PyClical_nocython.cpp

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/* Generated by Cython 3.0.8 */

/* BEGIN: Cython Metadata
{
    "distutils": {
        "depends": [
            "PyClical.h"
        ],
        "language": "c++",
        "name": "PyClical",
        "sources": [
            "PyClical.pyx"
        ]
    },
    "module_name": "PyClical"
}
END: Cython Metadata */

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

#include "Python.h"
#ifndef Py_PYTHON_H
    #error Python headers needed to compile C extensions, please install development version of Python.
#elif PY_VERSION_HEX < 0x02070000 || (0x03000000 <= PY_VERSION_HEX && PY_VERSION_HEX < 0x03030000)
    #error Cython requires Python 2.7+ or Python 3.3+.
#else
#if defined(CYTHON_LIMITED_API) && CYTHON_LIMITED_API
#define __PYX_EXTRA_ABI_MODULE_NAME "limited"
#else
#define __PYX_EXTRA_ABI_MODULE_NAME ""
#endif
#define CYTHON_ABI "3_0_8" __PYX_EXTRA_ABI_MODULE_NAME
#define __PYX_ABI_MODULE_NAME "_cython_" CYTHON_ABI
#define __PYX_TYPE_MODULE_PREFIX __PYX_ABI_MODULE_NAME "."
#define CYTHON_HEX_VERSION 0x030008F0
#define CYTHON_FUTURE_DIVISION 1
#include <stddef.h>
#ifndef offsetof
  #define offsetof(type, member) ( (size_t) & ((type*)0) -> member )
#endif
#if !defined(_WIN32) && !defined(WIN32) && !defined(MS_WINDOWS)
  #ifndef __stdcall
    #define __stdcall
  #endif
  #ifndef __cdecl
    #define __cdecl
  #endif
  #ifndef __fastcall
    #define __fastcall
  #endif
#endif
#ifndef DL_IMPORT
  #define DL_IMPORT(t) t
#endif
#ifndef DL_EXPORT
  #define DL_EXPORT(t) t
#endif
#define __PYX_COMMA ,
#ifndef HAVE_LONG_LONG
  #define HAVE_LONG_LONG
#endif
#ifndef PY_LONG_LONG
  #define PY_LONG_LONG LONG_LONG
#endif
#ifndef Py_HUGE_VAL
  #define Py_HUGE_VAL HUGE_VAL
#endif
#define __PYX_LIMITED_VERSION_HEX PY_VERSION_HEX
#if defined(GRAALVM_PYTHON)
  /* For very preliminary testing purposes. Most variables are set the same as PyPy.
     The existence of this section does not imply that anything works or is even tested */
  #define CYTHON_COMPILING_IN_PYPY 0
  #define CYTHON_COMPILING_IN_CPYTHON 0
  #define CYTHON_COMPILING_IN_LIMITED_API 0
  #define CYTHON_COMPILING_IN_GRAAL 1
  #define CYTHON_COMPILING_IN_NOGIL 0
  #undef CYTHON_USE_TYPE_SLOTS
  #define CYTHON_USE_TYPE_SLOTS 0
  #undef CYTHON_USE_TYPE_SPECS
  #define CYTHON_USE_TYPE_SPECS 0
  #undef CYTHON_USE_PYTYPE_LOOKUP
  #define CYTHON_USE_PYTYPE_LOOKUP 0
  #if PY_VERSION_HEX < 0x03050000
    #undef CYTHON_USE_ASYNC_SLOTS
    #define CYTHON_USE_ASYNC_SLOTS 0
  #elif !defined(CYTHON_USE_ASYNC_SLOTS)
    #define CYTHON_USE_ASYNC_SLOTS 1
  #endif
  #undef CYTHON_USE_PYLIST_INTERNALS
  #define CYTHON_USE_PYLIST_INTERNALS 0
  #undef CYTHON_USE_UNICODE_INTERNALS
  #define CYTHON_USE_UNICODE_INTERNALS 0
  #undef CYTHON_USE_UNICODE_WRITER
  #define CYTHON_USE_UNICODE_WRITER 0
  #undef CYTHON_USE_PYLONG_INTERNALS
  #define CYTHON_USE_PYLONG_INTERNALS 0
  #undef CYTHON_AVOID_BORROWED_REFS
  #define CYTHON_AVOID_BORROWED_REFS 1
  #undef CYTHON_ASSUME_SAFE_MACROS
  #define CYTHON_ASSUME_SAFE_MACROS 0
  #undef CYTHON_UNPACK_METHODS
  #define CYTHON_UNPACK_METHODS 0
  #undef CYTHON_FAST_THREAD_STATE
  #define CYTHON_FAST_THREAD_STATE 0
  #undef CYTHON_FAST_GIL
  #define CYTHON_FAST_GIL 0
  #undef CYTHON_METH_FASTCALL
  #define CYTHON_METH_FASTCALL 0
  #undef CYTHON_FAST_PYCALL
  #define CYTHON_FAST_PYCALL 0
  #ifndef CYTHON_PEP487_INIT_SUBCLASS
    #define CYTHON_PEP487_INIT_SUBCLASS (PY_MAJOR_VERSION >= 3)
  #endif
  #undef CYTHON_PEP489_MULTI_PHASE_INIT
  #define CYTHON_PEP489_MULTI_PHASE_INIT 1
  #undef CYTHON_USE_MODULE_STATE
  #define CYTHON_USE_MODULE_STATE 0
  #undef CYTHON_USE_TP_FINALIZE
  #define CYTHON_USE_TP_FINALIZE 0
  #undef CYTHON_USE_DICT_VERSIONS
  #define CYTHON_USE_DICT_VERSIONS 0
  #undef CYTHON_USE_EXC_INFO_STACK
  #define CYTHON_USE_EXC_INFO_STACK 0
  #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC
    #define CYTHON_UPDATE_DESCRIPTOR_DOC 0
  #endif
#elif defined(PYPY_VERSION)
  #define CYTHON_COMPILING_IN_PYPY 1
  #define CYTHON_COMPILING_IN_CPYTHON 0
  #define CYTHON_COMPILING_IN_LIMITED_API 0
  #define CYTHON_COMPILING_IN_GRAAL 0
  #define CYTHON_COMPILING_IN_NOGIL 0
  #undef CYTHON_USE_TYPE_SLOTS
  #define CYTHON_USE_TYPE_SLOTS 0
  #ifndef CYTHON_USE_TYPE_SPECS
    #define CYTHON_USE_TYPE_SPECS 0
  #endif
  #undef CYTHON_USE_PYTYPE_LOOKUP
  #define CYTHON_USE_PYTYPE_LOOKUP 0
  #if PY_VERSION_HEX < 0x03050000
    #undef CYTHON_USE_ASYNC_SLOTS
    #define CYTHON_USE_ASYNC_SLOTS 0
  #elif !defined(CYTHON_USE_ASYNC_SLOTS)
    #define CYTHON_USE_ASYNC_SLOTS 1
  #endif
  #undef CYTHON_USE_PYLIST_INTERNALS
  #define CYTHON_USE_PYLIST_INTERNALS 0
  #undef CYTHON_USE_UNICODE_INTERNALS
  #define CYTHON_USE_UNICODE_INTERNALS 0
  #undef CYTHON_USE_UNICODE_WRITER
  #define CYTHON_USE_UNICODE_WRITER 0
  #undef CYTHON_USE_PYLONG_INTERNALS
  #define CYTHON_USE_PYLONG_INTERNALS 0
  #undef CYTHON_AVOID_BORROWED_REFS
  #define CYTHON_AVOID_BORROWED_REFS 1
  #undef CYTHON_ASSUME_SAFE_MACROS
  #define CYTHON_ASSUME_SAFE_MACROS 0
  #undef CYTHON_UNPACK_METHODS
  #define CYTHON_UNPACK_METHODS 0
  #undef CYTHON_FAST_THREAD_STATE
  #define CYTHON_FAST_THREAD_STATE 0
  #undef CYTHON_FAST_GIL
  #define CYTHON_FAST_GIL 0
  #undef CYTHON_METH_FASTCALL
  #define CYTHON_METH_FASTCALL 0
  #undef CYTHON_FAST_PYCALL
  #define CYTHON_FAST_PYCALL 0
  #ifndef CYTHON_PEP487_INIT_SUBCLASS
    #define CYTHON_PEP487_INIT_SUBCLASS (PY_MAJOR_VERSION >= 3)
  #endif
  #if PY_VERSION_HEX < 0x03090000
    #undef CYTHON_PEP489_MULTI_PHASE_INIT
    #define CYTHON_PEP489_MULTI_PHASE_INIT 0
  #elif !defined(CYTHON_PEP489_MULTI_PHASE_INIT)
    #define CYTHON_PEP489_MULTI_PHASE_INIT 1
  #endif
  #undef CYTHON_USE_MODULE_STATE
  #define CYTHON_USE_MODULE_STATE 0
  #undef CYTHON_USE_TP_FINALIZE
  #define CYTHON_USE_TP_FINALIZE (PY_VERSION_HEX >= 0x030400a1 && PYPY_VERSION_NUM >= 0x07030C00)
  #undef CYTHON_USE_DICT_VERSIONS
  #define CYTHON_USE_DICT_VERSIONS 0
  #undef CYTHON_USE_EXC_INFO_STACK
  #define CYTHON_USE_EXC_INFO_STACK 0
  #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC
    #define CYTHON_UPDATE_DESCRIPTOR_DOC 0
  #endif
#elif defined(CYTHON_LIMITED_API)
  #ifdef Py_LIMITED_API
    #undef __PYX_LIMITED_VERSION_HEX
    #define __PYX_LIMITED_VERSION_HEX Py_LIMITED_API
  #endif
  #define CYTHON_COMPILING_IN_PYPY 0
  #define CYTHON_COMPILING_IN_CPYTHON 0
  #define CYTHON_COMPILING_IN_LIMITED_API 1
  #define CYTHON_COMPILING_IN_GRAAL 0
  #define CYTHON_COMPILING_IN_NOGIL 0
  #undef CYTHON_CLINE_IN_TRACEBACK
  #define CYTHON_CLINE_IN_TRACEBACK 0
  #undef CYTHON_USE_TYPE_SLOTS
  #define CYTHON_USE_TYPE_SLOTS 0
  #undef CYTHON_USE_TYPE_SPECS
  #define CYTHON_USE_TYPE_SPECS 1
  #undef CYTHON_USE_PYTYPE_LOOKUP
  #define CYTHON_USE_PYTYPE_LOOKUP 0
  #undef CYTHON_USE_ASYNC_SLOTS
  #define CYTHON_USE_ASYNC_SLOTS 0
  #undef CYTHON_USE_PYLIST_INTERNALS
  #define CYTHON_USE_PYLIST_INTERNALS 0
  #undef CYTHON_USE_UNICODE_INTERNALS
  #define CYTHON_USE_UNICODE_INTERNALS 0
  #ifndef CYTHON_USE_UNICODE_WRITER
    #define CYTHON_USE_UNICODE_WRITER 0
  #endif
  #undef CYTHON_USE_PYLONG_INTERNALS
  #define CYTHON_USE_PYLONG_INTERNALS 0
  #ifndef CYTHON_AVOID_BORROWED_REFS
    #define CYTHON_AVOID_BORROWED_REFS 0
  #endif
  #undef CYTHON_ASSUME_SAFE_MACROS
  #define CYTHON_ASSUME_SAFE_MACROS 0
  #undef CYTHON_UNPACK_METHODS
  #define CYTHON_UNPACK_METHODS 0
  #undef CYTHON_FAST_THREAD_STATE
  #define CYTHON_FAST_THREAD_STATE 0
  #undef CYTHON_FAST_GIL
  #define CYTHON_FAST_GIL 0
  #undef CYTHON_METH_FASTCALL
  #define CYTHON_METH_FASTCALL 0
  #undef CYTHON_FAST_PYCALL
  #define CYTHON_FAST_PYCALL 0
  #ifndef CYTHON_PEP487_INIT_SUBCLASS
    #define CYTHON_PEP487_INIT_SUBCLASS 1
  #endif
  #undef CYTHON_PEP489_MULTI_PHASE_INIT
  #define CYTHON_PEP489_MULTI_PHASE_INIT 0
  #undef CYTHON_USE_MODULE_STATE
  #define CYTHON_USE_MODULE_STATE 1
  #ifndef CYTHON_USE_TP_FINALIZE
    #define CYTHON_USE_TP_FINALIZE 0
  #endif
  #undef CYTHON_USE_DICT_VERSIONS
  #define CYTHON_USE_DICT_VERSIONS 0
  #undef CYTHON_USE_EXC_INFO_STACK
  #define CYTHON_USE_EXC_INFO_STACK 0
  #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC
    #define CYTHON_UPDATE_DESCRIPTOR_DOC 0
  #endif
#elif defined(Py_GIL_DISABLED) || defined(Py_NOGIL)
  #define CYTHON_COMPILING_IN_PYPY 0
  #define CYTHON_COMPILING_IN_CPYTHON 0
  #define CYTHON_COMPILING_IN_LIMITED_API 0
  #define CYTHON_COMPILING_IN_GRAAL 0
  #define CYTHON_COMPILING_IN_NOGIL 1
  #ifndef CYTHON_USE_TYPE_SLOTS
    #define CYTHON_USE_TYPE_SLOTS 1
  #endif
  #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 && PY_VERSION_HEX < 0x030C00A6)
  #endif
  #ifndef CYTHON_METH_FASTCALL
    #define CYTHON_METH_FASTCALL (PY_VERSION_HEX >= 0x030700A1)
  #endif
  #ifndef CYTHON_FAST_PYCALL
    #define CYTHON_FAST_PYCALL 1
  #endif
  #ifndef CYTHON_PEP487_INIT_SUBCLASS
    #define CYTHON_PEP487_INIT_SUBCLASS 1
  #endif
  #if PY_VERSION_HEX < 0x03050000
    #undef CYTHON_PEP489_MULTI_PHASE_INIT
    #define CYTHON_PEP489_MULTI_PHASE_INIT 0
  #elif !defined(CYTHON_PEP489_MULTI_PHASE_INIT)
    #define CYTHON_PEP489_MULTI_PHASE_INIT 1
  #endif
  #ifndef CYTHON_USE_MODULE_STATE
    #define CYTHON_USE_MODULE_STATE 0
  #endif
  #if PY_VERSION_HEX < 0x030400a1
    #undef CYTHON_USE_TP_FINALIZE
    #define CYTHON_USE_TP_FINALIZE 0
  #elif !defined(CYTHON_USE_TP_FINALIZE)
    #define CYTHON_USE_TP_FINALIZE 1
  #endif
  #if PY_VERSION_HEX < 0x030600B1
    #undef CYTHON_USE_DICT_VERSIONS
    #define CYTHON_USE_DICT_VERSIONS 0
  #elif !defined(CYTHON_USE_DICT_VERSIONS)
    #define CYTHON_USE_DICT_VERSIONS  (PY_VERSION_HEX < 0x030C00A5)
  #endif
  #if PY_VERSION_HEX < 0x030700A3
    #undef CYTHON_USE_EXC_INFO_STACK
    #define CYTHON_USE_EXC_INFO_STACK 0
  #elif !defined(CYTHON_USE_EXC_INFO_STACK)
    #define CYTHON_USE_EXC_INFO_STACK 1
  #endif
  #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC
    #define CYTHON_UPDATE_DESCRIPTOR_DOC 1
  #endif
#endif
#if !defined(CYTHON_FAST_PYCCALL)
#define CYTHON_FAST_PYCCALL  (CYTHON_FAST_PYCALL && PY_VERSION_HEX >= 0x030600B1)
#endif
#if !defined(CYTHON_VECTORCALL)
#define CYTHON_VECTORCALL  (CYTHON_FAST_PYCCALL && PY_VERSION_HEX >= 0x030800B1)
#endif
#define CYTHON_BACKPORT_VECTORCALL (CYTHON_METH_FASTCALL && PY_VERSION_HEX < 0x030800B1)
#if CYTHON_USE_PYLONG_INTERNALS
  #if PY_MAJOR_VERSION < 3
    #include "longintrepr.h"
  #endif
  #undef SHIFT
  #undef BASE
  #undef MASK
  #ifdef SIZEOF_VOID_P
    enum { __pyx_check_sizeof_voidp = 1 / (int)(SIZEOF_VOID_P == sizeof(void*)) };
  #endif
#endif
#ifndef __has_attribute
  #define __has_attribute(x) 0
#endif
#ifndef __has_cpp_attribute
  #define __has_cpp_attribute(x) 0
#endif
#ifndef CYTHON_RESTRICT
  #if defined(__GNUC__)
    #define CYTHON_RESTRICT __restrict__
  #elif defined(_MSC_VER) && _MSC_VER >= 1400
    #define CYTHON_RESTRICT __restrict
  #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define CYTHON_RESTRICT restrict
  #else
    #define CYTHON_RESTRICT
  #endif
#endif
#ifndef CYTHON_UNUSED
  #if defined(__cplusplus)
    /* for clang __has_cpp_attribute(maybe_unused) is true even before C++17
     * but leads to warnings with -pedantic, since it is a C++17 feature */
    #if ((defined(_MSVC_LANG) && _MSVC_LANG >= 201703L) || __cplusplus >= 201703L)
      #if __has_cpp_attribute(maybe_unused)
        #define CYTHON_UNUSED [[maybe_unused]]
      #endif
    #endif
  #endif
#endif
#ifndef CYTHON_UNUSED
# if defined(__GNUC__)
#   if !(defined(__cplusplus)) || (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 4))
#     define CYTHON_UNUSED __attribute__ ((__unused__))
#   else
#     define CYTHON_UNUSED
#   endif
# elif defined(__ICC) || (defined(__INTEL_COMPILER) && !defined(_MSC_VER))
#   define CYTHON_UNUSED __attribute__ ((__unused__))
# else
#   define CYTHON_UNUSED
# endif
#endif
#ifndef CYTHON_UNUSED_VAR
#  if defined(__cplusplus)
     template<class T> void CYTHON_UNUSED_VAR( const T& ) { }
#  else
#    define CYTHON_UNUSED_VAR(x) (void)(x)
#  endif
#endif
#ifndef CYTHON_MAYBE_UNUSED_VAR
  #define CYTHON_MAYBE_UNUSED_VAR(x) CYTHON_UNUSED_VAR(x)
#endif
#ifndef CYTHON_NCP_UNUSED
# if CYTHON_COMPILING_IN_CPYTHON
#  define CYTHON_NCP_UNUSED
# else
#  define CYTHON_NCP_UNUSED CYTHON_UNUSED
# endif
#endif
#ifndef CYTHON_USE_CPP_STD_MOVE
  #if defined(__cplusplus) && (\
    __cplusplus >= 201103L || (defined(_MSC_VER) && _MSC_VER >= 1600))
    #define CYTHON_USE_CPP_STD_MOVE 1
  #else
    #define CYTHON_USE_CPP_STD_MOVE 0
  #endif
#endif
#define __Pyx_void_to_None(void_result) ((void)(void_result), Py_INCREF(Py_None), Py_None)
#ifdef _MSC_VER
    #ifndef _MSC_STDINT_H_
        #if _MSC_VER < 1300
            typedef unsigned char     uint8_t;
            typedef unsigned short    uint16_t;
            typedef unsigned int      uint32_t;
        #else
            typedef unsigned __int8   uint8_t;
            typedef unsigned __int16  uint16_t;
            typedef unsigned __int32  uint32_t;
        #endif
    #endif
    #if _MSC_VER < 1300
        #ifdef _WIN64
            typedef unsigned long long  __pyx_uintptr_t;
        #else
            typedef unsigned int        __pyx_uintptr_t;
        #endif
    #else
        #ifdef _WIN64
            typedef unsigned __int64    __pyx_uintptr_t;
        #else
            typedef unsigned __int32    __pyx_uintptr_t;
        #endif
    #endif
#else
    #include <stdint.h>
    typedef uintptr_t  __pyx_uintptr_t;
#endif
#ifndef CYTHON_FALLTHROUGH
  #if defined(__cplusplus)
    /* for clang __has_cpp_attribute(fallthrough) is true even before C++17
     * but leads to warnings with -pedantic, since it is a C++17 feature */
    #if ((defined(_MSVC_LANG) && _MSVC_LANG >= 201703L) || __cplusplus >= 201703L)
      #if __has_cpp_attribute(fallthrough)
        #define CYTHON_FALLTHROUGH [[fallthrough]]
      #endif
    #endif
    #ifndef CYTHON_FALLTHROUGH
      #if __has_cpp_attribute(clang::fallthrough)
        #define CYTHON_FALLTHROUGH [[clang::fallthrough]]
      #elif __has_cpp_attribute(gnu::fallthrough)
        #define CYTHON_FALLTHROUGH [[gnu::fallthrough]]
      #endif
    #endif
  #endif
  #ifndef CYTHON_FALLTHROUGH
    #if __has_attribute(fallthrough)
      #define CYTHON_FALLTHROUGH __attribute__((fallthrough))
    #else
      #define CYTHON_FALLTHROUGH
    #endif
  #endif
  #if defined(__clang__) && defined(__apple_build_version__)
    #if __apple_build_version__ < 7000000
      #undef  CYTHON_FALLTHROUGH
      #define CYTHON_FALLTHROUGH
    #endif
  #endif
#endif
#ifdef __cplusplus
  template <typename T>
  struct __PYX_IS_UNSIGNED_IMPL {static const bool value = T(0) < T(-1);};
  #define __PYX_IS_UNSIGNED(type) (__PYX_IS_UNSIGNED_IMPL<type>::value)
#else
  #define __PYX_IS_UNSIGNED(type) (((type)-1) > 0)
#endif
#if CYTHON_COMPILING_IN_PYPY == 1
  #define __PYX_NEED_TP_PRINT_SLOT  (PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x030A0000)
#else
  #define __PYX_NEED_TP_PRINT_SLOT  (PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000)
#endif
#define __PYX_REINTERPRET_FUNCION(func_pointer, other_pointer) ((func_pointer)(void(*)(void))(other_pointer))

#ifndef __cplusplus
  #error "Cython files generated with the C++ option must be compiled with a C++ compiler."
#endif
#ifndef CYTHON_INLINE
  #if defined(__clang__)
    #define CYTHON_INLINE __inline__ __attribute__ ((__unused__))
  #else
    #define CYTHON_INLINE inline
  #endif
#endif
template<typename T>
void __Pyx_call_destructor(T& x) {
    x.~T();
}
template<typename T>
class __Pyx_FakeReference {
  public:
    __Pyx_FakeReference() : ptr(NULL) { }
    __Pyx_FakeReference(const T& ref) : ptr(const_cast<T*>(&ref)) { }
    T *operator->() { return ptr; }
    T *operator&() { return ptr; }
    operator T&() { return *ptr; }
    template<typename U> bool operator ==(const U& other) const { return *ptr == other; }
    template<typename U> bool operator !=(const U& other) const { return *ptr != other; }
    template<typename U> bool operator==(const __Pyx_FakeReference<U>& other) const { return *ptr == *other.ptr; }
    template<typename U> bool operator!=(const __Pyx_FakeReference<U>& other) const { return *ptr != *other.ptr; }
  private:
    T *ptr;
};

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

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

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

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

#define __PYX_HAVE__PyClical
#define __PYX_HAVE_API__PyClical
/* Early includes */
#include "ios"
#include "new"
#include "stdexcept"
#include "typeinfo"
#include <vector>
#include "PyClical.h"
#include <string.h>
#include <string>
#ifdef _OPENMP
#include <omp.h>
#endif /* _OPENMP */

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

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

#define __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 0
#define __PYX_DEFAULT_STRING_ENCODING_IS_UTF8 0
#define __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT (PY_MAJOR_VERSION >= 3 && __PYX_DEFAULT_STRING_ENCODING_IS_UTF8)
#define __PYX_DEFAULT_STRING_ENCODING ""
#define __Pyx_PyObject_FromString __Pyx_PyBytes_FromString
#define __Pyx_PyObject_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
#define __Pyx_uchar_cast(c) ((unsigned char)c)
#define __Pyx_long_cast(x) ((long)x)
#define __Pyx_fits_Py_ssize_t(v, type, is_signed)  (\
    (sizeof(type) < sizeof(Py_ssize_t))  ||\
    (sizeof(type) > sizeof(Py_ssize_t) &&\
          likely(v < (type)PY_SSIZE_T_MAX ||\
                 v == (type)PY_SSIZE_T_MAX)  &&\
          (!is_signed || likely(v > (type)PY_SSIZE_T_MIN ||\
                                v == (type)PY_SSIZE_T_MIN)))  ||\
    (sizeof(type) == sizeof(Py_ssize_t) &&\
          (is_signed || likely(v < (type)PY_SSIZE_T_MAX ||\
                               v == (type)PY_SSIZE_T_MAX)))  )
static CYTHON_INLINE int __Pyx_is_valid_index(Py_ssize_t i, Py_ssize_t limit) {
    return (size_t) i < (size_t) limit;
}
#if defined (__cplusplus) && __cplusplus >= 201103L
    #include <cstdlib>
    #define __Pyx_sst_abs(value) std::abs(value)
#elif SIZEOF_INT >= SIZEOF_SIZE_T
    #define __Pyx_sst_abs(value) abs(value)
#elif SIZEOF_LONG >= SIZEOF_SIZE_T
    #define __Pyx_sst_abs(value) labs(value)
#elif defined (_MSC_VER)
    #define __Pyx_sst_abs(value) ((Py_ssize_t)_abs64(value))
#elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define __Pyx_sst_abs(value) llabs(value)
#elif defined (__GNUC__)
    #define __Pyx_sst_abs(value) __builtin_llabs(value)
#else
    #define __Pyx_sst_abs(value) ((value<0) ? -value : value)
#endif
static CYTHON_INLINE Py_ssize_t __Pyx_ssize_strlen(const char *s);
static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject*);
static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length);
static CYTHON_INLINE PyObject* __Pyx_PyByteArray_FromString(const char*);
#define __Pyx_PyByteArray_FromStringAndSize(s, l) PyByteArray_FromStringAndSize((const char*)s, l)
#define __Pyx_PyBytes_FromString        PyBytes_FromString
#define __Pyx_PyBytes_FromStringAndSize PyBytes_FromStringAndSize
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char*);
#if PY_MAJOR_VERSION < 3
    #define __Pyx_PyStr_FromString        __Pyx_PyBytes_FromString
    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
#else
    #define __Pyx_PyStr_FromString        __Pyx_PyUnicode_FromString
    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyUnicode_FromStringAndSize
#endif
#define __Pyx_PyBytes_AsWritableString(s)     ((char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsWritableSString(s)    ((signed char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsWritableUString(s)    ((unsigned char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsString(s)     ((const char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsSString(s)    ((const signed char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsUString(s)    ((const unsigned char*) PyBytes_AS_STRING(s))
#define __Pyx_PyObject_AsWritableString(s)    ((char*)(__pyx_uintptr_t) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsWritableSString(s)    ((signed char*)(__pyx_uintptr_t) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsWritableUString(s)    ((unsigned char*)(__pyx_uintptr_t) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsSString(s)    ((const signed char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsUString(s)    ((const unsigned char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_FromCString(s)  __Pyx_PyObject_FromString((const char*)s)
#define __Pyx_PyBytes_FromCString(s)   __Pyx_PyBytes_FromString((const char*)s)
#define __Pyx_PyByteArray_FromCString(s)   __Pyx_PyByteArray_FromString((const char*)s)
#define __Pyx_PyStr_FromCString(s)     __Pyx_PyStr_FromString((const char*)s)
#define __Pyx_PyUnicode_FromCString(s) __Pyx_PyUnicode_FromString((const char*)s)
#if CYTHON_COMPILING_IN_LIMITED_API
static CYTHON_INLINE size_t __Pyx_Py_UNICODE_strlen(const wchar_t *u)
{
    const wchar_t *u_end = u;
    while (*u_end++) ;
    return (size_t)(u_end - u - 1);
}
#else
static CYTHON_INLINE size_t __Pyx_Py_UNICODE_strlen(const Py_UNICODE *u)
{
    const Py_UNICODE *u_end = u;
    while (*u_end++) ;
    return (size_t)(u_end - u - 1);
}
#endif
#define __Pyx_PyUnicode_FromOrdinal(o)       PyUnicode_FromOrdinal((int)o)
#define __Pyx_PyUnicode_FromUnicode(u)       PyUnicode_FromUnicode(u, __Pyx_Py_UNICODE_strlen(u))
#define __Pyx_PyUnicode_FromUnicodeAndLength PyUnicode_FromUnicode
#define __Pyx_PyUnicode_AsUnicode            PyUnicode_AsUnicode
#define __Pyx_NewRef(obj) (Py_INCREF(obj), obj)
#define __Pyx_Owned_Py_None(b) __Pyx_NewRef(Py_None)
static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b);
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject*);
static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject*);
static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x);
#define __Pyx_PySequence_Tuple(obj)\
    (likely(PyTuple_CheckExact(obj)) ? __Pyx_NewRef(obj) : PySequence_Tuple(obj))
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t);
static CYTHON_INLINE Py_hash_t __Pyx_PyIndex_AsHash_t(PyObject*);
#if CYTHON_ASSUME_SAFE_MACROS
#define __pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x))
#else
#define __pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x)
#endif
#define __pyx_PyFloat_AsFloat(x) ((float) __pyx_PyFloat_AsDouble(x))
#if PY_MAJOR_VERSION >= 3
#define __Pyx_PyNumber_Int(x) (PyLong_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Long(x))
#else
#define __Pyx_PyNumber_Int(x) (PyInt_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Int(x))
#endif
#if CYTHON_USE_PYLONG_INTERNALS
  #if PY_VERSION_HEX >= 0x030C00A7
  #ifndef _PyLong_SIGN_MASK
    #define _PyLong_SIGN_MASK 3
  #endif
  #ifndef _PyLong_NON_SIZE_BITS
    #define _PyLong_NON_SIZE_BITS 3
  #endif
  #define __Pyx_PyLong_Sign(x)  (((PyLongObject*)x)->long_value.lv_tag & _PyLong_SIGN_MASK)
  #define __Pyx_PyLong_IsNeg(x)  ((__Pyx_PyLong_Sign(x) & 2) != 0)
  #define __Pyx_PyLong_IsNonNeg(x)  (!__Pyx_PyLong_IsNeg(x))
  #define __Pyx_PyLong_IsZero(x)  (__Pyx_PyLong_Sign(x) & 1)
  #define __Pyx_PyLong_IsPos(x)  (__Pyx_PyLong_Sign(x) == 0)
  #define __Pyx_PyLong_CompactValueUnsigned(x)  (__Pyx_PyLong_Digits(x)[0])
  #define __Pyx_PyLong_DigitCount(x)  ((Py_ssize_t) (((PyLongObject*)x)->long_value.lv_tag >> _PyLong_NON_SIZE_BITS))
  #define __Pyx_PyLong_SignedDigitCount(x)\
        ((1 - (Py_ssize_t) __Pyx_PyLong_Sign(x)) * __Pyx_PyLong_DigitCount(x))
  #if defined(PyUnstable_Long_IsCompact) && defined(PyUnstable_Long_CompactValue)
    #define __Pyx_PyLong_IsCompact(x)     PyUnstable_Long_IsCompact((PyLongObject*) x)
    #define __Pyx_PyLong_CompactValue(x)  PyUnstable_Long_CompactValue((PyLongObject*) x)
  #else
    #define __Pyx_PyLong_IsCompact(x)     (((PyLongObject*)x)->long_value.lv_tag < (2 << _PyLong_NON_SIZE_BITS))
    #define __Pyx_PyLong_CompactValue(x)  ((1 - (Py_ssize_t) __Pyx_PyLong_Sign(x)) * (Py_ssize_t) __Pyx_PyLong_Digits(x)[0])
  #endif
  typedef Py_ssize_t  __Pyx_compact_pylong;
  typedef size_t  __Pyx_compact_upylong;
  #else
  #define __Pyx_PyLong_IsNeg(x)  (Py_SIZE(x) < 0)
  #define __Pyx_PyLong_IsNonNeg(x)  (Py_SIZE(x) >= 0)
  #define __Pyx_PyLong_IsZero(x)  (Py_SIZE(x) == 0)
  #define __Pyx_PyLong_IsPos(x)  (Py_SIZE(x) > 0)
  #define __Pyx_PyLong_CompactValueUnsigned(x)  ((Py_SIZE(x) == 0) ? 0 : __Pyx_PyLong_Digits(x)[0])
  #define __Pyx_PyLong_DigitCount(x)  __Pyx_sst_abs(Py_SIZE(x))
  #define __Pyx_PyLong_SignedDigitCount(x)  Py_SIZE(x)
  #define __Pyx_PyLong_IsCompact(x)  (Py_SIZE(x) == 0 || Py_SIZE(x) == 1 || Py_SIZE(x) == -1)
  #define __Pyx_PyLong_CompactValue(x)\
        ((Py_SIZE(x) == 0) ? (sdigit) 0 : ((Py_SIZE(x) < 0) ? -(sdigit)__Pyx_PyLong_Digits(x)[0] : (sdigit)__Pyx_PyLong_Digits(x)[0]))
  typedef sdigit  __Pyx_compact_pylong;
  typedef digit  __Pyx_compact_upylong;
  #endif
  #if PY_VERSION_HEX >= 0x030C00A5
  #define __Pyx_PyLong_Digits(x)  (((PyLongObject*)x)->long_value.ob_digit)
  #else
  #define __Pyx_PyLong_Digits(x)  (((PyLongObject*)x)->ob_digit)
  #endif
#endif
#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
#include <string.h>
static int __Pyx_sys_getdefaultencoding_not_ascii;
static int __Pyx_init_sys_getdefaultencoding_params(void) {
    PyObject* sys;
    PyObject* default_encoding = NULL;
    PyObject* ascii_chars_u = NULL;
    PyObject* ascii_chars_b = NULL;
    const char* default_encoding_c;
    sys = PyImport_ImportModule("sys");
    if (!sys) goto bad;
    default_encoding = PyObject_CallMethod(sys, (char*) "getdefaultencoding", NULL);
    Py_DECREF(sys);
    if (!default_encoding) goto bad;
    default_encoding_c = PyBytes_AsString(default_encoding);
    if (!default_encoding_c) goto bad;
    if (strcmp(default_encoding_c, "ascii") == 0) {
        __Pyx_sys_getdefaultencoding_not_ascii = 0;
    } else {
        char ascii_chars[128];
        int c;
        for (c = 0; c < 128; c++) {
            ascii_chars[c] = (char) c;
        }
        __Pyx_sys_getdefaultencoding_not_ascii = 1;
        ascii_chars_u = PyUnicode_DecodeASCII(ascii_chars, 128, NULL);
        if (!ascii_chars_u) goto bad;
        ascii_chars_b = PyUnicode_AsEncodedString(ascii_chars_u, default_encoding_c, NULL);
        if (!ascii_chars_b || !PyBytes_Check(ascii_chars_b) || memcmp(ascii_chars, PyBytes_AS_STRING(ascii_chars_b), 128) != 0) {
            PyErr_Format(
                PyExc_ValueError,
                "This module compiled with c_string_encoding=ascii, but default encoding '%.200s' is not a superset of ascii.",
                default_encoding_c);
            goto bad;
        }
        Py_DECREF(ascii_chars_u);
        Py_DECREF(ascii_chars_b);
    }
    Py_DECREF(default_encoding);
    return 0;
bad:
    Py_XDECREF(default_encoding);
    Py_XDECREF(ascii_chars_u);
    Py_XDECREF(ascii_chars_b);
    return -1;
}
#endif
#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT && PY_MAJOR_VERSION >= 3
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/* Test for GCC > 2.95 */
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static CYTHON_INLINE void __Pyx_pretend_to_initialize(void* ptr) { (void)ptr; }

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

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

static const char *__pyx_f[] = {
  "PyClical.pyx",
  "<stringsource>",
};
/* #### Code section: utility_code_proto_before_types ### */
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#ifndef __PYX_FORCE_INIT_THREADS
  #define __PYX_FORCE_INIT_THREADS 0
#endif

/* #### Code section: numeric_typedefs ### */
/* #### Code section: complex_type_declarations ### */
/* #### Code section: type_declarations ### */

/*--- Type declarations ---*/
struct __pyx_obj_8PyClical_index_set;
struct __pyx_obj_8PyClical_clifford;
struct __pyx_obj_8PyClical___pyx_scope_struct____iter__;
struct __pyx_opt_args_8PyClical_approx_equal;
struct __pyx_opt_args_8PyClical_sqrt;
struct __pyx_opt_args_8PyClical_log;
struct __pyx_opt_args_8PyClical_cos;
struct __pyx_opt_args_8PyClical_acos;
struct __pyx_opt_args_8PyClical_acosh;
struct __pyx_opt_args_8PyClical_sin;
struct __pyx_opt_args_8PyClical_asin;
struct __pyx_opt_args_8PyClical_asinh;
struct __pyx_opt_args_8PyClical_tan;
struct __pyx_opt_args_8PyClical_atan;
struct __pyx_opt_args_8PyClical_atanh;
struct __pyx_opt_args_8PyClical_random_clifford;

/* "PyClical.pyx":1422
 *     return glucat.error_squared(toClifford(lhs), toClifford(rhs), <scalar_t>threshold)
 * 
 * cpdef inline approx_equal(lhs, rhs, threshold=None, tol=None):             # <<<<<<<<<<<<<<
 *     """
 *     Test for approximate equality of multivectors.
 */
struct __pyx_opt_args_8PyClical_approx_equal {
  int __pyx_n;
  PyObject *threshold;
  PyObject *tol;
};

/* "PyClical.pyx":1654
 *     return clifford().wrap( glucat.complexifier(toClifford(obj)) )
 * 
 * cpdef inline sqrt(obj, i = None):             # <<<<<<<<<<<<<<
 *     """
 *     Square root of multivector with optional complexifier.
 */
struct __pyx_opt_args_8PyClical_sqrt {
  int __pyx_n;
  PyObject *i;
};

/* "PyClical.pyx":1691
 *         return clifford().wrap( glucat.exp(toClifford(obj)) )
 * 
 * cpdef inline log(obj,i = None):             # <<<<<<<<<<<<<<
 *     """
 *     Natural logarithm of multivector with optional complexifier.
 */
struct __pyx_opt_args_8PyClical_log {
  int __pyx_n;
  PyObject *i;
};

/* "PyClical.pyx":1714
 *             return clifford().wrap( glucat.log(toClifford(obj)) )
 * 
 * cpdef inline cos(obj,i = None):             # <<<<<<<<<<<<<<
 *     """
 *     Cosine of multivector with optional complexifier.
 */
struct __pyx_opt_args_8PyClical_cos {
  int __pyx_n;
  PyObject *i;
};

/* "PyClical.pyx":1731
 *             return clifford().wrap( glucat.cos(toClifford(obj)) )
 * 
 * cpdef inline acos(obj,i = None):             # <<<<<<<<<<<<<<
 *     """
 *     Inverse cosine of multivector with optional complexifier.
 */
struct __pyx_opt_args_8PyClical_acos {
  int __pyx_n;
  PyObject *i;
};

/* "PyClical.pyx":1768
 *         return clifford().wrap( glucat.cosh(toClifford(obj)) )
 * 
 * cpdef inline acosh(obj,i = None):             # <<<<<<<<<<<<<<
 *     """
 *     Inverse hyperbolic cosine of multivector with optional complexifier.
 */
struct __pyx_opt_args_8PyClical_acosh {
  int __pyx_n;
  PyObject *i;
};

/* "PyClical.pyx":1791
 *             return clifford().wrap( glucat.acosh(toClifford(obj)) )
 * 
 * cpdef inline sin(obj,i = None):             # <<<<<<<<<<<<<<
 *     """
 *     Sine of multivector with optional complexifier.
 */
struct __pyx_opt_args_8PyClical_sin {
  int __pyx_n;
  PyObject *i;
};

/* "PyClical.pyx":1810
 *             return clifford().wrap( glucat.sin(toClifford(obj)) )
 * 
 * cpdef inline asin(obj,i = None):             # <<<<<<<<<<<<<<
 *     """
 *     Inverse sine of multivector with optional complexifier.
 */
struct __pyx_opt_args_8PyClical_asin {
  int __pyx_n;
  PyObject *i;
};

/* "PyClical.pyx":1845
 *         return clifford().wrap( glucat.sinh(toClifford(obj)) )
 * 
 * cpdef inline asinh(obj,i = None):             # <<<<<<<<<<<<<<
 *     """
 *     Inverse hyperbolic sine of multivector with optional complexifier.
 */
struct __pyx_opt_args_8PyClical_asinh {
  int __pyx_n;
  PyObject *i;
};

/* "PyClical.pyx":1864
 *             return clifford().wrap( glucat.asinh(toClifford(obj)) )
 * 
 * cpdef inline tan(obj,i = None):             # <<<<<<<<<<<<<<
 *     """
 *     Tangent of multivector with optional complexifier.
 */
struct __pyx_opt_args_8PyClical_tan {
  int __pyx_n;
  PyObject *i;
};

/* "PyClical.pyx":1881
 *             return clifford().wrap( glucat.tan(toClifford(obj)) )
 * 
 * cpdef inline atan(obj,i = None):             # <<<<<<<<<<<<<<
 *     """
 *     Inverse tangent of multivector with optional complexifier.
 */
struct __pyx_opt_args_8PyClical_atan {
  int __pyx_n;
  PyObject *i;
};

/* "PyClical.pyx":1910
 *         return clifford().wrap( glucat.tanh(toClifford(obj)) )
 * 
 * cpdef inline atanh(obj,i = None):             # <<<<<<<<<<<<<<
 *     """
 *     Inverse hyperbolic tangent of multivector with optional complexifier.
 */
struct __pyx_opt_args_8PyClical_atanh {
  int __pyx_n;
  PyObject *i;
};

/* "PyClical.pyx":1927
 *             return clifford().wrap( glucat.atanh(toClifford(obj)) )
 * 
 * cpdef inline random_clifford(index_set ixt, fill = 1.0):             # <<<<<<<<<<<<<<
 *     """
 *     Random multivector within a frame.
 */
struct __pyx_opt_args_8PyClical_random_clifford {
  int __pyx_n;
  PyObject *fill;
};

/* "PyClical.pyx":38
 * 
 * # Forward reference
 * cdef class index_set             # <<<<<<<<<<<<<<
 * 
 * cdef inline IndexSet toIndexSet(obj):
 */
struct __pyx_obj_8PyClical_index_set {
  PyObject_HEAD
  struct __pyx_vtabstruct_8PyClical_index_set *__pyx_vtab;
  IndexSet *instance;
};


/* "PyClical.pyx":532
 * 
 * # Forward reference.
 * cdef class clifford             # <<<<<<<<<<<<<<
 * 
 * cdef inline Clifford toClifford(obj):
 */
struct __pyx_obj_8PyClical_clifford {
  PyObject_HEAD
  struct __pyx_vtabstruct_8PyClical_clifford *__pyx_vtab;
  Clifford *instance;
};


/* "PyClical.pyx":229
 *         return self.instance.getitem(idx)
 * 
 *     def __iter__(self):             # <<<<<<<<<<<<<<
 *         """
 *         Iterate over the indices of an index_set.
 */
struct __pyx_obj_8PyClical___pyx_scope_struct____iter__ {
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};



/* "PyClical.pyx":46
 *     return index_set(obj).instance[0]
 * 
 * cdef class index_set:             # <<<<<<<<<<<<<<
 *     """
 *     Python class index_set wraps C++ class IndexSet.
 */

struct __pyx_vtabstruct_8PyClical_index_set {
  PyObject *(*wrap)(struct __pyx_obj_8PyClical_index_set *, IndexSet);
  IndexSet (*unwrap)(struct __pyx_obj_8PyClical_index_set *);
  PyObject *(*copy)(struct __pyx_obj_8PyClical_index_set *, int __pyx_skip_dispatch);
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static struct __pyx_vtabstruct_8PyClical_index_set *__pyx_vtabptr_8PyClical_index_set;
static CYTHON_INLINE PyObject *__pyx_f_8PyClical_9index_set_wrap(struct __pyx_obj_8PyClical_index_set *, IndexSet);
static CYTHON_INLINE IndexSet __pyx_f_8PyClical_9index_set_unwrap(struct __pyx_obj_8PyClical_index_set *);


/* "PyClical.pyx":537
 *     return clifford(obj).instance[0]
 * 
 * cdef class clifford:             # <<<<<<<<<<<<<<
 *     """
 *     Python class clifford wraps C++ class Clifford.
 */

struct __pyx_vtabstruct_8PyClical_clifford {
  PyObject *(*wrap)(struct __pyx_obj_8PyClical_clifford *, Clifford);
  Clifford (*unwrap)(struct __pyx_obj_8PyClical_clifford *);
  PyObject *(*copy)(struct __pyx_obj_8PyClical_clifford *, int __pyx_skip_dispatch);
};
static struct __pyx_vtabstruct_8PyClical_clifford *__pyx_vtabptr_8PyClical_clifford;
static CYTHON_INLINE PyObject *__pyx_f_8PyClical_8clifford_wrap(struct __pyx_obj_8PyClical_clifford *, Clifford);
static CYTHON_INLINE Clifford __pyx_f_8PyClical_8clifford_unwrap(struct __pyx_obj_8PyClical_clifford *);
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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

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

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

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

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

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

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

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

/* 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);

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

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

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

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

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

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

/* PyObject_Str.proto */
#define __Pyx_PyObject_Str(obj)\
    (likely(PyString_CheckExact(obj)) ? __Pyx_NewRef(obj) : PyObject_Str(obj))

/* UnicodeConcatInPlace.proto */
# if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
    #if CYTHON_REFNANNY
        #define __Pyx_PyUnicode_ConcatInPlace(left, right) __Pyx_PyUnicode_ConcatInPlaceImpl(&left, right, __pyx_refnanny)
    #else
        #define __Pyx_PyUnicode_ConcatInPlace(left, right) __Pyx_PyUnicode_ConcatInPlaceImpl(&left, right)
    #endif
    static CYTHON_INLINE PyObject *__Pyx_PyUnicode_ConcatInPlaceImpl(PyObject **p_left, PyObject *right
        #if CYTHON_REFNANNY
        , void* __pyx_refnanny
        #endif
    );
#else
#define __Pyx_PyUnicode_ConcatInPlace __Pyx_PyUnicode_Concat
#endif
#define __Pyx_PyUnicode_ConcatInPlaceSafe(left, right) ((unlikely((left) == Py_None) || unlikely((right) == Py_None)) ?\
    PyNumber_InPlaceAdd(left, right) : __Pyx_PyUnicode_ConcatInPlace(left, right))

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

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

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

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

/* MoveIfSupported.proto */
#if CYTHON_USE_CPP_STD_MOVE
  #include <utility>
  #define __PYX_STD_MOVE_IF_SUPPORTED(x) std::move(x)
#else
  #define __PYX_STD_MOVE_IF_SUPPORTED(x) x
#endif

/* IncludeCppStringH.proto */
#include <string>

/* decode_c_string_utf16.proto */
static CYTHON_INLINE PyObject *__Pyx_PyUnicode_DecodeUTF16(const char *s, Py_ssize_t size, const char *errors) {
    int byteorder = 0;
    return PyUnicode_DecodeUTF16(s, size, errors, &byteorder);
}
static CYTHON_INLINE PyObject *__Pyx_PyUnicode_DecodeUTF16LE(const char *s, Py_ssize_t size, const char *errors) {
    int byteorder = -1;
    return PyUnicode_DecodeUTF16(s, size, errors, &byteorder);
}
static CYTHON_INLINE PyObject *__Pyx_PyUnicode_DecodeUTF16BE(const char *s, Py_ssize_t size, const char *errors) {
    int byteorder = 1;
    return PyUnicode_DecodeUTF16(s, size, errors, &byteorder);
}

/* decode_c_bytes.proto */
static CYTHON_INLINE PyObject* __Pyx_decode_c_bytes(
         const char* cstring, Py_ssize_t length, Py_ssize_t start, Py_ssize_t stop,
         const char* encoding, const char* errors,
         PyObject* (*decode_func)(const char *s, Py_ssize_t size, const char *errors));

/* decode_cpp_string.proto */
static CYTHON_INLINE PyObject* __Pyx_decode_cpp_string(
         std::string cppstring, Py_ssize_t start, Py_ssize_t stop,
         const char* encoding, const char* errors,
         PyObject* (*decode_func)(const char *s, Py_ssize_t size, const char *errors)) {
    return __Pyx_decode_c_bytes(
        cppstring.data(), cppstring.size(), start, stop, encoding, errors, decode_func);
}

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

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

/* 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);

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

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

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

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

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

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

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

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

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

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

/* SetVTable.proto */
static int __Pyx_SetVtable(PyTypeObject* typeptr , void* vtable);

/* GetVTable.proto */
static void* __Pyx_GetVtable(PyTypeObject *type);

/* MergeVTables.proto */
#if !CYTHON_COMPILING_IN_LIMITED_API
static int __Pyx_MergeVtables(PyTypeObject *type);
#endif

/* SetupReduce.proto */
#if !CYTHON_COMPILING_IN_LIMITED_API
static int __Pyx_setup_reduce(PyObject* type_obj);
#endif

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

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

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

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

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

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

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

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

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

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

/* CppExceptionConversion.proto */
#ifndef __Pyx_CppExn2PyErr
#include <new>
#include <typeinfo>
#include <stdexcept>
#include <ios>
static void __Pyx_CppExn2PyErr() {
  try {
    if (PyErr_Occurred())
      ; // let the latest Python exn pass through and ignore the current one
    else
      throw;
  } catch (const std::bad_alloc& exn) {
    PyErr_SetString(PyExc_MemoryError, exn.what());
  } catch (const std::bad_cast& exn) {
    PyErr_SetString(PyExc_TypeError, exn.what());
  } catch (const std::bad_typeid& exn) {
    PyErr_SetString(PyExc_TypeError, exn.what());
  } catch (const std::domain_error& exn) {
    PyErr_SetString(PyExc_ValueError, exn.what());
  } catch (const std::invalid_argument& exn) {
    PyErr_SetString(PyExc_ValueError, exn.what());
  } catch (const std::ios_base::failure& exn) {
    PyErr_SetString(PyExc_IOError, exn.what());
  } catch (const std::out_of_range& exn) {
    PyErr_SetString(PyExc_IndexError, exn.what());
  } catch (const std::overflow_error& exn) {
    PyErr_SetString(PyExc_OverflowError, exn.what());
  } catch (const std::range_error& exn) {
    PyErr_SetString(PyExc_ArithmeticError, exn.what());
  } catch (const std::underflow_error& exn) {
    PyErr_SetString(PyExc_ArithmeticError, exn.what());
  } catch (const std::exception& exn) {
    PyErr_SetString(PyExc_RuntimeError, exn.what());
  }
  catch (...)
  {
    PyErr_SetString(PyExc_RuntimeError, "Unknown exception");
  }
}
#endif

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

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

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

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

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

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

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

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

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

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

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

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

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

/* #### Code section: module_declarations ### */
static CYTHON_INLINE PyObject *__pyx_f_8PyClical_9index_set_wrap(struct __pyx_obj_8PyClical_index_set *__pyx_v_self, IndexSet __pyx_v_other); /* proto*/
static CYTHON_INLINE IndexSet __pyx_f_8PyClical_9index_set_unwrap(struct __pyx_obj_8PyClical_index_set *__pyx_v_self); /* proto*/
static PyObject *__pyx_f_8PyClical_9index_set_copy(struct __pyx_obj_8PyClical_index_set *__pyx_v_self, int __pyx_skip_dispatch); /* proto*/
static CYTHON_INLINE PyObject *__pyx_f_8PyClical_8clifford_wrap(struct __pyx_obj_8PyClical_clifford *__pyx_v_self, Clifford __pyx_v_other); /* proto*/
static CYTHON_INLINE Clifford __pyx_f_8PyClical_8clifford_unwrap(struct __pyx_obj_8PyClical_clifford *__pyx_v_self); /* proto*/
static PyObject *__pyx_f_8PyClical_8clifford_copy(struct __pyx_obj_8PyClical_clifford *__pyx_v_self, int __pyx_skip_dispatch); /* proto*/

/* Module declarations from "libcpp.vector" */

/* Module declarations from "glucat" */

/* Module declarations from "libc.string" */

/* Module declarations from "libcpp.string" */

/* Module declarations from "PyClical" */
static CYTHON_INLINE IndexSet __pyx_f_8PyClical_toIndexSet(PyObject *); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_8PyClical_compare(PyObject *, PyObject *, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_8PyClical_min_neg(PyObject *, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_8PyClical_max_pos(PyObject *, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE std::vector<scalar_t>  __pyx_f_8PyClical_list_to_vector(PyObject *); /*proto*/
static CYTHON_INLINE Clifford __pyx_f_8PyClical_toClifford(PyObject *); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_8PyClical_error_squared_tol(PyObject *, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_8PyClical_error_squared(PyObject *, PyObject *, PyObject *, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_8PyClical_approx_equal(PyObject *, PyObject *, int __pyx_skip_dispatch, struct __pyx_opt_args_8PyClical_approx_equal *__pyx_optional_args); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_8PyClical_inv(PyObject *, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_8PyClical_scalar(PyObject *, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_8PyClical_real(PyObject *, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_8PyClical_imag(PyObject *, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_8PyClical_pure(PyObject *, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_8PyClical_even(PyObject *, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_8PyClical_odd(PyObject *, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_8PyClical_involute(PyObject *, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_8PyClical_reverse(PyObject *, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_8PyClical_conj(PyObject *, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_8PyClical_quad(PyObject *, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_8PyClical_norm(PyObject *, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_8PyClical_abs(PyObject *, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_8PyClical_max_abs(PyObject *, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_8PyClical_pow(PyObject *, PyObject *, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_8PyClical_outer_pow(PyObject *, PyObject *, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_8PyClical_complexifier(PyObject *, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_8PyClical_sqrt(PyObject *, int __pyx_skip_dispatch, struct __pyx_opt_args_8PyClical_sqrt *__pyx_optional_args); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_8PyClical_exp(PyObject *, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_8PyClical_log(PyObject *, int __pyx_skip_dispatch, struct __pyx_opt_args_8PyClical_log *__pyx_optional_args); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_8PyClical_cos(PyObject *, int __pyx_skip_dispatch, struct __pyx_opt_args_8PyClical_cos *__pyx_optional_args); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_8PyClical_acos(PyObject *, int __pyx_skip_dispatch, struct __pyx_opt_args_8PyClical_acos *__pyx_optional_args); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_8PyClical_cosh(PyObject *, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_8PyClical_acosh(PyObject *, int __pyx_skip_dispatch, struct __pyx_opt_args_8PyClical_acosh *__pyx_optional_args); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_8PyClical_sin(PyObject *, int __pyx_skip_dispatch, struct __pyx_opt_args_8PyClical_sin *__pyx_optional_args); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_8PyClical_asin(PyObject *, int __pyx_skip_dispatch, struct __pyx_opt_args_8PyClical_asin *__pyx_optional_args); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_8PyClical_sinh(PyObject *, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_8PyClical_asinh(PyObject *, int __pyx_skip_dispatch, struct __pyx_opt_args_8PyClical_asinh *__pyx_optional_args); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_8PyClical_tan(PyObject *, int __pyx_skip_dispatch, struct __pyx_opt_args_8PyClical_tan *__pyx_optional_args); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_8PyClical_atan(PyObject *, int __pyx_skip_dispatch, struct __pyx_opt_args_8PyClical_atan *__pyx_optional_args); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_8PyClical_tanh(PyObject *, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_8PyClical_atanh(PyObject *, int __pyx_skip_dispatch, struct __pyx_opt_args_8PyClical_atanh *__pyx_optional_args); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_8PyClical_random_clifford(struct __pyx_obj_8PyClical_index_set *, int __pyx_skip_dispatch, struct __pyx_opt_args_8PyClical_random_clifford *__pyx_optional_args); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_8PyClical_cga3(PyObject *, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_8PyClical_cga3std(PyObject *, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_8PyClical_agc3(PyObject *, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_convert_PyObject_string_to_py_std__in_string(std::string const &); /*proto*/
static CYTHON_INLINE PyObject *__pyx_convert_PyUnicode_string_to_py_std__in_string(std::string const &); /*proto*/
static CYTHON_INLINE PyObject *__pyx_convert_PyStr_string_to_py_std__in_string(std::string const &); /*proto*/
static CYTHON_INLINE PyObject *__pyx_convert_PyBytes_string_to_py_std__in_string(std::string const &); /*proto*/
static CYTHON_INLINE PyObject *__pyx_convert_PyByteArray_string_to_py_std__in_string(std::string const &); /*proto*/
/* #### Code section: typeinfo ### */
/* #### Code section: before_global_var ### */
#define __Pyx_MODULE_NAME "PyClical"
extern int __pyx_module_is_main_PyClical;
int __pyx_module_is_main_PyClical = 0;

