/* Generated by Cython 3.0.0a11 */

/* BEGIN: Cython Metadata
{
    "distutils": {
        "name": "rubato.utils.computation.vector",
        "sources": [
            "rubato\\utils\\computation\\vector.py"
        ]
    },
    "module_name": "rubato.utils.computation.vector"
}
END: Cython Metadata */

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

#include "Python.h"
#ifndef Py_PYTHON_H
    #error Python headers needed to compile C extensions, please install development version of Python.
#elif PY_VERSION_HEX < 0x02070000 || (0x03000000 <= PY_VERSION_HEX && PY_VERSION_HEX < 0x03030000)
    #error Cython requires Python 2.7+ or Python 3.3+.
#else
#define CYTHON_ABI "3_0_0a11"
#define __PYX_ABI_MODULE_NAME "_cython_" CYTHON_ABI
#define __PYX_TYPE_MODULE_PREFIX __PYX_ABI_MODULE_NAME "."
#define CYTHON_HEX_VERSION 0x030000AB
#define CYTHON_FUTURE_DIVISION 1
#include <stddef.h>
#ifndef offsetof
  #define offsetof(type, member) ( (size_t) & ((type*)0) -> member )
#endif
#if !defined(_WIN32) && !defined(WIN32) && !defined(MS_WINDOWS)
  #ifndef __stdcall
    #define __stdcall
  #endif
  #ifndef __cdecl
    #define __cdecl
  #endif
  #ifndef __fastcall
    #define __fastcall
  #endif
#endif
#ifndef DL_IMPORT
  #define DL_IMPORT(t) t
#endif
#ifndef DL_EXPORT
  #define DL_EXPORT(t) t
#endif
#define __PYX_COMMA ,
#ifndef HAVE_LONG_LONG
  #define HAVE_LONG_LONG
#endif
#ifndef PY_LONG_LONG
  #define PY_LONG_LONG LONG_LONG
#endif
#ifndef Py_HUGE_VAL
  #define Py_HUGE_VAL HUGE_VAL
#endif
#if defined(GRAALVM_PYTHON)
  /* For very preliminary testing purposes. Most variables are set the same as PyPy.
     The existence of this section does not imply that anything works or is even tested */
  #define CYTHON_COMPILING_IN_PYPY 0
  #define CYTHON_COMPILING_IN_CPYTHON 0
  #define CYTHON_COMPILING_IN_LIMITED_API 0
  #define CYTHON_COMPILING_IN_GRAAL 1
  #define CYTHON_COMPILING_IN_NOGIL 0
  #undef CYTHON_USE_TYPE_SLOTS
  #define CYTHON_USE_TYPE_SLOTS 0
  #undef CYTHON_USE_TYPE_SPECS
  #define CYTHON_USE_TYPE_SPECS 0
  #undef CYTHON_USE_PYTYPE_LOOKUP
  #define CYTHON_USE_PYTYPE_LOOKUP 0
  #if PY_VERSION_HEX < 0x03050000
    #undef CYTHON_USE_ASYNC_SLOTS
    #define CYTHON_USE_ASYNC_SLOTS 0
  #elif !defined(CYTHON_USE_ASYNC_SLOTS)
    #define CYTHON_USE_ASYNC_SLOTS 1
  #endif
  #undef CYTHON_USE_PYLIST_INTERNALS
  #define CYTHON_USE_PYLIST_INTERNALS 0
  #undef CYTHON_USE_UNICODE_INTERNALS
  #define CYTHON_USE_UNICODE_INTERNALS 0
  #undef CYTHON_USE_UNICODE_WRITER
  #define CYTHON_USE_UNICODE_WRITER 0
  #undef CYTHON_USE_PYLONG_INTERNALS
  #define CYTHON_USE_PYLONG_INTERNALS 0
  #undef CYTHON_AVOID_BORROWED_REFS
  #define CYTHON_AVOID_BORROWED_REFS 1
  #undef CYTHON_ASSUME_SAFE_MACROS
  #define CYTHON_ASSUME_SAFE_MACROS 0
  #undef CYTHON_UNPACK_METHODS
  #define CYTHON_UNPACK_METHODS 0
  #undef CYTHON_FAST_THREAD_STATE
  #define CYTHON_FAST_THREAD_STATE 0
  #undef CYTHON_FAST_GIL
  #define CYTHON_FAST_GIL 0
  #undef CYTHON_METH_FASTCALL
  #define CYTHON_METH_FASTCALL 0
  #undef CYTHON_FAST_PYCALL
  #define CYTHON_FAST_PYCALL 0
  #ifndef CYTHON_PEP487_INIT_SUBCLASS
    #define CYTHON_PEP487_INIT_SUBCLASS (PY_MAJOR_VERSION >= 3)
  #endif
  #undef CYTHON_PEP489_MULTI_PHASE_INIT
  #define CYTHON_PEP489_MULTI_PHASE_INIT 1
  #undef CYTHON_USE_MODULE_STATE
  #define CYTHON_USE_MODULE_STATE 0
  #undef CYTHON_USE_TP_FINALIZE
  #define CYTHON_USE_TP_FINALIZE 0
  #undef CYTHON_USE_DICT_VERSIONS
  #define CYTHON_USE_DICT_VERSIONS 0
  #undef CYTHON_USE_EXC_INFO_STACK
  #define CYTHON_USE_EXC_INFO_STACK 0
  #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC
    #define CYTHON_UPDATE_DESCRIPTOR_DOC 0
  #endif
#elif defined(PYPY_VERSION)
  #define CYTHON_COMPILING_IN_PYPY 1
  #define CYTHON_COMPILING_IN_CPYTHON 0
  #define CYTHON_COMPILING_IN_LIMITED_API 0
  #define CYTHON_COMPILING_IN_GRAAL 0
  #define CYTHON_COMPILING_IN_NOGIL 0
  #undef CYTHON_USE_TYPE_SLOTS
  #define CYTHON_USE_TYPE_SLOTS 0
  #undef CYTHON_USE_TYPE_SPECS
  #define CYTHON_USE_TYPE_SPECS 0
  #undef CYTHON_USE_PYTYPE_LOOKUP
  #define CYTHON_USE_PYTYPE_LOOKUP 0
  #if PY_VERSION_HEX < 0x03050000
    #undef CYTHON_USE_ASYNC_SLOTS
    #define CYTHON_USE_ASYNC_SLOTS 0
  #elif !defined(CYTHON_USE_ASYNC_SLOTS)
    #define CYTHON_USE_ASYNC_SLOTS 1
  #endif
  #undef CYTHON_USE_PYLIST_INTERNALS
  #define CYTHON_USE_PYLIST_INTERNALS 0
  #undef CYTHON_USE_UNICODE_INTERNALS
  #define CYTHON_USE_UNICODE_INTERNALS 0
  #undef CYTHON_USE_UNICODE_WRITER
  #define CYTHON_USE_UNICODE_WRITER 0
  #undef CYTHON_USE_PYLONG_INTERNALS
  #define CYTHON_USE_PYLONG_INTERNALS 0
  #undef CYTHON_AVOID_BORROWED_REFS
  #define CYTHON_AVOID_BORROWED_REFS 1
  #undef CYTHON_ASSUME_SAFE_MACROS
  #define CYTHON_ASSUME_SAFE_MACROS 0
  #undef CYTHON_UNPACK_METHODS
  #define CYTHON_UNPACK_METHODS 0
  #undef CYTHON_FAST_THREAD_STATE
  #define CYTHON_FAST_THREAD_STATE 0
  #undef CYTHON_FAST_GIL
  #define CYTHON_FAST_GIL 0
  #undef CYTHON_METH_FASTCALL
  #define CYTHON_METH_FASTCALL 0
  #undef CYTHON_FAST_PYCALL
  #define CYTHON_FAST_PYCALL 0
  #ifndef CYTHON_PEP487_INIT_SUBCLASS
    #define CYTHON_PEP487_INIT_SUBCLASS (PY_MAJOR_VERSION >= 3)
  #endif
  #undef CYTHON_PEP489_MULTI_PHASE_INIT
  #define CYTHON_PEP489_MULTI_PHASE_INIT 0
  #undef CYTHON_USE_MODULE_STATE
  #define CYTHON_USE_MODULE_STATE 0
  #undef CYTHON_USE_TP_FINALIZE
  #define CYTHON_USE_TP_FINALIZE 0
  #undef CYTHON_USE_DICT_VERSIONS
  #define CYTHON_USE_DICT_VERSIONS 0
  #undef CYTHON_USE_EXC_INFO_STACK
  #define CYTHON_USE_EXC_INFO_STACK 0
  #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC
    #define CYTHON_UPDATE_DESCRIPTOR_DOC (PYPY_VERSION_HEX >= 0x07030900)
  #endif
#elif defined(CYTHON_LIMITED_API)
  #define CYTHON_COMPILING_IN_PYPY 0
  #define CYTHON_COMPILING_IN_CPYTHON 0
  #define CYTHON_COMPILING_IN_LIMITED_API 1
  #define CYTHON_COMPILING_IN_GRAAL 0
  #define CYTHON_COMPILING_IN_NOGIL 0
  #undef CYTHON_CLINE_IN_TRACEBACK
  #define CYTHON_CLINE_IN_TRACEBACK 0
  #undef CYTHON_USE_TYPE_SLOTS
  #define CYTHON_USE_TYPE_SLOTS 0
  #undef CYTHON_USE_TYPE_SPECS
  #define CYTHON_USE_TYPE_SPECS 1
  #undef CYTHON_USE_PYTYPE_LOOKUP
  #define CYTHON_USE_PYTYPE_LOOKUP 0
  #undef CYTHON_USE_ASYNC_SLOTS
  #define CYTHON_USE_ASYNC_SLOTS 0
  #undef CYTHON_USE_PYLIST_INTERNALS
  #define CYTHON_USE_PYLIST_INTERNALS 0
  #undef CYTHON_USE_UNICODE_INTERNALS
  #define CYTHON_USE_UNICODE_INTERNALS 0
  #ifndef CYTHON_USE_UNICODE_WRITER
    #define CYTHON_USE_UNICODE_WRITER 0
  #endif
  #undef CYTHON_USE_PYLONG_INTERNALS
  #define CYTHON_USE_PYLONG_INTERNALS 0
  #ifndef CYTHON_AVOID_BORROWED_REFS
    #define CYTHON_AVOID_BORROWED_REFS 0
  #endif
  #undef CYTHON_ASSUME_SAFE_MACROS
  #define CYTHON_ASSUME_SAFE_MACROS 0
  #undef CYTHON_UNPACK_METHODS
  #define CYTHON_UNPACK_METHODS 0
  #undef CYTHON_FAST_THREAD_STATE
  #define CYTHON_FAST_THREAD_STATE 0
  #undef CYTHON_FAST_GIL
  #define CYTHON_FAST_GIL 0
  #undef CYTHON_METH_FASTCALL
  #define CYTHON_METH_FASTCALL 0
  #undef CYTHON_FAST_PYCALL
  #define CYTHON_FAST_PYCALL 0
  #ifndef CYTHON_PEP487_INIT_SUBCLASS
    #define CYTHON_PEP487_INIT_SUBCLASS 1
  #endif
  #undef CYTHON_PEP489_MULTI_PHASE_INIT
  #define CYTHON_PEP489_MULTI_PHASE_INIT 0
  #undef CYTHON_USE_MODULE_STATE
  #define CYTHON_USE_MODULE_STATE 1
  #ifndef CYTHON_USE_TP_FINALIZE
    #define CYTHON_USE_TP_FINALIZE 1
  #endif
  #undef CYTHON_USE_DICT_VERSIONS
  #define CYTHON_USE_DICT_VERSIONS 0
  #undef CYTHON_USE_EXC_INFO_STACK
  #define CYTHON_USE_EXC_INFO_STACK 0
  #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC
    #define CYTHON_UPDATE_DESCRIPTOR_DOC 0
  #endif
#elif defined(PY_NOGIL)
  #define CYTHON_COMPILING_IN_PYPY 0
  #define CYTHON_COMPILING_IN_CPYTHON 0
  #define CYTHON_COMPILING_IN_LIMITED_API 0
  #define CYTHON_COMPILING_IN_GRAAL 0
  #define CYTHON_COMPILING_IN_NOGIL 1
  #ifndef CYTHON_USE_TYPE_SLOTS
    #define CYTHON_USE_TYPE_SLOTS 1
  #endif
  #undef CYTHON_USE_PYTYPE_LOOKUP
  #define CYTHON_USE_PYTYPE_LOOKUP 0
  #ifndef CYTHON_USE_ASYNC_SLOTS
    #define CYTHON_USE_ASYNC_SLOTS 1
  #endif
  #undef CYTHON_USE_PYLIST_INTERNALS
  #define CYTHON_USE_PYLIST_INTERNALS 0
  #ifndef CYTHON_USE_UNICODE_INTERNALS
    #define CYTHON_USE_UNICODE_INTERNALS 1
  #endif
  #undef CYTHON_USE_UNICODE_WRITER
  #define CYTHON_USE_UNICODE_WRITER 0
  #undef CYTHON_USE_PYLONG_INTERNALS
  #define CYTHON_USE_PYLONG_INTERNALS 0
  #ifndef CYTHON_AVOID_BORROWED_REFS
    #define CYTHON_AVOID_BORROWED_REFS 0
  #endif
  #ifndef CYTHON_ASSUME_SAFE_MACROS
    #define CYTHON_ASSUME_SAFE_MACROS 1
  #endif
  #ifndef CYTHON_UNPACK_METHODS
    #define CYTHON_UNPACK_METHODS 1
  #endif
  #undef CYTHON_FAST_THREAD_STATE
  #define CYTHON_FAST_THREAD_STATE 0
  #undef CYTHON_FAST_PYCALL
  #define CYTHON_FAST_PYCALL 0
  #ifndef CYTHON_PEP489_MULTI_PHASE_INIT
    #define CYTHON_PEP489_MULTI_PHASE_INIT 1
  #endif
  #ifndef CYTHON_USE_TP_FINALIZE
    #define CYTHON_USE_TP_FINALIZE 1
  #endif
  #undef CYTHON_USE_DICT_VERSIONS
  #define CYTHON_USE_DICT_VERSIONS 0
  #undef CYTHON_USE_EXC_INFO_STACK
  #define CYTHON_USE_EXC_INFO_STACK 0
#else
  #define CYTHON_COMPILING_IN_PYPY 0
  #define CYTHON_COMPILING_IN_CPYTHON 1
  #define CYTHON_COMPILING_IN_LIMITED_API 0
  #define CYTHON_COMPILING_IN_GRAAL 0
  #define CYTHON_COMPILING_IN_NOGIL 0
  #ifndef CYTHON_USE_TYPE_SLOTS
    #define CYTHON_USE_TYPE_SLOTS 1
  #endif
  #ifndef CYTHON_USE_TYPE_SPECS
    #define CYTHON_USE_TYPE_SPECS 0
  #endif
  #ifndef CYTHON_USE_PYTYPE_LOOKUP
    #define CYTHON_USE_PYTYPE_LOOKUP 1
  #endif
  #if PY_MAJOR_VERSION < 3
    #undef CYTHON_USE_ASYNC_SLOTS
    #define CYTHON_USE_ASYNC_SLOTS 0
  #elif !defined(CYTHON_USE_ASYNC_SLOTS)
    #define CYTHON_USE_ASYNC_SLOTS 1
  #endif
  #ifndef CYTHON_USE_PYLONG_INTERNALS
    #define CYTHON_USE_PYLONG_INTERNALS 1
  #endif
  #ifndef CYTHON_USE_PYLIST_INTERNALS
    #define CYTHON_USE_PYLIST_INTERNALS 1
  #endif
  #ifndef CYTHON_USE_UNICODE_INTERNALS
    #define CYTHON_USE_UNICODE_INTERNALS 1
  #endif
  #if PY_VERSION_HEX < 0x030300F0 || PY_VERSION_HEX >= 0x030B00A2
    #undef CYTHON_USE_UNICODE_WRITER
    #define CYTHON_USE_UNICODE_WRITER 0
  #elif !defined(CYTHON_USE_UNICODE_WRITER)
    #define CYTHON_USE_UNICODE_WRITER 1
  #endif
  #ifndef CYTHON_AVOID_BORROWED_REFS
    #define CYTHON_AVOID_BORROWED_REFS 0
  #endif
  #ifndef CYTHON_ASSUME_SAFE_MACROS
    #define CYTHON_ASSUME_SAFE_MACROS 1
  #endif
  #ifndef CYTHON_UNPACK_METHODS
    #define CYTHON_UNPACK_METHODS 1
  #endif
  #ifndef CYTHON_FAST_THREAD_STATE
    #define CYTHON_FAST_THREAD_STATE 1
  #endif
  #ifndef CYTHON_FAST_GIL
    #define CYTHON_FAST_GIL (PY_MAJOR_VERSION < 3 || PY_VERSION_HEX >= 0x03060000)
  #endif
  #ifndef CYTHON_METH_FASTCALL
    #define CYTHON_METH_FASTCALL (PY_VERSION_HEX >= 0x030700A1)
  #endif
  #ifndef CYTHON_FAST_PYCALL
    #define CYTHON_FAST_PYCALL 1
  #endif
  #ifndef CYTHON_PEP487_INIT_SUBCLASS
    #define CYTHON_PEP487_INIT_SUBCLASS 1
  #endif
  #if PY_VERSION_HEX < 0x03050000
    #undef CYTHON_PEP489_MULTI_PHASE_INIT
    #define CYTHON_PEP489_MULTI_PHASE_INIT 0
  #elif !defined(CYTHON_PEP489_MULTI_PHASE_INIT)
    #define CYTHON_PEP489_MULTI_PHASE_INIT 1
  #endif
  #ifndef CYTHON_USE_MODULE_STATE
    #define CYTHON_USE_MODULE_STATE 0
  #endif
  #if PY_VERSION_HEX < 0x030400a1
    #undef CYTHON_USE_TP_FINALIZE
    #define CYTHON_USE_TP_FINALIZE 0
  #elif !defined(CYTHON_USE_TP_FINALIZE)
    #define CYTHON_USE_TP_FINALIZE 1
  #endif
  #if PY_VERSION_HEX < 0x030600B1
    #undef CYTHON_USE_DICT_VERSIONS
    #define CYTHON_USE_DICT_VERSIONS 0
  #elif !defined(CYTHON_USE_DICT_VERSIONS)
    #define CYTHON_USE_DICT_VERSIONS 1
  #endif
  #if PY_VERSION_HEX < 0x030700A3
    #undef CYTHON_USE_EXC_INFO_STACK
    #define CYTHON_USE_EXC_INFO_STACK 0
  #elif !defined(CYTHON_USE_EXC_INFO_STACK)
    #define CYTHON_USE_EXC_INFO_STACK 1
  #endif
  #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC
    #define CYTHON_UPDATE_DESCRIPTOR_DOC 1
  #endif
#endif
#if !defined(CYTHON_FAST_PYCCALL)
#define CYTHON_FAST_PYCCALL  (CYTHON_FAST_PYCALL && PY_VERSION_HEX >= 0x030600B1)
#endif
#if !defined(CYTHON_VECTORCALL)
#define CYTHON_VECTORCALL  (CYTHON_FAST_PYCCALL && PY_VERSION_HEX >= 0x030800B1)
#endif
#define CYTHON_BACKPORT_VECTORCALL (CYTHON_METH_FASTCALL && PY_VERSION_HEX < 0x030800B1)
#if CYTHON_USE_PYLONG_INTERNALS
  #if PY_MAJOR_VERSION < 3
    #include "longintrepr.h"
  #endif
  #undef SHIFT
  #undef BASE
  #undef MASK
  #ifdef SIZEOF_VOID_P
    enum { __pyx_check_sizeof_voidp = 1 / (int)(SIZEOF_VOID_P == sizeof(void*)) };
  #endif
#endif
#ifndef __has_attribute
  #define __has_attribute(x) 0
#endif
#ifndef __has_cpp_attribute
  #define __has_cpp_attribute(x) 0
#endif
#ifndef CYTHON_RESTRICT
  #if defined(__GNUC__)
    #define CYTHON_RESTRICT __restrict__
  #elif defined(_MSC_VER) && _MSC_VER >= 1400
    #define CYTHON_RESTRICT __restrict
  #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define CYTHON_RESTRICT restrict
  #else
    #define CYTHON_RESTRICT
  #endif
#endif
#ifndef CYTHON_UNUSED
# if defined(__GNUC__)
#   if !(defined(__cplusplus)) || (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 4))
#     define CYTHON_UNUSED __attribute__ ((__unused__))
#   else
#     define CYTHON_UNUSED
#   endif
# elif defined(__ICC) || (defined(__INTEL_COMPILER) && !defined(_MSC_VER))
#   define CYTHON_UNUSED __attribute__ ((__unused__))
# else
#   define CYTHON_UNUSED
# endif
#endif
#ifndef CYTHON_UNUSED_VAR
#  if defined(__cplusplus)
     template<class T> void CYTHON_UNUSED_VAR( const T& ) { }
#  else
#    define CYTHON_UNUSED_VAR(x) (void)(x)
#  endif
#endif
#ifndef CYTHON_MAYBE_UNUSED_VAR
  #define CYTHON_MAYBE_UNUSED_VAR(x) CYTHON_UNUSED_VAR(x)
#endif
#ifndef CYTHON_NCP_UNUSED
# if CYTHON_COMPILING_IN_CPYTHON
#  define CYTHON_NCP_UNUSED
# else
#  define CYTHON_NCP_UNUSED CYTHON_UNUSED
# endif
#endif
#define __Pyx_void_to_None(void_result) ((void)(void_result), Py_INCREF(Py_None), Py_None)
#ifdef _MSC_VER
    #ifndef _MSC_STDINT_H_
        #if _MSC_VER < 1300
            typedef unsigned char     uint8_t;
            typedef unsigned short    uint16_t;
            typedef unsigned int      uint32_t;
        #else
            typedef unsigned __int8   uint8_t;
            typedef unsigned __int16  uint16_t;
            typedef unsigned __int32  uint32_t;
        #endif
    #endif
    #if _MSC_VER < 1300
        #ifdef _WIN64
            typedef unsigned long long  __pyx_uintptr_t;
        #else
            typedef unsigned int        __pyx_uintptr_t;
        #endif
    #else
        #ifdef _WIN64
            typedef unsigned __int64    __pyx_uintptr_t;
        #else
            typedef unsigned __int32    __pyx_uintptr_t;
        #endif
    #endif
#else
    #include <stdint.h>
    typedef uintptr_t  __pyx_uintptr_t;
#endif
#ifndef CYTHON_FALLTHROUGH
  #if defined(__cplusplus) && __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_DefaultClassType PyClass_Type
  #define __Pyx_PyCode_New(a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
          PyCode_New(a+k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
#else
  #define __Pyx_BUILTIN_MODULE_NAME "builtins"
  #define __Pyx_DefaultClassType PyType_Type
#if PY_VERSION_HEX >= 0x030B00A1
    static CYTHON_INLINE PyCodeObject* __Pyx_PyCode_New(int a, int p, int k, int l, int s, int f,
                                                    PyObject *code, PyObject *c, PyObject* n, PyObject *v,
                                                    PyObject *fv, PyObject *cell, PyObject* fn,
                                                    PyObject *name, int fline, PyObject *lnos) {
        PyObject *kwds=NULL, *argcount=NULL, *posonlyargcount=NULL, *kwonlyargcount=NULL;
        PyObject *nlocals=NULL, *stacksize=NULL, *flags=NULL, *replace=NULL, *call_result=NULL, *empty=NULL;
        const char *fn_cstr=NULL;
        const char *name_cstr=NULL;
        PyCodeObject* co=NULL;
        PyObject *type, *value, *traceback;
        PyErr_Fetch(&type, &value, &traceback);
        if (!(kwds=PyDict_New())) goto end;
        if (!(argcount=PyLong_FromLong(a))) goto end;
        if (PyDict_SetItemString(kwds, "co_argcount", argcount) != 0) goto end;
        if (!(posonlyargcount=PyLong_FromLong(p))) goto end;
        if (PyDict_SetItemString(kwds, "co_posonlyargcount", posonlyargcount) != 0) goto end;
        if (!(kwonlyargcount=PyLong_FromLong(k))) goto end;
        if (PyDict_SetItemString(kwds, "co_kwonlyargcount", kwonlyargcount) != 0) goto end;
        if (!(nlocals=PyLong_FromLong(l))) goto end;
        if (PyDict_SetItemString(kwds, "co_nlocals", nlocals) != 0) goto end;
        if (!(stacksize=PyLong_FromLong(s))) goto end;
        if (PyDict_SetItemString(kwds, "co_stacksize", stacksize) != 0) goto end;
        if (!(flags=PyLong_FromLong(f))) goto end;
        if (PyDict_SetItemString(kwds, "co_flags", flags) != 0) goto end;
        if (PyDict_SetItemString(kwds, "co_code", code) != 0) goto end;
        if (PyDict_SetItemString(kwds, "co_consts", c) != 0) goto end;
        if (PyDict_SetItemString(kwds, "co_names", n) != 0) goto end;
        if (PyDict_SetItemString(kwds, "co_varnames", v) != 0) goto end;
        if (PyDict_SetItemString(kwds, "co_freevars", fv) != 0) goto end;
        if (PyDict_SetItemString(kwds, "co_cellvars", cell) != 0) goto end;
        if (PyDict_SetItemString(kwds, "co_linetable", lnos) != 0) goto end;
        if (!(fn_cstr=PyUnicode_AsUTF8AndSize(fn, NULL))) goto end;
        if (!(name_cstr=PyUnicode_AsUTF8AndSize(name, NULL))) goto end;
        if (!(co = PyCode_NewEmpty(fn_cstr, name_cstr, fline))) goto end;
        if (!(replace = PyObject_GetAttrString((PyObject*)co, "replace"))) goto cleanup_code_too;
        if (!(empty = PyTuple_New(0))) goto cleanup_code_too; // unfortunately __pyx_empty_tuple isn't available here
        if (!(call_result = PyObject_Call(replace, empty, kwds))) goto cleanup_code_too;
        Py_XDECREF((PyObject*)co);
        co = (PyCodeObject*)call_result;
        call_result = NULL;
        if (0) {
            cleanup_code_too:
            Py_XDECREF((PyObject*)co);
            co = NULL;
        }
        end:
        Py_XDECREF(kwds);
        Py_XDECREF(argcount);
        Py_XDECREF(posonlyargcount);
        Py_XDECREF(kwonlyargcount);
        Py_XDECREF(nlocals);
        Py_XDECREF(stacksize);
        Py_XDECREF(replace);
        Py_XDECREF(call_result);
        Py_XDECREF(empty);
        if (type) {
            PyErr_Restore(type, value, traceback);
        }
        return co;
    }
#elif PY_VERSION_HEX >= 0x030800B2 && !CYTHON_COMPILING_IN_PYPY
  #define __Pyx_PyCode_New(a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
          PyCode_NewWithPosOnlyArgs(a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
#else
  #define __Pyx_PyCode_New(a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
          PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
#endif
#endif
#if PY_VERSION_HEX >= 0x030900A4 || defined(Py_IS_TYPE)
  #define __Pyx_IS_TYPE(ob, type) Py_IS_TYPE(ob, type)
#else
  #define __Pyx_IS_TYPE(ob, type) (((const PyObject*)ob)->ob_type == (type))
#endif
#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_Is)
  #define __Pyx_Py_Is(x, y)  Py_Is(x, y)
#else
  #define __Pyx_Py_Is(x, y) ((x) == (y))
#endif
#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_IsNone)
  #define __Pyx_Py_IsNone(ob) Py_IsNone(ob)
#else
  #define __Pyx_Py_IsNone(ob) __Pyx_Py_Is((ob), Py_None)
#endif
#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_IsTrue)
  #define __Pyx_Py_IsTrue(ob) Py_IsTrue(ob)
#else
  #define __Pyx_Py_IsTrue(ob) __Pyx_Py_Is((ob), Py_True)
#endif
#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_IsFalse)
  #define __Pyx_Py_IsFalse(ob) Py_IsFalse(ob)
#else
  #define __Pyx_Py_IsFalse(ob) __Pyx_Py_Is((ob), Py_False)
#endif
#define __Pyx_NoneAsNull(obj)  (__Pyx_Py_IsNone(obj) ? NULL : (obj))
#ifndef CO_COROUTINE
  #define CO_COROUTINE 0x80
#endif
#ifndef CO_ASYNC_GENERATOR
  #define CO_ASYNC_GENERATOR 0x200
#endif
#ifndef Py_TPFLAGS_CHECKTYPES
  #define Py_TPFLAGS_CHECKTYPES 0
#endif
#ifndef Py_TPFLAGS_HAVE_INDEX
  #define Py_TPFLAGS_HAVE_INDEX 0
#endif
#ifndef Py_TPFLAGS_HAVE_NEWBUFFER
  #define Py_TPFLAGS_HAVE_NEWBUFFER 0
#endif
#ifndef Py_TPFLAGS_HAVE_FINALIZE
  #define Py_TPFLAGS_HAVE_FINALIZE 0
#endif
#ifndef 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_METH_FASTCALL
  #define __Pyx_METH_FASTCALL METH_FASTCALL
  #define __Pyx_PyCFunction_FastCall __Pyx_PyCFunctionFast
  #define __Pyx_PyCFunction_FastCallWithKeywords __Pyx_PyCFunctionFastWithKeywords
#else
  #define __Pyx_METH_FASTCALL METH_VARARGS
  #define __Pyx_PyCFunction_FastCall PyCFunction
  #define __Pyx_PyCFunction_FastCallWithKeywords PyCFunctionWithKeywords
#endif
#if CYTHON_VECTORCALL
  #define __pyx_vectorcallfunc vectorcallfunc
  #define __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET  PY_VECTORCALL_ARGUMENTS_OFFSET
  #define __Pyx_PyVectorcall_NARGS(n)  PyVectorcall_NARGS((size_t)(n))
#elif CYTHON_BACKPORT_VECTORCALL
  typedef PyObject *(*__pyx_vectorcallfunc)(PyObject *callable, PyObject *const *args,
                                            size_t nargsf, PyObject *kwnames);
  #define __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET  ((size_t)1 << (8 * sizeof(size_t) - 1))
  #define __Pyx_PyVectorcall_NARGS(n)  ((Py_ssize_t)(((size_t)(n)) & ~__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET))
#else
  #define __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET  0
  #define __Pyx_PyVectorcall_NARGS(n)  ((Py_ssize_t)(n))
#endif
#if PY_VERSION_HEX < 0x030900B1
  #define __Pyx_PyType_FromModuleAndSpec(m, s, b)  ((void)m, PyType_FromSpecWithBases(s, b))
  typedef PyObject *(*__Pyx_PyCMethod)(PyObject *, PyTypeObject *, PyObject *const *, size_t, PyObject *);
#else
  #define __Pyx_PyType_FromModuleAndSpec(m, s, b)  PyType_FromModuleAndSpec(m, s, b)
  #define __Pyx_PyCMethod  PyCMethod
#endif
#ifndef METH_METHOD
  #define METH_METHOD 0x200
#endif
#if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Malloc)
  #define PyObject_Malloc(s)   PyMem_Malloc(s)
  #define PyObject_Free(p)     PyMem_Free(p)
  #define PyObject_Realloc(p)  PyMem_Realloc(p)
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno)
#else
  #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno)  (frame)->f_lineno = (lineno)
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx_PyThreadState_Current PyThreadState_Get()
#elif !CYTHON_FAST_THREAD_STATE
  #define __Pyx_PyThreadState_Current PyThreadState_GET()
#elif PY_VERSION_HEX >= 0x03060000
  #define __Pyx_PyThreadState_Current _PyThreadState_UncheckedGet()
#elif PY_VERSION_HEX >= 0x03000000
  #define __Pyx_PyThreadState_Current PyThreadState_GET()
#else
  #define __Pyx_PyThreadState_Current _PyThreadState_Current
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
static CYTHON_INLINE void *__Pyx_PyModule_GetState(PyObject *op)
{
    void *result;
    result = PyModule_GetState(op);
    if (!result)
        Py_FatalError("Couldn't find the module state");
    return result;
}
#endif
#define __Pyx_PyObject_GetSlot(obj, name, func_ctype)  __Pyx_PyType_GetSlot(Py_TYPE(obj), name, func_ctype)
#if CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx_PyType_GetSlot(type, name, func_ctype)  ((func_ctype) PyType_GetSlot((type), Py_##name))
#else
  #define __Pyx_PyType_GetSlot(type, name, func_ctype)  ((type)->name)
#endif
#if PY_VERSION_HEX < 0x030700A2 && !defined(PyThread_tss_create) && !defined(Py_tss_NEEDS_INIT)
#include "pythread.h"
#define Py_tss_NEEDS_INIT 0
typedef int Py_tss_t;
static CYTHON_INLINE int PyThread_tss_create(Py_tss_t *key) {
  *key = PyThread_create_key();
  return 0;
}
static CYTHON_INLINE Py_tss_t * PyThread_tss_alloc(void) {
  Py_tss_t *key = (Py_tss_t *)PyObject_Malloc(sizeof(Py_tss_t));
  *key = Py_tss_NEEDS_INIT;
  return key;
}
static CYTHON_INLINE void PyThread_tss_free(Py_tss_t *key) {
  PyObject_Free(key);
}
static CYTHON_INLINE int PyThread_tss_is_created(Py_tss_t *key) {
  return *key != Py_tss_NEEDS_INIT;
}
static CYTHON_INLINE void PyThread_tss_delete(Py_tss_t *key) {
  PyThread_delete_key(*key);
  *key = Py_tss_NEEDS_INIT;
}
static CYTHON_INLINE int PyThread_tss_set(Py_tss_t *key, void *value) {
  return PyThread_set_key_value(*key, value);
}
static CYTHON_INLINE void * PyThread_tss_get(Py_tss_t *key) {
  return PyThread_get_key_value(*key);
}
#endif
#if PY_MAJOR_VERSION < 3
    #if CYTHON_COMPILING_IN_PYPY
        #if PYPY_VERSION_NUM < 0x07030600
            #if defined(__cplusplus) && __cplusplus >= 201402L
                [[deprecated("`with nogil:` inside a nogil function will not release the GIL in PyPy2 < 7.3.6")]]
            #elif defined(__GNUC__) || defined(__clang__)
                __attribute__ ((__deprecated__("`with nogil:` inside a nogil function will not release the GIL in PyPy2 < 7.3.6")))
            #elif defined(_MSC_VER)
                __declspec(deprecated("`with nogil:` inside a nogil function will not release the GIL in PyPy2 < 7.3.6"))
            #endif
            static CYTHON_INLINE int PyGILState_Check(void) {
                return 0;
            }
        #else  // PYPY_VERSION_NUM < 0x07030600
        #endif  // PYPY_VERSION_NUM < 0x07030600
    #else
        static CYTHON_INLINE int PyGILState_Check(void) {
            PyThreadState * tstate = _PyThreadState_Current;
            return tstate && (tstate == PyGILState_GetThisThreadState());
        }
    #endif
#endif
#if CYTHON_COMPILING_IN_CPYTHON || defined(_PyDict_NewPresized)
#define __Pyx_PyDict_NewPresized(n)  ((n <= 8) ? PyDict_New() : _PyDict_NewPresized(n))
#else
#define __Pyx_PyDict_NewPresized(n)  PyDict_New()
#endif
#if PY_MAJOR_VERSION >= 3 || CYTHON_FUTURE_DIVISION
  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_TrueDivide(x,y)
  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceTrueDivide(x,y)
#else
  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_Divide(x,y)
  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceDivide(x,y)
#endif
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX > 0x030600B4 && CYTHON_USE_UNICODE_INTERNALS
#define __Pyx_PyDict_GetItemStrWithError(dict, name)  _PyDict_GetItem_KnownHash(dict, name, ((PyASCIIObject *) name)->hash)
static CYTHON_INLINE PyObject * __Pyx_PyDict_GetItemStr(PyObject *dict, PyObject *name) {
    PyObject *res = __Pyx_PyDict_GetItemStrWithError(dict, name);
    if (res == NULL) PyErr_Clear();
    return res;
}
#elif PY_MAJOR_VERSION >= 3 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07020000)
#define __Pyx_PyDict_GetItemStrWithError  PyDict_GetItemWithError
#define __Pyx_PyDict_GetItemStr           PyDict_GetItem
#else
static CYTHON_INLINE PyObject * __Pyx_PyDict_GetItemStrWithError(PyObject *dict, PyObject *name) {
#if CYTHON_COMPILING_IN_PYPY
    return PyDict_GetItem(dict, name);
#else
    PyDictEntry *ep;
    PyDictObject *mp = (PyDictObject*) dict;
    long hash = ((PyStringObject *) name)->ob_shash;
    assert(hash != -1);
    ep = (mp->ma_lookup)(mp, name, hash);
    if (ep == NULL) {
        return NULL;
    }
    return ep->me_value;
#endif
}
#define __Pyx_PyDict_GetItemStr           PyDict_GetItem
#endif
#if CYTHON_USE_TYPE_SLOTS
  #define __Pyx_PyType_GetFlags(tp)   (((PyTypeObject *)tp)->tp_flags)
  #define __Pyx_PyType_HasFeature(type, feature)  ((__Pyx_PyType_GetFlags(type) & (feature)) != 0)
  #define __Pyx_PyObject_GetIterNextFunc(obj)  (Py_TYPE(obj)->tp_iternext)
#else
  #define __Pyx_PyType_GetFlags(tp)   (PyType_GetFlags((PyTypeObject *)tp))
  #define __Pyx_PyType_HasFeature(type, feature)  PyType_HasFeature(type, feature)
  #define __Pyx_PyObject_GetIterNextFunc(obj)  PyIter_Next
#endif
#if CYTHON_USE_TYPE_SPECS && PY_VERSION_HEX >= 0x03080000
#define __Pyx_PyHeapTypeObject_GC_Del(obj)  {\
    PyTypeObject *type = Py_TYPE(obj);\
    assert(__Pyx_PyType_HasFeature(type, Py_TPFLAGS_HEAPTYPE));\
    PyObject_GC_Del(obj);\
    Py_DECREF(type);\
}
#else
#define __Pyx_PyHeapTypeObject_GC_Del(obj)  PyObject_GC_Del(obj)
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
  #define CYTHON_PEP393_ENABLED 1
  #define __Pyx_PyUnicode_READY(op)       (0)
  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GetLength(u)
  #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_ReadChar(u, i)
  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   ((void)u, 1114111)
  #define __Pyx_PyUnicode_KIND(u)         ((void)u, (0))
  #define __Pyx_PyUnicode_DATA(u)         ((void*)u)
  #define __Pyx_PyUnicode_READ(k, d, i)   ((void)k, PyUnicode_ReadChar((PyObject*)(d), i))
  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GetLength(u))
#elif PY_VERSION_HEX > 0x03030000 && defined(PyUnicode_KIND)
  #define CYTHON_PEP393_ENABLED 1
  #if PY_VERSION_HEX >= 0x030C0000
    #define __Pyx_PyUnicode_READY(op)       (0)
  #else
    #define __Pyx_PyUnicode_READY(op)       (likely(PyUnicode_IS_READY(op)) ?\
                                                0 : _PyUnicode_Ready((PyObject *)(op)))
  #endif
  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GET_LENGTH(u)
  #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_READ_CHAR(u, i)
  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   PyUnicode_MAX_CHAR_VALUE(u)
  #define __Pyx_PyUnicode_KIND(u)         ((int)PyUnicode_KIND(u))
  #define __Pyx_PyUnicode_DATA(u)         PyUnicode_DATA(u)
  #define __Pyx_PyUnicode_READ(k, d, i)   PyUnicode_READ(k, d, i)
  #define __Pyx_PyUnicode_WRITE(k, d, i, ch)  PyUnicode_WRITE(k, d, i, ch)
  #if PY_VERSION_HEX >= 0x030C0000
    #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GET_LENGTH(u))
  #else
    #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03090000
    #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : ((PyCompactUnicodeObject *)(u))->wstr_length))
    #else
    #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : PyUnicode_GET_SIZE(u)))
    #endif
  #endif
#else
  #define CYTHON_PEP393_ENABLED 0
  #define PyUnicode_1BYTE_KIND  1
  #define PyUnicode_2BYTE_KIND  2
  #define PyUnicode_4BYTE_KIND  4
  #define __Pyx_PyUnicode_READY(op)       (0)
  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GET_SIZE(u)
  #define __Pyx_PyUnicode_READ_CHAR(u, i) ((Py_UCS4)(PyUnicode_AS_UNICODE(u)[i]))
  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   ((sizeof(Py_UNICODE) == 2) ? 65535 : 1114111)
  #define __Pyx_PyUnicode_KIND(u)         ((int)sizeof(Py_UNICODE))
  #define __Pyx_PyUnicode_DATA(u)         ((void*)PyUnicode_AS_UNICODE(u))
  #define __Pyx_PyUnicode_READ(k, d, i)   ((void)(k), (Py_UCS4)(((Py_UNICODE*)d)[i]))
  #define __Pyx_PyUnicode_WRITE(k, d, i, ch)  (((void)(k)), ((Py_UNICODE*)d)[i] = ch)
  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GET_SIZE(u))
#endif
#if CYTHON_COMPILING_IN_PYPY
  #define __Pyx_PyUnicode_Concat(a, b)      PyNumber_Add(a, b)
  #define __Pyx_PyUnicode_ConcatSafe(a, b)  PyNumber_Add(a, b)
#else
  #define __Pyx_PyUnicode_Concat(a, b)      PyUnicode_Concat(a, b)
  #define __Pyx_PyUnicode_ConcatSafe(a, b)  ((unlikely((a) == Py_None) || unlikely((b) == Py_None)) ?\
      PyNumber_Add(a, b) : __Pyx_PyUnicode_Concat(a, b))
#endif
#if CYTHON_COMPILING_IN_PYPY
  #if !defined(PyUnicode_DecodeUnicodeEscape)
    #define PyUnicode_DecodeUnicodeEscape(s, size, errors)  PyUnicode_Decode(s, size, "unicode_escape", errors)
  #endif
  #if !defined(PyUnicode_Contains) || (PY_MAJOR_VERSION == 2 && PYPY_VERSION_NUM < 0x07030500)
    #undef PyUnicode_Contains
    #define PyUnicode_Contains(u, s)  PySequence_Contains(u, s)
  #endif
  #if !defined(PyByteArray_Check)
    #define PyByteArray_Check(obj)  PyObject_TypeCheck(obj, &PyByteArray_Type)
  #endif
  #if !defined(PyObject_Format)
    #define PyObject_Format(obj, fmt)  PyObject_CallMethod(obj, "__format__", "O", fmt)
  #endif
#endif
#define __Pyx_PyString_FormatSafe(a, b)   ((unlikely((a) == Py_None || (PyString_Check(b) && !PyString_CheckExact(b)))) ? PyNumber_Remainder(a, b) : __Pyx_PyString_Format(a, b))
#define __Pyx_PyUnicode_FormatSafe(a, b)  ((unlikely((a) == Py_None || (PyUnicode_Check(b) && !PyUnicode_CheckExact(b)))) ? PyNumber_Remainder(a, b) : PyUnicode_Format(a, b))
#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyString_Format(a, b)  PyUnicode_Format(a, b)
#else
  #define __Pyx_PyString_Format(a, b)  PyString_Format(a, b)
#endif
#if PY_MAJOR_VERSION < 3 && !defined(PyObject_ASCII)
  #define PyObject_ASCII(o)            PyObject_Repr(o)
#endif
#if PY_MAJOR_VERSION >= 3
  #define PyBaseString_Type            PyUnicode_Type
  #define PyStringObject               PyUnicodeObject
  #define PyString_Type                PyUnicode_Type
  #define PyString_Check               PyUnicode_Check
  #define PyString_CheckExact          PyUnicode_CheckExact
#ifndef PyObject_Unicode
  #define PyObject_Unicode             PyObject_Str
#endif
#endif
#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyBaseString_Check(obj) PyUnicode_Check(obj)
  #define __Pyx_PyBaseString_CheckExact(obj) PyUnicode_CheckExact(obj)
#else
  #define __Pyx_PyBaseString_Check(obj) (PyString_Check(obj) || PyUnicode_Check(obj))
  #define __Pyx_PyBaseString_CheckExact(obj) (PyString_CheckExact(obj) || PyUnicode_CheckExact(obj))
#endif
#if CYTHON_COMPILING_IN_CPYTHON
  #define __Pyx_PySequence_ListKeepNew(obj)\
    (likely(PyList_CheckExact(obj) && Py_REFCNT(obj) == 1) ? __Pyx_NewRef(obj) : PySequence_List(obj))
#else
  #define __Pyx_PySequence_ListKeepNew(obj)  PySequence_List(obj)
#endif
#ifndef PySet_CheckExact
  #define PySet_CheckExact(obj)        __Pyx_IS_TYPE(obj, &PySet_Type)
#endif
#if PY_VERSION_HEX >= 0x030900A4
  #define __Pyx_SET_REFCNT(obj, refcnt) Py_SET_REFCNT(obj, refcnt)
  #define __Pyx_SET_SIZE(obj, size) Py_SET_SIZE(obj, size)
#else
  #define __Pyx_SET_REFCNT(obj, refcnt) Py_REFCNT(obj) = (refcnt)
  #define __Pyx_SET_SIZE(obj, size) Py_SIZE(obj) = (size)
#endif
#if CYTHON_ASSUME_SAFE_MACROS
  #define __Pyx_PySequence_SIZE(seq)  Py_SIZE(seq)
#else
  #define __Pyx_PySequence_SIZE(seq)  PySequence_Size(seq)
#endif
#if PY_MAJOR_VERSION >= 3
  #define PyIntObject                  PyLongObject
  #define PyInt_Type                   PyLong_Type
  #define PyInt_Check(op)              PyLong_Check(op)
  #define PyInt_CheckExact(op)         PyLong_CheckExact(op)
  #define PyInt_FromString             PyLong_FromString
  #define PyInt_FromUnicode            PyLong_FromUnicode
  #define PyInt_FromLong               PyLong_FromLong
  #define PyInt_FromSize_t             PyLong_FromSize_t
  #define PyInt_FromSsize_t            PyLong_FromSsize_t
  #define PyInt_AsLong                 PyLong_AsLong
  #define PyInt_AS_LONG                PyLong_AS_LONG
  #define PyInt_AsSsize_t              PyLong_AsSsize_t
  #define PyInt_AsUnsignedLongMask     PyLong_AsUnsignedLongMask
  #define PyInt_AsUnsignedLongLongMask PyLong_AsUnsignedLongLongMask
  #define PyNumber_Int                 PyNumber_Long
#endif
#if PY_MAJOR_VERSION >= 3
  #define PyBoolObject                 PyLongObject
#endif
#if PY_MAJOR_VERSION >= 3 && CYTHON_COMPILING_IN_PYPY
  #ifndef PyUnicode_InternFromString
    #define PyUnicode_InternFromString(s) PyUnicode_FromString(s)
  #endif
#endif
#if PY_VERSION_HEX < 0x030200A4
  typedef long Py_hash_t;
  #define __Pyx_PyInt_FromHash_t PyInt_FromLong
  #define __Pyx_PyInt_AsHash_t   __Pyx_PyIndex_AsHash_t
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  #define __Pyx_PyInt_FromHash_t PyInt_FromSsize_t
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#define __Pyx_KwargsAsDict_VARARGS(kw, kwvalues) PyDict_Copy(kw)
#if CYTHON_METH_FASTCALL
    #define __Pyx_Arg_FASTCALL(args, i) args[i]
    #define __Pyx_NumKwargs_FASTCALL(kwds) PyTuple_GET_SIZE(kwds)
    #define __Pyx_KwValues_FASTCALL(args, nargs) ((args) + (nargs))
    static CYTHON_INLINE PyObject * __Pyx_GetKwValue_FASTCALL(PyObject *kwnames, PyObject *const *kwvalues, PyObject *s);
    #define __Pyx_KwargsAsDict_FASTCALL(kw, kwvalues) _PyStack_AsDict(kwvalues, kw)
#else
    #define __Pyx_Arg_FASTCALL __Pyx_Arg_VARARGS
    #define __Pyx_NumKwargs_FASTCALL __Pyx_NumKwargs_VARARGS
    #define __Pyx_KwValues_FASTCALL __Pyx_KwValues_VARARGS
    #define __Pyx_GetKwValue_FASTCALL __Pyx_GetKwValue_VARARGS
    #define __Pyx_KwargsAsDict_FASTCALL __Pyx_KwargsAsDict_VARARGS
#endif
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_ArgsSlice_VARARGS(args, start, stop) __Pyx_PyTuple_FromArray(&__Pyx_Arg_VARARGS(args, start), stop - start)
#define __Pyx_ArgsSlice_FASTCALL(args, start, stop) __Pyx_PyTuple_FromArray(&__Pyx_Arg_FASTCALL(args, start), stop - start)
#else
#define __Pyx_ArgsSlice_VARARGS(args, start, stop) PyTuple_GetSlice(args, start, stop)
#define __Pyx_ArgsSlice_FASTCALL(args, start, stop) PyTuple_GetSlice(args, start, stop)
#endif

