/* Generated by Cython 0.29.14 */

/* BEGIN: Cython Metadata
{
    "distutils": {
        "name": "volmdlr.core_compiled",
        "sources": [
            "volmdlr/core_compiled.pyx"
        ]
    },
    "module_name": "volmdlr.core_compiled"
}
END: Cython Metadata */

#define 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+.
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#define CYTHON_ABI "0_29_14"
#define CYTHON_HEX_VERSION 0x001D0EF0
#define CYTHON_FUTURE_DIVISION 0
#include <stddef.h>
#ifndef offsetof
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#endif
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    #define __cdecl
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    #define __fastcall
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#endif
#ifndef DL_IMPORT
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#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
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#ifdef PYPY_VERSION
  #define CYTHON_COMPILING_IN_PYPY 1
  #define CYTHON_COMPILING_IN_PYSTON 0
  #define CYTHON_COMPILING_IN_CPYTHON 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
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  #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
  #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
#elif defined(PYSTON_VERSION)
  #define CYTHON_COMPILING_IN_PYPY 0
  #define CYTHON_COMPILING_IN_PYSTON 1
  #define CYTHON_COMPILING_IN_CPYTHON 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
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  #define CYTHON_COMPILING_IN_PYPY 0
  #define CYTHON_COMPILING_IN_PYSTON 0
  #define CYTHON_COMPILING_IN_CPYTHON 1
  #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
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  #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 1
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  #ifndef CYTHON_USE_PYLIST_INTERNALS
    #define CYTHON_USE_PYLIST_INTERNALS 1
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  #ifndef CYTHON_USE_UNICODE_INTERNALS
    #define CYTHON_USE_UNICODE_INTERNALS 1
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  #if PY_VERSION_HEX < 0x030300F0
    #undef CYTHON_USE_UNICODE_WRITER
    #define CYTHON_USE_UNICODE_WRITER 0
  #elif !defined(CYTHON_USE_UNICODE_WRITER)
    #define CYTHON_USE_UNICODE_WRITER 1
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  #ifndef CYTHON_AVOID_BORROWED_REFS
    #define CYTHON_AVOID_BORROWED_REFS 0
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  #ifndef CYTHON_ASSUME_SAFE_MACROS
    #define CYTHON_ASSUME_SAFE_MACROS 1
  #endif
  #ifndef CYTHON_UNPACK_METHODS
    #define CYTHON_UNPACK_METHODS 1
  #endif
  #ifndef CYTHON_FAST_THREAD_STATE
    #define CYTHON_FAST_THREAD_STATE 1
  #endif
  #ifndef CYTHON_FAST_PYCALL
    #define CYTHON_FAST_PYCALL 1
  #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)
  #endif
  #ifndef CYTHON_USE_EXC_INFO_STACK
    #define CYTHON_USE_EXC_INFO_STACK (PY_VERSION_HEX >= 0x030700A3)
  #endif
#endif
#if !defined(CYTHON_FAST_PYCCALL)
#define CYTHON_FAST_PYCCALL  (CYTHON_FAST_PYCALL && PY_VERSION_HEX >= 0x030600B1)
#endif
#if CYTHON_USE_PYLONG_INTERNALS
  #include "longintrepr.h"
  #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

#if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x02070600 && !defined(Py_OptimizeFlag)
  #define Py_OptimizeFlag 0
#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"
#if PY_VERSION_HEX >= 0x030800A4 && PY_VERSION_HEX < 0x030800B2
  #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
          PyCode_New(a, 0, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
#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)
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  #define __Pyx_DefaultClassType PyType_Type
#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()
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  #define __Pyx_PyThreadState_Current _PyThreadState_Current
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#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
  #define __Pyx_PyUnicode_READY(op)       (likely(PyUnicode_IS_READY(op)) ?\
                                              0 : _PyUnicode_Ready((PyObject *)(op)))
  #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)
  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : PyUnicode_GET_SIZE(u)))
#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
  #define PyObject_Unicode             PyObject_Str
#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))
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#ifndef __Pyx_PyAsyncMethodsStruct
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static CYTHON_INLINE float __PYX_NAN() {
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#if defined(__CYGWIN__) && defined(_LDBL_EQ_DBL)
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#define __PYX_ERR(f_index, lineno, Ln_error) \
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#ifndef __PYX_EXTERN_C
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#define __PYX_HAVE__volmdlr__core_compiled
#define __PYX_HAVE_API__volmdlr__core_compiled
/* 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)  (\
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#elif defined (__GNUC__)
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static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject*);
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#define __Pyx_PyBytes_FromStringAndSize PyBytes_FromStringAndSize
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char*);
#if PY_MAJOR_VERSION < 3
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#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))
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}
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#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*);
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static int __Pyx_sys_getdefaultencoding_not_ascii;
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    Py_DECREF(sys);
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bad:
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#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT && PY_MAJOR_VERSION >= 3
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#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) {
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bad:
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static PyObject *__pyx_m = NULL;
static PyObject *__pyx_d;
static PyObject *__pyx_b;
static PyObject *__pyx_cython_runtime = NULL;
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static PyObject *__pyx_empty_bytes;
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static const char *__pyx_filename;


static const char *__pyx_f[] = {
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/*--- Type declarations ---*/
struct __pyx_ctuple_double__and_double;
typedef struct __pyx_ctuple_double__and_double __pyx_ctuple_double__and_double;
struct __pyx_ctuple_double__and_double__and_double;
typedef struct __pyx_ctuple_double__and_double__and_double __pyx_ctuple_double__and_double__and_double;
struct __pyx_ctuple_710d4__double__and_double__and_double__and_double__and_double__and_double__and_double__and_double__and_double__etc;
typedef struct __pyx_ctuple_710d4__double__and_double__and_double__and_double__and_double__and_double__and_double__and_double__and_double__etc __pyx_ctuple_710d4__double__and_double__and_double__and_double__and_double__and_double__and_double__and_double__and_double__etc;
struct __pyx_ctuple_double__and___dunderpyx_ctuple_double__dunderand_double;
typedef struct __pyx_ctuple_double__and___dunderpyx_ctuple_double__dunderand_double __pyx_ctuple_double__and___dunderpyx_ctuple_double__dunderand_double;
struct __pyx_defaults;
typedef struct __pyx_defaults __pyx_defaults;

/* "volmdlr/core_compiled.pyx":21
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struct __pyx_ctuple_double__and_double {
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};

/* "volmdlr/core_compiled.pyx":67
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 * cdef (double, double, double) Csub3D(double u1, double u2, double u3,             # <<<<<<<<<<<<<<
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struct __pyx_ctuple_double__and_double__and_double {
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/* "volmdlr/core_compiled.pyx":173
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struct __pyx_ctuple_710d4__double__and_double__and_double__and_double__and_double__and_double__and_double__and_double__and_double__etc {
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  double f2;
  double f3;
  double f4;
  double f5;
  double f6;
  double f7;
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};

/* "volmdlr/core_compiled.pyx":219
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struct __pyx_ctuple_double__and___dunderpyx_ctuple_double__dunderand_double {
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  __pyx_ctuple_double__and_double f1;
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struct __pyx_defaults {
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#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);

/* 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)  {\
    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);\
}
#define __Pyx_GetModuleGlobalNameUncached(var, name)  {\
    PY_UINT64_T __pyx_dict_version;\
    PyObject *__pyx_dict_cached_value;\
    (var) = __Pyx__GetModuleGlobalName(name, &__pyx_dict_version, &__pyx_dict_cached_value);\
}
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

/* 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

/* 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
  static size_t __pyx_pyframe_localsplus_offset = 0;
  #include "frameobject.h"
  #define __Pxy_PyFrame_Initialize_Offsets()\
    ((void)__Pyx_BUILD_ASSERT_EXPR(sizeof(PyFrameObject) == offsetof(PyFrameObject, f_localsplus) + Py_MEMBER_SIZE(PyFrameObject, f_localsplus)),\
     (void)(__pyx_pyframe_localsplus_offset = ((size_t)PyFrame_Type.tp_basicsize) - Py_MEMBER_SIZE(PyFrameObject, f_localsplus)))
  #define __Pyx_PyFrame_GetLocalsplus(frame)\
    (assert(__pyx_pyframe_localsplus_offset), (PyObject **)(((char *)(frame)) + __pyx_pyframe_localsplus_offset))
#endif

/* 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

/* 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);

/* 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);

/* None.proto */
static CYTHON_INLINE int __Pyx_mod_int(int, int);

/* PyObjectSetAttrStr.proto */
#if CYTHON_USE_TYPE_SLOTS
#define __Pyx_PyObject_DelAttrStr(o,n) __Pyx_PyObject_SetAttrStr(o, n, NULL)
static CYTHON_INLINE int __Pyx_PyObject_SetAttrStr(PyObject* obj, PyObject* attr_name, PyObject* value);
#else
#define __Pyx_PyObject_DelAttrStr(o,n)   PyObject_DelAttr(o,n)
#define __Pyx_PyObject_SetAttrStr(o,n,v) PyObject_SetAttr(o,n,v)
#endif

/* 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

/* 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

/* SliceObject.proto */
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetSlice(
        PyObject* obj, Py_ssize_t cstart, Py_ssize_t cstop,
        PyObject** py_start, PyObject** py_stop, PyObject** py_slice,
        int has_cstart, int has_cstop, int wraparound);

/* 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

/* SetItemInt.proto */
#define __Pyx_SetItemInt(o, i, v, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_SetItemInt_Fast(o, (Py_ssize_t)i, v, is_list, wraparound, boundscheck) :\
    (is_list ? (PyErr_SetString(PyExc_IndexError, "list assignment index out of range"), -1) :\
               __Pyx_SetItemInt_Generic(o, to_py_func(i), v)))
static int __Pyx_SetItemInt_Generic(PyObject *o, PyObject *j, PyObject *v);
static CYTHON_INLINE int __Pyx_SetItemInt_Fast(PyObject *o, Py_ssize_t i, PyObject *v,
                                               int is_list, int wraparound, int boundscheck);

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

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

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

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

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

/* StrEquals.proto */
#if PY_MAJOR_VERSION >= 3
#define __Pyx_PyString_Equals __Pyx_PyUnicode_Equals
#else
#define __Pyx_PyString_Equals __Pyx_PyBytes_Equals
#endif

/* ArgTypeTest.proto */
#define __Pyx_ArgTypeTest(obj, type, none_allowed, name, exact)\
    ((likely((Py_TYPE(obj) == type) | (none_allowed && (obj == Py_None)))) ? 1 :\
        __Pyx__ArgTypeTest(obj, type, name, exact))
static int __Pyx__ArgTypeTest(PyObject *obj, PyTypeObject *type, const char *name, int exact);

/* 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);
        Py_SIZE(list) = len+1;
        return 0;
    }
    return PyList_Append(list, x);
}
#else
#define __Pyx_ListComp_Append(L,x) PyList_Append(L,x)
#endif

/* pyobject_as_double.proto */
static double __Pyx__PyObject_AsDouble(PyObject* obj);
#if CYTHON_COMPILING_IN_PYPY
#define __Pyx_PyObject_AsDouble(obj)\
(likely(PyFloat_CheckExact(obj)) ? PyFloat_AS_DOUBLE(obj) :\
 likely(PyInt_CheckExact(obj)) ?\
 PyFloat_AsDouble(obj) : __Pyx__PyObject_AsDouble(obj))
#else
#define __Pyx_PyObject_AsDouble(obj)\
((likely(PyFloat_CheckExact(obj))) ?\
 PyFloat_AS_DOUBLE(obj) : __Pyx__PyObject_AsDouble(obj))
#endif

/* PySequenceContains.proto */
static CYTHON_INLINE int __Pyx_PySequence_ContainsTF(PyObject* item, PyObject* seq, int eq) {
    int result = PySequence_Contains(seq, item);
    return unlikely(result < 0) ? result : (result == (eq == Py_EQ));
}

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

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

/* CalculateMetaclass.proto */
static PyObject *__Pyx_CalculateMetaclass(PyTypeObject *metaclass, PyObject *bases);

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

/* CythonFunction.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;
    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))
#define __Pyx_CyFunction_NewEx(ml, flags, qualname, self, module, globals, code)\
    __Pyx_CyFunction_New(__pyx_CyFunctionType, ml, flags, qualname, self, module, globals, code)
static PyObject *__Pyx_CyFunction_New(PyTypeObject *, 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);

/* SetNameInClass.proto */
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1
#define __Pyx_SetNameInClass(ns, name, value)\
    (likely(PyDict_CheckExact(ns)) ? _PyDict_SetItem_KnownHash(ns, name, value, ((PyASCIIObject *) name)->hash) : PyObject_SetItem(ns, name, value))
#elif CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_SetNameInClass(ns, name, value)\
    (likely(PyDict_CheckExact(ns)) ? PyDict_SetItem(ns, name, value) : PyObject_SetItem(ns, name, value))
#else
#define __Pyx_SetNameInClass(ns, name, value)  PyObject_SetItem(ns, name, value)
#endif

/* Py3ClassCreate.proto */
static PyObject *__Pyx_Py3MetaclassPrepare(PyObject *metaclass, PyObject *bases, PyObject *name, PyObject *qualname,
                                           PyObject *mkw, PyObject *modname, PyObject *doc);
static PyObject *__Pyx_Py3ClassCreate(PyObject *metaclass, PyObject *name, PyObject *bases, PyObject *dict,
                                      PyObject *mkw, int calculate_metaclass, int allow_py2_metaclass);

/* ClassMethod.proto */
#include "descrobject.h"
static CYTHON_UNUSED PyObject* __Pyx_Method_ClassMethod(PyObject *method);

/* 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);

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

/* ToPyCTupleUtility.proto */
static PyObject* __pyx_convert__to_py___pyx_ctuple_double__and_double(__pyx_ctuple_double__and_double);

/* ToPyCTupleUtility.proto */
static PyObject* __pyx_convert__to_py___pyx_ctuple_double__and_double__and_double(__pyx_ctuple_double__and_double__and_double);

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value);

/* FromPyCTupleUtility.proto */
static __pyx_ctuple_double__and_double __pyx_convert__from_py___pyx_ctuple_double__and_double(PyObject *);

/* ToPyCTupleUtility.proto */
static PyObject* __pyx_convert__to_py___pyx_ctuple_double__and___dunderpyx_ctuple_double__dunderand_double(__pyx_ctuple_double__and___dunderpyx_ctuple_double__dunderand_double);

/* Print.proto */
static int __Pyx_Print(PyObject*, PyObject *, int);
#if CYTHON_COMPILING_IN_PYPY || PY_MAJOR_VERSION >= 3
static PyObject* __pyx_print = 0;
static PyObject* __pyx_print_kwargs = 0;
#endif

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

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

/* PrintOne.proto */
static int __Pyx_PrintOne(PyObject* stream, PyObject *o);

