.py":1435
 *         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, 1435, __pyx_L1_error)
  __pyx_t_3 = ((__pyx_t_2 > 2) != 0);
  if (__pyx_t_3) {

    /* "fontTools/misc/bezierTools.py":1436
 *         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, 1436, __pyx_L1_error)
    __pyx_t_3 = ((__pyx_t_2 > 2) != 0);
    if (__pyx_t_3) {

      /* "fontTools/misc/bezierTools.py":1437
 *     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, 1437, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_7);
      __pyx_t_8 = NULL;
      __pyx_t_9 = 0;
      if (CYTHON_UNPACK_METHODS && 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;
        }
      }
      #if CYTHON_FAST_PYCALL
      if (PyFunction_Check(__pyx_t_7)) {
        PyObject *__pyx_temp[3] = {__pyx_t_8, __pyx_v_seg1, __pyx_v_seg2};
        __pyx_t_6 = __Pyx_PyFunction_FastCall(__pyx_t_7, __pyx_temp+1-__pyx_t_9, 2+__pyx_t_9); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1437, __pyx_L1_error)
        __Pyx_XDECREF(__pyx_t_8); __pyx_t_8 = 0;
        __Pyx_GOTREF(__pyx_t_6);
      } else
      #endif
      #if CYTHON_FAST_PYCCALL
      if (__Pyx_PyFastCFunction_Check(__pyx_t_7)) {
        PyObject *__pyx_temp[3] = {__pyx_t_8, __pyx_v_seg1, __pyx_v_seg2};
        __pyx_t_6 = __Pyx_PyCFunction_FastCall(__pyx_t_7, __pyx_temp+1-__pyx_t_9, 2+__pyx_t_9); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1437, __pyx_L1_error)
        __Pyx_XDECREF(__pyx_t_8); __pyx_t_8 = 0;
        __Pyx_GOTREF(__pyx_t_6);
      } else
      #endif
      {
        __pyx_t_10 = PyTuple_New(2+__pyx_t_9); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 1437, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_10);
        if (__pyx_t_8) {
          __Pyx_GIVEREF(__pyx_t_8); PyTuple_SET_ITEM(__pyx_t_10, 0, __pyx_t_8); __pyx_t_8 = NULL;
        }
        __Pyx_INCREF(__pyx_v_seg1);
        __Pyx_GIVEREF(__pyx_v_seg1);
        PyTuple_SET_ITEM(__pyx_t_10, 0+__pyx_t_9, __pyx_v_seg1);
        __Pyx_INCREF(__pyx_v_seg2);
        __Pyx_GIVEREF(__pyx_v_seg2);
        PyTuple_SET_ITEM(__pyx_t_10, 1+__pyx_t_9, __pyx_v_seg2);
        __pyx_t_6 = __Pyx_PyObject_Call(__pyx_t_7, __pyx_t_10, NULL); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1437, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_6);
        __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
      }
      __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
      __pyx_v_intersections = __pyx_t_6;
      __pyx_t_6 = 0;

      /* "fontTools/misc/bezierTools.py":1436
 *         swapped = True
 *     if len(seg1) > 2:
 *         if len(seg2) > 2:             # <<<<<<<<<<<<<<
 *             intersections = curveCurveIntersections(seg1, seg2)
 *         else:
 */
      goto __pyx_L5;
    }

    /* "fontTools/misc/bezierTools.py":1439
 *             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, 1439, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_7);
      __pyx_t_10 = NULL;
      __pyx_t_9 = 0;
      if (CYTHON_UNPACK_METHODS && unlikely(PyMethod_Check(__pyx_t_7))) {
        __pyx_t_10 = PyMethod_GET_SELF(__pyx_t_7);
        if (likely(__pyx_t_10)) {
          PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_7);
          __Pyx_INCREF(__pyx_t_10);
          __Pyx_INCREF(function);
          __Pyx_DECREF_SET(__pyx_t_7, function);
          __pyx_t_9 = 1;
        }
      }
      #if CYTHON_FAST_PYCALL
      if (PyFunction_Check(__pyx_t_7)) {
        PyObject *__pyx_temp[3] = {__pyx_t_10, __pyx_v_seg1, __pyx_v_seg2};
        __pyx_t_6 = __Pyx_PyFunction_FastCall(__pyx_t_7, __pyx_temp+1-__pyx_t_9, 2+__pyx_t_9); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1439, __pyx_L1_error)
        __Pyx_XDECREF(__pyx_t_10); __pyx_t_10 = 0;
        __Pyx_GOTREF(__pyx_t_6);
      } else
      #endif
      #if CYTHON_FAST_PYCCALL
      if (__Pyx_PyFastCFunction_Check(__pyx_t_7)) {
        PyObject *__pyx_temp[3] = {__pyx_t_10, __pyx_v_seg1, __pyx_v_seg2};
        __pyx_t_6 = __Pyx_PyCFunction_FastCall(__pyx_t_7, __pyx_temp+1-__pyx_t_9, 2+__pyx_t_9); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1439, __pyx_L1_error)
        __Pyx_XDECREF(__pyx_t_10); __pyx_t_10 = 0;
        __Pyx_GOTREF(__pyx_t_6);
      } else
      #endif
      {
        __pyx_t_8 = PyTuple_New(2+__pyx_t_9); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1439, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_8);
        if (__pyx_t_10) {
          __Pyx_GIVEREF(__pyx_t_10); PyTuple_SET_ITEM(__pyx_t_8, 0, __pyx_t_10); __pyx_t_10 = NULL;
        }
        __Pyx_INCREF(__pyx_v_seg1);
        __Pyx_GIVEREF(__pyx_v_seg1);
        PyTuple_SET_ITEM(__pyx_t_8, 0+__pyx_t_9, __pyx_v_seg1);
        __Pyx_INCREF(__pyx_v_seg2);
        __Pyx_GIVEREF(__pyx_v_seg2);
        PyTuple_SET_ITEM(__pyx_t_8, 1+__pyx_t_9, __pyx_v_seg2);
        __pyx_t_6 = __Pyx_PyObject_Call(__pyx_t_7, __pyx_t_8, NULL); if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1439, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_6);
        __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
      }
      __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":1435
 *         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":1440
 *         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, 1440, __pyx_L1_error)
  __pyx_t_11 = ((__pyx_t_2 == 2) != 0);
  if (__pyx_t_11) {
  } else {
    __pyx_t_3 = __pyx_t_11;
    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, 1440, __pyx_L1_error)
  __pyx_t_11 = ((__pyx_t_2 == 2) != 0);
  __pyx_t_3 = __pyx_t_11;
  __pyx_L6_bool_binop_done:;
  if (likely(__pyx_t_3)) {

    /* "fontTools/misc/bezierTools.py":1441
 *             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, 1441, __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, 1441, __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, 1441, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    __pyx_t_10 = PyNumber_Add(__pyx_t_7, __pyx_t_8); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 1441, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_10);
    __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_10, NULL); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 1441, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_8);
    __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
    __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
    __pyx_v_intersections = __pyx_t_8;
    __pyx_t_8 = 0;

    /* "fontTools/misc/bezierTools.py":1440
 *         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":1443
 *         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, 1443, __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, 1443, __pyx_L1_error)
  }
  __pyx_L4:;

  /* "fontTools/misc/bezierTools.py":1444
 *     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 != 0)) != 0);
  if (__pyx_t_3) {

    /* "fontTools/misc/bezierTools.py":1445
 *         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":1444
 *     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":1446
 *     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, 1446, __pyx_L11_error)
    __Pyx_GOTREF(__pyx_t_8);
    if (likely(PyList_CheckExact(__pyx_v_intersections)) || PyTuple_CheckExact(__pyx_v_intersections)) {
      __pyx_t_10 = __pyx_v_intersections; __Pyx_INCREF(__pyx_t_10); __pyx_t_2 = 0;
      __pyx_t_12 = NULL;
    } else {
      __pyx_t_2 = -1; __pyx_t_10 = PyObject_GetIter(__pyx_v_intersections); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 1446, __pyx_L11_error)
      __Pyx_GOTREF(__pyx_t_10);
      __pyx_t_12 = Py_TYPE(__pyx_t_10)->tp_iternext; if (unlikely(!__pyx_t_12)) __PYX_ERR(0, 1446, __pyx_L11_error)
    }
    for (;;) {
      if (likely(!__pyx_t_12)) {
        if (likely(PyList_CheckExact(__pyx_t_10))) {
          if (__pyx_t_2 >= PyList_GET_SIZE(__pyx_t_10)) break;
          #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
          __pyx_t_6 = PyList_GET_ITEM(__pyx_t_10, __pyx_t_2); __Pyx_INCREF(__pyx_t_6); __pyx_t_2++; if (unlikely(0 < 0)) __PYX_ERR(0, 1446, __pyx_L11_error)
          #else
          __pyx_t_6 = PySequence_ITEM(__pyx_t_10, __pyx_t_2); __pyx_t_2++; if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1446, __pyx_L11_error)
          __Pyx_GOTREF(__pyx_t_6);
          #endif
        } else {
          if (__pyx_t_2 >= PyTuple_GET_SIZE(__pyx_t_10)) break;
          #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
          __pyx_t_6 = PyTuple_GET_ITEM(__pyx_t_10, __pyx_t_2); __Pyx_INCREF(__pyx_t_6); __pyx_t_2++; if (unlikely(0 < 0)) __PYX_ERR(0, 1446, __pyx_L11_error)
          #else
          __pyx_t_6 = PySequence_ITEM(__pyx_t_10, __pyx_t_2); __pyx_t_2++; if (unlikely(!__pyx_t_6)) __PYX_ERR(0, 1446, __pyx_L11_error)
          __Pyx_GOTREF(__pyx_t_6);
          #endif
        }
      } else {
        __pyx_t_6 = __pyx_t_12(__pyx_t_10);
        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, 1446, __pyx_L11_error)
          }
          break;
        }
        __Pyx_GOTREF(__pyx_t_6);
      }
      __Pyx_XDECREF_SET(__pyx_8genexpr8__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, 1446, __pyx_L11_error)
      __Pyx_GOTREF(__pyx_t_6);
      __pyx_t_7 = __Pyx_PyDict_NewPresized(3); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1446, __pyx_L11_error)
      __Pyx_GOTREF(__pyx_t_7);
      __pyx_t_13 = __Pyx_PyObject_GetAttrStr(__pyx_8genexpr8__pyx_v_i, __pyx_n_s_pt); if (unlikely(!__pyx_t_13)) __PYX_ERR(0, 1446, __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, 1446, __pyx_L11_error)
      __Pyx_DECREF(__pyx_t_13); __pyx_t_13 = 0;
      __pyx_t_13 = __Pyx_PyObject_GetAttrStr(__pyx_8genexpr8__pyx_v_i, __pyx_n_s_t2); if (unlikely(!__pyx_t_13)) __PYX_ERR(0, 1446, __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, 1446, __pyx_L11_error)
      __Pyx_DECREF(__pyx_t_13); __pyx_t_13 = 0;
      __pyx_t_13 = __Pyx_PyObject_GetAttrStr(__pyx_8genexpr8__pyx_v_i, __pyx_n_s_t1); if (unlikely(!__pyx_t_13)) __PYX_ERR(0, 1446, __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, 1446, __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, 1446, __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, 1446, __pyx_L11_error)
      __Pyx_DECREF(__pyx_t_13); __pyx_t_13 = 0;
    }
    __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
    __Pyx_XDECREF(__pyx_8genexpr8__pyx_v_i); __pyx_8genexpr8__pyx_v_i = 0;
    goto __pyx_L14_exit_scope;
    __pyx_L11_error:;
    __Pyx_XDECREF(__pyx_8genexpr8__pyx_v_i); __pyx_8genexpr8__pyx_v_i = 0;
    goto __pyx_L1_error;
    __pyx_L14_exit_scope:;
  } /* exit inner scope */
  __pyx_r = __pyx_t_8;
  __pyx_t_8 = 0;
  goto __pyx_L0;

  /* "fontTools/misc/bezierTools.py":1401
 * 
 * 
 * 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_10);
  __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_8genexpr8__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":1449
 * 
 * 
 * def _segmentrepr(obj):             # <<<<<<<<<<<<<<
 *     """
 *     >>> _segmentrepr([1, [2, 3], [], [[2, [3, 4], [0.1, 2.2]]]])
 */

/* Python wrapper */
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_91_segmentrepr(PyObject *__pyx_self, PyObject *__pyx_v_obj); /*proto*/
static char __pyx_doc_9fontTools_4misc_11bezierTools_90_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_91_segmentrepr = {"_segmentrepr", (PyCFunction)__pyx_pw_9fontTools_4misc_11bezierTools_91_segmentrepr, METH_O, __pyx_doc_9fontTools_4misc_11bezierTools_90_segmentrepr};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_91_segmentrepr(PyObject *__pyx_self, PyObject *__pyx_v_obj) {
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("_segmentrepr (wrapper)", 0);
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_90_segmentrepr(__pyx_self, ((PyObject *)__pyx_v_obj));

  /* function exit code */
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}
static PyObject *__pyx_gb_9fontTools_4misc_11bezierTools_12_segmentrepr_2generator5(__pyx_CoroutineObject *__pyx_generator, CYTHON_UNUSED PyThreadState *__pyx_tstate, PyObject *__pyx_sent_value); /* proto */

/* "fontTools/misc/bezierTools.py":1459
 *         return "%g" % obj
 *     else:
 *         return "(%s)" % ", ".join(_segmentrepr(x) for x in it)             # <<<<<<<<<<<<<<
 * 
 * 
 */

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_12_segmentrepr_genexpr(PyObject *__pyx_self) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_10_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_10_genexpr *)__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_10_genexpr(__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_10_genexpr, __pyx_empty_tuple, NULL);
  if (unlikely(!__pyx_cur_scope)) {
    __pyx_cur_scope = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_10_genexpr *)Py_None);
    __Pyx_INCREF(Py_None);
    __PYX_ERR(0, 1459, __pyx_L1_error)
  } else {
    __Pyx_GOTREF(__pyx_cur_scope);
  }
  __pyx_cur_scope->__pyx_outer_scope = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_9__segmentrepr *) __pyx_self;
  __Pyx_INCREF(((PyObject *)__pyx_cur_scope->__pyx_outer_scope));
  __Pyx_GIVEREF(__pyx_cur_scope->__pyx_outer_scope);
  {
    __pyx_CoroutineObject *gen = __Pyx_Generator_New((__pyx_coroutine_body_t) __pyx_gb_9fontTools_4misc_11bezierTools_12_segmentrepr_2generator5, 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, 1459, __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_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_10_genexpr *__pyx_cur_scope = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_10_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_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, 1459, __pyx_L1_error)
  __pyx_r = PyList_New(0); if (unlikely(!__pyx_r)) __PYX_ERR(0, 1459, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_r);
  if (unlikely(!__pyx_cur_scope->__pyx_outer_scope->__pyx_v_it)) { __Pyx_RaiseClosureNameError("it"); __PYX_ERR(0, 1459, __pyx_L1_error) }
  if (likely(PyList_CheckExact(__pyx_cur_scope->__pyx_outer_scope->__pyx_v_it)) || PyTuple_CheckExact(__pyx_cur_scope->__pyx_outer_scope->__pyx_v_it)) {
    __pyx_t_1 = __pyx_cur_scope->__pyx_outer_scope->__pyx_v_it; __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_outer_scope->__pyx_v_it); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1459, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_3 = Py_TYPE(__pyx_t_1)->tp_iternext; if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1459, __pyx_L1_error)
  }
  for (;;) {
    if (likely(!__pyx_t_3)) {
      if (likely(PyList_CheckExact(__pyx_t_1))) {
        if (__pyx_t_2 >= PyList_GET_SIZE(__pyx_t_1)) 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, 1459, __pyx_L1_error)
        #else
        __pyx_t_4 = PySequence_ITEM(__pyx_t_1, __pyx_t_2); __pyx_t_2++; if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1459, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_4);
        #endif
      } else {
        if (__pyx_t_2 >= PyTuple_GET_SIZE(__pyx_t_1)) 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, 1459, __pyx_L1_error)
        #else
        __pyx_t_4 = PySequence_ITEM(__pyx_t_1, __pyx_t_2); __pyx_t_2++; if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1459, __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, 1459, __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, 1459, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __pyx_t_6 = NULL;
    if (CYTHON_UNPACK_METHODS && 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 = (__pyx_t_6) ? __Pyx_PyObject_Call2Args(__pyx_t_5, __pyx_t_6, __pyx_cur_scope->__pyx_v_x) : __Pyx_PyObject_CallOneArg(__pyx_t_5, __pyx_cur_scope->__pyx_v_x);
    __Pyx_XDECREF(__pyx_t_6); __pyx_t_6 = 0;
    if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1459, __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, 1459, __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_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":1449
 * 
 * 
 * def _segmentrepr(obj):             # <<<<<<<<<<<<<<
 *     """
 *     >>> _segmentrepr([1, [2, 3], [], [[2, [3, 4], [0.1, 2.2]]]])
 */

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_90_segmentrepr(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_9__segmentrepr *__pyx_cur_scope;
  PyObject *__pyx_gb_9fontTools_4misc_11bezierTools_12_segmentrepr_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;
  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", 0);
  __pyx_cur_scope = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_9__segmentrepr *)__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_9__segmentrepr(__pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_9__segmentrepr, __pyx_empty_tuple, NULL);
  if (unlikely(!__pyx_cur_scope)) {
    __pyx_cur_scope = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_9__segmentrepr *)Py_None);
    __Pyx_INCREF(Py_None);
    __PYX_ERR(0, 1449, __pyx_L1_error)
  } else {
    __Pyx_GOTREF(__pyx_cur_scope);
  }

  /* "fontTools/misc/bezierTools.py":1454
 *     '(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":1455
 *     """
 *     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, 1455, __pyx_L3_error)
      __Pyx_GOTREF(__pyx_t_4);
      __Pyx_GIVEREF(__pyx_t_4);
      __pyx_cur_scope->__pyx_v_it = __pyx_t_4;
      __pyx_t_4 = 0;

      /* "fontTools/misc/bezierTools.py":1454
 *     '(1, (2, 3), (), ((2, (3, 4), (0.1, 2.2))))'
 *     """
 *     try:             # <<<<<<<<<<<<<<
 *         it = iter(obj)
 *     except TypeError:
 */
    }

