/* Generated by Cython 3.2.4 */

#ifndef PY_SSIZE_T_CLEAN
#define PY_SSIZE_T_CLEAN
#endif /* PY_SSIZE_T_CLEAN */
/* InitLimitedAPI */
#if defined(Py_LIMITED_API)
  #if !defined(CYTHON_LIMITED_API)
  #define CYTHON_LIMITED_API 1
  #endif
#elif defined(CYTHON_LIMITED_API)
  #ifdef _MSC_VER
  #pragma message ("Limited API usage is enabled with 'CYTHON_LIMITED_API' but 'Py_LIMITED_API' does not define a Python target version. Consider setting 'Py_LIMITED_API' instead.")
  #else
  #warning Limited API usage is enabled with 'CYTHON_LIMITED_API' but 'Py_LIMITED_API' does not define a Python target version. Consider setting 'Py_LIMITED_API' instead.
  #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 < 0x03080000
    #error Cython requires Python 3.8+.
#else
#define __PYX_ABI_VERSION "3_2_4"
#define CYTHON_HEX_VERSION 0x030204F0
#define CYTHON_FUTURE_DIVISION 1
/* CModulePreamble */
#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 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_CPYTHON_FREETHREADING 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
  #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_AVOID_THREAD_UNSAFE_BORROWED_REFS
  #define CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS 0
  #undef CYTHON_ASSUME_SAFE_MACROS
  #define CYTHON_ASSUME_SAFE_MACROS 0
  #undef CYTHON_ASSUME_SAFE_SIZE
  #define CYTHON_ASSUME_SAFE_SIZE 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 1
  #undef CYTHON_USE_MODULE_STATE
  #define CYTHON_USE_MODULE_STATE 0
  #undef CYTHON_USE_SYS_MONITORING
  #define CYTHON_USE_SYS_MONITORING 0
  #undef CYTHON_USE_TP_FINALIZE
  #define CYTHON_USE_TP_FINALIZE 0
  #undef CYTHON_USE_AM_SEND
  #define CYTHON_USE_AM_SEND 0
  #undef CYTHON_USE_DICT_VERSIONS
  #define CYTHON_USE_DICT_VERSIONS 0
  #undef CYTHON_USE_EXC_INFO_STACK
  #define CYTHON_USE_EXC_INFO_STACK 1
  #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC
    #define CYTHON_UPDATE_DESCRIPTOR_DOC 0
  #endif
  #undef CYTHON_USE_FREELISTS
  #define CYTHON_USE_FREELISTS 0
  #undef CYTHON_IMMORTAL_CONSTANTS
  #define CYTHON_IMMORTAL_CONSTANTS 0
#elif defined(PYPY_VERSION)
  #define CYTHON_COMPILING_IN_PYPY 1
  #define CYTHON_COMPILING_IN_CPYTHON 0
  #define CYTHON_COMPILING_IN_LIMITED_API 0
  #define CYTHON_COMPILING_IN_GRAAL 0
  #define CYTHON_COMPILING_IN_CPYTHON_FREETHREADING 0
  #undef CYTHON_USE_TYPE_SLOTS
  #define CYTHON_USE_TYPE_SLOTS 1
  #ifndef CYTHON_USE_TYPE_SPECS
    #define CYTHON_USE_TYPE_SPECS 0
  #endif
  #undef CYTHON_USE_PYTYPE_LOOKUP
  #define CYTHON_USE_PYTYPE_LOOKUP 0
  #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_AVOID_THREAD_UNSAFE_BORROWED_REFS
  #define CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS 1
  #undef CYTHON_ASSUME_SAFE_MACROS
  #define CYTHON_ASSUME_SAFE_MACROS 0
  #ifndef CYTHON_ASSUME_SAFE_SIZE
    #define CYTHON_ASSUME_SAFE_SIZE 1
  #endif
  #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
  #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_SYS_MONITORING
  #define CYTHON_USE_SYS_MONITORING 0
  #ifndef CYTHON_USE_TP_FINALIZE
    #define CYTHON_USE_TP_FINALIZE (PYPY_VERSION_NUM >= 0x07030C00)
  #endif
  #undef CYTHON_USE_AM_SEND
  #define CYTHON_USE_AM_SEND 0
  #undef CYTHON_USE_DICT_VERSIONS
  #define CYTHON_USE_DICT_VERSIONS 0
  #undef CYTHON_USE_EXC_INFO_STACK
  #define CYTHON_USE_EXC_INFO_STACK 0
  #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC
    #define CYTHON_UPDATE_DESCRIPTOR_DOC (PYPY_VERSION_NUM >= 0x07031100)
  #endif
  #undef CYTHON_USE_FREELISTS
  #define CYTHON_USE_FREELISTS 0
  #undef CYTHON_IMMORTAL_CONSTANTS
  #define CYTHON_IMMORTAL_CONSTANTS 0
#elif defined(CYTHON_LIMITED_API)
  #ifdef Py_LIMITED_API
    #undef __PYX_LIMITED_VERSION_HEX
    #define __PYX_LIMITED_VERSION_HEX Py_LIMITED_API
  #endif
  #define CYTHON_COMPILING_IN_PYPY 0
  #define CYTHON_COMPILING_IN_CPYTHON 0
  #define CYTHON_COMPILING_IN_LIMITED_API 1
  #define CYTHON_COMPILING_IN_GRAAL 0
  #define CYTHON_COMPILING_IN_CPYTHON_FREETHREADING 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_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
  #ifndef CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS
    #define CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS 0
  #endif
  #undef CYTHON_ASSUME_SAFE_MACROS
  #define CYTHON_ASSUME_SAFE_MACROS 0
  #undef CYTHON_ASSUME_SAFE_SIZE
  #define CYTHON_ASSUME_SAFE_SIZE 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 (__PYX_LIMITED_VERSION_HEX >= 0x030C0000)
  #undef CYTHON_FAST_PYCALL
  #define CYTHON_FAST_PYCALL 0
  #ifndef CYTHON_PEP487_INIT_SUBCLASS
    #define CYTHON_PEP487_INIT_SUBCLASS 1
  #endif
  #ifndef CYTHON_PEP489_MULTI_PHASE_INIT
    #define CYTHON_PEP489_MULTI_PHASE_INIT 1
  #endif
  #ifndef CYTHON_USE_MODULE_STATE
    #define CYTHON_USE_MODULE_STATE 0
  #endif
  #undef CYTHON_USE_SYS_MONITORING
  #define CYTHON_USE_SYS_MONITORING 0
  #ifndef CYTHON_USE_TP_FINALIZE
    #define CYTHON_USE_TP_FINALIZE 0
  #endif
  #ifndef CYTHON_USE_AM_SEND
    #define CYTHON_USE_AM_SEND (__PYX_LIMITED_VERSION_HEX >= 0x030A0000)
  #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
  #ifndef CYTHON_USE_FREELISTS
  #define CYTHON_USE_FREELISTS 1
  #endif
  #undef CYTHON_IMMORTAL_CONSTANTS
  #define CYTHON_IMMORTAL_CONSTANTS 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
  #ifdef Py_GIL_DISABLED
    #define CYTHON_COMPILING_IN_CPYTHON_FREETHREADING 1
  #else
    #define CYTHON_COMPILING_IN_CPYTHON_FREETHREADING 0
  #endif
  #if PY_VERSION_HEX < 0x030A0000
    #undef CYTHON_USE_TYPE_SLOTS
    #define CYTHON_USE_TYPE_SLOTS 1
  #elif !defined(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
  #ifndef CYTHON_USE_PYLONG_INTERNALS
    #define CYTHON_USE_PYLONG_INTERNALS 1
  #endif
  #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    #undef CYTHON_USE_PYLIST_INTERNALS
    #define CYTHON_USE_PYLIST_INTERNALS 0
  #elif !defined(CYTHON_USE_PYLIST_INTERNALS)
    #define CYTHON_USE_PYLIST_INTERNALS 1
  #endif
  #ifndef CYTHON_USE_UNICODE_INTERNALS
    #define CYTHON_USE_UNICODE_INTERNALS 1
  #endif
  #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING || 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
  #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    #undef CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS
    #define CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS 1
  #elif !defined(CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS)
    #define CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS 0
  #endif
  #ifndef CYTHON_ASSUME_SAFE_MACROS
    #define CYTHON_ASSUME_SAFE_MACROS 1
  #endif
  #ifndef CYTHON_ASSUME_SAFE_SIZE
    #define CYTHON_ASSUME_SAFE_SIZE 1
  #endif
  #ifndef CYTHON_UNPACK_METHODS
    #define CYTHON_UNPACK_METHODS 1
  #endif
  #ifndef CYTHON_FAST_THREAD_STATE
    #define CYTHON_FAST_THREAD_STATE 1
  #endif
  #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    #undef CYTHON_FAST_GIL
    #define CYTHON_FAST_GIL 0
  #elif !defined(CYTHON_FAST_GIL)
    #define CYTHON_FAST_GIL (PY_VERSION_HEX < 0x030C00A6)
  #endif
  #ifndef CYTHON_METH_FASTCALL
    #define CYTHON_METH_FASTCALL 1
  #endif
  #ifndef CYTHON_FAST_PYCALL
    #define CYTHON_FAST_PYCALL 1
  #endif
  #ifndef CYTHON_PEP487_INIT_SUBCLASS
    #define CYTHON_PEP487_INIT_SUBCLASS 1
  #endif
  #ifndef CYTHON_PEP489_MULTI_PHASE_INIT
    #define CYTHON_PEP489_MULTI_PHASE_INIT 1
  #endif
  #ifndef CYTHON_USE_MODULE_STATE
    #define CYTHON_USE_MODULE_STATE 0
  #endif
  #ifndef CYTHON_USE_SYS_MONITORING
    #define CYTHON_USE_SYS_MONITORING (PY_VERSION_HEX >= 0x030d00B1)
  #endif
  #ifndef CYTHON_USE_TP_FINALIZE
    #define CYTHON_USE_TP_FINALIZE 1
  #endif
  #ifndef CYTHON_USE_AM_SEND
    #define CYTHON_USE_AM_SEND 1
  #endif
  #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    #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 && !CYTHON_USE_MODULE_STATE)
  #endif
  #ifndef CYTHON_USE_EXC_INFO_STACK
    #define CYTHON_USE_EXC_INFO_STACK 1
  #endif
  #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC
    #define CYTHON_UPDATE_DESCRIPTOR_DOC 1
  #endif
  #ifndef CYTHON_USE_FREELISTS
    #define CYTHON_USE_FREELISTS (!CYTHON_COMPILING_IN_CPYTHON_FREETHREADING)
  #endif
  #if defined(CYTHON_IMMORTAL_CONSTANTS) && PY_VERSION_HEX < 0x030C0000
    #undef CYTHON_IMMORTAL_CONSTANTS
    #define CYTHON_IMMORTAL_CONSTANTS 0  // definitely won't work
  #elif !defined(CYTHON_IMMORTAL_CONSTANTS)
    #define CYTHON_IMMORTAL_CONSTANTS (PY_VERSION_HEX >= 0x030C0000 && !CYTHON_USE_MODULE_STATE && CYTHON_COMPILING_IN_CPYTHON_FREETHREADING)
  #endif
#endif
#ifndef CYTHON_COMPRESS_STRINGS
  #define CYTHON_COMPRESS_STRINGS 1
#endif
#ifndef CYTHON_FAST_PYCCALL
#define CYTHON_FAST_PYCCALL  CYTHON_FAST_PYCALL
#endif
#ifndef CYTHON_VECTORCALL
#if CYTHON_COMPILING_IN_LIMITED_API
#define CYTHON_VECTORCALL  (__PYX_LIMITED_VERSION_HEX >= 0x030C0000)
#else
#define CYTHON_VECTORCALL  (CYTHON_FAST_PYCCALL)
#endif
#endif
#if CYTHON_USE_PYLONG_INTERNALS
  #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 && !CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
#  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)
#include <stdint.h>
typedef uintptr_t  __pyx_uintptr_t;
#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
#ifndef Py_UNREACHABLE
  #define Py_UNREACHABLE()  assert(0); abort()
#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 < 0x030A0000)
#else
  #define __PYX_NEED_TP_PRINT_SLOT  (PY_VERSION_HEX < 0x03090000)
#endif
#define __PYX_REINTERPRET_FUNCION(func_pointer, other_pointer) ((func_pointer)(void(*)(void))(other_pointer))

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

/* PythonCompatibility */
#define __PYX_BUILD_PY_SSIZE_T "n"
#define CYTHON_FORMAT_SSIZE_T "z"
#define __Pyx_BUILTIN_MODULE_NAME "builtins"
#define __Pyx_DefaultClassType PyType_Type
#if CYTHON_COMPILING_IN_LIMITED_API
    #ifndef CO_OPTIMIZED
    static int CO_OPTIMIZED;
    #endif
    #ifndef CO_NEWLOCALS
    static int CO_NEWLOCALS;
    #endif
    #ifndef CO_VARARGS
    static int CO_VARARGS;
    #endif
    #ifndef CO_VARKEYWORDS
    static int CO_VARKEYWORDS;
    #endif
    #ifndef CO_ASYNC_GENERATOR
    static int CO_ASYNC_GENERATOR;
    #endif
    #ifndef CO_GENERATOR
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static int __Pyx_init_co_variables(void);
#if PY_VERSION_HEX >= 0x030900A4 || defined(Py_IS_TYPE)
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  #define __Pyx_Py_Is(x, y) ((x) == (y))
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  #define __Pyx_Py_IsNone(ob) Py_IsNone(ob)
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  #define __Pyx_Py_IsNone(ob) __Pyx_Py_Is((ob), Py_None)
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#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_IsTrue)
  #define __Pyx_Py_IsTrue(ob) Py_IsTrue(ob)
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  #define __Pyx_Py_IsTrue(ob) __Pyx_Py_Is((ob), Py_True)
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  #define __Pyx_Py_IsFalse(ob) __Pyx_Py_Is((ob), Py_False)
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#define __Pyx_NoneAsNull(obj)  (__Pyx_Py_IsNone(obj) ? NULL : (obj))
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  #define __Pyx_PyObject_GC_IsFinalized(o) PyObject_GC_IsFinalized(o)
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  #define __Pyx_PyObject_GC_IsFinalized(o) _PyGC_FINALIZED(o)
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#ifndef Py_TPFLAGS_CHECKTYPES
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#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
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#ifndef Py_TPFLAGS_SEQUENCE
  #define Py_TPFLAGS_SEQUENCE 0
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#ifndef Py_TPFLAGS_MAPPING
  #define Py_TPFLAGS_MAPPING 0
#endif
#ifndef Py_TPFLAGS_IMMUTABLETYPE
  #define Py_TPFLAGS_IMMUTABLETYPE (1UL << 8)
#endif
#ifndef Py_TPFLAGS_DISALLOW_INSTANTIATION
  #define Py_TPFLAGS_DISALLOW_INSTANTIATION (1UL << 7)
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#ifndef METH_STACKLESS
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#ifndef METH_FASTCALL
  #ifndef METH_FASTCALL
     #define METH_FASTCALL 0x80
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  typedef PyObject *(*__Pyx_PyCFunctionFast) (PyObject *self, PyObject *const *args, Py_ssize_t nargs);
  typedef PyObject *(*__Pyx_PyCFunctionFastWithKeywords) (PyObject *self, PyObject *const *args,
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  #if PY_VERSION_HEX >= 0x030d00A4
  #  define __Pyx_PyCFunctionFast PyCFunctionFast
  #  define __Pyx_PyCFunctionFastWithKeywords PyCFunctionFastWithKeywords
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  #  define __Pyx_PyCFunctionFast _PyCFunctionFast
  #  define __Pyx_PyCFunctionFastWithKeywords _PyCFunctionFastWithKeywords
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#if CYTHON_METH_FASTCALL
  #define __Pyx_METH_FASTCALL METH_FASTCALL
  #define __Pyx_PyCFunction_FastCall __Pyx_PyCFunctionFast
  #define __Pyx_PyCFunction_FastCallWithKeywords __Pyx_PyCFunctionFastWithKeywords
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  #define __Pyx_METH_FASTCALL METH_VARARGS
  #define __Pyx_PyCFunction_FastCall PyCFunction
  #define __Pyx_PyCFunction_FastCallWithKeywords PyCFunctionWithKeywords
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#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))
#else
  #define __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET  0
  #define __Pyx_PyVectorcall_NARGS(n)  ((Py_ssize_t)(n))
#endif
#if PY_VERSION_HEX >= 0x030900B1
#define __Pyx_PyCFunction_CheckExact(func)  PyCFunction_CheckExact(func)
#else
#define __Pyx_PyCFunction_CheckExact(func)  PyCFunction_Check(func)
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#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) {
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}
#endif
static CYTHON_INLINE int __Pyx__IsSameCFunction(PyObject *func, void (*cfunc)(void)) {
#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 PY_VERSION_HEX < 0x03090000 || (CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000)
  #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
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#ifndef METH_METHOD
  #define METH_METHOD 0x200
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#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_PyFrame_SetLineNumber(frame, lineno)
#elif CYTHON_COMPILING_IN_GRAAL && defined(GRAALPY_VERSION_NUM) && GRAALPY_VERSION_NUM > 0x19000000
  #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno) GraalPyFrame_SetLineNumber((frame), (lineno))
#elif CYTHON_COMPILING_IN_GRAAL
  #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno) _PyFrame_SetLineNumber((frame), (lineno))
#else
  #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno)  (frame)->f_lineno = (lineno)
#endif
#if CYTHON_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()
#else
  #define __Pyx_PyThreadState_Current _PyThreadState_UncheckedGet()
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#if CYTHON_USE_MODULE_STATE
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;
}
#define __Pyx_PyModule_GetState(o) (__pyx_mstatetype *)__Pyx__PyModule_GetState(o)
#else
#define __Pyx_PyModule_GetState(op) ((void)op,__pyx_mstate_global)
#endif
#define __Pyx_PyObject_GetSlot(obj, name, func_ctype)  __Pyx_PyType_GetSlot(Py_TYPE((PyObject *) obj), name, func_ctype)
#define __Pyx_PyObject_TryGetSlot(obj, name, func_ctype) __Pyx_PyType_TryGetSlot(Py_TYPE(obj), name, func_ctype)
#define __Pyx_PyObject_GetSubSlot(obj, sub, name, func_ctype) __Pyx_PyType_GetSubSlot(Py_TYPE(obj), sub, name, func_ctype)
#define __Pyx_PyObject_TryGetSubSlot(obj, sub, name, func_ctype) __Pyx_PyType_TryGetSubSlot(Py_TYPE(obj), sub, name, func_ctype)
#if CYTHON_USE_TYPE_SLOTS
  #define __Pyx_PyType_GetSlot(type, name, func_ctype)  ((type)->name)
  #define __Pyx_PyType_TryGetSlot(type, name, func_ctype) __Pyx_PyType_GetSlot(type, name, func_ctype)
  #define __Pyx_PyType_GetSubSlot(type, sub, name, func_ctype) (((type)->sub) ? ((type)->sub->name) : NULL)
  #define __Pyx_PyType_TryGetSubSlot(type, sub, name, func_ctype) __Pyx_PyType_GetSubSlot(type, sub, name, func_ctype)
#else
  #define __Pyx_PyType_GetSlot(type, name, func_ctype)  ((func_ctype) PyType_GetSlot((type), Py_##name))
  #define __Pyx_PyType_TryGetSlot(type, name, func_ctype)\
    ((__PYX_LIMITED_VERSION_HEX >= 0x030A0000 ||\
     (PyType_GetFlags(type) & Py_TPFLAGS_HEAPTYPE) || __Pyx_get_runtime_version() >= 0x030A0000) ?\
     __Pyx_PyType_GetSlot(type, name, func_ctype) : NULL)
  #define __Pyx_PyType_GetSubSlot(obj, sub, name, func_ctype) __Pyx_PyType_GetSlot(obj, name, func_ctype)
  #define __Pyx_PyType_TryGetSubSlot(obj, sub, name, func_ctype) __Pyx_PyType_TryGetSlot(obj, name, func_ctype)
#endif
#if CYTHON_COMPILING_IN_CPYTHON || defined(_PyDict_NewPresized)
#define __Pyx_PyDict_NewPresized(n)  ((n <= 8) ? PyDict_New() : _PyDict_NewPresized(n))
#else
#define __Pyx_PyDict_NewPresized(n)  PyDict_New()
#endif
#define __Pyx_PyNumber_Divide(x,y)         PyNumber_TrueDivide(x,y)
#define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceTrueDivide(x,y)
#if CYTHON_COMPILING_IN_CPYTHON && 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 !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)
#else
  #define __Pyx_PyType_GetFlags(tp)   (PyType_GetFlags((PyTypeObject *)tp))
  #define __Pyx_PyType_HasFeature(type, feature)  PyType_HasFeature(type, feature)
#endif
#define __Pyx_PyObject_GetIterNextFunc(iterator)  __Pyx_PyObject_GetSlot(iterator, tp_iternext, iternextfunc)
#if CYTHON_USE_TYPE_SPECS
#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 __Pyx_PyUnicode_READY(op)       (0)
  #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))
#else
  #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_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
#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)
    #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_PyUnicode_FormatSafe(a, b)  ((unlikely((a) == Py_None || (PyUnicode_Check(b) && !PyUnicode_CheckExact(b)))) ? PyNumber_Remainder(a, b) : PyUnicode_Format(a, b))
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  #define __Pyx_PySequence_ListKeepNew(obj)\
    (likely(PyList_CheckExact(obj) && PyUnstable_Object_IsUniquelyReferenced(obj)) ? __Pyx_NewRef(obj) : PySequence_List(obj))
#elif 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
enum __Pyx_ReferenceSharing {
  __Pyx_ReferenceSharing_DefinitelyUnique, // We created it so we know it's unshared - no need to check
  __Pyx_ReferenceSharing_OwnStrongReference,
  __Pyx_ReferenceSharing_FunctionArgument,
  __Pyx_ReferenceSharing_SharedReference, // Never trust it to be unshared because it's a global or similar
};
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING && PY_VERSION_HEX >= 0x030E0000
#define __Pyx_IS_UNIQUELY_REFERENCED(o, sharing)\
    (sharing == __Pyx_ReferenceSharing_DefinitelyUnique ? 1 :\
      (sharing == __Pyx_ReferenceSharing_FunctionArgument ? PyUnstable_Object_IsUniqueReferencedTemporary(o) :\
      (sharing == __Pyx_ReferenceSharing_OwnStrongReference ? PyUnstable_Object_IsUniquelyReferenced(o) : 0)))
#elif (CYTHON_COMPILING_IN_CPYTHON && !CYTHON_COMPILING_IN_CPYTHON_FREETHREADING) || CYTHON_COMPILING_IN_LIMITED_API
#define __Pyx_IS_UNIQUELY_REFERENCED(o, sharing) (((void)sharing), Py_REFCNT(o) == 1)
#else
#define __Pyx_IS_UNIQUELY_REFERENCED(o, sharing) (((void)o), ((void)sharing), 0)
#endif
#if CYTHON_AVOID_BORROWED_REFS || CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS
  #if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
    #define __Pyx_PyList_GetItemRef(o, i) PyList_GetItemRef(o, i)
  #elif CYTHON_COMPILING_IN_LIMITED_API || !CYTHON_ASSUME_SAFE_MACROS
    #define __Pyx_PyList_GetItemRef(o, i) (likely((i) >= 0) ? PySequence_GetItem(o, i) : (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL))
  #else
    #define __Pyx_PyList_GetItemRef(o, i) PySequence_ITEM(o, i)
  #endif
#elif CYTHON_COMPILING_IN_LIMITED_API || !CYTHON_ASSUME_SAFE_MACROS
  #if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
    #define __Pyx_PyList_GetItemRef(o, i) PyList_GetItemRef(o, i)
  #else
    #define __Pyx_PyList_GetItemRef(o, i) __Pyx_XNewRef(PyList_GetItem(o, i))
  #endif
#else
  #define __Pyx_PyList_GetItemRef(o, i) __Pyx_NewRef(PyList_GET_ITEM(o, i))
#endif
#if CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS && !CYTHON_COMPILING_IN_LIMITED_API && CYTHON_ASSUME_SAFE_MACROS
  #define __Pyx_PyList_GetItemRefFast(o, i, unsafe_shared) (__Pyx_IS_UNIQUELY_REFERENCED(o, unsafe_shared) ?\
    __Pyx_NewRef(PyList_GET_ITEM(o, i)) : __Pyx_PyList_GetItemRef(o, i))
#else
  #define __Pyx_PyList_GetItemRefFast(o, i, unsafe_shared) __Pyx_PyList_GetItemRef(o, i)
#endif
#if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
#define __Pyx_PyDict_GetItemRef(dict, key, result) PyDict_GetItemRef(dict, key, result)
#elif CYTHON_AVOID_BORROWED_REFS || CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS
static CYTHON_INLINE int __Pyx_PyDict_GetItemRef(PyObject *dict, PyObject *key, PyObject **result) {
  *result = PyObject_GetItem(dict, key);
  if (*result == NULL) {
    if (PyErr_ExceptionMatches(PyExc_KeyError)) {
      PyErr_Clear();
      return 0;
    }
    return -1;
  }
  return 1;
}
#else
static CYTHON_INLINE int __Pyx_PyDict_GetItemRef(PyObject *dict, PyObject *key, PyObject **result) {
  *result = PyDict_GetItemWithError(dict, key);
  if (*result == NULL) {
    return PyErr_Occurred() ? -1 : 0;
  }
  Py_INCREF(*result);
  return 1;
}
#endif
#if defined(CYTHON_DEBUG_VISIT_CONST) && CYTHON_DEBUG_VISIT_CONST
  #define __Pyx_VISIT_CONST(obj)  Py_VISIT(obj)
#else
  #define __Pyx_VISIT_CONST(obj)
#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_PyTuple_GET_ITEM(o, i) PyTuple_GET_ITEM(o, i)
  #define __Pyx_PyList_SET_ITEM(o, i, v) (PyList_SET_ITEM(o, i, v), (0))
  #define __Pyx_PyList_GET_ITEM(o, i) PyList_GET_ITEM(o, i)
#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_PyTuple_GET_ITEM(o, i) PyTuple_GetItem(o, i)
  #define __Pyx_PyList_SET_ITEM(o, i, v) PyList_SetItem(o, i, v)
  #define __Pyx_PyList_GET_ITEM(o, i) PyList_GetItem(o, i)
#endif
#if CYTHON_ASSUME_SAFE_SIZE
  #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)
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  #define __Pyx_PyTuple_GET_SIZE(o) PyTuple_Size(o)
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#if CYTHON_COMPILING_IN_PYPY && !defined(PyUnicode_InternFromString)
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#define __Pyx_PyLong_FromHash_t PyLong_FromSsize_t
#define __Pyx_PyLong_AsHash_t   __Pyx_PyIndex_AsSsize_t
#if __PYX_LIMITED_VERSION_HEX >= 0x030A0000
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#if CYTHON_COMPILING_IN_LIMITED_API || PY_VERSION_HEX < 0x030A00A3
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#define __PYX_HAS_PY_AM_SEND 0
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#define __PYX_HAS_PY_AM_SEND 1
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#if CYTHON_USE_AM_SEND && PY_VERSION_HEX < 0x030A00F0
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#if PY_VERSION_HEX >= 0x03090000
#define __Pyx_PyInterpreterState_Get() PyInterpreterState_Get()
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#define __Pyx_PyInterpreterState_Get() PyThreadState_Get()->interp
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#ifdef __cplusplus
extern "C"
#endif
PyAPI_FUNC(void *) PyMem_Calloc(size_t nelem, size_t elsize);
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static int __Pyx_init_co_variable(PyObject *inspect, const char* name, int *write_to) {
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#include <math.h>
#if defined(__CYGWIN__) && defined(_LDBL_EQ_DBL)
#define __Pyx_truncl trunc
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#define __Pyx_truncl truncl
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#ifndef CYTHON_CLINE_IN_TRACEBACK_RUNTIME
#define CYTHON_CLINE_IN_TRACEBACK_RUNTIME 0
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#ifndef CYTHON_CLINE_IN_TRACEBACK
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#elif defined(__PYX_EXTERN_C)
    #ifdef _MSC_VER
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#define __PYX_HAVE__randompack___core
#define __PYX_HAVE_API__randompack___core
/* Early includes */
#include <stddef.h>
#include <stdint.h>
#include "randompack.h"
#include <string.h>
#include <stdio.h>

    /* Using NumPy API declarations from "numpy/__init__.cython-30.pxd" */
    
#include "numpy/arrayobject.h"
#include "numpy/ndarrayobject.h"
#include "numpy/ndarraytypes.h"
#include "numpy/arrayscalars.h"
#include "numpy/ufuncobject.h"
#include <limits.h>
#ifdef _OPENMP
#include <omp.h>
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#if defined(PYREX_WITHOUT_ASSERTIONS) && !defined(CYTHON_WITHOUT_ASSERTIONS)
#define CYTHON_WITHOUT_ASSERTIONS
#endif

#ifdef CYTHON_FREETHREADING_COMPATIBLE
#if CYTHON_FREETHREADING_COMPATIBLE
#define __Pyx_FREETHREADING_COMPATIBLE Py_MOD_GIL_NOT_USED
#else
#define __Pyx_FREETHREADING_COMPATIBLE Py_MOD_GIL_USED
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#define __Pyx_FREETHREADING_COMPATIBLE Py_MOD_GIL_USED
#endif
#define __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 0
#define __PYX_DEFAULT_STRING_ENCODING_IS_UTF8 0
#define __PYX_DEFAULT_STRING_ENCODING ""
#define __Pyx_PyObject_FromString __Pyx_PyBytes_FromString
#define __Pyx_PyObject_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
#define __Pyx_uchar_cast(c) ((unsigned char)c)
#define __Pyx_long_cast(x) ((long)x)
#define __Pyx_fits_Py_ssize_t(v, type, is_signed)  (\
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                                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) {
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}
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#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)
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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 CYTHON_ASSUME_SAFE_MACROS
    #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_PyByteArray_AsString(s) PyByteArray_AS_STRING(s)
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    #define __Pyx_PyBytes_AsWritableString(s)     ((char*) PyBytes_AsString(s))
    #define __Pyx_PyBytes_AsWritableSString(s)    ((signed char*) PyBytes_AsString(s))
    #define __Pyx_PyBytes_AsWritableUString(s)    ((unsigned char*) PyBytes_AsString(s))
    #define __Pyx_PyBytes_AsString(s)     ((const char*) PyBytes_AsString(s))
    #define __Pyx_PyBytes_AsSString(s)    ((const signed char*) PyBytes_AsString(s))
    #define __Pyx_PyBytes_AsUString(s)    ((const unsigned char*) PyBytes_AsString(s))
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#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_PyUnicode_FromCString(s) __Pyx_PyUnicode_FromString((const char*)s)
#define __Pyx_PyUnicode_FromOrdinal(o)       PyUnicode_FromOrdinal((int)o)
#define __Pyx_PyUnicode_AsUnicode            PyUnicode_AsUnicode
static CYTHON_INLINE PyObject *__Pyx_NewRef(PyObject *obj) {
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030a0000 || defined(Py_NewRef)
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#else
    Py_INCREF(obj);
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}
static CYTHON_INLINE PyObject *__Pyx_XNewRef(PyObject *obj) {
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#else
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}
static CYTHON_INLINE PyObject *__Pyx_Owned_Py_None(int b);
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_Long(PyObject* x);
#define __Pyx_PySequence_Tuple(obj)\
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static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);
static CYTHON_INLINE PyObject * __Pyx_PyLong_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))
#define __Pyx_PyFloat_AS_DOUBLE(x) PyFloat_AS_DOUBLE(x)
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#define __Pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x)
#define __Pyx_PyFloat_AS_DOUBLE(x) PyFloat_AsDouble(x)
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#define __Pyx_PyFloat_AsFloat(x) ((float) __Pyx_PyFloat_AsDouble(x))
#define __Pyx_PyNumber_Int(x) (PyLong_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Long(x))
#if CYTHON_USE_PYLONG_INTERNALS
  #if PY_VERSION_HEX >= 0x030C00A7
  #ifndef _PyLong_SIGN_MASK
    #define _PyLong_SIGN_MASK 3
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  #ifndef _PyLong_NON_SIZE_BITS
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  #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])
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  #define __Pyx_PyLong_SignedDigitCount(x)\
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    #define __Pyx_PyLong_CompactValue(x)  PyUnstable_Long_CompactValue((PyLongObject*) x)
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    #define __Pyx_PyLong_CompactValue(x)  ((1 - (Py_ssize_t) __Pyx_PyLong_Sign(x)) * (Py_ssize_t) __Pyx_PyLong_Digits(x)[0])
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  #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)\
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/* Test for GCC > 2.95 */
#if defined(__GNUC__)     && (__GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95)))
  #define likely(x)   __builtin_expect(!!(x), 1)
  #define unlikely(x) __builtin_expect(!!(x), 0)
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  #define likely(x)   (x)
  #define unlikely(x) (x)
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/* PretendToInitialize */
#ifdef __cplusplus
#if __cplusplus > 201103L
#include <type_traits>
#endif
template <typename T>
static void __Pyx_pretend_to_initialize(T* ptr) {
#if __cplusplus > 201103L
    if ((std::is_trivially_default_constructible<T>::value))
#endif
        *ptr = T();
    (void)ptr;
}
#else
static CYTHON_INLINE void __Pyx_pretend_to_initialize(void* ptr) { (void)ptr; }
#endif


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

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

static const char* const __pyx_f[] = {
  "randompack/_core.pyx",
  "../../../../../../opt/homebrew/anaconda3/envs/randompack-py/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd",
  "<stringsource>",
  "cpython/type.pxd",
};
/* #### Code section: utility_code_proto_before_types ### */
/* Atomics.proto (used by UnpackUnboundCMethod) */
#include <pythread.h>
#ifndef CYTHON_ATOMICS
    #define CYTHON_ATOMICS 1
#endif
#define __PYX_CYTHON_ATOMICS_ENABLED() CYTHON_ATOMICS
#define __PYX_GET_CYTHON_COMPILING_IN_CPYTHON_FREETHREADING() CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
#define __pyx_atomic_int_type int
#define __pyx_nonatomic_int_type int
#if CYTHON_ATOMICS && (defined(__STDC_VERSION__) &&\
                        (__STDC_VERSION__ >= 201112L) &&\
                        !defined(__STDC_NO_ATOMICS__))
    #include <stdatomic.h>
#elif CYTHON_ATOMICS && (defined(__cplusplus) && (\
                    (__cplusplus >= 201103L) ||\
                    (defined(_MSC_VER) && _MSC_VER >= 1700)))
    #include <atomic>
#endif
#if CYTHON_ATOMICS && (defined(__STDC_VERSION__) &&\
                        (__STDC_VERSION__ >= 201112L) &&\
                        !defined(__STDC_NO_ATOMICS__) &&\
                       ATOMIC_INT_LOCK_FREE == 2)
    #undef __pyx_atomic_int_type
    #define __pyx_atomic_int_type atomic_int
    #define __pyx_atomic_ptr_type atomic_uintptr_t
    #define __pyx_nonatomic_ptr_type uintptr_t
    #define __pyx_atomic_incr_relaxed(value) atomic_fetch_add_explicit(value, 1, memory_order_relaxed)
    #define __pyx_atomic_incr_acq_rel(value) atomic_fetch_add_explicit(value, 1, memory_order_acq_rel)
    #define __pyx_atomic_decr_acq_rel(value) atomic_fetch_sub_explicit(value, 1, memory_order_acq_rel)
    #define __pyx_atomic_sub(value, arg) atomic_fetch_sub(value, arg)
    #define __pyx_atomic_int_cmp_exchange(value, expected, desired) atomic_compare_exchange_strong(value, expected, desired)
    #define __pyx_atomic_load(value) atomic_load(value)
    #define __pyx_atomic_store(value, new_value) atomic_store(value, new_value)
    #define __pyx_atomic_pointer_load_relaxed(value) atomic_load_explicit(value, memory_order_relaxed)
    #define __pyx_atomic_pointer_load_acquire(value) atomic_load_explicit(value, memory_order_acquire)
    #define __pyx_atomic_pointer_exchange(value, new_value) atomic_exchange(value, (__pyx_nonatomic_ptr_type)new_value)
    #define __pyx_atomic_pointer_cmp_exchange(value, expected, desired) atomic_compare_exchange_strong(value, expected, desired)
    #if defined(__PYX_DEBUG_ATOMICS) && defined(_MSC_VER)
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\
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        *expected = old;
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/* #### Code section: numeric_typedefs ### */

/* "../../../../../../opt/homebrew/anaconda3/envs/randompack-py/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":744
 * # in Cython to enable them only on the right systems.
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/* "../../../../../../opt/homebrew/anaconda3/envs/randompack-py/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":745
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typedef npy_int16 __pyx_t_5numpy_int16_t;

/* "../../../../../../opt/homebrew/anaconda3/envs/randompack-py/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":746
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 * ctypedef npy_int16      int16_t
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*/
typedef npy_int32 __pyx_t_5numpy_int32_t;

/* "../../../../../../opt/homebrew/anaconda3/envs/randompack-py/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":747
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 * ctypedef npy_int32      int32_t
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*/
typedef npy_int64 __pyx_t_5numpy_int64_t;

/* "../../../../../../opt/homebrew/anaconda3/envs/randompack-py/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":749
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/* "../../../../../../opt/homebrew/anaconda3/envs/randompack-py/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":750
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/* "../../../../../../opt/homebrew/anaconda3/envs/randompack-py/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":751
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/* "../../../../../../opt/homebrew/anaconda3/envs/randompack-py/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":752
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/* "../../../../../../opt/homebrew/anaconda3/envs/randompack-py/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":754
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/* "../../../../../../opt/homebrew/anaconda3/envs/randompack-py/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":755
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/* "../../../../../../opt/homebrew/anaconda3/envs/randompack-py/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":762
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typedef npy_longlong __pyx_t_5numpy_longlong_t;

/* "../../../../../../opt/homebrew/anaconda3/envs/randompack-py/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":763
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/* "../../../../../../opt/homebrew/anaconda3/envs/randompack-py/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":765
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/* "../../../../../../opt/homebrew/anaconda3/envs/randompack-py/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":766
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/* "../../../../../../opt/homebrew/anaconda3/envs/randompack-py/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":768
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/* "../../../../../../opt/homebrew/anaconda3/envs/randompack-py/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":769
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#define __Pyx_PyThreadState_declare  PyThreadState *__pyx_tstate;
#define __Pyx_PyThreadState_assign  __pyx_tstate = __Pyx_PyThreadState_Current;
#if PY_VERSION_HEX >= 0x030C00A6
#define __Pyx_PyErr_Occurred()  (__pyx_tstate->current_exception != NULL)
#define __Pyx_PyErr_CurrentExceptionType()  (__pyx_tstate->current_exception ? (PyObject*) Py_TYPE(__pyx_tstate->current_exception) : (PyObject*) NULL)
#else
#define __Pyx_PyErr_Occurred()  (__pyx_tstate->curexc_type != NULL)
#define __Pyx_PyErr_CurrentExceptionType()  (__pyx_tstate->curexc_type)
#endif
#else
#define __Pyx_PyThreadState_declare
#define __Pyx_PyThreadState_assign
#define __Pyx_PyErr_Occurred()  (PyErr_Occurred() != NULL)
#define __Pyx_PyErr_CurrentExceptionType()  PyErr_Occurred()
#endif

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

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

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

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

/* GetTopmostException.proto (used by SaveResetException) */
#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

/* PyImportError_Check.proto */
#define __Pyx_PyExc_ImportError_Check(obj)  __Pyx_TypeCheck(obj, PyExc_ImportError)

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

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

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

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

/* PyRuntimeError_Check.proto */
#define __Pyx_PyExc_RuntimeError_Check(obj)  __Pyx_TypeCheck(obj, PyExc_RuntimeError)

/* decode_c_string_utf16.proto (used by decode_c_bytes) */
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 (used by decode_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));

/* decode_bytes.proto */
static CYTHON_INLINE PyObject* __Pyx_decode_bytes(
         PyObject* string, 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)) {
    char* as_c_string;
    Py_ssize_t size;
#if CYTHON_ASSUME_SAFE_MACROS && CYTHON_ASSUME_SAFE_SIZE
    as_c_string = PyBytes_AS_STRING(string);
    size = PyBytes_GET_SIZE(string);
#else
    if (PyBytes_AsStringAndSize(string, &as_c_string, &size) < 0) {
        return NULL;
    }
#endif
    return __Pyx_decode_c_bytes(
        as_c_string, size,
        start, stop, encoding, errors, decode_func);
}

/* PyValueError_Check.proto */
#define __Pyx_PyExc_ValueError_Check(obj)  __Pyx_TypeCheck(obj, PyExc_ValueError)

/* PyTypeError_Check.proto */
#define __Pyx_PyExc_TypeError_Check(obj)  __Pyx_TypeCheck(obj, PyExc_TypeError)

/* DictGetItem.proto */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject *__Pyx_PyDict_GetItem(PyObject *d, PyObject* key);
#define __Pyx_PyObject_Dict_GetItem(obj, name)\
    (likely(PyDict_CheckExact(obj)) ?\
     __Pyx_PyDict_GetItem(obj, name) : PyObject_GetItem(obj, name))
#else
#define __Pyx_PyDict_GetItem(d, key) PyObject_GetItem(d, key)
#define __Pyx_PyObject_Dict_GetItem(obj, name)  PyObject_GetItem(obj, name)
#endif

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

/* GetModuleGlobalName.proto */
#if CYTHON_USE_DICT_VERSIONS
#define __Pyx_GetModuleGlobalName(var, name)  do {\
    static PY_UINT64_T __pyx_dict_version = 0;\
    static PyObject *__pyx_dict_cached_value = NULL;\
    (var) = (likely(__pyx_dict_version == __PYX_GET_DICT_VERSION(__pyx_mstate_global->__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

/* PyObjectVectorCallKwBuilder.proto */
CYTHON_UNUSED static int __Pyx_VectorcallBuilder_AddArg_Check(PyObject *key, PyObject *value, PyObject *builder, PyObject **args, int n);
#if CYTHON_VECTORCALL
#if PY_VERSION_HEX >= 0x03090000
#define __Pyx_Object_Vectorcall_CallFromBuilder PyObject_Vectorcall
#else
#define __Pyx_Object_Vectorcall_CallFromBuilder _PyObject_Vectorcall
#endif
#define __Pyx_MakeVectorcallBuilderKwds(n) PyTuple_New(n)
static int __Pyx_VectorcallBuilder_AddArg(PyObject *key, PyObject *value, PyObject *builder, PyObject **args, int n);
static int __Pyx_VectorcallBuilder_AddArgStr(const char *key, PyObject *value, PyObject *builder, PyObject **args, int n);
#else
#define __Pyx_Object_Vectorcall_CallFromBuilder __Pyx_PyObject_FastCallDict
#define __Pyx_MakeVectorcallBuilderKwds(n) __Pyx_PyDict_NewPresized(n)
#define __Pyx_VectorcallBuilder_AddArg(key, value, builder, args, n) PyDict_SetItem(builder, key, value)
#define __Pyx_VectorcallBuilder_AddArgStr(key, value, builder, args, n) PyDict_SetItemString(builder, key, value)
#endif

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

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

/* IncludeStringH.proto (used by BytesEquals) */
#include <string.h>

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

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

/* fastcall.proto */
#if CYTHON_AVOID_BORROWED_REFS
    #define __Pyx_ArgRef_VARARGS(args, i) __Pyx_PySequence_ITEM(args, i)
#elif CYTHON_ASSUME_SAFE_MACROS
    #define __Pyx_ArgRef_VARARGS(args, i) __Pyx_NewRef(__Pyx_PyTuple_GET_ITEM(args, i))
#else
    #define __Pyx_ArgRef_VARARGS(args, i) __Pyx_XNewRef(PyTuple_GetItem(args, i))
#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_ArgRef_FASTCALL(args, i) __Pyx_NewRef(args[i])
    #define __Pyx_NumKwargs_FASTCALL(kwds) __Pyx_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_COMPILING_IN_LIMITED_API
    CYTHON_UNUSED static PyObject *__Pyx_KwargsAsDict_FASTCALL(PyObject *kwnames, PyObject *const *kwvalues);
  #else
    #define __Pyx_KwargsAsDict_FASTCALL(kw, kwvalues) _PyStack_AsDict(kwvalues, kw)
  #endif
#else
    #define __Pyx_ArgRef_FASTCALL __Pyx_ArgRef_VARARGS
    #define __Pyx_NumKwargs_FASTCALL __Pyx_NumKwargs_VARARGS
    #define __Pyx_KwValues_FASTCALL __Pyx_KwValues_VARARGS
    #define __Pyx_GetKwValue_FASTCALL __Pyx_GetKwValue_VARARGS
    #define __Pyx_KwargsAsDict_FASTCALL __Pyx_KwargsAsDict_VARARGS
#endif
#define __Pyx_ArgsSlice_VARARGS(args, start, stop) PyTuple_GetSlice(args, start, stop)
#if CYTHON_METH_FASTCALL || (CYTHON_COMPILING_IN_CPYTHON && CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)
#define __Pyx_ArgsSlice_FASTCALL(args, start, stop) __Pyx_PyTuple_FromArray(args + start, stop - start)
#else
#define __Pyx_ArgsSlice_FASTCALL(args, start, stop) PyTuple_GetSlice(args, start, stop)
#endif

/* py_dict_items.proto (used by OwnedDictNext) */
static CYTHON_INLINE PyObject* __Pyx_PyDict_Items(PyObject* d);

/* CallCFunction.proto (used by CallUnboundCMethod0) */
#define __Pyx_CallCFunction(cfunc, self, args)\
    ((PyCFunction)(void(*)(void))(cfunc)->func)(self, args)
#define __Pyx_CallCFunctionWithKeywords(cfunc, self, args, kwargs)\
    ((PyCFunctionWithKeywords)(void(*)(void))(cfunc)->func)(self, args, kwargs)
#define __Pyx_CallCFunctionFast(cfunc, self, args, nargs)\
    ((__Pyx_PyCFunctionFast)(void(*)(void))(PyCFunction)(cfunc)->func)(self, args, nargs)
#define __Pyx_CallCFunctionFastWithKeywords(cfunc, self, args, nargs, kwnames)\
    ((__Pyx_PyCFunctionFastWithKeywords)(void(*)(void))(PyCFunction)(cfunc)->func)(self, args, nargs, kwnames)

/* PyObjectCallOneArg.proto (used by CallUnboundCMethod0) */
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg);

/* UnpackUnboundCMethod.proto (used by CallUnboundCMethod0) */
typedef struct {
    PyObject *type;
    PyObject **method_name;
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING && CYTHON_ATOMICS
    __pyx_atomic_int_type initialized;
#endif
    PyCFunction func;
    PyObject *method;
    int flag;
} __Pyx_CachedCFunction;
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
static CYTHON_INLINE int __Pyx_CachedCFunction_GetAndSetInitializing(__Pyx_CachedCFunction *cfunc) {
#if !CYTHON_ATOMICS
    return 1;
#else
    __pyx_nonatomic_int_type expected = 0;
    if (__pyx_atomic_int_cmp_exchange(&cfunc->initialized, &expected, 1)) {
        return 0;
    }
    return expected;
#endif
}
static CYTHON_INLINE void __Pyx_CachedCFunction_SetFinishedInitializing(__Pyx_CachedCFunction *cfunc) {
#if CYTHON_ATOMICS
    __pyx_atomic_store(&cfunc->initialized, 2);
#endif
}
#else
#define __Pyx_CachedCFunction_GetAndSetInitializing(cfunc) 2
#define __Pyx_CachedCFunction_SetFinishedInitializing(cfunc)
#endif

/* CallUnboundCMethod0.proto */
CYTHON_UNUSED
static PyObject* __Pyx__CallUnboundCMethod0(__Pyx_CachedCFunction* cfunc, PyObject* self);
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_CallUnboundCMethod0(__Pyx_CachedCFunction* cfunc, PyObject* self);
#else
#define __Pyx_CallUnboundCMethod0(cfunc, self)  __Pyx__CallUnboundCMethod0(cfunc, self)
#endif

/* py_dict_values.proto (used by OwnedDictNext) */
static CYTHON_INLINE PyObject* __Pyx_PyDict_Values(PyObject* d);

/* OwnedDictNext.proto (used by ParseKeywordsImpl) */
#if CYTHON_AVOID_BORROWED_REFS
static int __Pyx_PyDict_NextRef(PyObject *p, PyObject **ppos, PyObject **pkey, PyObject **pvalue);
#else
CYTHON_INLINE
static int __Pyx_PyDict_NextRef(PyObject *p, Py_ssize_t *ppos, PyObject **pkey, PyObject **pvalue);
#endif

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

/* ParseKeywordsImpl.export */
static int __Pyx_ParseKeywordsTuple(
    PyObject *kwds,
    PyObject * const *kwvalues,
    PyObject ** const argnames[],
    PyObject *kwds2,
    PyObject *values[],
    Py_ssize_t num_pos_args,
    Py_ssize_t num_kwargs,
    const char* function_name,
    int ignore_unknown_kwargs
);
static int __Pyx_ParseKeywordDictToDict(
    PyObject *kwds,
    PyObject ** const argnames[],
    PyObject *kwds2,
    PyObject *values[],
    Py_ssize_t num_pos_args,
    const char* function_name
);
static int __Pyx_ParseKeywordDict(
    PyObject *kwds,
    PyObject ** const argnames[],
    PyObject *values[],
    Py_ssize_t num_pos_args,
    Py_ssize_t num_kwargs,
    const char* function_name,
    int ignore_unknown_kwargs
);

/* CallUnboundCMethod2.proto */
CYTHON_UNUSED
static PyObject* __Pyx__CallUnboundCMethod2(__Pyx_CachedCFunction* cfunc, PyObject* self, PyObject* arg1, PyObject* arg2);
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject *__Pyx_CallUnboundCMethod2(__Pyx_CachedCFunction *cfunc, PyObject *self, PyObject *arg1, PyObject *arg2);
#else
#define __Pyx_CallUnboundCMethod2(cfunc, self, arg1, arg2)  __Pyx__CallUnboundCMethod2(cfunc, self, arg1, arg2)
#endif

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

/* 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);

/* PyObjectFastCallMethod.proto */
#if CYTHON_VECTORCALL && PY_VERSION_HEX >= 0x03090000
#define __Pyx_PyObject_FastCallMethod(name, args, nargsf) PyObject_VectorcallMethod(name, args, nargsf, NULL)
#else
static PyObject *__Pyx_PyObject_FastCallMethod(PyObject *name, PyObject *const *args, size_t nargsf);
#endif

/* PyMemoryError_Check.proto */
#define __Pyx_PyExc_MemoryError_Check(obj)  __Pyx_TypeCheck(obj, PyExc_MemoryError)

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

/* IsLittleEndian.proto (used by BufferFormatCheck) */
static CYTHON_INLINE int __Pyx_Is_Little_Endian(void);

/* BufferFormatCheck.proto (used by BufferGetAndValidate) */
static const char* __Pyx_BufFmt_CheckString(__Pyx_BufFmt_Context* ctx, const char* ts);
static void __Pyx_BufFmt_Init(__Pyx_BufFmt_Context* ctx,
                              __Pyx_BufFmt_StackElem* stack,
                              const __Pyx_TypeInfo* type);

/* BufferGetAndValidate.proto */
#define __Pyx_GetBufferAndValidate(buf, obj, dtype, flags, nd, cast, stack)\
    ((obj == Py_None || obj == NULL) ?\
    (__Pyx_ZeroBuffer(buf), 0) :\
    __Pyx__GetBufferAndValidate(buf, obj, dtype, flags, nd, cast, stack))
static int  __Pyx__GetBufferAndValidate(Py_buffer* buf, PyObject* obj,
  const __Pyx_TypeInfo* dtype, int flags, int nd, int cast, __Pyx_BufFmt_StackElem* stack);
static void __Pyx_ZeroBuffer(Py_buffer* buf);
static CYTHON_INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info);
static Py_ssize_t __Pyx_minusones[] = { -1, -1, -1, -1, -1, -1, -1, -1 };
static Py_ssize_t __Pyx_zeros[] = { 0, 0, 0, 0, 0, 0, 0, 0 };

/* BufferFallbackError.proto */
static void __Pyx_RaiseBufferFallbackError(void);

/* RejectKeywords.export */
static void __Pyx_RejectKeywords(const char* function_name, PyObject *kwds);

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

/* RaiseKeywordRequired.proto */
static void __Pyx_RaiseKeywordRequired(const char* func_name, PyObject* kw_name);

/* SetStringIndexingError.proto (used by GetItemIntBytes) */
static void __Pyx_SetStringIndexingError(const char* message, int has_gil);

/* GetItemIntBytes.proto */
#define __Pyx_GetItemInt_Bytes(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck, has_gil, unsafe_shared)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_GetItemInt_Bytes_Fast(o, (Py_ssize_t)i, wraparound, boundscheck, has_gil) :\
    (__Pyx_SetStringIndexingError("string index out of range", has_gil), -1))
static CYTHON_INLINE int __Pyx_GetItemInt_Bytes_Fast(PyObject* bytes, Py_ssize_t index,
                                                     int wraparound, int boundscheck, int has_gil);

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

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

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

/* PyObjectCallNoArg.proto (used by PyObjectCallMethod0) */
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func);

/* PyObjectGetMethod.proto (used by PyObjectCallMethod0) */
#if !(CYTHON_VECTORCALL && (__PYX_LIMITED_VERSION_HEX >= 0x030C0000 || (!CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x03090000)))
static int __Pyx_PyObject_GetMethod(PyObject *obj, PyObject *name, PyObject **method);
#endif

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

/* RaiseNeedMoreValuesToUnpack.proto (used by UnpackTuple2) */
static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index);

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

/* UnpackItemEndCheck.proto (used by UnpackTuple2) */
static int __Pyx_IternextUnpackEndCheck(PyObject *retval, Py_ssize_t expected);

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

/* UnpackTupleError.proto (used by UnpackTuple2) */
static void __Pyx_UnpackTupleError(PyObject *, Py_ssize_t index);

/* UnpackTuple2.proto (used by dict_iter) */
static CYTHON_INLINE int __Pyx_unpack_tuple2(
    PyObject* tuple, PyObject** value1, PyObject** value2, int is_tuple, int has_known_size, int decref_tuple);
static CYTHON_INLINE int __Pyx_unpack_tuple2_exact(
    PyObject* tuple, PyObject** value1, PyObject** value2, int decref_tuple);
static int __Pyx_unpack_tuple2_generic(
    PyObject* tuple, PyObject** value1, PyObject** value2, int has_known_size, int decref_tuple);

/* dict_iter.proto */
static CYTHON_INLINE PyObject* __Pyx_dict_iterator(PyObject* dict, int is_dict, PyObject* method_name,
                                                   Py_ssize_t* p_orig_length, int* p_is_dict);
static CYTHON_INLINE int __Pyx_dict_iter_next(PyObject* dict_or_iter, Py_ssize_t orig_length, Py_ssize_t* ppos,
                                              PyObject** pkey, PyObject** pvalue, PyObject** pitem, int is_dict);

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

/* PyObjectFormatSimple.proto */
#if CYTHON_COMPILING_IN_PYPY
    #define __Pyx_PyObject_FormatSimple(s, f) (\
        likely(PyUnicode_CheckExact(s)) ? (Py_INCREF(s), s) :\
        PyObject_Format(s, f))
#elif CYTHON_USE_TYPE_SLOTS
    #define __Pyx_PyObject_FormatSimple(s, f) (\
        likely(PyUnicode_CheckExact(s)) ? (Py_INCREF(s), s) :\
        likely(PyLong_CheckExact(s)) ? PyLong_Type.tp_repr(s) :\
        likely(PyFloat_CheckExact(s)) ? PyFloat_Type.tp_repr(s) :\
        PyObject_Format(s, f))
#else
    #define __Pyx_PyObject_FormatSimple(s, f) (\
        likely(PyUnicode_CheckExact(s)) ? (Py_INCREF(s), s) :\
        PyObject_Format(s, f))
#endif

/* PyObjectFormat.proto */
#if CYTHON_USE_UNICODE_WRITER
static PyObject* __Pyx_PyObject_Format(PyObject* s, PyObject* f);
#else
#define __Pyx_PyObject_Format(s, f) PyObject_Format(s, f)
#endif

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

/* AllocateExtensionType.proto */
static PyObject *__Pyx_AllocateExtensionType(PyTypeObject *t, int is_final);