/* Implementation of "PyClical" */
/* #### Code section: global_var ### */
static PyObject *__pyx_builtin_IndexError;
static PyObject *__pyx_builtin_RuntimeError;
static PyObject *__pyx_builtin_TypeError;
static PyObject *__pyx_builtin_ValueError;
static PyObject *__pyx_builtin_NotImplemented;
static PyObject *__pyx_builtin_range;
static PyObject *__pyx_builtin_xrange;
/* #### Code section: string_decls ### */
static const char __pyx_k_[] = ".";
static const char __pyx_k_e[] = "e";
static const char __pyx_k_i[] = "i";
static const char __pyx_k_m[] = "m";
static const char __pyx_k_n[] = "n";
static const char __pyx_k_p[] = "p";
static const char __pyx_k_q[] = "q";
static const char __pyx_k__2[] = " ";
static const char __pyx_k__3[] = ":";
static const char __pyx_k__4[] = "\n\t";
static const char __pyx_k__5[] = " (";
static const char __pyx_k__6[] = ", ";
static const char __pyx_k__7[] = ").";
static const char __pyx_k__9[] = "*";
static const char __pyx_k_cl[] = "cl";
static const char __pyx_k_gc[] = "gc";
static const char __pyx_k_pi[] = "pi";
static const char __pyx_k_abc[] = "abc";
static const char __pyx_k_abs[] = "abs";
static const char __pyx_k_cos[] = "cos";
static const char __pyx_k_err[] = "err";
static const char __pyx_k_exp[] = "exp";
static const char __pyx_k_frm[] = "frm";
static const char __pyx_k_inv[] = "inv";
static const char __pyx_k_ist[] = "ist";
static const char __pyx_k_ixt[] = "ixt";
static const char __pyx_k_lhs[] = "lhs";
static const char __pyx_k_log[] = "log";
static const char __pyx_k_lst[] = "lst";
static const char __pyx_k_max[] = "max";
static const char __pyx_k_min[] = "min";
static const char __pyx_k_obj[] = "obj";
static const char __pyx_k_odd[] = "odd";
static const char __pyx_k_pow[] = "pow";
static const char __pyx_k_rhs[] = "rhs";
static const char __pyx_k_sin[] = "sin";
static const char __pyx_k_tan[] = "tan";
static const char __pyx_k_tau[] = "tau";
static const char __pyx_k_tol[] = "tol";
static const char __pyx_k_vec[] = "vec";
static const char __pyx_k_Real[] = "Real";
static const char __pyx_k__113[] = "?";
static const char __pyx_k_acos[] = "acos";
static const char __pyx_k_agc3[] = "agc3";
static const char __pyx_k_args[] = "args";
static const char __pyx_k_asin[] = "asin";
static const char __pyx_k_atan[] = "atan";
static const char __pyx_k_cga3[] = "cga3";
static const char __pyx_k_conj[] = "conj";
static const char __pyx_k_copy[] = "copy";
static const char __pyx_k_cosh[] = "cosh";
static const char __pyx_k_even[] = "even";
static const char __pyx_k_fill[] = "fill";
static const char __pyx_k_from[] = " from ";
static const char __pyx_k_imag[] = "imag";
static const char __pyx_k_iter[] = "__iter__";
static const char __pyx_k_main[] = "__main__";
static const char __pyx_k_math[] = "math";
static const char __pyx_k_name[] = "__name__";
static const char __pyx_k_norm[] = "norm";
static const char __pyx_k_pure[] = "pure";
static const char __pyx_k_quad[] = "quad";
static const char __pyx_k_real[] = "real";
static const char __pyx_k_self[] = "self";
static const char __pyx_k_send[] = "send";
static const char __pyx_k_sinh[] = "sinh";
static const char __pyx_k_spec[] = "__spec__";
static const char __pyx_k_sqrt[] = "sqrt";
static const char __pyx_k_tanh[] = "tanh";
static const char __pyx_k_test[] = "_test";
static const char __pyx_k_UTF_8[] = "UTF-8";
static const char __pyx_k_acosh[] = "acosh";
static const char __pyx_k_asinh[] = "asinh";
static const char __pyx_k_atanh[] = "atanh";
static const char __pyx_k_close[] = "close";
static const char __pyx_k_count[] = "count";
static const char __pyx_k_frame[] = "frame";
static const char __pyx_k_grade[] = "grade";
static const char __pyx_k_isinf[] = "isinf";
static const char __pyx_k_isnan[] = "isnan";
static const char __pyx_k_istpq[] = "istpq";
static const char __pyx_k_limit[] = "limit";
static const char __pyx_k_nbar3[] = "nbar3";
static const char __pyx_k_ninf3[] = "ninf3";
static const char __pyx_k_other[] = "other";
static const char __pyx_k_range[] = "range";
static const char __pyx_k_throw[] = "throw";
static const char __pyx_k_using[] = " using (";
static const char __pyx_k_utf_8[] = "utf-8";
static const char __pyx_k_value[] = " value ";
static const char __pyx_k_enable[] = "enable";
static const char __pyx_k_encode[] = "encode";
static const char __pyx_k_import[] = "__import__";
static const char __pyx_k_reduce[] = "__reduce__";
static const char __pyx_k_result[] = "result";
static const char __pyx_k_scalar[] = "scalar";
static const char __pyx_k_test_2[] = "__test__";
static const char __pyx_k_xrange[] = "xrange";
static const char __pyx_k_cga3std[] = "cga3std";
static const char __pyx_k_compare[] = "compare";
static const char __pyx_k_disable[] = "disable";
static const char __pyx_k_doctest[] = "doctest";
static const char __pyx_k_hash_fn[] = "hash_fn";
static const char __pyx_k_invalid[] = " invalid ";
static const char __pyx_k_max_abs[] = "max_abs";
static const char __pyx_k_max_pos[] = "max_pos";
static const char __pyx_k_min_neg[] = "min_neg";
static const char __pyx_k_numbers[] = "numbers";
static const char __pyx_k_reframe[] = "reframe";
static const char __pyx_k_reverse[] = "reverse";
static const char __pyx_k_testmod[] = "testmod";
static const char __pyx_k_version[] = "__version__";
static const char __pyx_k_Integral[] = "Integral";
static const char __pyx_k_PyClical[] = "PyClical";
static const char __pyx_k_Sequence[] = "Sequence";
static const char __pyx_k_as_frame[] = " as frame:\n\t";
static const char __pyx_k_clifford[] = "clifford";
static const char __pyx_k_getstate[] = "__getstate__";
static const char __pyx_k_involute[] = "involute";
static const char __pyx_k_setstate[] = "__setstate__";
static const char __pyx_k_to_frame[] = " to frame ";
static const char __pyx_k_TypeError[] = "TypeError";
static const char __pyx_k_count_neg[] = "count_neg";
static const char __pyx_k_count_pos[] = "count_pos";
static const char __pyx_k_index_set[] = "index_set";
static const char __pyx_k_isenabled[] = "isenabled";
static const char __pyx_k_outer_pow[] = "outer_pow";
static const char __pyx_k_pyx_state[] = "__pyx_state";
static const char __pyx_k_reduce_ex[] = "__reduce_ex__";
static const char __pyx_k_threshold[] = "threshold";
static const char __pyx_k_truncated[] = "truncated";
static const char __pyx_k_IndexError[] = "IndexError";
static const char __pyx_k_ValueError[] = "ValueError";
static const char __pyx_k_pyx_vtable[] = "__pyx_vtable__";
static const char __pyx_k_collections[] = "collections";
static const char __pyx_k_e_line_1999[] = "e (line 1999)";
static const char __pyx_k_vector_part[] = "vector_part";
static const char __pyx_k_PyClical_pyx[] = "PyClical.pyx";
static const char __pyx_k_RuntimeError[] = "RuntimeError";
static const char __pyx_k_approx_equal[] = "approx_equal";
static const char __pyx_k_clifford_abs[] = "clifford.abs";
static const char __pyx_k_clifford_inv[] = "clifford.inv";
static const char __pyx_k_clifford_odd[] = "clifford.odd";
static const char __pyx_k_clifford_pow[] = "clifford.pow";
static const char __pyx_k_complexifier[] = "complexifier";
static const char __pyx_k_initializing[] = "_initializing";
static const char __pyx_k_is_coroutine[] = "_is_coroutine";
static const char __pyx_k_sign_of_mult[] = "sign_of_mult";
static const char __pyx_k_stringsource[] = "<stringsource>";
static const char __pyx_k_abs_line_1585[] = "abs (line 1585)";
static const char __pyx_k_clifford_conj[] = "clifford.conj";
static const char __pyx_k_clifford_copy[] = "clifford.copy";
static const char __pyx_k_clifford_even[] = "clifford.even";
static const char __pyx_k_clifford_norm[] = "clifford.norm";
static const char __pyx_k_clifford_pure[] = "clifford.pure";
static const char __pyx_k_clifford_quad[] = "clifford.quad";
static const char __pyx_k_cos_line_1714[] = "cos (line 1714)";
static const char __pyx_k_error_squared[] = "error_squared";
static const char __pyx_k_exp_line_1677[] = "exp (line 1677)";
static const char __pyx_k_index_set_max[] = "index_set.max";
static const char __pyx_k_index_set_min[] = "index_set.min";
static const char __pyx_k_inv_line_1441[] = "inv (line 1441)";
static const char __pyx_k_log_line_1691[] = "log (line 1691)";
static const char __pyx_k_odd_line_1509[] = "odd (line 1509)";
static const char __pyx_k_pow_line_1606[] = "pow (line 1606)";
static const char __pyx_k_reduce_cython[] = "__reduce_cython__";
static const char __pyx_k_sin_line_1791[] = "sin (line 1791)";
static const char __pyx_k_tan_line_1864[] = "tan (line 1864)";
static const char __pyx_k_using_invalid[] = " using invalid ";
static const char __pyx_k_Cannot_reframe[] = "Cannot reframe";
static const char __pyx_k_NotImplemented[] = "NotImplemented";
static const char __pyx_k_Not_applicable[] = "Not applicable.";
static const char __pyx_k_acos_line_1731[] = "acos (line 1731)";
static const char __pyx_k_agc3_line_1956[] = "agc3 (line 1956)";
static const char __pyx_k_asin_line_1810[] = "asin (line 1810)";
static const char __pyx_k_atan_line_1881[] = "atan (line 1881)";
static const char __pyx_k_cga3_line_1936[] = "cga3 (line 1936)";
static const char __pyx_k_clifford_frame[] = "clifford.frame";
static const char __pyx_k_clifford_isinf[] = "clifford.isinf";
static const char __pyx_k_clifford_isnan[] = "clifford.isnan";
static const char __pyx_k_conj_line_1548[] = "conj (line 1548)";
static const char __pyx_k_cosh_line_1752[] = "cosh (line 1752)";
static const char __pyx_k_even_line_1500[] = "even (line 1500)";
static const char __pyx_k_imag_line_1478[] = "imag (line 1478)";
static const char __pyx_k_index_set_copy[] = "index_set.copy";
static const char __pyx_k_invalid_string[] = " invalid string ";
static const char __pyx_k_norm_line_1574[] = "norm (line 1574)";
static const char __pyx_k_pure_line_1489[] = "pure (line 1489)";
static const char __pyx_k_quad_line_1563[] = "quad (line 1563)";
static const char __pyx_k_real_line_1467[] = "real (line 1467)";
static const char __pyx_k_scalar_epsilon[] = "scalar_epsilon";
static const char __pyx_k_sign_of_square[] = "sign_of_square";
static const char __pyx_k_sinh_line_1831[] = "sinh (line 1831)";
static const char __pyx_k_sqrt_line_1654[] = "sqrt (line 1654)";
static const char __pyx_k_tanh_line_1898[] = "tanh (line 1898)";
static const char __pyx_k_acosh_line_1768[] = "acosh (line 1768)";
static const char __pyx_k_asinh_line_1845[] = "asinh (line 1845)";
static const char __pyx_k_atanh_line_1910[] = "atanh (line 1910)";
static const char __pyx_k_clifford_scalar[] = "clifford.scalar";
static const char __pyx_k_index_set_count[] = "index_set.count";
static const char __pyx_k_istpq_line_2012[] = "istpq (line 2012)";
static const char __pyx_k_random_clifford[] = "random_clifford";
static const char __pyx_k_setstate_cython[] = "__setstate_cython__";
static const char __pyx_k_clifford_max_abs[] = "clifford.max_abs";
static const char __pyx_k_clifford_reframe[] = "clifford.reframe";
static const char __pyx_k_clifford_reverse[] = "clifford.reverse";
static const char __pyx_k_compare_line_492[] = "compare (line 492)";
static const char __pyx_k_error_msg_prefix[] = "error_msg_prefix";
static const char __pyx_k_index_set___iter[] = "index_set.__iter__";
static const char __pyx_k_max_pos_line_513[] = "max_pos (line 513)";
static const char __pyx_k_min_neg_line_504[] = "min_neg (line 504)";
static const char __pyx_k_scalar_line_1456[] = "scalar (line 1456)";
static const char __pyx_k_cga3std_line_1945[] = "cga3std (line 1945)";
static const char __pyx_k_clifford_involute[] = "clifford.involute";
static const char __pyx_k_error_squared_tol[] = "error_squared_tol";
static const char __pyx_k_index_set_hash_fn[] = "index_set.hash_fn";
static const char __pyx_k_max_abs_line_1594[] = "max_abs (line 1594)";
static const char __pyx_k_reverse_line_1533[] = "reverse (line 1533)";
static const char __pyx_k_asyncio_coroutines[] = "asyncio.coroutines";
static const char __pyx_k_clifford_outer_pow[] = "clifford.outer_pow";
static const char __pyx_k_clifford_truncated[] = "clifford.truncated";
static const char __pyx_k_cline_in_traceback[] = "cline_in_traceback";
static const char __pyx_k_involute_line_1518[] = "involute (line 1518)";
static const char __pyx_k_index_set_count_neg[] = "index_set.count_neg";
static const char __pyx_k_index_set_count_pos[] = "index_set.count_pos";
static const char __pyx_k_outer_pow_line_1630[] = "outer_pow (line 1630)";
static const char __pyx_k_clifford_vector_part[] = "clifford.vector_part";
static const char __pyx_k_clifford_inv_line_989[] = "clifford.inv (line 989)";
static const char __pyx_k_approx_equal_line_1422[] = "approx_equal (line 1422)";
static const char __pyx_k_clifford_abs_line_1238[] = "clifford.abs (line 1238)";
static const char __pyx_k_clifford_copy_line_556[] = "clifford.copy (line 556)";
static const char __pyx_k_clifford_odd_line_1133[] = "clifford.odd (line 1133)";
static const char __pyx_k_clifford_pow_line_1043[] = "clifford.pow (line 1043)";
static const char __pyx_k_complexifier_line_1639[] = "complexifier (line 1639)";
static const char __pyx_k_index_set_copy_line_65[] = "index_set.copy (line 65)";
static const char __pyx_k_index_set_max_line_351[] = "index_set.max (line 351)";
static const char __pyx_k_index_set_min_line_342[] = "index_set.min (line 342)";
static const char __pyx_k_index_set_sign_of_mult[] = "index_set.sign_of_mult";
static const char __pyx_k_clifford_conj_line_1201[] = "clifford.conj (line 1201)";
static const char __pyx_k_clifford_even_line_1124[] = "clifford.even (line 1124)";
static const char __pyx_k_clifford_norm_line_1227[] = "clifford.norm (line 1227)";
static const char __pyx_k_clifford_pure_line_1113[] = "clifford.pure (line 1113)";
static const char __pyx_k_clifford_quad_line_1216[] = "clifford.quad (line 1216)";
static const char __pyx_k_error_squared_line_1409[] = "error_squared (line 1409)";
static const char __pyx_k_Unary_print_clifford_1_1[] = "\n        Unary -.\n\n        >>> print(-clifford(\"{1}\"))\n        -{1}\n        ";
static const char __pyx_k_clifford___reduce_cython[] = "clifford.__reduce_cython__";
static const char __pyx_k_clifford_frame_line_1287[] = "clifford.frame (line 1287)";
static const char __pyx_k_clifford_hidden_doctests[] = "clifford_hidden_doctests";
static const char __pyx_k_clifford_isinf_line_1269[] = "clifford.isinf (line 1269)";
static const char __pyx_k_clifford_isnan_line_1278[] = "clifford.isnan (line 1278)";
static const char __pyx_k_index_set_count_line_315[] = "index_set.count (line 315)";
static const char __pyx_k_index_set_sign_of_square[] = "index_set.sign_of_square";
static const char __pyx_k_clifford___add___line_740[] = "clifford.__add__ (line 740)";
static const char __pyx_k_clifford___and___line_872[] = "clifford.__and__ (line 872)";
static const char __pyx_k_clifford___mod___line_833[] = "clifford.__mod__ (line 833)";
static const char __pyx_k_clifford___mul___line_798[] = "clifford.__mul__ (line 798)";
static const char __pyx_k_clifford___neg___line_722[] = "clifford.__neg__ (line 722)";
static const char __pyx_k_clifford___or___line_1002[] = "clifford.__or__ (line 1002)";
static const char __pyx_k_clifford___pos___line_731[] = "clifford.__pos__ (line 731)";
static const char __pyx_k_clifford___sub___line_769[] = "clifford.__sub__ (line 769)";
static const char __pyx_k_clifford___xor___line_911[] = "clifford.__xor__ (line 911)";
static const char __pyx_k_clifford_reframe_line_649[] = "clifford.reframe (line 649)";
static const char __pyx_k_clifford_scalar_line_1102[] = "clifford.scalar (line 1102)";
static const char __pyx_k_index_set___or___line_293[] = "index_set.__or__ (line 293)";
static const char __pyx_k_index_set___reduce_cython[] = "index_set.__reduce_cython__";
static const char __pyx_k_index_set_hidden_doctests[] = "index_set_hidden_doctests";
static const char __pyx_k_random_clifford_line_1927[] = "random_clifford (line 1927)";
static const char __pyx_k_Cannot_take_vector_part_of[] = "Cannot take vector part of ";
static const char __pyx_k_Unary_print_clifford_1_1_2[] = "\n        Unary +.\n\n        >>> print(+clifford(\"{1}\"))\n        {1}\n        ";
static const char __pyx_k_clifford___iadd___line_760[] = "clifford.__iadd__ (line 760)";
static const char __pyx_k_clifford___iand___line_896[] = "clifford.__iand__ (line 896)";
static const char __pyx_k_clifford___idiv___line_974[] = "clifford.__idiv__ (line 974)";
static const char __pyx_k_clifford___imod___line_857[] = "clifford.__imod__ (line 857)";
static const char __pyx_k_clifford___imul___line_820[] = "clifford.__imul__ (line 820)";
static const char __pyx_k_clifford___ior___line_1013[] = "clifford.__ior__ (line 1013)";
static const char __pyx_k_clifford___isub___line_789[] = "clifford.__isub__ (line 789)";
static const char __pyx_k_clifford___iter___line_638[] = "clifford.__iter__ (line 638)";
static const char __pyx_k_clifford___ixor___line_935[] = "clifford.__ixor__ (line 935)";
static const char __pyx_k_clifford___pow___line_1024[] = "clifford.__pow__ (line 1024)";
static const char __pyx_k_clifford___radd___line_751[] = "clifford.__radd__ (line 751)";
static const char __pyx_k_clifford___rand___line_887[] = "clifford.__rand__ (line 887)";
static const char __pyx_k_clifford___rmod___line_848[] = "clifford.__rmod__ (line 848)";
static const char __pyx_k_clifford___rmul___line_811[] = "clifford.__rmul__ (line 811)";
static const char __pyx_k_clifford___rsub___line_780[] = "clifford.__rsub__ (line 780)";
static const char __pyx_k_clifford___rxor___line_926[] = "clifford.__rxor__ (line 926)";
static const char __pyx_k_clifford___setstate_cython[] = "clifford.__setstate_cython__";
static const char __pyx_k_clifford___str___line_1307[] = "clifford.__str__ (line 1307)";
static const char __pyx_k_clifford_max_abs_line_1247[] = "clifford.max_abs (line 1247)";
static const char __pyx_k_clifford_reverse_line_1186[] = "clifford.reverse (line 1186)";
static const char __pyx_k_index_set___and___line_271[] = "index_set.__and__ (line 271)";
static const char __pyx_k_index_set___ior___line_304[] = "index_set.__ior__ (line 304)";
static const char __pyx_k_index_set___str___line_395[] = "index_set.__str__ (line 395)";
static const char __pyx_k_index_set___xor___line_249[] = "index_set.__xor__ (line 249)";
static const char __pyx_k_clifford___call___line_1083[] = "clifford.__call__ (line 1083)";
static const char __pyx_k_clifford___repr___line_1298[] = "clifford.__repr__ (line 1298)";
static const char __pyx_k_clifford_involute_line_1170[] = "clifford.involute (line 1170)";
static const char __pyx_k_error_squared_tol_line_1400[] = "error_squared_tol (line 1400)";
static const char __pyx_k_index_set___iand___line_282[] = "index_set.__iand__ (line 282)";
static const char __pyx_k_index_set___iter___line_229[] = "index_set.__iter__ (line 229)";
static const char __pyx_k_index_set___ixor___line_260[] = "index_set.__ixor__ (line 260)";
static const char __pyx_k_index_set___repr___line_384[] = "index_set.__repr__ (line 384)";
static const char __pyx_k_index_set___setstate_cython[] = "index_set.__setstate_cython__";
static const char __pyx_k_clifford_outer_pow_line_1067[] = "clifford.outer_pow (line 1067)";
static const char __pyx_k_clifford_truncated_line_1258[] = "clifford.truncated (line 1258)";
static const char __pyx_k_index_set_count_neg_line_324[] = "index_set.count_neg (line 324)";
static const char __pyx_k_index_set_count_pos_line_333[] = "index_set.count_pos (line 333)";
static const char __pyx_k_clifford___getitem___line_707[] = "clifford.__getitem__ (line 707)";
static const char __pyx_k_clifford___truediv___line_950[] = "clifford.__truediv__ (line 950)";
static const char __pyx_k_index_set___invert___line_240[] = "index_set.__invert__ (line 240)";
static const char __pyx_k_Abbreviation_for_index_set_q_p[] = "\n    Abbreviation for index_set({-q,...p}).\n\n    >>> print(istpq(2,3))\n    {-3,-2,-1,1,2}\n    ";
static const char __pyx_k_Conjugation_reverse_o_involute[] = "\n        Conjugation, reverse o involute == involute o reverse.\n\n        >>> print((clifford(\"{1}\")).conj())\n        -{1}\n        >>> print((clifford(\"{2}\") * clifford(\"{1}\")).conj())\n        {1,2}\n        >>> print((clifford(\"{1}\") * clifford(\"{2}\")).conj())\n        -{1,2}\n        >>> print(clifford(\"1+{1}+{1,2}\").conj())\n        1-{1}-{1,2}\n        ";
static const char __pyx_k_Contraction_print_2_clifford_2[] = "\n        Contraction.\n\n        >>> print(2 % clifford(\"{2}\"))\n        2{2}\n        ";
static const char __pyx_k_Geometric_product_x_clifford_2[] = "\n        Geometric product.\n\n        >>> x = clifford(2); x *= clifford(\"{2}\"); print(x)\n        2{2}\n        >>> x = clifford(\"{1}\"); x *= clifford(\"{2}\"); print(x)\n        {1,2}\n        >>> x = clifford(\"{1}\"); x *= clifford(\"{1,2}\"); print(x)\n        {2}\n        ";
static const char __pyx_k_Geometric_sum_print_1_clifford[] = "\n        Geometric sum.\n\n        >>> print(1 + clifford(\"{2}\"))\n        1+{2}\n        ";
static const char __pyx_k_Geometric_sum_print_clifford_1[] = "\n        Geometric sum.\n\n        >>> print(clifford(1) + clifford(\"{2}\"))\n        1+{2}\n        >>> print(clifford(\"{1}\") + clifford(\"{2}\"))\n        {1}+{2}\n        ";
static const char __pyx_k_Hyperbolic_sine_of_multivector[] = "\n    Hyperbolic sine of multivector.\n\n    >>> x=clifford(\"{1,2}\") * pi/2; print(sinh(x))\n    {1,2}\n    >>> x=clifford(\"{1,2}\") * pi/6; print(sinh(x))\n    0.5{1,2}\n    ";
static const char __pyx_k_Inner_product_print_2_clifford[] = "\n        Inner product.\n\n        >>> print(2 & clifford(\"{2}\"))\n        0\n        ";
static const char __pyx_k_Inner_product_print_clifford_1[] = "\n        Inner product.\n\n        >>> print(clifford(\"{1}\") & clifford(\"{2}\"))\n        0\n        >>> print(clifford(2) & clifford(\"{2}\"))\n        0\n        >>> print(clifford(\"{1}\") & clifford(\"{1}\"))\n        1\n        >>> print(clifford(\"{1}\") & clifford(\"{1,2}\"))\n        {2}\n        ";
static const char __pyx_k_Inverse_tangent_of_multivector[] = "\n    Inverse tangent of multivector with optional complexifier.\n\n    >>> s=index_set({1,2,3}); x=clifford(\"{1}\"); print(tan(atan(x,s),s))\n    {1}\n    >>> x=clifford(\"{1}\"); print(tan(atan(x)))\n    {1}\n    ";
static const char __pyx_k_Iterate_over_the_indices_of_an[] = "\n        Iterate over the indices of an index_set.\n\n        >>> for i in index_set({-3,4,7}):print(i, end=\",\")\n        -3,4,7,\n        ";
static const char __pyx_k_Maximum_member_index_set_1_1_2[] = "\n        Maximum member.\n\n        >>> index_set({-1,1,2}).max()\n        2\n        ";
static const char __pyx_k_Maximum_positive_index_or_0_if[] = "\n    Maximum positive index, or 0 if none.\n\n    >>> max_pos(index_set({1,2}))\n    2\n    ";
static const char __pyx_k_Minimum_member_index_set_1_1_2[] = "\n        Minimum member.\n\n        >>> index_set({-1,1,2}).min()\n        -1\n        ";
static const char __pyx_k_Minimum_negative_index_or_0_if[] = "\n    Minimum negative index, or 0 if none.\n\n    >>> min_neg(index_set({1,2}))\n    0\n    ";
static const char __pyx_k_Odd_part_of_multivector_sum_of[] = "\n        Odd part of multivector, sum of odd grade terms.\n\n        >>> print(clifford(\"1+{1}+{1,2}\").odd())\n        {1}\n        ";
static const char __pyx_k_Outer_product_power_x_clifford[] = "\n        Outer product power.\n\n        >>> x=clifford(\"2+{1}\"); print(x.outer_pow(0))\n        1\n        >>> x=clifford(\"2+{1}\"); print(x.outer_pow(1))\n        2+{1}\n        >>> x=clifford(\"2+{1}\"); print(x.outer_pow(2))\n        4+4{1}\n        >>> print(clifford(\"1+{1}+{1,2}\").outer_pow(3))\n        1+3{1}+3{1,2}\n\n        ";
static const char __pyx_k_Outer_product_print_2_clifford[] = "\n        Outer product.\n\n        >>> print(2 ^ clifford(\"{2}\"))\n        2{2}\n        ";
static const char __pyx_k_Outer_product_print_clifford_1[] = "\n        Outer product.\n\n        >>> print(clifford(\"{1}\") ^ clifford(\"{2}\"))\n        {1,2}\n        >>> print(clifford(2) ^ clifford(\"{2}\"))\n        2{2}\n        >>> print(clifford(\"{1}\") ^ clifford(\"{1}\"))\n        0\n        >>> print(clifford(\"{1}\") ^ clifford(\"{1,2}\"))\n        0\n        ";
static const char __pyx_k_Power_self_to_the_m_x_clifford[] = "\n        Power: self to the m.\n\n        >>> x=clifford(\"{1}\"); print(x ** 2)\n        1\n        >>> x=clifford(\"2\"); print(x ** 2)\n        4\n        >>> x=clifford(\"2+{1}\"); print(x ** 0)\n        1\n        >>> x=clifford(\"2+{1}\"); print(x ** 1)\n        2+{1}\n        >>> x=clifford(\"2+{1}\"); print(x ** 2)\n        5+4{1}\n        >>> i=clifford(\"{1,2}\"); print(exp(pi/2) * (i ** i))\n        1\n        ";
static const char __pyx_k_Pure_part_print_clifford_1_1_1[] = "\n        Pure part.\n\n        >>> print(clifford(\"1+{1}+{1,2}\").pure())\n        {1}+{1,2}\n        >>> print(clifford(\"{1,2}\").pure())\n        {1,2}\n        ";
static const char __pyx_k_Quadratic_form_rev_x_x_0_print[] = "\n        Quadratic form == (rev(x)*x)(0).\n\n        >>> print(clifford(\"1+{1}+{1,2}\").quad())\n        3.0\n        >>> print(clifford(\"1+{-1}+{1,2}+{1,2,3}\").quad())\n        2.0\n        ";
static const char __pyx_k_Quadratic_norm_error_tolerance[] = "\n    Quadratic norm error tolerance relative to a specific multivector.\n\n    >>> print(error_squared_tol(clifford(\"{1}\")) * 3.0 - error_squared_tol(clifford(\"1{1}-2{2}+3{3}\")))\n    0.0\n    ";
static const char __pyx_k_Set_complement_not_print_index[] = "\n        Set complement: not.\n\n        >>> print(~index_set({-16,-15,-14,-13,-12,-11,-10,-9,-8,-7,-6,-5,-4,-3,-2,-1,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16}))\n        {-32,-31,-30,-29,-28,-27,-26,-25,-24,-23,-22,-21,-20,-19,-18,-17,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32}\n        ";
static const char __pyx_k_Set_union_or_print_index_set_1[] = "\n        Set union: or.\n\n        >>> print(index_set({1}) | index_set({2}))\n        {1,2}\n        >>> print(index_set({1,2}) | index_set({2}))\n        {1,2}\n        ";
static const char __pyx_k_Transform_left_hand_side_using[] = "\n        Transform left hand side, using right hand side as a transformation.\n\n        >>> x=clifford(\"{1,2}\") * pi/2; y=clifford(\"{1}\"); print(y|x)\n        -{1}\n        >>> x=clifford(\"{1,2}\") * pi/2; y=clifford(\"{1}\"); print(y|exp(x))\n        -{1}\n        ";
static const char __pyx_k_clifford___rtruediv___line_965[] = "clifford.__rtruediv__ (line 965)";
static const char __pyx_k_clifford_vector_part_line_1142[] = "clifford.vector_part (line 1142)";
static const char __pyx_k_index_set___getitem___line_191[] = "index_set.__getitem__ (line 191)";
static const char __pyx_k_index_set___setitem___line_179[] = "index_set.__setitem__ (line 179)";
static const char __pyx_k_lexicographic_compare_eg_3_4_5[] = "\n    \"lexicographic compare\" eg. {3,4,5} is less than {3,7,8};\n    -1 if a<b, +1 if a>b, 0 if a==b.\n\n    >>> compare(index_set({1,2}),index_set({-1,3}))\n    -1\n    >>> compare(index_set({-1,4}),index_set({-1,3}))\n    1\n    ";
static const char __pyx_k_Abbreviation_for_clifford_index[] = "\n    Abbreviation for clifford(index_set(obj)).\n\n    >>> print(e(1))\n    {1}\n    >>> print(e(-1))\n    {-1}\n    >>> print(e(0))\n    1\n    ";
static const char __pyx_k_Absolute_value_of_multivector_m[] = "\n    Absolute value of multivector: multivector 2-norm.\n\n    >>> abs(clifford(\"1+{-1}+{1,2}+{1,2,3}\"))\n    2.0\n    ";
static const char __pyx_k_Absolute_value_square_root_of_n[] = "\n        Absolute value: square root of norm.\n\n        >>> clifford(\"1+{-1}+{1,2}+{1,2,3}\").abs()\n        2.0\n        ";
static const char __pyx_k_Cardinality_Number_of_indices_i[] = "\n        Cardinality: Number of indices included in set.\n\n        >>> index_set({-1,1,2}).count()\n        3\n        ";
static const char __pyx_k_Check_if_a_multivector_contains[] = "\n        Check if a multivector contains any infinite values.\n\n        >>> clifford().isinf()\n        False\n        ";
static const char __pyx_k_Contraction_print_clifford_1_cl[] = "\n        Contraction.\n\n        >>> print(clifford(\"{1}\") % clifford(\"{2}\"))\n        0\n        >>> print(clifford(2) % clifford(\"{2}\"))\n        2{2}\n        >>> print(clifford(\"{1}\") % clifford(\"{1}\"))\n        1\n        >>> print(clifford(\"{1}\") % clifford(\"{1,2}\"))\n        {2}\n        ";
static const char __pyx_k_Contraction_x_clifford_1_x_clif[] = "\n        Contraction.\n\n        >>> x = clifford(\"{1}\"); x %= clifford(\"{2}\"); print(x)\n        0\n        >>> x = clifford(2); x %= clifford(\"{2}\"); print(x)\n        2{2}\n        >>> x = clifford(\"{1}\"); x %= clifford(\"{1}\"); print(x)\n        1\n        >>> x = clifford(\"{1}\"); x %= clifford(\"{1,2}\"); print(x)\n        {2}\n        ";
static const char __pyx_k_Convert_CGA3_null_vector_to_Euc[] = "\n    Convert CGA3 null vector to Euclidean 3D vector using Doran and Lasenby definition.\n\n    >>> x=clifford(\"2{1}+9{2}+{3}\"); print(agc3(cga3(x)))\n    2{1}+9{2}+{3}\n    >>> x=clifford(\"2{1}+9{2}+{3}\"); print(agc3(cga3(x))-x)\n    0\n    ";
static const char __pyx_k_Convert_CGA3_null_vector_to_sta[] = "\n    Convert CGA3 null vector to standard conformal null vector using Doran and Lasenby definition.\n\n    >>> x=clifford(\"2{1}+9{2}+{3}\"); print(cga3std(cga3(x)))\n    87{-1}+4{1}+18{2}+2{3}+85{4}\n    >>> x=clifford(\"2{1}+9{2}+{3}\"); print(cga3std(cga3(x))-cga3(x))\n    0\n    ";
static const char __pyx_k_Convert_Euclidean_3D_multivecto[] = "\n    Convert Euclidean 3D multivector to Conformal Geometric Algebra using Doran and Lasenby definition.\n\n    >>> x=clifford(\"2{1}+9{2}+{3}\"); print(cga3(x))\n    87{-1}+4{1}+18{2}+2{3}+85{4}\n    ";
static const char __pyx_k_Copy_this_clifford_object_x_cli[] = "\n        Copy this clifford object.\n\n        >>> x=clifford(\"1{2}\"); y=x.copy(); print(y)\n        {2}\n        ";
static const char __pyx_k_Copy_this_index_set_object_s_in[] = "\n        Copy this index_set object.\n\n        >>> s=index_set(1); t=s.copy(); print(t)\n        {1}\n        ";
static const char __pyx_k_Cosine_of_multivector_with_opti[] = "\n    Cosine of multivector with optional complexifier.\n\n    >>> x=clifford(\"{1,2}\"); print(cos(acos(x),\"{1,2,3}\"))\n    {1,2}\n    >>> x=clifford(\"{1,2}\"); print(cos(acos(x)))\n    {1,2}\n    ";
static const char __pyx_k_Even_part_of_multivector_sum_of[] = "\n        Even part of multivector, sum of even grade terms.\n\n        >>> print(clifford(\"1+{1}+{1,2}\").even())\n        1+{1,2}\n        ";
static const char __pyx_k_Exponential_of_multivector_x_cl[] = "\n    Exponential of multivector.\n\n    >>> x=clifford(\"{1,2}\") * pi/4; print(exp(x))\n    0.7071+0.7071{1,2}\n    >>> x=clifford(\"{1,2}\") * pi/2; print(exp(x))\n    {1,2}\n    ";
static const char __pyx_k_Geometric_difference_print_1_cl[] = "\n        Geometric difference.\n\n        >>> print(1 - clifford(\"{2}\"))\n        1-{2}\n        ";
static const char __pyx_k_Geometric_difference_print_clif[] = "\n        Geometric difference.\n\n        >>> print(clifford(1) - clifford(\"{2}\"))\n        1-{2}\n        >>> print(clifford(\"{1}\") - clifford(\"{2}\"))\n        {1}-{2}\n        ";
static const char __pyx_k_Geometric_difference_x_clifford[] = "\n        Geometric difference.\n\n        >>> x = clifford(1); x -= clifford(\"{2}\"); print(x)\n        1-{2}\n        ";
static const char __pyx_k_Geometric_multiplicative_invers[] = "\n        Geometric multiplicative inverse.\n\n        >>> x = clifford(\"{1}\"); print(x.inv())\n        {1}\n        >>> x = clifford(2); print(x.inv())\n        0.5\n        >>> x = clifford(\"{1,2}\"); print(x.inv())\n        -{1,2}\n        ";
static const char __pyx_k_Geometric_product_print_2_cliff[] = "\n        Geometric product.\n\n        >>> print(2 * clifford(\"{2}\"))\n        2{2}\n        ";
static const char __pyx_k_Geometric_product_print_cliffor[] = "\n        Geometric product.\n\n        >>> print(clifford(\"{1}\") * clifford(\"{2}\"))\n        {1,2}\n        >>> print(clifford(2) * clifford(\"{2}\"))\n        2{2}\n        >>> print(clifford(\"{1}\") * clifford(\"{1,2}\"))\n        {2}\n        ";
static const char __pyx_k_Geometric_quotient_print_2_clif[] = "\n        Geometric quotient.\n\n        >>> print(2 / clifford(\"{2}\"))\n        2{2}\n        ";
static const char __pyx_k_Geometric_quotient_print_cliffo[] = "\n        Geometric quotient.\n\n        >>> print(clifford(\"{1}\") / clifford(\"{2}\"))\n        {1,2}\n        >>> print(clifford(2) / clifford(\"{2}\"))\n        2{2}\n        >>> print(clifford(\"{1}\") / clifford(\"{1}\"))\n        1\n        >>> print(clifford(\"{1}\") / clifford(\"{1,2}\"))\n        -{2}\n        ";
static const char __pyx_k_Geometric_quotient_x_clifford_1[] = "\n        Geometric quotient.\n\n        >>> x = clifford(\"{1}\"); x /= clifford(\"{2}\"); print(x)\n        {1,2}\n        >>> x = clifford(2); x /= clifford(\"{2}\"); print(x)\n        2{2}\n        >>> x = clifford(\"{1}\"); x /= clifford(\"{1}\"); print(x)\n        1\n        >>> x = clifford(\"{1}\"); x /= clifford(\"{1,2}\"); print(x)\n        -{2}\n        ";
static const char __pyx_k_Geometric_sum_x_clifford_1_x_cl[] = "\n        Geometric sum.\n\n        >>> x = clifford(1); x += clifford(\"{2}\"); print(x)\n        1+{2}\n        ";
static const char __pyx_k_Get_the_value_of_an_index_set_o[] = "\n        Get the value of an index_set object at an index.\n\n        >>> index_set({1})[1]\n        True\n        >>> index_set({1})[2]\n        False\n        >>> index_set({2})[-1]\n        False\n        >>> index_set({2})[1]\n        False\n        >>> index_set({2})[2]\n        True\n        >>> index_set({2})[33]\n        False\n        ";
static const char __pyx_k_Hyperbolic_cosine_of_multivecto[] = "\n    Hyperbolic cosine of multivector.\n\n    >>> x=clifford(\"{1,2}\") * pi; print(cosh(x))\n    -1\n    >>> x=clifford(\"{1,2,3}\"); print(cosh(acosh(x)))\n    {1,2,3}\n    >>> x=clifford(\"{1,2}\"); print(cosh(acosh(x)))\n    {1,2}\n    ";
static const char __pyx_k_Hyperbolic_tangent_of_multivect[] = "\n    Hyperbolic tangent of multivector.\n\n    >>> x=clifford(\"{1,2}\") * pi/4; print(tanh(x))\n    {1,2}\n    ";
static const char __pyx_k_Imaginary_part_deprecated_alway[] = "\n    Imaginary part: deprecated (always 0).\n\n    >>> imag(clifford(\"1+{1}+{1,2}\"))\n    0.0\n    >>> imag(clifford(\"{1,2}\"))\n    0.0\n    ";
static const char __pyx_k_Inner_product_x_clifford_1_x_cl[] = "\n        Inner product.\n\n        >>> x = clifford(\"{1}\"); x &= clifford(\"{2}\"); print(x)\n        0\n        >>> x = clifford(2); x &= clifford(\"{2}\"); print(x)\n        0\n        >>> x = clifford(\"{1}\"); x &= clifford(\"{1}\"); print(x)\n        1\n        >>> x = clifford(\"{1}\"); x &= clifford(\"{1,2}\"); print(x)\n        {2}\n        ";
static const char __pyx_k_Integer_power_of_multivector_ob[] = "\n    Integer power of multivector: obj to the m.\n\n    >>> x=clifford(\"{1}\"); print(pow(x,2))\n    1\n    >>> x=clifford(\"2\"); print(pow(x,2))\n    4\n    >>> x=clifford(\"2+{1}\"); print(pow(x,0))\n    1\n    >>> x=clifford(\"2+{1}\"); print(pow(x,1))\n    2+{1}\n    >>> x=clifford(\"2+{1}\"); print(pow(x,2))\n    5+4{1}\n    >>> print(pow(clifford(\"1+{1}+{1,2}\"),3))\n    1+3{1}+3{1,2}\n    >>> i=clifford(\"{1,2}\"); print(exp(pi/2) * pow(i, i))\n    1\n    ";
static const char __pyx_k_Inverse_cosine_of_multivector_w[] = "\n    Inverse cosine of multivector with optional complexifier.\n\n    >>> x=clifford(\"{1,2}\"); print(cos(acos(x),\"{1,2,3}\"))\n    {1,2}\n    >>> x=clifford(\"{1,2}\"); print(cos(acos(x),\"{-1,1,2,3,4}\"))\n    {1,2}\n    >>> print(acos(0) / pi)\n    0.5\n    >>> x=clifford(\"{1,2}\"); print(cos(acos(x)))\n    {1,2}\n    ";
static const char __pyx_k_Inverse_hyperbolic_cosine_of_mu[] = "\n    Inverse hyperbolic cosine of multivector with optional complexifier.\n\n    >>> print(acosh(0,\"{-2,-1,1}\"))\n    1.571{-2,-1,1}\n    >>> x=clifford(\"{1,2,3}\"); print(cosh(acosh(x,\"{-1,1,2,3,4}\")))\n    {1,2,3}\n    >>> print(acosh(0))\n    1.571{-1}\n    >>> x=clifford(\"{1,2,3}\"); print(cosh(acosh(x)))\n    {1,2,3}\n    >>> x=clifford(\"{1,2}\"); print(cosh(acosh(x)))\n    {1,2}\n    ";
static const char __pyx_k_Inverse_hyperbolic_sine_of_mult[] = "\n    Inverse hyperbolic sine of multivector with optional complexifier.\n\n    >>> x=clifford(\"{1,2}\"); print(asinh(x,\"{1,2,3}\") * 2/pi)\n    {1,2}\n    >>> x=clifford(\"{1,2}\"); print(asinh(x) * 2/pi)\n    {1,2}\n    >>> x=clifford(\"{1,2}\") / 2; print(asinh(x) * 6/pi)\n    {1,2}\n    ";
static const char __pyx_k_Inverse_hyperbolic_tangent_of_m[] = "\n    Inverse hyperbolic tangent of multivector with optional complexifier.\n\n    >>> s=index_set({1,2,3}); x=clifford(\"{1,2}\"); print(tanh(atanh(x,s)))\n    {1,2}\n    >>> x=clifford(\"{1,2}\"); print(tanh(atanh(x)))\n    {1,2}\n    ";
static const char __pyx_k_Inverse_sine_of_multivector_wit[] = "\n    Inverse sine of multivector with optional complexifier.\n\n    >>> s=\"{-1}\"; x=clifford(s); print(asin(sin(x,s),s))\n    {-1}\n    >>> s=\"{-1}\"; x=clifford(s); print(asin(sin(x,s),\"{-2,-1,1}\"))\n    {-1}\n    >>> print(asin(1) / pi)\n    0.5\n    >>> x=clifford(\"{1,2,3}\"); print(asin(sin(x)))\n    {1,2,3}\n    ";
static const char __pyx_k_Main_involution_each_i_is_repla[] = "\n        Main involution, each {i} is replaced by -{i} in each term,\n        eg. clifford(\"{1}\") -> -clifford(\"{1}\").\n\n        >>> print(clifford(\"{1}\").involute())\n        -{1}\n        >>> print((clifford(\"{2}\") * clifford(\"{1}\")).involute())\n        -{1,2}\n        >>> print((clifford(\"{1}\") * clifford(\"{2}\")).involute())\n        {1,2}\n        >>> print(clifford(\"1+{1}+{1,2}\").involute())\n        1-{1}+{1,2}\n        ";
static const char __pyx_k_Maximum_absolute_value_of_coord[] = "\n    Maximum absolute value of coordinates multivector: multivector infinity-norm.\n\n    >>> max_abs(clifford(\"1+{-1}+{1,2}+{1,2,3}\"))\n    1.0\n    >>> max_abs(clifford(\"3+2{1}+{1,2}\"))\n    3.0\n\n    ";
static const char __pyx_k_Maximum_of_absolute_values_of_c[] = "\n        Maximum of absolute values of components of multivector: multivector infinity norm.\n\n        >>> clifford(\"1+{-1}+{1,2}+{1,2,3}\").max_abs()\n        1.0\n        >>> clifford(\"3+2{1}+{1,2}\").max_abs()\n        3.0\n        ";
static const char __pyx_k_Natural_logarithm_of_multivecto[] = "\n    Natural logarithm of multivector with optional complexifier.\n\n    >>> x=clifford(\"{-1}\"); print((log(x,\"{-1}\") * 2/pi))\n    {-1}\n    >>> x=clifford(\"{1,2}\"); print((log(x,\"{1,2,3}\") * 2/pi))\n    {1,2}\n    >>> x=clifford(\"{1,2}\"); print((log(x) * 2/pi))\n    {1,2}\n    >>> x=clifford(\"{1,2}\"); print((log(x,\"{1,2}\") * 2/pi))\n    Traceback (most recent call last):\n    ...\n    RuntimeError: check_complex(val, i): i is not a valid complexifier for val\n    ";
static const char __pyx_k_Norm_sum_of_squares_of_coordina[] = "\n        Norm == sum of squares of coordinates.\n\n        >>> clifford(\"1+{1}+{1,2}\").norm()\n        3.0\n        >>> clifford(\"1+{-1}+{1,2}+{1,2,3}\").norm()\n        4.0\n        ";
static const char __pyx_k_Not_applicable_for_a_in_cliffor[] = "\n        Not applicable.\n\n        >>> for a in clifford(index_set({-3,4,7})):print(a, end=\",\")\n        Traceback (most recent call last):\n          ...\n        TypeError: Not applicable.\n        ";
static const char __pyx_k_Number_of_negative_indices_incl[] = "\n        Number of negative indices included in set.\n\n        >>> index_set({-1,1,2}).count_neg()\n        1\n        ";
static const char __pyx_k_Number_of_positive_indices_incl[] = "\n        Number of positive indices included in set.\n\n        >>> index_set({-1,1,2}).count_pos()\n        2\n        ";
static const char __pyx_k_Outer_product_power_of_multivec[] = "\n    Outer product power of multivector.\n\n    >>> print(outer_pow(clifford(\"1+{1}+{1,2}\"),3))\n    1+3{1}+3{1,2}\n    ";
static const char __pyx_k_Outer_product_x_clifford_1_x_cl[] = "\n        Outer product.\n\n        >>> x = clifford(\"{1}\"); x ^= clifford(\"{2}\"); print(x)\n        {1,2}\n        >>> x = clifford(2); x ^= clifford(\"{2}\"); print(x)\n        2{2}\n        >>> x = clifford(\"{1}\"); x ^= clifford(\"{1}\"); print(x)\n        0\n        >>> x = clifford(\"{1}\"); x ^= clifford(\"{1,2}\"); print(x)\n        0\n        ";
static const char __pyx_k_Pure_grade_vector_part_print_cl[] = "\n        Pure grade-vector part.\n\n        >>> print(clifford(\"{1}\")(1))\n        {1}\n        >>> print(clifford(\"{1}\")(0))\n        0\n        >>> print(clifford(\"1+{1}+{1,2}\")(0))\n        1\n        >>> print(clifford(\"1+{1}+{1,2}\")(1))\n        {1}\n        >>> print(clifford(\"1+{1}+{1,2}\")(2))\n        {1,2}\n        >>> print(clifford(\"1+{1}+{1,2}\")(3))\n        0\n        ";
static const char __pyx_k_Pure_part_print_pure_clifford_1[] = "\n    Pure part\n\n    >>> print(pure(clifford(\"1+{1}+{1,2}\")))\n    {1}+{1,2}\n    >>> print(pure(clifford(\"{1,2}\")))\n    {1,2}\n    ";
static const char __pyx_k_Put_self_into_a_larger_frame_co[] = "\n        Put self into a larger frame, containing the union of self.frame() and index set ixt.\n        This can be used to make multiplication faster, by multiplying within a common frame.\n\n        >>> clifford(\"2+3{1}\").reframe(index_set({1,2,3}))\n        clifford(\"2+3{1}\")\n        >>> s=index_set({1,2,3});t=index_set({-3,-2,-1});x=random_clifford(s); x.reframe(t).frame() == (s|t);\n        True\n        ";
static const char __pyx_k_Random_multivector_within_a_fra[] = "\n    Random multivector within a frame.\n\n    >>> print(random_clifford(index_set({-3,-1,2})).frame())\n    {-3,-1,2}\n    ";
static const char __pyx_k_Real_part_synonym_for_scalar_pa[] = "\n    Real part: synonym for scalar part.\n\n    >>> real(clifford(\"1+{1}+{1,2}\"))\n    1.0\n    >>> real(clifford(\"{1,2}\"))\n    0.0\n    ";
static const char __pyx_k_Relative_or_absolute_error_usin[] = "\n    Relative or absolute error using the quadratic norm.\n\n    >>> err2=scalar_epsilon*scalar_epsilon\n\n    >>> print(error_squared(clifford(\"{1}\"), clifford(\"1{1}\"), err2))\n    0.0\n    >>> print(error_squared(clifford(\"1{1}-3{2}+4{3}\"), clifford(\"{1}\"), err2))\n    25.0\n    ";
static const char __pyx_k_Remove_all_terms_of_self_with_r[] = "\n        Remove all terms of self with relative size smaller than limit.\n\n        >>> clifford(\"1e8+{1}+1e-8{1,2}\").truncated(1.0e-6)\n        clifford(\"100000000\")\n        >>> clifford(\"1e4+{1}+1e-4{1,2}\").truncated(1.0e-6)\n        clifford(\"10000+{1}\")\n        ";
static const char __pyx_k_Reversion_eg_1_2_2_1_print_reve[] = "\n    Reversion, eg. {1}*{2} -> {2}*{1}\n\n    >>> print(reverse(clifford(\"{1}\")))\n    {1}\n    >>> print(reverse(clifford(\"{2}\") * clifford(\"{1}\")))\n    {1,2}\n    >>> print(reverse(clifford(\"{1}\") * clifford(\"{2}\")))\n    -{1,2}\n    >>> print(reverse(clifford(\"1+{1}+{1,2}\")))\n    1+{1}-{1,2}\n    ";
static const char __pyx_k_Reversion_eg_clifford_1_cliffor[] = "\n        Reversion, eg. clifford(\"{1}\")*clifford(\"{2}\") -> clifford(\"{2}\")*clifford(\"{1}\").\n\n        >>> print(clifford(\"{1}\").reverse())\n        {1}\n        >>> print((clifford(\"{2}\") * clifford(\"{1}\")).reverse())\n        {1,2}\n        >>> print((clifford(\"{1}\") * clifford(\"{2}\")).reverse())\n        -{1,2}\n        >>> print(clifford(\"1+{1}+{1,2}\").reverse())\n        1+{1}-{1,2}\n        ";
static const char __pyx_k_Scalar_part_clifford_1_1_1_2_sc[] = "\n        Scalar part.\n\n        >>> clifford(\"1+{1}+{1,2}\").scalar()\n        1.0\n        >>> clifford(\"{1,2}\").scalar()\n        0.0\n        ";
static const char __pyx_k_Scalar_part_scalar_clifford_1_1[] = "\n    Scalar part.\n\n    >>> scalar(clifford(\"1+{1}+{1,2}\"))\n    1.0\n    >>> scalar(clifford(\"{1,2}\"))\n    0.0\n    ";
static const char __pyx_k_Set_intersection_and_print_inde[] = "\n        Set intersection: and.\n\n        >>> print(index_set({1}) & index_set({2}))\n        {}\n        >>> print(index_set({1,2}) & index_set({2}))\n        {2}\n        ";
static const char __pyx_k_Set_intersection_and_x_index_se[] = "\n        Set intersection: and.\n\n        >>> x = index_set({1}); x &= index_set({2}); print(x)\n        {}\n        >>> x = index_set({1,2}); x &= index_set({2}); print(x)\n        {2}\n        ";
static const char __pyx_k_Set_the_value_of_an_index_set_o[] = "\n        Set the value of an index_set object at index idx to value val.\n\n        >>> s=index_set({1}); s[2] = True; print(s)\n        {1,2}\n        >>> s=index_set({1,2}); s[1] = False; print(s)\n        {2}\n        ";
static const char __pyx_k_Set_union_or_x_index_set_1_x_in[] = "\n        Set union: or.\n\n        >>> x = index_set({1}); x |= index_set({2}); print(x)\n        {1,2}\n        >>> x = index_set({1,2}); x |= index_set({2}); print(x)\n        {1,2}\n        ";
static const char __pyx_k_Sign_of_geometric_product_of_tw[] = "\n        Sign of geometric product of two Clifford basis elements.\n\n        >>> s = index_set({1,2}); t=index_set({-1}); s.sign_of_mult(t)\n        1\n        ";
static const char __pyx_k_Sign_of_geometric_square_of_a_C[] = "\n        Sign of geometric square of a Clifford basis element.\n\n        >>> s = index_set({1,2}); s.sign_of_square()\n        -1\n        ";
static const char __pyx_k_Sine_of_multivector_with_option[] = "\n    Sine of multivector with optional complexifier.\n\n    >>> s=\"{-1}\"; x=clifford(s); print(asin(sin(x,s),s))\n    {-1}\n    >>> s=\"{-1}\"; x=clifford(s); print(asin(sin(x,s),\"{-2,-1,1}\"))\n    {-1}\n    >>> x=clifford(\"{1,2,3}\"); print(asin(sin(x)))\n    {1,2,3}\n    ";
static const char __pyx_k_Square_root_of_1_which_commutes[] = "\n    Square root of -1 which commutes with all members of the frame of the given multivector.\n\n    >>> print(complexifier(clifford(index_set({1}))))\n    {1,2,3}\n    >>> print(complexifier(clifford(index_set({-1}))))\n    {-1}\n    >>> print(complexifier(index_set({1})))\n    {1,2,3}\n    >>> print(complexifier(index_set({-1})))\n    {-1}\n    ";
static const char __pyx_k_Square_root_of_multivector_with[] = "\n    Square root of multivector with optional complexifier.\n\n    >>> print(sqrt(-1))\n    {-1}\n    >>> print(sqrt(clifford(\"2{-1}\")))\n    1+{-1}\n    >>> j=sqrt(-1,complexifier(index_set({1}))); print(j); print(j*j)\n    {1,2,3}\n    -1\n    >>> j=sqrt(-1,\"{1,2,3}\"); print(j); print(j*j)\n    {1,2,3}\n    -1\n    ";
static const char __pyx_k_Subalgebra_generated_by_all_gen[] = "\n        Subalgebra generated by all generators of terms of given multivector.\n\n        >>> print(clifford(\"1+3{-1}+2{1,2}+4{-2,7}\").frame())\n        {-2,-1,1,2,7}\n        >>> s=clifford(\"1+3{-1}+2{1,2}+4{-2,7}\").frame(); type(s)\n        <class 'PyClical.index_set'>\n        ";
static const char __pyx_k_Subscripting_map_from_index_set[] = "\n        Subscripting: map from index set to scalar coordinate.\n\n        >>> clifford(\"{1}\")[index_set(1)]\n        1.0\n        >>> clifford(\"{1}\")[index_set({1})]\n        1.0\n        >>> clifford(\"{1}\")[index_set({1,2})]\n        0.0\n        >>> clifford(\"2{1,2}\")[index_set({1,2})]\n        2.0\n        ";
static const char __pyx_k_Symmetric_set_difference_exclus[] = "\n        Symmetric set difference: exclusive or.\n\n        >>> print(index_set({1}) ^ index_set({2}))\n        {1,2}\n        >>> print(index_set({1,2}) ^ index_set({2}))\n        {1}\n        ";
static const char __pyx_k_Tangent_of_multivector_with_opt[] = "\n    Tangent of multivector with optional complexifier.\n\n    >>> x=clifford(\"{1,2}\"); print(tan(x,\"{1,2,3}\"))\n    0.7616{1,2}\n    >>> x=clifford(\"{1,2}\"); print(tan(x))\n    0.7616{1,2}\n    ";
static const char __pyx_k_Test_for_approximate_equality_o[] = "\n    Test for approximate equality of multivectors.\n\n    >>> err2=scalar_epsilon*scalar_epsilon\n\n    >>> print(approx_equal(clifford(\"{1}\"), clifford(\"1{1}\")))\n    True\n    >>> print(approx_equal(clifford(\"1{1}-3{2}+4{3}\"), clifford(\"{1}\")))\n    False\n    >>> print(approx_equal(clifford(\"1{1}-3{2}+4{3}+0.001\"), clifford(\"1{1}-3{2}+4{3}\"), err2, err2))\n    False\n    >>> print(approx_equal(clifford(\"1{1}-3{2}+4{3}+1.0e-30\"), clifford(\"1{1}-3{2}+4{3}\"), err2, err2))\n    True\n    ";
static const char __pyx_k_Tests_for_functions_that_Doctes[] = "\n    Tests for functions that Doctest cannot see.\n\n    For index_set.__cinit__: Construct index_set.\n\n    >>> print(index_set(1))\n    {1}\n    >>> print(index_set({1,2}))\n    {1,2}\n    >>> print(index_set(index_set({1,2})))\n    {1,2}\n    >>> print(index_set({1,2}))\n    {1,2}\n    >>> print(index_set({1,2,1}))\n    {1,2}\n    >>> print(index_set({1,2,1}))\n    {1,2}\n    >>> print(index_set(\"\"))\n    {}\n    >>> print(index_set(\"{\"))\n    Traceback (most recent call last):\n    ...\n    ValueError: Cannot initialize index_set object from invalid string '{'.\n    >>> print(index_set(\"{1\"))\n    Traceback (most recent call last):\n    ...\n    ValueError: Cannot initialize index_set object from invalid string '{1'.\n    >>> print(index_set(\"{1,2,100}\"))\n    Traceback (most recent call last):\n    ...\n    ValueError: Cannot initialize index_set object from invalid string '{1,2,100}'.\n    >>> print(index_set({1,2,100}))\n    Traceback (most recent call last):\n    ...\n    IndexError: Cannot initialize index_set object from invalid {1, 2, 100}.\n    >>> print(index_set([1,2]))\n    Traceback (most recent call last):\n    ...\n    TypeError: Cannot initialize index_set object from <class 'list'>.\n\n    For index_set.__richcmp__: Compare two objects of class index_set.\n\n    >>> index_set(1) == index_set({1})\n    True\n    >>> index_set({1}) != index_set({1})\n    False\n    >>> index_set({1}) != index_set({2})\n    True\n    >>> index_set({1}) == index_set({2})\n    False\n    >>> index_set({1}) < index_set({2})\n    True\n    >>> index_set({1}) <= index_set({2})\n    True\n    >>> index_set({1}) > index_set({2})\n    False\n    >>> index_set({1}) >= index_set({2})\n    False\n    >>> None == index_set({1,2})\n    False\n    >>> None != index_set({1,2})\n    True\n    >>> None < index_set({1,2})\n    False\n    >>> None <= index_set({1,2})\n    False\n    >>> None > index_set({1,2})\n    False\n    >>> None >= index_set({1,2})\n    False\n    >>> ""index_set({1,2}) == None\n    False\n    >>> index_set({1,2}) != None\n    True\n    >>> index_set({1,2}) < None\n    False\n    >>> index_set({1,2}) <= None\n    False\n    >>> index_set({1,2}) > None\n    False\n    >>> index_set({1,2}) >= None\n    False\n    ";
        static const char __pyx_k_The_informal_string_representat[] = "\n        The \342\200\234informal\342\200\235 string representation of self.\n\n        >>> index_set({1,2}).__str__()\n        '{1,2}'\n        >>> str(index_set({1,2}))\n        '{1,2}'\n        ";
        static const char __pyx_k_The_official_string_representat[] = "\n        The \342\200\234official\342\200\235 string representation of self.\n\n        >>> index_set({1,2}).__repr__()\n        'index_set({1,2})'\n        >>> repr(index_set({1,2}))\n        'index_set({1,2})'\n        ";
        static const char __pyx_k_This_comparison_operator_is_not[] = "This comparison operator is not implemented for ";
        static const char __pyx_k_Vector_part_of_multivector_as_a[] = "\n        Vector part of multivector, as a Python list, with respect to frm.\n\n        >>> print(clifford(\"1+2{1}+3{2}+4{1,2}\").vector_part())\n        [2.0, 3.0]\n        >>> print(clifford(\"1+2{1}+3{2}+4{1,2}\").vector_part(index_set({-1,1,2})))\n        [0.0, 2.0, 3.0]\n        ";
        static const char __pyx_k_index_set_sign_of_mult_line_366[] = "index_set.sign_of_mult (line 366)";
        static const char __pyx_k_norm_sum_of_squares_of_coordina[] = "\n    norm == sum of squares of coordinates.\n\n    >>> norm(clifford(\"1+{1}+{1,2}\"))\n    3.0\n    >>> norm(clifford(\"1+{-1}+{1,2}+{1,2,3}\"))\n    4.0\n    ";
        static const char __pyx_k_Cannot_initialize_clifford_objec[] = "Cannot initialize clifford object from";
        static const char __pyx_k_Cannot_initialize_index_set_obje[] = "Cannot initialize index_set object from";
        static const char __pyx_k_Conjugation_reverse_o_involute_2[] = "\n    Conjugation, reverse o involute == involute o reverse.\n\n    >>> print(conj(clifford(\"{1}\")))\n    -{1}\n    >>> print(conj(clifford(\"{2}\") * clifford(\"{1}\")))\n    {1,2}\n    >>> print(conj(clifford(\"{1}\") * clifford(\"{2}\")))\n    -{1,2}\n    >>> print(conj(clifford(\"1+{1}+{1,2}\")))\n    1-{1}-{1,2}\n    ";
        static const char __pyx_k_Odd_part_of_multivector_sum_of_2[] = "\n    Odd part of multivector, sum of odd grade terms.\n\n    >>> print(odd(clifford(\"1+{1}+{1,2}\")))\n    {1}\n    ";
        static const char __pyx_k_Power_self_to_the_m_x_clifford_2[] = "\n        Power: self to the m.\n\n        >>> x=clifford(\"{1}\"); print(x.pow(2))\n        1\n        >>> x=clifford(\"2\"); print(x.pow(2))\n        4\n        >>> x=clifford(\"2+{1}\"); print(x.pow(0))\n        1\n        >>> x=clifford(\"2+{1}\"); print(x.pow(1))\n        2+{1}\n        >>> x=clifford(\"2+{1}\"); print(x.pow(2))\n        5+4{1}\n        >>> print(clifford(\"1+{1}+{1,2}\").pow(3))\n        1+3{1}+3{1,2}\n        >>> i=clifford(\"{1,2}\"); print(exp(pi/2) * i.pow(i))\n        1\n        ";
        static const char __pyx_k_Quadratic_form_rev_x_x_0_print_2[] = "\n    Quadratic form == (rev(x)*x)(0).\n\n    >>> print(quad(clifford(\"1+{1}+{1,2}\")))\n    3.0\n    >>> print(quad(clifford(\"1+{-1}+{1,2}+{1,2,3}\")))\n    2.0\n    ";
        static const char __pyx_k_Transform_left_hand_side_using_2[] = "\n        Transform left hand side, using right hand side as a transformation.\n\n        >>> x=clifford(\"{1,2}\") * pi/2; y=clifford(\"{1}\"); y|=x; print(y)\n        -{1}\n        >>> x=clifford(\"{1,2}\") * pi/2; y=clifford(\"{1}\"); y|=exp(x); print(y)\n        -{1}\n        ";
        static const char __pyx_k_clifford_hidden_doctests_line_13[] = "clifford_hidden_doctests (line 1316)";
        static const char __pyx_k_index_set_hidden_doctests_line_4[] = "index_set_hidden_doctests (line 406)";
        static const char __pyx_k_index_set_sign_of_square_line_37[] = "index_set.sign_of_square (line 375)";
        static const char __pyx_k_no_default___reduce___due_to_non[] = "no default __reduce__ due to non-trivial __cinit__";
        static const char __pyx_k_Check_if_a_multivector_contains_2[] = "\n        Check if a multivector contains any IEEE NaN values.\n\n        >>> clifford().isnan()\n        False\n        ";
        static const char __pyx_k_Even_part_of_multivector_sum_of_2[] = "\n    Even part of multivector, sum of even grade terms.\n\n    >>> print(even(clifford(\"1+{1}+{1,2}\")))\n    1+{1,2}\n    ";
        static const char __pyx_k_Geometric_multiplicative_invers_2[] = "\n    Geometric multiplicative inverse.\n\n    >>> print(inv(clifford(\"{1}\")))\n    {1}\n    >>> print(inv(clifford(\"{-1}\")))\n    -{-1}\n    >>> print(inv(clifford(\"{-2,-1}\")))\n    -{-2,-1}\n    >>> print(inv(clifford(\"{-1}+{1}\")))\n    nan\n    ";
        static const char __pyx_k_Main_involution_each_i_is_repla_2[] = "\n    Main involution, each {i} is replaced by -{i} in each term, eg. {1}*{2} -> (-{2})*(-{1})\n\n    >>> print(involute(clifford(\"{1}\")))\n    -{1}\n    >>> print(involute(clifford(\"{2}\") * clifford(\"{1}\")))\n    -{1,2}\n    >>> print(involute(clifford(\"{1}\") * clifford(\"{2}\")))\n    {1,2}\n    >>> print(involute(clifford(\"1+{1}+{1,2}\")))\n    1-{1}+{1,2}\n    ";
        static const char __pyx_k_Symmetric_set_difference_exclus_2[] = "\n        Symmetric set difference: exclusive or.\n\n        >>> x = index_set({1}); x ^= index_set({2}); print(x)\n        {1,2}\n        >>> x = index_set({1,2}); x ^= index_set({2}); print(x)\n        {1}\n        ";
        static const char __pyx_k_Tests_for_functions_that_Doctes_2[] = "\n    Tests for functions that Doctest cannot see.\n\n    For clifford.__cinit__: Construct an object of type clifford.\n\n    >>> print(clifford(2))\n    2\n    >>> print(clifford(2.0))\n    2\n    >>> print(clifford(1.0e-1))\n    0.1\n    >>> print(clifford(\"2\"))\n    2\n    >>> print(clifford(\"2{1,2,3}\"))\n    2{1,2,3}\n    >>> print(clifford(clifford(\"2{1,2,3}\")))\n    2{1,2,3}\n    >>> print(clifford(\"-{1}\"))\n    -{1}\n    >>> print(clifford(2,index_set({1,2})))\n    2{1,2}\n    >>> print(clifford([2,3],index_set({1,2})))\n    2{1}+3{2}\n    >>> print(clifford([1,2]))\n    Traceback (most recent call last):\n      ...\n    TypeError: Cannot initialize clifford object from <class 'list'>.\n    >>> print(clifford(None))\n    Traceback (most recent call last):\n      ...\n    TypeError: Cannot initialize clifford object from <class 'NoneType'>.\n    >>> print(clifford(None,[1,2]))\n    Traceback (most recent call last):\n      ...\n    TypeError: Cannot initialize clifford object from (<class 'NoneType'>, <class 'list'>).\n    >>> print(clifford([1,2],[1,2]))\n    Traceback (most recent call last):\n      ...\n    TypeError: Cannot initialize clifford object from (<class 'list'>, <class 'list'>).\n    >>> print(clifford(\"\"))\n    Traceback (most recent call last):\n      ...\n    ValueError: Cannot initialize clifford object from invalid string ''.\n    >>> print(clifford(\"{\"))\n    Traceback (most recent call last):\n      ...\n    ValueError: Cannot initialize clifford object from invalid string '{'.\n    >>> print(clifford(\"{1\"))\n    Traceback (most recent call last):\n      ...\n    ValueError: Cannot initialize clifford object from invalid string '{1'.\n    >>> print(clifford(\"+\"))\n    Traceback (most recent call last):\n      ...\n    ValueError: Cannot initialize clifford object from invalid string '+'.\n    >>> print(clifford(\"-\"))\n    Traceback (most recent call last):\n      ...\n    ValueError: Cannot initialize clifford object fro""m invalid string '-'.\n    >>> print(clifford(\"{1}+\"))\n    Traceback (most recent call last):\n      ...\n    ValueError: Cannot initialize clifford object from invalid string '{1}+'.\n\n    For clifford.__richcmp__: Compare objects of type clifford.\n\n    >>> clifford(\"{1}\") == clifford(\"1{1}\")\n    True\n    >>> clifford(\"{1}\") != clifford(\"1.0{1}\")\n    False\n    >>> clifford(\"{1}\") != clifford(\"1.0\")\n    True\n    >>> clifford(\"{1,2}\") == None\n    False\n    >>> clifford(\"{1,2}\") != None\n    True\n    >>> None == clifford(\"{1,2}\")\n    False\n    >>> None != clifford(\"{1,2}\")\n    True\n    ";
                static const char __pyx_k_The_informal_string_representat_2[] = "\n        The \342\200\234informal\342\200\235 string representation of self.\n\n        >>> clifford(\"1+3{-1}+2{1,2}+4{-2,7}\").__str__()\n        '1+3{-1}+2{1,2}+4{-2,7}'\n        ";
                static const char __pyx_k_The_official_string_representat_2[] = "\n        The \342\200\234official\342\200\235 string representation of self.\n\n        >>> clifford(\"1+3{-1}+2{1,2}+4{-2,7}\").__repr__()\n        'clifford(\"1+3{-1}+2{1,2}+4{-2,7}\")'\n        ";
/* #### Code section: decls ### */
static PyObject *__pyx_pf_8PyClical_9index_set_copy(struct __pyx_obj_8PyClical_index_set *__pyx_v_self); /* proto */
static int __pyx_pf_8PyClical_9index_set_2__cinit__(struct __pyx_obj_8PyClical_index_set *__pyx_v_self, PyObject *__pyx_v_other); /* proto */
static void __pyx_pf_8PyClical_9index_set_4__dealloc__(struct __pyx_obj_8PyClical_index_set *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8PyClical_9index_set_6__richcmp__(struct __pyx_obj_8PyClical_index_set *__pyx_v_lhs, PyObject *__pyx_v_rhs, int __pyx_v_op); /* proto */
static int __pyx_pf_8PyClical_9index_set_8__setitem__(struct __pyx_obj_8PyClical_index_set *__pyx_v_self, PyObject *__pyx_v_idx, PyObject *__pyx_v_val); /* proto */
static PyObject *__pyx_pf_8PyClical_9index_set_10__getitem__(struct __pyx_obj_8PyClical_index_set *__pyx_v_self, PyObject *__pyx_v_idx); /* proto */
static int __pyx_pf_8PyClical_9index_set_12__contains__(struct __pyx_obj_8PyClical_index_set *__pyx_v_self, PyObject *__pyx_v_idx); /* proto */
static PyObject *__pyx_pf_8PyClical_9index_set_14__iter__(struct __pyx_obj_8PyClical_index_set *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8PyClical_9index_set_17__invert__(struct __pyx_obj_8PyClical_index_set *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8PyClical_9index_set_19__xor__(struct __pyx_obj_8PyClical_index_set *__pyx_v_lhs, PyObject *__pyx_v_rhs); /* proto */
static PyObject *__pyx_pf_8PyClical_9index_set_21__ixor__(struct __pyx_obj_8PyClical_index_set *__pyx_v_self, PyObject *__pyx_v_rhs); /* proto */
static PyObject *__pyx_pf_8PyClical_9index_set_23__and__(struct __pyx_obj_8PyClical_index_set *__pyx_v_lhs, PyObject *__pyx_v_rhs); /* proto */
static PyObject *__pyx_pf_8PyClical_9index_set_25__iand__(struct __pyx_obj_8PyClical_index_set *__pyx_v_self, PyObject *__pyx_v_rhs); /* proto */
static PyObject *__pyx_pf_8PyClical_9index_set_27__or__(struct __pyx_obj_8PyClical_index_set *__pyx_v_lhs, PyObject *__pyx_v_rhs); /* proto */
static PyObject *__pyx_pf_8PyClical_9index_set_29__ior__(struct __pyx_obj_8PyClical_index_set *__pyx_v_self, PyObject *__pyx_v_rhs); /* proto */
static PyObject *__pyx_pf_8PyClical_9index_set_31count(struct __pyx_obj_8PyClical_index_set *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8PyClical_9index_set_33count_neg(struct __pyx_obj_8PyClical_index_set *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8PyClical_9index_set_35count_pos(struct __pyx_obj_8PyClical_index_set *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8PyClical_9index_set_37min(struct __pyx_obj_8PyClical_index_set *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8PyClical_9index_set_39max(struct __pyx_obj_8PyClical_index_set *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8PyClical_9index_set_41hash_fn(struct __pyx_obj_8PyClical_index_set *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8PyClical_9index_set_43sign_of_mult(struct __pyx_obj_8PyClical_index_set *__pyx_v_self, PyObject *__pyx_v_rhs); /* proto */
static PyObject *__pyx_pf_8PyClical_9index_set_45sign_of_square(struct __pyx_obj_8PyClical_index_set *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8PyClical_9index_set_47__repr__(struct __pyx_obj_8PyClical_index_set *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8PyClical_9index_set_49__str__(struct __pyx_obj_8PyClical_index_set *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8PyClical_9index_set_51__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_8PyClical_index_set *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8PyClical_9index_set_53__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_8PyClical_index_set *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_8PyClical_index_set_hidden_doctests(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_8PyClical_2compare(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs); /* proto */
static PyObject *__pyx_pf_8PyClical_4min_neg(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
static PyObject *__pyx_pf_8PyClical_6max_pos(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_copy(struct __pyx_obj_8PyClical_clifford *__pyx_v_self); /* proto */
static int __pyx_pf_8PyClical_8clifford_2__cinit__(struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_other, PyObject *__pyx_v_ixt); /* proto */
static void __pyx_pf_8PyClical_8clifford_4__dealloc__(struct __pyx_obj_8PyClical_clifford *__pyx_v_self); /* proto */
static int __pyx_pf_8PyClical_8clifford_6__contains__(CYTHON_UNUSED struct __pyx_obj_8PyClical_clifford *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v_x); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_8__iter__(CYTHON_UNUSED struct __pyx_obj_8PyClical_clifford *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_10reframe(struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_ixt); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_12__richcmp__(struct __pyx_obj_8PyClical_clifford *__pyx_v_lhs, PyObject *__pyx_v_rhs, int __pyx_v_op); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_14__getitem__(struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_ixt); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_16__neg__(struct __pyx_obj_8PyClical_clifford *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_18__pos__(struct __pyx_obj_8PyClical_clifford *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_20__add__(struct __pyx_obj_8PyClical_clifford *__pyx_v_lhs, PyObject *__pyx_v_rhs); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_22__radd__(struct __pyx_obj_8PyClical_clifford *__pyx_v_rhs, PyObject *__pyx_v_lhs); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_24__iadd__(struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_rhs); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_26__sub__(struct __pyx_obj_8PyClical_clifford *__pyx_v_lhs, PyObject *__pyx_v_rhs); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_28__rsub__(struct __pyx_obj_8PyClical_clifford *__pyx_v_rhs, PyObject *__pyx_v_lhs); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_30__isub__(struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_rhs); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_32__mul__(struct __pyx_obj_8PyClical_clifford *__pyx_v_lhs, PyObject *__pyx_v_rhs); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_34__rmul__(struct __pyx_obj_8PyClical_clifford *__pyx_v_rhs, PyObject *__pyx_v_lhs); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_36__imul__(struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_rhs); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_38__mod__(struct __pyx_obj_8PyClical_clifford *__pyx_v_lhs, PyObject *__pyx_v_rhs); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_40__rmod__(struct __pyx_obj_8PyClical_clifford *__pyx_v_rhs, PyObject *__pyx_v_lhs); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_42__imod__(struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_rhs); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_44__and__(struct __pyx_obj_8PyClical_clifford *__pyx_v_lhs, PyObject *__pyx_v_rhs); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_46__rand__(struct __pyx_obj_8PyClical_clifford *__pyx_v_rhs, PyObject *__pyx_v_lhs); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_48__iand__(struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_rhs); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_50__xor__(struct __pyx_obj_8PyClical_clifford *__pyx_v_lhs, PyObject *__pyx_v_rhs); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_52__rxor__(struct __pyx_obj_8PyClical_clifford *__pyx_v_rhs, PyObject *__pyx_v_lhs); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_54__ixor__(struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_rhs); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_56__truediv__(struct __pyx_obj_8PyClical_clifford *__pyx_v_lhs, PyObject *__pyx_v_rhs); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_58__rtruediv__(struct __pyx_obj_8PyClical_clifford *__pyx_v_rhs, PyObject *__pyx_v_lhs); /* proto */
#if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000)
static PyObject *__pyx_pf_8PyClical_8clifford_60__idiv__(struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_rhs); /* proto */
#endif
static PyObject *__pyx_pf_8PyClical_8clifford_62inv(struct __pyx_obj_8PyClical_clifford *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_64__or__(struct __pyx_obj_8PyClical_clifford *__pyx_v_lhs, PyObject *__pyx_v_rhs); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_66__ior__(struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_rhs); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_68__pow__(struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_m, CYTHON_UNUSED PyObject *__pyx_v_dummy); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_70pow(struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_m); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_72outer_pow(struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_m); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_74__call__(struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_grade); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_76scalar(struct __pyx_obj_8PyClical_clifford *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_78pure(struct __pyx_obj_8PyClical_clifford *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_80even(struct __pyx_obj_8PyClical_clifford *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_82odd(struct __pyx_obj_8PyClical_clifford *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_84vector_part(struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_frm); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_86involute(struct __pyx_obj_8PyClical_clifford *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_88reverse(struct __pyx_obj_8PyClical_clifford *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_90conj(struct __pyx_obj_8PyClical_clifford *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_92quad(struct __pyx_obj_8PyClical_clifford *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_94norm(struct __pyx_obj_8PyClical_clifford *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_96abs(struct __pyx_obj_8PyClical_clifford *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_98max_abs(struct __pyx_obj_8PyClical_clifford *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_100truncated(struct __pyx_obj_8PyClical_clifford *__pyx_v_self, PyObject *__pyx_v_limit); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_102isinf(struct __pyx_obj_8PyClical_clifford *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_104isnan(struct __pyx_obj_8PyClical_clifford *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_106frame(struct __pyx_obj_8PyClical_clifford *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_108__repr__(struct __pyx_obj_8PyClical_clifford *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_110__str__(struct __pyx_obj_8PyClical_clifford *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_112__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_8PyClical_clifford *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_114__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_8PyClical_clifford *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_8PyClical_8clifford_hidden_doctests(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_8PyClical_10error_squared_tol(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
static PyObject *__pyx_pf_8PyClical_12error_squared(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs, PyObject *__pyx_v_threshold); /* proto */
static PyObject *__pyx_pf_8PyClical_14approx_equal(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_lhs, PyObject *__pyx_v_rhs, PyObject *__pyx_v_threshold, PyObject *__pyx_v_tol); /* proto */
static PyObject *__pyx_pf_8PyClical_16inv(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
static PyObject *__pyx_pf_8PyClical_18scalar(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
static PyObject *__pyx_pf_8PyClical_20real(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
static PyObject *__pyx_pf_8PyClical_22imag(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
static PyObject *__pyx_pf_8PyClical_24pure(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
static PyObject *__pyx_pf_8PyClical_26even(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
static PyObject *__pyx_pf_8PyClical_28odd(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
static PyObject *__pyx_pf_8PyClical_30involute(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
static PyObject *__pyx_pf_8PyClical_32reverse(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
static PyObject *__pyx_pf_8PyClical_34conj(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
static PyObject *__pyx_pf_8PyClical_36quad(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
static PyObject *__pyx_pf_8PyClical_38norm(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
static PyObject *__pyx_pf_8PyClical_40abs(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
static PyObject *__pyx_pf_8PyClical_42max_abs(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
static PyObject *__pyx_pf_8PyClical_44pow(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_m); /* proto */
static PyObject *__pyx_pf_8PyClical_46outer_pow(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_m); /* proto */
static PyObject *__pyx_pf_8PyClical_48complexifier(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
static PyObject *__pyx_pf_8PyClical_50sqrt(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_i); /* proto */
static PyObject *__pyx_pf_8PyClical_52exp(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
static PyObject *__pyx_pf_8PyClical_54log(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_i); /* proto */
static PyObject *__pyx_pf_8PyClical_56cos(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_i); /* proto */
static PyObject *__pyx_pf_8PyClical_58acos(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_i); /* proto */
static PyObject *__pyx_pf_8PyClical_60cosh(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
static PyObject *__pyx_pf_8PyClical_62acosh(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_i); /* proto */
static PyObject *__pyx_pf_8PyClical_64sin(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_i); /* proto */
static PyObject *__pyx_pf_8PyClical_66asin(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_i); /* proto */
static PyObject *__pyx_pf_8PyClical_68sinh(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
static PyObject *__pyx_pf_8PyClical_70asinh(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_i); /* proto */
static PyObject *__pyx_pf_8PyClical_72tan(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_i); /* proto */
static PyObject *__pyx_pf_8PyClical_74atan(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_i); /* proto */
static PyObject *__pyx_pf_8PyClical_76tanh(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
static PyObject *__pyx_pf_8PyClical_78atanh(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj, PyObject *__pyx_v_i); /* proto */
static PyObject *__pyx_pf_8PyClical_80random_clifford(CYTHON_UNUSED PyObject *__pyx_self, struct __pyx_obj_8PyClical_index_set *__pyx_v_ixt, PyObject *__pyx_v_fill); /* proto */
static PyObject *__pyx_pf_8PyClical_82cga3(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
static PyObject *__pyx_pf_8PyClical_84cga3std(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
static PyObject *__pyx_pf_8PyClical_86agc3(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
static PyObject *__pyx_pf_8PyClical_88e(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_obj); /* proto */
static PyObject *__pyx_pf_8PyClical_90istpq(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_p, PyObject *__pyx_v_q); /* proto */
static PyObject *__pyx_pf_8PyClical_92_test(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_tp_new_8PyClical_index_set(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_8PyClical_clifford(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_8PyClical___pyx_scope_struct____iter__(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
/* #### Code section: late_includes ### */
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/* #### Code section: module_state_traverse ### */
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}
#endif
/* #### Code section: module_state_defines ### */
#define __pyx_d __pyx_mstate_global->__pyx_d
#define __pyx_b __pyx_mstate_global->__pyx_b
#define __pyx_cython_runtime __pyx_mstate_global->__pyx_cython_runtime
#define __pyx_empty_tuple __pyx_mstate_global->__pyx_empty_tuple
#define __pyx_empty_bytes __pyx_mstate_global->__pyx_empty_bytes
#define __pyx_empty_unicode __pyx_mstate_global->__pyx_empty_unicode
#ifdef __Pyx_CyFunction_USED
#define __pyx_CyFunctionType __pyx_mstate_global->__pyx_CyFunctionType
#endif
#ifdef __Pyx_FusedFunction_USED
#define __pyx_FusedFunctionType __pyx_mstate_global->__pyx_FusedFunctionType
#endif
#ifdef __Pyx_Generator_USED
#define __pyx_GeneratorType __pyx_mstate_global->__pyx_GeneratorType
#endif
#ifdef __Pyx_IterableCoroutine_USED
#define __pyx_IterableCoroutineType __pyx_mstate_global->__pyx_IterableCoroutineType
#endif
#ifdef __Pyx_Coroutine_USED
#define __pyx_CoroutineAwaitType __pyx_mstate_global->__pyx_CoroutineAwaitType
#endif
#ifdef __Pyx_Coroutine_USED
#define __pyx_CoroutineType __pyx_mstate_global->__pyx_CoroutineType
#endif
#if CYTHON_USE_MODULE_STATE
#endif
#if CYTHON_USE_MODULE_STATE
#endif
#if CYTHON_USE_MODULE_STATE
#endif
#if CYTHON_USE_MODULE_STATE
#endif
#if CYTHON_USE_MODULE_STATE
#define __pyx_type_8PyClical_index_set __pyx_mstate_global->__pyx_type_8PyClical_index_set
#define __pyx_type_8PyClical_clifford __pyx_mstate_global->__pyx_type_8PyClical_clifford
#define __pyx_type_8PyClical___pyx_scope_struct____iter__ __pyx_mstate_global->__pyx_type_8PyClical___pyx_scope_struct____iter__
#endif
#define __pyx_ptype_8PyClical_index_set __pyx_mstate_global->__pyx_ptype_8PyClical_index_set
#define __pyx_ptype_8PyClical_clifford __pyx_mstate_global->__pyx_ptype_8PyClical_clifford
#define __pyx_ptype_8PyClical___pyx_scope_struct____iter__ __pyx_mstate_global->__pyx_ptype_8PyClical___pyx_scope_struct____iter__
#define __pyx_kp_u_ __pyx_mstate_global->__pyx_kp_u_
#define __pyx_kp_u_Abbreviation_for_clifford_index __pyx_mstate_global->__pyx_kp_u_Abbreviation_for_clifford_index
#define __pyx_kp_u_Abbreviation_for_index_set_q_p __pyx_mstate_global->__pyx_kp_u_Abbreviation_for_index_set_q_p
#define __pyx_kp_u_Absolute_value_of_multivector_m __pyx_mstate_global->__pyx_kp_u_Absolute_value_of_multivector_m
#define __pyx_kp_u_Absolute_value_square_root_of_n __pyx_mstate_global->__pyx_kp_u_Absolute_value_square_root_of_n
#define __pyx_kp_u_Cannot_initialize_clifford_objec __pyx_mstate_global->__pyx_kp_u_Cannot_initialize_clifford_objec
#define __pyx_kp_u_Cannot_initialize_index_set_obje __pyx_mstate_global->__pyx_kp_u_Cannot_initialize_index_set_obje
#define __pyx_kp_u_Cannot_reframe __pyx_mstate_global->__pyx_kp_u_Cannot_reframe
#define __pyx_kp_u_Cannot_take_vector_part_of __pyx_mstate_global->__pyx_kp_u_Cannot_take_vector_part_of
#define __pyx_kp_u_Cardinality_Number_of_indices_i __pyx_mstate_global->__pyx_kp_u_Cardinality_Number_of_indices_i
#define __pyx_kp_u_Check_if_a_multivector_contains __pyx_mstate_global->__pyx_kp_u_Check_if_a_multivector_contains
#define __pyx_kp_u_Check_if_a_multivector_contains_2 __pyx_mstate_global->__pyx_kp_u_Check_if_a_multivector_contains_2
#define __pyx_kp_u_Conjugation_reverse_o_involute __pyx_mstate_global->__pyx_kp_u_Conjugation_reverse_o_involute
#define __pyx_kp_u_Conjugation_reverse_o_involute_2 __pyx_mstate_global->__pyx_kp_u_Conjugation_reverse_o_involute_2
#define __pyx_kp_u_Contraction_print_2_clifford_2 __pyx_mstate_global->__pyx_kp_u_Contraction_print_2_clifford_2
#define __pyx_kp_u_Contraction_print_clifford_1_cl __pyx_mstate_global->__pyx_kp_u_Contraction_print_clifford_1_cl
#define __pyx_kp_u_Contraction_x_clifford_1_x_clif __pyx_mstate_global->__pyx_kp_u_Contraction_x_clifford_1_x_clif
#define __pyx_kp_u_Convert_CGA3_null_vector_to_Euc __pyx_mstate_global->__pyx_kp_u_Convert_CGA3_null_vector_to_Euc
#define __pyx_kp_u_Convert_CGA3_null_vector_to_sta __pyx_mstate_global->__pyx_kp_u_Convert_CGA3_null_vector_to_sta
#define __pyx_kp_u_Convert_Euclidean_3D_multivecto __pyx_mstate_global->__pyx_kp_u_Convert_Euclidean_3D_multivecto
#define __pyx_kp_u_Copy_this_clifford_object_x_cli __pyx_mstate_global->__pyx_kp_u_Copy_this_clifford_object_x_cli
#define __pyx_kp_u_Copy_this_index_set_object_s_in __pyx_mstate_global->__pyx_kp_u_Copy_this_index_set_object_s_in
#define __pyx_kp_u_Cosine_of_multivector_with_opti __pyx_mstate_global->__pyx_kp_u_Cosine_of_multivector_with_opti
#define __pyx_kp_u_Even_part_of_multivector_sum_of __pyx_mstate_global->__pyx_kp_u_Even_part_of_multivector_sum_of
#define __pyx_kp_u_Even_part_of_multivector_sum_of_2 __pyx_mstate_global->__pyx_kp_u_Even_part_of_multivector_sum_of_2
#define __pyx_kp_u_Exponential_of_multivector_x_cl __pyx_mstate_global->__pyx_kp_u_Exponential_of_multivector_x_cl
#define __pyx_kp_u_Geometric_difference_print_1_cl __pyx_mstate_global->__pyx_kp_u_Geometric_difference_print_1_cl
#define __pyx_kp_u_Geometric_difference_print_clif __pyx_mstate_global->__pyx_kp_u_Geometric_difference_print_clif
#define __pyx_kp_u_Geometric_difference_x_clifford __pyx_mstate_global->__pyx_kp_u_Geometric_difference_x_clifford
#define __pyx_kp_u_Geometric_multiplicative_invers __pyx_mstate_global->__pyx_kp_u_Geometric_multiplicative_invers
#define __pyx_kp_u_Geometric_multiplicative_invers_2 __pyx_mstate_global->__pyx_kp_u_Geometric_multiplicative_invers_2
#define __pyx_kp_u_Geometric_product_print_2_cliff __pyx_mstate_global->__pyx_kp_u_Geometric_product_print_2_cliff
#define __pyx_kp_u_Geometric_product_print_cliffor __pyx_mstate_global->__pyx_kp_u_Geometric_product_print_cliffor
#define __pyx_kp_u_Geometric_product_x_clifford_2 __pyx_mstate_global->__pyx_kp_u_Geometric_product_x_clifford_2
#define __pyx_kp_u_Geometric_quotient_print_2_clif __pyx_mstate_global->__pyx_kp_u_Geometric_quotient_print_2_clif
#define __pyx_kp_u_Geometric_quotient_print_cliffo __pyx_mstate_global->__pyx_kp_u_Geometric_quotient_print_cliffo
#define __pyx_kp_u_Geometric_quotient_x_clifford_1 __pyx_mstate_global->__pyx_kp_u_Geometric_quotient_x_clifford_1
#define __pyx_kp_u_Geometric_sum_print_1_clifford __pyx_mstate_global->__pyx_kp_u_Geometric_sum_print_1_clifford
#define __pyx_kp_u_Geometric_sum_print_clifford_1 __pyx_mstate_global->__pyx_kp_u_Geometric_sum_print_clifford_1
#define __pyx_kp_u_Geometric_sum_x_clifford_1_x_cl __pyx_mstate_global->__pyx_kp_u_Geometric_sum_x_clifford_1_x_cl
#define __pyx_kp_u_Get_the_value_of_an_index_set_o __pyx_mstate_global->__pyx_kp_u_Get_the_value_of_an_index_set_o
#define __pyx_kp_u_Hyperbolic_cosine_of_multivecto __pyx_mstate_global->__pyx_kp_u_Hyperbolic_cosine_of_multivecto
#define __pyx_kp_u_Hyperbolic_sine_of_multivector __pyx_mstate_global->__pyx_kp_u_Hyperbolic_sine_of_multivector
#define __pyx_kp_u_Hyperbolic_tangent_of_multivect __pyx_mstate_global->__pyx_kp_u_Hyperbolic_tangent_of_multivect
#define __pyx_kp_u_Imaginary_part_deprecated_alway __pyx_mstate_global->__pyx_kp_u_Imaginary_part_deprecated_alway
#define __pyx_n_s_IndexError __pyx_mstate_global->__pyx_n_s_IndexError
#define __pyx_kp_u_Inner_product_print_2_clifford __pyx_mstate_global->__pyx_kp_u_Inner_product_print_2_clifford
#define __pyx_kp_u_Inner_product_print_clifford_1 __pyx_mstate_global->__pyx_kp_u_Inner_product_print_clifford_1
#define __pyx_kp_u_Inner_product_x_clifford_1_x_cl __pyx_mstate_global->__pyx_kp_u_Inner_product_x_clifford_1_x_cl
#define __pyx_kp_u_Integer_power_of_multivector_ob __pyx_mstate_global->__pyx_kp_u_Integer_power_of_multivector_ob
#define __pyx_n_s_Integral __pyx_mstate_global->__pyx_n_s_Integral
#define __pyx_kp_u_Inverse_cosine_of_multivector_w __pyx_mstate_global->__pyx_kp_u_Inverse_cosine_of_multivector_w
#define __pyx_kp_u_Inverse_hyperbolic_cosine_of_mu __pyx_mstate_global->__pyx_kp_u_Inverse_hyperbolic_cosine_of_mu
#define __pyx_kp_u_Inverse_hyperbolic_sine_of_mult __pyx_mstate_global->__pyx_kp_u_Inverse_hyperbolic_sine_of_mult
#define __pyx_kp_u_Inverse_hyperbolic_tangent_of_m __pyx_mstate_global->__pyx_kp_u_Inverse_hyperbolic_tangent_of_m
#define __pyx_kp_u_Inverse_sine_of_multivector_wit __pyx_mstate_global->__pyx_kp_u_Inverse_sine_of_multivector_wit
#define __pyx_kp_u_Inverse_tangent_of_multivector __pyx_mstate_global->__pyx_kp_u_Inverse_tangent_of_multivector
#define __pyx_kp_u_Iterate_over_the_indices_of_an __pyx_mstate_global->__pyx_kp_u_Iterate_over_the_indices_of_an
#define __pyx_kp_u_Main_involution_each_i_is_repla __pyx_mstate_global->__pyx_kp_u_Main_involution_each_i_is_repla
#define __pyx_kp_u_Main_involution_each_i_is_repla_2 __pyx_mstate_global->__pyx_kp_u_Main_involution_each_i_is_repla_2
#define __pyx_kp_u_Maximum_absolute_value_of_coord __pyx_mstate_global->__pyx_kp_u_Maximum_absolute_value_of_coord
#define __pyx_kp_u_Maximum_member_index_set_1_1_2 __pyx_mstate_global->__pyx_kp_u_Maximum_member_index_set_1_1_2
#define __pyx_kp_u_Maximum_of_absolute_values_of_c __pyx_mstate_global->__pyx_kp_u_Maximum_of_absolute_values_of_c
#define __pyx_kp_u_Maximum_positive_index_or_0_if __pyx_mstate_global->__pyx_kp_u_Maximum_positive_index_or_0_if
#define __pyx_kp_u_Minimum_member_index_set_1_1_2 __pyx_mstate_global->__pyx_kp_u_Minimum_member_index_set_1_1_2
#define __pyx_kp_u_Minimum_negative_index_or_0_if __pyx_mstate_global->__pyx_kp_u_Minimum_negative_index_or_0_if
#define __pyx_kp_u_Natural_logarithm_of_multivecto __pyx_mstate_global->__pyx_kp_u_Natural_logarithm_of_multivecto
#define __pyx_kp_u_Norm_sum_of_squares_of_coordina __pyx_mstate_global->__pyx_kp_u_Norm_sum_of_squares_of_coordina
#define __pyx_n_s_NotImplemented __pyx_mstate_global->__pyx_n_s_NotImplemented
#define __pyx_kp_u_Not_applicable __pyx_mstate_global->__pyx_kp_u_Not_applicable
#define __pyx_kp_u_Not_applicable_for_a_in_cliffor __pyx_mstate_global->__pyx_kp_u_Not_applicable_for_a_in_cliffor
#define __pyx_kp_u_Number_of_negative_indices_incl __pyx_mstate_global->__pyx_kp_u_Number_of_negative_indices_incl
#define __pyx_kp_u_Number_of_positive_indices_incl __pyx_mstate_global->__pyx_kp_u_Number_of_positive_indices_incl
#define __pyx_kp_u_Odd_part_of_multivector_sum_of __pyx_mstate_global->__pyx_kp_u_Odd_part_of_multivector_sum_of
#define __pyx_kp_u_Odd_part_of_multivector_sum_of_2 __pyx_mstate_global->__pyx_kp_u_Odd_part_of_multivector_sum_of_2
#define __pyx_kp_u_Outer_product_power_of_multivec __pyx_mstate_global->__pyx_kp_u_Outer_product_power_of_multivec
#define __pyx_kp_u_Outer_product_power_x_clifford __pyx_mstate_global->__pyx_kp_u_Outer_product_power_x_clifford
#define __pyx_kp_u_Outer_product_print_2_clifford __pyx_mstate_global->__pyx_kp_u_Outer_product_print_2_clifford
#define __pyx_kp_u_Outer_product_print_clifford_1 __pyx_mstate_global->__pyx_kp_u_Outer_product_print_clifford_1
#define __pyx_kp_u_Outer_product_x_clifford_1_x_cl __pyx_mstate_global->__pyx_kp_u_Outer_product_x_clifford_1_x_cl
#define __pyx_kp_u_Power_self_to_the_m_x_clifford __pyx_mstate_global->__pyx_kp_u_Power_self_to_the_m_x_clifford
#define __pyx_kp_u_Power_self_to_the_m_x_clifford_2 __pyx_mstate_global->__pyx_kp_u_Power_self_to_the_m_x_clifford_2
#define __pyx_kp_u_Pure_grade_vector_part_print_cl __pyx_mstate_global->__pyx_kp_u_Pure_grade_vector_part_print_cl
#define __pyx_kp_u_Pure_part_print_clifford_1_1_1 __pyx_mstate_global->__pyx_kp_u_Pure_part_print_clifford_1_1_1
#define __pyx_kp_u_Pure_part_print_pure_clifford_1 __pyx_mstate_global->__pyx_kp_u_Pure_part_print_pure_clifford_1
#define __pyx_kp_u_Put_self_into_a_larger_frame_co __pyx_mstate_global->__pyx_kp_u_Put_self_into_a_larger_frame_co
#define __pyx_n_s_PyClical __pyx_mstate_global->__pyx_n_s_PyClical
#define __pyx_kp_s_PyClical_pyx __pyx_mstate_global->__pyx_kp_s_PyClical_pyx
#define __pyx_kp_u_Quadratic_form_rev_x_x_0_print __pyx_mstate_global->__pyx_kp_u_Quadratic_form_rev_x_x_0_print
#define __pyx_kp_u_Quadratic_form_rev_x_x_0_print_2 __pyx_mstate_global->__pyx_kp_u_Quadratic_form_rev_x_x_0_print_2
#define __pyx_kp_u_Quadratic_norm_error_tolerance __pyx_mstate_global->__pyx_kp_u_Quadratic_norm_error_tolerance
#define __pyx_kp_u_Random_multivector_within_a_fra __pyx_mstate_global->__pyx_kp_u_Random_multivector_within_a_fra
#define __pyx_n_s_Real __pyx_mstate_global->__pyx_n_s_Real
#define __pyx_kp_u_Real_part_synonym_for_scalar_pa __pyx_mstate_global->__pyx_kp_u_Real_part_synonym_for_scalar_pa
#define __pyx_kp_u_Relative_or_absolute_error_usin __pyx_mstate_global->__pyx_kp_u_Relative_or_absolute_error_usin
#define __pyx_kp_u_Remove_all_terms_of_self_with_r __pyx_mstate_global->__pyx_kp_u_Remove_all_terms_of_self_with_r
#define __pyx_kp_u_Reversion_eg_1_2_2_1_print_reve __pyx_mstate_global->__pyx_kp_u_Reversion_eg_1_2_2_1_print_reve
#define __pyx_kp_u_Reversion_eg_clifford_1_cliffor __pyx_mstate_global->__pyx_kp_u_Reversion_eg_clifford_1_cliffor
#define __pyx_n_s_RuntimeError __pyx_mstate_global->__pyx_n_s_RuntimeError
#define __pyx_kp_u_Scalar_part_clifford_1_1_1_2_sc __pyx_mstate_global->__pyx_kp_u_Scalar_part_clifford_1_1_1_2_sc
#define __pyx_kp_u_Scalar_part_scalar_clifford_1_1 __pyx_mstate_global->__pyx_kp_u_Scalar_part_scalar_clifford_1_1
#define __pyx_n_s_Sequence __pyx_mstate_global->__pyx_n_s_Sequence
#define __pyx_kp_u_Set_complement_not_print_index __pyx_mstate_global->__pyx_kp_u_Set_complement_not_print_index
#define __pyx_kp_u_Set_intersection_and_print_inde __pyx_mstate_global->__pyx_kp_u_Set_intersection_and_print_inde
#define __pyx_kp_u_Set_intersection_and_x_index_se __pyx_mstate_global->__pyx_kp_u_Set_intersection_and_x_index_se
#define __pyx_kp_u_Set_the_value_of_an_index_set_o __pyx_mstate_global->__pyx_kp_u_Set_the_value_of_an_index_set_o
#define __pyx_kp_u_Set_union_or_print_index_set_1 __pyx_mstate_global->__pyx_kp_u_Set_union_or_print_index_set_1
#define __pyx_kp_u_Set_union_or_x_index_set_1_x_in __pyx_mstate_global->__pyx_kp_u_Set_union_or_x_index_set_1_x_in
#define __pyx_kp_u_Sign_of_geometric_product_of_tw __pyx_mstate_global->__pyx_kp_u_Sign_of_geometric_product_of_tw
#define __pyx_kp_u_Sign_of_geometric_square_of_a_C __pyx_mstate_global->__pyx_kp_u_Sign_of_geometric_square_of_a_C
#define __pyx_kp_u_Sine_of_multivector_with_option __pyx_mstate_global->__pyx_kp_u_Sine_of_multivector_with_option
#define __pyx_kp_u_Square_root_of_1_which_commutes __pyx_mstate_global->__pyx_kp_u_Square_root_of_1_which_commutes
#define __pyx_kp_u_Square_root_of_multivector_with __pyx_mstate_global->__pyx_kp_u_Square_root_of_multivector_with
#define __pyx_kp_u_Subalgebra_generated_by_all_gen __pyx_mstate_global->__pyx_kp_u_Subalgebra_generated_by_all_gen
#define __pyx_kp_u_Subscripting_map_from_index_set __pyx_mstate_global->__pyx_kp_u_Subscripting_map_from_index_set
#define __pyx_kp_u_Symmetric_set_difference_exclus __pyx_mstate_global->__pyx_kp_u_Symmetric_set_difference_exclus
#define __pyx_kp_u_Symmetric_set_difference_exclus_2 __pyx_mstate_global->__pyx_kp_u_Symmetric_set_difference_exclus_2
#define __pyx_kp_u_Tangent_of_multivector_with_opt __pyx_mstate_global->__pyx_kp_u_Tangent_of_multivector_with_opt
#define __pyx_kp_u_Test_for_approximate_equality_o __pyx_mstate_global->__pyx_kp_u_Test_for_approximate_equality_o
#define __pyx_kp_u_Tests_for_functions_that_Doctes __pyx_mstate_global->__pyx_kp_u_Tests_for_functions_that_Doctes
#define __pyx_kp_u_Tests_for_functions_that_Doctes_2 __pyx_mstate_global->__pyx_kp_u_Tests_for_functions_that_Doctes_2
#define __pyx_kp_u_The_informal_string_representat __pyx_mstate_global->__pyx_kp_u_The_informal_string_representat
#define __pyx_kp_u_The_informal_string_representat_2 __pyx_mstate_global->__pyx_kp_u_The_informal_string_representat_2
#define __pyx_kp_u_The_official_string_representat __pyx_mstate_global->__pyx_kp_u_The_official_string_representat
#define __pyx_kp_u_The_official_string_representat_2 __pyx_mstate_global->__pyx_kp_u_The_official_string_representat_2
#define __pyx_kp_u_This_comparison_operator_is_not __pyx_mstate_global->__pyx_kp_u_This_comparison_operator_is_not
#define __pyx_kp_u_Transform_left_hand_side_using __pyx_mstate_global->__pyx_kp_u_Transform_left_hand_side_using
#define __pyx_kp_u_Transform_left_hand_side_using_2 __pyx_mstate_global->__pyx_kp_u_Transform_left_hand_side_using_2
#define __pyx_n_s_TypeError __pyx_mstate_global->__pyx_n_s_TypeError
#define __pyx_kp_u_UTF_8 __pyx_mstate_global->__pyx_kp_u_UTF_8
#define __pyx_kp_u_Unary_print_clifford_1_1 __pyx_mstate_global->__pyx_kp_u_Unary_print_clifford_1_1
#define __pyx_kp_u_Unary_print_clifford_1_1_2 __pyx_mstate_global->__pyx_kp_u_Unary_print_clifford_1_1_2
#define __pyx_n_s_ValueError __pyx_mstate_global->__pyx_n_s_ValueError
#define __pyx_kp_u_Vector_part_of_multivector_as_a __pyx_mstate_global->__pyx_kp_u_Vector_part_of_multivector_as_a
#define __pyx_n_s__113 __pyx_mstate_global->__pyx_n_s__113
#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__5 __pyx_mstate_global->__pyx_kp_u__5
#define __pyx_kp_u__6 __pyx_mstate_global->__pyx_kp_u__6
#define __pyx_kp_u__7 __pyx_mstate_global->__pyx_kp_u__7
#define __pyx_n_s__9 __pyx_mstate_global->__pyx_n_s__9
#define __pyx_n_s_abc __pyx_mstate_global->__pyx_n_s_abc
#define __pyx_n_s_abs __pyx_mstate_global->__pyx_n_s_abs
#define __pyx_kp_u_abs_line_1585 __pyx_mstate_global->__pyx_kp_u_abs_line_1585
#define __pyx_n_s_acos __pyx_mstate_global->__pyx_n_s_acos
#define __pyx_kp_u_acos_line_1731 __pyx_mstate_global->__pyx_kp_u_acos_line_1731
#define __pyx_n_s_acosh __pyx_mstate_global->__pyx_n_s_acosh
#define __pyx_kp_u_acosh_line_1768 __pyx_mstate_global->__pyx_kp_u_acosh_line_1768
#define __pyx_n_s_agc3 __pyx_mstate_global->__pyx_n_s_agc3
#define __pyx_kp_u_agc3_line_1956 __pyx_mstate_global->__pyx_kp_u_agc3_line_1956
#define __pyx_n_s_approx_equal __pyx_mstate_global->__pyx_n_s_approx_equal
#define __pyx_kp_u_approx_equal_line_1422 __pyx_mstate_global->__pyx_kp_u_approx_equal_line_1422
#define __pyx_n_s_args __pyx_mstate_global->__pyx_n_s_args
#define __pyx_kp_u_as_frame __pyx_mstate_global->__pyx_kp_u_as_frame
#define __pyx_n_s_asin __pyx_mstate_global->__pyx_n_s_asin
#define __pyx_kp_u_asin_line_1810 __pyx_mstate_global->__pyx_kp_u_asin_line_1810
#define __pyx_n_s_asinh __pyx_mstate_global->__pyx_n_s_asinh
#define __pyx_kp_u_asinh_line_1845 __pyx_mstate_global->__pyx_kp_u_asinh_line_1845
#define __pyx_n_s_asyncio_coroutines __pyx_mstate_global->__pyx_n_s_asyncio_coroutines
#define __pyx_n_s_atan __pyx_mstate_global->__pyx_n_s_atan
#define __pyx_kp_u_atan_line_1881 __pyx_mstate_global->__pyx_kp_u_atan_line_1881
#define __pyx_n_s_atanh __pyx_mstate_global->__pyx_n_s_atanh
#define __pyx_kp_u_atanh_line_1910 __pyx_mstate_global->__pyx_kp_u_atanh_line_1910
#define __pyx_n_s_cga3 __pyx_mstate_global->__pyx_n_s_cga3
#define __pyx_kp_u_cga3_line_1936 __pyx_mstate_global->__pyx_kp_u_cga3_line_1936
#define __pyx_n_s_cga3std __pyx_mstate_global->__pyx_n_s_cga3std
#define __pyx_kp_u_cga3std_line_1945 __pyx_mstate_global->__pyx_kp_u_cga3std_line_1945
#define __pyx_n_s_cl __pyx_mstate_global->__pyx_n_s_cl
#define __pyx_n_s_clifford __pyx_mstate_global->__pyx_n_s_clifford
#define __pyx_kp_u_clifford___add___line_740 __pyx_mstate_global->__pyx_kp_u_clifford___add___line_740
#define __pyx_kp_u_clifford___and___line_872 __pyx_mstate_global->__pyx_kp_u_clifford___and___line_872
#define __pyx_kp_u_clifford___call___line_1083 __pyx_mstate_global->__pyx_kp_u_clifford___call___line_1083
#define __pyx_kp_u_clifford___getitem___line_707 __pyx_mstate_global->__pyx_kp_u_clifford___getitem___line_707
#define __pyx_kp_u_clifford___iadd___line_760 __pyx_mstate_global->__pyx_kp_u_clifford___iadd___line_760
#define __pyx_kp_u_clifford___iand___line_896 __pyx_mstate_global->__pyx_kp_u_clifford___iand___line_896
#define __pyx_kp_u_clifford___idiv___line_974 __pyx_mstate_global->__pyx_kp_u_clifford___idiv___line_974
#define __pyx_kp_u_clifford___imod___line_857 __pyx_mstate_global->__pyx_kp_u_clifford___imod___line_857
#define __pyx_kp_u_clifford___imul___line_820 __pyx_mstate_global->__pyx_kp_u_clifford___imul___line_820
#define __pyx_kp_u_clifford___ior___line_1013 __pyx_mstate_global->__pyx_kp_u_clifford___ior___line_1013
#define __pyx_kp_u_clifford___isub___line_789 __pyx_mstate_global->__pyx_kp_u_clifford___isub___line_789
#define __pyx_kp_u_clifford___iter___line_638 __pyx_mstate_global->__pyx_kp_u_clifford___iter___line_638
#define __pyx_kp_u_clifford___ixor___line_935 __pyx_mstate_global->__pyx_kp_u_clifford___ixor___line_935
#define __pyx_kp_u_clifford___mod___line_833 __pyx_mstate_global->__pyx_kp_u_clifford___mod___line_833
#define __pyx_kp_u_clifford___mul___line_798 __pyx_mstate_global->__pyx_kp_u_clifford___mul___line_798
#define __pyx_kp_u_clifford___neg___line_722 __pyx_mstate_global->__pyx_kp_u_clifford___neg___line_722
#define __pyx_kp_u_clifford___or___line_1002 __pyx_mstate_global->__pyx_kp_u_clifford___or___line_1002
#define __pyx_kp_u_clifford___pos___line_731 __pyx_mstate_global->__pyx_kp_u_clifford___pos___line_731
#define __pyx_kp_u_clifford___pow___line_1024 __pyx_mstate_global->__pyx_kp_u_clifford___pow___line_1024
#define __pyx_kp_u_clifford___radd___line_751 __pyx_mstate_global->__pyx_kp_u_clifford___radd___line_751
#define __pyx_kp_u_clifford___rand___line_887 __pyx_mstate_global->__pyx_kp_u_clifford___rand___line_887
#define __pyx_n_s_clifford___reduce_cython __pyx_mstate_global->__pyx_n_s_clifford___reduce_cython
#define __pyx_kp_u_clifford___repr___line_1298 __pyx_mstate_global->__pyx_kp_u_clifford___repr___line_1298
#define __pyx_kp_u_clifford___rmod___line_848 __pyx_mstate_global->__pyx_kp_u_clifford___rmod___line_848
#define __pyx_kp_u_clifford___rmul___line_811 __pyx_mstate_global->__pyx_kp_u_clifford___rmul___line_811
#define __pyx_kp_u_clifford___rsub___line_780 __pyx_mstate_global->__pyx_kp_u_clifford___rsub___line_780
#define __pyx_kp_u_clifford___rtruediv___line_965 __pyx_mstate_global->__pyx_kp_u_clifford___rtruediv___line_965
#define __pyx_kp_u_clifford___rxor___line_926 __pyx_mstate_global->__pyx_kp_u_clifford___rxor___line_926
#define __pyx_n_s_clifford___setstate_cython __pyx_mstate_global->__pyx_n_s_clifford___setstate_cython
#define __pyx_kp_u_clifford___str___line_1307 __pyx_mstate_global->__pyx_kp_u_clifford___str___line_1307
#define __pyx_kp_u_clifford___sub___line_769 __pyx_mstate_global->__pyx_kp_u_clifford___sub___line_769
#define __pyx_kp_u_clifford___truediv___line_950 __pyx_mstate_global->__pyx_kp_u_clifford___truediv___line_950
#define __pyx_kp_u_clifford___xor___line_911 __pyx_mstate_global->__pyx_kp_u_clifford___xor___line_911
#define __pyx_n_s_clifford_abs __pyx_mstate_global->__pyx_n_s_clifford_abs
#define __pyx_kp_u_clifford_abs_line_1238 __pyx_mstate_global->__pyx_kp_u_clifford_abs_line_1238
#define __pyx_n_s_clifford_conj __pyx_mstate_global->__pyx_n_s_clifford_conj
#define __pyx_kp_u_clifford_conj_line_1201 __pyx_mstate_global->__pyx_kp_u_clifford_conj_line_1201
#define __pyx_n_s_clifford_copy __pyx_mstate_global->__pyx_n_s_clifford_copy
#define __pyx_kp_u_clifford_copy_line_556 __pyx_mstate_global->__pyx_kp_u_clifford_copy_line_556
#define __pyx_n_s_clifford_even __pyx_mstate_global->__pyx_n_s_clifford_even
#define __pyx_kp_u_clifford_even_line_1124 __pyx_mstate_global->__pyx_kp_u_clifford_even_line_1124
#define __pyx_n_s_clifford_frame __pyx_mstate_global->__pyx_n_s_clifford_frame
#define __pyx_kp_u_clifford_frame_line_1287 __pyx_mstate_global->__pyx_kp_u_clifford_frame_line_1287
#define __pyx_n_s_clifford_hidden_doctests __pyx_mstate_global->__pyx_n_s_clifford_hidden_doctests
#define __pyx_kp_u_clifford_hidden_doctests_line_13 __pyx_mstate_global->__pyx_kp_u_clifford_hidden_doctests_line_13
#define __pyx_n_s_clifford_inv __pyx_mstate_global->__pyx_n_s_clifford_inv
#define __pyx_kp_u_clifford_inv_line_989 __pyx_mstate_global->__pyx_kp_u_clifford_inv_line_989
#define __pyx_n_s_clifford_involute __pyx_mstate_global->__pyx_n_s_clifford_involute
#define __pyx_kp_u_clifford_involute_line_1170 __pyx_mstate_global->__pyx_kp_u_clifford_involute_line_1170
#define __pyx_n_s_clifford_isinf __pyx_mstate_global->__pyx_n_s_clifford_isinf
#define __pyx_kp_u_clifford_isinf_line_1269 __pyx_mstate_global->__pyx_kp_u_clifford_isinf_line_1269
#define __pyx_n_s_clifford_isnan __pyx_mstate_global->__pyx_n_s_clifford_isnan
#define __pyx_kp_u_clifford_isnan_line_1278 __pyx_mstate_global->__pyx_kp_u_clifford_isnan_line_1278
#define __pyx_n_s_clifford_max_abs __pyx_mstate_global->__pyx_n_s_clifford_max_abs
#define __pyx_kp_u_clifford_max_abs_line_1247 __pyx_mstate_global->__pyx_kp_u_clifford_max_abs_line_1247
#define __pyx_n_s_clifford_norm __pyx_mstate_global->__pyx_n_s_clifford_norm
#define __pyx_kp_u_clifford_norm_line_1227 __pyx_mstate_global->__pyx_kp_u_clifford_norm_line_1227
#define __pyx_n_s_clifford_odd __pyx_mstate_global->__pyx_n_s_clifford_odd
#define __pyx_kp_u_clifford_odd_line_1133 __pyx_mstate_global->__pyx_kp_u_clifford_odd_line_1133
#define __pyx_n_s_clifford_outer_pow __pyx_mstate_global->__pyx_n_s_clifford_outer_pow
#define __pyx_kp_u_clifford_outer_pow_line_1067 __pyx_mstate_global->__pyx_kp_u_clifford_outer_pow_line_1067
#define __pyx_n_s_clifford_pow __pyx_mstate_global->__pyx_n_s_clifford_pow
#define __pyx_kp_u_clifford_pow_line_1043 __pyx_mstate_global->__pyx_kp_u_clifford_pow_line_1043
#define __pyx_n_s_clifford_pure __pyx_mstate_global->__pyx_n_s_clifford_pure
#define __pyx_kp_u_clifford_pure_line_1113 __pyx_mstate_global->__pyx_kp_u_clifford_pure_line_1113
#define __pyx_n_s_clifford_quad __pyx_mstate_global->__pyx_n_s_clifford_quad
#define __pyx_kp_u_clifford_quad_line_1216 __pyx_mstate_global->__pyx_kp_u_clifford_quad_line_1216
#define __pyx_n_s_clifford_reframe __pyx_mstate_global->__pyx_n_s_clifford_reframe
#define __pyx_kp_u_clifford_reframe_line_649 __pyx_mstate_global->__pyx_kp_u_clifford_reframe_line_649
#define __pyx_n_s_clifford_reverse __pyx_mstate_global->__pyx_n_s_clifford_reverse
#define __pyx_kp_u_clifford_reverse_line_1186 __pyx_mstate_global->__pyx_kp_u_clifford_reverse_line_1186
#define __pyx_n_s_clifford_scalar __pyx_mstate_global->__pyx_n_s_clifford_scalar
#define __pyx_kp_u_clifford_scalar_line_1102 __pyx_mstate_global->__pyx_kp_u_clifford_scalar_line_1102
#define __pyx_n_s_clifford_truncated __pyx_mstate_global->__pyx_n_s_clifford_truncated
#define __pyx_kp_u_clifford_truncated_line_1258 __pyx_mstate_global->__pyx_kp_u_clifford_truncated_line_1258
#define __pyx_n_s_clifford_vector_part __pyx_mstate_global->__pyx_n_s_clifford_vector_part
#define __pyx_kp_u_clifford_vector_part_line_1142 __pyx_mstate_global->__pyx_kp_u_clifford_vector_part_line_1142
#define __pyx_n_s_cline_in_traceback __pyx_mstate_global->__pyx_n_s_cline_in_traceback
#define __pyx_n_s_close __pyx_mstate_global->__pyx_n_s_close
#define __pyx_n_s_collections __pyx_mstate_global->__pyx_n_s_collections
#define __pyx_n_s_compare __pyx_mstate_global->__pyx_n_s_compare
#define __pyx_kp_u_compare_line_492 __pyx_mstate_global->__pyx_kp_u_compare_line_492
#define __pyx_n_s_complexifier __pyx_mstate_global->__pyx_n_s_complexifier
#define __pyx_kp_u_complexifier_line_1639 __pyx_mstate_global->__pyx_kp_u_complexifier_line_1639
#define __pyx_n_s_conj __pyx_mstate_global->__pyx_n_s_conj
#define __pyx_kp_u_conj_line_1548 __pyx_mstate_global->__pyx_kp_u_conj_line_1548
#define __pyx_n_s_copy __pyx_mstate_global->__pyx_n_s_copy
#define __pyx_n_s_cos __pyx_mstate_global->__pyx_n_s_cos
#define __pyx_kp_u_cos_line_1714 __pyx_mstate_global->__pyx_kp_u_cos_line_1714
#define __pyx_n_s_cosh __pyx_mstate_global->__pyx_n_s_cosh
#define __pyx_kp_u_cosh_line_1752 __pyx_mstate_global->__pyx_kp_u_cosh_line_1752
#define __pyx_n_s_count __pyx_mstate_global->__pyx_n_s_count
#define __pyx_n_s_count_neg __pyx_mstate_global->__pyx_n_s_count_neg
#define __pyx_n_s_count_pos __pyx_mstate_global->__pyx_n_s_count_pos
#define __pyx_kp_u_disable __pyx_mstate_global->__pyx_kp_u_disable
#define __pyx_n_s_doctest __pyx_mstate_global->__pyx_n_s_doctest
#define __pyx_n_s_e __pyx_mstate_global->__pyx_n_s_e
#define __pyx_kp_u_e_line_1999 __pyx_mstate_global->__pyx_kp_u_e_line_1999
#define __pyx_kp_u_enable __pyx_mstate_global->__pyx_kp_u_enable
#define __pyx_n_s_encode __pyx_mstate_global->__pyx_n_s_encode
#define __pyx_n_s_err __pyx_mstate_global->__pyx_n_s_err
#define __pyx_n_s_error_msg_prefix __pyx_mstate_global->__pyx_n_s_error_msg_prefix
#define __pyx_n_s_error_squared __pyx_mstate_global->__pyx_n_s_error_squared
#define __pyx_kp_u_error_squared_line_1409 __pyx_mstate_global->__pyx_kp_u_error_squared_line_1409
#define __pyx_n_s_error_squared_tol __pyx_mstate_global->__pyx_n_s_error_squared_tol
#define __pyx_kp_u_error_squared_tol_line_1400 __pyx_mstate_global->__pyx_kp_u_error_squared_tol_line_1400
#define __pyx_n_s_even __pyx_mstate_global->__pyx_n_s_even
#define __pyx_kp_u_even_line_1500 __pyx_mstate_global->__pyx_kp_u_even_line_1500
#define __pyx_n_s_exp __pyx_mstate_global->__pyx_n_s_exp
#define __pyx_kp_u_exp_line_1677 __pyx_mstate_global->__pyx_kp_u_exp_line_1677
#define __pyx_n_s_fill __pyx_mstate_global->__pyx_n_s_fill
#define __pyx_n_s_frame __pyx_mstate_global->__pyx_n_s_frame
#define __pyx_n_s_frm __pyx_mstate_global->__pyx_n_s_frm
#define __pyx_kp_u_from __pyx_mstate_global->__pyx_kp_u_from
#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_grade __pyx_mstate_global->__pyx_n_s_grade
#define __pyx_n_s_hash_fn __pyx_mstate_global->__pyx_n_s_hash_fn
#define __pyx_n_s_i __pyx_mstate_global->__pyx_n_s_i
#define __pyx_n_s_imag __pyx_mstate_global->__pyx_n_s_imag
#define __pyx_kp_u_imag_line_1478 __pyx_mstate_global->__pyx_kp_u_imag_line_1478
#define __pyx_n_s_import __pyx_mstate_global->__pyx_n_s_import
#define __pyx_n_s_index_set __pyx_mstate_global->__pyx_n_s_index_set
#define __pyx_kp_u_index_set___and___line_271 __pyx_mstate_global->__pyx_kp_u_index_set___and___line_271
#define __pyx_kp_u_index_set___getitem___line_191 __pyx_mstate_global->__pyx_kp_u_index_set___getitem___line_191
#define __pyx_kp_u_index_set___iand___line_282 __pyx_mstate_global->__pyx_kp_u_index_set___iand___line_282
#define __pyx_kp_u_index_set___invert___line_240 __pyx_mstate_global->__pyx_kp_u_index_set___invert___line_240
#define __pyx_kp_u_index_set___ior___line_304 __pyx_mstate_global->__pyx_kp_u_index_set___ior___line_304
#define __pyx_n_s_index_set___iter __pyx_mstate_global->__pyx_n_s_index_set___iter
#define __pyx_kp_u_index_set___iter___line_229 __pyx_mstate_global->__pyx_kp_u_index_set___iter___line_229
#define __pyx_kp_u_index_set___ixor___line_260 __pyx_mstate_global->__pyx_kp_u_index_set___ixor___line_260
#define __pyx_kp_u_index_set___or___line_293 __pyx_mstate_global->__pyx_kp_u_index_set___or___line_293
#define __pyx_n_s_index_set___reduce_cython __pyx_mstate_global->__pyx_n_s_index_set___reduce_cython
#define __pyx_kp_u_index_set___repr___line_384 __pyx_mstate_global->__pyx_kp_u_index_set___repr___line_384
#define __pyx_kp_u_index_set___setitem___line_179 __pyx_mstate_global->__pyx_kp_u_index_set___setitem___line_179
#define __pyx_n_s_index_set___setstate_cython __pyx_mstate_global->__pyx_n_s_index_set___setstate_cython
#define __pyx_kp_u_index_set___str___line_395 __pyx_mstate_global->__pyx_kp_u_index_set___str___line_395
#define __pyx_kp_u_index_set___xor___line_249 __pyx_mstate_global->__pyx_kp_u_index_set___xor___line_249
#define __pyx_n_s_index_set_copy __pyx_mstate_global->__pyx_n_s_index_set_copy
#define __pyx_kp_u_index_set_copy_line_65 __pyx_mstate_global->__pyx_kp_u_index_set_copy_line_65
#define __pyx_n_s_index_set_count __pyx_mstate_global->__pyx_n_s_index_set_count
#define __pyx_kp_u_index_set_count_line_315 __pyx_mstate_global->__pyx_kp_u_index_set_count_line_315
#define __pyx_n_s_index_set_count_neg __pyx_mstate_global->__pyx_n_s_index_set_count_neg
#define __pyx_kp_u_index_set_count_neg_line_324 __pyx_mstate_global->__pyx_kp_u_index_set_count_neg_line_324
#define __pyx_n_s_index_set_count_pos __pyx_mstate_global->__pyx_n_s_index_set_count_pos
#define __pyx_kp_u_index_set_count_pos_line_333 __pyx_mstate_global->__pyx_kp_u_index_set_count_pos_line_333
#define __pyx_n_s_index_set_hash_fn __pyx_mstate_global->__pyx_n_s_index_set_hash_fn
#define __pyx_n_s_index_set_hidden_doctests __pyx_mstate_global->__pyx_n_s_index_set_hidden_doctests
#define __pyx_kp_u_index_set_hidden_doctests_line_4 __pyx_mstate_global->__pyx_kp_u_index_set_hidden_doctests_line_4
#define __pyx_n_s_index_set_max __pyx_mstate_global->__pyx_n_s_index_set_max
#define __pyx_kp_u_index_set_max_line_351 __pyx_mstate_global->__pyx_kp_u_index_set_max_line_351
#define __pyx_n_s_index_set_min __pyx_mstate_global->__pyx_n_s_index_set_min
#define __pyx_kp_u_index_set_min_line_342 __pyx_mstate_global->__pyx_kp_u_index_set_min_line_342
#define __pyx_n_s_index_set_sign_of_mult __pyx_mstate_global->__pyx_n_s_index_set_sign_of_mult
#define __pyx_kp_u_index_set_sign_of_mult_line_366 __pyx_mstate_global->__pyx_kp_u_index_set_sign_of_mult_line_366
#define __pyx_n_s_index_set_sign_of_square __pyx_mstate_global->__pyx_n_s_index_set_sign_of_square
#define __pyx_kp_u_index_set_sign_of_square_line_37 __pyx_mstate_global->__pyx_kp_u_index_set_sign_of_square_line_37
#define __pyx_n_s_initializing __pyx_mstate_global->__pyx_n_s_initializing
#define __pyx_n_s_inv __pyx_mstate_global->__pyx_n_s_inv
#define __pyx_kp_u_inv_line_1441 __pyx_mstate_global->__pyx_kp_u_inv_line_1441
#define __pyx_kp_u_invalid __pyx_mstate_global->__pyx_kp_u_invalid
#define __pyx_kp_u_invalid_string __pyx_mstate_global->__pyx_kp_u_invalid_string
#define __pyx_n_s_involute __pyx_mstate_global->__pyx_n_s_involute
#define __pyx_kp_u_involute_line_1518 __pyx_mstate_global->__pyx_kp_u_involute_line_1518
#define __pyx_n_s_is_coroutine __pyx_mstate_global->__pyx_n_s_is_coroutine
#define __pyx_kp_u_isenabled __pyx_mstate_global->__pyx_kp_u_isenabled
#define __pyx_n_s_isinf __pyx_mstate_global->__pyx_n_s_isinf
#define __pyx_n_s_isnan __pyx_mstate_global->__pyx_n_s_isnan
#define __pyx_n_s_ist __pyx_mstate_global->__pyx_n_s_ist
#define __pyx_n_s_istpq __pyx_mstate_global->__pyx_n_s_istpq
#define __pyx_kp_u_istpq_line_2012 __pyx_mstate_global->__pyx_kp_u_istpq_line_2012
#define __pyx_n_s_iter __pyx_mstate_global->__pyx_n_s_iter
#define __pyx_n_s_ixt __pyx_mstate_global->__pyx_n_s_ixt
#define __pyx_kp_u_lexicographic_compare_eg_3_4_5 __pyx_mstate_global->__pyx_kp_u_lexicographic_compare_eg_3_4_5
#define __pyx_n_s_lhs __pyx_mstate_global->__pyx_n_s_lhs
#define __pyx_n_s_limit __pyx_mstate_global->__pyx_n_s_limit
#define __pyx_n_s_log __pyx_mstate_global->__pyx_n_s_log
#define __pyx_kp_u_log_line_1691 __pyx_mstate_global->__pyx_kp_u_log_line_1691
#define __pyx_n_s_lst __pyx_mstate_global->__pyx_n_s_lst
#define __pyx_n_s_m __pyx_mstate_global->__pyx_n_s_m
#define __pyx_n_s_main __pyx_mstate_global->__pyx_n_s_main
#define __pyx_n_u_main __pyx_mstate_global->__pyx_n_u_main
#define __pyx_n_s_math __pyx_mstate_global->__pyx_n_s_math
#define __pyx_n_s_max __pyx_mstate_global->__pyx_n_s_max
#define __pyx_n_s_max_abs __pyx_mstate_global->__pyx_n_s_max_abs
#define __pyx_kp_u_max_abs_line_1594 __pyx_mstate_global->__pyx_kp_u_max_abs_line_1594
#define __pyx_n_s_max_pos __pyx_mstate_global->__pyx_n_s_max_pos
#define __pyx_kp_u_max_pos_line_513 __pyx_mstate_global->__pyx_kp_u_max_pos_line_513
#define __pyx_n_s_min __pyx_mstate_global->__pyx_n_s_min
#define __pyx_n_s_min_neg __pyx_mstate_global->__pyx_n_s_min_neg
#define __pyx_kp_u_min_neg_line_504 __pyx_mstate_global->__pyx_kp_u_min_neg_line_504
#define __pyx_n_s_n __pyx_mstate_global->__pyx_n_s_n
#define __pyx_n_s_name __pyx_mstate_global->__pyx_n_s_name
#define __pyx_n_s_nbar3 __pyx_mstate_global->__pyx_n_s_nbar3
#define __pyx_n_s_ninf3 __pyx_mstate_global->__pyx_n_s_ninf3
#define __pyx_kp_s_no_default___reduce___due_to_non __pyx_mstate_global->__pyx_kp_s_no_default___reduce___due_to_non
#define __pyx_n_s_norm __pyx_mstate_global->__pyx_n_s_norm
#define __pyx_kp_u_norm_line_1574 __pyx_mstate_global->__pyx_kp_u_norm_line_1574
#define __pyx_kp_u_norm_sum_of_squares_of_coordina __pyx_mstate_global->__pyx_kp_u_norm_sum_of_squares_of_coordina
#define __pyx_n_s_numbers __pyx_mstate_global->__pyx_n_s_numbers
#define __pyx_n_s_obj __pyx_mstate_global->__pyx_n_s_obj
#define __pyx_n_s_odd __pyx_mstate_global->__pyx_n_s_odd
#define __pyx_kp_u_odd_line_1509 __pyx_mstate_global->__pyx_kp_u_odd_line_1509
#define __pyx_n_s_other __pyx_mstate_global->__pyx_n_s_other
#define __pyx_n_s_outer_pow __pyx_mstate_global->__pyx_n_s_outer_pow
#define __pyx_kp_u_outer_pow_line_1630 __pyx_mstate_global->__pyx_kp_u_outer_pow_line_1630
#define __pyx_n_s_p __pyx_mstate_global->__pyx_n_s_p
#define __pyx_n_s_pi __pyx_mstate_global->__pyx_n_s_pi
#define __pyx_n_s_pow __pyx_mstate_global->__pyx_n_s_pow
#define __pyx_kp_u_pow_line_1606 __pyx_mstate_global->__pyx_kp_u_pow_line_1606
#define __pyx_n_s_pure __pyx_mstate_global->__pyx_n_s_pure
#define __pyx_kp_u_pure_line_1489 __pyx_mstate_global->__pyx_kp_u_pure_line_1489
#define __pyx_n_s_pyx_state __pyx_mstate_global->__pyx_n_s_pyx_state
#define __pyx_n_s_pyx_vtable __pyx_mstate_global->__pyx_n_s_pyx_vtable
#define __pyx_n_s_q __pyx_mstate_global->__pyx_n_s_q
#define __pyx_n_s_quad __pyx_mstate_global->__pyx_n_s_quad
#define __pyx_kp_u_quad_line_1563 __pyx_mstate_global->__pyx_kp_u_quad_line_1563
#define __pyx_n_s_random_clifford __pyx_mstate_global->__pyx_n_s_random_clifford
#define __pyx_kp_u_random_clifford_line_1927 __pyx_mstate_global->__pyx_kp_u_random_clifford_line_1927
#define __pyx_n_s_range __pyx_mstate_global->__pyx_n_s_range
#define __pyx_n_s_real __pyx_mstate_global->__pyx_n_s_real
#define __pyx_kp_u_real_line_1467 __pyx_mstate_global->__pyx_kp_u_real_line_1467
#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_reframe __pyx_mstate_global->__pyx_n_s_reframe
#define __pyx_n_s_result __pyx_mstate_global->__pyx_n_s_result
#define __pyx_n_s_reverse __pyx_mstate_global->__pyx_n_s_reverse
#define __pyx_kp_u_reverse_line_1533 __pyx_mstate_global->__pyx_kp_u_reverse_line_1533
#define __pyx_n_s_rhs __pyx_mstate_global->__pyx_n_s_rhs
#define __pyx_n_s_scalar __pyx_mstate_global->__pyx_n_s_scalar
#define __pyx_n_s_scalar_epsilon __pyx_mstate_global->__pyx_n_s_scalar_epsilon
#define __pyx_kp_u_scalar_line_1456 __pyx_mstate_global->__pyx_kp_u_scalar_line_1456
#define __pyx_n_s_self __pyx_mstate_global->__pyx_n_s_self
#define __pyx_n_s_send __pyx_mstate_global->__pyx_n_s_send
#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_sign_of_mult __pyx_mstate_global->__pyx_n_s_sign_of_mult
#define __pyx_n_s_sign_of_square __pyx_mstate_global->__pyx_n_s_sign_of_square
#define __pyx_n_s_sin __pyx_mstate_global->__pyx_n_s_sin
#define __pyx_kp_u_sin_line_1791 __pyx_mstate_global->__pyx_kp_u_sin_line_1791
#define __pyx_n_s_sinh __pyx_mstate_global->__pyx_n_s_sinh
#define __pyx_kp_u_sinh_line_1831 __pyx_mstate_global->__pyx_kp_u_sinh_line_1831
#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_kp_u_sqrt_line_1654 __pyx_mstate_global->__pyx_kp_u_sqrt_line_1654
#define __pyx_kp_s_stringsource __pyx_mstate_global->__pyx_kp_s_stringsource
#define __pyx_n_s_tan __pyx_mstate_global->__pyx_n_s_tan
#define __pyx_kp_u_tan_line_1864 __pyx_mstate_global->__pyx_kp_u_tan_line_1864
#define __pyx_n_s_tanh __pyx_mstate_global->__pyx_n_s_tanh
#define __pyx_kp_u_tanh_line_1898 __pyx_mstate_global->__pyx_kp_u_tanh_line_1898
#define __pyx_n_s_tau __pyx_mstate_global->__pyx_n_s_tau
#define __pyx_n_s_test __pyx_mstate_global->__pyx_n_s_test
#define __pyx_n_s_test_2 __pyx_mstate_global->__pyx_n_s_test_2
#define __pyx_n_s_testmod __pyx_mstate_global->__pyx_n_s_testmod
#define __pyx_n_s_threshold __pyx_mstate_global->__pyx_n_s_threshold
#define __pyx_n_s_throw __pyx_mstate_global->__pyx_n_s_throw
#define __pyx_kp_u_to_frame __pyx_mstate_global->__pyx_kp_u_to_frame
#define __pyx_n_s_tol __pyx_mstate_global->__pyx_n_s_tol
#define __pyx_n_s_truncated __pyx_mstate_global->__pyx_n_s_truncated
#define __pyx_kp_u_using __pyx_mstate_global->__pyx_kp_u_using
#define __pyx_kp_u_using_invalid __pyx_mstate_global->__pyx_kp_u_using_invalid
#define __pyx_kp_u_utf_8 __pyx_mstate_global->__pyx_kp_u_utf_8
#define __pyx_kp_u_value __pyx_mstate_global->__pyx_kp_u_value
#define __pyx_n_s_vec __pyx_mstate_global->__pyx_n_s_vec
#define __pyx_n_s_vector_part __pyx_mstate_global->__pyx_n_s_vector_part
#define __pyx_n_s_version __pyx_mstate_global->__pyx_n_s_version
#define __pyx_n_s_xrange __pyx_mstate_global->__pyx_n_s_xrange
#define __pyx_float_0_0 __pyx_mstate_global->__pyx_float_0_0
#define __pyx_float_1_0 __pyx_mstate_global->__pyx_float_1_0
#define __pyx_float_4_0 __pyx_mstate_global->__pyx_float_4_0
#define __pyx_float_8_0 __pyx_mstate_global->__pyx_float_8_0
#define __pyx_int_0 __pyx_mstate_global->__pyx_int_0
#define __pyx_int_1 __pyx_mstate_global->__pyx_int_1
#define __pyx_int_4 __pyx_mstate_global->__pyx_int_4
#define __pyx_int_neg_1 __pyx_mstate_global->__pyx_int_neg_1
#define __pyx_tuple__8 __pyx_mstate_global->__pyx_tuple__8
#define __pyx_tuple__10 __pyx_mstate_global->__pyx_tuple__10
#define __pyx_tuple__18 __pyx_mstate_global->__pyx_tuple__18
#define __pyx_tuple__22 __pyx_mstate_global->__pyx_tuple__22
#define __pyx_tuple__25 __pyx_mstate_global->__pyx_tuple__25
#define __pyx_tuple__27 __pyx_mstate_global->__pyx_tuple__27
#define __pyx_tuple__31 __pyx_mstate_global->__pyx_tuple__31
#define __pyx_tuple__34 __pyx_mstate_global->__pyx_tuple__34
#define __pyx_tuple__41 __pyx_mstate_global->__pyx_tuple__41
#define __pyx_tuple__43 __pyx_mstate_global->__pyx_tuple__43
#define __pyx_tuple__51 __pyx_mstate_global->__pyx_tuple__51
#define __pyx_tuple__60 __pyx_mstate_global->__pyx_tuple__60
#define __pyx_tuple__62 __pyx_mstate_global->__pyx_tuple__62
#define __pyx_tuple__64 __pyx_mstate_global->__pyx_tuple__64
#define __pyx_tuple__79 __pyx_mstate_global->__pyx_tuple__79
#define __pyx_tuple__83 __pyx_mstate_global->__pyx_tuple__83
#define __pyx_tuple__99 __pyx_mstate_global->__pyx_tuple__99
#define __pyx_tuple__101 __pyx_mstate_global->__pyx_tuple__101
#define __pyx_tuple__105 __pyx_mstate_global->__pyx_tuple__105
#define __pyx_tuple__107 __pyx_mstate_global->__pyx_tuple__107
#define __pyx_tuple__109 __pyx_mstate_global->__pyx_tuple__109
#define __pyx_tuple__110 __pyx_mstate_global->__pyx_tuple__110
#define __pyx_tuple__111 __pyx_mstate_global->__pyx_tuple__111
#define __pyx_codeobj__11 __pyx_mstate_global->__pyx_codeobj__11
#define __pyx_codeobj__12 __pyx_mstate_global->__pyx_codeobj__12
#define __pyx_codeobj__13 __pyx_mstate_global->__pyx_codeobj__13
#define __pyx_codeobj__14 __pyx_mstate_global->__pyx_codeobj__14
#define __pyx_codeobj__15 __pyx_mstate_global->__pyx_codeobj__15
#define __pyx_codeobj__16 __pyx_mstate_global->__pyx_codeobj__16
#define __pyx_codeobj__17 __pyx_mstate_global->__pyx_codeobj__17
#define __pyx_codeobj__19 __pyx_mstate_global->__pyx_codeobj__19
#define __pyx_codeobj__20 __pyx_mstate_global->__pyx_codeobj__20
#define __pyx_codeobj__21 __pyx_mstate_global->__pyx_codeobj__21
#define __pyx_codeobj__23 __pyx_mstate_global->__pyx_codeobj__23
#define __pyx_codeobj__24 __pyx_mstate_global->__pyx_codeobj__24
#define __pyx_codeobj__26 __pyx_mstate_global->__pyx_codeobj__26
#define __pyx_codeobj__28 __pyx_mstate_global->__pyx_codeobj__28
#define __pyx_codeobj__29 __pyx_mstate_global->__pyx_codeobj__29
#define __pyx_codeobj__30 __pyx_mstate_global->__pyx_codeobj__30
#define __pyx_codeobj__32 __pyx_mstate_global->__pyx_codeobj__32
#define __pyx_codeobj__33 __pyx_mstate_global->__pyx_codeobj__33
#define __pyx_codeobj__35 __pyx_mstate_global->__pyx_codeobj__35
#define __pyx_codeobj__36 __pyx_mstate_global->__pyx_codeobj__36
#define __pyx_codeobj__37 __pyx_mstate_global->__pyx_codeobj__37
#define __pyx_codeobj__38 __pyx_mstate_global->__pyx_codeobj__38
#define __pyx_codeobj__39 __pyx_mstate_global->__pyx_codeobj__39
#define __pyx_codeobj__40 __pyx_mstate_global->__pyx_codeobj__40
#define __pyx_codeobj__42 __pyx_mstate_global->__pyx_codeobj__42
#define __pyx_codeobj__44 __pyx_mstate_global->__pyx_codeobj__44
#define __pyx_codeobj__45 __pyx_mstate_global->__pyx_codeobj__45
#define __pyx_codeobj__46 __pyx_mstate_global->__pyx_codeobj__46
#define __pyx_codeobj__47 __pyx_mstate_global->__pyx_codeobj__47
#define __pyx_codeobj__48 __pyx_mstate_global->__pyx_codeobj__48
#define __pyx_codeobj__49 __pyx_mstate_global->__pyx_codeobj__49
#define __pyx_codeobj__50 __pyx_mstate_global->__pyx_codeobj__50
#define __pyx_codeobj__52 __pyx_mstate_global->__pyx_codeobj__52
#define __pyx_codeobj__53 __pyx_mstate_global->__pyx_codeobj__53
#define __pyx_codeobj__54 __pyx_mstate_global->__pyx_codeobj__54
#define __pyx_codeobj__55 __pyx_mstate_global->__pyx_codeobj__55
#define __pyx_codeobj__56 __pyx_mstate_global->__pyx_codeobj__56
#define __pyx_codeobj__57 __pyx_mstate_global->__pyx_codeobj__57
#define __pyx_codeobj__58 __pyx_mstate_global->__pyx_codeobj__58
#define __pyx_codeobj__59 __pyx_mstate_global->__pyx_codeobj__59
#define __pyx_codeobj__61 __pyx_mstate_global->__pyx_codeobj__61
#define __pyx_codeobj__63 __pyx_mstate_global->__pyx_codeobj__63
#define __pyx_codeobj__65 __pyx_mstate_global->__pyx_codeobj__65
#define __pyx_codeobj__66 __pyx_mstate_global->__pyx_codeobj__66
#define __pyx_codeobj__67 __pyx_mstate_global->__pyx_codeobj__67
#define __pyx_codeobj__68 __pyx_mstate_global->__pyx_codeobj__68
#define __pyx_codeobj__69 __pyx_mstate_global->__pyx_codeobj__69
#define __pyx_codeobj__70 __pyx_mstate_global->__pyx_codeobj__70
#define __pyx_codeobj__71 __pyx_mstate_global->__pyx_codeobj__71
#define __pyx_codeobj__72 __pyx_mstate_global->__pyx_codeobj__72
#define __pyx_codeobj__73 __pyx_mstate_global->__pyx_codeobj__73
#define __pyx_codeobj__74 __pyx_mstate_global->__pyx_codeobj__74
#define __pyx_codeobj__75 __pyx_mstate_global->__pyx_codeobj__75
#define __pyx_codeobj__76 __pyx_mstate_global->__pyx_codeobj__76
#define __pyx_codeobj__77 __pyx_mstate_global->__pyx_codeobj__77
#define __pyx_codeobj__78 __pyx_mstate_global->__pyx_codeobj__78
#define __pyx_codeobj__80 __pyx_mstate_global->__pyx_codeobj__80
#define __pyx_codeobj__81 __pyx_mstate_global->__pyx_codeobj__81
#define __pyx_codeobj__82 __pyx_mstate_global->__pyx_codeobj__82
#define __pyx_codeobj__84 __pyx_mstate_global->__pyx_codeobj__84
#define __pyx_codeobj__85 __pyx_mstate_global->__pyx_codeobj__85
#define __pyx_codeobj__86 __pyx_mstate_global->__pyx_codeobj__86
#define __pyx_codeobj__87 __pyx_mstate_global->__pyx_codeobj__87
#define __pyx_codeobj__88 __pyx_mstate_global->__pyx_codeobj__88
#define __pyx_codeobj__89 __pyx_mstate_global->__pyx_codeobj__89
#define __pyx_codeobj__90 __pyx_mstate_global->__pyx_codeobj__90
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                  allocfunc alloc_func = (allocfunc)PyType_GetSlot(t, Py_tp_alloc);
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                    if (__Pyx_PyObject_GetSlot(o, tp_dealloc, destructor) == __pyx_tp_dealloc_8PyClical_index_set) {
                      if (PyObject_CallFinalizerFromDealloc(o)) return;
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                  {
                    PyObject *etype, *eval, *etb;
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                    __Pyx_SET_REFCNT(o, Py_REFCNT(o) - 1);
                    PyErr_Restore(etype, eval, etb);
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                  (*Py_TYPE(o)->tp_free)(o);
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                  {
                    freefunc tp_free = (freefunc)PyType_GetSlot(Py_TYPE(o), Py_tp_free);
                    if (tp_free) tp_free(o);
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                }
                static PyObject *__pyx_sq_item_8PyClical_index_set(PyObject *o, Py_ssize_t i) {
                  PyObject *r;
                  PyObject *x = PyInt_FromSsize_t(i); if(!x) return 0;
                  r = Py_TYPE(o)->tp_as_mapping->mp_subscript(o, x);
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                static int __pyx_mp_ass_subscript_8PyClical_index_set(PyObject *o, PyObject *i, PyObject *v) {
                  if (v) {
                    return __pyx_pw_8PyClical_9index_set_9__setitem__(o, i, v);
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                  else {
                    __Pyx_TypeName o_type_name;
                    o_type_name = __Pyx_PyType_GetName(Py_TYPE(o));
                    PyErr_Format(PyExc_NotImplementedError,
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                static CYTHON_INLINE PyObject *__pyx_nb_and_8PyClical_index_set_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_and : NULL;
#else
    slot = (binaryfunc) PyType_GetSlot(type, Py_nb_and);
#endif
    return slot ? slot(left, right ) : __Pyx_NewRef(Py_NotImplemented);
}
static PyObject *__pyx_nb_and_8PyClical_index_set(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_and == &__pyx_nb_and_8PyClical_index_set)
#endif
            || __Pyx_TypeCheck(left, __pyx_ptype_8PyClical_index_set);
    if (maybe_self_is_left) {
        PyObject *res;
        res = __pyx_pw_8PyClical_9index_set_24__and__(left, right);
        if (res != Py_NotImplemented) return res;
        Py_DECREF(res);
    }
    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_and == &__pyx_nb_and_8PyClical_index_set)
#endif
            || PyType_IsSubtype(Py_TYPE(right), __pyx_ptype_8PyClical_index_set);
    if (maybe_self_is_right) {
        return __pyx_nb_and_8PyClical_index_set_maybe_call_slot(__Pyx_PyType_GetSlot(__pyx_ptype_8PyClical_index_set, tp_base, PyTypeObject*), left, right );
    }
    return __Pyx_NewRef(Py_NotImplemented);
}