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

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

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

/* Profile.proto */
#ifndef CYTHON_PROFILE
#if CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_PYPY
  #define CYTHON_PROFILE 0
#else
  #define CYTHON_PROFILE 1
#endif
#endif
#ifndef CYTHON_TRACE_NOGIL
  #define CYTHON_TRACE_NOGIL 0
#else
  #if CYTHON_TRACE_NOGIL && !defined(CYTHON_TRACE)
    #define CYTHON_TRACE 1
  #endif
#endif
#ifndef CYTHON_TRACE
  #define CYTHON_TRACE 0
#endif
#if CYTHON_TRACE
  #undef CYTHON_PROFILE_REUSE_FRAME
#endif
#ifndef CYTHON_PROFILE_REUSE_FRAME
  #define CYTHON_PROFILE_REUSE_FRAME 0
#endif
#if CYTHON_PROFILE || CYTHON_TRACE
  #include "compile.h"
  #include "frameobject.h"
  #include "traceback.h"
#if PY_VERSION_HEX >= 0x030b00a6
  #ifndef Py_BUILD_CORE
    #define Py_BUILD_CORE 1
  #endif
  #include "internal/pycore_frame.h"
#endif
  #if CYTHON_PROFILE_REUSE_FRAME
    #define CYTHON_FRAME_MODIFIER static
    #define CYTHON_FRAME_DEL(frame)
  #else
    #define CYTHON_FRAME_MODIFIER
    #define CYTHON_FRAME_DEL(frame) Py_CLEAR(frame)
  #endif
  #define __Pyx_TraceDeclarations\
      static PyCodeObject *__pyx_frame_code = NULL;\
      CYTHON_FRAME_MODIFIER PyFrameObject *__pyx_frame = NULL;\
      int __Pyx_use_tracing = 0;
  #define __Pyx_TraceFrameInit(codeobj)\
      if (codeobj) __pyx_frame_code = (PyCodeObject*) codeobj;
#if PY_VERSION_HEX >= 0x030b00a2
  #define __Pyx_IsTracing(tstate, check_tracing, check_funcs)\
     (unlikely((tstate)->cframe->use_tracing) &&\
         (!(check_tracing) || !(tstate)->tracing) &&\
         (!(check_funcs) || (tstate)->c_profilefunc || (CYTHON_TRACE && (tstate)->c_tracefunc)))
  #define __Pyx_EnterTracing(tstate) PyThreadState_EnterTracing(tstate)
  #define __Pyx_LeaveTracing(tstate) PyThreadState_LeaveTracing(tstate)
#elif PY_VERSION_HEX >= 0x030a00b1
  #define __Pyx_IsTracing(tstate, check_tracing, check_funcs)\
     (unlikely((tstate)->cframe->use_tracing) &&\
         (!(check_tracing) || !(tstate)->tracing) &&\
         (!(check_funcs) || (tstate)->c_profilefunc || (CYTHON_TRACE && (tstate)->c_tracefunc)))
  #define __Pyx_EnterTracing(tstate)\
      do { tstate->tracing++; tstate->cframe->use_tracing = 0; } while (0)
  #define __Pyx_LeaveTracing(tstate)\
      do {\
          tstate->tracing--;\
          tstate->cframe->use_tracing = ((CYTHON_TRACE && tstate->c_tracefunc != NULL)\
                                 || tstate->c_profilefunc != NULL);\
      } while (0)
#else
  #define __Pyx_IsTracing(tstate, check_tracing, check_funcs)\
     (unlikely((tstate)->use_tracing) &&\
         (!(check_tracing) || !(tstate)->tracing) &&\
         (!(check_funcs) || (tstate)->c_profilefunc || (CYTHON_TRACE && (tstate)->c_tracefunc)))
  #define __Pyx_EnterTracing(tstate)\
      do { tstate->tracing++; tstate->use_tracing = 0; } while (0)
  #define __Pyx_LeaveTracing(tstate)\
      do {\
          tstate->tracing--;\
          tstate->use_tracing = ((CYTHON_TRACE && tstate->c_tracefunc != NULL)\
                                         || tstate->c_profilefunc != NULL);\
      } while (0)
#endif
  #ifdef WITH_THREAD
  #define __Pyx_TraceCall(funcname, srcfile, firstlineno, nogil, goto_error)\
  if (nogil) {\
      if (CYTHON_TRACE_NOGIL) {\
          PyThreadState *tstate;\
          PyGILState_STATE state = PyGILState_Ensure();\
          tstate = __Pyx_PyThreadState_Current;\
          if (__Pyx_IsTracing(tstate, 1, 1)) {\
              __Pyx_use_tracing = __Pyx_TraceSetupAndCall(&__pyx_frame_code, &__pyx_frame, tstate, funcname, srcfile, firstlineno);\
          }\
          PyGILState_Release(state);\
          if (unlikely(__Pyx_use_tracing < 0)) goto_error;\
      }\
  } else {\
      PyThreadState* tstate = PyThreadState_GET();\
      if (__Pyx_IsTracing(tstate, 1, 1)) {\
          __Pyx_use_tracing = __Pyx_TraceSetupAndCall(&__pyx_frame_code, &__pyx_frame, tstate, funcname, srcfile, firstlineno);\
          if (unlikely(__Pyx_use_tracing < 0)) goto_error;\
      }\
  }
  #else
  #define __Pyx_TraceCall(funcname, srcfile, firstlineno, nogil, goto_error)\
  {   PyThreadState* tstate = PyThreadState_GET();\
      if (__Pyx_IsTracing(tstate, 1, 1)) {\
          __Pyx_use_tracing = __Pyx_TraceSetupAndCall(&__pyx_frame_code, &__pyx_frame, tstate, funcname, srcfile, firstlineno);\
          if (unlikely(__Pyx_use_tracing < 0)) goto_error;\
      }\
  }
  #endif
  #define __Pyx_TraceException()\
  if (likely(!__Pyx_use_tracing)); else {\
      PyThreadState* tstate = __Pyx_PyThreadState_Current;\
      if (__Pyx_IsTracing(tstate, 0, 1)) {\
          __Pyx_EnterTracing(tstate);\
          PyObject *exc_info = __Pyx_GetExceptionTuple(tstate);\
          if (exc_info) {\
              if (CYTHON_TRACE && tstate->c_tracefunc)\
                  tstate->c_tracefunc(\
                      tstate->c_traceobj, __pyx_frame, PyTrace_EXCEPTION, exc_info);\
              tstate->c_profilefunc(\
                  tstate->c_profileobj, __pyx_frame, PyTrace_EXCEPTION, exc_info);\
              Py_DECREF(exc_info);\
          }\
          __Pyx_LeaveTracing(tstate);\
      }\
  }
  static void __Pyx_call_return_trace_func(PyThreadState *tstate, PyFrameObject *frame, PyObject *result) {
      PyObject *type, *value, *traceback;
      __Pyx_ErrFetchInState(tstate, &type, &value, &traceback);
      __Pyx_EnterTracing(tstate);
      if (CYTHON_TRACE && tstate->c_tracefunc)
          tstate->c_tracefunc(tstate->c_traceobj, frame, PyTrace_RETURN, result);
      if (tstate->c_profilefunc)
          tstate->c_profilefunc(tstate->c_profileobj, frame, PyTrace_RETURN, result);
      CYTHON_FRAME_DEL(frame);
      __Pyx_LeaveTracing(tstate);
      __Pyx_ErrRestoreInState(tstate, type, value, traceback);
  }
  #ifdef WITH_THREAD
  #define __Pyx_TraceReturn(result, nogil)\
  if (likely(!__Pyx_use_tracing)); else {\
      if (nogil) {\
          if (CYTHON_TRACE_NOGIL) {\
              PyThreadState *tstate;\
              PyGILState_STATE state = PyGILState_Ensure();\
              tstate = __Pyx_PyThreadState_Current;\
              if (__Pyx_IsTracing(tstate, 0, 0)) {\
                  __Pyx_call_return_trace_func(tstate, __pyx_frame, (PyObject*)result);\
              }\
              PyGILState_Release(state);\
          }\
      } else {\
          PyThreadState* tstate = __Pyx_PyThreadState_Current;\
          if (__Pyx_IsTracing(tstate, 0, 0)) {\
              __Pyx_call_return_trace_func(tstate, __pyx_frame, (PyObject*)result);\
          }\
      }\
  }
  #else
  #define __Pyx_TraceReturn(result, nogil)\
  if (likely(!__Pyx_use_tracing)); else {\
      PyThreadState* tstate = __Pyx_PyThreadState_Current;\
      if (__Pyx_IsTracing(tstate, 0, 0)) {\
          __Pyx_call_return_trace_func(tstate, __pyx_frame, (PyObject*)result);\
      }\
  }
  #endif
  static PyCodeObject *__Pyx_createFrameCodeObject(const char *funcname, const char *srcfile, int firstlineno);
  static int __Pyx_TraceSetupAndCall(PyCodeObject** code, PyFrameObject** frame, PyThreadState* tstate, const char *funcname, const char *srcfile, int firstlineno);
#else
  #define __Pyx_TraceDeclarations
  #define __Pyx_TraceFrameInit(codeobj)
  #define __Pyx_TraceCall(funcname, srcfile, firstlineno, nogil, goto_error)   if ((1)); else goto_error;
  #define __Pyx_TraceException()
  #define __Pyx_TraceReturn(result, nogil)
#endif
#if CYTHON_TRACE
  static int __Pyx_call_line_trace_func(PyThreadState *tstate, PyFrameObject *frame, int lineno) {
      int ret;
      PyObject *type, *value, *traceback;
      __Pyx_ErrFetchInState(tstate, &type, &value, &traceback);
      __Pyx_PyFrame_SetLineNumber(frame, lineno);
      __Pyx_EnterTracing(tstate);
      ret = tstate->c_tracefunc(tstate->c_traceobj, frame, PyTrace_LINE, NULL);
      __Pyx_LeaveTracing(tstate);
      if (likely(!ret)) {
          __Pyx_ErrRestoreInState(tstate, type, value, traceback);
      } else {
          Py_XDECREF(type);
          Py_XDECREF(value);
          Py_XDECREF(traceback);
      }
      return ret;
  }
  #ifdef WITH_THREAD
  #define __Pyx_TraceLine(lineno, nogil, goto_error)\
  if (likely(!__Pyx_use_tracing)); else {\
      if (nogil) {\
          if (CYTHON_TRACE_NOGIL) {\
              int ret = 0;\
              PyThreadState *tstate;\
              PyGILState_STATE state = __Pyx_PyGILState_Ensure();\
              tstate = __Pyx_PyThreadState_Current;\
              if (__Pyx_IsTracing(tstate, 0, 0) && tstate->c_tracefunc && __pyx_frame->f_trace) {\
                  ret = __Pyx_call_line_trace_func(tstate, __pyx_frame, lineno);\
              }\
              __Pyx_PyGILState_Release(state);\
              if (unlikely(ret)) goto_error;\
          }\
      } else {\
          PyThreadState* tstate = __Pyx_PyThreadState_Current;\
          if (__Pyx_IsTracing(tstate, 0, 0) && tstate->c_tracefunc && __pyx_frame->f_trace) {\
              int ret = __Pyx_call_line_trace_func(tstate, __pyx_frame, lineno);\
              if (unlikely(ret)) goto_error;\
          }\
      }\
  }
  #else
  #define __Pyx_TraceLine(lineno, nogil, goto_error)\
  if (likely(!__Pyx_use_tracing)); else {\
      PyThreadState* tstate = __Pyx_PyThreadState_Current;\
      if (__Pyx_IsTracing(tstate, 0, 0) && tstate->c_tracefunc && __pyx_frame->f_trace) {\
          int ret = __Pyx_call_line_trace_func(tstate, __pyx_frame, lineno);\
          if (unlikely(ret)) goto_error;\
      }\
  }
  #endif
#else
  #define __Pyx_TraceLine(lineno, nogil, goto_error)   if ((1)); else goto_error;
#endif

/* 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

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

/* 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

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

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

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

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

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

/* PyObjectFormatSimple.proto */
#if CYTHON_COMPILING_IN_PYPY
    #define __Pyx_PyObject_FormatSimple(s, f) (\
        likely(PyUnicode_CheckExact(s)) ? (Py_INCREF(s), s) :\
        PyObject_Format(s, f))
#elif PY_MAJOR_VERSION < 3
    #define __Pyx_PyObject_FormatSimple(s, f) (\
        likely(PyUnicode_CheckExact(s)) ? (Py_INCREF(s), s) :\
        likely(PyString_CheckExact(s)) ? PyUnicode_FromEncodedObject(s, NULL, "strict") :\
        PyObject_Format(s, f))
#elif CYTHON_USE_TYPE_SLOTS
    #define __Pyx_PyObject_FormatSimple(s, f) (\
        likely(PyUnicode_CheckExact(s)) ? (Py_INCREF(s), s) :\
        likely(PyLong_CheckExact(s)) ? PyLong_Type.tp_repr(s) :\
        likely(PyFloat_CheckExact(s)) ? PyFloat_Type.tp_repr(s) :\
        PyObject_Format(s, f))
#else
    #define __Pyx_PyObject_FormatSimple(s, f) (\
        likely(PyUnicode_CheckExact(s)) ? (Py_INCREF(s), s) :\
        PyObject_Format(s, f))
#endif

/* JoinPyUnicode.proto */
static PyObject* __Pyx_PyUnicode_Join(PyObject* value_tuple, Py_ssize_t value_count, Py_ssize_t result_ulength,
                                      Py_UCS4 max_char);

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

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

/* 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

/* ExtTypeTest.proto */
static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type);

/* KeywordStringCheck.proto */
static int __Pyx_CheckKeywordStrings(PyObject *kw, const char* function_name, int kw_allowed);

/* ArgTypeTest.proto */
#define __Pyx_ArgTypeTest(obj, type, none_allowed, name, exact)\
    ((likely(__Pyx_IS_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);

/* py_abs.proto */
#if CYTHON_USE_PYLONG_INTERNALS
static PyObject *__Pyx_PyLong_AbsNeg(PyObject *num);
#define __Pyx_PyNumber_Absolute(x)\
    ((likely(PyLong_CheckExact(x))) ?\
         (likely(Py_SIZE(x) >= 0) ? (Py_INCREF(x), (x)) : __Pyx_PyLong_AbsNeg(x)) :\
         PyNumber_Absolute(x))
#else
#define __Pyx_PyNumber_Absolute(x)  PyNumber_Absolute(x)
#endif

/* PyIntFromDouble.proto */
#if PY_MAJOR_VERSION < 3
static CYTHON_INLINE PyObject* __Pyx_PyInt_FromDouble(double value);
#else
#define __Pyx_PyInt_FromDouble(value) PyLong_FromDouble(value)
#endif

/* PyIntBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_MultiplyObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyInt_MultiplyObjC(op1, op2, intval, inplace, zerodivision_check)\
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static PyObject *__Pyx_CyFunction_Init(__pyx_CyFunctionObject* op, PyMethodDef *ml,
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static CYTHON_INLINE void __Pyx__CyFunction_SetClassObj(__pyx_CyFunctionObject* f, PyObject* classobj);
static CYTHON_INLINE void *__Pyx_CyFunction_InitDefaults(PyObject *m,
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static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *m,
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static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *m,
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static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *m,
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static int __pyx_CyFunction_init(PyObject *module);
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static PyObject * __Pyx_CyFunction_Vectorcall_NOARGS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames);
static PyObject * __Pyx_CyFunction_Vectorcall_O(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames);
static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames);
static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS_METHOD(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames);
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static PyObject *__Pyx_CyFunction_New(PyMethodDef *ml,
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static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line);
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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);
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static void __Pyx_AddTraceback(const char *funcname, int c_line,
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/* GCCDiagnostics.proto */
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/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value);

