/* Generated by Cython 3.2.4 */

/* BEGIN: Cython Metadata
{
    "distutils": {
        "depends": [
            "cuda/core/_include/layout.hpp"
        ],
        "include_dirs": [
            "./cuda/core",
            "cuda/core",
            "cuda/core/_include",
            "cuda/core/_cpp",
            "/opt/cuda/include"
        ],
        "language": "c++",
        "name": "cuda.core._layout",
        "sources": [
            "cuda/core/_layout.pyx"
        ]
    },
    "module_name": "cuda.core._layout"
}
END: Cython Metadata */

#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+.
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#define __PYX_ABI_VERSION "3_2_4"
#define CYTHON_HEX_VERSION 0x030204F0
#define CYTHON_FUTURE_DIVISION 1
/* CModulePreamble */
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#if !defined(_WIN32) && !defined(WIN32) && !defined(MS_WINDOWS)
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#ifndef DL_IMPORT
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#ifndef DL_EXPORT
  #define DL_EXPORT(t) t
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#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
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  #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
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  #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
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  #define CYTHON_USE_SYS_MONITORING 0
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  #define CYTHON_USE_AM_SEND 0
  #undef CYTHON_USE_DICT_VERSIONS
  #define CYTHON_USE_DICT_VERSIONS 0
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  #define CYTHON_USE_EXC_INFO_STACK 1
  #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC
    #define CYTHON_UPDATE_DESCRIPTOR_DOC 0
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  #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
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  #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
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  #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
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  #define CYTHON_USE_FREELISTS 0
  #undef CYTHON_IMMORTAL_CONSTANTS
  #define CYTHON_IMMORTAL_CONSTANTS 0
#elif defined(CYTHON_LIMITED_API)
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    #undef __PYX_LIMITED_VERSION_HEX
    #define __PYX_LIMITED_VERSION_HEX Py_LIMITED_API
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  #define CYTHON_ASSUME_SAFE_MACROS 0
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  #undef CYTHON_UNPACK_METHODS
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  #ifndef CYTHON_USE_AM_SEND
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  #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
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    #undef CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS
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    #define CYTHON_ASSUME_SAFE_MACROS 1
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    #define CYTHON_UNPACK_METHODS 1
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    #define CYTHON_FAST_THREAD_STATE 1
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    #undef CYTHON_FAST_GIL
    #define CYTHON_FAST_GIL 0
  #elif !defined(CYTHON_FAST_GIL)
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  #endif
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    #define CYTHON_METH_FASTCALL 1
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    #define CYTHON_PEP487_INIT_SUBCLASS 1
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    #define CYTHON_USE_DICT_VERSIONS 0
  #elif !defined(CYTHON_USE_DICT_VERSIONS)
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    #define CYTHON_USE_EXC_INFO_STACK 1
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  #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC
    #define CYTHON_UPDATE_DESCRIPTOR_DOC 1
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  #ifndef CYTHON_USE_FREELISTS
    #define CYTHON_USE_FREELISTS (!CYTHON_COMPILING_IN_CPYTHON_FREETHREADING)
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  #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)
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#ifndef CYTHON_COMPRESS_STRINGS
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#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
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  #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]]
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#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
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#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))