                static CYTHON_INLINE PyObject *__pyx_nb_xor_8PyClical_index_set_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_xor : NULL;
#else
    slot = (binaryfunc) PyType_GetSlot(type, Py_nb_xor);
#endif
    return slot ? slot(left, right ) : __Pyx_NewRef(Py_NotImplemented);
}
static PyObject *__pyx_nb_xor_8PyClical_index_set(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_xor == &__pyx_nb_xor_8PyClical_index_set)
#endif
            || __Pyx_TypeCheck(left, __pyx_ptype_8PyClical_index_set);
    if (maybe_self_is_left) {
        PyObject *res;
        res = __pyx_pw_8PyClical_9index_set_20__xor__(left, right);
        if (res != Py_NotImplemented) return res;
        Py_DECREF(res);
    }
    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_xor == &__pyx_nb_xor_8PyClical_index_set)
#endif
            || PyType_IsSubtype(Py_TYPE(right), __pyx_ptype_8PyClical_index_set);
    if (maybe_self_is_right) {
        return __pyx_nb_xor_8PyClical_index_set_maybe_call_slot(__Pyx_PyType_GetSlot(__pyx_ptype_8PyClical_index_set, tp_base, PyTypeObject*), left, right );
    }
    return __Pyx_NewRef(Py_NotImplemented);
}