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static const char __pyx_k_obj[] = "obj";
static const char __pyx_k_one[] = "one";
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static const char __pyx_k_sum[] = "sum";
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static const char __pyx_k_ceil[] = "ceil";
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static const char __pyx_k_down[] = "down";
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static const char __pyx_k_math[] = "math";
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static const char __pyx_k_zero[] = "zero";
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static const char __pyx_k_clamp[] = "clamp";
static const char __pyx_k_clone[] = "clone";
static const char __pyx_k_cross[] = "cross";
static const char __pyx_k_float[] = "float";
static const char __pyx_k_floor[] = "floor";
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static const char __pyx_k_new_2[] = "new";
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static const char __pyx_k_range[] = "range";
static const char __pyx_k_right[] = "right";
static const char __pyx_k_round[] = "round";
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static const char __pyx_k_infinity[] = "infinity";
static const char __pyx_k_item_one[] = "item_one";
static const char __pyx_k_pyx_type[] = "__pyx_type";
static const char __pyx_k_rotangle[] = "rotangle";
static const char __pyx_k_setstate[] = "__setstate__";
static const char __pyx_k_simplify[] = "simplify";
static const char __pyx_k_to_tuple[] = "to_tuple";
static const char __pyx_k_vector_c[] = "vector_c";
static const char __pyx_k_SideError[] = "SideError";
static const char __pyx_k_TypeError[] = "TypeError";
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static const char __pyx_k_float_int[] = "float | int";
static const char __pyx_k_isenabled[] = "isenabled";
static const char __pyx_k_item_zero[] = "item_zero";
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static const char __pyx_k_tuple_int[] = "tuple_int";
static const char __pyx_k_IndexError[] = "IndexError";
static const char __pyx_k_Vector_abs[] = "Vector.abs";
static const char __pyx_k_Vector_dot[] = "Vector.dot";
static const char __pyx_k_Vector_max[] = "Vector.max";
static const char __pyx_k_Vector_min[] = "Vector.min";
static const char __pyx_k_Vector_one[] = "Vector.one";
static const char __pyx_k_Vector_sum[] = "Vector.sum";
static const char __pyx_k_normalized[] = "normalized";
static const char __pyx_k_pyx_result[] = "__pyx_result";
static const char __pyx_k_PickleError[] = "PickleError";
static const char __pyx_k_Vector_None[] = "Vector | None";
static const char __pyx_k_Vector_ceil[] = "Vector.ceil";
static const char __pyx_k_Vector_down[] = "Vector.down";
static const char __pyx_k_Vector_left[] = "Vector.left";
static const char __pyx_k_Vector_lerp[] = "Vector.lerp";
static const char __pyx_k_Vector_poly[] = "Vector.poly";
static const char __pyx_k_Vector_rect[] = "Vector.rect";
static const char __pyx_k_Vector_zero[] = "Vector.zero";
static const char __pyx_k_from_radial[] = "from_radial";
static const char __pyx_k_list_Vector[] = "list[Vector]";
static const char __pyx_k_Vector_clamp[] = "Vector.clamp";
static const char __pyx_k_Vector_clone[] = "Vector.clone";
static const char __pyx_k_Vector_cross[] = "Vector.cross";
static const char __pyx_k_Vector_floor[] = "Vector.floor";
static const char __pyx_k_Vector_right[] = "Vector.right";
static const char __pyx_k_Vector_round[] = "Vector.round";
static const char __pyx_k_initializing[] = "_initializing";
static const char __pyx_k_is_coroutine[] = "_is_coroutine";
static const char __pyx_k_pyx_checksum[] = "__pyx_checksum";
static const char __pyx_k_staticmethod[] = "staticmethod";
static const char __pyx_k_stringsource[] = "<stringsource>";
static const char __pyx_k_use_setstate[] = "use_setstate";
static const char __pyx_k_Vector_create[] = "Vector.create";
static const char __pyx_k_Vector_dir_to[] = "Vector.dir_to";
static const char __pyx_k_Vector_rotate[] = "Vector.rotate";
static const char __pyx_k_Vector_within[] = "Vector.within";
static const char __pyx_k_angle_between[] = "angle_between";
static const char __pyx_k_max_magnitude[] = "max_magnitude";
static const char __pyx_k_min_magnitude[] = "min_magnitude";
static const char __pyx_k_perpendicular[] = "perpendicular";
static const char __pyx_k_reduce_cython[] = "__reduce_cython__";
static const char __pyx_k_simplify_sqrt[] = "simplify_sqrt";
static const char __pyx_k_tuple_int_int[] = "tuple[int, int]";
static const char __pyx_k_NotImplemented[] = "NotImplemented";
static const char __pyx_k_Vector_dist_to[] = "Vector.dist_to";
static const char __pyx_k_decimal_places[] = "decimal_places";
static const char __pyx_k_Vector_index_of[] = "Vector index of ";
static const char __pyx_k_Vector_infinity[] = "Vector.infinity";
static const char __pyx_k_Vector_to_tuple[] = "Vector.to_tuple";
static const char __pyx_k_clamp_magnitude[] = "clamp_magnitude";
static const char __pyx_k_pyx_PickleError[] = "__pyx_PickleError";
static const char __pyx_k_setstate_cython[] = "__setstate_cython__";
static const char __pyx_k_Vector_float_int[] = "Vector | float | int";
static const char __pyx_k_Vector_normalize[] = "Vector.normalize";
static const char __pyx_k_Vector_tuple_int[] = "Vector.tuple_int";
static const char __pyx_k_rand_unit_vector[] = "rand_unit_vector";
static const char __pyx_k_Vector_normalized[] = "Vector.normalized";
static const char __pyx_k_tuple_float_float[] = "tuple[float, float]";
static const char __pyx_k_Vector_from_radial[] = "Vector.from_radial";
static const char __pyx_k_asyncio_coroutines[] = "asyncio.coroutines";
static const char __pyx_k_cline_in_traceback[] = "cline_in_traceback";
static const char __pyx_k_pyx_unpickle_Vector[] = "__pyx_unpickle_Vector";
static const char __pyx_k_Vector_angle_between[] = "Vector.angle_between";
static const char __pyx_k_Vector_perpendicular[] = "Vector.perpendicular";
static const char __pyx_k_is_not_like_a_Vector[] = " is not like a Vector.";
static const char __pyx_k_Vector___reduce_cython[] = "Vector.__reduce_cython__";
static const char __pyx_k_Vector_clamp_magnitude[] = "Vector.clamp_magnitude";
static const char __pyx_k_Vector_rand_unit_vector[] = "Vector.rand_unit_vector";
static const char __pyx_k_rationalized_mag_vector[] = "rationalized_mag_vector";
static const char __pyx_k_Vector___setstate_cython[] = "Vector.__setstate_cython__";
static const char __pyx_k_Vector_tuple_float_float[] = "Vector | tuple[float, float]";
static const char __pyx_k_Vector_rationalized_mag___get[] = "Vector.rationalized_mag.__get__ (line 54)";
static const char __pyx_k_out_of_range_should_be_0_or_1[] = " out of range (should be 0 or 1)";
static const char __pyx_k_An_abstraction_for_a_container[] = "\nAn abstraction for a container of x and y values.\n";
static const char __pyx_k_Vector_rationalized_mag_vector[] = "Vector.rationalized_mag_vector.__get__ (line 70)";
static const char __pyx_k_Returns_a_string_representation[] = "\n        Returns a string representation of a rationalized vector magnitude as you would use in math class.\n\n        Example:\n            >>> Vector(8, 8).rationalized_mag\n            4\342\210\2328\n\n        Warnings:\n            Should only be used on vectors with integer components.\n        ";
static const char __pyx_k_Returns_a_vector_with_the_ratio[] = "\n        Returns a vector with the rationalized magnitude.\n\n        Example:\n            >>> Vector(8, 8).rationalized_mag\n            rubato.Vector(4, 8)\n\n        Warnings:\n            Should only be used on vectors with integer components.\n        ";
static const char __pyx_k_rubato_utils_computation_vector[] = "rubato\\utils\\computation\\vector.py";
static const char __pyx_k_Can_t_create_a_polygon_with_less[] = "Can't create a polygon with less than three sides.";
static const char __pyx_k_Incompatible_checksums_0x_x_vs_0[] = "Incompatible checksums (0x%x vs (0x887fcea, 0x73dec59, 0xc8d1ae9) = (x, y))";
static const char __pyx_k_rubato_utils_computation_vector_2[] = "rubato.utils.computation.vector";
#if !CYTHON_USE_MODULE_STATE
static PyObject *__pyx_n_s_;
static PyObject *__pyx_kp_u_;
static PyObject *__pyx_n_s_Any;
static PyObject *__pyx_kp_u_Can_t_create_a_polygon_with_less;
static PyObject *__pyx_n_s_INF;
static PyObject *__pyx_kp_s_Incompatible_checksums_0x_x_vs_0;
static PyObject *__pyx_n_s_IndexError;
static PyObject *__pyx_n_s_Iterator;
static PyObject *__pyx_n_s_Math;
static PyObject *__pyx_n_s_NotImplemented;
static PyObject *__pyx_n_s_PI_HALF;
static PyObject *__pyx_n_s_PickleError;
static PyObject *__pyx_kp_u_Returns_a_string_representation;
static PyObject *__pyx_kp_u_Returns_a_vector_with_the_ratio;
static PyObject *__pyx_n_s_SideError;
static PyObject *__pyx_n_s_TypeError;
static PyObject *__pyx_kp_u_Vector;
static PyObject *__pyx_n_s_Vector_2;
static PyObject *__pyx_kp_s_Vector_None;
static PyObject *__pyx_n_s_Vector___reduce_cython;
static PyObject *__pyx_n_s_Vector___setstate_cython;
static PyObject *__pyx_n_s_Vector_abs;
static PyObject *__pyx_n_s_Vector_angle_between;
static PyObject *__pyx_n_s_Vector_ceil;
static PyObject *__pyx_n_s_Vector_clamp;
static PyObject *__pyx_n_s_Vector_clamp_magnitude;
static PyObject *__pyx_n_s_Vector_clone;
static PyObject *__pyx_n_s_Vector_create;
static PyObject *__pyx_n_s_Vector_cross;
static PyObject *__pyx_n_s_Vector_dir_to;
static PyObject *__pyx_n_s_Vector_dist_to;
static PyObject *__pyx_n_s_Vector_dot;
static PyObject *__pyx_n_s_Vector_down;
static PyObject *__pyx_kp_s_Vector_float_int;
static PyObject *__pyx_n_s_Vector_floor;
static PyObject *__pyx_n_s_Vector_from_radial;
static PyObject *__pyx_kp_u_Vector_index_of;
static PyObject *__pyx_n_s_Vector_infinity;
static PyObject *__pyx_n_s_Vector_left;
static PyObject *__pyx_n_s_Vector_lerp;
static PyObject *__pyx_n_s_Vector_max;
static PyObject *__pyx_n_s_Vector_min;
static PyObject *__pyx_n_s_Vector_normalize;
static PyObject *__pyx_n_s_Vector_normalized;
static PyObject *__pyx_n_s_Vector_one;
static PyObject *__pyx_n_s_Vector_perpendicular;
static PyObject *__pyx_n_s_Vector_poly;
static PyObject *__pyx_n_s_Vector_rand_unit_vector;
static PyObject *__pyx_kp_u_Vector_rationalized_mag___get;
static PyObject *__pyx_kp_u_Vector_rationalized_mag_vector;
static PyObject *__pyx_n_s_Vector_rect;
static PyObject *__pyx_n_s_Vector_right;
static PyObject *__pyx_n_s_Vector_rotate;
static PyObject *__pyx_n_s_Vector_round;
static PyObject *__pyx_n_s_Vector_sum;
static PyObject *__pyx_n_s_Vector_to_tuple;
static PyObject *__pyx_kp_s_Vector_tuple_float_float;
static PyObject *__pyx_n_s_Vector_tuple_int;
static PyObject *__pyx_n_s_Vector_up;
static PyObject *__pyx_n_s_Vector_within;
static PyObject *__pyx_n_s_Vector_zero;
static PyObject *__pyx_kp_u__2;
static PyObject *__pyx_kp_u__3;
static PyObject *__pyx_kp_u__4;
static PyObject *__pyx_kp_u__48;
static PyObject *__pyx_kp_u__5;
static PyObject *__pyx_kp_u__54;
static PyObject *__pyx_n_s__55;
static PyObject *__pyx_kp_u__6;
static PyObject *__pyx_n_s__81;
static PyObject *__pyx_n_s_a;
static PyObject *__pyx_n_s_abs;
static PyObject *__pyx_n_s_absolute;
static PyObject *__pyx_n_s_acos;
static PyObject *__pyx_n_s_angle;
static PyObject *__pyx_n_s_angle_between;
static PyObject *__pyx_n_s_asyncio_coroutines;
static PyObject *__pyx_n_s_atan2;
static PyObject *__pyx_n_s_b;
static PyObject *__pyx_n_s_bool;
static PyObject *__pyx_n_s_c;
static PyObject *__pyx_n_s_ceil;
static PyObject *__pyx_n_s_clamp;
static PyObject *__pyx_n_s_clamp_magnitude;
static PyObject *__pyx_n_s_cline_in_traceback;
static PyObject *__pyx_n_s_clone;
static PyObject *__pyx_n_s_cls;
static PyObject *__pyx_n_s_cos;
static PyObject *__pyx_n_s_create;
static PyObject *__pyx_n_s_cross;
static PyObject *__pyx_n_s_decimal_places;
static PyObject *__pyx_n_s_degrees;
static PyObject *__pyx_n_s_dict;
static PyObject *__pyx_n_s_dict_2;
static PyObject *__pyx_n_s_dir_to;
static PyObject *__pyx_kp_u_disable;
static PyObject *__pyx_n_s_dist_to;
static PyObject *__pyx_n_s_distance;
static PyObject *__pyx_n_s_dot;
static PyObject *__pyx_n_s_down;
static PyObject *__pyx_kp_u_enable;
static PyObject *__pyx_n_s_float;
static PyObject *__pyx_kp_s_float_int;
static PyObject *__pyx_n_s_floor;
static PyObject *__pyx_n_s_from_radial;
static PyObject *__pyx_kp_u_gc;
static PyObject *__pyx_n_s_getstate;
static PyObject *__pyx_n_s_h;
static PyObject *__pyx_n_s_height;
static PyObject *__pyx_n_s_i;
static PyObject *__pyx_n_s_import;
static PyObject *__pyx_n_s_infinity;
static PyObject *__pyx_n_s_initializing;
static PyObject *__pyx_n_s_int;
static PyObject *__pyx_n_s_inv_mag;
static PyObject *__pyx_n_s_is_coroutine;
static PyObject *__pyx_kp_u_is_not_like_a_Vector;
static PyObject *__pyx_kp_u_isenabled;
static PyObject *__pyx_n_s_item_one;
static PyObject *__pyx_n_s_item_zero;
static PyObject *__pyx_n_s_left;
static PyObject *__pyx_n_s_lerp;
static PyObject *__pyx_kp_s_list_Vector;
static PyObject *__pyx_n_s_lower;
static PyObject *__pyx_n_s_mag;
static PyObject *__pyx_n_s_mag_sq;
static PyObject *__pyx_n_s_magnitude;
static PyObject *__pyx_n_s_main;
static PyObject *__pyx_n_s_math;
static PyObject *__pyx_n_s_max;
static PyObject *__pyx_n_s_max_magnitude;
static PyObject *__pyx_n_s_min;
static PyObject *__pyx_n_s_min_magnitude;
static PyObject *__pyx_n_s_name;
static PyObject *__pyx_n_s_new;
static PyObject *__pyx_n_s_new_2;
static PyObject *__pyx_n_s_normalize;
static PyObject *__pyx_n_s_normalized;
static PyObject *__pyx_n_s_num_sides;
static PyObject *__pyx_n_s_obj;
static PyObject *__pyx_n_s_one;
static PyObject *__pyx_n_s_other;
static PyObject *__pyx_n_s_out;
static PyObject *__pyx_kp_u_out_of_range_should_be_0_or_1;
static PyObject *__pyx_n_s_perpendicular;
static PyObject *__pyx_n_s_pickle;
static PyObject *__pyx_n_s_poly;
static PyObject *__pyx_n_s_pyx_PickleError;
static PyObject *__pyx_n_s_pyx_checksum;
static PyObject *__pyx_n_s_pyx_result;
static PyObject *__pyx_n_s_pyx_state;
static PyObject *__pyx_n_s_pyx_type;
static PyObject *__pyx_n_s_pyx_unpickle_Vector;
static PyObject *__pyx_n_s_radians;
static PyObject *__pyx_n_s_radius;
static PyObject *__pyx_n_s_rand_unit_vector;
static PyObject *__pyx_n_s_random;
static PyObject *__pyx_n_s_range;
static PyObject *__pyx_n_s_rationalized_mag_vector;
static PyObject *__pyx_n_s_rect;
static PyObject *__pyx_n_s_reduce;
static PyObject *__pyx_n_s_reduce_cython;
static PyObject *__pyx_n_s_reduce_ex;
static PyObject *__pyx_n_s_return;
static PyObject *__pyx_n_s_right;
static PyObject *__pyx_n_s_rotangle;
static PyObject *__pyx_n_s_rotate;
static PyObject *__pyx_n_s_round;
static PyObject *__pyx_kp_s_rubato_utils_computation_vector;
static PyObject *__pyx_n_s_rubato_utils_computation_vector_2;
static PyObject *__pyx_n_s_s;
static PyObject *__pyx_n_s_scalar;
static PyObject *__pyx_n_s_self;
static PyObject *__pyx_n_s_setstate;
static PyObject *__pyx_n_s_setstate_cython;
static PyObject *__pyx_n_s_simplify;
static PyObject *__pyx_n_s_simplify_sqrt;
static PyObject *__pyx_n_s_sin;
static PyObject *__pyx_n_s_spec;
static PyObject *__pyx_n_s_sqrt;
static PyObject *__pyx_n_s_state;
static PyObject *__pyx_n_s_staticmethod;
static PyObject *__pyx_kp_s_stringsource;
static PyObject *__pyx_n_s_sum;
static PyObject *__pyx_n_s_t;
static PyObject *__pyx_n_s_target;
static PyObject *__pyx_n_s_test;
static PyObject *__pyx_n_s_to_tuple;
static PyObject *__pyx_kp_s_tuple_float_float;
static PyObject *__pyx_n_s_tuple_int;
static PyObject *__pyx_kp_s_tuple_int_int;
static PyObject *__pyx_n_s_typing;
static PyObject *__pyx_n_s_up;
static PyObject *__pyx_n_s_update;
static PyObject *__pyx_n_s_upper;
static PyObject *__pyx_n_s_use_setstate;
static PyObject *__pyx_n_s_vector;
static PyObject *__pyx_n_s_vector_c;
static PyObject *__pyx_n_s_w;
static PyObject *__pyx_n_s_width;
static PyObject *__pyx_n_s_within;
static PyObject *__pyx_n_s_x;
static PyObject *__pyx_n_s_y;
static PyObject *__pyx_n_s_zero;
#endif
/* #### Code section: decls ### */
static int __pyx_pf_6rubato_5utils_11computation_6vector_6Vector___init__(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self, PyObject *__pyx_v_x, PyObject *__pyx_v_y); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_9magnitude___get__(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self); /* proto */
static int __pyx_pf_6rubato_5utils_11computation_6vector_6Vector_9magnitude_2__set__(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_6mag_sq___get__(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_5angle___get__(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_16rationalized_mag___get__(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_23rationalized_mag_vector___get__(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_17rationalized_unit___get__(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self); /* proto */
static struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_2normalized(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self, PyObject *__pyx_v_out); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_4normalize(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_6sum(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_8dot(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self, struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_other); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_10cross(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self, struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_other); /* proto */
static struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_12perpendicular(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self, PyObject *__pyx_v_scalar, PyObject *__pyx_v_out); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_14clamp(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self, PyObject *__pyx_v_lower, PyObject *__pyx_v_upper, PyObject *__pyx_v_absolute, PyObject *__pyx_v_out); /* proto */
static struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_16rotate(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self, PyObject *__pyx_v_angle, PyObject *__pyx_v_out); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_18to_tuple(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_20tuple_int(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self); /* proto */
static struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_22clone(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self); /* proto */
static struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_24lerp(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self, struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_target, PyObject *__pyx_v_t, PyObject *__pyx_v_out); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_26round(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self, PyObject *__pyx_v_decimal_places, PyObject *__pyx_v_out); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_28max(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_30min(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self); /* proto */
static struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_32ceil(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self, PyObject *__pyx_v_out); /* proto */
static struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_34floor(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self, PyObject *__pyx_v_out); /* proto */
static struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_36abs(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self, PyObject *__pyx_v_out); /* proto */
static struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_38dir_to(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self, PyObject *__pyx_v_other); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_40dist_to(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self, PyObject *__pyx_v_other); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_42within(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self, PyObject *__pyx_v_other, PyObject *__pyx_v_distance); /* proto */
static struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_44from_radial(PyObject *__pyx_v_magnitude, PyObject *__pyx_v_angle); /* proto */
static struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_46clamp_magnitude(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_vector, PyObject *__pyx_v_max_magnitude, PyObject *__pyx_v_min_magnitude); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_48angle_between(CYTHON_UNUSED PyTypeObject *__pyx_v_cls, struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_a, struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_b); /* proto */
static struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_50rand_unit_vector(PyTypeObject *__pyx_v_cls); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_52poly(CYTHON_UNUSED PyTypeObject *__pyx_v_cls, PyObject *__pyx_v_num_sides, PyObject *__pyx_v_radius); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_54rect(CYTHON_UNUSED PyTypeObject *__pyx_v_cls, PyObject *__pyx_v_width, PyObject *__pyx_v_height); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_56zero(void); /* proto */
static struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_58one(void); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_60up(void); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_62left(void); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_64down(void); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_66right(void); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_68infinity(void); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_70__eq__(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self, PyObject *__pyx_v_other); /* proto */
static Py_hash_t __pyx_pf_6rubato_5utils_11computation_6vector_6Vector_72__hash__(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_74__gt__(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self, PyObject *__pyx_v_other); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_76__lt__(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self, PyObject *__pyx_v_other); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_78__ge__(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self, PyObject *__pyx_v_other); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_80__le__(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self, PyObject *__pyx_v_other); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_82__pow__(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self, PyObject *__pyx_v_other, PyObject *__pyx_v_mod); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_84__ipow__(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self, PyObject *__pyx_v_other); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_86__mul__(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self, PyObject *__pyx_v_other); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_88__add__(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self, PyObject *__pyx_v_other); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_90__imul__(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self, PyObject *__pyx_v_other); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_92__iadd__(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self, PyObject *__pyx_v_other); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_94__rmul__(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self, PyObject *__pyx_v_other); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_96__radd__(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self, PyObject *__pyx_v_other); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_98__sub__(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self, PyObject *__pyx_v_other); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_100__rsub__(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self, PyObject *__pyx_v_other); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_102__isub__(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self, PyObject *__pyx_v_other); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_104__truediv__(PyObject *__pyx_v_self, PyObject *__pyx_v_other); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_106__rtruediv__(PyObject *__pyx_v_self, PyObject *__pyx_v_other); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_108__itruediv__(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self, PyObject *__pyx_v_other); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_110__floordiv__(PyObject *__pyx_v_self, PyObject *__pyx_v_other); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_112__rfloordiv__(PyObject *__pyx_v_self, PyObject *__pyx_v_other); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_114__ifloordiv__(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self, PyObject *__pyx_v_other); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_116__mod__(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self, PyObject *__pyx_v_other); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_118__rmod__(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self, PyObject *__pyx_v_other); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_120__imod__(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self, PyObject *__pyx_v_other); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_122__neg__(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_124__iter__(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_126__repr__(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_128__str__(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_130__getitem__(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self, PyObject *__pyx_v_index); /* proto */
static int __pyx_pf_6rubato_5utils_11computation_6vector_6Vector_132__setitem__(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self, PyObject *__pyx_v_index, PyObject *__pyx_v_value); /* proto */
static Py_ssize_t __pyx_pf_6rubato_5utils_11computation_6vector_6Vector_134__len__(CYTHON_UNUSED struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self); /* proto */
static struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_136create(PyObject *__pyx_v_obj); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_1x___get__(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self); /* proto */
static int __pyx_pf_6rubato_5utils_11computation_6vector_6Vector_1x_2__set__(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_1y___get__(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self); /* proto */
static int __pyx_pf_6rubato_5utils_11computation_6vector_6Vector_1y_2__set__(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_6rubato_5utils_11computation_6vector_6Vector_138__reduce_cython__(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector *__pyx_v_self); /* proto */
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#endif
/* #### Code section: module_state_defines ### */
#if CYTHON_USE_MODULE_STATE
#define __pyx_d __pyx_mstate_global->__pyx_d
#define __pyx_b __pyx_mstate_global->__pyx_b
#define __pyx_cython_runtime __pyx_mstate_global->__pyx_cython_runtime
#define __pyx_empty_tuple __pyx_mstate_global->__pyx_empty_tuple
#define __pyx_empty_bytes __pyx_mstate_global->__pyx_empty_bytes
#define __pyx_empty_unicode __pyx_mstate_global->__pyx_empty_unicode
#ifdef __Pyx_CyFunction_USED
#define __pyx_CyFunctionType __pyx_mstate_global->__pyx_CyFunctionType
#endif
#ifdef __Pyx_FusedFunction_USED
#define __pyx_FusedFunctionType __pyx_mstate_global->__pyx_FusedFunctionType
#endif
#define __pyx_ptype_6rubato_5utils_11computation_6vector_Vector __pyx_mstate_global->__pyx_ptype_6rubato_5utils_11computation_6vector_Vector
#define __pyx_type_6rubato_5utils_11computation_6vector_Vector __pyx_mstate_global->__pyx_type_6rubato_5utils_11computation_6vector_Vector
#define __pyx_n_s_ __pyx_mstate_global->__pyx_n_s_
#define __pyx_kp_u_ __pyx_mstate_global->__pyx_kp_u_
#define __pyx_n_s_Any __pyx_mstate_global->__pyx_n_s_Any
#define __pyx_kp_u_Can_t_create_a_polygon_with_less __pyx_mstate_global->__pyx_kp_u_Can_t_create_a_polygon_with_less
#define __pyx_n_s_INF __pyx_mstate_global->__pyx_n_s_INF
#define __pyx_kp_s_Incompatible_checksums_0x_x_vs_0 __pyx_mstate_global->__pyx_kp_s_Incompatible_checksums_0x_x_vs_0
#define __pyx_n_s_IndexError __pyx_mstate_global->__pyx_n_s_IndexError
#define __pyx_n_s_Iterator __pyx_mstate_global->__pyx_n_s_Iterator
#define __pyx_n_s_Math __pyx_mstate_global->__pyx_n_s_Math
#define __pyx_n_s_NotImplemented __pyx_mstate_global->__pyx_n_s_NotImplemented
#define __pyx_n_s_PI_HALF __pyx_mstate_global->__pyx_n_s_PI_HALF
#define __pyx_n_s_PickleError __pyx_mstate_global->__pyx_n_s_PickleError
#define __pyx_kp_u_Returns_a_string_representation __pyx_mstate_global->__pyx_kp_u_Returns_a_string_representation
#define __pyx_kp_u_Returns_a_vector_with_the_ratio __pyx_mstate_global->__pyx_kp_u_Returns_a_vector_with_the_ratio
#define __pyx_n_s_SideError __pyx_mstate_global->__pyx_n_s_SideError
#define __pyx_n_s_TypeError __pyx_mstate_global->__pyx_n_s_TypeError
#define __pyx_kp_u_Vector __pyx_mstate_global->__pyx_kp_u_Vector
#define __pyx_n_s_Vector_2 __pyx_mstate_global->__pyx_n_s_Vector_2
#define __pyx_kp_s_Vector_None __pyx_mstate_global->__pyx_kp_s_Vector_None
#define __pyx_n_s_Vector___reduce_cython __pyx_mstate_global->__pyx_n_s_Vector___reduce_cython
#define __pyx_n_s_Vector___setstate_cython __pyx_mstate_global->__pyx_n_s_Vector___setstate_cython
#define __pyx_n_s_Vector_abs __pyx_mstate_global->__pyx_n_s_Vector_abs
#define __pyx_n_s_Vector_angle_between __pyx_mstate_global->__pyx_n_s_Vector_angle_between
#define __pyx_n_s_Vector_ceil __pyx_mstate_global->__pyx_n_s_Vector_ceil
#define __pyx_n_s_Vector_clamp __pyx_mstate_global->__pyx_n_s_Vector_clamp
#define __pyx_n_s_Vector_clamp_magnitude __pyx_mstate_global->__pyx_n_s_Vector_clamp_magnitude
#define __pyx_n_s_Vector_clone __pyx_mstate_global->__pyx_n_s_Vector_clone
#define __pyx_n_s_Vector_create __pyx_mstate_global->__pyx_n_s_Vector_create
#define __pyx_n_s_Vector_cross __pyx_mstate_global->__pyx_n_s_Vector_cross
#define __pyx_n_s_Vector_dir_to __pyx_mstate_global->__pyx_n_s_Vector_dir_to
#define __pyx_n_s_Vector_dist_to __pyx_mstate_global->__pyx_n_s_Vector_dist_to
#define __pyx_n_s_Vector_dot __pyx_mstate_global->__pyx_n_s_Vector_dot
#define __pyx_n_s_Vector_down __pyx_mstate_global->__pyx_n_s_Vector_down
#define __pyx_kp_s_Vector_float_int __pyx_mstate_global->__pyx_kp_s_Vector_float_int
#define __pyx_n_s_Vector_floor __pyx_mstate_global->__pyx_n_s_Vector_floor
#define __pyx_n_s_Vector_from_radial __pyx_mstate_global->__pyx_n_s_Vector_from_radial
#define __pyx_kp_u_Vector_index_of __pyx_mstate_global->__pyx_kp_u_Vector_index_of
#define __pyx_n_s_Vector_infinity __pyx_mstate_global->__pyx_n_s_Vector_infinity
#define __pyx_n_s_Vector_left __pyx_mstate_global->__pyx_n_s_Vector_left
#define __pyx_n_s_Vector_lerp __pyx_mstate_global->__pyx_n_s_Vector_lerp
#define __pyx_n_s_Vector_max __pyx_mstate_global->__pyx_n_s_Vector_max
#define __pyx_n_s_Vector_min __pyx_mstate_global->__pyx_n_s_Vector_min
#define __pyx_n_s_Vector_normalize __pyx_mstate_global->__pyx_n_s_Vector_normalize
#define __pyx_n_s_Vector_normalized __pyx_mstate_global->__pyx_n_s_Vector_normalized
#define __pyx_n_s_Vector_one __pyx_mstate_global->__pyx_n_s_Vector_one
#define __pyx_n_s_Vector_perpendicular __pyx_mstate_global->__pyx_n_s_Vector_perpendicular
#define __pyx_n_s_Vector_poly __pyx_mstate_global->__pyx_n_s_Vector_poly
#define __pyx_n_s_Vector_rand_unit_vector __pyx_mstate_global->__pyx_n_s_Vector_rand_unit_vector
#define __pyx_kp_u_Vector_rationalized_mag___get __pyx_mstate_global->__pyx_kp_u_Vector_rationalized_mag___get
#define __pyx_kp_u_Vector_rationalized_mag_vector __pyx_mstate_global->__pyx_kp_u_Vector_rationalized_mag_vector
#define __pyx_n_s_Vector_rect __pyx_mstate_global->__pyx_n_s_Vector_rect
#define __pyx_n_s_Vector_right __pyx_mstate_global->__pyx_n_s_Vector_right
#define __pyx_n_s_Vector_rotate __pyx_mstate_global->__pyx_n_s_Vector_rotate
#define __pyx_n_s_Vector_round __pyx_mstate_global->__pyx_n_s_Vector_round
#define __pyx_n_s_Vector_sum __pyx_mstate_global->__pyx_n_s_Vector_sum
#define __pyx_n_s_Vector_to_tuple __pyx_mstate_global->__pyx_n_s_Vector_to_tuple
#define __pyx_kp_s_Vector_tuple_float_float __pyx_mstate_global->__pyx_kp_s_Vector_tuple_float_float
#define __pyx_n_s_Vector_tuple_int __pyx_mstate_global->__pyx_n_s_Vector_tuple_int
#define __pyx_n_s_Vector_up __pyx_mstate_global->__pyx_n_s_Vector_up
#define __pyx_n_s_Vector_within __pyx_mstate_global->__pyx_n_s_Vector_within
#define __pyx_n_s_Vector_zero __pyx_mstate_global->__pyx_n_s_Vector_zero
#define __pyx_kp_u__2 __pyx_mstate_global->__pyx_kp_u__2
#define __pyx_kp_u__3 __pyx_mstate_global->__pyx_kp_u__3
#define __pyx_kp_u__4 __pyx_mstate_global->__pyx_kp_u__4
#define __pyx_kp_u__48 __pyx_mstate_global->__pyx_kp_u__48
#define __pyx_kp_u__5 __pyx_mstate_global->__pyx_kp_u__5
#define __pyx_kp_u__54 __pyx_mstate_global->__pyx_kp_u__54
#define __pyx_n_s__55 __pyx_mstate_global->__pyx_n_s__55
#define __pyx_kp_u__6 __pyx_mstate_global->__pyx_kp_u__6
#define __pyx_n_s__81 __pyx_mstate_global->__pyx_n_s__81
#define __pyx_n_s_a __pyx_mstate_global->__pyx_n_s_a
#define __pyx_n_s_abs __pyx_mstate_global->__pyx_n_s_abs
#define __pyx_n_s_absolute __pyx_mstate_global->__pyx_n_s_absolute
#define __pyx_n_s_acos __pyx_mstate_global->__pyx_n_s_acos
#define __pyx_n_s_angle __pyx_mstate_global->__pyx_n_s_angle
#define __pyx_n_s_angle_between __pyx_mstate_global->__pyx_n_s_angle_between
#define __pyx_n_s_asyncio_coroutines __pyx_mstate_global->__pyx_n_s_asyncio_coroutines
#define __pyx_n_s_atan2 __pyx_mstate_global->__pyx_n_s_atan2
#define __pyx_n_s_b __pyx_mstate_global->__pyx_n_s_b
#define __pyx_n_s_bool __pyx_mstate_global->__pyx_n_s_bool
#define __pyx_n_s_c __pyx_mstate_global->__pyx_n_s_c
#define __pyx_n_s_ceil __pyx_mstate_global->__pyx_n_s_ceil
#define __pyx_n_s_clamp __pyx_mstate_global->__pyx_n_s_clamp
#define __pyx_n_s_clamp_magnitude __pyx_mstate_global->__pyx_n_s_clamp_magnitude
#define __pyx_n_s_cline_in_traceback __pyx_mstate_global->__pyx_n_s_cline_in_traceback
#define __pyx_n_s_clone __pyx_mstate_global->__pyx_n_s_clone
#define __pyx_n_s_cls __pyx_mstate_global->__pyx_n_s_cls
#define __pyx_n_s_cos __pyx_mstate_global->__pyx_n_s_cos
#define __pyx_n_s_create __pyx_mstate_global->__pyx_n_s_create
#define __pyx_n_s_cross __pyx_mstate_global->__pyx_n_s_cross
#define __pyx_n_s_decimal_places __pyx_mstate_global->__pyx_n_s_decimal_places
#define __pyx_n_s_degrees __pyx_mstate_global->__pyx_n_s_degrees
#define __pyx_n_s_dict __pyx_mstate_global->__pyx_n_s_dict
#define __pyx_n_s_dict_2 __pyx_mstate_global->__pyx_n_s_dict_2
#define __pyx_n_s_dir_to __pyx_mstate_global->__pyx_n_s_dir_to
#define __pyx_kp_u_disable __pyx_mstate_global->__pyx_kp_u_disable
#define __pyx_n_s_dist_to __pyx_mstate_global->__pyx_n_s_dist_to
#define __pyx_n_s_distance __pyx_mstate_global->__pyx_n_s_distance
#define __pyx_n_s_dot __pyx_mstate_global->__pyx_n_s_dot
#define __pyx_n_s_down __pyx_mstate_global->__pyx_n_s_down
#define __pyx_kp_u_enable __pyx_mstate_global->__pyx_kp_u_enable
#define __pyx_n_s_float __pyx_mstate_global->__pyx_n_s_float
#define __pyx_kp_s_float_int __pyx_mstate_global->__pyx_kp_s_float_int
#define __pyx_n_s_floor __pyx_mstate_global->__pyx_n_s_floor
#define __pyx_n_s_from_radial __pyx_mstate_global->__pyx_n_s_from_radial
#define __pyx_kp_u_gc __pyx_mstate_global->__pyx_kp_u_gc
#define __pyx_n_s_getstate __pyx_mstate_global->__pyx_n_s_getstate
#define __pyx_n_s_h __pyx_mstate_global->__pyx_n_s_h
#define __pyx_n_s_height __pyx_mstate_global->__pyx_n_s_height
#define __pyx_n_s_i __pyx_mstate_global->__pyx_n_s_i
#define __pyx_n_s_import __pyx_mstate_global->__pyx_n_s_import
#define __pyx_n_s_infinity __pyx_mstate_global->__pyx_n_s_infinity
#define __pyx_n_s_initializing __pyx_mstate_global->__pyx_n_s_initializing
#define __pyx_n_s_int __pyx_mstate_global->__pyx_n_s_int
#define __pyx_n_s_inv_mag __pyx_mstate_global->__pyx_n_s_inv_mag
#define __pyx_n_s_is_coroutine __pyx_mstate_global->__pyx_n_s_is_coroutine
#define __pyx_kp_u_is_not_like_a_Vector __pyx_mstate_global->__pyx_kp_u_is_not_like_a_Vector
#define __pyx_kp_u_isenabled __pyx_mstate_global->__pyx_kp_u_isenabled
#define __pyx_n_s_item_one __pyx_mstate_global->__pyx_n_s_item_one
#define __pyx_n_s_item_zero __pyx_mstate_global->__pyx_n_s_item_zero
#define __pyx_n_s_left __pyx_mstate_global->__pyx_n_s_left
#define __pyx_n_s_lerp __pyx_mstate_global->__pyx_n_s_lerp
#define __pyx_kp_s_list_Vector __pyx_mstate_global->__pyx_kp_s_list_Vector
#define __pyx_n_s_lower __pyx_mstate_global->__pyx_n_s_lower
#define __pyx_n_s_mag __pyx_mstate_global->__pyx_n_s_mag
#define __pyx_n_s_mag_sq __pyx_mstate_global->__pyx_n_s_mag_sq
#define __pyx_n_s_magnitude __pyx_mstate_global->__pyx_n_s_magnitude
#define __pyx_n_s_main __pyx_mstate_global->__pyx_n_s_main
#define __pyx_n_s_math __pyx_mstate_global->__pyx_n_s_math
#define __pyx_n_s_max __pyx_mstate_global->__pyx_n_s_max
#define __pyx_n_s_max_magnitude __pyx_mstate_global->__pyx_n_s_max_magnitude
#define __pyx_n_s_min __pyx_mstate_global->__pyx_n_s_min
#define __pyx_n_s_min_magnitude __pyx_mstate_global->__pyx_n_s_min_magnitude
#define __pyx_n_s_name __pyx_mstate_global->__pyx_n_s_name
#define __pyx_n_s_new __pyx_mstate_global->__pyx_n_s_new
#define __pyx_n_s_new_2 __pyx_mstate_global->__pyx_n_s_new_2
#define __pyx_n_s_normalize __pyx_mstate_global->__pyx_n_s_normalize
#define __pyx_n_s_normalized __pyx_mstate_global->__pyx_n_s_normalized
#define __pyx_n_s_num_sides __pyx_mstate_global->__pyx_n_s_num_sides
#define __pyx_n_s_obj __pyx_mstate_global->__pyx_n_s_obj
#define __pyx_n_s_one __pyx_mstate_global->__pyx_n_s_one
#define __pyx_n_s_other __pyx_mstate_global->__pyx_n_s_other
#define __pyx_n_s_out __pyx_mstate_global->__pyx_n_s_out
#define __pyx_kp_u_out_of_range_should_be_0_or_1 __pyx_mstate_global->__pyx_kp_u_out_of_range_should_be_0_or_1
#define __pyx_n_s_perpendicular __pyx_mstate_global->__pyx_n_s_perpendicular
#define __pyx_n_s_pickle __pyx_mstate_global->__pyx_n_s_pickle
#define __pyx_n_s_poly __pyx_mstate_global->__pyx_n_s_poly
#define __pyx_n_s_pyx_PickleError __pyx_mstate_global->__pyx_n_s_pyx_PickleError
#define __pyx_n_s_pyx_checksum __pyx_mstate_global->__pyx_n_s_pyx_checksum
#define __pyx_n_s_pyx_result __pyx_mstate_global->__pyx_n_s_pyx_result
#define __pyx_n_s_pyx_state __pyx_mstate_global->__pyx_n_s_pyx_state
#define __pyx_n_s_pyx_type __pyx_mstate_global->__pyx_n_s_pyx_type
#define __pyx_n_s_pyx_unpickle_Vector __pyx_mstate_global->__pyx_n_s_pyx_unpickle_Vector
#define __pyx_n_s_radians __pyx_mstate_global->__pyx_n_s_radians
#define __pyx_n_s_radius __pyx_mstate_global->__pyx_n_s_radius
#define __pyx_n_s_rand_unit_vector __pyx_mstate_global->__pyx_n_s_rand_unit_vector
#define __pyx_n_s_random __pyx_mstate_global->__pyx_n_s_random
#define __pyx_n_s_range __pyx_mstate_global->__pyx_n_s_range
#define __pyx_n_s_rationalized_mag_vector __pyx_mstate_global->__pyx_n_s_rationalized_mag_vector
#define __pyx_n_s_rect __pyx_mstate_global->__pyx_n_s_rect
#define __pyx_n_s_reduce __pyx_mstate_global->__pyx_n_s_reduce
#define __pyx_n_s_reduce_cython __pyx_mstate_global->__pyx_n_s_reduce_cython
#define __pyx_n_s_reduce_ex __pyx_mstate_global->__pyx_n_s_reduce_ex
#define __pyx_n_s_return __pyx_mstate_global->__pyx_n_s_return
#define __pyx_n_s_right __pyx_mstate_global->__pyx_n_s_right
#define __pyx_n_s_rotangle __pyx_mstate_global->__pyx_n_s_rotangle
#define __pyx_n_s_rotate __pyx_mstate_global->__pyx_n_s_rotate
#define __pyx_n_s_round __pyx_mstate_global->__pyx_n_s_round
#define __pyx_kp_s_rubato_utils_computation_vector __pyx_mstate_global->__pyx_kp_s_rubato_utils_computation_vector
#define __pyx_n_s_rubato_utils_computation_vector_2 __pyx_mstate_global->__pyx_n_s_rubato_utils_computation_vector_2
#define __pyx_n_s_s __pyx_mstate_global->__pyx_n_s_s
#define __pyx_n_s_scalar __pyx_mstate_global->__pyx_n_s_scalar
#define __pyx_n_s_self __pyx_mstate_global->__pyx_n_s_self
#define __pyx_n_s_setstate __pyx_mstate_global->__pyx_n_s_setstate
#define __pyx_n_s_setstate_cython __pyx_mstate_global->__pyx_n_s_setstate_cython
#define __pyx_n_s_simplify __pyx_mstate_global->__pyx_n_s_simplify
#define __pyx_n_s_simplify_sqrt __pyx_mstate_global->__pyx_n_s_simplify_sqrt
#define __pyx_n_s_sin __pyx_mstate_global->__pyx_n_s_sin
#define __pyx_n_s_spec __pyx_mstate_global->__pyx_n_s_spec
#define __pyx_n_s_sqrt __pyx_mstate_global->__pyx_n_s_sqrt
#define __pyx_n_s_state __pyx_mstate_global->__pyx_n_s_state
#define __pyx_n_s_staticmethod __pyx_mstate_global->__pyx_n_s_staticmethod
#define __pyx_kp_s_stringsource __pyx_mstate_global->__pyx_kp_s_stringsource
#define __pyx_n_s_sum __pyx_mstate_global->__pyx_n_s_sum
#define __pyx_n_s_t __pyx_mstate_global->__pyx_n_s_t
#define __pyx_n_s_target __pyx_mstate_global->__pyx_n_s_target
#define __pyx_n_s_test __pyx_mstate_global->__pyx_n_s_test
#define __pyx_n_s_to_tuple __pyx_mstate_global->__pyx_n_s_to_tuple
#define __pyx_kp_s_tuple_float_float __pyx_mstate_global->__pyx_kp_s_tuple_float_float
#define __pyx_n_s_tuple_int __pyx_mstate_global->__pyx_n_s_tuple_int
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static CYTHON_INLINE PyObject *__pyx_nb_subtract_6rubato_5utils_11computation_6vector_Vector_maybe_call_slot(PyTypeObject* type, PyObject *left, PyObject *right ) {
    binaryfunc slot;
#if CYTHON_USE_TYPE_SLOTS || PY_MAJOR_VERSION < 3 || CYTHON_COMPILING_IN_PYPY
    slot = type->tp_as_number ? type->tp_as_number->nb_subtract : NULL;
#else
    slot = (binaryfunc) PyType_GetSlot(type, Py_nb_subtract);
#endif
    return slot ? slot(left, right ) : __Pyx_NewRef(Py_NotImplemented);
}
static PyObject *__pyx_nb_subtract_6rubato_5utils_11computation_6vector_Vector(PyObject *left, PyObject *right ) {
    int maybe_self_is_left, maybe_self_is_right = 0;
    maybe_self_is_left = Py_TYPE(left) == Py_TYPE(right)
#if CYTHON_USE_TYPE_SLOTS
            || (Py_TYPE(left)->tp_as_number && Py_TYPE(left)->tp_as_number->nb_subtract == &__pyx_nb_subtract_6rubato_5utils_11computation_6vector_Vector)
#endif
            || __Pyx_TypeCheck(left, __pyx_ptype_6rubato_5utils_11computation_6vector_Vector);
    if (!(1)) {
        maybe_self_is_right = Py_TYPE(left) == Py_TYPE(right)
#if CYTHON_USE_TYPE_SLOTS
                || (Py_TYPE(right)->tp_as_number && Py_TYPE(right)->tp_as_number->nb_subtract == &__pyx_nb_subtract_6rubato_5utils_11computation_6vector_Vector)
#endif
                || __Pyx_TypeCheck(right, __pyx_ptype_6rubato_5utils_11computation_6vector_Vector);
    }
    if (maybe_self_is_left) {
        PyObject *res;
        if (maybe_self_is_right && 1 && !(1)) {
            res = __pyx_pw_6rubato_5utils_11computation_6vector_6Vector_101__rsub__(right, left);
            if (res != Py_NotImplemented) return res;
            Py_DECREF(res);
            maybe_self_is_right = 0;
        }
        res = __pyx_pw_6rubato_5utils_11computation_6vector_6Vector_99__sub__(left, right);
        if (res != Py_NotImplemented) return res;
        Py_DECREF(res);
    }
    if ((1)) {
        maybe_self_is_right = Py_TYPE(left) == Py_TYPE(right)
#if CYTHON_USE_TYPE_SLOTS
                || (Py_TYPE(right)->tp_as_number && Py_TYPE(right)->tp_as_number->nb_subtract == &__pyx_nb_subtract_6rubato_5utils_11computation_6vector_Vector)
#endif
                || PyType_IsSubtype(Py_TYPE(right), __pyx_ptype_6rubato_5utils_11computation_6vector_Vector);
    }
    if (maybe_self_is_right) {
        return __pyx_pw_6rubato_5utils_11computation_6vector_6Vector_101__rsub__(right, left);
    }
    return __Pyx_NewRef(Py_NotImplemented);
}