/* CppInitCode */
#ifndef __cplusplus
  #error "Cython files generated with the C++ option must be compiled with a C++ compiler."
#endif
#ifndef CYTHON_INLINE
  #if defined(__clang__)
    #define CYTHON_INLINE __inline__ __attribute__ ((__unused__))
  #else
    #define CYTHON_INLINE inline
  #endif
#endif
template<typename T>
void __Pyx_call_destructor(T& x) {
    x.~T();
}
template<typename T>
class __Pyx_FakeReference {
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/* 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
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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_IsNone(ob) __Pyx_Py_Is((ob), Py_None)
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  #define __Pyx_Py_IsTrue(ob) __Pyx_Py_Is((ob), Py_True)
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#define __Pyx_NoneAsNull(obj)  (__Pyx_Py_IsNone(obj) ? NULL : (obj))
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#ifndef Py_TPFLAGS_CHECKTYPES
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#ifndef Py_TPFLAGS_HAVE_INDEX
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#ifndef Py_TPFLAGS_HAVE_NEWBUFFER
  #define Py_TPFLAGS_HAVE_NEWBUFFER 0
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#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
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#ifndef Py_TPFLAGS_IMMUTABLETYPE
  #define Py_TPFLAGS_IMMUTABLETYPE (1UL << 8)
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#ifndef Py_TPFLAGS_DISALLOW_INSTANTIATION
  #define Py_TPFLAGS_DISALLOW_INSTANTIATION (1UL << 7)
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#ifndef METH_FASTCALL
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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
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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
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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))
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  #define __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET  0
  #define __Pyx_PyVectorcall_NARGS(n)  ((Py_ssize_t)(n))
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#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)
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#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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}
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static CYTHON_INLINE int __Pyx__IsSameCFunction(PyObject *func, void (*cfunc)(void)) {
#if CYTHON_COMPILING_IN_LIMITED_API
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#else
    return PyCFunction_Check(func) && PyCFunction_GET_FUNCTION(func) == (PyCFunction) cfunc;
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#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 *);
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  #define __Pyx_PyType_FromModuleAndSpec(m, s, b)  PyType_FromModuleAndSpec(m, s, b)
  #define __Pyx_PyCMethod  PyCMethod
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#ifndef METH_METHOD
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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)
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#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))
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  #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno)  (frame)->f_lineno = (lineno)
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#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");
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}
#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))
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  #define __Pyx_PySequence_ListKeepNew(obj)  PySequence_List(obj)
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#ifndef PySet_CheckExact
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#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)
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  #define __Pyx_SET_REFCNT(obj, refcnt) Py_REFCNT(obj) = (refcnt)
  #define __Pyx_SET_SIZE(obj, size) Py_SIZE(obj) = (size)
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enum __Pyx_ReferenceSharing {
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  __Pyx_ReferenceSharing_OwnStrongReference,
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};
#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)
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#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;
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    return -1;
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  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;
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  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)
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  #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)
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  #define __Pyx_PyTuple_GET_SIZE(o) PyTuple_GET_SIZE(o)
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  #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)
  #define __Pyx_PyList_GET_SIZE(o) PyList_Size(o)
  #define __Pyx_PySet_GET_SIZE(o) PySet_Size(o)
  #define __Pyx_PyBytes_GET_SIZE(o) PyBytes_Size(o)
  #define __Pyx_PyByteArray_GET_SIZE(o) PyByteArray_Size(o)
  #define __Pyx_PyUnicode_GET_LENGTH(o) PyUnicode_GetLength(o)
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#if CYTHON_COMPILING_IN_PYPY && !defined(PyUnicode_InternFromString)
  #define PyUnicode_InternFromString(s) PyUnicode_FromString(s)
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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
    #define __Pyx_PySendResult PySendResult
#else
    typedef enum {
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        PYGEN_ERROR = -1,
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#if CYTHON_COMPILING_IN_LIMITED_API || PY_VERSION_HEX < 0x030A00A3
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  #define __Pyx_pyiter_sendfunc sendfunc
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#if !CYTHON_USE_AM_SEND
#define __PYX_HAS_PY_AM_SEND 0
#elif __PYX_LIMITED_VERSION_HEX >= 0x030A0000
#define __PYX_HAS_PY_AM_SEND 1
#else
#define __PYX_HAS_PY_AM_SEND 2  // our own backported implementation
#endif
#if __PYX_HAS_PY_AM_SEND < 2
    #define __Pyx_PyAsyncMethodsStruct PyAsyncMethods
#else
    typedef struct {
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        unaryfunc am_aiter;
        unaryfunc am_anext;
        __Pyx_pyiter_sendfunc am_send;
    } __Pyx_PyAsyncMethodsStruct;
    #define __Pyx_SlotTpAsAsync(s) ((PyAsyncMethods*)(s))
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#if CYTHON_USE_AM_SEND && PY_VERSION_HEX < 0x030A00F0
    #define __Pyx_TPFLAGS_HAVE_AM_SEND (1UL << 21)
#else
    #define __Pyx_TPFLAGS_HAVE_AM_SEND (0)
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#if PY_VERSION_HEX >= 0x03090000
#define __Pyx_PyInterpreterState_Get() PyInterpreterState_Get()
#else
#define __Pyx_PyInterpreterState_Get() PyThreadState_Get()->interp
#endif
#if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030A0000
#ifdef __cplusplus
extern "C"
#endif
PyAPI_FUNC(void *) PyMem_Calloc(size_t nelem, size_t elsize);
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
static int __Pyx_init_co_variable(PyObject *inspect, const char* name, int *write_to) {
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    PyObject *py_value = PyObject_GetAttrString(inspect, name);
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}
static int __Pyx_init_co_variables(void) {
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#if !defined(CO_OPTIMIZED)
        __Pyx_init_co_variable(inspect, "CO_OPTIMIZED", &CO_OPTIMIZED) &&
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#if !defined(CO_NEWLOCALS)
        __Pyx_init_co_variable(inspect, "CO_NEWLOCALS", &CO_NEWLOCALS) &&
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#if !defined(CO_VARARGS)
        __Pyx_init_co_variable(inspect, "CO_VARARGS", &CO_VARARGS) &&
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#if !defined(CO_VARKEYWORDS)
        __Pyx_init_co_variable(inspect, "CO_VARKEYWORDS", &CO_VARKEYWORDS) &&
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#if !defined(CO_ASYNC_GENERATOR)
        __Pyx_init_co_variable(inspect, "CO_ASYNC_GENERATOR", &CO_ASYNC_GENERATOR) &&
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#if !defined(CO_GENERATOR)
        __Pyx_init_co_variable(inspect, "CO_GENERATOR", &CO_GENERATOR) &&
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#if !defined(CO_COROUTINE)
        __Pyx_init_co_variable(inspect, "CO_COROUTINE", &CO_COROUTINE) &&
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        1;
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}
#else
static int __Pyx_init_co_variables(void) {
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}
#endif