    /* "fontTools/misc/bezierTools.py":1459
 *         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(((PyObject*)__pyx_cur_scope)); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1459, __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, 1459, __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, 1459, __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, 1459, __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":1456
 *     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, 1456, __pyx_L5_except_error)
      __Pyx_GOTREF(__pyx_t_5);
      __Pyx_GOTREF(__pyx_t_4);
      __Pyx_GOTREF(__pyx_t_7);

      /* "fontTools/misc/bezierTools.py":1457
 *         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, 1457, __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;
    __pyx_L5_except_error:;

    /* "fontTools/misc/bezierTools.py":1454
 *     '(1, (2, 3), (), ((2, (3, 4), (0.1, 2.2))))'
 *     """
 *     try:             # <<<<<<<<<<<<<<
 *         it = iter(obj)
 *     except TypeError:
 */
    __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":1449
 * 
 * 
 * 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_gb_9fontTools_4misc_11bezierTools_12_segmentrepr_2generator5);
  __Pyx_DECREF(((PyObject *)__pyx_cur_scope));
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "fontTools/misc/bezierTools.py":1462
 * 
 * 
 * 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_93printSegments(PyObject *__pyx_self, PyObject *__pyx_v_segments); /*proto*/
static char __pyx_doc_9fontTools_4misc_11bezierTools_92printSegments[] = "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_93printSegments = {"printSegments", (PyCFunction)__pyx_pw_9fontTools_4misc_11bezierTools_93printSegments, METH_O, __pyx_doc_9fontTools_4misc_11bezierTools_92printSegments};
static PyObject *__pyx_pw_9fontTools_4misc_11bezierTools_93printSegments(PyObject *__pyx_self, PyObject *__pyx_v_segments) {
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("printSegments (wrapper)", 0);
  __pyx_r = __pyx_pf_9fontTools_4misc_11bezierTools_92printSegments(__pyx_self, ((PyObject *)__pyx_v_segments));

  /* function exit code */
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9fontTools_4misc_11bezierTools_92printSegments(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_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("printSegments", 0);

  /* "fontTools/misc/bezierTools.py":1466
 *     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, 1466, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_3 = Py_TYPE(__pyx_t_1)->tp_iternext; if (unlikely(!__pyx_t_3)) __PYX_ERR(0, 1466, __pyx_L1_error)
  }
  for (;;) {
    if (likely(!__pyx_t_3)) {
      if (likely(PyList_CheckExact(__pyx_t_1))) {
        if (__pyx_t_2 >= PyList_GET_SIZE(__pyx_t_1)) 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, 1466, __pyx_L1_error)
        #else
        __pyx_t_4 = PySequence_ITEM(__pyx_t_1, __pyx_t_2); __pyx_t_2++; if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1466, __pyx_L1_error)
        __Pyx_GOTREF(__pyx_t_4);
        #endif
      } else {
        if (__pyx_t_2 >= PyTuple_GET_SIZE(__pyx_t_1)) 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, 1466, __pyx_L1_error)
        #else
        __pyx_t_4 = PySequence_ITEM(__pyx_t_1, __pyx_t_2); __pyx_t_2++; if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1466, __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, 1466, __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":1467
 *     """
 *     for segment in segments:
 *         print(_segmentrepr(segment))             # <<<<<<<<<<<<<<
 * 
 * 
 */
    __Pyx_GetModuleGlobalName(__pyx_t_5, __pyx_n_s_segmentrepr); if (unlikely(!__pyx_t_5)) __PYX_ERR(0, 1467, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_5);
    __pyx_t_6 = NULL;
    if (CYTHON_UNPACK_METHODS && 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 = (__pyx_t_6) ? __Pyx_PyObject_Call2Args(__pyx_t_5, __pyx_t_6, __pyx_v_segment) : __Pyx_PyObject_CallOneArg(__pyx_t_5, __pyx_v_segment);
    __Pyx_XDECREF(__pyx_t_6); __pyx_t_6 = 0;
    if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 1467, __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, 1467, __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":1466
 *     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":1462
 * 
 * 
 * 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;
}

static struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__splitQuadratic *__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct__splitQuadratic[8];
static int __pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct__splitQuadratic = 0;

static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct__splitQuadratic(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  PyObject *o;
  if (CYTHON_COMPILING_IN_CPYTHON && likely((__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct__splitQuadratic > 0) & (t->tp_basicsize == sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__splitQuadratic)))) {
    o = (PyObject*)__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct__splitQuadratic[--__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct__splitQuadratic];
    memset(o, 0, sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__splitQuadratic));
    (void) PyObject_INIT(o, t);
    PyObject_GC_Track(o);
  } else {
    o = (*t->tp_alloc)(t, 0);
    if (unlikely(!o)) return 0;
  }
  return o;
}

static void __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct__splitQuadratic(PyObject *o) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__splitQuadratic *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__splitQuadratic *)o;
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->__pyx_v_solutions);
  if (CYTHON_COMPILING_IN_CPYTHON && ((__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct__splitQuadratic < 8) & (Py_TYPE(o)->tp_basicsize == sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__splitQuadratic)))) {
    __pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct__splitQuadratic[__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct__splitQuadratic++] = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__splitQuadratic *)o);
  } else {
    (*Py_TYPE(o)->tp_free)(o);
  }
}

static int __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct__splitQuadratic(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__splitQuadratic *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__splitQuadratic *)o;
  if (p->__pyx_v_solutions) {
    e = (*v)(p->__pyx_v_solutions, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_9fontTools_4misc_11bezierTools___pyx_scope_struct__splitQuadratic(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__splitQuadratic *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__splitQuadratic *)o;
  tmp = ((PyObject*)p->__pyx_v_solutions);
  p->__pyx_v_solutions = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyTypeObject __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct__splitQuadratic = {
  PyVarObject_HEAD_INIT(0, 0)
  "fontTools.misc.bezierTools.__pyx_scope_struct__splitQuadratic", /*tp_name*/
  sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct__splitQuadratic), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct__splitQuadratic, /*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, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct__splitQuadratic, /*tp_traverse*/
  __pyx_tp_clear_9fontTools_4misc_11bezierTools___pyx_scope_struct__splitQuadratic, /*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*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct__splitQuadratic, /*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
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
  0, /*tp_pypy_flags*/
  #endif
};

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;

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_CPYTHON && likely((__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr > 0) & (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 {
    o = (*t->tp_alloc)(t, 0);
    if (unlikely(!o)) return 0;
  }
  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;
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->__pyx_outer_scope);
  Py_CLEAR(p->__pyx_v_t);
  if (CYTHON_COMPILING_IN_CPYTHON && ((__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr < 8) & (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 {
    (*Py_TYPE(o)->tp_free)(o);
  }
}

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_outer_scope) {
    e = (*v)(((PyObject *)p->__pyx_outer_scope), a); if (e) return e;
  }
  if (p->__pyx_v_t) {
    e = (*v)(p->__pyx_v_t, a); if (e) return e;
  }
  return 0;
}

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, /*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*/
  0, /*tp_dictoffset*/
  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
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
  0, /*tp_pypy_flags*/
  #endif
};

static struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubic *__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubic[8];
static int __pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubic = 0;

static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubic(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  PyObject *o;
  if (CYTHON_COMPILING_IN_CPYTHON && likely((__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubic > 0) & (t->tp_basicsize == sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubic)))) {
    o = (PyObject*)__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubic[--__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubic];
    memset(o, 0, sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubic));
    (void) PyObject_INIT(o, t);
    PyObject_GC_Track(o);
  } else {
    o = (*t->tp_alloc)(t, 0);
    if (unlikely(!o)) return 0;
  }
  return o;
}

static void __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubic(PyObject *o) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubic *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubic *)o;
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->__pyx_v_solutions);
  if (CYTHON_COMPILING_IN_CPYTHON && ((__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubic < 8) & (Py_TYPE(o)->tp_basicsize == sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubic)))) {
    __pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubic[__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubic++] = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubic *)o);
  } else {
    (*Py_TYPE(o)->tp_free)(o);
  }
}

static int __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubic(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubic *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubic *)o;
  if (p->__pyx_v_solutions) {
    e = (*v)(p->__pyx_v_solutions, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubic(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubic *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubic *)o;
  tmp = ((PyObject*)p->__pyx_v_solutions);
  p->__pyx_v_solutions = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyTypeObject __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubic = {
  PyVarObject_HEAD_INIT(0, 0)
  "fontTools.misc.bezierTools.__pyx_scope_struct_2_splitCubic", /*tp_name*/
  sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubic), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubic, /*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, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubic, /*tp_traverse*/
  __pyx_tp_clear_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubic, /*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*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubic, /*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
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
  0, /*tp_pypy_flags*/
  #endif
};

static struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3_genexpr *__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_3_genexpr[8];
static int __pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_3_genexpr = 0;

static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_3_genexpr(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  PyObject *o;
  if (CYTHON_COMPILING_IN_CPYTHON && likely((__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_3_genexpr > 0) & (t->tp_basicsize == sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3_genexpr)))) {
    o = (PyObject*)__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_3_genexpr[--__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_3_genexpr];
    memset(o, 0, sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3_genexpr));
    (void) PyObject_INIT(o, t);
    PyObject_GC_Track(o);
  } else {
    o = (*t->tp_alloc)(t, 0);
    if (unlikely(!o)) return 0;
  }
  return o;
}

static void __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_3_genexpr(PyObject *o) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3_genexpr *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3_genexpr *)o;
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->__pyx_outer_scope);
  Py_CLEAR(p->__pyx_v_t);
  if (CYTHON_COMPILING_IN_CPYTHON && ((__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_3_genexpr < 8) & (Py_TYPE(o)->tp_basicsize == sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3_genexpr)))) {
    __pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_3_genexpr[__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_3_genexpr++] = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3_genexpr *)o);
  } else {
    (*Py_TYPE(o)->tp_free)(o);
  }
}

static int __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_3_genexpr(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3_genexpr *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3_genexpr *)o;
  if (p->__pyx_outer_scope) {
    e = (*v)(((PyObject *)p->__pyx_outer_scope), a); if (e) return e;
  }
  if (p->__pyx_v_t) {
    e = (*v)(p->__pyx_v_t, a); if (e) return e;
  }
  return 0;
}

static PyTypeObject __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_3_genexpr = {
  PyVarObject_HEAD_INIT(0, 0)
  "fontTools.misc.bezierTools.__pyx_scope_struct_3_genexpr", /*tp_name*/
  sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_3_genexpr), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_3_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, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_3_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*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_3_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
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
  0, /*tp_pypy_flags*/
  #endif
};

static struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_splitCubicAtTC *__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_splitCubicAtTC[8];
static int __pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_splitCubicAtTC = 0;

static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_splitCubicAtTC(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  PyObject *o;
  if (CYTHON_COMPILING_IN_CPYTHON && likely((__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_splitCubicAtTC > 0) & (t->tp_basicsize == sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_splitCubicAtTC)))) {
    o = (PyObject*)__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_splitCubicAtTC[--__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_splitCubicAtTC];
    memset(o, 0, sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_splitCubicAtTC));
    (void) PyObject_INIT(o, t);
    PyObject_GC_Track(o);
  } else {
    o = (*t->tp_alloc)(t, 0);
    if (unlikely(!o)) return 0;
  }
  return o;
}

static void __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_splitCubicAtTC(PyObject *o) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_splitCubicAtTC *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_splitCubicAtTC *)o;
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->__pyx_v_ts);
  if (CYTHON_COMPILING_IN_CPYTHON && ((__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_splitCubicAtTC < 8) & (Py_TYPE(o)->tp_basicsize == sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_splitCubicAtTC)))) {
    __pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_splitCubicAtTC[__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_splitCubicAtTC++] = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_splitCubicAtTC *)o);
  } else {
    (*Py_TYPE(o)->tp_free)(o);
  }
}

static int __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_splitCubicAtTC(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_splitCubicAtTC *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_splitCubicAtTC *)o;
  if (p->__pyx_v_ts) {
    e = (*v)(p->__pyx_v_ts, a); if (e) return e;
  }
  return 0;
}

static PyTypeObject __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_splitCubicAtTC = {
  PyVarObject_HEAD_INIT(0, 0)
  "fontTools.misc.bezierTools.__pyx_scope_struct_4_splitCubicAtTC", /*tp_name*/
  sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_splitCubicAtTC), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_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, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_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*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_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
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
  0, /*tp_pypy_flags*/
  #endif
};

static struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__splitCubicAtTC *__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__splitCubicAtTC[8];
static int __pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__splitCubicAtTC = 0;

static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__splitCubicAtTC(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  PyObject *o;
  if (CYTHON_COMPILING_IN_CPYTHON && likely((__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__splitCubicAtTC > 0) & (t->tp_basicsize == sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__splitCubicAtTC)))) {
    o = (PyObject*)__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__splitCubicAtTC[--__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__splitCubicAtTC];
    memset(o, 0, sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__splitCubicAtTC));
    (void) PyObject_INIT(o, t);
    PyObject_GC_Track(o);
  } else {
    o = (*t->tp_alloc)(t, 0);
    if (unlikely(!o)) return 0;
  }
  return o;
}

static void __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__splitCubicAtTC(PyObject *o) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__splitCubicAtTC *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__splitCubicAtTC *)o;
  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_COMPILING_IN_CPYTHON && ((__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__splitCubicAtTC < 8) & (Py_TYPE(o)->tp_basicsize == sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__splitCubicAtTC)))) {
    __pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__splitCubicAtTC[__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__splitCubicAtTC++] = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__splitCubicAtTC *)o);
  } else {
    (*Py_TYPE(o)->tp_free)(o);
  }
}

static int __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__splitCubicAtTC(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__splitCubicAtTC *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__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;
}

static PyTypeObject __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__splitCubicAtTC = {
  PyVarObject_HEAD_INIT(0, 0)
  "fontTools.misc.bezierTools.__pyx_scope_struct_5__splitCubicAtTC", /*tp_name*/
  sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__splitCubicAtTC), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__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, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__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*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__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
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
  0, /*tp_pypy_flags*/
  #endif
};

static struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6__curve_line_intersections_t *__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_6__curve_line_intersections_t[8];
static int __pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_6__curve_line_intersections_t = 0;

static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_6__curve_line_intersections_t(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  PyObject *o;
  if (CYTHON_COMPILING_IN_CPYTHON && likely((__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_6__curve_line_intersections_t > 0) & (t->tp_basicsize == sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6__curve_line_intersections_t)))) {
    o = (PyObject*)__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_6__curve_line_intersections_t[--__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_6__curve_line_intersections_t];
    memset(o, 0, sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6__curve_line_intersections_t));
    (void) PyObject_INIT(o, t);
    PyObject_GC_Track(o);
  } else {
    o = (*t->tp_alloc)(t, 0);
    if (unlikely(!o)) return 0;
  }
  return o;
}

static void __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_6__curve_line_intersections_t(PyObject *o) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6__curve_line_intersections_t *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6__curve_line_intersections_t *)o;
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->__pyx_v_intersections);
  if (CYTHON_COMPILING_IN_CPYTHON && ((__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_6__curve_line_intersections_t < 8) & (Py_TYPE(o)->tp_basicsize == sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6__curve_line_intersections_t)))) {
    __pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_6__curve_line_intersections_t[__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_6__curve_line_intersections_t++] = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6__curve_line_intersections_t *)o);
  } else {
    (*Py_TYPE(o)->tp_free)(o);
  }
}

static int __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_6__curve_line_intersections_t(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6__curve_line_intersections_t *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6__curve_line_intersections_t *)o;
  if (p->__pyx_v_intersections) {
    e = (*v)(p->__pyx_v_intersections, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_9fontTools_4misc_11bezierTools___pyx_scope_struct_6__curve_line_intersections_t(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6__curve_line_intersections_t *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6__curve_line_intersections_t *)o;
  tmp = ((PyObject*)p->__pyx_v_intersections);
  p->__pyx_v_intersections = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyTypeObject __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_6__curve_line_intersections_t = {
  PyVarObject_HEAD_INIT(0, 0)
  "fontTools.misc.bezierTools.__pyx_scope_struct_6__curve_line_intersections_t", /*tp_name*/
  sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_6__curve_line_intersections_t), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_6__curve_line_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, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_6__curve_line_intersections_t, /*tp_traverse*/
  __pyx_tp_clear_9fontTools_4misc_11bezierTools___pyx_scope_struct_6__curve_line_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*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_6__curve_line_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
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
  0, /*tp_pypy_flags*/
  #endif
};

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;

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_CPYTHON && likely((__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr > 0) & (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 {
    o = (*t->tp_alloc)(t, 0);
    if (unlikely(!o)) return 0;
  }
  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;
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->__pyx_outer_scope);
  Py_CLEAR(p->__pyx_v_i);
  if (CYTHON_COMPILING_IN_CPYTHON && ((__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr < 8) & (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 {
    (*Py_TYPE(o)->tp_free)(o);
  }
}

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_outer_scope) {
    e = (*v)(((PyObject *)p->__pyx_outer_scope), a); if (e) return e;
  }
  if (p->__pyx_v_i) {
    e = (*v)(p->__pyx_v_i, a); if (e) return e;
  }
  return 0;
}