/* 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 'volmdlr.core_compiled' */
static __pyx_ctuple_double__and_double __pyx_f_7volmdlr_13core_compiled_Csub2D(double, double, double, double); /*proto*/
static __pyx_ctuple_double__and_double __pyx_f_7volmdlr_13core_compiled_Cadd2D(double, double, double, double); /*proto*/
static __pyx_ctuple_double__and_double __pyx_f_7volmdlr_13core_compiled_Cmul2D(double, double, double); /*proto*/
static double __pyx_f_7volmdlr_13core_compiled_CVector2DDot(double, double, double, double); /*proto*/
static double __pyx_f_7volmdlr_13core_compiled_CVector2DNorm(double, double); /*proto*/
static __pyx_ctuple_double__and_double__and_double __pyx_f_7volmdlr_13core_compiled_Csub3D(double, double, double, double, double, double); /*proto*/
static __pyx_ctuple_double__and_double__and_double __pyx_f_7volmdlr_13core_compiled_Cadd3D(double, double, double, double, double, double); /*proto*/
static __pyx_ctuple_double__and_double__and_double __pyx_f_7volmdlr_13core_compiled_Cmul3D(double, double, double, double); /*proto*/
static double __pyx_f_7volmdlr_13core_compiled_CVector3DDot(double, double, double, double, double, double); /*proto*/
static double __pyx_f_7volmdlr_13core_compiled_CVector3DNorm(double, double, double); /*proto*/
static __pyx_ctuple_double__and_double__and_double __pyx_f_7volmdlr_13core_compiled_C_vector3D_cross(double, double, double, double, double, double); /*proto*/
static __pyx_ctuple_double__and_double__and_double __pyx_f_7volmdlr_13core_compiled_C_vector3D_rotation(double, double, double, double, double, double, double, double, double, double); /*proto*/
static __pyx_ctuple_double__and_double__and_double __pyx_f_7volmdlr_13core_compiled_C_matrix_vector_multiplication3(double, double, double, double, double, double, double, double, double, double, double, double); /*proto*/
static __pyx_ctuple_710d4__double__and_double__and_double__and_double__and_double__and_double__and_double__and_double__and_double__etc __pyx_f_7volmdlr_13core_compiled_C_matrix_multiplication3(double, double, double, double, double, double, double, double, double, double, double, double, double, double, double, double, double, double); /*proto*/
static __pyx_ctuple_double__and___dunderpyx_ctuple_double__dunderand_double __pyx_f_7volmdlr_13core_compiled_CLineSegment2DPointDistance(__pyx_ctuple_double__and_double, __pyx_ctuple_double__and_double, __pyx_ctuple_double__and_double); /*proto*/
#define __Pyx_MODULE_NAME "volmdlr.core_compiled"
extern int __pyx_module_is_main_volmdlr__core_compiled;
int __pyx_module_is_main_volmdlr__core_compiled = 0;