/* MathInitCode */
#if defined(_WIN32) || defined(WIN32) || defined(MS_WINDOWS)
  #ifndef _USE_MATH_DEFINES
    #define _USE_MATH_DEFINES
  #endif
#endif
#include <math.h>
#if defined(__CYGWIN__) && defined(_LDBL_EQ_DBL)
#define __Pyx_truncl trunc
#else
#define __Pyx_truncl truncl
#endif

#ifndef CYTHON_CLINE_IN_TRACEBACK_RUNTIME
#define CYTHON_CLINE_IN_TRACEBACK_RUNTIME 0
#endif
#ifndef CYTHON_CLINE_IN_TRACEBACK
#define CYTHON_CLINE_IN_TRACEBACK CYTHON_CLINE_IN_TRACEBACK_RUNTIME
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#if CYTHON_CLINE_IN_TRACEBACK
#define __PYX_MARK_ERR_POS(f_index, lineno)  { __pyx_filename = __pyx_f[f_index]; (void) __pyx_filename; __pyx_lineno = lineno; (void) __pyx_lineno; __pyx_clineno = __LINE__; (void) __pyx_clineno; }
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#define __PYX_MARK_ERR_POS(f_index, lineno)  { __pyx_filename = __pyx_f[f_index]; (void) __pyx_filename; __pyx_lineno = lineno; (void) __pyx_lineno; (void) __pyx_clineno; }
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#define __PYX_ERR(f_index, lineno, Ln_error) \
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#ifdef CYTHON_EXTERN_C
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    #define __PYX_EXTERN_C CYTHON_EXTERN_C
#elif defined(__PYX_EXTERN_C)
    #ifdef _MSC_VER
    #pragma message ("Please do not define the '__PYX_EXTERN_C' macro externally. Use 'CYTHON_EXTERN_C' instead.")
    #else
    #warning Please do not define the '__PYX_EXTERN_C' macro externally. Use 'CYTHON_EXTERN_C' instead.
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#else
    #define __PYX_EXTERN_C extern "C++"
#endif