/* CheckTypeForFreelists.proto */
#if CYTHON_USE_FREELISTS
#if CYTHON_USE_TYPE_SPECS
#define __PYX_CHECK_FINAL_TYPE_FOR_FREELISTS(t, expected_tp, expected_size) ((int) ((t) == (expected_tp)))
#define __PYX_CHECK_TYPE_FOR_FREELIST_FLAGS  Py_TPFLAGS_IS_ABSTRACT
#else
#define __PYX_CHECK_FINAL_TYPE_FOR_FREELISTS(t, expected_tp, expected_size) ((int) ((t)->tp_basicsize == (expected_size)))
#define __PYX_CHECK_TYPE_FOR_FREELIST_FLAGS  (Py_TPFLAGS_IS_ABSTRACT | Py_TPFLAGS_HEAPTYPE)
#endif
#define __PYX_CHECK_TYPE_FOR_FREELISTS(t, expected_tp, expected_size)\
    (__PYX_CHECK_FINAL_TYPE_FOR_FREELISTS((t), (expected_tp), (expected_size)) &\
     (int) (!__Pyx_PyType_HasFeature((t), __PYX_CHECK_TYPE_FOR_FREELIST_FLAGS)))
#endif

/* CallTypeTraverse.proto */
#if !CYTHON_USE_TYPE_SPECS || (!CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x03090000)
#define __Pyx_call_type_traverse(o, always_call, visit, arg) 0
#else
static int __Pyx_call_type_traverse(PyObject *o, int always_call, visitproc visit, void *arg);
#endif

/* LimitedApiGetTypeDict.proto (used by SetItemOnTypeDict) */
#if CYTHON_COMPILING_IN_LIMITED_API
static PyObject *__Pyx_GetTypeDict(PyTypeObject *tp);
#endif

/* SetItemOnTypeDict.proto (used by FixUpExtensionType) */
static int __Pyx__SetItemOnTypeDict(PyTypeObject *tp, PyObject *k, PyObject *v);
#define __Pyx_SetItemOnTypeDict(tp, k, v) __Pyx__SetItemOnTypeDict((PyTypeObject*)tp, k, v)

/* FixUpExtensionType.proto */
static CYTHON_INLINE int __Pyx_fix_up_extension_type_from_spec(PyType_Spec *spec, PyTypeObject *type);

/* ValidateBasesTuple.proto (used by PyType_Ready) */
#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);

/* DelItemOnTypeDict.proto (used by SetupReduce) */
static int __Pyx__DelItemOnTypeDict(PyTypeObject *tp, PyObject *k);
#define __Pyx_DelItemOnTypeDict(tp, k) __Pyx__DelItemOnTypeDict((PyTypeObject*)tp, k)

/* SetupReduce.proto */
static int __Pyx_setup_reduce(PyObject* type_obj);

/* TypeImport.proto */
#ifndef __PYX_HAVE_RT_ImportType_proto_3_2_4
#define __PYX_HAVE_RT_ImportType_proto_3_2_4
#if defined (__STDC_VERSION__) && __STDC_VERSION__ >= 201112L
#include <stdalign.h>
#endif
#if (defined (__STDC_VERSION__) && __STDC_VERSION__ >= 201112L) || __cplusplus >= 201103L
#define __PYX_GET_STRUCT_ALIGNMENT_3_2_4(s) alignof(s)
#else
#define __PYX_GET_STRUCT_ALIGNMENT_3_2_4(s) sizeof(void*)
#endif
enum __Pyx_ImportType_CheckSize_3_2_4 {
   __Pyx_ImportType_CheckSize_Error_3_2_4 = 0,
   __Pyx_ImportType_CheckSize_Warn_3_2_4 = 1,
   __Pyx_ImportType_CheckSize_Ignore_3_2_4 = 2
};
static PyTypeObject *__Pyx_ImportType_3_2_4(PyObject* module, const char *module_name, const char *class_name, size_t size, size_t alignment, enum __Pyx_ImportType_CheckSize_3_2_4 check_size);
#endif

/* HasAttr.proto (used by ImportImpl) */
#if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
#define __Pyx_HasAttr(o, n)  PyObject_HasAttrWithError(o, n)
#else
static CYTHON_INLINE int __Pyx_HasAttr(PyObject *, PyObject *);
#endif

/* ImportImpl.export */
static PyObject *__Pyx__Import(PyObject *name, PyObject *const *imported_names, Py_ssize_t len_imported_names, PyObject *qualname, PyObject *moddict, int level);

/* Import.proto */
static CYTHON_INLINE PyObject *__Pyx_Import(PyObject *name, PyObject *const *imported_names, Py_ssize_t len_imported_names, PyObject *qualname, int level);

/* dict_setdefault.proto (used by FetchCommonType) */
static CYTHON_INLINE PyObject *__Pyx_PyDict_SetDefault(PyObject *d, PyObject *key, PyObject *default_value);

/* AddModuleRef.proto (used by FetchSharedCythonModule) */
#if ((CYTHON_COMPILING_IN_CPYTHON_FREETHREADING ) ||\
     __PYX_LIMITED_VERSION_HEX < 0x030d0000)
  static PyObject *__Pyx_PyImport_AddModuleRef(const char *name);
#else
  #define __Pyx_PyImport_AddModuleRef(name) PyImport_AddModuleRef(name)
#endif

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

/* FetchCommonType.proto (used by CommonTypesMetaclass) */
static PyTypeObject* __Pyx_FetchCommonTypeFromSpec(PyTypeObject *metaclass, PyObject *module, PyType_Spec *spec, PyObject *bases);

/* CommonTypesMetaclass.proto (used by CythonFunctionShared) */
static int __pyx_CommonTypesMetaclass_init(PyObject *module);
#define __Pyx_CommonTypesMetaclass_USED

/* PyMethodNew.proto (used by CythonFunctionShared) */
static PyObject *__Pyx_PyMethod_New(PyObject *func, PyObject *self, PyObject *typ);

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

/* CythonFunctionShared.proto (used by CythonFunction) */
#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_COMPILING_IN_LIMITED_API && CYTHON_METH_FASTCALL
    __pyx_vectorcallfunc func_vectorcall;
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
    PyObject *func_weakreflist;
#endif
#if PY_VERSION_HEX < 0x030C0000 || CYTHON_COMPILING_IN_LIMITED_API
    PyObject *func_dict;
#endif
    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
    PyObject *defaults;
    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_mstate_global->__pyx_CyFunctionType)
#define __Pyx_CyOrPyCFunction_Check(obj)  __Pyx_TypeCheck2(obj, __pyx_mstate_global->__pyx_CyFunctionType, &PyCFunction_Type)
#define __Pyx_CyFunction_CheckExact(obj)  __Pyx_IS_TYPE(obj, __pyx_mstate_global->__pyx_CyFunctionType)
static CYTHON_INLINE int __Pyx__IsSameCyOrCFunction(PyObject *func, void (*cfunc)(void));
#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 PyObject *__Pyx_CyFunction_InitDefaults(PyObject *func,
                                                         PyTypeObject *defaults_type);
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_COMPILING_IN_LIMITED_API
#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);

/* Py3UpdateBases.proto */
static PyObject* __Pyx_PEP560_update_bases(PyObject *bases);

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

/* SetNameInClass.proto */
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030d0000
#define __Pyx_SetNameInClass(ns, name, value)\
    (likely(PyDict_CheckExact(ns)) ? _PyDict_SetItem_KnownHash(ns, name, value, ((PyASCIIObject *) name)->hash) : PyObject_SetItem(ns, name, value))
#elif CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_SetNameInClass(ns, name, value)\
    (likely(PyDict_CheckExact(ns)) ? PyDict_SetItem(ns, name, value) : PyObject_SetItem(ns, name, value))
#else
#define __Pyx_SetNameInClass(ns, name, value)  PyObject_SetItem(ns, name, value)
#endif

/* PyObjectCall2Args.proto (used by Py3ClassCreate) */
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call2Args(PyObject* function, PyObject* arg1, PyObject* arg2);

/* PyObjectLookupSpecial.proto (used by Py3ClassCreate) */
#if CYTHON_USE_PYTYPE_LOOKUP && CYTHON_USE_TYPE_SLOTS
#define __Pyx_PyObject_LookupSpecialNoError(obj, attr_name)  __Pyx__PyObject_LookupSpecial(obj, attr_name, 0)
#define __Pyx_PyObject_LookupSpecial(obj, attr_name)  __Pyx__PyObject_LookupSpecial(obj, attr_name, 1)
static CYTHON_INLINE PyObject* __Pyx__PyObject_LookupSpecial(PyObject* obj, PyObject* attr_name, int with_error);
#else
#define __Pyx_PyObject_LookupSpecialNoError(o,n) __Pyx_PyObject_GetAttrStrNoError(o,n)
#define __Pyx_PyObject_LookupSpecial(o,n) __Pyx_PyObject_GetAttrStr(o,n)
#endif

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

/* CLineInTraceback.proto (used by AddTraceback) */
#if CYTHON_CLINE_IN_TRACEBACK && CYTHON_CLINE_IN_TRACEBACK_RUNTIME
static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line);
#else
#define __Pyx_CLineForTraceback(tstate, c_line)  (((CYTHON_CLINE_IN_TRACEBACK)) ? c_line : 0)
#endif

/* CodeObjectCache.proto (used by AddTraceback) */
#if CYTHON_COMPILING_IN_LIMITED_API
typedef PyObject __Pyx_CachedCodeObjectType;
#else
typedef PyCodeObject __Pyx_CachedCodeObjectType;
#endif
typedef struct {
    __Pyx_CachedCodeObjectType* code_object;
    int code_line;
} __Pyx_CodeObjectCacheEntry;
struct __Pyx_CodeObjectCache {
    int count;
    int max_count;
    __Pyx_CodeObjectCacheEntry* entries;
  #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    __pyx_atomic_int_type accessor_count;
  #endif
};
static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line);
static __Pyx_CachedCodeObjectType *__pyx_find_code_object(int code_line);
static void __pyx_insert_code_object(int code_line, __Pyx_CachedCodeObjectType* code_object);

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

/* BufferStructDeclare.proto */
typedef struct {
  Py_ssize_t shape, strides, suboffsets;
} __Pyx_Buf_DimInfo;
typedef struct {
  size_t refcount;
  Py_buffer pybuffer;
} __Pyx_Buffer;
typedef struct {
  __Pyx_Buffer *rcbuffer;
  char *data;
  __Pyx_Buf_DimInfo diminfo[8];
} __Pyx_LocalBuf_ND;

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

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

/* Arithmetic.proto */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
    #define __Pyx_c_eq_float(a, b)   ((a)==(b))
    #define __Pyx_c_sum_float(a, b)  ((a)+(b))
    #define __Pyx_c_diff_float(a, b) ((a)-(b))
    #define __Pyx_c_prod_float(a, b) ((a)*(b))
    #define __Pyx_c_quot_float(a, b) ((a)/(b))
    #define __Pyx_c_neg_float(a)     (-(a))
  #ifdef __cplusplus
    #define __Pyx_c_is_zero_float(z) ((z)==(float)0)
    #define __Pyx_c_conj_float(z)    (::std::conj(z))
    #if 1
        #define __Pyx_c_abs_float(z)     (::std::abs(z))
        #define __Pyx_c_pow_float(a, b)  (::std::pow(a, b))
    #endif
  #else
    #define __Pyx_c_is_zero_float(z) ((z)==0)
    #define __Pyx_c_conj_float(z)    (conjf(z))
    #if 1
        #define __Pyx_c_abs_float(z)     (cabsf(z))
        #define __Pyx_c_pow_float(a, b)  (cpowf(a, b))
    #endif
 #endif
#else
    static CYTHON_INLINE int __Pyx_c_eq_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sum_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_diff_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prod_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_neg_float(__pyx_t_float_complex);
    static CYTHON_INLINE int __Pyx_c_is_zero_float(__pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conj_float(__pyx_t_float_complex);
    #if 1
        static CYTHON_INLINE float __Pyx_c_abs_float(__pyx_t_float_complex);
        static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_pow_float(__pyx_t_float_complex, __pyx_t_float_complex);
    #endif
#endif

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

/* Arithmetic.proto */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
    #define __Pyx_c_eq_long__double(a, b)   ((a)==(b))
    #define __Pyx_c_sum_long__double(a, b)  ((a)+(b))
    #define __Pyx_c_diff_long__double(a, b) ((a)-(b))
    #define __Pyx_c_prod_long__double(a, b) ((a)*(b))
    #define __Pyx_c_quot_long__double(a, b) ((a)/(b))
    #define __Pyx_c_neg_long__double(a)     (-(a))
  #ifdef __cplusplus
    #define __Pyx_c_is_zero_long__double(z) ((z)==(long double)0)
    #define __Pyx_c_conj_long__double(z)    (::std::conj(z))
    #if 1
        #define __Pyx_c_abs_long__double(z)     (::std::abs(z))
        #define __Pyx_c_pow_long__double(a, b)  (::std::pow(a, b))
    #endif
  #else
    #define __Pyx_c_is_zero_long__double(z) ((z)==0)
    #define __Pyx_c_conj_long__double(z)    (conjl(z))
    #if 1
        #define __Pyx_c_abs_long__double(z)     (cabsl(z))
        #define __Pyx_c_pow_long__double(a, b)  (cpowl(a, b))
    #endif
 #endif
#else
    static CYTHON_INLINE int __Pyx_c_eq_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex);
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_sum_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex);
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_diff_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex);
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_prod_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex);
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_quot_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex);
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_neg_long__double(__pyx_t_long_double_complex);
    static CYTHON_INLINE int __Pyx_c_is_zero_long__double(__pyx_t_long_double_complex);
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_conj_long__double(__pyx_t_long_double_complex);
    #if 1
        static CYTHON_INLINE long double __Pyx_c_abs_long__double(__pyx_t_long_double_complex);
        static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_pow_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex);
    #endif
#endif

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

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

/* CIntFromPy.proto */
static CYTHON_INLINE uint64_t __Pyx_PyLong_As_uint64_t(PyObject *);

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

/* CIntFromPy.proto */
static CYTHON_INLINE size_t __Pyx_PyLong_As_size_t(PyObject *);

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyLong_From_PY_LONG_LONG(PY_LONG_LONG value);

/* CIntFromPy.proto */
static CYTHON_INLINE PY_LONG_LONG __Pyx_PyLong_As_PY_LONG_LONG(PyObject *);

/* FormatTypeName.proto */
#if CYTHON_COMPILING_IN_LIMITED_API
typedef PyObject *__Pyx_TypeName;
#define __Pyx_FMT_TYPENAME "%U"
#define __Pyx_DECREF_TypeName(obj) Py_XDECREF(obj)
#if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
#define __Pyx_PyType_GetFullyQualifiedName PyType_GetFullyQualifiedName
#else
static __Pyx_TypeName __Pyx_PyType_GetFullyQualifiedName(PyTypeObject* tp);
#endif
#else  // !LIMITED_API
typedef const char *__Pyx_TypeName;
#define __Pyx_FMT_TYPENAME "%.200s"
#define __Pyx_PyType_GetFullyQualifiedName(tp) ((tp)->tp_name)
#define __Pyx_DECREF_TypeName(obj)
#endif

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

/* 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)
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *type1, PyObject *type2) {
    return 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)
#ifdef PyExceptionInstance_Check
  #define __Pyx_PyBaseException_Check(obj) PyExceptionInstance_Check(obj)
#else
  #define __Pyx_PyBaseException_Check(obj) __Pyx_TypeCheck(obj, PyExc_BaseException)
#endif

/* GetRuntimeVersion.proto */
#if __PYX_LIMITED_VERSION_HEX < 0x030b0000
static unsigned long __Pyx_cached_runtime_version = 0;
static void __Pyx_init_runtime_version(void);
#else
#define __Pyx_init_runtime_version()
#endif
static unsigned long __Pyx_get_runtime_version(void);

/* SwapException.proto (used by CoroutineBase) */
#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

/* IterNextPlain.proto (used by CoroutineBase) */
static CYTHON_INLINE PyObject *__Pyx_PyIter_Next_Plain(PyObject *iterator);
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
static PyObject *__Pyx_GetBuiltinNext_LimitedAPI(void);
#endif

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

/* ReturnWithStopIteration.proto (used by CoroutineBase) */
static CYTHON_INLINE void __Pyx_ReturnWithStopIteration(PyObject* value, int async, int iternext);

/* CoroutineBase.proto (used by Generator) */
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;
#if PY_VERSION_HEX < 0x030C0000 || CYTHON_COMPILING_IN_LIMITED_API
    PyObject *gi_weakreflist;
#endif
    PyObject *classobj;
    PyObject *yieldfrom;
    __Pyx_pyiter_sendfunc yieldfrom_am_send;
    PyObject *gi_name;
    PyObject *gi_qualname;
    PyObject *gi_modulename;
    PyObject *gi_code;
    PyObject *gi_frame;
#if CYTHON_USE_SYS_MONITORING && (CYTHON_PROFILE || CYTHON_TRACE)
    PyMonitoringState __pyx_pymonitoring_state[__Pyx_MonitoringEventTypes_CyGen_count];
    uint64_t __pyx_pymonitoring_version;
#endif
    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 __Pyx_PySendResult __Pyx_Coroutine_AmSend(PyObject *self, PyObject *value, PyObject **retval);
static PyObject *__Pyx_Coroutine_Send(PyObject *self, PyObject *value);
static __Pyx_PySendResult __Pyx_Coroutine_Close(PyObject *self, PyObject **retval);
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);
static char __Pyx_Coroutine_test_and_set_is_running(__pyx_CoroutineObject *gen);
static void __Pyx_Coroutine_unset_is_running(__pyx_CoroutineObject *gen);
static char __Pyx_Coroutine_get_is_running(__pyx_CoroutineObject *gen);
static PyObject *__Pyx_Coroutine_get_is_running_getter(PyObject *gen, void *closure);
#if __PYX_HAS_PY_AM_SEND == 2
static void __Pyx_SetBackportTypeAmSend(PyTypeObject *type, __Pyx_PyAsyncMethodsStruct *static_amsend_methods, __Pyx_pyiter_sendfunc am_send);
#endif
static PyObject *__Pyx_Coroutine_fail_reduce_ex(PyObject *self, PyObject *arg);

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

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

/* DecompressString.proto */
static PyObject *__Pyx_DecompressString(const char *s, Py_ssize_t length, int algo);

/* MultiPhaseInitModuleState.proto */
#if CYTHON_PEP489_MULTI_PHASE_INIT && CYTHON_USE_MODULE_STATE
static PyObject *__Pyx_State_FindModule(void*);
static int __Pyx_State_AddModule(PyObject* module, void*);
static int __Pyx_State_RemoveModule(void*);
#elif CYTHON_USE_MODULE_STATE
#define __Pyx_State_FindModule PyState_FindModule
#define __Pyx_State_AddModule PyState_AddModule
#define __Pyx_State_RemoveModule PyState_RemoveModule
#endif

/* #### Code section: module_declarations ### */
/* CythonABIVersion.proto */
#if CYTHON_COMPILING_IN_LIMITED_API
    #if CYTHON_METH_FASTCALL
        #define __PYX_FASTCALL_ABI_SUFFIX  "_fastcall"
    #else
        #define __PYX_FASTCALL_ABI_SUFFIX
    #endif
    #define __PYX_LIMITED_ABI_SUFFIX "limited" __PYX_FASTCALL_ABI_SUFFIX __PYX_AM_SEND_ABI_SUFFIX
#else
    #define __PYX_LIMITED_ABI_SUFFIX
#endif
#if __PYX_HAS_PY_AM_SEND == 1
    #define __PYX_AM_SEND_ABI_SUFFIX
#elif __PYX_HAS_PY_AM_SEND == 2
    #define __PYX_AM_SEND_ABI_SUFFIX "amsendbackport"
#else
    #define __PYX_AM_SEND_ABI_SUFFIX "noamsend"
#endif
#ifndef __PYX_MONITORING_ABI_SUFFIX
    #define __PYX_MONITORING_ABI_SUFFIX
#endif
#if CYTHON_USE_TP_FINALIZE
    #define __PYX_TP_FINALIZE_ABI_SUFFIX
#else
    #define __PYX_TP_FINALIZE_ABI_SUFFIX "nofinalize"
#endif
#if CYTHON_USE_FREELISTS || !defined(__Pyx_AsyncGen_USED)
    #define __PYX_FREELISTS_ABI_SUFFIX
#else
    #define __PYX_FREELISTS_ABI_SUFFIX "nofreelists"
#endif
#define CYTHON_ABI  __PYX_ABI_VERSION __PYX_LIMITED_ABI_SUFFIX __PYX_MONITORING_ABI_SUFFIX __PYX_TP_FINALIZE_ABI_SUFFIX __PYX_FREELISTS_ABI_SUFFIX __PYX_AM_SEND_ABI_SUFFIX
#define __PYX_ABI_MODULE_NAME "_cython_" CYTHON_ABI
#define __PYX_TYPE_MODULE_PREFIX __PYX_ABI_MODULE_NAME "."

static CYTHON_INLINE npy_intp __pyx_f_5numpy_5dtype_8itemsize_itemsize(PyArray_Descr *__pyx_v_self); /* proto*/
static CYTHON_INLINE npy_intp __pyx_f_5numpy_5dtype_9alignment_alignment(PyArray_Descr *__pyx_v_self); /* proto*/
static CYTHON_INLINE PyObject *__pyx_f_5numpy_5dtype_6fields_fields(PyArray_Descr *__pyx_v_self); /* proto*/
static CYTHON_INLINE PyObject *__pyx_f_5numpy_5dtype_5names_names(PyArray_Descr *__pyx_v_self); /* proto*/
static CYTHON_INLINE PyArray_ArrayDescr *__pyx_f_5numpy_5dtype_8subarray_subarray(PyArray_Descr *__pyx_v_self); /* proto*/
static CYTHON_INLINE npy_uint64 __pyx_f_5numpy_5dtype_5flags_flags(PyArray_Descr *__pyx_v_self); /* proto*/
static CYTHON_INLINE int __pyx_f_5numpy_9broadcast_7numiter_numiter(PyArrayMultiIterObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE npy_intp __pyx_f_5numpy_9broadcast_4size_size(PyArrayMultiIterObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE npy_intp __pyx_f_5numpy_9broadcast_5index_index(PyArrayMultiIterObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE int __pyx_f_5numpy_9broadcast_2nd_nd(PyArrayMultiIterObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE npy_intp *__pyx_f_5numpy_9broadcast_10dimensions_dimensions(PyArrayMultiIterObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE void **__pyx_f_5numpy_9broadcast_5iters_iters(PyArrayMultiIterObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE PyObject *__pyx_f_5numpy_7ndarray_4base_base(PyArrayObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE PyArray_Descr *__pyx_f_5numpy_7ndarray_5descr_descr(PyArrayObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE int __pyx_f_5numpy_7ndarray_4ndim_ndim(PyArrayObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE npy_intp *__pyx_f_5numpy_7ndarray_5shape_shape(PyArrayObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE npy_intp *__pyx_f_5numpy_7ndarray_7strides_strides(PyArrayObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE npy_intp __pyx_f_5numpy_7ndarray_4size_size(PyArrayObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE char *__pyx_f_5numpy_7ndarray_4data_data(PyArrayObject *__pyx_v_self); /* proto*/

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

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

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

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

/* Module declarations from "__builtin__" */

/* Module declarations from "cpython.type" */

/* Module declarations from "cpython" */

/* Module declarations from "cpython.object" */

/* Module declarations from "cpython.ref" */

/* Module declarations from "numpy" */

/* Module declarations from "numpy" */
static CYTHON_INLINE int __pyx_f_5numpy_import_array(void); /*proto*/

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

/* Module declarations from "cpython.bytearray" */

/* Module declarations from "cpython.bytes" */

/* Module declarations from "randompack._core" */
static CYTHON_INLINE void __pyx_f_10randompack_5_core__raise_last_error(randompack_rng *); /*proto*/
static CYTHON_INLINE void __pyx_f_10randompack_5_core__out_check(randompack_rng *, PyObject *, PyObject *, PyObject *); /*proto*/
static CYTHON_INLINE PyArrayObject *__pyx_f_10randompack_5_core__prep_out_float(randompack_rng *, PyObject *, PyObject *, PyObject *, void **, size_t *, int *); /*proto*/
static CYTHON_INLINE PyArrayObject *__pyx_f_10randompack_5_core__prep_out_int(randompack_rng *, PyObject *, PyObject *, PyObject *, void **, size_t *, int *); /*proto*/
/* #### Code section: typeinfo ### */
static const __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_5numpy_uint32_t = { "uint32_t", NULL, sizeof(__pyx_t_5numpy_uint32_t), { 0 }, 0, __PYX_IS_UNSIGNED(__pyx_t_5numpy_uint32_t) ? 'U' : 'I', __PYX_IS_UNSIGNED(__pyx_t_5numpy_uint32_t), 0 };
/* #### Code section: before_global_var ### */
#define __Pyx_MODULE_NAME "randompack._core"
extern int __pyx_module_is_main_randompack___core;
int __pyx_module_is_main_randompack___core = 0;

/* Implementation of "randompack._core" */
/* #### Code section: global_var ### */
static PyObject *__pyx_builtin_max;
/* #### Code section: string_decls ### */
static const char __pyx_k_replace[] = "replace";
/* #### Code section: decls ### */
static int __pyx_pf_10randompack_5_core_3Rng___cinit__(struct __pyx_obj_10randompack_5_core_Rng *__pyx_v_self, PyObject *__pyx_v_engine); /* proto */
static void __pyx_pf_10randompack_5_core_3Rng_2__dealloc__(struct __pyx_obj_10randompack_5_core_Rng *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_10randompack_5_core_3Rng_4seed(struct __pyx_obj_10randompack_5_core_Rng *__pyx_v_self, PyObject *__pyx_v_seed, PyObject *__pyx_v_spawn_key); /* proto */
static PyObject *__pyx_pf_10randompack_5_core_3Rng_6randomize(struct __pyx_obj_10randompack_5_core_Rng *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_10randompack_5_core_3Rng_8full_mantissa(struct __pyx_obj_10randompack_5_core_Rng *__pyx_v_self, PyObject *__pyx_v_enable); /* proto */
static PyObject *__pyx_pf_10randompack_5_core_3Rng_10vector_logexp(struct __pyx_obj_10randompack_5_core_Rng *__pyx_v_self, PyObject *__pyx_v_enable); /* proto */
static PyObject *__pyx_pf_10randompack_5_core_3Rng_12duplicate(struct __pyx_obj_10randompack_5_core_Rng *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_10randompack_5_core_3Rng_14serialize(struct __pyx_obj_10randompack_5_core_Rng *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_10randompack_5_core_3Rng_16deserialize(struct __pyx_obj_10randompack_5_core_Rng *__pyx_v_self, PyObject *__pyx_v_state); /* proto */
static PyObject *__pyx_pf_10randompack_5_core_3Rng_18squares_set_state(struct __pyx_obj_10randompack_5_core_Rng *__pyx_v_self, PyObject *__pyx_v_ctr, PyObject *__pyx_v_key); /* proto */
static PyObject *__pyx_pf_10randompack_5_core_3Rng_20philox_set_state(struct __pyx_obj_10randompack_5_core_Rng *__pyx_v_self, PyObject *__pyx_v_ctr, PyObject *__pyx_v_key); /* proto */
static PyObject *__pyx_pf_10randompack_5_core_3Rng_22pcg64_set_state(struct __pyx_obj_10randompack_5_core_Rng *__pyx_v_self, PyObject *__pyx_v_state, PyObject *__pyx_v_inc); /* proto */
static PyObject *__pyx_pf_10randompack_5_core_3Rng_24set_state(struct __pyx_obj_10randompack_5_core_Rng *__pyx_v_self, PyObject *__pyx_v_state); /* proto */
static PyObject *__pyx_pf_10randompack_5_core_3Rng_26unif(struct __pyx_obj_10randompack_5_core_Rng *__pyx_v_self, PyObject *__pyx_v_size, PyObject *__pyx_v_a, PyObject *__pyx_v_b, PyObject *__pyx_v_out, PyObject *__pyx_v_dtype); /* proto */
static PyObject *__pyx_pf_10randompack_5_core_3Rng_28normal(struct __pyx_obj_10randompack_5_core_Rng *__pyx_v_self, PyObject *__pyx_v_size, PyObject *__pyx_v_mu, PyObject *__pyx_v_sigma, PyObject *__pyx_v_out, PyObject *__pyx_v_dtype); /* proto */
static PyObject *__pyx_pf_10randompack_5_core_3Rng_30exp(struct __pyx_obj_10randompack_5_core_Rng *__pyx_v_self, PyObject *__pyx_v_size, PyObject *__pyx_v_scale, PyObject *__pyx_v_out, PyObject *__pyx_v_dtype); /* proto */
static PyObject *__pyx_pf_10randompack_5_core_3Rng_32lognormal(struct __pyx_obj_10randompack_5_core_Rng *__pyx_v_self, PyObject *__pyx_v_size, PyObject *__pyx_v_mu, PyObject *__pyx_v_sigma, PyObject *__pyx_v_out, PyObject *__pyx_v_dtype); /* proto */
static PyObject *__pyx_pf_10randompack_5_core_3Rng_34gamma(struct __pyx_obj_10randompack_5_core_Rng *__pyx_v_self, PyObject *__pyx_v_size, PyObject *__pyx_v_shape, PyObject *__pyx_v_scale, PyObject *__pyx_v_out, PyObject *__pyx_v_dtype); /* proto */
static PyObject *__pyx_pf_10randompack_5_core_3Rng_36beta(struct __pyx_obj_10randompack_5_core_Rng *__pyx_v_self, PyObject *__pyx_v_size, PyObject *__pyx_v_a, PyObject *__pyx_v_b, PyObject *__pyx_v_out, PyObject *__pyx_v_dtype); /* proto */
static PyObject *__pyx_pf_10randompack_5_core_3Rng_38chi2(struct __pyx_obj_10randompack_5_core_Rng *__pyx_v_self, PyObject *__pyx_v_size, PyObject *__pyx_v_nu, PyObject *__pyx_v_out, PyObject *__pyx_v_dtype); /* proto */
static PyObject *__pyx_pf_10randompack_5_core_3Rng_40t(struct __pyx_obj_10randompack_5_core_Rng *__pyx_v_self, PyObject *__pyx_v_size, PyObject *__pyx_v_nu, PyObject *__pyx_v_out, PyObject *__pyx_v_dtype); /* proto */
static PyObject *__pyx_pf_10randompack_5_core_3Rng_42f(struct __pyx_obj_10randompack_5_core_Rng *__pyx_v_self, PyObject *__pyx_v_size, PyObject *__pyx_v_nu1, PyObject *__pyx_v_nu2, PyObject *__pyx_v_out, PyObject *__pyx_v_dtype); /* proto */
static PyObject *__pyx_pf_10randompack_5_core_3Rng_44gumbel(struct __pyx_obj_10randompack_5_core_Rng *__pyx_v_self, PyObject *__pyx_v_size, PyObject *__pyx_v_mu, PyObject *__pyx_v_beta, PyObject *__pyx_v_out, PyObject *__pyx_v_dtype); /* proto */
static PyObject *__pyx_pf_10randompack_5_core_3Rng_46pareto(struct __pyx_obj_10randompack_5_core_Rng *__pyx_v_self, PyObject *__pyx_v_size, PyObject *__pyx_v_xm, PyObject *__pyx_v_alpha, PyObject *__pyx_v_out, PyObject *__pyx_v_dtype); /* proto */
static PyObject *__pyx_pf_10randompack_5_core_3Rng_48weibull(struct __pyx_obj_10randompack_5_core_Rng *__pyx_v_self, PyObject *__pyx_v_size, PyObject *__pyx_v_shape, PyObject *__pyx_v_scale, PyObject *__pyx_v_out, PyObject *__pyx_v_dtype); /* proto */
static PyObject *__pyx_pf_10randompack_5_core_3Rng_50skew_normal(struct __pyx_obj_10randompack_5_core_Rng *__pyx_v_self, PyObject *__pyx_v_size, PyObject *__pyx_v_mu, PyObject *__pyx_v_sigma, PyObject *__pyx_v_alpha, PyObject *__pyx_v_out, PyObject *__pyx_v_dtype); /* proto */
static PyObject *__pyx_pf_10randompack_5_core_3Rng_52mvn(struct __pyx_obj_10randompack_5_core_Rng *__pyx_v_self, PyObject *__pyx_v_size, PyObject *__pyx_v_Sigma, PyObject *__pyx_v_mu, PyObject *__pyx_v_out); /* proto */
static PyObject *__pyx_pf_10randompack_5_core_3Rng_54int(struct __pyx_obj_10randompack_5_core_Rng *__pyx_v_self, PyObject *__pyx_v_a, PyObject *__pyx_v_b, PyObject *__pyx_v_size, PyObject *__pyx_v_out, PyObject *__pyx_v_dtype); /* proto */
static PyObject *__pyx_pf_10randompack_5_core_3Rng_56perm(struct __pyx_obj_10randompack_5_core_Rng *__pyx_v_self, PyObject *__pyx_v_n, PyObject *__pyx_v_out); /* proto */
static PyObject *__pyx_pf_10randompack_5_core_3Rng_58sample(struct __pyx_obj_10randompack_5_core_Rng *__pyx_v_self, PyObject *__pyx_v_n, PyObject *__pyx_v_k, PyObject *__pyx_v_out); /* proto */
static PyObject *__pyx_pf_10randompack_5_core_3Rng_60raw(struct __pyx_obj_10randompack_5_core_Rng *__pyx_v_self, PyObject *__pyx_v_n); /* proto */
static PyObject *__pyx_pf_10randompack_5_core_3Rng_62__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_10randompack_5_core_Rng *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_10randompack_5_core_3Rng_64__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_10randompack_5_core_Rng *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_10randompack_5_core_11_EngineInfo_8__repr___genexpr(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_genexpr_arg_0); /* proto */
static PyObject *__pyx_pf_10randompack_5_core_11_EngineInfo___repr__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_10randompack_5_core_engines(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_tp_new_10randompack_5_core_Rng(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_10randompack_5_core___pyx_scope_struct__genexpr(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
/* #### Code section: late_includes ### */
/* #### Code section: module_state ### */
/* SmallCodeConfig */
#ifndef CYTHON_SMALL_CODE
#if defined(__clang__)
    #define CYTHON_SMALL_CODE
#elif defined(__GNUC__) && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 3))
    #define CYTHON_SMALL_CODE __attribute__((cold))
#else
    #define CYTHON_SMALL_CODE
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typedef struct {
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  PyObject *__pyx_empty_bytes;
  PyObject *__pyx_empty_unicode;
  PyTypeObject *__pyx_ptype_7cpython_4type_type;
  PyTypeObject *__pyx_ptype_5numpy_dtype;
  PyTypeObject *__pyx_ptype_5numpy_flatiter;
  PyTypeObject *__pyx_ptype_5numpy_broadcast;
  PyTypeObject *__pyx_ptype_5numpy_ndarray;
  PyTypeObject *__pyx_ptype_5numpy_generic;
  PyTypeObject *__pyx_ptype_5numpy_number;
  PyTypeObject *__pyx_ptype_5numpy_integer;
  PyTypeObject *__pyx_ptype_5numpy_signedinteger;
  PyTypeObject *__pyx_ptype_5numpy_unsignedinteger;
  PyTypeObject *__pyx_ptype_5numpy_inexact;
  PyTypeObject *__pyx_ptype_5numpy_floating;
  PyTypeObject *__pyx_ptype_5numpy_complexfloating;
  PyTypeObject *__pyx_ptype_5numpy_flexible;
  PyTypeObject *__pyx_ptype_5numpy_character;
  PyTypeObject *__pyx_ptype_5numpy_ufunc;
  PyObject *__pyx_type_10randompack_5_core_Rng;
  PyObject *__pyx_type_10randompack_5_core___pyx_scope_struct__genexpr;
  PyTypeObject *__pyx_ptype_10randompack_5_core_Rng;
  PyTypeObject *__pyx_ptype_10randompack_5_core___pyx_scope_struct__genexpr;
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  __Pyx_CachedCFunction __pyx_umethod_PyDict_Type_pop;
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/* #### Code section: module_state_contents ### */

#if CYTHON_USE_FREELISTS
struct __pyx_obj_10randompack_5_core___pyx_scope_struct__genexpr *__pyx_freelist_10randompack_5_core___pyx_scope_struct__genexpr[8];
int __pyx_freecount_10randompack_5_core___pyx_scope_struct__genexpr;
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/* CommonTypesMetaclass.module_state_decls */
PyTypeObject *__pyx_CommonTypesMetaclassType;

/* CachedMethodType.module_state_decls */
#if CYTHON_COMPILING_IN_LIMITED_API
PyObject *__Pyx_CachedMethodType;
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/* CythonFunctionShared.module_state_decls */
PyTypeObject *__pyx_CyFunctionType;

/* CodeObjectCache.module_state_decls */
struct __Pyx_CodeObjectCache __pyx_code_cache;

/* IterNextPlain.module_state_decls */
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
PyObject *__Pyx_GetBuiltinNext_LimitedAPI_cache;
#endif

/* Generator.module_state_decls */
PyTypeObject *__pyx_GeneratorType;

/* #### Code section: module_state_end ### */
} __pyx_mstatetype;

#if CYTHON_USE_MODULE_STATE
#ifdef __cplusplus
namespace {
extern struct PyModuleDef __pyx_moduledef;
} /* anonymous namespace */
#else
static struct PyModuleDef __pyx_moduledef;
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#define __pyx_mstate_global (__Pyx_PyModule_GetState(__Pyx_State_FindModule(&__pyx_moduledef)))