                static CYTHON_INLINE PyObject *__pyx_nb_or_8PyClical_index_set_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_or : NULL;
#else
    slot = (binaryfunc) PyType_GetSlot(type, Py_nb_or);
#endif
    return slot ? slot(left, right ) : __Pyx_NewRef(Py_NotImplemented);
}
static PyObject *__pyx_nb_or_8PyClical_index_set(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_or == &__pyx_nb_or_8PyClical_index_set)
#endif
            || __Pyx_TypeCheck(left, __pyx_ptype_8PyClical_index_set);
    if (maybe_self_is_left) {
        PyObject *res;
        res = __pyx_pw_8PyClical_9index_set_28__or__(left, right);
        if (res != Py_NotImplemented) return res;
        Py_DECREF(res);
    }
    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_or == &__pyx_nb_or_8PyClical_index_set)
#endif
            || PyType_IsSubtype(Py_TYPE(right), __pyx_ptype_8PyClical_index_set);
    if (maybe_self_is_right) {
        return __pyx_nb_or_8PyClical_index_set_maybe_call_slot(__Pyx_PyType_GetSlot(__pyx_ptype_8PyClical_index_set, tp_base, PyTypeObject*), left, right );
    }
    return __Pyx_NewRef(Py_NotImplemented);
}



                static PyObject *__pyx_specialmethod___pyx_pw_8PyClical_9index_set_48__repr__(PyObject *self, CYTHON_UNUSED PyObject *arg) {
                  return __pyx_pw_8PyClical_9index_set_48__repr__(self);
                }

                static PyMethodDef __pyx_methods_8PyClical_index_set[] = {
                  {"count", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_8PyClical_9index_set_32count, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_8PyClical_9index_set_31count},
                  {"count_neg", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_8PyClical_9index_set_34count_neg, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_8PyClical_9index_set_33count_neg},
                  {"count_pos", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_8PyClical_9index_set_36count_pos, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_8PyClical_9index_set_35count_pos},
                  {"min", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_8PyClical_9index_set_38min, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_8PyClical_9index_set_37min},
                  {"max", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_8PyClical_9index_set_40max, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_8PyClical_9index_set_39max},
                  {"hash_fn", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_8PyClical_9index_set_42hash_fn, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_8PyClical_9index_set_41hash_fn},
                  {"sign_of_mult", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_8PyClical_9index_set_44sign_of_mult, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_8PyClical_9index_set_43sign_of_mult},
                  {"sign_of_square", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_8PyClical_9index_set_46sign_of_square, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_8PyClical_9index_set_45sign_of_square},
                  {"__repr__", (PyCFunction)__pyx_specialmethod___pyx_pw_8PyClical_9index_set_48__repr__, METH_NOARGS|METH_COEXIST, __pyx_doc_8PyClical_9index_set_47__repr__},
                  {"__reduce_cython__", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_8PyClical_9index_set_52__reduce_cython__, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
                  {"__setstate_cython__", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_8PyClical_9index_set_54__setstate_cython__, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
                  {0, 0, 0, 0}
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                #if CYTHON_USE_TYPE_SPECS
                static PyType_Slot __pyx_type_8PyClical_index_set_slots[] = {
                  {Py_tp_dealloc, (void *)__pyx_tp_dealloc_8PyClical_index_set},
                  {Py_tp_repr, (void *)__pyx_pw_8PyClical_9index_set_48__repr__},
                  {Py_nb_invert, (void *)__pyx_pw_8PyClical_9index_set_18__invert__},
                  {Py_nb_and, (void *)__pyx_nb_and_8PyClical_index_set},
                  {Py_nb_xor, (void *)__pyx_nb_xor_8PyClical_index_set},
                  {Py_nb_or, (void *)__pyx_nb_or_8PyClical_index_set},
                  {Py_nb_inplace_and, (void *)__pyx_pw_8PyClical_9index_set_26__iand__},
                  {Py_nb_inplace_xor, (void *)__pyx_pw_8PyClical_9index_set_22__ixor__},
                  {Py_nb_inplace_or, (void *)__pyx_pw_8PyClical_9index_set_30__ior__},
                  {Py_sq_item, (void *)__pyx_sq_item_8PyClical_index_set},
                  {Py_sq_contains, (void *)__pyx_pw_8PyClical_9index_set_13__contains__},
                  {Py_mp_subscript, (void *)__pyx_pw_8PyClical_9index_set_11__getitem__},
                  {Py_mp_ass_subscript, (void *)__pyx_mp_ass_subscript_8PyClical_index_set},
                  {Py_tp_str, (void *)__pyx_pw_8PyClical_9index_set_50__str__},
                  {Py_tp_doc, (void *)PyDoc_STR("\n    Python class index_set wraps C++ class IndexSet.\n    ")},
                  {Py_tp_richcompare, (void *)__pyx_pw_8PyClical_9index_set_7__richcmp__},
                  {Py_tp_iter, (void *)__pyx_pw_8PyClical_9index_set_15__iter__},
                  {Py_tp_methods, (void *)__pyx_methods_8PyClical_index_set},
                  {Py_tp_new, (void *)__pyx_tp_new_8PyClical_index_set},
                  {0, 0},
                };
                static PyType_Spec __pyx_type_8PyClical_index_set_spec = {
                  "PyClical.index_set",
                  sizeof(struct __pyx_obj_8PyClical_index_set),
                  0,
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                  0, /*nb_subtract*/
                  0, /*nb_multiply*/
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                  0, /*nb_divide*/
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                  0, /*nb_remainder*/
                  0, /*nb_divmod*/
                  0, /*nb_power*/
                  0, /*nb_negative*/
                  0, /*nb_positive*/
                  0, /*nb_absolute*/
                  0, /*nb_bool*/
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                  0, /*nb_lshift*/
                  0, /*nb_rshift*/
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                  __pyx_nb_or_8PyClical_index_set, /*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
                  0, /*nb_inplace_add*/
                  0, /*nb_inplace_subtract*/
                  0, /*nb_inplace_multiply*/
                  #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000)
                  0, /*nb_inplace_divide*/
                  #endif
                  0, /*nb_inplace_remainder*/
                  0, /*nb_inplace_power*/
                  0, /*nb_inplace_lshift*/
                  0, /*nb_inplace_rshift*/
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                  0, /*nb_true_divide*/
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                  0, /*nb_inplace_true_divide*/
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                  #endif
                  #if PY_VERSION_HEX >= 0x03050000
                  0, /*nb_inplace_matrix_multiply*/
                  #endif
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                static PySequenceMethods __pyx_tp_as_sequence_index_set = {
                  0, /*sq_length*/
                  0, /*sq_concat*/
                  0, /*sq_repeat*/
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                  0, /*sq_slice*/
                  0, /*sq_ass_item*/
                  0, /*sq_ass_slice*/
                  __pyx_pw_8PyClical_9index_set_13__contains__, /*sq_contains*/
                  0, /*sq_inplace_concat*/
                  0, /*sq_inplace_repeat*/
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                static PyMappingMethods __pyx_tp_as_mapping_index_set = {
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                  __pyx_mp_ass_subscript_8PyClical_index_set, /*mp_ass_subscript*/
                };

                static PyTypeObject __pyx_type_8PyClical_index_set = {
                  PyVarObject_HEAD_INIT(0, 0)
                  "PyClical.""index_set", /*tp_name*/
                  sizeof(struct __pyx_obj_8PyClical_index_set), /*tp_basicsize*/
                  0, /*tp_itemsize*/
                  __pyx_tp_dealloc_8PyClical_index_set, /*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_8PyClical_9index_set_48__repr__, /*tp_repr*/
                  &__pyx_tp_as_number_index_set, /*tp_as_number*/
                  &__pyx_tp_as_sequence_index_set, /*tp_as_sequence*/
                  &__pyx_tp_as_mapping_index_set, /*tp_as_mapping*/
                  0, /*tp_hash*/
                  0, /*tp_call*/
                  __pyx_pw_8PyClical_9index_set_50__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*/
                  PyDoc_STR("\n    Python class index_set wraps C++ class IndexSet.\n    "), /*tp_doc*/
                  0, /*tp_traverse*/
                  0, /*tp_clear*/
                  __pyx_pw_8PyClical_9index_set_7__richcmp__, /*tp_richcompare*/
                  0, /*tp_weaklistoffset*/
                  __pyx_pw_8PyClical_9index_set_15__iter__, /*tp_iter*/
                  0, /*tp_iternext*/
                  __pyx_methods_8PyClical_index_set, /*tp_methods*/
                  0, /*tp_members*/
                  0, /*tp_getset*/
                  0, /*tp_base*/
                  0, /*tp_dict*/
                  0, /*tp_descr_get*/
                  0, /*tp_descr_set*/
                  #if !CYTHON_USE_TYPE_SPECS
                  0, /*tp_dictoffset*/
                  #endif
                  0, /*tp_init*/
                  0, /*tp_alloc*/
                  __pyx_tp_new_8PyClical_index_set, /*tp_new*/
                  0, /*tp_free*/
                  0, /*tp_is_gc*/
                  0, /*tp_bases*/
                  0, /*tp_mro*/
                  0, /*tp_cache*/
                  0, /*tp_subclasses*/
                  0, /*tp_weaklist*/
                  0, /*tp_del*/
                  0, /*tp_version_tag*/
                  #if PY_VERSION_HEX >= 0x030400a1
                  #if CYTHON_USE_TP_FINALIZE
                  0, /*tp_finalize*/
                  #else
                  NULL, /*tp_finalize*/
                  #endif
                  #endif
                  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
                  0, /*tp_vectorcall*/
                  #endif
                  #if __PYX_NEED_TP_PRINT_SLOT == 1
                  0, /*tp_print*/
                  #endif
                  #if PY_VERSION_HEX >= 0x030C0000
                  0, /*tp_watched*/
                  #endif
                  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
                  0, /*tp_pypy_flags*/
                  #endif
                };
                #endif
                static struct __pyx_vtabstruct_8PyClical_clifford __pyx_vtable_8PyClical_clifford;

                static PyObject *__pyx_tp_new_8PyClical_clifford(PyTypeObject *t, PyObject *a, PyObject *k) {
                  struct __pyx_obj_8PyClical_clifford *p;
                  PyObject *o;
                  #if CYTHON_COMPILING_IN_LIMITED_API
                  allocfunc alloc_func = (allocfunc)PyType_GetSlot(t, Py_tp_alloc);
                  o = alloc_func(t, 0);
                  #else
                  if (likely(!__Pyx_PyType_HasFeature(t, Py_TPFLAGS_IS_ABSTRACT))) {
                    o = (*t->tp_alloc)(t, 0);
                  } else {
                    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
                  }
                  if (unlikely(!o)) return 0;
                  #endif
                  p = ((struct __pyx_obj_8PyClical_clifford *)o);
                  p->__pyx_vtab = __pyx_vtabptr_8PyClical_clifford;
                  if (unlikely(__pyx_pw_8PyClical_8clifford_3__cinit__(o, a, k) < 0)) goto bad;
                  return o;
                  bad:
                  Py_DECREF(o); o = 0;
                  return NULL;
                }

                static void __pyx_tp_dealloc_8PyClical_clifford(PyObject *o) {
                  #if CYTHON_USE_TP_FINALIZE
                  if (unlikely((PY_VERSION_HEX >= 0x03080000 || __Pyx_PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE)) && __Pyx_PyObject_GetSlot(o, tp_finalize, destructor)) && (!PyType_IS_GC(Py_TYPE(o)) || !__Pyx_PyObject_GC_IsFinalized(o))) {
                    if (__Pyx_PyObject_GetSlot(o, tp_dealloc, destructor) == __pyx_tp_dealloc_8PyClical_clifford) {
                      if (PyObject_CallFinalizerFromDealloc(o)) return;
                    }
                  }
                  #endif
                  {
                    PyObject *etype, *eval, *etb;
                    PyErr_Fetch(&etype, &eval, &etb);
                    __Pyx_SET_REFCNT(o, Py_REFCNT(o) + 1);
                    __pyx_pw_8PyClical_8clifford_5__dealloc__(o);
                    __Pyx_SET_REFCNT(o, Py_REFCNT(o) - 1);
                    PyErr_Restore(etype, eval, etb);
                  }
                  #if CYTHON_USE_TYPE_SLOTS || CYTHON_COMPILING_IN_PYPY
                  (*Py_TYPE(o)->tp_free)(o);
                  #else
                  {
                    freefunc tp_free = (freefunc)PyType_GetSlot(Py_TYPE(o), Py_tp_free);
                    if (tp_free) tp_free(o);
                  }
                  #endif
                }
                static PyObject *__pyx_sq_item_8PyClical_clifford(PyObject *o, Py_ssize_t i) {
                  PyObject *r;
                  PyObject *x = PyInt_FromSsize_t(i); if(!x) return 0;
                  r = Py_TYPE(o)->tp_as_mapping->mp_subscript(o, x);
                  Py_DECREF(x);
                  return r;
                }

                static CYTHON_INLINE PyObject *__pyx_nb_add_8PyClical_clifford_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_add : NULL;
#else
    slot = (binaryfunc) PyType_GetSlot(type, Py_nb_add);
#endif
    return slot ? slot(left, right ) : __Pyx_NewRef(Py_NotImplemented);
}
static PyObject *__pyx_nb_add_8PyClical_clifford(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_add == &__pyx_nb_add_8PyClical_clifford)
#endif
            || __Pyx_TypeCheck(left, __pyx_ptype_8PyClical_clifford);
    if (maybe_self_is_left) {
        PyObject *res;
        res = __pyx_pw_8PyClical_8clifford_21__add__(left, right);
        if (res != Py_NotImplemented) return res;
        Py_DECREF(res);
    }
    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_add == &__pyx_nb_add_8PyClical_clifford)
#endif
            || PyType_IsSubtype(Py_TYPE(right), __pyx_ptype_8PyClical_clifford);
    if (maybe_self_is_right) {
        return __pyx_pw_8PyClical_8clifford_23__radd__(right, left);
    }
    return __Pyx_NewRef(Py_NotImplemented);
}



                static CYTHON_INLINE PyObject *__pyx_nb_subtract_8PyClical_clifford_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_8PyClical_clifford(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_8PyClical_clifford)
#endif
            || __Pyx_TypeCheck(left, __pyx_ptype_8PyClical_clifford);
    if (maybe_self_is_left) {
        PyObject *res;
        res = __pyx_pw_8PyClical_8clifford_27__sub__(left, right);
        if (res != Py_NotImplemented) return res;
        Py_DECREF(res);
    }
    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_8PyClical_clifford)
#endif
            || PyType_IsSubtype(Py_TYPE(right), __pyx_ptype_8PyClical_clifford);
    if (maybe_self_is_right) {
        return __pyx_pw_8PyClical_8clifford_29__rsub__(right, left);
    }
    return __Pyx_NewRef(Py_NotImplemented);
}



                static CYTHON_INLINE PyObject *__pyx_nb_multiply_8PyClical_clifford_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_8PyClical_clifford(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_8PyClical_clifford)
#endif
            || __Pyx_TypeCheck(left, __pyx_ptype_8PyClical_clifford);
    if (maybe_self_is_left) {
        PyObject *res;
        res = __pyx_pw_8PyClical_8clifford_33__mul__(left, right);
        if (res != Py_NotImplemented) return res;
        Py_DECREF(res);
    }
    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_8PyClical_clifford)
#endif
            || PyType_IsSubtype(Py_TYPE(right), __pyx_ptype_8PyClical_clifford);
    if (maybe_self_is_right) {
        return __pyx_pw_8PyClical_8clifford_35__rmul__(right, left);
    }
    return __Pyx_NewRef(Py_NotImplemented);
}



                static CYTHON_INLINE PyObject *__pyx_nb_remainder_8PyClical_clifford_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_8PyClical_clifford(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_8PyClical_clifford)
#endif
            || __Pyx_TypeCheck(left, __pyx_ptype_8PyClical_clifford);
    if (maybe_self_is_left) {
        PyObject *res;
        res = __pyx_pw_8PyClical_8clifford_39__mod__(left, right);
        if (res != Py_NotImplemented) return res;
        Py_DECREF(res);
    }
    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_8PyClical_clifford)
#endif
            || PyType_IsSubtype(Py_TYPE(right), __pyx_ptype_8PyClical_clifford);
    if (maybe_self_is_right) {
        return __pyx_pw_8PyClical_8clifford_41__rmod__(right, left);
    }
    return __Pyx_NewRef(Py_NotImplemented);
}



                static CYTHON_INLINE PyObject *__pyx_nb_power_8PyClical_clifford_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_8PyClical_clifford(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_8PyClical_clifford)
#endif
            || __Pyx_TypeCheck(left, __pyx_ptype_8PyClical_clifford);
    if (maybe_self_is_left) {
        PyObject *res;
        res = __pyx_pw_8PyClical_8clifford_69__pow__(left, right, extra_arg);
        if (res != Py_NotImplemented) return res;
        Py_DECREF(res);
    }
    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_8PyClical_clifford)
#endif
            || PyType_IsSubtype(Py_TYPE(right), __pyx_ptype_8PyClical_clifford);
    if (maybe_self_is_right) {
        return __pyx_nb_power_8PyClical_clifford_maybe_call_slot(__Pyx_PyType_GetSlot(__pyx_ptype_8PyClical_clifford, tp_base, PyTypeObject*), left, right , extra_arg);
    }
    return __Pyx_NewRef(Py_NotImplemented);
}



                static CYTHON_INLINE PyObject *__pyx_nb_and_8PyClical_clifford_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_and : NULL;
#else
    slot = (binaryfunc) PyType_GetSlot(type, Py_nb_and);
#endif
    return slot ? slot(left, right ) : __Pyx_NewRef(Py_NotImplemented);
}
static PyObject *__pyx_nb_and_8PyClical_clifford(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_and == &__pyx_nb_and_8PyClical_clifford)
#endif
            || __Pyx_TypeCheck(left, __pyx_ptype_8PyClical_clifford);
    if (maybe_self_is_left) {
        PyObject *res;
        res = __pyx_pw_8PyClical_8clifford_45__and__(left, right);
        if (res != Py_NotImplemented) return res;
        Py_DECREF(res);
    }
    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_and == &__pyx_nb_and_8PyClical_clifford)
#endif
            || PyType_IsSubtype(Py_TYPE(right), __pyx_ptype_8PyClical_clifford);
    if (maybe_self_is_right) {
        return __pyx_pw_8PyClical_8clifford_47__rand__(right, left);
    }
    return __Pyx_NewRef(Py_NotImplemented);
}