/* Implementation of 'volmdlr.core_compiled' */
static PyObject *__pyx_builtin_property;
static PyObject *__pyx_builtin_range;
static PyObject *__pyx_builtin_ZeroDivisionError;
static PyObject *__pyx_builtin_round;
static PyObject *__pyx_builtin_DeprecationWarning;
static PyObject *__pyx_builtin_ValueError;
static PyObject *__pyx_builtin_all;
static PyObject *__pyx_builtin_zip;
static PyObject *__pyx_builtin_enumerate;
static const char __pyx_k_M[] = "M";
static const char __pyx_k_a[] = "a";
static const char __pyx_k_g[] = "g";
static const char __pyx_k_i[] = "i";
static const char __pyx_k_k[] = "k";
static const char __pyx_k_n[] = "n";
static const char __pyx_k_o[] = "o";
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_u[] = "u";
static const char __pyx_k_v[] = "v";
static const char __pyx_k_w[] = "w";
static const char __pyx_k_x[] = "x";
static const char __pyx_k_y[] = "y";
static const char __pyx_k_z[] = "z";
static const char __pyx_k_3d[] = "3d";
static const char __pyx_k_P1[] = "P1";
static const char __pyx_k_P2[] = "P2";
static const char __pyx_k_XY[] = "XY";
static const char __pyx_k__2[] = "{}: {}";
static const char __pyx_k__4[] = "";
static const char __pyx_k__7[] = "-";
static const char __pyx_k__8[] = "-.";
static const char __pyx_k_ax[] = "ax";
static const char __pyx_k_eq[] = "__eq__";
static const char __pyx_k_iv[] = "iv";
static const char __pyx_k_le[] = "__le__";
static const char __pyx_k_lt[] = "__lt__";
static const char __pyx_k_lw[] = "lw";
static const char __pyx_k_ok[] = "ok";
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_p4[] = "p4";
static const char __pyx_k_u1[] = "u1";
static const char __pyx_k_u2[] = "u2";
static const char __pyx_k_u3[] = "u3";
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_vx[] = "vx";
static const char __pyx_k_vy[] = "vy";
static const char __pyx_k_vz[] = "vz";
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_xs[] = "xs";
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_ys[] = "ys";
static const char __pyx_k_z1[] = "z1";
static const char __pyx_k_zs[] = "zs";
static const char __pyx_k_Dot[] = "Dot";
static const char __pyx_k_M11[] = "M11";
static const char __pyx_k_M12[] = "M12";
static const char __pyx_k_M13[] = "M13";
static const char __pyx_k_M21[] = "M21";
static const char __pyx_k_M22[] = "M22";
static const char __pyx_k_M23[] = "M23";
static const char __pyx_k_M31[] = "M31";
static const char __pyx_k_M32[] = "M32";
static const char __pyx_k_M33[] = "M33";
static const char __pyx_k_O2D[] = "O2D";
static const char __pyx_k_O3D[] = "O3D";
static const char __pyx_k_OXY[] = "OXY";
static const char __pyx_k_U_V[] = "{}: U={}, V={}";
static const char __pyx_k_X2D[] = "X2D";
static const char __pyx_k_X3D[] = "X3D";
static const char __pyx_k_Y2D[] = "Y2D";
static const char __pyx_k_Y3D[] = "Y3D";
static const char __pyx_k_Z3D[] = "Z3D";
static const char __pyx_k__11[] = ",";
static const char __pyx_k__14[] = "-|>";
static const char __pyx_k__15[] = "[{} {} {}]\n[{} {} {}]\n[{} {} {}]\n";
static const char __pyx_k__19[] = "$";
static const char __pyx_k__20[] = "*";
static const char __pyx_k_add[] = "__add__";
static const char __pyx_k_all[] = "all";
static const char __pyx_k_cls[] = "cls";
static const char __pyx_k_cos[] = "cos";
static const char __pyx_k_det[] = "det";
static const char __pyx_k_doc[] = "__doc__";
static const char __pyx_k_dot[] = "dot";
static const char __pyx_k_end[] = "end";
static const char __pyx_k_fig[] = "fig";
static const char __pyx_k_key[] = "key";
static const char __pyx_k_mul[] = "__mul__";
static const char __pyx_k_neg[] = "__neg__";
static const char __pyx_k_new[] = "new";
static const char __pyx_k_npy[] = "npy";
static const char __pyx_k_old[] = "old";
static const char __pyx_k_ov1[] = "ov1";
static const char __pyx_k_ov2[] = "ov2";
static const char __pyx_k_ov3[] = "ov3";
static const char __pyx_k_p1x[] = "p1x";
static const char __pyx_k_p1y[] = "p1y";
static const char __pyx_k_p2x[] = "p2x";
static const char __pyx_k_p2y[] = "p2y";
static const char __pyx_k_p3d[] = "p3d";
static const char __pyx_k_phi[] = "phi";
static const char __pyx_k_plt[] = "plt";
static const char __pyx_k_pp1[] = "pp1";
static const char __pyx_k_psi[] = "psi";
static const char __pyx_k_sin[] = "sin";
static const char __pyx_k_str[] = "str";
static const char __pyx_k_sub[] = "__sub__";
static const char __pyx_k_x2d[] = "x2d";
static const char __pyx_k_y2d[] = "y2d";
static const char __pyx_k_zip[] = "zip";
static const char __pyx_k_Copy[] = "Copy";
static const char __pyx_k_Draw[] = "Draw";
static const char __pyx_k_List[] = "List";
static const char __pyx_k_Norm[] = "Norm";
static const char __pyx_k_Pinv[] = "Pinv";
static const char __pyx_k_To2D[] = "To2D";
static const char __pyx_k_To3D[] = "To3D";
static const char __pyx_k__285[] = "_";
static const char __pyx_k_args[] = "args";
static const char __pyx_k_axis[] = "axis";
static const char __pyx_k_copy[] = "copy";
static const char __pyx_k_data[] = "data";
static const char __pyx_k_dict[] = "__dict__";
static const char __pyx_k_draw[] = "draw";
static const char __pyx_k_file[] = "file";
static const char __pyx_k_hash[] = "__hash__";
static const char __pyx_k_init[] = "__init__";
static const char __pyx_k_item[] = "item";
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_name[] = "__name__";
static const char __pyx_k_plot[] = "plot";
static const char __pyx_k_radd[] = "__radd__";
static const char __pyx_k_repr[] = "__repr__";
static const char __pyx_k_rmul[] = "__rmul__";
static const char __pyx_k_rsub[] = "__rsub__";
static const char __pyx_k_self[] = "self";
static const char __pyx_k_side[] = "side";
static const char __pyx_k_size[] = "size";
static const char __pyx_k_test[] = "__test__";
static const char __pyx_k_text[] = "text";
static const char __pyx_k_type[] = "type";
static const char __pyx_k_unit[] = "unit";
static const char __pyx_k_warn[] = "warn";
static const char __pyx_k_xmax[] = "xmax";
static const char __pyx_k_xmin[] = "xmin";
static const char __pyx_k_xs3d[] = "xs3d";
static const char __pyx_k_ymax[] = "ymax";
static const char __pyx_k_ymin[] = "ymin";
static const char __pyx_k_ys3d[] = "ys3d";
static const char __pyx_k_zmax[] = "zmax";
static const char __pyx_k_zmin[] = "zmin";
static const char __pyx_k_zs3d[] = "zs3d";
static const char __pyx_k_Basis[] = "Basis";
static const char __pyx_k_Cross[] = "Cross";
static const char __pyx_k_O_U_V[] = "{}: O={} U={}, V={}";
static const char __pyx_k_P1inv[] = "P1inv";
static const char __pyx_k_Tuple[] = "Tuple";
static const char __pyx_k_U_V_W[] = "{}: U={}, V={}, W={}";
static const char __pyx_k_add2D[] = "add2D";
static const char __pyx_k_add3D[] = "add3D";
static const char __pyx_k_angle[] = "angle";
static const char __pyx_k_array[] = "array";
static const char __pyx_k_arrow[] = "arrow";
static const char __pyx_k_black[] = "black";
static const char __pyx_k_class[] = "__class__";
static const char __pyx_k_color[] = "color";
static const char __pyx_k_equal[] = "equal";
static const char __pyx_k_frame[] = "frame";
static const char __pyx_k_label[] = "label";
static const char __pyx_k_line1[] = "line1";
static const char __pyx_k_line2[] = "line2";
static const char __pyx_k_mul2D[] = "mul2D";
static const char __pyx_k_mul3D[] = "mul3D";
static const char __pyx_k_new_u[] = "new_u";
static const char __pyx_k_new_v[] = "new_v";
static const char __pyx_k_new_w[] = "new_w";
static const char __pyx_k_numpy[] = "numpy";
static const char __pyx_k_point[] = "point";
static const char __pyx_k_print[] = "print";
static const char __pyx_k_range[] = "range";
static const char __pyx_k_round[] = "round";
static const char __pyx_k_split[] = "split";
static const char __pyx_k_style[] = "style";
static const char __pyx_k_sub2D[] = "sub2D";
static const char __pyx_k_sub3D[] = "sub3D";
static const char __pyx_k_theta[] = "theta";
static const char __pyx_k_value[] = "value";
static const char __pyx_k_width[] = "width";
static const char __pyx_k_xints[] = "xints";
static const char __pyx_k_Vector[] = "Vector";
static const char __pyx_k_angles[] = "angles";
static const char __pyx_k_center[] = "center";
static const char __pyx_k_figure[] = "figure";
static const char __pyx_k_format[] = "format";
static const char __pyx_k_import[] = "__import__";
static const char __pyx_k_inside[] = "inside";
static const char __pyx_k_kwargs[] = "kwargs";
static const char __pyx_k_marker[] = "marker";
static const char __pyx_k_matrix[] = "matrix";
static const char __pyx_k_module[] = "__module__";
static const char __pyx_k_name_2[] = "name";
static const char __pyx_k_offset[] = "offset";
static const char __pyx_k_origin[] = "origin";
static const char __pyx_k_parent[] = "parent";
static const char __pyx_k_plot2d[] = "plot2d";
static const char __pyx_k_point1[] = "point1";
static const char __pyx_k_point2[] = "point2";
static const char __pyx_k_points[] = "points";
static const char __pyx_k_proj3d[] = "proj3d";
static const char __pyx_k_random[] = "random";
static const char __pyx_k_typing[] = "typing";
static const char __pyx_k_vect_u[] = "vect_u";
static const char __pyx_k_vect_v[] = "vect_v";
static const char __pyx_k_vect_w[] = "vect_w";
static const char __pyx_k_vector[] = "vector";
static const char __pyx_k_Arrow3D[] = "Arrow3D";
static const char __pyx_k_Babylon[] = "Babylon";
static const char __pyx_k_Basis2D[] = "Basis2D";
static const char __pyx_k_Basis3D[] = "Basis3D";
static const char __pyx_k_Frame2D[] = "Frame2D";
static const char __pyx_k_Frame3D[] = "Frame3D";
static const char __pyx_k_MPLPlot[] = "MPLPlot";
static const char __pyx_k_O_U_V_W[] = "{}: O={} U={}, V={}, W={}";
static const char __pyx_k_Point2D[] = "Point2D";
static const char __pyx_k_Point3D[] = "Point3D";
static const char __pyx_k_TypeVar[] = "TypeVar";
static const char __pyx_k_abs_tol[] = "abs_tol";
static const char __pyx_k_det_inv[] = "det_inv";
static const char __pyx_k_getitem[] = "__getitem__";
static const char __pyx_k_inverse[] = "inverse";
static const char __pyx_k_isclose[] = "isclose";
static const char __pyx_k_maximum[] = "maximum";
static const char __pyx_k_minimum[] = "minimum";
static const char __pyx_k_ndigits[] = "ndigits";
static const char __pyx_k_opacity[] = "opacity";
static const char __pyx_k_prepare[] = "__prepare__";
static const char __pyx_k_range_2[] = "range_";
static const char __pyx_k_round_2[] = "__round__";
static const char __pyx_k_scatter[] = "scatter";
static const char __pyx_k_setitem[] = "__setitem__";
static const char __pyx_k_truediv[] = "__truediv__";
static const char __pyx_k_uniform[] = "uniform";
static const char __pyx_k_vector1[] = "vector1";
static const char __pyx_k_vector2[] = "vector2";
static const char __pyx_k_vectors[] = "vectors";
static const char __pyx_k_verts3d[] = "_verts3d";
static const char __pyx_k_Matrix22[] = "Matrix22";
static const char __pyx_k_Matrix33[] = "Matrix33";
static const char __pyx_k_Rotation[] = "Rotation";
static const char __pyx_k_Vector2D[] = "Vector2D";
static const char __pyx_k_Vector3D[] = "Vector3D";
static const char __pyx_k_contains[] = "__contains__";
static const char __pyx_k_new_base[] = "new_base";
static const char __pyx_k_origin2d[] = "origin2d";
static const char __pyx_k_property[] = "property";
static const char __pyx_k_qualname[] = "__qualname__";
static const char __pyx_k_renderer[] = "renderer";
static const char __pyx_k_rtruediv[] = "__rtruediv__";
static const char __pyx_k_subplots[] = "subplots";
static const char __pyx_k_to_frame[] = "to_frame";
static const char __pyx_k_to_numpy[] = "to_numpy";
static const char __pyx_k_vector2D[] = "vector2D";
static const char __pyx_k_warnings[] = "warnings";
static const char __pyx_k_Normalize[] = "Normalize";
static const char __pyx_k_add_patch[] = "add_patch";
static const char __pyx_k_all_equal[] = "all_equal";
static const char __pyx_k_amplitude[] = "amplitude";
static const char __pyx_k_arguments[] = "arguments";
static const char __pyx_k_babylonjs[] = "babylonjs";
static const char __pyx_k_cos_angle[] = "cos_angle";
static const char __pyx_k_enumerate[] = "enumerate";
static const char __pyx_k_from_step[] = "from_step";
static const char __pyx_k_linestyle[] = "linestyle";
static const char __pyx_k_metaclass[] = "__metaclass__";
static const char __pyx_k_new_frame[] = "new_frame";
static const char __pyx_k_plot_data[] = "plot_data";
static const char __pyx_k_sin_angle[] = "sin_angle";
static const char __pyx_k_Basis___eq[] = "Basis.__eq__";
static const char __pyx_k_Basis_copy[] = "Basis.copy";
static const char __pyx_k_FancyArrow[] = "FancyArrow";
static const char __pyx_k_ValueError[] = "ValueError";
static const char __pyx_k_add_artist[] = "add_artist";
static const char __pyx_k_arrowstyle[] = "arrowstyle";
static const char __pyx_k_head_width[] = "head_width";
static const char __pyx_k_mean_point[] = "mean_point";
static const char __pyx_k_new_origin[] = "new_origin";
static const char __pyx_k_new_vector[] = "new_vector";
static const char __pyx_k_projection[] = "projection";
static const char __pyx_k_set_aspect[] = "set_aspect";
static const char __pyx_k_x_rotation[] = "x_rotation";
static const char __pyx_k_y_rotation[] = "y_rotation";
static const char __pyx_k_z_rotation[] = "z_rotation";
static const char __pyx_k_MiddlePoint[] = "MiddlePoint";
static const char __pyx_k_Translation[] = "Translation";
static const char __pyx_k_Vector2DDot[] = "Vector2DDot";
static const char __pyx_k_Vector3DDot[] = "Vector3DDot";
static const char __pyx_k_Vector___le[] = "Vector.__le__";
static const char __pyx_k_Vector___lt[] = "Vector.__lt__";
static const char __pyx_k_Vector_copy[] = "Vector.copy";
static const char __pyx_k_add_subplot[] = "add_subplot";
static const char __pyx_k_determinent[] = "determinent";
static const char __pyx_k_float_value[] = "float_value";
static const char __pyx_k_get_vectors[] = "_get_vectors";
static const char __pyx_k_object_dict[] = "object_dict";
static const char __pyx_k_other_basis[] = "other_basis";
static const char __pyx_k_other_frame[] = "other_frame";
static const char __pyx_k_Arrow3D_draw[] = "Arrow3D.draw";
static const char __pyx_k_Basis2D_Copy[] = "Basis2D.Copy";
static const char __pyx_k_Basis3D_copy[] = "Basis3D.copy";
static const char __pyx_k_Basis___hash[] = "Basis.__hash__";
static const char __pyx_k_DessiaObject[] = "DessiaObject";
static const char __pyx_k_Frame2D_Copy[] = "Frame2D.Copy";
static const char __pyx_k_Frame2D_Draw[] = "Frame2D.Draw";
static const char __pyx_k_Frame3D_copy[] = "Frame3D.copy";
static const char __pyx_k_NormalVector[] = "NormalVector";
static const char __pyx_k_Point2D_To3D[] = "Point2D.To3D";
static const char __pyx_k_Point3D_Copy[] = "Point3D.Copy";
static const char __pyx_k_Point3D_To2D[] = "Point3D.To2D";
static const char __pyx_k_Point3D_copy[] = "Point3D.copy";
static const char __pyx_k_Vector2DNorm[] = "Vector2DNorm";
static const char __pyx_k_Vector2D_Dot[] = "Vector2D.Dot";
static const char __pyx_k_Vector3DNorm[] = "Vector3DNorm";
static const char __pyx_k_Vector3D_Dot[] = "Vector3D.Dot";
static const char __pyx_k_denominateur[] = "denominateur";
static const char __pyx_k_line1_parent[] = "line1.parent = {};\n";
static const char __pyx_k_line2_parent[] = "line2.parent = {};\n";
static const char __pyx_k_line3_parent[] = "line3.parent = {};\n";
static const char __pyx_k_other_matrix[] = "other_matrix";
static const char __pyx_k_other_vector[] = "other_vector";
static const char __pyx_k_plane_origin[] = "plane_origin";
static const char __pyx_k_stroke_width[] = "stroke_width";
static const char __pyx_k_Basis2D___neg[] = "Basis2D.__neg__";
static const char __pyx_k_Basis3D___add[] = "Basis3D.__add__";
static const char __pyx_k_Basis3D___neg[] = "Basis3D.__neg__";
static const char __pyx_k_Basis3D___sub[] = "Basis3D.__sub__";
static const char __pyx_k_EulerRotation[] = "EulerRotation";
static const char __pyx_k_Frame2D_Basis[] = "Frame2D.Basis";
static const char __pyx_k_Frame2D___add[] = "Frame2D.__add__";
static const char __pyx_k_Frame2D___neg[] = "Frame2D.__neg__";
static const char __pyx_k_Frame2D___sub[] = "Frame2D.__sub__";
static const char __pyx_k_Frame3D_Basis[] = "Frame3D.Basis";
static const char __pyx_k_Frame3D___add[] = "Frame3D.__add__";
static const char __pyx_k_Frame3D___neg[] = "Frame3D.__neg__";
static const char __pyx_k_Frame3D___sub[] = "Frame3D.__sub__";
static const char __pyx_k_Point2D___add[] = "Point2D.__add__";
static const char __pyx_k_Point2D___mul[] = "Point2D.__mul__";
static const char __pyx_k_Point2D___neg[] = "Point2D.__neg__";
static const char __pyx_k_Point2D___sub[] = "Point2D.__sub__";
static const char __pyx_k_Point3D___add[] = "Point3D.__add__";
static const char __pyx_k_Point3D___mul[] = "Point3D.__mul__";
static const char __pyx_k_Point3D___neg[] = "Point3D.__neg__";
static const char __pyx_k_Point3D___sub[] = "Point3D.__sub__";
static const char __pyx_k_Vector2D_Draw[] = "Vector2D.Draw";
static const char __pyx_k_Vector2D_Norm[] = "Vector2D.Norm";
static const char __pyx_k_Vector2D_To3D[] = "Vector2D.To3D";
static const char __pyx_k_Vector2D___eq[] = "Vector2D.__eq__";
static const char __pyx_k_Vector2D_plot[] = "Vector2D.plot";
static const char __pyx_k_Vector3D_Copy[] = "Vector3D.Copy";
static const char __pyx_k_Vector3D_Norm[] = "Vector3D.Norm";
static const char __pyx_k_Vector3D_To2D[] = "Vector3D.To2D";
static const char __pyx_k_Vector3D___eq[] = "Vector3D.__eq__";
static const char __pyx_k_Vector___radd[] = "Vector.__radd__";
static const char __pyx_k_Vector___repr[] = "Vector.__repr__";
static const char __pyx_k_Vector___rmul[] = "Vector.__rmul__";
static const char __pyx_k_Vector___rsub[] = "Vector.__rsub__";
static const char __pyx_k_dessia_common[] = "dessia_common";
static const char __pyx_k_frame_mapping[] = "frame_mapping";
static const char __pyx_k_random_matrix[] = "random_matrix";
static const char __pyx_k_set_positions[] = "set_positions";
static const char __pyx_k_Arrow3D___init[] = "Arrow3D.__init__";
static const char __pyx_k_Basis2D___init[] = "Basis2D.__init__";
static const char __pyx_k_Basis2D___repr[] = "Basis2D.__repr__";
static const char __pyx_k_Basis3D___hash[] = "Basis3D.__hash__";
static const char __pyx_k_Basis3D___init[] = "Basis3D.__init__";
static const char __pyx_k_Basis3D___repr[] = "Basis3D.__repr__";
static const char __pyx_k_Frame2D___init[] = "Frame2D.__init__";
static const char __pyx_k_Frame2D___repr[] = "Frame2D.__repr__";
static const char __pyx_k_Frame3D___hash[] = "Frame3D.__hash__";
static const char __pyx_k_Frame3D___init[] = "Frame3D.__init__";
static const char __pyx_k_Frame3D___repr[] = "Frame3D.__repr__";
static const char __pyx_k_Frame3D_plot2d[] = "Frame3D.plot2d";
static const char __pyx_k_LineProjection[] = "LineProjection";
static const char __pyx_k_Matrix22___add[] = "Matrix22.__add__";
static const char __pyx_k_Matrix22___mul[] = "Matrix22.__mul__";
static const char __pyx_k_Matrix33___add[] = "Matrix33.__add__";
static const char __pyx_k_Matrix33___mul[] = "Matrix33.__mul__";
static const char __pyx_k_NewCoordinates[] = "NewCoordinates";
static const char __pyx_k_OldCoordinates[] = "OldCoordinates";
static const char __pyx_k_Point2D___init[] = "Point2D.__init__";
static const char __pyx_k_Point3D___init[] = "Point3D.__init__";
static const char __pyx_k_TransferMatrix[] = "TransferMatrix";
static const char __pyx_k_Vector2D_Cross[] = "Vector2D.Cross";
static const char __pyx_k_Vector2D___add[] = "Vector2D.__add__";
static const char __pyx_k_Vector2D___mul[] = "Vector2D.__mul__";
static const char __pyx_k_Vector2D___neg[] = "Vector2D.__neg__";
static const char __pyx_k_Vector2D___sub[] = "Vector2D.__sub__";
static const char __pyx_k_Vector3D_Cross[] = "Vector3D.Cross";
static const char __pyx_k_Vector3D___add[] = "Vector3D.__add__";
static const char __pyx_k_Vector3D___mul[] = "Vector3D.__mul__";
static const char __pyx_k_Vector3D___neg[] = "Vector3D.__neg__";
static const char __pyx_k_Vector3D___sub[] = "Vector3D.__sub__";