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, /*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*/
  0, /*tp_dictoffset*/
  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
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
  0, /*tp_pypy_flags*/
  #endif
};

static struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_8__curve_curve_intersections_t *__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_8__curve_curve_intersections_t[8];
static int __pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_8__curve_curve_intersections_t = 0;

static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_8__curve_curve_intersections_t(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  PyObject *o;
  if (CYTHON_COMPILING_IN_CPYTHON && likely((__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_8__curve_curve_intersections_t > 0) & (t->tp_basicsize == sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_8__curve_curve_intersections_t)))) {
    o = (PyObject*)__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_8__curve_curve_intersections_t[--__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_8__curve_curve_intersections_t];
    memset(o, 0, sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_8__curve_curve_intersections_t));
    (void) PyObject_INIT(o, t);
    PyObject_GC_Track(o);
  } else {
    o = (*t->tp_alloc)(t, 0);
    if (unlikely(!o)) return 0;
  }
  return o;
}

static void __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_8__curve_curve_intersections_t(PyObject *o) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_8__curve_curve_intersections_t *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_8__curve_curve_intersections_t *)o;
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->__pyx_v_precision);
  if (CYTHON_COMPILING_IN_CPYTHON && ((__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_8__curve_curve_intersections_t < 8) & (Py_TYPE(o)->tp_basicsize == sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_8__curve_curve_intersections_t)))) {
    __pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_8__curve_curve_intersections_t[__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_8__curve_curve_intersections_t++] = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_8__curve_curve_intersections_t *)o);
  } else {
    (*Py_TYPE(o)->tp_free)(o);
  }
}

static int __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_8__curve_curve_intersections_t(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_8__curve_curve_intersections_t *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_8__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_8__curve_curve_intersections_t(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_8__curve_curve_intersections_t *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_8__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;
}

static PyTypeObject __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_8__curve_curve_intersections_t = {
  PyVarObject_HEAD_INIT(0, 0)
  "fontTools.misc.bezierTools.__pyx_scope_struct_8__curve_curve_intersections_t", /*tp_name*/
  sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_8__curve_curve_intersections_t), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_8__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, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_8__curve_curve_intersections_t, /*tp_traverse*/
  __pyx_tp_clear_9fontTools_4misc_11bezierTools___pyx_scope_struct_8__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*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_8__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
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
  0, /*tp_pypy_flags*/
  #endif
};

static struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_9__segmentrepr *__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_9__segmentrepr[8];
static int __pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_9__segmentrepr = 0;

static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_9__segmentrepr(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  PyObject *o;
  if (CYTHON_COMPILING_IN_CPYTHON && likely((__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_9__segmentrepr > 0) & (t->tp_basicsize == sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_9__segmentrepr)))) {
    o = (PyObject*)__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_9__segmentrepr[--__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_9__segmentrepr];
    memset(o, 0, sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_9__segmentrepr));
    (void) PyObject_INIT(o, t);
    PyObject_GC_Track(o);
  } else {
    o = (*t->tp_alloc)(t, 0);
    if (unlikely(!o)) return 0;
  }
  return o;
}

static void __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_9__segmentrepr(PyObject *o) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_9__segmentrepr *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_9__segmentrepr *)o;
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->__pyx_v_it);
  if (CYTHON_COMPILING_IN_CPYTHON && ((__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_9__segmentrepr < 8) & (Py_TYPE(o)->tp_basicsize == sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_9__segmentrepr)))) {
    __pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_9__segmentrepr[__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_9__segmentrepr++] = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_9__segmentrepr *)o);
  } else {
    (*Py_TYPE(o)->tp_free)(o);
  }
}

static int __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_9__segmentrepr(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_9__segmentrepr *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_9__segmentrepr *)o;
  if (p->__pyx_v_it) {
    e = (*v)(p->__pyx_v_it, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_9fontTools_4misc_11bezierTools___pyx_scope_struct_9__segmentrepr(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_9__segmentrepr *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_9__segmentrepr *)o;
  tmp = ((PyObject*)p->__pyx_v_it);
  p->__pyx_v_it = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyTypeObject __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_9__segmentrepr = {
  PyVarObject_HEAD_INIT(0, 0)
  "fontTools.misc.bezierTools.__pyx_scope_struct_9__segmentrepr", /*tp_name*/
  sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_9__segmentrepr), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_9__segmentrepr, /*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, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_9__segmentrepr, /*tp_traverse*/
  __pyx_tp_clear_9fontTools_4misc_11bezierTools___pyx_scope_struct_9__segmentrepr, /*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*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_9__segmentrepr, /*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
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
  0, /*tp_pypy_flags*/
  #endif
};

static struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_10_genexpr *__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_10_genexpr[8];
static int __pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_10_genexpr = 0;

static PyObject *__pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_10_genexpr(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  PyObject *o;
  if (CYTHON_COMPILING_IN_CPYTHON && likely((__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_10_genexpr > 0) & (t->tp_basicsize == sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_10_genexpr)))) {
    o = (PyObject*)__pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_10_genexpr[--__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_10_genexpr];
    memset(o, 0, sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_10_genexpr));
    (void) PyObject_INIT(o, t);
    PyObject_GC_Track(o);
  } else {
    o = (*t->tp_alloc)(t, 0);
    if (unlikely(!o)) return 0;
  }
  return o;
}

static void __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_10_genexpr(PyObject *o) {
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_10_genexpr *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_10_genexpr *)o;
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->__pyx_outer_scope);
  Py_CLEAR(p->__pyx_v_x);
  if (CYTHON_COMPILING_IN_CPYTHON && ((__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_10_genexpr < 8) & (Py_TYPE(o)->tp_basicsize == sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_10_genexpr)))) {
    __pyx_freelist_9fontTools_4misc_11bezierTools___pyx_scope_struct_10_genexpr[__pyx_freecount_9fontTools_4misc_11bezierTools___pyx_scope_struct_10_genexpr++] = ((struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_10_genexpr *)o);
  } else {
    (*Py_TYPE(o)->tp_free)(o);
  }
}

static int __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_10_genexpr(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_10_genexpr *p = (struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_10_genexpr *)o;
  if (p->__pyx_outer_scope) {
    e = (*v)(((PyObject *)p->__pyx_outer_scope), a); if (e) return e;
  }
  if (p->__pyx_v_x) {
    e = (*v)(p->__pyx_v_x, a); if (e) return e;
  }
  return 0;
}

static PyTypeObject __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_10_genexpr = {
  PyVarObject_HEAD_INIT(0, 0)
  "fontTools.misc.bezierTools.__pyx_scope_struct_10_genexpr", /*tp_name*/
  sizeof(struct __pyx_obj_9fontTools_4misc_11bezierTools___pyx_scope_struct_10_genexpr), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_9fontTools_4misc_11bezierTools___pyx_scope_struct_10_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, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_9fontTools_4misc_11bezierTools___pyx_scope_struct_10_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*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_9fontTools_4misc_11bezierTools___pyx_scope_struct_10_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
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
  0, /*tp_pypy_flags*/
  #endif
};

static PyMethodDef __pyx_methods[] = {
  {0, 0, 0, 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

static struct PyModuleDef __pyx_moduledef = {
    PyModuleDef_HEAD_INIT,
    "bezierTools",
    __pyx_k_fontTools_misc_bezierTools_py_to, /* m_doc */
  #if CYTHON_PEP489_MULTI_PHASE_INIT
    0, /* 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
    NULL, /* m_traverse */
    NULL, /* m_clear */
    NULL /* m_free */
};
#endif
#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

static __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__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_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_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_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_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_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_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_isclose, __pyx_k_isclose, sizeof(__pyx_k_isclose), 0, 0, 1, 1},
  {&__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_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_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_1449, __pyx_k_segmentrepr_line_1449, sizeof(__pyx_k_segmentrepr_line_1449), 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_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}
};
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, 1456, __pyx_L1_error)
  __pyx_builtin_print = __Pyx_GetBuiltinName(__pyx_n_s_print); if (!__pyx_builtin_print) __PYX_ERR(0, 1467, __pyx_L1_error)
  return 0;
  __pyx_L1_error:;
  return -1;
}

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, 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":1443
 *         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, 1443, __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__10 = 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__10)) __PYX_ERR(0, 56, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__10);
  __Pyx_GIVEREF(__pyx_tuple__10);
  __pyx_codeobj__11 = (PyObject*)__Pyx_PyCode_New(5, 0, 5, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__10, __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__11)) __PYX_ERR(0, 56, __pyx_L1_error)
  __pyx_tuple__12 = PyTuple_Pack(1, ((PyObject*)__pyx_float_0_005)); if (unlikely(!__pyx_tuple__12)) __PYX_ERR(0, 56, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__12);
  __Pyx_GIVEREF(__pyx_tuple__12);

  /* "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__13 = 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__13)) __PYX_ERR(0, 75, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__13);
  __Pyx_GIVEREF(__pyx_tuple__13);
  __pyx_codeobj__14 = (PyObject*)__Pyx_PyCode_New(4, 0, 6, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__13, __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__14)) __PYX_ERR(0, 75, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":92
 * )
 * @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)
 */
  __pyx_tuple__15 = 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__15)) __PYX_ERR(0, 92, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__15);
  __Pyx_GIVEREF(__pyx_tuple__15);
  __pyx_codeobj__16 = (PyObject*)__Pyx_PyCode_New(5, 0, 9, 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_calcCubicArcLengthCRecurse, 92, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__16)) __PYX_ERR(0, 92, __pyx_L1_error)

  /* "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_tuple__17 = 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__17)) __PYX_ERR(0, 115, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__17);
  __Pyx_GIVEREF(__pyx_tuple__17);
  __pyx_codeobj__18 = (PyObject*)__Pyx_PyCode_New(5, 0, 6, 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_calcCubicArcLengthC, 115, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__18)) __PYX_ERR(0, 115, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":151
 * 
 * 
 * def calcQuadraticArcLength(pt1, pt2, pt3):             # <<<<<<<<<<<<<<
 *     """Calculates the arc length for a quadratic Bezier segment.
 * 
 */
  __pyx_tuple__19 = PyTuple_Pack(3, __pyx_n_s_pt1, __pyx_n_s_pt2, __pyx_n_s_pt3); if (unlikely(!__pyx_tuple__19)) __PYX_ERR(0, 151, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__19);
  __Pyx_GIVEREF(__pyx_tuple__19);
  __pyx_codeobj__20 = (PyObject*)__Pyx_PyCode_New(3, 0, 3, 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_calcQuadraticArcLength, 151, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__20)) __PYX_ERR(0, 151, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":205
 *     Len=cython.double,
 * )
 * def calcQuadraticArcLengthC(pt1, pt2, pt3):             # <<<<<<<<<<<<<<
 *     """Calculates the arc length for a quadratic Bezier segment.
 * 
 */
  __pyx_tuple__21 = 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__21)) __PYX_ERR(0, 205, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__21);
  __Pyx_GIVEREF(__pyx_tuple__21);
  __pyx_codeobj__22 = (PyObject*)__Pyx_PyCode_New(3, 0, 14, 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_calcQuadraticArcLengthC, 205, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__22)) __PYX_ERR(0, 205, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":237
 * 
 * 
 * def approximateQuadraticArcLength(pt1, pt2, pt3):             # <<<<<<<<<<<<<<
 *     """Calculates the arc length for a quadratic Bezier segment.
 * 
 */
  __pyx_tuple__23 = PyTuple_Pack(3, __pyx_n_s_pt1, __pyx_n_s_pt2, __pyx_n_s_pt3); if (unlikely(!__pyx_tuple__23)) __PYX_ERR(0, 237, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__23);
  __Pyx_GIVEREF(__pyx_tuple__23);
  __pyx_codeobj__24 = (PyObject*)__Pyx_PyCode_New(3, 0, 3, 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_approximateQuadraticArcLength, 237, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__24)) __PYX_ERR(0, 237, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":265
 *     v2=cython.double,
 * )
 * def approximateQuadraticArcLengthC(pt1, pt2, pt3):             # <<<<<<<<<<<<<<
 *     """Calculates the arc length for a quadratic Bezier segment.
 * 
 */
  __pyx_tuple__25 = 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__25)) __PYX_ERR(0, 265, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__25);
  __Pyx_GIVEREF(__pyx_tuple__25);
  __pyx_codeobj__26 = (PyObject*)__Pyx_PyCode_New(3, 0, 6, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__25, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_approximateQuadraticArcLengthC, 265, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__26)) __PYX_ERR(0, 265, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":298
 * 
 * 
 * def calcQuadraticBounds(pt1, pt2, pt3):             # <<<<<<<<<<<<<<
 *     """Calculates the bounding rectangle for a quadratic Bezier segment.
 * 
 */
  __pyx_tuple__27 = 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__27)) __PYX_ERR(0, 298, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__27);
  __Pyx_GIVEREF(__pyx_tuple__27);
  __pyx_codeobj__28 = (PyObject*)__Pyx_PyCode_New(3, 0, 14, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__27, __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__28)) __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__29 = PyTuple_Pack(4, __pyx_n_s_pt1, __pyx_n_s_pt2, __pyx_n_s_pt3, __pyx_n_s_pt4); if (unlikely(!__pyx_tuple__29)) __PYX_ERR(0, 332, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__29);
  __Pyx_GIVEREF(__pyx_tuple__29);
  __pyx_codeobj__30 = (PyObject*)__Pyx_PyCode_New(4, 0, 4, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__29, __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__30)) __PYX_ERR(0, 332, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":376
 *     v4=cython.double,
 * )
 * def approximateCubicArcLengthC(pt1, pt2, pt3, pt4):             # <<<<<<<<<<<<<<
 *     """Approximates the arc length for a cubic Bezier segment.
 * 
 */
  __pyx_tuple__31 = 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__31)) __PYX_ERR(0, 376, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__31);
  __Pyx_GIVEREF(__pyx_tuple__31);
  __pyx_codeobj__32 = (PyObject*)__Pyx_PyCode_New(4, 0, 9, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__31, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_approximateCubicArcLengthC, 376, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__32)) __PYX_ERR(0, 376, __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__33 = 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__33)) __PYX_ERR(0, 412, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__33);
  __Pyx_GIVEREF(__pyx_tuple__33);
  __pyx_codeobj__34 = (PyObject*)__Pyx_PyCode_New(4, 0, 23, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__33, __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__34)) __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__35 = 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__35)) __PYX_ERR(0, 450, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__35);
  __Pyx_GIVEREF(__pyx_tuple__35);
  __pyx_codeobj__36 = (PyObject*)__Pyx_PyCode_New(4, 0, 15, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__35, __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__36)) __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__37 = 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__37)) __PYX_ERR(0, 507, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__37);
  __Pyx_GIVEREF(__pyx_tuple__37);
  __pyx_codeobj__38 = (PyObject*)__Pyx_PyCode_New(5, 0, 11, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__37, __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__38)) __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__39 = 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__39)) __PYX_ERR(0, 552, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__39);
  __Pyx_GIVEREF(__pyx_tuple__39);
  __pyx_codeobj__40 = (PyObject*)__Pyx_PyCode_New(6, 0, 13, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__39, __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__40)) __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__41 = 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__41)) __PYX_ERR(0, 589, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__41);
  __Pyx_GIVEREF(__pyx_tuple__41);
  __pyx_codeobj__42 = (PyObject*)__Pyx_PyCode_New(3, 0, 7, 0, CO_OPTIMIZED|CO_NEWLOCALS|CO_VARARGS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__41, __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__42)) __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__43 = 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__43)) __PYX_ERR(0, 613, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__43);
  __Pyx_GIVEREF(__pyx_tuple__43);
  __pyx_codeobj__44 = (PyObject*)__Pyx_PyCode_New(4, 0, 9, 0, CO_OPTIMIZED|CO_NEWLOCALS|CO_VARARGS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__43, __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__44)) __PYX_ERR(0, 613, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":647
 *     d=cython.complex,
 * )
 * def splitCubicAtTC(pt1, pt2, pt3, pt4, *ts):             # <<<<<<<<<<<<<<
 *     """Split a cubic Bezier curve at one or more values of t.
 * 
 */
  __pyx_tuple__45 = 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__45)) __PYX_ERR(0, 647, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__45);
  __Pyx_GIVEREF(__pyx_tuple__45);
  __pyx_codeobj_ = (PyObject*)__Pyx_PyCode_New(4, 0, 9, 0, CO_OPTIMIZED|CO_NEWLOCALS|CO_VARARGS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__45, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Lib_fontTools_misc_bezierTools_p, __pyx_n_s_splitCubicAtTC, 647, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj_)) __PYX_ERR(0, 647, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":675
 *     t2=cython.double, _1_t=cython.double, _1_t_2=cython.double, _2_t_1_t=cython.double
 * )
 * def splitCubicIntoTwoAtTC(pt1, pt2, pt3, pt4, t):             # <<<<<<<<<<<<<<
 *     """Split a cubic Bezier curve at t.
 * 
 */
  __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, 675, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__46);
  __Pyx_GIVEREF(__pyx_tuple__46);
  __pyx_codeobj__47 = (PyObject*)__Pyx_PyCode_New(5, 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, 675, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__47)) __PYX_ERR(0, 675, __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, 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, 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":778
 *     d1=cython.complex,
 * )
 * def _splitCubicAtTC(a, b, c, d, *ts):             # <<<<<<<<<<<<<<
 *     ts = list(ts)
 *     ts.insert(0, 0.0)
 */
  __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, 778, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__52);
  __Pyx_GIVEREF(__pyx_tuple__52);
  __pyx_codeobj__3 = (PyObject*)__Pyx_PyCode_New(4, 0, 21, 0, CO_OPTIMIZED|CO_NEWLOCALS|CO_VARARGS, __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, 778, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__3)) __PYX_ERR(0, 778, __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, 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, 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, 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, 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, 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, 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, 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, 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, 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":1096
 * )
 * @cython.locals(t2=cython.double, _1_t=cython.double, _1_t_2=cython.double)
 * def cubicPointAtTC(pt1, pt2, pt3, pt4, t):             # <<<<<<<<<<<<<<
 *     """Finds the point at time `t` on a cubic curve.
 * 
 */
  __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, 1096, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__71);
  __Pyx_GIVEREF(__pyx_tuple__71);
  __pyx_codeobj__72 = (PyObject*)__Pyx_PyCode_New(5, 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, 1096, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__72)) __PYX_ERR(0, 1096, __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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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), ((PyObject *)Py_None), ((PyObject *)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 curveCurveIntersections(curve1, curve2):             # <<<<<<<<<<<<<<
 *     """Finds intersections between a curve and a curve.
 * 
 */
  __pyx_tuple__95 = PyTuple_Pack(4, __pyx_n_s_curve1, __pyx_n_s_curve2, __pyx_n_s_intersection_ts, __pyx_n_s_ts); 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(2, 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_curveCurveIntersections, 1373, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__96)) __PYX_ERR(0, 1373, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":1401
 * 
 * 
 * def segmentSegmentIntersections(seg1, seg2):             # <<<<<<<<<<<<<<
 *     """Finds intersections between two segments.
 * 
 */
  __pyx_tuple__97 = 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__97)) __PYX_ERR(0, 1401, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__97);
  __Pyx_GIVEREF(__pyx_tuple__97);
  __pyx_codeobj__98 = (PyObject*)__Pyx_PyCode_New(2, 0, 5, 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_segmentSegmentIntersections, 1401, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__98)) __PYX_ERR(0, 1401, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":1449
 * 
 * 
 * def _segmentrepr(obj):             # <<<<<<<<<<<<<<
 *     """
 *     >>> _segmentrepr([1, [2, 3], [], [[2, [3, 4], [0.1, 2.2]]]])
 */
  __pyx_tuple__99 = PyTuple_Pack(4, __pyx_n_s_obj, __pyx_n_s_it, __pyx_n_s_genexpr, __pyx_n_s_genexpr); if (unlikely(!__pyx_tuple__99)) __PYX_ERR(0, 1449, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__99);
  __Pyx_GIVEREF(__pyx_tuple__99);
  __pyx_codeobj__100 = (PyObject*)__Pyx_PyCode_New(1, 0, 4, 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_segmentrepr, 1449, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__100)) __PYX_ERR(0, 1449, __pyx_L1_error)