                static CYTHON_INLINE PyObject *__pyx_nb_xor_8PyClical_clifford_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_xor : NULL;
#else
    slot = (binaryfunc) PyType_GetSlot(type, Py_nb_xor);
#endif
    return slot ? slot(left, right ) : __Pyx_NewRef(Py_NotImplemented);
}
static PyObject *__pyx_nb_xor_8PyClical_clifford(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_xor == &__pyx_nb_xor_8PyClical_clifford)
#endif
            || __Pyx_TypeCheck(left, __pyx_ptype_8PyClical_clifford);
    if (maybe_self_is_left) {
        PyObject *res;
        res = __pyx_pw_8PyClical_8clifford_51__xor__(left, right);
        if (res != Py_NotImplemented) return res;
        Py_DECREF(res);
    }
    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_xor == &__pyx_nb_xor_8PyClical_clifford)
#endif
            || PyType_IsSubtype(Py_TYPE(right), __pyx_ptype_8PyClical_clifford);
    if (maybe_self_is_right) {
        return __pyx_pw_8PyClical_8clifford_53__rxor__(right, left);
    }
    return __Pyx_NewRef(Py_NotImplemented);
}



                static CYTHON_INLINE PyObject *__pyx_nb_or_8PyClical_clifford_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_or : NULL;
#else
    slot = (binaryfunc) PyType_GetSlot(type, Py_nb_or);
#endif
    return slot ? slot(left, right ) : __Pyx_NewRef(Py_NotImplemented);
}
static PyObject *__pyx_nb_or_8PyClical_clifford(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_or == &__pyx_nb_or_8PyClical_clifford)
#endif
            || __Pyx_TypeCheck(left, __pyx_ptype_8PyClical_clifford);
    if (maybe_self_is_left) {
        PyObject *res;
        res = __pyx_pw_8PyClical_8clifford_65__or__(left, right);
        if (res != Py_NotImplemented) return res;
        Py_DECREF(res);
    }
    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_or == &__pyx_nb_or_8PyClical_clifford)
#endif
            || PyType_IsSubtype(Py_TYPE(right), __pyx_ptype_8PyClical_clifford);
    if (maybe_self_is_right) {
        return __pyx_nb_or_8PyClical_clifford_maybe_call_slot(__Pyx_PyType_GetSlot(__pyx_ptype_8PyClical_clifford, tp_base, PyTypeObject*), left, right );
    }
    return __Pyx_NewRef(Py_NotImplemented);
}



                static CYTHON_INLINE PyObject *__pyx_nb_true_divide_8PyClical_clifford_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_8PyClical_clifford(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_8PyClical_clifford)
#endif
            || __Pyx_TypeCheck(left, __pyx_ptype_8PyClical_clifford);
    if (maybe_self_is_left) {
        PyObject *res;
        res = __pyx_pw_8PyClical_8clifford_57__truediv__(left, right);
        if (res != Py_NotImplemented) return res;
        Py_DECREF(res);
    }
    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_8PyClical_clifford)
#endif
            || PyType_IsSubtype(Py_TYPE(right), __pyx_ptype_8PyClical_clifford);
    if (maybe_self_is_right) {
        return __pyx_pw_8PyClical_8clifford_59__rtruediv__(right, left);
    }
    return __Pyx_NewRef(Py_NotImplemented);
}



                static PyObject *__pyx_specialmethod___pyx_pw_8PyClical_8clifford_109__repr__(PyObject *self, CYTHON_UNUSED PyObject *arg) {
                  return __pyx_pw_8PyClical_8clifford_109__repr__(self);
                }

                static PyMethodDef __pyx_methods_8PyClical_clifford[] = {
                  {"reframe", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_8PyClical_8clifford_11reframe, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_8PyClical_8clifford_10reframe},
                  {"__radd__", (PyCFunction)__pyx_pw_8PyClical_8clifford_23__radd__, METH_O|METH_COEXIST, __pyx_doc_8PyClical_8clifford_22__radd__},
                  {"__rsub__", (PyCFunction)__pyx_pw_8PyClical_8clifford_29__rsub__, METH_O|METH_COEXIST, __pyx_doc_8PyClical_8clifford_28__rsub__},
                  {"__rmul__", (PyCFunction)__pyx_pw_8PyClical_8clifford_35__rmul__, METH_O|METH_COEXIST, __pyx_doc_8PyClical_8clifford_34__rmul__},
                  {"__rmod__", (PyCFunction)__pyx_pw_8PyClical_8clifford_41__rmod__, METH_O|METH_COEXIST, __pyx_doc_8PyClical_8clifford_40__rmod__},
                  {"__rand__", (PyCFunction)__pyx_pw_8PyClical_8clifford_47__rand__, METH_O|METH_COEXIST, __pyx_doc_8PyClical_8clifford_46__rand__},
                  {"__rxor__", (PyCFunction)__pyx_pw_8PyClical_8clifford_53__rxor__, METH_O|METH_COEXIST, __pyx_doc_8PyClical_8clifford_52__rxor__},
                  {"__rtruediv__", (PyCFunction)__pyx_pw_8PyClical_8clifford_59__rtruediv__, METH_O|METH_COEXIST, __pyx_doc_8PyClical_8clifford_58__rtruediv__},
                  {"inv", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_8PyClical_8clifford_63inv, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_8PyClical_8clifford_62inv},
                  {"pow", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_8PyClical_8clifford_71pow, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_8PyClical_8clifford_70pow},
                  {"outer_pow", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_8PyClical_8clifford_73outer_pow, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_8PyClical_8clifford_72outer_pow},
                  {"scalar", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_8PyClical_8clifford_77scalar, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_8PyClical_8clifford_76scalar},
                  {"pure", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_8PyClical_8clifford_79pure, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_8PyClical_8clifford_78pure},
                  {"even", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_8PyClical_8clifford_81even, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_8PyClical_8clifford_80even},
                  {"odd", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_8PyClical_8clifford_83odd, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_8PyClical_8clifford_82odd},
                  {"vector_part", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_8PyClical_8clifford_85vector_part, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_8PyClical_8clifford_84vector_part},
                  {"involute", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_8PyClical_8clifford_87involute, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_8PyClical_8clifford_86involute},
                  {"reverse", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_8PyClical_8clifford_89reverse, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_8PyClical_8clifford_88reverse},
                  {"conj", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_8PyClical_8clifford_91conj, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_8PyClical_8clifford_90conj},
                  {"quad", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_8PyClical_8clifford_93quad, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_8PyClical_8clifford_92quad},
                  {"norm", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_8PyClical_8clifford_95norm, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_8PyClical_8clifford_94norm},
                  {"abs", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_8PyClical_8clifford_97abs, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_8PyClical_8clifford_96abs},
                  {"max_abs", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_8PyClical_8clifford_99max_abs, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_8PyClical_8clifford_98max_abs},
                  {"truncated", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_8PyClical_8clifford_101truncated, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_8PyClical_8clifford_100truncated},
                  {"isinf", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_8PyClical_8clifford_103isinf, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_8PyClical_8clifford_102isinf},
                  {"isnan", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_8PyClical_8clifford_105isnan, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_8PyClical_8clifford_104isnan},
                  {"frame", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_8PyClical_8clifford_107frame, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_8PyClical_8clifford_106frame},
                  {"__repr__", (PyCFunction)__pyx_specialmethod___pyx_pw_8PyClical_8clifford_109__repr__, METH_NOARGS|METH_COEXIST, __pyx_doc_8PyClical_8clifford_108__repr__},
                  {"__reduce_cython__", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_8PyClical_8clifford_113__reduce_cython__, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
                  {"__setstate_cython__", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_8PyClical_8clifford_115__setstate_cython__, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
                  {0, 0, 0, 0}
                };
                #if CYTHON_USE_TYPE_SPECS
                static PyType_Slot __pyx_type_8PyClical_clifford_slots[] = {
                  {Py_tp_dealloc, (void *)__pyx_tp_dealloc_8PyClical_clifford},
                  {Py_tp_repr, (void *)__pyx_pw_8PyClical_8clifford_109__repr__},
                  {Py_nb_add, (void *)__pyx_nb_add_8PyClical_clifford},
                  {Py_nb_subtract, (void *)__pyx_nb_subtract_8PyClical_clifford},
                  {Py_nb_multiply, (void *)__pyx_nb_multiply_8PyClical_clifford},
                  {Py_nb_remainder, (void *)__pyx_nb_remainder_8PyClical_clifford},
                  {Py_nb_power, (void *)__pyx_nb_power_8PyClical_clifford},
                  {Py_nb_negative, (void *)__pyx_pw_8PyClical_8clifford_17__neg__},
                  {Py_nb_positive, (void *)__pyx_pw_8PyClical_8clifford_19__pos__},
                  {Py_nb_and, (void *)__pyx_nb_and_8PyClical_clifford},
                  {Py_nb_xor, (void *)__pyx_nb_xor_8PyClical_clifford},
                  {Py_nb_or, (void *)__pyx_nb_or_8PyClical_clifford},
                  {Py_nb_inplace_add, (void *)__pyx_pw_8PyClical_8clifford_25__iadd__},
                  {Py_nb_inplace_subtract, (void *)__pyx_pw_8PyClical_8clifford_31__isub__},
                  {Py_nb_inplace_multiply, (void *)__pyx_pw_8PyClical_8clifford_37__imul__},
                  #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000)
                  {Py_nb_inplace_divide, (void *)__pyx_pw_8PyClical_8clifford_61__idiv__},
                  #endif
                  {Py_nb_inplace_remainder, (void *)__pyx_pw_8PyClical_8clifford_43__imod__},
                  {Py_nb_inplace_and, (void *)__pyx_pw_8PyClical_8clifford_49__iand__},
                  {Py_nb_inplace_xor, (void *)__pyx_pw_8PyClical_8clifford_55__ixor__},
                  {Py_nb_inplace_or, (void *)__pyx_pw_8PyClical_8clifford_67__ior__},
                  {Py_nb_true_divide, (void *)__pyx_nb_true_divide_8PyClical_clifford},
                  {Py_sq_item, (void *)__pyx_sq_item_8PyClical_clifford},
                  {Py_sq_contains, (void *)__pyx_pw_8PyClical_8clifford_7__contains__},
                  {Py_mp_subscript, (void *)__pyx_pw_8PyClical_8clifford_15__getitem__},
                  {Py_tp_call, (void *)__pyx_pw_8PyClical_8clifford_75__call__},
                  {Py_tp_str, (void *)__pyx_pw_8PyClical_8clifford_111__str__},
                  {Py_tp_doc, (void *)PyDoc_STR("\n    Python class clifford wraps C++ class Clifford.\n    ")},
                  {Py_tp_richcompare, (void *)__pyx_pw_8PyClical_8clifford_13__richcmp__},
                  {Py_tp_iter, (void *)__pyx_pw_8PyClical_8clifford_9__iter__},
                  {Py_tp_methods, (void *)__pyx_methods_8PyClical_clifford},
                  {Py_tp_new, (void *)__pyx_tp_new_8PyClical_clifford},
                  {0, 0},
                };
                static PyType_Spec __pyx_type_8PyClical_clifford_spec = {
                  "PyClical.clifford",
                  sizeof(struct __pyx_obj_8PyClical_clifford),
                  0,
                  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE,
                  __pyx_type_8PyClical_clifford_slots,
                };
                #else

                static PyNumberMethods __pyx_tp_as_number_clifford = {
                  __pyx_nb_add_8PyClical_clifford, /*nb_add*/
                  __pyx_nb_subtract_8PyClical_clifford, /*nb_subtract*/
                  __pyx_nb_multiply_8PyClical_clifford, /*nb_multiply*/
                  #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000)
                  0, /*nb_divide*/
                  #endif
                  __pyx_nb_remainder_8PyClical_clifford, /*nb_remainder*/
                  0, /*nb_divmod*/
                  __pyx_nb_power_8PyClical_clifford, /*nb_power*/
                  __pyx_pw_8PyClical_8clifford_17__neg__, /*nb_negative*/
                  __pyx_pw_8PyClical_8clifford_19__pos__, /*nb_positive*/
                  0, /*nb_absolute*/
                  0, /*nb_bool*/
                  0, /*nb_invert*/
                  0, /*nb_lshift*/
                  0, /*nb_rshift*/
                  __pyx_nb_and_8PyClical_clifford, /*nb_and*/
                  __pyx_nb_xor_8PyClical_clifford, /*nb_xor*/
                  __pyx_nb_or_8PyClical_clifford, /*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_8PyClical_8clifford_25__iadd__, /*nb_inplace_add*/
                  __pyx_pw_8PyClical_8clifford_31__isub__, /*nb_inplace_subtract*/
                  __pyx_pw_8PyClical_8clifford_37__imul__, /*nb_inplace_multiply*/
                  #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000)
                  __pyx_pw_8PyClical_8clifford_61__idiv__, /*nb_inplace_divide*/
                  #endif
                  __pyx_pw_8PyClical_8clifford_43__imod__, /*nb_inplace_remainder*/
                  0, /*nb_inplace_power*/
                  0, /*nb_inplace_lshift*/
                  0, /*nb_inplace_rshift*/
                  __pyx_pw_8PyClical_8clifford_49__iand__, /*nb_inplace_and*/
                  __pyx_pw_8PyClical_8clifford_55__ixor__, /*nb_inplace_xor*/
                  __pyx_pw_8PyClical_8clifford_67__ior__, /*nb_inplace_or*/
                  0, /*nb_floor_divide*/
                  __pyx_nb_true_divide_8PyClical_clifford, /*nb_true_divide*/
                  0, /*nb_inplace_floor_divide*/
                  0, /*nb_inplace_true_divide*/
                  0, /*nb_index*/
                  #if PY_VERSION_HEX >= 0x03050000
                  0, /*nb_matrix_multiply*/
                  #endif
                  #if PY_VERSION_HEX >= 0x03050000
                  0, /*nb_inplace_matrix_multiply*/
                  #endif
                };

                static PySequenceMethods __pyx_tp_as_sequence_clifford = {
                  0, /*sq_length*/
                  0, /*sq_concat*/
                  0, /*sq_repeat*/
                  __pyx_sq_item_8PyClical_clifford, /*sq_item*/
                  0, /*sq_slice*/
                  0, /*sq_ass_item*/
                  0, /*sq_ass_slice*/
                  __pyx_pw_8PyClical_8clifford_7__contains__, /*sq_contains*/
                  0, /*sq_inplace_concat*/
                  0, /*sq_inplace_repeat*/
                };

                static PyMappingMethods __pyx_tp_as_mapping_clifford = {
                  0, /*mp_length*/
                  __pyx_pw_8PyClical_8clifford_15__getitem__, /*mp_subscript*/
                  0, /*mp_ass_subscript*/
                };

                static PyTypeObject __pyx_type_8PyClical_clifford = {
                  PyVarObject_HEAD_INIT(0, 0)
                  "PyClical.""clifford", /*tp_name*/
                  sizeof(struct __pyx_obj_8PyClical_clifford), /*tp_basicsize*/
                  0, /*tp_itemsize*/
                  __pyx_tp_dealloc_8PyClical_clifford, /*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_8PyClical_8clifford_109__repr__, /*tp_repr*/
                  &__pyx_tp_as_number_clifford, /*tp_as_number*/
                  &__pyx_tp_as_sequence_clifford, /*tp_as_sequence*/
                  &__pyx_tp_as_mapping_clifford, /*tp_as_mapping*/
                  0, /*tp_hash*/
                  __pyx_pw_8PyClical_8clifford_75__call__, /*tp_call*/
                  __pyx_pw_8PyClical_8clifford_111__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*/
                  PyDoc_STR("\n    Python class clifford wraps C++ class Clifford.\n    "), /*tp_doc*/
                  0, /*tp_traverse*/
                  0, /*tp_clear*/
                  __pyx_pw_8PyClical_8clifford_13__richcmp__, /*tp_richcompare*/
                  0, /*tp_weaklistoffset*/
                  __pyx_pw_8PyClical_8clifford_9__iter__, /*tp_iter*/
                  0, /*tp_iternext*/
                  __pyx_methods_8PyClical_clifford, /*tp_methods*/
                  0, /*tp_members*/
                  0, /*tp_getset*/
                  0, /*tp_base*/
                  0, /*tp_dict*/
                  0, /*tp_descr_get*/
                  0, /*tp_descr_set*/
                  #if !CYTHON_USE_TYPE_SPECS
                  0, /*tp_dictoffset*/
                  #endif
                  0, /*tp_init*/
                  0, /*tp_alloc*/
                  __pyx_tp_new_8PyClical_clifford, /*tp_new*/
                  0, /*tp_free*/
                  0, /*tp_is_gc*/
                  0, /*tp_bases*/
                  0, /*tp_mro*/
                  0, /*tp_cache*/
                  0, /*tp_subclasses*/
                  0, /*tp_weaklist*/
                  0, /*tp_del*/
                  0, /*tp_version_tag*/
                  #if PY_VERSION_HEX >= 0x030400a1
                  #if CYTHON_USE_TP_FINALIZE
                  0, /*tp_finalize*/
                  #else
                  NULL, /*tp_finalize*/
                  #endif
                  #endif
                  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
                  0, /*tp_vectorcall*/
                  #endif
                  #if __PYX_NEED_TP_PRINT_SLOT == 1
                  0, /*tp_print*/
                  #endif
                  #if PY_VERSION_HEX >= 0x030C0000
                  0, /*tp_watched*/
                  #endif
                  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
                  0, /*tp_pypy_flags*/
                  #endif
                };
                #endif

                static struct __pyx_obj_8PyClical___pyx_scope_struct____iter__ *__pyx_freelist_8PyClical___pyx_scope_struct____iter__[8];
                static int __pyx_freecount_8PyClical___pyx_scope_struct____iter__ = 0;

                static PyObject *__pyx_tp_new_8PyClical___pyx_scope_struct____iter__(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
                  PyObject *o;
                  #if CYTHON_COMPILING_IN_LIMITED_API
                  allocfunc alloc_func = (allocfunc)PyType_GetSlot(t, Py_tp_alloc);
                  o = alloc_func(t, 0);
                  #else
                  #if CYTHON_COMPILING_IN_CPYTHON
                  if (likely((int)(__pyx_freecount_8PyClical___pyx_scope_struct____iter__ > 0) & (int)(t->tp_basicsize == sizeof(struct __pyx_obj_8PyClical___pyx_scope_struct____iter__)))) {
                    o = (PyObject*)__pyx_freelist_8PyClical___pyx_scope_struct____iter__[--__pyx_freecount_8PyClical___pyx_scope_struct____iter__];
                    memset(o, 0, sizeof(struct __pyx_obj_8PyClical___pyx_scope_struct____iter__));
                    (void) PyObject_INIT(o, t);
                    PyObject_GC_Track(o);
                  } else
                  #endif
                  {
                    o = (*t->tp_alloc)(t, 0);
                    if (unlikely(!o)) return 0;
                  }
                  #endif
                  return o;
                }

                static void __pyx_tp_dealloc_8PyClical___pyx_scope_struct____iter__(PyObject *o) {
                  struct __pyx_obj_8PyClical___pyx_scope_struct____iter__ *p = (struct __pyx_obj_8PyClical___pyx_scope_struct____iter__ *)o;
                  #if CYTHON_USE_TP_FINALIZE
                  if (unlikely((PY_VERSION_HEX >= 0x03080000 || __Pyx_PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE)) && __Pyx_PyObject_GetSlot(o, tp_finalize, destructor)) && !__Pyx_PyObject_GC_IsFinalized(o)) {
                    if (__Pyx_PyObject_GetSlot(o, tp_dealloc, destructor) == __pyx_tp_dealloc_8PyClical___pyx_scope_struct____iter__) {
                      if (PyObject_CallFinalizerFromDealloc(o)) return;
                    }
                  }
                  #endif
                  PyObject_GC_UnTrack(o);
                  Py_CLEAR(p->__pyx_v_idx);
                  Py_CLEAR(p->__pyx_v_self);
                  Py_CLEAR(p->__pyx_t_0);
                  #if CYTHON_COMPILING_IN_CPYTHON
                  if (((int)(__pyx_freecount_8PyClical___pyx_scope_struct____iter__ < 8) & (int)(Py_TYPE(o)->tp_basicsize == sizeof(struct __pyx_obj_8PyClical___pyx_scope_struct____iter__)))) {
                    __pyx_freelist_8PyClical___pyx_scope_struct____iter__[__pyx_freecount_8PyClical___pyx_scope_struct____iter__++] = ((struct __pyx_obj_8PyClical___pyx_scope_struct____iter__ *)o);
                  } else
                  #endif
                  {
                    #if CYTHON_USE_TYPE_SLOTS || CYTHON_COMPILING_IN_PYPY
                    (*Py_TYPE(o)->tp_free)(o);
                    #else
                    {
                      freefunc tp_free = (freefunc)PyType_GetSlot(Py_TYPE(o), Py_tp_free);
                      if (tp_free) tp_free(o);
                    }
                    #endif
                  }
                }

                static int __pyx_tp_traverse_8PyClical___pyx_scope_struct____iter__(PyObject *o, visitproc v, void *a) {
                  int e;
                  struct __pyx_obj_8PyClical___pyx_scope_struct____iter__ *p = (struct __pyx_obj_8PyClical___pyx_scope_struct____iter__ *)o;
                  if (p->__pyx_v_idx) {
                    e = (*v)(p->__pyx_v_idx, a); if (e) return e;
                  }
                  if (p->__pyx_v_self) {
                    e = (*v)(((PyObject *)p->__pyx_v_self), a); if (e) return e;
                  }
                  if (p->__pyx_t_0) {
                    e = (*v)(p->__pyx_t_0, a); if (e) return e;
                  }
                  return 0;
                }
                #if CYTHON_USE_TYPE_SPECS
                static PyType_Slot __pyx_type_8PyClical___pyx_scope_struct____iter___slots[] = {
                  {Py_tp_dealloc, (void *)__pyx_tp_dealloc_8PyClical___pyx_scope_struct____iter__},
                  {Py_tp_traverse, (void *)__pyx_tp_traverse_8PyClical___pyx_scope_struct____iter__},
                  {Py_tp_new, (void *)__pyx_tp_new_8PyClical___pyx_scope_struct____iter__},
                  {0, 0},
                };
                static PyType_Spec __pyx_type_8PyClical___pyx_scope_struct____iter___spec = {
                  "PyClical.__pyx_scope_struct____iter__",
                  sizeof(struct __pyx_obj_8PyClical___pyx_scope_struct____iter__),
                  0,
                  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC|Py_TPFLAGS_HAVE_FINALIZE,
                  __pyx_type_8PyClical___pyx_scope_struct____iter___slots,
                };
                #else

                static PyTypeObject __pyx_type_8PyClical___pyx_scope_struct____iter__ = {
                  PyVarObject_HEAD_INIT(0, 0)
                  "PyClical.""__pyx_scope_struct____iter__", /*tp_name*/
                  sizeof(struct __pyx_obj_8PyClical___pyx_scope_struct____iter__), /*tp_basicsize*/
                  0, /*tp_itemsize*/
                  __pyx_tp_dealloc_8PyClical___pyx_scope_struct____iter__, /*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*/
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 *         return pow(self, m)
 * 
 *     def pow(self, m):             # <<<<<<<<<<<<<<
 *         """
 *         Power: self to the m.
 */
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 *             return exp(m * log(self))
 * 
 *     def outer_pow(self, m):             # <<<<<<<<<<<<<<
 *         """
 *         Outer product power.
 */
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 *         return clifford().wrap( self.instance.call(grade) )
 * 
 *     def scalar(self):             # <<<<<<<<<<<<<<
 *         """
 *         Scalar part.
 */
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 *         return self.instance.scalar()
 * 
 *     def pure(self):             # <<<<<<<<<<<<<<
 *         """
 *         Pure part.
 */
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 *         return clifford().wrap( self.instance.pure() )
 * 
 *     def even(self):             # <<<<<<<<<<<<<<
 *         """
 *         Even part of multivector, sum of even grade terms.
 */
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 *         return clifford().wrap( self.instance.even() )
 * 
 *     def odd(self):             # <<<<<<<<<<<<<<
 *         """
 *         Odd part of multivector, sum of odd grade terms.
 */
  __pyx_codeobj__40 = (PyObject*)__Pyx_PyCode_New(1, 0, 0, 1, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__10, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_PyClical_pyx, __pyx_n_s_odd, 1133, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__40)) __PYX_ERR(0, 1133, __pyx_L1_error)

  /* "PyClical.pyx":1142
 *         return clifford().wrap( self.instance.odd() )
 * 
 *     def vector_part(self, frm = None):             # <<<<<<<<<<<<<<
 *         """
 *         Vector part of multivector, as a Python list, with respect to frm.
 */
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  /* "PyClical.pyx":1170
 *                                               + str(err))
 * 
 *     def involute(self):             # <<<<<<<<<<<<<<
 *         """
 *         Main involution, each {i} is replaced by -{i} in each term,
 */
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 *         return clifford().wrap( self.instance.involute() )
 * 
 *     def reverse(self):             # <<<<<<<<<<<<<<
 *         """
 *         Reversion, eg. clifford("{1}")*clifford("{2}") -> clifford("{2}")*clifford("{1}").
 */
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  /* "PyClical.pyx":1201
 *         return clifford().wrap( self.instance.reverse() )
 * 
 *     def conj(self):             # <<<<<<<<<<<<<<
 *         """
 *         Conjugation, reverse o involute == involute o reverse.
 */
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 *         return clifford().wrap( self.instance.conj() )
 * 
 *     def quad(self):             # <<<<<<<<<<<<<<
 *         """
 *         Quadratic form == (rev(x)*x)(0).
 */
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 *         return self.instance.quad()
 * 
 *     def norm(self):             # <<<<<<<<<<<<<<
 *         """
 *         Norm == sum of squares of coordinates.
 */
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 *         return self.instance.norm()
 * 
 *     def abs(self):             # <<<<<<<<<<<<<<
 *         """
 *         Absolute value: square root of norm.
 */
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 *         return glucat.abs( self.unwrap() )
 * 
 *     def max_abs(self):             # <<<<<<<<<<<<<<
 *         """
 *         Maximum of absolute values of components of multivector: multivector infinity norm.
 */
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 *         return self.instance.max_abs()
 * 
 *     def truncated(self, limit):             # <<<<<<<<<<<<<<
 *         """
 *         Remove all terms of self with relative size smaller than limit.
 */
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 *         return clifford().wrap( self.instance.truncated(limit) )
 * 
 *     def isinf(self):             # <<<<<<<<<<<<<<
 *         """
 *         Check if a multivector contains any infinite values.
 */
  __pyx_codeobj__53 = (PyObject*)__Pyx_PyCode_New(1, 0, 0, 1, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__10, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_PyClical_pyx, __pyx_n_s_isinf, 1269, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__53)) __PYX_ERR(0, 1269, __pyx_L1_error)

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 *         return self.instance.isnan()
 * 
 *     def isnan(self):             # <<<<<<<<<<<<<<
 *         """
 *         Check if a multivector contains any IEEE NaN values.
 */
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 *         return self.instance.isnan()
 * 
 *     def frame(self):             # <<<<<<<<<<<<<<
 *         """
 *         Subalgebra generated by all generators of terms of given multivector.
 */
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 * def __reduce_cython__(self):             # <<<<<<<<<<<<<<
 *     raise TypeError, "no default __reduce__ due to non-trivial __cinit__"
 * def __setstate_cython__(self, __pyx_state):
 */
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 * def __reduce_cython__(self):
 *     raise TypeError, "no default __reduce__ due to non-trivial __cinit__"
 * def __setstate_cython__(self, __pyx_state):             # <<<<<<<<<<<<<<
 *     raise TypeError, "no default __reduce__ due to non-trivial __cinit__"
 */
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  /* "PyClical.pyx":1316
 *         return clifford_to_str( self.unwrap() ).decode()
 * 
 * def clifford_hidden_doctests():             # <<<<<<<<<<<<<<
 *     """
 *     Tests for functions that Doctest cannot see.
 */
  __pyx_codeobj__58 = (PyObject*)__Pyx_PyCode_New(0, 0, 0, 0, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_PyClical_pyx, __pyx_n_s_clifford_hidden_doctests, 1316, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__58)) __PYX_ERR(0, 1316, __pyx_L1_error)

  /* "PyClical.pyx":1400
 *     return
 * 
 * cpdef inline error_squared_tol(obj):             # <<<<<<<<<<<<<<
 *     """
 *     Quadratic norm error tolerance relative to a specific multivector.
 */
  __pyx_codeobj__59 = (PyObject*)__Pyx_PyCode_New(1, 0, 0, 1, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__27, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_PyClical_pyx, __pyx_n_s_error_squared_tol, 1400, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__59)) __PYX_ERR(0, 1400, __pyx_L1_error)

  /* "PyClical.pyx":1409
 *     return glucat.error_squared_tol(toClifford(obj))
 * 
 * cpdef inline error_squared(lhs, rhs, threshold):             # <<<<<<<<<<<<<<
 *     """
 *     Relative or absolute error using the quadratic norm.
 */
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  /* "PyClical.pyx":1422
 *     return glucat.error_squared(toClifford(lhs), toClifford(rhs), <scalar_t>threshold)
 * 
 * cpdef inline approx_equal(lhs, rhs, threshold=None, tol=None):             # <<<<<<<<<<<<<<
 *     """
 *     Test for approximate equality of multivectors.
 */
  __pyx_tuple__62 = PyTuple_Pack(4, __pyx_n_s_lhs, __pyx_n_s_rhs, __pyx_n_s_threshold, __pyx_n_s_tol); if (unlikely(!__pyx_tuple__62)) __PYX_ERR(0, 1422, __pyx_L1_error)
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  __pyx_tuple__64 = PyTuple_Pack(2, Py_None, Py_None); if (unlikely(!__pyx_tuple__64)) __PYX_ERR(0, 1422, __pyx_L1_error)
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  /* "PyClical.pyx":1441
 *     return glucat.approx_equal(toClifford(lhs), toClifford(rhs), <scalar_t>threshold, <scalar_t>tol)
 * 
 * cpdef inline inv(obj):             # <<<<<<<<<<<<<<
 *     """
 *     Geometric multiplicative inverse.
 */
  __pyx_codeobj__65 = (PyObject*)__Pyx_PyCode_New(1, 0, 0, 1, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__27, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_PyClical_pyx, __pyx_n_s_inv, 1441, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__65)) __PYX_ERR(0, 1441, __pyx_L1_error)

  /* "PyClical.pyx":1456
 *     return clifford(obj).inv()
 * 
 * cpdef inline scalar(obj):             # <<<<<<<<<<<<<<
 *     """
 *     Scalar part.
 */
  __pyx_codeobj__66 = (PyObject*)__Pyx_PyCode_New(1, 0, 0, 1, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__27, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_PyClical_pyx, __pyx_n_s_scalar, 1456, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__66)) __PYX_ERR(0, 1456, __pyx_L1_error)

  /* "PyClical.pyx":1467
 *     return clifford(obj).scalar()
 * 
 * cpdef inline real(obj):             # <<<<<<<<<<<<<<
 *     """
 *     Real part: synonym for scalar part.
 */
  __pyx_codeobj__67 = (PyObject*)__Pyx_PyCode_New(1, 0, 0, 1, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__27, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_PyClical_pyx, __pyx_n_s_real, 1467, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__67)) __PYX_ERR(0, 1467, __pyx_L1_error)

  /* "PyClical.pyx":1478
 *     return clifford(obj).scalar()
 * 
 * cpdef inline imag(obj):             # <<<<<<<<<<<<<<
 *     """
 *     Imaginary part: deprecated (always 0).
 */
  __pyx_codeobj__68 = (PyObject*)__Pyx_PyCode_New(1, 0, 0, 1, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__27, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_PyClical_pyx, __pyx_n_s_imag, 1478, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__68)) __PYX_ERR(0, 1478, __pyx_L1_error)

  /* "PyClical.pyx":1489
 *     return 0.0
 * 
 * cpdef inline pure(obj):             # <<<<<<<<<<<<<<
 *     """
 *     Pure part
 */
  __pyx_codeobj__69 = (PyObject*)__Pyx_PyCode_New(1, 0, 0, 1, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__27, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_PyClical_pyx, __pyx_n_s_pure, 1489, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__69)) __PYX_ERR(0, 1489, __pyx_L1_error)

  /* "PyClical.pyx":1500
 *     return clifford(obj).pure()
 * 
 * cpdef inline even(obj):             # <<<<<<<<<<<<<<
 *     """
 *     Even part of multivector, sum of even grade terms.
 */
  __pyx_codeobj__70 = (PyObject*)__Pyx_PyCode_New(1, 0, 0, 1, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__27, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_PyClical_pyx, __pyx_n_s_even, 1500, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__70)) __PYX_ERR(0, 1500, __pyx_L1_error)

  /* "PyClical.pyx":1509
 *     return clifford(obj).even()
 * 
 * cpdef inline odd(obj):             # <<<<<<<<<<<<<<
 *     """
 *     Odd part of multivector, sum of odd grade terms.
 */
  __pyx_codeobj__71 = (PyObject*)__Pyx_PyCode_New(1, 0, 0, 1, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__27, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_PyClical_pyx, __pyx_n_s_odd, 1509, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__71)) __PYX_ERR(0, 1509, __pyx_L1_error)

  /* "PyClical.pyx":1518
 *     return clifford(obj).odd()
 * 
 * cpdef inline involute(obj):             # <<<<<<<<<<<<<<
 *     """
 *     Main involution, each {i} is replaced by -{i} in each term, eg. {1}*{2} -> (-{2})*(-{1})
 */
  __pyx_codeobj__72 = (PyObject*)__Pyx_PyCode_New(1, 0, 0, 1, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__27, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_PyClical_pyx, __pyx_n_s_involute, 1518, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__72)) __PYX_ERR(0, 1518, __pyx_L1_error)

  /* "PyClical.pyx":1533
 *     return clifford(obj).involute()
 * 
 * cpdef inline reverse(obj):             # <<<<<<<<<<<<<<
 *     """
 *     Reversion, eg. {1}*{2} -> {2}*{1}
 */
  __pyx_codeobj__73 = (PyObject*)__Pyx_PyCode_New(1, 0, 0, 1, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__27, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_PyClical_pyx, __pyx_n_s_reverse, 1533, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__73)) __PYX_ERR(0, 1533, __pyx_L1_error)

  /* "PyClical.pyx":1548
 *     return clifford(obj).reverse()
 * 
 * cpdef inline conj(obj):             # <<<<<<<<<<<<<<
 *     """
 *     Conjugation, reverse o involute == involute o reverse.
 */
  __pyx_codeobj__74 = (PyObject*)__Pyx_PyCode_New(1, 0, 0, 1, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__27, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_PyClical_pyx, __pyx_n_s_conj, 1548, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__74)) __PYX_ERR(0, 1548, __pyx_L1_error)

  /* "PyClical.pyx":1563
 *     return clifford(obj).conj()
 * 
 * cpdef inline quad(obj):             # <<<<<<<<<<<<<<
 *     """
 *     Quadratic form == (rev(x)*x)(0).
 */
  __pyx_codeobj__75 = (PyObject*)__Pyx_PyCode_New(1, 0, 0, 1, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__27, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_PyClical_pyx, __pyx_n_s_quad, 1563, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__75)) __PYX_ERR(0, 1563, __pyx_L1_error)

  /* "PyClical.pyx":1574
 *     return clifford(obj).quad()
 * 
 * cpdef inline norm(obj):             # <<<<<<<<<<<<<<
 *     """
 *     norm == sum of squares of coordinates.
 */
  __pyx_codeobj__76 = (PyObject*)__Pyx_PyCode_New(1, 0, 0, 1, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__27, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_PyClical_pyx, __pyx_n_s_norm, 1574, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__76)) __PYX_ERR(0, 1574, __pyx_L1_error)

  /* "PyClical.pyx":1585
 *     return clifford(obj).norm()
 * 
 * cpdef inline abs(obj):             # <<<<<<<<<<<<<<
 *     """
 *     Absolute value of multivector: multivector 2-norm.
 */
  __pyx_codeobj__77 = (PyObject*)__Pyx_PyCode_New(1, 0, 0, 1, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__27, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_PyClical_pyx, __pyx_n_s_abs, 1585, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__77)) __PYX_ERR(0, 1585, __pyx_L1_error)

  /* "PyClical.pyx":1594
 *     return glucat.abs(toClifford(obj))
 * 
 * cpdef inline max_abs(obj):             # <<<<<<<<<<<<<<
 *     """
 *     Maximum absolute value of coordinates multivector: multivector infinity-norm.
 */
  __pyx_codeobj__78 = (PyObject*)__Pyx_PyCode_New(1, 0, 0, 1, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__27, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_PyClical_pyx, __pyx_n_s_max_abs, 1594, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__78)) __PYX_ERR(0, 1594, __pyx_L1_error)

  /* "PyClical.pyx":1606
 *     return glucat.max_abs(toClifford(obj))
 * 
 * cpdef inline pow(obj, m):             # <<<<<<<<<<<<<<
 *     """
 *     Integer power of multivector: obj to the m.
 */
  __pyx_tuple__79 = PyTuple_Pack(2, __pyx_n_s_obj, __pyx_n_s_m); if (unlikely(!__pyx_tuple__79)) __PYX_ERR(0, 1606, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__79);
  __Pyx_GIVEREF(__pyx_tuple__79);
  __pyx_codeobj__80 = (PyObject*)__Pyx_PyCode_New(2, 0, 0, 2, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__79, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_PyClical_pyx, __pyx_n_s_pow, 1606, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__80)) __PYX_ERR(0, 1606, __pyx_L1_error)

  /* "PyClical.pyx":1630
 *         return clifford(obj).pow(m)
 * 
 * cpdef inline outer_pow(obj, m):             # <<<<<<<<<<<<<<
 *     """
 *     Outer product power of multivector.
 */
  __pyx_codeobj__81 = (PyObject*)__Pyx_PyCode_New(2, 0, 0, 2, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__79, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_PyClical_pyx, __pyx_n_s_outer_pow, 1630, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__81)) __PYX_ERR(0, 1630, __pyx_L1_error)

  /* "PyClical.pyx":1639
 *     return clifford(obj).outer_pow(m)
 * 
 * cpdef inline complexifier(obj):             # <<<<<<<<<<<<<<
 *     """
 *     Square root of -1 which commutes with all members of the frame of the given multivector.
 */
  __pyx_codeobj__82 = (PyObject*)__Pyx_PyCode_New(1, 0, 0, 1, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__27, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_PyClical_pyx, __pyx_n_s_complexifier, 1639, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__82)) __PYX_ERR(0, 1639, __pyx_L1_error)

  /* "PyClical.pyx":1654
 *     return clifford().wrap( glucat.complexifier(toClifford(obj)) )
 * 
 * cpdef inline sqrt(obj, i = None):             # <<<<<<<<<<<<<<
 *     """
 *     Square root of multivector with optional complexifier.
 */
  __pyx_tuple__83 = PyTuple_Pack(2, __pyx_n_s_obj, __pyx_n_s_i); if (unlikely(!__pyx_tuple__83)) __PYX_ERR(0, 1654, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__83);
  __Pyx_GIVEREF(__pyx_tuple__83);
  __pyx_codeobj__84 = (PyObject*)__Pyx_PyCode_New(2, 0, 0, 2, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__83, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_PyClical_pyx, __pyx_n_s_sqrt, 1654, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__84)) __PYX_ERR(0, 1654, __pyx_L1_error)

  /* "PyClical.pyx":1677
 *             return clifford().wrap( glucat.sqrt(toClifford(obj)) )
 * 
 * cpdef inline exp(obj):             # <<<<<<<<<<<<<<
 *     """
 *     Exponential of multivector.
 */
  __pyx_codeobj__85 = (PyObject*)__Pyx_PyCode_New(1, 0, 0, 1, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__27, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_PyClical_pyx, __pyx_n_s_exp, 1677, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__85)) __PYX_ERR(0, 1677, __pyx_L1_error)

  /* "PyClical.pyx":1691
 *         return clifford().wrap( glucat.exp(toClifford(obj)) )
 * 
 * cpdef inline log(obj,i = None):             # <<<<<<<<<<<<<<
 *     """
 *     Natural logarithm of multivector with optional complexifier.
 */
  __pyx_codeobj__86 = (PyObject*)__Pyx_PyCode_New(2, 0, 0, 2, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__83, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_PyClical_pyx, __pyx_n_s_log, 1691, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__86)) __PYX_ERR(0, 1691, __pyx_L1_error)

  /* "PyClical.pyx":1714
 *             return clifford().wrap( glucat.log(toClifford(obj)) )
 * 
 * cpdef inline cos(obj,i = None):             # <<<<<<<<<<<<<<
 *     """
 *     Cosine of multivector with optional complexifier.
 */
  __pyx_codeobj__87 = (PyObject*)__Pyx_PyCode_New(2, 0, 0, 2, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__83, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_PyClical_pyx, __pyx_n_s_cos, 1714, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__87)) __PYX_ERR(0, 1714, __pyx_L1_error)

  /* "PyClical.pyx":1731
 *             return clifford().wrap( glucat.cos(toClifford(obj)) )
 * 
 * cpdef inline acos(obj,i = None):             # <<<<<<<<<<<<<<
 *     """
 *     Inverse cosine of multivector with optional complexifier.
 */
  __pyx_codeobj__88 = (PyObject*)__Pyx_PyCode_New(2, 0, 0, 2, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__83, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_PyClical_pyx, __pyx_n_s_acos, 1731, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__88)) __PYX_ERR(0, 1731, __pyx_L1_error)

  /* "PyClical.pyx":1752
 *             return clifford().wrap( glucat.acos(toClifford(obj)) )
 * 
 * cpdef inline cosh(obj):             # <<<<<<<<<<<<<<
 *     """
 *     Hyperbolic cosine of multivector.
 */
  __pyx_codeobj__89 = (PyObject*)__Pyx_PyCode_New(1, 0, 0, 1, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__27, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_PyClical_pyx, __pyx_n_s_cosh, 1752, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__89)) __PYX_ERR(0, 1752, __pyx_L1_error)

  /* "PyClical.pyx":1768
 *         return clifford().wrap( glucat.cosh(toClifford(obj)) )
 * 
 * cpdef inline acosh(obj,i = None):             # <<<<<<<<<<<<<<
 *     """
 *     Inverse hyperbolic cosine of multivector with optional complexifier.
 */
  __pyx_codeobj__90 = (PyObject*)__Pyx_PyCode_New(2, 0, 0, 2, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__83, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_PyClical_pyx, __pyx_n_s_acosh, 1768, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__90)) __PYX_ERR(0, 1768, __pyx_L1_error)

  /* "PyClical.pyx":1791
 *             return clifford().wrap( glucat.acosh(toClifford(obj)) )
 * 
 * cpdef inline sin(obj,i = None):             # <<<<<<<<<<<<<<
 *     """
 *     Sine of multivector with optional complexifier.
 */
  __pyx_codeobj__91 = (PyObject*)__Pyx_PyCode_New(2, 0, 0, 2, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__83, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_PyClical_pyx, __pyx_n_s_sin, 1791, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__91)) __PYX_ERR(0, 1791, __pyx_L1_error)

  /* "PyClical.pyx":1810
 *             return clifford().wrap( glucat.sin(toClifford(obj)) )
 * 
 * cpdef inline asin(obj,i = None):             # <<<<<<<<<<<<<<
 *     """
 *     Inverse sine of multivector with optional complexifier.
 */
  __pyx_codeobj__92 = (PyObject*)__Pyx_PyCode_New(2, 0, 0, 2, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__83, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_PyClical_pyx, __pyx_n_s_asin, 1810, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__92)) __PYX_ERR(0, 1810, __pyx_L1_error)

  /* "PyClical.pyx":1831
 *             return clifford().wrap( glucat.asin(toClifford(obj)) )
 * 
 * cpdef inline sinh(obj):             # <<<<<<<<<<<<<<
 *     """
 *     Hyperbolic sine of multivector.
 */
  __pyx_codeobj__93 = (PyObject*)__Pyx_PyCode_New(1, 0, 0, 1, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__27, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_PyClical_pyx, __pyx_n_s_sinh, 1831, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__93)) __PYX_ERR(0, 1831, __pyx_L1_error)

  /* "PyClical.pyx":1845
 *         return clifford().wrap( glucat.sinh(toClifford(obj)) )
 * 
 * cpdef inline asinh(obj,i = None):             # <<<<<<<<<<<<<<
 *     """
 *     Inverse hyperbolic sine of multivector with optional complexifier.
 */
  __pyx_codeobj__94 = (PyObject*)__Pyx_PyCode_New(2, 0, 0, 2, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__83, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_PyClical_pyx, __pyx_n_s_asinh, 1845, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__94)) __PYX_ERR(0, 1845, __pyx_L1_error)

  /* "PyClical.pyx":1864
 *             return clifford().wrap( glucat.asinh(toClifford(obj)) )
 * 
 * cpdef inline tan(obj,i = None):             # <<<<<<<<<<<<<<
 *     """
 *     Tangent of multivector with optional complexifier.
 */
  __pyx_codeobj__95 = (PyObject*)__Pyx_PyCode_New(2, 0, 0, 2, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__83, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_PyClical_pyx, __pyx_n_s_tan, 1864, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__95)) __PYX_ERR(0, 1864, __pyx_L1_error)

  /* "PyClical.pyx":1881
 *             return clifford().wrap( glucat.tan(toClifford(obj)) )
 * 
 * cpdef inline atan(obj,i = None):             # <<<<<<<<<<<<<<
 *     """
 *     Inverse tangent of multivector with optional complexifier.
 */
  __pyx_codeobj__96 = (PyObject*)__Pyx_PyCode_New(2, 0, 0, 2, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__83, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_PyClical_pyx, __pyx_n_s_atan, 1881, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__96)) __PYX_ERR(0, 1881, __pyx_L1_error)

  /* "PyClical.pyx":1898
 *             return clifford().wrap( glucat.atan(toClifford(obj)) )
 * 
 * cpdef inline tanh(obj):             # <<<<<<<<<<<<<<
 *     """
 *     Hyperbolic tangent of multivector.
 */
  __pyx_codeobj__97 = (PyObject*)__Pyx_PyCode_New(1, 0, 0, 1, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__27, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_PyClical_pyx, __pyx_n_s_tanh, 1898, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__97)) __PYX_ERR(0, 1898, __pyx_L1_error)

  /* "PyClical.pyx":1910
 *         return clifford().wrap( glucat.tanh(toClifford(obj)) )
 * 
 * cpdef inline atanh(obj,i = None):             # <<<<<<<<<<<<<<
 *     """
 *     Inverse hyperbolic tangent of multivector with optional complexifier.
 */
  __pyx_codeobj__98 = (PyObject*)__Pyx_PyCode_New(2, 0, 0, 2, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__83, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_PyClical_pyx, __pyx_n_s_atanh, 1910, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__98)) __PYX_ERR(0, 1910, __pyx_L1_error)

  /* "PyClical.pyx":1927
 *             return clifford().wrap( glucat.atanh(toClifford(obj)) )
 * 
 * cpdef inline random_clifford(index_set ixt, fill = 1.0):             # <<<<<<<<<<<<<<
 *     """
 *     Random multivector within a frame.
 */
  __pyx_tuple__99 = PyTuple_Pack(2, __pyx_n_s_ixt, __pyx_n_s_fill); if (unlikely(!__pyx_tuple__99)) __PYX_ERR(0, 1927, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__99);
  __Pyx_GIVEREF(__pyx_tuple__99);
  __pyx_codeobj__100 = (PyObject*)__Pyx_PyCode_New(2, 0, 0, 2, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__99, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_PyClical_pyx, __pyx_n_s_random_clifford, 1927, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__100)) __PYX_ERR(0, 1927, __pyx_L1_error)
  __pyx_tuple__101 = PyTuple_Pack(1, __pyx_float_1_0); if (unlikely(!__pyx_tuple__101)) __PYX_ERR(0, 1927, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__101);
  __Pyx_GIVEREF(__pyx_tuple__101);

  /* "PyClical.pyx":1936
 *     return clifford().wrap( clifford().instance.random(ixt.unwrap(), <scalar_t>fill) )
 * 
 * cpdef inline cga3(obj):             # <<<<<<<<<<<<<<
 *     """
 *     Convert Euclidean 3D multivector to Conformal Geometric Algebra using Doran and Lasenby definition.
 */
  __pyx_codeobj__102 = (PyObject*)__Pyx_PyCode_New(1, 0, 0, 1, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__27, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_PyClical_pyx, __pyx_n_s_cga3, 1936, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__102)) __PYX_ERR(0, 1936, __pyx_L1_error)

  /* "PyClical.pyx":1945
 *     return clifford().wrap( glucat.cga3(toClifford(obj)) )
 * 
 * cpdef inline cga3std(obj):             # <<<<<<<<<<<<<<
 *     """
 *     Convert CGA3 null vector to standard conformal null vector using Doran and Lasenby definition.
 */
  __pyx_codeobj__103 = (PyObject*)__Pyx_PyCode_New(1, 0, 0, 1, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__27, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_PyClical_pyx, __pyx_n_s_cga3std, 1945, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__103)) __PYX_ERR(0, 1945, __pyx_L1_error)

  /* "PyClical.pyx":1956
 *     return clifford().wrap( glucat.cga3std(toClifford(obj)) )
 * 
 * cpdef inline agc3(obj):             # <<<<<<<<<<<<<<
 *     """
 *     Convert CGA3 null vector to Euclidean 3D vector using Doran and Lasenby definition.
 */
  __pyx_codeobj__104 = (PyObject*)__Pyx_PyCode_New(1, 0, 0, 1, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__27, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_PyClical_pyx, __pyx_n_s_agc3, 1956, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__104)) __PYX_ERR(0, 1956, __pyx_L1_error)

  /* "PyClical.pyx":1970
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#if CYTHON_COMPILING_IN_CPYTHON && CYTHON_USE_TYPE_SLOTS && PY_VERSION_HEX >= 0x030700B1
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    if (likely(tp->tp_getattro == PyObject_GenericGetAttr)) {
        return _PyObject_GenericGetAttrWithDict(obj, attr_name, NULL, 1);
    }
#endif
    result = __Pyx_PyObject_GetAttrStr(obj, attr_name);
    if (unlikely(!result)) {
        __Pyx_PyObject_GetAttrStr_ClearAttributeError();
    }
    return result;
#endif
}

/* GetBuiltinName */
static PyObject *__Pyx_GetBuiltinName(PyObject *name) {
    PyObject* result = __Pyx_PyObject_GetAttrStrNoError(__pyx_b, name);
    if (unlikely(!result) && !PyErr_Occurred()) {
        PyErr_Format(PyExc_NameError,
#if PY_MAJOR_VERSION >= 3
            "name '%U' is not defined", name);
#else
            "name '%.200s' is not defined", PyString_AS_STRING(name));
#endif
    }
    return result;
}

/* PyFunctionFastCall */
#if CYTHON_FAST_PYCALL && !CYTHON_VECTORCALL
static PyObject* __Pyx_PyFunction_FastCallNoKw(PyCodeObject *co, PyObject **args, Py_ssize_t na,
                                               PyObject *globals) {
    PyFrameObject *f;
    PyThreadState *tstate = __Pyx_PyThreadState_Current;
    PyObject **fastlocals;
    Py_ssize_t i;
    PyObject *result;
    assert(globals != NULL);
    /* XXX Perhaps we should create a specialized
       PyFrame_New() that doesn't take locals, but does
       take builtins without sanity checking them.
       */
    assert(tstate != NULL);
    f = PyFrame_New(tstate, co, globals, NULL);
    if (f == NULL) {
        return NULL;
    }
    fastlocals = __Pyx_PyFrame_GetLocalsplus(f);
    for (i = 0; i < na; i++) {
        Py_INCREF(*args);
        fastlocals[i] = *args++;
    }
    result = PyEval_EvalFrameEx(f,0);
    ++tstate->recursion_depth;
    Py_DECREF(f);
    --tstate->recursion_depth;
    return result;
}
static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, Py_ssize_t nargs, PyObject *kwargs) {
    PyCodeObject *co = (PyCodeObject *)PyFunction_GET_CODE(func);
    PyObject *globals = PyFunction_GET_GLOBALS(func);
    PyObject *argdefs = PyFunction_GET_DEFAULTS(func);
    PyObject *closure;
#if PY_MAJOR_VERSION >= 3
    PyObject *kwdefs;
#endif
    PyObject *kwtuple, **k;
    PyObject **d;
    Py_ssize_t nd;
    Py_ssize_t nk;
    PyObject *result;
    assert(kwargs == NULL || PyDict_Check(kwargs));
    nk = kwargs ? PyDict_Size(kwargs) : 0;
    #if PY_MAJOR_VERSION < 3
    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object"))) {
        return NULL;
    }
    #else
    if (unlikely(Py_EnterRecursiveCall(" while calling a Python object"))) {
        return NULL;
    }
    #endif
    if (
#if PY_MAJOR_VERSION >= 3
            co->co_kwonlyargcount == 0 &&
#endif
            likely(kwargs == NULL || nk == 0) &&
            co->co_flags == (CO_OPTIMIZED | CO_NEWLOCALS | CO_NOFREE)) {
        if (argdefs == NULL && co->co_argcount == nargs) {
            result = __Pyx_PyFunction_FastCallNoKw(co, args, nargs, globals);
            goto done;
        }
        else if (nargs == 0 && argdefs != NULL
                 && co->co_argcount == Py_SIZE(argdefs)) {
            /* function called with no arguments, but all parameters have
               a default value: use default values as arguments .*/
            args = &PyTuple_GET_ITEM(argdefs, 0);
            result =__Pyx_PyFunction_FastCallNoKw(co, args, Py_SIZE(argdefs), globals);
            goto done;
        }
    }
    if (kwargs != NULL) {
        Py_ssize_t pos, i;
        kwtuple = PyTuple_New(2 * nk);
        if (kwtuple == NULL) {
            result = NULL;
            goto done;
        }
        k = &PyTuple_GET_ITEM(kwtuple, 0);
        pos = i = 0;
        while (PyDict_Next(kwargs, &pos, &k[i], &k[i+1])) {
            Py_INCREF(k[i]);
            Py_INCREF(k[i+1]);
            i += 2;
        }
        nk = i / 2;
    }
    else {
        kwtuple = NULL;
        k = NULL;
    }
    closure = PyFunction_GET_CLOSURE(func);
#if PY_MAJOR_VERSION >= 3
    kwdefs = PyFunction_GET_KW_DEFAULTS(func);
#endif
    if (argdefs != NULL) {
        d = &PyTuple_GET_ITEM(argdefs, 0);
        nd = Py_SIZE(argdefs);
    }
    else {
        d = NULL;
        nd = 0;
    }
#if PY_MAJOR_VERSION >= 3
    result = PyEval_EvalCodeEx((PyObject*)co, globals, (PyObject *)NULL,
                               args, (int)nargs,
                               k, (int)nk,
                               d, (int)nd, kwdefs, closure);
#else
    result = PyEval_EvalCodeEx(co, globals, (PyObject *)NULL,
                               args, (int)nargs,
                               k, (int)nk,
                               d, (int)nd, closure);
#endif
    Py_XDECREF(kwtuple);
done:
    Py_LeaveRecursiveCall();
    return result;
}
#endif

/* PyObjectCall */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    PyObject *result;
    ternaryfunc call = Py_TYPE(func)->tp_call;
    if (unlikely(!call))
        return PyObject_Call(func, arg, kw);
    #if PY_MAJOR_VERSION < 3
    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
        return NULL;
    #else
    if (unlikely(Py_EnterRecursiveCall(" while calling a Python object")))
        return NULL;
    #endif
    result = (*call)(func, arg, kw);
    Py_LeaveRecursiveCall();
    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
        PyErr_SetString(
            PyExc_SystemError,
            "NULL result without error in PyObject_Call");
    }
    return result;
}
#endif