static const char __pyx_k_mutation_scale[] = "mutation_scale";
static const char __pyx_k_point_distance[] = "point_distance";
static const char __pyx_k_proj_transform[] = "proj_transform";
static const char __pyx_k_starting_point[] = "starting_point";
static const char __pyx_k_vector3D_cross[] = "vector3D_cross";
static const char __pyx_k_Basis3D___round[] = "Basis3D.__round__";
static const char __pyx_k_Basis___getitem[] = "Basis.__getitem__";
static const char __pyx_k_Basis___setitem[] = "Basis.__setitem__";
static const char __pyx_k_FancyArrowPatch[] = "FancyArrowPatch";
static const char __pyx_k_Frame3D___round[] = "Frame3D.__round__";
static const char __pyx_k_Matrix22___init[] = "Matrix22.__init__";
static const char __pyx_k_Matrix33___init[] = "Matrix33.__init__";
static const char __pyx_k_Matrix33___repr[] = "Matrix33.__repr__";
static const char __pyx_k_Point2D_MPLPlot[] = "Point2D.MPLPlot";
static const char __pyx_k_Point3D_Babylon[] = "Point3D.Babylon";
static const char __pyx_k_Point3D_MPLPlot[] = "Point3D.MPLPlot";
static const char __pyx_k_Vector2D___hash[] = "Vector2D.__hash__";
static const char __pyx_k_Vector2D___init[] = "Vector2D.__init__";
static const char __pyx_k_Vector2D_random[] = "Vector2D.random";
static const char __pyx_k_Vector3D___hash[] = "Vector3D.__hash__";
static const char __pyx_k_Vector3D___init[] = "Vector3D.__init__";
static const char __pyx_k_Vector3D_random[] = "Vector3D.random";
static const char __pyx_k_Vector_to_numpy[] = "Vector.to_numpy";
static const char __pyx_k_Basis2D_Rotation[] = "Basis2D.Rotation";
static const char __pyx_k_Basis2D_to_frame[] = "Basis2D.to_frame";
static const char __pyx_k_Basis3D_Rotation[] = "Basis3D.Rotation";
static const char __pyx_k_Basis3D_to_frame[] = "Basis3D.to_frame";
static const char __pyx_k_Basis___contains[] = "Basis.__contains__";
static const char __pyx_k_Cython_functions[] = "\n\nCython functions\n\n";
static const char __pyx_k_Frame2D_Rotation[] = "Frame2D.Rotation";
static const char __pyx_k_Frame3D_Rotation[] = "Frame3D.Rotation";
static const char __pyx_k_Matrix33_inverse[] = "Matrix33.inverse";
static const char __pyx_k_Vector2D___round[] = "Vector2D.__round__";
static const char __pyx_k_Vector3D_MPLPlot[] = "Vector3D.MPLPlot";
static const char __pyx_k_Vector3D___round[] = "Vector3D.__round__";
static const char __pyx_k_Vector___getitem[] = "Vector.__getitem__";
static const char __pyx_k_Vector___setitem[] = "Vector.__setitem__";
static const char __pyx_k_from_two_vectors[] = "from_two_vectors";
static const char __pyx_k_standalone_in_db[] = "_standalone_in_db";
static const char __pyx_k_Frame3D_babylonjs[] = "Frame3D.babylonjs";
static const char __pyx_k_Frame3D_from_step[] = "Frame3D.from_step";
static const char __pyx_k_LinesIntersection[] = "LinesIntersection";
static const char __pyx_k_Matrix33_to_numpy[] = "Matrix33.to_numpy";
static const char __pyx_k_PlaneProjection2D[] = "PlaneProjection2D";
static const char __pyx_k_PlaneProjection3D[] = "PlaneProjection3D";
static const char __pyx_k_Point2D___truediv[] = "Point2D.__truediv__";
static const char __pyx_k_Point2D_plot_data[] = "Point2D.plot_data";
static const char __pyx_k_Point3D___truediv[] = "Point3D.__truediv__";
static const char __pyx_k_Point3D_from_step[] = "Point3D.from_step";
static const char __pyx_k_Vector2D_Rotation[] = "Vector2D.Rotation";
static const char __pyx_k_Vector3D_Rotation[] = "Vector3D.Rotation";
static const char __pyx_k_Vector___rtruediv[] = "Vector.__rtruediv__";
static const char __pyx_k_Vector_mean_point[] = "Vector.mean_point";
static const char __pyx_k_ZeroDivisionError[] = "ZeroDivisionError";
static const char __pyx_k_matplotlib_pyplot[] = "matplotlib.pyplot";
static const char __pyx_k_vector3D_rotation[] = "vector3D_rotation";
static const char __pyx_k_Basis3D_x_rotation[] = "Basis3D.x_rotation";
static const char __pyx_k_Basis3D_y_rotation[] = "Basis3D.y_rotation";
static const char __pyx_k_Basis3D_z_rotation[] = "Basis3D.z_rotation";
static const char __pyx_k_DeprecationWarning[] = "DeprecationWarning";
static const char __pyx_k_Vector2D_Normalize[] = "Vector2D.Normalize";
static const char __pyx_k_Vector2D___truediv[] = "Vector2D.__truediv__";
static const char __pyx_k_Vector3D_Normalize[] = "Vector3D.Normalize";
static const char __pyx_k_Vector3D___truediv[] = "Vector3D.__truediv__";
static const char __pyx_k_Vector3D_from_step[] = "Vector3D.from_step";
static const char __pyx_k_cline_in_traceback[] = "cline_in_traceback";
static const char __pyx_k_matplotlib_patches[] = "matplotlib.patches";
static const char __pyx_k_Frame2D_Translation[] = "Frame2D.Translation";
static const char __pyx_k_Frame3D_Translation[] = "Frame3D.Translation";
static const char __pyx_k_Point2D_MiddlePoint[] = "Point2D.MiddlePoint";
static const char __pyx_k_PolygonPointBelongs[] = "PolygonPointBelongs";
static const char __pyx_k_Vector3D_x_rotation[] = "Vector3D.x_rotation";
static const char __pyx_k_Vector3D_y_rotation[] = "Vector3D.y_rotation";
static const char __pyx_k_Vector3D_z_rotation[] = "Vector3D.z_rotation";
static const char __pyx_k_sphere_material_mat[] = "sphere.material = mat;\n";
static const char __pyx_k_Basis2D__get_vectors[] = "Basis2D._get_vectors";
static const char __pyx_k_Basis3D__get_vectors[] = "Basis3D._get_vectors";
static const char __pyx_k_Matrix33_determinent[] = "Matrix33.determinent";
static const char __pyx_k_Vector2D_Translation[] = "Vector2D.Translation";
static const char __pyx_k_Vector3D_Translation[] = "Vector3D.Translation";
static const char __pyx_k_curvilinear_abscissa[] = "curvilinear_abscissa";
static const char __pyx_k_float_multiplication[] = "float_multiplication";
static const char __pyx_k_length_includes_head[] = "length_includes_head";
static const char __pyx_k_mpl_toolkits_mplot3d[] = "mpl_toolkits.mplot3d";
static const char __pyx_k_Basis3D_EulerRotation[] = "Basis3D.EulerRotation";
static const char __pyx_k_InverseTransferMatrix[] = "InverseTransferMatrix";
static const char __pyx_k_Vector2D_NormalVector[] = "Vector2D.NormalVector";
static const char __pyx_k_vector_multiplication[] = "vector_multiplication";
static const char __pyx_k_volmdlr_core_compiled[] = "volmdlr.core_compiled";
static const char __pyx_k_Basis2D_NewCoordinates[] = "Basis2D.NewCoordinates";
static const char __pyx_k_Basis2D_OldCoordinates[] = "Basis2D.OldCoordinates";
static const char __pyx_k_Basis2D_TransferMatrix[] = "Basis2D.TransferMatrix";
static const char __pyx_k_Basis3D_NewCoordinates[] = "Basis3D.NewCoordinates";
static const char __pyx_k_Basis3D_OldCoordinates[] = "Basis3D.OldCoordinates";
static const char __pyx_k_Basis3D_TransferMatrix[] = "Basis3D.TransferMatrix";
static const char __pyx_k_Frame2D_NewCoordinates[] = "Frame2D.NewCoordinates";
static const char __pyx_k_Frame2D_OldCoordinates[] = "Frame2D.OldCoordinates";
static const char __pyx_k_Frame3D_NewCoordinates[] = "Frame3D.NewCoordinates";
static const char __pyx_k_Frame3D_OldCoordinates[] = "Frame3D.OldCoordinates";
static const char __pyx_k_Matrix33_random_matrix[] = "Matrix33.random_matrix";
static const char __pyx_k_Point2D_LineProjection[] = "Point2D.LineProjection";
static const char __pyx_k_Point2D_point_distance[] = "Point2D.point_distance";
static const char __pyx_k_RandomUnitNormalVector[] = "RandomUnitNormalVector";
static const char __pyx_k_Vector2D_frame_mapping[] = "Vector2D.frame_mapping";
static const char __pyx_k_Vector3D_frame_mapping[] = "Vector3D.frame_mapping";
static const char __pyx_k_Vector2D_point_distance[] = "Vector2D.point_distance";
static const char __pyx_k_Vector3D_point_distance[] = "Vector3D.point_distance";
static const char __pyx_k_Abstract_class_of_vector[] = "\n    Abstract class of vector\n    ";
static const char __pyx_k_Basis3D_from_two_vectors[] = "Basis3D.from_two_vectors";
static const char __pyx_k_Abstract_class_of_a_basis[] = "\n    Abstract class of a basis\n    ";
static const char __pyx_k_Point2D_LinesIntersection[] = "Point2D.LinesIntersection";
static const char __pyx_k_volmdlr_core_compiled_pyx[] = "volmdlr/core_compiled.pyx";
static const char __pyx_k_LineSegment2DPointDistance[] = "LineSegment2DPointDistance";
static const char __pyx_k_Vector3D_PlaneProjection2D[] = "Vector3D.PlaneProjection2D";
static const char __pyx_k_Vector3D_PlaneProjection3D[] = "Vector3D.PlaneProjection3D";
static const char __pyx_k_line1_material_red_material[] = "line1.material = red_material;\n";
static const char __pyx_k_var_o_u_new_BABYLON_Vector3[] = "var o_u = new BABYLON.Vector3({}, {}, {});\n";
static const char __pyx_k_var_o_v_new_BABYLON_Vector3[] = "var o_v = new BABYLON.Vector3({}, {}, {});\n";
static const char __pyx_k_var_o_w_new_BABYLON_Vector3[] = "var o_w = new BABYLON.Vector3({}, {}, {});\n";
static const char __pyx_k_line3_material_blue_material[] = "line3.material = blue_material;\n";
static const char __pyx_k_Basis2D_InverseTransferMatrix[] = "Basis2D.InverseTransferMatrix";
static const char __pyx_k_Basis3D_InverseTransferMatrix[] = "Basis3D.InverseTransferMatrix";
static const char __pyx_k_DeterministicUnitNormalVector[] = "DeterministicUnitNormalVector";
static const char __pyx_k_Matrix33_float_multiplication[] = "Matrix33.float_multiplication";
static const char __pyx_k_line2_material_green_material[] = "line2.material = green_material;\n";
static const char __pyx_k_Matrix33_vector_multiplication[] = "Matrix33.vector_multiplication";
static const char __pyx_k_var_origin_new_BABYLON_Vector3[] = "var origin = new BABYLON.Vector3({},{},{});\n";
static const char __pyx_k_Defines_a_2D_basis_param_origin[] = "\n    Defines a 2D basis\n    :param origin: origin of the basis\n    :param u: first vector of the basis\n    :param v: second vector of the basis\n    ";
static const char __pyx_k_Defines_a_2D_basis_param_u_firs[] = "\n    Defines a 2D basis\n    :param u: first vector of the basis\n    :param v: second vector of the basis\n    ";
static const char __pyx_k_Defines_a_3D_basis_param_u_firs[] = "\n    Defines a 3D basis\n    :param u: first vector of the basis\n    :param v: second vector of the basis\n    :param w: third vector of the basis\n    ";
static const char __pyx_k_Defines_a_3D_frame_param_origin[] = "\n    Defines a 3D frame\n    :param origin: origin of the basis\n    :param u: first vector of the basis\n    :param v: second vector of the basis\n    :param w: third vector of the basis\n    ";
static const char __pyx_k_Vector3D_RandomUnitNormalVector[] = "Vector3D.RandomUnitNormalVector";
static const char __pyx_k_Draw_is_deprecated_and_will_be_r[] = "Draw is deprecated and will be removed in next versions, use plot() instead";
static const char __pyx_k_Vector3D_DeterministicUnitNormal[] = "Vector3D.DeterministicUnitNormalVector";
static const char __pyx_k_mat_diffuseColor_new_BABYLON_Col[] = "mat.diffuseColor = new BABYLON.Color3(1, 0, 0);\n";
static const char __pyx_k_sphere_setPositionWithLocalVecto[] = "sphere.setPositionWithLocalVector(new BABYLON.Vector3({},{},{}));\n";
static const char __pyx_k_var_line1_BABYLON_MeshBuilder_Cr[] = "var line1 = BABYLON.MeshBuilder.CreateTube(\"frame_U\", {{path: [origin, o_u], radius: {}}}, scene);";
static const char __pyx_k_var_line2_BABYLON_MeshBuilder_Cr[] = "var line2 = BABYLON.MeshBuilder.CreateTube(\"frame_V\", {{path: [origin, o_v], radius: {}}}, scene);";
static const char __pyx_k_var_line3_BABYLON_MeshBuilder_Cr[] = "var line3 = BABYLON.MeshBuilder.CreateTube(\"frame_W\", {{path: [origin, o_w], radius: {}}}, scene);";
static const char __pyx_k_var_mat_new_BABYLON_StandardMate[] = "var mat = new BABYLON.StandardMaterial(\"mat\", scene);\n";
static const char __pyx_k_var_sphere_BABYLON_MeshBuilder_C[] = "var sphere = BABYLON.MeshBuilder.CreateSphere(\"point\", {diameter: 0.05}, scene);\n";
static PyObject *__pyx_kp_s_3d;
static PyObject *__pyx_kp_s_Abstract_class_of_a_basis;
static PyObject *__pyx_kp_s_Abstract_class_of_vector;
static PyObject *__pyx_n_s_Arrow3D;
static PyObject *__pyx_n_s_Arrow3D___init;
static PyObject *__pyx_n_s_Arrow3D_draw;
static PyObject *__pyx_n_s_Babylon;
static PyObject *__pyx_n_s_Basis;
static PyObject *__pyx_n_s_Basis2D;
static PyObject *__pyx_n_s_Basis2D_Copy;
static PyObject *__pyx_n_s_Basis2D_InverseTransferMatrix;
static PyObject *__pyx_n_s_Basis2D_NewCoordinates;
static PyObject *__pyx_n_s_Basis2D_OldCoordinates;
static PyObject *__pyx_n_s_Basis2D_Rotation;
static PyObject *__pyx_n_s_Basis2D_TransferMatrix;
static PyObject *__pyx_n_s_Basis2D___init;
static PyObject *__pyx_n_s_Basis2D___neg;
static PyObject *__pyx_n_s_Basis2D___repr;
static PyObject *__pyx_n_s_Basis2D__get_vectors;
static PyObject *__pyx_n_s_Basis2D_to_frame;
static PyObject *__pyx_n_s_Basis3D;
static PyObject *__pyx_n_s_Basis3D_EulerRotation;
static PyObject *__pyx_n_s_Basis3D_InverseTransferMatrix;
static PyObject *__pyx_n_s_Basis3D_NewCoordinates;
static PyObject *__pyx_n_s_Basis3D_OldCoordinates;
static PyObject *__pyx_n_s_Basis3D_Rotation;
static PyObject *__pyx_n_s_Basis3D_TransferMatrix;
static PyObject *__pyx_n_s_Basis3D___add;
static PyObject *__pyx_n_s_Basis3D___hash;
static PyObject *__pyx_n_s_Basis3D___init;
static PyObject *__pyx_n_s_Basis3D___neg;
static PyObject *__pyx_n_s_Basis3D___repr;
static PyObject *__pyx_n_s_Basis3D___round;
static PyObject *__pyx_n_s_Basis3D___sub;
static PyObject *__pyx_n_s_Basis3D__get_vectors;
static PyObject *__pyx_n_s_Basis3D_copy;
static PyObject *__pyx_n_s_Basis3D_from_two_vectors;
static PyObject *__pyx_n_s_Basis3D_to_frame;
static PyObject *__pyx_n_s_Basis3D_x_rotation;
static PyObject *__pyx_n_s_Basis3D_y_rotation;
static PyObject *__pyx_n_s_Basis3D_z_rotation;
static PyObject *__pyx_n_s_Basis___contains;
static PyObject *__pyx_n_s_Basis___eq;
static PyObject *__pyx_n_s_Basis___getitem;
static PyObject *__pyx_n_s_Basis___hash;
static PyObject *__pyx_n_s_Basis___setitem;
static PyObject *__pyx_n_s_Basis_copy;
static PyObject *__pyx_n_s_Copy;
static PyObject *__pyx_n_s_Cross;
static PyObject *__pyx_kp_s_Defines_a_2D_basis_param_origin;
static PyObject *__pyx_kp_s_Defines_a_2D_basis_param_u_firs;
static PyObject *__pyx_kp_s_Defines_a_3D_basis_param_u_firs;
static PyObject *__pyx_kp_s_Defines_a_3D_frame_param_origin;
static PyObject *__pyx_n_s_DeprecationWarning;
static PyObject *__pyx_n_s_DessiaObject;
static PyObject *__pyx_n_s_DeterministicUnitNormalVector;
static PyObject *__pyx_n_s_Dot;
static PyObject *__pyx_n_s_Draw;
static PyObject *__pyx_kp_s_Draw_is_deprecated_and_will_be_r;
static PyObject *__pyx_n_s_EulerRotation;
static PyObject *__pyx_n_s_FancyArrow;
static PyObject *__pyx_n_s_FancyArrowPatch;
static PyObject *__pyx_n_s_Frame2D;
static PyObject *__pyx_n_s_Frame2D_Basis;
static PyObject *__pyx_n_s_Frame2D_Copy;
static PyObject *__pyx_n_s_Frame2D_Draw;
static PyObject *__pyx_n_s_Frame2D_NewCoordinates;
static PyObject *__pyx_n_s_Frame2D_OldCoordinates;
static PyObject *__pyx_n_s_Frame2D_Rotation;
static PyObject *__pyx_n_s_Frame2D_Translation;
static PyObject *__pyx_n_s_Frame2D___add;
static PyObject *__pyx_n_s_Frame2D___init;
static PyObject *__pyx_n_s_Frame2D___neg;
static PyObject *__pyx_n_s_Frame2D___repr;
static PyObject *__pyx_n_s_Frame2D___sub;
static PyObject *__pyx_n_s_Frame3D;
static PyObject *__pyx_n_s_Frame3D_Basis;
static PyObject *__pyx_n_s_Frame3D_NewCoordinates;
static PyObject *__pyx_n_s_Frame3D_OldCoordinates;
static PyObject *__pyx_n_s_Frame3D_Rotation;
static PyObject *__pyx_n_s_Frame3D_Translation;
static PyObject *__pyx_n_s_Frame3D___add;
static PyObject *__pyx_n_s_Frame3D___hash;
static PyObject *__pyx_n_s_Frame3D___init;
static PyObject *__pyx_n_s_Frame3D___neg;
static PyObject *__pyx_n_s_Frame3D___repr;
static PyObject *__pyx_n_s_Frame3D___round;
static PyObject *__pyx_n_s_Frame3D___sub;
static PyObject *__pyx_n_s_Frame3D_babylonjs;
static PyObject *__pyx_n_s_Frame3D_copy;
static PyObject *__pyx_n_s_Frame3D_from_step;
static PyObject *__pyx_n_s_Frame3D_plot2d;
static PyObject *__pyx_n_s_InverseTransferMatrix;
static PyObject *__pyx_n_s_LineProjection;
static PyObject *__pyx_n_s_LineSegment2DPointDistance;
static PyObject *__pyx_n_s_LinesIntersection;
static PyObject *__pyx_n_s_List;
static PyObject *__pyx_n_s_M;
static PyObject *__pyx_n_s_M11;
static PyObject *__pyx_n_s_M12;
static PyObject *__pyx_n_s_M13;
static PyObject *__pyx_n_s_M21;
static PyObject *__pyx_n_s_M22;
static PyObject *__pyx_n_s_M23;
static PyObject *__pyx_n_s_M31;
static PyObject *__pyx_n_s_M32;
static PyObject *__pyx_n_s_M33;
static PyObject *__pyx_n_s_MPLPlot;
static PyObject *__pyx_n_s_Matrix22;
static PyObject *__pyx_n_s_Matrix22___add;
static PyObject *__pyx_n_s_Matrix22___init;
static PyObject *__pyx_n_s_Matrix22___mul;
static PyObject *__pyx_n_s_Matrix33;
static PyObject *__pyx_n_s_Matrix33___add;
static PyObject *__pyx_n_s_Matrix33___init;
static PyObject *__pyx_n_s_Matrix33___mul;
static PyObject *__pyx_n_s_Matrix33___repr;
static PyObject *__pyx_n_s_Matrix33_determinent;
static PyObject *__pyx_n_s_Matrix33_float_multiplication;
static PyObject *__pyx_n_s_Matrix33_inverse;
static PyObject *__pyx_n_s_Matrix33_random_matrix;
static PyObject *__pyx_n_s_Matrix33_to_numpy;
static PyObject *__pyx_n_s_Matrix33_vector_multiplication;
static PyObject *__pyx_n_s_MiddlePoint;
static PyObject *__pyx_n_s_NewCoordinates;
static PyObject *__pyx_n_s_Norm;
static PyObject *__pyx_n_s_NormalVector;
static PyObject *__pyx_n_s_Normalize;
static PyObject *__pyx_n_s_O2D;
static PyObject *__pyx_n_s_O3D;
static PyObject *__pyx_n_s_OXY;
static PyObject *__pyx_kp_s_O_U_V;
static PyObject *__pyx_kp_s_O_U_V_W;
static PyObject *__pyx_n_s_OldCoordinates;
static PyObject *__pyx_n_s_P1;
static PyObject *__pyx_n_s_P1inv;
static PyObject *__pyx_n_s_P2;
static PyObject *__pyx_n_s_Pinv;
static PyObject *__pyx_n_s_PlaneProjection2D;
static PyObject *__pyx_n_s_PlaneProjection3D;
static PyObject *__pyx_n_s_Point2D;
static PyObject *__pyx_n_s_Point2D_LineProjection;
static PyObject *__pyx_n_s_Point2D_LinesIntersection;
static PyObject *__pyx_n_s_Point2D_MPLPlot;
static PyObject *__pyx_n_s_Point2D_MiddlePoint;
static PyObject *__pyx_n_s_Point2D_To3D;
static PyObject *__pyx_n_s_Point2D___add;
static PyObject *__pyx_n_s_Point2D___init;
static PyObject *__pyx_n_s_Point2D___mul;
static PyObject *__pyx_n_s_Point2D___neg;
static PyObject *__pyx_n_s_Point2D___sub;
static PyObject *__pyx_n_s_Point2D___truediv;
static PyObject *__pyx_n_s_Point2D_plot_data;
static PyObject *__pyx_n_s_Point2D_point_distance;
static PyObject *__pyx_n_s_Point3D;
static PyObject *__pyx_n_s_Point3D_Babylon;
static PyObject *__pyx_n_s_Point3D_Copy;
static PyObject *__pyx_n_s_Point3D_MPLPlot;
static PyObject *__pyx_n_s_Point3D_To2D;
static PyObject *__pyx_n_s_Point3D___add;
static PyObject *__pyx_n_s_Point3D___init;
static PyObject *__pyx_n_s_Point3D___mul;
static PyObject *__pyx_n_s_Point3D___neg;
static PyObject *__pyx_n_s_Point3D___sub;
static PyObject *__pyx_n_s_Point3D___truediv;
static PyObject *__pyx_n_s_Point3D_copy;
static PyObject *__pyx_n_s_Point3D_from_step;
static PyObject *__pyx_n_s_PolygonPointBelongs;
static PyObject *__pyx_n_s_RandomUnitNormalVector;
static PyObject *__pyx_n_s_Rotation;
static PyObject *__pyx_n_s_To2D;
static PyObject *__pyx_n_s_To3D;
static PyObject *__pyx_n_s_TransferMatrix;
static PyObject *__pyx_n_s_Translation;
static PyObject *__pyx_n_s_Tuple;
static PyObject *__pyx_n_s_TypeVar;
static PyObject *__pyx_kp_s_U_V;
static PyObject *__pyx_kp_s_U_V_W;
static PyObject *__pyx_n_s_ValueError;
static PyObject *__pyx_n_s_Vector;
static PyObject *__pyx_n_s_Vector2D;
static PyObject *__pyx_n_s_Vector2DDot;
static PyObject *__pyx_n_s_Vector2DNorm;
static PyObject *__pyx_n_s_Vector2D_Cross;
static PyObject *__pyx_n_s_Vector2D_Dot;
static PyObject *__pyx_n_s_Vector2D_Draw;
static PyObject *__pyx_n_s_Vector2D_Norm;
static PyObject *__pyx_n_s_Vector2D_NormalVector;
static PyObject *__pyx_n_s_Vector2D_Normalize;
static PyObject *__pyx_n_s_Vector2D_Rotation;