#define __pyx_m (__Pyx_State_FindModule(&__pyx_moduledef))
#else
static __pyx_mstatetype __pyx_mstate_global_static =
#ifdef __cplusplus
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#else
    {0};
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static __pyx_mstatetype * const __pyx_mstate_global = &__pyx_mstate_global_static;
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/* #### Code section: constant_name_defines ### */
#define __pyx_kp_u_ __pyx_string_tab[0]
#define __pyx_kp_u_Draw_a_random_permutation_of_1 __pyx_string_tab[1]
#define __pyx_kp_u_Draw_samples_from_a_Gumbel_dist __pyx_string_tab[2]
#define __pyx_kp_u_Draw_samples_from_a_Pareto_dist __pyx_string_tab[3]
#define __pyx_kp_u_Draw_samples_from_a_Student_s_t __pyx_string_tab[4]
#define __pyx_kp_u_Draw_samples_from_a_Weibull_dis __pyx_string_tab[5]
#define __pyx_kp_u_Draw_samples_from_a_beta_distri __pyx_string_tab[6]
#define __pyx_kp_u_Draw_samples_from_a_chi_square __pyx_string_tab[7]
#define __pyx_kp_u_Draw_samples_from_a_gamma_distr __pyx_string_tab[8]
#define __pyx_kp_u_Draw_samples_from_a_lognormal_d __pyx_string_tab[9]
#define __pyx_kp_u_Draw_samples_from_a_multivariate __pyx_string_tab[10]
#define __pyx_kp_u_Draw_samples_from_a_normal_distr __pyx_string_tab[11]
#define __pyx_kp_u_Draw_samples_from_a_skew_normal __pyx_string_tab[12]
#define __pyx_kp_u_Draw_samples_from_a_uniform_dis __pyx_string_tab[13]
#define __pyx_kp_u_Draw_samples_from_an_F_distribu __pyx_string_tab[14]
#define __pyx_kp_u_Draw_samples_from_an_exponential __pyx_string_tab[15]
#define __pyx_kp_u_Draw_uniform_integers_If_a_and __pyx_string_tab[16]
#define __pyx_kp_u_Duplicate_the_random_number_gen __pyx_string_tab[17]
#define __pyx_kp_u_Generate_random_bytes_Parameter __pyx_string_tab[18]
#define __pyx_kp_u_List_available_random_number_ge __pyx_string_tab[19]
#define __pyx_kp_u_RNG_pointer_is_NULL __pyx_string_tab[20]
#define __pyx_kp_u_Randomize_the_random_number_gen __pyx_string_tab[21]
#define __pyx_kp_u_Rng_beta_line_892 __pyx_string_tab[22]
#define __pyx_kp_u_Rng_chi2_line_951 __pyx_string_tab[23]
#define __pyx_kp_u_Rng_duplicate_line_317 __pyx_string_tab[24]
#define __pyx_kp_u_Rng_exp_line_710 __pyx_string_tab[25]
#define __pyx_kp_u_Rng_f_line_1062 __pyx_string_tab[26]
#define __pyx_kp_u_Rng_full_mantissa_line_254 __pyx_string_tab[27]
#define __pyx_kp_u_Rng_gamma_line_830 __pyx_string_tab[28]
#define __pyx_kp_u_Rng_gumbel_line_1121 __pyx_string_tab[29]
#define __pyx_kp_u_Rng_int_line_1471 __pyx_string_tab[30]
#define __pyx_kp_u_Rng_lognormal_line_770 __pyx_string_tab[31]
#define __pyx_kp_u_Rng_mvn_line_1364 __pyx_string_tab[32]
#define __pyx_kp_u_Rng_normal_line_639 __pyx_string_tab[33]
#define __pyx_kp_u_Rng_pareto_line_1182 __pyx_string_tab[34]
#define __pyx_kp_u_Rng_perm_line_1563 __pyx_string_tab[35]
#define __pyx_kp_u_Rng_philox_set_state_line_437 __pyx_string_tab[36]
#define __pyx_kp_u_Rng_randomize_line_226 __pyx_string_tab[37]
#define __pyx_kp_u_Rng_raw_line_1694 __pyx_string_tab[38]
#define __pyx_kp_u_Rng_sample_line_1629 __pyx_string_tab[39]
#define __pyx_kp_u_Rng_seed_line_164 __pyx_string_tab[40]
#define __pyx_kp_u_Rng_skew_normal_line_1300 __pyx_string_tab[41]
#define __pyx_kp_u_Rng_t_line_1006 __pyx_string_tab[42]
#define __pyx_kp_u_Rng_unif_line_577 __pyx_string_tab[43]
#define __pyx_kp_u_Rng_vector_logexp_line_286 __pyx_string_tab[44]
#define __pyx_kp_u_Rng_weibull_line_1241 __pyx_string_tab[45]
#define __pyx_kp_u_Sample_without_replacement_from __pyx_string_tab[46]
#define __pyx_kp_u_Seed_the_random_number_generato __pyx_string_tab[47]
#define __pyx_kp_u_Set_the_internal_counter_and_ke __pyx_string_tab[48]
#define __pyx_kp_u_Sigma_must_be_a_square_2D_array __pyx_string_tab[49]
#define __pyx_kp_u_Sigma_must_be_provided __pyx_string_tab[50]
#define __pyx_kp_u_Toggle_full_mantissa_generation __pyx_string_tab[51]
#define __pyx_kp_u_Toggle_vectorized_log_exp_imple __pyx_string_tab[52]
#define __pyx_kp_u__2 __pyx_string_tab[53]
#define __pyx_kp_u__3 __pyx_string_tab[54]
#define __pyx_kp_u__4 __pyx_string_tab[55]
#define __pyx_kp_u__6 __pyx_string_tab[56]
#define __pyx_kp_u_a_and_b_must_be_given_together __pyx_string_tab[57]
#define __pyx_kp_u_a_out_of_range_for_int32 __pyx_string_tab[58]
#define __pyx_kp_u_a_out_of_range_for_int64 __pyx_string_tab[59]
#define __pyx_kp_u_b_out_of_range_for_int32 __pyx_string_tab[60]
#define __pyx_kp_u_b_out_of_range_for_int64 __pyx_string_tab[61]
#define __pyx_kp_u_cannot_pass_both_out_and_dtype __pyx_string_tab[62]
#define __pyx_kp_u_cannot_pass_both_out_and_size __pyx_string_tab[63]
#define __pyx_kp_u_ctr_entries_must_be_in_0_2_64_1 __pyx_string_tab[64]
#define __pyx_kp_u_ctr_must_be_in_0_2_64_1 __pyx_string_tab[65]
#define __pyx_kp_u_ctr_must_have_length_4 __pyx_string_tab[66]
#define __pyx_kp_u_disable __pyx_string_tab[67]
#define __pyx_kp_u_dtype_must_be_float32_or_float64 __pyx_string_tab[68]
#define __pyx_kp_u_dtype_must_be_int32_or_int64 __pyx_string_tab[69]
#define __pyx_kp_u_enable __pyx_string_tab[70]
#define __pyx_kp_u_engine_must_be_a_string __pyx_string_tab[71]
#define __pyx_kp_u_engines_line_1748 __pyx_string_tab[72]
#define __pyx_kp_u_gc __pyx_string_tab[73]
#define __pyx_kp_u_inc_must_be_in_0_2_128_1 __pyx_string_tab[74]
#define __pyx_kp_u_isenabled __pyx_string_tab[75]
#define __pyx_kp_u_key_entries_must_be_in_0_2_64_1 __pyx_string_tab[76]
#define __pyx_kp_u_key_must_be_in_0_2_64_1 __pyx_string_tab[77]
#define __pyx_kp_u_key_must_have_length_2 __pyx_string_tab[78]
#define __pyx_kp_u_mu_must_have_length_d __pyx_string_tab[79]
#define __pyx_kp_u_n_and_k_must_be_nonnegative __pyx_string_tab[80]
#define __pyx_kp_u_n_must_be_nonnegative __pyx_string_tab[81]
#define __pyx_kp_u_no_default___reduce___due_to_non __pyx_string_tab[82]
#define __pyx_kp_u_numpy__core_multiarray_failed_to __pyx_string_tab[83]
#define __pyx_kp_u_numpy__core_umath_failed_to_impo __pyx_string_tab[84]
#define __pyx_kp_u_out_has_wrong_length __pyx_string_tab[85]
#define __pyx_kp_u_out_must_be_1D __pyx_string_tab[86]
#define __pyx_kp_u_out_must_be_a_2D_array __pyx_string_tab[87]
#define __pyx_kp_u_out_must_be_a_numpy_array __pyx_string_tab[88]
#define __pyx_kp_u_out_must_be_contiguous __pyx_string_tab[89]
#define __pyx_kp_u_out_must_be_float32_or_float64 __pyx_string_tab[90]
#define __pyx_kp_u_out_must_be_float64 __pyx_string_tab[91]
#define __pyx_kp_u_out_must_be_int32 __pyx_string_tab[92]
#define __pyx_kp_u_out_must_be_int32_or_int64 __pyx_string_tab[93]
#define __pyx_kp_u_out_must_be_writable __pyx_string_tab[94]
#define __pyx_kp_u_out_shape_does_not_match_Sigma __pyx_string_tab[95]
#define __pyx_kp_u_randompack__core_pyx __pyx_string_tab[96]
#define __pyx_kp_u_randompack_create_failed __pyx_string_tab[97]
#define __pyx_kp_u_randompack_engines_failed __pyx_string_tab[98]
#define __pyx_kp_u_randompack_engines_returned_inva __pyx_string_tab[99]
#define __pyx_kp_u_randompack_error __pyx_string_tab[100]
#define __pyx_kp_u_require_a_b __pyx_string_tab[101]
#define __pyx_kp_u_require_k_n __pyx_string_tab[102]
#define __pyx_kp_u_seed_out_of_range_for_int32 __pyx_string_tab[103]
#define __pyx_kp_u_size_must_be_None_when_out_is_pr __pyx_string_tab[104]
#define __pyx_kp_u_size_must_be_an_integer __pyx_string_tab[105]
#define __pyx_kp_u_size_must_be_nonnegative __pyx_string_tab[106]
#define __pyx_kp_u_spawn_key_entries_must_be_in_0_2 __pyx_string_tab[107]
#define __pyx_kp_u_state_entries_must_be_in_0_2_64 __pyx_string_tab[108]
#define __pyx_kp_u_state_must_be_a_1D_array __pyx_string_tab[109]
#define __pyx_kp_u_state_must_be_bytes __pyx_string_tab[110]
#define __pyx_kp_u_state_must_be_in_0_2_128_1 __pyx_string_tab[111]
#define __pyx_kp_u_state_too_long __pyx_string_tab[112]
#define __pyx_kp_u_stringsource __pyx_string_tab[113]
#define __pyx_kp_u_utf_8 __pyx_string_tab[114]
#define __pyx_n_u_C_CONTIGUOUS __pyx_string_tab[115]
#define __pyx_n_u_EngineInfo __pyx_string_tab[116]
#define __pyx_n_u_EngineInfo___repr __pyx_string_tab[117]
#define __pyx_n_u_EngineInfo___repr___locals_gene __pyx_string_tab[118]
#define __pyx_n_u_Pyx_PyDict_NextRef __pyx_string_tab[119]
#define __pyx_n_u_Rng __pyx_string_tab[120]
#define __pyx_n_u_Rng___reduce_cython __pyx_string_tab[121]
#define __pyx_n_u_Rng___setstate_cython __pyx_string_tab[122]
#define __pyx_n_u_Rng_beta __pyx_string_tab[123]
#define __pyx_n_u_Rng_chi2 __pyx_string_tab[124]
#define __pyx_n_u_Rng_deserialize __pyx_string_tab[125]
#define __pyx_n_u_Rng_duplicate __pyx_string_tab[126]
#define __pyx_n_u_Rng_exp __pyx_string_tab[127]
#define __pyx_n_u_Rng_f __pyx_string_tab[128]
#define __pyx_n_u_Rng_full_mantissa __pyx_string_tab[129]
#define __pyx_n_u_Rng_gamma __pyx_string_tab[130]
#define __pyx_n_u_Rng_gumbel __pyx_string_tab[131]
#define __pyx_n_u_Rng_int __pyx_string_tab[132]
#define __pyx_n_u_Rng_lognormal __pyx_string_tab[133]
#define __pyx_n_u_Rng_mvn __pyx_string_tab[134]
#define __pyx_n_u_Rng_normal __pyx_string_tab[135]
#define __pyx_n_u_Rng_pareto __pyx_string_tab[136]
#define __pyx_n_u_Rng_pcg64_set_state __pyx_string_tab[137]
#define __pyx_n_u_Rng_perm __pyx_string_tab[138]
#define __pyx_n_u_Rng_philox_set_state __pyx_string_tab[139]
#define __pyx_n_u_Rng_randomize __pyx_string_tab[140]
#define __pyx_n_u_Rng_raw __pyx_string_tab[141]
#define __pyx_n_u_Rng_sample __pyx_string_tab[142]
#define __pyx_n_u_Rng_seed __pyx_string_tab[143]
#define __pyx_n_u_Rng_serialize __pyx_string_tab[144]
#define __pyx_n_u_Rng_set_state __pyx_string_tab[145]
#define __pyx_n_u_Rng_skew_normal __pyx_string_tab[146]
#define __pyx_n_u_Rng_squares_set_state __pyx_string_tab[147]
#define __pyx_n_u_Rng_t __pyx_string_tab[148]
#define __pyx_n_u_Rng_unif __pyx_string_tab[149]
#define __pyx_n_u_Rng_vector_logexp __pyx_string_tab[150]
#define __pyx_n_u_Rng_weibull __pyx_string_tab[151]
#define __pyx_n_u_Sig_arr __pyx_string_tab[152]
#define __pyx_n_u_Sig_ptr __pyx_string_tab[153]
#define __pyx_n_u_Sigma __pyx_string_tab[154]
#define __pyx_n_u_U128_MAX __pyx_string_tab[155]
#define __pyx_n_u_U32_MAX __pyx_string_tab[156]
#define __pyx_n_u_U64_MAX __pyx_string_tab[157]
#define __pyx_n_u_WRITEABLE __pyx_string_tab[158]
#define __pyx_n_u_X_ptr __pyx_string_tab[159]
#define __pyx_n_u_a __pyx_string_tab[160]
#define __pyx_n_u_a32 __pyx_string_tab[161]
#define __pyx_n_u_a64 __pyx_string_tab[162]
#define __pyx_n_u_a_d __pyx_string_tab[163]
#define __pyx_n_u_a_i __pyx_string_tab[164]
#define __pyx_n_u_alpha __pyx_string_tab[165]
#define __pyx_n_u_alpha_d __pyx_string_tab[166]
#define __pyx_n_u_arr __pyx_string_tab[167]
#define __pyx_n_u_asarray __pyx_string_tab[168]
#define __pyx_n_u_ascontiguousarray __pyx_string_tab[169]
#define __pyx_n_u_asyncio_coroutines __pyx_string_tab[170]
#define __pyx_n_u_b __pyx_string_tab[171]
#define __pyx_n_u_b32 __pyx_string_tab[172]
#define __pyx_n_u_b64 __pyx_string_tab[173]
#define __pyx_n_u_b_d __pyx_string_tab[174]
#define __pyx_n_u_b_i __pyx_string_tab[175]
#define __pyx_n_u_beta __pyx_string_tab[176]
#define __pyx_n_u_beta_d __pyx_string_tab[177]
#define __pyx_n_u_buf __pyx_string_tab[178]
#define __pyx_n_u_c __pyx_string_tab[179]
#define __pyx_n_u_chi2 __pyx_string_tab[180]
#define __pyx_n_u_cline_in_traceback __pyx_string_tab[181]
#define __pyx_n_u_close __pyx_string_tab[182]
#define __pyx_n_u_ctr __pyx_string_tab[183]
#define __pyx_n_u_ctr_i __pyx_string_tab[184]
#define __pyx_n_u_ctr_v __pyx_string_tab[185]
#define __pyx_n_u_d __pyx_string_tab[186]
#define __pyx_n_u_decode __pyx_string_tab[187]
#define __pyx_n_u_desc __pyx_string_tab[188]
#define __pyx_n_u_desc_buf __pyx_string_tab[189]
#define __pyx_n_u_desc_max __pyx_string_tab[190]
#define __pyx_n_u_desc_ptr __pyx_string_tab[191]
#define __pyx_n_u_deserialize __pyx_string_tab[192]
#define __pyx_n_u_doc __pyx_string_tab[193]
#define __pyx_n_u_dtype __pyx_string_tab[194]
#define __pyx_n_u_dup __pyx_string_tab[195]
#define __pyx_n_u_duplicate __pyx_string_tab[196]
#define __pyx_n_u_e __pyx_string_tab[197]
#define __pyx_n_u_empty __pyx_string_tab[198]
#define __pyx_n_u_enable __pyx_string_tab[199]
#define __pyx_n_u_encode __pyx_string_tab[200]
#define __pyx_n_u_eng_buf __pyx_string_tab[201]
#define __pyx_n_u_eng_max __pyx_string_tab[202]
#define __pyx_n_u_eng_ptr __pyx_string_tab[203]
#define __pyx_n_u_engine __pyx_string_tab[204]
#define __pyx_n_u_engines __pyx_string_tab[205]
#define __pyx_n_u_exp __pyx_string_tab[206]
#define __pyx_n_u_f __pyx_string_tab[207]
#define __pyx_n_u_flags __pyx_string_tab[208]
#define __pyx_n_u_float32 __pyx_string_tab[209]
#define __pyx_n_u_float64 __pyx_string_tab[210]
#define __pyx_n_u_full_mantissa __pyx_string_tab[211]
#define __pyx_n_u_func __pyx_string_tab[212]
#define __pyx_n_u_gamma __pyx_string_tab[213]
#define __pyx_n_u_genexpr __pyx_string_tab[214]
#define __pyx_n_u_getstate __pyx_string_tab[215]
#define __pyx_n_u_gumbel __pyx_string_tab[216]
#define __pyx_n_u_i __pyx_string_tab[217]
#define __pyx_n_u_ic_i __pyx_string_tab[218]
#define __pyx_n_u_inc __pyx_string_tab[219]
#define __pyx_n_u_int __pyx_string_tab[220]
#define __pyx_n_u_int32 __pyx_string_tab[221]
#define __pyx_n_u_int64 __pyx_string_tab[222]
#define __pyx_n_u_is_coroutine __pyx_string_tab[223]
#define __pyx_n_u_is_f64 __pyx_string_tab[224]
#define __pyx_n_u_is_i64 __pyx_string_tab[225]
#define __pyx_n_u_items __pyx_string_tab[226]
#define __pyx_n_u_k __pyx_string_tab[227]
#define __pyx_n_u_k_i __pyx_string_tab[228]
#define __pyx_n_u_key __pyx_string_tab[229]
#define __pyx_n_u_key_i __pyx_string_tab[230]
#define __pyx_n_u_key_v __pyx_string_tab[231]
#define __pyx_n_u_ldX __pyx_string_tab[232]
#define __pyx_n_u_lines __pyx_string_tab[233]
#define __pyx_n_u_lognormal __pyx_string_tab[234]
#define __pyx_n_u_main __pyx_string_tab[235]
#define __pyx_n_u_mask __pyx_string_tab[236]
#define __pyx_n_u_max __pyx_string_tab[237]
#define __pyx_n_u_max_u128 __pyx_string_tab[238]
#define __pyx_n_u_metaclass __pyx_string_tab[239]
#define __pyx_n_u_module __pyx_string_tab[240]
#define __pyx_n_u_mro_entries __pyx_string_tab[241]
#define __pyx_n_u_mu __pyx_string_tab[242]
#define __pyx_n_u_mu_arr __pyx_string_tab[243]
#define __pyx_n_u_mu_d __pyx_string_tab[244]
#define __pyx_n_u_mu_ptr __pyx_string_tab[245]
#define __pyx_n_u_mvn __pyx_string_tab[246]
#define __pyx_n_u_n __pyx_string_tab[247]
#define __pyx_n_u_n_elem __pyx_string_tab[248]
#define __pyx_n_u_n_i __pyx_string_tab[249]
#define __pyx_n_u_name __pyx_string_tab[250]
#define __pyx_n_u_name_2 __pyx_string_tab[251]
#define __pyx_n_u_nbytes __pyx_string_tab[252]
#define __pyx_n_u_next __pyx_string_tab[253]
#define __pyx_n_u_normal __pyx_string_tab[254]
#define __pyx_n_u_np __pyx_string_tab[255]
#define __pyx_n_u_nstate __pyx_string_tab[256]
#define __pyx_n_u_nu __pyx_string_tab[257]
#define __pyx_n_u_nu1 __pyx_string_tab[258]
#define __pyx_n_u_nu1_d __pyx_string_tab[259]
#define __pyx_n_u_nu2 __pyx_string_tab[260]
#define __pyx_n_u_nu2_d __pyx_string_tab[261]
#define __pyx_n_u_nu_d __pyx_string_tab[262]
#define __pyx_n_u_numpy __pyx_string_tab[263]
#define __pyx_n_u_obj __pyx_string_tab[264]
#define __pyx_n_u_ok __pyx_string_tab[265]
#define __pyx_n_u_out __pyx_string_tab[266]
#define __pyx_n_u_pareto __pyx_string_tab[267]
#define __pyx_n_u_pcg64_set_state __pyx_string_tab[268]
#define __pyx_n_u_perm __pyx_string_tab[269]
#define __pyx_n_u_philox_set_state __pyx_string_tab[270]
#define __pyx_n_u_pop __pyx_string_tab[271]
#define __pyx_n_u_prepare __pyx_string_tab[272]
#define __pyx_n_u_ptr __pyx_string_tab[273]
#define __pyx_n_u_pyx_state __pyx_string_tab[274]
#define __pyx_n_u_qualname __pyx_string_tab[275]
#define __pyx_n_u_randomize __pyx_string_tab[276]
#define __pyx_n_u_randompack__core __pyx_string_tab[277]
#define __pyx_n_u_raw __pyx_string_tab[278]
#define __pyx_n_u_reduce __pyx_string_tab[279]
#define __pyx_n_u_reduce_cython __pyx_string_tab[280]
#define __pyx_n_u_reduce_ex __pyx_string_tab[281]
#define __pyx_n_u_replace __pyx_string_tab[282]
#define __pyx_n_u_repr __pyx_string_tab[283]
#define __pyx_n_u_s __pyx_string_tab[284]
#define __pyx_n_u_sample __pyx_string_tab[285]
#define __pyx_n_u_scale __pyx_string_tab[286]
#define __pyx_n_u_scale_d __pyx_string_tab[287]
#define __pyx_n_u_seed __pyx_string_tab[288]
#define __pyx_n_u_self __pyx_string_tab[289]
#define __pyx_n_u_send __pyx_string_tab[290]
#define __pyx_n_u_serialize __pyx_string_tab[291]
#define __pyx_n_u_set_name __pyx_string_tab[292]
#define __pyx_n_u_set_state __pyx_string_tab[293]
#define __pyx_n_u_setdefault __pyx_string_tab[294]
#define __pyx_n_u_setstate __pyx_string_tab[295]
#define __pyx_n_u_setstate_cython __pyx_string_tab[296]
#define __pyx_n_u_shape __pyx_string_tab[297]
#define __pyx_n_u_shape_d __pyx_string_tab[298]
#define __pyx_n_u_sigma __pyx_string_tab[299]
#define __pyx_n_u_sigma_d __pyx_string_tab[300]
#define __pyx_n_u_size __pyx_string_tab[301]
#define __pyx_n_u_skew_normal __pyx_string_tab[302]
#define __pyx_n_u_spawn_key __pyx_string_tab[303]
#define __pyx_n_u_split __pyx_string_tab[304]
#define __pyx_n_u_squares_set_state __pyx_string_tab[305]
#define __pyx_n_u_st __pyx_string_tab[306]
#define __pyx_n_u_st_i __pyx_string_tab[307]
#define __pyx_n_u_state __pyx_string_tab[308]
#define __pyx_n_u_t __pyx_string_tab[309]
#define __pyx_n_u_test __pyx_string_tab[310]
#define __pyx_n_u_throw __pyx_string_tab[311]
#define __pyx_n_u_transp __pyx_string_tab[312]
#define __pyx_n_u_uint32 __pyx_string_tab[313]
#define __pyx_n_u_uint64 __pyx_string_tab[314]
#define __pyx_n_u_unif __pyx_string_tab[315]
#define __pyx_n_u_v __pyx_string_tab[316]
#define __pyx_n_u_val __pyx_string_tab[317]
#define __pyx_n_u_vals __pyx_string_tab[318]
#define __pyx_n_u_vals_ctr __pyx_string_tab[319]
#define __pyx_n_u_vals_key __pyx_string_tab[320]
#define __pyx_n_u_value __pyx_string_tab[321]
#define __pyx_n_u_values __pyx_string_tab[322]
#define __pyx_n_u_vector_logexp __pyx_string_tab[323]
#define __pyx_n_u_weibull __pyx_string_tab[324]
#define __pyx_n_u_width __pyx_string_tab[325]
#define __pyx_n_u_xm __pyx_string_tab[326]
#define __pyx_n_u_xm_d __pyx_string_tab[327]
#define __pyx_kp_b__5 __pyx_string_tab[328]
#define __pyx_kp_b_iso88591_12_4uCq_aq_Qd_AQ_4q_Qd __pyx_string_tab[329]
#define __pyx_kp_b_iso88591_14_4uCq_aq_Qd_AQ_4q_Qd __pyx_string_tab[330]
#define __pyx_kp_b_iso88591_1Z_4uCq_aq_Cq_2Rxs_Ba_AQ_S_t_3l __pyx_string_tab[331]
#define __pyx_kp_b_iso88591_1_aT_a_a_oQd_WF_5_q_q_xy_A_xwa __pyx_string_tab[332]
#define __pyx_kp_b_iso88591_2_aT_1_a_oQd_WF_5_q_az_hfA_1_q __pyx_string_tab[333]
#define __pyx_kp_b_iso88591_6FlRSZ_1_a_a_oQd_WF_5_q_1Je86_5 __pyx_string_tab[334]
#define __pyx_kp_b_iso88591_7_q_oQd_WF_5_q__AZuHE_d_QiuHG1 __pyx_string_tab[335]
#define __pyx_kp_b_iso88591_8_q_t_QfF_3ay_l_1_r_2S_2S_A_l_1 __pyx_string_tab[336]
#define __pyx_kp_b_iso88591_9Jan_4q_4vU_4we4uG1_AQ_6_A_1A_H __pyx_string_tab[337]
#define __pyx_kp_b_iso88591_A4_4uCq_aq_1A_1A_6_2S_b_AQ_6_2S __pyx_string_tab[338]
#define __pyx_kp_b_iso88591_A4_4uCq_aq_q_1Ct5_E_as_1_AQ_r_2S __pyx_string_tab[339]
#define __pyx_kp_b_iso88591_A6_4uCq_aq_s_1_s_1_q_1_5_CuBa_AQ __pyx_string_tab[340]
#define __pyx_kp_b_iso88591_A_4q_1_4q_F_fA_1D_9AQ_t5 __pyx_string_tab[341]
#define __pyx_kp_b_iso88591_A_4uCq_aq_1Cq_4uA_1Cq_4uA_3az_A __pyx_string_tab[342]
#define __pyx_kp_b_iso88591_A_4uCq_aq_4_1D_Qd __pyx_string_tab[343]
#define __pyx_kp_b_iso88591_A_4uCq_aq_4q_4s_Qd_c_7_q __pyx_string_tab[344]
#define __pyx_kp_b_iso88591_A_4uCq_aq_4z_1A_AQ_0_4_Qe5_4q_Qd __pyx_string_tab[345]
#define __pyx_kp_b_iso88591_A_4uCq_aq_c_4r_AQ_iq_k_Qa_q_XT_4 __pyx_string_tab[346]
#define __pyx_kp_b_iso88591_A_Q_4uCq_aq_4_1KvQc_Q_Qd_2S_Qd_i __pyx_string_tab[347]
#define __pyx_kp_b_iso88591_HN_L_l_m1D_e7_axq_Bc_t2S_AQ_2S __pyx_string_tab[348]
#define __pyx_kp_b_iso88591_I_V_1_a_oQd_WF_5_q_E_q_a_9E_2_4 __pyx_string_tab[349]
#define __pyx_kp_b_iso88591_L_4uCq_aq_c_c_4r_3d_A_AQ_4r_AQ __pyx_string_tab[350]
#define __pyx_kp_b_iso88591_L_V_A_A_oQd_WF_5_q_E_t1_9E_Q_4q __pyx_string_tab[351]
#define __pyx_kp_b_iso88591_Q __pyx_string_tab[352]
#define __pyx_kp_b_iso88591_QR_1_oQd_WF_5_q__AZuHF_a_QiuHG6 __pyx_string_tab[353]
#define __pyx_kp_b_iso88591_QV_4uCq_aq_c_4r_AQ_4s_F_5_b_at6 __pyx_string_tab[354]
#define __pyx_kp_b_iso88591_i_1_a_oQd_WF_5_q_1Je89D__AYe87 __pyx_string_tab[355]
#define __pyx_kp_b_iso88591_j_QX_1_Q_oQd_WF_5_q_az_hfA_1_q __pyx_string_tab[356]
#define __pyx_kp_b_iso88591_k_al_1_a_oQd_WF_5_q_az_hfA_1_q __pyx_string_tab[357]
#define __pyx_kp_b_iso88591_l_T_1_oQd_WF_5_q_E_t1_9E_d_4q_Q __pyx_string_tab[358]
#define __pyx_kp_b_iso88591_q __pyx_string_tab[359]
#define __pyx_kp_b_iso88591_qV_oQd_WF_5_q__AZuHE_d_QiuHG1_U __pyx_string_tab[360]
#define __pyx_kp_b_iso88591_y_AZ_a_a_oQd_WF_5_q_Qj_XYa_ay_X __pyx_string_tab[361]
#define __pyx_n_b_T __pyx_string_tab[362]
#define __pyx_float_0_0 __pyx_number_tab[0]
#define __pyx_float_1_0 __pyx_number_tab[1]
#define __pyx_int_0 __pyx_number_tab[2]
#define __pyx_int_1 __pyx_number_tab[3]
#define __pyx_int_64 __pyx_number_tab[4]
#define __pyx_int_4294967295 __pyx_number_tab[5]
#define __pyx_int_0xffffffffffffffff __pyx_number_tab[6]
#define __pyx_int_0xffffffffffffffffffffffffffffffff __pyx_number_tab[7]
/* #### Code section: module_state_clear ### */
#if CYTHON_USE_MODULE_STATE
static CYTHON_SMALL_CODE int __pyx_m_clear(PyObject *m) {
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  if (!clear_module_state) return 0;
  Py_CLEAR(clear_module_state->__pyx_d);
  Py_CLEAR(clear_module_state->__pyx_b);
  Py_CLEAR(clear_module_state->__pyx_cython_runtime);
  Py_CLEAR(clear_module_state->__pyx_empty_tuple);
  Py_CLEAR(clear_module_state->__pyx_empty_bytes);
  Py_CLEAR(clear_module_state->__pyx_empty_unicode);
  #if CYTHON_PEP489_MULTI_PHASE_INIT
  __Pyx_State_RemoveModule(NULL);
  #endif
  Py_CLEAR(clear_module_state->__pyx_ptype_7cpython_4type_type);
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/* "../../../../../../opt/homebrew/anaconda3/envs/randompack-py/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":243
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 *         @property
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  /* "../../../../../../opt/homebrew/anaconda3/envs/randompack-py/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":243
 *         cdef int type_num
 * 
 *         @property             # <<<<<<<<<<<<<<
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/* "../../../../../../opt/homebrew/anaconda3/envs/randompack-py/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":247
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 *         @property             # <<<<<<<<<<<<<<
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 *         # Use fields/names with care as they may be NULL.  You must check
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 *         @property             # <<<<<<<<<<<<<<
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/* "../../../../../../opt/homebrew/anaconda3/envs/randompack-py/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":253
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 *         @property
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/* "../../../../../../opt/homebrew/anaconda3/envs/randompack-py/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":268
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 *         @property             # <<<<<<<<<<<<<<
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  /* "../../../../../../opt/homebrew/anaconda3/envs/randompack-py/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":271
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 * 
*/
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 *         @property             # <<<<<<<<<<<<<<
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/* "../../../../../../opt/homebrew/anaconda3/envs/randompack-py/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":280
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 *         @property             # <<<<<<<<<<<<<<
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static CYTHON_INLINE int __pyx_f_5numpy_9broadcast_7numiter_numiter(PyArrayMultiIterObject *__pyx_v_self) {
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  /* "../../../../../../opt/homebrew/anaconda3/envs/randompack-py/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":283
 *         cdef inline int numiter(self) noexcept nogil:
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 * 
 *         @property
*/
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  /* "../../../../../../opt/homebrew/anaconda3/envs/randompack-py/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":280
 *     ctypedef class numpy.broadcast [object PyArrayMultiIterObject, check_size ignore]:
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 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline int numiter(self) noexcept nogil:
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/* "../../../../../../opt/homebrew/anaconda3/envs/randompack-py/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":285
 *             return PyArray_MultiIter_NUMITER(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
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static CYTHON_INLINE npy_intp __pyx_f_5numpy_9broadcast_4size_size(PyArrayMultiIterObject *__pyx_v_self) {
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  /* "../../../../../../opt/homebrew/anaconda3/envs/randompack-py/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":288
 *         cdef inline npy_intp size(self) noexcept nogil:
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 * 
 *         @property
*/
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  /* "../../../../../../opt/homebrew/anaconda3/envs/randompack-py/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":285
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 * 
 *         @property             # <<<<<<<<<<<<<<
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  /* function exit code */
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/* "../../../../../../opt/homebrew/anaconda3/envs/randompack-py/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":290
 *             return PyArray_MultiIter_SIZE(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline npy_intp index(self) noexcept nogil:
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static CYTHON_INLINE npy_intp __pyx_f_5numpy_9broadcast_5index_index(PyArrayMultiIterObject *__pyx_v_self) {
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  /* "../../../../../../opt/homebrew/anaconda3/envs/randompack-py/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":293
 *         cdef inline npy_intp index(self) noexcept nogil:
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 * 
 *         @property
*/
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  /* "../../../../../../opt/homebrew/anaconda3/envs/randompack-py/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":290
 *             return PyArray_MultiIter_SIZE(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline npy_intp index(self) noexcept nogil:
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/* "../../../../../../opt/homebrew/anaconda3/envs/randompack-py/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":295
 *             return PyArray_MultiIter_INDEX(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline int nd(self) noexcept nogil:
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static CYTHON_INLINE int __pyx_f_5numpy_9broadcast_2nd_nd(PyArrayMultiIterObject *__pyx_v_self) {
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  /* "../../../../../../opt/homebrew/anaconda3/envs/randompack-py/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":298
 *         cdef inline int nd(self) noexcept nogil:
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 *             return PyArray_MultiIter_NDIM(self)             # <<<<<<<<<<<<<<
 * 
 *         @property
*/
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  /* "../../../../../../opt/homebrew/anaconda3/envs/randompack-py/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":295
 *             return PyArray_MultiIter_INDEX(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline int nd(self) noexcept nogil:
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  /* function exit code */
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/* "../../../../../../opt/homebrew/anaconda3/envs/randompack-py/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":300
 *             return PyArray_MultiIter_NDIM(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline npy_intp* dimensions(self) noexcept nogil:
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  /* "../../../../../../opt/homebrew/anaconda3/envs/randompack-py/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":303
 *         cdef inline npy_intp* dimensions(self) noexcept nogil:
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 * 
 *         @property
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  /* "../../../../../../opt/homebrew/anaconda3/envs/randompack-py/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":300
 *             return PyArray_MultiIter_NDIM(self)
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 *         @property             # <<<<<<<<<<<<<<
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/* "../../../../../../opt/homebrew/anaconda3/envs/randompack-py/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":305
 *             return PyArray_MultiIter_DIMS(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline void** iters(self) noexcept nogil:
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static CYTHON_INLINE void **__pyx_f_5numpy_9broadcast_5iters_iters(PyArrayMultiIterObject *__pyx_v_self) {
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  /* "../../../../../../opt/homebrew/anaconda3/envs/randompack-py/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":309
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const char* const bytes = "{}\n        Draw a random permutation of 1..n.\n\n        Parameters\n        ----------\n        n : int\n            Size of the permutation.\n        out : numpy.ndarray, optional\n            Output array. Must be contiguous, writeable, and of dtype int32.\n\n        Returns\n        -------\n        numpy.ndarray\n            A permutation of 1..n as int32 values.\n\n        Notes\n        -----\n        Permutations are generated using the Fisher\342\200\223Yates shuffle algorithm.\n\n        Examples\n        --------\n        >>> import randompack, numpy as np\n        >>> rng = randompack.Rng()\n        >>> rng.seed(123)\n        >>> rng.perm(5)\n        array([1, 5, 2, 3, 4], dtype=int32)\n        >>> x = np.empty(5, dtype=np.int32)\n        >>> rng.seed(123)\n        >>> rng.perm(5, out=x)\n        >>> x\n        array([1, 5, 2, 3, 4], dtype=int32)\n\n        See Also\n        --------\n        int\n        sample\n        raw\n        \n        Draw samples from a Gumbel distribution.\n\n        Samples are drawn with location `mu` and scale `beta`. The default parameters\n        are `mu=0.0` and `beta=1.0`. The returned data type is float64 unless float32\n        is requested.\n\n        Parameters\n        ----------\n        size : int or tuple of int, optional\n            Output shape. Cannot be given together with `out`. If `size` is None, a\n            1-element array is returned.\n        mu : float, default 0.0\n            Location parameter.\n        beta : float, default 1.0\n            Scale parameter. Must satisfy beta > 0.\n        out : numpy.ndarray, optional\n            Output array. Must be contiguous, writeable, and of dtype float32 or float64.\n        dtype : numpy.dtype or str, optional\n            float32 or float64. Cannot be given together with `out`.\n\n        Returns\n        -------\n        numpy.ndarray\n            Samples drawn from the Gumbel distribution.\n\n        Notes\n        -----\n        Gumbel variates a""re generated as mu - beta * log(-log U) with U ~ Uniform(0,1).\n\n        Examples\n        --------\n        >>> import numpy as np, randompack\n        >>> rng = randompack.Rng()\n        >>> rng.gumbel(5)\n        >>> x = rng.gumbel(5, mu=0.0, beta=2.0)\n        >>> y = rng.gumbel(size=(3,3), dtype=np.float32)\n\n        See Also\n        --------\n        normal\n        pareto\n        \n        Draw samples from a Pareto distribution.\n\n        Samples are drawn with minimum value `xm` and shape parameter `alpha`. The\n        returned data type is float64 unless float32 is requested.\n\n        Parameters\n        ----------\n        size : int or tuple of int, optional\n            Output shape. Cannot be given together with `out`. If `size` is None, a\n            1-element array is returned.\n        xm : float\n            Minimum value. Must satisfy xm > 0.\n        alpha : float\n            Shape parameter. Must satisfy alpha > 0.\n        out : numpy.ndarray, optional\n            Output array. Must be contiguous, writeable, and of dtype float32 or float64.\n        dtype : numpy.dtype or str, optional\n            float32 or float64. Cannot be given together with `out`.\n\n        Returns\n        -------\n        numpy.ndarray\n            Samples drawn from the Pareto distribution.\n\n        Notes\n        -----\n        Pareto(xm,alpha) variates are generated as xm * exp(E/alpha) with E ~ Exp(1).\n\n        Examples\n        --------\n        >>> import numpy as np, randompack\n        >>> rng = randompack.Rng()\n        >>> rng.pareto(5, xm=1.0, alpha=2.0)\n        >>> y = rng.pareto(size=(3,3), xm=1, alpha=2, dtype=np.float32)\n\n        See Also\n        --------\n        gumbel\n        weibull\n        \n        Draw samples from a Student's t distribution.\n\n        Samples are drawn with `nu` degrees of freedom. The returned data type is\n        float64 unless float32 is requested.\n\n        Parameters\n        ----------\n        size"" : int or tuple of int, optional\n            Output shape. Cannot be given together with `out`. If `size` is None, a\n            1-element array is returned.\n        nu : float\n            Degrees of freedom. Must satisfy nu > 0.\n        out : numpy.ndarray, optional\n            Output array. Must be contiguous, writeable, and of dtype float32 or float64.\n        dtype : numpy.dtype or str, optional\n            float32 or float64. Cannot be given together with `out`.\n\n        Returns\n        -------\n        numpy.ndarray\n            Samples drawn from the t distribution.\n\n        Notes\n        -----\n        Student\342\200\231s t variates are generated as Z / sqrt(U/nu) with Z ~ N(0,1) and\n        U ~ Gamma(nu/2,2) independent.\n\n        Examples\n        --------\n        >>> import numpy as np, randompack\n        >>> rng = randompack.Rng()\n        >>> rng.t(5, nu=10)\n        >>> x = rng.t(5, nu=10, dtype=np.float32)\n\n        See Also\n        --------\n        normal\n        chi2\n        f\n        \n        Draw samples from a Weibull distribution.\n\n        Samples are drawn with shape parameter `shape` and scale parameter `scale`.\n        The default scale is 1.0. The returned data type is float64 unless float32\n        is requested.\n\n        Parameters\n        ----------\n        size : int or tuple of int, optional\n            Output shape. Cannot be given together with `out`. If `size` is None, a\n            1-element array is returned.\n        shape : float\n            Shape parameter. Must satisfy shape > 0.\n        scale : float, default 1.0\n            Scale parameter. Must satisfy scale > 0.\n        out : numpy.ndarray, optional\n            Output array. Must be contiguous, writeable, and of dtype float32 or float64.\n        dtype : numpy.dtype or str, optional\n            float32 or float64. Cannot be given together with `out`.\n\n        Returns\n        -------\n        numpy.ndarray\n            Samples draw""n from the Weibull distribution.\n\n        Notes\n        -----\n        Weibull variates are generated as scale * E^(1/shape) with E ~ Exp(1).\n\n        Examples\n        --------\n        >>> import numpy as np, randompack\n        >>> rng = randompack.Rng()\n        >>> rng.weibull(5, shape=2.0)\n        >>> y = rng.weibull(size=(3,3), shape=2, dtype=np.float32)\n\n        See Also\n        --------\n        pareto\n        \n        Draw samples from a beta distribution.\n\n        Samples are drawn from the beta distribution with parameters `a` and `b`. The\n        returned data type is float64 unless float32 is requested.\n\n        Parameters\n        ----------\n        size : int or tuple of int, optional\n            Output shape. Cannot be given together with `out`. If `size` is None, a\n            1-element array is returned.\n        a : float\n            First shape parameter. Must satisfy a > 0.\n        b : float\n            Second shape parameter. Must satisfy b > 0.\n        out : numpy.ndarray, optional\n            Output array. Must be contiguous, writeable, and of dtype float32 or float64.\n        dtype : numpy.dtype or str, optional\n            float32 or float64. Cannot be given together with `out`.\n\n        Returns\n        -------\n        numpy.ndarray\n            Samples drawn from the beta distribution.\n\n        Notes\n        -----\n        Beta(a,b) variates are generated as Ga/(Ga+Gb) with independent Ga ~ Gamma(a,1)\n        and Gb ~ Gamma(b,1).\n\n        Examples\n        --------\n        >>> import numpy as np\n        >>> import randompack\n        >>> rng = randompack.Rng()\n        >>> x = rng.beta(5, a=2.0, b=5.0)\n        >>> y = rng.beta(size=(3,3), a=2, b=5, dtype=np.float32)\n\n        See Also\n        --------\n        unif\n        \n        Draw samples from a chi-square distribution.\n\n        Samples are drawn with `nu` degrees of freedom. The returned data type is\n        float64 unless float32 is re""quested.\n\n        Parameters\n        ----------\n        size : int or tuple of int, optional\n            Output shape. Cannot be given together with `out`. If `size` is None, a\n            1-element array is returned.\n        nu : float\n            Degrees of freedom. Must satisfy nu > 0.\n        out : numpy.ndarray, optional\n            Output array. Must be contiguous, writeable, and of dtype float32 or float64.\n        dtype : numpy.dtype or str, optional\n            float32 or float64. Cannot be given together with `out`.\n\n        Returns\n        -------\n        numpy.ndarray\n            Samples drawn from the chi-square distribution.\n\n        Notes\n        -----\n        Chi-square variates are generated as Gamma(nu/2,2).\n\n        Examples\n        --------\n        >>> import numpy as np, randompack\n        >>> rng = randompack.Rng()\n        >>> rng.chi2(5, nu=3)\n        >>> x = rng.chi2(5, nu=3, dtype=np.float32)\n\n        See Also\n        --------\n        gamma\n        t\n        f\n        \n        Draw samples from a gamma distribution.\n\n        Samples are drawn with shape parameter `shape` and scale parameter `scale`.\n        The default scale is 1.0. The returned data type is float64 unless float32\n        is requested.\n\n        Parameters\n        ----------\n        size : int or tuple of int, optional\n            Output shape. Cannot be given together with `out`. If `size` is None, a\n            1-element array is returned.\n        shape : float\n            Shape parameter. Must satisfy shape > 0.\n        scale : float, default 1.0\n            Scale parameter. Must satisfy scale > 0.\n        out : numpy.ndarray, optional\n            Output array. Must be contiguous, writeable, and of dtype float32 or float64.\n        dtype : numpy.dtype or str, optional\n            float32 or float64. Cannot be given together with `out`.\n\n        Returns\n        -------\n        numpy.ndarray\n            Samples drawn"" from the gamma distribution.\n\n        Notes\n        -----\n        Gamma variates are generated using the Marsaglia\342\200\223Tsang method.\n\n        Examples\n        --------\n        >>> import numpy as np, randompack\n        >>> rng = randompack.Rng()\n        >>> rng.gamma(5, shape=2.0)\n        >>> x = rng.gamma(5, shape=2.0, scale=3.0)\n        >>> y = rng.gamma(size=(3,3), shape=2.0, dtype=np.float32)\n\n        See Also\n        --------\n        exp\n        lognormal\n        chi2\n        \n        Draw samples from a lognormal distribution.\n\n        Samples are drawn from a lognormal distribution derived from an underlying\n        normal distribution with mean `mu` and standard deviation `sigma`. The\n        default parameters are `mu=0.0` and `sigma=1.0`. The returned data type is\n        float64 unless float32 is requested.\n\n        Parameters\n        ----------\n        size : int or tuple of int, optional\n            Output shape. Cannot be given together with `out`. If `size` is None, a\n            1-element array is returned.\n        mu : float, default 0.0\n            Mean of the underlying normal distribution.\n        sigma : float, default 1.0\n            Standard deviation of the underlying normal distribution. Must satisfy\n            sigma > 0.\n        out : numpy.ndarray, optional\n            Output array. Must be contiguous, writeable, and of dtype float32 or float64.\n        dtype : numpy.dtype or str, optional\n            float32 or float64. Cannot be given together with `out`.\n\n        Returns\n        -------\n        numpy.ndarray\n            Samples drawn from the lognormal distribution.\n\n        Examples\n        --------\n        >>> import numpy as np, randompack\n        >>> rng = randompack.Rng()\n        >>> rng.lognormal(5)\n        >>> x = rng.lognormal(5, mu=1.0, sigma=0.5)\n        >>> y = rng.lognormal(size=(3,3), dtype=np.float32)\n\n        See Also\n        --------\n        normal\n      ""  exp\n        gamma\n        Draw samples from a multivariate normal distribution.\n\n        `Sigma` must be a symmetric positive semidefinite d by d covariance matrix given\n        as a 2D NumPy array. If `mu` is provided, it must have length d; otherwise a zero\n        mean is used. If `out` is provided, it must be a contiguous, writeable float64\n        2D array with d columns, and its number of rows determines the number of samples to\n        generate; otherwise `size` samples are generated. If `out` is provided `size` must\n        be None. The output is a 2D float64 NumPy array with the generated samples stored in\n        its rows.\n\n        Parameters\n        ----------\n        size : int, optional\n            Number of draws. Cannot be given together with `out`. If `size` is None,\n            a single draw is returned.\n        Sigma : array_like\n            Covariance matrix. Must be square.\n        mu : array_like, optional\n            Mean vector of length `d`.\n        out : numpy.ndarray, optional\n            Output array. Must be contiguous, writeable, float64, and of shape `(n, d)`.\n\n        Returns\n        -------\n        numpy.ndarray\n            Samples drawn from the multivariate normal distribution.\n\n        Notes\n        -----\n        Multivariate normal samples are generated using a Cholesky factorization of the\n        covariance matrix. Positive semidefinite, rank-deficient covariance matrices are\n        supported via pivoted Cholesky factorization.\n\n        Examples\n        --------\n        >>> import numpy as np, randompack\n        >>> rng = randompack.Rng()\n        >>> Sigma = np.array([[1.0, 0.3], [0.3, 2.0]])\n        >>> rng.mvn(5, Sigma)\n        >>> x = rng.mvn(100, Sigma, mu=[1.0, 2.0])\n\n        See Also\n        --------\n        normal\n\n        Draw samples from a normal distribution.\n\n        Samples are drawn from N(`mu`,`sigma`). The default parameters are `mu=0.0` and\n        `sigma=1.0`"", so if neither is provided then standard normal samples are obtained.\n        The returned data type is float64 unless float32 is requested.\n\n        Parameters\n        ----------\n        size : int or tuple of int, optional\n            Output shape. Cannot be given together with `out`. If `size` is None, a\n            1-element array is returned.\n        mu : float, default 0.0\n            Mean of the distribution.\n        sigma : float, default 1.0\n            Standard deviation. Must satisfy sigma > 0.\n        out : numpy.ndarray, optional\n            Output array. Must be contiguous, writeable, and of dtype float32 or float64.\n        dtype : numpy.dtype or str, optional\n            float32 or float64. Cannot be given together with `out`.\n\n        Returns\n        -------\n        numpy.ndarray\n            Samples drawn from the normal distribution.\n\n        Notes\n        -----\n        The normal distribution is generated using the Ziggurat rejection-sampling method\n        of Marsaglia and Tsang, with constants matching the NumPy implementation at the\n        time of writing (2025).\n\n        Examples\n        --------\n        >>> import numpy as np, randompack\n        >>> rng = randompack.Rng()\n        >>> rng.seed(42)\n        >>> rng.normal(2, mu=3, sigma=2)\n        array([6.64112356, 2.36966204])\n        >>> x = np.zeros(2)\n        >>> rng.seed(42)\n        >>> rng.normal(mu=3.0, sigma=2.0, out=x)\n        >>> x\n        array([6.64112356, 2.36966204])\n        >>> y = rng.normal(size=(3, 3), dtype=np.float32)\n\n        See Also\n        --------\n        unif\n        exp\n        lognormal\n        gamma\n\n        \n        Draw samples from a skew-normal distribution.\n\n        Samples are drawn with location `mu`, scale `sigma`, and shape `alpha`. The\n        default parameters are `mu=0.0` and `sigma=1.0`. The returned data type is\n        float64 unless float32 is requested.\n\n        Parameters\n        ---------""-\n        size : int or tuple of int, optional\n            Output shape. Cannot be given together with `out`. If `size` is None, a\n            1-element array is returned.\n        mu : float, default 0.0\n            Location parameter.\n        sigma : float, default 1.0\n            Scale parameter. Must satisfy sigma > 0.\n        alpha : float\n            Shape parameter.\n        out : numpy.ndarray, optional\n            Output array. Must be contiguous, writeable, and of dtype float32 or float64.\n        dtype : numpy.dtype or str, optional\n            float32 or float64. Cannot be given together with `out`.\n\n        Returns\n        -------\n        numpy.ndarray\n            Samples drawn from the skew-normal distribution.\n\n        Notes\n        -----\n        Skew-normal variates use the representation delta*|U| + sqrt(1-delta^2)*Z\n        with U,Z ~ N(0,1) independent, where delta = alpha / sqrt(1 + alpha^2).\n\n        Examples\n        --------\n        >>> import numpy as np, randompack\n        >>> rng = randompack.Rng()\n        >>> rng.skew_normal(5, mu=1, sigma=2, alpha=3)\n        >>> y = rng.skew_normal(size=(3,3), alpha=2.0, dtype=np.float32)\n\n        See Also\n        --------\n        normal\n        \n        Draw samples from a uniform distribution.\n\n        Samples are drawn from the uniform distribution on the interval [a,b]. The\n        default interval is [0,1]. The returned data type is float64 unless float32\n        is requested.\n\n        Parameters\n        ----------\n        size : int or tuple of int, optional\n            Output shape. Cannot be given together with `out`. If `size` is None, a\n            1-element array is returned.\n        a : float, default 0.0\n            Lower bound of the sampling interval.\n        b : float, default 1.0\n            Upper bound of the sampling interval. Must satisfy b > a.\n        out : numpy.ndarray, optional\n            Output array. Must be contiguous, writeable"", and of dtype float32 or float64.\n        dtype : numpy.dtype or str, optional\n            float32 or float64. Cannot be given together with `out`.\n\n        Returns\n        -------\n        numpy.ndarray\n            Samples drawn from the uniform distribution.\n\n        Examples\n        --------\n        >>> import numpy as np, randompack\n        >>> rng = randompack.Rng()\n        >>> rng.seed(42)\n        >>> rng.unif(2)\n        array([0.59733558, 0.53618867])\n        >>> x = np.zeros(2)\n        >>> rng.seed(42)\n        >>> rng.unif(out=x)\n        >>> x\n        array([0.59733558, 0.53618867])\n        >>> y = rng.unif(2, a=2.0, b=5.0)\n        >>> z = rng.unif(size=(3, 3), dtype=np.float32)\n\n        See Also\n        --------\n        normal\n        \n        Draw samples from an F distribution.\n\n        Samples are drawn with `nu1` and `nu2` degrees of freedom. The returned data\n        type is float64 unless float32 is requested.\n\n        Parameters\n        ----------\n        size : int or tuple of int, optional\n            Output shape. Cannot be given together with `out`. If `size` is None, a\n            1-element array is returned.\n        nu1 : float\n            Degrees of freedom for the numerator. Must satisfy nu1 > 0.\n        nu2 : float\n            Degrees of freedom for the denominator. Must satisfy nu2 > 0.\n        out : numpy.ndarray, optional\n            Output array. Must be contiguous, writeable, and of dtype float32 or float64.\n        dtype : numpy.dtype or str, optional\n            float32 or float64. Cannot be given together with `out`.\n\n        Returns\n        -------\n        numpy.ndarray\n            Samples drawn from the F distribution.\n\n        Notes\n        -----\n        F(nu1,nu2) variates are generated as (X1nu2)/(X2nu1) with X1 ~ Gamma(nu1/2,1)\n        and X2 ~ Gamma(nu2/2,1) independent.\n\n        Examples\n        --------\n        >>> import numpy as np, randompack\n        >>> rng = ra""ndompack.Rng()\n        >>> rng.f(5, nu1=5, nu2=7)\n        >>> x = rng.f(5, nu1=5, nu2=7, dtype=np.float32)\n\n        See Also\n        --------\n        chi2\n        t\n        Draw samples from an exponential distribution.\n\n        Samples are drawn with scale parameter `scale` (mean = scale). The default scale\n        is 1.0, giving the standard exponential distribution. The returned data type is\n        float64 unless float32 is requested.\n\n        Parameters\n        ----------\n        size : int or tuple of int, optional\n            Output shape. Cannot be given together with `out`. If `size` is None, a\n            1-element array is returned.\n        scale : float, default 1.0\n            Scale parameter. Must satisfy scale > 0.\n        out : numpy.ndarray, optional\n            Output array. Must be contiguous, writeable, and of dtype float32 or float64.\n        dtype : numpy.dtype or str, optional\n            float32 or float64. Cannot be given together with `out`.\n\n        Returns\n        -------\n        numpy.ndarray\n            Samples drawn from the exponential distribution.\n\n        Notes\n        -----\n        The exponential distribution is generated using the Ziggurat rejection-sampling\n        method of Marsaglia and Tsang, with constants matching the NumPy implementation at\n        the time of writing (2025).\n\n        Examples\n        --------\n        >>> import numpy as np, randompack\n        >>> rng = randompack.Rng()\n        >>> rng.exp(5)\n        >>> x = rng.exp(5, scale=2.0)\n        >>> y = rng.exp(size=(3,3), dtype=np.float32)\n\n        See Also\n        --------\n        unif\n        normal\n        lognormal\n        gamma\n\n        \n        Draw uniform integers.\n\n        If `a` and `b` are provided, samples are drawn from the inclusive range\n        `[a, b]`. If `a` and `b` are omitted, raw integers are returned over the full\n        range of the chosen dtype (int32 or int64).\n\n        Paramet""ers\n        ----------\n        a : int, optional\n            Lower bound (inclusive). Must be given together with `b`.\n        b : int, optional\n            Upper bound (inclusive). Must be given together with `a`.\n        size : int or tuple of int, optional\n            Output shape. Cannot be given together with `out`. If `size` is None, a\n            1-element array is returned.\n        out : numpy.ndarray, optional\n            Output array. Must be contiguous, writeable, and of dtype int32 or int64.\n        dtype : numpy.dtype or str, optional\n            int32 or int64. Cannot be given together with `out`.\n\n        Returns\n        -------\n        numpy.ndarray\n            Integer samples drawn uniformly from the specified range.\n\n        Notes\n        -----\n        Integer samples from a bounded range use Lemire\342\200\231s method for efficient unbiased\n        bounded integer generation.\n\n        Examples\n        --------\n        >>> import numpy as np, randompack\n        >>> rng = randompack.Rng()\n        >>> rng.int(5, a=-2, b=3)\n        array([ 1, -1,  3,  0,  2])\n        >>> x = rng.int(size=(3,3), a=1, b=10, dtype=np.int32)\n\n        See Also\n        --------\n        perm\n        sample\n        raw\n        \n        Duplicate the random number generator, preserving its state.\n\n        Returns\n        -------\n        Rng\n            A new random number generator object with identical state.\n\n        Examples\n        --------\n        >>> import randompack\n        >>> rng1 = randompack.Rng()\n        >>> rng2 = rng1.duplicate()\n        >>> x1 = rng1.normal(3)\n        >>> x2 = rng2.normal(3)\n        >>> (x1 == x2).all()\n        True\n        \n        Generate random bytes.\n\n        Parameters\n        ----------\n        n : int\n            Number of bytes to generate.\n\n        Returns\n        -------\n        bytes\n            Random bytes.\n\n        Examples\n        --------\n        >>> import ra""ndompack\n        >>> rng = randompack.Rng()\n        >>> rng.raw(4)\n\n        See Also\n        --------\n        int\n        perm\n        sample\n        \n    List available random number generator engines.\n\n    Returns\n    -------\n    dict\n        A dictionary-like object mapping engine names to short descriptions. When\n        printed, it is displayed as a simple two-column table.\n    \n    Examples\n    --------\n    >>> import randompack\n    >>> randompack.engines()\n    x256++simd  xorshift256++, with SIMD accelaration (4x64)\n    x256++      xoshiro256++, Vigna & Blackman, 2019 (4x64)\n    x256**      xoshiro256**, Vigna & Blackman, 2019 (4x64)\n    xoro++      xoroshiro128++, Vigna & Blackman, 2016 (2x64)\n    x128+       xorshift128+, Vigna, 2014 (2x64)\n    pcg64       PCG64-DXSM, O'Neill, 2014 (4x64)\n    sfc64       sfc64, Chris Doty-Humphrey, 2013 (4x64)\n    cwg128      cwg128-64, Dzia\305\202a, 2022 (5x64)\n    philox      Philox-4x64, Salmon & Moraes, 2011 (6x64)\n    squares     squares64, Widynski, 2021 (2x64)\n    chacha20    ChaCha20, Bernstein, 2008 (6x64)\n    system      Operating system entropy source\n    RNG pointer is NULL\n        Randomize the random number generator using system entropy.\n\n        Returns\n        -------\n        None\n\n        Examples\n        --------\n        >>> import randompack\n        >>> rng = randompack.Rng()  # randomized by default\n        >>> rng.seed(123)           # deterministic\n        >>> rng.normal(3)\n        >>> rng.randomize()         # discard deterministic state\n        >>> rng.normal(3)        \n\n        See Also\n        --------\n        seed\n        set_state\n        Rng.beta (line 892)Rng.chi2 (line 951)Rng.duplicate (line 317)Rng.exp (line 710)Rng.f (line 1062)Rng.full_mantissa (line 254)Rng.gamma (line 830)Rng.gumbel (line 1121)Rng.int (line 1471)Rng.lognormal (line 770)Rng.mvn (line 1364)Rng.normal (line 639)Rng.pareto (line 1182)Rng.perm (line 1563)Rng.philox_set_s""tate (line 437)Rng.randomize (line 226)Rng.raw (line 1694)Rng.sample (line 1629)Rng.seed (line 164)Rng.skew_normal (line 1300)Rng.t (line 1006)Rng.unif (line 577)Rng.vector_logexp (line 286)Rng.weibull (line 1241)\n        Sample without replacement from 1..n.\n\n        Parameters\n        ----------\n        n : int\n            Upper bound of the sampling range (inclusive).\n        k : int\n            Number of samples to draw.\n        out : numpy.ndarray, optional\n            Output array. Must be contiguous, writeable, and of dtype int32.\n\n        Returns\n        -------\n        numpy.ndarray\n            Length-`k` sample from 1..n as int32 values.\n\n        Notes\n        -----\n        Floyd\342\200\231s algorithm is used for smaller samples (k <= n/2) and reservoir sampling\n        otherwise.\n\n        Examples\n        --------\n        >>> import randompack\n        >>> rng = randompack.Rng()\n        >>> rng.sample(10, 3)\n\n        See Also\n        --------\n        int\n        perm\n        raw\n        \n        Seed the random number generator deterministically.\n\n        Parameters\n        ----------\n        seed : int\n            Integer seed in the range [-2^31, 2^31-1].\n        spawn_key : sequence of int, optional\n            Optional sequence of integers (e.g., list or tuple) used together with `seed`\n            to derive an independent deterministic substream. Each entry must lie in [0,\n            2^32-1].\n        Examples\n        --------\n        >>> import numpy as np, randompack, threading\n        >>> rng = randompack.Rng()\n        >>> rng.seed(123)\n        >>> rng.unif(2)\n        array([0.31641448, 0.0484203 ])\n\n        >>> results = [None, None]\n        >>> def worker(i):\n        ...     rng = randompack.Rng()\n        ...     rng.seed(123, spawn_key=[i])\n        ...     results[i] = rng.normal(1000)\n        >>> t0 = threading.Thread(target=worker, args=(0,))\n        >>> t1 = threading.Thread(target=wo""rker, args=(1,))\n        >>> t0.start()\n        >>> t1.start()\n        >>> t0.join()\n        >>> t1.join()\n        >>> X = np.array(results)\n        >>> X.shape\n        (2, 1000)\n\n        Returns\n        -------\n        None\n\n        See Also\n        --------\n        randomize\n        set_state\n        \n        Set the internal counter and key of an RNG instance using the \"philox\" engine.\n\n        Parameters\n        ----------\n        ctr : sequence of int\n            Sequence of 4 integers forming the counter, with entries in [0, 2^64-1].\n        key : sequence of int\n            Sequence of 2 integers forming the key, with entries in [0, 2^64-1].\n\n        Returns\n        -------\n        None\n\n        Examples\n        --------\n        >>> import randompack\n        >>> rng = randompack.Rng(engine=\"philox\")\n        >>> rng.philox_set_state([0, 0, 0, 0], [1, 2])\n        >>> rng.normal(3)\n\n        See Also\n        --------\n        squares_set_state\n        pcg64_set_state\n        set_state\n        Sigma must be a square 2D arraySigma must be provided\n        Toggle full mantissa generation for Float64 and Float32 draws.\n\n        When enabled, Float64 draws use 53 bits of precision and Float32 draws use 24\n        bits; otherwise 52 and 23 bits are used. The factory default is disabled. Enabling\n        full mantissas slightly slows down the generator.\n\n        Parameters\n        ----------\n        enable : bool\n            True to enable full mantissas, False to disable.\n\n        Returns\n        -------\n        None\n\n        Examples\n        --------\n        >>> import randompack\n        >>> rng = randompack.Rng()\n        >>> rng.full_mantissa()       # turn full mantissa on\n        >>> rng.full_mantissa(False)  # turn it off again\n        \n        Toggle vectorized log/exp implementations when available.\n\n        The factory default is disabled. Enabling this may speed up some\n        distributio""ns that rely on log or exp.\n\n        Parameters\n        ----------\n        enable : bool\n            True to enable vectorized log/exp, False to disable.\n\n        Returns\n        -------\n        None\n\n        Examples\n        --------\n        >>> import randompack\n        >>> rng = randompack.Rng()\n        >>> rng.vector_logexp()       # faster sampling with vectorized logs and exps\n        >>> rng.vector_logexp(False)  # turn it off again\n        <  \n?a and b must be given togethera out of range for int32a out of range for int64b out of range for int32b out of range for int64cannot pass both out and dtypecannot pass both out and sizectr entries must be in [0, 2^64-1]ctr must be in [0, 2^64-1]ctr must have length 4disabledtype must be float32 or float64dtype must be int32 or int64enableengine must be a stringengines (line 1748)gcinc must be in [0, 2^128-1]isenabledkey entries must be in [0, 2^64-1]key must be in [0, 2^64-1]key must have length 2mu must have length dn and k must be nonnegativen must be nonnegativeno default __reduce__ due to non-trivial __cinit__numpy._core.multiarray failed to importnumpy._core.umath failed to importout has wrong lengthout must be 1Dout must be a 2D arrayout must be a numpy arrayout must be contiguousout must be float32 or float64out must be float64out must be int32out must be int32 or int64out must be writableout shape does not match Sigmarandompack/_core.pyxrandompack_create failedrandompack_engines failedrandompack_engines returned invalid sizesrandompack errorrequire a <= brequire k <= nseed out of range for int32size must be None when out is providedsize must be an integersize must be nonnegativespawn_key entries must be in [0, 2^32-1]state entries must be in [0, 2^64-1]state must be a 1D arraystate must be bytesstate must be in [0, 2^128-1]state too long<stringsource>utf-8C_CONTIGUOUS_EngineInfo_EngineInfo.__repr___EngineInfo.__repr__.<locals>.genexpr__Pyx_PyDict_NextRefRngRng.__reduce_cython__Rng.__setstate_""cython__Rng.betaRng.chi2Rng.deserializeRng.duplicateRng.expRng.fRng.full_mantissaRng.gammaRng.gumbelRng.intRng.lognormalRng.mvnRng.normalRng.paretoRng.pcg64_set_stateRng.permRng.philox_set_stateRng.randomizeRng.rawRng.sampleRng.seedRng.serializeRng.set_stateRng.skew_normalRng.squares_set_stateRng.tRng.unifRng.vector_logexpRng.weibullSig_arrSig_ptrSigmaU128_MAXU32_MAXU64_MAXWRITEABLEX_ptraa32a64a_da_ialphaalpha_darrasarrayascontiguousarrayasyncio.coroutinesbb32b64b_db_ibetabeta_dbufcchi2cline_in_tracebackclosectrctr_ictr_vddecodedescdesc_bufdesc_maxdesc_ptrdeserialize__doc__dtypedupduplicateeemptyenableencodeeng_bufeng_maxeng_ptrengineenginesexpfflagsfloat32float64full_mantissa__func__gammagenexpr__getstate__gumbeliic_iincintint32int64_is_coroutineis_f64is_i64itemskk_ikeykey_ikey_vldXlineslognormal__main__maskmaxmax_u128__metaclass____module____mro_entries__mumu_arrmu_dmu_ptrmvnnn_elemn_i__name__namenbytesnextnormalnpnstatenunu1nu1_dnu2nu2_dnu_dnumpyobjokoutparetopcg64_set_statepermphilox_set_statepop__prepare__ptr__pyx_state__qualname__randomizerandompack._coreraw__reduce____reduce_cython____reduce_ex__replace__repr__ssamplescalescale_dseedselfsendserialize__set_name__set_statesetdefault__setstate____setstate_cython__shapeshape_dsigmasigma_dsizeskew_normalspawn_keysplitsquares_set_statestst_istatet__test__throwtranspuint32uint64unifvvalvalsvals_ctrvals_keyvaluevaluesvector_logexpweibullwidthxmxm_d\000\320\004#\2401\3602\000\t\014\2104\210u\220C\220q\330\014\022\220,\230a\230q\330\010\r\320\r%\240Q\240d\250&\260\004\260A\260Q\330\010\013\2104\210q\330\014\035\230Q\230d\240!\320\004#\2401\3604\000\t\014\2104\210u\220C\220q\330\014\022\220,\230a\230q\330\010\r\320\r%\240Q\240d\250&\260\004\260A\260Q\330\010\013\2104\210q\330\014\035\230Q\230d\240!\320\004#\2401\360Z\001\000\t\014\2104\210u\220C\220q\330\014\022\220,\230a\230q\330\010\014\210C\210q\220\001\330\010\013\2102\210R\210x\220s\230\"\230B\230a\330\014\022\220*\230A\230Q\330\010\013\210:\220S\230\001\330\014""\017\210t\220?\240!\2403\240l\260&\270\003\2704\270q\330\020!\240\021\240$\240a\330\014\r\330\010\017\210q\220\003\2201\220C\220t\2305\240\001\330\010\014\210E\220\021\330\014\017\210r\220\022\2202\220S\230\002\230\"\230A\330\020\026\220j\240\001\240\021\330\010\016\210b\220\010\230\001\230\026\230v\240R\240q\330\010\013\2104\210\177\230a\230s\240,\250c\260\027\270\003\2707\300$\300a\330\014\035\230Q\230d\240!\320\004\033\320\0331\260\031\270,\300a\360T\001\000\t\037\230a\330\010\036\230a\360\010\000\t\017\210o\230Q\230d\240&\250\005\250W\260F\270!\2705\300\001\300\030\310\021\310!\330\r\016\330\014\017\210q\330\020\025\320\025'\240q\250\n\260%\260x\270y\310\001\330(,\250A\340\020\025\320\025(\250\001\250\031\260%\260x\270w\300a\330)0\260\t\270\024\270Q\330\010\013\2104\210q\330\014\035\230Q\230d\240!\330\010\017\210q\320\004\032\320\0322\260,\270a\360T\001\000\t\034\2301\330\010\036\230a\360\010\000\t\017\210o\230Q\230d\240&\250\005\250W\260F\270!\2705\300\001\300\030\310\021\310!\330\r\016\330\014\017\210q\330\020\025\320\025&\240a\240z\260\025\260h\270f\300A\330'+\2501\340\020\025\320\025'\240q\250\t\260\025\260h\270g\300Q\330(/\250y\270\004\270A\330\010\013\2104\210q\330\014\035\230Q\230d\240!\330\010\017\210q\320\004\037\230|\250;\3206F\300l\320RS\360Z\001\000\t\034\2301\330\010\036\230a\330\010\036\230a\360\010\000\t\017\210o\230Q\230d\240&\250\005\250W\260F\270!\2705\300\001\300\030\310\021\310!\330\r\016\330\014\017\210q\330\020\025\320\025+\2501\250J\260e\2708\3006\310\021\330,5\260T\270\021\340\020\025\320\025,\250A\250Y\260e\2708\3007\310!\330-4\260I\270W\300A\330-1\260\021\330\010\013\2104\210q\330\014\035\230Q\230d\240!\330\010\017\210q\320\004\030\230\013\2407\250)\260<\270q\360\\\001\000\t\033\230!\330\010\032\230!\360\010\000\t\017\210o\230Q\230d\240&\250\005\250W\260F\270!\2705\300\001\300\030\310\021\310!\330\r\016\330\014\017\210q\330\020\025\220_\240A\240Z\250u\260H\270E\300\025\300d\310!\340\020\025\320\025%\240Q\240i\250u\260H\270G\3001\330&-""\250U\260$\260a\330\010\013\2104\210q\330\014\035\230Q\230d\240!\330\010\017\210q\200\001\3608\000\005\022\220\021\330\004\027\220q\330\004\030\230\001\360\014\000\005\010\200t\320\013\035\230Q\230f\240F\250!\2503\250a\250y\270\001\270\021\330\010\016\210l\230!\2301\330\004\007\200r\210\022\2102\210S\220\010\230\003\2302\230S\240\t\250\023\250A\330\010\016\210l\230!\2301\330\004\016\210i\220q\230\002\230\"\230A\330\004\017\210y\230\001\230\022\2302\230Q\330\004\016\210h\320\026*\250!\2501\330\004\017\210x\320\027+\2501\250A\330\004\007\200t\320\013\035\230Q\230i\240z\260\021\260#\260Q\260i\270q\300\001\330\010\016\210l\230!\2301\330\004\n\210+\220Q\330\004\010\210\005\210U\220!\2201\330\010\014\210E\220\021\220'\230\021\230!\2301\230I\240R\240r\250\022\2501\250I\260V\2701\270G\3002\300Q\300a\330\010\014\210E\220\021\220(\230!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    PyObject *data = NULL;
    CYTHON_UNUSED_VAR(__Pyx_DecompressString);
    #endif
    PyObject **stringtab = __pyx_mstate->__pyx_string_tab;
    Py_ssize_t pos = 0;
    for (int i = 0; i < 328; i++) {
      Py_ssize_t bytes_length = index[i].length;
      PyObject *string = PyUnicode_DecodeUTF8(bytes + pos, bytes_length, NULL);
      if (likely(string) && i >= 115) PyUnicode_InternInPlace(&string);
      if (unlikely(!string)) {
        Py_XDECREF(data);
        __PYX_ERR(0, 1, __pyx_L1_error)
      }
      stringtab[i] = string;
      pos += bytes_length;
    }
    for (int i = 328; i < 363; i++) {
      Py_ssize_t bytes_length = index[i].length;
      PyObject *string = PyBytes_FromStringAndSize(bytes + pos, bytes_length);
      stringtab[i] = string;
      pos += bytes_length;
      if (unlikely(!string)) {
        Py_XDECREF(data);
        __PYX_ERR(0, 1, __pyx_L1_error)
      }
    }
    Py_XDECREF(data);
    for (Py_ssize_t i = 0; i < 363; i++) {
      if (unlikely(PyObject_Hash(stringtab[i]) == -1)) {
        __PYX_ERR(0, 1, __pyx_L1_error)
      }
    }
    #if CYTHON_IMMORTAL_CONSTANTS
    {
      PyObject **table = stringtab + 328;
      for (Py_ssize_t i=0; i<35; ++i) {
        #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
        #if PY_VERSION_HEX < 0x030E0000
        if (_Py_IsOwnedByCurrentThread(table[i]) && Py_REFCNT(table[i]) == 1)
        #else
        if (PyUnstable_Object_IsUniquelyReferenced(table[i]))
        #endif
        {
          Py_SET_REFCNT(table[i], _Py_IMMORTAL_REFCNT_LOCAL);
        }
        #else
        Py_SET_REFCNT(table[i], _Py_IMMORTAL_INITIAL_REFCNT);
        #endif
      }
    }
    #endif
  }
  {
    PyObject **numbertab = __pyx_mstate->__pyx_number_tab;
    double const c_constants[] = {0.0,1.0};
    for (int i = 0; i < 2; i++) {
      numbertab[i] = PyFloat_FromDouble(c_constants[i]);
      if (unlikely(!numbertab[i])) __PYX_ERR(0, 1, __pyx_L1_error)
    }
  }
  {
    PyObject **numbertab = __pyx_mstate->__pyx_number_tab + 2;
    int8_t const cint_constants_1[] = {0,1,64};
    int64_t const cint_constants_8[] = {4294967295LL};
    for (int i = 0; i < 4; i++) {
      numbertab[i] = PyLong_FromLongLong((i < 3 ? cint_constants_1[i - 0] : cint_constants_8[i - 3]));
      if (unlikely(!numbertab[i])) __PYX_ERR(0, 1, __pyx_L1_error)
    }
  }
  {
    PyObject **numbertab = __pyx_mstate->__pyx_number_tab + 6;
    const char* c_constant = "fvvvvvvvvvvvv\0007vvvvvvvvvvvvvvvvvvvvvvvvv";
    for (int i = 0; i < 2; i++) {
      char *end_pos;
      numbertab[i] = PyLong_FromString(c_constant, &end_pos, 32);
      if (unlikely(!numbertab[i])) __PYX_ERR(0, 1, __pyx_L1_error)
      c_constant = end_pos + 1;
    }
  }
  #if CYTHON_IMMORTAL_CONSTANTS
  {
    PyObject **table = __pyx_mstate->__pyx_number_tab;
    for (Py_ssize_t i=0; i<8; ++i) {
      #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
      #if PY_VERSION_HEX < 0x030E0000
      if (_Py_IsOwnedByCurrentThread(table[i]) && Py_REFCNT(table[i]) == 1)
      #else
      if (PyUnstable_Object_IsUniquelyReferenced(table[i]))
      #endif
      {
        Py_SET_REFCNT(table[i], _Py_IMMORTAL_REFCNT_LOCAL);
      }
      #else
      Py_SET_REFCNT(table[i], _Py_IMMORTAL_INITIAL_REFCNT);
      #endif
    }
  }
  #endif
  return 0;
  __pyx_L1_error:;
  return -1;
}
/* #### Code section: init_codeobjects ### */
typedef struct {
    unsigned int argcount : 3;
    unsigned int num_posonly_args : 1;
    unsigned int num_kwonly_args : 3;
    unsigned int nlocals : 5;
    unsigned int flags : 10;
    unsigned int first_line : 11;
} __Pyx_PyCode_New_function_description;
/* NewCodeObj.proto */
static PyObject* __Pyx_PyCode_New(
        const __Pyx_PyCode_New_function_description descr,
        PyObject * const *varnames,
        PyObject *filename,
        PyObject *funcname,
        PyObject *line_table,
        PyObject *tuple_dedup_map
);