  /* "fontTools/misc/bezierTools.py":1462
 * 
 * 
 * def printSegments(segments):             # <<<<<<<<<<<<<<
 *     """Helper for the doctests, displaying each segment in a list of
 *     segments on a single line as a tuple.
 */
  __pyx_tuple__101 = PyTuple_Pack(2, __pyx_n_s_segments, __pyx_n_s_segment); if (unlikely(!__pyx_tuple__101)) __PYX_ERR(0, 1462, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__101);
  __Pyx_GIVEREF(__pyx_tuple__101);
  __pyx_codeobj__102 = (PyObject*)__Pyx_PyCode_New(1, 0, 2, 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_printSegments, 1462, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__102)) __PYX_ERR(0, 1462, __pyx_L1_error)
  __Pyx_RefNannyFinishContext();
  return 0;
  __pyx_L1_error:;
  __Pyx_RefNannyFinishContext();
  return -1;
}

static CYTHON_SMALL_CODE int __Pyx_InitGlobals(void) {
  if (__Pyx_InitStrings(__pyx_string_tab) < 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;
}

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 (PyType_Ready(&__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct__splitQuadratic) < 0) __PYX_ERR(0, 507, __pyx_L1_error)
  #if PY_VERSION_HEX < 0x030800B1
  __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct__splitQuadratic.tp_print = 0;
  #endif
  if ((CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP) && likely(!__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct__splitQuadratic.tp_dictoffset && __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct__splitQuadratic.tp_getattro == PyObject_GenericGetAttr)) {
    __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct__splitQuadratic.tp_getattro = __Pyx_PyObject_GenericGetAttrNoDict;
  }
  __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct__splitQuadratic = &__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct__splitQuadratic;
  if (PyType_Ready(&__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr) < 0) __PYX_ERR(0, 546, __pyx_L1_error)
  #if PY_VERSION_HEX < 0x030800B1
  __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr.tp_print = 0;
  #endif
  if ((CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP) && likely(!__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr.tp_dictoffset && __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr.tp_getattro == PyObject_GenericGetAttr)) {
    __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr.tp_getattro = __Pyx_PyObject_GenericGetAttrNoDict;
  }
  __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr = &__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_1_genexpr;
  if (PyType_Ready(&__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubic) < 0) __PYX_ERR(0, 552, __pyx_L1_error)
  #if PY_VERSION_HEX < 0x030800B1
  __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubic.tp_print = 0;
  #endif
  if ((CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP) && likely(!__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubic.tp_dictoffset && __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubic.tp_getattro == PyObject_GenericGetAttr)) {
    __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubic.tp_getattro = __Pyx_PyObject_GenericGetAttrNoDict;
  }
  __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubic = &__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_2_splitCubic;
  if (PyType_Ready(&__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_3_genexpr) < 0) __PYX_ERR(0, 583, __pyx_L1_error)
  #if PY_VERSION_HEX < 0x030800B1
  __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_3_genexpr.tp_print = 0;
  #endif
  if ((CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP) && likely(!__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_3_genexpr.tp_dictoffset && __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_3_genexpr.tp_getattro == PyObject_GenericGetAttr)) {
    __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_3_genexpr.tp_getattro = __Pyx_PyObject_GenericGetAttrNoDict;
  }
  __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_3_genexpr = &__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_3_genexpr;
  if (PyType_Ready(&__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_splitCubicAtTC) < 0) __PYX_ERR(0, 647, __pyx_L1_error)
  #if PY_VERSION_HEX < 0x030800B1
  __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_splitCubicAtTC.tp_print = 0;
  #endif
  if ((CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP) && likely(!__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_splitCubicAtTC.tp_dictoffset && __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_splitCubicAtTC.tp_getattro == PyObject_GenericGetAttr)) {
    __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_splitCubicAtTC.tp_getattro = __Pyx_PyObject_GenericGetAttrNoDict;
  }
  __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_splitCubicAtTC = &__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_4_splitCubicAtTC;
  if (PyType_Ready(&__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__splitCubicAtTC) < 0) __PYX_ERR(0, 778, __pyx_L1_error)
  #if PY_VERSION_HEX < 0x030800B1
  __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__splitCubicAtTC.tp_print = 0;
  #endif
  if ((CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP) && likely(!__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__splitCubicAtTC.tp_dictoffset && __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__splitCubicAtTC.tp_getattro == PyObject_GenericGetAttr)) {
    __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__splitCubicAtTC.tp_getattro = __Pyx_PyObject_GenericGetAttrNoDict;
  }
  __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__splitCubicAtTC = &__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_5__splitCubicAtTC;
  if (PyType_Ready(&__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_6__curve_line_intersections_t) < 0) __PYX_ERR(0, 1235, __pyx_L1_error)
  #if PY_VERSION_HEX < 0x030800B1
  __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_6__curve_line_intersections_t.tp_print = 0;
  #endif
  if ((CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP) && likely(!__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_6__curve_line_intersections_t.tp_dictoffset && __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_6__curve_line_intersections_t.tp_getattro == PyObject_GenericGetAttr)) {
    __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_6__curve_line_intersections_t.tp_getattro = __Pyx_PyObject_GenericGetAttrNoDict;
  }
  __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_6__curve_line_intersections_t = &__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_6__curve_line_intersections_t;
  if (PyType_Ready(&__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr) < 0) __PYX_ERR(0, 1245, __pyx_L1_error)
  #if PY_VERSION_HEX < 0x030800B1
  __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr.tp_print = 0;
  #endif
  if ((CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP) && likely(!__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr.tp_dictoffset && __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr.tp_getattro == PyObject_GenericGetAttr)) {
    __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr.tp_getattro = __Pyx_PyObject_GenericGetAttrNoDict;
  }
  __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr = &__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_7_genexpr;
  if (PyType_Ready(&__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_8__curve_curve_intersections_t) < 0) __PYX_ERR(0, 1306, __pyx_L1_error)
  #if PY_VERSION_HEX < 0x030800B1
  __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_8__curve_curve_intersections_t.tp_print = 0;
  #endif
  if ((CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP) && likely(!__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_8__curve_curve_intersections_t.tp_dictoffset && __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_8__curve_curve_intersections_t.tp_getattro == PyObject_GenericGetAttr)) {
    __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_8__curve_curve_intersections_t.tp_getattro = __Pyx_PyObject_GenericGetAttrNoDict;
  }
  __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_8__curve_curve_intersections_t = &__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_8__curve_curve_intersections_t;
  if (PyType_Ready(&__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_9__segmentrepr) < 0) __PYX_ERR(0, 1449, __pyx_L1_error)
  #if PY_VERSION_HEX < 0x030800B1
  __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_9__segmentrepr.tp_print = 0;
  #endif
  if ((CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP) && likely(!__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_9__segmentrepr.tp_dictoffset && __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_9__segmentrepr.tp_getattro == PyObject_GenericGetAttr)) {
    __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_9__segmentrepr.tp_getattro = __Pyx_PyObject_GenericGetAttrNoDict;
  }
  __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_9__segmentrepr = &__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_9__segmentrepr;
  if (PyType_Ready(&__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_10_genexpr) < 0) __PYX_ERR(0, 1459, __pyx_L1_error)
  #if PY_VERSION_HEX < 0x030800B1
  __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_10_genexpr.tp_print = 0;
  #endif
  if ((CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP) && likely(!__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_10_genexpr.tp_dictoffset && __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_10_genexpr.tp_getattro == PyObject_GenericGetAttr)) {
    __pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_10_genexpr.tp_getattro = __Pyx_PyObject_GenericGetAttrNoDict;
  }
  __pyx_ptype_9fontTools_4misc_11bezierTools___pyx_scope_struct_10_genexpr = &__pyx_type_9fontTools_4misc_11bezierTools___pyx_scope_struct_10_genexpr;
  __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;
}


#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;
}
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) {
    PyObject *value = PyObject_GetAttrString(spec, from_name);
    int result = 0;
    if (likely(value)) {
        if (allow_none || value != Py_None) {
            result = PyDict_SetItemString(moddict, to_name, value);
        }
        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, CYTHON_UNUSED PyModuleDef *def) {
    PyObject *module = NULL, *moddict, *modname;
    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;
    moddict = PyModule_GetDict(module);
    if (unlikely(!moddict)) goto bad;
    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
{
  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
  #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() < 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() < 0) __PYX_ERR(0, 1, __pyx_L1_error)
  #endif
  #ifdef __Pyx_FusedFunction_USED
  if (__pyx_FusedFunction_init() < 0) __PYX_ERR(0, 1, __pyx_L1_error)
  #endif
  #ifdef __Pyx_Coroutine_USED
  if (__pyx_Coroutine_init() < 0) __PYX_ERR(0, 1, __pyx_L1_error)
  #endif
  #ifdef __Pyx_Generator_USED
  if (__pyx_Generator_init() < 0) __PYX_ERR(0, 1, __pyx_L1_error)
  #endif
  #ifdef __Pyx_AsyncGen_USED
  if (__pyx_AsyncGen_init() < 0) __PYX_ERR(0, 1, __pyx_L1_error)
  #endif
  #ifdef __Pyx_StopAsyncIteration_USED
  if (__pyx_StopAsyncIteration_init() < 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
  /*--- 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);
  #else
  __pyx_m = PyModule_Create(&__pyx_moduledef);
  #endif
  if (unlikely(!__pyx_m)) __PYX_ERR(0, 1, __pyx_L1_error)
  #endif
  __pyx_d = PyModule_GetDict(__pyx_m); if (unlikely(!__pyx_d)) __PYX_ERR(0, 1, __pyx_L1_error)
  Py_INCREF(__pyx_d);
  __pyx_b = PyImport_AddModule(__Pyx_BUILTIN_MODULE_NAME); if (unlikely(!__pyx_b)) __PYX_ERR(0, 1, __pyx_L1_error)
  Py_INCREF(__pyx_b);
  __pyx_cython_runtime = PyImport_AddModule((char *) "cython_runtime"); if (unlikely(!__pyx_cython_runtime)) __PYX_ERR(0, 1, __pyx_L1_error)
  Py_INCREF(__pyx_cython_runtime);
  if (PyObject_SetAttrString(__pyx_m, "__builtins__", __pyx_b) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
  /*--- Initialize various global constants etc. ---*/
  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_1 = PyList_New(3); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 5, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_INCREF(__pyx_n_s_calcBounds);
  __Pyx_GIVEREF(__pyx_n_s_calcBounds);
  PyList_SET_ITEM(__pyx_t_1, 0, __pyx_n_s_calcBounds);
  __Pyx_INCREF(__pyx_n_s_sectRect);
  __Pyx_GIVEREF(__pyx_n_s_sectRect);
  PyList_SET_ITEM(__pyx_t_1, 1, __pyx_n_s_sectRect);
  __Pyx_INCREF(__pyx_n_s_rectArea);
  __Pyx_GIVEREF(__pyx_n_s_rectArea);
  PyList_SET_ITEM(__pyx_t_1, 2, __pyx_n_s_rectArea);
  __pyx_t_2 = __Pyx_Import(__pyx_n_s_fontTools_misc_arrayTools, __pyx_t_1, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 5, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = __Pyx_ImportFrom(__pyx_t_2, __pyx_n_s_calcBounds); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 5, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_calcBounds, __pyx_t_1) < 0) __PYX_ERR(0, 5, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = __Pyx_ImportFrom(__pyx_t_2, __pyx_n_s_sectRect); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 5, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_sectRect, __pyx_t_1) < 0) __PYX_ERR(0, 5, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = __Pyx_ImportFrom(__pyx_t_2, __pyx_n_s_rectArea); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 5, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_rectArea, __pyx_t_1) < 0) __PYX_ERR(0, 5, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 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_2 = PyList_New(1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 6, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_INCREF(__pyx_n_s_Identity);
  __Pyx_GIVEREF(__pyx_n_s_Identity);
  PyList_SET_ITEM(__pyx_t_2, 0, __pyx_n_s_Identity);
  __pyx_t_1 = __Pyx_Import(__pyx_n_s_fontTools_misc_transform, __pyx_t_2, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 6, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = __Pyx_ImportFrom(__pyx_t_1, __pyx_n_s_Identity); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 6, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_Identity, __pyx_t_2) < 0) __PYX_ERR(0, 6, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 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_1 = __Pyx_Import(__pyx_n_s_math, 0, 0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 7, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_math, __pyx_t_1) < 0) __PYX_ERR(0, 7, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":8
 * from fontTools.misc.transform import Identity
 * import math
 * from collections import namedtuple             # <<<<<<<<<<<<<<
 * 
 * try:
 */
  __pyx_t_1 = PyList_New(1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 8, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_INCREF(__pyx_n_s_namedtuple);
  __Pyx_GIVEREF(__pyx_n_s_namedtuple);
  PyList_SET_ITEM(__pyx_t_1, 0, __pyx_n_s_namedtuple);
  __pyx_t_2 = __Pyx_Import(__pyx_n_s_collections, __pyx_t_1, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 8, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = __Pyx_ImportFrom(__pyx_t_2, __pyx_n_s_namedtuple); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 8, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_namedtuple, __pyx_t_1) < 0) __PYX_ERR(0, 8, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":10
 * from collections import namedtuple
 * 
 * try:             # <<<<<<<<<<<<<<
 *     import cython
 * 
 */
  {
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    __Pyx_ExceptionSave(&__pyx_t_3, &__pyx_t_4, &__pyx_t_5);
    __Pyx_XGOTREF(__pyx_t_3);
    __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_3); __pyx_t_3 = 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_1); __pyx_t_1 = 0;
    __Pyx_XDECREF(__pyx_t_2); __pyx_t_2 = 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_ExceptionMatches(__pyx_builtin_AttributeError) || __Pyx_PyErr_ExceptionMatches(__pyx_builtin_ImportError);
    if (__pyx_t_6) {
      __Pyx_AddTraceback("fontTools.misc.bezierTools", __pyx_clineno, __pyx_lineno, __pyx_filename);
      if (__Pyx_GetException(&__pyx_t_2, &__pyx_t_1, &__pyx_t_7) < 0) __PYX_ERR(0, 14, __pyx_L4_except_error)
      __Pyx_GOTREF(__pyx_t_2);
      __Pyx_GOTREF(__pyx_t_1);
      __Pyx_GOTREF(__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);
      PyList_SET_ITEM(__pyx_t_8, 0, __pyx_n_s_cython);
      __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_2); __pyx_t_2 = 0;
      __Pyx_XDECREF(__pyx_t_1); __pyx_t_1 = 0;
      __Pyx_XDECREF(__pyx_t_7); __pyx_t_7 = 0;
      goto __pyx_L3_exception_handled;
    }
    goto __pyx_L4_except_error;
    __pyx_L4_except_error:;