static PyObject *__pyx_n_s_Vector2D_To3D;
static PyObject *__pyx_n_s_Vector2D_Translation;
static PyObject *__pyx_n_s_Vector2D___add;
static PyObject *__pyx_n_s_Vector2D___eq;
static PyObject *__pyx_n_s_Vector2D___hash;
static PyObject *__pyx_n_s_Vector2D___init;
static PyObject *__pyx_n_s_Vector2D___mul;
static PyObject *__pyx_n_s_Vector2D___neg;
static PyObject *__pyx_n_s_Vector2D___round;
static PyObject *__pyx_n_s_Vector2D___sub;
static PyObject *__pyx_n_s_Vector2D___truediv;
static PyObject *__pyx_n_s_Vector2D_frame_mapping;
static PyObject *__pyx_n_s_Vector2D_plot;
static PyObject *__pyx_n_s_Vector2D_point_distance;
static PyObject *__pyx_n_s_Vector2D_random;
static PyObject *__pyx_n_s_Vector3D;
static PyObject *__pyx_n_s_Vector3DDot;
static PyObject *__pyx_n_s_Vector3DNorm;
static PyObject *__pyx_n_s_Vector3D_Copy;
static PyObject *__pyx_n_s_Vector3D_Cross;
static PyObject *__pyx_n_s_Vector3D_DeterministicUnitNormal;
static PyObject *__pyx_n_s_Vector3D_Dot;
static PyObject *__pyx_n_s_Vector3D_MPLPlot;
static PyObject *__pyx_n_s_Vector3D_Norm;
static PyObject *__pyx_n_s_Vector3D_Normalize;
static PyObject *__pyx_n_s_Vector3D_PlaneProjection2D;
static PyObject *__pyx_n_s_Vector3D_PlaneProjection3D;
static PyObject *__pyx_n_s_Vector3D_RandomUnitNormalVector;
static PyObject *__pyx_n_s_Vector3D_Rotation;
static PyObject *__pyx_n_s_Vector3D_To2D;
static PyObject *__pyx_n_s_Vector3D_Translation;
static PyObject *__pyx_n_s_Vector3D___add;
static PyObject *__pyx_n_s_Vector3D___eq;
static PyObject *__pyx_n_s_Vector3D___hash;
static PyObject *__pyx_n_s_Vector3D___init;
static PyObject *__pyx_n_s_Vector3D___mul;
static PyObject *__pyx_n_s_Vector3D___neg;
static PyObject *__pyx_n_s_Vector3D___round;
static PyObject *__pyx_n_s_Vector3D___sub;
static PyObject *__pyx_n_s_Vector3D___truediv;
static PyObject *__pyx_n_s_Vector3D_frame_mapping;
static PyObject *__pyx_n_s_Vector3D_from_step;
static PyObject *__pyx_n_s_Vector3D_point_distance;
static PyObject *__pyx_n_s_Vector3D_random;
static PyObject *__pyx_n_s_Vector3D_x_rotation;
static PyObject *__pyx_n_s_Vector3D_y_rotation;
static PyObject *__pyx_n_s_Vector3D_z_rotation;
static PyObject *__pyx_n_s_Vector___getitem;
static PyObject *__pyx_n_s_Vector___le;
static PyObject *__pyx_n_s_Vector___lt;
static PyObject *__pyx_n_s_Vector___radd;
static PyObject *__pyx_n_s_Vector___repr;
static PyObject *__pyx_n_s_Vector___rmul;
static PyObject *__pyx_n_s_Vector___rsub;
static PyObject *__pyx_n_s_Vector___rtruediv;
static PyObject *__pyx_n_s_Vector___setitem;
static PyObject *__pyx_n_s_Vector_copy;
static PyObject *__pyx_n_s_Vector_mean_point;
static PyObject *__pyx_n_s_Vector_to_numpy;
static PyObject *__pyx_n_s_X2D;
static PyObject *__pyx_n_s_X3D;
static PyObject *__pyx_n_s_XY;
static PyObject *__pyx_n_s_Y2D;
static PyObject *__pyx_n_s_Y3D;
static PyObject *__pyx_n_s_Z3D;
static PyObject *__pyx_n_s_ZeroDivisionError;
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static PyObject *__pyx_kp_s__14;
static PyObject *__pyx_kp_s__15;
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static PyObject *__pyx_kp_s__2;
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static PyObject *__pyx_kp_s__7;
static PyObject *__pyx_kp_s__8;
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static PyObject *__pyx_n_s_abs_tol;
static PyObject *__pyx_n_s_add;
static PyObject *__pyx_n_s_add2D;
static PyObject *__pyx_n_s_add3D;
static PyObject *__pyx_n_s_add_artist;
static PyObject *__pyx_n_s_add_patch;
static PyObject *__pyx_n_s_add_subplot;
static PyObject *__pyx_n_s_all;
static PyObject *__pyx_n_s_all_equal;
static PyObject *__pyx_n_s_amplitude;
static PyObject *__pyx_n_s_angle;
static PyObject *__pyx_n_s_angles;
static PyObject *__pyx_n_s_args;
static PyObject *__pyx_n_s_arguments;
static PyObject *__pyx_n_s_array;
static PyObject *__pyx_n_s_arrow;
static PyObject *__pyx_n_s_arrowstyle;
static PyObject *__pyx_n_s_ax;
static PyObject *__pyx_n_s_axis;
static PyObject *__pyx_n_s_babylonjs;
static PyObject *__pyx_n_s_black;
static PyObject *__pyx_n_s_center;
static PyObject *__pyx_n_s_class;
static PyObject *__pyx_n_s_cline_in_traceback;
static PyObject *__pyx_n_s_cls;
static PyObject *__pyx_n_s_color;
static PyObject *__pyx_n_s_contains;
static PyObject *__pyx_n_s_copy;
static PyObject *__pyx_n_s_cos;
static PyObject *__pyx_n_s_cos_angle;
static PyObject *__pyx_n_s_curvilinear_abscissa;
static PyObject *__pyx_n_s_data;
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static PyObject *__pyx_n_s_dessia_common;
static PyObject *__pyx_n_s_det;
static PyObject *__pyx_n_s_det_inv;
static PyObject *__pyx_n_s_determinent;
static PyObject *__pyx_n_s_dict;
static PyObject *__pyx_n_s_doc;
static PyObject *__pyx_n_s_dot;
static PyObject *__pyx_n_s_draw;
static PyObject *__pyx_n_s_end;
static PyObject *__pyx_n_s_enumerate;
static PyObject *__pyx_n_s_eq;
static PyObject *__pyx_n_s_equal;
static PyObject *__pyx_n_s_fig;
static PyObject *__pyx_n_s_figure;
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static PyObject *__pyx_n_s_float_value;
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static PyObject *__pyx_n_s_frame;
static PyObject *__pyx_n_s_frame_mapping;
static PyObject *__pyx_n_s_from_step;
static PyObject *__pyx_n_s_from_two_vectors;
static PyObject *__pyx_n_s_g;
static PyObject *__pyx_n_s_get_vectors;
static PyObject *__pyx_n_s_getitem;
static PyObject *__pyx_n_s_hash;
static PyObject *__pyx_n_s_head_width;
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static PyObject *__pyx_n_s_inverse;
static PyObject *__pyx_n_s_isclose;
static PyObject *__pyx_n_s_item;
static PyObject *__pyx_n_s_iv;
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static PyObject *__pyx_n_s_key;
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static PyObject *__pyx_n_s_length_includes_head;
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static PyObject *__pyx_kp_s_line1_parent;
static PyObject *__pyx_n_s_line2;
static PyObject *__pyx_kp_s_line2_material_green_material;
static PyObject *__pyx_kp_s_line2_parent;
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static PyObject *__pyx_kp_s_line3_parent;
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static PyObject *__pyx_kp_s_mat_diffuseColor_new_BABYLON_Col;
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static PyObject *__pyx_n_s_matplotlib_patches;
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static PyObject *__pyx_n_s_mean_point;
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static PyObject *__pyx_n_s_mul2D;
static PyObject *__pyx_n_s_mul3D;
static PyObject *__pyx_n_s_mutation_scale;
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static PyObject *__pyx_n_s_new_frame;
static PyObject *__pyx_n_s_new_origin;
static PyObject *__pyx_n_s_new_u;
static PyObject *__pyx_n_s_new_v;
static PyObject *__pyx_n_s_new_vector;
static PyObject *__pyx_n_s_new_w;
static PyObject *__pyx_n_s_npy;
static PyObject *__pyx_n_s_numpy;
static PyObject *__pyx_n_s_o;
static PyObject *__pyx_n_s_object_dict;
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static PyObject *__pyx_n_s_ok;
static PyObject *__pyx_n_s_old;
static PyObject *__pyx_n_s_opacity;
static PyObject *__pyx_n_s_origin;
static PyObject *__pyx_n_s_origin2d;
static PyObject *__pyx_n_s_other_basis;
static PyObject *__pyx_n_s_other_frame;
static PyObject *__pyx_n_s_other_matrix;
static PyObject *__pyx_n_s_other_vector;
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static PyObject *__pyx_n_s_ov2;
static PyObject *__pyx_n_s_ov3;
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static PyObject *__pyx_n_s_p1y;
static PyObject *__pyx_n_s_p2;
static PyObject *__pyx_n_s_p2x;
static PyObject *__pyx_n_s_p2y;
static PyObject *__pyx_n_s_p3;
static PyObject *__pyx_n_s_p3d;
static PyObject *__pyx_n_s_p4;
static PyObject *__pyx_n_s_parent;
static PyObject *__pyx_n_s_phi;
static PyObject *__pyx_n_s_plane_origin;
static PyObject *__pyx_n_s_plot;
static PyObject *__pyx_n_s_plot2d;
static PyObject *__pyx_n_s_plot_data;
static PyObject *__pyx_n_s_plt;
static PyObject *__pyx_n_s_point;
static PyObject *__pyx_n_s_point1;
static PyObject *__pyx_n_s_point2;
static PyObject *__pyx_n_s_point_distance;
static PyObject *__pyx_n_s_points;
static PyObject *__pyx_n_s_pp1;
static PyObject *__pyx_n_s_prepare;
static PyObject *__pyx_n_s_print;
static PyObject *__pyx_n_s_proj3d;
static PyObject *__pyx_n_s_proj_transform;
static PyObject *__pyx_n_s_projection;
static PyObject *__pyx_n_s_property;
static PyObject *__pyx_n_s_psi;
static PyObject *__pyx_n_s_qualname;
static PyObject *__pyx_n_s_r;
static PyObject *__pyx_n_s_radd;
static PyObject *__pyx_n_s_random;
static PyObject *__pyx_n_s_random_matrix;
static PyObject *__pyx_n_s_range;
static PyObject *__pyx_n_s_range_2;
static PyObject *__pyx_n_s_renderer;
static PyObject *__pyx_n_s_repr;
static PyObject *__pyx_n_s_rmul;
static PyObject *__pyx_n_s_round;
static PyObject *__pyx_n_s_round_2;
static PyObject *__pyx_n_s_rsub;
static PyObject *__pyx_n_s_rtruediv;
static PyObject *__pyx_n_s_s;
static PyObject *__pyx_n_s_scatter;
static PyObject *__pyx_n_s_self;
static PyObject *__pyx_n_s_set_aspect;
static PyObject *__pyx_n_s_set_positions;
static PyObject *__pyx_n_s_setitem;
static PyObject *__pyx_n_s_side;
static PyObject *__pyx_n_s_sin;
static PyObject *__pyx_n_s_sin_angle;
static PyObject *__pyx_n_s_size;
static PyObject *__pyx_kp_s_sphere_material_mat;
static PyObject *__pyx_kp_s_sphere_setPositionWithLocalVecto;
static PyObject *__pyx_n_s_split;
static PyObject *__pyx_n_s_standalone_in_db;
static PyObject *__pyx_n_s_starting_point;
static PyObject *__pyx_n_u_str;
static PyObject *__pyx_n_s_stroke_width;
static PyObject *__pyx_n_s_style;
static PyObject *__pyx_n_s_sub;
static PyObject *__pyx_n_s_sub2D;
static PyObject *__pyx_n_s_sub3D;
static PyObject *__pyx_n_s_subplots;
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static PyObject *__pyx_n_s_test;
static PyObject *__pyx_n_s_text;
static PyObject *__pyx_n_s_theta;
static PyObject *__pyx_n_s_to_frame;
static PyObject *__pyx_n_s_to_numpy;
static PyObject *__pyx_n_s_truediv;
static PyObject *__pyx_n_s_type;
static PyObject *__pyx_n_s_typing;
static PyObject *__pyx_n_s_u;
static PyObject *__pyx_n_s_u1;
static PyObject *__pyx_n_s_u2;
static PyObject *__pyx_n_s_u3;
static PyObject *__pyx_n_s_uniform;
static PyObject *__pyx_n_s_unit;
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static PyObject *__pyx_n_s_v1;
static PyObject *__pyx_n_s_v2;
static PyObject *__pyx_n_s_v3;
static PyObject *__pyx_n_s_value;
static PyObject *__pyx_kp_s_var_line1_BABYLON_MeshBuilder_Cr;
static PyObject *__pyx_kp_s_var_line2_BABYLON_MeshBuilder_Cr;
static PyObject *__pyx_kp_s_var_line3_BABYLON_MeshBuilder_Cr;
static PyObject *__pyx_kp_s_var_mat_new_BABYLON_StandardMate;
static PyObject *__pyx_kp_s_var_o_u_new_BABYLON_Vector3;
static PyObject *__pyx_kp_s_var_o_v_new_BABYLON_Vector3;
static PyObject *__pyx_kp_s_var_o_w_new_BABYLON_Vector3;
static PyObject *__pyx_kp_s_var_origin_new_BABYLON_Vector3;
static PyObject *__pyx_kp_s_var_sphere_BABYLON_MeshBuilder_C;
static PyObject *__pyx_n_s_vect_u;
static PyObject *__pyx_n_s_vect_v;
static PyObject *__pyx_n_s_vect_w;
static PyObject *__pyx_n_s_vector;
static PyObject *__pyx_n_s_vector1;
static PyObject *__pyx_n_s_vector2;
static PyObject *__pyx_n_s_vector2D;
static PyObject *__pyx_n_s_vector3D_cross;
static PyObject *__pyx_n_s_vector3D_rotation;
static PyObject *__pyx_n_s_vector_multiplication;
static PyObject *__pyx_n_s_vectors;
static PyObject *__pyx_n_s_verts3d;
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static PyObject *__pyx_kp_s_volmdlr_core_compiled_pyx;
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static PyObject *__pyx_n_s_vz;
static PyObject *__pyx_n_s_w;
static PyObject *__pyx_n_s_warn;
static PyObject *__pyx_n_s_warnings;
static PyObject *__pyx_n_s_width;
static PyObject *__pyx_n_s_x;
static PyObject *__pyx_n_s_x1;
static PyObject *__pyx_n_s_x2;
static PyObject *__pyx_n_s_x2d;
static PyObject *__pyx_n_s_x3;
static PyObject *__pyx_n_s_x4;
static PyObject *__pyx_n_s_x_rotation;
static PyObject *__pyx_n_s_xints;
static PyObject *__pyx_n_s_xmax;
static PyObject *__pyx_n_s_xmin;
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static PyObject *__pyx_n_s_xs3d;
static PyObject *__pyx_n_s_y;
static PyObject *__pyx_n_s_y1;
static PyObject *__pyx_n_s_y2;
static PyObject *__pyx_n_s_y2d;
static PyObject *__pyx_n_s_y3;
static PyObject *__pyx_n_s_y4;
static PyObject *__pyx_n_s_y_rotation;
static PyObject *__pyx_n_s_ymax;
static PyObject *__pyx_n_s_ymin;
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static PyObject *__pyx_n_s_ys3d;
static PyObject *__pyx_n_s_z;
static PyObject *__pyx_n_s_z1;
static PyObject *__pyx_n_s_z_rotation;
static PyObject *__pyx_n_s_zip;
static PyObject *__pyx_n_s_zmax;
static PyObject *__pyx_n_s_zmin;
static PyObject *__pyx_n_s_zs;
static PyObject *__pyx_n_s_zs3d;
static PyObject *__pyx_pf_7volmdlr_13core_compiled_sub2D(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_vector1, PyObject *__pyx_v_vector2); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_2add2D(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_vector1, PyObject *__pyx_v_vector2); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_4mul2D(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_vector, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_6Vector2DDot(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_vector1, PyObject *__pyx_v_vector2); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector2DNorm(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_vector); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_10sub3D(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_vector1, PyObject *__pyx_v_vector2); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_12add3D(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_vector1, PyObject *__pyx_v_vector2); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_14mul3D(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_vector, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_16Vector3DDot(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_vector1, PyObject *__pyx_v_vector2); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_18Vector3DNorm(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_vector); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_20vector3D_cross(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_vector1, PyObject *__pyx_v_vector2); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_22vector3D_rotation(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_vector, PyObject *__pyx_v_center, PyObject *__pyx_v_axis, PyObject *__pyx_v_angle); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_24PolygonPointBelongs(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_point, PyObject *__pyx_v_points); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_26LineSegment2DPointDistance(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_points, PyObject *__pyx_v_point); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Arrow3D___init__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_xs, PyObject *__pyx_v_ys, PyObject *__pyx_v_zs, PyObject *__pyx_v_args, PyObject *__pyx_v_kwargs); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Arrow3D_2draw(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_renderer); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_6Vector___setitem__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_key, PyObject *__pyx_v_item); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_6Vector_2__getitem__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_key); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_6Vector_4__repr__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_6Vector_6__radd__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_other_vector); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_6Vector_8__rsub__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_other_vector); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_6Vector_10__rmul__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_6Vector_12__rtruediv__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_6Vector_14__lt__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_other_vector); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_6Vector_16__le__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_other_vector); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_6Vector_18to_numpy(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_6Vector_20copy(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_6Vector_22mean_point(CYTHON_UNUSED PyObject *__pyx_self, CYTHON_UNUSED PyObject *__pyx_v_cls, PyObject *__pyx_v_points); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector2D___init__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_vector, PyObject *__pyx_v_name); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector2D_2__add__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_other_vector); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector2D_4__neg__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector2D_6__sub__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_other_vector); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector2D_8__mul__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector2D_10__truediv__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector2D_12__round__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_ndigits); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector2D_14__hash__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector2D_16__eq__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_other_vector); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector2D_18Norm(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector2D_20Normalize(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector2D_22Dot(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_other_vector); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector2D_24Cross(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_other_vector); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector2D_26point_distance(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_point2); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector2D_28Rotation(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_center, PyObject *__pyx_v_angle, PyObject *__pyx_v_copy); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector2D_30Translation(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_offset, PyObject *__pyx_v_copy); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector2D_32frame_mapping(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_frame, PyObject *__pyx_v_side, PyObject *__pyx_v_copy); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector2D_34To3D(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_plane_origin, PyObject *__pyx_v_vx, PyObject *__pyx_v_vy); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector2D_36NormalVector(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_unit); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector2D_38random(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_cls, PyObject *__pyx_v_xmin, PyObject *__pyx_v_xmax, PyObject *__pyx_v_ymin, PyObject *__pyx_v_ymax); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector2D_40Draw(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector2D_42plot(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_amplitude, PyObject *__pyx_v_origin, PyObject *__pyx_v_ax, PyObject *__pyx_v_color, PyObject *__pyx_v_line, PyObject *__pyx_v_label); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Point2D___init__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_vector, PyObject *__pyx_v_name); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Point2D_2__add__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_other_vector); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Point2D_4__neg__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Point2D_6__sub__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_other_vector); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Point2D_8__mul__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Point2D_10__truediv__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Point2D_12To3D(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_plane_origin, PyObject *__pyx_v_vx, PyObject *__pyx_v_vy); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Point2D_14MPLPlot(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_ax, PyObject *__pyx_v_color); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Point2D_16point_distance(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_point2); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Point2D_18LinesIntersection(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_cls, PyObject *__pyx_v_line1, PyObject *__pyx_v_line2, PyObject *__pyx_v_curvilinear_abscissa); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Point2D_20plot_data(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_marker, PyObject *__pyx_v_color, PyObject *__pyx_v_size, PyObject *__pyx_v_opacity, CYTHON_UNUSED PyObject *__pyx_v_arrow, CYTHON_UNUSED PyObject *__pyx_v_stroke_width); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Point2D_22MiddlePoint(CYTHON_UNUSED PyObject *__pyx_self, CYTHON_UNUSED PyObject *__pyx_v_cls, PyObject *__pyx_v_point1, PyObject *__pyx_v_point2); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Point2D_24LineProjection(CYTHON_UNUSED PyObject *__pyx_self, CYTHON_UNUSED PyObject *__pyx_v_cls, PyObject *__pyx_v_point, PyObject *__pyx_v_line); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector3D___init__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_vector, PyObject *__pyx_v_name); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector3D_2__add__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_other_vector); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector3D_4__neg__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector3D_6__sub__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_other_vector); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector3D_8__mul__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector3D_10__truediv__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector3D_12__round__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_ndigits); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector3D_14__hash__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector3D_16__eq__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_other_vector); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector3D_18Dot(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_other_vector); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector3D_20Cross(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_other_vector); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector3D_22Norm(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector3D_24Normalize(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector3D_26point_distance(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_point2); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector3D_28Rotation(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_center, PyObject *__pyx_v_axis, PyObject *__pyx_v_angle, PyObject *__pyx_v_copy); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector3D_30x_rotation(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_angle, PyObject *__pyx_v_copy); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector3D_32y_rotation(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_angle, PyObject *__pyx_v_copy); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector3D_34z_rotation(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_angle, PyObject *__pyx_v_copy); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector3D_36Translation(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_offset, PyObject *__pyx_v_copy); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector3D_38frame_mapping(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_frame, PyObject *__pyx_v_side, PyObject *__pyx_v_copy); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector3D_40PlaneProjection3D(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_plane_origin, PyObject *__pyx_v_x, PyObject *__pyx_v_y); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector3D_42PlaneProjection2D(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_x, PyObject *__pyx_v_y); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector3D_44To2D(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_plane_origin, PyObject *__pyx_v_x, PyObject *__pyx_v_y); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector3D_46RandomUnitNormalVector(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector3D_48DeterministicUnitNormalVector(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector3D_50Copy(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector3D_52random(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_cls, PyObject *__pyx_v_xmin, PyObject *__pyx_v_xmax, PyObject *__pyx_v_ymin, PyObject *__pyx_v_ymax, PyObject *__pyx_v_zmin, PyObject *__pyx_v_zmax); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector3D_54from_step(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_cls, PyObject *__pyx_v_arguments, PyObject *__pyx_v_object_dict); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Vector3D_56MPLPlot(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_ax, PyObject *__pyx_v_starting_point, PyObject *__pyx_v_color); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Point3D___init__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_vector, PyObject *__pyx_v_name); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Point3D_2__add__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_other_vector); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Point3D_4__neg__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Point3D_6__sub__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_other_vector); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Point3D_8__mul__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Point3D_10__truediv__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Point3D_12Copy(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Point3D_14copy(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Point3D_16MPLPlot(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_ax); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Point3D_18To2D(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_plane_origin, PyObject *__pyx_v_x, PyObject *__pyx_v_y); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Point3D_20from_step(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_cls, PyObject *__pyx_v_arguments, CYTHON_UNUSED PyObject *__pyx_v_object_dict); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Point3D_22Babylon(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Matrix22___init__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_M11, PyObject *__pyx_v_M12, PyObject *__pyx_v_M21, PyObject *__pyx_v_M22); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Matrix22_2__add__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_other_matrix); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Matrix22_4__mul__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_other_matrix); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Matrix33___init__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_M11, PyObject *__pyx_v_M12, PyObject *__pyx_v_M13, PyObject *__pyx_v_M21, PyObject *__pyx_v_M22, PyObject *__pyx_v_M23, PyObject *__pyx_v_M31, PyObject *__pyx_v_M32, PyObject *__pyx_v_M33); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Matrix33_2__add__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_other_matrix); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Matrix33_4__mul__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_other_matrix); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Matrix33_6__repr__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Matrix33_8float_multiplication(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_float_value); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Matrix33_10vector_multiplication(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_vector); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Matrix33_12determinent(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Matrix33_14inverse(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Matrix33_16random_matrix(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_cls, PyObject *__pyx_v_minimum, PyObject *__pyx_v_maximum); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_8Matrix33_18to_numpy(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_5Basis___getitem__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_key); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_5Basis_2__setitem__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_key, PyObject *__pyx_v_item); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_5Basis_4__contains__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_vector); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_5Basis_6__eq__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_other_basis); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_5Basis_8__hash__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_5Basis_10copy(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Basis2D___init__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_u, PyObject *__pyx_v_v); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Basis2D_2__neg__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Basis2D_4__repr__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Basis2D_6_get_vectors(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Basis2D_8to_frame(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_origin); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Basis2D_10TransferMatrix(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Basis2D_12InverseTransferMatrix(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Basis2D_14NewCoordinates(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_vector); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Basis2D_16OldCoordinates(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_vector); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Basis2D_18Rotation(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_angle, PyObject *__pyx_v_copy); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Basis2D_20Copy(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Basis3D___init__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_u, PyObject *__pyx_v_v, PyObject *__pyx_v_w, PyObject *__pyx_v_name); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Basis3D_2__hash__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Basis3D_4__add__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_other_basis); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Basis3D_6__neg__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Basis3D_8__sub__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_other_frame); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Basis3D_10__round__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_ndigits); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Basis3D_12__repr__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Basis3D_14_get_vectors(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Basis3D_16from_two_vectors(CYTHON_UNUSED PyObject *__pyx_self, CYTHON_UNUSED PyObject *__pyx_v_cls, PyObject *__pyx_v_vector1, PyObject *__pyx_v_vector2); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Basis3D_18to_frame(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_origin); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Basis3D_20Rotation(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_axis, PyObject *__pyx_v_angle, PyObject *__pyx_v_copy); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Basis3D_22x_rotation(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_angle, PyObject *__pyx_v_copy); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Basis3D_24y_rotation(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_angle, PyObject *__pyx_v_copy); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Basis3D_26z_rotation(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_angle, PyObject *__pyx_v_copy); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Basis3D_28EulerRotation(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_angles, PyObject *__pyx_v_copy); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Basis3D_30TransferMatrix(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Basis3D_32InverseTransferMatrix(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Basis3D_34NewCoordinates(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_vector); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Basis3D_36OldCoordinates(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_point); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Basis3D_38copy(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Frame2D___init__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_origin, PyObject *__pyx_v_u, PyObject *__pyx_v_v); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Frame2D_2__repr__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Frame2D_4__neg__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Frame2D_6__add__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_other_frame); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Frame2D_8__sub__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_other_frame); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Frame2D_10Basis(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Frame2D_12NewCoordinates(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_vector); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Frame2D_14OldCoordinates(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_vector); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Frame2D_16Translation(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_vector, PyObject *__pyx_v_copy); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Frame2D_18Rotation(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_angle, PyObject *__pyx_v_copy); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Frame2D_20Draw(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_ax, PyObject *__pyx_v_style); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Frame2D_22Copy(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Frame3D___init__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_origin, PyObject *__pyx_v_u, PyObject *__pyx_v_v, PyObject *__pyx_v_w, PyObject *__pyx_v_name); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Frame3D_2__repr__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Frame3D_4__neg__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Frame3D_6__add__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_other_frame); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Frame3D_8__sub__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_other_frame); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Frame3D_10__round__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_ndigits); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Frame3D_12__hash__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Frame3D_14Basis(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Frame3D_16NewCoordinates(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_vector); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Frame3D_18OldCoordinates(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_vector); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Frame3D_20Rotation(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_axis, PyObject *__pyx_v_angle, PyObject *__pyx_v_copy); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Frame3D_22Translation(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_offset, PyObject *__pyx_v_copy); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Frame3D_24copy(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_28__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Frame3D_26plot2d(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_x, PyObject *__pyx_v_y, PyObject *__pyx_v_ax, PyObject *__pyx_v_color); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Frame3D_28from_step(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_cls, PyObject *__pyx_v_arguments, PyObject *__pyx_v_object_dict); /* proto */
static PyObject *__pyx_pf_7volmdlr_13core_compiled_7Frame3D_30babylonjs(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_size, PyObject *__pyx_v_parent); /* proto */
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static PyObject *__pyx_float_0_1;
static PyObject *__pyx_float_0_5;
static PyObject *__pyx_float_0_03;
static PyObject *__pyx_float_1eneg_5;
static PyObject *__pyx_float_1eneg_6;
static PyObject *__pyx_float_1eneg_8;
static PyObject *__pyx_float_1eneg_9;
static PyObject *__pyx_float_1eneg_08;
static PyObject *__pyx_float_1eneg_10;
static PyObject *__pyx_int_0;
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static PyObject *__pyx_int_2;
static PyObject *__pyx_int_3;
static PyObject *__pyx_int_4;
static PyObject *__pyx_int_6;
static PyObject *__pyx_int_10;
static PyObject *__pyx_int_111;
static PyObject *__pyx_int_1000;
static PyObject *__pyx_int_neg_1;
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static PyObject *__pyx_slice__10;
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 *     def MPLPlot(self, ax=None):             # <<<<<<<<<<<<<<
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 * 
 *     def To2D(self, plane_origin, x, y):             # <<<<<<<<<<<<<<
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 * 
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 *                     arguments[0][1:-1])
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 *         return s
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 * 
 * class Matrix22:
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 *     def __add__(self, other_matrix):             # <<<<<<<<<<<<<<
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 *                         )
 * 
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 * 
 * class Matrix33:
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 * #        return self.vector[key]
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 *     def __add__(self, other_matrix):             # <<<<<<<<<<<<<<
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 *                         self.M33 + other_matrix.M33)
 * 
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 * 
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 *         return s
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 *     def float_multiplication(self, float_value):             # <<<<<<<<<<<<<<
 *         return Matrix33(self.M11*float_value, self.M12*float_value, self.M13*float_value,
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 * 
 * 
 *     def vector_multiplication(self, vector):             # <<<<<<<<<<<<<<
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 *         return vector.__class__((u1, u2, u3))
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 *     def determinent(self):             # <<<<<<<<<<<<<<
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 * 
 *     @classmethod
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}