static int __Pyx_CreateCodeObjects(__pyx_mstatetype *__pyx_mstate) {
  PyObject* tuple_dedup_map = PyDict_New();
  if (unlikely(!tuple_dedup_map)) return -1;
  {
    const __Pyx_PyCode_New_function_description descr = {0, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS|CO_GENERATOR), 1742};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_name_2};
    __pyx_mstate_global->__pyx_codeobj_tab[0] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_randompack__core_pyx, __pyx_mstate->__pyx_n_u_genexpr, __pyx_mstate->__pyx_kp_b_iso88591_q, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[0])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 8, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 164};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_seed, __pyx_mstate->__pyx_n_u_spawn_key, __pyx_mstate->__pyx_n_u_arr, __pyx_mstate->__pyx_n_u_s, __pyx_mstate->__pyx_n_u_vals, __pyx_mstate->__pyx_n_u_v, __pyx_mstate->__pyx_n_u_v};
    __pyx_mstate_global->__pyx_codeobj_tab[1] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_randompack__core_pyx, __pyx_mstate->__pyx_n_u_seed, __pyx_mstate->__pyx_kp_b_iso88591_1Z_4uCq_aq_Cq_2Rxs_Ba_AQ_S_t_3l, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[1])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 226};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self};
    __pyx_mstate_global->__pyx_codeobj_tab[2] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_randompack__core_pyx, __pyx_mstate->__pyx_n_u_randomize, __pyx_mstate->__pyx_kp_b_iso88591_A_4uCq_aq_4_1D_Qd, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[2])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 3, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 254};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_enable, __pyx_mstate->__pyx_n_u_ok};
    __pyx_mstate_global->__pyx_codeobj_tab[3] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_randompack__core_pyx, __pyx_mstate->__pyx_n_u_full_mantissa, __pyx_mstate->__pyx_kp_b_iso88591_14_4uCq_aq_Qd_AQ_4q_Qd, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[3])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 3, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 286};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_enable, __pyx_mstate->__pyx_n_u_ok};
    __pyx_mstate_global->__pyx_codeobj_tab[4] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_randompack__core_pyx, __pyx_mstate->__pyx_n_u_vector_logexp, __pyx_mstate->__pyx_kp_b_iso88591_12_4uCq_aq_Qd_AQ_4q_Qd, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[4])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 3, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 317};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_dup, __pyx_mstate->__pyx_n_u_obj};
    __pyx_mstate_global->__pyx_codeobj_tab[5] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_randompack__core_pyx, __pyx_mstate->__pyx_n_u_duplicate, __pyx_mstate->__pyx_kp_b_iso88591_A_4uCq_aq_4q_4s_Qd_c_7_q, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[5])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 4, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 348};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_n, __pyx_mstate->__pyx_n_u_buf, __pyx_mstate->__pyx_n_u_ptr};
    __pyx_mstate_global->__pyx_codeobj_tab[6] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_randompack__core_pyx, __pyx_mstate->__pyx_n_u_serialize, __pyx_mstate->__pyx_kp_b_iso88591_A_Q_4uCq_aq_4_1KvQc_Q_Qd_2S_Qd_i, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[6])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 4, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 373};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_state, __pyx_mstate->__pyx_n_u_ptr, __pyx_mstate->__pyx_n_u_n};
    __pyx_mstate_global->__pyx_codeobj_tab[7] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_randompack__core_pyx, __pyx_mstate->__pyx_n_u_deserialize, __pyx_mstate->__pyx_kp_b_iso88591_A_4uCq_aq_4z_1A_AQ_0_4_Qe5_4q_Qd, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[7])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 7, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 398};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_ctr, __pyx_mstate->__pyx_n_u_key, __pyx_mstate->__pyx_n_u_ctr_v, __pyx_mstate->__pyx_n_u_key_v, __pyx_mstate->__pyx_n_u_ctr_i, __pyx_mstate->__pyx_n_u_key_i};
    __pyx_mstate_global->__pyx_codeobj_tab[8] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_randompack__core_pyx, __pyx_mstate->__pyx_n_u_squares_set_state, __pyx_mstate->__pyx_kp_b_iso88591_A4_4uCq_aq_1A_1A_6_2S_b_AQ_6_2S, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[8])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 11, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 437};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_ctr, __pyx_mstate->__pyx_n_u_key, __pyx_mstate->__pyx_n_u_c, __pyx_mstate->__pyx_n_u_k, __pyx_mstate->__pyx_n_u_i, __pyx_mstate->__pyx_n_u_val, __pyx_mstate->__pyx_n_u_vals_ctr, __pyx_mstate->__pyx_n_u_vals_key, __pyx_mstate->__pyx_n_u_v, __pyx_mstate->__pyx_n_u_v};
    __pyx_mstate_global->__pyx_codeobj_tab[9] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_randompack__core_pyx, __pyx_mstate->__pyx_n_u_philox_set_state, __pyx_mstate->__pyx_kp_b_iso88591_A_4uCq_aq_1Cq_4uA_1Cq_4uA_3az_A, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[9])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 8, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 490};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_state, __pyx_mstate->__pyx_n_u_inc, __pyx_mstate->__pyx_n_u_st, __pyx_mstate->__pyx_n_u_st_i, __pyx_mstate->__pyx_n_u_ic_i, __pyx_mstate->__pyx_n_u_mask, __pyx_mstate->__pyx_n_u_max_u128};
    __pyx_mstate_global->__pyx_codeobj_tab[10] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_randompack__core_pyx, __pyx_mstate->__pyx_n_u_pcg64_set_state, __pyx_mstate->__pyx_kp_b_iso88591_A6_4uCq_aq_s_1_s_1_q_1_5_CuBa_AQ, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[10])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 8, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 534};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_state, __pyx_mstate->__pyx_n_u_vals, __pyx_mstate->__pyx_n_u_arr, __pyx_mstate->__pyx_n_u_nstate, __pyx_mstate->__pyx_n_u_i, __pyx_mstate->__pyx_n_u_v, __pyx_mstate->__pyx_n_u_v};
    __pyx_mstate_global->__pyx_codeobj_tab[11] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_randompack__core_pyx, __pyx_mstate->__pyx_n_u_set_state, __pyx_mstate->__pyx_kp_b_iso88591_A4_4uCq_aq_q_1Ct5_E_as_1_AQ_r_2S, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[11])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 4, 13, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 577};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_size, __pyx_mstate->__pyx_n_u_a, __pyx_mstate->__pyx_n_u_b, __pyx_mstate->__pyx_n_u_out, __pyx_mstate->__pyx_n_u_dtype, __pyx_mstate->__pyx_n_u_a_d, __pyx_mstate->__pyx_n_u_b_d, __pyx_mstate->__pyx_n_u_n_elem, __pyx_mstate->__pyx_n_u_ptr, __pyx_mstate->__pyx_n_u_ok, __pyx_mstate->__pyx_n_u_is_f64, __pyx_mstate->__pyx_n_u_arr};
    __pyx_mstate_global->__pyx_codeobj_tab[12] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_randompack__core_pyx, __pyx_mstate->__pyx_n_u_unif, __pyx_mstate->__pyx_kp_b_iso88591_7_q_oQd_WF_5_q__AZuHE_d_QiuHG1, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[12])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 4, 13, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 639};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_size, __pyx_mstate->__pyx_n_u_mu, __pyx_mstate->__pyx_n_u_sigma, __pyx_mstate->__pyx_n_u_out, __pyx_mstate->__pyx_n_u_dtype, __pyx_mstate->__pyx_n_u_mu_d, __pyx_mstate->__pyx_n_u_sigma_d, __pyx_mstate->__pyx_n_u_n_elem, __pyx_mstate->__pyx_n_u_ptr, __pyx_mstate->__pyx_n_u_ok, __pyx_mstate->__pyx_n_u_is_f64, __pyx_mstate->__pyx_n_u_arr};
    __pyx_mstate_global->__pyx_codeobj_tab[13] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_randompack__core_pyx, __pyx_mstate->__pyx_n_u_normal, __pyx_mstate->__pyx_kp_b_iso88591_k_al_1_a_oQd_WF_5_q_az_hfA_1_q, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[13])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 3, 11, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 710};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_size, __pyx_mstate->__pyx_n_u_scale, __pyx_mstate->__pyx_n_u_out, __pyx_mstate->__pyx_n_u_dtype, __pyx_mstate->__pyx_n_u_scale_d, __pyx_mstate->__pyx_n_u_n_elem, __pyx_mstate->__pyx_n_u_ptr, __pyx_mstate->__pyx_n_u_ok, __pyx_mstate->__pyx_n_u_is_f64, __pyx_mstate->__pyx_n_u_arr};
    __pyx_mstate_global->__pyx_codeobj_tab[14] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_randompack__core_pyx, __pyx_mstate->__pyx_n_u_exp, __pyx_mstate->__pyx_kp_b_iso88591_i_1_a_oQd_WF_5_q_1Je89D__AYe87, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[14])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 4, 13, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 770};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_size, __pyx_mstate->__pyx_n_u_mu, __pyx_mstate->__pyx_n_u_sigma, __pyx_mstate->__pyx_n_u_out, __pyx_mstate->__pyx_n_u_dtype, __pyx_mstate->__pyx_n_u_mu_d, __pyx_mstate->__pyx_n_u_sigma_d, __pyx_mstate->__pyx_n_u_n_elem, __pyx_mstate->__pyx_n_u_ptr, __pyx_mstate->__pyx_n_u_ok, __pyx_mstate->__pyx_n_u_is_f64, __pyx_mstate->__pyx_n_u_arr};
    __pyx_mstate_global->__pyx_codeobj_tab[15] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_randompack__core_pyx, __pyx_mstate->__pyx_n_u_lognormal, __pyx_mstate->__pyx_kp_b_iso88591_I_V_1_a_oQd_WF_5_q_E_q_a_9E_2_4, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[15])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 4, 13, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 830};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_size, __pyx_mstate->__pyx_n_u_shape, __pyx_mstate->__pyx_n_u_scale, __pyx_mstate->__pyx_n_u_out, __pyx_mstate->__pyx_n_u_dtype, __pyx_mstate->__pyx_n_u_shape_d, __pyx_mstate->__pyx_n_u_scale_d, __pyx_mstate->__pyx_n_u_n_elem, __pyx_mstate->__pyx_n_u_ptr, __pyx_mstate->__pyx_n_u_ok, __pyx_mstate->__pyx_n_u_is_f64, __pyx_mstate->__pyx_n_u_arr};
    __pyx_mstate_global->__pyx_codeobj_tab[16] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_randompack__core_pyx, __pyx_mstate->__pyx_n_u_gamma, __pyx_mstate->__pyx_kp_b_iso88591_y_AZ_a_a_oQd_WF_5_q_Qj_XYa_ay_X, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[16])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 4, 13, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 892};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_size, __pyx_mstate->__pyx_n_u_a, __pyx_mstate->__pyx_n_u_b, __pyx_mstate->__pyx_n_u_out, __pyx_mstate->__pyx_n_u_dtype, __pyx_mstate->__pyx_n_u_a_d, __pyx_mstate->__pyx_n_u_b_d, __pyx_mstate->__pyx_n_u_n_elem, __pyx_mstate->__pyx_n_u_ptr, __pyx_mstate->__pyx_n_u_ok, __pyx_mstate->__pyx_n_u_is_f64, __pyx_mstate->__pyx_n_u_arr};
    __pyx_mstate_global->__pyx_codeobj_tab[17] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_randompack__core_pyx, __pyx_mstate->__pyx_n_u_beta, __pyx_mstate->__pyx_kp_b_iso88591_qV_oQd_WF_5_q__AZuHE_d_QiuHG1_U, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[17])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 3, 11, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 951};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_size, __pyx_mstate->__pyx_n_u_nu, __pyx_mstate->__pyx_n_u_out, __pyx_mstate->__pyx_n_u_dtype, __pyx_mstate->__pyx_n_u_nu_d, __pyx_mstate->__pyx_n_u_n_elem, __pyx_mstate->__pyx_n_u_ptr, __pyx_mstate->__pyx_n_u_ok, __pyx_mstate->__pyx_n_u_is_f64, __pyx_mstate->__pyx_n_u_arr};
    __pyx_mstate_global->__pyx_codeobj_tab[18] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_randompack__core_pyx, __pyx_mstate->__pyx_n_u_chi2, __pyx_mstate->__pyx_kp_b_iso88591_QR_1_oQd_WF_5_q__AZuHF_a_QiuHG6, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[18])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 3, 11, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1006};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_size, __pyx_mstate->__pyx_n_u_nu, __pyx_mstate->__pyx_n_u_out, __pyx_mstate->__pyx_n_u_dtype, __pyx_mstate->__pyx_n_u_nu_d, __pyx_mstate->__pyx_n_u_n_elem, __pyx_mstate->__pyx_n_u_ptr, __pyx_mstate->__pyx_n_u_ok, __pyx_mstate->__pyx_n_u_is_f64, __pyx_mstate->__pyx_n_u_arr};
    __pyx_mstate_global->__pyx_codeobj_tab[19] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_randompack__core_pyx, __pyx_mstate->__pyx_n_u_t, __pyx_mstate->__pyx_kp_b_iso88591_l_T_1_oQd_WF_5_q_E_t1_9E_d_4q_Q, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[19])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 4, 13, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1062};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_size, __pyx_mstate->__pyx_n_u_nu1, __pyx_mstate->__pyx_n_u_nu2, __pyx_mstate->__pyx_n_u_out, __pyx_mstate->__pyx_n_u_dtype, __pyx_mstate->__pyx_n_u_nu1_d, __pyx_mstate->__pyx_n_u_nu2_d, __pyx_mstate->__pyx_n_u_n_elem, __pyx_mstate->__pyx_n_u_ptr, __pyx_mstate->__pyx_n_u_ok, __pyx_mstate->__pyx_n_u_is_f64, __pyx_mstate->__pyx_n_u_arr};
    __pyx_mstate_global->__pyx_codeobj_tab[20] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_randompack__core_pyx, __pyx_mstate->__pyx_n_u_f, __pyx_mstate->__pyx_kp_b_iso88591_L_V_A_A_oQd_WF_5_q_E_t1_9E_Q_4q, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[20])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 4, 13, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1121};
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  {
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  {
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    const __Pyx_PyCode_New_function_description descr = {2, 0, 1, 6, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1563};
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  {
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#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 >= 0x030C0000
    local_value = tstate->current_exception;
    tstate->current_exception = 0;
  #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
#elif __PYX_LIMITED_VERSION_HEX > 0x030C0000
    local_value = PyErr_GetRaisedException();
#else
    PyErr_Fetch(&local_type, &local_value, &local_tb);
#endif
#if __PYX_LIMITED_VERSION_HEX > 0x030C0000
    if (likely(local_value)) {
        local_type = (PyObject*) Py_TYPE(local_value);
        Py_INCREF(local_type);
        local_tb = PyException_GetTraceback(local_value);
    }
#else
    PyErr_NormalizeException(&local_type, &local_value, &local_tb);
#if CYTHON_FAST_THREAD_STATE
    if (unlikely(tstate->curexc_type))
#else
    if (unlikely(PyErr_Occurred()))
#endif
        goto bad;
    if (local_tb) {
        if (unlikely(PyException_SetTraceback(local_value, local_tb) < 0))
            goto bad;
    }
#endif // __PYX_LIMITED_VERSION_HEX > 0x030C0000
    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);
#elif __PYX_LIMITED_VERSION_HEX >= 0x030b0000
    PyErr_SetHandledException(local_value);
    Py_XDECREF(local_value);
    Py_XDECREF(local_type);
    Py_XDECREF(local_tb);
#else
    PyErr_SetExcInfo(local_type, local_value, local_tb);
#endif
    return 0;
#if __PYX_LIMITED_VERSION_HEX <= 0x030C0000
bad:
    *type = 0;
    *value = 0;
    *tb = 0;
    Py_XDECREF(local_type);
    Py_XDECREF(local_value);
    Py_XDECREF(local_tb);
    return -1;
#endif
}

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

/* PyObjectCallMethO (used by PyObjectFastCall) */
#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 (unlikely(Py_EnterRecursiveCall(" while calling a Python object")))
        return NULL;
    result = cfunc(self, arg);
    Py_LeaveRecursiveCall();
    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
        PyErr_SetString(
            PyExc_SystemError,
            "NULL result without error in PyObject_Call");
    }
    return result;
}
#endif

/* PyObjectFastCall */
#if PY_VERSION_HEX < 0x03090000 || CYTHON_COMPILING_IN_LIMITED_API
static PyObject* __Pyx_PyObject_FastCall_fallback(PyObject *func, PyObject * const*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
#if CYTHON_VECTORCALL && !CYTHON_COMPILING_IN_LIMITED_API
  #if PY_VERSION_HEX < 0x03090000
    #define __Pyx_PyVectorcall_Function(callable) _PyVectorcall_Function(callable)
  #elif CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE vectorcallfunc __Pyx_PyVectorcall_Function(PyObject *callable) {
    PyTypeObject *tp = Py_TYPE(callable);
    #if defined(__Pyx_CyFunction_USED)
    if (__Pyx_CyFunction_CheckExact(callable)) {
        return __Pyx_CyFunction_func_vectorcall(callable);
    }
    #endif
    if (!PyType_HasFeature(tp, Py_TPFLAGS_HAVE_VECTORCALL)) {
        return NULL;
    }
    assert(PyCallable_Check(callable));
    Py_ssize_t offset = tp->tp_vectorcall_offset;
    assert(offset > 0);
    vectorcallfunc ptr;
    memcpy(&ptr, (char *) callable + offset, sizeof(ptr));
    return ptr;
}
  #else
    #define __Pyx_PyVectorcall_Function(callable) PyVectorcall_Function(callable)
  #endif
#endif
static CYTHON_INLINE PyObject* __Pyx_PyObject_FastCallDict(PyObject *func, PyObject *const *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 (kwargs == NULL) {
        #if CYTHON_VECTORCALL
          #if CYTHON_COMPILING_IN_LIMITED_API
            return PyObject_Vectorcall(func, args, _nargs, NULL);
          #else
            vectorcallfunc f = __Pyx_PyVectorcall_Function(func);
            if (f) {
                return f(func, args, _nargs, NULL);
            }
          #endif
        #endif
    }
    if (nargs == 0) {
        return __Pyx_PyObject_Call(func, __pyx_mstate_global->__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
}

/* RaiseException */
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;
}

/* decode_c_bytes (used by decode_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_mstate_global->__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);
    }
}

/* DictGetItem */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject *__Pyx_PyDict_GetItem(PyObject *d, PyObject* key) {
    PyObject *value;
    if (unlikely(__Pyx_PyDict_GetItemRef(d, key, &value) == 0)) { // no value, no error
        if (unlikely(PyTuple_Check(key))) {
            PyObject* args = PyTuple_Pack(1, key);
            if (likely(args)) {
                PyErr_SetObject(PyExc_KeyError, args);
                Py_DECREF(args);
            }
        } else {
            PyErr_SetObject(PyExc_KeyError, key);
        }
    }
    return value;
}
#endif

/* PyDictVersioning (used by GetModuleGlobalName) */
#if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj) {
    PyObject *dict = Py_TYPE(obj)->tp_dict;
    return likely(dict) ? __PYX_GET_DICT_VERSION(dict) : 0;
}
static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj) {
    PyObject **dictptr = NULL;
    Py_ssize_t offset = Py_TYPE(obj)->tp_dictoffset;
    if (offset) {
#if CYTHON_COMPILING_IN_CPYTHON
        dictptr = (likely(offset > 0)) ? (PyObject **) ((char *)obj + offset) : _PyObject_GetDictPtr(obj);
#else
        dictptr = _PyObject_GetDictPtr(obj);
#endif
    }
    return (dictptr && *dictptr) ? __PYX_GET_DICT_VERSION(*dictptr) : 0;
}
static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version) {
    PyObject *dict = Py_TYPE(obj)->tp_dict;
    if (unlikely(!dict) || unlikely(tp_dict_version != __PYX_GET_DICT_VERSION(dict)))
        return 0;
    return obj_dict_version == __Pyx_get_object_dict_version(obj);
}
#endif

/* GetModuleGlobalName */
#if CYTHON_USE_DICT_VERSIONS
static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value)
#else
static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name)
#endif
{
    PyObject *result;
#if CYTHON_COMPILING_IN_LIMITED_API
    if (unlikely(!__pyx_m)) {
        if (!PyErr_Occurred())
            PyErr_SetNone(PyExc_NameError);
        return NULL;
    }
    result = PyObject_GetAttr(__pyx_m, name);
    if (likely(result)) {
        return result;
    }
    PyErr_Clear();
#elif CYTHON_AVOID_BORROWED_REFS || CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS
    if (unlikely(__Pyx_PyDict_GetItemRef(__pyx_mstate_global->__pyx_d, name, &result) == -1)) PyErr_Clear();
    __PYX_UPDATE_DICT_CACHE(__pyx_mstate_global->__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return result;
    }
#else
    result = _PyDict_GetItem_KnownHash(__pyx_mstate_global->__pyx_d, name, ((PyASCIIObject *) name)->hash);
    __PYX_UPDATE_DICT_CACHE(__pyx_mstate_global->__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    }
    PyErr_Clear();
#endif
    return __Pyx_GetBuiltinName(name);
}

/* PyObjectVectorCallKwBuilder */
#if CYTHON_VECTORCALL
static int __Pyx_VectorcallBuilder_AddArg(PyObject *key, PyObject *value, PyObject *builder, PyObject **args, int n) {
    (void)__Pyx_PyObject_FastCallDict;
    if (__Pyx_PyTuple_SET_ITEM(builder, n, key) != (0)) return -1;
    Py_INCREF(key);
    args[n] = value;
    return 0;
}
CYTHON_UNUSED static int __Pyx_VectorcallBuilder_AddArg_Check(PyObject *key, PyObject *value, PyObject *builder, PyObject **args, int n) {
    (void)__Pyx_VectorcallBuilder_AddArgStr;
    if (unlikely(!PyUnicode_Check(key))) {
        PyErr_SetString(PyExc_TypeError, "keywords must be strings");
        return -1;
    }
    return __Pyx_VectorcallBuilder_AddArg(key, value, builder, args, n);
}
static int __Pyx_VectorcallBuilder_AddArgStr(const char *key, PyObject *value, PyObject *builder, PyObject **args, int n) {
    PyObject *pyKey = PyUnicode_FromString(key);
    if (!pyKey) return -1;
    return __Pyx_VectorcallBuilder_AddArg(pyKey, value, builder, args, n);
}
#else // CYTHON_VECTORCALL
CYTHON_UNUSED static int __Pyx_VectorcallBuilder_AddArg_Check(PyObject *key, PyObject *value, PyObject *builder, CYTHON_UNUSED PyObject **args, CYTHON_UNUSED int n) {
    if (unlikely(!PyUnicode_Check(key))) {
        PyErr_SetString(PyExc_TypeError, "keywords must be strings");
        return -1;
    }
    return PyDict_SetItem(builder, key, value);
}
#endif

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

/* TupleAndListFromArray (used by fastcall) */
#if !CYTHON_COMPILING_IN_CPYTHON && CYTHON_METH_FASTCALL
static CYTHON_INLINE PyObject *
__Pyx_PyTuple_FromArray(PyObject *const *src, Py_ssize_t n)
{
    PyObject *res;
    Py_ssize_t i;
    if (n <= 0) {
        return __Pyx_NewRef(__pyx_mstate_global->__pyx_empty_tuple);
    }
    res = PyTuple_New(n);
    if (unlikely(res == NULL)) return NULL;
    for (i = 0; i < n; i++) {
        if (unlikely(__Pyx_PyTuple_SET_ITEM(res, i, src[i]) < (0))) {
            Py_DECREF(res);
            return NULL;
        }
        Py_INCREF(src[i]);
    }
    return res;
}
#elif 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) {
        return __Pyx_NewRef(__pyx_mstate_global->__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 (used by UnicodeEquals) */
static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals) {
#if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_GRAAL ||\
        !(CYTHON_ASSUME_SAFE_SIZE && CYTHON_ASSUME_SAFE_MACROS)
    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 (used by fastcall) */
static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals) {
#if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_GRAAL
    return PyObject_RichCompareBool(s1, s2, equals);
#else
    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 (s1_is_unicode & s2_is_unicode) {
        Py_ssize_t length, length2;
        int kind;
        void *data1, *data2;
        #if !CYTHON_COMPILING_IN_LIMITED_API
        if (unlikely(__Pyx_PyUnicode_READY(s1) < 0) || unlikely(__Pyx_PyUnicode_READY(s2) < 0))
            return -1;
        #endif
        length = __Pyx_PyUnicode_GET_LENGTH(s1);
        #if !CYTHON_ASSUME_SAFE_SIZE
        if (unlikely(length < 0)) return -1;
        #endif
        length2 = __Pyx_PyUnicode_GET_LENGTH(s2);
        #if !CYTHON_ASSUME_SAFE_SIZE
        if (unlikely(length2 < 0)) return -1;
        #endif
        if (length != length2) {
            goto return_ne;
        }
#if CYTHON_USE_UNICODE_INTERNALS
        {
            Py_hash_t hash1, hash2;
            hash1 = ((PyASCIIObject*)s1)->hash;
            hash2 = ((PyASCIIObject*)s2)->hash;
            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));
            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_result)
            return -1;
        result = __Pyx_PyObject_IsTrue(py_result);
        Py_DECREF(py_result);
        return result;
    }
return_eq:
    return (equals == Py_EQ);
return_ne:
    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 = __Pyx_PyTuple_GET_SIZE(kwnames);
    #if !CYTHON_ASSUME_SAFE_SIZE
    if (unlikely(n == -1)) return NULL;
    #endif
    for (i = 0; i < n; i++)
    {
        PyObject *namei = __Pyx_PyTuple_GET_ITEM(kwnames, i);
        #if !CYTHON_ASSUME_SAFE_MACROS
        if (unlikely(!namei)) return NULL;
        #endif
        if (s == namei) return kwvalues[i];
    }
    for (i = 0; i < n; i++)
    {
        PyObject *namei = __Pyx_PyTuple_GET_ITEM(kwnames, i);
        #if !CYTHON_ASSUME_SAFE_MACROS
        if (unlikely(!namei)) return NULL;
        #endif
        int eq = __Pyx_PyUnicode_Equals(s, namei, 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_COMPILING_IN_LIMITED_API
CYTHON_UNUSED static PyObject *__Pyx_KwargsAsDict_FASTCALL(PyObject *kwnames, PyObject *const *kwvalues) {
    Py_ssize_t i, nkwargs;
    PyObject *dict;
#if !CYTHON_ASSUME_SAFE_SIZE
    nkwargs = PyTuple_Size(kwnames);
    if (unlikely(nkwargs < 0)) return NULL;
#else
    nkwargs = PyTuple_GET_SIZE(kwnames);
#endif
    dict = PyDict_New();
    if (unlikely(!dict))
        return NULL;
    for (i=0; i<nkwargs; i++) {
#if !CYTHON_ASSUME_SAFE_MACROS
        PyObject *key = PyTuple_GetItem(kwnames, i);
        if (!key) goto bad;
#else
        PyObject *key = PyTuple_GET_ITEM(kwnames, i);
#endif
        if (unlikely(PyDict_SetItem(dict, key, kwvalues[i]) < 0))
            goto bad;
    }
    return dict;
bad:
    Py_DECREF(dict);
    return NULL;
}
#endif
#endif

/* PyObjectCallOneArg (used by CallUnboundCMethod0) */
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);
}

/* UnpackUnboundCMethod (used by CallUnboundCMethod0) */
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030C0000
static PyObject *__Pyx_SelflessCall(PyObject *method, PyObject *args, PyObject *kwargs) {
    PyObject *result;
    PyObject *selfless_args = PyTuple_GetSlice(args, 1, PyTuple_Size(args));
    if (unlikely(!selfless_args)) return NULL;
    result = PyObject_Call(method, selfless_args, kwargs);
    Py_DECREF(selfless_args);
    return result;
}
#elif CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03090000
static PyObject *__Pyx_SelflessCall(PyObject *method, PyObject **args, Py_ssize_t nargs, PyObject *kwnames) {
        return _PyObject_Vectorcall
            (method, args ? args+1 : NULL, nargs ? nargs-1 : 0, kwnames);
}
#else
static PyObject *__Pyx_SelflessCall(PyObject *method, PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames) {
    return
#if PY_VERSION_HEX < 0x03090000
    _PyObject_Vectorcall
#else
    PyObject_Vectorcall
#endif
        (method, args ? args+1 : NULL, nargs ? (size_t) nargs-1 : 0, kwnames);
}
#endif
static PyMethodDef __Pyx_UnboundCMethod_Def = {
     "CythonUnboundCMethod",
     __PYX_REINTERPRET_FUNCION(PyCFunction, __Pyx_SelflessCall),
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030C0000
     METH_VARARGS | METH_KEYWORDS,
#else
     METH_FASTCALL | METH_KEYWORDS,
#endif
     NULL
};
static int __Pyx_TryUnpackUnboundCMethod(__Pyx_CachedCFunction* target) {
    PyObject *method, *result=NULL;
    method = __Pyx_PyObject_GetAttrStr(target->type, *target->method_name);
    if (unlikely(!method))
        return -1;
    result = method;
#if CYTHON_COMPILING_IN_CPYTHON
    if (likely(__Pyx_TypeCheck(method, &PyMethodDescr_Type)))
    {
        PyMethodDescrObject *descr = (PyMethodDescrObject*) method;
        target->func = descr->d_method->ml_meth;
        target->flag = descr->d_method->ml_flags & ~(METH_CLASS | METH_STATIC | METH_COEXIST | METH_STACKLESS);
    } else
#endif
#if CYTHON_COMPILING_IN_PYPY
#else
    if (PyCFunction_Check(method))
#endif
    {
        PyObject *self;
        int self_found;
#if CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_PYPY
        self = PyObject_GetAttrString(method, "__self__");
        if (!self) {
            PyErr_Clear();
        }
#else
        self = PyCFunction_GET_SELF(method);
#endif
        self_found = (self && self != Py_None);
#if CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_PYPY
        Py_XDECREF(self);
#endif
        if (self_found) {
            PyObject *unbound_method = PyCFunction_New(&__Pyx_UnboundCMethod_Def, method);
            if (unlikely(!unbound_method)) return -1;
            Py_DECREF(method);
            result = unbound_method;
        }
    }
#if !CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    if (unlikely(target->method)) {
        Py_DECREF(result);
    } else
#endif
    target->method = result;
    return 0;
}

/* CallUnboundCMethod0 */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_CallUnboundCMethod0(__Pyx_CachedCFunction* cfunc, PyObject* self) {
    int was_initialized = __Pyx_CachedCFunction_GetAndSetInitializing(cfunc);
    if (likely(was_initialized == 2 && cfunc->func)) {
        if (likely(cfunc->flag == METH_NOARGS))
            return __Pyx_CallCFunction(cfunc, self, NULL);
        if (likely(cfunc->flag == METH_FASTCALL))
            return __Pyx_CallCFunctionFast(cfunc, self, NULL, 0);
        if (cfunc->flag == (METH_FASTCALL | METH_KEYWORDS))
            return __Pyx_CallCFunctionFastWithKeywords(cfunc, self, NULL, 0, NULL);
        if (likely(cfunc->flag == (METH_VARARGS | METH_KEYWORDS)))
            return __Pyx_CallCFunctionWithKeywords(cfunc, self, __pyx_mstate_global->__pyx_empty_tuple, NULL);
        if (cfunc->flag == METH_VARARGS)
            return __Pyx_CallCFunction(cfunc, self, __pyx_mstate_global->__pyx_empty_tuple);
        return __Pyx__CallUnboundCMethod0(cfunc, self);
    }
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    else if (unlikely(was_initialized == 1)) {
        __Pyx_CachedCFunction tmp_cfunc = {
#ifndef __cplusplus
            0
#endif
        };
        tmp_cfunc.type = cfunc->type;
        tmp_cfunc.method_name = cfunc->method_name;
        return __Pyx__CallUnboundCMethod0(&tmp_cfunc, self);
    }
#endif
    PyObject *result = __Pyx__CallUnboundCMethod0(cfunc, self);
    __Pyx_CachedCFunction_SetFinishedInitializing(cfunc);
    return result;
}
#endif
static PyObject* __Pyx__CallUnboundCMethod0(__Pyx_CachedCFunction* cfunc, PyObject* self) {
    PyObject *result;
    if (unlikely(!cfunc->method) && unlikely(__Pyx_TryUnpackUnboundCMethod(cfunc) < 0)) return NULL;
    result = __Pyx_PyObject_CallOneArg(cfunc->method, self);
    return result;
}

/* py_dict_items (used by OwnedDictNext) */
static CYTHON_INLINE PyObject* __Pyx_PyDict_Items(PyObject* d) {
    return __Pyx_CallUnboundCMethod0(&__pyx_mstate_global->__pyx_umethod_PyDict_Type_items, d);
}

/* py_dict_values (used by OwnedDictNext) */
static CYTHON_INLINE PyObject* __Pyx_PyDict_Values(PyObject* d) {
    return __Pyx_CallUnboundCMethod0(&__pyx_mstate_global->__pyx_umethod_PyDict_Type_values, d);
}

/* OwnedDictNext (used by ParseKeywordsImpl) */
#if CYTHON_AVOID_BORROWED_REFS
static int __Pyx_PyDict_NextRef(PyObject *p, PyObject **ppos, PyObject **pkey, PyObject **pvalue) {
    PyObject *next = NULL;
    if (!*ppos) {
        if (pvalue) {
            PyObject *dictview = pkey ? __Pyx_PyDict_Items(p) : __Pyx_PyDict_Values(p);
            if (unlikely(!dictview)) goto bad;
            *ppos = PyObject_GetIter(dictview);
            Py_DECREF(dictview);
        } else {
            *ppos = PyObject_GetIter(p);
        }
        if (unlikely(!*ppos)) goto bad;
    }
    next = PyIter_Next(*ppos);
    if (!next) {
        if (PyErr_Occurred()) goto bad;
        return 0;
    }
    if (pkey && pvalue) {
        *pkey = __Pyx_PySequence_ITEM(next, 0);
        if (unlikely(*pkey)) goto bad;
        *pvalue = __Pyx_PySequence_ITEM(next, 1);
        if (unlikely(*pvalue)) goto bad;
        Py_DECREF(next);
    } else if (pkey) {
        *pkey = next;
    } else {
        assert(pvalue);
        *pvalue = next;
    }
    return 1;
  bad:
    Py_XDECREF(next);
#if !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x030d0000
    PyErr_FormatUnraisable("Exception ignored in __Pyx_PyDict_NextRef");
#else
    PyErr_WriteUnraisable(__pyx_mstate_global->__pyx_n_u_Pyx_PyDict_NextRef);
#endif
    if (pkey) *pkey = NULL;
    if (pvalue) *pvalue = NULL;
    return 0;
}
#else // !CYTHON_AVOID_BORROWED_REFS
static int __Pyx_PyDict_NextRef(PyObject *p, Py_ssize_t *ppos, PyObject **pkey, PyObject **pvalue) {
    int result = PyDict_Next(p, ppos, pkey, pvalue);
    if (likely(result == 1)) {
        if (pkey) Py_INCREF(*pkey);
        if (pvalue) Py_INCREF(*pvalue);
    }
    return result;
}
#endif

/* RaiseDoubleKeywords (used by ParseKeywordsImpl) */
static void __Pyx_RaiseDoubleKeywordsError(
    const char* func_name,
    PyObject* kw_name)
{
    PyErr_Format(PyExc_TypeError,
        "%s() got multiple values for keyword argument '%U'", func_name, kw_name);
}

/* CallUnboundCMethod2 */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject *__Pyx_CallUnboundCMethod2(__Pyx_CachedCFunction *cfunc, PyObject *self, PyObject *arg1, PyObject *arg2) {
    int was_initialized = __Pyx_CachedCFunction_GetAndSetInitializing(cfunc);
    if (likely(was_initialized == 2 && cfunc->func)) {
        PyObject *args[2] = {arg1, arg2};
        if (cfunc->flag == METH_FASTCALL) {
            return __Pyx_CallCFunctionFast(cfunc, self, args, 2);
        }
        if (cfunc->flag == (METH_FASTCALL | METH_KEYWORDS))
            return __Pyx_CallCFunctionFastWithKeywords(cfunc, self, args, 2, NULL);
    }
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    else if (unlikely(was_initialized == 1)) {
        __Pyx_CachedCFunction tmp_cfunc = {
#ifndef __cplusplus
            0
#endif
        };
        tmp_cfunc.type = cfunc->type;
        tmp_cfunc.method_name = cfunc->method_name;
        return __Pyx__CallUnboundCMethod2(&tmp_cfunc, self, arg1, arg2);
    }
#endif
    PyObject *result = __Pyx__CallUnboundCMethod2(cfunc, self, arg1, arg2);
    __Pyx_CachedCFunction_SetFinishedInitializing(cfunc);
    return result;
}
#endif
static PyObject* __Pyx__CallUnboundCMethod2(__Pyx_CachedCFunction* cfunc, PyObject* self, PyObject* arg1, PyObject* arg2){
    if (unlikely(!cfunc->func && !cfunc->method) && unlikely(__Pyx_TryUnpackUnboundCMethod(cfunc) < 0)) return NULL;
#if CYTHON_COMPILING_IN_CPYTHON
    if (cfunc->func && (cfunc->flag & METH_VARARGS)) {
        PyObject *result = NULL;
        PyObject *args = PyTuple_New(2);
        if (unlikely(!args)) return NULL;
        Py_INCREF(arg1);
        PyTuple_SET_ITEM(args, 0, arg1);
        Py_INCREF(arg2);
        PyTuple_SET_ITEM(args, 1, arg2);
        if (cfunc->flag & METH_KEYWORDS)
            result = __Pyx_CallCFunctionWithKeywords(cfunc, self, args, NULL);
        else
            result = __Pyx_CallCFunction(cfunc, self, args);
        Py_DECREF(args);
        return result;
    }
#endif
    {
        PyObject *args[4] = {NULL, self, arg1, arg2};
        return __Pyx_PyObject_FastCall(cfunc->method, args+1, 3 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET);
    }
}

/* ParseKeywordsImpl (used by ParseKeywords) */
static int __Pyx_ValidateDuplicatePosArgs(
    PyObject *kwds,
    PyObject ** const argnames[],
    PyObject ** const *first_kw_arg,
    const char* function_name)
{
    PyObject ** const *name = argnames;
    while (name != first_kw_arg) {
        PyObject *key = **name;
        int found = PyDict_Contains(kwds, key);
        if (unlikely(found)) {
            if (found == 1) __Pyx_RaiseDoubleKeywordsError(function_name, key);
            goto bad;
        }
        name++;
    }
    return 0;
bad:
    return -1;
}
#if CYTHON_USE_UNICODE_INTERNALS
static CYTHON_INLINE int __Pyx_UnicodeKeywordsEqual(PyObject *s1, PyObject *s2) {
    int kind;
    Py_ssize_t len = PyUnicode_GET_LENGTH(s1);
    if (len != PyUnicode_GET_LENGTH(s2)) return 0;
    kind = PyUnicode_KIND(s1);
    if (kind != PyUnicode_KIND(s2)) return 0;
    const void *data1 = PyUnicode_DATA(s1);
    const void *data2 = PyUnicode_DATA(s2);
    return (memcmp(data1, data2, (size_t) len * (size_t) kind) == 0);
}
#endif
static int __Pyx_MatchKeywordArg_str(
    PyObject *key,
    PyObject ** const argnames[],
    PyObject ** const *first_kw_arg,
    size_t *index_found,
    const char *function_name)
{
    PyObject ** const *name;
    #if CYTHON_USE_UNICODE_INTERNALS
    Py_hash_t key_hash = ((PyASCIIObject*)key)->hash;
    if (unlikely(key_hash == -1)) {
        key_hash = PyObject_Hash(key);
        if (unlikely(key_hash == -1))
            goto bad;
    }
    #endif
    name = first_kw_arg;
    while (*name) {
        PyObject *name_str = **name;
        #if CYTHON_USE_UNICODE_INTERNALS
        if (key_hash == ((PyASCIIObject*)name_str)->hash && __Pyx_UnicodeKeywordsEqual(name_str, key)) {
            *index_found = (size_t) (name - argnames);
            return 1;
        }
        #else
        #if CYTHON_ASSUME_SAFE_SIZE
        if (PyUnicode_GET_LENGTH(name_str) == PyUnicode_GET_LENGTH(key))
        #endif
        {
            int cmp = PyUnicode_Compare(name_str, key);
            if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
            if (cmp == 0) {
                *index_found = (size_t) (name - argnames);
                return 1;
            }
        }
        #endif
        name++;
    }
    name = argnames;
    while (name != first_kw_arg) {
        PyObject *name_str = **name;
        #if CYTHON_USE_UNICODE_INTERNALS
        if (unlikely(key_hash == ((PyASCIIObject*)name_str)->hash)) {
            if (__Pyx_UnicodeKeywordsEqual(name_str, key))
                goto arg_passed_twice;
        }
        #else
        #if CYTHON_ASSUME_SAFE_SIZE
        if (PyUnicode_GET_LENGTH(name_str) == PyUnicode_GET_LENGTH(key))
        #endif
        {
            if (unlikely(name_str == key)) goto arg_passed_twice;
            int cmp = PyUnicode_Compare(name_str, key);
            if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
            if (cmp == 0) goto arg_passed_twice;
        }
        #endif
        name++;
    }
    return 0;
arg_passed_twice:
    __Pyx_RaiseDoubleKeywordsError(function_name, key);
    goto bad;
bad:
    return -1;
}
static int __Pyx_MatchKeywordArg_nostr(
    PyObject *key,
    PyObject ** const argnames[],
    PyObject ** const *first_kw_arg,
    size_t *index_found,
    const char *function_name)
{
    PyObject ** const *name;
    if (unlikely(!PyUnicode_Check(key))) goto invalid_keyword_type;
    name = first_kw_arg;
    while (*name) {
        int cmp = PyObject_RichCompareBool(**name, key, Py_EQ);
        if (cmp == 1) {
            *index_found = (size_t) (name - argnames);
            return 1;
        }
        if (unlikely(cmp == -1)) goto bad;
        name++;
    }
    name = argnames;
    while (name != first_kw_arg) {
        int cmp = PyObject_RichCompareBool(**name, key, Py_EQ);
        if (unlikely(cmp != 0)) {
            if (cmp == 1) goto arg_passed_twice;
            else goto bad;
        }
        name++;
    }
    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;
bad:
    return -1;
}
static CYTHON_INLINE int __Pyx_MatchKeywordArg(
    PyObject *key,
    PyObject ** const argnames[],
    PyObject ** const *first_kw_arg,
    size_t *index_found,
    const char *function_name)
{
    return likely(PyUnicode_CheckExact(key)) ?
        __Pyx_MatchKeywordArg_str(key, argnames, first_kw_arg, index_found, function_name) :
        __Pyx_MatchKeywordArg_nostr(key, argnames, first_kw_arg, index_found, function_name);
}
static void __Pyx_RejectUnknownKeyword(
    PyObject *kwds,
    PyObject ** const argnames[],
    PyObject ** const *first_kw_arg,
    const char *function_name)
{
    #if CYTHON_AVOID_BORROWED_REFS
    PyObject *pos = NULL;
    #else
    Py_ssize_t pos = 0;
    #endif
    PyObject *key = NULL;
    __Pyx_BEGIN_CRITICAL_SECTION(kwds);
    while (
        #if CYTHON_AVOID_BORROWED_REFS
        __Pyx_PyDict_NextRef(kwds, &pos, &key, NULL)
        #else
        PyDict_Next(kwds, &pos, &key, NULL)
        #endif
    ) {
        PyObject** const *name = first_kw_arg;
        while (*name && (**name != key)) name++;
        if (!*name) {
            size_t index_found = 0;
            int cmp = __Pyx_MatchKeywordArg(key, argnames, first_kw_arg, &index_found, function_name);
            if (cmp != 1) {
                if (cmp == 0) {
                    PyErr_Format(PyExc_TypeError,
                        "%s() got an unexpected keyword argument '%U'",
                        function_name, key);
                }
                #if CYTHON_AVOID_BORROWED_REFS
                Py_DECREF(key);
                #endif
                break;
            }
        }
        #if CYTHON_AVOID_BORROWED_REFS
        Py_DECREF(key);
        #endif
    }
    __Pyx_END_CRITICAL_SECTION();
    #if CYTHON_AVOID_BORROWED_REFS
    Py_XDECREF(pos);
    #endif
    assert(PyErr_Occurred());
}
static int __Pyx_ParseKeywordDict(
    PyObject *kwds,
    PyObject ** const argnames[],
    PyObject *values[],
    Py_ssize_t num_pos_args,
    Py_ssize_t num_kwargs,
    const char* function_name,
    int ignore_unknown_kwargs)
{
    PyObject** const *name;
    PyObject** const *first_kw_arg = argnames + num_pos_args;
    Py_ssize_t extracted = 0;
#if !CYTHON_COMPILING_IN_PYPY || defined(PyArg_ValidateKeywordArguments)
    if (unlikely(!PyArg_ValidateKeywordArguments(kwds))) return -1;
#endif
    name = first_kw_arg;
    while (*name && num_kwargs > extracted) {
        PyObject * key = **name;
        PyObject *value;
        int found = 0;
        #if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
        found = PyDict_GetItemRef(kwds, key, &value);
        #else
        value = PyDict_GetItemWithError(kwds, key);
        if (value) {
            Py_INCREF(value);
            found = 1;
        } else {
            if (unlikely(PyErr_Occurred())) goto bad;
        }
        #endif
        if (found) {
            if (unlikely(found < 0)) goto bad;
            values[name-argnames] = value;
            extracted++;
        }
        name++;
    }
    if (num_kwargs > extracted) {
        if (ignore_unknown_kwargs) {
            if (unlikely(__Pyx_ValidateDuplicatePosArgs(kwds, argnames, first_kw_arg, function_name) == -1))
                goto bad;
        } else {
            __Pyx_RejectUnknownKeyword(kwds, argnames, first_kw_arg, function_name);
            goto bad;
        }
    }
    return 0;
bad:
    return -1;
}
static int __Pyx_ParseKeywordDictToDict(
    PyObject *kwds,
    PyObject ** const argnames[],
    PyObject *kwds2,
    PyObject *values[],
    Py_ssize_t num_pos_args,
    const char* function_name)
{
    PyObject** const *name;
    PyObject** const *first_kw_arg = argnames + num_pos_args;
    Py_ssize_t len;
#if !CYTHON_COMPILING_IN_PYPY || defined(PyArg_ValidateKeywordArguments)
    if (unlikely(!PyArg_ValidateKeywordArguments(kwds))) return -1;
#endif
    if (PyDict_Update(kwds2, kwds) < 0) goto bad;
    name = first_kw_arg;
    while (*name) {
        PyObject *key = **name;
        PyObject *value;
#if !CYTHON_COMPILING_IN_LIMITED_API && (PY_VERSION_HEX >= 0x030d00A2 || defined(PyDict_Pop))
        int found = PyDict_Pop(kwds2, key, &value);
        if (found) {
            if (unlikely(found < 0)) goto bad;
            values[name-argnames] = value;
        }
#elif __PYX_LIMITED_VERSION_HEX >= 0x030d0000
        int found = PyDict_GetItemRef(kwds2, key, &value);
        if (found) {
            if (unlikely(found < 0)) goto bad;
            values[name-argnames] = value;
            if (unlikely(PyDict_DelItem(kwds2, key) < 0)) goto bad;
        }
#else
    #if CYTHON_COMPILING_IN_CPYTHON
        value = _PyDict_Pop(kwds2, key, kwds2);
    #else
        value = __Pyx_CallUnboundCMethod2(&__pyx_mstate_global->__pyx_umethod_PyDict_Type_pop, kwds2, key, kwds2);
    #endif
        if (value == kwds2) {
            Py_DECREF(value);
        } else {
            if (unlikely(!value)) goto bad;
            values[name-argnames] = value;
        }
#endif
        name++;
    }
    len = PyDict_Size(kwds2);
    if (len > 0) {
        return __Pyx_ValidateDuplicatePosArgs(kwds, argnames, first_kw_arg, function_name);
    } else if (unlikely(len == -1)) {
        goto bad;
    }
    return 0;
bad:
    return -1;
}
static int __Pyx_ParseKeywordsTuple(
    PyObject *kwds,
    PyObject * const *kwvalues,
    PyObject ** const argnames[],
    PyObject *kwds2,
    PyObject *values[],
    Py_ssize_t num_pos_args,
    Py_ssize_t num_kwargs,
    const char* function_name,
    int ignore_unknown_kwargs)
{
    PyObject *key = NULL;
    PyObject** const * name;
    PyObject** const *first_kw_arg = argnames + num_pos_args;
    for (Py_ssize_t pos = 0; pos < num_kwargs; pos++) {
#if CYTHON_AVOID_BORROWED_REFS
        key = __Pyx_PySequence_ITEM(kwds, pos);
#else
        key = __Pyx_PyTuple_GET_ITEM(kwds, pos);
#endif
#if !CYTHON_ASSUME_SAFE_MACROS
        if (unlikely(!key)) goto bad;
#endif
        name = first_kw_arg;
        while (*name && (**name != key)) name++;
        if (*name) {
            PyObject *value = kwvalues[pos];
            values[name-argnames] = __Pyx_NewRef(value);
        } else {
            size_t index_found = 0;
            int cmp = __Pyx_MatchKeywordArg(key, argnames, first_kw_arg, &index_found, function_name);
            if (cmp == 1) {
                PyObject *value = kwvalues[pos];
                values[index_found] = __Pyx_NewRef(value);
            } else {
                if (unlikely(cmp == -1)) goto bad;
                if (kwds2) {
                    PyObject *value = kwvalues[pos];
                    if (unlikely(PyDict_SetItem(kwds2, key, value))) goto bad;
                } else if (!ignore_unknown_kwargs) {
                    goto invalid_keyword;
                }
            }
        }
        #if CYTHON_AVOID_BORROWED_REFS
        Py_DECREF(key);
        key = NULL;
        #endif
    }
    return 0;
invalid_keyword:
    PyErr_Format(PyExc_TypeError,
        "%s() got an unexpected keyword argument '%U'",
        function_name, key);
    goto bad;
bad:
    #if CYTHON_AVOID_BORROWED_REFS
    Py_XDECREF(key);
    #endif
    return -1;
}

/* ParseKeywords */
static int __Pyx_ParseKeywords(
    PyObject *kwds,
    PyObject * const *kwvalues,
    PyObject ** const argnames[],
    PyObject *kwds2,
    PyObject *values[],
    Py_ssize_t num_pos_args,
    Py_ssize_t num_kwargs,
    const char* function_name,
    int ignore_unknown_kwargs)
{
    if (CYTHON_METH_FASTCALL && likely(PyTuple_Check(kwds)))
        return __Pyx_ParseKeywordsTuple(kwds, kwvalues, argnames, kwds2, values, num_pos_args, num_kwargs, function_name, ignore_unknown_kwargs);
    else if (kwds2)
        return __Pyx_ParseKeywordDictToDict(kwds, argnames, kwds2, values, num_pos_args, function_name);
    else
        return __Pyx_ParseKeywordDict(kwds, argnames, values, num_pos_args, num_kwargs, function_name, ignore_unknown_kwargs);
}

/* 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);
}

/* PyObjectFastCallMethod */
#if !CYTHON_VECTORCALL || PY_VERSION_HEX < 0x03090000
static PyObject *__Pyx_PyObject_FastCallMethod(PyObject *name, PyObject *const *args, size_t nargsf) {
    PyObject *result;
    PyObject *attr = PyObject_GetAttr(args[0], name);
    if (unlikely(!attr))
        return NULL;
    result = __Pyx_PyObject_FastCall(attr, args+1, nargsf - 1);
    Py_DECREF(attr);
    return result;
}
#endif

/* IsLittleEndian (used by BufferFormatCheck) */
static CYTHON_INLINE int __Pyx_Is_Little_Endian(void)
{
  union {
    uint32_t u32;
    uint8_t u8[4];
  } S;
  S.u32 = 0x01020304;
  return S.u8[0] == 4;
}