    /* "fontTools/misc/bezierTools.py":10
 * from collections import namedtuple
 * 
 * try:             # <<<<<<<<<<<<<<
 *     import cython
 * 
 */
    __Pyx_XGIVEREF(__pyx_t_3);
    __Pyx_XGIVEREF(__pyx_t_4);
    __Pyx_XGIVEREF(__pyx_t_5);
    __Pyx_ExceptionReset(__pyx_t_3, __pyx_t_4, __pyx_t_5);
    goto __pyx_L1_error;
    __pyx_L3_exception_handled:;
    __Pyx_XGIVEREF(__pyx_t_3);
    __Pyx_XGIVEREF(__pyx_t_4);
    __Pyx_XGIVEREF(__pyx_t_5);
    __Pyx_ExceptionReset(__pyx_t_3, __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_1 = PyList_New(3); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 21, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_INCREF(__pyx_n_u_pt);
  __Pyx_GIVEREF(__pyx_n_u_pt);
  PyList_SET_ITEM(__pyx_t_1, 0, __pyx_n_u_pt);
  __Pyx_INCREF(__pyx_n_u_t1);
  __Pyx_GIVEREF(__pyx_n_u_t1);
  PyList_SET_ITEM(__pyx_t_1, 1, __pyx_n_u_t1);
  __Pyx_INCREF(__pyx_n_u_t2);
  __Pyx_GIVEREF(__pyx_n_u_t2);
  PyList_SET_ITEM(__pyx_t_1, 2, __pyx_n_u_t2);
  __pyx_t_2 = PyTuple_New(2); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 21, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_INCREF(__pyx_n_u_Intersection);
  __Pyx_GIVEREF(__pyx_n_u_Intersection);
  PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_n_u_Intersection);
  __Pyx_GIVEREF(__pyx_t_1);
  PyTuple_SET_ITEM(__pyx_t_2, 1, __pyx_t_1);
  __pyx_t_1 = 0;
  __pyx_t_1 = __Pyx_PyObject_Call(__pyx_t_7, __pyx_t_2, NULL); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 21, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_Intersection, __pyx_t_1) < 0) __PYX_ERR(0, 21, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":24
 * 
 * 
 * __all__ = [             # <<<<<<<<<<<<<<
 *     "approximateCubicArcLength",
 *     "approximateCubicArcLengthC",
 */
  __pyx_t_1 = PyList_New(28); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 24, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_INCREF(__pyx_n_u_approximateCubicArcLength);
  __Pyx_GIVEREF(__pyx_n_u_approximateCubicArcLength);
  PyList_SET_ITEM(__pyx_t_1, 0, __pyx_n_u_approximateCubicArcLength);
  __Pyx_INCREF(__pyx_n_u_approximateCubicArcLengthC);
  __Pyx_GIVEREF(__pyx_n_u_approximateCubicArcLengthC);
  PyList_SET_ITEM(__pyx_t_1, 1, __pyx_n_u_approximateCubicArcLengthC);
  __Pyx_INCREF(__pyx_n_u_approximateQuadraticArcLength);
  __Pyx_GIVEREF(__pyx_n_u_approximateQuadraticArcLength);
  PyList_SET_ITEM(__pyx_t_1, 2, __pyx_n_u_approximateQuadraticArcLength);
  __Pyx_INCREF(__pyx_n_u_approximateQuadraticArcLengthC);
  __Pyx_GIVEREF(__pyx_n_u_approximateQuadraticArcLengthC);
  PyList_SET_ITEM(__pyx_t_1, 3, __pyx_n_u_approximateQuadraticArcLengthC);
  __Pyx_INCREF(__pyx_n_u_calcCubicArcLength);
  __Pyx_GIVEREF(__pyx_n_u_calcCubicArcLength);
  PyList_SET_ITEM(__pyx_t_1, 4, __pyx_n_u_calcCubicArcLength);
  __Pyx_INCREF(__pyx_n_u_calcCubicArcLengthC);
  __Pyx_GIVEREF(__pyx_n_u_calcCubicArcLengthC);
  PyList_SET_ITEM(__pyx_t_1, 5, __pyx_n_u_calcCubicArcLengthC);
  __Pyx_INCREF(__pyx_n_u_calcQuadraticArcLength);
  __Pyx_GIVEREF(__pyx_n_u_calcQuadraticArcLength);
  PyList_SET_ITEM(__pyx_t_1, 6, __pyx_n_u_calcQuadraticArcLength);
  __Pyx_INCREF(__pyx_n_u_calcQuadraticArcLengthC);
  __Pyx_GIVEREF(__pyx_n_u_calcQuadraticArcLengthC);
  PyList_SET_ITEM(__pyx_t_1, 7, __pyx_n_u_calcQuadraticArcLengthC);
  __Pyx_INCREF(__pyx_n_u_calcCubicBounds);
  __Pyx_GIVEREF(__pyx_n_u_calcCubicBounds);
  PyList_SET_ITEM(__pyx_t_1, 8, __pyx_n_u_calcCubicBounds);
  __Pyx_INCREF(__pyx_n_u_calcQuadraticBounds);
  __Pyx_GIVEREF(__pyx_n_u_calcQuadraticBounds);
  PyList_SET_ITEM(__pyx_t_1, 9, __pyx_n_u_calcQuadraticBounds);
  __Pyx_INCREF(__pyx_n_u_splitLine);
  __Pyx_GIVEREF(__pyx_n_u_splitLine);
  PyList_SET_ITEM(__pyx_t_1, 10, __pyx_n_u_splitLine);
  __Pyx_INCREF(__pyx_n_u_splitQuadratic);
  __Pyx_GIVEREF(__pyx_n_u_splitQuadratic);
  PyList_SET_ITEM(__pyx_t_1, 11, __pyx_n_u_splitQuadratic);
  __Pyx_INCREF(__pyx_n_u_splitCubic);
  __Pyx_GIVEREF(__pyx_n_u_splitCubic);
  PyList_SET_ITEM(__pyx_t_1, 12, __pyx_n_u_splitCubic);
  __Pyx_INCREF(__pyx_n_u_splitQuadraticAtT_2);
  __Pyx_GIVEREF(__pyx_n_u_splitQuadraticAtT_2);
  PyList_SET_ITEM(__pyx_t_1, 13, __pyx_n_u_splitQuadraticAtT_2);
  __Pyx_INCREF(__pyx_n_u_splitCubicAtT_2);
  __Pyx_GIVEREF(__pyx_n_u_splitCubicAtT_2);
  PyList_SET_ITEM(__pyx_t_1, 14, __pyx_n_u_splitCubicAtT_2);
  __Pyx_INCREF(__pyx_n_u_splitCubicAtTC);
  __Pyx_GIVEREF(__pyx_n_u_splitCubicAtTC);
  PyList_SET_ITEM(__pyx_t_1, 15, __pyx_n_u_splitCubicAtTC);
  __Pyx_INCREF(__pyx_n_u_splitCubicIntoTwoAtTC);
  __Pyx_GIVEREF(__pyx_n_u_splitCubicIntoTwoAtTC);
  PyList_SET_ITEM(__pyx_t_1, 16, __pyx_n_u_splitCubicIntoTwoAtTC);
  __Pyx_INCREF(__pyx_n_u_solveQuadratic);
  __Pyx_GIVEREF(__pyx_n_u_solveQuadratic);
  PyList_SET_ITEM(__pyx_t_1, 17, __pyx_n_u_solveQuadratic);
  __Pyx_INCREF(__pyx_n_u_solveCubic);
  __Pyx_GIVEREF(__pyx_n_u_solveCubic);
  PyList_SET_ITEM(__pyx_t_1, 18, __pyx_n_u_solveCubic);
  __Pyx_INCREF(__pyx_n_u_quadraticPointAtT);
  __Pyx_GIVEREF(__pyx_n_u_quadraticPointAtT);
  PyList_SET_ITEM(__pyx_t_1, 19, __pyx_n_u_quadraticPointAtT);
  __Pyx_INCREF(__pyx_n_u_cubicPointAtT);
  __Pyx_GIVEREF(__pyx_n_u_cubicPointAtT);
  PyList_SET_ITEM(__pyx_t_1, 20, __pyx_n_u_cubicPointAtT);
  __Pyx_INCREF(__pyx_n_u_cubicPointAtTC);
  __Pyx_GIVEREF(__pyx_n_u_cubicPointAtTC);
  PyList_SET_ITEM(__pyx_t_1, 21, __pyx_n_u_cubicPointAtTC);
  __Pyx_INCREF(__pyx_n_u_linePointAtT);
  __Pyx_GIVEREF(__pyx_n_u_linePointAtT);
  PyList_SET_ITEM(__pyx_t_1, 22, __pyx_n_u_linePointAtT);
  __Pyx_INCREF(__pyx_n_u_segmentPointAtT);
  __Pyx_GIVEREF(__pyx_n_u_segmentPointAtT);
  PyList_SET_ITEM(__pyx_t_1, 23, __pyx_n_u_segmentPointAtT);
  __Pyx_INCREF(__pyx_n_u_lineLineIntersections);
  __Pyx_GIVEREF(__pyx_n_u_lineLineIntersections);
  PyList_SET_ITEM(__pyx_t_1, 24, __pyx_n_u_lineLineIntersections);
  __Pyx_INCREF(__pyx_n_u_curveLineIntersections);
  __Pyx_GIVEREF(__pyx_n_u_curveLineIntersections);
  PyList_SET_ITEM(__pyx_t_1, 25, __pyx_n_u_curveLineIntersections);
  __Pyx_INCREF(__pyx_n_u_curveCurveIntersections);
  __Pyx_GIVEREF(__pyx_n_u_curveCurveIntersections);
  PyList_SET_ITEM(__pyx_t_1, 26, __pyx_n_u_curveCurveIntersections);
  __Pyx_INCREF(__pyx_n_u_segmentSegmentIntersections);
  __Pyx_GIVEREF(__pyx_n_u_segmentSegmentIntersections);
  PyList_SET_ITEM(__pyx_t_1, 27, __pyx_n_u_segmentSegmentIntersections);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_all, __pyx_t_1) < 0) __PYX_ERR(0, 24, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 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_1 = __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__11)); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 56, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_CyFunction_SetDefaultsTuple(__pyx_t_1, __pyx_tuple__12);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_calcCubicArcLength, __pyx_t_1) < 0) __PYX_ERR(0, 56, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 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_1 = __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__14)); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 75, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_split_cubic_into_two, __pyx_t_1) < 0) __PYX_ERR(0, 75, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":92
 * )
 * @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)
 */
  __pyx_t_1 = __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__16)); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 92, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_calcCubicArcLengthCRecurse, __pyx_t_1) < 0) __PYX_ERR(0, 92, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 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_1 = PyFloat_FromDouble(((double)0.005)); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 115, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = PyTuple_New(1); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 115, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_GIVEREF(__pyx_t_1);
  PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_t_1);
  __pyx_t_1 = 0;
  __pyx_t_1 = __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__18)); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 115, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_CyFunction_SetDefaultsTuple(__pyx_t_1, __pyx_t_2);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_calcCubicArcLengthC, __pyx_t_1) < 0) __PYX_ERR(0, 115, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 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_1 = __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__20)); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 151, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_calcQuadraticArcLength, __pyx_t_1) < 0) __PYX_ERR(0, 151, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":205
 *     Len=cython.double,
 * )
 * def calcQuadraticArcLengthC(pt1, pt2, pt3):             # <<<<<<<<<<<<<<
 *     """Calculates the arc length for a quadratic Bezier segment.
 * 
 */
  __pyx_t_1 = __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__22)); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 205, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_calcQuadraticArcLengthC, __pyx_t_1) < 0) __PYX_ERR(0, 205, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":237
 * 
 * 
 * def approximateQuadraticArcLength(pt1, pt2, pt3):             # <<<<<<<<<<<<<<
 *     """Calculates the arc length for a quadratic Bezier segment.
 * 
 */
  __pyx_t_1 = __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__24)); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 237, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_approximateQuadraticArcLength, __pyx_t_1) < 0) __PYX_ERR(0, 237, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":265
 *     v2=cython.double,
 * )
 * def approximateQuadraticArcLengthC(pt1, pt2, pt3):             # <<<<<<<<<<<<<<
 *     """Calculates the arc length for a quadratic Bezier segment.
 * 
 */
  __pyx_t_1 = __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__26)); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 265, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_approximateQuadraticArcLengthC, __pyx_t_1) < 0) __PYX_ERR(0, 265, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":298
 * 
 * 
 * def calcQuadraticBounds(pt1, pt2, pt3):             # <<<<<<<<<<<<<<
 *     """Calculates the bounding rectangle for a quadratic Bezier segment.
 * 
 */
  __pyx_t_1 = __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__28)); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 298, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_calcQuadraticBounds, __pyx_t_1) < 0) __PYX_ERR(0, 298, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":332
 * 
 * 
 * def approximateCubicArcLength(pt1, pt2, pt3, pt4):             # <<<<<<<<<<<<<<
 *     """Approximates the arc length for a cubic Bezier segment.
 * 
 */
  __pyx_t_1 = __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__30)); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 332, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_approximateCubicArcLength, __pyx_t_1) < 0) __PYX_ERR(0, 332, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":376
 *     v4=cython.double,
 * )
 * def approximateCubicArcLengthC(pt1, pt2, pt3, pt4):             # <<<<<<<<<<<<<<
 *     """Approximates the arc length for a cubic Bezier segment.
 * 
 */
  __pyx_t_1 = __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__32)); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 376, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_approximateCubicArcLengthC, __pyx_t_1) < 0) __PYX_ERR(0, 376, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":412
 * 
 * 
 * def calcCubicBounds(pt1, pt2, pt3, pt4):             # <<<<<<<<<<<<<<
 *     """Calculates the bounding rectangle for a quadratic Bezier segment.
 * 
 */
  __pyx_t_1 = __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__34)); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 412, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_calcCubicBounds, __pyx_t_1) < 0) __PYX_ERR(0, 412, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":450
 * 
 * 
 * def splitLine(pt1, pt2, where, isHorizontal):             # <<<<<<<<<<<<<<
 *     """Split a line at a given coordinate.
 * 
 */
  __pyx_t_1 = __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__36)); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 450, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_splitLine, __pyx_t_1) < 0) __PYX_ERR(0, 450, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":507
 * 
 * 
 * def splitQuadratic(pt1, pt2, pt3, where, isHorizontal):             # <<<<<<<<<<<<<<
 *     """Split a quadratic Bezier curve at a given coordinate.
 * 
 */
  __pyx_t_1 = __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__38)); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 507, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_splitQuadratic, __pyx_t_1) < 0) __PYX_ERR(0, 507, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 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_1 = __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__40)); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 552, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_splitCubic, __pyx_t_1) < 0) __PYX_ERR(0, 552, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 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_1 = __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__42)); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 589, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_splitQuadraticAtT_2, __pyx_t_1) < 0) __PYX_ERR(0, 589, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 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_1 = __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__44)); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 613, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_splitCubicAtT_2, __pyx_t_1) < 0) __PYX_ERR(0, 613, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":647
 *     d=cython.complex,
 * )
 * def splitCubicAtTC(pt1, pt2, pt3, pt4, *ts):             # <<<<<<<<<<<<<<
 *     """Split a cubic Bezier curve at one or more values of t.
 * 
 */
  __pyx_t_1 = __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_1)) __PYX_ERR(0, 647, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_splitCubicAtTC, __pyx_t_1) < 0) __PYX_ERR(0, 647, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":675
 *     t2=cython.double, _1_t=cython.double, _1_t_2=cython.double, _2_t_1_t=cython.double
 * )
 * def splitCubicIntoTwoAtTC(pt1, pt2, pt3, pt4, t):             # <<<<<<<<<<<<<<
 *     """Split a cubic Bezier curve at t.
 * 
 */
  __pyx_t_1 = __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_1)) __PYX_ERR(0, 675, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_splitCubicIntoTwoAtTC, __pyx_t_1) < 0) __PYX_ERR(0, 675, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":701
 * 
 * 
 * def _splitQuadraticAtT(a, b, c, *ts):             # <<<<<<<<<<<<<<
 *     ts = list(ts)
 *     segments = []
 */
  __pyx_t_1 = __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_1)) __PYX_ERR(0, 701, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_splitQuadraticAtT, __pyx_t_1) < 0) __PYX_ERR(0, 701, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":728
 * 
 * 
 * def _splitCubicAtT(a, b, c, d, *ts):             # <<<<<<<<<<<<<<
 *     ts = list(ts)
 *     ts.insert(0, 0.0)
 */
  __pyx_t_1 = __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_1)) __PYX_ERR(0, 728, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_splitCubicAtT, __pyx_t_1) < 0) __PYX_ERR(0, 728, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":778
 *     d1=cython.complex,
 * )
 * def _splitCubicAtTC(a, b, c, d, *ts):             # <<<<<<<<<<<<<<
 *     ts = list(ts)
 *     ts.insert(0, 0.0)
 */
  __pyx_t_1 = __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_1)) __PYX_ERR(0, 778, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_splitCubicAtTC_2, __pyx_t_1) < 0) __PYX_ERR(0, 778, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;