static CYTHON_INLINE PyObject *__pyx_nb_multiply_6rubato_5utils_11computation_6vector_Vector_maybe_call_slot(PyTypeObject* type, PyObject *left, PyObject *right ) {
    binaryfunc slot;
#if CYTHON_USE_TYPE_SLOTS || PY_MAJOR_VERSION < 3 || CYTHON_COMPILING_IN_PYPY
    slot = type->tp_as_number ? type->tp_as_number->nb_multiply : NULL;
#else
    slot = (binaryfunc) PyType_GetSlot(type, Py_nb_multiply);
#endif
    return slot ? slot(left, right ) : __Pyx_NewRef(Py_NotImplemented);
}
static PyObject *__pyx_nb_multiply_6rubato_5utils_11computation_6vector_Vector(PyObject *left, PyObject *right ) {
    int maybe_self_is_left, maybe_self_is_right = 0;
    maybe_self_is_left = Py_TYPE(left) == Py_TYPE(right)
#if CYTHON_USE_TYPE_SLOTS
            || (Py_TYPE(left)->tp_as_number && Py_TYPE(left)->tp_as_number->nb_multiply == &__pyx_nb_multiply_6rubato_5utils_11computation_6vector_Vector)
#endif
            || __Pyx_TypeCheck(left, __pyx_ptype_6rubato_5utils_11computation_6vector_Vector);
    if (!(1)) {
        maybe_self_is_right = Py_TYPE(left) == Py_TYPE(right)
#if CYTHON_USE_TYPE_SLOTS
                || (Py_TYPE(right)->tp_as_number && Py_TYPE(right)->tp_as_number->nb_multiply == &__pyx_nb_multiply_6rubato_5utils_11computation_6vector_Vector)
#endif
                || __Pyx_TypeCheck(right, __pyx_ptype_6rubato_5utils_11computation_6vector_Vector);
    }
    if (maybe_self_is_left) {
        PyObject *res;
        if (maybe_self_is_right && 1 && !(1)) {
            res = __pyx_pw_6rubato_5utils_11computation_6vector_6Vector_95__rmul__(right, left);
            if (res != Py_NotImplemented) return res;
            Py_DECREF(res);
            maybe_self_is_right = 0;
        }
        res = __pyx_pw_6rubato_5utils_11computation_6vector_6Vector_87__mul__(left, right);
        if (res != Py_NotImplemented) return res;
        Py_DECREF(res);
    }
    if ((1)) {
        maybe_self_is_right = Py_TYPE(left) == Py_TYPE(right)
#if CYTHON_USE_TYPE_SLOTS
                || (Py_TYPE(right)->tp_as_number && Py_TYPE(right)->tp_as_number->nb_multiply == &__pyx_nb_multiply_6rubato_5utils_11computation_6vector_Vector)
#endif
                || PyType_IsSubtype(Py_TYPE(right), __pyx_ptype_6rubato_5utils_11computation_6vector_Vector);
    }
    if (maybe_self_is_right) {
        return __pyx_pw_6rubato_5utils_11computation_6vector_6Vector_95__rmul__(right, left);
    }
    return __Pyx_NewRef(Py_NotImplemented);
}



static CYTHON_INLINE PyObject *__pyx_nb_remainder_6rubato_5utils_11computation_6vector_Vector_maybe_call_slot(PyTypeObject* type, PyObject *left, PyObject *right ) {
    binaryfunc slot;
#if CYTHON_USE_TYPE_SLOTS || PY_MAJOR_VERSION < 3 || CYTHON_COMPILING_IN_PYPY
    slot = type->tp_as_number ? type->tp_as_number->nb_remainder : NULL;
#else
    slot = (binaryfunc) PyType_GetSlot(type, Py_nb_remainder);
#endif
    return slot ? slot(left, right ) : __Pyx_NewRef(Py_NotImplemented);
}
static PyObject *__pyx_nb_remainder_6rubato_5utils_11computation_6vector_Vector(PyObject *left, PyObject *right ) {
    int maybe_self_is_left, maybe_self_is_right = 0;
    maybe_self_is_left = Py_TYPE(left) == Py_TYPE(right)
#if CYTHON_USE_TYPE_SLOTS
            || (Py_TYPE(left)->tp_as_number && Py_TYPE(left)->tp_as_number->nb_remainder == &__pyx_nb_remainder_6rubato_5utils_11computation_6vector_Vector)
#endif
            || __Pyx_TypeCheck(left, __pyx_ptype_6rubato_5utils_11computation_6vector_Vector);
    if (!(1)) {
        maybe_self_is_right = Py_TYPE(left) == Py_TYPE(right)
#if CYTHON_USE_TYPE_SLOTS
                || (Py_TYPE(right)->tp_as_number && Py_TYPE(right)->tp_as_number->nb_remainder == &__pyx_nb_remainder_6rubato_5utils_11computation_6vector_Vector)
#endif
                || __Pyx_TypeCheck(right, __pyx_ptype_6rubato_5utils_11computation_6vector_Vector);
    }
    if (maybe_self_is_left) {
        PyObject *res;
        if (maybe_self_is_right && 1 && !(1)) {
            res = __pyx_pw_6rubato_5utils_11computation_6vector_6Vector_119__rmod__(right, left);
            if (res != Py_NotImplemented) return res;
            Py_DECREF(res);
            maybe_self_is_right = 0;
        }
        res = __pyx_pw_6rubato_5utils_11computation_6vector_6Vector_117__mod__(left, right);
        if (res != Py_NotImplemented) return res;
        Py_DECREF(res);
    }
    if ((1)) {
        maybe_self_is_right = Py_TYPE(left) == Py_TYPE(right)
#if CYTHON_USE_TYPE_SLOTS
                || (Py_TYPE(right)->tp_as_number && Py_TYPE(right)->tp_as_number->nb_remainder == &__pyx_nb_remainder_6rubato_5utils_11computation_6vector_Vector)
#endif
                || PyType_IsSubtype(Py_TYPE(right), __pyx_ptype_6rubato_5utils_11computation_6vector_Vector);
    }
    if (maybe_self_is_right) {
        return __pyx_pw_6rubato_5utils_11computation_6vector_6Vector_119__rmod__(right, left);
    }
    return __Pyx_NewRef(Py_NotImplemented);
}



static CYTHON_INLINE PyObject *__pyx_nb_power_6rubato_5utils_11computation_6vector_Vector_maybe_call_slot(PyTypeObject* type, PyObject *left, PyObject *right , PyObject* extra_arg) {
    ternaryfunc slot;
#if CYTHON_USE_TYPE_SLOTS || PY_MAJOR_VERSION < 3 || CYTHON_COMPILING_IN_PYPY
    slot = type->tp_as_number ? type->tp_as_number->nb_power : NULL;
#else
    slot = (ternaryfunc) PyType_GetSlot(type, Py_nb_power);
#endif
    return slot ? slot(left, right , extra_arg) : __Pyx_NewRef(Py_NotImplemented);
}
static PyObject *__pyx_nb_power_6rubato_5utils_11computation_6vector_Vector(PyObject *left, PyObject *right , PyObject* extra_arg) {
    int maybe_self_is_left, maybe_self_is_right = 0;
    maybe_self_is_left = Py_TYPE(left) == Py_TYPE(right)
#if CYTHON_USE_TYPE_SLOTS
            || (Py_TYPE(left)->tp_as_number && Py_TYPE(left)->tp_as_number->nb_power == &__pyx_nb_power_6rubato_5utils_11computation_6vector_Vector)
#endif
            || __Pyx_TypeCheck(left, __pyx_ptype_6rubato_5utils_11computation_6vector_Vector);
    if (!(1)) {
        maybe_self_is_right = Py_TYPE(left) == Py_TYPE(right)
#if CYTHON_USE_TYPE_SLOTS
                || (Py_TYPE(right)->tp_as_number && Py_TYPE(right)->tp_as_number->nb_power == &__pyx_nb_power_6rubato_5utils_11computation_6vector_Vector)
#endif
                || __Pyx_TypeCheck(right, __pyx_ptype_6rubato_5utils_11computation_6vector_Vector);
    }
    if (maybe_self_is_left) {
        PyObject *res;
        if (maybe_self_is_right && 0 && !(1)) {
            res = __pyx_nb_power_6rubato_5utils_11computation_6vector_Vector_maybe_call_slot(__Pyx_PyType_GetSlot(__pyx_ptype_6rubato_5utils_11computation_6vector_Vector, tp_base, PyTypeObject*), left, right , extra_arg);
            if (res != Py_NotImplemented) return res;
            Py_DECREF(res);
            maybe_self_is_right = 0;
        }
        res = __pyx_pw_6rubato_5utils_11computation_6vector_6Vector_83__pow__(left, right, extra_arg);
        if (res != Py_NotImplemented) return res;
        Py_DECREF(res);
    }
    if ((1)) {
        maybe_self_is_right = Py_TYPE(left) == Py_TYPE(right)
#if CYTHON_USE_TYPE_SLOTS
                || (Py_TYPE(right)->tp_as_number && Py_TYPE(right)->tp_as_number->nb_power == &__pyx_nb_power_6rubato_5utils_11computation_6vector_Vector)
#endif
                || PyType_IsSubtype(Py_TYPE(right), __pyx_ptype_6rubato_5utils_11computation_6vector_Vector);
    }
    if (maybe_self_is_right) {
        return __pyx_nb_power_6rubato_5utils_11computation_6vector_Vector_maybe_call_slot(__Pyx_PyType_GetSlot(__pyx_ptype_6rubato_5utils_11computation_6vector_Vector, tp_base, PyTypeObject*), left, right , extra_arg);
    }
    return __Pyx_NewRef(Py_NotImplemented);
}



static CYTHON_INLINE PyObject *__pyx_nb_floor_divide_6rubato_5utils_11computation_6vector_Vector_maybe_call_slot(PyTypeObject* type, PyObject *left, PyObject *right ) {
    binaryfunc slot;
#if CYTHON_USE_TYPE_SLOTS || PY_MAJOR_VERSION < 3 || CYTHON_COMPILING_IN_PYPY
    slot = type->tp_as_number ? type->tp_as_number->nb_floor_divide : NULL;
#else
    slot = (binaryfunc) PyType_GetSlot(type, Py_nb_floor_divide);
#endif
    return slot ? slot(left, right ) : __Pyx_NewRef(Py_NotImplemented);
}
static PyObject *__pyx_nb_floor_divide_6rubato_5utils_11computation_6vector_Vector(PyObject *left, PyObject *right ) {
    int maybe_self_is_left, maybe_self_is_right = 0;
    maybe_self_is_left = Py_TYPE(left) == Py_TYPE(right)
#if CYTHON_USE_TYPE_SLOTS
            || (Py_TYPE(left)->tp_as_number && Py_TYPE(left)->tp_as_number->nb_floor_divide == &__pyx_nb_floor_divide_6rubato_5utils_11computation_6vector_Vector)
#endif
            || __Pyx_TypeCheck(left, __pyx_ptype_6rubato_5utils_11computation_6vector_Vector);
    if (!(1)) {
        maybe_self_is_right = Py_TYPE(left) == Py_TYPE(right)
#if CYTHON_USE_TYPE_SLOTS
                || (Py_TYPE(right)->tp_as_number && Py_TYPE(right)->tp_as_number->nb_floor_divide == &__pyx_nb_floor_divide_6rubato_5utils_11computation_6vector_Vector)
#endif
                || __Pyx_TypeCheck(right, __pyx_ptype_6rubato_5utils_11computation_6vector_Vector);
    }
    if (maybe_self_is_left) {
        PyObject *res;
        if (maybe_self_is_right && 1 && !(1)) {
            res = __pyx_pw_6rubato_5utils_11computation_6vector_6Vector_113__rfloordiv__(right, left);
            if (res != Py_NotImplemented) return res;
            Py_DECREF(res);
            maybe_self_is_right = 0;
        }
        res = __pyx_pw_6rubato_5utils_11computation_6vector_6Vector_111__floordiv__(left, right);
        if (res != Py_NotImplemented) return res;
        Py_DECREF(res);
    }
    if ((1)) {
        maybe_self_is_right = Py_TYPE(left) == Py_TYPE(right)
#if CYTHON_USE_TYPE_SLOTS
                || (Py_TYPE(right)->tp_as_number && Py_TYPE(right)->tp_as_number->nb_floor_divide == &__pyx_nb_floor_divide_6rubato_5utils_11computation_6vector_Vector)
#endif
                || PyType_IsSubtype(Py_TYPE(right), __pyx_ptype_6rubato_5utils_11computation_6vector_Vector);
    }
    if (maybe_self_is_right) {
        return __pyx_pw_6rubato_5utils_11computation_6vector_6Vector_113__rfloordiv__(right, left);
    }
    return __Pyx_NewRef(Py_NotImplemented);
}



static CYTHON_INLINE PyObject *__pyx_nb_true_divide_6rubato_5utils_11computation_6vector_Vector_maybe_call_slot(PyTypeObject* type, PyObject *left, PyObject *right ) {
    binaryfunc slot;
#if CYTHON_USE_TYPE_SLOTS || PY_MAJOR_VERSION < 3 || CYTHON_COMPILING_IN_PYPY
    slot = type->tp_as_number ? type->tp_as_number->nb_true_divide : NULL;
#else
    slot = (binaryfunc) PyType_GetSlot(type, Py_nb_true_divide);
#endif
    return slot ? slot(left, right ) : __Pyx_NewRef(Py_NotImplemented);
}
static PyObject *__pyx_nb_true_divide_6rubato_5utils_11computation_6vector_Vector(PyObject *left, PyObject *right ) {
    int maybe_self_is_left, maybe_self_is_right = 0;
    maybe_self_is_left = Py_TYPE(left) == Py_TYPE(right)
#if CYTHON_USE_TYPE_SLOTS
            || (Py_TYPE(left)->tp_as_number && Py_TYPE(left)->tp_as_number->nb_true_divide == &__pyx_nb_true_divide_6rubato_5utils_11computation_6vector_Vector)
#endif
            || __Pyx_TypeCheck(left, __pyx_ptype_6rubato_5utils_11computation_6vector_Vector);
    if (!(1)) {
        maybe_self_is_right = Py_TYPE(left) == Py_TYPE(right)
#if CYTHON_USE_TYPE_SLOTS
                || (Py_TYPE(right)->tp_as_number && Py_TYPE(right)->tp_as_number->nb_true_divide == &__pyx_nb_true_divide_6rubato_5utils_11computation_6vector_Vector)
#endif
                || __Pyx_TypeCheck(right, __pyx_ptype_6rubato_5utils_11computation_6vector_Vector);
    }
    if (maybe_self_is_left) {
        PyObject *res;
        if (maybe_self_is_right && 1 && !(1)) {
            res = __pyx_pw_6rubato_5utils_11computation_6vector_6Vector_107__rtruediv__(right, left);
            if (res != Py_NotImplemented) return res;
            Py_DECREF(res);
            maybe_self_is_right = 0;
        }
        res = __pyx_pw_6rubato_5utils_11computation_6vector_6Vector_105__truediv__(left, right);
        if (res != Py_NotImplemented) return res;
        Py_DECREF(res);
    }
    if ((1)) {
        maybe_self_is_right = Py_TYPE(left) == Py_TYPE(right)
#if CYTHON_USE_TYPE_SLOTS
                || (Py_TYPE(right)->tp_as_number && Py_TYPE(right)->tp_as_number->nb_true_divide == &__pyx_nb_true_divide_6rubato_5utils_11computation_6vector_Vector)
#endif
                || PyType_IsSubtype(Py_TYPE(right), __pyx_ptype_6rubato_5utils_11computation_6vector_Vector);
    }
    if (maybe_self_is_right) {
        return __pyx_pw_6rubato_5utils_11computation_6vector_6Vector_107__rtruediv__(right, left);
    }
    return __Pyx_NewRef(Py_NotImplemented);
}



static PyObject *__pyx_getprop_6rubato_5utils_11computation_6vector_6Vector_magnitude(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6rubato_5utils_11computation_6vector_6Vector_9magnitude_1__get__(o);
}

static int __pyx_setprop_6rubato_5utils_11computation_6vector_6Vector_magnitude(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_6rubato_5utils_11computation_6vector_6Vector_9magnitude_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_6rubato_5utils_11computation_6vector_6Vector_mag_sq(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6rubato_5utils_11computation_6vector_6Vector_6mag_sq_1__get__(o);
}

static PyObject *__pyx_getprop_6rubato_5utils_11computation_6vector_6Vector_angle(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6rubato_5utils_11computation_6vector_6Vector_5angle_1__get__(o);
}

static PyObject *__pyx_getprop_6rubato_5utils_11computation_6vector_6Vector_rationalized_mag(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6rubato_5utils_11computation_6vector_6Vector_16rationalized_mag_1__get__(o);
}

static PyObject *__pyx_getprop_6rubato_5utils_11computation_6vector_6Vector_rationalized_mag_vector(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6rubato_5utils_11computation_6vector_6Vector_23rationalized_mag_vector_1__get__(o);
}

static PyObject *__pyx_getprop_6rubato_5utils_11computation_6vector_6Vector_rationalized_unit(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6rubato_5utils_11computation_6vector_6Vector_17rationalized_unit_1__get__(o);
}

static PyObject *__pyx_getprop_6rubato_5utils_11computation_6vector_6Vector_x(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6rubato_5utils_11computation_6vector_6Vector_1x_1__get__(o);
}

static int __pyx_setprop_6rubato_5utils_11computation_6vector_6Vector_x(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_6rubato_5utils_11computation_6vector_6Vector_1x_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_6rubato_5utils_11computation_6vector_6Vector_y(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6rubato_5utils_11computation_6vector_6Vector_1y_1__get__(o);
}

static int __pyx_setprop_6rubato_5utils_11computation_6vector_6Vector_y(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_6rubato_5utils_11computation_6vector_6Vector_1y_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_specialmethod___pyx_pw_6rubato_5utils_11computation_6vector_6Vector_127__repr__(PyObject *self, CYTHON_UNUSED PyObject *arg) {
  return __pyx_pw_6rubato_5utils_11computation_6vector_6Vector_127__repr__(self);
}