/* PyObjectCallMethO */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg) {
    PyObject *self, *result;
    PyCFunction cfunc;
    cfunc = __Pyx_CyOrPyCFunction_GET_FUNCTION(func);
    self = __Pyx_CyOrPyCFunction_GET_SELF(func);
    #if PY_MAJOR_VERSION < 3
    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
        return NULL;
    #else
    if (unlikely(Py_EnterRecursiveCall(" while calling a Python object")))
        return NULL;
    #endif
    result = cfunc(self, arg);
    Py_LeaveRecursiveCall();
    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
        PyErr_SetString(
            PyExc_SystemError,
            "NULL result without error in PyObject_Call");
    }
    return result;
}
#endif

/* PyObjectFastCall */
#if PY_VERSION_HEX < 0x03090000 || CYTHON_COMPILING_IN_LIMITED_API
static PyObject* __Pyx_PyObject_FastCall_fallback(PyObject *func, PyObject **args, size_t nargs, PyObject *kwargs) {
    PyObject *argstuple;
    PyObject *result = 0;
    size_t i;
    argstuple = PyTuple_New((Py_ssize_t)nargs);
    if (unlikely(!argstuple)) return NULL;
    for (i = 0; i < nargs; i++) {
        Py_INCREF(args[i]);
        if (__Pyx_PyTuple_SET_ITEM(argstuple, (Py_ssize_t)i, args[i]) < 0) goto bad;
    }
    result = __Pyx_PyObject_Call(func, argstuple, kwargs);
  bad:
    Py_DECREF(argstuple);
    return result;
}
#endif
static CYTHON_INLINE PyObject* __Pyx_PyObject_FastCallDict(PyObject *func, PyObject **args, size_t _nargs, PyObject *kwargs) {
    Py_ssize_t nargs = __Pyx_PyVectorcall_NARGS(_nargs);
#if CYTHON_COMPILING_IN_CPYTHON
    if (nargs == 0 && kwargs == NULL) {
        if (__Pyx_CyOrPyCFunction_Check(func) && likely( __Pyx_CyOrPyCFunction_GET_FLAGS(func) & METH_NOARGS))
            return __Pyx_PyObject_CallMethO(func, NULL);
    }
    else if (nargs == 1 && kwargs == NULL) {
        if (__Pyx_CyOrPyCFunction_Check(func) && likely( __Pyx_CyOrPyCFunction_GET_FLAGS(func) & METH_O))
            return __Pyx_PyObject_CallMethO(func, args[0]);
    }
#endif
    #if PY_VERSION_HEX < 0x030800B1
    #if CYTHON_FAST_PYCCALL
    if (PyCFunction_Check(func)) {
        if (kwargs) {
            return _PyCFunction_FastCallDict(func, args, nargs, kwargs);
        } else {
            return _PyCFunction_FastCallKeywords(func, args, nargs, NULL);
        }
    }
    #if PY_VERSION_HEX >= 0x030700A1
    if (!kwargs && __Pyx_IS_TYPE(func, &PyMethodDescr_Type)) {
        return _PyMethodDescr_FastCallKeywords(func, args, nargs, NULL);
    }
    #endif
    #endif
    #if CYTHON_FAST_PYCALL
    if (PyFunction_Check(func)) {
        return __Pyx_PyFunction_FastCallDict(func, args, nargs, kwargs);
    }
    #endif
    #endif
    if (kwargs == NULL) {
        #if CYTHON_VECTORCALL
        #if PY_VERSION_HEX < 0x03090000
        vectorcallfunc f = _PyVectorcall_Function(func);
        #else
        vectorcallfunc f = PyVectorcall_Function(func);
        #endif
        if (f) {
            return f(func, args, (size_t)nargs, NULL);
        }
        #elif defined(__Pyx_CyFunction_USED) && CYTHON_BACKPORT_VECTORCALL
        if (__Pyx_CyFunction_CheckExact(func)) {
            __pyx_vectorcallfunc f = __Pyx_CyFunction_func_vectorcall(func);
            if (f) return f(func, args, (size_t)nargs, NULL);
        }
        #endif
    }
    if (nargs == 0) {
        return __Pyx_PyObject_Call(func, __pyx_empty_tuple, kwargs);
    }
    #if PY_VERSION_HEX >= 0x03090000 && !CYTHON_COMPILING_IN_LIMITED_API
    return PyObject_VectorcallDict(func, args, (size_t)nargs, kwargs);
    #else
    return __Pyx_PyObject_FastCall_fallback(func, args, (size_t)nargs, kwargs);
    #endif
}

/* 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);
}

/* 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

/* TupleAndListFromArray */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE void __Pyx_copy_object_array(PyObject *const *CYTHON_RESTRICT src, PyObject** CYTHON_RESTRICT dest, Py_ssize_t length) {
    PyObject *v;
    Py_ssize_t i;
    for (i = 0; i < length; i++) {
        v = dest[i] = src[i];
        Py_INCREF(v);
    }
}
static CYTHON_INLINE PyObject *
__Pyx_PyTuple_FromArray(PyObject *const *src, Py_ssize_t n)
{
    PyObject *res;
    if (n <= 0) {
        Py_INCREF(__pyx_empty_tuple);
        return __pyx_empty_tuple;
    }
    res = PyTuple_New(n);
    if (unlikely(res == NULL)) return NULL;
    __Pyx_copy_object_array(src, ((PyTupleObject*)res)->ob_item, n);
    return res;
}
static CYTHON_INLINE PyObject *
__Pyx_PyList_FromArray(PyObject *const *src, Py_ssize_t n)
{
    PyObject *res;
    if (n <= 0) {
        return PyList_New(0);
    }
    res = PyList_New(n);
    if (unlikely(res == NULL)) return NULL;
    __Pyx_copy_object_array(src, ((PyListObject*)res)->ob_item, n);
    return res;
}
#endif

/* BytesEquals */
static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals) {
#if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API
    return PyObject_RichCompareBool(s1, s2, equals);
#else
    if (s1 == s2) {
        return (equals == Py_EQ);
    } else if (PyBytes_CheckExact(s1) & PyBytes_CheckExact(s2)) {
        const char *ps1, *ps2;
        Py_ssize_t length = PyBytes_GET_SIZE(s1);
        if (length != PyBytes_GET_SIZE(s2))
            return (equals == Py_NE);
        ps1 = PyBytes_AS_STRING(s1);
        ps2 = PyBytes_AS_STRING(s2);
        if (ps1[0] != ps2[0]) {
            return (equals == Py_NE);
        } else if (length == 1) {
            return (equals == Py_EQ);
        } else {
            int result;
#if CYTHON_USE_UNICODE_INTERNALS && (PY_VERSION_HEX < 0x030B0000)
            Py_hash_t hash1, hash2;
            hash1 = ((PyBytesObject*)s1)->ob_shash;
            hash2 = ((PyBytesObject*)s2)->ob_shash;
            if (hash1 != hash2 && hash1 != -1 && hash2 != -1) {
                return (equals == Py_NE);
            }
#endif
            result = memcmp(ps1, ps2, (size_t)length);
            return (equals == Py_EQ) ? (result == 0) : (result != 0);
        }
    } else if ((s1 == Py_None) & PyBytes_CheckExact(s2)) {
        return (equals == Py_NE);
    } else if ((s2 == Py_None) & PyBytes_CheckExact(s1)) {
        return (equals == Py_NE);
    } else {
        int result;
        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
        if (!py_result)
            return -1;
        result = __Pyx_PyObject_IsTrue(py_result);
        Py_DECREF(py_result);
        return result;
    }
#endif
}

/* UnicodeEquals */
static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals) {
#if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API
    return PyObject_RichCompareBool(s1, s2, equals);
#else
#if PY_MAJOR_VERSION < 3
    PyObject* owned_ref = NULL;
#endif
    int s1_is_unicode, s2_is_unicode;
    if (s1 == s2) {
        goto return_eq;
    }
    s1_is_unicode = PyUnicode_CheckExact(s1);
    s2_is_unicode = PyUnicode_CheckExact(s2);
#if PY_MAJOR_VERSION < 3
    if ((s1_is_unicode & (!s2_is_unicode)) && PyString_CheckExact(s2)) {
        owned_ref = PyUnicode_FromObject(s2);
        if (unlikely(!owned_ref))
            return -1;
        s2 = owned_ref;
        s2_is_unicode = 1;
    } else if ((s2_is_unicode & (!s1_is_unicode)) && PyString_CheckExact(s1)) {
        owned_ref = PyUnicode_FromObject(s1);
        if (unlikely(!owned_ref))
            return -1;
        s1 = owned_ref;
        s1_is_unicode = 1;
    } else if (((!s2_is_unicode) & (!s1_is_unicode))) {
        return __Pyx_PyBytes_Equals(s1, s2, equals);
    }
#endif
    if (s1_is_unicode & s2_is_unicode) {
        Py_ssize_t length;
        int kind;
        void *data1, *data2;
        if (unlikely(__Pyx_PyUnicode_READY(s1) < 0) || unlikely(__Pyx_PyUnicode_READY(s2) < 0))
            return -1;
        length = __Pyx_PyUnicode_GET_LENGTH(s1);
        if (length != __Pyx_PyUnicode_GET_LENGTH(s2)) {
            goto return_ne;
        }
#if CYTHON_USE_UNICODE_INTERNALS
        {
            Py_hash_t hash1, hash2;
        #if CYTHON_PEP393_ENABLED
            hash1 = ((PyASCIIObject*)s1)->hash;
            hash2 = ((PyASCIIObject*)s2)->hash;
        #else
            hash1 = ((PyUnicodeObject*)s1)->hash;
            hash2 = ((PyUnicodeObject*)s2)->hash;
        #endif
            if (hash1 != hash2 && hash1 != -1 && hash2 != -1) {
                goto return_ne;
            }
        }
#endif
        kind = __Pyx_PyUnicode_KIND(s1);
        if (kind != __Pyx_PyUnicode_KIND(s2)) {
            goto return_ne;
        }
        data1 = __Pyx_PyUnicode_DATA(s1);
        data2 = __Pyx_PyUnicode_DATA(s2);
        if (__Pyx_PyUnicode_READ(kind, data1, 0) != __Pyx_PyUnicode_READ(kind, data2, 0)) {
            goto return_ne;
        } else if (length == 1) {
            goto return_eq;
        } else {
            int result = memcmp(data1, data2, (size_t)(length * kind));
            #if PY_MAJOR_VERSION < 3
            Py_XDECREF(owned_ref);
            #endif
            return (equals == Py_EQ) ? (result == 0) : (result != 0);
        }
    } else if ((s1 == Py_None) & s2_is_unicode) {
        goto return_ne;
    } else if ((s2 == Py_None) & s1_is_unicode) {
        goto return_ne;
    } else {
        int result;
        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
        #if PY_MAJOR_VERSION < 3
        Py_XDECREF(owned_ref);
        #endif
        if (!py_result)
            return -1;
        result = __Pyx_PyObject_IsTrue(py_result);
        Py_DECREF(py_result);
        return result;
    }
return_eq:
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(owned_ref);
    #endif
    return (equals == Py_EQ);
return_ne:
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(owned_ref);
    #endif
    return (equals == Py_NE);
#endif
}

/* fastcall */
#if CYTHON_METH_FASTCALL
static CYTHON_INLINE PyObject * __Pyx_GetKwValue_FASTCALL(PyObject *kwnames, PyObject *const *kwvalues, PyObject *s)
{
    Py_ssize_t i, n = PyTuple_GET_SIZE(kwnames);
    for (i = 0; i < n; i++)
    {
        if (s == PyTuple_GET_ITEM(kwnames, i)) return kwvalues[i];
    }
    for (i = 0; i < n; i++)
    {
        int eq = __Pyx_PyUnicode_Equals(s, PyTuple_GET_ITEM(kwnames, i), Py_EQ);
        if (unlikely(eq != 0)) {
            if (unlikely(eq < 0)) return NULL;
            return kwvalues[i];
        }
    }
    return NULL;
}
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030d0000
CYTHON_UNUSED static PyObject *__Pyx_KwargsAsDict_FASTCALL(PyObject *kwnames, PyObject *const *kwvalues) {
    Py_ssize_t i, nkwargs = PyTuple_GET_SIZE(kwnames);
    PyObject *dict;
    dict = PyDict_New();
    if (unlikely(!dict))
        return NULL;
    for (i=0; i<nkwargs; i++) {
        PyObject *key = PyTuple_GET_ITEM(kwnames, i);
        if (unlikely(PyDict_SetItem(dict, key, kwvalues[i]) < 0))
            goto bad;
    }
    return dict;
bad:
    Py_DECREF(dict);
    return NULL;
}
#endif
#endif

/* RaiseArgTupleInvalid */
static void __Pyx_RaiseArgtupleInvalid(
    const char* func_name,
    int exact,
    Py_ssize_t num_min,
    Py_ssize_t num_max,
    Py_ssize_t num_found)
{
    Py_ssize_t num_expected;
    const char *more_or_less;
    if (num_found < num_min) {
        num_expected = num_min;
        more_or_less = "at least";
    } else {
        num_expected = num_max;
        more_or_less = "at most";
    }
    if (exact) {
        more_or_less = "exactly";
    }
    PyErr_Format(PyExc_TypeError,
                 "%.200s() takes %.8s %" CYTHON_FORMAT_SSIZE_T "d positional argument%.1s (%" CYTHON_FORMAT_SSIZE_T "d given)",
                 func_name, more_or_less, num_expected,
                 (num_expected == 1) ? "" : "s", num_found);
}

/* 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))) {
        Py_ssize_t kwsize;
#if CYTHON_ASSUME_SAFE_MACROS
        kwsize = PyTuple_GET_SIZE(kw);
#else
        kwsize = PyTuple_Size(kw);
        if (kwsize < 0) return 0;
#endif
        if (unlikely(kwsize == 0))
            return 1;
        if (!kw_allowed) {
#if CYTHON_ASSUME_SAFE_MACROS
            key = PyTuple_GET_ITEM(kw, 0);
#else
            key = PyTuple_GetItem(kw, pos);
            if (!key) return 0;
#endif
            goto invalid_keyword;
        }
#if PY_VERSION_HEX < 0x03090000
        for (pos = 0; pos < kwsize; pos++) {
#if CYTHON_ASSUME_SAFE_MACROS
            key = PyTuple_GET_ITEM(kw, pos);
#else
            key = PyTuple_GetItem(kw, pos);
            if (!key) return 0;
#endif
            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;
}

/* RaiseDoubleKeywords */
static void __Pyx_RaiseDoubleKeywordsError(
    const char* func_name,
    PyObject* kw_name)
{
    PyErr_Format(PyExc_TypeError,
        #if PY_MAJOR_VERSION >= 3
        "%s() got multiple values for keyword argument '%U'", func_name, kw_name);
        #else
        "%s() got multiple values for keyword argument '%s'", func_name,
        PyString_AsString(kw_name));
        #endif
}

/* ParseKeywords */
static int __Pyx_ParseOptionalKeywords(
    PyObject *kwds,
    PyObject *const *kwvalues,
    PyObject **argnames[],
    PyObject *kwds2,
    PyObject *values[],
    Py_ssize_t num_pos_args,
    const char* function_name)
{
    PyObject *key = 0, *value = 0;
    Py_ssize_t pos = 0;
    PyObject*** name;
    PyObject*** first_kw_arg = argnames + num_pos_args;
    int kwds_is_tuple = CYTHON_METH_FASTCALL && likely(PyTuple_Check(kwds));
    while (1) {
        Py_XDECREF(key); key = NULL;
        Py_XDECREF(value); value = NULL;
        if (kwds_is_tuple) {
            Py_ssize_t size;
#if CYTHON_ASSUME_SAFE_MACROS
            size = PyTuple_GET_SIZE(kwds);
#else
            size = PyTuple_Size(kwds);
            if (size < 0) goto bad;
#endif
            if (pos >= size) break;
#if CYTHON_AVOID_BORROWED_REFS
            key = __Pyx_PySequence_ITEM(kwds, pos);
            if (!key) goto bad;
#elif CYTHON_ASSUME_SAFE_MACROS
            key = PyTuple_GET_ITEM(kwds, pos);
#else
            key = PyTuple_GetItem(kwds, pos);
            if (!key) goto bad;
#endif
            value = kwvalues[pos];
            pos++;
        }
        else
        {
            if (!PyDict_Next(kwds, &pos, &key, &value)) break;
#if CYTHON_AVOID_BORROWED_REFS
            Py_INCREF(key);
#endif
        }
        name = first_kw_arg;
        while (*name && (**name != key)) name++;
        if (*name) {
            values[name-argnames] = value;
#if CYTHON_AVOID_BORROWED_REFS
            Py_INCREF(value);
            Py_DECREF(key);
#endif
            key = NULL;
            value = NULL;
            continue;
        }
#if !CYTHON_AVOID_BORROWED_REFS
        Py_INCREF(key);
#endif
        Py_INCREF(value);
        name = first_kw_arg;
        #if PY_MAJOR_VERSION < 3
        if (likely(PyString_Check(key))) {
            while (*name) {
                if ((CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**name) == PyString_GET_SIZE(key))
                        && _PyString_Eq(**name, key)) {
                    values[name-argnames] = value;
#if CYTHON_AVOID_BORROWED_REFS
                    value = NULL;
#endif
                    break;
                }
                name++;
            }
            if (*name) continue;
            else {
                PyObject*** argname = argnames;
                while (argname != first_kw_arg) {
                    if ((**argname == key) || (
                            (CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**argname) == PyString_GET_SIZE(key))
                             && _PyString_Eq(**argname, key))) {
                        goto arg_passed_twice;
                    }
                    argname++;
                }
            }
        } else
        #endif
        if (likely(PyUnicode_Check(key))) {
            while (*name) {
                int cmp = (
                #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
                    (__Pyx_PyUnicode_GET_LENGTH(**name) != __Pyx_PyUnicode_GET_LENGTH(key)) ? 1 :
                #endif
                    PyUnicode_Compare(**name, key)
                );
                if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
                if (cmp == 0) {
                    values[name-argnames] = value;
#if CYTHON_AVOID_BORROWED_REFS
                    value = NULL;
#endif
                    break;
                }
                name++;
            }
            if (*name) continue;
            else {
                PyObject*** argname = argnames;
                while (argname != first_kw_arg) {
                    int cmp = (**argname == key) ? 0 :
                    #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
                        (__Pyx_PyUnicode_GET_LENGTH(**argname) != __Pyx_PyUnicode_GET_LENGTH(key)) ? 1 :
                    #endif
                        PyUnicode_Compare(**argname, key);
                    if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
                    if (cmp == 0) goto arg_passed_twice;
                    argname++;
                }
            }
        } else
            goto invalid_keyword_type;
        if (kwds2) {
            if (unlikely(PyDict_SetItem(kwds2, key, value))) goto bad;
        } else {
            goto invalid_keyword;
        }
    }
    Py_XDECREF(key);
    Py_XDECREF(value);
    return 0;
arg_passed_twice:
    __Pyx_RaiseDoubleKeywordsError(function_name, key);
    goto bad;
invalid_keyword_type:
    PyErr_Format(PyExc_TypeError,
        "%.200s() keywords must be strings", function_name);
    goto bad;
invalid_keyword:
    #if PY_MAJOR_VERSION < 3
    PyErr_Format(PyExc_TypeError,
        "%.200s() got an unexpected keyword argument '%.200s'",
        function_name, PyString_AsString(key));
    #else
    PyErr_Format(PyExc_TypeError,
        "%s() got an unexpected keyword argument '%U'",
        function_name, key);
    #endif
bad:
    Py_XDECREF(key);
    Py_XDECREF(value);
    return -1;
}

/* GetModuleGlobalName */
#if CYTHON_USE_DICT_VERSIONS
static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value)
#else
static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name)
#endif
{
    PyObject *result;
#if !CYTHON_AVOID_BORROWED_REFS
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1 && PY_VERSION_HEX < 0x030d0000
    result = _PyDict_GetItem_KnownHash(__pyx_d, name, ((PyASCIIObject *) name)->hash);
    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    } else if (unlikely(PyErr_Occurred())) {
        return NULL;
    }
#elif CYTHON_COMPILING_IN_LIMITED_API
    if (unlikely(!__pyx_m)) {
        return NULL;
    }
    result = PyObject_GetAttr(__pyx_m, name);
    if (likely(result)) {
        return result;
    }
#else
    result = PyDict_GetItem(__pyx_d, name);
    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    }
#endif
#else
    result = PyObject_GetItem(__pyx_d, name);
    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    }
    PyErr_Clear();
#endif
    return __Pyx_GetBuiltinName(name);
}

/* GetTopmostException */
#if CYTHON_USE_EXC_INFO_STACK && CYTHON_FAST_THREAD_STATE
static _PyErr_StackItem *
__Pyx_PyErr_GetTopmostException(PyThreadState *tstate)
{
    _PyErr_StackItem *exc_info = tstate->exc_info;
    while ((exc_info->exc_value == NULL || exc_info->exc_value == Py_None) &&
           exc_info->previous_item != NULL)
    {
        exc_info = exc_info->previous_item;
    }
    return exc_info;
}
#endif

/* SaveResetException */
#if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
  #if CYTHON_USE_EXC_INFO_STACK && PY_VERSION_HEX >= 0x030B00a4
    _PyErr_StackItem *exc_info = __Pyx_PyErr_GetTopmostException(tstate);
    PyObject *exc_value = exc_info->exc_value;
    if (exc_value == NULL || exc_value == Py_None) {
        *value = NULL;
        *type = NULL;
        *tb = NULL;
    } else {
        *value = exc_value;
        Py_INCREF(*value);
        *type = (PyObject*) Py_TYPE(exc_value);
        Py_INCREF(*type);
        *tb = PyException_GetTraceback(exc_value);
    }
  #elif CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = __Pyx_PyErr_GetTopmostException(tstate);
    *type = exc_info->exc_type;
    *value = exc_info->exc_value;
    *tb = exc_info->exc_traceback;
    Py_XINCREF(*type);
    Py_XINCREF(*value);
    Py_XINCREF(*tb);
  #else
    *type = tstate->exc_type;
    *value = tstate->exc_value;
    *tb = tstate->exc_traceback;
    Py_XINCREF(*type);
    Py_XINCREF(*value);
    Py_XINCREF(*tb);
  #endif
}
static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
  #if CYTHON_USE_EXC_INFO_STACK && PY_VERSION_HEX >= 0x030B00a4
    _PyErr_StackItem *exc_info = tstate->exc_info;
    PyObject *tmp_value = exc_info->exc_value;
    exc_info->exc_value = value;
    Py_XDECREF(tmp_value);
    Py_XDECREF(type);
    Py_XDECREF(tb);
  #else
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    #if CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = tstate->exc_info;
    tmp_type = exc_info->exc_type;
    tmp_value = exc_info->exc_value;
    tmp_tb = exc_info->exc_traceback;
    exc_info->exc_type = type;
    exc_info->exc_value = value;
    exc_info->exc_traceback = tb;
    #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = type;
    tstate->exc_value = value;
    tstate->exc_traceback = tb;
    #endif
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
  #endif
}
#endif

/* GetException */
#if CYTHON_FAST_THREAD_STATE
static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb)
#else
static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb)
#endif
{
    PyObject *local_type = NULL, *local_value, *local_tb = NULL;
#if CYTHON_FAST_THREAD_STATE
    PyObject *tmp_type, *tmp_value, *tmp_tb;
  #if PY_VERSION_HEX >= 0x030C00A6
    local_value = tstate->current_exception;
    tstate->current_exception = 0;
    if (likely(local_value)) {
        local_type = (PyObject*) Py_TYPE(local_value);
        Py_INCREF(local_type);
        local_tb = PyException_GetTraceback(local_value);
    }
  #else
    local_type = tstate->curexc_type;
    local_value = tstate->curexc_value;
    local_tb = tstate->curexc_traceback;
    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
  #endif
#else
    PyErr_Fetch(&local_type, &local_value, &local_tb);
#endif
    PyErr_NormalizeException(&local_type, &local_value, &local_tb);
#if CYTHON_FAST_THREAD_STATE && PY_VERSION_HEX >= 0x030C00A6
    if (unlikely(tstate->current_exception))
#elif CYTHON_FAST_THREAD_STATE
    if (unlikely(tstate->curexc_type))
#else
    if (unlikely(PyErr_Occurred()))
#endif
        goto bad;
    #if PY_MAJOR_VERSION >= 3
    if (local_tb) {
        if (unlikely(PyException_SetTraceback(local_value, local_tb) < 0))
            goto bad;
    }
    #endif
    Py_XINCREF(local_tb);
    Py_XINCREF(local_type);
    Py_XINCREF(local_value);
    *type = local_type;
    *value = local_value;
    *tb = local_tb;
#if CYTHON_FAST_THREAD_STATE
    #if CYTHON_USE_EXC_INFO_STACK
    {
        _PyErr_StackItem *exc_info = tstate->exc_info;
      #if PY_VERSION_HEX >= 0x030B00a4
        tmp_value = exc_info->exc_value;
        exc_info->exc_value = local_value;
        tmp_type = NULL;
        tmp_tb = NULL;
        Py_XDECREF(local_type);
        Py_XDECREF(local_tb);
      #else
        tmp_type = exc_info->exc_type;
        tmp_value = exc_info->exc_value;
        tmp_tb = exc_info->exc_traceback;
        exc_info->exc_type = local_type;
        exc_info->exc_value = local_value;
        exc_info->exc_traceback = local_tb;
      #endif
    }
    #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = local_type;
    tstate->exc_value = local_value;
    tstate->exc_traceback = local_tb;
    #endif
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
#else
    PyErr_SetExcInfo(local_type, local_value, local_tb);
#endif
    return 0;
bad:
    *type = 0;
    *value = 0;
    *tb = 0;
    Py_XDECREF(local_type);
    Py_XDECREF(local_value);
    Py_XDECREF(local_tb);
    return -1;
}

/* RaiseException */
#if PY_MAJOR_VERSION < 3
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {
    __Pyx_PyThreadState_declare
    CYTHON_UNUSED_VAR(cause);
    Py_XINCREF(type);
    if (!value || value == Py_None)
        value = NULL;
    else
        Py_INCREF(value);
    if (!tb || tb == Py_None)
        tb = NULL;
    else {
        Py_INCREF(tb);
        if (!PyTraceBack_Check(tb)) {
            PyErr_SetString(PyExc_TypeError,
                "raise: arg 3 must be a traceback or None");
            goto raise_error;
        }
    }
    if (PyType_Check(type)) {
#if CYTHON_COMPILING_IN_PYPY
        if (!value) {
            Py_INCREF(Py_None);
            value = Py_None;
        }
#endif
        PyErr_NormalizeException(&type, &value, &tb);
    } else {
        if (value) {
            PyErr_SetString(PyExc_TypeError,
                "instance exception may not have a separate value");
            goto raise_error;
        }
        value = type;
        type = (PyObject*) Py_TYPE(type);
        Py_INCREF(type);
        if (!PyType_IsSubtype((PyTypeObject *)type, (PyTypeObject *)PyExc_BaseException)) {
            PyErr_SetString(PyExc_TypeError,
                "raise: exception class must be a subclass of BaseException");
            goto raise_error;
        }
    }
    __Pyx_PyThreadState_assign
    __Pyx_ErrRestore(type, value, tb);
    return;
raise_error:
    Py_XDECREF(value);
    Py_XDECREF(type);
    Py_XDECREF(tb);
    return;
}
#else
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {
    PyObject* owned_instance = NULL;
    if (tb == Py_None) {
        tb = 0;
    } else if (tb && !PyTraceBack_Check(tb)) {
        PyErr_SetString(PyExc_TypeError,
            "raise: arg 3 must be a traceback or None");
        goto bad;
    }
    if (value == Py_None)
        value = 0;
    if (PyExceptionInstance_Check(type)) {
        if (value) {
            PyErr_SetString(PyExc_TypeError,
                "instance exception may not have a separate value");
            goto bad;
        }
        value = type;
        type = (PyObject*) Py_TYPE(value);
    } else if (PyExceptionClass_Check(type)) {
        PyObject *instance_class = NULL;
        if (value && PyExceptionInstance_Check(value)) {
            instance_class = (PyObject*) Py_TYPE(value);
            if (instance_class != type) {
                int is_subclass = PyObject_IsSubclass(instance_class, type);
                if (!is_subclass) {
                    instance_class = NULL;
                } else if (unlikely(is_subclass == -1)) {
                    goto bad;
                } else {
                    type = instance_class;
                }
            }
        }
        if (!instance_class) {
            PyObject *args;
            if (!value)
                args = PyTuple_New(0);
            else if (PyTuple_Check(value)) {
                Py_INCREF(value);
                args = value;
            } else
                args = PyTuple_Pack(1, value);
            if (!args)
                goto bad;
            owned_instance = PyObject_Call(type, args, NULL);
            Py_DECREF(args);
            if (!owned_instance)
                goto bad;
            value = owned_instance;
            if (!PyExceptionInstance_Check(value)) {
                PyErr_Format(PyExc_TypeError,
                             "calling %R should have returned an instance of "
                             "BaseException, not %R",
                             type, Py_TYPE(value));
                goto bad;
            }
        }
    } else {
        PyErr_SetString(PyExc_TypeError,
            "raise: exception class must be a subclass of BaseException");
        goto bad;
    }
    if (cause) {
        PyObject *fixed_cause;
        if (cause == Py_None) {
            fixed_cause = NULL;
        } else if (PyExceptionClass_Check(cause)) {
            fixed_cause = PyObject_CallObject(cause, NULL);
            if (fixed_cause == NULL)
                goto bad;
        } else if (PyExceptionInstance_Check(cause)) {
            fixed_cause = cause;
            Py_INCREF(fixed_cause);
        } else {
            PyErr_SetString(PyExc_TypeError,
                            "exception causes must derive from "
                            "BaseException");
            goto bad;
        }
        PyException_SetCause(value, fixed_cause);
    }
    PyErr_SetObject(type, value);
    if (tb) {
      #if PY_VERSION_HEX >= 0x030C00A6
        PyException_SetTraceback(value, tb);
      #elif CYTHON_FAST_THREAD_STATE
        PyThreadState *tstate = __Pyx_PyThreadState_Current;
        PyObject* tmp_tb = tstate->curexc_traceback;
        if (tb != tmp_tb) {
            Py_INCREF(tb);
            tstate->curexc_traceback = tb;
            Py_XDECREF(tmp_tb);
        }
#else
        PyObject *tmp_type, *tmp_value, *tmp_tb;
        PyErr_Fetch(&tmp_type, &tmp_value, &tmp_tb);
        Py_INCREF(tb);
        PyErr_Restore(tmp_type, tmp_value, tb);
        Py_XDECREF(tmp_tb);
#endif
    }
bad:
    Py_XDECREF(owned_instance);
    return;
}
#endif

/* 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

/* 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))) {
        int ret;
        __Pyx_GIVEREF(*p_left);
        ret = PyUnicode_Resize(p_left, new_len);
        __Pyx_GOTREF(*p_left);
        if (unlikely(ret != 0))
            return NULL;
        #if PY_VERSION_HEX >= 0x030d0000
        if (unlikely(PyUnicode_CopyCharacters(*p_left, left_len, right, 0, right_len) < 0)) return NULL;
        #else
        _PyUnicode_FastCopyCharacters(*p_left, left_len, right, 0, right_len);
        #endif
        __Pyx_INCREF(*p_left);
        __Pyx_GIVEREF(*p_left);
        return *p_left;
    } else {
        return __Pyx_PyUnicode_Concat(left, right);
    }
  }
#endif

/* PyIntBinop */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_AddObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check) {
    CYTHON_MAYBE_UNUSED_VAR(intval);
    CYTHON_MAYBE_UNUSED_VAR(inplace);
    CYTHON_UNUSED_VAR(zerodivision_check);
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long x;
        long a = PyInt_AS_LONG(op1);
        
            x = (long)((unsigned long)a + (unsigned long)b);
            if (likely((x^a) >= 0 || (x^b) >= 0))
                return PyInt_FromLong(x);
            return PyLong_Type.tp_as_number->nb_add(op1, op2);
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        const long b = intval;
        long a, x;
#ifdef HAVE_LONG_LONG
        const PY_LONG_LONG llb = intval;
        PY_LONG_LONG lla, llx;
#endif
        if (unlikely(__Pyx_PyLong_IsZero(op1))) {
            return __Pyx_NewRef(op2);
        }
        if (likely(__Pyx_PyLong_IsCompact(op1))) {
            a = __Pyx_PyLong_CompactValue(op1);
        } else {
            const digit* digits = __Pyx_PyLong_Digits(op1);
            const Py_ssize_t size = __Pyx_PyLong_SignedDigitCount(op1);
            switch (size) {
                case -2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                case 2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                case -3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                case 3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                case -4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                case 4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                default: return PyLong_Type.tp_as_number->nb_add(op1, op2);
            }
        }
                x = a + b;
            return PyLong_FromLong(x);
#ifdef HAVE_LONG_LONG
        long_long:
                llx = lla + llb;
            return PyLong_FromLongLong(llx);
#endif
        
        
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
#if CYTHON_COMPILING_IN_LIMITED_API
        double a = __pyx_PyFloat_AsDouble(op1);
#else
        double a = PyFloat_AS_DOUBLE(op1);
#endif
            double result;
            
            PyFPE_START_PROTECT("add", return NULL)
            result = ((double)a) + (double)b;
            PyFPE_END_PROTECT(result)
            return PyFloat_FromDouble(result);
    }
    return (inplace ? PyNumber_InPlaceAdd : PyNumber_Add)(op1, op2);
}
#endif

/* pep479 */
static void __Pyx_Generator_Replace_StopIteration(int in_async_gen) {
    PyObject *exc, *val, *tb, *cur_exc;
    __Pyx_PyThreadState_declare
    #ifdef __Pyx_StopAsyncIteration_USED
    int is_async_stopiteration = 0;
    #endif
    CYTHON_MAYBE_UNUSED_VAR(in_async_gen);
    cur_exc = PyErr_Occurred();
    if (likely(!__Pyx_PyErr_GivenExceptionMatches(cur_exc, PyExc_StopIteration))) {
        #ifdef __Pyx_StopAsyncIteration_USED
        if (in_async_gen && unlikely(__Pyx_PyErr_GivenExceptionMatches(cur_exc, __Pyx_PyExc_StopAsyncIteration))) {
            is_async_stopiteration = 1;
        } else
        #endif
            return;
    }
    __Pyx_PyThreadState_assign
    __Pyx_GetException(&exc, &val, &tb);
    Py_XDECREF(exc);
    Py_XDECREF(val);
    Py_XDECREF(tb);
    PyErr_SetString(PyExc_RuntimeError,
        #ifdef __Pyx_StopAsyncIteration_USED
        is_async_stopiteration ? "async generator raised StopAsyncIteration" :
        in_async_gen ? "async generator raised StopIteration" :
        #endif
        "generator raised StopIteration");
}

/* PyObjectCallNoArg */
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func) {
    PyObject *arg[2] = {NULL, NULL};
    return __Pyx_PyObject_FastCall(func, arg + 1, 0 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET);
}

/* decode_c_bytes */
static CYTHON_INLINE PyObject* __Pyx_decode_c_bytes(
         const char* cstring, Py_ssize_t length, Py_ssize_t start, Py_ssize_t stop,
         const char* encoding, const char* errors,
         PyObject* (*decode_func)(const char *s, Py_ssize_t size, const char *errors)) {
    if (unlikely((start < 0) | (stop < 0))) {
        if (start < 0) {
            start += length;
            if (start < 0)
                start = 0;
        }
        if (stop < 0)
            stop += length;
    }
    if (stop > length)
        stop = length;
    if (unlikely(stop <= start))
        return __Pyx_NewRef(__pyx_empty_unicode);
    length = stop - start;
    cstring += start;
    if (decode_func) {
        return decode_func(cstring, length, errors);
    } else {
        return PyUnicode_Decode(cstring, length, encoding, errors);
    }
}

/* SwapException */
#if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx__ExceptionSwap(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
  #if CYTHON_USE_EXC_INFO_STACK && PY_VERSION_HEX >= 0x030B00a4
    _PyErr_StackItem *exc_info = tstate->exc_info;
    tmp_value = exc_info->exc_value;
    exc_info->exc_value = *value;
    if (tmp_value == NULL || tmp_value == Py_None) {
        Py_XDECREF(tmp_value);
        tmp_value = NULL;
        tmp_type = NULL;
        tmp_tb = NULL;
    } else {
        tmp_type = (PyObject*) Py_TYPE(tmp_value);
        Py_INCREF(tmp_type);
        #if CYTHON_COMPILING_IN_CPYTHON
        tmp_tb = ((PyBaseExceptionObject*) tmp_value)->traceback;
        Py_XINCREF(tmp_tb);
        #else
        tmp_tb = PyException_GetTraceback(tmp_value);
        #endif
    }
  #elif CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = tstate->exc_info;
    tmp_type = exc_info->exc_type;
    tmp_value = exc_info->exc_value;
    tmp_tb = exc_info->exc_traceback;
    exc_info->exc_type = *type;
    exc_info->exc_value = *value;
    exc_info->exc_traceback = *tb;
  #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = *type;
    tstate->exc_value = *value;
    tstate->exc_traceback = *tb;
  #endif
    *type = tmp_type;
    *value = tmp_value;
    *tb = tmp_tb;
}
#else
static CYTHON_INLINE void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    PyErr_GetExcInfo(&tmp_type, &tmp_value, &tmp_tb);
    PyErr_SetExcInfo(*type, *value, *tb);
    *type = tmp_type;
    *value = tmp_value;
    *tb = tmp_tb;
}
#endif

/* SetItemInt */
static int __Pyx_SetItemInt_Generic(PyObject *o, PyObject *j, PyObject *v) {
    int r;
    if (unlikely(!j)) return -1;
    r = PyObject_SetItem(o, j, v);
    Py_DECREF(j);
    return r;
}
static CYTHON_INLINE int __Pyx_SetItemInt_Fast(PyObject *o, Py_ssize_t i, PyObject *v, int is_list,
                                               CYTHON_NCP_UNUSED int wraparound, CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS && CYTHON_USE_TYPE_SLOTS
    if (is_list || PyList_CheckExact(o)) {
        Py_ssize_t n = (!wraparound) ? i : ((likely(i >= 0)) ? i : i + PyList_GET_SIZE(o));
        if ((!boundscheck) || likely(__Pyx_is_valid_index(n, PyList_GET_SIZE(o)))) {
            PyObject* old = PyList_GET_ITEM(o, n);
            Py_INCREF(v);
            PyList_SET_ITEM(o, n, v);
            Py_DECREF(old);
            return 1;
        }
    } else {
        PyMappingMethods *mm = Py_TYPE(o)->tp_as_mapping;
        PySequenceMethods *sm = Py_TYPE(o)->tp_as_sequence;
        if (mm && mm->mp_ass_subscript) {
            int r;
            PyObject *key = PyInt_FromSsize_t(i);
            if (unlikely(!key)) return -1;
            r = mm->mp_ass_subscript(o, key, v);
            Py_DECREF(key);
            return r;
        }
        if (likely(sm && sm->sq_ass_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 -1;
                    PyErr_Clear();
                }
            }
            return sm->sq_ass_item(o, i, v);
        }
    }
#else
    if (is_list || !PyMapping_Check(o))
    {
        return PySequence_SetItem(o, i, v);
    }
#endif
    return __Pyx_SetItemInt_Generic(o, PyInt_FromSsize_t(i), v);
}

/* 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;
}

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

/* ImportDottedModule */
#if PY_MAJOR_VERSION >= 3
static PyObject *__Pyx__ImportDottedModule_Error(PyObject *name, PyObject *parts_tuple, Py_ssize_t count) {
    PyObject *partial_name = NULL, *slice = NULL, *sep = NULL;
    if (unlikely(PyErr_Occurred())) {
        PyErr_Clear();
    }
    if (likely(PyTuple_GET_SIZE(parts_tuple) == count)) {
        partial_name = name;
    } else {
        slice = PySequence_GetSlice(parts_tuple, 0, count);
        if (unlikely(!slice))
            goto bad;
        sep = PyUnicode_FromStringAndSize(".", 1);
        if (unlikely(!sep))
            goto bad;
        partial_name = PyUnicode_Join(sep, slice);
    }
    PyErr_Format(
#if PY_MAJOR_VERSION < 3
        PyExc_ImportError,
        "No module named '%s'", PyString_AS_STRING(partial_name));
#else
#if PY_VERSION_HEX >= 0x030600B1
        PyExc_ModuleNotFoundError,
#else
        PyExc_ImportError,
#endif
        "No module named '%U'", partial_name);
#endif
bad:
    Py_XDECREF(sep);
    Py_XDECREF(slice);
    Py_XDECREF(partial_name);
    return NULL;
}
#endif
#if PY_MAJOR_VERSION >= 3
static PyObject *__Pyx__ImportDottedModule_Lookup(PyObject *name) {
    PyObject *imported_module;
#if PY_VERSION_HEX < 0x030700A1 || (CYTHON_COMPILING_IN_PYPY && PYPY_VERSION_NUM  < 0x07030400)
    PyObject *modules = PyImport_GetModuleDict();
    if (unlikely(!modules))
        return NULL;
    imported_module = __Pyx_PyDict_GetItemStr(modules, name);
    Py_XINCREF(imported_module);
#else
    imported_module = PyImport_GetModule(name);
#endif
    return imported_module;
}
#endif
#if PY_MAJOR_VERSION >= 3
static PyObject *__Pyx_ImportDottedModule_WalkParts(PyObject *module, PyObject *name, PyObject *parts_tuple) {
    Py_ssize_t i, nparts;
    nparts = PyTuple_GET_SIZE(parts_tuple);
    for (i=1; i < nparts && module; i++) {
        PyObject *part, *submodule;
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
        part = PyTuple_GET_ITEM(parts_tuple, i);
#else
        part = PySequence_ITEM(parts_tuple, i);
#endif
        submodule = __Pyx_PyObject_GetAttrStrNoError(module, part);
#if !(CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)
        Py_DECREF(part);
#endif
        Py_DECREF(module);
        module = submodule;
    }
    if (unlikely(!module)) {
        return __Pyx__ImportDottedModule_Error(name, parts_tuple, i);
    }
    return module;
}
#endif
static PyObject *__Pyx__ImportDottedModule(PyObject *name, PyObject *parts_tuple) {
#if PY_MAJOR_VERSION < 3
    PyObject *module, *from_list, *star = __pyx_n_s__9;
    CYTHON_UNUSED_VAR(parts_tuple);
    from_list = PyList_New(1);
    if (unlikely(!from_list))
        return NULL;
    Py_INCREF(star);
    PyList_SET_ITEM(from_list, 0, star);
    module = __Pyx_Import(name, from_list, 0);
    Py_DECREF(from_list);
    return module;
#else
    PyObject *imported_module;
    PyObject *module = __Pyx_Import(name, NULL, 0);
    if (!parts_tuple || unlikely(!module))
        return module;
    imported_module = __Pyx__ImportDottedModule_Lookup(name);
    if (likely(imported_module)) {
        Py_DECREF(module);
        return imported_module;
    }
    PyErr_Clear();
    return __Pyx_ImportDottedModule_WalkParts(module, name, parts_tuple);
#endif
}
static PyObject *__Pyx_ImportDottedModule(PyObject *name, PyObject *parts_tuple) {
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030400B1
    PyObject *module = __Pyx__ImportDottedModule_Lookup(name);
    if (likely(module)) {
        PyObject *spec = __Pyx_PyObject_GetAttrStrNoError(module, __pyx_n_s_spec);
        if (likely(spec)) {
            PyObject *unsafe = __Pyx_PyObject_GetAttrStrNoError(spec, __pyx_n_s_initializing);
            if (likely(!unsafe || !__Pyx_PyObject_IsTrue(unsafe))) {
                Py_DECREF(spec);
                spec = NULL;
            }
            Py_XDECREF(unsafe);
        }
        if (likely(!spec)) {
            PyErr_Clear();
            return module;
        }
        Py_DECREF(spec);
        Py_DECREF(module);
    } else if (PyErr_Occurred()) {
        PyErr_Clear();
    }
#endif
    return __Pyx__ImportDottedModule(name, parts_tuple);
}

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

/* 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;
#if CYTHON_ASSUME_SAFE_MACROS
    n = PyTuple_GET_SIZE(bases);
#else
    n = PyTuple_Size(bases);
    if (n < 0) return -1;
#endif
    for (i = 1; i < n; i++)
    {
#if CYTHON_AVOID_BORROWED_REFS
        PyObject *b0 = PySequence_GetItem(bases, i);
        if (!b0) return -1;
#elif CYTHON_ASSUME_SAFE_MACROS
        PyObject *b0 = PyTuple_GET_ITEM(bases, i);
#else
        PyObject *b0 = PyTuple_GetItem(bases, i);
        if (!b0) return -1;
#endif
        PyTypeObject *b;
#if PY_MAJOR_VERSION < 3
        if (PyClass_Check(b0))
        {
            PyErr_Format(PyExc_TypeError, "base class '%.200s' is an old-style class",
                         PyString_AS_STRING(((PyClassObject*)b0)->cl_name));
#if CYTHON_AVOID_BORROWED_REFS
            Py_DECREF(b0);
#endif
            return -1;
        }
#endif
        b = (PyTypeObject*) b0;
        if (!__Pyx_PyType_HasFeature(b, Py_TPFLAGS_HEAPTYPE))
        {
            __Pyx_TypeName b_name = __Pyx_PyType_GetName(b);
            PyErr_Format(PyExc_TypeError,
                "base class '" __Pyx_FMT_TYPENAME "' is not a heap type", b_name);
            __Pyx_DECREF_TypeName(b_name);
#if CYTHON_AVOID_BORROWED_REFS
            Py_DECREF(b0);
#endif
            return -1;
        }
        if (dictoffset == 0)
        {
            Py_ssize_t b_dictoffset = 0;
#if CYTHON_USE_TYPE_SLOTS || CYTHON_COMPILING_IN_PYPY
            b_dictoffset = b->tp_dictoffset;
#else
            PyObject *py_b_dictoffset = PyObject_GetAttrString((PyObject*)b, "__dictoffset__");
            if (!py_b_dictoffset) goto dictoffset_return;
            b_dictoffset = PyLong_AsSsize_t(py_b_dictoffset);
            Py_DECREF(py_b_dictoffset);
            if (b_dictoffset == -1 && PyErr_Occurred()) goto dictoffset_return;
#endif
            if (b_dictoffset) {
                {
                    __Pyx_TypeName b_name = __Pyx_PyType_GetName(b);
                    PyErr_Format(PyExc_TypeError,
                        "extension type '%.200s' has no __dict__ slot, "
                        "but base type '" __Pyx_FMT_TYPENAME "' has: "
                        "either add 'cdef dict __dict__' to the extension type "
                        "or add '__slots__ = [...]' to the base type",
                        type_name, b_name);
                    __Pyx_DECREF_TypeName(b_name);
                }
#if !(CYTHON_USE_TYPE_SLOTS || CYTHON_COMPILING_IN_PYPY)
              dictoffset_return:
#endif
#if CYTHON_AVOID_BORROWED_REFS
                Py_DECREF(b0);
#endif
                return -1;
            }
        }
#if CYTHON_AVOID_BORROWED_REFS
        Py_DECREF(b0);
#endif
    }
    return 0;
}
#endif

/* PyType_Ready */
static int __Pyx_PyType_Ready(PyTypeObject *t) {
#if CYTHON_USE_TYPE_SPECS || !(CYTHON_COMPILING_IN_CPYTHON || CYTHON_COMPILING_IN_LIMITED_API) || defined(PYSTON_MAJOR_VERSION)
    (void)__Pyx_PyObject_CallMethod0;
#if CYTHON_USE_TYPE_SPECS
    (void)__Pyx_validate_bases_tuple;
#endif
    return PyType_Ready(t);
#else
    int r;
    PyObject *bases = __Pyx_PyType_GetSlot(t, tp_bases, PyObject*);
    if (bases && unlikely(__Pyx_validate_bases_tuple(t->tp_name, t->tp_dictoffset, bases) == -1))
        return -1;
#if PY_VERSION_HEX >= 0x03050000 && !defined(PYSTON_MAJOR_VERSION)
    {
        int gc_was_enabled;
    #if PY_VERSION_HEX >= 0x030A00b1
        gc_was_enabled = PyGC_Disable();
        (void)__Pyx_PyObject_CallMethod0;
    #else
        PyObject *ret, *py_status;
        PyObject *gc = NULL;
        #if PY_VERSION_HEX >= 0x030700a1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM+0 >= 0x07030400)
        gc = PyImport_GetModule(__pyx_kp_u_gc);
        #endif
        if (unlikely(!gc)) gc = PyImport_Import(__pyx_kp_u_gc);
        if (unlikely(!gc)) return -1;
        py_status = __Pyx_PyObject_CallMethod0(gc, __pyx_kp_u_isenabled);
        if (unlikely(!py_status)) {
            Py_DECREF(gc);
            return -1;
        }
        gc_was_enabled = __Pyx_PyObject_IsTrue(py_status);
        Py_DECREF(py_status);
        if (gc_was_enabled > 0) {
            ret = __Pyx_PyObject_CallMethod0(gc, __pyx_kp_u_disable);
            if (unlikely(!ret)) {
                Py_DECREF(gc);
                return -1;
            }
            Py_DECREF(ret);
        } else if (unlikely(gc_was_enabled == -1)) {
            Py_DECREF(gc);
            return -1;
        }
    #endif
        t->tp_flags |= Py_TPFLAGS_HEAPTYPE;
#if PY_VERSION_HEX >= 0x030A0000
        t->tp_flags |= Py_TPFLAGS_IMMUTABLETYPE;
#endif
#else
        (void)__Pyx_PyObject_CallMethod0;
#endif
    r = PyType_Ready(t);
#if PY_VERSION_HEX >= 0x03050000 && !defined(PYSTON_MAJOR_VERSION)
        t->tp_flags &= ~Py_TPFLAGS_HEAPTYPE;
    #if PY_VERSION_HEX >= 0x030A00b1
        if (gc_was_enabled)
            PyGC_Enable();
    #else
        if (gc_was_enabled) {
            PyObject *tp, *v, *tb;
            PyErr_Fetch(&tp, &v, &tb);
            ret = __Pyx_PyObject_CallMethod0(gc, __pyx_kp_u_enable);
            if (likely(ret || r == -1)) {
                Py_XDECREF(ret);
                PyErr_Restore(tp, v, tb);
            } else {
                Py_XDECREF(tp);
                Py_XDECREF(v);
                Py_XDECREF(tb);
                r = -1;
            }
        }
        Py_DECREF(gc);
    #endif
    }
#endif
    return r;
#endif
}

/* 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

/* SetVTable */
static int __Pyx_SetVtable(PyTypeObject *type, void *vtable) {
    PyObject *ob = PyCapsule_New(vtable, 0, 0);
    if (unlikely(!ob))
        goto bad;
#if CYTHON_COMPILING_IN_LIMITED_API
    if (unlikely(PyObject_SetAttr((PyObject *) type, __pyx_n_s_pyx_vtable, ob) < 0))
#else
    if (unlikely(PyDict_SetItem(type->tp_dict, __pyx_n_s_pyx_vtable, ob) < 0))
#endif
        goto bad;
    Py_DECREF(ob);
    return 0;
bad:
    Py_XDECREF(ob);
    return -1;
}

/* GetVTable */
static void* __Pyx_GetVtable(PyTypeObject *type) {
    void* ptr;
#if CYTHON_COMPILING_IN_LIMITED_API
    PyObject *ob = PyObject_GetAttr((PyObject *)type, __pyx_n_s_pyx_vtable);
#else
    PyObject *ob = PyObject_GetItem(type->tp_dict, __pyx_n_s_pyx_vtable);
#endif
    if (!ob)
        goto bad;
    ptr = PyCapsule_GetPointer(ob, 0);
    if (!ptr && !PyErr_Occurred())
        PyErr_SetString(PyExc_RuntimeError, "invalid vtable found for imported type");
    Py_DECREF(ob);
    return ptr;
bad:
    Py_XDECREF(ob);
    return NULL;
}

/* MergeVTables */
#if !CYTHON_COMPILING_IN_LIMITED_API
static int __Pyx_MergeVtables(PyTypeObject *type) {
    int i;
    void** base_vtables;
    __Pyx_TypeName tp_base_name;
    __Pyx_TypeName base_name;
    void* unknown = (void*)-1;
    PyObject* bases = type->tp_bases;
    int base_depth = 0;
    {
        PyTypeObject* base = type->tp_base;
        while (base) {
            base_depth += 1;
            base = base->tp_base;
        }
    }
    base_vtables = (void**) malloc(sizeof(void*) * (size_t)(base_depth + 1));
    base_vtables[0] = unknown;
    for (i = 1; i < PyTuple_GET_SIZE(bases); i++) {
        void* base_vtable = __Pyx_GetVtable(((PyTypeObject*)PyTuple_GET_ITEM(bases, i)));
        if (base_vtable != NULL) {
            int j;
            PyTypeObject* base = type->tp_base;
            for (j = 0; j < base_depth; j++) {
                if (base_vtables[j] == unknown) {
                    base_vtables[j] = __Pyx_GetVtable(base);
                    base_vtables[j + 1] = unknown;
                }
                if (base_vtables[j] == base_vtable) {
                    break;
                } else if (base_vtables[j] == NULL) {
                    goto bad;
                }
                base = base->tp_base;
            }
        }
    }
    PyErr_Clear();
    free(base_vtables);
    return 0;
bad:
    tp_base_name = __Pyx_PyType_GetName(type->tp_base);
    base_name = __Pyx_PyType_GetName((PyTypeObject*)PyTuple_GET_ITEM(bases, i));
    PyErr_Format(PyExc_TypeError,
        "multiple bases have vtable conflict: '" __Pyx_FMT_TYPENAME "' and '" __Pyx_FMT_TYPENAME "'", tp_base_name, base_name);
    __Pyx_DECREF_TypeName(tp_base_name);
    __Pyx_DECREF_TypeName(base_name);
    free(base_vtables);
    return -1;
}
#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

/* FetchSharedCythonModule */
static PyObject *__Pyx_FetchSharedCythonABIModule(void) {
    return __Pyx_PyImport_AddModuleRef((char*) __PYX_ABI_MODULE_NAME);
}