#define __PYX_HAVE__cuda__core___layout
#define __PYX_HAVE_API__cuda__core___layout
/* Early includes */
#include <stdint.h>
#include "ios"
#include "new"
#include "stdexcept"
#include "typeinfo"
#include <vector>
#include <string.h>
#include <stdio.h>

    #if __PYX_LIMITED_VERSION_HEX < 0x030d0000
    static CYTHON_INLINE PyObject *
    __Pyx_CAPI_PyList_GetItemRef(PyObject *list, Py_ssize_t index)
    {
        PyObject *item = PyList_GetItem(list, index);
        Py_XINCREF(item);
        return item;
    }
    #else
    #define __Pyx_CAPI_PyList_GetItemRef PyList_GetItemRef
    #endif

    #if CYTHON_COMPILING_IN_LIMITED_API || PY_VERSION_HEX < 0x030d0000
    static CYTHON_INLINE int
    __Pyx_CAPI_PyList_Extend(PyObject *list, PyObject *iterable)
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        return PyList_SetSlice(list, PY_SSIZE_T_MAX, PY_SSIZE_T_MAX, iterable);
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    static CYTHON_INLINE int
    __Pyx_CAPI_PyList_Clear(PyObject *list)
    {
        return PyList_SetSlice(list, 0, PY_SSIZE_T_MAX, NULL);
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    #else
    #define __Pyx_CAPI_PyList_Extend PyList_Extend
    #define __Pyx_CAPI_PyList_Clear PyList_Clear
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    #if PY_MAJOR_VERSION >= 3
      #define __Pyx_PyFloat_FromString(obj)  PyFloat_FromString(obj)
    #else
      #define __Pyx_PyFloat_FromString(obj)  PyFloat_FromString(obj, NULL)
    #endif
    
#include <stddef.h>

    #if PY_MAJOR_VERSION <= 2
    #define PyDict_GetItemWithError _PyDict_GetItemWithError
    #endif

    #if __PYX_LIMITED_VERSION_HEX < 0x030d0000
    static CYTHON_INLINE int
    __Pyx_CAPI_PyDict_GetItemStringRef(PyObject *mp, const char *key, PyObject **result)
    {
        int res;
        PyObject *key_obj = PyUnicode_FromString(key);
        if (key_obj == NULL) {
            *result = NULL;
            return -1;
        }
        res = __Pyx_PyDict_GetItemRef(mp, key_obj, result);
        Py_DECREF(key_obj);
        return res;
    }
    #else
    #define __Pyx_CAPI_PyDict_GetItemStringRef PyDict_GetItemStringRef
    #endif
    #if PY_VERSION_HEX < 0x030d0000 || (CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030F0000)
    static CYTHON_INLINE int
    __Pyx_CAPI_PyDict_SetDefaultRef(PyObject *d, PyObject *key, PyObject *default_value,
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        PyObject *value;
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            if (result) {
                *result = NULL;
            }
            return -1;
        }
        if (value != NULL) {
            // present
            if (result) {
                *result = value;
            }
            else {
                Py_DECREF(value);
            }
            return 1;
        }

        // missing: set the item
        if (PyDict_SetItem(d, key, default_value) < 0) {
            // set error
            if (result) {
                *result = NULL;
            }
            return -1;
        }
        if (result) {
            Py_INCREF(default_value);
            *result = default_value;
        }
        return 0;
    }
    #else
    #define __Pyx_CAPI_PyDict_SetDefaultRef PyDict_SetDefaultRef
    #endif
    

    #if PY_VERSION_HEX < 0x030d0000
    static CYTHON_INLINE int __Pyx_PyWeakref_GetRef(PyObject *ref, PyObject **pobj)
    {
        PyObject *obj = PyWeakref_GetObject(ref);
        if (obj == NULL) {
            // SystemError if ref is NULL
            *pobj = NULL;
            return -1;
        }
        if (obj == Py_None) {
            *pobj = NULL;
            return 0;
        }
        Py_INCREF(obj);
        *pobj = obj;
        return 1;
    }
    #else
    #define __Pyx_PyWeakref_GetRef PyWeakref_GetRef
    #endif
    