static PyMethodDef __pyx_methods_6rubato_5utils_11computation_6vector_Vector[] = {
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  {"normalize", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6rubato_5utils_11computation_6vector_6Vector_5normalize, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_6rubato_5utils_11computation_6vector_6Vector_4normalize},
  {"sum", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6rubato_5utils_11computation_6vector_6Vector_7sum, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_6rubato_5utils_11computation_6vector_6Vector_6sum},
  {"dot", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6rubato_5utils_11computation_6vector_6Vector_9dot, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_6rubato_5utils_11computation_6vector_6Vector_8dot},
  {"cross", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6rubato_5utils_11computation_6vector_6Vector_11cross, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_6rubato_5utils_11computation_6vector_6Vector_10cross},
  {"perpendicular", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6rubato_5utils_11computation_6vector_6Vector_13perpendicular, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_6rubato_5utils_11computation_6vector_6Vector_12perpendicular},
  {"clamp", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6rubato_5utils_11computation_6vector_6Vector_15clamp, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_6rubato_5utils_11computation_6vector_6Vector_14clamp},
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  {"to_tuple", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6rubato_5utils_11computation_6vector_6Vector_19to_tuple, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_6rubato_5utils_11computation_6vector_6Vector_18to_tuple},
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  {"within", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6rubato_5utils_11computation_6vector_6Vector_43within, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_6rubato_5utils_11computation_6vector_6Vector_42within},
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  {"clamp_magnitude", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6rubato_5utils_11computation_6vector_6Vector_47clamp_magnitude, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_6rubato_5utils_11computation_6vector_6Vector_46clamp_magnitude},
  {"angle_between", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6rubato_5utils_11computation_6vector_6Vector_49angle_between, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_6rubato_5utils_11computation_6vector_6Vector_48angle_between},
  {"rand_unit_vector", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6rubato_5utils_11computation_6vector_6Vector_51rand_unit_vector, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_6rubato_5utils_11computation_6vector_6Vector_50rand_unit_vector},
  {"poly", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6rubato_5utils_11computation_6vector_6Vector_53poly, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_6rubato_5utils_11computation_6vector_6Vector_52poly},
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  {"up", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6rubato_5utils_11computation_6vector_6Vector_61up, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_6rubato_5utils_11computation_6vector_6Vector_60up},
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  {"down", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6rubato_5utils_11computation_6vector_6Vector_65down, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_6rubato_5utils_11computation_6vector_6Vector_64down},
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static struct PyGetSetDef __pyx_getsets_6rubato_5utils_11computation_6vector_Vector[] = {
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  {(char *)"angle", __pyx_getprop_6rubato_5utils_11computation_6vector_6Vector_angle, 0, (char *)PyDoc_STR("The angle of the vector in north-degrees (readonly)."), 0},
  {(char *)"rationalized_mag", __pyx_getprop_6rubato_5utils_11computation_6vector_6Vector_rationalized_mag, 0, (char *)PyDoc_STR("\n        Returns a string representation of a rationalized vector magnitude as you would use in math class.\n\n        Example:\n            >>> Vector(8, 8).rationalized_mag\n            4\342\210\2328\n\n        Warnings:\n            Should only be used on vectors with integer components.\n        "), 0},
  {(char *)"rationalized_mag_vector", __pyx_getprop_6rubato_5utils_11computation_6vector_6Vector_rationalized_mag_vector, 0, (char *)PyDoc_STR("\n        Returns a vector with the rationalized magnitude.\n\n        Example:\n            >>> Vector(8, 8).rationalized_mag\n            rubato.Vector(4, 8)\n\n        Warnings:\n            Should only be used on vectors with integer components.\n        "), 0},
  {(char *)"rationalized_unit", __pyx_getprop_6rubato_5utils_11computation_6vector_6Vector_rationalized_unit, 0, (char *)PyDoc_STR("\n        Returns a string representation of a rationalized unit vector as you would use in math class.\n\n        Warnings:\n            Should only be used on vectors with integer components.\n        "), 0},
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  {(char *)"y", __pyx_getprop_6rubato_5utils_11computation_6vector_6Vector_y, __pyx_setprop_6rubato_5utils_11computation_6vector_6Vector_y, (char *)PyDoc_STR("y: 'float'"), 0},
  {0, 0, 0, 0, 0}
};
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_type_6rubato_5utils_11computation_6vector_Vector_slots[] = {
  {Py_tp_dealloc, (void *)__pyx_tp_dealloc_6rubato_5utils_11computation_6vector_Vector},
  {Py_tp_repr, (void *)__pyx_pw_6rubato_5utils_11computation_6vector_6Vector_127__repr__},
  {Py_nb_add, (void *)__pyx_nb_add_6rubato_5utils_11computation_6vector_Vector},
  {Py_nb_subtract, (void *)__pyx_nb_subtract_6rubato_5utils_11computation_6vector_Vector},
  {Py_nb_multiply, (void *)__pyx_nb_multiply_6rubato_5utils_11computation_6vector_Vector},
  {Py_nb_remainder, (void *)__pyx_nb_remainder_6rubato_5utils_11computation_6vector_Vector},
  {Py_nb_power, (void *)__pyx_nb_power_6rubato_5utils_11computation_6vector_Vector},
  {Py_nb_negative, (void *)__pyx_pw_6rubato_5utils_11computation_6vector_6Vector_123__neg__},
  {Py_nb_inplace_add, (void *)__pyx_pw_6rubato_5utils_11computation_6vector_6Vector_93__iadd__},
  {Py_nb_inplace_subtract, (void *)__pyx_pw_6rubato_5utils_11computation_6vector_6Vector_103__isub__},
  {Py_nb_inplace_multiply, (void *)__pyx_pw_6rubato_5utils_11computation_6vector_6Vector_91__imul__},
  {Py_nb_inplace_remainder, (void *)__pyx_pw_6rubato_5utils_11computation_6vector_6Vector_121__imod__},
  {Py_nb_inplace_power, (void *)__pyx_pw_6rubato_5utils_11computation_6vector_6Vector_85__ipow__},
  {Py_nb_floor_divide, (void *)__pyx_nb_floor_divide_6rubato_5utils_11computation_6vector_Vector},
  {Py_nb_true_divide, (void *)__pyx_nb_true_divide_6rubato_5utils_11computation_6vector_Vector},
  {Py_nb_inplace_floor_divide, (void *)__pyx_pw_6rubato_5utils_11computation_6vector_6Vector_115__ifloordiv__},
  {Py_nb_inplace_true_divide, (void *)__pyx_pw_6rubato_5utils_11computation_6vector_6Vector_109__itruediv__},
  {Py_sq_length, (void *)__pyx_pw_6rubato_5utils_11computation_6vector_6Vector_135__len__},
  {Py_sq_item, (void *)__pyx_sq_item_6rubato_5utils_11computation_6vector_Vector},
  {Py_mp_length, (void *)__pyx_pw_6rubato_5utils_11computation_6vector_6Vector_135__len__},
  {Py_mp_subscript, (void *)__pyx_pw_6rubato_5utils_11computation_6vector_6Vector_131__getitem__},
  {Py_mp_ass_subscript, (void *)__pyx_mp_ass_subscript_6rubato_5utils_11computation_6vector_Vector},
  {Py_tp_hash, (void *)__pyx_pw_6rubato_5utils_11computation_6vector_6Vector_73__hash__},
  {Py_tp_str, (void *)__pyx_pw_6rubato_5utils_11computation_6vector_6Vector_129__str__},
  {Py_tp_doc, (void *)PyDoc_STR("Vector(x: float | int = 0, y: float | int = 0)\n\n    A Vector object that defines a 2D point in space\n\n    Args:\n        x: The x coordinate. Defaults to 0.\n        y: The y coordinate. Defaults to 0.\n    ")},
  {Py_tp_richcompare, (void *)__pyx_tp_richcompare_6rubato_5utils_11computation_6vector_Vector},
  {Py_tp_iter, (void *)__pyx_pw_6rubato_5utils_11computation_6vector_6Vector_125__iter__},
  {Py_tp_methods, (void *)__pyx_methods_6rubato_5utils_11computation_6vector_Vector},
  {Py_tp_getset, (void *)__pyx_getsets_6rubato_5utils_11computation_6vector_Vector},
  {Py_tp_init, (void *)__pyx_pw_6rubato_5utils_11computation_6vector_6Vector_1__init__},
  {Py_tp_new, (void *)__pyx_tp_new_6rubato_5utils_11computation_6vector_Vector},
  {0, 0},
};
static PyType_Spec __pyx_type_6rubato_5utils_11computation_6vector_Vector_spec = {
  "rubato.utils.computation.vector.Vector",
  sizeof(struct __pyx_obj_6rubato_5utils_11computation_6vector_Vector),
  0,
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE,
  __pyx_type_6rubato_5utils_11computation_6vector_Vector_slots,
};
#else

static PyNumberMethods __pyx_tp_as_number_Vector = {
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  __pyx_nb_subtract_6rubato_5utils_11computation_6vector_Vector, /*nb_subtract*/
  __pyx_nb_multiply_6rubato_5utils_11computation_6vector_Vector, /*nb_multiply*/
  #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000)
  0, /*nb_divide*/
  #endif
  __pyx_nb_remainder_6rubato_5utils_11computation_6vector_Vector, /*nb_remainder*/
  0, /*nb_divmod*/
  __pyx_nb_power_6rubato_5utils_11computation_6vector_Vector, /*nb_power*/
  __pyx_pw_6rubato_5utils_11computation_6vector_6Vector_123__neg__, /*nb_negative*/
  0, /*nb_positive*/
  0, /*nb_absolute*/
  0, /*nb_bool*/
  0, /*nb_invert*/
  0, /*nb_lshift*/
  0, /*nb_rshift*/
  0, /*nb_and*/
  0, /*nb_xor*/
  0, /*nb_or*/
  #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000)
  0, /*nb_coerce*/
  #endif
  0, /*nb_int*/
  #if PY_MAJOR_VERSION < 3
  0, /*nb_long*/
  #else
  0, /*reserved*/
  #endif
  0, /*nb_float*/
  #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000)
  0, /*nb_oct*/
  #endif
  #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000)
  0, /*nb_hex*/
  #endif
  __pyx_pw_6rubato_5utils_11computation_6vector_6Vector_93__iadd__, /*nb_inplace_add*/
  __pyx_pw_6rubato_5utils_11computation_6vector_6Vector_103__isub__, /*nb_inplace_subtract*/
  __pyx_pw_6rubato_5utils_11computation_6vector_6Vector_91__imul__, /*nb_inplace_multiply*/
  #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000)
  0, /*nb_inplace_divide*/
  #endif
  __pyx_pw_6rubato_5utils_11computation_6vector_6Vector_121__imod__, /*nb_inplace_remainder*/
  __pyx_pw_6rubato_5utils_11computation_6vector_6Vector_85__ipow__, /*nb_inplace_power*/
  0, /*nb_inplace_lshift*/
  0, /*nb_inplace_rshift*/
  0, /*nb_inplace_and*/
  0, /*nb_inplace_xor*/
  0, /*nb_inplace_or*/
  __pyx_nb_floor_divide_6rubato_5utils_11computation_6vector_Vector, /*nb_floor_divide*/
  __pyx_nb_true_divide_6rubato_5utils_11computation_6vector_Vector, /*nb_true_divide*/
  __pyx_pw_6rubato_5utils_11computation_6vector_6Vector_115__ifloordiv__, /*nb_inplace_floor_divide*/
  __pyx_pw_6rubato_5utils_11computation_6vector_6Vector_109__itruediv__, /*nb_inplace_true_divide*/
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  #if PY_VERSION_HEX >= 0x03050000
  0, /*nb_matrix_multiply*/
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  #if PY_VERSION_HEX >= 0x03050000
  0, /*nb_inplace_matrix_multiply*/
  #endif
};

static PySequenceMethods __pyx_tp_as_sequence_Vector = {
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  0, /*sq_concat*/
  0, /*sq_repeat*/
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  0, /*sq_slice*/
  0, /*sq_ass_item*/
  0, /*sq_ass_slice*/
  0, /*sq_contains*/
  0, /*sq_inplace_concat*/
  0, /*sq_inplace_repeat*/
};

static PyMappingMethods __pyx_tp_as_mapping_Vector = {
  __pyx_pw_6rubato_5utils_11computation_6vector_6Vector_135__len__, /*mp_length*/
  __pyx_pw_6rubato_5utils_11computation_6vector_6Vector_131__getitem__, /*mp_subscript*/
  __pyx_mp_ass_subscript_6rubato_5utils_11computation_6vector_Vector, /*mp_ass_subscript*/
};

static PyTypeObject __pyx_type_6rubato_5utils_11computation_6vector_Vector = {
  PyVarObject_HEAD_INIT(0, 0)
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  0, /*tp_itemsize*/
  __pyx_tp_dealloc_6rubato_5utils_11computation_6vector_Vector, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  __pyx_pw_6rubato_5utils_11computation_6vector_6Vector_127__repr__, /*tp_repr*/
  &__pyx_tp_as_number_Vector, /*tp_as_number*/
  &__pyx_tp_as_sequence_Vector, /*tp_as_sequence*/
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  __pyx_pw_6rubato_5utils_11computation_6vector_6Vector_73__hash__, /*tp_hash*/
  0, /*tp_call*/
  __pyx_pw_6rubato_5utils_11computation_6vector_6Vector_129__str__, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE, /*tp_flags*/
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  0, /*tp_traverse*/
  0, /*tp_clear*/
  __pyx_tp_richcompare_6rubato_5utils_11computation_6vector_Vector, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  __pyx_pw_6rubato_5utils_11computation_6vector_6Vector_125__iter__, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_6rubato_5utils_11computation_6vector_Vector, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_6rubato_5utils_11computation_6vector_Vector, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
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static CYTHON_INLINE void __Pyx_copy_object_array(PyObject *const *CYTHON_RESTRICT src, PyObject** CYTHON_RESTRICT dest, Py_ssize_t length) {
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#if PY_MAJOR_VERSION < 3
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                #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
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                    #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
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invalid_keyword:
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    PyErr_Format(PyExc_TypeError,
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    PyCodeObject *py_code = 0;
#if PY_MAJOR_VERSION >= 3
    py_code = PyCode_NewEmpty(srcfile, funcname, firstlineno);
    if (likely(py_code)) {
        py_code->co_flags |= CO_OPTIMIZED | CO_NEWLOCALS;
    }
#else
    PyObject *py_srcfile = 0;
    PyObject *py_funcname = 0;
    py_funcname = PyString_FromString(funcname);
    if (unlikely(!py_funcname)) goto bad;
    py_srcfile = PyString_FromString(srcfile);
    if (unlikely(!py_srcfile)) goto bad;
    py_code = PyCode_New(
        0,
        0,
        0,
        CO_OPTIMIZED | CO_NEWLOCALS,
        __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,*/
        firstlineno,
        __pyx_empty_bytes      /*PyObject *lnotab*/
    );
bad:
    Py_XDECREF(py_srcfile);
    Py_XDECREF(py_funcname);
#endif
    return py_code;
}
#endif

/* 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;
    }
#elif CYTHON_COMPILING_IN_LIMITED_API
    if (unlikely(!__pyx_m)) {
        return NULL;
    }
    result = PyObject_GetAttr(__pyx_m, name);
    if (likely(result)) {
        return result;
    }
#else
    result = PyDict_GetItem(__pyx_d, name);
    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    }
#endif
#else
    result = PyObject_GetItem(__pyx_d, name);
    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    }
    PyErr_Clear();
#endif
    return __Pyx_GetBuiltinName(name);
}

/* PyFunctionFastCall */
#if CYTHON_FAST_PYCALL && !CYTHON_VECTORCALL
static PyObject* __Pyx_PyFunction_FastCallNoKw(PyCodeObject *co, PyObject **args, Py_ssize_t na,
                                               PyObject *globals) {
    PyFrameObject *f;
    PyThreadState *tstate = __Pyx_PyThreadState_Current;
    PyObject **fastlocals;
    Py_ssize_t i;
    PyObject *result;
    assert(globals != NULL);
    /* XXX Perhaps we should create a specialized
       PyFrame_New() that doesn't take locals, but does
       take builtins without sanity checking them.
       */
    assert(tstate != NULL);
    f = PyFrame_New(tstate, co, globals, NULL);
    if (f == NULL) {
        return NULL;
    }
    fastlocals = __Pyx_PyFrame_GetLocalsplus(f);
    for (i = 0; i < na; i++) {
        Py_INCREF(*args);
        fastlocals[i] = *args++;
    }
    result = PyEval_EvalFrameEx(f,0);
    ++tstate->recursion_depth;
    Py_DECREF(f);
    --tstate->recursion_depth;
    return result;
}
static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, Py_ssize_t nargs, PyObject *kwargs) {
    PyCodeObject *co = (PyCodeObject *)PyFunction_GET_CODE(func);
    PyObject *globals = PyFunction_GET_GLOBALS(func);
    PyObject *argdefs = PyFunction_GET_DEFAULTS(func);
    PyObject *closure;
#if PY_MAJOR_VERSION >= 3
    PyObject *kwdefs;
#endif
    PyObject *kwtuple, **k;
    PyObject **d;
    Py_ssize_t nd;
    Py_ssize_t nk;
    PyObject *result;
    assert(kwargs == NULL || PyDict_Check(kwargs));
    nk = kwargs ? PyDict_Size(kwargs) : 0;
    if (unlikely(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

/* PyObjectCall */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    PyObject *result;
    ternaryfunc call = Py_TYPE(func)->tp_call;
    if (unlikely(!call))
        return PyObject_Call(func, arg, kw);
    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
        return NULL;
    result = (*call)(func, arg, kw);
    Py_LeaveRecursiveCall();
    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
        PyErr_SetString(
            PyExc_SystemError,
            "NULL result without error in PyObject_Call");
    }
    return result;
}
#endif

/* 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

/* PyObjectFastCall */
static PyObject* __Pyx_PyObject_FastCall_fallback(PyObject *func, PyObject **args, size_t nargs, PyObject *kwargs) {
    PyObject *argstuple;
    PyObject *result;
    size_t i;
    argstuple = PyTuple_New((Py_ssize_t)nargs);
    if (unlikely(!argstuple)) return NULL;
    for (i = 0; i < nargs; i++) {
        Py_INCREF(args[i]);
        PyTuple_SET_ITEM(argstuple, (Py_ssize_t)i, args[i]);
    }
    result = __Pyx_PyObject_Call(func, argstuple, kwargs);
    Py_DECREF(argstuple);
    return result;
}
static CYTHON_INLINE PyObject* __Pyx_PyObject_FastCallDict(PyObject *func, PyObject **args, size_t _nargs, PyObject *kwargs) {
    Py_ssize_t nargs = __Pyx_PyVectorcall_NARGS(_nargs);
#if CYTHON_COMPILING_IN_CPYTHON
    if (nargs == 0 && kwargs == NULL) {
#ifdef __Pyx_CyFunction_USED
        if (__Pyx_IsCyOrPyCFunction(func))
#else
        if (PyCFunction_Check(func))
#endif
        {
            if (likely(PyCFunction_GET_FLAGS(func) & METH_NOARGS)) {
                return __Pyx_PyObject_CallMethO(func, NULL);
            }
        }
    }
    else if (nargs == 1 && kwargs == NULL) {
        if (PyCFunction_Check(func))
        {
            if (likely(PyCFunction_GET_FLAGS(func) & METH_O)) {
                return __Pyx_PyObject_CallMethO(func, args[0]);
            }
        }
    }
#endif
    #if PY_VERSION_HEX < 0x030800B1
    #if CYTHON_FAST_PYCCALL
    if (PyCFunction_Check(func)) {
        if (kwargs) {
            return _PyCFunction_FastCallDict(func, args, nargs, kwargs);
        } else {
            return _PyCFunction_FastCallKeywords(func, args, nargs, NULL);
        }
    }
    #if PY_VERSION_HEX >= 0x030700A1
    if (!kwargs && __Pyx_IS_TYPE(func, &PyMethodDescr_Type)) {
        return _PyMethodDescr_FastCallKeywords(func, args, nargs, NULL);
    }
    #endif
    #endif
    #if CYTHON_FAST_PYCALL
    if (PyFunction_Check(func)) {
        return __Pyx_PyFunction_FastCallDict(func, args, nargs, kwargs);
    }
    #endif
    #endif
    #if CYTHON_VECTORCALL
    vectorcallfunc f = _PyVectorcall_Function(func);
    if (f) {
        return f(func, args, (size_t)nargs, kwargs);
    }
    #elif defined(__Pyx_CyFunction_USED) && CYTHON_BACKPORT_VECTORCALL
    if (__Pyx_CyFunction_CheckExact(func)) {
        __pyx_vectorcallfunc f = __Pyx_CyFunction_func_vectorcall(func);
        if (f) return f(func, args, (size_t)nargs, kwargs);
    }
    #endif
    if (nargs == 0) {
        return __Pyx_PyObject_Call(func, __pyx_empty_tuple, kwargs);
    }
    return __Pyx_PyObject_FastCall_fallback(func, args, (size_t)nargs, kwargs);
}

/* PyObjectCallOneArg */
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
    PyObject *args[2] = {NULL, arg};
    return __Pyx_PyObject_FastCall(func, args+1, 1 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET);
}

/* PyIntCompare */
static CYTHON_INLINE PyObject* __Pyx_PyInt_NeObjC(PyObject *op1, PyObject *op2, long intval, long inplace) {
    CYTHON_MAYBE_UNUSED_VAR(intval);
    CYTHON_UNUSED_VAR(inplace);
    if (op1 == op2) {
        Py_RETURN_FALSE;
    }
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long a = PyInt_AS_LONG(op1);
        if (a != b) Py_RETURN_TRUE; else Py_RETURN_FALSE;
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        int unequal;
        unsigned long uintval;
        Py_ssize_t size = Py_SIZE(op1);
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        if (intval == 0) {
            if (size != 0) Py_RETURN_TRUE; else Py_RETURN_FALSE;
        } else if (intval < 0) {
            if (size >= 0)
                Py_RETURN_TRUE;
            intval = -intval;
            size = -size;
        } else {
            if (size <= 0)
                Py_RETURN_TRUE;
        }
        uintval = (unsigned long) intval;
#if PyLong_SHIFT * 4 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 4)) {
            unequal = (size != 5) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[4] != ((uintval >> (4 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 3 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 3)) {
            unequal = (size != 4) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 2 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 2)) {
            unequal = (size != 3) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 1 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 1)) {
            unequal = (size != 2) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
            unequal = (size != 1) || (((unsigned long) digits[0]) != (uintval & (unsigned long) PyLong_MASK));
        if (unequal != 0) Py_RETURN_TRUE; else Py_RETURN_FALSE;
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
#if CYTHON_COMPILING_IN_LIMITED_API
        double a = __pyx_PyFloat_AsDouble(op1);
#else
        double a = PyFloat_AS_DOUBLE(op1);
#endif
        if ((double)a != (double)b) Py_RETURN_TRUE; else Py_RETURN_FALSE;
    }
    return (
        PyObject_RichCompare(op1, op2, Py_NE));
}

/* GetItemInt */
static PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j) {
    PyObject *r;
    if (unlikely(!j)) return NULL;
    r = PyObject_GetItem(o, j);
    Py_DECREF(j);
    return r;
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i,
                                                              CYTHON_NCP_UNUSED int wraparound,
                                                              CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    Py_ssize_t wrapped_i = i;
    if (wraparound & unlikely(i < 0)) {
        wrapped_i += PyList_GET_SIZE(o);
    }
    if ((!boundscheck) || likely(__Pyx_is_valid_index(wrapped_i, PyList_GET_SIZE(o)))) {
        PyObject *r = PyList_GET_ITEM(o, wrapped_i);
        Py_INCREF(r);
        return r;
    }
    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
#else
    return PySequence_GetItem(o, i);
#endif
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,
                                                              CYTHON_NCP_UNUSED int wraparound,
                                                              CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    Py_ssize_t wrapped_i = i;
    if (wraparound & unlikely(i < 0)) {
        wrapped_i += PyTuple_GET_SIZE(o);
    }
    if ((!boundscheck) || likely(__Pyx_is_valid_index(wrapped_i, PyTuple_GET_SIZE(o)))) {
        PyObject *r = PyTuple_GET_ITEM(o, wrapped_i);
        Py_INCREF(r);
        return r;
    }
    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
#else
    return PySequence_GetItem(o, i);
#endif
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i, int is_list,
                                                     CYTHON_NCP_UNUSED int wraparound,
                                                     CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS && CYTHON_USE_TYPE_SLOTS
    if (is_list || PyList_CheckExact(o)) {
        Py_ssize_t n = ((!wraparound) | likely(i >= 0)) ? i : i + PyList_GET_SIZE(o);
        if ((!boundscheck) || (likely(__Pyx_is_valid_index(n, PyList_GET_SIZE(o))))) {
            PyObject *r = PyList_GET_ITEM(o, n);
            Py_INCREF(r);
            return r;
        }
    }
    else if (PyTuple_CheckExact(o)) {
        Py_ssize_t n = ((!wraparound) | likely(i >= 0)) ? i : i + PyTuple_GET_SIZE(o);
        if ((!boundscheck) || likely(__Pyx_is_valid_index(n, PyTuple_GET_SIZE(o)))) {
            PyObject *r = PyTuple_GET_ITEM(o, n);
            Py_INCREF(r);
            return r;
        }
    } else {
        PyMappingMethods *mm = Py_TYPE(o)->tp_as_mapping;
        PySequenceMethods *sm = Py_TYPE(o)->tp_as_sequence;
        if (mm && mm->mp_subscript) {
            PyObject *r, *key = PyInt_FromSsize_t(i);
            if (unlikely(!key)) return NULL;
            r = mm->mp_subscript(o, key);
            Py_DECREF(key);
            return r;
        }
        if (likely(sm && sm->sq_item)) {
            if (wraparound && unlikely(i < 0) && likely(sm->sq_length)) {
                Py_ssize_t l = sm->sq_length(o);
                if (likely(l >= 0)) {
                    i += l;
                } else {
                    if (!PyErr_ExceptionMatches(PyExc_OverflowError))
                        return NULL;
                    PyErr_Clear();
                }
            }
            return sm->sq_item(o, i);
        }
    }
#else
    if (is_list || PySequence_Check(o)) {
        return PySequence_GetItem(o, i);
    }
#endif
    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
}

/* JoinPyUnicode */
static PyObject* __Pyx_PyUnicode_Join(PyObject* value_tuple, Py_ssize_t value_count, Py_ssize_t result_ulength,
                                      Py_UCS4 max_char) {
#if CYTHON_USE_UNICODE_INTERNALS && CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    PyObject *result_uval;
    int result_ukind, kind_shift;
    Py_ssize_t i, char_pos;
    void *result_udata;
    CYTHON_MAYBE_UNUSED_VAR(max_char);
#if CYTHON_PEP393_ENABLED
    result_uval = PyUnicode_New(result_ulength, max_char);
    if (unlikely(!result_uval)) return NULL;
    result_ukind = (max_char <= 255) ? PyUnicode_1BYTE_KIND : (max_char <= 65535) ? PyUnicode_2BYTE_KIND : PyUnicode_4BYTE_KIND;
    kind_shift = (result_ukind == PyUnicode_4BYTE_KIND) ? 2 : result_ukind - 1;
    result_udata = PyUnicode_DATA(result_uval);
#else
    result_uval = PyUnicode_FromUnicode(NULL, result_ulength);
    if (unlikely(!result_uval)) return NULL;
    result_ukind = sizeof(Py_UNICODE);
    kind_shift = (result_ukind == 4) ? 2 : result_ukind - 1;
    result_udata = PyUnicode_AS_UNICODE(result_uval);
#endif
    assert(kind_shift == 2 || kind_shift == 1 || kind_shift == 0);
    char_pos = 0;
    for (i=0; i < value_count; i++) {
        int ukind;
        Py_ssize_t ulength;
        void *udata;
        PyObject *uval = PyTuple_GET_ITEM(value_tuple, i);
        if (unlikely(__Pyx_PyUnicode_READY(uval)))
            goto bad;
        ulength = __Pyx_PyUnicode_GET_LENGTH(uval);
        if (unlikely(!ulength))
            continue;
        if (unlikely((PY_SSIZE_T_MAX >> kind_shift) - ulength < char_pos))
            goto overflow;
        ukind = __Pyx_PyUnicode_KIND(uval);
        udata = __Pyx_PyUnicode_DATA(uval);
        if (!CYTHON_PEP393_ENABLED || ukind == result_ukind) {
            memcpy((char *)result_udata + (char_pos << kind_shift), udata, (size_t) (ulength << kind_shift));
        } else {
            #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030300F0 || defined(_PyUnicode_FastCopyCharacters)
            _PyUnicode_FastCopyCharacters(result_uval, char_pos, uval, 0, ulength);
            #else
            Py_ssize_t j;
            for (j=0; j < ulength; j++) {
                Py_UCS4 uchar = __Pyx_PyUnicode_READ(ukind, udata, j);
                __Pyx_PyUnicode_WRITE(result_ukind, result_udata, char_pos+j, uchar);
            }
            #endif
        }
        char_pos += ulength;
    }
    return result_uval;
overflow:
    PyErr_SetString(PyExc_OverflowError, "join() result is too long for a Python string");
bad:
    Py_DECREF(result_uval);
    return NULL;
#else
    CYTHON_UNUSED_VAR(max_char);
    CYTHON_UNUSED_VAR(result_ulength);
    CYTHON_UNUSED_VAR(value_count);
    return PyUnicode_Join(__pyx_empty_unicode, value_tuple);
#endif
}

/* PyIntCompare */
static CYTHON_INLINE PyObject* __Pyx_PyInt_EqObjC(PyObject *op1, PyObject *op2, long intval, long inplace) {
    CYTHON_MAYBE_UNUSED_VAR(intval);
    CYTHON_UNUSED_VAR(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;
#if CYTHON_COMPILING_IN_LIMITED_API
        double a = __pyx_PyFloat_AsDouble(op1);
#else
        double a = PyFloat_AS_DOUBLE(op1);
#endif
        if ((double)a == (double)b) Py_RETURN_TRUE; else Py_RETURN_FALSE;
    }
    return (
        PyObject_RichCompare(op1, op2, Py_EQ));
}

/* PyObjectCallNoArg */
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func) {
    PyObject *arg = NULL;
    return __Pyx_PyObject_FastCall(func, (&arg)+1, 0 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET);
}

/* 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

/* ExtTypeTest */
static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type) {
    __Pyx_TypeName obj_type_name;
    __Pyx_TypeName type_name;
    if (unlikely(!type)) {
        PyErr_SetString(PyExc_SystemError, "Missing type object");
        return 0;
    }
    if (likely(__Pyx_TypeCheck(obj, type)))
        return 1;
    obj_type_name = __Pyx_PyType_GetName(Py_TYPE(obj));
    type_name = __Pyx_PyType_GetName(type);
    PyErr_Format(PyExc_TypeError,
                 "Cannot convert " __Pyx_FMT_TYPENAME " to " __Pyx_FMT_TYPENAME,
                 obj_type_name, type_name);
    __Pyx_DECREF_TypeName(obj_type_name);
    __Pyx_DECREF_TypeName(type_name);
    return 0;
}

/* KeywordStringCheck */
static int __Pyx_CheckKeywordStrings(
    PyObject *kw,
    const char* function_name,
    int kw_allowed)
{
    PyObject* key = 0;
    Py_ssize_t pos = 0;
#if CYTHON_COMPILING_IN_PYPY
    if (!kw_allowed && PyDict_Next(kw, &pos, &key, 0))
        goto invalid_keyword;
    return 1;
#else
    if (CYTHON_METH_FASTCALL && likely(PyTuple_Check(kw))) {
        if (unlikely(PyTuple_GET_SIZE(kw) == 0))
            return 1;
        if (!kw_allowed) {
            key = PyTuple_GET_ITEM(kw, 0);
            goto invalid_keyword;
        }
#if PY_VERSION_HEX < 0x03090000
        for (pos = 0; pos < PyTuple_GET_SIZE(kw); pos++) {
            key = PyTuple_GET_ITEM(kw, pos);
            if (unlikely(!PyUnicode_Check(key)))
                goto invalid_keyword_type;
        }
#endif
        return 1;
    }
    while (PyDict_Next(kw, &pos, &key, 0)) {
        #if PY_MAJOR_VERSION < 3
        if (unlikely(!PyString_Check(key)))
        #endif
            if (unlikely(!PyUnicode_Check(key)))
                goto invalid_keyword_type;
    }
    if (!kw_allowed && unlikely(key))
        goto invalid_keyword;
    return 1;
invalid_keyword_type:
    PyErr_Format(PyExc_TypeError,
        "%.200s() keywords must be strings", function_name);
    return 0;
#endif
invalid_keyword:
    #if PY_MAJOR_VERSION < 3
    PyErr_Format(PyExc_TypeError,
        "%.200s() got an unexpected keyword argument '%.200s'",
        function_name, PyString_AsString(key));
    #else
    PyErr_Format(PyExc_TypeError,
        "%s() got an unexpected keyword argument '%U'",
        function_name, key);
    #endif
    return 0;
}