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

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

/* CythonFunctionShared */
#if CYTHON_COMPILING_IN_LIMITED_API
static CYTHON_INLINE int __Pyx__IsSameCyOrCFunction(PyObject *func, void *cfunc) {
    if (__Pyx_CyFunction_Check(func)) {
        return PyCFunction_GetFunction(((__pyx_CyFunctionObject*)func)->func) == (PyCFunction) cfunc;
    } else if (PyCFunction_Check(func)) {
        return PyCFunction_GetFunction(func) == (PyCFunction) cfunc;
    }
    return 0;
}
#else
static CYTHON_INLINE int __Pyx__IsSameCyOrCFunction(PyObject *func, void *cfunc) {
    return __Pyx_CyOrPyCFunction_Check(func) && __Pyx_CyOrPyCFunction_GET_FUNCTION(func) == (PyCFunction) cfunc;
}
#endif
static CYTHON_INLINE void __Pyx__CyFunction_SetClassObj(__pyx_CyFunctionObject* f, PyObject* classobj) {
#if PY_VERSION_HEX < 0x030900B1 || CYTHON_COMPILING_IN_LIMITED_API
    __Pyx_Py_XDECREF_SET(
        __Pyx_CyFunction_GetClassObj(f),
            ((classobj) ? __Pyx_NewRef(classobj) : NULL));
#else
    __Pyx_Py_XDECREF_SET(
        ((PyCMethodObject *) (f))->mm_class,
        (PyTypeObject*)((classobj) ? __Pyx_NewRef(classobj) : NULL));
#endif
}
static PyObject *
__Pyx_CyFunction_get_doc(__pyx_CyFunctionObject *op, void *closure)
{
    CYTHON_UNUSED_VAR(closure);
    if (unlikely(op->func_doc == NULL)) {
#if CYTHON_COMPILING_IN_LIMITED_API
        op->func_doc = PyObject_GetAttrString(op->func, "__doc__");
        if (unlikely(!op->func_doc)) return NULL;
#else
        if (((PyCFunctionObject*)op)->m_ml->ml_doc) {
#if PY_MAJOR_VERSION >= 3
            op->func_doc = PyUnicode_FromString(((PyCFunctionObject*)op)->m_ml->ml_doc);
#else
            op->func_doc = PyString_FromString(((PyCFunctionObject*)op)->m_ml->ml_doc);
#endif
            if (unlikely(op->func_doc == NULL))
                return NULL;
        } else {
            Py_INCREF(Py_None);
            return Py_None;
        }
#endif
    }
    Py_INCREF(op->func_doc);
    return op->func_doc;
}
static int
__Pyx_CyFunction_set_doc(__pyx_CyFunctionObject *op, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
    if (value == NULL) {
        value = Py_None;
    }
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(op->func_doc, value);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_name(__pyx_CyFunctionObject *op, void *context)
{
    CYTHON_UNUSED_VAR(context);
    if (unlikely(op->func_name == NULL)) {
#if CYTHON_COMPILING_IN_LIMITED_API
        op->func_name = PyObject_GetAttrString(op->func, "__name__");
#elif PY_MAJOR_VERSION >= 3
        op->func_name = PyUnicode_InternFromString(((PyCFunctionObject*)op)->m_ml->ml_name);
#else
        op->func_name = PyString_InternFromString(((PyCFunctionObject*)op)->m_ml->ml_name);
#endif
        if (unlikely(op->func_name == NULL))
            return NULL;
    }
    Py_INCREF(op->func_name);
    return op->func_name;
}
static int
__Pyx_CyFunction_set_name(__pyx_CyFunctionObject *op, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
#if PY_MAJOR_VERSION >= 3
    if (unlikely(value == NULL || !PyUnicode_Check(value)))
#else
    if (unlikely(value == NULL || !PyString_Check(value)))
#endif
    {
        PyErr_SetString(PyExc_TypeError,
                        "__name__ must be set to a string object");
        return -1;
    }
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(op->func_name, value);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_qualname(__pyx_CyFunctionObject *op, void *context)
{
    CYTHON_UNUSED_VAR(context);
    Py_INCREF(op->func_qualname);
    return op->func_qualname;
}
static int
__Pyx_CyFunction_set_qualname(__pyx_CyFunctionObject *op, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
#if PY_MAJOR_VERSION >= 3
    if (unlikely(value == NULL || !PyUnicode_Check(value)))
#else
    if (unlikely(value == NULL || !PyString_Check(value)))
#endif
    {
        PyErr_SetString(PyExc_TypeError,
                        "__qualname__ must be set to a string object");
        return -1;
    }
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(op->func_qualname, value);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_dict(__pyx_CyFunctionObject *op, void *context)
{
    CYTHON_UNUSED_VAR(context);
    if (unlikely(op->func_dict == NULL)) {
        op->func_dict = PyDict_New();
        if (unlikely(op->func_dict == NULL))
            return NULL;
    }
    Py_INCREF(op->func_dict);
    return op->func_dict;
}
static int
__Pyx_CyFunction_set_dict(__pyx_CyFunctionObject *op, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
    if (unlikely(value == NULL)) {
        PyErr_SetString(PyExc_TypeError,
               "function's dictionary may not be deleted");
        return -1;
    }
    if (unlikely(!PyDict_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
               "setting function's dictionary to a non-dict");
        return -1;
    }
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(op->func_dict, value);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_globals(__pyx_CyFunctionObject *op, void *context)
{
    CYTHON_UNUSED_VAR(context);
    Py_INCREF(op->func_globals);
    return op->func_globals;
}
static PyObject *
__Pyx_CyFunction_get_closure(__pyx_CyFunctionObject *op, void *context)
{
    CYTHON_UNUSED_VAR(op);
    CYTHON_UNUSED_VAR(context);
    Py_INCREF(Py_None);
    return Py_None;
}
static PyObject *
__Pyx_CyFunction_get_code(__pyx_CyFunctionObject *op, void *context)
{
    PyObject* result = (op->func_code) ? op->func_code : Py_None;
    CYTHON_UNUSED_VAR(context);
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_init_defaults(__pyx_CyFunctionObject *op) {
    int result = 0;
    PyObject *res = op->defaults_getter((PyObject *) op);
    if (unlikely(!res))
        return -1;
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    op->defaults_tuple = PyTuple_GET_ITEM(res, 0);
    Py_INCREF(op->defaults_tuple);
    op->defaults_kwdict = PyTuple_GET_ITEM(res, 1);
    Py_INCREF(op->defaults_kwdict);
    #else
    op->defaults_tuple = __Pyx_PySequence_ITEM(res, 0);
    if (unlikely(!op->defaults_tuple)) result = -1;
    else {
        op->defaults_kwdict = __Pyx_PySequence_ITEM(res, 1);
        if (unlikely(!op->defaults_kwdict)) result = -1;
    }
    #endif
    Py_DECREF(res);
    return result;
}
static int
__Pyx_CyFunction_set_defaults(__pyx_CyFunctionObject *op, PyObject* value, void *context) {
    CYTHON_UNUSED_VAR(context);
    if (!value) {
        value = Py_None;
    } else if (unlikely(value != Py_None && !PyTuple_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__defaults__ must be set to a tuple object");
        return -1;
    }
    PyErr_WarnEx(PyExc_RuntimeWarning, "changes to cyfunction.__defaults__ will not "
                 "currently affect the values used in function calls", 1);
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(op->defaults_tuple, value);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_defaults(__pyx_CyFunctionObject *op, void *context) {
    PyObject* result = op->defaults_tuple;
    CYTHON_UNUSED_VAR(context);
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (unlikely(__Pyx_CyFunction_init_defaults(op) < 0)) return NULL;
            result = op->defaults_tuple;
        } else {
            result = Py_None;
        }
    }
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_set_kwdefaults(__pyx_CyFunctionObject *op, PyObject* value, void *context) {
    CYTHON_UNUSED_VAR(context);
    if (!value) {
        value = Py_None;
    } else if (unlikely(value != Py_None && !PyDict_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__kwdefaults__ must be set to a dict object");
        return -1;
    }
    PyErr_WarnEx(PyExc_RuntimeWarning, "changes to cyfunction.__kwdefaults__ will not "
                 "currently affect the values used in function calls", 1);
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(op->defaults_kwdict, value);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_kwdefaults(__pyx_CyFunctionObject *op, void *context) {
    PyObject* result = op->defaults_kwdict;
    CYTHON_UNUSED_VAR(context);
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (unlikely(__Pyx_CyFunction_init_defaults(op) < 0)) return NULL;
            result = op->defaults_kwdict;
        } else {
            result = Py_None;
        }
    }
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_set_annotations(__pyx_CyFunctionObject *op, PyObject* value, void *context) {
    CYTHON_UNUSED_VAR(context);
    if (!value || value == Py_None) {
        value = NULL;
    } else if (unlikely(!PyDict_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__annotations__ must be set to a dict object");
        return -1;
    }
    Py_XINCREF(value);
    __Pyx_Py_XDECREF_SET(op->func_annotations, value);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_annotations(__pyx_CyFunctionObject *op, void *context) {
    PyObject* result = op->func_annotations;
    CYTHON_UNUSED_VAR(context);
    if (unlikely(!result)) {
        result = PyDict_New();
        if (unlikely(!result)) return NULL;
        op->func_annotations = result;
    }
    Py_INCREF(result);
    return result;
}
static PyObject *
__Pyx_CyFunction_get_is_coroutine(__pyx_CyFunctionObject *op, void *context) {
    int is_coroutine;
    CYTHON_UNUSED_VAR(context);
    if (op->func_is_coroutine) {
        return __Pyx_NewRef(op->func_is_coroutine);
    }
    is_coroutine = op->flags & __Pyx_CYFUNCTION_COROUTINE;
#if PY_VERSION_HEX >= 0x03050000
    if (is_coroutine) {
        PyObject *module, *fromlist, *marker = __pyx_n_s_is_coroutine;
        fromlist = PyList_New(1);
        if (unlikely(!fromlist)) return NULL;
        Py_INCREF(marker);
#if CYTHON_ASSUME_SAFE_MACROS
        PyList_SET_ITEM(fromlist, 0, marker);
#else
        if (unlikely(PyList_SetItem(fromlist, 0, marker) < 0)) {
            Py_DECREF(marker);
            Py_DECREF(fromlist);
            return NULL;
        }
#endif
        module = PyImport_ImportModuleLevelObject(__pyx_n_s_asyncio_coroutines, NULL, NULL, fromlist, 0);
        Py_DECREF(fromlist);
        if (unlikely(!module)) goto ignore;
        op->func_is_coroutine = __Pyx_PyObject_GetAttrStr(module, marker);
        Py_DECREF(module);
        if (likely(op->func_is_coroutine)) {
            return __Pyx_NewRef(op->func_is_coroutine);
        }
ignore:
        PyErr_Clear();
    }
#endif
    op->func_is_coroutine = __Pyx_PyBool_FromLong(is_coroutine);
    return __Pyx_NewRef(op->func_is_coroutine);
}
#if CYTHON_COMPILING_IN_LIMITED_API
static PyObject *
__Pyx_CyFunction_get_module(__pyx_CyFunctionObject *op, void *context) {
    CYTHON_UNUSED_VAR(context);
    return PyObject_GetAttrString(op->func, "__module__");
}
static int
__Pyx_CyFunction_set_module(__pyx_CyFunctionObject *op, PyObject* value, void *context) {
    CYTHON_UNUSED_VAR(context);
    return PyObject_SetAttrString(op->func, "__module__", value);
}
#endif
static PyGetSetDef __pyx_CyFunction_getsets[] = {
    {(char *) "func_doc", (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {(char *) "__doc__",  (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {(char *) "func_name", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {(char *) "__name__", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {(char *) "__qualname__", (getter)__Pyx_CyFunction_get_qualname, (setter)__Pyx_CyFunction_set_qualname, 0, 0},
    {(char *) "func_dict", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},
    {(char *) "__dict__", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},
    {(char *) "func_globals", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {(char *) "__globals__", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {(char *) "func_closure", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {(char *) "__closure__", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {(char *) "func_code", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {(char *) "__code__", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {(char *) "func_defaults", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {(char *) "__defaults__", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {(char *) "__kwdefaults__", (getter)__Pyx_CyFunction_get_kwdefaults, (setter)__Pyx_CyFunction_set_kwdefaults, 0, 0},
    {(char *) "__annotations__", (getter)__Pyx_CyFunction_get_annotations, (setter)__Pyx_CyFunction_set_annotations, 0, 0},
    {(char *) "_is_coroutine", (getter)__Pyx_CyFunction_get_is_coroutine, 0, 0, 0},
#if CYTHON_COMPILING_IN_LIMITED_API
    {"__module__", (getter)__Pyx_CyFunction_get_module, (setter)__Pyx_CyFunction_set_module, 0, 0},
#endif
    {0, 0, 0, 0, 0}
};
static PyMemberDef __pyx_CyFunction_members[] = {
#if !CYTHON_COMPILING_IN_LIMITED_API
    {(char *) "__module__", T_OBJECT, offsetof(PyCFunctionObject, m_module), 0, 0},
#endif
#if CYTHON_USE_TYPE_SPECS
    {(char *) "__dictoffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_dict), READONLY, 0},
#if CYTHON_METH_FASTCALL
#if CYTHON_BACKPORT_VECTORCALL
    {(char *) "__vectorcalloffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_vectorcall), READONLY, 0},
#else
#if !CYTHON_COMPILING_IN_LIMITED_API
    {(char *) "__vectorcalloffset__", T_PYSSIZET, offsetof(PyCFunctionObject, vectorcall), READONLY, 0},
#endif
#endif
#endif
#if PY_VERSION_HEX < 0x030500A0 || CYTHON_COMPILING_IN_LIMITED_API
    {(char *) "__weaklistoffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_weakreflist), READONLY, 0},
#else
    {(char *) "__weaklistoffset__", T_PYSSIZET, offsetof(PyCFunctionObject, m_weakreflist), READONLY, 0},
#endif
#endif
    {0, 0, 0,  0, 0}
};
static PyObject *
__Pyx_CyFunction_reduce(__pyx_CyFunctionObject *m, PyObject *args)
{
    CYTHON_UNUSED_VAR(args);
#if PY_MAJOR_VERSION >= 3
    Py_INCREF(m->func_qualname);
    return m->func_qualname;
#else
    return PyString_FromString(((PyCFunctionObject*)m)->m_ml->ml_name);
#endif
}
static PyMethodDef __pyx_CyFunction_methods[] = {
    {"__reduce__", (PyCFunction)__Pyx_CyFunction_reduce, METH_VARARGS, 0},
    {0, 0, 0, 0}
};
#if PY_VERSION_HEX < 0x030500A0 || CYTHON_COMPILING_IN_LIMITED_API
#define __Pyx_CyFunction_weakreflist(cyfunc) ((cyfunc)->func_weakreflist)
#else
#define __Pyx_CyFunction_weakreflist(cyfunc) (((PyCFunctionObject*)cyfunc)->m_weakreflist)
#endif
static PyObject *__Pyx_CyFunction_Init(__pyx_CyFunctionObject *op, PyMethodDef *ml, int flags, PyObject* qualname,
                                       PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {
#if !CYTHON_COMPILING_IN_LIMITED_API
    PyCFunctionObject *cf = (PyCFunctionObject*) op;
#endif
    if (unlikely(op == NULL))
        return NULL;
#if CYTHON_COMPILING_IN_LIMITED_API
    op->func = PyCFunction_NewEx(ml, (PyObject*)op, module);
    if (unlikely(!op->func)) return NULL;
#endif
    op->flags = flags;
    __Pyx_CyFunction_weakreflist(op) = NULL;
#if !CYTHON_COMPILING_IN_LIMITED_API
    cf->m_ml = ml;
    cf->m_self = (PyObject *) op;
#endif
    Py_XINCREF(closure);
    op->func_closure = closure;
#if !CYTHON_COMPILING_IN_LIMITED_API
    Py_XINCREF(module);
    cf->m_module = module;
#endif
    op->func_dict = NULL;
    op->func_name = NULL;
    Py_INCREF(qualname);
    op->func_qualname = qualname;
    op->func_doc = NULL;
#if PY_VERSION_HEX < 0x030900B1 || CYTHON_COMPILING_IN_LIMITED_API
    op->func_classobj = NULL;
#else
    ((PyCMethodObject*)op)->mm_class = NULL;
#endif
    op->func_globals = globals;
    Py_INCREF(op->func_globals);
    Py_XINCREF(code);
    op->func_code = code;
    op->defaults_pyobjects = 0;
    op->defaults_size = 0;
    op->defaults = NULL;
    op->defaults_tuple = NULL;
    op->defaults_kwdict = NULL;
    op->defaults_getter = NULL;
    op->func_annotations = NULL;
    op->func_is_coroutine = NULL;
#if CYTHON_METH_FASTCALL
    switch (ml->ml_flags & (METH_VARARGS | METH_FASTCALL | METH_NOARGS | METH_O | METH_KEYWORDS | METH_METHOD)) {
    case METH_NOARGS:
        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_NOARGS;
        break;
    case METH_O:
        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_O;
        break;
    case METH_METHOD | METH_FASTCALL | METH_KEYWORDS:
        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS_METHOD;
        break;
    case METH_FASTCALL | METH_KEYWORDS:
        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS;
        break;
    case METH_VARARGS | METH_KEYWORDS:
        __Pyx_CyFunction_func_vectorcall(op) = NULL;
        break;
    default:
        PyErr_SetString(PyExc_SystemError, "Bad call flags for CyFunction");
        Py_DECREF(op);
        return NULL;
    }
#endif
    return (PyObject *) op;
}
static int
__Pyx_CyFunction_clear(__pyx_CyFunctionObject *m)
{
    Py_CLEAR(m->func_closure);
#if CYTHON_COMPILING_IN_LIMITED_API
    Py_CLEAR(m->func);
#else
    Py_CLEAR(((PyCFunctionObject*)m)->m_module);
#endif
    Py_CLEAR(m->func_dict);
    Py_CLEAR(m->func_name);
    Py_CLEAR(m->func_qualname);
    Py_CLEAR(m->func_doc);
    Py_CLEAR(m->func_globals);
    Py_CLEAR(m->func_code);
#if !CYTHON_COMPILING_IN_LIMITED_API
#if PY_VERSION_HEX < 0x030900B1
    Py_CLEAR(__Pyx_CyFunction_GetClassObj(m));
#else
    {
        PyObject *cls = (PyObject*) ((PyCMethodObject *) (m))->mm_class;
        ((PyCMethodObject *) (m))->mm_class = NULL;
        Py_XDECREF(cls);
    }
#endif
#endif
    Py_CLEAR(m->defaults_tuple);
    Py_CLEAR(m->defaults_kwdict);
    Py_CLEAR(m->func_annotations);
    Py_CLEAR(m->func_is_coroutine);
    if (m->defaults) {
        PyObject **pydefaults = __Pyx_CyFunction_Defaults(PyObject *, m);
        int i;
        for (i = 0; i < m->defaults_pyobjects; i++)
            Py_XDECREF(pydefaults[i]);
        PyObject_Free(m->defaults);
        m->defaults = NULL;
    }
    return 0;
}
static void __Pyx__CyFunction_dealloc(__pyx_CyFunctionObject *m)
{
    if (__Pyx_CyFunction_weakreflist(m) != NULL)
        PyObject_ClearWeakRefs((PyObject *) m);
    __Pyx_CyFunction_clear(m);
    __Pyx_PyHeapTypeObject_GC_Del(m);
}
static void __Pyx_CyFunction_dealloc(__pyx_CyFunctionObject *m)
{
    PyObject_GC_UnTrack(m);
    __Pyx__CyFunction_dealloc(m);
}
static int __Pyx_CyFunction_traverse(__pyx_CyFunctionObject *m, visitproc visit, void *arg)
{
    Py_VISIT(m->func_closure);
#if CYTHON_COMPILING_IN_LIMITED_API
    Py_VISIT(m->func);
#else
    Py_VISIT(((PyCFunctionObject*)m)->m_module);
#endif
    Py_VISIT(m->func_dict);
    Py_VISIT(m->func_name);
    Py_VISIT(m->func_qualname);
    Py_VISIT(m->func_doc);
    Py_VISIT(m->func_globals);
    Py_VISIT(m->func_code);
#if !CYTHON_COMPILING_IN_LIMITED_API
    Py_VISIT(__Pyx_CyFunction_GetClassObj(m));
#endif
    Py_VISIT(m->defaults_tuple);
    Py_VISIT(m->defaults_kwdict);
    Py_VISIT(m->func_is_coroutine);
    if (m->defaults) {
        PyObject **pydefaults = __Pyx_CyFunction_Defaults(PyObject *, m);
        int i;
        for (i = 0; i < m->defaults_pyobjects; i++)
            Py_VISIT(pydefaults[i]);
    }
    return 0;
}
static PyObject*
__Pyx_CyFunction_repr(__pyx_CyFunctionObject *op)
{
#if PY_MAJOR_VERSION >= 3
    return PyUnicode_FromFormat("<cyfunction %U at %p>",
                                op->func_qualname, (void *)op);
#else
    return PyString_FromFormat("<cyfunction %s at %p>",
                               PyString_AsString(op->func_qualname), (void *)op);
#endif
}
static PyObject * __Pyx_CyFunction_CallMethod(PyObject *func, PyObject *self, PyObject *arg, PyObject *kw) {
#if CYTHON_COMPILING_IN_LIMITED_API
    PyObject *f = ((__pyx_CyFunctionObject*)func)->func;
    PyObject *py_name = NULL;
    PyCFunction meth;
    int flags;
    meth = PyCFunction_GetFunction(f);
    if (unlikely(!meth)) return NULL;
    flags = PyCFunction_GetFlags(f);
    if (unlikely(flags < 0)) return NULL;
#else
    PyCFunctionObject* f = (PyCFunctionObject*)func;
    PyCFunction meth = f->m_ml->ml_meth;
    int flags = f->m_ml->ml_flags;
#endif
    Py_ssize_t size;
    switch (flags & (METH_VARARGS | METH_KEYWORDS | METH_NOARGS | METH_O)) {
    case METH_VARARGS:
        if (likely(kw == NULL || PyDict_Size(kw) == 0))
            return (*meth)(self, arg);
        break;
    case METH_VARARGS | METH_KEYWORDS:
        return (*(PyCFunctionWithKeywords)(void*)meth)(self, arg, kw);
    case METH_NOARGS:
        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
#if CYTHON_ASSUME_SAFE_MACROS
            size = PyTuple_GET_SIZE(arg);
#else
            size = PyTuple_Size(arg);
            if (unlikely(size < 0)) return NULL;
#endif
            if (likely(size == 0))
                return (*meth)(self, NULL);
#if CYTHON_COMPILING_IN_LIMITED_API
            py_name = __Pyx_CyFunction_get_name((__pyx_CyFunctionObject*)func, NULL);
            if (!py_name) return NULL;
            PyErr_Format(PyExc_TypeError,
                "%.200S() takes no arguments (%" CYTHON_FORMAT_SSIZE_T "d given)",
                py_name, size);
            Py_DECREF(py_name);
#else
            PyErr_Format(PyExc_TypeError,
                "%.200s() takes no arguments (%" CYTHON_FORMAT_SSIZE_T "d given)",
                f->m_ml->ml_name, size);
#endif
            return NULL;
        }
        break;
    case METH_O:
        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
#if CYTHON_ASSUME_SAFE_MACROS
            size = PyTuple_GET_SIZE(arg);
#else
            size = PyTuple_Size(arg);
            if (unlikely(size < 0)) return NULL;
#endif
            if (likely(size == 1)) {
                PyObject *result, *arg0;
                #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
                arg0 = PyTuple_GET_ITEM(arg, 0);
                #else
                arg0 = __Pyx_PySequence_ITEM(arg, 0); if (unlikely(!arg0)) return NULL;
                #endif
                result = (*meth)(self, arg0);
                #if !(CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)
                Py_DECREF(arg0);
                #endif
                return result;
            }
#if CYTHON_COMPILING_IN_LIMITED_API
            py_name = __Pyx_CyFunction_get_name((__pyx_CyFunctionObject*)func, NULL);
            if (!py_name) return NULL;
            PyErr_Format(PyExc_TypeError,
                "%.200S() takes exactly one argument (%" CYTHON_FORMAT_SSIZE_T "d given)",
                py_name, size);
            Py_DECREF(py_name);
#else
            PyErr_Format(PyExc_TypeError,
                "%.200s() takes exactly one argument (%" CYTHON_FORMAT_SSIZE_T "d given)",
                f->m_ml->ml_name, size);
#endif
            return NULL;
        }
        break;
    default:
        PyErr_SetString(PyExc_SystemError, "Bad call flags for CyFunction");
        return NULL;
    }
#if CYTHON_COMPILING_IN_LIMITED_API
    py_name = __Pyx_CyFunction_get_name((__pyx_CyFunctionObject*)func, NULL);
    if (!py_name) return NULL;
    PyErr_Format(PyExc_TypeError, "%.200S() takes no keyword arguments",
                 py_name);
    Py_DECREF(py_name);
#else
    PyErr_Format(PyExc_TypeError, "%.200s() takes no keyword arguments",
                 f->m_ml->ml_name);
#endif
    return NULL;
}
static CYTHON_INLINE PyObject *__Pyx_CyFunction_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    PyObject *self, *result;
#if CYTHON_COMPILING_IN_LIMITED_API
    self = PyCFunction_GetSelf(((__pyx_CyFunctionObject*)func)->func);
    if (unlikely(!self) && PyErr_Occurred()) return NULL;
#else
    self = ((PyCFunctionObject*)func)->m_self;
#endif
    result = __Pyx_CyFunction_CallMethod(func, self, arg, kw);
    return result;
}
static PyObject *__Pyx_CyFunction_CallAsMethod(PyObject *func, PyObject *args, PyObject *kw) {
    PyObject *result;
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *) func;
#if CYTHON_METH_FASTCALL
     __pyx_vectorcallfunc vc = __Pyx_CyFunction_func_vectorcall(cyfunc);
    if (vc) {
#if CYTHON_ASSUME_SAFE_MACROS
        return __Pyx_PyVectorcall_FastCallDict(func, vc, &PyTuple_GET_ITEM(args, 0), (size_t)PyTuple_GET_SIZE(args), kw);
#else
        (void) &__Pyx_PyVectorcall_FastCallDict;
        return PyVectorcall_Call(func, args, kw);
#endif
    }
#endif
    if ((cyfunc->flags & __Pyx_CYFUNCTION_CCLASS) && !(cyfunc->flags & __Pyx_CYFUNCTION_STATICMETHOD)) {
        Py_ssize_t argc;
        PyObject *new_args;
        PyObject *self;
#if CYTHON_ASSUME_SAFE_MACROS
        argc = PyTuple_GET_SIZE(args);
#else
        argc = PyTuple_Size(args);
        if (unlikely(!argc) < 0) return NULL;
#endif
        new_args = PyTuple_GetSlice(args, 1, argc);
        if (unlikely(!new_args))
            return NULL;
        self = PyTuple_GetItem(args, 0);
        if (unlikely(!self)) {
            Py_DECREF(new_args);
#if PY_MAJOR_VERSION > 2
            PyErr_Format(PyExc_TypeError,
                         "unbound method %.200S() needs an argument",
                         cyfunc->func_qualname);
#else
            PyErr_SetString(PyExc_TypeError,
                            "unbound method needs an argument");
#endif
            return NULL;
        }
        result = __Pyx_CyFunction_CallMethod(func, self, new_args, kw);
        Py_DECREF(new_args);
    } else {
        result = __Pyx_CyFunction_Call(func, args, kw);
    }
    return result;
}
#if CYTHON_METH_FASTCALL
static CYTHON_INLINE int __Pyx_CyFunction_Vectorcall_CheckArgs(__pyx_CyFunctionObject *cyfunc, Py_ssize_t nargs, PyObject *kwnames)
{
    int ret = 0;
    if ((cyfunc->flags & __Pyx_CYFUNCTION_CCLASS) && !(cyfunc->flags & __Pyx_CYFUNCTION_STATICMETHOD)) {
        if (unlikely(nargs < 1)) {
            PyErr_Format(PyExc_TypeError, "%.200s() needs an argument",
                         ((PyCFunctionObject*)cyfunc)->m_ml->ml_name);
            return -1;
        }
        ret = 1;
    }
    if (unlikely(kwnames) && unlikely(PyTuple_GET_SIZE(kwnames))) {
        PyErr_Format(PyExc_TypeError,
                     "%.200s() takes no keyword arguments", ((PyCFunctionObject*)cyfunc)->m_ml->ml_name);
        return -1;
    }
    return ret;
}
static PyObject * __Pyx_CyFunction_Vectorcall_NOARGS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
{
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *)func;
    PyMethodDef* def = ((PyCFunctionObject*)cyfunc)->m_ml;
#if CYTHON_BACKPORT_VECTORCALL
    Py_ssize_t nargs = (Py_ssize_t)nargsf;
#else
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
#endif
    PyObject *self;
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, kwnames)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
        self = ((PyCFunctionObject*)cyfunc)->m_self;
        break;
    default:
        return NULL;
    }
    if (unlikely(nargs != 0)) {
        PyErr_Format(PyExc_TypeError,
            "%.200s() takes no arguments (%" CYTHON_FORMAT_SSIZE_T "d given)",
            def->ml_name, nargs);
        return NULL;
    }
    return def->ml_meth(self, NULL);
}
static PyObject * __Pyx_CyFunction_Vectorcall_O(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
{
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *)func;
    PyMethodDef* def = ((PyCFunctionObject*)cyfunc)->m_ml;
#if CYTHON_BACKPORT_VECTORCALL
    Py_ssize_t nargs = (Py_ssize_t)nargsf;
#else
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
#endif
    PyObject *self;
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, kwnames)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
        self = ((PyCFunctionObject*)cyfunc)->m_self;
        break;
    default:
        return NULL;
    }
    if (unlikely(nargs != 1)) {
        PyErr_Format(PyExc_TypeError,
            "%.200s() takes exactly one argument (%" CYTHON_FORMAT_SSIZE_T "d given)",
            def->ml_name, nargs);
        return NULL;
    }
    return def->ml_meth(self, args[0]);
}
static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
{
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *)func;
    PyMethodDef* def = ((PyCFunctionObject*)cyfunc)->m_ml;
#if CYTHON_BACKPORT_VECTORCALL
    Py_ssize_t nargs = (Py_ssize_t)nargsf;
#else
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
#endif
    PyObject *self;
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, NULL)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
        self = ((PyCFunctionObject*)cyfunc)->m_self;
        break;
    default:
        return NULL;
    }
    return ((_PyCFunctionFastWithKeywords)(void(*)(void))def->ml_meth)(self, args, nargs, kwnames);
}
static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS_METHOD(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
{
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *)func;
    PyMethodDef* def = ((PyCFunctionObject*)cyfunc)->m_ml;
    PyTypeObject *cls = (PyTypeObject *) __Pyx_CyFunction_GetClassObj(cyfunc);
#if CYTHON_BACKPORT_VECTORCALL
    Py_ssize_t nargs = (Py_ssize_t)nargsf;
#else
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
#endif
    PyObject *self;
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, NULL)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
        self = ((PyCFunctionObject*)cyfunc)->m_self;
        break;
    default:
        return NULL;
    }
    return ((__Pyx_PyCMethod)(void(*)(void))def->ml_meth)(self, cls, args, (size_t)nargs, kwnames);
}
#endif
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_CyFunctionType_slots[] = {
    {Py_tp_dealloc, (void *)__Pyx_CyFunction_dealloc},
    {Py_tp_repr, (void *)__Pyx_CyFunction_repr},
    {Py_tp_call, (void *)__Pyx_CyFunction_CallAsMethod},
    {Py_tp_traverse, (void *)__Pyx_CyFunction_traverse},
    {Py_tp_clear, (void *)__Pyx_CyFunction_clear},
    {Py_tp_methods, (void *)__pyx_CyFunction_methods},
    {Py_tp_members, (void *)__pyx_CyFunction_members},
    {Py_tp_getset, (void *)__pyx_CyFunction_getsets},
    {Py_tp_descr_get, (void *)__Pyx_PyMethod_New},
    {0, 0},
};
static PyType_Spec __pyx_CyFunctionType_spec = {
    __PYX_TYPE_MODULE_PREFIX "cython_function_or_method",
    sizeof(__pyx_CyFunctionObject),
    0,
#ifdef Py_TPFLAGS_METHOD_DESCRIPTOR
    Py_TPFLAGS_METHOD_DESCRIPTOR |
#endif
#if (defined(_Py_TPFLAGS_HAVE_VECTORCALL) && CYTHON_METH_FASTCALL)
    _Py_TPFLAGS_HAVE_VECTORCALL |
#endif
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_BASETYPE,
    __pyx_CyFunctionType_slots
};
#else
static PyTypeObject __pyx_CyFunctionType_type = {
    PyVarObject_HEAD_INIT(0, 0)
    __PYX_TYPE_MODULE_PREFIX "cython_function_or_method",
    sizeof(__pyx_CyFunctionObject),
    0,
    (destructor) __Pyx_CyFunction_dealloc,
#if !CYTHON_METH_FASTCALL
    0,
#elif CYTHON_BACKPORT_VECTORCALL
    (printfunc)offsetof(__pyx_CyFunctionObject, func_vectorcall),
#else
    offsetof(PyCFunctionObject, vectorcall),
#endif
    0,
    0,
#if PY_MAJOR_VERSION < 3
    0,
#else
    0,
#endif
    (reprfunc) __Pyx_CyFunction_repr,
    0,
    0,
    0,
    0,
    __Pyx_CyFunction_CallAsMethod,
    0,
    0,
    0,
    0,
#ifdef Py_TPFLAGS_METHOD_DESCRIPTOR
    Py_TPFLAGS_METHOD_DESCRIPTOR |
#endif
#if defined(_Py_TPFLAGS_HAVE_VECTORCALL) && CYTHON_METH_FASTCALL
    _Py_TPFLAGS_HAVE_VECTORCALL |
#endif
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_BASETYPE,
    0,
    (traverseproc) __Pyx_CyFunction_traverse,
    (inquiry) __Pyx_CyFunction_clear,
    0,
#if PY_VERSION_HEX < 0x030500A0
    offsetof(__pyx_CyFunctionObject, func_weakreflist),
#else
    offsetof(PyCFunctionObject, m_weakreflist),
#endif
    0,
    0,
    __pyx_CyFunction_methods,
    __pyx_CyFunction_members,
    __pyx_CyFunction_getsets,
    0,
    0,
    __Pyx_PyMethod_New,
    0,
    offsetof(__pyx_CyFunctionObject, func_dict),
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
#if PY_VERSION_HEX >= 0x030400a1
    0,
#endif
#if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
    0,
#endif
#if __PYX_NEED_TP_PRINT_SLOT
    0,
#endif
#if PY_VERSION_HEX >= 0x030C0000
    0,
#endif
#if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
    0,
#endif
};
#endif
static int __pyx_CyFunction_init(PyObject *module) {
#if CYTHON_USE_TYPE_SPECS
    __pyx_CyFunctionType = __Pyx_FetchCommonTypeFromSpec(module, &__pyx_CyFunctionType_spec, NULL);
#else
    CYTHON_UNUSED_VAR(module);
    __pyx_CyFunctionType = __Pyx_FetchCommonType(&__pyx_CyFunctionType_type);
#endif
    if (unlikely(__pyx_CyFunctionType == NULL)) {
        return -1;
    }
    return 0;
}
static CYTHON_INLINE void *__Pyx_CyFunction_InitDefaults(PyObject *func, size_t size, int pyobjects) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults = PyObject_Malloc(size);
    if (unlikely(!m->defaults))
        return PyErr_NoMemory();
    memset(m->defaults, 0, size);
    m->defaults_pyobjects = pyobjects;
    m->defaults_size = size;
    return m->defaults;
}
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *func, PyObject *tuple) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults_tuple = tuple;
    Py_INCREF(tuple);
}
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *func, PyObject *dict) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults_kwdict = dict;
    Py_INCREF(dict);
}
static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *func, PyObject *dict) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->func_annotations = dict;
    Py_INCREF(dict);
}

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

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

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

/* AddTraceback */
#include "compile.h"
#include "frameobject.h"
#include "traceback.h"
#if PY_VERSION_HEX >= 0x030b00a6 && !CYTHON_COMPILING_IN_LIMITED_API
  #ifndef Py_BUILD_CORE
    #define Py_BUILD_CORE 1
  #endif
  #include "internal/pycore_frame.h"
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
static PyObject *__Pyx_PyCode_Replace_For_AddTraceback(PyObject *code, PyObject *scratch_dict,
                                                       PyObject *firstlineno, PyObject *name) {
    PyObject *replace = NULL;
    if (unlikely(PyDict_SetItemString(scratch_dict, "co_firstlineno", firstlineno))) return NULL;
    if (unlikely(PyDict_SetItemString(scratch_dict, "co_name", name))) return NULL;
    replace = PyObject_GetAttrString(code, "replace");
    if (likely(replace)) {
        PyObject *result;
        result = PyObject_Call(replace, __pyx_empty_tuple, scratch_dict);
        Py_DECREF(replace);
        return result;
    }
    PyErr_Clear();
    #if __PYX_LIMITED_VERSION_HEX < 0x030780000
    {
        PyObject *compiled = NULL, *result = NULL;
        if (unlikely(PyDict_SetItemString(scratch_dict, "code", code))) return NULL;
        if (unlikely(PyDict_SetItemString(scratch_dict, "type", (PyObject*)(&PyType_Type)))) return NULL;
        compiled = Py_CompileString(
            "out = type(code)(\n"
            "  code.co_argcount, code.co_kwonlyargcount, code.co_nlocals, code.co_stacksize,\n"
            "  code.co_flags, code.co_code, code.co_consts, code.co_names,\n"
            "  code.co_varnames, code.co_filename, co_name, co_firstlineno,\n"
            "  code.co_lnotab)\n", "<dummy>", Py_file_input);
        if (!compiled) return NULL;
        result = PyEval_EvalCode(compiled, scratch_dict, scratch_dict);
        Py_DECREF(compiled);
        if (!result) PyErr_Print();
        Py_DECREF(result);
        result = PyDict_GetItemString(scratch_dict, "out");
        if (result) Py_INCREF(result);
        return result;
    }
    #else
    return NULL;
    #endif
}
static void __Pyx_AddTraceback(const char *funcname, int c_line,
                               int py_line, const char *filename) {
    PyObject *code_object = NULL, *py_py_line = NULL, *py_funcname = NULL, *dict = NULL;
    PyObject *replace = NULL, *getframe = NULL, *frame = NULL;
    PyObject *exc_type, *exc_value, *exc_traceback;
    int success = 0;
    if (c_line) {
        (void) __pyx_cfilenm;
        (void) __Pyx_CLineForTraceback(__Pyx_PyThreadState_Current, c_line);
    }
    PyErr_Fetch(&exc_type, &exc_value, &exc_traceback);
    code_object = Py_CompileString("_getframe()", filename, Py_eval_input);
    if (unlikely(!code_object)) goto bad;
    py_py_line = PyLong_FromLong(py_line);
    if (unlikely(!py_py_line)) goto bad;
    py_funcname = PyUnicode_FromString(funcname);
    if (unlikely(!py_funcname)) goto bad;
    dict = PyDict_New();
    if (unlikely(!dict)) goto bad;
    {
        PyObject *old_code_object = code_object;
        code_object = __Pyx_PyCode_Replace_For_AddTraceback(code_object, dict, py_py_line, py_funcname);
        Py_DECREF(old_code_object);
    }
    if (unlikely(!code_object)) goto bad;
    getframe = PySys_GetObject("_getframe");
    if (unlikely(!getframe)) goto bad;
    if (unlikely(PyDict_SetItemString(dict, "_getframe", getframe))) goto bad;
    frame = PyEval_EvalCode(code_object, dict, dict);
    if (unlikely(!frame) || frame == Py_None) goto bad;
    success = 1;
  bad:
    PyErr_Restore(exc_type, exc_value, exc_traceback);
    Py_XDECREF(code_object);
    Py_XDECREF(py_py_line);
    Py_XDECREF(py_funcname);
    Py_XDECREF(dict);
    Py_XDECREF(replace);
    if (success) {
        PyTraceBack_Here(
            (struct _frame*)frame);
    }
    Py_XDECREF(frame);
}
#else
static PyCodeObject* __Pyx_CreateCodeObjectForTraceback(
            const char *funcname, int c_line,
            int py_line, const char *filename) {
    PyCodeObject *py_code = NULL;
    PyObject *py_funcname = NULL;
    #if PY_MAJOR_VERSION < 3
    PyObject *py_srcfile = NULL;
    py_srcfile = PyString_FromString(filename);
    if (!py_srcfile) goto bad;
    #endif
    if (c_line) {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        if (!py_funcname) goto bad;
        #else
        py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        if (!py_funcname) goto bad;
        funcname = PyUnicode_AsUTF8(py_funcname);
        if (!funcname) goto bad;
        #endif
    }
    else {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromString(funcname);
        if (!py_funcname) goto bad;
        #endif
    }
    #if PY_MAJOR_VERSION < 3
    py_code = __Pyx_PyCode_New(
        0,
        0,
        0,
        0,
        0,
        0,
        __pyx_empty_bytes, /*PyObject *code,*/
        __pyx_empty_tuple, /*PyObject *consts,*/
        __pyx_empty_tuple, /*PyObject *names,*/
        __pyx_empty_tuple, /*PyObject *varnames,*/
        __pyx_empty_tuple, /*PyObject *freevars,*/
        __pyx_empty_tuple, /*PyObject *cellvars,*/
        py_srcfile,   /*PyObject *filename,*/
        py_funcname,  /*PyObject *name,*/
        py_line,
        __pyx_empty_bytes  /*PyObject *lnotab*/
    );
    Py_DECREF(py_srcfile);
    #else
    py_code = PyCode_NewEmpty(filename, funcname, py_line);
    #endif
    Py_XDECREF(py_funcname);
    return py_code;
bad:
    Py_XDECREF(py_funcname);
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(py_srcfile);
    #endif
    return NULL;
}
static void __Pyx_AddTraceback(const char *funcname, int c_line,
                               int py_line, const char *filename) {
    PyCodeObject *py_code = 0;
    PyFrameObject *py_frame = 0;
    PyThreadState *tstate = __Pyx_PyThreadState_Current;
    PyObject *ptype, *pvalue, *ptraceback;
    if (c_line) {
        c_line = __Pyx_CLineForTraceback(tstate, c_line);
    }
    py_code = __pyx_find_code_object(c_line ? -c_line : py_line);
    if (!py_code) {
        __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);
        py_code = __Pyx_CreateCodeObjectForTraceback(
            funcname, c_line, py_line, filename);
        if (!py_code) {
            /* If the code object creation fails, then we should clear the
               fetched exception references and propagate the new exception */
            Py_XDECREF(ptype);
            Py_XDECREF(pvalue);
            Py_XDECREF(ptraceback);
            goto bad;
        }
        __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback);
        __pyx_insert_code_object(c_line ? -c_line : py_line, py_code);
    }
    py_frame = PyFrame_New(
        tstate,            /*PyThreadState *tstate,*/
        py_code,           /*PyCodeObject *code,*/
        __pyx_d,    /*PyObject *globals,*/
        0                  /*PyObject *locals*/
    );
    if (!py_frame) goto bad;
    __Pyx_PyFrame_SetLineNumber(py_frame, py_line);
    PyTraceBack_Here(py_frame);
bad:
    Py_XDECREF(py_code);
    Py_XDECREF(py_frame);
}
#endif

/* 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 int __Pyx_PyInt_As_int(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const int neg_one = (int) -1, const_zero = (int) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if ((sizeof(int) < sizeof(long))) {
            __PYX_VERIFY_RETURN_INT(int, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (int) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            if (unlikely(__Pyx_PyLong_IsNeg(x))) {
                goto raise_neg_overflow;
            } else if (__Pyx_PyLong_IsCompact(x)) {
                __PYX_VERIFY_RETURN_INT(int, __Pyx_compact_upylong, __Pyx_PyLong_CompactValueUnsigned(x))
            } else {
                const digit* digits = __Pyx_PyLong_Digits(x);
                assert(__Pyx_PyLong_DigitCount(x) > 1);
                switch (__Pyx_PyLong_DigitCount(x)) {
                    case 2:
                        if ((8 * sizeof(int) > 1 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(int) >= 2 * PyLong_SHIFT)) {
                                return (int) (((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                            }
                        }
                        break;
                    case 3:
                        if ((8 * sizeof(int) > 2 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(int) >= 3 * PyLong_SHIFT)) {
                                return (int) (((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                            }
                        }
                        break;
                    case 4:
                        if ((8 * sizeof(int) > 3 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(int) >= 4 * PyLong_SHIFT)) {
                                return (int) (((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                            }
                        }
                        break;
                }
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030C00A7
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
#else
            {
                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                if (unlikely(result < 0))
                    return (int) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if ((sizeof(int) <= sizeof(unsigned long))) {
                __PYX_VERIFY_RETURN_INT_EXC(int, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if ((sizeof(int) <= sizeof(unsigned PY_LONG_LONG))) {
                __PYX_VERIFY_RETURN_INT_EXC(int, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            if (__Pyx_PyLong_IsCompact(x)) {
                __PYX_VERIFY_RETURN_INT(int, __Pyx_compact_pylong, __Pyx_PyLong_CompactValue(x))
            } else {
                const digit* digits = __Pyx_PyLong_Digits(x);
                assert(__Pyx_PyLong_DigitCount(x) > 1);
                switch (__Pyx_PyLong_SignedDigitCount(x)) {
                    case -2:
                        if ((8 * sizeof(int) - 1 > 1 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(int) - 1 > 2 * PyLong_SHIFT)) {
                                return (int) (((int)-1)*(((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                            }
                        }
                        break;
                    case 2:
                        if ((8 * sizeof(int) > 1 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(int) - 1 > 2 * PyLong_SHIFT)) {
                                return (int) ((((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                            }
                        }
                        break;
                    case -3:
                        if ((8 * sizeof(int) - 1 > 2 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(int) - 1 > 3 * PyLong_SHIFT)) {
                                return (int) (((int)-1)*(((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                            }
                        }
                        break;
                    case 3:
                        if ((8 * sizeof(int) > 2 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(int) - 1 > 3 * PyLong_SHIFT)) {
                                return (int) ((((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                            }
                        }
                        break;
                    case -4:
                        if ((8 * sizeof(int) - 1 > 3 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(int) - 1 > 4 * PyLong_SHIFT)) {
                                return (int) (((int)-1)*(((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                            }
                        }
                        break;
                    case 4:
                        if ((8 * sizeof(int) > 3 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(int) - 1 > 4 * PyLong_SHIFT)) {
                                return (int) ((((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                            }
                        }
                        break;
                }
            }
#endif
            if ((sizeof(int) <= sizeof(long))) {
                __PYX_VERIFY_RETURN_INT_EXC(int, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if ((sizeof(int) <= sizeof(PY_LONG_LONG))) {
                __PYX_VERIFY_RETURN_INT_EXC(int, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
            int val;
            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
#if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
#endif
            if (likely(v)) {
                int ret = -1;
#if PY_VERSION_HEX < 0x030d0000 && !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API) || defined(_PyLong_AsByteArray)
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                ret = _PyLong_AsByteArray((PyLongObject *)v,
                                           bytes, sizeof(val),
                                           is_little, !is_unsigned);
#else
                PyObject *stepval = NULL, *mask = NULL, *shift = NULL;
                int bits, remaining_bits, is_negative = 0;
                long idigit;
                int chunk_size = (sizeof(long) < 8) ? 30 : 62;
                if (unlikely(!PyLong_CheckExact(v))) {
                    PyObject *tmp = v;
                    v = PyNumber_Long(v);
                    assert(PyLong_CheckExact(v));
                    Py_DECREF(tmp);
                    if (unlikely(!v)) return (int) -1;
                }
#if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030B0000
                if (Py_SIZE(x) == 0)
                    return (int) 0;
                is_negative = Py_SIZE(x) < 0;
#else
                {
                    int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                    if (unlikely(result < 0))
                        return (int) -1;
                    is_negative = result == 1;
                }
#endif
                if (is_unsigned && unlikely(is_negative)) {
                    goto raise_neg_overflow;
                } else if (is_negative) {
                    stepval = PyNumber_Invert(v);
                    if (unlikely(!stepval))
                        return (int) -1;
                } else {
                    stepval = __Pyx_NewRef(v);
                }
                val = (int) 0;
                mask = PyLong_FromLong((1L << chunk_size) - 1); if (unlikely(!mask)) goto done;
                shift = PyLong_FromLong(chunk_size); if (unlikely(!shift)) goto done;
                for (bits = 0; bits < (int) sizeof(int) * 8 - chunk_size; bits += chunk_size) {
                    PyObject *tmp, *digit;
                    digit = PyNumber_And(stepval, mask);
                    if (unlikely(!digit)) goto done;
                    idigit = PyLong_AsLong(digit);
                    Py_DECREF(digit);
                    if (unlikely(idigit < 0)) goto done;
                    tmp = PyNumber_Rshift(stepval, shift);
                    if (unlikely(!tmp)) goto done;
                    Py_DECREF(stepval); stepval = tmp;
                    val |= ((int) idigit) << bits;
                    #if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030B0000
                    if (Py_SIZE(stepval) == 0)
                        goto unpacking_done;
                    #endif
                }
                idigit = PyLong_AsLong(stepval);
                if (unlikely(idigit < 0)) goto done;
                remaining_bits = ((int) sizeof(int) * 8) - bits - (is_unsigned ? 0 : 1);
                if (unlikely(idigit >= (1L << remaining_bits)))
                    goto raise_overflow;
                val |= ((int) idigit) << bits;
            #if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030B0000
            unpacking_done:
            #endif
                if (!is_unsigned) {
                    if (unlikely(val & (((int) 1) << (sizeof(int) * 8 - 1))))
                        goto raise_overflow;
                    if (is_negative)
                        val = ~val;
                }
                ret = 0;
            done:
                Py_XDECREF(shift);
                Py_XDECREF(mask);
                Py_XDECREF(stepval);
#endif
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
            return (int) -1;
        }
    } else {
        int val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (int) -1;
        val = __Pyx_PyInt_As_int(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to int");
    return (int) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to int");
    return (int) -1;
}

/* CIntToPy */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value) {
#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 (is_unsigned) {
        if (sizeof(int) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(int) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(int) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
#if !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030d0000
        return _PyLong_FromByteArray(bytes, sizeof(int),
                                     little, !is_unsigned);
#else
        PyObject *from_bytes, *result = NULL;
        PyObject *py_bytes = NULL, *arg_tuple = NULL, *kwds = NULL, *order_str = NULL;
        from_bytes = PyObject_GetAttrString((PyObject*)&PyLong_Type, "from_bytes");
        if (!from_bytes) return NULL;
        py_bytes = PyBytes_FromStringAndSize((char*)bytes, sizeof(int));
        if (!py_bytes) goto limited_bad;
        order_str = PyUnicode_FromString(little ? "little" : "big");
        if (!order_str) goto limited_bad;
        arg_tuple = PyTuple_Pack(2, py_bytes, order_str);
        if (!arg_tuple) goto limited_bad;
        if (!is_unsigned) {
            kwds = PyDict_New();
            if (!kwds) goto limited_bad;
            if (PyDict_SetItemString(kwds, "signed", __Pyx_NewRef(Py_True))) goto limited_bad;
        }
        result = PyObject_Call(from_bytes, arg_tuple, kwds);
        limited_bad:
        Py_XDECREF(kwds);
        Py_XDECREF(arg_tuple);
        Py_XDECREF(order_str);
        Py_XDECREF(py_bytes);
        Py_XDECREF(from_bytes);
        return result;
#endif
    }
}

/* FormatTypeName */
#if CYTHON_COMPILING_IN_LIMITED_API
static __Pyx_TypeName
__Pyx_PyType_GetName(PyTypeObject* tp)
{
    PyObject *name = __Pyx_PyObject_GetAttrStr((PyObject *)tp,
                                               __pyx_n_s_name);
    if (unlikely(name == NULL) || unlikely(!PyUnicode_Check(name))) {
        PyErr_Clear();
        Py_XDECREF(name);
        name = __Pyx_NewRef(__pyx_n_s__113);
    }
    return name;
}
#endif

/* CIntToPy */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const long neg_one = (long) -1, const_zero = (long) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(long) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(long) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(long) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
#if !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030d0000
        return _PyLong_FromByteArray(bytes, sizeof(long),
                                     little, !is_unsigned);
#else
        PyObject *from_bytes, *result = NULL;
        PyObject *py_bytes = NULL, *arg_tuple = NULL, *kwds = NULL, *order_str = NULL;
        from_bytes = PyObject_GetAttrString((PyObject*)&PyLong_Type, "from_bytes");
        if (!from_bytes) return NULL;
        py_bytes = PyBytes_FromStringAndSize((char*)bytes, sizeof(long));
        if (!py_bytes) goto limited_bad;
        order_str = PyUnicode_FromString(little ? "little" : "big");
        if (!order_str) goto limited_bad;
        arg_tuple = PyTuple_Pack(2, py_bytes, order_str);
        if (!arg_tuple) goto limited_bad;
        if (!is_unsigned) {
            kwds = PyDict_New();
            if (!kwds) goto limited_bad;
            if (PyDict_SetItemString(kwds, "signed", __Pyx_NewRef(Py_True))) goto limited_bad;
        }
        result = PyObject_Call(from_bytes, arg_tuple, kwds);
        limited_bad:
        Py_XDECREF(kwds);
        Py_XDECREF(arg_tuple);
        Py_XDECREF(order_str);
        Py_XDECREF(py_bytes);
        Py_XDECREF(from_bytes);
        return result;
#endif
    }
}

/* CIntFromPy */
static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const long neg_one = (long) -1, const_zero = (long) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if ((sizeof(long) < sizeof(long))) {
            __PYX_VERIFY_RETURN_INT(long, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (long) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            if (unlikely(__Pyx_PyLong_IsNeg(x))) {
                goto raise_neg_overflow;
            } else if (__Pyx_PyLong_IsCompact(x)) {
                __PYX_VERIFY_RETURN_INT(long, __Pyx_compact_upylong, __Pyx_PyLong_CompactValueUnsigned(x))
            } else {
                const digit* digits = __Pyx_PyLong_Digits(x);
                assert(__Pyx_PyLong_DigitCount(x) > 1);
                switch (__Pyx_PyLong_DigitCount(x)) {
                    case 2:
                        if ((8 * sizeof(long) > 1 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(long) >= 2 * PyLong_SHIFT)) {
                                return (long) (((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                            }
                        }
                        break;
                    case 3:
                        if ((8 * sizeof(long) > 2 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(long) >= 3 * PyLong_SHIFT)) {
                                return (long) (((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                            }
                        }
                        break;
                    case 4:
                        if ((8 * sizeof(long) > 3 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(long) >= 4 * PyLong_SHIFT)) {
                                return (long) (((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                            }
                        }
                        break;
                }
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030C00A7
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
#else
            {
                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                if (unlikely(result < 0))
                    return (long) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if ((sizeof(long) <= sizeof(unsigned long))) {
                __PYX_VERIFY_RETURN_INT_EXC(long, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if ((sizeof(long) <= sizeof(unsigned PY_LONG_LONG))) {
                __PYX_VERIFY_RETURN_INT_EXC(long, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            if (__Pyx_PyLong_IsCompact(x)) {
                __PYX_VERIFY_RETURN_INT(long, __Pyx_compact_pylong, __Pyx_PyLong_CompactValue(x))
            } else {
                const digit* digits = __Pyx_PyLong_Digits(x);
                assert(__Pyx_PyLong_DigitCount(x) > 1);
                switch (__Pyx_PyLong_SignedDigitCount(x)) {
                    case -2:
                        if ((8 * sizeof(long) - 1 > 1 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(long) - 1 > 2 * PyLong_SHIFT)) {
                                return (long) (((long)-1)*(((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                            }
                        }
                        break;
                    case 2:
                        if ((8 * sizeof(long) > 1 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(long) - 1 > 2 * PyLong_SHIFT)) {
                                return (long) ((((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                            }
                        }
                        break;
                    case -3:
                        if ((8 * sizeof(long) - 1 > 2 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(long) - 1 > 3 * PyLong_SHIFT)) {
                                return (long) (((long)-1)*(((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                            }
                        }
                        break;
                    case 3:
                        if ((8 * sizeof(long) > 2 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(long) - 1 > 3 * PyLong_SHIFT)) {
                                return (long) ((((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                            }
                        }
                        break;
                    case -4:
                        if ((8 * sizeof(long) - 1 > 3 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(long) - 1 > 4 * PyLong_SHIFT)) {
                                return (long) (((long)-1)*(((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                            }
                        }
                        break;
                    case 4:
                        if ((8 * sizeof(long) > 3 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(long) - 1 > 4 * PyLong_SHIFT)) {
                                return (long) ((((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                            }
                        }
                        break;
                }
            }
#endif
            if ((sizeof(long) <= sizeof(long))) {
                __PYX_VERIFY_RETURN_INT_EXC(long, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if ((sizeof(long) <= sizeof(PY_LONG_LONG))) {
                __PYX_VERIFY_RETURN_INT_EXC(long, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
            long val;
            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
#if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
#endif
            if (likely(v)) {
                int ret = -1;
#if PY_VERSION_HEX < 0x030d0000 && !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API) || defined(_PyLong_AsByteArray)
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                ret = _PyLong_AsByteArray((PyLongObject *)v,
                                           bytes, sizeof(val),
                                           is_little, !is_unsigned);
#else
                PyObject *stepval = NULL, *mask = NULL, *shift = NULL;
                int bits, remaining_bits, is_negative = 0;
                long idigit;
                int chunk_size = (sizeof(long) < 8) ? 30 : 62;
                if (unlikely(!PyLong_CheckExact(v))) {
                    PyObject *tmp = v;
                    v = PyNumber_Long(v);
                    assert(PyLong_CheckExact(v));
                    Py_DECREF(tmp);
                    if (unlikely(!v)) return (long) -1;
                }
#if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030B0000
                if (Py_SIZE(x) == 0)
                    return (long) 0;
                is_negative = Py_SIZE(x) < 0;
#else
                {
                    int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                    if (unlikely(result < 0))
                        return (long) -1;
                    is_negative = result == 1;
                }
#endif
                if (is_unsigned && unlikely(is_negative)) {
                    goto raise_neg_overflow;
                } else if (is_negative) {
                    stepval = PyNumber_Invert(v);
                    if (unlikely(!stepval))
                        return (long) -1;
                } else {
                    stepval = __Pyx_NewRef(v);
                }
                val = (long) 0;
                mask = PyLong_FromLong((1L << chunk_size) - 1); if (unlikely(!mask)) goto done;
                shift = PyLong_FromLong(chunk_size); if (unlikely(!shift)) goto done;
                for (bits = 0; bits < (int) sizeof(long) * 8 - chunk_size; bits += chunk_size) {
                    PyObject *tmp, *digit;
                    digit = PyNumber_And(stepval, mask);
                    if (unlikely(!digit)) goto done;
                    idigit = PyLong_AsLong(digit);
                    Py_DECREF(digit);
                    if (unlikely(idigit < 0)) goto done;
                    tmp = PyNumber_Rshift(stepval, shift);
                    if (unlikely(!tmp)) goto done;
                    Py_DECREF(stepval); stepval = tmp;
                    val |= ((long) idigit) << bits;
                    #if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030B0000
                    if (Py_SIZE(stepval) == 0)
                        goto unpacking_done;
                    #endif
                }
                idigit = PyLong_AsLong(stepval);
                if (unlikely(idigit < 0)) goto done;
                remaining_bits = ((int) sizeof(long) * 8) - bits - (is_unsigned ? 0 : 1);
                if (unlikely(idigit >= (1L << remaining_bits)))
                    goto raise_overflow;
                val |= ((long) idigit) << bits;
            #if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030B0000
            unpacking_done:
            #endif
                if (!is_unsigned) {
                    if (unlikely(val & (((long) 1) << (sizeof(long) * 8 - 1))))
                        goto raise_overflow;
                    if (is_negative)
                        val = ~val;
                }
                ret = 0;
            done:
                Py_XDECREF(shift);
                Py_XDECREF(mask);
                Py_XDECREF(stepval);
#endif
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
            return (long) -1;
        }
    } else {
        long val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (long) -1;
        val = __Pyx_PyInt_As_long(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to long");
    return (long) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to long");
    return (long) -1;
}