/* BufferFormatCheck (used by BufferGetAndValidate) */
static void __Pyx_BufFmt_Init(__Pyx_BufFmt_Context* ctx,
                              __Pyx_BufFmt_StackElem* stack,
                              const __Pyx_TypeInfo* type) {
  stack[0].field = &ctx->root;
  stack[0].parent_offset = 0;
  ctx->root.type = type;
  ctx->root.name = "buffer dtype";
  ctx->root.offset = 0;
  ctx->head = stack;
  ctx->head->field = &ctx->root;
  ctx->fmt_offset = 0;
  ctx->head->parent_offset = 0;
  ctx->new_packmode = '@';
  ctx->enc_packmode = '@';
  ctx->new_count = 1;
  ctx->enc_count = 0;
  ctx->enc_type = 0;
  ctx->is_complex = 0;
  ctx->is_valid_array = 0;
  ctx->struct_alignment = 0;
  while (type->typegroup == 'S') {
    ++ctx->head;
    ctx->head->field = type->fields;
    ctx->head->parent_offset = 0;
    type = type->fields->type;
  }
}
static int __Pyx_BufFmt_ParseNumber(const char** ts) {
    int count;
    const char* t = *ts;
    if (*t < '0' || *t > '9') {
      return -1;
    } else {
        count = *t++ - '0';
        while (*t >= '0' && *t <= '9') {
            count *= 10;
            count += *t++ - '0';
        }
    }
    *ts = t;
    return count;
}
static int __Pyx_BufFmt_ExpectNumber(const char **ts) {
    int number = __Pyx_BufFmt_ParseNumber(ts);
    if (number == -1)
        PyErr_Format(PyExc_ValueError,\
                     "Does not understand character buffer dtype format string ('%c')", **ts);
    return number;
}
static void __Pyx_BufFmt_RaiseUnexpectedChar(char ch) {
  PyErr_Format(PyExc_ValueError,
               "Unexpected format string character: '%c'", ch);
}
static const char* __Pyx_BufFmt_DescribeTypeChar(char ch, int is_complex) {
  switch (ch) {
    case '?': return "'bool'";
    case 'c': return "'char'";
    case 'b': return "'signed char'";
    case 'B': return "'unsigned char'";
    case 'h': return "'short'";
    case 'H': return "'unsigned short'";
    case 'i': return "'int'";
    case 'I': return "'unsigned int'";
    case 'l': return "'long'";
    case 'L': return "'unsigned long'";
    case 'q': return "'long long'";
    case 'Q': return "'unsigned long long'";
    case 'f': return (is_complex ? "'complex float'" : "'float'");
    case 'd': return (is_complex ? "'complex double'" : "'double'");
    case 'g': return (is_complex ? "'complex long double'" : "'long double'");
    case 'T': return "a struct";
    case 'O': return "Python object";
    case 'P': return "a pointer";
    case 's': case 'p': return "a string";
    case 0: return "end";
    default: return "unparsable format string";
  }
}
static size_t __Pyx_BufFmt_TypeCharToStandardSize(char ch, int is_complex) {
  switch (ch) {
    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
    case 'h': case 'H': return 2;
    case 'i': case 'I': case 'l': case 'L': return 4;
    case 'q': case 'Q': return 8;
    case 'f': return (is_complex ? 8 : 4);
    case 'd': return (is_complex ? 16 : 8);
    case 'g': {
      PyErr_SetString(PyExc_ValueError, "Python does not define a standard format string size for long double ('g')..");
      return 0;
    }
    case 'O': case 'P': return sizeof(void*);
    default:
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
}
static size_t __Pyx_BufFmt_TypeCharToNativeSize(char ch, int is_complex) {
  switch (ch) {
    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
    case 'h': case 'H': return sizeof(short);
    case 'i': case 'I': return sizeof(int);
    case 'l': case 'L': return sizeof(long);
    case 'q': case 'Q': return sizeof(PY_LONG_LONG);
    case 'f': return sizeof(float) * (is_complex ? 2 : 1);
    case 'd': return sizeof(double) * (is_complex ? 2 : 1);
    case 'g': return sizeof(long double) * (is_complex ? 2 : 1);
    case 'O': case 'P': return sizeof(void*);
    default: {
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
  }
}
typedef struct { char c; short x; } __Pyx_st_short;
typedef struct { char c; int x; } __Pyx_st_int;
typedef struct { char c; long x; } __Pyx_st_long;
typedef struct { char c; float x; } __Pyx_st_float;
typedef struct { char c; double x; } __Pyx_st_double;
typedef struct { char c; long double x; } __Pyx_st_longdouble;
typedef struct { char c; void *x; } __Pyx_st_void_p;
typedef struct { char c; PY_LONG_LONG x; } __Pyx_st_longlong;
static size_t __Pyx_BufFmt_TypeCharToAlignment(char ch, int is_complex) {
  CYTHON_UNUSED_VAR(is_complex);
  switch (ch) {
    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
    case 'h': case 'H': return sizeof(__Pyx_st_short) - sizeof(short);
    case 'i': case 'I': return sizeof(__Pyx_st_int) - sizeof(int);
    case 'l': case 'L': return sizeof(__Pyx_st_long) - sizeof(long);
    case 'q': case 'Q': return sizeof(__Pyx_st_longlong) - sizeof(PY_LONG_LONG);
    case 'f': return sizeof(__Pyx_st_float) - sizeof(float);
    case 'd': return sizeof(__Pyx_st_double) - sizeof(double);
    case 'g': return sizeof(__Pyx_st_longdouble) - sizeof(long double);
    case 'P': case 'O': return sizeof(__Pyx_st_void_p) - sizeof(void*);
    default:
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
}
/* These are for computing the padding at the end of the struct to align
   on the first member of the struct. This will probably the same as above,
   but we don't have any guarantees.
 */
typedef struct { short x; char c; } __Pyx_pad_short;
typedef struct { int x; char c; } __Pyx_pad_int;
typedef struct { long x; char c; } __Pyx_pad_long;
typedef struct { float x; char c; } __Pyx_pad_float;
typedef struct { double x; char c; } __Pyx_pad_double;
typedef struct { long double x; char c; } __Pyx_pad_longdouble;
typedef struct { void *x; char c; } __Pyx_pad_void_p;
typedef struct { PY_LONG_LONG x; char c; } __Pyx_pad_longlong;
static size_t __Pyx_BufFmt_TypeCharToPadding(char ch, int is_complex) {
  CYTHON_UNUSED_VAR(is_complex);
  switch (ch) {
    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
    case 'h': case 'H': return sizeof(__Pyx_pad_short) - sizeof(short);
    case 'i': case 'I': return sizeof(__Pyx_pad_int) - sizeof(int);
    case 'l': case 'L': return sizeof(__Pyx_pad_long) - sizeof(long);
    case 'q': case 'Q': return sizeof(__Pyx_pad_longlong) - sizeof(PY_LONG_LONG);
    case 'f': return sizeof(__Pyx_pad_float) - sizeof(float);
    case 'd': return sizeof(__Pyx_pad_double) - sizeof(double);
    case 'g': return sizeof(__Pyx_pad_longdouble) - sizeof(long double);
    case 'P': case 'O': return sizeof(__Pyx_pad_void_p) - sizeof(void*);
    default:
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
}
static char __Pyx_BufFmt_TypeCharToGroup(char ch, int is_complex) {
  switch (ch) {
    case 'c':
        return 'H';
    case 'b': case 'h': case 'i':
    case 'l': case 'q': case 's': case 'p':
        return 'I';
    case '?': case 'B': case 'H': case 'I': case 'L': case 'Q':
        return 'U';
    case 'f': case 'd': case 'g':
        return (is_complex ? 'C' : 'R');
    case 'O':
        return 'O';
    case 'P':
        return 'P';
    default: {
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
  }
}
static void __Pyx_BufFmt_RaiseExpected(__Pyx_BufFmt_Context* ctx) {
  if (ctx->head == NULL || ctx->head->field == &ctx->root) {
    const char* expected;
    const char* quote;
    if (ctx->head == NULL) {
      expected = "end";
      quote = "";
    } else {
      expected = ctx->head->field->type->name;
      quote = "'";
    }
    PyErr_Format(PyExc_ValueError,
                 "Buffer dtype mismatch, expected %s%s%s but got %s",
                 quote, expected, quote,
                 __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex));
  } else {
    const __Pyx_StructField* field = ctx->head->field;
    const __Pyx_StructField* parent = (ctx->head - 1)->field;
    PyErr_Format(PyExc_ValueError,
                 "Buffer dtype mismatch, expected '%s' but got %s in '%s.%s'",
                 field->type->name, __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex),
                 parent->type->name, field->name);
  }
}
static int __Pyx_BufFmt_ProcessTypeChunk(__Pyx_BufFmt_Context* ctx) {
  char group;
  size_t size, offset, arraysize = 1;
  if (ctx->enc_type == 0) return 0;
  if (ctx->head->field->type->arraysize[0]) {
    int i, ndim = 0;
    if (ctx->enc_type == 's' || ctx->enc_type == 'p') {
        ctx->is_valid_array = ctx->head->field->type->ndim == 1;
        ndim = 1;
        if (ctx->enc_count != ctx->head->field->type->arraysize[0]) {
            PyErr_Format(PyExc_ValueError,
                         "Expected a dimension of size %zu, got %zu",
                         ctx->head->field->type->arraysize[0], ctx->enc_count);
            return -1;
        }
    }
    if (!ctx->is_valid_array) {
      PyErr_Format(PyExc_ValueError, "Expected %d dimensions, got %d",
                   ctx->head->field->type->ndim, ndim);
      return -1;
    }
    for (i = 0; i < ctx->head->field->type->ndim; i++) {
      arraysize *= ctx->head->field->type->arraysize[i];
    }
    ctx->is_valid_array = 0;
    ctx->enc_count = 1;
  }
  group = __Pyx_BufFmt_TypeCharToGroup(ctx->enc_type, ctx->is_complex);
  do {
    const __Pyx_StructField* field = ctx->head->field;
    const __Pyx_TypeInfo* type = field->type;
    if (ctx->enc_packmode == '@' || ctx->enc_packmode == '^') {
      size = __Pyx_BufFmt_TypeCharToNativeSize(ctx->enc_type, ctx->is_complex);
    } else {
      size = __Pyx_BufFmt_TypeCharToStandardSize(ctx->enc_type, ctx->is_complex);
    }
    if (ctx->enc_packmode == '@') {
      size_t align_at = __Pyx_BufFmt_TypeCharToAlignment(ctx->enc_type, ctx->is_complex);
      size_t align_mod_offset;
      if (align_at == 0) return -1;
      align_mod_offset = ctx->fmt_offset % align_at;
      if (align_mod_offset > 0) ctx->fmt_offset += align_at - align_mod_offset;
      if (ctx->struct_alignment == 0)
          ctx->struct_alignment = __Pyx_BufFmt_TypeCharToPadding(ctx->enc_type,
                                                                 ctx->is_complex);
    }
    if (type->size != size || type->typegroup != group) {
      if (type->typegroup == 'C' && type->fields != NULL) {
        size_t parent_offset = ctx->head->parent_offset + field->offset;
        ++ctx->head;
        ctx->head->field = type->fields;
        ctx->head->parent_offset = parent_offset;
        continue;
      }
      if ((type->typegroup == 'H' || group == 'H') && type->size == size) {
      } else {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return -1;
      }
    }
    offset = ctx->head->parent_offset + field->offset;
    if (ctx->fmt_offset != offset) {
      PyErr_Format(PyExc_ValueError,
                   "Buffer dtype mismatch; next field is at offset %" CYTHON_FORMAT_SSIZE_T "d but %" CYTHON_FORMAT_SSIZE_T "d expected",
                   (Py_ssize_t)ctx->fmt_offset, (Py_ssize_t)offset);
      return -1;
    }
    ctx->fmt_offset += size;
    if (arraysize)
      ctx->fmt_offset += (arraysize - 1) * size;
    --ctx->enc_count;
    while (1) {
      if (field == &ctx->root) {
        ctx->head = NULL;
        if (ctx->enc_count != 0) {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return -1;
        }
        break;
      }
      ctx->head->field = ++field;
      if (field->type == NULL) {
        --ctx->head;
        field = ctx->head->field;
        continue;
      } else if (field->type->typegroup == 'S') {
        size_t parent_offset = ctx->head->parent_offset + field->offset;
        if (field->type->fields->type == NULL) continue;
        field = field->type->fields;
        ++ctx->head;
        ctx->head->field = field;
        ctx->head->parent_offset = parent_offset;
        break;
      } else {
        break;
      }
    }
  } while (ctx->enc_count);
  ctx->enc_type = 0;
  ctx->is_complex = 0;
  return 0;
}
static int
__pyx_buffmt_parse_array(__Pyx_BufFmt_Context* ctx, const char** tsp)
{
    const char *ts = *tsp;
    int i = 0, number, ndim;
    ++ts;
    if (ctx->new_count != 1) {
        PyErr_SetString(PyExc_ValueError,
                        "Cannot handle repeated arrays in format string");
        return -1;
    }
    if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return -1;
    ndim = ctx->head->field->type->ndim;
    while (*ts && *ts != ')') {
        switch (*ts) {
            case ' ': case '\f': case '\r': case '\n': case '\t': case '\v':  continue;
            default:  break;
        }
        number = __Pyx_BufFmt_ExpectNumber(&ts);
        if (number == -1) return -1;
        if (i < ndim && (size_t) number != ctx->head->field->type->arraysize[i]) {
            PyErr_Format(PyExc_ValueError,
                        "Expected a dimension of size %zu, got %d",
                        ctx->head->field->type->arraysize[i], number);
            return -1;
        }
        if (*ts != ',' && *ts != ')') {
            PyErr_Format(PyExc_ValueError,
                                "Expected a comma in format string, got '%c'", *ts);
            return -1;
        }
        if (*ts == ',') ts++;
        i++;
    }
    if (i != ndim) {
        PyErr_Format(PyExc_ValueError, "Expected %d dimension(s), got %d",
                            ctx->head->field->type->ndim, i);
        return -1;
    }
    if (!*ts) {
        PyErr_SetString(PyExc_ValueError,
                        "Unexpected end of format string, expected ')'");
        return -1;
    }
    ctx->is_valid_array = 1;
    ctx->new_count = 1;
    *tsp = ++ts;
    return 0;
}
static const char* __Pyx_BufFmt_CheckString(__Pyx_BufFmt_Context* ctx, const char* ts) {
  int got_Z = 0;
  while (1) {
    switch(*ts) {
      case 0:
        if (ctx->enc_type != 0 && ctx->head == NULL) {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return NULL;
        }
        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
        if (ctx->head != NULL) {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return NULL;
        }
        return ts;
      case ' ':
      case '\r':
      case '\n':
        ++ts;
        break;
      case '<':
        if (!__Pyx_Is_Little_Endian()) {
          PyErr_SetString(PyExc_ValueError, "Little-endian buffer not supported on big-endian compiler");
          return NULL;
        }
        ctx->new_packmode = '=';
        ++ts;
        break;
      case '>':
      case '!':
        if (__Pyx_Is_Little_Endian()) {
          PyErr_SetString(PyExc_ValueError, "Big-endian buffer not supported on little-endian compiler");
          return NULL;
        }
        ctx->new_packmode = '=';
        ++ts;
        break;
      case '=':
      case '@':
      case '^':
        ctx->new_packmode = *ts++;
        break;
      case 'T':
        {
          const char* ts_after_sub;
          size_t i, struct_count = ctx->new_count;
          size_t struct_alignment = ctx->struct_alignment;
          ctx->new_count = 1;
          ++ts;
          if (*ts != '{') {
            PyErr_SetString(PyExc_ValueError, "Buffer acquisition: Expected '{' after 'T'");
            return NULL;
          }
          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
          ctx->enc_type = 0;
          ctx->enc_count = 0;
          ctx->struct_alignment = 0;
          ++ts;
          ts_after_sub = ts;
          for (i = 0; i != struct_count; ++i) {
            ts_after_sub = __Pyx_BufFmt_CheckString(ctx, ts);
            if (!ts_after_sub) return NULL;
          }
          ts = ts_after_sub;
          if (struct_alignment) ctx->struct_alignment = struct_alignment;
        }
        break;
      case '}':
        {
          size_t alignment = ctx->struct_alignment;
          ++ts;
          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
          ctx->enc_type = 0;
          if (alignment && ctx->fmt_offset % alignment) {
            ctx->fmt_offset += alignment - (ctx->fmt_offset % alignment);
          }
        }
        return ts;
      case 'x':
        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
        ctx->fmt_offset += ctx->new_count;
        ctx->new_count = 1;
        ctx->enc_count = 0;
        ctx->enc_type = 0;
        ctx->enc_packmode = ctx->new_packmode;
        ++ts;
        break;
      case 'Z':
        got_Z = 1;
        ++ts;
        if (*ts != 'f' && *ts != 'd' && *ts != 'g') {
          __Pyx_BufFmt_RaiseUnexpectedChar('Z');
          return NULL;
        }
        CYTHON_FALLTHROUGH;
      case '?': case 'c': case 'b': case 'B': case 'h': case 'H': case 'i': case 'I':
      case 'l': case 'L': case 'q': case 'Q':
      case 'f': case 'd': case 'g':
      case 'O': case 'p':
        if ((ctx->enc_type == *ts) && (got_Z == ctx->is_complex) &&
            (ctx->enc_packmode == ctx->new_packmode) && (!ctx->is_valid_array)) {
          ctx->enc_count += ctx->new_count;
          ctx->new_count = 1;
          got_Z = 0;
          ++ts;
          break;
        }
        CYTHON_FALLTHROUGH;
      case 's':
        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
        ctx->enc_count = ctx->new_count;
        ctx->enc_packmode = ctx->new_packmode;
        ctx->enc_type = *ts;
        ctx->is_complex = got_Z;
        ++ts;
        ctx->new_count = 1;
        got_Z = 0;
        break;
      case ':':
        ++ts;
        while(*ts != ':') ++ts;
        ++ts;
        break;
      case '(':
        if (__pyx_buffmt_parse_array(ctx, &ts) < 0) return NULL;
        break;
      default:
        {
          int number = __Pyx_BufFmt_ExpectNumber(&ts);
          if (number == -1) return NULL;
          ctx->new_count = (size_t)number;
        }
    }
  }
}

/* BufferGetAndValidate */
  static CYTHON_INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info) {
    if (unlikely(info->buf == NULL)) return;
    if (info->suboffsets == __Pyx_minusones) info->suboffsets = NULL;
    PyBuffer_Release(info);
  }
  static void __Pyx_ZeroBuffer(Py_buffer* buf) {
    buf->buf = NULL;
    buf->obj = NULL;
    buf->strides = __Pyx_zeros;
    buf->shape = __Pyx_zeros;
    buf->suboffsets = __Pyx_minusones;
  }
  static int __Pyx__GetBufferAndValidate(
          Py_buffer* buf, PyObject* obj,  const __Pyx_TypeInfo* dtype, int flags,
          int nd, int cast, __Pyx_BufFmt_StackElem* stack)
  {
    buf->buf = NULL;
    if (unlikely(PyObject_GetBuffer(obj, buf, flags) == -1)) {
      __Pyx_ZeroBuffer(buf);
      return -1;
    }
    if (unlikely(buf->ndim != nd)) {
      PyErr_Format(PyExc_ValueError,
                   "Buffer has wrong number of dimensions (expected %d, got %d)",
                   nd, buf->ndim);
      goto fail;
    }
    if (!cast) {
      __Pyx_BufFmt_Context ctx;
      __Pyx_BufFmt_Init(&ctx, stack, dtype);
      if (!__Pyx_BufFmt_CheckString(&ctx, buf->format)) goto fail;
    }
    if (unlikely((size_t)buf->itemsize != dtype->size)) {
      PyErr_Format(PyExc_ValueError,
        "Item size of buffer (%" CYTHON_FORMAT_SSIZE_T "d byte%s) does not match size of '%s' (%" CYTHON_FORMAT_SSIZE_T "d byte%s)",
        buf->itemsize, (buf->itemsize > 1) ? "s" : "",
        dtype->name, (Py_ssize_t)dtype->size, (dtype->size > 1) ? "s" : "");
      goto fail;
    }
    if (buf->suboffsets == NULL) buf->suboffsets = __Pyx_minusones;
    return 0;
  fail:;
    __Pyx_SafeReleaseBuffer(buf);
    return -1;
  }
  
/* BufferFallbackError */
  static void __Pyx_RaiseBufferFallbackError(void) {
    PyErr_SetString(PyExc_ValueError,
       "Buffer acquisition failed on assignment; and then reacquiring the old buffer failed too!");
  }
  
/* RejectKeywords */
  static void __Pyx_RejectKeywords(const char* function_name, PyObject *kwds) {
      PyObject *key = NULL;
      if (CYTHON_METH_FASTCALL && likely(PyTuple_Check(kwds))) {
          key = __Pyx_PySequence_ITEM(kwds, 0);
      } else {
  #if CYTHON_AVOID_BORROWED_REFS
          PyObject *pos = NULL;
  #else
          Py_ssize_t pos = 0;
  #endif
  #if !CYTHON_COMPILING_IN_PYPY || defined(PyArg_ValidateKeywordArguments)
          if (unlikely(!PyArg_ValidateKeywordArguments(kwds))) return;
  #endif
          __Pyx_PyDict_NextRef(kwds, &pos, &key, NULL);
  #if CYTHON_AVOID_BORROWED_REFS
          Py_XDECREF(pos);
  #endif
      }
      if (likely(key)) {
          PyErr_Format(PyExc_TypeError,
              "%s() got an unexpected keyword argument '%U'",
              function_name, key);
          Py_DECREF(key);
      }
  }
  
/* GetItemInt */
  static PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j) {
      PyObject *r;
      if (unlikely(!j)) return NULL;
      r = PyObject_GetItem(o, j);
      Py_DECREF(j);
      return r;
  }
  static CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i,
                                                                int wraparound, int boundscheck, int unsafe_shared) {
      CYTHON_MAYBE_UNUSED_VAR(unsafe_shared);
  #if CYTHON_ASSUME_SAFE_SIZE
      Py_ssize_t wrapped_i = i;
      if (wraparound & unlikely(i < 0)) {
          wrapped_i += PyList_GET_SIZE(o);
      }
      if ((CYTHON_AVOID_BORROWED_REFS || CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS || !CYTHON_ASSUME_SAFE_MACROS)) {
          return __Pyx_PyList_GetItemRefFast(o, wrapped_i, unsafe_shared);
      } else
      if ((!boundscheck) || likely(__Pyx_is_valid_index(wrapped_i, PyList_GET_SIZE(o)))) {
          return __Pyx_NewRef(PyList_GET_ITEM(o, wrapped_i));
      }
      return __Pyx_GetItemInt_Generic(o, PyLong_FromSsize_t(i));
  #else
      (void)wraparound;
      (void)boundscheck;
      return PySequence_GetItem(o, i);
  #endif
  }
  static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,
                                                                int wraparound, int boundscheck, int unsafe_shared) {
      CYTHON_MAYBE_UNUSED_VAR(unsafe_shared);
  #if CYTHON_ASSUME_SAFE_SIZE && CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
      Py_ssize_t wrapped_i = i;
      if (wraparound & unlikely(i < 0)) {
          wrapped_i += PyTuple_GET_SIZE(o);
      }
      if ((!boundscheck) || likely(__Pyx_is_valid_index(wrapped_i, PyTuple_GET_SIZE(o)))) {
          return __Pyx_NewRef(PyTuple_GET_ITEM(o, wrapped_i));
      }
      return __Pyx_GetItemInt_Generic(o, PyLong_FromSsize_t(i));
  #else
      (void)wraparound;
      (void)boundscheck;
      return PySequence_GetItem(o, i);
  #endif
  }
  static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i, int is_list,
                                                       int wraparound, int boundscheck, int unsafe_shared) {
      CYTHON_MAYBE_UNUSED_VAR(unsafe_shared);
  #if CYTHON_ASSUME_SAFE_MACROS && CYTHON_ASSUME_SAFE_SIZE
      if (is_list || PyList_CheckExact(o)) {
          Py_ssize_t n = ((!wraparound) | likely(i >= 0)) ? i : i + PyList_GET_SIZE(o);
          if ((CYTHON_AVOID_BORROWED_REFS || CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS)) {
              return __Pyx_PyList_GetItemRefFast(o, n, unsafe_shared);
          } else if ((!boundscheck) || (likely(__Pyx_is_valid_index(n, PyList_GET_SIZE(o))))) {
              return __Pyx_NewRef(PyList_GET_ITEM(o, n));
          }
      } else
      #if !CYTHON_AVOID_BORROWED_REFS
      if (PyTuple_CheckExact(o)) {
          Py_ssize_t n = ((!wraparound) | likely(i >= 0)) ? i : i + PyTuple_GET_SIZE(o);
          if ((!boundscheck) || likely(__Pyx_is_valid_index(n, PyTuple_GET_SIZE(o)))) {
              return __Pyx_NewRef(PyTuple_GET_ITEM(o, n));
          }
      } else
      #endif
  #endif
  #if CYTHON_USE_TYPE_SLOTS && !CYTHON_COMPILING_IN_PYPY
      {
          PyMappingMethods *mm = Py_TYPE(o)->tp_as_mapping;
          PySequenceMethods *sm = Py_TYPE(o)->tp_as_sequence;
          if (!is_list && mm && mm->mp_subscript) {
              PyObject *r, *key = PyLong_FromSsize_t(i);
              if (unlikely(!key)) return NULL;
              r = mm->mp_subscript(o, key);
              Py_DECREF(key);
              return r;
          }
          if (is_list || likely(sm && sm->sq_item)) {
              if (wraparound && unlikely(i < 0) && likely(sm->sq_length)) {
                  Py_ssize_t l = sm->sq_length(o);
                  if (likely(l >= 0)) {
                      i += l;
                  } else {
                      if (!PyErr_ExceptionMatches(PyExc_OverflowError))
                          return NULL;
                      PyErr_Clear();
                  }
              }
              return sm->sq_item(o, i);
          }
      }
  #else
      if (is_list || !PyMapping_Check(o)) {
          return PySequence_GetItem(o, i);
      }
  #endif
      (void)wraparound;
      (void)boundscheck;
      return __Pyx_GetItemInt_Generic(o, PyLong_FromSsize_t(i));
  }
  
/* RaiseKeywordRequired */
  static void __Pyx_RaiseKeywordRequired(const char* func_name, PyObject* kw_name) {
      PyErr_Format(PyExc_TypeError,
          "%s() needs keyword-only argument %U", func_name, kw_name);
  }
  
/* SetStringIndexingError (used by GetItemIntBytes) */
  static void __Pyx_SetStringIndexingError(const char* message, int has_gil) {
      if (!has_gil) {
          PyGILState_STATE gil_state = PyGILState_Ensure();
          PyErr_SetString(PyExc_IndexError, message);
          PyGILState_Release(gil_state);
      } else
          PyErr_SetString(PyExc_IndexError, message);
  }
  
/* GetItemIntBytes */
  static CYTHON_INLINE int __Pyx_GetItemInt_Bytes_Fast(PyObject* bytes, Py_ssize_t index,
                                                       int wraparound, int boundscheck, int has_gil) {
      const unsigned char *c_string;
      if (wraparound && index < 0) {
          Py_ssize_t size = __Pyx_PyBytes_GET_SIZE(bytes);
          #if !CYTHON_ASSUME_SAFE_SIZE
          if (unlikely(size < 0)) return -1;
          #endif
          index += size;
      }
      if (boundscheck) {
          Py_ssize_t size = __Pyx_PyBytes_GET_SIZE(bytes);
          #if !CYTHON_ASSUME_SAFE_SIZE
          if (unlikely(size < 0)) return -1;
          #endif
          if (unlikely(!__Pyx_is_valid_index(index, size))) {
              __Pyx_SetStringIndexingError("string index out of range", has_gil);
              return -1;
          }
      }
      c_string = __Pyx_PyBytes_AsUString(bytes);
      #if !CYTHON_ASSUME_SAFE_MACROS
      if (unlikely(!c_string)) return -1;
      #endif
      return (int) c_string[index];
  }
  
/* RaiseUnboundLocalError */
  static void __Pyx_RaiseUnboundLocalError(const char *varname) {
      PyErr_Format(PyExc_UnboundLocalError, "local variable '%s' referenced before assignment", varname);
  }
  
/* pep479 */
  static void __Pyx_Generator_Replace_StopIteration(int in_async_gen) {
      PyObject *exc, *val, *tb, *cur_exc, *new_exc;
      __Pyx_PyThreadState_declare
      int is_async_stopiteration = 0;
      CYTHON_MAYBE_UNUSED_VAR(in_async_gen);
      __Pyx_PyThreadState_assign
      cur_exc = __Pyx_PyErr_CurrentExceptionType();
      if (likely(!__Pyx_PyErr_GivenExceptionMatches(cur_exc, PyExc_StopIteration))) {
          if (in_async_gen && unlikely(__Pyx_PyErr_GivenExceptionMatches(cur_exc, PyExc_StopAsyncIteration))) {
              is_async_stopiteration = 1;
          } else {
              return;
          }
      }
      __Pyx_GetException(&exc, &val, &tb);
      Py_XDECREF(exc);
      Py_XDECREF(tb);
      new_exc = PyObject_CallFunction(PyExc_RuntimeError, "s",
          is_async_stopiteration ? "async generator raised StopAsyncIteration" :
          in_async_gen ? "async generator raised StopIteration" :
          "generator raised StopIteration");
      if (!new_exc) {
          Py_XDECREF(val);
          return;
      }
      PyException_SetCause(new_exc, val); // steals ref to val
      PyErr_SetObject(PyExc_RuntimeError, new_exc);
  }
  
/* IterFinish (used by dict_iter) */
  static CYTHON_INLINE int __Pyx_IterFinish(void) {
      PyObject* exc_type;
      __Pyx_PyThreadState_declare
      __Pyx_PyThreadState_assign
      exc_type = __Pyx_PyErr_CurrentExceptionType();
      if (unlikely(exc_type)) {
          if (unlikely(!__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration)))
              return -1;
          __Pyx_PyErr_Clear();
          return 0;
      }
      return 0;
  }
  
/* PyObjectCallNoArg (used by PyObjectCallMethod0) */
  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);
  }
  
/* PyObjectGetMethod (used by PyObjectCallMethod0) */
  #if !(CYTHON_VECTORCALL && (__PYX_LIMITED_VERSION_HEX >= 0x030C0000 || (!CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x03090000)))
  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))
  #else
          #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
  #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_GetFullyQualifiedName(tp);
      PyErr_Format(PyExc_AttributeError,
                   "'" __Pyx_FMT_TYPENAME "' object has no attribute '%U'",
                   type_name, name);
      __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;
  }
  #endif
  
/* PyObjectCallMethod0 (used by dict_iter) */
  static PyObject* __Pyx_PyObject_CallMethod0(PyObject* obj, PyObject* method_name) {
  #if CYTHON_VECTORCALL && (__PYX_LIMITED_VERSION_HEX >= 0x030C0000 || (!CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x03090000))
      PyObject *args[1] = {obj};
      (void) __Pyx_PyObject_CallOneArg;
      (void) __Pyx_PyObject_CallNoArg;
      return PyObject_VectorcallMethod(method_name, args, 1 | PY_VECTORCALL_ARGUMENTS_OFFSET, NULL);
  #else
      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;
  #endif
  }
  
/* RaiseNeedMoreValuesToUnpack (used by UnpackTuple2) */
  static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index) {
      PyErr_Format(PyExc_ValueError,
                   "need more than %" CYTHON_FORMAT_SSIZE_T "d value%.1s to unpack",
                   index, (index == 1) ? "" : "s");
  }
  
/* RaiseTooManyValuesToUnpack (used by UnpackItemEndCheck) */
  static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected) {
      PyErr_Format(PyExc_ValueError,
                   "too many values to unpack (expected %" CYTHON_FORMAT_SSIZE_T "d)", expected);
  }
  
/* UnpackItemEndCheck (used by UnpackTuple2) */
  static int __Pyx_IternextUnpackEndCheck(PyObject *retval, Py_ssize_t expected) {
      if (unlikely(retval)) {
          Py_DECREF(retval);
          __Pyx_RaiseTooManyValuesError(expected);
          return -1;
      }
      return __Pyx_IterFinish();
  }
  
/* RaiseNoneIterError (used by UnpackTupleError) */
  static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void) {
      PyErr_SetString(PyExc_TypeError, "'NoneType' object is not iterable");
  }
  
/* UnpackTupleError (used by UnpackTuple2) */
  static void __Pyx_UnpackTupleError(PyObject *t, Py_ssize_t index) {
      if (t == Py_None) {
        __Pyx_RaiseNoneNotIterableError();
      } else {
        Py_ssize_t size = __Pyx_PyTuple_GET_SIZE(t);
   #if !CYTHON_ASSUME_SAFE_SIZE
        if (unlikely(size < 0)) return;
   #endif
        if (size < index) {
          __Pyx_RaiseNeedMoreValuesError(size);
        } else {
          __Pyx_RaiseTooManyValuesError(index);
        }
      }
  }
  
/* UnpackTuple2 (used by dict_iter) */
  static CYTHON_INLINE int __Pyx_unpack_tuple2(
          PyObject* tuple, PyObject** value1, PyObject** value2, int is_tuple, int has_known_size, int decref_tuple) {
      if (likely(is_tuple || PyTuple_Check(tuple))) {
          Py_ssize_t size;
          if (has_known_size) {
              return __Pyx_unpack_tuple2_exact(tuple, value1, value2, decref_tuple);
          }
          size = __Pyx_PyTuple_GET_SIZE(tuple);
          if (likely(size == 2)) {
              return __Pyx_unpack_tuple2_exact(tuple, value1, value2, decref_tuple);
          }
          if (size >= 0) {
              __Pyx_UnpackTupleError(tuple, 2);
          }
          return -1;
      } else {
          return __Pyx_unpack_tuple2_generic(tuple, value1, value2, has_known_size, decref_tuple);
      }
  }
  static CYTHON_INLINE int __Pyx_unpack_tuple2_exact(
          PyObject* tuple, PyObject** pvalue1, PyObject** pvalue2, int decref_tuple) {
      PyObject *value1 = NULL, *value2 = NULL;
  #if CYTHON_AVOID_BORROWED_REFS || !CYTHON_ASSUME_SAFE_MACROS
      value1 = __Pyx_PySequence_ITEM(tuple, 0);  if (unlikely(!value1)) goto bad;
      value2 = __Pyx_PySequence_ITEM(tuple, 1);  if (unlikely(!value2)) goto bad;
  #else
      value1 = PyTuple_GET_ITEM(tuple, 0);  Py_INCREF(value1);
      value2 = PyTuple_GET_ITEM(tuple, 1);  Py_INCREF(value2);
  #endif
      if (decref_tuple) {
          Py_DECREF(tuple);
      }
      *pvalue1 = value1;
      *pvalue2 = value2;
      return 0;
  #if CYTHON_AVOID_BORROWED_REFS || !CYTHON_ASSUME_SAFE_MACROS
  bad:
      Py_XDECREF(value1);
      Py_XDECREF(value2);
      if (decref_tuple) { Py_XDECREF(tuple); }
      return -1;
  #endif
  }
  static int __Pyx_unpack_tuple2_generic(PyObject* tuple, PyObject** pvalue1, PyObject** pvalue2,
                                         int has_known_size, int decref_tuple) {
      Py_ssize_t index;
      PyObject *value1 = NULL, *value2 = NULL, *iter = NULL;
      iternextfunc iternext;
      iter = PyObject_GetIter(tuple);
      if (unlikely(!iter)) goto bad;
      if (decref_tuple) { Py_DECREF(tuple); tuple = NULL; }
      iternext = __Pyx_PyObject_GetIterNextFunc(iter);
      value1 = iternext(iter); if (unlikely(!value1)) { index = 0; goto unpacking_failed; }
      value2 = iternext(iter); if (unlikely(!value2)) { index = 1; goto unpacking_failed; }
      if (!has_known_size && unlikely(__Pyx_IternextUnpackEndCheck(iternext(iter), 2))) goto bad;
      Py_DECREF(iter);
      *pvalue1 = value1;
      *pvalue2 = value2;
      return 0;
  unpacking_failed:
      if (!has_known_size && __Pyx_IterFinish() == 0)
          __Pyx_RaiseNeedMoreValuesError(index);
  bad:
      Py_XDECREF(iter);
      Py_XDECREF(value1);
      Py_XDECREF(value2);
      if (decref_tuple) { Py_XDECREF(tuple); }
      return -1;
  }
  
/* dict_iter */
  #if CYTHON_COMPILING_IN_PYPY
  #include <string.h>
  #endif
  static CYTHON_INLINE PyObject* __Pyx_dict_iterator(PyObject* iterable, int is_dict, PyObject* method_name,
                                                     Py_ssize_t* p_orig_length, int* p_source_is_dict) {
      is_dict = is_dict || likely(PyDict_CheckExact(iterable));
      *p_source_is_dict = is_dict;
      if (is_dict) {
  #if !CYTHON_COMPILING_IN_PYPY
          *p_orig_length = PyDict_Size(iterable);
          Py_INCREF(iterable);
          return iterable;
  #else
          static PyObject *py_items = NULL, *py_keys = NULL, *py_values = NULL;
          PyObject **pp = NULL;
          if (method_name) {
              const char *name = PyUnicode_AsUTF8(method_name);
              if (strcmp(name, "iteritems") == 0) pp = &py_items;
              else if (strcmp(name, "iterkeys") == 0) pp = &py_keys;
              else if (strcmp(name, "itervalues") == 0) pp = &py_values;
              if (pp) {
                  if (!*pp) {
                      *pp = PyUnicode_FromString(name + 4);
                      if (!*pp)
                          return NULL;
                  }
                  method_name = *pp;
              }
          }
  #endif
      }
      *p_orig_length = 0;
      if (method_name) {
          PyObject* iter;
          iterable = __Pyx_PyObject_CallMethod0(iterable, method_name);
          if (!iterable)
              return NULL;
  #if !CYTHON_COMPILING_IN_PYPY
          if (PyTuple_CheckExact(iterable) || PyList_CheckExact(iterable))
              return iterable;
  #endif
          iter = PyObject_GetIter(iterable);
          Py_DECREF(iterable);
          return iter;
      }
      return PyObject_GetIter(iterable);
  }
  #if !CYTHON_AVOID_BORROWED_REFS
  static CYTHON_INLINE int __Pyx_dict_iter_next_source_is_dict(
          PyObject* iter_obj, CYTHON_NCP_UNUSED Py_ssize_t orig_length, CYTHON_NCP_UNUSED Py_ssize_t* ppos,
          PyObject** pkey, PyObject** pvalue, PyObject** pitem) {
      PyObject *key, *value;
      if (unlikely(orig_length != PyDict_Size(iter_obj))) {
          PyErr_SetString(PyExc_RuntimeError, "dictionary changed size during iteration");
          return -1;
      }
      if (unlikely(!PyDict_Next(iter_obj, ppos, &key, &value))) {
          return 0;
      }
      if (pitem) {
          PyObject* tuple = PyTuple_New(2);
          if (unlikely(!tuple)) {
              return -1;
          }
          Py_INCREF(key);
          Py_INCREF(value);
          #if CYTHON_ASSUME_SAFE_MACROS
          PyTuple_SET_ITEM(tuple, 0, key);
          PyTuple_SET_ITEM(tuple, 1, value);
          #else
          if (unlikely(PyTuple_SetItem(tuple, 0, key) < 0)) {
              Py_DECREF(value);
              Py_DECREF(tuple);
              return -1;
          }
          if (unlikely(PyTuple_SetItem(tuple, 1, value) < 0)) {
              Py_DECREF(tuple);
              return -1;
          }
          #endif
          *pitem = tuple;
      } else {
          if (pkey) {
              Py_INCREF(key);
              *pkey = key;
          }
          if (pvalue) {
              Py_INCREF(value);
              *pvalue = value;
          }
      }
      return 1;
  }
  #endif
  static CYTHON_INLINE int __Pyx_dict_iter_next(
          PyObject* iter_obj, CYTHON_NCP_UNUSED Py_ssize_t orig_length, CYTHON_NCP_UNUSED Py_ssize_t* ppos,
          PyObject** pkey, PyObject** pvalue, PyObject** pitem, int source_is_dict) {
      PyObject* next_item;
  #if !CYTHON_AVOID_BORROWED_REFS
      if (source_is_dict) {
          int result;
  #if PY_VERSION_HEX >= 0x030d0000 && !CYTHON_COMPILING_IN_LIMITED_API
          Py_BEGIN_CRITICAL_SECTION(iter_obj);
  #endif
          result = __Pyx_dict_iter_next_source_is_dict(iter_obj, orig_length, ppos, pkey, pvalue, pitem);
  #if PY_VERSION_HEX >= 0x030d0000 && !CYTHON_COMPILING_IN_LIMITED_API
          Py_END_CRITICAL_SECTION();
  #endif
          return result;
      } else if (PyTuple_CheckExact(iter_obj)) {
          Py_ssize_t pos = *ppos;
          Py_ssize_t tuple_size = __Pyx_PyTuple_GET_SIZE(iter_obj);
          #if !CYTHON_ASSUME_SAFE_SIZE
          if (unlikely(tuple_size < 0)) return -1;
          #endif
          if (unlikely(pos >= tuple_size)) return 0;
          *ppos = pos + 1;
          #if CYTHON_ASSUME_SAFE_MACROS
          next_item = PyTuple_GET_ITEM(iter_obj, pos);
          #else
          next_item = PyTuple_GetItem(iter_obj, pos);
          if (unlikely(!next_item)) return -1;
          #endif
          Py_INCREF(next_item);
      } else if (PyList_CheckExact(iter_obj)) {
          Py_ssize_t pos = *ppos;
          Py_ssize_t list_size = __Pyx_PyList_GET_SIZE(iter_obj);
          #if !CYTHON_ASSUME_SAFE_SIZE
          if (unlikely(list_size < 0)) return -1;
          #endif
          if (unlikely(pos >= list_size)) return 0;
          *ppos = pos + 1;
          next_item = __Pyx_PyList_GetItemRef(iter_obj, pos);
          if (unlikely(!next_item)) return -1;
      } else
  #endif
      {
          next_item = PyIter_Next(iter_obj);
          if (unlikely(!next_item)) {
              return __Pyx_IterFinish();
          }
      }
      if (pitem) {
          *pitem = next_item;
      } else if (pkey && pvalue) {
          if (__Pyx_unpack_tuple2(next_item, pkey, pvalue, source_is_dict, source_is_dict, 1))
              return -1;
      } else if (pkey) {
          *pkey = next_item;
      } else {
          *pvalue = next_item;
      }
      return 1;
  }
  
/* PyObjectFormat */
  #if CYTHON_USE_UNICODE_WRITER
  static PyObject* __Pyx_PyObject_Format(PyObject* obj, PyObject* format_spec) {
      int ret;
      _PyUnicodeWriter writer;
      if (likely(PyFloat_CheckExact(obj))) {
          _PyUnicodeWriter_Init(&writer);
          ret = _PyFloat_FormatAdvancedWriter(
              &writer,
              obj,
              format_spec, 0, PyUnicode_GET_LENGTH(format_spec));
      } else if (likely(PyLong_CheckExact(obj))) {
          _PyUnicodeWriter_Init(&writer);
          ret = _PyLong_FormatAdvancedWriter(
              &writer,
              obj,
              format_spec, 0, PyUnicode_GET_LENGTH(format_spec));
      } else {
          return PyObject_Format(obj, format_spec);
      }
      if (unlikely(ret == -1)) {
          _PyUnicodeWriter_Dealloc(&writer);
          return NULL;
      }
      return _PyUnicodeWriter_Finish(&writer);
  }
  #endif
  
/* JoinPyUnicode */
  static PyObject* __Pyx_PyUnicode_Join(PyObject** values, Py_ssize_t value_count, Py_ssize_t result_ulength,
                                        Py_UCS4 max_char) {
  #if CYTHON_USE_UNICODE_INTERNALS && CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
      PyObject *result_uval;
      int result_ukind, kind_shift;
      Py_ssize_t i, char_pos;
      void *result_udata;
      if (max_char > 1114111) max_char = 1114111;
      result_uval = PyUnicode_New(result_ulength, max_char);
      if (unlikely(!result_uval)) return NULL;
      result_ukind = (max_char <= 255) ? PyUnicode_1BYTE_KIND : (max_char <= 65535) ? PyUnicode_2BYTE_KIND : PyUnicode_4BYTE_KIND;
      kind_shift = (result_ukind == PyUnicode_4BYTE_KIND) ? 2 : result_ukind - 1;
      result_udata = PyUnicode_DATA(result_uval);
      assert(kind_shift == 2 || kind_shift == 1 || kind_shift == 0);
      if (unlikely((PY_SSIZE_T_MAX >> kind_shift) - result_ulength < 0))
          goto overflow;
      char_pos = 0;
      for (i=0; i < value_count; i++) {
          int ukind;
          Py_ssize_t ulength;
          void *udata;
          PyObject *uval = values[i];
          #if !CYTHON_COMPILING_IN_LIMITED_API
          if (__Pyx_PyUnicode_READY(uval) == (-1))
              goto bad;
          #endif
          ulength = __Pyx_PyUnicode_GET_LENGTH(uval);
          #if !CYTHON_ASSUME_SAFE_SIZE
          if (unlikely(ulength < 0)) goto bad;
          #endif
          if (unlikely(!ulength))
              continue;
          if (unlikely((PY_SSIZE_T_MAX >> kind_shift) - ulength < char_pos))
              goto overflow;
          ukind = __Pyx_PyUnicode_KIND(uval);
          udata = __Pyx_PyUnicode_DATA(uval);
          if (ukind == result_ukind) {
              memcpy((char *)result_udata + (char_pos << kind_shift), udata, (size_t) (ulength << kind_shift));
          } else {
              #if PY_VERSION_HEX >= 0x030d0000
              if (unlikely(PyUnicode_CopyCharacters(result_uval, char_pos, uval, 0, ulength) < 0)) goto bad;
              #elif CYTHON_COMPILING_IN_CPYTHON || defined(_PyUnicode_FastCopyCharacters)
              _PyUnicode_FastCopyCharacters(result_uval, char_pos, uval, 0, ulength);
              #else
              Py_ssize_t j;
              for (j=0; j < ulength; j++) {
                  Py_UCS4 uchar = __Pyx_PyUnicode_READ(ukind, udata, j);
                  __Pyx_PyUnicode_WRITE(result_ukind, result_udata, char_pos+j, uchar);
              }
              #endif
          }
          char_pos += ulength;
      }
      return result_uval;
  overflow:
      PyErr_SetString(PyExc_OverflowError, "join() result is too long for a Python string");
  bad:
      Py_DECREF(result_uval);
      return NULL;
  #else
      Py_ssize_t i;
      PyObject *result = NULL;
      PyObject *value_tuple = PyTuple_New(value_count);
      if (unlikely(!value_tuple)) return NULL;
      CYTHON_UNUSED_VAR(max_char);
      CYTHON_UNUSED_VAR(result_ulength);
      for (i=0; i<value_count; i++) {
          if (__Pyx_PyTuple_SET_ITEM(value_tuple, i, values[i]) != (0)) goto bad;
          Py_INCREF(values[i]);
      }
      result = PyUnicode_Join(__pyx_mstate_global->__pyx_empty_unicode, value_tuple);
  bad:
      Py_DECREF(value_tuple);
      return result;
  #endif
  }
  
/* AllocateExtensionType */
  static PyObject *__Pyx_AllocateExtensionType(PyTypeObject *t, int is_final) {
      if (is_final || likely(!__Pyx_PyType_HasFeature(t, Py_TPFLAGS_IS_ABSTRACT))) {
          allocfunc alloc_func = __Pyx_PyType_GetSlot(t, tp_alloc, allocfunc);
          return alloc_func(t, 0);
      } else {
          newfunc tp_new = __Pyx_PyType_TryGetSlot(&PyBaseObject_Type, tp_new, newfunc);
      #if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
          if (!tp_new) {
              PyObject *new_str = PyUnicode_FromString("__new__");
              if (likely(new_str)) {
                  PyObject *o = PyObject_CallMethodObjArgs((PyObject *)&PyBaseObject_Type, new_str, t, NULL);
                  Py_DECREF(new_str);
                  return o;
              } else
                  return NULL;
          } else
      #endif
          return tp_new(t, __pyx_mstate_global->__pyx_empty_tuple, 0);
      }
  }
  
/* CallTypeTraverse */
  #if !CYTHON_USE_TYPE_SPECS || (!CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x03090000)
  #else
  static int __Pyx_call_type_traverse(PyObject *o, int always_call, visitproc visit, void *arg) {
      #if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x03090000
      if (__Pyx_get_runtime_version() < 0x03090000) return 0;
      #endif
      if (!always_call) {
          PyTypeObject *base = __Pyx_PyObject_GetSlot(o, tp_base, PyTypeObject*);
          unsigned long flags = PyType_GetFlags(base);
          if (flags & Py_TPFLAGS_HEAPTYPE) {
              return 0;
          }
      }
      Py_VISIT((PyObject*)Py_TYPE(o));
      return 0;
  }
  #endif
  
/* LimitedApiGetTypeDict (used by SetItemOnTypeDict) */
  #if CYTHON_COMPILING_IN_LIMITED_API
  static Py_ssize_t __Pyx_GetTypeDictOffset(void) {
      PyObject *tp_dictoffset_o;
      Py_ssize_t tp_dictoffset;
      tp_dictoffset_o = PyObject_GetAttrString((PyObject*)(&PyType_Type), "__dictoffset__");
      if (unlikely(!tp_dictoffset_o)) return -1;
      tp_dictoffset = PyLong_AsSsize_t(tp_dictoffset_o);
      Py_DECREF(tp_dictoffset_o);
      if (unlikely(tp_dictoffset == 0)) {
          PyErr_SetString(
              PyExc_TypeError,
              "'type' doesn't have a dictoffset");
          return -1;
      } else if (unlikely(tp_dictoffset < 0)) {
          PyErr_SetString(
              PyExc_TypeError,
              "'type' has an unexpected negative dictoffset. "
              "Please report this as Cython bug");
          return -1;
      }
      return tp_dictoffset;
  }
  static PyObject *__Pyx_GetTypeDict(PyTypeObject *tp) {
      static Py_ssize_t tp_dictoffset = 0;
      if (unlikely(tp_dictoffset == 0)) {
          tp_dictoffset = __Pyx_GetTypeDictOffset();
          if (unlikely(tp_dictoffset == -1 && PyErr_Occurred())) {
              tp_dictoffset = 0; // try again next time?
              return NULL;
          }
      }
      return *(PyObject**)((char*)tp + tp_dictoffset);
  }
  #endif
  
/* SetItemOnTypeDict (used by FixUpExtensionType) */
  static int __Pyx__SetItemOnTypeDict(PyTypeObject *tp, PyObject *k, PyObject *v) {
      int result;
      PyObject *tp_dict;
  #if CYTHON_COMPILING_IN_LIMITED_API
      tp_dict = __Pyx_GetTypeDict(tp);
      if (unlikely(!tp_dict)) return -1;
  #else
      tp_dict = tp->tp_dict;
  #endif
      result = PyDict_SetItem(tp_dict, k, v);
      if (likely(!result)) {
          PyType_Modified(tp);
          if (unlikely(PyObject_HasAttr(v, __pyx_mstate_global->__pyx_n_u_set_name))) {
              PyObject *setNameResult = PyObject_CallMethodObjArgs(v, __pyx_mstate_global->__pyx_n_u_set_name,  (PyObject *) tp, k, NULL);
              if (!setNameResult) return -1;
              Py_DECREF(setNameResult);
          }
      }
      return result;
  }
  
/* FixUpExtensionType */
  static int __Pyx_fix_up_extension_type_from_spec(PyType_Spec *spec, PyTypeObject *type) {
  #if __PYX_LIMITED_VERSION_HEX > 0x030900B1
      CYTHON_UNUSED_VAR(spec);
      CYTHON_UNUSED_VAR(type);
      CYTHON_UNUSED_VAR(__Pyx__SetItemOnTypeDict);
  #else
      const PyType_Slot *slot = spec->slots;
      int changed = 0;
  #if !CYTHON_COMPILING_IN_LIMITED_API
      while (slot && slot->slot && slot->slot != Py_tp_members)
          slot++;
      if (slot && slot->slot == Py_tp_members) {
  #if !CYTHON_COMPILING_IN_CPYTHON
          const
  #endif  // !CYTHON_COMPILING_IN_CPYTHON)
              PyMemberDef *memb = (PyMemberDef*) slot->pfunc;
          while (memb && memb->name) {
              if (memb->name[0] == '_' && memb->name[1] == '_') {
                  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);
                      type->tp_vectorcall_offset = memb->offset;
                      changed = 1;
                  }
  #endif  // CYTHON_METH_FASTCALL
  #if !CYTHON_COMPILING_IN_PYPY
                  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;
                      int set_item_result = PyDict_SetItem(type->tp_dict, PyDescr_NAME(descr), descr);
                      Py_DECREF(descr);
                      if (unlikely(set_item_result < 0)) {
                          return -1;
                      }
                      changed = 1;
                  }
  #endif  // !CYTHON_COMPILING_IN_PYPY
              }
              memb++;
          }
      }
  #endif  // !CYTHON_COMPILING_IN_LIMITED_API
  #if !CYTHON_COMPILING_IN_PYPY
      slot = spec->slots;
      while (slot && slot->slot && slot->slot != Py_tp_getset)
          slot++;
      if (slot && slot->slot == Py_tp_getset) {
          PyGetSetDef *getset = (PyGetSetDef*) slot->pfunc;
          while (getset && getset->name) {
              if (getset->name[0] == '_' && getset->name[1] == '_' && strcmp(getset->name, "__module__") == 0) {
                  PyObject *descr = PyDescr_NewGetSet(type, getset);
                  if (unlikely(!descr))
                      return -1;
                  #if CYTHON_COMPILING_IN_LIMITED_API
                  PyObject *pyname = PyUnicode_FromString(getset->name);
                  if (unlikely(!pyname)) {
                      Py_DECREF(descr);
                      return -1;
                  }
                  int set_item_result = __Pyx_SetItemOnTypeDict(type, pyname, descr);
                  Py_DECREF(pyname);
                  #else
                  CYTHON_UNUSED_VAR(__Pyx__SetItemOnTypeDict);
                  int set_item_result = PyDict_SetItem(type->tp_dict, PyDescr_NAME(descr), descr);
                  #endif
                  Py_DECREF(descr);
                  if (unlikely(set_item_result < 0)) {
                      return -1;
                  }
                  changed = 1;
              }
              ++getset;
          }
      }
  #else
      CYTHON_UNUSED_VAR(__Pyx__SetItemOnTypeDict);
  #endif  // !CYTHON_COMPILING_IN_PYPY
      if (changed)
          PyType_Modified(type);
  #endif  // PY_VERSION_HEX > 0x030900B1
      return 0;
  }
  
/* ValidateBasesTuple (used by PyType_Ready) */
  #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_SIZE
      n = PyTuple_GET_SIZE(bases);
  #else
      n = PyTuple_Size(bases);
      if (unlikely(n < 0)) return -1;
  #endif
      for (i = 1; i < n; i++)
      {
          PyTypeObject *b;
  #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
          b = (PyTypeObject*) b0;
          if (!__Pyx_PyType_HasFeature(b, Py_TPFLAGS_HEAPTYPE))
          {
              __Pyx_TypeName b_name = __Pyx_PyType_GetFullyQualifiedName(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
              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_GetFullyQualifiedName(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
                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 */
  CYTHON_UNUSED static int __Pyx_PyType_HasMultipleInheritance(PyTypeObject *t) {
      while (t) {
          PyObject *bases = __Pyx_PyType_GetSlot(t, tp_bases, PyObject*);
          if (bases) {
              return 1;
          }
          t = __Pyx_PyType_GetSlot(t, tp_base, PyTypeObject*);
      }
      return 0;
  }
  static int __Pyx_PyType_Ready(PyTypeObject *t) {
  #if CYTHON_USE_TYPE_SPECS || !CYTHON_COMPILING_IN_CPYTHON || 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;
      if (!__Pyx_PyType_HasMultipleInheritance(t)) {
          return PyType_Ready(t);
      }
      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 !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 (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM+0 >= 0x07030400) &&\
                  !CYTHON_COMPILING_IN_GRAAL
          gc = PyImport_GetModule(__pyx_mstate_global->__pyx_kp_u_gc);
          #endif
          if (unlikely(!gc)) gc = PyImport_Import(__pyx_mstate_global->__pyx_kp_u_gc);
          if (unlikely(!gc)) return -1;
          py_status = __Pyx_PyObject_CallMethod0(gc, __pyx_mstate_global->__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_mstate_global->__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 !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_mstate_global->__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
  }
  
/* DelItemOnTypeDict (used by SetupReduce) */
  static int __Pyx__DelItemOnTypeDict(PyTypeObject *tp, PyObject *k) {
      int result;
      PyObject *tp_dict;
  #if CYTHON_COMPILING_IN_LIMITED_API
      tp_dict = __Pyx_GetTypeDict(tp);
      if (unlikely(!tp_dict)) return -1;
  #else
      tp_dict = tp->tp_dict;
  #endif
      result = PyDict_DelItem(tp_dict, k);
      if (likely(!result)) PyType_Modified(tp);
      return result;
  }
  
/* SetupReduce */
  static int __Pyx_setup_reduce_is_named(PyObject* meth, PyObject* name) {
    int ret;
    PyObject *name_attr;
    name_attr = __Pyx_PyObject_GetAttrStrNoError(meth, __pyx_mstate_global->__pyx_n_u_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_mstate_global->__pyx_n_u_getstate);
  #else
      getstate = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_mstate_global->__pyx_n_u_getstate);
      if (!getstate && PyErr_Occurred()) {
          goto __PYX_BAD;
      }
  #endif
      if (getstate) {
  #if CYTHON_USE_PYTYPE_LOOKUP
          object_getstate = _PyType_Lookup(&PyBaseObject_Type, __pyx_mstate_global->__pyx_n_u_getstate);
  #else
          object_getstate = __Pyx_PyObject_GetAttrStrNoError((PyObject*)&PyBaseObject_Type, __pyx_mstate_global->__pyx_n_u_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_mstate_global->__pyx_n_u_reduce_ex); if (!object_reduce_ex) goto __PYX_BAD;
  #else
      object_reduce_ex = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_mstate_global->__pyx_n_u_reduce_ex); if (!object_reduce_ex) goto __PYX_BAD;
  #endif
      reduce_ex = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_mstate_global->__pyx_n_u_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_mstate_global->__pyx_n_u_reduce); if (!object_reduce) goto __PYX_BAD;
  #else
          object_reduce = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_mstate_global->__pyx_n_u_reduce); if (!object_reduce) goto __PYX_BAD;
  #endif
          reduce = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_mstate_global->__pyx_n_u_reduce); if (unlikely(!reduce)) goto __PYX_BAD;
          if (reduce == object_reduce || __Pyx_setup_reduce_is_named(reduce, __pyx_mstate_global->__pyx_n_u_reduce_cython)) {
              reduce_cython = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_mstate_global->__pyx_n_u_reduce_cython);
              if (likely(reduce_cython)) {
                  ret = __Pyx_SetItemOnTypeDict((PyTypeObject*)type_obj, __pyx_mstate_global->__pyx_n_u_reduce, reduce_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
                  ret = __Pyx_DelItemOnTypeDict((PyTypeObject*)type_obj, __pyx_mstate_global->__pyx_n_u_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_mstate_global->__pyx_n_u_setstate);
              if (!setstate) PyErr_Clear();
              if (!setstate || __Pyx_setup_reduce_is_named(setstate, __pyx_mstate_global->__pyx_n_u_setstate_cython)) {
                  setstate_cython = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_mstate_global->__pyx_n_u_setstate_cython);
                  if (likely(setstate_cython)) {
                      ret = __Pyx_SetItemOnTypeDict((PyTypeObject*)type_obj, __pyx_mstate_global->__pyx_n_u_setstate, setstate_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
                      ret = __Pyx_DelItemOnTypeDict((PyTypeObject*)type_obj, __pyx_mstate_global->__pyx_n_u_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_GetFullyQualifiedName((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;
  }
  