#include "pythread.h"

    #if (CYTHON_COMPILING_IN_PYPY && PYPY_VERSION_NUM < 0x07030600) && !defined(PyContextVar_Get)
    #define PyContextVar_Get(var, d, v)         ((d) ?             ((void)(var), Py_INCREF(d), (v)[0] = (d), 0) :             ((v)[0] = NULL, 0)         )
    #endif
    
#include "cuda.h"
#include "cudaProfiler.h"
#include "nvrtc.h"
#include "_include/layout.hpp"
#ifdef _OPENMP
#include <omp.h>
#endif /* _OPENMP */

#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
#endif
#else
#define __Pyx_FREETHREADING_COMPATIBLE Py_MOD_GIL_NOT_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)  (\
    (sizeof(type) < sizeof(Py_ssize_t))  ||\
    (sizeof(type) > sizeof(Py_ssize_t) &&\
          likely(v < (type)PY_SSIZE_T_MAX ||\
                 v == (type)PY_SSIZE_T_MAX)  &&\
          (!is_signed || likely(v > (type)PY_SSIZE_T_MIN ||\
                                v == (type)PY_SSIZE_T_MIN)))  ||\
    (sizeof(type) == sizeof(Py_ssize_t) &&\
          (is_signed || likely(v < (type)PY_SSIZE_T_MAX ||\
                               v == (type)PY_SSIZE_T_MAX)))  )
static CYTHON_INLINE int __Pyx_is_valid_index(Py_ssize_t i, Py_ssize_t limit) {
    return (size_t) i < (size_t) limit;
}
#if defined (__cplusplus) && __cplusplus >= 201103L
    #include <cstdlib>
    #define __Pyx_sst_abs(value) std::abs(value)
#elif SIZEOF_INT >= SIZEOF_SIZE_T
    #define __Pyx_sst_abs(value) abs(value)
#elif SIZEOF_LONG >= SIZEOF_SIZE_T
    #define __Pyx_sst_abs(value) labs(value)
#elif defined (_MSC_VER)
    #define __Pyx_sst_abs(value) ((Py_ssize_t)_abs64(value))
#elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define __Pyx_sst_abs(value) llabs(value)
#elif defined (__GNUC__)
    #define __Pyx_sst_abs(value) __builtin_llabs(value)
#else
    #define __Pyx_sst_abs(value) ((value<0) ? -value : value)
#endif
static CYTHON_INLINE Py_ssize_t __Pyx_ssize_strlen(const char *s);
static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject*);
static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length);
static CYTHON_INLINE PyObject* __Pyx_PyByteArray_FromString(const char*);
#define __Pyx_PyByteArray_FromStringAndSize(s, l) PyByteArray_FromStringAndSize((const char*)s, l)
#define __Pyx_PyBytes_FromString        PyBytes_FromString
#define __Pyx_PyBytes_FromStringAndSize PyBytes_FromStringAndSize
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char*);
#if 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)
#else
    #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))
    #define __Pyx_PyByteArray_AsString(s) PyByteArray_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)
    return Py_NewRef(obj);
#else
    Py_INCREF(obj);
    return obj;
#endif
}
static CYTHON_INLINE PyObject *__Pyx_XNewRef(PyObject *obj) {
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030a0000 || defined(Py_XNewRef)
    return Py_XNewRef(obj);
#else
    Py_XINCREF(obj);
    return obj;
#endif
}
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
    #define _PyLong_NON_SIZE_BITS 3
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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])
  #define __Pyx_PyLong_DigitCount(x)  ((Py_ssize_t) (((PyLongObject*)x)->long_value.lv_tag >> _PyLong_NON_SIZE_BITS))
  #define __Pyx_PyLong_SignedDigitCount(x)\
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  #if defined(PyUnstable_Long_IsCompact) && defined(PyUnstable_Long_CompactValue)
    #define __Pyx_PyLong_IsCompact(x)     PyUnstable_Long_IsCompact((PyLongObject*) x)
    #define __Pyx_PyLong_CompactValue(x)  PyUnstable_Long_CompactValue((PyLongObject*) x)
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    #define __Pyx_PyLong_IsCompact(x)     (((PyLongObject*)x)->long_value.lv_tag < (2 << _PyLong_NON_SIZE_BITS))
    #define __Pyx_PyLong_CompactValue(x)  ((1 - (Py_ssize_t) __Pyx_PyLong_Sign(x)) * (Py_ssize_t) __Pyx_PyLong_Digits(x)[0])
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  #define __Pyx_PyLong_IsNeg(x)  (Py_SIZE(x) < 0)
  #define __Pyx_PyLong_IsNonNeg(x)  (Py_SIZE(x) >= 0)
  #define __Pyx_PyLong_IsZero(x)  (Py_SIZE(x) == 0)
  #define __Pyx_PyLong_IsPos(x)  (Py_SIZE(x) > 0)
  #define __Pyx_PyLong_CompactValueUnsigned(x)  ((Py_SIZE(x) == 0) ? 0 : __Pyx_PyLong_Digits(x)[0])
  #define __Pyx_PyLong_DigitCount(x)  __Pyx_sst_abs(Py_SIZE(x))
  #define __Pyx_PyLong_SignedDigitCount(x)  Py_SIZE(x)
  #define __Pyx_PyLong_IsCompact(x)  (Py_SIZE(x) == 0 || Py_SIZE(x) == 1 || Py_SIZE(x) == -1)
  #define __Pyx_PyLong_CompactValue(x)\
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  typedef sdigit  __Pyx_compact_pylong;
  typedef digit  __Pyx_compact_upylong;
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  #if PY_VERSION_HEX >= 0x030C00A5
  #define __Pyx_PyLong_Digits(x)  (((PyLongObject*)x)->long_value.ob_digit)
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  #define __Pyx_PyLong_Digits(x)  (((PyLongObject*)x)->ob_digit)
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#endif
#if __PYX_DEFAULT_STRING_ENCODING_IS_UTF8
  #define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeUTF8(c_str, size, NULL)
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  #define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeASCII(c_str, size, NULL)
#else
  #define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_Decode(c_str, size, __PYX_DEFAULT_STRING_ENCODING, NULL)
#endif