  /* "fontTools/misc/bezierTools.py":805
 * #
 * 
 * from math import sqrt, acos, cos, pi             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_t_1 = PyList_New(4); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 805, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_INCREF(__pyx_n_s_sqrt);
  __Pyx_GIVEREF(__pyx_n_s_sqrt);
  PyList_SET_ITEM(__pyx_t_1, 0, __pyx_n_s_sqrt);
  __Pyx_INCREF(__pyx_n_s_acos);
  __Pyx_GIVEREF(__pyx_n_s_acos);
  PyList_SET_ITEM(__pyx_t_1, 1, __pyx_n_s_acos);
  __Pyx_INCREF(__pyx_n_s_cos);
  __Pyx_GIVEREF(__pyx_n_s_cos);
  PyList_SET_ITEM(__pyx_t_1, 2, __pyx_n_s_cos);
  __Pyx_INCREF(__pyx_n_s_pi);
  __Pyx_GIVEREF(__pyx_n_s_pi);
  PyList_SET_ITEM(__pyx_t_1, 3, __pyx_n_s_pi);
  __pyx_t_2 = __Pyx_Import(__pyx_n_s_math, __pyx_t_1, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 805, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = __Pyx_ImportFrom(__pyx_t_2, __pyx_n_s_sqrt); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 805, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_sqrt, __pyx_t_1) < 0) __PYX_ERR(0, 805, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = __Pyx_ImportFrom(__pyx_t_2, __pyx_n_s_acos); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 805, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_acos, __pyx_t_1) < 0) __PYX_ERR(0, 805, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = __Pyx_ImportFrom(__pyx_t_2, __pyx_n_s_cos); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 805, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_cos, __pyx_t_1) < 0) __PYX_ERR(0, 805, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = __Pyx_ImportFrom(__pyx_t_2, __pyx_n_s_pi); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 805, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_pi, __pyx_t_1) < 0) __PYX_ERR(0, 805, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":808
 * 
 * 
 * def solveQuadratic(a, b, c, sqrt=sqrt):             # <<<<<<<<<<<<<<
 *     """Solve a quadratic equation.
 * 
 */
  __pyx_t_2 = __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_2)) __PYX_ERR(0, 808, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (!__Pyx_CyFunction_InitDefaults(__pyx_t_2, sizeof(__pyx_defaults), 1)) __PYX_ERR(0, 808, __pyx_L1_error)
  __Pyx_GetModuleGlobalName(__pyx_t_1, __pyx_n_s_sqrt); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 808, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_CyFunction_Defaults(__pyx_defaults, __pyx_t_2)->__pyx_arg_sqrt = __pyx_t_1;
  __Pyx_GIVEREF(__pyx_t_1);
  __pyx_t_1 = 0;
  __Pyx_CyFunction_SetDefaultsGetter(__pyx_t_2, __pyx_pf_9fontTools_4misc_11bezierTools_94__defaults__);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_solveQuadratic, __pyx_t_2) < 0) __PYX_ERR(0, 808, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":841
 * 
 * 
 * def solveCubic(a, b, c, d):             # <<<<<<<<<<<<<<
 *     """Solve a cubic equation.
 * 
 */
  __pyx_t_2 = __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_2)) __PYX_ERR(0, 841, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_solveCubic, __pyx_t_2) < 0) __PYX_ERR(0, 841, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":938
 * 
 * 
 * def calcQuadraticParameters(pt1, pt2, pt3):             # <<<<<<<<<<<<<<
 *     x2, y2 = pt2
 *     x3, y3 = pt3
 */
  __pyx_t_2 = __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_2)) __PYX_ERR(0, 938, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_calcQuadraticParameters, __pyx_t_2) < 0) __PYX_ERR(0, 938, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":949
 * 
 * 
 * def calcCubicParameters(pt1, pt2, pt3, pt4):             # <<<<<<<<<<<<<<
 *     x2, y2 = pt2
 *     x3, y3 = pt3
 */
  __pyx_t_2 = __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_2)) __PYX_ERR(0, 949, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_calcCubicParameters, __pyx_t_2) < 0) __PYX_ERR(0, 949, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":981
 * 
 * 
 * def calcQuadraticPoints(a, b, c):             # <<<<<<<<<<<<<<
 *     ax, ay = a
 *     bx, by = b
 */
  __pyx_t_2 = __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_2)) __PYX_ERR(0, 981, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_calcQuadraticPoints, __pyx_t_2) < 0) __PYX_ERR(0, 981, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":994
 * 
 * 
 * def calcCubicPoints(a, b, c, d):             # <<<<<<<<<<<<<<
 *     ax, ay = a
 *     bx, by = b
 */
  __pyx_t_2 = __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_2)) __PYX_ERR(0, 994, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_calcCubicPoints, __pyx_t_2) < 0) __PYX_ERR(0, 994, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1033
 * 
 * 
 * def linePointAtT(pt1, pt2, t):             # <<<<<<<<<<<<<<
 *     """Finds the point at time `t` on a line.
 * 
 */
  __pyx_t_2 = __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_2)) __PYX_ERR(0, 1033, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_linePointAtT, __pyx_t_2) < 0) __PYX_ERR(0, 1033, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1046
 * 
 * 
 * def quadraticPointAtT(pt1, pt2, pt3, t):             # <<<<<<<<<<<<<<
 *     """Finds the point at time `t` on a quadratic curve.
 * 
 */
  __pyx_t_2 = __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_2)) __PYX_ERR(0, 1046, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_quadraticPointAtT, __pyx_t_2) < 0) __PYX_ERR(0, 1046, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 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_2 = __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_2)) __PYX_ERR(0, 1061, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_cubicPointAtT, __pyx_t_2) < 0) __PYX_ERR(0, 1061, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1096
 * )
 * @cython.locals(t2=cython.double, _1_t=cython.double, _1_t_2=cython.double)
 * def cubicPointAtTC(pt1, pt2, pt3, pt4, t):             # <<<<<<<<<<<<<<
 *     """Finds the point at time `t` on a cubic curve.
 * 
 */
  __pyx_t_2 = __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_2)) __PYX_ERR(0, 1096, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_cubicPointAtTC, __pyx_t_2) < 0) __PYX_ERR(0, 1096, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1112
 * 
 * 
 * def segmentPointAtT(seg, t):             # <<<<<<<<<<<<<<
 *     if len(seg) == 2:
 *         return linePointAtT(*seg, t)
 */
  __pyx_t_2 = __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_2)) __PYX_ERR(0, 1112, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_segmentPointAtT, __pyx_t_2) < 0) __PYX_ERR(0, 1112, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1127
 * 
 * 
 * def _line_t_of_pt(s, e, pt):             # <<<<<<<<<<<<<<
 *     sx, sy = s
 *     ex, ey = e
 */
  __pyx_t_2 = __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_2)) __PYX_ERR(0, 1127, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_line_t_of_pt, __pyx_t_2) < 0) __PYX_ERR(0, 1127, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 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_2 = __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_2)) __PYX_ERR(0, 1141, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_both_points_are_on_same_side_of, __pyx_t_2) < 0) __PYX_ERR(0, 1141, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1147
 * 
 * 
 * def lineLineIntersections(s1, e1, s2, e2):             # <<<<<<<<<<<<<<
 *     """Finds intersections between two line segments.
 * 
 */
  __pyx_t_2 = __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_2)) __PYX_ERR(0, 1147, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_lineLineIntersections, __pyx_t_2) < 0) __PYX_ERR(0, 1147, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 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_2 = __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_2)) __PYX_ERR(0, 1225, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_alignment_transformation, __pyx_t_2) < 0) __PYX_ERR(0, 1225, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 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_2 = __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_2)) __PYX_ERR(0, 1235, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_curve_line_intersections_t, __pyx_t_2) < 0) __PYX_ERR(0, 1235, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1248
 * 
 * 
 * def curveLineIntersections(curve, line):             # <<<<<<<<<<<<<<
 *     """Finds intersections between a curve and a line.
 * 
 */
  __pyx_t_2 = __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_2)) __PYX_ERR(0, 1248, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_curveLineIntersections, __pyx_t_2) < 0) __PYX_ERR(0, 1248, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1286
 * 
 * 
 * def _curve_bounds(c):             # <<<<<<<<<<<<<<
 *     if len(c) == 3:
 *         return calcQuadraticBounds(*c)
 */
  __pyx_t_2 = __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_2)) __PYX_ERR(0, 1286, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_curve_bounds, __pyx_t_2) < 0) __PYX_ERR(0, 1286, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1294
 * 
 * 
 * def _split_segment_at_t(c, t):             # <<<<<<<<<<<<<<
 *     if len(c) == 2:
 *         s, e = c
 */
  __pyx_t_2 = __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_2)) __PYX_ERR(0, 1294, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_split_segment_at_t, __pyx_t_2) < 0) __PYX_ERR(0, 1294, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1306
 * 
 * 
 * def _curve_curve_intersections_t(             # <<<<<<<<<<<<<<
 *     curve1, curve2, precision=1e-3, range1=None, range2=None
 * ):
 */
  __pyx_t_2 = __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_2)) __PYX_ERR(0, 1306, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_CyFunction_SetDefaultsTuple(__pyx_t_2, __pyx_tuple__94);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_curve_curve_intersections_t, __pyx_t_2) < 0) __PYX_ERR(0, 1306, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1373
 * 
 * 
 * def curveCurveIntersections(curve1, curve2):             # <<<<<<<<<<<<<<
 *     """Finds intersections between a curve and a curve.
 * 
 */
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_87curveCurveIntersections, 0, __pyx_n_s_curveCurveIntersections, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__96)); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1373, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_curveCurveIntersections, __pyx_t_2) < 0) __PYX_ERR(0, 1373, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1401
 * 
 * 
 * def segmentSegmentIntersections(seg1, seg2):             # <<<<<<<<<<<<<<
 *     """Finds intersections between two segments.
 * 
 */
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_89segmentSegmentIntersections, 0, __pyx_n_s_segmentSegmentIntersections, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__98)); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1401, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_segmentSegmentIntersections, __pyx_t_2) < 0) __PYX_ERR(0, 1401, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1449
 * 
 * 
 * def _segmentrepr(obj):             # <<<<<<<<<<<<<<
 *     """
 *     >>> _segmentrepr([1, [2, 3], [], [[2, [3, 4], [0.1, 2.2]]]])
 */
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_91_segmentrepr, 0, __pyx_n_s_segmentrepr, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__100)); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1449, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_segmentrepr, __pyx_t_2) < 0) __PYX_ERR(0, 1449, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1462
 * 
 * 
 * def printSegments(segments):             # <<<<<<<<<<<<<<
 *     """Helper for the doctests, displaying each segment in a list of
 *     segments on a single line as a tuple.
 */
  __pyx_t_2 = __Pyx_CyFunction_New(&__pyx_mdef_9fontTools_4misc_11bezierTools_93printSegments, 0, __pyx_n_s_printSegments, NULL, __pyx_n_s_fontTools_misc_bezierTools, __pyx_d, ((PyObject *)__pyx_codeobj__102)); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1462, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_printSegments, __pyx_t_2) < 0) __PYX_ERR(0, 1462, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "fontTools/misc/bezierTools.py":1470
 * 
 * 
 * if __name__ == "__main__":             # <<<<<<<<<<<<<<
 *     import sys
 *     import doctest
 */
  __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_name); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1470, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_10 = (__Pyx_PyUnicode_Equals(__pyx_t_2, __pyx_n_u_main, Py_EQ)); if (unlikely(__pyx_t_10 < 0)) __PYX_ERR(0, 1470, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  if (__pyx_t_10) {

    /* "fontTools/misc/bezierTools.py":1471
 * 
 * if __name__ == "__main__":
 *     import sys             # <<<<<<<<<<<<<<
 *     import doctest
 * 
 */
    __pyx_t_2 = __Pyx_Import(__pyx_n_s_sys, 0, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1471, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    if (PyDict_SetItem(__pyx_d, __pyx_n_s_sys, __pyx_t_2) < 0) __PYX_ERR(0, 1471, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

    /* "fontTools/misc/bezierTools.py":1472
 * if __name__ == "__main__":
 *     import sys
 *     import doctest             # <<<<<<<<<<<<<<
 * 
 *     sys.exit(doctest.testmod().failed)
 */
    __pyx_t_2 = __Pyx_Import(__pyx_n_s_doctest, 0, 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1472, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    if (PyDict_SetItem(__pyx_d, __pyx_n_s_doctest, __pyx_t_2) < 0) __PYX_ERR(0, 1472, __pyx_L1_error)
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

    /* "fontTools/misc/bezierTools.py":1474
 *     import doctest
 * 
 *     sys.exit(doctest.testmod().failed)             # <<<<<<<<<<<<<<
 */
    __Pyx_GetModuleGlobalName(__pyx_t_2, __pyx_n_s_sys); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1474, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = __Pyx_PyObject_GetAttrStr(__pyx_t_2, __pyx_n_s_exit); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1474, __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_doctest); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1474, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_7 = __Pyx_PyObject_GetAttrStr(__pyx_t_2, __pyx_n_s_testmod); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1474, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_t_2 = __Pyx_PyObject_CallNoArg(__pyx_t_7); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1474, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    __pyx_t_7 = __Pyx_PyObject_GetAttrStr(__pyx_t_2, __pyx_n_s_failed); if (unlikely(!__pyx_t_7)) __PYX_ERR(0, 1474, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_7);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_t_2 = __Pyx_PyObject_CallOneArg(__pyx_t_1, __pyx_t_7); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1474, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

    /* "fontTools/misc/bezierTools.py":1470
 * 
 * 
 * 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_2 = __Pyx_PyDict_NewPresized(15); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_t_2, __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_2, __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_2, __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_2, __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_2, __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_2, __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_2, __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_2, __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_2, __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_2, __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_2, __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_2, __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_2, __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_2, __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_2, __pyx_kp_u_segmentrepr_line_1449, __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_2) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /*--- Wrapped vars code ---*/

  goto __pyx_L0;
  __pyx_L1_error:;
  __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);
  if (__pyx_m) {
    if (__pyx_d) {
      __Pyx_AddTraceback("init fontTools.misc.bezierTools", __pyx_clineno, __pyx_lineno, __pyx_filename);
    }
    Py_CLEAR(__pyx_m);
  } 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
}

/* --- 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

/* 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

/* GetBuiltinName */
static PyObject *__Pyx_GetBuiltinName(PyObject *name) {
    PyObject* result = __Pyx_PyObject_GetAttrStr(__pyx_b, name);
    if (unlikely(!result)) {
        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;
}

/* 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 **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;
    while (PyDict_Next(kwds, &pos, &key, &value)) {
        name = first_kw_arg;
        while (*name && (**name != key)) name++;
        if (*name) {
            values[name-argnames] = value;
            continue;
        }
        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;
                    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 = (**name == key) ? 0 :
                #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;
                    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;
        }
    }
    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:
    PyErr_Format(PyExc_TypeError,
    #if PY_MAJOR_VERSION < 3
        "%.200s() got an unexpected keyword argument '%.200s'",
        function_name, PyString_AsString(key));
    #else
        "%s() got an unexpected keyword argument '%U'",
        function_name, key);
    #endif
bad:
    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
    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;
    }
#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 (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
        return NULL;
    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
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;
}
#if 1 || PY_VERSION_HEX < 0x030600B1
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_EnterRecursiveCall((char*)" while calling a Python object")) {
        return NULL;
    }
    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
#endif

/* PyCFunctionFastCall */
#if CYTHON_FAST_PYCCALL
static CYTHON_INLINE PyObject * __Pyx_PyCFunction_FastCall(PyObject *func_obj, PyObject **args, Py_ssize_t nargs) {
    PyCFunctionObject *func = (PyCFunctionObject*)func_obj;
    PyCFunction meth = PyCFunction_GET_FUNCTION(func);
    PyObject *self = PyCFunction_GET_SELF(func);
    int flags = PyCFunction_GET_FLAGS(func);
    assert(PyCFunction_Check(func));
    assert(METH_FASTCALL == (flags & ~(METH_CLASS | METH_STATIC | METH_COEXIST | METH_KEYWORDS | METH_STACKLESS)));
    assert(nargs >= 0);
    assert(nargs == 0 || args != NULL);
    /* _PyCFunction_FastCallDict() must not be called with an exception set,
       because it may clear it (directly or indirectly) and so the
       caller loses its exception */
    assert(!PyErr_Occurred());
    if ((PY_VERSION_HEX < 0x030700A0) || unlikely(flags & METH_KEYWORDS)) {
        return (*((__Pyx_PyCFunctionFastWithKeywords)(void*)meth)) (self, args, nargs, NULL);
    } else {
        return (*((__Pyx_PyCFunctionFast)(void*)meth)) (self, args, nargs);
    }
}
#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) {
#if CYTHON_FAST_THREAD_STATE
    PyThreadState *tstate = __Pyx_PyThreadState_Current;
    PyObject* exc_type = tstate->curexc_type;
    if (unlikely(exc_type)) {
        if (likely(__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration))) {
            PyObject *exc_value, *exc_tb;
            exc_value = tstate->curexc_value;
            exc_tb = tstate->curexc_traceback;
            tstate->curexc_type = 0;
            tstate->curexc_value = 0;
            tstate->curexc_traceback = 0;
            Py_DECREF(exc_type);
            Py_XDECREF(exc_value);
            Py_XDECREF(exc_tb);
            return 0;
        } else {
            return -1;
        }
    }
    return 0;
#else
    if (unlikely(PyErr_Occurred())) {
        if (likely(PyErr_ExceptionMatches(PyExc_StopIteration))) {
            PyErr_Clear();
            return 0;
        } else {
            return -1;
        }
    }
    return 0;
#endif
}

/* 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
#if PY_MAJOR_VERSION < 3 || CYTHON_USE_PYLONG_INTERNALS
#define __Pyx_PyInt_TrueDivideObjC_ZeroDivisionError(operand)\
    if (unlikely(zerodivision_check && ((operand) == 0))) {\
        PyErr_SetString(PyExc_ZeroDivisionError, "integer division by zero");\
        return NULL;\
    }
#endif
static PyObject* __Pyx_PyInt_TrueDivideObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, int inplace, int zerodivision_check) {
    (void)inplace;
    (void)zerodivision_check;
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long a = PyInt_AS_LONG(op1);
            __Pyx_PyInt_TrueDivideObjC_ZeroDivisionError(b)
            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;
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op1);
        if (likely(__Pyx_sst_abs(size) <= 1)) {
            a = likely(size) ? digits[0] : 0;
            if (size == -1) a = -a;
        } else {
            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);
            }
        }
                __Pyx_PyInt_TrueDivideObjC_ZeroDivisionError(b)
                if ((8 * sizeof(long) <= 53 || likely(labs(a) <= ((PY_LONG_LONG)1 << 53)))
                        || __Pyx_sst_abs(size) <= 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;
        double a = PyFloat_AS_DOUBLE(op1);
            double result;
            if (unlikely(zerodivision_check && b == 0)) {
                PyErr_SetString(PyExc_ZeroDivisionError, "float division by zero");
                return NULL;
            }
            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

/* PyObjectCall2Args */
static CYTHON_UNUSED PyObject* __Pyx_PyObject_Call2Args(PyObject* function, PyObject* arg1, PyObject* arg2) {
    PyObject *args, *result = NULL;
    #if CYTHON_FAST_PYCALL
    if (PyFunction_Check(function)) {
        PyObject *args[2] = {arg1, arg2};
        return __Pyx_PyFunction_FastCall(function, args, 2);
    }
    #endif
    #if CYTHON_FAST_PYCCALL
    if (__Pyx_PyFastCFunction_Check(function)) {
        PyObject *args[2] = {arg1, arg2};
        return __Pyx_PyCFunction_FastCall(function, args, 2);
    }
    #endif
    args = PyTuple_New(2);
    if (unlikely(!args)) goto done;
    Py_INCREF(arg1);
    PyTuple_SET_ITEM(args, 0, arg1);
    Py_INCREF(arg2);
    PyTuple_SET_ITEM(args, 1, arg2);
    Py_INCREF(function);
    result = __Pyx_PyObject_Call(function, args, NULL);
    Py_DECREF(args);
    Py_DECREF(function);
done:
    return result;
}

/* PyObjectCallMethO */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg) {
    PyObject *self, *result;
    PyCFunction cfunc;
    cfunc = PyCFunction_GET_FUNCTION(func);
    self = PyCFunction_GET_SELF(func);
    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
        return NULL;
    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

/* PyObjectCallOneArg */
#if CYTHON_COMPILING_IN_CPYTHON
static PyObject* __Pyx__PyObject_CallOneArg(PyObject *func, PyObject *arg) {
    PyObject *result;
    PyObject *args = PyTuple_New(1);
    if (unlikely(!args)) return NULL;
    Py_INCREF(arg);
    PyTuple_SET_ITEM(args, 0, arg);
    result = __Pyx_PyObject_Call(func, args, NULL);
    Py_DECREF(args);
    return result;
}
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
#if CYTHON_FAST_PYCALL
    if (PyFunction_Check(func)) {
        return __Pyx_PyFunction_FastCall(func, &arg, 1);
    }
#endif
    if (likely(PyCFunction_Check(func))) {
        if (likely(PyCFunction_GET_FLAGS(func) & METH_O)) {
            return __Pyx_PyObject_CallMethO(func, arg);
#if CYTHON_FAST_PYCCALL
        } else if (__Pyx_PyFastCFunction_Check(func)) {
            return __Pyx_PyCFunction_FastCall(func, &arg, 1);
#endif
        }
    }
    return __Pyx__PyObject_CallOneArg(func, arg);
}
#else
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
    PyObject *result;
    PyObject *args = PyTuple_Pack(1, arg);
    if (unlikely(!args)) return NULL;
    result = __Pyx_PyObject_Call(func, args, NULL);
    Py_DECREF(args);
    return result;
}
#endif

/* PyErrFetchRestore */
#if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
    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);
}
static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
    *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