/* TypeImport */
  #ifndef __PYX_HAVE_RT_ImportType_3_2_4
  #define __PYX_HAVE_RT_ImportType_3_2_4
  static PyTypeObject *__Pyx_ImportType_3_2_4(PyObject *module, const char *module_name, const char *class_name,
      size_t size, size_t alignment, enum __Pyx_ImportType_CheckSize_3_2_4 check_size)
  {
      PyObject *result = 0;
      Py_ssize_t basicsize;
      Py_ssize_t itemsize;
  #if defined(Py_LIMITED_API) || (defined(CYTHON_COMPILING_IN_LIMITED_API) && CYTHON_COMPILING_IN_LIMITED_API)
      PyObject *py_basicsize;
      PyObject *py_itemsize;
  #endif
      result = PyObject_GetAttrString(module, class_name);
      if (!result)
          goto bad;
      if (!PyType_Check(result)) {
          PyErr_Format(PyExc_TypeError,
              "%.200s.%.200s is not a type object",
              module_name, class_name);
          goto bad;
      }
  #if !( defined(Py_LIMITED_API) || (defined(CYTHON_COMPILING_IN_LIMITED_API) && CYTHON_COMPILING_IN_LIMITED_API) )
      basicsize = ((PyTypeObject *)result)->tp_basicsize;
      itemsize = ((PyTypeObject *)result)->tp_itemsize;
  #else
      if (size == 0) {
          return (PyTypeObject *)result;
      }
      py_basicsize = PyObject_GetAttrString(result, "__basicsize__");
      if (!py_basicsize)
          goto bad;
      basicsize = PyLong_AsSsize_t(py_basicsize);
      Py_DECREF(py_basicsize);
      py_basicsize = 0;
      if (basicsize == (Py_ssize_t)-1 && PyErr_Occurred())
          goto bad;
      py_itemsize = PyObject_GetAttrString(result, "__itemsize__");
      if (!py_itemsize)
          goto bad;
      itemsize = PyLong_AsSsize_t(py_itemsize);
      Py_DECREF(py_itemsize);
      py_itemsize = 0;
      if (itemsize == (Py_ssize_t)-1 && PyErr_Occurred())
          goto bad;
  #endif
      if (itemsize) {
          if (size % alignment) {
              alignment = size % alignment;
          }
          if (itemsize < (Py_ssize_t)alignment)
              itemsize = (Py_ssize_t)alignment;
      }
      if ((size_t)(basicsize + itemsize) < size) {
          PyErr_Format(PyExc_ValueError,
              "%.200s.%.200s size changed, may indicate binary incompatibility. "
              "Expected %zd from C header, got %zd from PyObject",
              module_name, class_name, size, basicsize+itemsize);
          goto bad;
      }
      if (check_size == __Pyx_ImportType_CheckSize_Error_3_2_4 &&
              ((size_t)basicsize > size || (size_t)(basicsize + itemsize) < size)) {
          PyErr_Format(PyExc_ValueError,
              "%.200s.%.200s size changed, may indicate binary incompatibility. "
              "Expected %zd from C header, got %zd-%zd from PyObject",
              module_name, class_name, size, basicsize, basicsize+itemsize);
          goto bad;
      }
      else if (check_size == __Pyx_ImportType_CheckSize_Warn_3_2_4 && (size_t)basicsize > size) {
          if (PyErr_WarnFormat(NULL, 0,
                  "%.200s.%.200s size changed, may indicate binary incompatibility. "
                  "Expected %zd from C header, got %zd from PyObject",
                  module_name, class_name, size, basicsize) < 0) {
              goto bad;
          }
      }
      return (PyTypeObject *)result;
  bad:
      Py_XDECREF(result);
      return NULL;
  }
  #endif
  
/* HasAttr (used by ImportImpl) */
  #if __PYX_LIMITED_VERSION_HEX < 0x030d0000
  static CYTHON_INLINE int __Pyx_HasAttr(PyObject *o, PyObject *n) {
      PyObject *r;
      if (unlikely(!PyUnicode_Check(n))) {
          PyErr_SetString(PyExc_TypeError,
                          "hasattr(): attribute name must be string");
          return -1;
      }
      r = __Pyx_PyObject_GetAttrStrNoError(o, n);
      if (!r) {
          return (unlikely(PyErr_Occurred())) ? -1 : 0;
      } else {
          Py_DECREF(r);
          return 1;
      }
  }
  #endif
  
/* ImportImpl (used by Import) */
  static int __Pyx__Import_GetModule(PyObject *qualname, PyObject **module) {
      PyObject *imported_module = PyImport_GetModule(qualname);
      if (unlikely(!imported_module)) {
          *module = NULL;
          if (PyErr_Occurred()) {
              return -1;
          }
          return 0;
      }
      *module = imported_module;
      return 1;
  }
  static int __Pyx__Import_Lookup(PyObject *qualname, PyObject *const *imported_names, Py_ssize_t len_imported_names, PyObject **module) {
      PyObject *imported_module;
      PyObject *top_level_package_name;
      Py_ssize_t i;
      int status, module_found;
      Py_ssize_t dot_index;
      module_found = __Pyx__Import_GetModule(qualname, &imported_module);
      if (unlikely(!module_found || module_found == -1)) {
          *module = NULL;
          return module_found;
      }
      if (imported_names) {
          for (i = 0; i < len_imported_names; i++) {
              PyObject *imported_name = imported_names[i];
  #if __PYX_LIMITED_VERSION_HEX < 0x030d0000
              int has_imported_attribute = PyObject_HasAttr(imported_module, imported_name);
  #else
              int has_imported_attribute = PyObject_HasAttrWithError(imported_module, imported_name);
              if (unlikely(has_imported_attribute == -1)) goto error;
  #endif
              if (!has_imported_attribute) {
                  goto not_found;
              }
          }
          *module = imported_module;
          return 1;
      }
      dot_index = PyUnicode_FindChar(qualname, '.', 0, PY_SSIZE_T_MAX, 1);
      if (dot_index == -1) {
          *module = imported_module;
          return 1;
      }
      if (unlikely(dot_index == -2)) goto error;
      top_level_package_name = PyUnicode_Substring(qualname, 0, dot_index);
      if (unlikely(!top_level_package_name)) goto error;
      Py_DECREF(imported_module);
      status = __Pyx__Import_GetModule(top_level_package_name, module);
      Py_DECREF(top_level_package_name);
      return status;
  error:
      Py_DECREF(imported_module);
      *module = NULL;
      return -1;
  not_found:
      Py_DECREF(imported_module);
      *module = NULL;
      return 0;
  }
  static PyObject *__Pyx__Import(PyObject *name, PyObject *const *imported_names, Py_ssize_t len_imported_names, PyObject *qualname, PyObject *moddict, int level) {
      PyObject *module = 0;
      PyObject *empty_dict = 0;
      PyObject *from_list = 0;
      int module_found;
      if (!qualname) {
          qualname = name;
      }
      module_found = __Pyx__Import_Lookup(qualname, imported_names, len_imported_names, &module);
      if (likely(module_found == 1)) {
          return module;
      } else if (unlikely(module_found == -1)) {
          return NULL;
      }
      empty_dict = PyDict_New();
      if (unlikely(!empty_dict))
          goto bad;
      if (imported_names) {
  #if CYTHON_COMPILING_IN_CPYTHON
          from_list = __Pyx_PyList_FromArray(imported_names, len_imported_names);
          if (unlikely(!from_list))
              goto bad;
  #else
          from_list = PyList_New(len_imported_names);
          if (unlikely(!from_list)) goto bad;
          for (Py_ssize_t i=0; i<len_imported_names; ++i) {
              if (PyList_SetItem(from_list, i, __Pyx_NewRef(imported_names[i])) < 0) goto bad;
          }
  #endif
      }
      if (level == -1) {
          const char* package_sep = strchr(__Pyx_MODULE_NAME, '.');
          if (package_sep != (0)) {
              module = PyImport_ImportModuleLevelObject(
                  name, moddict, empty_dict, from_list, 1);
              if (unlikely(!module)) {
                  if (unlikely(!PyErr_ExceptionMatches(PyExc_ImportError)))
                      goto bad;
                  PyErr_Clear();
              }
          }
          level = 0;
      }
      if (!module) {
          module = PyImport_ImportModuleLevelObject(
              name, moddict, empty_dict, from_list, level);
      }
  bad:
      Py_XDECREF(from_list);
      Py_XDECREF(empty_dict);
      return module;
  }
  
/* Import */
  static PyObject *__Pyx_Import(PyObject *name, PyObject *const *imported_names, Py_ssize_t len_imported_names, PyObject *qualname, int level) {
      return __Pyx__Import(name, imported_names, len_imported_names, qualname, __pyx_mstate_global->__pyx_d, level);
  }
  
/* dict_setdefault (used by FetchCommonType) */
  static CYTHON_INLINE PyObject *__Pyx_PyDict_SetDefault(PyObject *d, PyObject *key, PyObject *default_value) {
      PyObject* value;
  #if __PYX_LIMITED_VERSION_HEX >= 0x030F0000 || (!CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x030d00A4)
      PyDict_SetDefaultRef(d, key, default_value, &value);
  #elif CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX >= 0x030C0000
      PyObject *args[] = {d, key, default_value};
      value = PyObject_VectorcallMethod(__pyx_mstate_global->__pyx_n_u_setdefault, args, 3 | PY_VECTORCALL_ARGUMENTS_OFFSET, NULL);
  #elif CYTHON_COMPILING_IN_LIMITED_API
      value = PyObject_CallMethodObjArgs(d, __pyx_mstate_global->__pyx_n_u_setdefault, key, default_value, NULL);
  #else
      value = PyDict_SetDefault(d, key, default_value);
      if (unlikely(!value)) return NULL;
      Py_INCREF(value);
  #endif
      return value;
  }
  
/* AddModuleRef (used by FetchSharedCythonModule) */
  #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    static PyObject *__Pyx_PyImport_AddModuleObjectRef(PyObject *name) {
        PyObject *module_dict = PyImport_GetModuleDict();
        PyObject *m;
        if (PyMapping_GetOptionalItem(module_dict, name, &m) < 0) {
            return NULL;
        }
        if (m != NULL && PyModule_Check(m)) {
            return m;
        }
        Py_XDECREF(m);
        m = PyModule_NewObject(name);
        if (m == NULL)
            return NULL;
        if (PyDict_CheckExact(module_dict)) {
            PyObject *new_m;
            (void)PyDict_SetDefaultRef(module_dict, name, m, &new_m);
            Py_DECREF(m);
            return new_m;
        } else {
             if (PyObject_SetItem(module_dict, name, m) != 0) {
                  Py_DECREF(m);
                  return NULL;
              }
              return m;
        }
    }
    static PyObject *__Pyx_PyImport_AddModuleRef(const char *name) {
        PyObject *py_name = PyUnicode_FromString(name);
        if (!py_name) return NULL;
        PyObject *module = __Pyx_PyImport_AddModuleObjectRef(py_name);
        Py_DECREF(py_name);
        return module;
    }
  #elif __PYX_LIMITED_VERSION_HEX >= 0x030d0000
    #define __Pyx_PyImport_AddModuleRef(name) PyImport_AddModuleRef(name)
  #else
    static PyObject *__Pyx_PyImport_AddModuleRef(const char *name) {
        PyObject *module = PyImport_AddModule(name);
        Py_XINCREF(module);
        return module;
    }
  #endif
  
/* FetchSharedCythonModule (used by FetchCommonType) */
  static PyObject *__Pyx_FetchSharedCythonABIModule(void) {
      return __Pyx_PyImport_AddModuleRef(__PYX_ABI_MODULE_NAME);
  }
  
/* FetchCommonType (used by CommonTypesMetaclass) */
  #if __PYX_LIMITED_VERSION_HEX < 0x030C0000
  static PyObject* __Pyx_PyType_FromMetaclass(PyTypeObject *metaclass, PyObject *module, PyType_Spec *spec, PyObject *bases) {
      PyObject *result = __Pyx_PyType_FromModuleAndSpec(module, spec, bases);
      if (result && metaclass) {
          PyObject *old_tp = (PyObject*)Py_TYPE(result);
      Py_INCREF((PyObject*)metaclass);
  #if __PYX_LIMITED_VERSION_HEX >= 0x03090000
          Py_SET_TYPE(result, metaclass);
  #else
          result->ob_type = metaclass;
  #endif
          Py_DECREF(old_tp);
      }
      return result;
  }
  #else
  #define __Pyx_PyType_FromMetaclass(me, mo, s, b) PyType_FromMetaclass(me, mo, s, b)
  #endif
  static int __Pyx_VerifyCachedType(PyObject *cached_type,
                                 const char *name,
                                 Py_ssize_t expected_basicsize) {
      Py_ssize_t basicsize;
      if (!PyType_Check(cached_type)) {
          PyErr_Format(PyExc_TypeError,
              "Shared Cython type %.200s is not a type object", name);
          return -1;
      }
      if (expected_basicsize == 0) {
          return 0; // size is inherited, nothing useful to check
      }
  #if CYTHON_COMPILING_IN_LIMITED_API
      PyObject *py_basicsize;
      py_basicsize = PyObject_GetAttrString(cached_type, "__basicsize__");
      if (unlikely(!py_basicsize)) return -1;
      basicsize = PyLong_AsSsize_t(py_basicsize);
      Py_DECREF(py_basicsize);
      py_basicsize = NULL;
      if (unlikely(basicsize == (Py_ssize_t)-1) && PyErr_Occurred()) return -1;
  #else
      basicsize = ((PyTypeObject*) cached_type)->tp_basicsize;
  #endif
      if (basicsize != expected_basicsize) {
          PyErr_Format(PyExc_TypeError,
              "Shared Cython type %.200s has the wrong size, try recompiling",
              name);
          return -1;
      }
      return 0;
  }
  static PyTypeObject *__Pyx_FetchCommonTypeFromSpec(PyTypeObject *metaclass, PyObject *module, PyType_Spec *spec, PyObject *bases) {
      PyObject *abi_module = NULL, *cached_type = NULL, *abi_module_dict, *new_cached_type, *py_object_name;
      int get_item_ref_result;
      const char* object_name = strrchr(spec->name, '.');
      object_name = object_name ? object_name+1 : spec->name;
      py_object_name = PyUnicode_FromString(object_name);
      if (!py_object_name) return NULL;
      abi_module = __Pyx_FetchSharedCythonABIModule();
      if (!abi_module) goto done;
      abi_module_dict = PyModule_GetDict(abi_module);
      if (!abi_module_dict) goto done;
      get_item_ref_result = __Pyx_PyDict_GetItemRef(abi_module_dict, py_object_name, &cached_type);
      if (get_item_ref_result == 1) {
          if (__Pyx_VerifyCachedType(
                cached_type,
                object_name,
                spec->basicsize) < 0) {
              goto bad;
          }
          goto done;
      } else if (unlikely(get_item_ref_result == -1)) {
          goto bad;
      }
      cached_type = __Pyx_PyType_FromMetaclass(
          metaclass,
          CYTHON_USE_MODULE_STATE ? module : 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;
      new_cached_type = __Pyx_PyDict_SetDefault(abi_module_dict, py_object_name, cached_type);
      if (unlikely(new_cached_type != cached_type)) {
          if (unlikely(!new_cached_type)) goto bad;
          Py_DECREF(cached_type);
          cached_type = new_cached_type;
          if (__Pyx_VerifyCachedType(
                  cached_type,
                  object_name,
                  spec->basicsize) < 0) {
              goto bad;
          }
          goto done;
      } else {
          Py_DECREF(new_cached_type);
      }
  done:
      Py_XDECREF(abi_module);
      Py_DECREF(py_object_name);
      assert(cached_type == NULL || PyType_Check(cached_type));
      return (PyTypeObject *) cached_type;
  bad:
      Py_XDECREF(cached_type);
      cached_type = NULL;
      goto done;
  }
  
/* CommonTypesMetaclass (used by CythonFunctionShared) */
  static PyObject* __pyx_CommonTypesMetaclass_get_module(CYTHON_UNUSED PyObject *self, CYTHON_UNUSED void* context) {
      return PyUnicode_FromString(__PYX_ABI_MODULE_NAME);
  }
  #if __PYX_LIMITED_VERSION_HEX < 0x030A0000
  static PyObject* __pyx_CommonTypesMetaclass_call(CYTHON_UNUSED PyObject *self, CYTHON_UNUSED PyObject *args, CYTHON_UNUSED PyObject *kwds) {
      PyErr_SetString(PyExc_TypeError, "Cannot instantiate Cython internal types");
      return NULL;
  }
  static int __pyx_CommonTypesMetaclass_setattr(CYTHON_UNUSED PyObject *self, CYTHON_UNUSED PyObject *attr, CYTHON_UNUSED PyObject *value) {
      PyErr_SetString(PyExc_TypeError, "Cython internal types are immutable");
      return -1;
  }
  #endif
  static PyGetSetDef __pyx_CommonTypesMetaclass_getset[] = {
      {"__module__", __pyx_CommonTypesMetaclass_get_module, NULL, NULL, NULL},
      {0, 0, 0, 0, 0}
  };
  static PyType_Slot __pyx_CommonTypesMetaclass_slots[] = {
      {Py_tp_getset, (void *)__pyx_CommonTypesMetaclass_getset},
      #if __PYX_LIMITED_VERSION_HEX < 0x030A0000
      {Py_tp_call, (void*)__pyx_CommonTypesMetaclass_call},
      {Py_tp_new, (void*)__pyx_CommonTypesMetaclass_call},
      {Py_tp_setattro, (void*)__pyx_CommonTypesMetaclass_setattr},
      #endif
      {0, 0}
  };
  static PyType_Spec __pyx_CommonTypesMetaclass_spec = {
      __PYX_TYPE_MODULE_PREFIX "_common_types_metatype",
      0,
      0,
      Py_TPFLAGS_IMMUTABLETYPE |
      Py_TPFLAGS_DISALLOW_INSTANTIATION |
      Py_TPFLAGS_DEFAULT,
      __pyx_CommonTypesMetaclass_slots
  };
  static int __pyx_CommonTypesMetaclass_init(PyObject *module) {
      __pyx_mstatetype *mstate = __Pyx_PyModule_GetState(module);
      PyObject *bases = PyTuple_Pack(1, &PyType_Type);
      if (unlikely(!bases)) {
          return -1;
      }
      mstate->__pyx_CommonTypesMetaclassType = __Pyx_FetchCommonTypeFromSpec(NULL, module, &__pyx_CommonTypesMetaclass_spec, bases);
      Py_DECREF(bases);
      if (unlikely(mstate->__pyx_CommonTypesMetaclassType == NULL)) {
          return -1;
      }
      return 0;
  }
  
/* PyMethodNew (used by CythonFunctionShared) */
  #if CYTHON_COMPILING_IN_LIMITED_API
  static PyObject *__Pyx_PyMethod_New(PyObject *func, PyObject *self, PyObject *typ) {
      PyObject *result;
      CYTHON_UNUSED_VAR(typ);
      if (!self)
          return __Pyx_NewRef(func);
      #if __PYX_LIMITED_VERSION_HEX >= 0x030C0000
      {
          PyObject *args[] = {func, self};
          result = PyObject_Vectorcall(__pyx_mstate_global->__Pyx_CachedMethodType, args, 2, NULL);
      }
      #else
      result = PyObject_CallFunctionObjArgs(__pyx_mstate_global->__Pyx_CachedMethodType, func, self, NULL);
      #endif
      return result;
  }
  #else
  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);
  }
  #endif
  
/* PyVectorcallFastCallDict (used by CythonFunctionShared) */
  #if CYTHON_METH_FASTCALL && CYTHON_VECTORCALL
  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;
      #if CYTHON_AVOID_BORROWED_REFS
      PyObject *pos;
      #else
      Py_ssize_t pos;
      #endif
      size_t j;
      PyObject *key, *value;
      unsigned long keys_are_strings;
      #if !CYTHON_ASSUME_SAFE_SIZE
      Py_ssize_t nkw = PyDict_Size(kw);
      if (unlikely(nkw == -1)) return NULL;
      #else
      Py_ssize_t nkw = PyDict_GET_SIZE(kw);
      #endif
      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 = 0;
      i = 0;
      keys_are_strings = Py_TPFLAGS_UNICODE_SUBCLASS;
      while (__Pyx_PyDict_NextRef(kw, &pos, &key, &value)) {
          keys_are_strings &=
          #if CYTHON_COMPILING_IN_LIMITED_API
              PyType_GetFlags(Py_TYPE(key));
          #else
              Py_TYPE(key)->tp_flags;
          #endif
          #if !CYTHON_ASSUME_SAFE_MACROS
          if (unlikely(PyTuple_SetItem(kwnames, i, key) < 0)) goto cleanup;
          #else
          PyTuple_SET_ITEM(kwnames, i, key);
          #endif
          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:
      #if CYTHON_AVOID_BORROWED_REFS
      Py_DECREF(pos);
      #endif
      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)
  {
      Py_ssize_t kw_size =
          likely(kw == NULL) ?
          0 :
  #if !CYTHON_ASSUME_SAFE_SIZE
          PyDict_Size(kw);
  #else
          PyDict_GET_SIZE(kw);
  #endif
      if (kw_size == 0) {
          return vc(func, args, nargs, NULL);
      }
  #if !CYTHON_ASSUME_SAFE_SIZE
      else if (unlikely(kw_size == -1)) {
          return NULL;
      }
  #endif
      return __Pyx_PyVectorcall_FastCallDict_kw(func, vc, args, nargs, kw);
  }
  #endif
  
/* CythonFunctionShared (used by CythonFunction) */
  #if CYTHON_COMPILING_IN_LIMITED_API
  static CYTHON_INLINE int __Pyx__IsSameCyOrCFunctionNoMethod(PyObject *func, void (*cfunc)(void)) {
      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;
  }
  static CYTHON_INLINE int __Pyx__IsSameCyOrCFunction(PyObject *func, void (*cfunc)(void)) {
      if ((PyObject*)Py_TYPE(func) == __pyx_mstate_global->__Pyx_CachedMethodType) {
          int result;
          PyObject *newFunc = PyObject_GetAttr(func, __pyx_mstate_global->__pyx_n_u_func);
          if (unlikely(!newFunc)) {
              PyErr_Clear(); // It's only an optimization, so don't throw an error
              return 0;
          }
          result = __Pyx__IsSameCyOrCFunctionNoMethod(newFunc, cfunc);
          Py_DECREF(newFunc);
          return result;
      }
      return __Pyx__IsSameCyOrCFunctionNoMethod(func, cfunc);
  }
  #else
  static CYTHON_INLINE int __Pyx__IsSameCyOrCFunction(PyObject *func, void (*cfunc)(void)) {
      if (PyMethod_Check(func)) {
          func = PyMethod_GET_FUNCTION(func);
      }
      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_locked(__pyx_CyFunctionObject *op)
  {
      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) {
              op->func_doc = PyUnicode_FromString(((PyCFunctionObject*)op)->m_ml->ml_doc);
              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 PyObject *
  __Pyx_CyFunction_get_doc(__pyx_CyFunctionObject *op, void *closure) {
      PyObject *result;
      CYTHON_UNUSED_VAR(closure);
      __Pyx_BEGIN_CRITICAL_SECTION(op);
      result = __Pyx_CyFunction_get_doc_locked(op);
      __Pyx_END_CRITICAL_SECTION();
      return result;
  }
  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_BEGIN_CRITICAL_SECTION(op);
      __Pyx_Py_XDECREF_SET(op->func_doc, value);
      __Pyx_END_CRITICAL_SECTION();
      return 0;
  }
  static PyObject *
  __Pyx_CyFunction_get_name_locked(__pyx_CyFunctionObject *op)
  {
      if (unlikely(op->func_name == NULL)) {
  #if CYTHON_COMPILING_IN_LIMITED_API
          op->func_name = PyObject_GetAttrString(op->func, "__name__");
  #else
          op->func_name = PyUnicode_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 PyObject *
  __Pyx_CyFunction_get_name(__pyx_CyFunctionObject *op, void *context)
  {
      PyObject *result = NULL;
      CYTHON_UNUSED_VAR(context);
      __Pyx_BEGIN_CRITICAL_SECTION(op);
      result = __Pyx_CyFunction_get_name_locked(op);
      __Pyx_END_CRITICAL_SECTION();
      return result;
  }
  static int
  __Pyx_CyFunction_set_name(__pyx_CyFunctionObject *op, PyObject *value, void *context)
  {
      CYTHON_UNUSED_VAR(context);
      if (unlikely(value == NULL || !PyUnicode_Check(value))) {
          PyErr_SetString(PyExc_TypeError,
                          "__name__ must be set to a string object");
          return -1;
      }
      Py_INCREF(value);
      __Pyx_BEGIN_CRITICAL_SECTION(op);
      __Pyx_Py_XDECREF_SET(op->func_name, value);
      __Pyx_END_CRITICAL_SECTION();
      return 0;
  }
  static PyObject *
  __Pyx_CyFunction_get_qualname(__pyx_CyFunctionObject *op, void *context)
  {
      CYTHON_UNUSED_VAR(context);
      PyObject *result;
      __Pyx_BEGIN_CRITICAL_SECTION(op);
      Py_INCREF(op->func_qualname);
      result = op->func_qualname;
      __Pyx_END_CRITICAL_SECTION();
      return result;
  }
  static int
  __Pyx_CyFunction_set_qualname(__pyx_CyFunctionObject *op, PyObject *value, void *context)
  {
      CYTHON_UNUSED_VAR(context);
      if (unlikely(value == NULL || !PyUnicode_Check(value))) {
          PyErr_SetString(PyExc_TypeError,
                          "__qualname__ must be set to a string object");
          return -1;
      }
      Py_INCREF(value);
      __Pyx_BEGIN_CRITICAL_SECTION(op);
      __Pyx_Py_XDECREF_SET(op->func_qualname, value);
      __Pyx_END_CRITICAL_SECTION();
      return 0;
  }
  #if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
  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;
  }
  #endif
  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_BEGIN_CRITICAL_SECTION(op);
      __Pyx_Py_XDECREF_SET(op->defaults_tuple, value);
      __Pyx_END_CRITICAL_SECTION();
      return 0;
  }
  static PyObject *
  __Pyx_CyFunction_get_defaults_locked(__pyx_CyFunctionObject *op) {
      PyObject* result = op->defaults_tuple;
      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 PyObject *
  __Pyx_CyFunction_get_defaults(__pyx_CyFunctionObject *op, void *context) {
      PyObject* result = NULL;
      CYTHON_UNUSED_VAR(context);
      __Pyx_BEGIN_CRITICAL_SECTION(op);
      result = __Pyx_CyFunction_get_defaults_locked(op);
      __Pyx_END_CRITICAL_SECTION();
      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_BEGIN_CRITICAL_SECTION(op);
      __Pyx_Py_XDECREF_SET(op->defaults_kwdict, value);
      __Pyx_END_CRITICAL_SECTION();
      return 0;
  }
  static PyObject *
  __Pyx_CyFunction_get_kwdefaults_locked(__pyx_CyFunctionObject *op) {
      PyObject* result = op->defaults_kwdict;
      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 PyObject *
  __Pyx_CyFunction_get_kwdefaults(__pyx_CyFunctionObject *op, void *context) {
      PyObject* result;
      CYTHON_UNUSED_VAR(context);
      __Pyx_BEGIN_CRITICAL_SECTION(op);
      result = __Pyx_CyFunction_get_kwdefaults_locked(op);
      __Pyx_END_CRITICAL_SECTION();
      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_BEGIN_CRITICAL_SECTION(op);
      __Pyx_Py_XDECREF_SET(op->func_annotations, value);
      __Pyx_END_CRITICAL_SECTION();
      return 0;
  }
  static PyObject *
  __Pyx_CyFunction_get_annotations_locked(__pyx_CyFunctionObject *op) {
      PyObject* result = op->func_annotations;
      if (unlikely(!result)) {
          result = PyDict_New();
          if (unlikely(!result)) return NULL;
          op->func_annotations = result;
      }
      Py_INCREF(result);
      return result;
  }
  static PyObject *
  __Pyx_CyFunction_get_annotations(__pyx_CyFunctionObject *op, void *context) {
      PyObject *result;
      CYTHON_UNUSED_VAR(context);
      __Pyx_BEGIN_CRITICAL_SECTION(op);
      result = __Pyx_CyFunction_get_annotations_locked(op);
      __Pyx_END_CRITICAL_SECTION();
      return result;
  }
  static PyObject *
  __Pyx_CyFunction_get_is_coroutine_value(__pyx_CyFunctionObject *op) {
      int is_coroutine = op->flags & __Pyx_CYFUNCTION_COROUTINE;
      if (is_coroutine) {
          PyObject *is_coroutine_value, *module, *fromlist, *marker = __pyx_mstate_global->__pyx_n_u_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_mstate_global->__pyx_n_u_asyncio_coroutines, NULL, NULL, fromlist, 0);
          Py_DECREF(fromlist);
          if (unlikely(!module)) goto ignore;
          is_coroutine_value = __Pyx_PyObject_GetAttrStr(module, marker);
          Py_DECREF(module);
          if (likely(is_coroutine_value)) {
              return is_coroutine_value;
          }
  ignore:
          PyErr_Clear();
      }
      return __Pyx_PyBool_FromLong(is_coroutine);
  }
  static PyObject *
  __Pyx_CyFunction_get_is_coroutine(__pyx_CyFunctionObject *op, void *context) {
      PyObject *result;
      CYTHON_UNUSED_VAR(context);
      if (op->func_is_coroutine) {
          return __Pyx_NewRef(op->func_is_coroutine);
      }
      result = __Pyx_CyFunction_get_is_coroutine_value(op);
      if (unlikely(!result))
          return NULL;
      __Pyx_BEGIN_CRITICAL_SECTION(op);
      if (op->func_is_coroutine) {
          Py_DECREF(result);
          result = __Pyx_NewRef(op->func_is_coroutine);
      } else {
          op->func_is_coroutine = __Pyx_NewRef(result);
      }
      __Pyx_END_CRITICAL_SECTION();
      return result;
  }
  static void __Pyx_CyFunction_raise_argument_count_error(__pyx_CyFunctionObject *func, const char* message, Py_ssize_t size) {
  #if CYTHON_COMPILING_IN_LIMITED_API
      PyObject *py_name = __Pyx_CyFunction_get_name(func, NULL);
      if (!py_name) return;
      PyErr_Format(PyExc_TypeError,
          "%.200S() %s (%" CYTHON_FORMAT_SSIZE_T "d given)",
          py_name, message, size);
      Py_DECREF(py_name);
  #else
      const char* name = ((PyCFunctionObject*)func)->m_ml->ml_name;
      PyErr_Format(PyExc_TypeError,
          "%.200s() %s (%" CYTHON_FORMAT_SSIZE_T "d given)",
          name, message, size);
  #endif
  }
  static void __Pyx_CyFunction_raise_type_error(__pyx_CyFunctionObject *func, const char* message) {
  #if CYTHON_COMPILING_IN_LIMITED_API
      PyObject *py_name = __Pyx_CyFunction_get_name(func, NULL);
      if (!py_name) return;
      PyErr_Format(PyExc_TypeError,
          "%.200S() %s",
          py_name, message);
      Py_DECREF(py_name);
  #else
      const char* name = ((PyCFunctionObject*)func)->m_ml->ml_name;
      PyErr_Format(PyExc_TypeError,
          "%.200s() %s",
          name, message);
  #endif
  }
  #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[] = {
      {"func_doc", (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
      {"__doc__",  (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
      {"func_name", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
      {"__name__", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
      {"__qualname__", (getter)__Pyx_CyFunction_get_qualname, (setter)__Pyx_CyFunction_set_qualname, 0, 0},
  #if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
      {"func_dict", (getter)__Pyx_CyFunction_get_dict, (setter)PyObject_GenericSetDict, 0, 0},
      {"__dict__", (getter)__Pyx_CyFunction_get_dict, (setter)PyObject_GenericSetDict, 0, 0},
  #else
      {"func_dict", (getter)PyObject_GenericGetDict, (setter)PyObject_GenericSetDict, 0, 0},
      {"__dict__", (getter)PyObject_GenericGetDict, (setter)PyObject_GenericSetDict, 0, 0},
  #endif
      {"func_globals", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
      {"__globals__", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
      {"func_closure", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
      {"__closure__", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
      {"func_code", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
      {"__code__", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
      {"func_defaults", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
      {"__defaults__", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
      {"__kwdefaults__", (getter)__Pyx_CyFunction_get_kwdefaults, (setter)__Pyx_CyFunction_set_kwdefaults, 0, 0},
      {"__annotations__", (getter)__Pyx_CyFunction_get_annotations, (setter)__Pyx_CyFunction_set_annotations, 0, 0},
      {"_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
      {"__module__", T_OBJECT, offsetof(PyCFunctionObject, m_module), 0, 0},
  #endif
  #if PY_VERSION_HEX < 0x030C0000 || CYTHON_COMPILING_IN_LIMITED_API
      {"__dictoffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_dict), READONLY, 0},
  #endif
  #if CYTHON_METH_FASTCALL
  #if CYTHON_COMPILING_IN_LIMITED_API
      {"__vectorcalloffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_vectorcall), READONLY, 0},
  #else
      {"__vectorcalloffset__", T_PYSSIZET, offsetof(PyCFunctionObject, vectorcall), READONLY, 0},
  #endif
  #if CYTHON_COMPILING_IN_LIMITED_API
      {"__weaklistoffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_weakreflist), READONLY, 0},
  #else
      {"__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)
  {
      PyObject *result = NULL;
      CYTHON_UNUSED_VAR(args);
      __Pyx_BEGIN_CRITICAL_SECTION(m);
      Py_INCREF(m->func_qualname);
      result = m->func_qualname;
      __Pyx_END_CRITICAL_SECTION();
      return result;
  }
  static PyMethodDef __pyx_CyFunction_methods[] = {
      {"__reduce__", (PyCFunction)__Pyx_CyFunction_reduce, METH_VARARGS, 0},
      {0, 0, 0, 0}
  };
  #if 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
  #if PY_VERSION_HEX < 0x030C0000 || CYTHON_COMPILING_IN_LIMITED_API
      op->func_dict = NULL;
  #endif
      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 = 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
  #if PY_VERSION_HEX < 0x030C0000 || CYTHON_COMPILING_IN_LIMITED_API
      Py_CLEAR(m->func_dict);
  #elif PY_VERSION_HEX < 0x030d0000
      _PyObject_ClearManagedDict((PyObject*)m);
  #else
      PyObject_ClearManagedDict((PyObject*)m);
  #endif
      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);
      Py_CLEAR(m->defaults);
      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)
  {
      {
          int e = __Pyx_call_type_traverse((PyObject*)m, 1, visit, arg);
          if (e) return e;
      }
      Py_VISIT(m->func_closure);
  #if CYTHON_COMPILING_IN_LIMITED_API
      Py_VISIT(m->func);
  #else
      Py_VISIT(((PyCFunctionObject*)m)->m_module);
  #endif
  #if PY_VERSION_HEX < 0x030C0000 || CYTHON_COMPILING_IN_LIMITED_API
      Py_VISIT(m->func_dict);
  #else
      {
          int e =
  #if PY_VERSION_HEX < 0x030d0000
              _PyObject_VisitManagedDict
  #else
              PyObject_VisitManagedDict
  #endif
                  ((PyObject*)m, visit, arg);
          if (e != 0) return e;
      }
  #endif
      __Pyx_VISIT_CONST(m->func_name);
      __Pyx_VISIT_CONST(m->func_qualname);
      Py_VISIT(m->func_doc);
      Py_VISIT(m->func_globals);
      __Pyx_VISIT_CONST(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);
      Py_VISIT(m->defaults);
      return 0;
  }
  static PyObject*
  __Pyx_CyFunction_repr(__pyx_CyFunctionObject *op)
  {
      PyObject *repr;
      __Pyx_BEGIN_CRITICAL_SECTION(op);
      repr = PyUnicode_FromFormat("<cyfunction %U at %p>",
                                  op->func_qualname, (void *)op);
      __Pyx_END_CRITICAL_SECTION();
      return repr;
  }
  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;
      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(*)(void))meth)(self, arg, kw);
      case METH_NOARGS:
          if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
  #if CYTHON_ASSUME_SAFE_SIZE
              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);
              __Pyx_CyFunction_raise_argument_count_error(
                  (__pyx_CyFunctionObject*)func,
                  "takes no arguments", size);
              return NULL;
          }
          break;
      case METH_O:
          if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
  #if CYTHON_ASSUME_SAFE_SIZE
              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;
              }
              __Pyx_CyFunction_raise_argument_count_error(
                  (__pyx_CyFunctionObject*)func,
                  "takes exactly one argument", size);
              return NULL;
          }
          break;
      default:
          PyErr_SetString(PyExc_SystemError, "Bad call flags for CyFunction");
          return NULL;
      }
      __Pyx_CyFunction_raise_type_error(
          (__pyx_CyFunctionObject*)func, "takes no keyword arguments");
      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 && CYTHON_VECTORCALL
       __pyx_vectorcallfunc vc = __Pyx_CyFunction_func_vectorcall(cyfunc);
      if (vc) {
  #if CYTHON_ASSUME_SAFE_MACROS && CYTHON_ASSUME_SAFE_SIZE
          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_SIZE
          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);
              PyErr_Format(PyExc_TypeError,
                           "unbound method %.200S() needs an argument",
                           cyfunc->func_qualname);
              return NULL;
          }
          result = __Pyx_CyFunction_CallMethod(func, self, new_args, kw);
          Py_DECREF(new_args);
      } else {
          result = __Pyx_CyFunction_Call(func, args, kw);
      }
      return result;
  }
  #if CYTHON_METH_FASTCALL && CYTHON_VECTORCALL
  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)) {
              __Pyx_CyFunction_raise_type_error(
                  cyfunc, "needs an argument");
              return -1;
          }
          ret = 1;
      }
      if (unlikely(kwnames) && unlikely(__Pyx_PyTuple_GET_SIZE(kwnames))) {
          __Pyx_CyFunction_raise_type_error(
              cyfunc, "takes no keyword arguments");
          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;
      Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
      PyObject *self;
  #if CYTHON_COMPILING_IN_LIMITED_API
      PyCFunction meth = PyCFunction_GetFunction(cyfunc->func);
      if (unlikely(!meth)) return NULL;
  #else
      PyCFunction meth = ((PyCFunctionObject*)cyfunc)->m_ml->ml_meth;
  #endif
      switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, kwnames)) {
      case 1:
          self = args[0];
          args += 1;
          nargs -= 1;
          break;
      case 0:
  #if CYTHON_COMPILING_IN_LIMITED_API
          self = PyCFunction_GetSelf(((__pyx_CyFunctionObject*)cyfunc)->func);
          if (unlikely(!self) && PyErr_Occurred()) return NULL;
  #else
          self = ((PyCFunctionObject*)cyfunc)->m_self;
  #endif
          break;
      default:
          return NULL;
      }
      if (unlikely(nargs != 0)) {
          __Pyx_CyFunction_raise_argument_count_error(
              cyfunc, "takes no arguments", nargs);
          return NULL;
      }
      return 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;
      Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
      PyObject *self;
  #if CYTHON_COMPILING_IN_LIMITED_API
      PyCFunction meth = PyCFunction_GetFunction(cyfunc->func);
      if (unlikely(!meth)) return NULL;
  #else
      PyCFunction meth = ((PyCFunctionObject*)cyfunc)->m_ml->ml_meth;
  #endif
      switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, kwnames)) {
      case 1:
          self = args[0];
          args += 1;
          nargs -= 1;
          break;
      case 0:
  #if CYTHON_COMPILING_IN_LIMITED_API
          self = PyCFunction_GetSelf(((__pyx_CyFunctionObject*)cyfunc)->func);
          if (unlikely(!self) && PyErr_Occurred()) return NULL;
  #else
          self = ((PyCFunctionObject*)cyfunc)->m_self;
  #endif
          break;
      default:
          return NULL;
      }
      if (unlikely(nargs != 1)) {
          __Pyx_CyFunction_raise_argument_count_error(
              cyfunc, "takes exactly one argument", nargs);
          return NULL;
      }
      return 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;
      Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
      PyObject *self;
  #if CYTHON_COMPILING_IN_LIMITED_API
      PyCFunction meth = PyCFunction_GetFunction(cyfunc->func);
      if (unlikely(!meth)) return NULL;
  #else
      PyCFunction meth = ((PyCFunctionObject*)cyfunc)->m_ml->ml_meth;
  #endif
      switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, NULL)) {
      case 1:
          self = args[0];
          args += 1;
          nargs -= 1;
          break;
      case 0:
  #if CYTHON_COMPILING_IN_LIMITED_API
          self = PyCFunction_GetSelf(((__pyx_CyFunctionObject*)cyfunc)->func);
          if (unlikely(!self) && PyErr_Occurred()) return NULL;
  #else
          self = ((PyCFunctionObject*)cyfunc)->m_self;
  #endif
          break;
      default:
          return NULL;
      }
      return ((__Pyx_PyCFunctionFastWithKeywords)(void(*)(void))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;
      PyTypeObject *cls = (PyTypeObject *) __Pyx_CyFunction_GetClassObj(cyfunc);
      Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
      PyObject *self;
  #if CYTHON_COMPILING_IN_LIMITED_API
      PyCFunction meth = PyCFunction_GetFunction(cyfunc->func);
      if (unlikely(!meth)) return NULL;
  #else
      PyCFunction meth = ((PyCFunctionObject*)cyfunc)->m_ml->ml_meth;
  #endif
      switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, NULL)) {
      case 1:
          self = args[0];
          args += 1;
          nargs -= 1;
          break;
      case 0:
  #if CYTHON_COMPILING_IN_LIMITED_API
          self = PyCFunction_GetSelf(((__pyx_CyFunctionObject*)cyfunc)->func);
          if (unlikely(!self) && PyErr_Occurred()) return NULL;
  #else
          self = ((PyCFunctionObject*)cyfunc)->m_self;
  #endif
          break;
      default:
          return NULL;
      }
      #if PY_VERSION_HEX < 0x030e00A6
      size_t nargs_value = (size_t) nargs;
      #else
      Py_ssize_t nargs_value = nargs;
      #endif
      return ((__Pyx_PyCMethod)(void(*)(void))meth)(self, cls, args, nargs_value, kwnames);
  }
  #endif
  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 CYTHON_METH_FASTCALL
  #if defined(Py_TPFLAGS_HAVE_VECTORCALL)
      Py_TPFLAGS_HAVE_VECTORCALL |
  #elif defined(_Py_TPFLAGS_HAVE_VECTORCALL)
      _Py_TPFLAGS_HAVE_VECTORCALL |
  #endif
  #endif // CYTHON_METH_FASTCALL
  #if PY_VERSION_HEX >= 0x030C0000 && !CYTHON_COMPILING_IN_LIMITED_API
      Py_TPFLAGS_MANAGED_DICT |
  #endif
      Py_TPFLAGS_IMMUTABLETYPE | Py_TPFLAGS_DISALLOW_INSTANTIATION |
      Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_BASETYPE,
      __pyx_CyFunctionType_slots
  };
  static int __pyx_CyFunction_init(PyObject *module) {
      __pyx_mstatetype *mstate = __Pyx_PyModule_GetState(module);
      mstate->__pyx_CyFunctionType = __Pyx_FetchCommonTypeFromSpec(
          mstate->__pyx_CommonTypesMetaclassType, module, &__pyx_CyFunctionType_spec, NULL);
      if (unlikely(mstate->__pyx_CyFunctionType == NULL)) {
          return -1;
      }
      return 0;
  }
  static CYTHON_INLINE PyObject *__Pyx_CyFunction_InitDefaults(PyObject *func, PyTypeObject *defaults_type) {
      __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
      m->defaults = PyObject_CallObject((PyObject*)defaults_type, NULL); // _PyObject_New(defaults_type);
      if (unlikely(!m->defaults))
          return NULL;
      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_mstate_global->__pyx_CyFunctionType),
          ml, flags, qualname, closure, module, globals, code
      );
      if (likely(op)) {
          PyObject_GC_Track(op);
      }
      return op;
  }
  
/* Py3UpdateBases */
  static PyObject*
  __Pyx_PEP560_update_bases(PyObject *bases)
  {
      Py_ssize_t i, j, size_bases;
      PyObject *base = NULL, *meth, *new_base, *result, *new_bases = NULL;
  #if CYTHON_ASSUME_SAFE_SIZE
      size_bases = PyTuple_GET_SIZE(bases);
  #else
      size_bases = PyTuple_Size(bases);
      if (size_bases < 0) return NULL;
  #endif
      for (i = 0; i < size_bases; i++) {
  #if CYTHON_AVOID_BORROWED_REFS
          Py_CLEAR(base);
  #endif
  #if CYTHON_ASSUME_SAFE_MACROS
          base = PyTuple_GET_ITEM(bases, i);
  #else
          base = PyTuple_GetItem(bases, i);
          if (!base) goto error;
  #endif
  #if CYTHON_AVOID_BORROWED_REFS
          Py_INCREF(base);
  #endif
          if (PyType_Check(base)) {
              if (new_bases) {
                  if (PyList_Append(new_bases, base) < 0) {
                      goto error;
                  }
              }
              continue;
          }
          meth = __Pyx_PyObject_GetAttrStrNoError(base, __pyx_mstate_global->__pyx_n_u_mro_entries);
          if (!meth && PyErr_Occurred()) {
              goto error;
          }
          if (!meth) {
              if (new_bases) {
                  if (PyList_Append(new_bases, base) < 0) {
                      goto error;
                  }
              }
              continue;
          }
          new_base = __Pyx_PyObject_CallOneArg(meth, bases);
          Py_DECREF(meth);
          if (!new_base) {
              goto error;
          }
          if (!PyTuple_Check(new_base)) {
              PyErr_SetString(PyExc_TypeError,
                              "__mro_entries__ must return a tuple");
              Py_DECREF(new_base);
              goto error;
          }
          if (!new_bases) {
              if (!(new_bases = PyList_New(i))) {
                  goto error;
              }
              for (j = 0; j < i; j++) {
                  PyObject *base_from_list;
  #if CYTHON_ASSUME_SAFE_MACROS
                  base_from_list = PyTuple_GET_ITEM(bases, j);
                  PyList_SET_ITEM(new_bases, j, base_from_list);
                  Py_INCREF(base_from_list);
  #else
                  base_from_list = PyTuple_GetItem(bases, j);
                  if (!base_from_list) goto error;
                  Py_INCREF(base_from_list);
                  if (PyList_SetItem(new_bases, j, base_from_list) < 0) goto error;
  #endif
              }
          }
  #if CYTHON_ASSUME_SAFE_SIZE
          j = PyList_GET_SIZE(new_bases);
  #else
          j = PyList_Size(new_bases);
          if (j < 0) goto error;
  #endif
          if (PyList_SetSlice(new_bases, j, j, new_base) < 0) {
              goto error;
          }
          Py_DECREF(new_base);
      }
      if (!new_bases) {
          Py_INCREF(bases);
          return bases;
      }
      result = PyList_AsTuple(new_bases);
      Py_DECREF(new_bases);
  #if CYTHON_AVOID_BORROWED_REFS
      Py_XDECREF(base);
  #endif
      return result;
  error:
      Py_XDECREF(new_bases);
  #if CYTHON_AVOID_BORROWED_REFS
      Py_XDECREF(base);
  #endif
      return NULL;
  }
  
/* CalculateMetaclass */
  static PyObject *__Pyx_CalculateMetaclass(PyTypeObject *metaclass, PyObject *bases) {
      Py_ssize_t i, nbases;
  #if CYTHON_ASSUME_SAFE_SIZE
      nbases = PyTuple_GET_SIZE(bases);
  #else
      nbases = PyTuple_Size(bases);
      if (nbases < 0) return NULL;
  #endif
      for (i=0; i < nbases; i++) {
          PyTypeObject *tmptype;
  #if CYTHON_ASSUME_SAFE_MACROS
          PyObject *tmp = PyTuple_GET_ITEM(bases, i);
  #else
          PyObject *tmp = PyTuple_GetItem(bases, i);
          if (!tmp) return NULL;
  #endif
          tmptype = Py_TYPE(tmp);
          if (!metaclass) {
              metaclass = tmptype;
              continue;
          }
          if (PyType_IsSubtype(metaclass, tmptype))
              continue;
          if (PyType_IsSubtype(tmptype, metaclass)) {
              metaclass = tmptype;
              continue;
          }
          PyErr_SetString(PyExc_TypeError,
                          "metaclass conflict: "
                          "the metaclass of a derived class "
                          "must be a (non-strict) subclass "
                          "of the metaclasses of all its bases");
          return NULL;
      }
      if (!metaclass) {
          metaclass = &PyType_Type;
      }
      Py_INCREF((PyObject*) metaclass);
      return (PyObject*) metaclass;
  }
  
/* PyObjectCall2Args (used by Py3ClassCreate) */
  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);
  }
  
/* PyObjectLookupSpecial (used by Py3ClassCreate) */
  #if CYTHON_USE_PYTYPE_LOOKUP && CYTHON_USE_TYPE_SLOTS
  static CYTHON_INLINE PyObject* __Pyx__PyObject_LookupSpecial(PyObject* obj, PyObject* attr_name, int with_error) {
      PyObject *res;
      PyTypeObject *tp = Py_TYPE(obj);
      res = _PyType_Lookup(tp, attr_name);
      if (likely(res)) {
          descrgetfunc f = Py_TYPE(res)->tp_descr_get;
          if (!f) {
              Py_INCREF(res);
          } else {
              res = f(res, obj, (PyObject *)tp);
          }
      } else if (with_error) {
          PyErr_SetObject(PyExc_AttributeError, attr_name);
      }
      return res;
  }
  #endif
  
/* Py3ClassCreate */
  static PyObject *__Pyx_Py3MetaclassPrepare(PyObject *metaclass, PyObject *bases, PyObject *name,
                                             PyObject *qualname, PyObject *mkw, PyObject *modname, PyObject *doc) {
      PyObject *ns;
      if (metaclass) {
          PyObject *prep = __Pyx_PyObject_GetAttrStrNoError(metaclass, __pyx_mstate_global->__pyx_n_u_prepare);
          if (prep) {
              PyObject *pargs[3] = {NULL, name, bases};
              ns = __Pyx_PyObject_FastCallDict(prep, pargs+1, 2 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET, mkw);
              Py_DECREF(prep);
          } else {
              if (unlikely(PyErr_Occurred()))
                  return NULL;
              ns = PyDict_New();
          }
      } else {
          ns = PyDict_New();
      }
      if (unlikely(!ns))
          return NULL;
      if (unlikely(PyObject_SetItem(ns, __pyx_mstate_global->__pyx_n_u_module, modname) < 0)) goto bad;
      if (unlikely(PyObject_SetItem(ns, __pyx_mstate_global->__pyx_n_u_qualname, qualname) < 0)) goto bad;
      if (unlikely(doc && PyObject_SetItem(ns, __pyx_mstate_global->__pyx_n_u_doc, doc) < 0)) goto bad;
      return ns;
  bad:
      Py_DECREF(ns);
      return NULL;
  }
  static PyObject *__Pyx_Py3ClassCreate(PyObject *metaclass, PyObject *name, PyObject *bases,
                                        PyObject *dict, PyObject *mkw,
                                        int calculate_metaclass, int allow_py2_metaclass) {
      PyObject *result;
      PyObject *owned_metaclass = NULL;
      PyObject *margs[4] = {NULL, name, bases, dict};
      if (allow_py2_metaclass) {
          owned_metaclass = PyObject_GetItem(dict, __pyx_mstate_global->__pyx_n_u_metaclass);
          if (owned_metaclass) {
              metaclass = owned_metaclass;
          } else if (likely(PyErr_ExceptionMatches(PyExc_KeyError))) {
              PyErr_Clear();
          } else {
              return NULL;
          }
      }
      if (calculate_metaclass && (!metaclass || PyType_Check(metaclass))) {
          metaclass = __Pyx_CalculateMetaclass((PyTypeObject*) metaclass, bases);
          Py_XDECREF(owned_metaclass);
          if (unlikely(!metaclass))
              return NULL;
          owned_metaclass = metaclass;
      }
      result = __Pyx_PyObject_FastCallDict(metaclass, margs+1, 3 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET, mkw);
      Py_XDECREF(owned_metaclass);
      return result;
  }
  
/* CLineInTraceback (used by AddTraceback) */
  #if CYTHON_CLINE_IN_TRACEBACK && CYTHON_CLINE_IN_TRACEBACK_RUNTIME
  #if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
  #define __Pyx_PyProbablyModule_GetDict(o) __Pyx_XNewRef(PyModule_GetDict(o))
  #elif !CYTHON_COMPILING_IN_CPYTHON || CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
  #define __Pyx_PyProbablyModule_GetDict(o) PyObject_GenericGetDict(o, NULL);
  #else
  PyObject* __Pyx_PyProbablyModule_GetDict(PyObject *o) {
      PyObject **dict_ptr = _PyObject_GetDictPtr(o);
      return dict_ptr ? __Pyx_XNewRef(*dict_ptr) : NULL;
  }
  #endif
  static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line) {
      PyObject *use_cline = NULL;
      PyObject *ptype, *pvalue, *ptraceback;
      PyObject *cython_runtime_dict;
      CYTHON_MAYBE_UNUSED_VAR(tstate);
      if (unlikely(!__pyx_mstate_global->__pyx_cython_runtime)) {
          return c_line;
      }
      __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);
      cython_runtime_dict = __Pyx_PyProbablyModule_GetDict(__pyx_mstate_global->__pyx_cython_runtime);
      if (likely(cython_runtime_dict)) {
          __PYX_PY_DICT_LOOKUP_IF_MODIFIED(
              use_cline, cython_runtime_dict,
              __Pyx_PyDict_SetDefault(cython_runtime_dict, __pyx_mstate_global->__pyx_n_u_cline_in_traceback, Py_False))
      }
      if (use_cline == NULL || use_cline == Py_False || (use_cline != Py_True && PyObject_Not(use_cline) != 0)) {
          c_line = 0;
      }
      Py_XDECREF(use_cline);
      Py_XDECREF(cython_runtime_dict);
      __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback);
      return c_line;
  }
  #endif
  
/* CodeObjectCache (used by AddTraceback) */
  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 __Pyx_CachedCodeObjectType *__pyx__find_code_object(struct __Pyx_CodeObjectCache *code_cache, int code_line) {
      __Pyx_CachedCodeObjectType* code_object;
      int pos;
      if (unlikely(!code_line) || unlikely(!code_cache->entries)) {
          return NULL;
      }
      pos = __pyx_bisect_code_objects(code_cache->entries, code_cache->count, code_line);
      if (unlikely(pos >= code_cache->count) || unlikely(code_cache->entries[pos].code_line != code_line)) {
          return NULL;
      }
      code_object = code_cache->entries[pos].code_object;
      Py_INCREF(code_object);
      return code_object;
  }
  static __Pyx_CachedCodeObjectType *__pyx_find_code_object(int code_line) {
  #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING && !CYTHON_ATOMICS
      (void)__pyx__find_code_object;
      return NULL; // Most implementation should have atomics. But otherwise, don't make it thread-safe, just miss.
  #else
      struct __Pyx_CodeObjectCache *code_cache = &__pyx_mstate_global->__pyx_code_cache;
  #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
      __pyx_nonatomic_int_type old_count = __pyx_atomic_incr_acq_rel(&code_cache->accessor_count);
      if (old_count < 0) {
          __pyx_atomic_decr_acq_rel(&code_cache->accessor_count);
          return NULL;
      }
  #endif
      __Pyx_CachedCodeObjectType *result = __pyx__find_code_object(code_cache, code_line);
  #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
      __pyx_atomic_decr_acq_rel(&code_cache->accessor_count);
  #endif
      return result;
  #endif
  }
  static void __pyx__insert_code_object(struct __Pyx_CodeObjectCache *code_cache, int code_line, __Pyx_CachedCodeObjectType* code_object)
  {
      int pos, i;
      __Pyx_CodeObjectCacheEntry* entries = code_cache->entries;
      if (unlikely(!code_line)) {
          return;
      }
      if (unlikely(!entries)) {
          entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Malloc(64*sizeof(__Pyx_CodeObjectCacheEntry));
          if (likely(entries)) {
              code_cache->entries = entries;
              code_cache->max_count = 64;
              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(code_cache->entries, code_cache->count, code_line);
      if ((pos < code_cache->count) && unlikely(code_cache->entries[pos].code_line == code_line)) {
          __Pyx_CachedCodeObjectType* tmp = entries[pos].code_object;
          entries[pos].code_object = code_object;
          Py_INCREF(code_object);
          Py_DECREF(tmp);
          return;
      }
      if (code_cache->count == code_cache->max_count) {
          int new_max = code_cache->max_count + 64;
          entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Realloc(
              code_cache->entries, ((size_t)new_max) * sizeof(__Pyx_CodeObjectCacheEntry));
          if (unlikely(!entries)) {
              return;
          }
          code_cache->entries = entries;
          code_cache->max_count = new_max;
      }
      for (i=code_cache->count; i>pos; i--) {
          entries[i] = entries[i-1];
      }
      entries[pos].code_line = code_line;
      entries[pos].code_object = code_object;
      code_cache->count++;
      Py_INCREF(code_object);
  }
  static void __pyx_insert_code_object(int code_line, __Pyx_CachedCodeObjectType* code_object) {
  #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING && !CYTHON_ATOMICS
      (void)__pyx__insert_code_object;
      return; // Most implementation should have atomics. But otherwise, don't make it thread-safe, just fail.
  #else
      struct __Pyx_CodeObjectCache *code_cache = &__pyx_mstate_global->__pyx_code_cache;
  #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
      __pyx_nonatomic_int_type expected = 0;
      if (!__pyx_atomic_int_cmp_exchange(&code_cache->accessor_count, &expected, INT_MIN)) {
          return;
      }
  #endif
      __pyx__insert_code_object(code_cache, code_line, code_object);
  #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
      __pyx_atomic_sub(&code_cache->accessor_count, INT_MIN);
  #endif
  #endif
  }
  