/* 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));
}

/* 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);
}

/* 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

/* 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

/* PyObjectCall */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    PyObject *result;
    ternaryfunc call = func->ob_type->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

/* 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 (PyCFunction_GET_FLAGS(func) & METH_FASTCALL) {
            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();
#ifdef _MSC_VER
    else state = (PyGILState_STATE)-1;
#endif
#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
}

/* 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;
    } else {
        return __Pyx_IterFinish();
    }
    return 0;
}

/* None */
static CYTHON_INLINE int __Pyx_mod_int(int a, int b) {
    int r = a % b;
    r += ((r != 0) & ((r ^ b) < 0)) * b;
    return r;
}

/* PyObjectSetAttrStr */
#if CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE int __Pyx_PyObject_SetAttrStr(PyObject* obj, PyObject* attr_name, PyObject* value) {
    PyTypeObject* tp = Py_TYPE(obj);
    if (likely(tp->tp_setattro))
        return tp->tp_setattro(obj, attr_name, value);
#if PY_MAJOR_VERSION < 3
    if (likely(tp->tp_setattr))
        return tp->tp_setattr(obj, PyString_AS_STRING(attr_name), value);
#endif
    return PyObject_SetAttr(obj, attr_name, value);
}
#endif

/* ObjectGetItem */
#if CYTHON_USE_TYPE_SLOTS
static PyObject *__Pyx_PyObject_GetIndex(PyObject *obj, PyObject* index) {
    PyObject *runerr;
    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

/* 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
#ifdef __Pyx_CyFunction_USED
    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

/* SliceObject */
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetSlice(PyObject* obj,
        Py_ssize_t cstart, Py_ssize_t cstop,
        PyObject** _py_start, PyObject** _py_stop, PyObject** _py_slice,
        int has_cstart, int has_cstop, CYTHON_UNUSED int wraparound) {
#if CYTHON_USE_TYPE_SLOTS
    PyMappingMethods* mp;
#if PY_MAJOR_VERSION < 3
    PySequenceMethods* ms = Py_TYPE(obj)->tp_as_sequence;
    if (likely(ms && ms->sq_slice)) {
        if (!has_cstart) {
            if (_py_start && (*_py_start != Py_None)) {
                cstart = __Pyx_PyIndex_AsSsize_t(*_py_start);
                if ((cstart == (Py_ssize_t)-1) && PyErr_Occurred()) goto bad;
            } else
                cstart = 0;
        }
        if (!has_cstop) {
            if (_py_stop && (*_py_stop != Py_None)) {
                cstop = __Pyx_PyIndex_AsSsize_t(*_py_stop);
                if ((cstop == (Py_ssize_t)-1) && PyErr_Occurred()) goto bad;
            } else
                cstop = PY_SSIZE_T_MAX;
        }
        if (wraparound && unlikely((cstart < 0) | (cstop < 0)) && likely(ms->sq_length)) {
            Py_ssize_t l = ms->sq_length(obj);
            if (likely(l >= 0)) {
                if (cstop < 0) {
                    cstop += l;
                    if (cstop < 0) cstop = 0;
                }
                if (cstart < 0) {
                    cstart += l;
                    if (cstart < 0) cstart = 0;
                }
            } else {
                if (!PyErr_ExceptionMatches(PyExc_OverflowError))
                    goto bad;
                PyErr_Clear();
            }
        }
        return ms->sq_slice(obj, cstart, cstop);
    }
#endif
    mp = Py_TYPE(obj)->tp_as_mapping;
    if (likely(mp && mp->mp_subscript))
#endif
    {
        PyObject* result;
        PyObject *py_slice, *py_start, *py_stop;
        if (_py_slice) {
            py_slice = *_py_slice;
        } else {
            PyObject* owned_start = NULL;
            PyObject* owned_stop = NULL;
            if (_py_start) {
                py_start = *_py_start;
            } else {
                if (has_cstart) {
                    owned_start = py_start = PyInt_FromSsize_t(cstart);
                    if (unlikely(!py_start)) goto bad;
                } else
                    py_start = Py_None;
            }
            if (_py_stop) {
                py_stop = *_py_stop;
            } else {
                if (has_cstop) {
                    owned_stop = py_stop = PyInt_FromSsize_t(cstop);
                    if (unlikely(!py_stop)) {
                        Py_XDECREF(owned_start);
                        goto bad;
                    }
                } else
                    py_stop = Py_None;
            }
            py_slice = PySlice_New(py_start, py_stop, Py_None);
            Py_XDECREF(owned_start);
            Py_XDECREF(owned_stop);
            if (unlikely(!py_slice)) goto bad;
        }
#if CYTHON_USE_TYPE_SLOTS
        result = mp->mp_subscript(obj, py_slice);
#else
        result = PyObject_GetItem(obj, py_slice);
#endif
        if (!_py_slice) {
            Py_DECREF(py_slice);
        }
        return result;
    }
    PyErr_Format(PyExc_TypeError,
        "'%.200s' object is unsliceable", Py_TYPE(obj)->tp_name);
bad:
    return NULL;
}

/* 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

/* SetItemInt */
static int __Pyx_SetItemInt_Generic(PyObject *o, PyObject *j, PyObject *v) {
    int r;
    if (!j) return -1;
    r = PyObject_SetItem(o, j, v);
    Py_DECREF(j);
    return r;
}
static CYTHON_INLINE int __Pyx_SetItemInt_Fast(PyObject *o, Py_ssize_t i, PyObject *v, 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) ? i : ((likely(i >= 0)) ? i : i + PyList_GET_SIZE(o));
        if ((!boundscheck) || likely(__Pyx_is_valid_index(n, PyList_GET_SIZE(o)))) {
            PyObject* old = PyList_GET_ITEM(o, n);
            Py_INCREF(v);
            PyList_SET_ITEM(o, n, v);
            Py_DECREF(old);
            return 1;
        }
    } else {
        PySequenceMethods *m = Py_TYPE(o)->tp_as_sequence;
        if (likely(m && m->sq_ass_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 -1;
                    PyErr_Clear();
                }
            }
            return m->sq_ass_item(o, i, v);
        }
    }
#else
#if CYTHON_COMPILING_IN_PYPY
    if (is_list || (PySequence_Check(o) && !PyDict_Check(o)))
#else
    if (is_list || PySequence_Check(o))
#endif
    {
        return PySequence_SetItem(o, i, v);
    }
#endif
    return __Pyx_SetItemInt_Generic(o, PyInt_FromSsize_t(i), v);
}

/* 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));
}

/* 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_COMPILING_IN_PYPY
        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);
#else
        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);
        }
#endif
    }
bad:
    Py_XDECREF(owned_instance);
    return;
}
#endif

/* 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_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
}

/* ArgTypeTest */
static int __Pyx__ArgTypeTest(PyObject *obj, PyTypeObject *type, const char *name, int exact)
{
    if (unlikely(!type)) {
        PyErr_SetString(PyExc_SystemError, "Missing type object");
        return 0;
    }
    else if (exact) {
        #if PY_MAJOR_VERSION == 2
        if ((type == &PyBaseString_Type) && likely(__Pyx_PyBaseString_CheckExact(obj))) return 1;
        #endif
    }
    else {
        if (likely(__Pyx_TypeCheck(obj, type))) return 1;
    }
    PyErr_Format(PyExc_TypeError,
        "Argument '%.200s' has incorrect type (expected %.200s, got %.200s)",
        name, type->tp_name, Py_TYPE(obj)->tp_name);
    return 0;
}

/* pyobject_as_double */
static double __Pyx__PyObject_AsDouble(PyObject* obj) {
    PyObject* float_value;
#if !CYTHON_USE_TYPE_SLOTS
    float_value = PyNumber_Float(obj);  if ((0)) goto bad;
#else
    PyNumberMethods *nb = Py_TYPE(obj)->tp_as_number;
    if (likely(nb) && likely(nb->nb_float)) {
        float_value = nb->nb_float(obj);
        if (likely(float_value) && unlikely(!PyFloat_Check(float_value))) {
            PyErr_Format(PyExc_TypeError,
                "__float__ returned non-float (type %.200s)",
                Py_TYPE(float_value)->tp_name);
            Py_DECREF(float_value);
            goto bad;
        }
    } else if (PyUnicode_CheckExact(obj) || PyBytes_CheckExact(obj)) {
#if PY_MAJOR_VERSION >= 3
        float_value = PyFloat_FromString(obj);
#else
        float_value = PyFloat_FromString(obj, 0);
#endif
    } else {
        PyObject* args = PyTuple_New(1);
        if (unlikely(!args)) goto bad;
        PyTuple_SET_ITEM(args, 0, obj);
        float_value = PyObject_Call((PyObject*)&PyFloat_Type, args, 0);
        PyTuple_SET_ITEM(args, 0, 0);
        Py_DECREF(args);
    }
#endif
    if (likely(float_value)) {
        double value = PyFloat_AS_DOUBLE(float_value);
        Py_DECREF(float_value);
        return value;
    }
bad:
    return (double)-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 (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;
}

/* CalculateMetaclass */
static PyObject *__Pyx_CalculateMetaclass(PyTypeObject *metaclass, PyObject *bases) {
    Py_ssize_t i, nbases = PyTuple_GET_SIZE(bases);
    for (i=0; i < nbases; i++) {
        PyTypeObject *tmptype;
        PyObject *tmp = PyTuple_GET_ITEM(bases, i);
        tmptype = Py_TYPE(tmp);
#if PY_MAJOR_VERSION < 3
        if (tmptype == &PyClass_Type)
            continue;
#endif
        if (!metaclass) {
            metaclass = tmptype;
            continue;
        }
        if (PyType_IsSubtype(metaclass, tmptype))
            continue;
        if (PyType_IsSubtype(tmptype, metaclass)) {
            metaclass = tmptype;
            continue;
        }
        PyErr_SetString(PyExc_TypeError,
                        "metaclass conflict: "
                        "the metaclass of a derived class "
                        "must be a (non-strict) subclass "
                        "of the metaclasses of all its bases");
        return NULL;
    }
    if (!metaclass) {
#if PY_MAJOR_VERSION < 3
        metaclass = &PyClass_Type;
#else
        metaclass = &PyType_Type;
#endif
    }
    Py_INCREF((PyObject*) metaclass);
    return (PyObject*) metaclass;
}

/* 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;
}

/* CythonFunction */
#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
    return PyUnicode_FromString(m->func.m_ml->ml_name);
#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_New(PyTypeObject *type, PyMethodDef *ml, int flags, PyObject* qualname,
                                      PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {
    __pyx_CyFunctionObject *op = PyObject_GC_New(__pyx_CyFunctionObject, type);
    if (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 = NULL;
    op->defaults_tuple = NULL;
    op->defaults_kwdict = NULL;
    op->defaults_getter = NULL;
    op->func_annotations = NULL;
    PyObject_GC_Track(op);
    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)
{
    __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;
    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);
            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
    0,
#endif
#if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
    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;
    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);
}