/* WriteUnraisableException */
static void __Pyx_WriteUnraisable(const char *name, CYTHON_UNUSED int clineno,
                                  CYTHON_UNUSED int lineno, CYTHON_UNUSED const char *filename,
                                  int full_traceback, CYTHON_UNUSED int nogil) {
    PyObject *old_exc, *old_val, *old_tb;
    PyObject *ctx;
    __Pyx_PyThreadState_declare
#ifdef WITH_THREAD
    PyGILState_STATE state;
    if (nogil)
        state = PyGILState_Ensure();
    else state = (PyGILState_STATE)0;
#endif
    __Pyx_PyThreadState_assign
    __Pyx_ErrFetch(&old_exc, &old_val, &old_tb);
    if (full_traceback) {
        Py_XINCREF(old_exc);
        Py_XINCREF(old_val);
        Py_XINCREF(old_tb);
        __Pyx_ErrRestore(old_exc, old_val, old_tb);
        PyErr_PrintEx(1);
    }
    #if PY_MAJOR_VERSION < 3
    ctx = PyString_FromString(name);
    #else
    ctx = PyUnicode_FromString(name);
    #endif
    __Pyx_ErrRestore(old_exc, old_val, old_tb);
    if (!ctx) {
        PyErr_WriteUnraisable(Py_None);
    } else {
        PyErr_WriteUnraisable(ctx);
        Py_DECREF(ctx);
    }
#ifdef WITH_THREAD
    if (nogil)
        PyGILState_Release(state);
#endif
}

/* PyIntCompare */
static CYTHON_INLINE PyObject* __Pyx_PyInt_NeObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, CYTHON_UNUSED long inplace) {
    if (op1 == op2) {
        Py_RETURN_FALSE;
    }
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long a = PyInt_AS_LONG(op1);
        if (a != b) Py_RETURN_TRUE; else Py_RETURN_FALSE;
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        int unequal;
        unsigned long uintval;
        Py_ssize_t size = Py_SIZE(op1);
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        if (intval == 0) {
            if (size != 0) Py_RETURN_TRUE; else Py_RETURN_FALSE;
        } else if (intval < 0) {
            if (size >= 0)
                Py_RETURN_TRUE;
            intval = -intval;
            size = -size;
        } else {
            if (size <= 0)
                Py_RETURN_TRUE;
        }
        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));
        if (unequal != 0) Py_RETURN_TRUE; else Py_RETURN_FALSE;
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
        double a = PyFloat_AS_DOUBLE(op1);
        if ((double)a != (double)b) Py_RETURN_TRUE; else Py_RETURN_FALSE;
    }
    return (
        PyObject_RichCompare(op1, op2, Py_NE));
}

/* GetItemInt */
static PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j) {
    PyObject *r;
    if (!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 {
        PySequenceMethods *m = Py_TYPE(o)->tp_as_sequence;
        if (likely(m && m->sq_item)) {
            if (wraparound && unlikely(i < 0) && likely(m->sq_length)) {
                Py_ssize_t l = m->sq_length(o);
                if (likely(l >= 0)) {
                    i += l;
                } else {
                    if (!PyErr_ExceptionMatches(PyExc_OverflowError))
                        return NULL;
                    PyErr_Clear();
                }
            }
            return m->sq_item(o, i);
        }
    }
#else
    if (is_list || PySequence_Check(o)) {
        return PySequence_GetItem(o, i);
    }
#endif
    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
}

/* ObjectGetItem */
#if CYTHON_USE_TYPE_SLOTS
static PyObject *__Pyx_PyObject_GetIndex(PyObject *obj, PyObject* index) {
    PyObject *runerr = NULL;
    Py_ssize_t key_value;
    PySequenceMethods *m = Py_TYPE(obj)->tp_as_sequence;
    if (unlikely(!(m && m->sq_item))) {
        PyErr_Format(PyExc_TypeError, "'%.200s' object is not subscriptable", Py_TYPE(obj)->tp_name);
        return NULL;
    }
    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)) {
        PyErr_Clear();
        PyErr_Format(PyExc_IndexError, "cannot fit '%.200s' into an index-sized integer", Py_TYPE(index)->tp_name);
    }
    return NULL;
}
static PyObject *__Pyx_PyObject_GetItem(PyObject *obj, PyObject* key) {
    PyMappingMethods *m = Py_TYPE(obj)->tp_as_mapping;
    if (likely(m && m->mp_subscript)) {
        return m->mp_subscript(obj, key);
    }
    return __Pyx_PyObject_GetIndex(obj, key);
}
#endif

/* PyIntCompare */
static CYTHON_INLINE PyObject* __Pyx_PyInt_EqObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, CYTHON_UNUSED long inplace) {
    if (op1 == op2) {
        Py_RETURN_TRUE;
    }
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long a = PyInt_AS_LONG(op1);
        if (a == b) Py_RETURN_TRUE; else Py_RETURN_FALSE;
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        int unequal;
        unsigned long uintval;
        Py_ssize_t size = Py_SIZE(op1);
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        if (intval == 0) {
            if (size == 0) Py_RETURN_TRUE; else Py_RETURN_FALSE;
        } else if (intval < 0) {
            if (size >= 0)
                Py_RETURN_FALSE;
            intval = -intval;
            size = -size;
        } else {
            if (size <= 0)
                Py_RETURN_FALSE;
        }
        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));
        if (unequal == 0) Py_RETURN_TRUE; else Py_RETURN_FALSE;
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
        double a = PyFloat_AS_DOUBLE(op1);
        if ((double)a == (double)b) Py_RETURN_TRUE; else Py_RETURN_FALSE;
    }
    return (
        PyObject_RichCompare(op1, op2, Py_EQ));
}

/* None */
static CYTHON_INLINE void __Pyx_RaiseClosureNameError(const char *varname) {
    PyErr_Format(PyExc_NameError, "free variable '%s' referenced before assignment in enclosing scope", varname);
}

/* FetchCommonType */
static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type) {
    PyObject* fake_module;
    PyTypeObject* cached_type = NULL;
    fake_module = PyImport_AddModule((char*) "_cython_" CYTHON_ABI);
    if (!fake_module) return NULL;
    Py_INCREF(fake_module);
    cached_type = (PyTypeObject*) PyObject_GetAttrString(fake_module, type->tp_name);
    if (cached_type) {
        if (!PyType_Check((PyObject*)cached_type)) {
            PyErr_Format(PyExc_TypeError,
                "Shared Cython type %.200s is not a type object",
                type->tp_name);
            goto bad;
        }
        if (cached_type->tp_basicsize != type->tp_basicsize) {
            PyErr_Format(PyExc_TypeError,
                "Shared Cython type %.200s has the wrong size, try recompiling",
                type->tp_name);
            goto bad;
        }
    } else {
        if (!PyErr_ExceptionMatches(PyExc_AttributeError)) goto bad;
        PyErr_Clear();
        if (PyType_Ready(type) < 0) goto bad;
        if (PyObject_SetAttrString(fake_module, type->tp_name, (PyObject*) type) < 0)
            goto bad;
        Py_INCREF(type);
        cached_type = type;
    }
done:
    Py_DECREF(fake_module);
    return cached_type;
bad:
    Py_XDECREF(cached_type);
    cached_type = NULL;
    goto done;
}

/* RaiseException */
#if PY_MAJOR_VERSION < 3
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb,
                        CYTHON_UNUSED PyObject *cause) {
    __Pyx_PyThreadState_declare
    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 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
static _PyErr_StackItem *
__Pyx_PyErr_GetTopmostException(PyThreadState *tstate)
{
    _PyErr_StackItem *exc_info = tstate->exc_info;
    while ((exc_info->exc_type == NULL || exc_info->exc_type == 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
    _PyErr_StackItem *exc_info = __Pyx_PyErr_GetTopmostException(tstate);
    *type = exc_info->exc_type;
    *value = exc_info->exc_value;
    *tb = exc_info->exc_traceback;
    #else
    *type = tstate->exc_type;
    *value = tstate->exc_value;
    *tb = tstate->exc_traceback;
    #endif
    Py_XINCREF(*type);
    Py_XINCREF(*value);
    Py_XINCREF(*tb);
}
static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
    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

/* 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
    _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

/* 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
    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 PY_MAJOR_VERSION >= 3
        #ifdef __Pyx_CyFunction_USED
        if (likely(PyFunction_Check(descr) || (Py_TYPE(descr) == &PyMethodDescr_Type) || __Pyx_CyFunction_Check(descr)))
        #else
        if (likely(PyFunction_Check(descr) || (Py_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 (descr != NULL) {
        *method = descr;
        return 0;
    }
    PyErr_Format(PyExc_AttributeError,
#if PY_MAJOR_VERSION >= 3
                 "'%.50s' object has no attribute '%U'",
                 tp->tp_name, name);
#else
                 "'%.50s' object has no attribute '%.400s'",
                 tp->tp_name, PyString_AS_STRING(name));
#endif
    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 */
static PyObject* __Pyx__PyObject_CallMethod1(PyObject* method, PyObject* arg) {
    PyObject *result = __Pyx_PyObject_CallOneArg(method, arg);
    Py_DECREF(method);
    return result;
}
static PyObject* __Pyx_PyObject_CallMethod1(PyObject* obj, PyObject* method_name, PyObject* arg) {
    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);
}

/* CoroutineBase */
#include <structmember.h>
#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(CYTHON_UNUSED PyThreadState *__pyx_tstate, PyObject **pvalue) {
    PyObject *et, *ev, *tb;
    PyObject *value = NULL;
    __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 (Py_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) {
    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);
}
#define __Pyx_Coroutine_AlreadyRunningError(gen)  (__Pyx__Coroutine_AlreadyRunningError(gen), (PyObject*)NULL)
static void __Pyx__Coroutine_AlreadyRunningError(CYTHON_UNUSED __pyx_CoroutineObject *gen) {
    const char *msg;
    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(CYTHON_UNUSED PyObject *gen) {
    const char *msg;
    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(CYTHON_UNUSED PyObject *gen, PyObject *value, CYTHON_UNUSED int 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_type) {
        #if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_PYSTON
        #else
        if (exc_state->exc_traceback) {
            PyTracebackObject *tb = (PyTracebackObject *) exc_state->exc_traceback;
            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
        }
        #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((PyObject *) 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) {
    PyObject *exc_tb = exc_state->exc_traceback;
    if (likely(exc_tb)) {
#if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_PYSTON
#else
        PyTracebackObject *tb = (PyTracebackObject *) exc_tb;
        PyFrameObject *f = tb->tb_frame;
        Py_CLEAR(f->f_back);
#endif
    }
}
static CYTHON_INLINE
PyObject *__Pyx_Coroutine_MethodReturn(CYTHON_UNUSED PyObject* gen, PyObject *retval) {
    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 {
            _PyGen_SetStopIterationValue(result);
        }
        Py_CLEAR(result);
    }
    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 = Py_TYPE(yf)->tp_iternext(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_GetAttrStr(yf, __pyx_n_s_close);
        if (unlikely(!meth)) {
            if (!PyErr_ExceptionMatches(PyExc_AttributeError)) {
                PyErr_WriteUnraisable(yf);
            }
            PyErr_Clear();
        } else {
            retval = PyObject_CallFunction(meth, NULL);
            Py_DECREF(meth);
            if (!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 = Py_TYPE(yf)->tp_iternext(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, CYTHON_UNUSED PyObject *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_GetAttrStr(yf, __pyx_n_s_throw);
            if (unlikely(!meth)) {
                Py_DECREF(yf);
                if (!PyErr_ExceptionMatches(PyExc_AttributeError)) {
                    gen->is_running = 0;
                    return NULL;
                }
                PyErr_Clear();
                __Pyx_Coroutine_Undelegate(gen);
                gen->is_running = 0;
                goto throw_here;
            }
            if (likely(args)) {
                ret = PyObject_CallObject(meth, args);
            } else {
                ret = PyObject_CallFunctionObjArgs(meth, typ, val, tb, NULL);
            }
            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 (!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) {
    Py_VISIT(exc_state->exc_type);
    Py_VISIT(exc_state->exc_value);
    Py_VISIT(exc_state->exc_traceback);
    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 (PyObject_CallFinalizerFromDealloc(self))
#else
        Py_TYPE(gen)->tp_del(self);
        if (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);
    PyObject_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 (--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, CYTHON_UNUSED void *context)
{
    PyObject *name = self->gi_name;
    if (unlikely(!name)) name = Py_None;
    Py_INCREF(name);
    return name;
}
static int
__Pyx_Coroutine_set_name(__pyx_CoroutineObject *self, PyObject *value, CYTHON_UNUSED void *context)
{
    PyObject *tmp;
#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;
    }
    tmp = self->gi_name;
    Py_INCREF(value);
    self->gi_name = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_Coroutine_get_qualname(__pyx_CoroutineObject *self, CYTHON_UNUSED void *context)
{
    PyObject *name = self->gi_qualname;
    if (unlikely(!name)) name = Py_None;
    Py_INCREF(name);
    return name;
}
static int
__Pyx_Coroutine_set_qualname(__pyx_CoroutineObject *self, PyObject *value, CYTHON_UNUSED void *context)
{
    PyObject *tmp;
#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;
    }
    tmp = self->gi_qualname;
    Py_INCREF(value);
    self->gi_qualname = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_Coroutine_get_frame(__pyx_CoroutineObject *self, CYTHON_UNUSED void *context)
{
    PyObject *frame = self->gi_frame;
    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;
    gen->gi_exc_state.exc_type = NULL;
    gen->gi_exc_state.exc_value = NULL;
    gen->gi_exc_state.exc_traceback = NULL;
#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) {
    PyErr_Format(PyExc_AttributeError,
#if PY_MAJOR_VERSION >= 3
                 "'%.50s' object has no attribute '%U'",
                 tp->tp_name, attr_name);
#else
                 "'%.50s' object has no attribute '%.400s'",
                 tp->tp_name, PyString_AS_STRING(attr_name));
#endif
    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 (!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},
    {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}
};
static PyTypeObject __pyx_GeneratorType_type = {
    PyVarObject_HEAD_INIT(0, 0)
    "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 PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
    0,
#endif
#if PY_VERSION_HEX >= 0x030C0000
    0,
#endif
#if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
    0,
#endif
};
static int __pyx_Generator_init(void) {
    __pyx_GeneratorType_type.tp_getattro = __Pyx_PyObject_GenericGetAttrNoDict;
    __pyx_GeneratorType_type.tp_iter = PyObject_SelfIter;
    __pyx_GeneratorType = __Pyx_FetchCommonType(&__pyx_GeneratorType_type);
    if (unlikely(!__pyx_GeneratorType)) {
        return -1;
    }
    return 0;
}

/* GeneratorYieldFrom */
static void __PyxPyIter_CheckErrorAndDecref(PyObject *source) {
    PyErr_Format(PyExc_TypeError,
                 "iter() returned non-iterator of type '%.100s'",
                 Py_TYPE(source)->tp_name);
    Py_DECREF(source);
}
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))) {
                __PyxPyIter_CheckErrorAndDecref(source_gen);
                return NULL;
            }
        } else
#endif
        {
            source_gen = PyObject_GetIter(source);
            if (unlikely(!source_gen))
                return NULL;
        }
#if CYTHON_USE_TYPE_SLOTS
        retval = Py_TYPE(source_gen)->tp_iternext(source_gen);
#else
        retval = PyIter_Next(source_gen);
#endif
    }
    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, CYTHON_UNUSED long intval, int inplace, int zerodivision_check) {
    (void)inplace;
    (void)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 + 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
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op1);
        if (likely(__Pyx_sst_abs(size) <= 1)) {
            a = likely(size) ? digits[0] : 0;
            if (size == -1) a = -a;
        } else {
            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;
        double a = PyFloat_AS_DOUBLE(op1);
            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 (likely(Py_SIZE(n) == -1)) {
        return PyLong_FromLong(((PyLongObject*)n)->ob_digit[0]);
    }
#if CYTHON_COMPILING_IN_CPYTHON
    {
        PyObject *copy = _PyLong_Copy((PyLongObject*)n);
        if (likely(copy)) {
            __Pyx_SET_SIZE(copy, -Py_SIZE(copy));
        }
        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;
    (void)inplace;
    (void)zerodivision_check;
    if (likely(PyFloat_CheckExact(op1))) {
        a = PyFloat_AS_DOUBLE(op1);
        
    } 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
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op1);
        switch (size) {
            case  0: a = 0.0; break;
            case -1: a = -(double) digits[0]; break;
            case  1: a = (double) digits[0]; break;
            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:
        #else
        {
        #endif
            a = PyLong_AsDouble(op1);
            if (unlikely(a == -1.0 && PyErr_Occurred())) return NULL;
            
        }
    } 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

/* PyFloatBinop */
  #if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyFloat_EqObjC(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check) {
    const double b = floatval;
    double a;
    (void)inplace;
    (void)zerodivision_check;
    if (op1 == op2) {
        Py_RETURN_TRUE;
    }
    if (likely(PyFloat_CheckExact(op1))) {
        a = PyFloat_AS_DOUBLE(op1);
        
    } 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
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op1);
        switch (size) {
            case  0: a = 0.0; break;
            case -1: a = -(double) digits[0]; break;
            case  1: a = (double) digits[0]; break;
            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:
        #else
        {
        #endif
            return (
                PyFloat_Type.tp_richcompare(op2, op1, Py_EQ));
        }
    } else {
        return (
            PyObject_RichCompare(op1, op2, Py_EQ));
    }
        if (a == b) {
            Py_RETURN_TRUE;
        } else {
            Py_RETURN_FALSE;
        }
}
#endif

/* RaiseNoneIterError */
    static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void) {
    PyErr_SetString(PyExc_TypeError, "'NoneType' object is not iterable");
}

/* PyIntBinop */
    #if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_SubtractCObj(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, int inplace, int zerodivision_check) {
    (void)inplace;
    (void)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 - 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
        const digit* digits = ((PyLongObject*)op2)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op2);
        if (likely(__Pyx_sst_abs(size) <= 1)) {
            b = likely(size) ? digits[0] : 0;
            if (size == -1) b = -b;
        } else {
            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;
        double b = PyFloat_AS_DOUBLE(op2);
            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