/* AddTraceback */
  #include "compile.h"
  #include "frameobject.h"
  #include "traceback.h"
  #if PY_VERSION_HEX >= 0x030b00a6 && !CYTHON_COMPILING_IN_LIMITED_API && !defined(PYPY_VERSION)
    #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 = PyObject_Call(replace, __pyx_mstate_global->__pyx_empty_tuple, scratch_dict);
          Py_DECREF(replace);
          return result;
      }
      PyErr_Clear();
      return NULL;
  }
  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) {
          c_line = __Pyx_CLineForTraceback(__Pyx_PyThreadState_Current, c_line);
      }
      PyErr_Fetch(&exc_type, &exc_value, &exc_traceback);
      code_object = __pyx_find_code_object(c_line ? -c_line : py_line);
      if (!code_object) {
          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;
          if (c_line) {
              py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
          } else {
              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;
          __pyx_insert_code_object(c_line ? -c_line : py_line, code_object);
      } else {
          dict = PyDict_New();
      }
      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 (c_line) {
          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;
      }
      py_code = PyCode_NewEmpty(filename, funcname, py_line);
      Py_XDECREF(py_funcname);
      return py_code;
  bad:
      Py_XDECREF(py_funcname);
      return NULL;
  }
  static void __Pyx_AddTraceback(const char *funcname, int c_line,
                                 int py_line, const char *filename) {
      PyCodeObject *py_code = 0;
      PyFrameObject *py_frame = 0;
      PyThreadState *tstate = __Pyx_PyThreadState_Current;
      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_mstate_global->__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;\
      }
  
/* Declarations */
  #if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
    #ifdef __cplusplus
      static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
        return ::std::complex< float >(x, y);
      }
    #else
      static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
        return x + y*(__pyx_t_float_complex)_Complex_I;
      }
    #endif
  #else
      static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
        __pyx_t_float_complex z;
        z.real = x;
        z.imag = y;
        return z;
      }
  #endif
  
/* Arithmetic */
  #if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
  #else
      static CYTHON_INLINE int __Pyx_c_eq_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
         return (a.real == b.real) && (a.imag == b.imag);
      }
      static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sum_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
          __pyx_t_float_complex z;
          z.real = a.real + b.real;
          z.imag = a.imag + b.imag;
          return z;
      }
      static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_diff_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
          __pyx_t_float_complex z;
          z.real = a.real - b.real;
          z.imag = a.imag - b.imag;
          return z;
      }
      static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prod_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
          __pyx_t_float_complex z;
          z.real = a.real * b.real - a.imag * b.imag;
          z.imag = a.real * b.imag + a.imag * b.real;
          return z;
      }
      #if 1
      static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
          if (b.imag == 0) {
              return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.real);
          } else if (fabsf(b.real) >= fabsf(b.imag)) {
              if (b.real == 0 && b.imag == 0) {
                  return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.imag);
              } else {
                  float r = b.imag / b.real;
                  float s = (float)(1.0) / (b.real + b.imag * r);
                  return __pyx_t_float_complex_from_parts(
                      (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);
              }
          } else {
              float r = b.real / b.imag;
              float s = (float)(1.0) / (b.imag + b.real * r);
              return __pyx_t_float_complex_from_parts(
                  (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);
          }
      }
      #else
      static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
          if (b.imag == 0) {
              return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.real);
          } else {
              float denom = b.real * b.real + b.imag * b.imag;
              return __pyx_t_float_complex_from_parts(
                  (a.real * b.real + a.imag * b.imag) / denom,
                  (a.imag * b.real - a.real * b.imag) / denom);
          }
      }
      #endif
      static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_neg_float(__pyx_t_float_complex a) {
          __pyx_t_float_complex z;
          z.real = -a.real;
          z.imag = -a.imag;
          return z;
      }
      static CYTHON_INLINE int __Pyx_c_is_zero_float(__pyx_t_float_complex a) {
         return (a.real == 0) && (a.imag == 0);
      }
      static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conj_float(__pyx_t_float_complex a) {
          __pyx_t_float_complex z;
          z.real =  a.real;
          z.imag = -a.imag;
          return z;
      }
      #if 1
          static CYTHON_INLINE float __Pyx_c_abs_float(__pyx_t_float_complex z) {
            #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
              return sqrtf(z.real*z.real + z.imag*z.imag);
            #else
              return hypotf(z.real, z.imag);
            #endif
          }
          static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_pow_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
              __pyx_t_float_complex z;
              float r, lnr, theta, z_r, z_theta;
              if (b.imag == 0 && b.real == (int)b.real) {
                  if (b.real < 0) {
                      float denom = a.real * a.real + a.imag * a.imag;
                      a.real = a.real / denom;
                      a.imag = -a.imag / denom;
                      b.real = -b.real;
                  }
                  switch ((int)b.real) {
                      case 0:
                          z.real = 1;
                          z.imag = 0;
                          return z;
                      case 1:
                          return a;
                      case 2:
                          return __Pyx_c_prod_float(a, a);
                      case 3:
                          z = __Pyx_c_prod_float(a, a);
                          return __Pyx_c_prod_float(z, a);
                      case 4:
                          z = __Pyx_c_prod_float(a, a);
                          return __Pyx_c_prod_float(z, z);
                  }
              }
              if (a.imag == 0) {
                  if (a.real == 0) {
                      return a;
                  } else if ((b.imag == 0) && (a.real >= 0)) {
                      z.real = powf(a.real, b.real);
                      z.imag = 0;
                      return z;
                  } else if (a.real > 0) {
                      r = a.real;
                      theta = 0;
                  } else {
                      r = -a.real;
                      theta = atan2f(0.0, -1.0);
                  }
              } else {
                  r = __Pyx_c_abs_float(a);
                  theta = atan2f(a.imag, a.real);
              }
              lnr = logf(r);
              z_r = expf(lnr * b.real - theta * b.imag);
              z_theta = theta * b.real + lnr * b.imag;
              z.real = z_r * cosf(z_theta);
              z.imag = z_r * sinf(z_theta);
              return z;
          }
      #endif
  #endif
  
/* Declarations */
  #if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
    #ifdef __cplusplus
      static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
        return ::std::complex< double >(x, y);
      }
    #else
      static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
        return x + y*(__pyx_t_double_complex)_Complex_I;
      }
    #endif
  #else
      static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
        __pyx_t_double_complex z;
        z.real = x;
        z.imag = y;
        return z;
      }
  #endif
  
/* Arithmetic */
  #if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
  #else
      static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
         return (a.real == b.real) && (a.imag == b.imag);
      }
      static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
          __pyx_t_double_complex z;
          z.real = a.real + b.real;
          z.imag = a.imag + b.imag;
          return z;
      }
      static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
          __pyx_t_double_complex z;
          z.real = a.real - b.real;
          z.imag = a.imag - b.imag;
          return z;
      }
      static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
          __pyx_t_double_complex z;
          z.real = a.real * b.real - a.imag * b.imag;
          z.imag = a.real * b.imag + a.imag * b.real;
          return z;
      }
      #if 1
      static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
          if (b.imag == 0) {
              return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real);
          } else if (fabs(b.real) >= fabs(b.imag)) {
              if (b.real == 0 && b.imag == 0) {
                  return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.imag);
              } else {
                  double r = b.imag / b.real;
                  double s = (double)(1.0) / (b.real + b.imag * r);
                  return __pyx_t_double_complex_from_parts(
                      (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);
              }
          } else {
              double r = b.real / b.imag;
              double s = (double)(1.0) / (b.imag + b.real * r);
              return __pyx_t_double_complex_from_parts(
                  (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);
          }
      }
      #else
      static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
          if (b.imag == 0) {
              return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real);
          } else {
              double denom = b.real * b.real + b.imag * b.imag;
              return __pyx_t_double_complex_from_parts(
                  (a.real * b.real + a.imag * b.imag) / denom,
                  (a.imag * b.real - a.real * b.imag) / denom);
          }
      }
      #endif
      static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex a) {
          __pyx_t_double_complex z;
          z.real = -a.real;
          z.imag = -a.imag;
          return z;
      }
      static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex a) {
         return (a.real == 0) && (a.imag == 0);
      }
      static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex a) {
          __pyx_t_double_complex z;
          z.real =  a.real;
          z.imag = -a.imag;
          return z;
      }
      #if 1
          static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex z) {
            #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
              return sqrt(z.real*z.real + z.imag*z.imag);
            #else
              return hypot(z.real, z.imag);
            #endif
          }
          static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
              __pyx_t_double_complex z;
              double r, lnr, theta, z_r, z_theta;
              if (b.imag == 0 && b.real == (int)b.real) {
                  if (b.real < 0) {
                      double denom = a.real * a.real + a.imag * a.imag;
                      a.real = a.real / denom;
                      a.imag = -a.imag / denom;
                      b.real = -b.real;
                  }
                  switch ((int)b.real) {
                      case 0:
                          z.real = 1;
                          z.imag = 0;
                          return z;
                      case 1:
                          return a;
                      case 2:
                          return __Pyx_c_prod_double(a, a);
                      case 3:
                          z = __Pyx_c_prod_double(a, a);
                          return __Pyx_c_prod_double(z, a);
                      case 4:
                          z = __Pyx_c_prod_double(a, a);
                          return __Pyx_c_prod_double(z, z);
                  }
              }
              if (a.imag == 0) {
                  if (a.real == 0) {
                      return a;
                  } else if ((b.imag == 0) && (a.real >= 0)) {
                      z.real = pow(a.real, b.real);
                      z.imag = 0;
                      return z;
                  } else if (a.real > 0) {
                      r = a.real;
                      theta = 0;
                  } else {
                      r = -a.real;
                      theta = atan2(0.0, -1.0);
                  }
              } else {
                  r = __Pyx_c_abs_double(a);
                  theta = atan2(a.imag, a.real);
              }
              lnr = log(r);
              z_r = exp(lnr * b.real - theta * b.imag);
              z_theta = theta * b.real + lnr * b.imag;
              z.real = z_r * cos(z_theta);
              z.imag = z_r * sin(z_theta);
              return z;
          }
      #endif
  #endif
  
/* Declarations */
  #if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
    #ifdef __cplusplus
      static CYTHON_INLINE __pyx_t_long_double_complex __pyx_t_long_double_complex_from_parts(long double x, long double y) {
        return ::std::complex< long double >(x, y);
      }
    #else
      static CYTHON_INLINE __pyx_t_long_double_complex __pyx_t_long_double_complex_from_parts(long double x, long double y) {
        return x + y*(__pyx_t_long_double_complex)_Complex_I;
      }
    #endif
  #else
      static CYTHON_INLINE __pyx_t_long_double_complex __pyx_t_long_double_complex_from_parts(long double x, long double y) {
        __pyx_t_long_double_complex z;
        z.real = x;
        z.imag = y;
        return z;
      }
  #endif
  
/* Arithmetic */
  #if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
  #else
      static CYTHON_INLINE int __Pyx_c_eq_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) {
         return (a.real == b.real) && (a.imag == b.imag);
      }
      static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_sum_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) {
          __pyx_t_long_double_complex z;
          z.real = a.real + b.real;
          z.imag = a.imag + b.imag;
          return z;
      }
      static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_diff_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) {
          __pyx_t_long_double_complex z;
          z.real = a.real - b.real;
          z.imag = a.imag - b.imag;
          return z;
      }
      static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_prod_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) {
          __pyx_t_long_double_complex z;
          z.real = a.real * b.real - a.imag * b.imag;
          z.imag = a.real * b.imag + a.imag * b.real;
          return z;
      }
      #if 1
      static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_quot_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) {
          if (b.imag == 0) {
              return __pyx_t_long_double_complex_from_parts(a.real / b.real, a.imag / b.real);
          } else if (fabsl(b.real) >= fabsl(b.imag)) {
              if (b.real == 0 && b.imag == 0) {
                  return __pyx_t_long_double_complex_from_parts(a.real / b.real, a.imag / b.imag);
              } else {
                  long double r = b.imag / b.real;
                  long double s = (long double)(1.0) / (b.real + b.imag * r);
                  return __pyx_t_long_double_complex_from_parts(
                      (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);
              }
          } else {
              long double r = b.real / b.imag;
              long double s = (long double)(1.0) / (b.imag + b.real * r);
              return __pyx_t_long_double_complex_from_parts(
                  (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);
          }
      }
      #else
      static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_quot_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) {
          if (b.imag == 0) {
              return __pyx_t_long_double_complex_from_parts(a.real / b.real, a.imag / b.real);
          } else {
              long double denom = b.real * b.real + b.imag * b.imag;
              return __pyx_t_long_double_complex_from_parts(
                  (a.real * b.real + a.imag * b.imag) / denom,
                  (a.imag * b.real - a.real * b.imag) / denom);
          }
      }
      #endif
      static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_neg_long__double(__pyx_t_long_double_complex a) {
          __pyx_t_long_double_complex z;
          z.real = -a.real;
          z.imag = -a.imag;
          return z;
      }
      static CYTHON_INLINE int __Pyx_c_is_zero_long__double(__pyx_t_long_double_complex a) {
         return (a.real == 0) && (a.imag == 0);
      }
      static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_conj_long__double(__pyx_t_long_double_complex a) {
          __pyx_t_long_double_complex z;
          z.real =  a.real;
          z.imag = -a.imag;
          return z;
      }
      #if 1
          static CYTHON_INLINE long double __Pyx_c_abs_long__double(__pyx_t_long_double_complex z) {
            #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
              return sqrtl(z.real*z.real + z.imag*z.imag);
            #else
              return hypotl(z.real, z.imag);
            #endif
          }
          static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_pow_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) {
              __pyx_t_long_double_complex z;
              long double r, lnr, theta, z_r, z_theta;
              if (b.imag == 0 && b.real == (int)b.real) {
                  if (b.real < 0) {
                      long double denom = a.real * a.real + a.imag * a.imag;
                      a.real = a.real / denom;
                      a.imag = -a.imag / denom;
                      b.real = -b.real;
                  }
                  switch ((int)b.real) {
                      case 0:
                          z.real = 1;
                          z.imag = 0;
                          return z;
                      case 1:
                          return a;
                      case 2:
                          return __Pyx_c_prod_long__double(a, a);
                      case 3:
                          z = __Pyx_c_prod_long__double(a, a);
                          return __Pyx_c_prod_long__double(z, a);
                      case 4:
                          z = __Pyx_c_prod_long__double(a, a);
                          return __Pyx_c_prod_long__double(z, z);
                  }
              }
              if (a.imag == 0) {
                  if (a.real == 0) {
                      return a;
                  } else if ((b.imag == 0) && (a.real >= 0)) {
                      z.real = powl(a.real, b.real);
                      z.imag = 0;
                      return z;
                  } else if (a.real > 0) {
                      r = a.real;
                      theta = 0;
                  } else {
                      r = -a.real;
                      theta = atan2l(0.0, -1.0);
                  }
              } else {
                  r = __Pyx_c_abs_long__double(a);
                  theta = atan2l(a.imag, a.real);
              }
              lnr = logl(r);
              z_r = expl(lnr * b.real - theta * b.imag);
              z_theta = theta * b.real + lnr * b.imag;
              z.real = z_r * cosl(z_theta);
              z.imag = z_r * sinl(z_theta);
              return z;
          }
      #endif
  #endif
  
/* CIntToPy */
  static CYTHON_INLINE PyObject* __Pyx_PyLong_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 PyLong_FromLong((long) value);
          } else if (sizeof(int) <= sizeof(unsigned long)) {
              return PyLong_FromUnsignedLong((unsigned long) value);
  #if !CYTHON_COMPILING_IN_PYPY
          } 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 PyLong_FromLong((long) value);
          } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
              return PyLong_FromLongLong((PY_LONG_LONG) value);
          }
      }
      {
          unsigned char *bytes = (unsigned char *)&value;
  #if !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x030d00A4
          if (is_unsigned) {
              return PyLong_FromUnsignedNativeBytes(bytes, sizeof(value), -1);
          } else {
              return PyLong_FromNativeBytes(bytes, sizeof(value), -1);
          }
  #elif !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030d0000
          int one = 1; int little = (int)*(unsigned char *)&one;
          return _PyLong_FromByteArray(bytes, sizeof(int),
                                       little, !is_unsigned);
  #else
          int one = 1; int little = (int)*(unsigned char *)&one;
          PyObject *from_bytes, *result = NULL, *kwds = NULL;
          PyObject *py_bytes = 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;
          {
              PyObject *args[3+(CYTHON_VECTORCALL ? 1 : 0)] = { NULL, py_bytes, order_str };
              if (!is_unsigned) {
                  kwds = __Pyx_MakeVectorcallBuilderKwds(1);
                  if (!kwds) goto limited_bad;
                  if (__Pyx_VectorcallBuilder_AddArgStr("signed", __Pyx_NewRef(Py_True), kwds, args+3, 0) < 0) goto limited_bad;
              }
              result = __Pyx_Object_Vectorcall_CallFromBuilder(from_bytes, args+1, 2 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET, kwds);
          }
          limited_bad:
          Py_XDECREF(kwds);
          Py_XDECREF(order_str);
          Py_XDECREF(py_bytes);
          Py_XDECREF(from_bytes);
          return result;
  #endif
      }
  }
  
/* CIntFromPy */
  static CYTHON_INLINE int __Pyx_PyLong_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 (unlikely(!PyLong_Check(x))) {
          int val;
          PyObject *tmp = __Pyx_PyNumber_Long(x);
          if (!tmp) return (int) -1;
          val = __Pyx_PyLong_As_int(tmp);
          Py_DECREF(tmp);
          return val;
      }
      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))
          } else if ((sizeof(int) <= sizeof(unsigned PY_LONG_LONG))) {
              __PYX_VERIFY_RETURN_INT_EXC(int, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
          }
      } 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))
          } else if ((sizeof(int) <= sizeof(PY_LONG_LONG))) {
              __PYX_VERIFY_RETURN_INT_EXC(int, PY_LONG_LONG, PyLong_AsLongLong(x))
          }
      }
      {
          int val;
          int ret = -1;
  #if PY_VERSION_HEX >= 0x030d00A6 && !CYTHON_COMPILING_IN_LIMITED_API
          Py_ssize_t bytes_copied = PyLong_AsNativeBytes(
              x, &val, sizeof(val), Py_ASNATIVEBYTES_NATIVE_ENDIAN | (is_unsigned ? Py_ASNATIVEBYTES_UNSIGNED_BUFFER | Py_ASNATIVEBYTES_REJECT_NEGATIVE : 0));
          if (unlikely(bytes_copied == -1)) {
          } else if (unlikely(bytes_copied > (Py_ssize_t) sizeof(val))) {
              goto raise_overflow;
          } else {
              ret = 0;
          }
  #elif 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 *)x,
                                      bytes, sizeof(val),
                                      is_little, !is_unsigned);
  #else
          PyObject *v;
          PyObject *stepval = NULL, *mask = NULL, *shift = NULL;
          int bits, remaining_bits, is_negative = 0;
          int chunk_size = (sizeof(long) < 8) ? 30 : 62;
          if (likely(PyLong_CheckExact(x))) {
              v = __Pyx_NewRef(x);
          } else {
              v = PyNumber_Long(x);
              if (unlikely(!v)) return (int) -1;
              assert(PyLong_CheckExact(v));
          }
          {
              int result = PyObject_RichCompareBool(v, Py_False, Py_LT);
              if (unlikely(result < 0)) {
                  Py_DECREF(v);
                  return (int) -1;
              }
              is_negative = result == 1;
          }
          if (is_unsigned && unlikely(is_negative)) {
              Py_DECREF(v);
              goto raise_neg_overflow;
          } else if (is_negative) {
              stepval = PyNumber_Invert(v);
              Py_DECREF(v);
              if (unlikely(!stepval))
                  return (int) -1;
          } else {
              stepval = v;
          }
          v = NULL;
          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;
              long idigit;
              digit = PyNumber_And(stepval, mask);
              if (unlikely(!digit)) goto done;
              idigit = PyLong_AsLong(digit);
              Py_DECREF(digit);
              if (unlikely(idigit < 0)) goto done;
              val |= ((int) idigit) << bits;
              tmp = PyNumber_Rshift(stepval, shift);
              if (unlikely(!tmp)) goto done;
              Py_DECREF(stepval); stepval = tmp;
          }
          Py_DECREF(shift); shift = NULL;
          Py_DECREF(mask); mask = NULL;
          {
              long 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 (!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
          if (unlikely(ret))
              return (int) -1;
          return val;
      }
  raise_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "value too large to convert to int");
      return (int) -1;
  raise_neg_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "can't convert negative value to int");
      return (int) -1;
  }
  
/* CIntFromPy */
  static CYTHON_INLINE uint64_t __Pyx_PyLong_As_uint64_t(PyObject *x) {
  #ifdef __Pyx_HAS_GCC_DIAGNOSTIC
  #pragma GCC diagnostic push
  #pragma GCC diagnostic ignored "-Wconversion"
  #endif
      const uint64_t neg_one = (uint64_t) -1, const_zero = (uint64_t) 0;
  #ifdef __Pyx_HAS_GCC_DIAGNOSTIC
  #pragma GCC diagnostic pop
  #endif
      const int is_unsigned = neg_one > const_zero;
      if (unlikely(!PyLong_Check(x))) {
          uint64_t val;
          PyObject *tmp = __Pyx_PyNumber_Long(x);
          if (!tmp) return (uint64_t) -1;
          val = __Pyx_PyLong_As_uint64_t(tmp);
          Py_DECREF(tmp);
          return val;
      }
      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(uint64_t, __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(uint64_t) > 1 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(uint64_t, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(uint64_t) >= 2 * PyLong_SHIFT)) {
                              return (uint64_t) (((((uint64_t)digits[1]) << PyLong_SHIFT) | (uint64_t)digits[0]));
                          }
                      }
                      break;
                  case 3:
                      if ((8 * sizeof(uint64_t) > 2 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(uint64_t, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(uint64_t) >= 3 * PyLong_SHIFT)) {
                              return (uint64_t) (((((((uint64_t)digits[2]) << PyLong_SHIFT) | (uint64_t)digits[1]) << PyLong_SHIFT) | (uint64_t)digits[0]));
                          }
                      }
                      break;
                  case 4:
                      if ((8 * sizeof(uint64_t) > 3 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(uint64_t, 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(uint64_t) >= 4 * PyLong_SHIFT)) {
                              return (uint64_t) (((((((((uint64_t)digits[3]) << PyLong_SHIFT) | (uint64_t)digits[2]) << PyLong_SHIFT) | (uint64_t)digits[1]) << PyLong_SHIFT) | (uint64_t)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 (uint64_t) -1;
              if (unlikely(result == 1))
                  goto raise_neg_overflow;
          }
  #endif
          if ((sizeof(uint64_t) <= sizeof(unsigned long))) {
              __PYX_VERIFY_RETURN_INT_EXC(uint64_t, unsigned long, PyLong_AsUnsignedLong(x))
          } else if ((sizeof(uint64_t) <= sizeof(unsigned PY_LONG_LONG))) {
              __PYX_VERIFY_RETURN_INT_EXC(uint64_t, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
          }
      } else {
  #if CYTHON_USE_PYLONG_INTERNALS
          if (__Pyx_PyLong_IsCompact(x)) {
              __PYX_VERIFY_RETURN_INT(uint64_t, __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(uint64_t) - 1 > 1 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(uint64_t, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(uint64_t) - 1 > 2 * PyLong_SHIFT)) {
                              return (uint64_t) (((uint64_t)-1)*(((((uint64_t)digits[1]) << PyLong_SHIFT) | (uint64_t)digits[0])));
                          }
                      }
                      break;
                  case 2:
                      if ((8 * sizeof(uint64_t) > 1 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(uint64_t, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(uint64_t) - 1 > 2 * PyLong_SHIFT)) {
                              return (uint64_t) ((((((uint64_t)digits[1]) << PyLong_SHIFT) | (uint64_t)digits[0])));
                          }
                      }
                      break;
                  case -3:
                      if ((8 * sizeof(uint64_t) - 1 > 2 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(uint64_t, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(uint64_t) - 1 > 3 * PyLong_SHIFT)) {
                              return (uint64_t) (((uint64_t)-1)*(((((((uint64_t)digits[2]) << PyLong_SHIFT) | (uint64_t)digits[1]) << PyLong_SHIFT) | (uint64_t)digits[0])));
                          }
                      }
                      break;
                  case 3:
                      if ((8 * sizeof(uint64_t) > 2 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(uint64_t, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(uint64_t) - 1 > 3 * PyLong_SHIFT)) {
                              return (uint64_t) ((((((((uint64_t)digits[2]) << PyLong_SHIFT) | (uint64_t)digits[1]) << PyLong_SHIFT) | (uint64_t)digits[0])));
                          }
                      }
                      break;
                  case -4:
                      if ((8 * sizeof(uint64_t) - 1 > 3 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(uint64_t, 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(uint64_t) - 1 > 4 * PyLong_SHIFT)) {
                              return (uint64_t) (((uint64_t)-1)*(((((((((uint64_t)digits[3]) << PyLong_SHIFT) | (uint64_t)digits[2]) << PyLong_SHIFT) | (uint64_t)digits[1]) << PyLong_SHIFT) | (uint64_t)digits[0])));
                          }
                      }
                      break;
                  case 4:
                      if ((8 * sizeof(uint64_t) > 3 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(uint64_t, 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(uint64_t) - 1 > 4 * PyLong_SHIFT)) {
                              return (uint64_t) ((((((((((uint64_t)digits[3]) << PyLong_SHIFT) | (uint64_t)digits[2]) << PyLong_SHIFT) | (uint64_t)digits[1]) << PyLong_SHIFT) | (uint64_t)digits[0])));
                          }
                      }
                      break;
              }
          }
  #endif
          if ((sizeof(uint64_t) <= sizeof(long))) {
              __PYX_VERIFY_RETURN_INT_EXC(uint64_t, long, PyLong_AsLong(x))
          } else if ((sizeof(uint64_t) <= sizeof(PY_LONG_LONG))) {
              __PYX_VERIFY_RETURN_INT_EXC(uint64_t, PY_LONG_LONG, PyLong_AsLongLong(x))
          }
      }
      {
          uint64_t val;
          int ret = -1;
  #if PY_VERSION_HEX >= 0x030d00A6 && !CYTHON_COMPILING_IN_LIMITED_API
          Py_ssize_t bytes_copied = PyLong_AsNativeBytes(
              x, &val, sizeof(val), Py_ASNATIVEBYTES_NATIVE_ENDIAN | (is_unsigned ? Py_ASNATIVEBYTES_UNSIGNED_BUFFER | Py_ASNATIVEBYTES_REJECT_NEGATIVE : 0));
          if (unlikely(bytes_copied == -1)) {
          } else if (unlikely(bytes_copied > (Py_ssize_t) sizeof(val))) {
              goto raise_overflow;
          } else {
              ret = 0;
          }
  #elif 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 *)x,
                                      bytes, sizeof(val),
                                      is_little, !is_unsigned);
  #else
          PyObject *v;
          PyObject *stepval = NULL, *mask = NULL, *shift = NULL;
          int bits, remaining_bits, is_negative = 0;
          int chunk_size = (sizeof(long) < 8) ? 30 : 62;
          if (likely(PyLong_CheckExact(x))) {
              v = __Pyx_NewRef(x);
          } else {
              v = PyNumber_Long(x);
              if (unlikely(!v)) return (uint64_t) -1;
              assert(PyLong_CheckExact(v));
          }
          {
              int result = PyObject_RichCompareBool(v, Py_False, Py_LT);
              if (unlikely(result < 0)) {
                  Py_DECREF(v);
                  return (uint64_t) -1;
              }
              is_negative = result == 1;
          }
          if (is_unsigned && unlikely(is_negative)) {
              Py_DECREF(v);
              goto raise_neg_overflow;
          } else if (is_negative) {
              stepval = PyNumber_Invert(v);
              Py_DECREF(v);
              if (unlikely(!stepval))
                  return (uint64_t) -1;
          } else {
              stepval = v;
          }
          v = NULL;
          val = (uint64_t) 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(uint64_t) * 8 - chunk_size; bits += chunk_size) {
              PyObject *tmp, *digit;
              long idigit;
              digit = PyNumber_And(stepval, mask);
              if (unlikely(!digit)) goto done;
              idigit = PyLong_AsLong(digit);
              Py_DECREF(digit);
              if (unlikely(idigit < 0)) goto done;
              val |= ((uint64_t) idigit) << bits;
              tmp = PyNumber_Rshift(stepval, shift);
              if (unlikely(!tmp)) goto done;
              Py_DECREF(stepval); stepval = tmp;
          }
          Py_DECREF(shift); shift = NULL;
          Py_DECREF(mask); mask = NULL;
          {
              long idigit = PyLong_AsLong(stepval);
              if (unlikely(idigit < 0)) goto done;
              remaining_bits = ((int) sizeof(uint64_t) * 8) - bits - (is_unsigned ? 0 : 1);
              if (unlikely(idigit >= (1L << remaining_bits)))
                  goto raise_overflow;
              val |= ((uint64_t) idigit) << bits;
          }
          if (!is_unsigned) {
              if (unlikely(val & (((uint64_t) 1) << (sizeof(uint64_t) * 8 - 1))))
                  goto raise_overflow;
              if (is_negative)
                  val = ~val;
          }
          ret = 0;
      done:
          Py_XDECREF(shift);
          Py_XDECREF(mask);
          Py_XDECREF(stepval);
  #endif
          if (unlikely(ret))
              return (uint64_t) -1;
          return val;
      }
  raise_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "value too large to convert to uint64_t");
      return (uint64_t) -1;
  raise_neg_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "can't convert negative value to uint64_t");
      return (uint64_t) -1;
  }
  
/* CIntToPy */
  static CYTHON_INLINE PyObject* __Pyx_PyLong_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 PyLong_FromLong((long) value);
          } else if (sizeof(long) <= sizeof(unsigned long)) {
              return PyLong_FromUnsignedLong((unsigned long) value);
  #if !CYTHON_COMPILING_IN_PYPY
          } 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 PyLong_FromLong((long) value);
          } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
              return PyLong_FromLongLong((PY_LONG_LONG) value);
          }
      }
      {
          unsigned char *bytes = (unsigned char *)&value;
  #if !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x030d00A4
          if (is_unsigned) {
              return PyLong_FromUnsignedNativeBytes(bytes, sizeof(value), -1);
          } else {
              return PyLong_FromNativeBytes(bytes, sizeof(value), -1);
          }
  #elif !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030d0000
          int one = 1; int little = (int)*(unsigned char *)&one;
          return _PyLong_FromByteArray(bytes, sizeof(long),
                                       little, !is_unsigned);
  #else
          int one = 1; int little = (int)*(unsigned char *)&one;
          PyObject *from_bytes, *result = NULL, *kwds = NULL;
          PyObject *py_bytes = 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;
          {
              PyObject *args[3+(CYTHON_VECTORCALL ? 1 : 0)] = { NULL, py_bytes, order_str };
              if (!is_unsigned) {
                  kwds = __Pyx_MakeVectorcallBuilderKwds(1);
                  if (!kwds) goto limited_bad;
                  if (__Pyx_VectorcallBuilder_AddArgStr("signed", __Pyx_NewRef(Py_True), kwds, args+3, 0) < 0) goto limited_bad;
              }
              result = __Pyx_Object_Vectorcall_CallFromBuilder(from_bytes, args+1, 2 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET, kwds);
          }
          limited_bad:
          Py_XDECREF(kwds);
          Py_XDECREF(order_str);
          Py_XDECREF(py_bytes);
          Py_XDECREF(from_bytes);
          return result;
  #endif
      }
  }
  
/* CIntFromPy */
  static CYTHON_INLINE size_t __Pyx_PyLong_As_size_t(PyObject *x) {
  #ifdef __Pyx_HAS_GCC_DIAGNOSTIC
  #pragma GCC diagnostic push
  #pragma GCC diagnostic ignored "-Wconversion"
  #endif
      const size_t neg_one = (size_t) -1, const_zero = (size_t) 0;
  #ifdef __Pyx_HAS_GCC_DIAGNOSTIC
  #pragma GCC diagnostic pop
  #endif
      const int is_unsigned = neg_one > const_zero;
      if (unlikely(!PyLong_Check(x))) {
          size_t val;
          PyObject *tmp = __Pyx_PyNumber_Long(x);
          if (!tmp) return (size_t) -1;
          val = __Pyx_PyLong_As_size_t(tmp);
          Py_DECREF(tmp);
          return val;
      }
      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(size_t, __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(size_t) > 1 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(size_t, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(size_t) >= 2 * PyLong_SHIFT)) {
                              return (size_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
                          }
                      }
                      break;
                  case 3:
                      if ((8 * sizeof(size_t) > 2 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(size_t, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(size_t) >= 3 * PyLong_SHIFT)) {
                              return (size_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
                          }
                      }
                      break;
                  case 4:
                      if ((8 * sizeof(size_t) > 3 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(size_t, 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(size_t) >= 4 * PyLong_SHIFT)) {
                              return (size_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
  #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 (size_t) -1;
              if (unlikely(result == 1))
                  goto raise_neg_overflow;
          }
  #endif
          if ((sizeof(size_t) <= sizeof(unsigned long))) {
              __PYX_VERIFY_RETURN_INT_EXC(size_t, unsigned long, PyLong_AsUnsignedLong(x))
          } else if ((sizeof(size_t) <= sizeof(unsigned PY_LONG_LONG))) {
              __PYX_VERIFY_RETURN_INT_EXC(size_t, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
          }
      } else {
  #if CYTHON_USE_PYLONG_INTERNALS
          if (__Pyx_PyLong_IsCompact(x)) {
              __PYX_VERIFY_RETURN_INT(size_t, __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(size_t) - 1 > 1 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(size_t, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(size_t) - 1 > 2 * PyLong_SHIFT)) {
                              return (size_t) (((size_t)-1)*(((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])));
                          }
                      }
                      break;
                  case 2:
                      if ((8 * sizeof(size_t) > 1 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(size_t, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(size_t) - 1 > 2 * PyLong_SHIFT)) {
                              return (size_t) ((((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])));
                          }
                      }
                      break;
                  case -3:
                      if ((8 * sizeof(size_t) - 1 > 2 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(size_t, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(size_t) - 1 > 3 * PyLong_SHIFT)) {
                              return (size_t) (((size_t)-1)*(((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])));
                          }
                      }
                      break;
                  case 3:
                      if ((8 * sizeof(size_t) > 2 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(size_t, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(size_t) - 1 > 3 * PyLong_SHIFT)) {
                              return (size_t) ((((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])));
                          }
                      }
                      break;
                  case -4:
                      if ((8 * sizeof(size_t) - 1 > 3 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(size_t, 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(size_t) - 1 > 4 * PyLong_SHIFT)) {
                              return (size_t) (((size_t)-1)*(((((((((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(size_t) > 3 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(size_t, 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(size_t) - 1 > 4 * PyLong_SHIFT)) {
                              return (size_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
          if ((sizeof(size_t) <= sizeof(long))) {
              __PYX_VERIFY_RETURN_INT_EXC(size_t, long, PyLong_AsLong(x))
          } else if ((sizeof(size_t) <= sizeof(PY_LONG_LONG))) {
              __PYX_VERIFY_RETURN_INT_EXC(size_t, PY_LONG_LONG, PyLong_AsLongLong(x))
          }
      }
      {
          size_t val;
          int ret = -1;
  #if PY_VERSION_HEX >= 0x030d00A6 && !CYTHON_COMPILING_IN_LIMITED_API
          Py_ssize_t bytes_copied = PyLong_AsNativeBytes(
              x, &val, sizeof(val), Py_ASNATIVEBYTES_NATIVE_ENDIAN | (is_unsigned ? Py_ASNATIVEBYTES_UNSIGNED_BUFFER | Py_ASNATIVEBYTES_REJECT_NEGATIVE : 0));
          if (unlikely(bytes_copied == -1)) {
          } else if (unlikely(bytes_copied > (Py_ssize_t) sizeof(val))) {
              goto raise_overflow;
          } else {
              ret = 0;
          }
  #elif 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 *)x,
                                      bytes, sizeof(val),
                                      is_little, !is_unsigned);
  #else
          PyObject *v;
          PyObject *stepval = NULL, *mask = NULL, *shift = NULL;
          int bits, remaining_bits, is_negative = 0;
          int chunk_size = (sizeof(long) < 8) ? 30 : 62;
          if (likely(PyLong_CheckExact(x))) {
              v = __Pyx_NewRef(x);
          } else {
              v = PyNumber_Long(x);
              if (unlikely(!v)) return (size_t) -1;
              assert(PyLong_CheckExact(v));
          }
          {
              int result = PyObject_RichCompareBool(v, Py_False, Py_LT);
              if (unlikely(result < 0)) {
                  Py_DECREF(v);
                  return (size_t) -1;
              }
              is_negative = result == 1;
          }
          if (is_unsigned && unlikely(is_negative)) {
              Py_DECREF(v);
              goto raise_neg_overflow;
          } else if (is_negative) {
              stepval = PyNumber_Invert(v);
              Py_DECREF(v);
              if (unlikely(!stepval))
                  return (size_t) -1;
          } else {
              stepval = v;
          }
          v = NULL;
          val = (size_t) 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(size_t) * 8 - chunk_size; bits += chunk_size) {
              PyObject *tmp, *digit;
              long idigit;
              digit = PyNumber_And(stepval, mask);
              if (unlikely(!digit)) goto done;
              idigit = PyLong_AsLong(digit);
              Py_DECREF(digit);
              if (unlikely(idigit < 0)) goto done;
              val |= ((size_t) idigit) << bits;
              tmp = PyNumber_Rshift(stepval, shift);
              if (unlikely(!tmp)) goto done;
              Py_DECREF(stepval); stepval = tmp;
          }
          Py_DECREF(shift); shift = NULL;
          Py_DECREF(mask); mask = NULL;
          {
              long idigit = PyLong_AsLong(stepval);
              if (unlikely(idigit < 0)) goto done;
              remaining_bits = ((int) sizeof(size_t) * 8) - bits - (is_unsigned ? 0 : 1);
              if (unlikely(idigit >= (1L << remaining_bits)))
                  goto raise_overflow;
              val |= ((size_t) idigit) << bits;
          }
          if (!is_unsigned) {
              if (unlikely(val & (((size_t) 1) << (sizeof(size_t) * 8 - 1))))
                  goto raise_overflow;
              if (is_negative)
                  val = ~val;
          }
          ret = 0;
      done:
          Py_XDECREF(shift);
          Py_XDECREF(mask);
          Py_XDECREF(stepval);
  #endif
          if (unlikely(ret))
              return (size_t) -1;
          return val;
      }
  raise_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "value too large to convert to size_t");
      return (size_t) -1;
  raise_neg_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "can't convert negative value to size_t");
      return (size_t) -1;
  }
  
/* CIntToPy */
  static CYTHON_INLINE PyObject* __Pyx_PyLong_From_PY_LONG_LONG(PY_LONG_LONG value) {
  #ifdef __Pyx_HAS_GCC_DIAGNOSTIC
  #pragma GCC diagnostic push
  #pragma GCC diagnostic ignored "-Wconversion"
  #endif
      const PY_LONG_LONG neg_one = (PY_LONG_LONG) -1, const_zero = (PY_LONG_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(PY_LONG_LONG) < sizeof(long)) {
              return PyLong_FromLong((long) value);
          } else if (sizeof(PY_LONG_LONG) <= sizeof(unsigned long)) {
              return PyLong_FromUnsignedLong((unsigned long) value);
  #if !CYTHON_COMPILING_IN_PYPY
          } else if (sizeof(PY_LONG_LONG) <= sizeof(unsigned PY_LONG_LONG)) {
              return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
  #endif
          }
      } else {
          if (sizeof(PY_LONG_LONG) <= sizeof(long)) {
              return PyLong_FromLong((long) value);
          } else if (sizeof(PY_LONG_LONG) <= sizeof(PY_LONG_LONG)) {
              return PyLong_FromLongLong((PY_LONG_LONG) value);
          }
      }
      {
          unsigned char *bytes = (unsigned char *)&value;
  #if !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x030d00A4
          if (is_unsigned) {
              return PyLong_FromUnsignedNativeBytes(bytes, sizeof(value), -1);
          } else {
              return PyLong_FromNativeBytes(bytes, sizeof(value), -1);
          }
  #elif !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030d0000
          int one = 1; int little = (int)*(unsigned char *)&one;
          return _PyLong_FromByteArray(bytes, sizeof(PY_LONG_LONG),
                                       little, !is_unsigned);
  #else
          int one = 1; int little = (int)*(unsigned char *)&one;
          PyObject *from_bytes, *result = NULL, *kwds = NULL;
          PyObject *py_bytes = 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(PY_LONG_LONG));
          if (!py_bytes) goto limited_bad;
          order_str = PyUnicode_FromString(little ? "little" : "big");
          if (!order_str) goto limited_bad;
          {
              PyObject *args[3+(CYTHON_VECTORCALL ? 1 : 0)] = { NULL, py_bytes, order_str };
              if (!is_unsigned) {
                  kwds = __Pyx_MakeVectorcallBuilderKwds(1);
                  if (!kwds) goto limited_bad;
                  if (__Pyx_VectorcallBuilder_AddArgStr("signed", __Pyx_NewRef(Py_True), kwds, args+3, 0) < 0) goto limited_bad;
              }
              result = __Pyx_Object_Vectorcall_CallFromBuilder(from_bytes, args+1, 2 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET, kwds);
          }
          limited_bad:
          Py_XDECREF(kwds);
          Py_XDECREF(order_str);
          Py_XDECREF(py_bytes);
          Py_XDECREF(from_bytes);
          return result;
  #endif
      }
  }
  
/* CIntFromPy */
  static CYTHON_INLINE PY_LONG_LONG __Pyx_PyLong_As_PY_LONG_LONG(PyObject *x) {
  #ifdef __Pyx_HAS_GCC_DIAGNOSTIC
  #pragma GCC diagnostic push
  #pragma GCC diagnostic ignored "-Wconversion"
  #endif
      const PY_LONG_LONG neg_one = (PY_LONG_LONG) -1, const_zero = (PY_LONG_LONG) 0;
  #ifdef __Pyx_HAS_GCC_DIAGNOSTIC
  #pragma GCC diagnostic pop
  #endif
      const int is_unsigned = neg_one > const_zero;
      if (unlikely(!PyLong_Check(x))) {
          PY_LONG_LONG val;
          PyObject *tmp = __Pyx_PyNumber_Long(x);
          if (!tmp) return (PY_LONG_LONG) -1;
          val = __Pyx_PyLong_As_PY_LONG_LONG(tmp);
          Py_DECREF(tmp);
          return val;
      }
      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(PY_LONG_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(PY_LONG_LONG) > 1 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(PY_LONG_LONG, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(PY_LONG_LONG) >= 2 * PyLong_SHIFT)) {
                              return (PY_LONG_LONG) (((((PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (PY_LONG_LONG)digits[0]));
                          }
                      }
                      break;
                  case 3:
                      if ((8 * sizeof(PY_LONG_LONG) > 2 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(PY_LONG_LONG, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(PY_LONG_LONG) >= 3 * PyLong_SHIFT)) {
                              return (PY_LONG_LONG) (((((((PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (PY_LONG_LONG)digits[0]));
                          }
                      }
                      break;
                  case 4:
                      if ((8 * sizeof(PY_LONG_LONG) > 3 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(PY_LONG_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(PY_LONG_LONG) >= 4 * PyLong_SHIFT)) {
                              return (PY_LONG_LONG) (((((((((PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (PY_LONG_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 (PY_LONG_LONG) -1;
              if (unlikely(result == 1))
                  goto raise_neg_overflow;
          }
  #endif
          if ((sizeof(PY_LONG_LONG) <= sizeof(unsigned long))) {
              __PYX_VERIFY_RETURN_INT_EXC(PY_LONG_LONG, unsigned long, PyLong_AsUnsignedLong(x))
          } else if ((sizeof(PY_LONG_LONG) <= sizeof(unsigned PY_LONG_LONG))) {
              __PYX_VERIFY_RETURN_INT_EXC(PY_LONG_LONG, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
          }
      } else {
  #if CYTHON_USE_PYLONG_INTERNALS
          if (__Pyx_PyLong_IsCompact(x)) {
              __PYX_VERIFY_RETURN_INT(PY_LONG_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(PY_LONG_LONG) - 1 > 1 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(PY_LONG_LONG, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT)) {
                              return (PY_LONG_LONG) (((PY_LONG_LONG)-1)*(((((PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (PY_LONG_LONG)digits[0])));
                          }
                      }
                      break;
                  case 2:
                      if ((8 * sizeof(PY_LONG_LONG) > 1 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(PY_LONG_LONG, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT)) {
                              return (PY_LONG_LONG) ((((((PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (PY_LONG_LONG)digits[0])));
                          }
                      }
                      break;
                  case -3:
                      if ((8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(PY_LONG_LONG, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT)) {
                              return (PY_LONG_LONG) (((PY_LONG_LONG)-1)*(((((((PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (PY_LONG_LONG)digits[0])));
                          }
                      }
                      break;
                  case 3:
                      if ((8 * sizeof(PY_LONG_LONG) > 2 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(PY_LONG_LONG, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT)) {
                              return (PY_LONG_LONG) ((((((((PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (PY_LONG_LONG)digits[0])));
                          }
                      }
                      break;
                  case -4:
                      if ((8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(PY_LONG_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(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT)) {
                              return (PY_LONG_LONG) (((PY_LONG_LONG)-1)*(((((((((PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (PY_LONG_LONG)digits[0])));
                          }
                      }
                      break;
                  case 4:
                      if ((8 * sizeof(PY_LONG_LONG) > 3 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(PY_LONG_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(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT)) {
                              return (PY_LONG_LONG) ((((((((((PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (PY_LONG_LONG)digits[0])));
                          }
                      }
                      break;
              }
          }
  #endif
          if ((sizeof(PY_LONG_LONG) <= sizeof(long))) {
              __PYX_VERIFY_RETURN_INT_EXC(PY_LONG_LONG, long, PyLong_AsLong(x))
          } else if ((sizeof(PY_LONG_LONG) <= sizeof(PY_LONG_LONG))) {
              __PYX_VERIFY_RETURN_INT_EXC(PY_LONG_LONG, PY_LONG_LONG, PyLong_AsLongLong(x))
          }
      }
      {
          PY_LONG_LONG val;
          int ret = -1;
  #if PY_VERSION_HEX >= 0x030d00A6 && !CYTHON_COMPILING_IN_LIMITED_API
          Py_ssize_t bytes_copied = PyLong_AsNativeBytes(
              x, &val, sizeof(val), Py_ASNATIVEBYTES_NATIVE_ENDIAN | (is_unsigned ? Py_ASNATIVEBYTES_UNSIGNED_BUFFER | Py_ASNATIVEBYTES_REJECT_NEGATIVE : 0));
          if (unlikely(bytes_copied == -1)) {
          } else if (unlikely(bytes_copied > (Py_ssize_t) sizeof(val))) {
              goto raise_overflow;
          } else {
              ret = 0;
          }
  #elif 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 *)x,
                                      bytes, sizeof(val),
                                      is_little, !is_unsigned);
  #else
          PyObject *v;
          PyObject *stepval = NULL, *mask = NULL, *shift = NULL;
          int bits, remaining_bits, is_negative = 0;
          int chunk_size = (sizeof(long) < 8) ? 30 : 62;
          if (likely(PyLong_CheckExact(x))) {
              v = __Pyx_NewRef(x);
          } else {
              v = PyNumber_Long(x);
              if (unlikely(!v)) return (PY_LONG_LONG) -1;
              assert(PyLong_CheckExact(v));
          }
          {
              int result = PyObject_RichCompareBool(v, Py_False, Py_LT);
              if (unlikely(result < 0)) {
                  Py_DECREF(v);
                  return (PY_LONG_LONG) -1;
              }
              is_negative = result == 1;
          }
          if (is_unsigned && unlikely(is_negative)) {
              Py_DECREF(v);
              goto raise_neg_overflow;
          } else if (is_negative) {
              stepval = PyNumber_Invert(v);
              Py_DECREF(v);
              if (unlikely(!stepval))
                  return (PY_LONG_LONG) -1;
          } else {
              stepval = v;
          }
          v = NULL;
          val = (PY_LONG_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(PY_LONG_LONG) * 8 - chunk_size; bits += chunk_size) {
              PyObject *tmp, *digit;
              long idigit;
              digit = PyNumber_And(stepval, mask);
              if (unlikely(!digit)) goto done;
              idigit = PyLong_AsLong(digit);
              Py_DECREF(digit);
              if (unlikely(idigit < 0)) goto done;
              val |= ((PY_LONG_LONG) idigit) << bits;
              tmp = PyNumber_Rshift(stepval, shift);
              if (unlikely(!tmp)) goto done;
              Py_DECREF(stepval); stepval = tmp;
          }
          Py_DECREF(shift); shift = NULL;
          Py_DECREF(mask); mask = NULL;
          {
              long idigit = PyLong_AsLong(stepval);
              if (unlikely(idigit < 0)) goto done;
              remaining_bits = ((int) sizeof(PY_LONG_LONG) * 8) - bits - (is_unsigned ? 0 : 1);
              if (unlikely(idigit >= (1L << remaining_bits)))
                  goto raise_overflow;
              val |= ((PY_LONG_LONG) idigit) << bits;
          }
          if (!is_unsigned) {
              if (unlikely(val & (((PY_LONG_LONG) 1) << (sizeof(PY_LONG_LONG) * 8 - 1))))
                  goto raise_overflow;
              if (is_negative)
                  val = ~val;
          }
          ret = 0;
      done:
          Py_XDECREF(shift);
          Py_XDECREF(mask);
          Py_XDECREF(stepval);
  #endif
          if (unlikely(ret))
              return (PY_LONG_LONG) -1;
          return val;
      }
  raise_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "value too large to convert to PY_LONG_LONG");
      return (PY_LONG_LONG) -1;
  raise_neg_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "can't convert negative value to PY_LONG_LONG");
      return (PY_LONG_LONG) -1;
  }
  
/* FormatTypeName */
  #if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030d0000
  static __Pyx_TypeName
  __Pyx_PyType_GetFullyQualifiedName(PyTypeObject* tp)
  {
      PyObject *module = NULL, *name = NULL, *result = NULL;
      #if __PYX_LIMITED_VERSION_HEX < 0x030b0000
      name = __Pyx_PyObject_GetAttrStr((PyObject *)tp,
                                                 __pyx_mstate_global->__pyx_n_u_qualname);
      #else
      name = PyType_GetQualName(tp);
      #endif
      if (unlikely(name == NULL) || unlikely(!PyUnicode_Check(name))) goto bad;
      module = __Pyx_PyObject_GetAttrStr((PyObject *)tp,
                                                 __pyx_mstate_global->__pyx_n_u_module);
      if (unlikely(module == NULL) || unlikely(!PyUnicode_Check(module))) goto bad;
      if (PyUnicode_CompareWithASCIIString(module, "builtins") == 0) {
          result = name;
          name = NULL;
          goto done;
      }
      result = PyUnicode_FromFormat("%U.%U", module, name);
      if (unlikely(result == NULL)) goto bad;
    done:
      Py_XDECREF(name);
      Py_XDECREF(module);
      return result;
    bad:
      PyErr_Clear();
      if (name) {
          result = name;
          name = NULL;
      } else {
          result = __Pyx_NewRef(__pyx_mstate_global->__pyx_kp_u__6);
      }
      goto done;
  }
  #endif
  
/* CIntFromPy */
  static CYTHON_INLINE long __Pyx_PyLong_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 (unlikely(!PyLong_Check(x))) {
          long val;
          PyObject *tmp = __Pyx_PyNumber_Long(x);
          if (!tmp) return (long) -1;
          val = __Pyx_PyLong_As_long(tmp);
          Py_DECREF(tmp);
          return val;
      }
      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))
          } else if ((sizeof(long) <= sizeof(unsigned PY_LONG_LONG))) {
              __PYX_VERIFY_RETURN_INT_EXC(long, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
          }
      } 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))
          } else if ((sizeof(long) <= sizeof(PY_LONG_LONG))) {
              __PYX_VERIFY_RETURN_INT_EXC(long, PY_LONG_LONG, PyLong_AsLongLong(x))
          }
      }
      {
          long val;
          int ret = -1;
  #if PY_VERSION_HEX >= 0x030d00A6 && !CYTHON_COMPILING_IN_LIMITED_API
          Py_ssize_t bytes_copied = PyLong_AsNativeBytes(
              x, &val, sizeof(val), Py_ASNATIVEBYTES_NATIVE_ENDIAN | (is_unsigned ? Py_ASNATIVEBYTES_UNSIGNED_BUFFER | Py_ASNATIVEBYTES_REJECT_NEGATIVE : 0));
          if (unlikely(bytes_copied == -1)) {
          } else if (unlikely(bytes_copied > (Py_ssize_t) sizeof(val))) {
              goto raise_overflow;
          } else {
              ret = 0;
          }
  #elif 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 *)x,
                                      bytes, sizeof(val),
                                      is_little, !is_unsigned);
  #else
          PyObject *v;
          PyObject *stepval = NULL, *mask = NULL, *shift = NULL;
          int bits, remaining_bits, is_negative = 0;
          int chunk_size = (sizeof(long) < 8) ? 30 : 62;
          if (likely(PyLong_CheckExact(x))) {
              v = __Pyx_NewRef(x);
          } else {
              v = PyNumber_Long(x);
              if (unlikely(!v)) return (long) -1;
              assert(PyLong_CheckExact(v));
          }
          {
              int result = PyObject_RichCompareBool(v, Py_False, Py_LT);
              if (unlikely(result < 0)) {
                  Py_DECREF(v);
                  return (long) -1;
              }
              is_negative = result == 1;
          }
          if (is_unsigned && unlikely(is_negative)) {
              Py_DECREF(v);
              goto raise_neg_overflow;
          } else if (is_negative) {
              stepval = PyNumber_Invert(v);
              Py_DECREF(v);
              if (unlikely(!stepval))
                  return (long) -1;
          } else {
              stepval = v;
          }
          v = NULL;
          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;
              long idigit;
              digit = PyNumber_And(stepval, mask);
              if (unlikely(!digit)) goto done;
              idigit = PyLong_AsLong(digit);
              Py_DECREF(digit);
              if (unlikely(idigit < 0)) goto done;
              val |= ((long) idigit) << bits;
              tmp = PyNumber_Rshift(stepval, shift);
              if (unlikely(!tmp)) goto done;
              Py_DECREF(stepval); stepval = tmp;
          }
          Py_DECREF(shift); shift = NULL;
          Py_DECREF(mask); mask = NULL;
          {
              long 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 (!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
          if (unlikely(ret))
              return (long) -1;
          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;
  }
  
/* 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);
  }
  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);
      }
  }
  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);
      for (i=0; i<n; i++) {
          if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
      }
      for (i=0; i<n; i++) {
          PyObject *t = PyTuple_GET_ITEM(tuple, i);
          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
  
/* GetRuntimeVersion */
  #if __PYX_LIMITED_VERSION_HEX < 0x030b0000
  void __Pyx_init_runtime_version(void) {
      if (__Pyx_cached_runtime_version == 0) {
          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;
          }
          __Pyx_cached_runtime_version = version;
      }
  }
  #endif
  static unsigned long __Pyx_get_runtime_version(void) {
  #if __PYX_LIMITED_VERSION_HEX >= 0x030b0000
      return Py_Version & ~0xFFUL;
  #else
      return __Pyx_cached_runtime_version;
  #endif
  }
  
/* SwapException (used by CoroutineBase) */
  #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
  