/* Py3ClassCreate */
static PyObject *__Pyx_Py3MetaclassPrepare(PyObject *metaclass, PyObject *bases, PyObject *name,
                                           PyObject *qualname, PyObject *mkw, PyObject *modname, PyObject *doc) {
    PyObject *ns;
    if (metaclass) {
        PyObject *prep = __Pyx_PyObject_GetAttrStr(metaclass, __pyx_n_s_prepare);
        if (prep) {
            PyObject *pargs = PyTuple_Pack(2, name, bases);
            if (unlikely(!pargs)) {
                Py_DECREF(prep);
                return NULL;
            }
            ns = PyObject_Call(prep, pargs, mkw);
            Py_DECREF(prep);
            Py_DECREF(pargs);
        } else {
            if (unlikely(!PyErr_ExceptionMatches(PyExc_AttributeError)))
                return NULL;
            PyErr_Clear();
            ns = PyDict_New();
        }
    } else {
        ns = PyDict_New();
    }
    if (unlikely(!ns))
        return NULL;
    if (unlikely(PyObject_SetItem(ns, __pyx_n_s_module, modname) < 0)) goto bad;
    if (unlikely(PyObject_SetItem(ns, __pyx_n_s_qualname, qualname) < 0)) goto bad;
    if (unlikely(doc && PyObject_SetItem(ns, __pyx_n_s_doc, doc) < 0)) goto bad;
    return ns;
bad:
    Py_DECREF(ns);
    return NULL;
}
static PyObject *__Pyx_Py3ClassCreate(PyObject *metaclass, PyObject *name, PyObject *bases,
                                      PyObject *dict, PyObject *mkw,
                                      int calculate_metaclass, int allow_py2_metaclass) {
    PyObject *result, *margs;
    PyObject *owned_metaclass = NULL;
    if (allow_py2_metaclass) {
        owned_metaclass = PyObject_GetItem(dict, __pyx_n_s_metaclass);
        if (owned_metaclass) {
            metaclass = owned_metaclass;
        } else if (likely(PyErr_ExceptionMatches(PyExc_KeyError))) {
            PyErr_Clear();
        } else {
            return NULL;
        }
    }
    if (calculate_metaclass && (!metaclass || PyType_Check(metaclass))) {
        metaclass = __Pyx_CalculateMetaclass((PyTypeObject*) metaclass, bases);
        Py_XDECREF(owned_metaclass);
        if (unlikely(!metaclass))
            return NULL;
        owned_metaclass = metaclass;
    }
    margs = PyTuple_Pack(3, name, bases, dict);
    if (unlikely(!margs)) {
        result = NULL;
    } else {
        result = PyObject_Call(metaclass, margs, mkw);
        Py_DECREF(margs);
    }
    Py_XDECREF(owned_metaclass);
    return result;
}

/* ClassMethod */
static PyObject* __Pyx_Method_ClassMethod(PyObject *method) {
#if CYTHON_COMPILING_IN_PYPY && PYPY_VERSION_NUM <= 0x05080000
    if (PyObject_TypeCheck(method, &PyWrapperDescr_Type)) {
        return PyClassMethod_New(method);
    }
#else
#if CYTHON_COMPILING_IN_PYSTON || CYTHON_COMPILING_IN_PYPY
    if (PyMethodDescr_Check(method))
#else
    static PyTypeObject *methoddescr_type = NULL;
    if (methoddescr_type == NULL) {
       PyObject *meth = PyObject_GetAttrString((PyObject*)&PyList_Type, "append");
       if (!meth) return NULL;
       methoddescr_type = Py_TYPE(meth);
       Py_DECREF(meth);
    }
    if (__Pyx_TypeCheck(method, methoddescr_type))
#endif
    {
        PyMethodDescrObject *descr = (PyMethodDescrObject *)method;
        #if PY_VERSION_HEX < 0x03020000
        PyTypeObject *d_type = descr->d_type;
        #else
        PyTypeObject *d_type = descr->d_common.d_type;
        #endif
        return PyDescr_NewClassMethod(d_type, descr->d_method);
    }
#endif
    else if (PyMethod_Check(method)) {
        return PyClassMethod_New(PyMethod_GET_FUNCTION(method));
    }
    else if (PyCFunction_Check(method)) {
        return PyClassMethod_New(method);
    }
#ifdef __Pyx_CyFunction_USED
    else if (__Pyx_CyFunction_Check(method)) {
        return PyClassMethod_New(method);
    }
#endif
    PyErr_SetString(PyExc_TypeError,
                   "Class-level classmethod() can only be called on "
                   "a method_descriptor or instance method.");
    return NULL;
}

/* CLineInTraceback */
#ifndef CYTHON_CLINE_IN_TRACEBACK
static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line) {
    PyObject *use_cline;
    PyObject *ptype, *pvalue, *ptraceback;
#if CYTHON_COMPILING_IN_CPYTHON
    PyObject **cython_runtime_dict;
#endif
    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;
        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"
static PyCodeObject* __Pyx_CreateCodeObjectForTraceback(
            const char *funcname, int c_line,
            int py_line, const char *filename) {
    PyCodeObject *py_code = 0;
    PyObject *py_srcfile = 0;
    PyObject *py_funcname = 0;
    #if PY_MAJOR_VERSION < 3
    py_srcfile = PyString_FromString(filename);
    #else
    py_srcfile = PyUnicode_FromString(filename);
    #endif
    if (!py_srcfile) goto bad;
    if (c_line) {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        #else
        py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        #endif
    }
    else {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromString(funcname);
        #else
        py_funcname = PyUnicode_FromString(funcname);
        #endif
    }
    if (!py_funcname) goto bad;
    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);
    Py_DECREF(py_funcname);
    return py_code;
bad:
    Py_XDECREF(py_srcfile);
    Py_XDECREF(py_funcname);
    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;
    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) {
        py_code = __Pyx_CreateCodeObjectForTraceback(
            funcname, c_line, py_line, filename);
        if (!py_code) goto bad;
        __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);
}

/* CIntToPy */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) {
    const long neg_one = (long) ((long) 0 - (long) 1), const_zero = (long) 0;
    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);
    }
}

/* ToPyCTupleUtility */
static PyObject* __pyx_convert__to_py___pyx_ctuple_double__and_double(__pyx_ctuple_double__and_double value) {
    PyObject* item = NULL;
    PyObject* result = PyTuple_New(2);
    if (!result) goto bad;
        item = PyFloat_FromDouble(value.f0);
        if (!item) goto bad;
        PyTuple_SET_ITEM(result, 0, item);
        item = PyFloat_FromDouble(value.f1);
        if (!item) goto bad;
        PyTuple_SET_ITEM(result, 1, item);
    return result;
bad:
    Py_XDECREF(item);
    Py_XDECREF(result);
    return NULL;
}

/* ToPyCTupleUtility */
static PyObject* __pyx_convert__to_py___pyx_ctuple_double__and_double__and_double(__pyx_ctuple_double__and_double__and_double value) {
    PyObject* item = NULL;
    PyObject* result = PyTuple_New(3);
    if (!result) goto bad;
        item = PyFloat_FromDouble(value.f0);
        if (!item) goto bad;
        PyTuple_SET_ITEM(result, 0, item);
        item = PyFloat_FromDouble(value.f1);
        if (!item) goto bad;
        PyTuple_SET_ITEM(result, 1, item);
        item = PyFloat_FromDouble(value.f2);
        if (!item) goto bad;
        PyTuple_SET_ITEM(result, 2, item);
    return result;
bad:
    Py_XDECREF(item);
    Py_XDECREF(result);
    return NULL;
}

/* 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;\
    }

/* CIntToPy */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value) {
    const int neg_one = (int) ((int) 0 - (int) 1), const_zero = (int) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(int) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(int) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(int) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(int) <= 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(int),
                                     little, !is_unsigned);
    }
}

/* FromPyCTupleUtility */
static __pyx_ctuple_double__and_double __pyx_convert__from_py___pyx_ctuple_double__and_double(PyObject * o) {
    __pyx_ctuple_double__and_double result;
    if (!PyTuple_Check(o) || PyTuple_GET_SIZE(o) != 2) {
        PyErr_Format(PyExc_TypeError, "Expected %.16s of size %d, got %.200s", "a tuple", 2, Py_TYPE(o)->tp_name);
        goto bad;
    }
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
        result.f0 = __pyx_PyFloat_AsDouble(PyTuple_GET_ITEM(o, 0));
        if ((result.f0 == (double)-1) && PyErr_Occurred()) goto bad;
        result.f1 = __pyx_PyFloat_AsDouble(PyTuple_GET_ITEM(o, 1));
        if ((result.f1 == (double)-1) && PyErr_Occurred()) goto bad;
#else
    {
        PyObject *item;
        item = PySequence_ITEM(o, 0);  if (unlikely(!item)) goto bad;
        result.f0 = __pyx_PyFloat_AsDouble(item);
        Py_DECREF(item);
        if ((result.f0 == (double)-1) && PyErr_Occurred()) goto bad;
        item = PySequence_ITEM(o, 1);  if (unlikely(!item)) goto bad;
        result.f1 = __pyx_PyFloat_AsDouble(item);
        Py_DECREF(item);
        if ((result.f1 == (double)-1) && PyErr_Occurred()) goto bad;
    }
#endif
    return result;
bad:
    return result;
}

/* ToPyCTupleUtility */
static PyObject* __pyx_convert__to_py___pyx_ctuple_double__and___dunderpyx_ctuple_double__dunderand_double(__pyx_ctuple_double__and___dunderpyx_ctuple_double__dunderand_double value) {
    PyObject* item = NULL;
    PyObject* result = PyTuple_New(2);
    if (!result) goto bad;
        item = PyFloat_FromDouble(value.f0);
        if (!item) goto bad;
        PyTuple_SET_ITEM(result, 0, item);
        item = __pyx_convert__to_py___pyx_ctuple_double__and_double(value.f1);
        if (!item) goto bad;
        PyTuple_SET_ITEM(result, 1, item);
    return result;
bad:
    Py_XDECREF(item);
    Py_XDECREF(result);
    return NULL;
}

/* Print */
#if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION < 3
static PyObject *__Pyx_GetStdout(void) {
    PyObject *f = PySys_GetObject((char *)"stdout");
    if (!f) {
        PyErr_SetString(PyExc_RuntimeError, "lost sys.stdout");
    }
    return f;
}
static int __Pyx_Print(PyObject* f, PyObject *arg_tuple, int newline) {
    int i;
    if (!f) {
        if (!(f = __Pyx_GetStdout()))
            return -1;
    }
    Py_INCREF(f);
    for (i=0; i < PyTuple_GET_SIZE(arg_tuple); i++) {
        PyObject* v;
        if (PyFile_SoftSpace(f, 1)) {
            if (PyFile_WriteString(" ", f) < 0)
                goto error;
        }
        v = PyTuple_GET_ITEM(arg_tuple, i);
        if (PyFile_WriteObject(v, f, Py_PRINT_RAW) < 0)
            goto error;
        if (PyString_Check(v)) {
            char *s = PyString_AsString(v);
            Py_ssize_t len = PyString_Size(v);
            if (len > 0) {
                switch (s[len-1]) {
                    case ' ': break;
                    case '\f': case '\r': case '\n': case '\t': case '\v':
                        PyFile_SoftSpace(f, 0);
                        break;
                    default:  break;
                }
            }
        }
    }
    if (newline) {
        if (PyFile_WriteString("\n", f) < 0)
            goto error;
        PyFile_SoftSpace(f, 0);
    }
    Py_DECREF(f);
    return 0;
error:
    Py_DECREF(f);
    return -1;
}
#else
static int __Pyx_Print(PyObject* stream, PyObject *arg_tuple, int newline) {
    PyObject* kwargs = 0;
    PyObject* result = 0;
    PyObject* end_string;
    if (unlikely(!__pyx_print)) {
        __pyx_print = PyObject_GetAttr(__pyx_b, __pyx_n_s_print);
        if (!__pyx_print)
            return -1;
    }
    if (stream) {
        kwargs = PyDict_New();
        if (unlikely(!kwargs))
            return -1;
        if (unlikely(PyDict_SetItem(kwargs, __pyx_n_s_file, stream) < 0))
            goto bad;
        if (!newline) {
            end_string = PyUnicode_FromStringAndSize(" ", 1);
            if (unlikely(!end_string))
                goto bad;
            if (PyDict_SetItem(kwargs, __pyx_n_s_end, end_string) < 0) {
                Py_DECREF(end_string);
                goto bad;
            }
            Py_DECREF(end_string);
        }
    } else if (!newline) {
        if (unlikely(!__pyx_print_kwargs)) {
            __pyx_print_kwargs = PyDict_New();
            if (unlikely(!__pyx_print_kwargs))
                return -1;
            end_string = PyUnicode_FromStringAndSize(" ", 1);
            if (unlikely(!end_string))
                return -1;
            if (PyDict_SetItem(__pyx_print_kwargs, __pyx_n_s_end, end_string) < 0) {
                Py_DECREF(end_string);
                return -1;
            }
            Py_DECREF(end_string);
        }
        kwargs = __pyx_print_kwargs;
    }
    result = PyObject_Call(__pyx_print, arg_tuple, kwargs);
    if (unlikely(kwargs) && (kwargs != __pyx_print_kwargs))
        Py_DECREF(kwargs);
    if (!result)
        return -1;
    Py_DECREF(result);
    return 0;
bad:
    if (kwargs != __pyx_print_kwargs)
        Py_XDECREF(kwargs);
    return -1;
}
#endif

/* CIntFromPy */
static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *x) {
    const int neg_one = (int) ((int) 0 - (int) 1), const_zero = (int) 0;
    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
            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;
}

/* CIntFromPy */
static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *x) {
    const long neg_one = (long) ((long) 0 - (long) 1), const_zero = (long) 0;
    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
            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;
}

/* PrintOne */
#if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION < 3
static int __Pyx_PrintOne(PyObject* f, PyObject *o) {
    if (!f) {
        if (!(f = __Pyx_GetStdout()))
            return -1;
    }
    Py_INCREF(f);
    if (PyFile_SoftSpace(f, 0)) {
        if (PyFile_WriteString(" ", f) < 0)
            goto error;
    }
    if (PyFile_WriteObject(o, f, Py_PRINT_RAW) < 0)
        goto error;
    if (PyFile_WriteString("\n", f) < 0)
        goto error;
    Py_DECREF(f);
    return 0;
error:
    Py_DECREF(f);
    return -1;
    /* the line below is just to avoid C compiler
     * warnings about unused functions */
    return __Pyx_Print(f, NULL, 0);
}
#else
static int __Pyx_PrintOne(PyObject* stream, PyObject *o) {
    int res;
    PyObject* arg_tuple = PyTuple_Pack(1, o);
    if (unlikely(!arg_tuple))
        return -1;
    res = __Pyx_Print(stream, arg_tuple, 1);
    Py_DECREF(arg_tuple);
    return res;
}
#endif

/* 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[4], rtversion[4];
    PyOS_snprintf(ctversion, 4, "%d.%d", PY_MAJOR_VERSION, PY_MINOR_VERSION);
    PyOS_snprintf(rtversion, 4, "%s", Py_GetVersion());
    if (ctversion[0] != rtversion[0] || ctversion[2] != rtversion[2]) {
        char message[200];
        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 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 */