/* ArgTypeTest */
static int __Pyx__ArgTypeTest(PyObject *obj, PyTypeObject *type, const char *name, int exact)
{
    __Pyx_TypeName type_name;
    __Pyx_TypeName obj_type_name;
    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;
    }
    type_name = __Pyx_PyType_GetName(type);
    obj_type_name = __Pyx_PyType_GetName(Py_TYPE(obj));
    PyErr_Format(PyExc_TypeError,
        "Argument '%.200s' has incorrect type (expected " __Pyx_FMT_TYPENAME
        ", got " __Pyx_FMT_TYPENAME ")", name, type_name, obj_type_name);
    __Pyx_DECREF_TypeName(type_name);
    __Pyx_DECREF_TypeName(obj_type_name);
    return 0;
}

/* py_abs */
#if CYTHON_USE_PYLONG_INTERNALS
static PyObject *__Pyx_PyLong_AbsNeg(PyObject *n) {
    if (likely(Py_SIZE(n) == -1)) {
        return PyLong_FromLong(((PyLongObject*)n)->ob_digit[0]);
    }
#if CYTHON_COMPILING_IN_CPYTHON
    {
        PyObject *copy = _PyLong_Copy((PyLongObject*)n);
        if (likely(copy)) {
            __Pyx_SET_SIZE(copy, -Py_SIZE(copy));
        }
        return copy;
    }
#else
    return PyNumber_Negative(n);
#endif
}
#endif

/* PyIntFromDouble */
#if PY_MAJOR_VERSION < 3
static CYTHON_INLINE PyObject* __Pyx_PyInt_FromDouble(double value) {
    if (value >= (double)LONG_MIN && value <= (double)LONG_MAX) {
        return PyInt_FromLong((long)value);
    }
    return PyLong_FromDouble(value);
}
#endif

/* PyIntBinop */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_MultiplyObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check) {
    CYTHON_MAYBE_UNUSED_VAR(intval);
    CYTHON_MAYBE_UNUSED_VAR(inplace);
    CYTHON_UNUSED_VAR(zerodivision_check);
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long a = PyInt_AS_LONG(op1);
        
#ifdef HAVE_LONG_LONG
            if (sizeof(PY_LONG_LONG) > sizeof(long)) {
                PY_LONG_LONG result = (PY_LONG_LONG)a * (PY_LONG_LONG)b;
                return (result >= LONG_MIN && result <= LONG_MAX) ?
                    PyInt_FromLong((long)result) : PyLong_FromLongLong(result);
            }
#endif
#if CYTHON_USE_TYPE_SLOTS
            return PyInt_Type.tp_as_number->nb_multiply(op1, op2);
#else
            return PyNumber_Multiply(op1, op2);
#endif
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(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 (unlikely(size == 0)) {
            return __Pyx_NewRef(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+30) {
                        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+30) {
                        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+30) {
                        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+30) {
                        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+30) {
                        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+30) {
                        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+30) {
                        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+30) {
                        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+30) {
                        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+30) {
                        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+30) {
                        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+30) {
                        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_multiply(op1, op2);
            }
        }
                (void)a; (void)b;
                #ifdef HAVE_LONG_LONG
                lla = a;
                goto long_long;
                #else
                return PyLong_Type.tp_as_number->nb_multiply(op1, op2);
                #endif
            return PyLong_FromLong(x);
#ifdef HAVE_LONG_LONG
        long_long:
                llx = lla * llb;
            return PyLong_FromLongLong(llx);
#endif
        
        
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
#if CYTHON_COMPILING_IN_LIMITED_API
        double a = __pyx_PyFloat_AsDouble(op1);
#else
        double a = PyFloat_AS_DOUBLE(op1);
#endif
            double result;
            
            PyFPE_START_PROTECT("multiply", return NULL)
            result = ((double)a) * (double)b;
            PyFPE_END_PROTECT(result)
            return PyFloat_FromDouble(result);
    }
    return (inplace ? PyNumber_InPlaceMultiply : PyNumber_Multiply)(op1, op2);
}
#endif

/* RaiseException */
#if PY_MAJOR_VERSION < 3
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {
    __Pyx_PyThreadState_declare
    CYTHON_UNUSED_VAR(cause);
    Py_XINCREF(type);
    if (!value || value == Py_None)
        value = NULL;
    else
        Py_INCREF(value);
    if (!tb || tb == Py_None)
        tb = NULL;
    else {
        Py_INCREF(tb);
        if (!PyTraceBack_Check(tb)) {
            PyErr_SetString(PyExc_TypeError,
                "raise: arg 3 must be a traceback or None");
            goto raise_error;
        }
    }
    if (PyType_Check(type)) {
#if CYTHON_COMPILING_IN_PYPY
        if (!value) {
            Py_INCREF(Py_None);
            value = Py_None;
        }
#endif
        PyErr_NormalizeException(&type, &value, &tb);
    } else {
        if (value) {
            PyErr_SetString(PyExc_TypeError,
                "instance exception may not have a separate value");
            goto raise_error;
        }
        value = type;
        type = (PyObject*) Py_TYPE(type);
        Py_INCREF(type);
        if (!PyType_IsSubtype((PyTypeObject *)type, (PyTypeObject *)PyExc_BaseException)) {
            PyErr_SetString(PyExc_TypeError,
                "raise: exception class must be a subclass of BaseException");
            goto raise_error;
        }
    }
    __Pyx_PyThreadState_assign
    __Pyx_ErrRestore(type, value, tb);
    return;
raise_error:
    Py_XDECREF(value);
    Py_XDECREF(type);
    Py_XDECREF(tb);
    return;
}
#else
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {
    PyObject* owned_instance = NULL;
    if (tb == Py_None) {
        tb = 0;
    } else if (tb && !PyTraceBack_Check(tb)) {
        PyErr_SetString(PyExc_TypeError,
            "raise: arg 3 must be a traceback or None");
        goto bad;
    }
    if (value == Py_None)
        value = 0;
    if (PyExceptionInstance_Check(type)) {
        if (value) {
            PyErr_SetString(PyExc_TypeError,
                "instance exception may not have a separate value");
            goto bad;
        }
        value = type;
        type = (PyObject*) Py_TYPE(value);
    } else if (PyExceptionClass_Check(type)) {
        PyObject *instance_class = NULL;
        if (value && PyExceptionInstance_Check(value)) {
            instance_class = (PyObject*) Py_TYPE(value);
            if (instance_class != type) {
                int is_subclass = PyObject_IsSubclass(instance_class, type);
                if (!is_subclass) {
                    instance_class = NULL;
                } else if (unlikely(is_subclass == -1)) {
                    goto bad;
                } else {
                    type = instance_class;
                }
            }
        }
        if (!instance_class) {
            PyObject *args;
            if (!value)
                args = PyTuple_New(0);
            else if (PyTuple_Check(value)) {
                Py_INCREF(value);
                args = value;
            } else
                args = PyTuple_Pack(1, value);
            if (!args)
                goto bad;
            owned_instance = PyObject_Call(type, args, NULL);
            Py_DECREF(args);
            if (!owned_instance)
                goto bad;
            value = owned_instance;
            if (!PyExceptionInstance_Check(value)) {
                PyErr_Format(PyExc_TypeError,
                             "calling %R should have returned an instance of "
                             "BaseException, not %R",
                             type, Py_TYPE(value));
                goto bad;
            }
        }
    } else {
        PyErr_SetString(PyExc_TypeError,
            "raise: exception class must be a subclass of BaseException");
        goto bad;
    }
    if (cause) {
        PyObject *fixed_cause;
        if (cause == Py_None) {
            fixed_cause = NULL;
        } else if (PyExceptionClass_Check(cause)) {
            fixed_cause = PyObject_CallObject(cause, NULL);
            if (fixed_cause == NULL)
                goto bad;
        } else if (PyExceptionInstance_Check(cause)) {
            fixed_cause = cause;
            Py_INCREF(fixed_cause);
        } else {
            PyErr_SetString(PyExc_TypeError,
                            "exception causes must derive from "
                            "BaseException");
            goto bad;
        }
        PyException_SetCause(value, fixed_cause);
    }
    PyErr_SetObject(type, value);
    if (tb) {
#if CYTHON_COMPILING_IN_PYPY ||  CYTHON_COMPILING_IN_LIMITED_API
        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

/* RaiseUnexpectedTypeError */
static int
__Pyx_RaiseUnexpectedTypeError(const char *expected, PyObject *obj)
{
    __Pyx_TypeName obj_type_name = __Pyx_PyType_GetName(Py_TYPE(obj));
    PyErr_Format(PyExc_TypeError, "Expected %s, got " __Pyx_FMT_TYPENAME,
                 expected, obj_type_name);
    __Pyx_DECREF_TypeName(obj_type_name);
    return 0;
}

/* PyIntBinop */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_TrueDivideObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check) {
    CYTHON_MAYBE_UNUSED_VAR(intval);
    CYTHON_MAYBE_UNUSED_VAR(inplace);
    CYTHON_UNUSED_VAR(zerodivision_check);
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long a = PyInt_AS_LONG(op1);
        
            if (8 * sizeof(long) <= 53 || likely(labs(a) <= ((PY_LONG_LONG)1 << 53))) {
                return PyFloat_FromDouble((double)a / (double)b);
            }
            return PyInt_Type.tp_as_number->nb_true_divide(op1, op2);
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        const long b = intval;
        long a, x;
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op1);
        if (unlikely(size == 0)) {
        }
        if (likely(__Pyx_sst_abs(size) <= 1)) {
            a = likely(size) ? digits[0] : 0;
            if (size == -1) a = -a;
        } else {
            switch (size) {
                case -2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT && 1 * PyLong_SHIFT < 53) {
                        a = -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                    CYTHON_FALLTHROUGH;
                case 2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT && 1 * PyLong_SHIFT < 53) {
                        a = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                    CYTHON_FALLTHROUGH;
                case -3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT && 2 * PyLong_SHIFT < 53) {
                        a = -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                    CYTHON_FALLTHROUGH;
                case 3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT && 2 * PyLong_SHIFT < 53) {
                        a = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                    CYTHON_FALLTHROUGH;
                case -4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT && 3 * PyLong_SHIFT < 53) {
                        a = -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                    CYTHON_FALLTHROUGH;
                case 4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT && 3 * PyLong_SHIFT < 53) {
                        a = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                    CYTHON_FALLTHROUGH;
                default: return PyLong_Type.tp_as_number->nb_true_divide(op1, op2);
            }
        }
                if ((8 * sizeof(long) <= 53 || likely(labs(a) <= ((PY_LONG_LONG)1 << 53)))
                        || __Pyx_sst_abs(size) <= 52 / PyLong_SHIFT) {
                    return PyFloat_FromDouble((double)a / (double)b);
                }
                return PyLong_Type.tp_as_number->nb_true_divide(op1, op2);
            return PyLong_FromLong(x);
        
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
#if CYTHON_COMPILING_IN_LIMITED_API
        double a = __pyx_PyFloat_AsDouble(op1);
#else
        double a = PyFloat_AS_DOUBLE(op1);
#endif
            double result;
            
            PyFPE_START_PROTECT("divide", return NULL)
            result = ((double)a) / (double)b;
            PyFPE_END_PROTECT(result)
            return PyFloat_FromDouble(result);
    }
    return (inplace ? PyNumber_InPlaceTrueDivide : PyNumber_TrueDivide)(op1, op2);
}
#endif

/* UnicodeConcatInPlace */
# if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
static int
__Pyx_unicode_modifiable(PyObject *unicode)
{
    if (Py_REFCNT(unicode) != 1)
        return 0;
    if (!PyUnicode_CheckExact(unicode))
        return 0;
    if (PyUnicode_CHECK_INTERNED(unicode))
        return 0;
    return 1;
}
static CYTHON_INLINE PyObject *__Pyx_PyUnicode_ConcatInPlaceImpl(PyObject **p_left, PyObject *right
        #if CYTHON_REFNANNY
        , void* __pyx_refnanny
        #endif
    ) {
    PyObject *left = *p_left;
    Py_ssize_t left_len, right_len, new_len;
    if (unlikely(__Pyx_PyUnicode_READY(left) == -1))
        return NULL;
    if (unlikely(__Pyx_PyUnicode_READY(right) == -1))
        return NULL;
    left_len = PyUnicode_GET_LENGTH(left);
    if (left_len == 0) {
        Py_INCREF(right);
        return right;
    }
    right_len = PyUnicode_GET_LENGTH(right);
    if (right_len == 0) {
        Py_INCREF(left);
        return left;
    }
    if (unlikely(left_len > PY_SSIZE_T_MAX - right_len)) {
        PyErr_SetString(PyExc_OverflowError,
                        "strings are too large to concat");
        return NULL;
    }
    new_len = left_len + right_len;
    if (__Pyx_unicode_modifiable(left)
            && PyUnicode_CheckExact(right)
            && PyUnicode_KIND(right) <= PyUnicode_KIND(left)
            && !(PyUnicode_IS_ASCII(left) && !PyUnicode_IS_ASCII(right))) {
        __Pyx_GIVEREF(*p_left);
        if (unlikely(PyUnicode_Resize(p_left, new_len) != 0)) {
            __Pyx_GOTREF(*p_left);
            return NULL;
        }
        __Pyx_INCREF(*p_left);
        _PyUnicode_FastCopyCharacters(*p_left, left_len, right, 0, right_len);
        return *p_left;
    } else {
        return __Pyx_PyUnicode_Concat(left, right);
    }
  }
#endif

/* GetAttr3 */
static PyObject *__Pyx_GetAttr3Default(PyObject *d) {
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    if (unlikely(!__Pyx_PyErr_ExceptionMatches(PyExc_AttributeError)))
        return NULL;
    __Pyx_PyErr_Clear();
    Py_INCREF(d);
    return d;
}
static CYTHON_INLINE PyObject *__Pyx_GetAttr3(PyObject *o, PyObject *n, PyObject *d) {
    PyObject *r;
#if CYTHON_USE_TYPE_SLOTS
    if (likely(PyString_Check(n))) {
        r = __Pyx_PyObject_GetAttrStrNoError(o, n);
        if (unlikely(!r) && likely(!PyErr_Occurred())) {
            r = __Pyx_NewRef(d);
        }
        return r;
    }
#endif
    r = PyObject_GetAttr(o, n);
    return (likely(r)) ? r : __Pyx_GetAttr3Default(d);
}

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

/* ImportFrom */
static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name) {
    PyObject* value = __Pyx_PyObject_GetAttrStr(module, name);
    if (unlikely(!value) && PyErr_ExceptionMatches(PyExc_AttributeError)) {
        const char* module_name_str = 0;
        PyObject* module_name = 0;
        PyObject* module_dot = 0;
        PyObject* full_name = 0;
        PyErr_Clear();
        module_name_str = PyModule_GetName(module);
        if (unlikely(!module_name_str)) { goto modbad; }
        module_name = PyUnicode_FromString(module_name_str);
        if (unlikely(!module_name)) { goto modbad; }
        module_dot = PyUnicode_Concat(module_name, __pyx_kp_u__54);
        if (unlikely(!module_dot)) { goto modbad; }
        full_name = PyUnicode_Concat(module_dot, name);
        if (unlikely(!full_name)) { goto modbad; }
        #if PY_VERSION_HEX < 0x030700A1 || (CYTHON_COMPILING_IN_PYPY && PYPY_VERSION_NUM  < 0x07030400)
        {
            PyObject *modules = PyImport_GetModuleDict();
            if (unlikely(!modules))
                goto modbad;
            value = PyObject_GetItem(modules, full_name);
        }
        #else
        value = PyImport_GetModule(full_name);
        #endif
      modbad:
        Py_XDECREF(full_name);
        Py_XDECREF(module_dot);
        Py_XDECREF(module_name);
    }
    if (unlikely(!value)) {
        PyErr_Format(PyExc_ImportError,
        #if PY_MAJOR_VERSION < 3
            "cannot import name %.230s", PyString_AS_STRING(name));
        #else
            "cannot import name %S", name);
        #endif
    }
    return value;
}

/* GetAttr */
static CYTHON_INLINE PyObject *__Pyx_GetAttr(PyObject *o, PyObject *n) {
#if CYTHON_USE_TYPE_SLOTS
#if PY_MAJOR_VERSION >= 3
    if (likely(PyUnicode_Check(n)))
#else
    if (likely(PyString_Check(n)))
#endif
        return __Pyx_PyObject_GetAttrStr(o, n);
#endif
    return PyObject_GetAttr(o, n);
}

/* HasAttr */
static CYTHON_INLINE int __Pyx_HasAttr(PyObject *o, PyObject *n) {
    PyObject *r;
    if (unlikely(!__Pyx_PyBaseString_Check(n))) {
        PyErr_SetString(PyExc_TypeError,
                        "hasattr(): attribute name must be string");
        return -1;
    }
    r = __Pyx_GetAttr(o, n);
    if (!r) {
        PyErr_Clear();
        return 0;
    } else {
        Py_DECREF(r);
        return 1;
    }
}

/* FixUpExtensionType */
#if CYTHON_USE_TYPE_SPECS
static int __Pyx_fix_up_extension_type_from_spec(PyType_Spec *spec, PyTypeObject *type) {
#if PY_VERSION_HEX > 0x030900B1 || CYTHON_COMPILING_IN_LIMITED_API
    (void) spec;
    (void) type;
#else
    const PyType_Slot *slot = spec->slots;
    while (slot && slot->slot && slot->slot != Py_tp_members)
        slot++;
    if (slot && slot->slot == Py_tp_members) {
        int changed = 0;
#if !(PY_VERSION_HEX <= 0x030900b1 && CYTHON_COMPILING_IN_CPYTHON)
        const
#endif
            PyMemberDef *memb = (PyMemberDef*) slot->pfunc;
        while (memb && memb->name) {
            if (memb->name[0] == '_' && memb->name[1] == '_') {
#if PY_VERSION_HEX < 0x030900b1
                if (strcmp(memb->name, "__weaklistoffset__") == 0) {
                    assert(memb->type == T_PYSSIZET);
                    assert(memb->flags == READONLY);
                    type->tp_weaklistoffset = memb->offset;
                    changed = 1;
                }
                else if (strcmp(memb->name, "__dictoffset__") == 0) {
                    assert(memb->type == T_PYSSIZET);
                    assert(memb->flags == READONLY);
                    type->tp_dictoffset = memb->offset;
                    changed = 1;
                }
#if CYTHON_METH_FASTCALL
                else if (strcmp(memb->name, "__vectorcalloffset__") == 0) {
                    assert(memb->type == T_PYSSIZET);
                    assert(memb->flags == READONLY);
#if PY_VERSION_HEX >= 0x030800b4
                    type->tp_vectorcall_offset = memb->offset;
#else
                    type->tp_print = (printfunc) memb->offset;
#endif
                    changed = 1;
                }
#endif
#else
                if ((0));
#endif
#if PY_VERSION_HEX <= 0x030900b1 && CYTHON_COMPILING_IN_CPYTHON
                else if (strcmp(memb->name, "__module__") == 0) {
                    PyObject *descr;
                    assert(memb->type == T_OBJECT);
                    assert(memb->flags == 0 || memb->flags == READONLY);
                    descr = PyDescr_NewMember(type, memb);
                    if (unlikely(!descr))
                        return -1;
                    if (unlikely(PyDict_SetItem(type->tp_dict, PyDescr_NAME(descr), descr) < 0)) {
                        Py_DECREF(descr);
                        return -1;
                    }
                    Py_DECREF(descr);
                    changed = 1;
                }
#endif
            }
            memb++;
        }
        if (changed)
            PyType_Modified(type);
    }
#endif
    return 0;
}
#endif

/* PyObjectGetMethod */
static int __Pyx_PyObject_GetMethod(PyObject *obj, PyObject *name, PyObject **method) {
    PyObject *attr;
#if CYTHON_UNPACK_METHODS && CYTHON_COMPILING_IN_CPYTHON && CYTHON_USE_PYTYPE_LOOKUP
    __Pyx_TypeName type_name;
    PyTypeObject *tp = Py_TYPE(obj);
    PyObject *descr;
    descrgetfunc f = NULL;
    PyObject **dictptr, *dict;
    int meth_found = 0;
    assert (*method == NULL);
    if (unlikely(tp->tp_getattro != PyObject_GenericGetAttr)) {
        attr = __Pyx_PyObject_GetAttrStr(obj, name);
        goto try_unpack;
    }
    if (unlikely(tp->tp_dict == NULL) && unlikely(PyType_Ready(tp) < 0)) {
        return 0;
    }
    descr = _PyType_Lookup(tp, name);
    if (likely(descr != NULL)) {
        Py_INCREF(descr);
#if defined(Py_TPFLAGS_METHOD_DESCRIPTOR) && Py_TPFLAGS_METHOD_DESCRIPTOR
        if (__Pyx_PyType_HasFeature(Py_TYPE(descr), Py_TPFLAGS_METHOD_DESCRIPTOR))
#elif PY_MAJOR_VERSION >= 3
        #ifdef __Pyx_CyFunction_USED
        if (likely(PyFunction_Check(descr) || __Pyx_IS_TYPE(descr, &PyMethodDescr_Type) || __Pyx_CyFunction_Check(descr)))
        #else
        if (likely(PyFunction_Check(descr) || __Pyx_IS_TYPE(descr, &PyMethodDescr_Type)))
        #endif
#else
        #ifdef __Pyx_CyFunction_USED
        if (likely(PyFunction_Check(descr) || __Pyx_CyFunction_Check(descr)))
        #else
        if (likely(PyFunction_Check(descr)))
        #endif
#endif
        {
            meth_found = 1;
        } else {
            f = Py_TYPE(descr)->tp_descr_get;
            if (f != NULL && PyDescr_IsData(descr)) {
                attr = f(descr, obj, (PyObject *)Py_TYPE(obj));
                Py_DECREF(descr);
                goto try_unpack;
            }
        }
    }
    dictptr = _PyObject_GetDictPtr(obj);
    if (dictptr != NULL && (dict = *dictptr) != NULL) {
        Py_INCREF(dict);
        attr = __Pyx_PyDict_GetItemStr(dict, name);
        if (attr != NULL) {
            Py_INCREF(attr);
            Py_DECREF(dict);
            Py_XDECREF(descr);
            goto try_unpack;
        }
        Py_DECREF(dict);
    }
    if (meth_found) {
        *method = descr;
        return 1;
    }
    if (f != NULL) {
        attr = f(descr, obj, (PyObject *)Py_TYPE(obj));
        Py_DECREF(descr);
        goto try_unpack;
    }
    if (likely(descr != NULL)) {
        *method = descr;
        return 0;
    }
    type_name = __Pyx_PyType_GetName(tp);
    PyErr_Format(PyExc_AttributeError,
#if PY_MAJOR_VERSION >= 3
                 "'" __Pyx_FMT_TYPENAME "' object has no attribute '%U'",
                 type_name, name);
#else
                 "'" __Pyx_FMT_TYPENAME "' object has no attribute '%.400s'",
                 type_name, PyString_AS_STRING(name));
#endif
    __Pyx_DECREF_TypeName(type_name);
    return 0;
#else
    attr = __Pyx_PyObject_GetAttrStr(obj, name);
    goto try_unpack;
#endif
try_unpack:
#if CYTHON_UNPACK_METHODS
    if (likely(attr) && PyMethod_Check(attr) && likely(PyMethod_GET_SELF(attr) == obj)) {
        PyObject *function = PyMethod_GET_FUNCTION(attr);
        Py_INCREF(function);
        Py_DECREF(attr);
        *method = function;
        return 1;
    }
#endif
    *method = attr;
    return 0;
}

/* PyObjectCallMethod0 */
static PyObject* __Pyx_PyObject_CallMethod0(PyObject* obj, PyObject* method_name) {
    PyObject *method = NULL, *result = NULL;
    int is_method = __Pyx_PyObject_GetMethod(obj, method_name, &method);
    if (likely(is_method)) {
        result = __Pyx_PyObject_CallOneArg(method, obj);
        Py_DECREF(method);
        return result;
    }
    if (unlikely(!method)) goto bad;
    result = __Pyx_PyObject_CallNoArg(method);
    Py_DECREF(method);
bad:
    return result;
}

/* ValidateBasesTuple */
#if CYTHON_COMPILING_IN_CPYTHON || CYTHON_COMPILING_IN_LIMITED_API || CYTHON_USE_TYPE_SPECS
static int __Pyx_validate_bases_tuple(const char *type_name, Py_ssize_t dictoffset, PyObject *bases) {
    Py_ssize_t i, n = PyTuple_GET_SIZE(bases);
    for (i = 1; i < n; i++)
    {
        PyObject *b0 = PyTuple_GET_ITEM(bases, i);
        PyTypeObject *b;
#if PY_MAJOR_VERSION < 3
        if (PyClass_Check(b0))
        {
            PyErr_Format(PyExc_TypeError, "base class '%.200s' is an old-style class",
                         PyString_AS_STRING(((PyClassObject*)b0)->cl_name));
            return -1;
        }
#endif
        b = (PyTypeObject*) b0;
        if (!__Pyx_PyType_HasFeature(b, Py_TPFLAGS_HEAPTYPE))
        {
            __Pyx_TypeName b_name = __Pyx_PyType_GetName(b);
            PyErr_Format(PyExc_TypeError,
                "base class '" __Pyx_FMT_TYPENAME "' is not a heap type", b_name);
            __Pyx_DECREF_TypeName(b_name);
            return -1;
        }
        if (dictoffset == 0 && b->tp_dictoffset)
        {
            __Pyx_TypeName b_name = __Pyx_PyType_GetName(b);
            PyErr_Format(PyExc_TypeError,
                "extension type '%.200s' has no __dict__ slot, "
                "but base type '" __Pyx_FMT_TYPENAME "' has: "
                "either add 'cdef dict __dict__' to the extension type "
                "or add '__slots__ = [...]' to the base type",
                type_name, b_name);
            __Pyx_DECREF_TypeName(b_name);
            return -1;
        }
    }
    return 0;
}
#endif

/* PyType_Ready */
static int __Pyx_PyType_Ready(PyTypeObject *t) {
#if CYTHON_USE_TYPE_SPECS || !(CYTHON_COMPILING_IN_CPYTHON || CYTHON_COMPILING_IN_LIMITED_API) || defined(PYSTON_MAJOR_VERSION)
    (void)__Pyx_PyObject_CallMethod0;
#if CYTHON_USE_TYPE_SPECS
    (void)__Pyx_validate_bases_tuple;
#endif
    return PyType_Ready(t);
#else
    int r;
    PyObject *bases = __Pyx_PyType_GetSlot(t, tp_bases, PyObject*);
    if (bases && unlikely(__Pyx_validate_bases_tuple(t->tp_name, t->tp_dictoffset, bases) == -1))
        return -1;
#if PY_VERSION_HEX >= 0x03050000 && !defined(PYSTON_MAJOR_VERSION)
    {
        int gc_was_enabled;
    #if PY_VERSION_HEX >= 0x030A00b1
        gc_was_enabled = PyGC_Disable();
        (void)__Pyx_PyObject_CallMethod0;
    #else
        PyObject *ret, *py_status;
        PyObject *gc = NULL;
        #if PY_VERSION_HEX >= 0x030700a1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM+0 >= 0x07030400)
        gc = PyImport_GetModule(__pyx_kp_u_gc);
        #endif
        if (unlikely(!gc)) gc = PyImport_Import(__pyx_kp_u_gc);
        if (unlikely(!gc)) return -1;
        py_status = __Pyx_PyObject_CallMethod0(gc, __pyx_kp_u_isenabled);
        if (unlikely(!py_status)) {
            Py_DECREF(gc);
            return -1;
        }
        gc_was_enabled = __Pyx_PyObject_IsTrue(py_status);
        Py_DECREF(py_status);
        if (gc_was_enabled > 0) {
            ret = __Pyx_PyObject_CallMethod0(gc, __pyx_kp_u_disable);
            if (unlikely(!ret)) {
                Py_DECREF(gc);
                return -1;
            }
            Py_DECREF(ret);
        } else if (unlikely(gc_was_enabled == -1)) {
            Py_DECREF(gc);
            return -1;
        }
    #endif
        t->tp_flags |= Py_TPFLAGS_HEAPTYPE;
#else
        (void)__Pyx_PyObject_CallMethod0;
#endif
    r = PyType_Ready(t);
#if PY_VERSION_HEX >= 0x03050000 && !defined(PYSTON_MAJOR_VERSION)
        t->tp_flags &= ~Py_TPFLAGS_HEAPTYPE;
    #if PY_VERSION_HEX >= 0x030A00b1
        if (gc_was_enabled)
            PyGC_Enable();
    #else
        if (gc_was_enabled) {
            PyObject *tp, *v, *tb;
            PyErr_Fetch(&tp, &v, &tb);
            ret = __Pyx_PyObject_CallMethod0(gc, __pyx_kp_u_enable);
            if (likely(ret || r == -1)) {
                Py_XDECREF(ret);
                PyErr_Restore(tp, v, tb);
            } else {
                Py_XDECREF(tp);
                Py_XDECREF(v);
                Py_XDECREF(tb);
                r = -1;
            }
        }
        Py_DECREF(gc);
    #endif
    }
#endif
    return r;
#endif
}

/* PyObject_GenericGetAttrNoDict */
#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
static PyObject *__Pyx_RaiseGenericGetAttributeError(PyTypeObject *tp, PyObject *attr_name) {
    __Pyx_TypeName type_name = __Pyx_PyType_GetName(tp);
    PyErr_Format(PyExc_AttributeError,
#if PY_MAJOR_VERSION >= 3
                 "'" __Pyx_FMT_TYPENAME "' object has no attribute '%U'",
                 type_name, attr_name);
#else
                 "'" __Pyx_FMT_TYPENAME "' object has no attribute '%.400s'",
                 type_name, PyString_AS_STRING(attr_name));
#endif
    __Pyx_DECREF_TypeName(type_name);
    return NULL;
}
static CYTHON_INLINE PyObject* __Pyx_PyObject_GenericGetAttrNoDict(PyObject* obj, PyObject* attr_name) {
    PyObject *descr;
    PyTypeObject *tp = Py_TYPE(obj);
    if (unlikely(!PyString_Check(attr_name))) {
        return PyObject_GenericGetAttr(obj, attr_name);
    }
    assert(!tp->tp_dictoffset);
    descr = _PyType_Lookup(tp, attr_name);
    if (unlikely(!descr)) {
        return __Pyx_RaiseGenericGetAttributeError(tp, attr_name);
    }
    Py_INCREF(descr);
    #if PY_MAJOR_VERSION < 3
    if (likely(PyType_HasFeature(Py_TYPE(descr), Py_TPFLAGS_HAVE_CLASS)))
    #endif
    {
        descrgetfunc f = Py_TYPE(descr)->tp_descr_get;
        if (unlikely(f)) {
            PyObject *res = f(descr, obj, (PyObject *)tp);
            Py_DECREF(descr);
            return res;
        }
    }
    return descr;
}
#endif

/* PyObject_GenericGetAttr */
#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
static PyObject* __Pyx_PyObject_GenericGetAttr(PyObject* obj, PyObject* attr_name) {
    if (unlikely(Py_TYPE(obj)->tp_dictoffset)) {
        return PyObject_GenericGetAttr(obj, attr_name);
    }
    return __Pyx_PyObject_GenericGetAttrNoDict(obj, attr_name);
}
#endif