/* IterNextPlain (used by CoroutineBase) */
  #if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
  static PyObject *__Pyx_GetBuiltinNext_LimitedAPI(void) {
      if (unlikely(!__pyx_mstate_global->__Pyx_GetBuiltinNext_LimitedAPI_cache))
          __pyx_mstate_global->__Pyx_GetBuiltinNext_LimitedAPI_cache = __Pyx_GetBuiltinName(__pyx_mstate_global->__pyx_n_u_next);
      return __pyx_mstate_global->__Pyx_GetBuiltinNext_LimitedAPI_cache;
  }
  #endif
  static CYTHON_INLINE PyObject *__Pyx_PyIter_Next_Plain(PyObject *iterator) {
  #if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
      PyObject *result;
      PyObject *next = __Pyx_GetBuiltinNext_LimitedAPI();
      if (unlikely(!next)) return NULL;
      result = PyObject_CallFunctionObjArgs(next, iterator, NULL);
      return result;
  #else
      (void)__Pyx_GetBuiltinName; // only for early limited API
      iternextfunc iternext = __Pyx_PyObject_GetIterNextFunc(iterator);
      assert(iternext);
      return iternext(iterator);
  #endif
  }
  
/* PyObjectCallMethod1 (used by CoroutineBase) */
  #if !(CYTHON_VECTORCALL && (__PYX_LIMITED_VERSION_HEX >= 0x030C0000 || (!CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x03090000)))
  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 >= 0x030C0000 || (!CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x03090000))
      PyObject *args[2] = {obj, arg};
      (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
  }
  
/* ReturnWithStopIteration (used by CoroutineBase) */
  static void __Pyx__ReturnWithStopIteration(PyObject* value, int async);
  static CYTHON_INLINE void __Pyx_ReturnWithStopIteration(PyObject* value, int async, int iternext) {
      if (value == Py_None) {
          if (async || !iternext)
              PyErr_SetNone(async ? PyExc_StopAsyncIteration : PyExc_StopIteration);
          return;
      }
      __Pyx__ReturnWithStopIteration(value, async);
  }
  static void __Pyx__ReturnWithStopIteration(PyObject* value, int async) {
  #if CYTHON_COMPILING_IN_CPYTHON
      __Pyx_PyThreadState_declare
  #endif
      PyObject *exc;
      PyObject *exc_type = async ? PyExc_StopAsyncIteration : PyExc_StopIteration;
  #if CYTHON_COMPILING_IN_CPYTHON
      if ((PY_VERSION_HEX >= (0x030C00A6)) || unlikely(PyTuple_Check(value) || PyExceptionInstance_Check(value))) {
          if (PY_VERSION_HEX >= (0x030e00A1)) {
              exc = __Pyx_PyObject_CallOneArg(exc_type, value);
          } else {
              PyObject *args_tuple = PyTuple_New(1);
              if (unlikely(!args_tuple)) return;
              Py_INCREF(value);
              PyTuple_SET_ITEM(args_tuple, 0, value);
              exc = PyObject_Call(exc_type, args_tuple, NULL);
              Py_DECREF(args_tuple);
          }
          if (unlikely(!exc)) return;
      } else {
          Py_INCREF(value);
          exc = value;
      }
      #if CYTHON_FAST_THREAD_STATE
      __Pyx_PyThreadState_assign
      #if CYTHON_USE_EXC_INFO_STACK
      if (!__pyx_tstate->exc_info->exc_value)
      #else
      if (!__pyx_tstate->exc_type)
      #endif
      {
          Py_INCREF(exc_type);
          __Pyx_ErrRestore(exc_type, exc, NULL);
          return;
      }
      #endif
  #else
      exc = __Pyx_PyObject_CallOneArg(exc_type, value);
      if (unlikely(!exc)) return;
  #endif
      PyErr_SetObject(exc_type, exc);
      Py_DECREF(exc);
  }
  
/* CoroutineBase (used by Generator) */
  #if !CYTHON_COMPILING_IN_LIMITED_API
  #include <frameobject.h>
  #if PY_VERSION_HEX >= 0x030b00a6 && !defined(PYPY_VERSION)
    #ifndef Py_BUILD_CORE
      #define Py_BUILD_CORE 1
    #endif
    #include "internal/pycore_frame.h"
  #endif
  #endif // CYTHON_COMPILING_IN_LIMITED_API
  static CYTHON_INLINE void
  __Pyx_Coroutine_Undelegate(__pyx_CoroutineObject *gen) {
  #if CYTHON_USE_AM_SEND
      gen->yieldfrom_am_send = NULL;
  #endif
      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;
          }
          else if (likely(__Pyx_IS_TYPE(ev, (PyTypeObject*)PyExc_StopIteration))) {
              #if CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_GRAAL
              value = PyObject_GetAttr(ev, __pyx_mstate_global->__pyx_n_u_value);
              if (unlikely(!value)) goto limited_api_failure;
              #else
              value = ((PyStopIterationObject *)ev)->value;
              Py_INCREF(value);
              #endif
              Py_DECREF(ev);
          }
          else if (unlikely(PyTuple_Check(ev))) {
              Py_ssize_t tuple_size = __Pyx_PyTuple_GET_SIZE(ev);
              #if !CYTHON_ASSUME_SAFE_SIZE
              if (unlikely(tuple_size < 0)) {
                  Py_XDECREF(tb);
                  Py_DECREF(ev);
                  Py_DECREF(et);
                  return -1;
              }
              #endif
              if (tuple_size >= 1) {
  #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
                  value = PyTuple_GET_ITEM(ev, 0);
                  Py_INCREF(value);
  #elif CYTHON_ASSUME_SAFE_MACROS
                  value = PySequence_ITEM(ev, 0);
  #else
                  value = PySequence_GetItem(ev, 0);
                  if (!value) goto limited_api_failure;
  #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 CYTHON_COMPILING_IN_LIMITED_API
      value = PyObject_GetAttr(ev, __pyx_mstate_global->__pyx_n_u_value);
  #else
      value = ((PyStopIterationObject *)ev)->value;
      Py_INCREF(value);
  #endif
      Py_DECREF(ev);
  #if CYTHON_COMPILING_IN_LIMITED_API
      if (unlikely(!value)) return -1;
  #endif
      *pvalue = value;
      return 0;
  #if CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_GRAAL || !CYTHON_ASSUME_SAFE_MACROS
    limited_api_failure:
      Py_XDECREF(et);
      Py_XDECREF(tb);
      Py_XDECREF(ev);
      return -1;
  #endif
  }
  static CYTHON_INLINE
  __Pyx_PySendResult __Pyx_Coroutine_status_from_result(PyObject **retval) {
      if (*retval) {
          return PYGEN_NEXT;
      } else if (likely(__Pyx_PyGen__FetchStopIterationValue(__Pyx_PyThreadState_Current, retval) == 0)) {
          return PYGEN_RETURN;
      } else {
          return PYGEN_ERROR;
      }
  }
  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);
  }
  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(PyExc_StopAsyncIteration);
          else
          #endif
          PyErr_SetNone(PyExc_StopIteration);
      }
  }
  static
  __Pyx_PySendResult __Pyx_Coroutine_SendEx(__pyx_CoroutineObject *self, PyObject *value, PyObject **result, int closing) {
      __Pyx_PyThreadState_declare
      PyThreadState *tstate;
      __Pyx_ExcInfoStruct *exc_state;
      PyObject *retval;
      assert(__Pyx_Coroutine_get_is_running(self));  // Callers should ensure is_running
      if (unlikely(self->resume_label == -1)) {
          __Pyx_Coroutine_AlreadyTerminatedError((PyObject*)self, value, closing);
          return PYGEN_ERROR;
      }
  #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_LIMITED_API || 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
      retval = self->body(self, tstate, value);
  #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
      *result = retval;
      if (self->resume_label == -1) {
          return likely(retval) ? PYGEN_RETURN : PYGEN_ERROR;
      }
      return PYGEN_NEXT;
  }
  static CYTHON_INLINE void __Pyx_Coroutine_ResetFrameBackpointer(__Pyx_ExcInfoStruct *exc_state) {
  #if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API
      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
  }
  #define __Pyx_Coroutine_MethodReturnFromResult(gen, result, retval, iternext)\
      ((result) == PYGEN_NEXT ? (retval) : __Pyx__Coroutine_MethodReturnFromResult(gen, result, retval, iternext))
  static PyObject *
  __Pyx__Coroutine_MethodReturnFromResult(PyObject* gen, __Pyx_PySendResult result, PyObject *retval, int iternext) {
      CYTHON_MAYBE_UNUSED_VAR(gen);
      if (likely(result == PYGEN_RETURN)) {
          int is_async = 0;
          #ifdef __Pyx_AsyncGen_USED
          is_async = __Pyx_AsyncGen_CheckExact(gen);
          #endif
          __Pyx_ReturnWithStopIteration(retval, is_async, iternext);
          Py_XDECREF(retval);
      }
      return NULL;
  }
  #if CYTHON_COMPILING_IN_CPYTHON
  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 __Pyx_PySendResult
  __Pyx_Coroutine_FinishDelegation(__pyx_CoroutineObject *gen, PyObject** retval) {
      __Pyx_PySendResult result;
      PyObject *val = NULL;
      assert(__Pyx_Coroutine_get_is_running(gen));
      __Pyx_Coroutine_Undelegate(gen);
      __Pyx_PyGen__FetchStopIterationValue(__Pyx_PyThreadState_Current, &val);
      result = __Pyx_Coroutine_SendEx(gen, val, retval, 0);
      Py_XDECREF(val);
      return result;
  }
  #if CYTHON_USE_AM_SEND
  static __Pyx_PySendResult
  __Pyx_Coroutine_SendToDelegate(__pyx_CoroutineObject *gen, __Pyx_pyiter_sendfunc gen_am_send, PyObject *value, PyObject **retval) {
      PyObject *ret = NULL;
      __Pyx_PySendResult delegate_result, result;
      assert(__Pyx_Coroutine_get_is_running(gen));
      delegate_result = gen_am_send(gen->yieldfrom, value, &ret);
      if (delegate_result == PYGEN_NEXT) {
          assert (ret != NULL);
          *retval = ret;
          return PYGEN_NEXT;
      }
      assert (delegate_result != PYGEN_ERROR || ret == NULL);
      __Pyx_Coroutine_Undelegate(gen);
      result = __Pyx_Coroutine_SendEx(gen, ret, retval, 0);
      Py_XDECREF(ret);
      return result;
  }
  #endif
  static PyObject *__Pyx_Coroutine_Send(PyObject *self, PyObject *value) {
      PyObject *retval = NULL;
      __Pyx_PySendResult result = __Pyx_Coroutine_AmSend(self, value, &retval);
      return __Pyx_Coroutine_MethodReturnFromResult(self, result, retval, 0);
  }
  static __Pyx_PySendResult
  __Pyx_Coroutine_AmSend(PyObject *self, PyObject *value, PyObject **retval) {
      __Pyx_PySendResult result;
      __pyx_CoroutineObject *gen = (__pyx_CoroutineObject*) self;
      if (unlikely(__Pyx_Coroutine_test_and_set_is_running(gen))) {
          *retval = __Pyx_Coroutine_AlreadyRunningError(gen);
          return PYGEN_ERROR;
      }
      #if CYTHON_USE_AM_SEND
      if (gen->yieldfrom_am_send) {
          result = __Pyx_Coroutine_SendToDelegate(gen, gen->yieldfrom_am_send, value, retval);
      } else
      #endif
      if (gen->yieldfrom) {
          PyObject *yf = gen->yieldfrom;
          PyObject *ret;
        #if !CYTHON_USE_AM_SEND
          #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
          if (PyGen_CheckExact(yf)) {
              ret = __Pyx_PyGen_Send((PyGenObject*)yf, value == Py_None ? NULL : value);
          } else
          if (PyCoro_CheckExact(yf)) {
              ret = __Pyx_PyGen_Send((PyGenObject*)yf, value == Py_None ? NULL : value);
          } else
          #endif
        #endif
          {
              #if !CYTHON_COMPILING_IN_LIMITED_API || __PYX_LIMITED_VERSION_HEX >= 0x03080000
              if (value == Py_None && PyIter_Check(yf))
                  ret = __Pyx_PyIter_Next_Plain(yf);
              else
              #endif
                  ret = __Pyx_PyObject_CallMethod1(yf, __pyx_mstate_global->__pyx_n_u_send, value);
          }
          if (likely(ret)) {
              __Pyx_Coroutine_unset_is_running(gen);
              *retval = ret;
              return PYGEN_NEXT;
          }
          result = __Pyx_Coroutine_FinishDelegation(gen, retval);
      } else {
          result = __Pyx_Coroutine_SendEx(gen, value, retval, 0);
      }
      __Pyx_Coroutine_unset_is_running(gen);
      return result;
  }
  static int __Pyx_Coroutine_CloseIter(__pyx_CoroutineObject *gen, PyObject *yf) {
      __Pyx_PySendResult result;
      PyObject *retval = NULL;
      CYTHON_UNUSED_VAR(gen);
      assert(__Pyx_Coroutine_get_is_running(gen));
      #ifdef __Pyx_Generator_USED
      if (__Pyx_Generator_CheckExact(yf)) {
          result = __Pyx_Coroutine_Close(yf, &retval);
      } else
      #endif
      #ifdef __Pyx_Coroutine_USED
      if (__Pyx_Coroutine_Check(yf)) {
          result = __Pyx_Coroutine_Close(yf, &retval);
      } else
      if (__Pyx_CoroutineAwait_CheckExact(yf)) {
          result = __Pyx_CoroutineAwait_Close((__pyx_CoroutineAwaitObject*)yf);
      } else
      #endif
      #ifdef __Pyx_AsyncGen_USED
      if (__pyx_PyAsyncGenASend_CheckExact(yf)) {
          retval = __Pyx_async_gen_asend_close(yf, NULL);
          result = PYGEN_RETURN;
      } else
      if (__pyx_PyAsyncGenAThrow_CheckExact(yf)) {
          retval = __Pyx_async_gen_athrow_close(yf, NULL);
          result = PYGEN_RETURN;
      } else
      #endif
      {
          PyObject *meth;
          result = PYGEN_RETURN;
          meth = __Pyx_PyObject_GetAttrStrNoError(yf, __pyx_mstate_global->__pyx_n_u_close);
          if (unlikely(!meth)) {
              if (unlikely(PyErr_Occurred())) {
                  PyErr_WriteUnraisable(yf);
              }
          } else {
              retval = __Pyx_PyObject_CallNoArg(meth);
              Py_DECREF(meth);
              if (unlikely(!retval)) {
                  result = PYGEN_ERROR;
              }
          }
      }
      Py_XDECREF(retval);
      return result == PYGEN_ERROR ? -1 : 0;
  }
  static PyObject *__Pyx_Generator_Next(PyObject *self) {
      __Pyx_PySendResult result;
      PyObject *retval = NULL;
      __pyx_CoroutineObject *gen = (__pyx_CoroutineObject*) self;
      if (unlikely(__Pyx_Coroutine_test_and_set_is_running(gen))) {
          return __Pyx_Coroutine_AlreadyRunningError(gen);
      }
      #if CYTHON_USE_AM_SEND
      if (gen->yieldfrom_am_send) {
          result = __Pyx_Coroutine_SendToDelegate(gen, gen->yieldfrom_am_send, Py_None, &retval);
      } else
      #endif
      if (gen->yieldfrom) {
          PyObject *yf = gen->yieldfrom;
          PyObject *ret;
          #ifdef __Pyx_Generator_USED
          if (__Pyx_Generator_CheckExact(yf)) {
              ret = __Pyx_Generator_Next(yf);
          } else
          #endif
          #ifdef __Pyx_Coroutine_USED
          if (__Pyx_Coroutine_CheckExact(yf)) {
              ret = __Pyx_Coroutine_Send(yf, Py_None);
          } else
          #endif
          #if CYTHON_COMPILING_IN_CPYTHON && (PY_VERSION_HEX < 0x030A00A3 || !CYTHON_USE_AM_SEND)
          if (PyGen_CheckExact(yf)) {
              ret = __Pyx_PyGen_Send((PyGenObject*)yf, NULL);
          } else
          #endif
              ret = __Pyx_PyIter_Next_Plain(yf);
          if (likely(ret)) {
              __Pyx_Coroutine_unset_is_running(gen);
              return ret;
          }
          result = __Pyx_Coroutine_FinishDelegation(gen, &retval);
      } else {
          result = __Pyx_Coroutine_SendEx(gen, Py_None, &retval, 0);
      }
      __Pyx_Coroutine_unset_is_running(gen);
      return __Pyx_Coroutine_MethodReturnFromResult(self, result, retval, 1);
  }
  static PyObject *__Pyx_Coroutine_Close_Method(PyObject *self, PyObject *arg) {
      PyObject *retval = NULL;
      __Pyx_PySendResult result;
      CYTHON_UNUSED_VAR(arg);
      result = __Pyx_Coroutine_Close(self, &retval);
      if (unlikely(result == PYGEN_ERROR))
          return NULL;
      Py_XDECREF(retval);
      Py_RETURN_NONE;
  }
  static __Pyx_PySendResult
  __Pyx_Coroutine_Close(PyObject *self, PyObject **retval) {
      __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
      __Pyx_PySendResult result;
      PyObject *yf;
      int err = 0;
      if (unlikely(__Pyx_Coroutine_test_and_set_is_running(gen))) {
          *retval = __Pyx_Coroutine_AlreadyRunningError(gen);
          return PYGEN_ERROR;
      }
      yf = gen->yieldfrom;
      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);
      result = __Pyx_Coroutine_SendEx(gen, NULL, retval, 1);
      if (result == PYGEN_ERROR) {
          __Pyx_PyThreadState_declare
          __Pyx_PyThreadState_assign
          __Pyx_Coroutine_unset_is_running(gen);
          if (!__Pyx_PyErr_Occurred()) {
              return PYGEN_RETURN;
          } else if (likely(__Pyx_PyErr_ExceptionMatches2(PyExc_GeneratorExit, PyExc_StopIteration))) {
              __Pyx_PyErr_Clear();
              return PYGEN_RETURN;
          }
          return PYGEN_ERROR;
      } else if (likely(result == PYGEN_RETURN && *retval == Py_None)) {
          __Pyx_Coroutine_unset_is_running(gen);
          return PYGEN_RETURN;
      } else {
          const char *msg;
          Py_DECREF(*retval);
          *retval = NULL;
          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)) {
              msg = "async generator ignored GeneratorExit";
          #endif
          } else {
              msg = "generator ignored GeneratorExit";
          }
          PyErr_SetString(PyExc_RuntimeError, msg);
          __Pyx_Coroutine_unset_is_running(gen);
          return PYGEN_ERROR;
      }
  }
  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;
      if (unlikely(__Pyx_Coroutine_test_and_set_is_running(gen)))
          return __Pyx_Coroutine_AlreadyRunningError(gen);
      yf = gen->yieldfrom;
      if (yf) {
          __Pyx_PySendResult result;
          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)
                  goto propagate_exception;
              goto throw_here;
          }
          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_mstate_global->__pyx_n_u_throw);
              if (unlikely(!meth)) {
                  Py_DECREF(yf);
                  if (unlikely(PyErr_Occurred())) {
                      __Pyx_Coroutine_unset_is_running(gen);
                      return NULL;
                  }
                  __Pyx_Coroutine_Undelegate(gen);
                  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);
          }
          Py_DECREF(yf);
          if (ret) {
              __Pyx_Coroutine_unset_is_running(gen);
              return ret;
          }
          result = __Pyx_Coroutine_FinishDelegation(gen, &ret);
          __Pyx_Coroutine_unset_is_running(gen);
          return __Pyx_Coroutine_MethodReturnFromResult(self, result, ret, 0);
      }
  throw_here:
      __Pyx_Raise(typ, val, tb, NULL);
  propagate_exception:
      {
          PyObject *retval = NULL;
          __Pyx_PySendResult result = __Pyx_Coroutine_SendEx(gen, NULL, &retval, 0);
          __Pyx_Coroutine_unset_is_running(gen);
          return __Pyx_Coroutine_MethodReturnFromResult(self, result, retval, 0);
      }
  }
  static PyObject *__Pyx_Coroutine_Throw(PyObject *self, PyObject *args) {
      PyObject *typ;
      PyObject *val = NULL;
      PyObject *tb = NULL;
      if (unlikely(!PyArg_UnpackTuple(args, "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) {
      {
          int e = __Pyx_call_type_traverse((PyObject*)gen, 1, visit, arg);
          if (e) return e;
      }
      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);
      __Pyx_Coroutine_Undelegate(gen);
      __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 PY_VERSION_HEX < 0x030C0000 || CYTHON_COMPILING_IN_LIMITED_API
      if (gen->gi_weakreflist != NULL)
      #endif
          PyObject_ClearWeakRefs(self);
      if (gen->resume_label >= 0) {
          PyObject_GC_Track(self);
  #if CYTHON_USE_TP_FINALIZE
          if (unlikely(PyObject_CallFinalizerFromDealloc(self)))
  #else
          {
              destructor del = __Pyx_PyObject_GetSlot(gen, tp_del, destructor);
              if (del) 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);
  }
  #if CYTHON_USE_TP_FINALIZE
  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;
      }
      __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 (unlikely(PyErr_WarnFormat(PyExc_RuntimeWarning, 1, "coroutine '%.50S' was never awaited", gen->gi_qualname) < 0))
              PyErr_WriteUnraisable(self);
          PyObject_GC_Track(self);
          }
  #endif
      } else {
          PyObject *retval = NULL;
          __Pyx_PySendResult result = __Pyx_Coroutine_Close(self, &retval);
          if (result == PYGEN_ERROR) {
              PyErr_WriteUnraisable(self);
          } else {
              Py_XDECREF(retval);
          }
      }
      __Pyx_ErrRestore(error_type, error_value, error_traceback);
  }
  #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 (unlikely(value == NULL || !PyUnicode_Check(value))) {
          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 (unlikely(value == NULL || !PyUnicode_Check(value))) {
          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)
  {
  #if !CYTHON_COMPILING_IN_LIMITED_API
      PyObject *frame;
      #if PY_VERSION_HEX >= 0x030d0000
      Py_BEGIN_CRITICAL_SECTION(self);
      #endif
      frame = self->gi_frame;
      if (!frame) {
          if (unlikely(!self->gi_code)) {
              Py_RETURN_NONE;
          }
          PyObject *globals = PyDict_New();
          if (unlikely(!globals)) return NULL;
          frame = (PyObject *) PyFrame_New(
              PyThreadState_Get(),            /*PyThreadState *tstate,*/
              (PyCodeObject*) self->gi_code,  /*PyCodeObject *code,*/
              globals,                        /*PyObject *globals,*/
              0                               /*PyObject *locals*/
          );
          Py_DECREF(globals);
          if (unlikely(!frame))
              return NULL;
          if (unlikely(self->gi_frame)) {
              Py_DECREF(frame);
              frame = self->gi_frame;
          } else {
              self->gi_frame = frame;
          }
      }
      Py_INCREF(frame);
      #if PY_VERSION_HEX >= 0x030d0000
      Py_END_CRITICAL_SECTION();
      #endif
      return frame;
  #else
      CYTHON_UNUSED_VAR(self);
      Py_RETURN_NONE;
  #endif
  }
  static PyObject *
  __Pyx_Coroutine_get_frame(__pyx_CoroutineObject *self, void *context) {
      CYTHON_UNUSED_VAR(context);
      PyObject *frame = self->gi_frame;
      if (frame)
          return __Pyx_NewRef(frame);
      return __Pyx__Coroutine_get_frame(self);
  }
  static __pyx_CoroutineObject *__Pyx__Coroutine_New(
              PyTypeObject* type, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
              PyObject *name, PyObject *qualname, PyObject *module_name) {
      __pyx_CoroutineObject *gen = PyObject_GC_New(__pyx_CoroutineObject, type);
      if (unlikely(!gen))
          return NULL;
      return __Pyx__Coroutine_NewInit(gen, body, code, closure, name, qualname, module_name);
  }
  static __pyx_CoroutineObject *__Pyx__Coroutine_NewInit(
              __pyx_CoroutineObject *gen, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
              PyObject *name, PyObject *qualname, PyObject *module_name) {
      gen->body = body;
      gen->closure = closure;
      Py_XINCREF(closure);
      gen->is_running = 0;
      gen->resume_label = 0;
      gen->classobj = NULL;
      gen->yieldfrom = NULL;
      gen->yieldfrom_am_send = NULL;
      #if PY_VERSION_HEX >= 0x030B00a4 && !CYTHON_COMPILING_IN_LIMITED_API
      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
  #if PY_VERSION_HEX < 0x030C0000 || CYTHON_COMPILING_IN_LIMITED_API
      gen->gi_weakreflist = NULL;
  #endif
      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;
  }
  static char __Pyx_Coroutine_test_and_set_is_running(__pyx_CoroutineObject *gen) {
      char result;
      #if PY_VERSION_HEX >= 0x030d0000 && !CYTHON_COMPILING_IN_LIMITED_API
      Py_BEGIN_CRITICAL_SECTION(gen);
      #endif
      result = gen->is_running;
      gen->is_running = 1;
      #if PY_VERSION_HEX >= 0x030d0000 && !CYTHON_COMPILING_IN_LIMITED_API
      Py_END_CRITICAL_SECTION();
      #endif
      return result;
  }
  static void __Pyx_Coroutine_unset_is_running(__pyx_CoroutineObject *gen) {
      #if PY_VERSION_HEX >= 0x030d0000 && !CYTHON_COMPILING_IN_LIMITED_API
      Py_BEGIN_CRITICAL_SECTION(gen);
      #endif
      assert(gen->is_running);
      gen->is_running = 0;
      #if PY_VERSION_HEX >= 0x030d0000 && !CYTHON_COMPILING_IN_LIMITED_API
      Py_END_CRITICAL_SECTION();
      #endif
  }
  static char __Pyx_Coroutine_get_is_running(__pyx_CoroutineObject *gen) {
      char result;
      #if PY_VERSION_HEX >= 0x030d0000 && !CYTHON_COMPILING_IN_LIMITED_API
      Py_BEGIN_CRITICAL_SECTION(gen);
      #endif
      result = gen->is_running;
      #if PY_VERSION_HEX >= 0x030d0000 && !CYTHON_COMPILING_IN_LIMITED_API
      Py_END_CRITICAL_SECTION();
      #endif
      return result;
  }
  static PyObject *__Pyx_Coroutine_get_is_running_getter(PyObject *gen, void *closure) {
      CYTHON_UNUSED_VAR(closure);
      char result = __Pyx_Coroutine_get_is_running((__pyx_CoroutineObject*)gen);
      if (result) Py_RETURN_TRUE;
      else Py_RETURN_FALSE;
  }
  #if __PYX_HAS_PY_AM_SEND == 2
  static void __Pyx_SetBackportTypeAmSend(PyTypeObject *type, __Pyx_PyAsyncMethodsStruct *static_amsend_methods, __Pyx_pyiter_sendfunc am_send) {
      Py_ssize_t ptr_offset = (char*)(type->tp_as_async) - (char*)type;
      if (ptr_offset < 0 || ptr_offset > type->tp_basicsize) {
          return;
      }
      memcpy((void*)static_amsend_methods, (void*)(type->tp_as_async), sizeof(*type->tp_as_async));
      static_amsend_methods->am_send = am_send;
      type->tp_as_async = __Pyx_SlotTpAsAsync(static_amsend_methods);
  }
  #endif
  static PyObject *__Pyx_Coroutine_fail_reduce_ex(PyObject *self, PyObject *arg) {
      CYTHON_UNUSED_VAR(arg);
      __Pyx_TypeName self_type_name = __Pyx_PyType_GetFullyQualifiedName(Py_TYPE((PyObject*)self));
      PyErr_Format(PyExc_TypeError, "cannot pickle '" __Pyx_FMT_TYPENAME "' object",
                           self_type_name);
      __Pyx_DECREF_TypeName(self_type_name);
      return NULL;
  }
  
/* Generator */
  static PyMethodDef __pyx_Generator_methods[] = {
      {"send", (PyCFunction) __Pyx_Coroutine_Send, METH_O,
       PyDoc_STR("send(arg) -> send 'arg' into generator,\nreturn next yielded value or raise StopIteration.")},
      {"throw", (PyCFunction) __Pyx_Coroutine_Throw, METH_VARARGS,
       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,
       PyDoc_STR("close() -> raise GeneratorExit inside generator.")},
      {"__reduce_ex__", (PyCFunction) __Pyx_Coroutine_fail_reduce_ex, METH_O, 0},
      {"__reduce__", (PyCFunction) __Pyx_Coroutine_fail_reduce_ex, METH_NOARGS, 0},
      {0, 0, 0, 0}
  };
  static PyMemberDef __pyx_Generator_memberlist[] = {
      {"gi_yieldfrom", T_OBJECT, offsetof(__pyx_CoroutineObject, yieldfrom), READONLY,
       PyDoc_STR("object being iterated by 'yield from', or None")},
      {"gi_code", T_OBJECT, offsetof(__pyx_CoroutineObject, gi_code), READONLY, NULL},
      {"__module__", T_OBJECT, offsetof(__pyx_CoroutineObject, gi_modulename), 0, 0},
  #if PY_VERSION_HEX < 0x030C0000 || CYTHON_COMPILING_IN_LIMITED_API
      {"__weaklistoffset__", T_PYSSIZET, offsetof(__pyx_CoroutineObject, gi_weakreflist), READONLY, 0},
  #endif
      {0, 0, 0, 0, 0}
  };
  static PyGetSetDef __pyx_Generator_getsets[] = {
      {"__name__", (getter)__Pyx_Coroutine_get_name, (setter)__Pyx_Coroutine_set_name,
       PyDoc_STR("name of the generator"), 0},
      {"__qualname__", (getter)__Pyx_Coroutine_get_qualname, (setter)__Pyx_Coroutine_set_qualname,
       PyDoc_STR("qualified name of the generator"), 0},
      {"gi_frame", (getter)__Pyx_Coroutine_get_frame, NULL,
       PyDoc_STR("Frame of the generator"), 0},
      {"gi_running", __Pyx_Coroutine_get_is_running_getter, NULL, NULL, NULL},
      {0, 0, 0, 0, 0}
  };
  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 *) PyObject_GenericGetAttr},
  #if CYTHON_USE_TP_FINALIZE
      {Py_tp_finalize, (void *)__Pyx_Coroutine_del},
  #endif
  #if __PYX_HAS_PY_AM_SEND == 1
      {Py_am_send, (void *)__Pyx_Coroutine_AmSend},
  #endif
      {0, 0},
  };
  static PyType_Spec __pyx_GeneratorType_spec = {
      __PYX_TYPE_MODULE_PREFIX "generator",
      sizeof(__pyx_CoroutineObject),
      0,
  #if PY_VERSION_HEX >= 0x030C0000 && !CYTHON_COMPILING_IN_LIMITED_API
      Py_TPFLAGS_MANAGED_WEAKREF |
  #endif
      Py_TPFLAGS_IMMUTABLETYPE | Py_TPFLAGS_DISALLOW_INSTANTIATION |
      Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | __Pyx_TPFLAGS_HAVE_AM_SEND,
      __pyx_GeneratorType_slots
  };
  #if __PYX_HAS_PY_AM_SEND == 2
  static __Pyx_PyAsyncMethodsStruct __pyx_Generator_as_async;
  #endif
  static int __pyx_Generator_init(PyObject *module) {
      __pyx_mstatetype *mstate = __Pyx_PyModule_GetState(module);
      mstate->__pyx_GeneratorType = __Pyx_FetchCommonTypeFromSpec(
          mstate->__pyx_CommonTypesMetaclassType, module, &__pyx_GeneratorType_spec, NULL);
      if (unlikely(!mstate->__pyx_GeneratorType)) {
          return -1;
      }
  #if __PYX_HAS_PY_AM_SEND == 2
      __Pyx_SetBackportTypeAmSend(mstate->__pyx_GeneratorType, &__pyx_Generator_as_async, &__Pyx_Coroutine_AmSend);
  #endif
      return 0;
  }
  static PyObject *__Pyx_Generator_GetInlinedResult(PyObject *self) {
      __pyx_CoroutineObject *gen = (__pyx_CoroutineObject*) self;
      PyObject *retval = NULL;
      if (unlikely(__Pyx_Coroutine_test_and_set_is_running(gen))) {
          return __Pyx_Coroutine_AlreadyRunningError(gen);
      }
      __Pyx_PySendResult result = __Pyx_Coroutine_SendEx(gen, Py_None, &retval, 0);
      __Pyx_Coroutine_unset_is_running(gen);
      (void) result;
      assert (result == PYGEN_RETURN || result == PYGEN_ERROR);
      assert ((result == PYGEN_RETURN && retval != NULL) || (result == PYGEN_ERROR && retval == NULL));
      return retval;
  }
  
/* CheckBinaryVersion */
  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);
      }
  }
  
/* NewCodeObj */
  #if CYTHON_COMPILING_IN_LIMITED_API
      static 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, "iiiiiOOOOOOiOOO", 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, "iiiiiiOOOOOOiOOO", 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, "iiiiiiOOOOOOOiOOOO", 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;
      }
  #elif PY_VERSION_HEX >= 0x030B0000
    static 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;
      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, __pyx_mstate_global->__pyx_empty_bytes);
      #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030c00A1
      if (likely(result))
          result->_co_firsttraceable = 0;
      #endif
      return result;
    }
  #elif !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
  static PyObject* __Pyx_PyCode_New(
          const __Pyx_PyCode_New_function_description descr,
          PyObject * const *varnames,
          PyObject *filename,
          PyObject *funcname,
          PyObject *line_table,
          PyObject *tuple_dedup_map
  ) {
      PyObject *code_obj = NULL, *varnames_tuple_dedup = NULL, *code_bytes = NULL;
      Py_ssize_t var_count = (Py_ssize_t) descr.nlocals;
      PyObject *varnames_tuple = PyTuple_New(var_count);
      if (unlikely(!varnames_tuple)) return NULL;
      for (Py_ssize_t i=0; i < var_count; i++) {
          Py_INCREF(varnames[i]);
          if (__Pyx_PyTuple_SET_ITEM(varnames_tuple, i, varnames[i]) != (0)) goto done;
      }
      #if CYTHON_COMPILING_IN_LIMITED_API
      varnames_tuple_dedup = PyDict_GetItem(tuple_dedup_map, varnames_tuple);
      if (!varnames_tuple_dedup) {
          if (unlikely(PyDict_SetItem(tuple_dedup_map, varnames_tuple, varnames_tuple) < 0)) goto done;
          varnames_tuple_dedup = varnames_tuple;
      }
      #else
      varnames_tuple_dedup = PyDict_SetDefault(tuple_dedup_map, varnames_tuple, varnames_tuple);
      if (unlikely(!varnames_tuple_dedup)) goto done;
      #endif
      #if CYTHON_AVOID_BORROWED_REFS
      Py_INCREF(varnames_tuple_dedup);
      #endif
      if (__PYX_LIMITED_VERSION_HEX >= (0x030b0000) && line_table != NULL && !CYTHON_COMPILING_IN_GRAAL) {
          Py_ssize_t line_table_length = __Pyx_PyBytes_GET_SIZE(line_table);
          #if !CYTHON_ASSUME_SAFE_SIZE
          if (unlikely(line_table_length == -1)) goto done;
          #endif
          Py_ssize_t code_len = (line_table_length * 2 + 4) & ~3LL;
          code_bytes = PyBytes_FromStringAndSize(NULL, code_len);
          if (unlikely(!code_bytes)) goto done;
          char* c_code_bytes = PyBytes_AsString(code_bytes);
          if (unlikely(!c_code_bytes)) goto done;
          memset(c_code_bytes, 0, (size_t) code_len);
      }
      code_obj = (PyObject*) __Pyx__PyCode_New(
          (int) descr.argcount,
          (int) descr.num_posonly_args,
          (int) descr.num_kwonly_args,
          (int) descr.nlocals,
          0,
          (int) descr.flags,
          code_bytes ? code_bytes : __pyx_mstate_global->__pyx_empty_bytes,
          __pyx_mstate_global->__pyx_empty_tuple,
          __pyx_mstate_global->__pyx_empty_tuple,
          varnames_tuple_dedup,
          __pyx_mstate_global->__pyx_empty_tuple,
          __pyx_mstate_global->__pyx_empty_tuple,
          filename,
          funcname,
          (int) descr.first_line,
          (__PYX_LIMITED_VERSION_HEX >= (0x030b0000) && line_table) ? line_table : __pyx_mstate_global->__pyx_empty_bytes
      );
  done:
      Py_XDECREF(code_bytes);
      #if CYTHON_AVOID_BORROWED_REFS
      Py_XDECREF(varnames_tuple_dedup);
      #endif
      Py_DECREF(varnames_tuple);
      return code_obj;
  }
  
/* DecompressString */
  static PyObject *__Pyx_DecompressString(const char *s, Py_ssize_t length, int algo) {
      PyObject *module = NULL, *decompress, *compressed_bytes, *decompressed;
      const char* module_name = algo == 3 ? "compression.zstd" : algo == 2 ? "bz2" : "zlib";
      PyObject *methodname = PyUnicode_FromString("decompress");
      if (unlikely(!methodname)) return NULL;
      #if __PYX_LIMITED_VERSION_HEX >= 0x030e0000
      if (algo == 3) {
          PyObject *fromlist = Py_BuildValue("[O]", methodname);
          if (unlikely(!fromlist)) goto bad;
          module = PyImport_ImportModuleLevel("compression.zstd", NULL, NULL, fromlist, 0);
          Py_DECREF(fromlist);
      } else
      #endif
          module = PyImport_ImportModule(module_name);
      if (unlikely(!module)) goto import_failed;
      decompress = PyObject_GetAttr(module, methodname);
      if (unlikely(!decompress)) goto import_failed;
      {
          #ifdef __cplusplus
              char *memview_bytes = const_cast<char*>(s);
          #else
              #if defined(__clang__)
                #pragma clang diagnostic push
                #pragma clang diagnostic ignored "-Wcast-qual"
              #elif !defined(__INTEL_COMPILER) && defined(__GNUC__)
                #pragma GCC diagnostic push
                #pragma GCC diagnostic ignored "-Wcast-qual"
              #endif
              char *memview_bytes = (char*) s;
              #if defined(__clang__)
                #pragma clang diagnostic pop
              #elif !defined(__INTEL_COMPILER) && defined(__GNUC__)
                #pragma GCC diagnostic pop
              #endif
          #endif
          #if CYTHON_COMPILING_IN_LIMITED_API && !defined(PyBUF_READ)
          int memview_flags = 0x100;
          #else
          int memview_flags = PyBUF_READ;
          #endif
          compressed_bytes = PyMemoryView_FromMemory(memview_bytes, length, memview_flags);
      }
      if (unlikely(!compressed_bytes)) {
          Py_DECREF(decompress);
          goto bad;
      }
      decompressed = PyObject_CallFunctionObjArgs(decompress, compressed_bytes, NULL);
      Py_DECREF(compressed_bytes);
      Py_DECREF(decompress);
      Py_DECREF(module);
      Py_DECREF(methodname);
      return decompressed;
  import_failed:
      PyErr_Format(PyExc_ImportError,
          "Failed to import '%.20s.decompress' - cannot initialise module strings. "
          "String compression was configured with the C macro 'CYTHON_COMPRESS_STRINGS=%d'.",
          module_name, algo);
  bad:
      Py_XDECREF(module);
      Py_DECREF(methodname);
      return NULL;
  }
  
#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_UTF8
static CYTHON_INLINE const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
    if (unlikely(__Pyx_PyUnicode_READY(o) == -1)) return NULL;
#if CYTHON_COMPILING_IN_LIMITED_API
    {
        const char* result;
        Py_ssize_t unicode_length;
        CYTHON_MAYBE_UNUSED_VAR(unicode_length); // only for __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
        #if __PYX_LIMITED_VERSION_HEX < 0x030A0000
        if (unlikely(PyArg_Parse(o, "s#", &result, length) < 0)) return NULL;
        #else
        result = PyUnicode_AsUTF8AndSize(o, length);
        #endif
        #if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
        unicode_length = PyUnicode_GetLength(o);
        if (unlikely(unicode_length < 0)) return NULL;
        if (unlikely(unicode_length != *length)) {
            PyUnicode_AsASCIIString(o);
            return NULL;
        }
        #endif
        return result;
    }
#else
#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_UTF8
    if (PyUnicode_Check(o)) {
        return __Pyx_PyUnicode_AsStringAndSize(o, length);
    } else
#endif
    if (PyByteArray_Check(o)) {
#if (CYTHON_ASSUME_SAFE_SIZE && CYTHON_ASSUME_SAFE_MACROS) || (CYTHON_COMPILING_IN_PYPY && (defined(PyByteArray_AS_STRING) && defined(PyByteArray_GET_SIZE)))
        *length = PyByteArray_GET_SIZE(o);
        return PyByteArray_AS_STRING(o);
#else
        *length = PyByteArray_Size(o);
        if (*length == -1) return NULL;
        return PyByteArray_AsString(o);
#endif
    } else
    {
        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_LongWrongResultType(PyObject* result) {
    __Pyx_TypeName result_type_name = __Pyx_PyType_GetFullyQualifiedName(Py_TYPE(result));
    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;
    }
    PyErr_Format(PyExc_TypeError,
                 "__int__ returned non-int (type " __Pyx_FMT_TYPENAME ")",
                 result_type_name);
    __Pyx_DECREF_TypeName(result_type_name);
    Py_DECREF(result);
    return NULL;
}
static CYTHON_INLINE PyObject* __Pyx_PyNumber_Long(PyObject* x) {
#if CYTHON_USE_TYPE_SLOTS
  PyNumberMethods *m;
#endif
  PyObject *res = NULL;
  if (likely(PyLong_Check(x)))
      return __Pyx_NewRef(x);
#if CYTHON_USE_TYPE_SLOTS
  m = Py_TYPE(x)->tp_as_number;
  if (likely(m && m->nb_int)) {
      res = m->nb_int(x);
  }
#else
  if (!PyBytes_CheckExact(x) && !PyUnicode_CheckExact(x)) {
      res = PyNumber_Long(x);
  }
#endif
  if (likely(res)) {
      if (unlikely(!PyLong_CheckExact(res))) {
          return __Pyx_PyNumber_LongWrongResultType(res);
      }
  }
  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 (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 = PyLong_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);
  } else {
    Py_ssize_t ival;
    PyObject *x;
    x = PyNumber_Index(o);
    if (!x) return -1;
    ival = PyLong_AsLong(x);
    Py_DECREF(x);
    return ival;
  }
}
static CYTHON_INLINE PyObject *__Pyx_Owned_Py_None(int b) {
    CYTHON_UNUSED_VAR(b);
    return __Pyx_NewRef(Py_None);
}
static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b) {
  return __Pyx_NewRef(b ? Py_True: Py_False);
}
static CYTHON_INLINE PyObject * __Pyx_PyLong_FromSize_t(size_t ival) {
    return PyLong_FromSize_t(ival);
}


  /* MultiPhaseInitModuleState */
  #if CYTHON_PEP489_MULTI_PHASE_INIT && CYTHON_USE_MODULE_STATE
  #ifndef CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
  #if (CYTHON_COMPILING_IN_LIMITED_API || PY_VERSION_HEX >= 0x030C0000)
    #define CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE 1
  #else
    #define CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE 0
  #endif
  #endif
  #if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE && !CYTHON_ATOMICS
  #error "Module state with PEP489 requires atomics. Currently that's one of\
   C11, C++11, gcc atomic intrinsics or MSVC atomic intrinsics"
  #endif
  #if !CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
  #define __Pyx_ModuleStateLookup_Lock()
  #define __Pyx_ModuleStateLookup_Unlock()
  #elif !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x030d0000
  static PyMutex __Pyx_ModuleStateLookup_mutex = {0};
  #define __Pyx_ModuleStateLookup_Lock() PyMutex_Lock(&__Pyx_ModuleStateLookup_mutex)
  #define __Pyx_ModuleStateLookup_Unlock() PyMutex_Unlock(&__Pyx_ModuleStateLookup_mutex)
  #elif defined(__cplusplus) && __cplusplus >= 201103L
  #include <mutex>
  static std::mutex __Pyx_ModuleStateLookup_mutex;
  #define __Pyx_ModuleStateLookup_Lock() __Pyx_ModuleStateLookup_mutex.lock()
  #define __Pyx_ModuleStateLookup_Unlock() __Pyx_ModuleStateLookup_mutex.unlock()
  #elif defined(__STDC_VERSION__) && (__STDC_VERSION__ > 201112L) && !defined(__STDC_NO_THREADS__)
  #include <threads.h>
  static mtx_t __Pyx_ModuleStateLookup_mutex;
  static once_flag __Pyx_ModuleStateLookup_mutex_once_flag = ONCE_FLAG_INIT;
  static void __Pyx_ModuleStateLookup_initialize_mutex(void) {
      mtx_init(&__Pyx_ModuleStateLookup_mutex, mtx_plain);
  }
  #define __Pyx_ModuleStateLookup_Lock()\
    call_once(&__Pyx_ModuleStateLookup_mutex_once_flag, __Pyx_ModuleStateLookup_initialize_mutex);\
    mtx_lock(&__Pyx_ModuleStateLookup_mutex)
  #define __Pyx_ModuleStateLookup_Unlock() mtx_unlock(&__Pyx_ModuleStateLookup_mutex)
  #elif defined(HAVE_PTHREAD_H)
  #include <pthread.h>
  static pthread_mutex_t __Pyx_ModuleStateLookup_mutex = PTHREAD_MUTEX_INITIALIZER;
  #define __Pyx_ModuleStateLookup_Lock() pthread_mutex_lock(&__Pyx_ModuleStateLookup_mutex)
  #define __Pyx_ModuleStateLookup_Unlock() pthread_mutex_unlock(&__Pyx_ModuleStateLookup_mutex)
  #elif defined(_WIN32)
  #include <Windows.h>  // synchapi.h on its own doesn't work
  static SRWLOCK __Pyx_ModuleStateLookup_mutex = SRWLOCK_INIT;
  #define __Pyx_ModuleStateLookup_Lock() AcquireSRWLockExclusive(&__Pyx_ModuleStateLookup_mutex)
  #define __Pyx_ModuleStateLookup_Unlock() ReleaseSRWLockExclusive(&__Pyx_ModuleStateLookup_mutex)
  #else
  #error "No suitable lock available for CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE.\
   Requires C standard >= C11, or C++ standard >= C++11,\
   or pthreads, or the Windows 32 API, or Python >= 3.13."
  #endif
  typedef struct {
      int64_t id;
      PyObject *module;
  } __Pyx_InterpreterIdAndModule;
  typedef struct {
      char interpreter_id_as_index;
      Py_ssize_t count;
      Py_ssize_t allocated;
      __Pyx_InterpreterIdAndModule table[1];
  } __Pyx_ModuleStateLookupData;
  #define __PYX_MODULE_STATE_LOOKUP_SMALL_SIZE 32
  #if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
  static __pyx_atomic_int_type __Pyx_ModuleStateLookup_read_counter = 0;
  #endif
  #if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
  static __pyx_atomic_ptr_type __Pyx_ModuleStateLookup_data = 0;
  #else
  static __Pyx_ModuleStateLookupData* __Pyx_ModuleStateLookup_data = NULL;
  #endif
  static __Pyx_InterpreterIdAndModule* __Pyx_State_FindModuleStateLookupTableLowerBound(
          __Pyx_InterpreterIdAndModule* table,
          Py_ssize_t count,
          int64_t interpreterId) {
      __Pyx_InterpreterIdAndModule* begin = table;
      __Pyx_InterpreterIdAndModule* end = begin + count;
      if (begin->id == interpreterId) {
          return begin;
      }
      while ((end - begin) > __PYX_MODULE_STATE_LOOKUP_SMALL_SIZE) {
          __Pyx_InterpreterIdAndModule* halfway = begin + (end - begin)/2;
          if (halfway->id == interpreterId) {
              return halfway;
          }
          if (halfway->id < interpreterId) {
              begin = halfway;
          } else {
              end = halfway;
          }
      }
      for (; begin < end; ++begin) {
          if (begin->id >= interpreterId) return begin;
      }
      return begin;
  }
  static PyObject *__Pyx_State_FindModule(CYTHON_UNUSED void* dummy) {
      int64_t interpreter_id = PyInterpreterState_GetID(__Pyx_PyInterpreterState_Get());
      if (interpreter_id == -1) return NULL;
  #if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
      __Pyx_ModuleStateLookupData* data = (__Pyx_ModuleStateLookupData*)__pyx_atomic_pointer_load_relaxed(&__Pyx_ModuleStateLookup_data);
      {
          __pyx_atomic_incr_acq_rel(&__Pyx_ModuleStateLookup_read_counter);
          if (likely(data)) {
              __Pyx_ModuleStateLookupData* new_data = (__Pyx_ModuleStateLookupData*)__pyx_atomic_pointer_load_acquire(&__Pyx_ModuleStateLookup_data);
              if (likely(data == new_data)) {
                  goto read_finished;
              }
          }
          __pyx_atomic_decr_acq_rel(&__Pyx_ModuleStateLookup_read_counter);
          __Pyx_ModuleStateLookup_Lock();
          __pyx_atomic_incr_relaxed(&__Pyx_ModuleStateLookup_read_counter);
          data = (__Pyx_ModuleStateLookupData*)__pyx_atomic_pointer_load_relaxed(&__Pyx_ModuleStateLookup_data);
          __Pyx_ModuleStateLookup_Unlock();
      }
    read_finished:;
  #else
      __Pyx_ModuleStateLookupData* data = __Pyx_ModuleStateLookup_data;
  #endif
      __Pyx_InterpreterIdAndModule* found = NULL;
      if (unlikely(!data)) goto end;
      if (data->interpreter_id_as_index) {
          if (interpreter_id < data->count) {
              found = data->table+interpreter_id;
          }
      } else {
          found = __Pyx_State_FindModuleStateLookupTableLowerBound(
              data->table, data->count, interpreter_id);
      }
    end:
      {
          PyObject *result=NULL;
          if (found && found->id == interpreter_id) {
              result = found->module;
          }
  #if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
          __pyx_atomic_decr_acq_rel(&__Pyx_ModuleStateLookup_read_counter);
  #endif
          return result;
      }
  }
  #if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
  static void __Pyx_ModuleStateLookup_wait_until_no_readers(void) {
      while (__pyx_atomic_load(&__Pyx_ModuleStateLookup_read_counter) != 0);
  }
  #else
  #define __Pyx_ModuleStateLookup_wait_until_no_readers()
  #endif
  static int __Pyx_State_AddModuleInterpIdAsIndex(__Pyx_ModuleStateLookupData **old_data, PyObject* module, int64_t interpreter_id) {
      Py_ssize_t to_allocate = (*old_data)->allocated;
      while (to_allocate <= interpreter_id) {
          if (to_allocate == 0) to_allocate = 1;
          else to_allocate *= 2;
      }
      __Pyx_ModuleStateLookupData *new_data = *old_data;
      if (to_allocate != (*old_data)->allocated) {
           new_data = (__Pyx_ModuleStateLookupData *)realloc(
              *old_data,
              sizeof(__Pyx_ModuleStateLookupData)+(to_allocate-1)*sizeof(__Pyx_InterpreterIdAndModule));
          if (!new_data) {
              PyErr_NoMemory();
              return -1;
          }
          for (Py_ssize_t i = new_data->allocated; i < to_allocate; ++i) {
              new_data->table[i].id = i;
              new_data->table[i].module = NULL;
          }
          new_data->allocated = to_allocate;
      }
      new_data->table[interpreter_id].module = module;
      if (new_data->count < interpreter_id+1) {
          new_data->count = interpreter_id+1;
      }
      *old_data = new_data;
      return 0;
  }
  static void __Pyx_State_ConvertFromInterpIdAsIndex(__Pyx_ModuleStateLookupData *data) {
      __Pyx_InterpreterIdAndModule *read = data->table;
      __Pyx_InterpreterIdAndModule *write = data->table;
      __Pyx_InterpreterIdAndModule *end = read + data->count;
      for (; read<end; ++read) {
          if (read->module) {
              write->id = read->id;
              write->module = read->module;
              ++write;
          }
      }
      data->count = write - data->table;
      for (; write<end; ++write) {
          write->id = 0;
          write->module = NULL;
      }
      data->interpreter_id_as_index = 0;
  }
  static int __Pyx_State_AddModule(PyObject* module, CYTHON_UNUSED void* dummy) {
      int64_t interpreter_id = PyInterpreterState_GetID(__Pyx_PyInterpreterState_Get());
      if (interpreter_id == -1) return -1;
      int result = 0;
      __Pyx_ModuleStateLookup_Lock();
  #if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
      __Pyx_ModuleStateLookupData *old_data = (__Pyx_ModuleStateLookupData *)
              __pyx_atomic_pointer_exchange(&__Pyx_ModuleStateLookup_data, 0);
  #else
      __Pyx_ModuleStateLookupData *old_data = __Pyx_ModuleStateLookup_data;
  #endif
      __Pyx_ModuleStateLookupData *new_data = old_data;
      if (!new_data) {
          new_data = (__Pyx_ModuleStateLookupData *)calloc(1, sizeof(__Pyx_ModuleStateLookupData));
          if (!new_data) {
              result = -1;
              PyErr_NoMemory();
              goto end;
          }
          new_data->allocated = 1;
          new_data->interpreter_id_as_index = 1;
      }
      __Pyx_ModuleStateLookup_wait_until_no_readers();
      if (new_data->interpreter_id_as_index) {
          if (interpreter_id < __PYX_MODULE_STATE_LOOKUP_SMALL_SIZE) {
              result = __Pyx_State_AddModuleInterpIdAsIndex(&new_data, module, interpreter_id);
              goto end;
          }
          __Pyx_State_ConvertFromInterpIdAsIndex(new_data);
      }
      {
          Py_ssize_t insert_at = 0;
          {
              __Pyx_InterpreterIdAndModule* lower_bound = __Pyx_State_FindModuleStateLookupTableLowerBound(
                  new_data->table, new_data->count, interpreter_id);
              assert(lower_bound);
              insert_at = lower_bound - new_data->table;
              if (unlikely(insert_at < new_data->count && lower_bound->id == interpreter_id)) {
                  lower_bound->module = module;
                  goto end;  // already in table, nothing more to do
              }
          }
          if (new_data->count+1 >= new_data->allocated) {
              Py_ssize_t to_allocate = (new_data->count+1)*2;
              new_data =
                  (__Pyx_ModuleStateLookupData*)realloc(
                      new_data,
                      sizeof(__Pyx_ModuleStateLookupData) +
                      (to_allocate-1)*sizeof(__Pyx_InterpreterIdAndModule));
              if (!new_data) {
                  result = -1;
                  new_data = old_data;
                  PyErr_NoMemory();
                  goto end;
              }
              new_data->allocated = to_allocate;
          }
          ++new_data->count;
          int64_t last_id = interpreter_id;
          PyObject *last_module = module;
          for (Py_ssize_t i=insert_at; i<new_data->count; ++i) {
              int64_t current_id = new_data->table[i].id;
              new_data->table[i].id = last_id;
              last_id = current_id;
              PyObject *current_module = new_data->table[i].module;
              new_data->table[i].module = last_module;
              last_module = current_module;
          }
      }
    end:
  #if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
      __pyx_atomic_pointer_exchange(&__Pyx_ModuleStateLookup_data, new_data);
  #else
      __Pyx_ModuleStateLookup_data = new_data;
  #endif
      __Pyx_ModuleStateLookup_Unlock();
      return result;
  }
  static int __Pyx_State_RemoveModule(CYTHON_UNUSED void* dummy) {
      int64_t interpreter_id = PyInterpreterState_GetID(__Pyx_PyInterpreterState_Get());
      if (interpreter_id == -1) return -1;
      __Pyx_ModuleStateLookup_Lock();
  #if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
      __Pyx_ModuleStateLookupData *data = (__Pyx_ModuleStateLookupData *)
              __pyx_atomic_pointer_exchange(&__Pyx_ModuleStateLookup_data, 0);
  #else
      __Pyx_ModuleStateLookupData *data = __Pyx_ModuleStateLookup_data;
  #endif
      if (data->interpreter_id_as_index) {
          if (interpreter_id < data->count) {
              data->table[interpreter_id].module = NULL;
          }
          goto done;
      }
      {
          __Pyx_ModuleStateLookup_wait_until_no_readers();
          __Pyx_InterpreterIdAndModule* lower_bound = __Pyx_State_FindModuleStateLookupTableLowerBound(
              data->table, data->count, interpreter_id);
          if (!lower_bound) goto done;
          if (lower_bound->id != interpreter_id) goto done;
          __Pyx_InterpreterIdAndModule *end = data->table+data->count;
          for (;lower_bound<end-1; ++lower_bound) {
              lower_bound->id = (lower_bound+1)->id;
              lower_bound->module = (lower_bound+1)->module;
          }
      }
      --data->count;
      if (data->count == 0) {
          free(data);
          data = NULL;
      }
    done:
  #if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
      __pyx_atomic_pointer_exchange(&__Pyx_ModuleStateLookup_data, data);
  #else
      __Pyx_ModuleStateLookup_data = data;
  #endif
      __Pyx_ModuleStateLookup_Unlock();
      return 0;
  }
  #endif
  
/* #### Code section: utility_code_pragmas_end ### */
#ifdef _MSC_VER
#pragma warning( pop )
#endif



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