/* CythonFunctionShared */
    #include <structmember.h>
static PyObject *
__Pyx_CyFunction_get_doc(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *closure)
{
    if (unlikely(op->func_doc == NULL)) {
        if (op->func.m_ml->ml_doc) {
#if PY_MAJOR_VERSION >= 3
            op->func_doc = PyUnicode_FromString(op->func.m_ml->ml_doc);
#else
            op->func_doc = PyString_FromString(op->func.m_ml->ml_doc);
#endif
            if (unlikely(op->func_doc == NULL))
                return NULL;
        } else {
            Py_INCREF(Py_None);
            return Py_None;
        }
    }
    Py_INCREF(op->func_doc);
    return op->func_doc;
}
static int
__Pyx_CyFunction_set_doc(__pyx_CyFunctionObject *op, PyObject *value, CYTHON_UNUSED void *context)
{
    PyObject *tmp = op->func_doc;
    if (value == NULL) {
        value = Py_None;
    }
    Py_INCREF(value);
    op->func_doc = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_name(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
{
    if (unlikely(op->func_name == NULL)) {
#if PY_MAJOR_VERSION >= 3
        op->func_name = PyUnicode_InternFromString(op->func.m_ml->ml_name);
#else
        op->func_name = PyString_InternFromString(op->func.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, CYTHON_UNUSED void *context)
{
    PyObject *tmp;
#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;
    }
    tmp = op->func_name;
    Py_INCREF(value);
    op->func_name = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_qualname(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
{
    Py_INCREF(op->func_qualname);
    return op->func_qualname;
}
static int
__Pyx_CyFunction_set_qualname(__pyx_CyFunctionObject *op, PyObject *value, CYTHON_UNUSED void *context)
{
    PyObject *tmp;
#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;
    }
    tmp = op->func_qualname;
    Py_INCREF(value);
    op->func_qualname = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_self(__pyx_CyFunctionObject *m, CYTHON_UNUSED void *closure)
{
    PyObject *self;
    self = m->func_closure;
    if (self == NULL)
        self = Py_None;
    Py_INCREF(self);
    return self;
}
static PyObject *
__Pyx_CyFunction_get_dict(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *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, CYTHON_UNUSED void *context)
{
    PyObject *tmp;
    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;
    }
    tmp = op->func_dict;
    Py_INCREF(value);
    op->func_dict = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_globals(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
{
    Py_INCREF(op->func_globals);
    return op->func_globals;
}
static PyObject *
__Pyx_CyFunction_get_closure(CYTHON_UNUSED __pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
{
    Py_INCREF(Py_None);
    return Py_None;
}
static PyObject *
__Pyx_CyFunction_get_code(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
{
    PyObject* result = (op->func_code) ? op->func_code : Py_None;
    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 = PySequence_ITEM(res, 0);
    if (unlikely(!op->defaults_tuple)) result = -1;
    else {
        op->defaults_kwdict = 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, CYTHON_UNUSED void *context) {
    PyObject* tmp;
    if (!value) {
        value = Py_None;
    } else if (value != Py_None && !PyTuple_Check(value)) {
        PyErr_SetString(PyExc_TypeError,
                        "__defaults__ must be set to a tuple object");
        return -1;
    }
    Py_INCREF(value);
    tmp = op->defaults_tuple;
    op->defaults_tuple = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_defaults(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context) {
    PyObject* result = op->defaults_tuple;
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (__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, CYTHON_UNUSED void *context) {
    PyObject* tmp;
    if (!value) {
        value = Py_None;
    } else if (value != Py_None && !PyDict_Check(value)) {
        PyErr_SetString(PyExc_TypeError,
                        "__kwdefaults__ must be set to a dict object");
        return -1;
    }
    Py_INCREF(value);
    tmp = op->defaults_kwdict;
    op->defaults_kwdict = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_kwdefaults(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context) {
    PyObject* result = op->defaults_kwdict;
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (__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, CYTHON_UNUSED void *context) {
    PyObject* tmp;
    if (!value || value == Py_None) {
        value = NULL;
    } else if (!PyDict_Check(value)) {
        PyErr_SetString(PyExc_TypeError,
                        "__annotations__ must be set to a dict object");
        return -1;
    }
    Py_XINCREF(value);
    tmp = op->func_annotations;
    op->func_annotations = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_annotations(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context) {
    PyObject* result = op->func_annotations;
    if (unlikely(!result)) {
        result = PyDict_New();
        if (unlikely(!result)) return NULL;
        op->func_annotations = result;
    }
    Py_INCREF(result);
    return result;
}
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 *) "__self__", (getter)__Pyx_CyFunction_get_self, 0, 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},
    {0, 0, 0, 0, 0}
};
static PyMemberDef __pyx_CyFunction_members[] = {
    {(char *) "__module__", T_OBJECT, offsetof(PyCFunctionObject, m_module), PY_WRITE_RESTRICTED, 0},
    {0, 0, 0,  0, 0}
};
static PyObject *
__Pyx_CyFunction_reduce(__pyx_CyFunctionObject *m, CYTHON_UNUSED PyObject *args)
{
#if PY_MAJOR_VERSION >= 3
    Py_INCREF(m->func_qualname);
    return m->func_qualname;
#else
    return PyString_FromString(m->func.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
#define __Pyx_CyFunction_weakreflist(cyfunc) ((cyfunc)->func_weakreflist)
#else
#define __Pyx_CyFunction_weakreflist(cyfunc) ((cyfunc)->func.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 (unlikely(op == NULL))
        return NULL;
    op->flags = flags;
    __Pyx_CyFunction_weakreflist(op) = NULL;
    op->func.m_ml = ml;
    op->func.m_self = (PyObject *) op;
    Py_XINCREF(closure);
    op->func_closure = closure;
    Py_XINCREF(module);
    op->func.m_module = module;
    op->func_dict = NULL;
    op->func_name = NULL;
    Py_INCREF(qualname);
    op->func_qualname = qualname;
    op->func_doc = NULL;
    op->func_classobj = NULL;
    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;
    return (PyObject *) op;
}
static int
__Pyx_CyFunction_clear(__pyx_CyFunctionObject *m)
{
    Py_CLEAR(m->func_closure);
    Py_CLEAR(m->func.m_module);
    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);
    Py_CLEAR(m->func_classobj);
    Py_CLEAR(m->defaults_tuple);
    Py_CLEAR(m->defaults_kwdict);
    Py_CLEAR(m->func_annotations);
    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);
    PyObject_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);
    Py_VISIT(m->func.m_module);
    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);
    Py_VISIT(m->func_classobj);
    Py_VISIT(m->defaults_tuple);
    Py_VISIT(m->defaults_kwdict);
    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_descr_get(PyObject *func, PyObject *obj, PyObject *type)
{
#if PY_MAJOR_VERSION < 3
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    if (m->flags & __Pyx_CYFUNCTION_STATICMETHOD) {
        Py_INCREF(func);
        return func;
    }
    if (m->flags & __Pyx_CYFUNCTION_CLASSMETHOD) {
        if (type == NULL)
            type = (PyObject *)(Py_TYPE(obj));
        return __Pyx_PyMethod_New(func, type, (PyObject *)(Py_TYPE(type)));
    }
    if (obj == Py_None)
        obj = NULL;
#endif
    return __Pyx_PyMethod_New(func, obj, type);
}
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) {
    PyCFunctionObject* f = (PyCFunctionObject*)func;
    PyCFunction meth = f->m_ml->ml_meth;
    Py_ssize_t size;
    switch (f->m_ml->ml_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)) {
            size = PyTuple_GET_SIZE(arg);
            if (likely(size == 0))
                return (*meth)(self, NULL);
            PyErr_Format(PyExc_TypeError,
                "%.200s() takes no arguments (%" CYTHON_FORMAT_SSIZE_T "d given)",
                f->m_ml->ml_name, size);
            return NULL;
        }
        break;
    case METH_O:
        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
            size = PyTuple_GET_SIZE(arg);
            if (likely(size == 1)) {
                PyObject *result, *arg0;
                #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
                arg0 = PyTuple_GET_ITEM(arg, 0);
                #else
                arg0 = 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;
            }
            PyErr_Format(PyExc_TypeError,
                "%.200s() takes exactly one argument (%" CYTHON_FORMAT_SSIZE_T "d given)",
                f->m_ml->ml_name, size);
            return NULL;
        }
        break;
    default:
        PyErr_SetString(PyExc_SystemError, "Bad call flags in "
                        "__Pyx_CyFunction_Call. METH_OLDARGS is no "
                        "longer supported!");
        return NULL;
    }
    PyErr_Format(PyExc_TypeError, "%.200s() takes no keyword arguments",
                 f->m_ml->ml_name);
    return NULL;
}
static CYTHON_INLINE PyObject *__Pyx_CyFunction_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    return __Pyx_CyFunction_CallMethod(func, ((PyCFunctionObject*)func)->m_self, arg, kw);
}
static PyObject *__Pyx_CyFunction_CallAsMethod(PyObject *func, PyObject *args, PyObject *kw) {
    PyObject *result;
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *) func;
    if ((cyfunc->flags & __Pyx_CYFUNCTION_CCLASS) && !(cyfunc->flags & __Pyx_CYFUNCTION_STATICMETHOD)) {
        Py_ssize_t argc;
        PyObject *new_args;
        PyObject *self;
        argc = PyTuple_GET_SIZE(args);
        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;
}
static PyTypeObject __pyx_CyFunctionType_type = {
    PyVarObject_HEAD_INIT(0, 0)
    "cython_function_or_method",
    sizeof(__pyx_CyFunctionObject),
    0,
    (destructor) __Pyx_CyFunction_dealloc,
    0,
    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,
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC,
    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_CyFunction_descr_get,
    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 PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
    0,
#endif
#if PY_VERSION_HEX >= 0x030C0000
    0,
#endif
#if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
    0,
#endif
};
static int __pyx_CyFunction_init(void) {
    __pyx_CyFunctionType = __Pyx_FetchCommonType(&__pyx_CyFunctionType_type);
    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));
}

/* 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) {
    PyObject *exc_type = tstate->curexc_type;
    if (exc_type == err) return 1;
    if (unlikely(!exc_type)) return 0;
    if (unlikely(PyTuple_Check(err)))
        return __Pyx_PyErr_ExceptionMatchesTuple(exc_type, err);
    return __Pyx_PyErr_GivenExceptionMatches(exc_type, err);
}
#endif

/* 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, *local_value, *local_tb;
#if CYTHON_FAST_THREAD_STATE
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    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;
#else
    PyErr_Fetch(&local_type, &local_value, &local_tb);
#endif
    PyErr_NormalizeException(&local_type, &local_value, &local_tb);
#if 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;
        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;
    }
    #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;
}

/* Import */
    static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level) {
    PyObject *empty_list = 0;
    PyObject *module = 0;
    PyObject *global_dict = 0;
    PyObject *empty_dict = 0;
    PyObject *list;
    #if PY_MAJOR_VERSION < 3
    PyObject *py_import;
    py_import = __Pyx_PyObject_GetAttrStr(__pyx_b, __pyx_n_s_import);
    if (!py_import)
        goto bad;
    #endif
    if (from_list)
        list = from_list;
    else {
        empty_list = PyList_New(0);
        if (!empty_list)
            goto bad;
        list = empty_list;
    }
    global_dict = PyModule_GetDict(__pyx_m);
    if (!global_dict)
        goto bad;
    empty_dict = PyDict_New();
    if (!empty_dict)
        goto bad;
    {
        #if PY_MAJOR_VERSION >= 3
        if (level == -1) {
            if ((1) && (strchr(__Pyx_MODULE_NAME, '.'))) {
                module = PyImport_ImportModuleLevelObject(
                    name, global_dict, empty_dict, list, 1);
                if (!module) {
                    if (!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 (!py_level)
                goto bad;
            module = PyObject_CallFunctionObjArgs(py_import,
                name, global_dict, empty_dict, list, py_level, (PyObject *)NULL);
            Py_DECREF(py_level);
            #else
            module = PyImport_ImportModuleLevelObject(
                name, global_dict, empty_dict, list, level);
            #endif
        }
    }
bad:
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(py_import);
    #endif
    Py_XDECREF(empty_list);
    Py_XDECREF(empty_dict);
    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)) {
        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;
}

/* BytesEquals */
    static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals) {
#if CYTHON_COMPILING_IN_PYPY
    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
    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
}

/* PyObjectCallNoArg */
    #if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func) {
#if CYTHON_FAST_PYCALL
    if (PyFunction_Check(func)) {
        return __Pyx_PyFunction_FastCall(func, NULL, 0);
    }
#endif
#if defined(__Pyx_CyFunction_USED) && defined(NDEBUG)
    if (likely(PyCFunction_Check(func) || __Pyx_CyFunction_Check(func)))
#else
    if (likely(PyCFunction_Check(func)))
#endif
    {
        if (likely(PyCFunction_GET_FLAGS(func) & METH_NOARGS)) {
            return __Pyx_PyObject_CallMethO(func, NULL);
        }
    }
    return __Pyx_PyObject_Call(func, __pyx_empty_tuple, NULL);
}
#endif

/* CLineInTraceback */
    #ifndef CYTHON_CLINE_IN_TRACEBACK
static int __Pyx_CLineForTraceback(CYTHON_UNUSED PyThreadState *tstate, int c_line) {
    PyObject *use_cline;
    PyObject *ptype, *pvalue, *ptraceback;
#if CYTHON_COMPILING_IN_CPYTHON
    PyObject **cython_runtime_dict;
#endif
    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_GetAttrStr(__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 */
    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);
}

/* AddTraceback */
    #include "compile.h"
#include "frameobject.h"
#include "traceback.h"
#if PY_VERSION_HEX >= 0x030b00a6
  #ifndef Py_BUILD_CORE
    #define Py_BUILD_CORE 1
  #endif
  #include "internal/pycore_frame.h"
#endif
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,
        __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);  // XDECREF since it's only set on Py3 if cline
    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);
}

/* 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);
}

/* Declarations */
    #if CYTHON_CCOMPLEX
  #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
#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

/* 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;
        return _PyLong_FromByteArray(bytes, sizeof(long),
                                     little, !is_unsigned);
    }
}

/* 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
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (long) 0;
                case  1: __PYX_VERIFY_RETURN_INT(long, digit, digits[0])
                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
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (long) 0;
                case -1: __PYX_VERIFY_RETURN_INT(long, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(long,  digit, +digits[0])
                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
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            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 one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            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
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (int) 0;
                case  1: __PYX_VERIFY_RETURN_INT(int, digit, digits[0])
                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
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (int) 0;
                case -1: __PYX_VERIFY_RETURN_INT(int, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(int,  digit, +digits[0])
                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
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            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 one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            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;
}

/* FastTypeChecks */
    #if CYTHON_COMPILING_IN_CPYTHON
static int __Pyx_InBases(PyTypeObject *a, PyTypeObject *b) {
    while (a) {
        a = a->tp_base;
        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);
}
#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) {
    int res = exc_type1 ? __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type1) : 0;
    if (!res) {
        res = __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type2);
    }
    return res;
}
#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

/* CheckBinaryVersion */
    static int __Pyx_check_binary_version(void) {
    char ctversion[5];
    int same=1, i, found_dot;
    const char* rt_from_call = Py_GetVersion();
    PyOS_snprintf(ctversion, 5, "%d.%d", PY_MAJOR_VERSION, PY_MINOR_VERSION);
    found_dot = 0;
    for (i = 0; i < 4; i++) {
        if (!ctversion[i]) {
            same = (rt_from_call[i] < '0' || rt_from_call[i] > '9');
            break;
        }
        if (rt_from_call[i] != ctversion[i]) {
            same = 0;
            break;
        }
    }
    if (!same) {
        char rtversion[5] = {'\0'};
        char message[200];
        for (i=0; i<4; ++i) {
            if (rt_from_call[i] == '.') {
                if (found_dot) break;
                found_dot = 1;
            } else if (rt_from_call[i] < '0' || rt_from_call[i] > '9') {
                break;
            }
            rtversion[i] = rt_from_call[i];
        }
        PyOS_snprintf(message, sizeof(message),
                      "compiletime version %s of module '%.100s' "
                      "does not match runtime version %s",
                      ctversion, __Pyx_MODULE_NAME, rtversion);
        return PyErr_WarnEx(NULL, message, 1);
    }
    return 0;
}

/* InitStrings */
    static int __Pyx_InitStrings(__Pyx_StringTabEntry *t) {
    while (t->p) {
        #if PY_MAJOR_VERSION < 3
        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);
        }
        #else
        if (t->is_unicode | t->is_str) {
            if (t->intern) {
                *t->p = PyUnicode_InternFromString(t->s);
            } else if (t->encoding) {
                *t->p = PyUnicode_Decode(t->s, t->n - 1, t->encoding, NULL);
            } else {
                *t->p = PyUnicode_FromStringAndSize(t->s, t->n - 1);
            }
        } else {
            *t->p = PyBytes_FromStringAndSize(t->s, t->n - 1);
        }
        #endif
        if (!*t->p)
            return -1;
        if (PyObject_Hash(*t->p) == -1)
            return -1;
        ++t;
    }
    return 0;
}

static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char* c_str) {
    return __Pyx_PyUnicode_FromStringAndSize(c_str, (Py_ssize_t)strlen(c_str));
}
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) || (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) {
#if PY_MAJOR_VERSION >= 3
    if (PyLong_Check(result)) {
        if (PyErr_WarnFormat(PyExc_DeprecationWarning, 1,
                "__int__ returned non-int (type %.200s).  "
                "The ability to return an instance of a strict subclass of int "
                "is deprecated, and may be removed in a future version of Python.",
                Py_TYPE(result)->tp_name)) {
            Py_DECREF(result);
            return NULL;
        }
        return result;
    }
#endif
    PyErr_Format(PyExc_TypeError,
                 "__%.4s__ returned non-%.4s (type %.200s)",
                 type_name, type_name, Py_TYPE(result)->tp_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
    const digit* digits = ((PyLongObject*)b)->ob_digit;
    const Py_ssize_t size = Py_SIZE(b);
    if (likely(__Pyx_sst_abs(size) <= 1)) {
        ival = likely(size) ? digits[0] : 0;
        if (size == -1) ival = -ival;
        return ival;
    } else {
      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);
}


#endif /* Py_PYTHON_H */