/* SetupReduce */
#if !CYTHON_COMPILING_IN_LIMITED_API
static int __Pyx_setup_reduce_is_named(PyObject* meth, PyObject* name) {
  int ret;
  PyObject *name_attr;
  name_attr = __Pyx_PyObject_GetAttrStrNoError(meth, __pyx_n_s_name);
  if (likely(name_attr)) {
      ret = PyObject_RichCompareBool(name_attr, name, Py_EQ);
  } else {
      ret = -1;
  }
  if (unlikely(ret < 0)) {
      PyErr_Clear();
      ret = 0;
  }
  Py_XDECREF(name_attr);
  return ret;
}
static int __Pyx_setup_reduce(PyObject* type_obj) {
    int ret = 0;
    PyObject *object_reduce = NULL;
    PyObject *object_getstate = NULL;
    PyObject *object_reduce_ex = NULL;
    PyObject *reduce = NULL;
    PyObject *reduce_ex = NULL;
    PyObject *reduce_cython = NULL;
    PyObject *setstate = NULL;
    PyObject *setstate_cython = NULL;
    PyObject *getstate = NULL;
#if CYTHON_USE_PYTYPE_LOOKUP
    getstate = _PyType_Lookup((PyTypeObject*)type_obj, __pyx_n_s_getstate);
#else
    getstate = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_n_s_getstate);
    if (!getstate && PyErr_Occurred()) {
        goto __PYX_BAD;
    }
#endif
    if (getstate) {
#if CYTHON_USE_PYTYPE_LOOKUP
        object_getstate = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_getstate);
#else
        object_getstate = __Pyx_PyObject_GetAttrStrNoError((PyObject*)&PyBaseObject_Type, __pyx_n_s_getstate);
        if (!object_getstate && PyErr_Occurred()) {
            goto __PYX_BAD;
        }
#endif
        if (object_getstate != getstate) {
            goto __PYX_GOOD;
        }
    }
#if CYTHON_USE_PYTYPE_LOOKUP
    object_reduce_ex = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_reduce_ex); if (!object_reduce_ex) goto __PYX_BAD;
#else
    object_reduce_ex = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce_ex); if (!object_reduce_ex) goto __PYX_BAD;
#endif
    reduce_ex = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce_ex); if (unlikely(!reduce_ex)) goto __PYX_BAD;
    if (reduce_ex == object_reduce_ex) {
#if CYTHON_USE_PYTYPE_LOOKUP
        object_reduce = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_reduce); if (!object_reduce) goto __PYX_BAD;
#else
        object_reduce = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce); if (!object_reduce) goto __PYX_BAD;
#endif
        reduce = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce); if (unlikely(!reduce)) goto __PYX_BAD;
        if (reduce == object_reduce || __Pyx_setup_reduce_is_named(reduce, __pyx_n_s_reduce_cython)) {
            reduce_cython = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_n_s_reduce_cython);
            if (likely(reduce_cython)) {
                ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce, reduce_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
                ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
            } else if (reduce == object_reduce || PyErr_Occurred()) {
                goto __PYX_BAD;
            }
            setstate = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_n_s_setstate);
            if (!setstate) PyErr_Clear();
            if (!setstate || __Pyx_setup_reduce_is_named(setstate, __pyx_n_s_setstate_cython)) {
                setstate_cython = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_n_s_setstate_cython);
                if (likely(setstate_cython)) {
                    ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate, setstate_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
                    ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
                } else if (!setstate || PyErr_Occurred()) {
                    goto __PYX_BAD;
                }
            }
            PyType_Modified((PyTypeObject*)type_obj);
        }
    }
    goto __PYX_GOOD;
__PYX_BAD:
    if (!PyErr_Occurred()) {
        __Pyx_TypeName type_obj_name =
            __Pyx_PyType_GetName((PyTypeObject*)type_obj);
        PyErr_Format(PyExc_RuntimeError,
            "Unable to initialize pickling for " __Pyx_FMT_TYPENAME, type_obj_name);
        __Pyx_DECREF_TypeName(type_obj_name);
    }
    ret = -1;
__PYX_GOOD:
#if !CYTHON_USE_PYTYPE_LOOKUP
    Py_XDECREF(object_reduce);
    Py_XDECREF(object_reduce_ex);
    Py_XDECREF(object_getstate);
    Py_XDECREF(getstate);
#endif
    Py_XDECREF(reduce);
    Py_XDECREF(reduce_ex);
    Py_XDECREF(reduce_cython);
    Py_XDECREF(setstate);
    Py_XDECREF(setstate_cython);
    return ret;
}
#endif

/* ImportDottedModule */
#if PY_MAJOR_VERSION >= 3
static PyObject *__Pyx__ImportDottedModule_Error(PyObject *name, PyObject *parts_tuple, Py_ssize_t count) {
    PyObject *partial_name = NULL, *slice = NULL, *sep = NULL;
    if (unlikely(PyErr_Occurred())) {
        PyErr_Clear();
    }
    if (likely(PyTuple_GET_SIZE(parts_tuple) == count)) {
        partial_name = name;
    } else {
        slice = PySequence_GetSlice(parts_tuple, 0, count);
        if (unlikely(!slice))
            goto bad;
        sep = PyUnicode_FromStringAndSize(".", 1);
        if (unlikely(!sep))
            goto bad;
        partial_name = PyUnicode_Join(sep, slice);
    }
    PyErr_Format(
#if PY_MAJOR_VERSION < 3
        PyExc_ImportError,
        "No module named '%s'", PyString_AS_STRING(partial_name));
#else
#if PY_VERSION_HEX >= 0x030600B1
        PyExc_ModuleNotFoundError,
#else
        PyExc_ImportError,
#endif
        "No module named '%U'", partial_name);
#endif
bad:
    Py_XDECREF(sep);
    Py_XDECREF(slice);
    Py_XDECREF(partial_name);
    return NULL;
}
#endif
#if PY_MAJOR_VERSION >= 3
static PyObject *__Pyx__ImportDottedModule_Lookup(PyObject *name) {
    PyObject *imported_module;
#if PY_VERSION_HEX < 0x030700A1 || (CYTHON_COMPILING_IN_PYPY && PYPY_VERSION_NUM  < 0x07030400)
    PyObject *modules = PyImport_GetModuleDict();
    if (unlikely(!modules))
        return NULL;
    imported_module = __Pyx_PyDict_GetItemStr(modules, name);
    Py_XINCREF(imported_module);
#else
    imported_module = PyImport_GetModule(name);
#endif
    return imported_module;
}
#endif
static PyObject *__Pyx__ImportDottedModule(PyObject *name, PyObject *parts_tuple) {
#if PY_MAJOR_VERSION < 3
    PyObject *module, *from_list, *star = __pyx_n_s__55;
    CYTHON_UNUSED_VAR(parts_tuple);
    from_list = PyList_New(1);
    if (unlikely(!from_list))
        return NULL;
    Py_INCREF(star);
    PyList_SET_ITEM(from_list, 0, star);
    module = __Pyx_Import(name, from_list, 0);
    Py_DECREF(from_list);
    return module;
#else
    Py_ssize_t i, nparts;
    PyObject *imported_module;
    PyObject *module = __Pyx_Import(name, NULL, 0);
    if (!parts_tuple || unlikely(!module))
        return module;
    imported_module = __Pyx__ImportDottedModule_Lookup(name);
    if (likely(imported_module)) {
        Py_DECREF(module);
        return imported_module;
    }
    PyErr_Clear();
    nparts = PyTuple_GET_SIZE(parts_tuple);
    for (i=1; i < nparts && module; i++) {
        PyObject *part, *submodule;
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
        part = PyTuple_GET_ITEM(parts_tuple, i);
#else
        part = PySequence_ITEM(parts_tuple, i);
#endif
        submodule = __Pyx_PyObject_GetAttrStrNoError(module, part);
#if !(CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)
        Py_DECREF(part);
#endif
        Py_DECREF(module);
        module = submodule;
    }
    if (likely(module))
        return module;
    return __Pyx__ImportDottedModule_Error(name, parts_tuple, i);
#endif
}
static PyObject *__Pyx_ImportDottedModule(PyObject *name, PyObject *parts_tuple) {
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030400B1
    PyObject *module = __Pyx__ImportDottedModule_Lookup(name);
    if (likely(module)) {
        PyObject *spec = __Pyx_PyObject_GetAttrStrNoError(module, __pyx_n_s_spec);
        if (likely(spec)) {
            PyObject *unsafe = __Pyx_PyObject_GetAttrStrNoError(spec, __pyx_n_s_initializing);
            if (likely(!unsafe || !__Pyx_PyObject_IsTrue(unsafe))) {
                Py_DECREF(spec);
                spec = NULL;
            }
            Py_XDECREF(unsafe);
        }
        if (likely(!spec)) {
            PyErr_Clear();
            return module;
        }
        Py_DECREF(spec);
        Py_DECREF(module);
    } else if (PyErr_Occurred()) {
        PyErr_Clear();
    }
#endif
    return __Pyx__ImportDottedModule(name, parts_tuple);
}

/* FetchSharedCythonModule */
static PyObject *__Pyx_FetchSharedCythonABIModule(void) {
    PyObject *abi_module = PyImport_AddModule((char*) __PYX_ABI_MODULE_NAME);
    if (unlikely(!abi_module)) return NULL;
    Py_INCREF(abi_module);
    return abi_module;
}

/* FetchCommonType */
static int __Pyx_VerifyCachedType(PyObject *cached_type,
                               const char *name,
                               Py_ssize_t basicsize,
                               Py_ssize_t expected_basicsize) {
    if (!PyType_Check(cached_type)) {
        PyErr_Format(PyExc_TypeError,
            "Shared Cython type %.200s is not a type object", name);
        return -1;
    }
    if (basicsize != expected_basicsize) {
        PyErr_Format(PyExc_TypeError,
            "Shared Cython type %.200s has the wrong size, try recompiling",
            name);
        return -1;
    }
    return 0;
}
#if !CYTHON_USE_TYPE_SPECS
static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type) {
    PyObject* abi_module;
    const char* object_name;
    PyTypeObject *cached_type = NULL;
    abi_module = __Pyx_FetchSharedCythonABIModule();
    if (!abi_module) return NULL;
    object_name = strrchr(type->tp_name, '.');
    object_name = object_name ? object_name+1 : type->tp_name;
    cached_type = (PyTypeObject*) PyObject_GetAttrString(abi_module, object_name);
    if (cached_type) {
        if (__Pyx_VerifyCachedType(
              (PyObject *)cached_type,
              object_name,
              cached_type->tp_basicsize,
              type->tp_basicsize) < 0) {
            goto bad;
        }
        goto done;
    }
    if (!PyErr_ExceptionMatches(PyExc_AttributeError)) goto bad;
    PyErr_Clear();
    if (PyType_Ready(type) < 0) goto bad;
    if (PyObject_SetAttrString(abi_module, object_name, (PyObject *)type) < 0)
        goto bad;
    Py_INCREF(type);
    cached_type = type;
done:
    Py_DECREF(abi_module);
    return cached_type;
bad:
    Py_XDECREF(cached_type);
    cached_type = NULL;
    goto done;
}
#else
static PyTypeObject *__Pyx_FetchCommonTypeFromSpec(PyObject *module, PyType_Spec *spec, PyObject *bases) {
    PyObject *abi_module, *cached_type = NULL;
    const char* object_name = strrchr(spec->name, '.');
    object_name = object_name ? object_name+1 : spec->name;
    abi_module = __Pyx_FetchSharedCythonABIModule();
    if (!abi_module) return NULL;
    cached_type = PyObject_GetAttrString(abi_module, object_name);
    if (cached_type) {
        Py_ssize_t basicsize;
#if CYTHON_COMPILING_IN_LIMITED_API
        PyObject *py_basicsize;
        py_basicsize = PyObject_GetAttrString(cached_type, "__basicsize__");
        if (unlikely(!py_basicsize)) goto bad;
        basicsize = PyLong_AsSsize_t(py_basicsize);
        Py_DECREF(py_basicsize);
        py_basicsize = 0;
        if (unlikely(basicsize == (Py_ssize_t)-1) && PyErr_Occurred()) goto bad;
#else
        basicsize = likely(PyType_Check(cached_type)) ? ((PyTypeObject*) cached_type)->tp_basicsize : -1;
#endif
        if (__Pyx_VerifyCachedType(
              cached_type,
              object_name,
              basicsize,
              spec->basicsize) < 0) {
            goto bad;
        }
        goto done;
    }
    if (!PyErr_ExceptionMatches(PyExc_AttributeError)) goto bad;
    PyErr_Clear();
    (void) module;
    cached_type = __Pyx_PyType_FromModuleAndSpec(abi_module, spec, bases);
    if (unlikely(!cached_type)) goto bad;
    if (unlikely(__Pyx_fix_up_extension_type_from_spec(spec, (PyTypeObject *) cached_type) < 0)) goto bad;
    if (PyObject_SetAttrString(abi_module, object_name, cached_type) < 0) goto bad;
done:
    Py_DECREF(abi_module);
    assert(cached_type == NULL || PyType_Check(cached_type));
    return (PyTypeObject *) cached_type;
bad:
    Py_XDECREF(cached_type);
    cached_type = NULL;
    goto done;
}
#endif

/* PyVectorcallFastCallDict */
#if CYTHON_METH_FASTCALL
static PyObject *__Pyx_PyVectorcall_FastCallDict_kw(PyObject *func, __pyx_vectorcallfunc vc, PyObject *const *args, size_t nargs, PyObject *kw)
{
    PyObject *res = NULL;
    PyObject *kwnames;
    PyObject **newargs;
    PyObject **kwvalues;
    Py_ssize_t i, pos;
    size_t j;
    PyObject *key, *value;
    unsigned long keys_are_strings;
    Py_ssize_t nkw = PyDict_GET_SIZE(kw);
    newargs = (PyObject **)PyMem_Malloc((nargs + (size_t)nkw) * sizeof(args[0]));
    if (unlikely(newargs == NULL)) {
        PyErr_NoMemory();
        return NULL;
    }
    for (j = 0; j < nargs; j++) newargs[j] = args[j];
    kwnames = PyTuple_New(nkw);
    if (unlikely(kwnames == NULL)) {
        PyMem_Free(newargs);
        return NULL;
    }
    kwvalues = newargs + nargs;
    pos = i = 0;
    keys_are_strings = Py_TPFLAGS_UNICODE_SUBCLASS;
    while (PyDict_Next(kw, &pos, &key, &value)) {
        keys_are_strings &= Py_TYPE(key)->tp_flags;
        Py_INCREF(key);
        Py_INCREF(value);
        PyTuple_SET_ITEM(kwnames, i, key);
        kwvalues[i] = value;
        i++;
    }
    if (unlikely(!keys_are_strings)) {
        PyErr_SetString(PyExc_TypeError, "keywords must be strings");
        goto cleanup;
    }
    res = vc(func, newargs, nargs, kwnames);
cleanup:
    Py_DECREF(kwnames);
    for (i = 0; i < nkw; i++)
        Py_DECREF(kwvalues[i]);
    PyMem_Free(newargs);
    return res;
}
static CYTHON_INLINE PyObject *__Pyx_PyVectorcall_FastCallDict(PyObject *func, __pyx_vectorcallfunc vc, PyObject *const *args, size_t nargs, PyObject *kw)
{
    if (likely(kw == NULL) || PyDict_GET_SIZE(kw) == 0) {
        return vc(func, args, nargs, NULL);
    }
    return __Pyx_PyVectorcall_FastCallDict_kw(func, vc, args, nargs, kw);
}
#endif

/* CythonFunctionShared */
static CYTHON_INLINE void __Pyx__CyFunction_SetClassObj(__pyx_CyFunctionObject* f, PyObject* classobj) {
#if PY_VERSION_HEX < 0x030900B1
    __Pyx_Py_XDECREF_SET(
        __Pyx_CyFunction_GetClassObj(f),
            ((classobj) ? __Pyx_NewRef(classobj) : NULL));
#else
    __Pyx_Py_XDECREF_SET(
        ((PyCMethodObject *) (f))->mm_class,
        (PyTypeObject*)((classobj) ? __Pyx_NewRef(classobj) : NULL));
#endif
}
static PyObject *
__Pyx_CyFunction_get_doc(__pyx_CyFunctionObject *op, void *closure)
{
    CYTHON_UNUSED_VAR(closure);
    if (unlikely(op->func_doc == NULL)) {
        if (((PyCFunctionObject*)op)->m_ml->ml_doc) {
#if PY_MAJOR_VERSION >= 3
            op->func_doc = PyUnicode_FromString(((PyCFunctionObject*)op)->m_ml->ml_doc);
#else
            op->func_doc = PyString_FromString(((PyCFunctionObject*)op)->m_ml->ml_doc);
#endif
            if (unlikely(op->func_doc == NULL))
                return NULL;
        } else {
            Py_INCREF(Py_None);
            return Py_None;
        }
    }
    Py_INCREF(op->func_doc);
    return op->func_doc;
}
static int
__Pyx_CyFunction_set_doc(__pyx_CyFunctionObject *op, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
    if (value == NULL) {
        value = Py_None;
    }
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(op->func_doc, value);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_name(__pyx_CyFunctionObject *op, void *context)
{
    CYTHON_UNUSED_VAR(context);
    if (unlikely(op->func_name == NULL)) {
#if PY_MAJOR_VERSION >= 3
        op->func_name = PyUnicode_InternFromString(((PyCFunctionObject*)op)->m_ml->ml_name);
#else
        op->func_name = PyString_InternFromString(((PyCFunctionObject*)op)->m_ml->ml_name);
#endif
        if (unlikely(op->func_name == NULL))
            return NULL;
    }
    Py_INCREF(op->func_name);
    return op->func_name;
}
static int
__Pyx_CyFunction_set_name(__pyx_CyFunctionObject *op, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
#if PY_MAJOR_VERSION >= 3
    if (unlikely(value == NULL || !PyUnicode_Check(value)))
#else
    if (unlikely(value == NULL || !PyString_Check(value)))
#endif
    {
        PyErr_SetString(PyExc_TypeError,
                        "__name__ must be set to a string object");
        return -1;
    }
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(op->func_name, value);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_qualname(__pyx_CyFunctionObject *op, void *context)
{
    CYTHON_UNUSED_VAR(context);
    Py_INCREF(op->func_qualname);
    return op->func_qualname;
}
static int
__Pyx_CyFunction_set_qualname(__pyx_CyFunctionObject *op, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
#if PY_MAJOR_VERSION >= 3
    if (unlikely(value == NULL || !PyUnicode_Check(value)))
#else
    if (unlikely(value == NULL || !PyString_Check(value)))
#endif
    {
        PyErr_SetString(PyExc_TypeError,
                        "__qualname__ must be set to a string object");
        return -1;
    }
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(op->func_qualname, value);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_dict(__pyx_CyFunctionObject *op, void *context)
{
    CYTHON_UNUSED_VAR(context);
    if (unlikely(op->func_dict == NULL)) {
        op->func_dict = PyDict_New();
        if (unlikely(op->func_dict == NULL))
            return NULL;
    }
    Py_INCREF(op->func_dict);
    return op->func_dict;
}
static int
__Pyx_CyFunction_set_dict(__pyx_CyFunctionObject *op, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
    if (unlikely(value == NULL)) {
        PyErr_SetString(PyExc_TypeError,
               "function's dictionary may not be deleted");
        return -1;
    }
    if (unlikely(!PyDict_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
               "setting function's dictionary to a non-dict");
        return -1;
    }
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(op->func_dict, value);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_globals(__pyx_CyFunctionObject *op, void *context)
{
    CYTHON_UNUSED_VAR(context);
    Py_INCREF(op->func_globals);
    return op->func_globals;
}
static PyObject *
__Pyx_CyFunction_get_closure(__pyx_CyFunctionObject *op, void *context)
{
    CYTHON_UNUSED_VAR(op);
    CYTHON_UNUSED_VAR(context);
    Py_INCREF(Py_None);
    return Py_None;
}
static PyObject *
__Pyx_CyFunction_get_code(__pyx_CyFunctionObject *op, void *context)
{
    PyObject* result = (op->func_code) ? op->func_code : Py_None;
    CYTHON_UNUSED_VAR(context);
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_init_defaults(__pyx_CyFunctionObject *op) {
    int result = 0;
    PyObject *res = op->defaults_getter((PyObject *) op);
    if (unlikely(!res))
        return -1;
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    op->defaults_tuple = PyTuple_GET_ITEM(res, 0);
    Py_INCREF(op->defaults_tuple);
    op->defaults_kwdict = PyTuple_GET_ITEM(res, 1);
    Py_INCREF(op->defaults_kwdict);
    #else
    op->defaults_tuple = 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, void *context) {
    CYTHON_UNUSED_VAR(context);
    if (!value) {
        value = Py_None;
    } else if (unlikely(value != Py_None && !PyTuple_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__defaults__ must be set to a tuple object");
        return -1;
    }
    PyErr_WarnEx(PyExc_RuntimeWarning, "changes to cyfunction.__defaults__ will not "
                 "currently affect the values used in function calls", 1);
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(op->defaults_tuple, value);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_defaults(__pyx_CyFunctionObject *op, void *context) {
    PyObject* result = op->defaults_tuple;
    CYTHON_UNUSED_VAR(context);
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (unlikely(__Pyx_CyFunction_init_defaults(op) < 0)) return NULL;
            result = op->defaults_tuple;
        } else {
            result = Py_None;
        }
    }
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_set_kwdefaults(__pyx_CyFunctionObject *op, PyObject* value, void *context) {
    CYTHON_UNUSED_VAR(context);
    if (!value) {
        value = Py_None;
    } else if (unlikely(value != Py_None && !PyDict_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__kwdefaults__ must be set to a dict object");
        return -1;
    }
    PyErr_WarnEx(PyExc_RuntimeWarning, "changes to cyfunction.__kwdefaults__ will not "
                 "currently affect the values used in function calls", 1);
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(op->defaults_kwdict, value);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_kwdefaults(__pyx_CyFunctionObject *op, void *context) {
    PyObject* result = op->defaults_kwdict;
    CYTHON_UNUSED_VAR(context);
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (unlikely(__Pyx_CyFunction_init_defaults(op) < 0)) return NULL;
            result = op->defaults_kwdict;
        } else {
            result = Py_None;
        }
    }
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_set_annotations(__pyx_CyFunctionObject *op, PyObject* value, void *context) {
    CYTHON_UNUSED_VAR(context);
    if (!value || value == Py_None) {
        value = NULL;
    } else if (unlikely(!PyDict_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__annotations__ must be set to a dict object");
        return -1;
    }
    Py_XINCREF(value);
    __Pyx_Py_XDECREF_SET(op->func_annotations, value);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_annotations(__pyx_CyFunctionObject *op, void *context) {
    PyObject* result = op->func_annotations;
    CYTHON_UNUSED_VAR(context);
    if (unlikely(!result)) {
        result = PyDict_New();
        if (unlikely(!result)) return NULL;
        op->func_annotations = result;
    }
    Py_INCREF(result);
    return result;
}
static PyObject *
__Pyx_CyFunction_get_is_coroutine(__pyx_CyFunctionObject *op, void *context) {
    int is_coroutine;
    CYTHON_UNUSED_VAR(context);
    if (op->func_is_coroutine) {
        return __Pyx_NewRef(op->func_is_coroutine);
    }
    is_coroutine = op->flags & __Pyx_CYFUNCTION_COROUTINE;
#if PY_VERSION_HEX >= 0x03050000
    if (is_coroutine) {
        PyObject *module, *fromlist, *marker = __pyx_n_s_is_coroutine;
        fromlist = PyList_New(1);
        if (unlikely(!fromlist)) return NULL;
        Py_INCREF(marker);
        PyList_SET_ITEM(fromlist, 0, marker);
        module = PyImport_ImportModuleLevelObject(__pyx_n_s_asyncio_coroutines, NULL, NULL, fromlist, 0);
        Py_DECREF(fromlist);
        if (unlikely(!module)) goto ignore;
        op->func_is_coroutine = __Pyx_PyObject_GetAttrStr(module, marker);
        Py_DECREF(module);
        if (likely(op->func_is_coroutine)) {
            return __Pyx_NewRef(op->func_is_coroutine);
        }
ignore:
        PyErr_Clear();
    }
#endif
    op->func_is_coroutine = __Pyx_PyBool_FromLong(is_coroutine);
    return __Pyx_NewRef(op->func_is_coroutine);
}
static PyGetSetDef __pyx_CyFunction_getsets[] = {
    {(char *) "func_doc", (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {(char *) "__doc__",  (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {(char *) "func_name", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {(char *) "__name__", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {(char *) "__qualname__", (getter)__Pyx_CyFunction_get_qualname, (setter)__Pyx_CyFunction_set_qualname, 0, 0},
    {(char *) "func_dict", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},
    {(char *) "__dict__", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},
    {(char *) "func_globals", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {(char *) "__globals__", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {(char *) "func_closure", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {(char *) "__closure__", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {(char *) "func_code", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {(char *) "__code__", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {(char *) "func_defaults", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {(char *) "__defaults__", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {(char *) "__kwdefaults__", (getter)__Pyx_CyFunction_get_kwdefaults, (setter)__Pyx_CyFunction_set_kwdefaults, 0, 0},
    {(char *) "__annotations__", (getter)__Pyx_CyFunction_get_annotations, (setter)__Pyx_CyFunction_set_annotations, 0, 0},
    {(char *) "_is_coroutine", (getter)__Pyx_CyFunction_get_is_coroutine, 0, 0, 0},
    {0, 0, 0, 0, 0}
};
static PyMemberDef __pyx_CyFunction_members[] = {
    {(char *) "__module__", T_OBJECT, offsetof(PyCFunctionObject, m_module), 0, 0},
#if CYTHON_USE_TYPE_SPECS
    {(char *) "__dictoffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_dict), READONLY, 0},
#if CYTHON_METH_FASTCALL
#if CYTHON_BACKPORT_VECTORCALL
    {(char *) "__vectorcalloffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_vectorcall), READONLY, 0},
#else
    {(char *) "__vectorcalloffset__", T_PYSSIZET, offsetof(PyCFunctionObject, vectorcall), READONLY, 0},
#endif
#endif
#if PY_VERSION_HEX < 0x030500A0
    {(char *) "__weaklistoffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_weakreflist), READONLY, 0},
#else
    {(char *) "__weaklistoffset__", T_PYSSIZET, offsetof(PyCFunctionObject, m_weakreflist), READONLY, 0},
#endif
#endif
    {0, 0, 0,  0, 0}
};
static PyObject *
__Pyx_CyFunction_reduce(__pyx_CyFunctionObject *m, PyObject *args)
{
    CYTHON_UNUSED_VAR(args);
#if PY_MAJOR_VERSION >= 3
    Py_INCREF(m->func_qualname);
    return m->func_qualname;
#else
    return PyString_FromString(((PyCFunctionObject*)m)->m_ml->ml_name);
#endif
}
static PyMethodDef __pyx_CyFunction_methods[] = {
    {"__reduce__", (PyCFunction)__Pyx_CyFunction_reduce, METH_VARARGS, 0},
    {0, 0, 0, 0}
};
#if PY_VERSION_HEX < 0x030500A0
#define __Pyx_CyFunction_weakreflist(cyfunc) ((cyfunc)->func_weakreflist)
#else
#define __Pyx_CyFunction_weakreflist(cyfunc) (((PyCFunctionObject*)cyfunc)->m_weakreflist)
#endif
static PyObject *__Pyx_CyFunction_Init(__pyx_CyFunctionObject *op, PyMethodDef *ml, int flags, PyObject* qualname,
                                       PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {
    PyCFunctionObject *cf = (PyCFunctionObject*) op;
    if (unlikely(op == NULL))
        return NULL;
    op->flags = flags;
    __Pyx_CyFunction_weakreflist(op) = NULL;
    cf->m_ml = ml;
    cf->m_self = (PyObject *) op;
    Py_XINCREF(closure);
    op->func_closure = closure;
    Py_XINCREF(module);
    cf->m_module = module;
    op->func_dict = NULL;
    op->func_name = NULL;
    Py_INCREF(qualname);
    op->func_qualname = qualname;
    op->func_doc = NULL;
#if PY_VERSION_HEX < 0x030900B1
    op->func_classobj = NULL;
#else
    ((PyCMethodObject*)op)->mm_class = NULL;
#endif
    op->func_globals = globals;
    Py_INCREF(op->func_globals);
    Py_XINCREF(code);
    op->func_code = code;
    op->defaults_pyobjects = 0;
    op->defaults_size = 0;
    op->defaults = NULL;
    op->defaults_tuple = NULL;
    op->defaults_kwdict = NULL;
    op->defaults_getter = NULL;
    op->func_annotations = NULL;
    op->func_is_coroutine = NULL;
#if CYTHON_METH_FASTCALL
    switch (ml->ml_flags & (METH_VARARGS | METH_FASTCALL | METH_NOARGS | METH_O | METH_KEYWORDS | METH_METHOD)) {
    case METH_NOARGS:
        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_NOARGS;
        break;
    case METH_O:
        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_O;
        break;
    case METH_METHOD | METH_FASTCALL | METH_KEYWORDS:
        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS_METHOD;
        break;
    case METH_FASTCALL | METH_KEYWORDS:
        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS;
        break;
    case METH_VARARGS | METH_KEYWORDS:
        __Pyx_CyFunction_func_vectorcall(op) = NULL;
        break;
    default:
        PyErr_SetString(PyExc_SystemError, "Bad call flags for CyFunction");
        Py_DECREF(op);
        return NULL;
    }
#endif
    return (PyObject *) op;
}
static int
__Pyx_CyFunction_clear(__pyx_CyFunctionObject *m)
{
    Py_CLEAR(m->func_closure);
    Py_CLEAR(((PyCFunctionObject*)m)->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);
#if PY_VERSION_HEX < 0x030900B1
    Py_CLEAR(__Pyx_CyFunction_GetClassObj(m));
#else
    {
        PyObject *cls = (PyObject*) ((PyCMethodObject *) (m))->mm_class;
        ((PyCMethodObject *) (m))->mm_class = NULL;
        Py_XDECREF(cls);
    }
#endif
    Py_CLEAR(m->defaults_tuple);
    Py_CLEAR(m->defaults_kwdict);
    Py_CLEAR(m->func_annotations);
    Py_CLEAR(m->func_is_coroutine);
    if (m->defaults) {
        PyObject **pydefaults = __Pyx_CyFunction_Defaults(PyObject *, m);
        int i;
        for (i = 0; i < m->defaults_pyobjects; i++)
            Py_XDECREF(pydefaults[i]);
        PyObject_Free(m->defaults);
        m->defaults = NULL;
    }
    return 0;
}
static void __Pyx__CyFunction_dealloc(__pyx_CyFunctionObject *m)
{
    if (__Pyx_CyFunction_weakreflist(m) != NULL)
        PyObject_ClearWeakRefs((PyObject *) m);
    __Pyx_CyFunction_clear(m);
    __Pyx_PyHeapTypeObject_GC_Del(m);
}
static void __Pyx_CyFunction_dealloc(__pyx_CyFunctionObject *m)
{
    PyObject_GC_UnTrack(m);
    __Pyx__CyFunction_dealloc(m);
}
static int __Pyx_CyFunction_traverse(__pyx_CyFunctionObject *m, visitproc visit, void *arg)
{
    Py_VISIT(m->func_closure);
    Py_VISIT(((PyCFunctionObject*)m)->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(__Pyx_CyFunction_GetClassObj(m));
    Py_VISIT(m->defaults_tuple);
    Py_VISIT(m->defaults_kwdict);
    Py_VISIT(m->func_is_coroutine);
    if (m->defaults) {
        PyObject **pydefaults = __Pyx_CyFunction_Defaults(PyObject *, m);
        int i;
        for (i = 0; i < m->defaults_pyobjects; i++)
            Py_VISIT(pydefaults[i]);
    }
    return 0;
}
static PyObject*
__Pyx_CyFunction_repr(__pyx_CyFunctionObject *op)
{
#if PY_MAJOR_VERSION >= 3
    return PyUnicode_FromFormat("<cyfunction %U at %p>",
                                op->func_qualname, (void *)op);
#else
    return PyString_FromFormat("<cyfunction %s at %p>",
                               PyString_AsString(op->func_qualname), (void *)op);
#endif
}
static PyObject * __Pyx_CyFunction_CallMethod(PyObject *func, PyObject *self, PyObject *arg, PyObject *kw) {
    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 for CyFunction");
        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 CYTHON_METH_FASTCALL
     __pyx_vectorcallfunc vc = __Pyx_CyFunction_func_vectorcall(cyfunc);
    if (vc) {
#if CYTHON_ASSUME_SAFE_MACROS
        return __Pyx_PyVectorcall_FastCallDict(func, vc, &PyTuple_GET_ITEM(args, 0), (size_t)PyTuple_GET_SIZE(args), kw);
#else
        (void) &__Pyx_PyVectorcall_FastCallDict;
        return PyVectorcall_Call(func, args, kw);
#endif
    }
#endif
    if ((cyfunc->flags & __Pyx_CYFUNCTION_CCLASS) && !(cyfunc->flags & __Pyx_CYFUNCTION_STATICMETHOD)) {
        Py_ssize_t argc;
        PyObject *new_args;
        PyObject *self;
        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);
            PyErr_Format(PyExc_TypeError,
                         "unbound method %.200S() needs an argument",
                         cyfunc->func_qualname);
            return NULL;
        }
        result = __Pyx_CyFunction_CallMethod(func, self, new_args, kw);
        Py_DECREF(new_args);
    } else {
        result = __Pyx_CyFunction_Call(func, args, kw);
    }
    return result;
}
#if CYTHON_METH_FASTCALL
static CYTHON_INLINE int __Pyx_CyFunction_Vectorcall_CheckArgs(__pyx_CyFunctionObject *cyfunc, Py_ssize_t nargs, PyObject *kwnames)
{
    int ret = 0;
    if ((cyfunc->flags & __Pyx_CYFUNCTION_CCLASS) && !(cyfunc->flags & __Pyx_CYFUNCTION_STATICMETHOD)) {
        if (unlikely(nargs < 1)) {
            PyErr_Format(PyExc_TypeError, "%.200s() needs an argument",
                         ((PyCFunctionObject*)cyfunc)->m_ml->ml_name);
            return -1;
        }
        ret = 1;
    }
    if (unlikely(kwnames) && unlikely(PyTuple_GET_SIZE(kwnames))) {
        PyErr_Format(PyExc_TypeError,
                     "%.200s() takes no keyword arguments", ((PyCFunctionObject*)cyfunc)->m_ml->ml_name);
        return -1;
    }
    return ret;
}
static PyObject * __Pyx_CyFunction_Vectorcall_NOARGS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
{
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *)func;
    PyMethodDef* def = ((PyCFunctionObject*)cyfunc)->m_ml;
#if CYTHON_BACKPORT_VECTORCALL
    Py_ssize_t nargs = (Py_ssize_t)nargsf;
#else
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
#endif
    PyObject *self;
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, kwnames)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
        self = ((PyCFunctionObject*)cyfunc)->m_self;
        break;
    default:
        return NULL;
    }
    if (unlikely(nargs != 0)) {
        PyErr_Format(PyExc_TypeError,
            "%.200s() takes no arguments (%" CYTHON_FORMAT_SSIZE_T "d given)",
            def->ml_name, nargs);
        return NULL;
    }
    return def->ml_meth(self, NULL);
}
static PyObject * __Pyx_CyFunction_Vectorcall_O(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
{
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *)func;
    PyMethodDef* def = ((PyCFunctionObject*)cyfunc)->m_ml;
#if CYTHON_BACKPORT_VECTORCALL
    Py_ssize_t nargs = (Py_ssize_t)nargsf;
#else
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
#endif
    PyObject *self;
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, kwnames)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
        self = ((PyCFunctionObject*)cyfunc)->m_self;
        break;
    default:
        return NULL;
    }
    if (unlikely(nargs != 1)) {
        PyErr_Format(PyExc_TypeError,
            "%.200s() takes exactly one argument (%" CYTHON_FORMAT_SSIZE_T "d given)",
            def->ml_name, nargs);
        return NULL;
    }
    return def->ml_meth(self, args[0]);
}
static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
{
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *)func;
    PyMethodDef* def = ((PyCFunctionObject*)cyfunc)->m_ml;
#if CYTHON_BACKPORT_VECTORCALL
    Py_ssize_t nargs = (Py_ssize_t)nargsf;
#else
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
#endif
    PyObject *self;
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, NULL)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
        self = ((PyCFunctionObject*)cyfunc)->m_self;
        break;
    default:
        return NULL;
    }
    return ((_PyCFunctionFastWithKeywords)(void(*)(void))def->ml_meth)(self, args, nargs, kwnames);
}
static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS_METHOD(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
{
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *)func;
    PyMethodDef* def = ((PyCFunctionObject*)cyfunc)->m_ml;
    PyTypeObject *cls = (PyTypeObject *) __Pyx_CyFunction_GetClassObj(cyfunc);
#if CYTHON_BACKPORT_VECTORCALL
    Py_ssize_t nargs = (Py_ssize_t)nargsf;
#else
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
#endif
    PyObject *self;
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, NULL)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
        self = ((PyCFunctionObject*)cyfunc)->m_self;
        break;
    default:
        return NULL;
    }
    return ((__Pyx_PyCMethod)(void(*)(void))def->ml_meth)(self, cls, args, (size_t)nargs, kwnames);
}
#endif
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_CyFunctionType_slots[] = {
    {Py_tp_dealloc, (void *)__Pyx_CyFunction_dealloc},
    {Py_tp_repr, (void *)__Pyx_CyFunction_repr},
    {Py_tp_call, (void *)__Pyx_CyFunction_CallAsMethod},
    {Py_tp_traverse, (void *)__Pyx_CyFunction_traverse},
    {Py_tp_clear, (void *)__Pyx_CyFunction_clear},
    {Py_tp_methods, (void *)__pyx_CyFunction_methods},
    {Py_tp_members, (void *)__pyx_CyFunction_members},
    {Py_tp_getset, (void *)__pyx_CyFunction_getsets},
    {Py_tp_descr_get, (void *)__Pyx_PyMethod_New},
    {0, 0},
};
static PyType_Spec __pyx_CyFunctionType_spec = {
    __PYX_TYPE_MODULE_PREFIX "cython_function_or_method",
    sizeof(__pyx_CyFunctionObject),
    0,
#ifdef Py_TPFLAGS_METHOD_DESCRIPTOR
    Py_TPFLAGS_METHOD_DESCRIPTOR |
#endif
#if (defined(_Py_TPFLAGS_HAVE_VECTORCALL) && CYTHON_METH_FASTCALL)
    _Py_TPFLAGS_HAVE_VECTORCALL |
#endif
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_BASETYPE,
    __pyx_CyFunctionType_slots
};
#else
static PyTypeObject __pyx_CyFunctionType_type = {
    PyVarObject_HEAD_INIT(0, 0)
    __PYX_TYPE_MODULE_PREFIX "cython_function_or_method",
    sizeof(__pyx_CyFunctionObject),
    0,
    (destructor) __Pyx_CyFunction_dealloc,
#if !CYTHON_METH_FASTCALL
    0,
#elif CYTHON_BACKPORT_VECTORCALL
    (printfunc)offsetof(__pyx_CyFunctionObject, func_vectorcall),
#else
    offsetof(PyCFunctionObject, vectorcall),
#endif
    0,
    0,
#if PY_MAJOR_VERSION < 3
    0,
#else
    0,
#endif
    (reprfunc) __Pyx_CyFunction_repr,
    0,
    0,
    0,
    0,
    __Pyx_CyFunction_CallAsMethod,
    0,
    0,
    0,
    0,
#ifdef Py_TPFLAGS_METHOD_DESCRIPTOR
    Py_TPFLAGS_METHOD_DESCRIPTOR |
#endif
#ifdef _Py_TPFLAGS_HAVE_VECTORCALL
    _Py_TPFLAGS_HAVE_VECTORCALL |
#endif
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_BASETYPE,
    0,
    (traverseproc) __Pyx_CyFunction_traverse,
    (inquiry) __Pyx_CyFunction_clear,
    0,
#if PY_VERSION_HEX < 0x030500A0
    offsetof(__pyx_CyFunctionObject, func_weakreflist),
#else
    offsetof(PyCFunctionObject, m_weakreflist),
#endif
    0,
    0,
    __pyx_CyFunction_methods,
    __pyx_CyFunction_members,
    __pyx_CyFunction_getsets,
    0,
    0,
    __Pyx_PyMethod_New,
    0,
    offsetof(__pyx_CyFunctionObject, func_dict),
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
#if PY_VERSION_HEX >= 0x030400a1
    0,
#endif
#if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
    0,
#endif
#if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
    0,
#endif
#if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
    0,
#endif
};
#endif
static int __pyx_CyFunction_init(PyObject *module) {
#if CYTHON_USE_TYPE_SPECS
    __pyx_CyFunctionType = __Pyx_FetchCommonTypeFromSpec(module, &__pyx_CyFunctionType_spec, NULL);
#else
    (void) module;
    __pyx_CyFunctionType = __Pyx_FetchCommonType(&__pyx_CyFunctionType_type);
#endif
    if (unlikely(__pyx_CyFunctionType == NULL)) {
        return -1;
    }
    return 0;
}
static CYTHON_INLINE void *__Pyx_CyFunction_InitDefaults(PyObject *func, size_t size, int pyobjects) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults = PyObject_Malloc(size);
    if (unlikely(!m->defaults))
        return PyErr_NoMemory();
    memset(m->defaults, 0, size);
    m->defaults_pyobjects = pyobjects;
    m->defaults_size = size;
    return m->defaults;
}
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *func, PyObject *tuple) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults_tuple = tuple;
    Py_INCREF(tuple);
}
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *func, PyObject *dict) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults_kwdict = dict;
    Py_INCREF(dict);
}
static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *func, PyObject *dict) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->func_annotations = dict;
    Py_INCREF(dict);
}