/* Test for GCC > 2.95 */
#if defined(__GNUC__)     && (__GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95)))
  #define likely(x)   __builtin_expect(!!(x), 1)
  #define unlikely(x) __builtin_expect(!!(x), 0)
#else /* !__GNUC__ or GCC < 2.95 */
  #define likely(x)   (x)
  #define unlikely(x) (x)
#endif /* __GNUC__ */
/* 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;

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

static const char* const __pyx_f[] = {
  "cuda/core/_layout.pyx",
  "cpython/contextvars.pxd",
  "cuda/core/_utils/cuda_utils.pxd",
  "cuda/core/_layout.pxd",
  "(tree fragment)",
  "cpython/type.pxd",
  "cpython/bool.pxd",
  "cpython/complex.pxd",
};
/* #### Code section: utility_code_proto_before_types ### */
/* ForceInitThreads.proto */
#ifndef __PYX_FORCE_INIT_THREADS
  #define __PYX_FORCE_INIT_THREADS 0
#endif

/* NoFastGil.proto */
#define __Pyx_PyGILState_Ensure PyGILState_Ensure
#define __Pyx_PyGILState_Release PyGILState_Release
#define __Pyx_FastGIL_Remember()
#define __Pyx_FastGIL_Forget()
#define __Pyx_FastGilFuncInit()