/* PyObjectCall2Args */
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call2Args(PyObject* function, PyObject* arg1, PyObject* arg2) {
    PyObject *args[3] = {NULL, arg1, arg2};
    return __Pyx_PyObject_FastCall(function, args+1, 2 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET);
}

/* PyObjectCallMethod1 */
#if !(CYTHON_VECTORCALL && __PYX_LIMITED_VERSION_HEX >= 0x030C00A2)
static PyObject* __Pyx__PyObject_CallMethod1(PyObject* method, PyObject* arg) {
    PyObject *result = __Pyx_PyObject_CallOneArg(method, arg);
    Py_DECREF(method);
    return result;
}
#endif
static PyObject* __Pyx_PyObject_CallMethod1(PyObject* obj, PyObject* method_name, PyObject* arg) {
#if CYTHON_VECTORCALL && __PYX_LIMITED_VERSION_HEX >= 0x030C00A2
    PyObject *args[2] = {obj, arg};
    (void) __Pyx_PyObject_GetMethod;
    (void) __Pyx_PyObject_CallOneArg;
    (void) __Pyx_PyObject_Call2Args;
    return PyObject_VectorcallMethod(method_name, args, 2 | PY_VECTORCALL_ARGUMENTS_OFFSET, NULL);
#else
    PyObject *method = NULL, *result;
    int is_method = __Pyx_PyObject_GetMethod(obj, method_name, &method);
    if (likely(is_method)) {
        result = __Pyx_PyObject_Call2Args(method, obj, arg);
        Py_DECREF(method);
        return result;
    }
    if (unlikely(!method)) return NULL;
    return __Pyx__PyObject_CallMethod1(method, arg);
#endif
}

/* CoroutineBase */
#include <frameobject.h>
#if PY_VERSION_HEX >= 0x030b00a6
  #ifndef Py_BUILD_CORE
    #define Py_BUILD_CORE 1
  #endif
  #include "internal/pycore_frame.h"
#endif
#define __Pyx_Coroutine_Undelegate(gen) Py_CLEAR((gen)->yieldfrom)
static int __Pyx_PyGen__FetchStopIterationValue(PyThreadState *__pyx_tstate, PyObject **pvalue) {
    PyObject *et, *ev, *tb;
    PyObject *value = NULL;
    CYTHON_UNUSED_VAR(__pyx_tstate);
    __Pyx_ErrFetch(&et, &ev, &tb);
    if (!et) {
        Py_XDECREF(tb);
        Py_XDECREF(ev);
        Py_INCREF(Py_None);
        *pvalue = Py_None;
        return 0;
    }
    if (likely(et == PyExc_StopIteration)) {
        if (!ev) {
            Py_INCREF(Py_None);
            value = Py_None;
        }
#if PY_VERSION_HEX >= 0x030300A0
        else if (likely(__Pyx_IS_TYPE(ev, (PyTypeObject*)PyExc_StopIteration))) {
            value = ((PyStopIterationObject *)ev)->value;
            Py_INCREF(value);
            Py_DECREF(ev);
        }
#endif
        else if (unlikely(PyTuple_Check(ev))) {
            if (PyTuple_GET_SIZE(ev) >= 1) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
                value = PyTuple_GET_ITEM(ev, 0);
                Py_INCREF(value);
#else
                value = PySequence_ITEM(ev, 0);
#endif
            } else {
                Py_INCREF(Py_None);
                value = Py_None;
            }
            Py_DECREF(ev);
        }
        else if (!__Pyx_TypeCheck(ev, (PyTypeObject*)PyExc_StopIteration)) {
            value = ev;
        }
        if (likely(value)) {
            Py_XDECREF(tb);
            Py_DECREF(et);
            *pvalue = value;
            return 0;
        }
    } else if (!__Pyx_PyErr_GivenExceptionMatches(et, PyExc_StopIteration)) {
        __Pyx_ErrRestore(et, ev, tb);
        return -1;
    }
    PyErr_NormalizeException(&et, &ev, &tb);
    if (unlikely(!PyObject_TypeCheck(ev, (PyTypeObject*)PyExc_StopIteration))) {
        __Pyx_ErrRestore(et, ev, tb);
        return -1;
    }
    Py_XDECREF(tb);
    Py_DECREF(et);
#if PY_VERSION_HEX >= 0x030300A0
    value = ((PyStopIterationObject *)ev)->value;
    Py_INCREF(value);
    Py_DECREF(ev);
#else
    {
        PyObject* args = __Pyx_PyObject_GetAttrStr(ev, __pyx_n_s_args);
        Py_DECREF(ev);
        if (likely(args)) {
            value = PySequence_GetItem(args, 0);
            Py_DECREF(args);
        }
        if (unlikely(!value)) {
            __Pyx_ErrRestore(NULL, NULL, NULL);
            Py_INCREF(Py_None);
            value = Py_None;
        }
    }
#endif
    *pvalue = value;
    return 0;
}
static CYTHON_INLINE
void __Pyx_Coroutine_ExceptionClear(__Pyx_ExcInfoStruct *exc_state) {
#if PY_VERSION_HEX >= 0x030B00a4
    Py_CLEAR(exc_state->exc_value);
#else
    PyObject *t, *v, *tb;
    t = exc_state->exc_type;
    v = exc_state->exc_value;
    tb = exc_state->exc_traceback;
    exc_state->exc_type = NULL;
    exc_state->exc_value = NULL;
    exc_state->exc_traceback = NULL;
    Py_XDECREF(t);
    Py_XDECREF(v);
    Py_XDECREF(tb);
#endif
}
#define __Pyx_Coroutine_AlreadyRunningError(gen)  (__Pyx__Coroutine_AlreadyRunningError(gen), (PyObject*)NULL)
static void __Pyx__Coroutine_AlreadyRunningError(__pyx_CoroutineObject *gen) {
    const char *msg;
    CYTHON_MAYBE_UNUSED_VAR(gen);
    if ((0)) {
    #ifdef __Pyx_Coroutine_USED
    } else if (__Pyx_Coroutine_Check((PyObject*)gen)) {
        msg = "coroutine already executing";
    #endif
    #ifdef __Pyx_AsyncGen_USED
    } else if (__Pyx_AsyncGen_CheckExact((PyObject*)gen)) {
        msg = "async generator already executing";
    #endif
    } else {
        msg = "generator already executing";
    }
    PyErr_SetString(PyExc_ValueError, msg);
}
#define __Pyx_Coroutine_NotStartedError(gen)  (__Pyx__Coroutine_NotStartedError(gen), (PyObject*)NULL)
static void __Pyx__Coroutine_NotStartedError(PyObject *gen) {
    const char *msg;
    CYTHON_MAYBE_UNUSED_VAR(gen);
    if ((0)) {
    #ifdef __Pyx_Coroutine_USED
    } else if (__Pyx_Coroutine_Check(gen)) {
        msg = "can't send non-None value to a just-started coroutine";
    #endif
    #ifdef __Pyx_AsyncGen_USED
    } else if (__Pyx_AsyncGen_CheckExact(gen)) {
        msg = "can't send non-None value to a just-started async generator";
    #endif
    } else {
        msg = "can't send non-None value to a just-started generator";
    }
    PyErr_SetString(PyExc_TypeError, msg);
}
#define __Pyx_Coroutine_AlreadyTerminatedError(gen, value, closing)  (__Pyx__Coroutine_AlreadyTerminatedError(gen, value, closing), (PyObject*)NULL)
static void __Pyx__Coroutine_AlreadyTerminatedError(PyObject *gen, PyObject *value, int closing) {
    CYTHON_MAYBE_UNUSED_VAR(gen);
    CYTHON_MAYBE_UNUSED_VAR(closing);
    #ifdef __Pyx_Coroutine_USED
    if (!closing && __Pyx_Coroutine_Check(gen)) {
        PyErr_SetString(PyExc_RuntimeError, "cannot reuse already awaited coroutine");
    } else
    #endif
    if (value) {
        #ifdef __Pyx_AsyncGen_USED
        if (__Pyx_AsyncGen_CheckExact(gen))
            PyErr_SetNone(__Pyx_PyExc_StopAsyncIteration);
        else
        #endif
        PyErr_SetNone(PyExc_StopIteration);
    }
}
static
PyObject *__Pyx_Coroutine_SendEx(__pyx_CoroutineObject *self, PyObject *value, int closing) {
    __Pyx_PyThreadState_declare
    PyThreadState *tstate;
    __Pyx_ExcInfoStruct *exc_state;
    PyObject *retval;
    assert(!self->is_running);
    if (unlikely(self->resume_label == 0)) {
        if (unlikely(value && value != Py_None)) {
            return __Pyx_Coroutine_NotStartedError((PyObject*)self);
        }
    }
    if (unlikely(self->resume_label == -1)) {
        return __Pyx_Coroutine_AlreadyTerminatedError((PyObject*)self, value, closing);
    }
#if CYTHON_FAST_THREAD_STATE
    __Pyx_PyThreadState_assign
    tstate = __pyx_tstate;
#else
    tstate = __Pyx_PyThreadState_Current;
#endif
    exc_state = &self->gi_exc_state;
    if (exc_state->exc_value) {
        #if CYTHON_COMPILING_IN_PYPY
        #else
        PyObject *exc_tb;
        #if PY_VERSION_HEX >= 0x030B00a4 && !CYTHON_COMPILING_IN_CPYTHON
        exc_tb = PyException_GetTraceback(exc_state->exc_value);
        #elif PY_VERSION_HEX >= 0x030B00a4
        exc_tb = ((PyBaseExceptionObject*) exc_state->exc_value)->traceback;
        #else
        exc_tb = exc_state->exc_traceback;
        #endif
        if (exc_tb) {
            PyTracebackObject *tb = (PyTracebackObject *) exc_tb;
            PyFrameObject *f = tb->tb_frame;
            assert(f->f_back == NULL);
            #if PY_VERSION_HEX >= 0x030B00A1
            f->f_back = PyThreadState_GetFrame(tstate);
            #else
            Py_XINCREF(tstate->frame);
            f->f_back = tstate->frame;
            #endif
            #if PY_VERSION_HEX >= 0x030B00a4 && !CYTHON_COMPILING_IN_CPYTHON
            Py_DECREF(exc_tb);
            #endif
        }
        #endif
    }
#if CYTHON_USE_EXC_INFO_STACK
    exc_state->previous_item = tstate->exc_info;
    tstate->exc_info = exc_state;
#else
    if (exc_state->exc_type) {
        __Pyx_ExceptionSwap(&exc_state->exc_type, &exc_state->exc_value, &exc_state->exc_traceback);
    } else {
        __Pyx_Coroutine_ExceptionClear(exc_state);
        __Pyx_ExceptionSave(&exc_state->exc_type, &exc_state->exc_value, &exc_state->exc_traceback);
    }
#endif
    self->is_running = 1;
    retval = self->body(self, tstate, value);
    self->is_running = 0;
#if CYTHON_USE_EXC_INFO_STACK
    exc_state = &self->gi_exc_state;
    tstate->exc_info = exc_state->previous_item;
    exc_state->previous_item = NULL;
    __Pyx_Coroutine_ResetFrameBackpointer(exc_state);
#endif
    return retval;
}
static CYTHON_INLINE void __Pyx_Coroutine_ResetFrameBackpointer(__Pyx_ExcInfoStruct *exc_state) {
#if CYTHON_COMPILING_IN_PYPY
    CYTHON_UNUSED_VAR(exc_state);
#else
    PyObject *exc_tb;
    #if PY_VERSION_HEX >= 0x030B00a4
    if (!exc_state->exc_value) return;
    exc_tb = PyException_GetTraceback(exc_state->exc_value);
    #else
    exc_tb = exc_state->exc_traceback;
    #endif
    if (likely(exc_tb)) {
        PyTracebackObject *tb = (PyTracebackObject *) exc_tb;
        PyFrameObject *f = tb->tb_frame;
        Py_CLEAR(f->f_back);
        #if PY_VERSION_HEX >= 0x030B00a4
        Py_DECREF(exc_tb);
        #endif
    }
#endif
}
static CYTHON_INLINE
PyObject *__Pyx_Coroutine_MethodReturn(PyObject* gen, PyObject *retval) {
    CYTHON_MAYBE_UNUSED_VAR(gen);
    if (unlikely(!retval)) {
        __Pyx_PyThreadState_declare
        __Pyx_PyThreadState_assign
        if (!__Pyx_PyErr_Occurred()) {
            PyObject *exc = PyExc_StopIteration;
            #ifdef __Pyx_AsyncGen_USED
            if (__Pyx_AsyncGen_CheckExact(gen))
                exc = __Pyx_PyExc_StopAsyncIteration;
            #endif
            __Pyx_PyErr_SetNone(exc);
        }
    }
    return retval;
}
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03030000 && (defined(__linux__) || PY_VERSION_HEX >= 0x030600B3)
static CYTHON_INLINE
PyObject *__Pyx_PyGen_Send(PyGenObject *gen, PyObject *arg) {
#if PY_VERSION_HEX <= 0x030A00A1
    return _PyGen_Send(gen, arg);
#else
    PyObject *result;
    if (PyIter_Send((PyObject*)gen, arg ? arg : Py_None, &result) == PYGEN_RETURN) {
        if (PyAsyncGen_CheckExact(gen)) {
            assert(result == Py_None);
            PyErr_SetNone(PyExc_StopAsyncIteration);
        }
        else if (result == Py_None) {
            PyErr_SetNone(PyExc_StopIteration);
        }
        else {
#if PY_VERSION_HEX < 0x030d00A1
            _PyGen_SetStopIterationValue(result);
#else
            if (!PyTuple_Check(result) && !PyExceptionInstance_Check(result)) {
                PyErr_SetObject(PyExc_StopIteration, result);
            } else {
                PyObject *exc = __Pyx_PyObject_CallOneArg(PyExc_StopIteration, result);
                if (likely(exc != NULL)) {
                    PyErr_SetObject(PyExc_StopIteration, exc);
                    Py_DECREF(exc);
                }
            }
#endif
        }
        Py_DECREF(result);
        result = NULL;
    }
    return result;
#endif
}
#endif
static CYTHON_INLINE
PyObject *__Pyx_Coroutine_FinishDelegation(__pyx_CoroutineObject *gen) {
    PyObject *ret;
    PyObject *val = NULL;
    __Pyx_Coroutine_Undelegate(gen);
    __Pyx_PyGen__FetchStopIterationValue(__Pyx_PyThreadState_Current, &val);
    ret = __Pyx_Coroutine_SendEx(gen, val, 0);
    Py_XDECREF(val);
    return ret;
}
static PyObject *__Pyx_Coroutine_Send(PyObject *self, PyObject *value) {
    PyObject *retval;
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject*) self;
    PyObject *yf = gen->yieldfrom;
    if (unlikely(gen->is_running))
        return __Pyx_Coroutine_AlreadyRunningError(gen);
    if (yf) {
        PyObject *ret;
        gen->is_running = 1;
        #ifdef __Pyx_Generator_USED
        if (__Pyx_Generator_CheckExact(yf)) {
            ret = __Pyx_Coroutine_Send(yf, value);
        } else
        #endif
        #ifdef __Pyx_Coroutine_USED
        if (__Pyx_Coroutine_Check(yf)) {
            ret = __Pyx_Coroutine_Send(yf, value);
        } else
        #endif
        #ifdef __Pyx_AsyncGen_USED
        if (__pyx_PyAsyncGenASend_CheckExact(yf)) {
            ret = __Pyx_async_gen_asend_send(yf, value);
        } else
        #endif
        #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03030000 && (defined(__linux__) || PY_VERSION_HEX >= 0x030600B3)
        if (PyGen_CheckExact(yf)) {
            ret = __Pyx_PyGen_Send((PyGenObject*)yf, value == Py_None ? NULL : value);
        } else
        #endif
        #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03050000 && defined(PyCoro_CheckExact) && (defined(__linux__) || PY_VERSION_HEX >= 0x030600B3)
        if (PyCoro_CheckExact(yf)) {
            ret = __Pyx_PyGen_Send((PyGenObject*)yf, value == Py_None ? NULL : value);
        } else
        #endif
        {
            if (value == Py_None)
                ret = __Pyx_PyObject_GetIterNextFunc(yf)(yf);
            else
                ret = __Pyx_PyObject_CallMethod1(yf, __pyx_n_s_send, value);
        }
        gen->is_running = 0;
        if (likely(ret)) {
            return ret;
        }
        retval = __Pyx_Coroutine_FinishDelegation(gen);
    } else {
        retval = __Pyx_Coroutine_SendEx(gen, value, 0);
    }
    return __Pyx_Coroutine_MethodReturn(self, retval);
}
static int __Pyx_Coroutine_CloseIter(__pyx_CoroutineObject *gen, PyObject *yf) {
    PyObject *retval = NULL;
    int err = 0;
    #ifdef __Pyx_Generator_USED
    if (__Pyx_Generator_CheckExact(yf)) {
        retval = __Pyx_Coroutine_Close(yf);
        if (!retval)
            return -1;
    } else
    #endif
    #ifdef __Pyx_Coroutine_USED
    if (__Pyx_Coroutine_Check(yf)) {
        retval = __Pyx_Coroutine_Close(yf);
        if (!retval)
            return -1;
    } else
    if (__Pyx_CoroutineAwait_CheckExact(yf)) {
        retval = __Pyx_CoroutineAwait_Close((__pyx_CoroutineAwaitObject*)yf, NULL);
        if (!retval)
            return -1;
    } else
    #endif
    #ifdef __Pyx_AsyncGen_USED
    if (__pyx_PyAsyncGenASend_CheckExact(yf)) {
        retval = __Pyx_async_gen_asend_close(yf, NULL);
    } else
    if (__pyx_PyAsyncGenAThrow_CheckExact(yf)) {
        retval = __Pyx_async_gen_athrow_close(yf, NULL);
    } else
    #endif
    {
        PyObject *meth;
        gen->is_running = 1;
        meth = __Pyx_PyObject_GetAttrStrNoError(yf, __pyx_n_s_close);
        if (unlikely(!meth)) {
            if (unlikely(PyErr_Occurred())) {
                PyErr_WriteUnraisable(yf);
            }
        } else {
            retval = __Pyx_PyObject_CallNoArg(meth);
            Py_DECREF(meth);
            if (unlikely(!retval))
                err = -1;
        }
        gen->is_running = 0;
    }
    Py_XDECREF(retval);
    return err;
}
static PyObject *__Pyx_Generator_Next(PyObject *self) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject*) self;
    PyObject *yf = gen->yieldfrom;
    if (unlikely(gen->is_running))
        return __Pyx_Coroutine_AlreadyRunningError(gen);
    if (yf) {
        PyObject *ret;
        gen->is_running = 1;
        #ifdef __Pyx_Generator_USED
        if (__Pyx_Generator_CheckExact(yf)) {
            ret = __Pyx_Generator_Next(yf);
        } else
        #endif
        #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03030000 && (defined(__linux__) || PY_VERSION_HEX >= 0x030600B3)
        if (PyGen_CheckExact(yf)) {
            ret = __Pyx_PyGen_Send((PyGenObject*)yf, NULL);
        } else
        #endif
        #ifdef __Pyx_Coroutine_USED
        if (__Pyx_Coroutine_Check(yf)) {
            ret = __Pyx_Coroutine_Send(yf, Py_None);
        } else
        #endif
            ret = __Pyx_PyObject_GetIterNextFunc(yf)(yf);
        gen->is_running = 0;
        if (likely(ret)) {
            return ret;
        }
        return __Pyx_Coroutine_FinishDelegation(gen);
    }
    return __Pyx_Coroutine_SendEx(gen, Py_None, 0);
}
static PyObject *__Pyx_Coroutine_Close_Method(PyObject *self, PyObject *arg) {
    CYTHON_UNUSED_VAR(arg);
    return __Pyx_Coroutine_Close(self);
}
static PyObject *__Pyx_Coroutine_Close(PyObject *self) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    PyObject *retval, *raised_exception;
    PyObject *yf = gen->yieldfrom;
    int err = 0;
    if (unlikely(gen->is_running))
        return __Pyx_Coroutine_AlreadyRunningError(gen);
    if (yf) {
        Py_INCREF(yf);
        err = __Pyx_Coroutine_CloseIter(gen, yf);
        __Pyx_Coroutine_Undelegate(gen);
        Py_DECREF(yf);
    }
    if (err == 0)
        PyErr_SetNone(PyExc_GeneratorExit);
    retval = __Pyx_Coroutine_SendEx(gen, NULL, 1);
    if (unlikely(retval)) {
        const char *msg;
        Py_DECREF(retval);
        if ((0)) {
        #ifdef __Pyx_Coroutine_USED
        } else if (__Pyx_Coroutine_Check(self)) {
            msg = "coroutine ignored GeneratorExit";
        #endif
        #ifdef __Pyx_AsyncGen_USED
        } else if (__Pyx_AsyncGen_CheckExact(self)) {
#if PY_VERSION_HEX < 0x03060000
            msg = "async generator ignored GeneratorExit - might require Python 3.6+ finalisation (PEP 525)";
#else
            msg = "async generator ignored GeneratorExit";
#endif
        #endif
        } else {
            msg = "generator ignored GeneratorExit";
        }
        PyErr_SetString(PyExc_RuntimeError, msg);
        return NULL;
    }
    raised_exception = PyErr_Occurred();
    if (likely(!raised_exception || __Pyx_PyErr_GivenExceptionMatches2(raised_exception, PyExc_GeneratorExit, PyExc_StopIteration))) {
        if (raised_exception) PyErr_Clear();
        Py_INCREF(Py_None);
        return Py_None;
    }
    return NULL;
}
static PyObject *__Pyx__Coroutine_Throw(PyObject *self, PyObject *typ, PyObject *val, PyObject *tb,
                                        PyObject *args, int close_on_genexit) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    PyObject *yf = gen->yieldfrom;
    if (unlikely(gen->is_running))
        return __Pyx_Coroutine_AlreadyRunningError(gen);
    if (yf) {
        PyObject *ret;
        Py_INCREF(yf);
        if (__Pyx_PyErr_GivenExceptionMatches(typ, PyExc_GeneratorExit) && close_on_genexit) {
            int err = __Pyx_Coroutine_CloseIter(gen, yf);
            Py_DECREF(yf);
            __Pyx_Coroutine_Undelegate(gen);
            if (err < 0)
                return __Pyx_Coroutine_MethodReturn(self, __Pyx_Coroutine_SendEx(gen, NULL, 0));
            goto throw_here;
        }
        gen->is_running = 1;
        if (0
        #ifdef __Pyx_Generator_USED
            || __Pyx_Generator_CheckExact(yf)
        #endif
        #ifdef __Pyx_Coroutine_USED
            || __Pyx_Coroutine_Check(yf)
        #endif
            ) {
            ret = __Pyx__Coroutine_Throw(yf, typ, val, tb, args, close_on_genexit);
        #ifdef __Pyx_Coroutine_USED
        } else if (__Pyx_CoroutineAwait_CheckExact(yf)) {
            ret = __Pyx__Coroutine_Throw(((__pyx_CoroutineAwaitObject*)yf)->coroutine, typ, val, tb, args, close_on_genexit);
        #endif
        } else {
            PyObject *meth = __Pyx_PyObject_GetAttrStrNoError(yf, __pyx_n_s_throw);
            if (unlikely(!meth)) {
                Py_DECREF(yf);
                if (unlikely(PyErr_Occurred())) {
                    gen->is_running = 0;
                    return NULL;
                }
                __Pyx_Coroutine_Undelegate(gen);
                gen->is_running = 0;
                goto throw_here;
            }
            if (likely(args)) {
                ret = __Pyx_PyObject_Call(meth, args, NULL);
            } else {
                PyObject *cargs[4] = {NULL, typ, val, tb};
                ret = __Pyx_PyObject_FastCall(meth, cargs+1, 3 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET);
            }
            Py_DECREF(meth);
        }
        gen->is_running = 0;
        Py_DECREF(yf);
        if (!ret) {
            ret = __Pyx_Coroutine_FinishDelegation(gen);
        }
        return __Pyx_Coroutine_MethodReturn(self, ret);
    }
throw_here:
    __Pyx_Raise(typ, val, tb, NULL);
    return __Pyx_Coroutine_MethodReturn(self, __Pyx_Coroutine_SendEx(gen, NULL, 0));
}
static PyObject *__Pyx_Coroutine_Throw(PyObject *self, PyObject *args) {
    PyObject *typ;
    PyObject *val = NULL;
    PyObject *tb = NULL;
    if (unlikely(!PyArg_UnpackTuple(args, (char *)"throw", 1, 3, &typ, &val, &tb)))
        return NULL;
    return __Pyx__Coroutine_Throw(self, typ, val, tb, args, 1);
}
static CYTHON_INLINE int __Pyx_Coroutine_traverse_excstate(__Pyx_ExcInfoStruct *exc_state, visitproc visit, void *arg) {
#if PY_VERSION_HEX >= 0x030B00a4
    Py_VISIT(exc_state->exc_value);
#else
    Py_VISIT(exc_state->exc_type);
    Py_VISIT(exc_state->exc_value);
    Py_VISIT(exc_state->exc_traceback);
#endif
    return 0;
}
static int __Pyx_Coroutine_traverse(__pyx_CoroutineObject *gen, visitproc visit, void *arg) {
    Py_VISIT(gen->closure);
    Py_VISIT(gen->classobj);
    Py_VISIT(gen->yieldfrom);
    return __Pyx_Coroutine_traverse_excstate(&gen->gi_exc_state, visit, arg);
}
static int __Pyx_Coroutine_clear(PyObject *self) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    Py_CLEAR(gen->closure);
    Py_CLEAR(gen->classobj);
    Py_CLEAR(gen->yieldfrom);
    __Pyx_Coroutine_ExceptionClear(&gen->gi_exc_state);
#ifdef __Pyx_AsyncGen_USED
    if (__Pyx_AsyncGen_CheckExact(self)) {
        Py_CLEAR(((__pyx_PyAsyncGenObject*)gen)->ag_finalizer);
    }
#endif
    Py_CLEAR(gen->gi_code);
    Py_CLEAR(gen->gi_frame);
    Py_CLEAR(gen->gi_name);
    Py_CLEAR(gen->gi_qualname);
    Py_CLEAR(gen->gi_modulename);
    return 0;
}
static void __Pyx_Coroutine_dealloc(PyObject *self) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    PyObject_GC_UnTrack(gen);
    if (gen->gi_weakreflist != NULL)
        PyObject_ClearWeakRefs(self);
    if (gen->resume_label >= 0) {
        PyObject_GC_Track(self);
#if PY_VERSION_HEX >= 0x030400a1 && CYTHON_USE_TP_FINALIZE
        if (unlikely(PyObject_CallFinalizerFromDealloc(self)))
#else
        Py_TYPE(gen)->tp_del(self);
        if (unlikely(Py_REFCNT(self) > 0))
#endif
        {
            return;
        }
        PyObject_GC_UnTrack(self);
    }
#ifdef __Pyx_AsyncGen_USED
    if (__Pyx_AsyncGen_CheckExact(self)) {
        /* We have to handle this case for asynchronous generators
           right here, because this code has to be between UNTRACK
           and GC_Del. */
        Py_CLEAR(((__pyx_PyAsyncGenObject*)self)->ag_finalizer);
    }
#endif
    __Pyx_Coroutine_clear(self);
    __Pyx_PyHeapTypeObject_GC_Del(gen);
}
static void __Pyx_Coroutine_del(PyObject *self) {
    PyObject *error_type, *error_value, *error_traceback;
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    __Pyx_PyThreadState_declare
    if (gen->resume_label < 0) {
        return;
    }
#if !CYTHON_USE_TP_FINALIZE
    assert(self->ob_refcnt == 0);
    __Pyx_SET_REFCNT(self, 1);
#endif
    __Pyx_PyThreadState_assign
    __Pyx_ErrFetch(&error_type, &error_value, &error_traceback);
#ifdef __Pyx_AsyncGen_USED
    if (__Pyx_AsyncGen_CheckExact(self)) {
        __pyx_PyAsyncGenObject *agen = (__pyx_PyAsyncGenObject*)self;
        PyObject *finalizer = agen->ag_finalizer;
        if (finalizer && !agen->ag_closed) {
            PyObject *res = __Pyx_PyObject_CallOneArg(finalizer, self);
            if (unlikely(!res)) {
                PyErr_WriteUnraisable(self);
            } else {
                Py_DECREF(res);
            }
            __Pyx_ErrRestore(error_type, error_value, error_traceback);
            return;
        }
    }
#endif
    if (unlikely(gen->resume_label == 0 && !error_value)) {
#ifdef __Pyx_Coroutine_USED
#ifdef __Pyx_Generator_USED
    if (!__Pyx_Generator_CheckExact(self))
#endif
        {
        PyObject_GC_UnTrack(self);
#if PY_MAJOR_VERSION >= 3  || defined(PyErr_WarnFormat)
        if (unlikely(PyErr_WarnFormat(PyExc_RuntimeWarning, 1, "coroutine '%.50S' was never awaited", gen->gi_qualname) < 0))
            PyErr_WriteUnraisable(self);
#else
        {PyObject *msg;
        char *cmsg;
        #if CYTHON_COMPILING_IN_PYPY
        msg = NULL;
        cmsg = (char*) "coroutine was never awaited";
        #else
        char *cname;
        PyObject *qualname;
        qualname = gen->gi_qualname;
        cname = PyString_AS_STRING(qualname);
        msg = PyString_FromFormat("coroutine '%.50s' was never awaited", cname);
        if (unlikely(!msg)) {
            PyErr_Clear();
            cmsg = (char*) "coroutine was never awaited";
        } else {
            cmsg = PyString_AS_STRING(msg);
        }
        #endif
        if (unlikely(PyErr_WarnEx(PyExc_RuntimeWarning, cmsg, 1) < 0))
            PyErr_WriteUnraisable(self);
        Py_XDECREF(msg);}
#endif
        PyObject_GC_Track(self);
        }
#endif
    } else {
        PyObject *res = __Pyx_Coroutine_Close(self);
        if (unlikely(!res)) {
            if (PyErr_Occurred())
                PyErr_WriteUnraisable(self);
        } else {
            Py_DECREF(res);
        }
    }
    __Pyx_ErrRestore(error_type, error_value, error_traceback);
#if !CYTHON_USE_TP_FINALIZE
    assert(Py_REFCNT(self) > 0);
    if (likely(--self->ob_refcnt == 0)) {
        return;
    }
    {
        Py_ssize_t refcnt = Py_REFCNT(self);
        _Py_NewReference(self);
        __Pyx_SET_REFCNT(self, refcnt);
    }
#if CYTHON_COMPILING_IN_CPYTHON
    assert(PyType_IS_GC(Py_TYPE(self)) &&
           _Py_AS_GC(self)->gc.gc_refs != _PyGC_REFS_UNTRACKED);
    _Py_DEC_REFTOTAL;
#endif
#ifdef COUNT_ALLOCS
    --Py_TYPE(self)->tp_frees;
    --Py_TYPE(self)->tp_allocs;
#endif
#endif
}
static PyObject *
__Pyx_Coroutine_get_name(__pyx_CoroutineObject *self, void *context)
{
    PyObject *name = self->gi_name;
    CYTHON_UNUSED_VAR(context);
    if (unlikely(!name)) name = Py_None;
    Py_INCREF(name);
    return name;
}
static int
__Pyx_Coroutine_set_name(__pyx_CoroutineObject *self, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
#if PY_MAJOR_VERSION >= 3
    if (unlikely(value == NULL || !PyUnicode_Check(value)))
#else
    if (unlikely(value == NULL || !PyString_Check(value)))
#endif
    {
        PyErr_SetString(PyExc_TypeError,
                        "__name__ must be set to a string object");
        return -1;
    }
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(self->gi_name, value);
    return 0;
}
static PyObject *
__Pyx_Coroutine_get_qualname(__pyx_CoroutineObject *self, void *context)
{
    PyObject *name = self->gi_qualname;
    CYTHON_UNUSED_VAR(context);
    if (unlikely(!name)) name = Py_None;
    Py_INCREF(name);
    return name;
}
static int
__Pyx_Coroutine_set_qualname(__pyx_CoroutineObject *self, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
#if PY_MAJOR_VERSION >= 3
    if (unlikely(value == NULL || !PyUnicode_Check(value)))
#else
    if (unlikely(value == NULL || !PyString_Check(value)))
#endif
    {
        PyErr_SetString(PyExc_TypeError,
                        "__qualname__ must be set to a string object");
        return -1;
    }
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(self->gi_qualname, value);
    return 0;
}
static PyObject *
__Pyx_Coroutine_get_frame(__pyx_CoroutineObject *self, void *context)
{
    PyObject *frame = self->gi_frame;
    CYTHON_UNUSED_VAR(context);
    if (!frame) {
        if (unlikely(!self->gi_code)) {
            Py_RETURN_NONE;
        }
        frame = (PyObject *) PyFrame_New(
            PyThreadState_Get(),            /*PyThreadState *tstate,*/
            (PyCodeObject*) self->gi_code,  /*PyCodeObject *code,*/
            __pyx_d,                 /*PyObject *globals,*/
            0                               /*PyObject *locals*/
        );
        if (unlikely(!frame))
            return NULL;
        self->gi_frame = frame;
    }
    Py_INCREF(frame);
    return frame;
}
static __pyx_CoroutineObject *__Pyx__Coroutine_New(
            PyTypeObject* type, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
            PyObject *name, PyObject *qualname, PyObject *module_name) {
    __pyx_CoroutineObject *gen = PyObject_GC_New(__pyx_CoroutineObject, type);
    if (unlikely(!gen))
        return NULL;
    return __Pyx__Coroutine_NewInit(gen, body, code, closure, name, qualname, module_name);
}
static __pyx_CoroutineObject *__Pyx__Coroutine_NewInit(
            __pyx_CoroutineObject *gen, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
            PyObject *name, PyObject *qualname, PyObject *module_name) {
    gen->body = body;
    gen->closure = closure;
    Py_XINCREF(closure);
    gen->is_running = 0;
    gen->resume_label = 0;
    gen->classobj = NULL;
    gen->yieldfrom = NULL;
    #if PY_VERSION_HEX >= 0x030B00a4
    gen->gi_exc_state.exc_value = NULL;
    #else
    gen->gi_exc_state.exc_type = NULL;
    gen->gi_exc_state.exc_value = NULL;
    gen->gi_exc_state.exc_traceback = NULL;
    #endif
#if CYTHON_USE_EXC_INFO_STACK
    gen->gi_exc_state.previous_item = NULL;
#endif
    gen->gi_weakreflist = NULL;
    Py_XINCREF(qualname);
    gen->gi_qualname = qualname;
    Py_XINCREF(name);
    gen->gi_name = name;
    Py_XINCREF(module_name);
    gen->gi_modulename = module_name;
    Py_XINCREF(code);
    gen->gi_code = code;
    gen->gi_frame = NULL;
    PyObject_GC_Track(gen);
    return gen;
}

/* PatchModuleWithCoroutine */
static PyObject* __Pyx_Coroutine_patch_module(PyObject* module, const char* py_code) {
#if defined(__Pyx_Generator_USED) || defined(__Pyx_Coroutine_USED)
    int result;
    PyObject *globals, *result_obj;
    globals = PyDict_New();  if (unlikely(!globals)) goto ignore;
    result = PyDict_SetItemString(globals, "_cython_coroutine_type",
    #ifdef __Pyx_Coroutine_USED
        (PyObject*)__pyx_CoroutineType);
    #else
        Py_None);
    #endif
    if (unlikely(result < 0)) goto ignore;
    result = PyDict_SetItemString(globals, "_cython_generator_type",
    #ifdef __Pyx_Generator_USED
        (PyObject*)__pyx_GeneratorType);
    #else
        Py_None);
    #endif
    if (unlikely(result < 0)) goto ignore;
    if (unlikely(PyDict_SetItemString(globals, "_module", module) < 0)) goto ignore;
    if (unlikely(PyDict_SetItemString(globals, "__builtins__", __pyx_b) < 0)) goto ignore;
    result_obj = PyRun_String(py_code, Py_file_input, globals, globals);
    if (unlikely(!result_obj)) goto ignore;
    Py_DECREF(result_obj);
    Py_DECREF(globals);
    return module;
ignore:
    Py_XDECREF(globals);
    PyErr_WriteUnraisable(module);
    if (unlikely(PyErr_WarnEx(PyExc_RuntimeWarning, "Cython module failed to patch module with custom type", 1) < 0)) {
        Py_DECREF(module);
        module = NULL;
    }
#else
    py_code++;
#endif
    return module;
}

/* PatchGeneratorABC */
#ifndef CYTHON_REGISTER_ABCS
#define CYTHON_REGISTER_ABCS 1
#endif
#if defined(__Pyx_Generator_USED) || defined(__Pyx_Coroutine_USED)
static PyObject* __Pyx_patch_abc_module(PyObject *module);
static PyObject* __Pyx_patch_abc_module(PyObject *module) {
    module = __Pyx_Coroutine_patch_module(
        module, ""
"if _cython_generator_type is not None:\n"
"    try: Generator = _module.Generator\n"
"    except AttributeError: pass\n"
"    else: Generator.register(_cython_generator_type)\n"
"if _cython_coroutine_type is not None:\n"
"    try: Coroutine = _module.Coroutine\n"
"    except AttributeError: pass\n"
"    else: Coroutine.register(_cython_coroutine_type)\n"
    );
    return module;
}
#endif
static int __Pyx_patch_abc(void) {
#if defined(__Pyx_Generator_USED) || defined(__Pyx_Coroutine_USED)
    static int abc_patched = 0;
    if (CYTHON_REGISTER_ABCS && !abc_patched) {
        PyObject *module;
        module = PyImport_ImportModule((PY_MAJOR_VERSION >= 3) ? "collections.abc" : "collections");
        if (unlikely(!module)) {
            PyErr_WriteUnraisable(NULL);
            if (unlikely(PyErr_WarnEx(PyExc_RuntimeWarning,
                    ((PY_MAJOR_VERSION >= 3) ?
                        "Cython module failed to register with collections.abc module" :
                        "Cython module failed to register with collections module"), 1) < 0)) {
                return -1;
            }
        } else {
            module = __Pyx_patch_abc_module(module);
            abc_patched = 1;
            if (unlikely(!module))
                return -1;
            Py_DECREF(module);
        }
        module = PyImport_ImportModule("backports_abc");
        if (module) {
            module = __Pyx_patch_abc_module(module);
            Py_XDECREF(module);
        }
        if (!module) {
            PyErr_Clear();
        }
    }
#else
    if ((0)) __Pyx_Coroutine_patch_module(NULL, NULL);
#endif
    return 0;
}

/* Generator */
static PyMethodDef __pyx_Generator_methods[] = {
    {"send", (PyCFunction) __Pyx_Coroutine_Send, METH_O,
     (char*) PyDoc_STR("send(arg) -> send 'arg' into generator,\nreturn next yielded value or raise StopIteration.")},
    {"throw", (PyCFunction) __Pyx_Coroutine_Throw, METH_VARARGS,
     (char*) PyDoc_STR("throw(typ[,val[,tb]]) -> raise exception in generator,\nreturn next yielded value or raise StopIteration.")},
    {"close", (PyCFunction) __Pyx_Coroutine_Close_Method, METH_NOARGS,
     (char*) PyDoc_STR("close() -> raise GeneratorExit inside generator.")},
    {0, 0, 0, 0}
};
static PyMemberDef __pyx_Generator_memberlist[] = {
    {(char *) "gi_running", T_BOOL, offsetof(__pyx_CoroutineObject, is_running), READONLY, NULL},
    {(char*) "gi_yieldfrom", T_OBJECT, offsetof(__pyx_CoroutineObject, yieldfrom), READONLY,
     (char*) PyDoc_STR("object being iterated by 'yield from', or None")},
    {(char*) "gi_code", T_OBJECT, offsetof(__pyx_CoroutineObject, gi_code), READONLY, NULL},
    {(char *) "__module__", T_OBJECT, offsetof(__pyx_CoroutineObject, gi_modulename), 0, 0},
#if CYTHON_USE_TYPE_SPECS
    {(char *) "__weaklistoffset__", T_PYSSIZET, offsetof(__pyx_CoroutineObject, gi_weakreflist), READONLY, 0},
#endif
    {0, 0, 0, 0, 0}
};
static PyGetSetDef __pyx_Generator_getsets[] = {
    {(char *) "__name__", (getter)__Pyx_Coroutine_get_name, (setter)__Pyx_Coroutine_set_name,
     (char*) PyDoc_STR("name of the generator"), 0},
    {(char *) "__qualname__", (getter)__Pyx_Coroutine_get_qualname, (setter)__Pyx_Coroutine_set_qualname,
     (char*) PyDoc_STR("qualified name of the generator"), 0},
    {(char *) "gi_frame", (getter)__Pyx_Coroutine_get_frame, NULL,
     (char*) PyDoc_STR("Frame of the generator"), 0},
    {0, 0, 0, 0, 0}
};
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_GeneratorType_slots[] = {
    {Py_tp_dealloc, (void *)__Pyx_Coroutine_dealloc},
    {Py_tp_traverse, (void *)__Pyx_Coroutine_traverse},
    {Py_tp_iter, (void *)PyObject_SelfIter},
    {Py_tp_iternext, (void *)__Pyx_Generator_Next},
    {Py_tp_methods, (void *)__pyx_Generator_methods},
    {Py_tp_members, (void *)__pyx_Generator_memberlist},
    {Py_tp_getset, (void *)__pyx_Generator_getsets},
    {Py_tp_getattro, (void *) __Pyx_PyObject_GenericGetAttrNoDict},
#if CYTHON_USE_TP_FINALIZE
    {Py_tp_finalize, (void *)__Pyx_Coroutine_del},
#endif
    {0, 0},
};
static PyType_Spec __pyx_GeneratorType_spec = {
    __PYX_TYPE_MODULE_PREFIX "generator",
    sizeof(__pyx_CoroutineObject),
    0,
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_HAVE_FINALIZE,
    __pyx_GeneratorType_slots
};
#else
static PyTypeObject __pyx_GeneratorType_type = {
    PyVarObject_HEAD_INIT(0, 0)
    __PYX_TYPE_MODULE_PREFIX "generator",
    sizeof(__pyx_CoroutineObject),
    0,
    (destructor) __Pyx_Coroutine_dealloc,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_HAVE_FINALIZE,
    0,
    (traverseproc) __Pyx_Coroutine_traverse,
    0,
    0,
    offsetof(__pyx_CoroutineObject, gi_weakreflist),
    0,
    (iternextfunc) __Pyx_Generator_Next,
    __pyx_Generator_methods,
    __pyx_Generator_memberlist,
    __pyx_Generator_getsets,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
#if CYTHON_USE_TP_FINALIZE
    0,
#else
    __Pyx_Coroutine_del,
#endif
    0,
#if CYTHON_USE_TP_FINALIZE
    __Pyx_Coroutine_del,
#elif PY_VERSION_HEX >= 0x030400a1
    0,
#endif
#if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
    0,
#endif
#if __PYX_NEED_TP_PRINT_SLOT
    0,
#endif
#if PY_VERSION_HEX >= 0x030C0000
    0,
#endif
#if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
    0,
#endif
};
#endif
static int __pyx_Generator_init(PyObject *module) {
#if CYTHON_USE_TYPE_SPECS
    __pyx_GeneratorType = __Pyx_FetchCommonTypeFromSpec(module, &__pyx_GeneratorType_spec, NULL);
#else
    CYTHON_UNUSED_VAR(module);
    __pyx_GeneratorType_type.tp_getattro = __Pyx_PyObject_GenericGetAttrNoDict;
    __pyx_GeneratorType_type.tp_iter = PyObject_SelfIter;
    __pyx_GeneratorType = __Pyx_FetchCommonType(&__pyx_GeneratorType_type);
#endif
    if (unlikely(!__pyx_GeneratorType)) {
        return -1;
    }
    return 0;
}

/* CheckBinaryVersion */
static unsigned long __Pyx_get_runtime_version(void) {
#if __PYX_LIMITED_VERSION_HEX >= 0x030B00A4
    return Py_Version & ~0xFFUL;
#else
    const char* rt_version = Py_GetVersion();
    unsigned long version = 0;
    unsigned long factor = 0x01000000UL;
    unsigned int digit = 0;
    int i = 0;
    while (factor) {
        while ('0' <= rt_version[i] && rt_version[i] <= '9') {
            digit = digit * 10 + (unsigned int) (rt_version[i] - '0');
            ++i;
        }
        version += factor * digit;
        if (rt_version[i] != '.')
            break;
        digit = 0;
        factor >>= 8;
        ++i;
    }
    return version;
#endif
}
static int __Pyx_check_binary_version(unsigned long ct_version, unsigned long rt_version, int allow_newer) {
    const unsigned long MAJOR_MINOR = 0xFFFF0000UL;
    if ((rt_version & MAJOR_MINOR) == (ct_version & MAJOR_MINOR))
        return 0;
    if (likely(allow_newer && (rt_version & MAJOR_MINOR) > (ct_version & MAJOR_MINOR)))
        return 1;
    {
        char message[200];
        PyOS_snprintf(message, sizeof(message),
                      "compile time Python version %d.%d "
                      "of module '%.100s' "
                      "%s "
                      "runtime version %d.%d",
                       (int) (ct_version >> 24), (int) ((ct_version >> 16) & 0xFF),
                       __Pyx_MODULE_NAME,
                       (allow_newer) ? "was newer than" : "does not match",
                       (int) (rt_version >> 24), (int) ((rt_version >> 16) & 0xFF)
       );
        return PyErr_WarnEx(NULL, message, 1);
    }
}

/* InitStrings */
#if PY_MAJOR_VERSION >= 3
static int __Pyx_InitString(__Pyx_StringTabEntry t, PyObject **str) {
    if (t.is_unicode | t.is_str) {
        if (t.intern) {
            *str = PyUnicode_InternFromString(t.s);
        } else if (t.encoding) {
            *str = PyUnicode_Decode(t.s, t.n - 1, t.encoding, NULL);
        } else {
            *str = PyUnicode_FromStringAndSize(t.s, t.n - 1);
        }
    } else {
        *str = PyBytes_FromStringAndSize(t.s, t.n - 1);
    }
    if (!*str)
        return -1;
    if (PyObject_Hash(*str) == -1)
        return -1;
    return 0;
}
#endif
static int __Pyx_InitStrings(__Pyx_StringTabEntry *t) {
    while (t->p) {
        #if PY_MAJOR_VERSION >= 3
        __Pyx_InitString(*t, t->p);
        #else
        if (t->is_unicode) {
            *t->p = PyUnicode_DecodeUTF8(t->s, t->n - 1, NULL);
        } else if (t->intern) {
            *t->p = PyString_InternFromString(t->s);
        } else {
            *t->p = PyString_FromStringAndSize(t->s, t->n - 1);
        }
        if (!*t->p)
            return -1;
        if (PyObject_Hash(*t->p) == -1)
            return -1;
        #endif
        ++t;
    }
    return 0;
}

#include <string.h>
static CYTHON_INLINE Py_ssize_t __Pyx_ssize_strlen(const char *s) {
    size_t len = strlen(s);
    if (unlikely(len > (size_t) PY_SSIZE_T_MAX)) {
        PyErr_SetString(PyExc_OverflowError, "byte string is too long");
        return -1;
    }
    return (Py_ssize_t) len;
}
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char* c_str) {
    Py_ssize_t len = __Pyx_ssize_strlen(c_str);
    if (unlikely(len < 0)) return NULL;
    return __Pyx_PyUnicode_FromStringAndSize(c_str, len);
}
static CYTHON_INLINE PyObject* __Pyx_PyByteArray_FromString(const char* c_str) {
    Py_ssize_t len = __Pyx_ssize_strlen(c_str);
    if (unlikely(len < 0)) return NULL;
    return PyByteArray_FromStringAndSize(c_str, len);
}
static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject* o) {
    Py_ssize_t ignore;
    return __Pyx_PyObject_AsStringAndSize(o, &ignore);
}
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
#if !CYTHON_PEP393_ENABLED
static const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
    char* defenc_c;
    PyObject* defenc = _PyUnicode_AsDefaultEncodedString(o, NULL);
    if (!defenc) return NULL;
    defenc_c = PyBytes_AS_STRING(defenc);
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
    {
        char* end = defenc_c + PyBytes_GET_SIZE(defenc);
        char* c;
        for (c = defenc_c; c < end; c++) {
            if ((unsigned char) (*c) >= 128) {
                PyUnicode_AsASCIIString(o);
                return NULL;
            }
        }
    }
#endif
    *length = PyBytes_GET_SIZE(defenc);
    return defenc_c;
}
#else
static CYTHON_INLINE const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
    if (unlikely(__Pyx_PyUnicode_READY(o) == -1)) return NULL;
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
    if (likely(PyUnicode_IS_ASCII(o))) {
        *length = PyUnicode_GET_LENGTH(o);
        return PyUnicode_AsUTF8(o);
    } else {
        PyUnicode_AsASCIIString(o);
        return NULL;
    }
#else
    return PyUnicode_AsUTF8AndSize(o, length);
#endif
}
#endif
#endif
static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
    if (
#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
            __Pyx_sys_getdefaultencoding_not_ascii &&
#endif
            PyUnicode_Check(o)) {
        return __Pyx_PyUnicode_AsStringAndSize(o, length);
    } else
#endif
#if (!CYTHON_COMPILING_IN_PYPY && !CYTHON_COMPILING_IN_LIMITED_API) || (defined(PyByteArray_AS_STRING) && defined(PyByteArray_GET_SIZE))
    if (PyByteArray_Check(o)) {
        *length = PyByteArray_GET_SIZE(o);
        return PyByteArray_AS_STRING(o);
    } else
#endif
    {
        char* result;
        int r = PyBytes_AsStringAndSize(o, &result, length);
        if (unlikely(r < 0)) {
            return NULL;
        } else {
            return result;
        }
    }
}
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject* x) {
   int is_true = x == Py_True;
   if (is_true | (x == Py_False) | (x == Py_None)) return is_true;
   else return PyObject_IsTrue(x);
}
static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject* x) {
    int retval;
    if (unlikely(!x)) return -1;
    retval = __Pyx_PyObject_IsTrue(x);
    Py_DECREF(x);
    return retval;
}
static PyObject* __Pyx_PyNumber_IntOrLongWrongResultType(PyObject* result, const char* type_name) {
    __Pyx_TypeName result_type_name = __Pyx_PyType_GetName(Py_TYPE(result));
#if PY_MAJOR_VERSION >= 3
    if (PyLong_Check(result)) {
        if (PyErr_WarnFormat(PyExc_DeprecationWarning, 1,
                "__int__ returned non-int (type " __Pyx_FMT_TYPENAME ").  "
                "The ability to return an instance of a strict subclass of int is deprecated, "
                "and may be removed in a future version of Python.",
                result_type_name)) {
            __Pyx_DECREF_TypeName(result_type_name);
            Py_DECREF(result);
            return NULL;
        }
        __Pyx_DECREF_TypeName(result_type_name);
        return result;
    }
#endif
    PyErr_Format(PyExc_TypeError,
                 "__%.4s__ returned non-%.4s (type " __Pyx_FMT_TYPENAME ")",
                 type_name, type_name, result_type_name);
    __Pyx_DECREF_TypeName(result_type_name);
    Py_DECREF(result);
    return NULL;
}
static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x) {
#if CYTHON_USE_TYPE_SLOTS
  PyNumberMethods *m;
#endif
  const char *name = NULL;
  PyObject *res = NULL;
#if PY_MAJOR_VERSION < 3
  if (likely(PyInt_Check(x) || PyLong_Check(x)))
#else
  if (likely(PyLong_Check(x)))
#endif
    return __Pyx_NewRef(x);
#if CYTHON_USE_TYPE_SLOTS
  m = Py_TYPE(x)->tp_as_number;
  #if PY_MAJOR_VERSION < 3
  if (m && m->nb_int) {
    name = "int";
    res = m->nb_int(x);
  }
  else if (m && m->nb_long) {
    name = "long";
    res = m->nb_long(x);
  }
  #else
  if (likely(m && m->nb_int)) {
    name = "int";
    res = m->nb_int(x);
  }
  #endif
#else
  if (!PyBytes_CheckExact(x) && !PyUnicode_CheckExact(x)) {
    res = PyNumber_Int(x);
  }
#endif
  if (likely(res)) {
#if PY_MAJOR_VERSION < 3
    if (unlikely(!PyInt_Check(res) && !PyLong_Check(res))) {
#else
    if (unlikely(!PyLong_CheckExact(res))) {
#endif
        return __Pyx_PyNumber_IntOrLongWrongResultType(res, name);
    }
  }
  else if (!PyErr_Occurred()) {
    PyErr_SetString(PyExc_TypeError,
                    "an integer is required");
  }
  return res;
}
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) {
  Py_ssize_t ival;
  PyObject *x;
#if PY_MAJOR_VERSION < 3
  if (likely(PyInt_CheckExact(b))) {
    if (sizeof(Py_ssize_t) >= sizeof(long))
        return PyInt_AS_LONG(b);
    else
        return PyInt_AsSsize_t(b);
  }
#endif
  if (likely(PyLong_CheckExact(b))) {
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(__Pyx_PyLong_IsCompact(b))) {
        return __Pyx_PyLong_CompactValue(b);
    } else {
      const digit* digits = __Pyx_PyLong_Digits(b);
      const Py_ssize_t size = __Pyx_PyLong_SignedDigitCount(b);
      switch (size) {
         case 2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case 3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case 4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
      }
    }
    #endif
    return PyLong_AsSsize_t(b);
  }
  x = PyNumber_Index(b);
  if (!x) return -1;
  ival = PyInt_AsSsize_t(x);
  Py_DECREF(x);
  return ival;
}
static CYTHON_INLINE Py_hash_t __Pyx_PyIndex_AsHash_t(PyObject* o) {
  if (sizeof(Py_hash_t) == sizeof(Py_ssize_t)) {
    return (Py_hash_t) __Pyx_PyIndex_AsSsize_t(o);
#if PY_MAJOR_VERSION < 3
  } else if (likely(PyInt_CheckExact(o))) {
    return PyInt_AS_LONG(o);
#endif
  } else {
    Py_ssize_t ival;
    PyObject *x;
    x = PyNumber_Index(o);
    if (!x) return -1;
    ival = PyInt_AsLong(x);
    Py_DECREF(x);
    return ival;
  }
}
static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b) {
  return b ? __Pyx_NewRef(Py_True) : __Pyx_NewRef(Py_False);
}
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
    return PyInt_FromSize_t(ival);
}


/* #### Code section: utility_code_pragmas_end ### */
#ifdef _MSC_VER
#pragma warning( pop )
#endif



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