/* CythonFunction */
static PyObject *__Pyx_CyFunction_New(PyMethodDef *ml, int flags, PyObject* qualname,
                                      PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {
    PyObject *op = __Pyx_CyFunction_Init(
        PyObject_GC_New(__pyx_CyFunctionObject, __pyx_CyFunctionType),
        ml, flags, qualname, closure, module, globals, code
    );
    if (likely(op)) {
        PyObject_GC_Track(op);
    }
    return op;
}

/* GetNameInClass */
static PyObject *__Pyx__GetNameInClass(PyObject *nmspace, PyObject *name) {
    PyObject *result;
    PyObject *dict;
    assert(PyType_Check(nmspace));
#if CYTHON_USE_TYPE_SLOTS
    dict = ((PyTypeObject*)nmspace)->tp_dict;
    Py_XINCREF(dict);
#else
    dict = PyObject_GetAttr(nmspace, __pyx_n_s_dict);
#endif
    if (likely(dict)) {
        result = PyObject_GetItem(dict, name);
        Py_DECREF(dict);
        if (result) {
            return result;
        }
    }
    PyErr_Clear();
    __Pyx_GetModuleGlobalNameUncached(result, name);
    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_PYPY
    if (PyMethodDescr_Check(method))
#else
    #if PY_MAJOR_VERSION == 2
    static PyTypeObject *methoddescr_type = NULL;
    if (unlikely(methoddescr_type == NULL)) {
       PyObject *meth = PyObject_GetAttrString((PyObject*)&PyList_Type, "append");
       if (unlikely(!meth)) return NULL;
       methoddescr_type = Py_TYPE(meth);
       Py_DECREF(meth);
    }
    #else
    PyTypeObject *methoddescr_type = &PyMethodDescr_Type;
    #endif
    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 {
        return PyClassMethod_New(method);
    }
}

/* CLineInTraceback */
#ifndef CYTHON_CLINE_IN_TRACEBACK
static int __Pyx_CLineForTraceback(CYTHON_NCP_UNUSED PyThreadState *tstate, int c_line) {
    PyObject *use_cline;
    PyObject *ptype, *pvalue, *ptraceback;
#if CYTHON_COMPILING_IN_CPYTHON
    PyObject **cython_runtime_dict;
#endif
    if (unlikely(!__pyx_cython_runtime)) {
        return c_line;
    }
    __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);
#if CYTHON_COMPILING_IN_CPYTHON
    cython_runtime_dict = _PyObject_GetDictPtr(__pyx_cython_runtime);
    if (likely(cython_runtime_dict)) {
        __PYX_PY_DICT_LOOKUP_IF_MODIFIED(
            use_cline, *cython_runtime_dict,
            __Pyx_PyDict_GetItemStr(*cython_runtime_dict, __pyx_n_s_cline_in_traceback))
    } else
#endif
    {
      PyObject *use_cline_obj = __Pyx_PyObject_GetAttrStrNoError(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback);
      if (use_cline_obj) {
        use_cline = PyObject_Not(use_cline_obj) ? Py_False : Py_True;
        Py_DECREF(use_cline_obj);
      } else {
        PyErr_Clear();
        use_cline = NULL;
      }
    }
    if (!use_cline) {
        c_line = 0;
        (void) PyObject_SetAttr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback, Py_False);
    }
    else if (use_cline == Py_False || (use_cline != Py_True && PyObject_Not(use_cline) != 0)) {
        c_line = 0;
    }
    __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback);
    return c_line;
}
#endif

/* CodeObjectCache */
#if !CYTHON_COMPILING_IN_LIMITED_API
static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line) {
    int start = 0, mid = 0, end = count - 1;
    if (end >= 0 && code_line > entries[end].code_line) {
        return count;
    }
    while (start < end) {
        mid = start + (end - start) / 2;
        if (code_line < entries[mid].code_line) {
            end = mid;
        } else if (code_line > entries[mid].code_line) {
             start = mid + 1;
        } else {
            return mid;
        }
    }
    if (code_line <= entries[mid].code_line) {
        return mid;
    } else {
        return mid + 1;
    }
}
static PyCodeObject *__pyx_find_code_object(int code_line) {
    PyCodeObject* code_object;
    int pos;
    if (unlikely(!code_line) || unlikely(!__pyx_code_cache.entries)) {
        return NULL;
    }
    pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
    if (unlikely(pos >= __pyx_code_cache.count) || unlikely(__pyx_code_cache.entries[pos].code_line != code_line)) {
        return NULL;
    }
    code_object = __pyx_code_cache.entries[pos].code_object;
    Py_INCREF(code_object);
    return code_object;
}
static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object) {
    int pos, i;
    __Pyx_CodeObjectCacheEntry* entries = __pyx_code_cache.entries;
    if (unlikely(!code_line)) {
        return;
    }
    if (unlikely(!entries)) {
        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Malloc(64*sizeof(__Pyx_CodeObjectCacheEntry));
        if (likely(entries)) {
            __pyx_code_cache.entries = entries;
            __pyx_code_cache.max_count = 64;
            __pyx_code_cache.count = 1;
            entries[0].code_line = code_line;
            entries[0].code_object = code_object;
            Py_INCREF(code_object);
        }
        return;
    }
    pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
    if ((pos < __pyx_code_cache.count) && unlikely(__pyx_code_cache.entries[pos].code_line == code_line)) {
        PyCodeObject* tmp = entries[pos].code_object;
        entries[pos].code_object = code_object;
        Py_DECREF(tmp);
        return;
    }
    if (__pyx_code_cache.count == __pyx_code_cache.max_count) {
        int new_max = __pyx_code_cache.max_count + 64;
        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Realloc(
            __pyx_code_cache.entries, ((size_t)new_max) * sizeof(__Pyx_CodeObjectCacheEntry));
        if (unlikely(!entries)) {
            return;
        }
        __pyx_code_cache.entries = entries;
        __pyx_code_cache.max_count = new_max;
    }
    for (i=__pyx_code_cache.count; i>pos; i--) {
        entries[i] = entries[i-1];
    }
    entries[pos].code_line = code_line;
    entries[pos].code_object = code_object;
    __pyx_code_cache.count++;
    Py_INCREF(code_object);
}
#endif

/* AddTraceback */
#include "compile.h"
#include "frameobject.h"
#include "traceback.h"
#if PY_VERSION_HEX >= 0x030b00a6
  #ifndef Py_BUILD_CORE
    #define Py_BUILD_CORE 1
  #endif
  #include "internal/pycore_frame.h"
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
static void __Pyx_AddTraceback(const char *funcname, int c_line,
                               int py_line, const char *filename) {
    if (c_line) {
        (void) __pyx_cfilenm;
        (void) __Pyx_CLineForTraceback(__Pyx_PyThreadState_Current, c_line);
    }
    _PyTraceback_Add(funcname, filename, py_line);
}
#else
static PyCodeObject* __Pyx_CreateCodeObjectForTraceback(
            const char *funcname, int c_line,
            int py_line, const char *filename) {
    PyCodeObject *py_code = NULL;
    PyObject *py_funcname = NULL;
    #if PY_MAJOR_VERSION < 3
    PyObject *py_srcfile = NULL;
    py_srcfile = PyString_FromString(filename);
    if (!py_srcfile) goto bad;
    #endif
    if (c_line) {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        if (!py_funcname) goto bad;
        #else
        py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        if (!py_funcname) goto bad;
        funcname = PyUnicode_AsUTF8(py_funcname);
        if (!funcname) goto bad;
        #endif
    }
    else {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromString(funcname);
        if (!py_funcname) goto bad;
        #endif
    }
    #if PY_MAJOR_VERSION < 3
    py_code = __Pyx_PyCode_New(
        0,
        0,
        0,
        0,
        0,
        0,
        __pyx_empty_bytes, /*PyObject *code,*/
        __pyx_empty_tuple, /*PyObject *consts,*/
        __pyx_empty_tuple, /*PyObject *names,*/
        __pyx_empty_tuple, /*PyObject *varnames,*/
        __pyx_empty_tuple, /*PyObject *freevars,*/
        __pyx_empty_tuple, /*PyObject *cellvars,*/
        py_srcfile,   /*PyObject *filename,*/
        py_funcname,  /*PyObject *name,*/
        py_line,
        __pyx_empty_bytes  /*PyObject *lnotab*/
    );
    Py_DECREF(py_srcfile);
    #else
    py_code = PyCode_NewEmpty(filename, funcname, py_line);
    #endif
    Py_XDECREF(py_funcname);  // XDECREF since it's only set on Py3 if cline
    return py_code;
bad:
    Py_XDECREF(py_funcname);
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(py_srcfile);
    #endif
    return NULL;
}
static void __Pyx_AddTraceback(const char *funcname, int c_line,
                               int py_line, const char *filename) {
    PyCodeObject *py_code = 0;
    PyFrameObject *py_frame = 0;
    PyThreadState *tstate = __Pyx_PyThreadState_Current;
    PyObject *ptype, *pvalue, *ptraceback;
    if (c_line) {
        c_line = __Pyx_CLineForTraceback(tstate, c_line);
    }
    py_code = __pyx_find_code_object(c_line ? -c_line : py_line);
    if (!py_code) {
        __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);
        py_code = __Pyx_CreateCodeObjectForTraceback(
            funcname, c_line, py_line, filename);
        if (!py_code) {
            /* If the code object creation fails, then we should clear the
               fetched exception references and propagate the new exception */
            Py_XDECREF(ptype);
            Py_XDECREF(pvalue);
            Py_XDECREF(ptraceback);
            goto bad;
        }
        __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback);
        __pyx_insert_code_object(c_line ? -c_line : py_line, py_code);
    }
    py_frame = PyFrame_New(
        tstate,            /*PyThreadState *tstate,*/
        py_code,           /*PyCodeObject *code,*/
        __pyx_d,    /*PyObject *globals,*/
        0                  /*PyObject *locals*/
    );
    if (!py_frame) goto bad;
    __Pyx_PyFrame_SetLineNumber(py_frame, py_line);
    PyTraceBack_Here(py_frame);
bad:
    Py_XDECREF(py_code);
    Py_XDECREF(py_frame);
}
#endif

/* CIntFromPyVerify */
#define __PYX_VERIFY_RETURN_INT(target_type, func_type, func_value)\
    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 0)
#define __PYX_VERIFY_RETURN_INT_EXC(target_type, func_type, func_value)\
    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 1)
#define __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, exc)\
    {\
        func_type value = func_value;\
        if (sizeof(target_type) < sizeof(func_type)) {\
            if (unlikely(value != (func_type) (target_type) value)) {\
                func_type zero = 0;\
                if (exc && unlikely(value == (func_type)-1 && PyErr_Occurred()))\
                    return (target_type) -1;\
                if (is_unsigned && unlikely(value < zero))\
                    goto raise_neg_overflow;\
                else\
                    goto raise_overflow;\
            }\
        }\
        return (target_type) value;\
    }

/* CIntFromPy */
static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const long neg_one = (long) -1, const_zero = (long) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if ((sizeof(long) < sizeof(long))) {
            __PYX_VERIFY_RETURN_INT(long, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (long) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            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 || CYTHON_COMPILING_IN_LIMITED_API) && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available, 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;
}

/* CIntToPy */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const long neg_one = (long) -1, const_zero = (long) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(long) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(long) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(long) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(long),
                                     little, !is_unsigned);
    }
}

/* FormatTypeName */
#if CYTHON_COMPILING_IN_LIMITED_API
static __Pyx_TypeName
__Pyx_PyType_GetName(PyTypeObject* tp)
{
    PyObject *name = __Pyx_PyObject_GetAttrStr((PyObject *)tp,
                                               __pyx_n_s_name);
    if (unlikely(name == NULL) || unlikely(!PyUnicode_Check(name))) {
        PyErr_Clear();
        Py_XSETREF(name, __Pyx_NewRef(__pyx_n_s__81));
    }
    return name;
}
#endif

/* CIntFromPy */
static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const int neg_one = (int) -1, const_zero = (int) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if ((sizeof(int) < sizeof(long))) {
            __PYX_VERIFY_RETURN_INT(int, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (int) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (int) 0;
                case  1: __PYX_VERIFY_RETURN_INT(int, digit, digits[0])
                case 2:
                    if ((8 * sizeof(int) > 1 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(int) >= 2 * PyLong_SHIFT)) {
                            return (int) (((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if ((8 * sizeof(int) > 2 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(int) >= 3 * PyLong_SHIFT)) {
                            return (int) (((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if ((8 * sizeof(int) > 3 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(int) >= 4 * PyLong_SHIFT)) {
                            return (int) (((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                        }
                    }
                    break;
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON
            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 || CYTHON_COMPILING_IN_LIMITED_API) && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available, cannot convert large numbers");
#else
            int val;
            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (int) -1;
        }
    } else {
        int val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (int) -1;
        val = __Pyx_PyInt_As_int(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to int");
    return (int) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to int");
    return (int) -1;
}

/* FastTypeChecks */
#if CYTHON_COMPILING_IN_CPYTHON
static int __Pyx_InBases(PyTypeObject *a, PyTypeObject *b) {
    while (a) {
        a = __Pyx_PyType_GetSlot(a, tp_base, PyTypeObject*);
        if (a == b)
            return 1;
    }
    return b == &PyBaseObject_Type;
}
static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b) {
    PyObject *mro;
    if (a == b) return 1;
    mro = a->tp_mro;
    if (likely(mro)) {
        Py_ssize_t i, n;
        n = PyTuple_GET_SIZE(mro);
        for (i = 0; i < n; i++) {
            if (PyTuple_GET_ITEM(mro, i) == (PyObject *)b)
                return 1;
        }
        return 0;
    }
    return __Pyx_InBases(a, b);
}
static CYTHON_INLINE int __Pyx_IsAnySubtype2(PyTypeObject *cls, PyTypeObject *a, PyTypeObject *b) {
    PyObject *mro;
    if (cls == a || cls == b) return 1;
    mro = cls->tp_mro;
    if (likely(mro)) {
        Py_ssize_t i, n;
        n = PyTuple_GET_SIZE(mro);
        for (i = 0; i < n; i++) {
            PyObject *base = PyTuple_GET_ITEM(mro, i);
            if (base == (PyObject *)a || base == (PyObject *)b)
                return 1;
        }
        return 0;
    }
    return __Pyx_InBases(cls, a) || __Pyx_InBases(cls, b);
}
#if PY_MAJOR_VERSION == 2
static int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject* exc_type2) {
    PyObject *exception, *value, *tb;
    int res;
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    __Pyx_ErrFetch(&exception, &value, &tb);
    res = exc_type1 ? PyObject_IsSubclass(err, exc_type1) : 0;
    if (unlikely(res == -1)) {
        PyErr_WriteUnraisable(err);
        res = 0;
    }
    if (!res) {
        res = PyObject_IsSubclass(err, exc_type2);
        if (unlikely(res == -1)) {
            PyErr_WriteUnraisable(err);
            res = 0;
        }
    }
    __Pyx_ErrRestore(exception, value, tb);
    return res;
}
#else
static CYTHON_INLINE int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject *exc_type2) {
    if (exc_type1) {
        return __Pyx_IsAnySubtype2((PyTypeObject*)err, (PyTypeObject*)exc_type1, (PyTypeObject*)exc_type2);
    } else {
        return __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type2);
    }
}
#endif
static int __Pyx_PyErr_GivenExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
    Py_ssize_t i, n;
    assert(PyExceptionClass_Check(exc_type));
    n = PyTuple_GET_SIZE(tuple);
#if PY_MAJOR_VERSION >= 3
    for (i=0; i<n; i++) {
        if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
    }
#endif
    for (i=0; i<n; i++) {
        PyObject *t = PyTuple_GET_ITEM(tuple, i);
        #if PY_MAJOR_VERSION < 3
        if (likely(exc_type == t)) return 1;
        #endif
        if (likely(PyExceptionClass_Check(t))) {
            if (__Pyx_inner_PyErr_GivenExceptionMatches2(exc_type, NULL, t)) return 1;
        } else {
        }
    }
    return 0;
}
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject* exc_type) {
    if (likely(err == exc_type)) return 1;
    if (likely(PyExceptionClass_Check(err))) {
        if (likely(PyExceptionClass_Check(exc_type))) {
            return __Pyx_inner_PyErr_GivenExceptionMatches2(err, NULL, exc_type);
        } else if (likely(PyTuple_Check(exc_type))) {
            return __Pyx_PyErr_GivenExceptionMatchesTuple(err, exc_type);
        } else {
        }
    }
    return PyErr_GivenExceptionMatches(err, exc_type);
}
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *exc_type1, PyObject *exc_type2) {
    assert(PyExceptionClass_Check(exc_type1));
    assert(PyExceptionClass_Check(exc_type2));
    if (likely(err == exc_type1 || err == exc_type2)) return 1;
    if (likely(PyExceptionClass_Check(err))) {
        return __Pyx_inner_PyErr_GivenExceptionMatches2(err, exc_type1, exc_type2);
    }
    return (PyErr_GivenExceptionMatches(err, exc_type1) || PyErr_GivenExceptionMatches(err, exc_type2));
}
#endif

/* CheckBinaryVersion */
static int __Pyx_check_binary_version(void) {
    char ctversion[5];
    int same=1, i, found_dot;
    const char* rt_from_call = Py_GetVersion();
    PyOS_snprintf(ctversion, 5, "%d.%d", PY_MAJOR_VERSION, PY_MINOR_VERSION);
    found_dot = 0;
    for (i = 0; i < 4; i++) {
        if (!ctversion[i]) {
            same = (rt_from_call[i] < '0' || rt_from_call[i] > '9');
            break;
        }
        if (rt_from_call[i] != ctversion[i]) {
            same = 0;
            break;
        }
    }
    if (!same) {
        char rtversion[5] = {'\0'};
        char message[200];
        for (i=0; i<4; ++i) {
            if (rt_from_call[i] == '.') {
                if (found_dot) break;
                found_dot = 1;
            } else if (rt_from_call[i] < '0' || rt_from_call[i] > '9') {
                break;
            }
            rtversion[i] = rt_from_call[i];
        }
        PyOS_snprintf(message, sizeof(message),
                      "compile time 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 */
#if PY_MAJOR_VERSION >= 3
static int __Pyx_InitString(__Pyx_StringTabEntry t, PyObject **str) {
    if (t.is_unicode | t.is_str) {
        if (t.intern) {
            *str = PyUnicode_InternFromString(t.s);
        } else if (t.encoding) {
            *str = PyUnicode_Decode(t.s, t.n - 1, t.encoding, NULL);
        } else {
            *str = PyUnicode_FromStringAndSize(t.s, t.n - 1);
        }
    } else {
        *str = PyBytes_FromStringAndSize(t.s, t.n - 1);
    }
    if (!*str)
        return -1;
    if (PyObject_Hash(*str) == -1)
        return -1;
    return 0;
}
#endif
#if !CYTHON_COMPILING_IN_LIMITED_API
static int __Pyx_InitStrings(__Pyx_StringTabEntry *t) {
    while (t->p) {
        #if PY_MAJOR_VERSION >= 3
        __Pyx_InitString(*t, t->p);
        #else
        if (t->is_unicode) {
            *t->p = PyUnicode_DecodeUTF8(t->s, t->n - 1, NULL);
        } else if (t->intern) {
            *t->p = PyString_InternFromString(t->s);
        } else {
            *t->p = PyString_FromStringAndSize(t->s, t->n - 1);
        }
        if (!*t->p)
            return -1;
        if (PyObject_Hash(*t->p) == -1)
            return -1;
        #endif
        ++t;
    }
    return 0;
}
#endif

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 && !CYTHON_COMPILING_IN_LIMITED_API) || (defined(PyByteArray_AS_STRING) && defined(PyByteArray_GET_SIZE))
    if (PyByteArray_Check(o)) {
        *length = PyByteArray_GET_SIZE(o);
        return PyByteArray_AS_STRING(o);
    } else
#endif
    {
        char* result;
        int r = PyBytes_AsStringAndSize(o, &result, length);
        if (unlikely(r < 0)) {
            return NULL;
        } else {
            return result;
        }
    }
}
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject* x) {
   int is_true = x == Py_True;
   if (is_true | (x == Py_False) | (x == Py_None)) return is_true;
   else return PyObject_IsTrue(x);
}
static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject* x) {
    int retval;
    if (unlikely(!x)) return -1;
    retval = __Pyx_PyObject_IsTrue(x);
    Py_DECREF(x);
    return retval;
}
static PyObject* __Pyx_PyNumber_IntOrLongWrongResultType(PyObject* result, const char* type_name) {
    __Pyx_TypeName result_type_name = __Pyx_PyType_GetName(Py_TYPE(result));
#if PY_MAJOR_VERSION >= 3
    if (PyLong_Check(result)) {
        if (PyErr_WarnFormat(PyExc_DeprecationWarning, 1,
                "__int__ returned non-int (type " __Pyx_FMT_TYPENAME ").  "
                "The ability to return an instance of a strict subclass of int is deprecated, "
                "and may be removed in a future version of Python.",
                result_type_name)) {
            __Pyx_DECREF_TypeName(result_type_name);
            Py_DECREF(result);
            return NULL;
        }
        __Pyx_DECREF_TypeName(result_type_name);
        return result;
    }
#endif
    PyErr_Format(PyExc_TypeError,
                 "__%.4s__ returned non-%.4s (type " __Pyx_FMT_TYPENAME ")",
                 type_name, type_name, result_type_name);
    __Pyx_DECREF_TypeName(result_type_name);
    Py_DECREF(result);
    return NULL;
}
static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x) {
#if CYTHON_USE_TYPE_SLOTS
  PyNumberMethods *m;
#endif
  const char *name = NULL;
  PyObject *res = NULL;
#if PY_MAJOR_VERSION < 3
  if (likely(PyInt_Check(x) || PyLong_Check(x)))
#else
  if (likely(PyLong_Check(x)))
#endif
    return __Pyx_NewRef(x);
#if CYTHON_USE_TYPE_SLOTS
  m = Py_TYPE(x)->tp_as_number;
  #if PY_MAJOR_VERSION < 3
  if (m && m->nb_int) {
    name = "int";
    res = m->nb_int(x);
  }
  else if (m && m->nb_long) {
    name = "long";
    res = m->nb_long(x);
  }
  #else
  if (likely(m && m->nb_int)) {
    name = "int";
    res = m->nb_int(x);
  }
  #endif
#else
  if (!PyBytes_CheckExact(x) && !PyUnicode_CheckExact(x)) {
    res = PyNumber_Int(x);
  }
#endif
  if (likely(res)) {
#if PY_MAJOR_VERSION < 3
    if (unlikely(!PyInt_Check(res) && !PyLong_Check(res))) {
#else
    if (unlikely(!PyLong_CheckExact(res))) {
#endif
        return __Pyx_PyNumber_IntOrLongWrongResultType(res, name);
    }
  }
  else if (!PyErr_Occurred()) {
    PyErr_SetString(PyExc_TypeError,
                    "an integer is required");
  }
  return res;
}
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) {
  Py_ssize_t ival;
  PyObject *x;
#if PY_MAJOR_VERSION < 3
  if (likely(PyInt_CheckExact(b))) {
    if (sizeof(Py_ssize_t) >= sizeof(long))
        return PyInt_AS_LONG(b);
    else
        return PyInt_AsSsize_t(b);
  }
#endif
  if (likely(PyLong_CheckExact(b))) {
    #if CYTHON_USE_PYLONG_INTERNALS
    const digit* digits = ((PyLongObject*)b)->ob_digit;
    const Py_ssize_t size = Py_SIZE(b);
    if (likely(__Pyx_sst_abs(size) <= 1)) {
        ival = likely(size) ? digits[0] : 0;
        if (size == -1) ival = -ival;
        return ival;
    } else {
      switch (size) {
         case 2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case 3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case 4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
      }
    }
    #endif
    return PyLong_AsSsize_t(b);
  }
  x = PyNumber_Index(b);
  if (!x) return -1;
  ival = PyInt_AsSsize_t(x);
  Py_DECREF(x);
  return ival;
}
static CYTHON_INLINE Py_hash_t __Pyx_PyIndex_AsHash_t(PyObject* o) {
  if (sizeof(Py_hash_t) == sizeof(Py_ssize_t)) {
    return (Py_hash_t) __Pyx_PyIndex_AsSsize_t(o);
#if PY_MAJOR_VERSION < 3
  } else if (likely(PyInt_CheckExact(o))) {
    return PyInt_AS_LONG(o);
#endif
  } else {
    Py_ssize_t ival;
    PyObject *x;
    x = PyNumber_Index(o);
    if (!x) return -1;
    ival = PyInt_AsLong(x);
    Py_DECREF(x);
    return ival;
  }
}
static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b) {
  return b ? __Pyx_NewRef(Py_True) : __Pyx_NewRef(Py_False);
}
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
    return PyInt_FromSize_t(ival);
}


/* #### Code section: utility_code_pragmas_end ### */
#if _MSV_VER
#pragma warning( pop )
#endif



/* #### Code section: end ### */
#endif /* Py_PYTHON_H */