/* 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)
        #pragma message ("Using standard C atomics")
    #elif defined(__PYX_DEBUG_ATOMICS)
        #warning "Using standard C atomics"
    #endif
#elif CYTHON_ATOMICS && (defined(__cplusplus) && (\
                    (__cplusplus >= 201103L) ||\
\
                    (defined(_MSC_VER) && _MSC_VER >= 1700)) &&\
                    ATOMIC_INT_LOCK_FREE == 2)
    #undef __pyx_atomic_int_type
    #define __pyx_atomic_int_type std::atomic_int
    #define __pyx_atomic_ptr_type std::atomic_uintptr_t
    #define __pyx_nonatomic_ptr_type uintptr_t
    #define __pyx_atomic_incr_relaxed(value) std::atomic_fetch_add_explicit(value, 1, std::memory_order_relaxed)
    #define __pyx_atomic_incr_acq_rel(value) std::atomic_fetch_add_explicit(value, 1, std::memory_order_acq_rel)
    #define __pyx_atomic_decr_acq_rel(value) std::atomic_fetch_sub_explicit(value, 1, std::memory_order_acq_rel)
    #define __pyx_atomic_sub(value, arg) std::atomic_fetch_sub(value, arg)
    #define __pyx_atomic_int_cmp_exchange(value, expected, desired) std::atomic_compare_exchange_strong(value, expected, desired)
    #define __pyx_atomic_load(value) std::atomic_load(value)
    #define __pyx_atomic_store(value, new_value) std::atomic_store(value, new_value)
    #define __pyx_atomic_pointer_load_relaxed(value) std::atomic_load_explicit(value, std::memory_order_relaxed)
    #define __pyx_atomic_pointer_load_acquire(value) std::atomic_load_explicit(value, std::memory_order_acquire)
    #define __pyx_atomic_pointer_exchange(value, new_value) std::atomic_exchange(value, (__pyx_nonatomic_ptr_type)new_value)
    #define __pyx_atomic_pointer_cmp_exchange(value, expected, desired) std::atomic_compare_exchange_strong(value, expected, desired)
    #if defined(__PYX_DEBUG_ATOMICS) && defined(_MSC_VER)
        #pragma message ("Using standard C++ atomics")
    #elif defined(__PYX_DEBUG_ATOMICS)
        #warning "Using standard C++ atomics"
    #endif
#elif CYTHON_ATOMICS && (__GNUC__ >= 5 || (__GNUC__ == 4 &&\
                    (__GNUC_MINOR__ > 1 ||\
                    (__GNUC_MINOR__ == 1 && __GNUC_PATCHLEVEL__ >= 2))))
    #define __pyx_atomic_ptr_type void*
    #define __pyx_nonatomic_ptr_type void*
    #define __pyx_atomic_incr_relaxed(value) __sync_fetch_and_add(value, 1)
    #define __pyx_atomic_incr_acq_rel(value) __sync_fetch_and_add(value, 1)
    #define __pyx_atomic_decr_acq_rel(value) __sync_fetch_and_sub(value, 1)
    #define __pyx_atomic_sub(value, arg) __sync_fetch_and_sub(value, arg)
    static CYTHON_INLINE int __pyx_atomic_int_cmp_exchange(__pyx_atomic_int_type* value, __pyx_nonatomic_int_type* expected, __pyx_nonatomic_int_type desired) {
        __pyx_nonatomic_int_type old = __sync_val_compare_and_swap(value, *expected, desired);
        int result = old == *expected;
        *expected = old;
        return result;
    }
    #define __pyx_atomic_load(value) __sync_fetch_and_add(value, 0)
    #define __pyx_atomic_store(value, new_value) __sync_lock_test_and_set(value, new_value)
    #define __pyx_atomic_pointer_load_relaxed(value) __sync_fetch_and_add(value, 0)
    #define __pyx_atomic_pointer_load_acquire(value) __sync_fetch_and_add(value, 0)
    #define __pyx_atomic_pointer_exchange(value, new_value) __sync_lock_test_and_set(value, (__pyx_atomic_ptr_type)new_value)
    static CYTHON_INLINE int __pyx_atomic_pointer_cmp_exchange(__pyx_atomic_ptr_type* value, __pyx_nonatomic_ptr_type* expected, __pyx_nonatomic_ptr_type desired) {
        __pyx_nonatomic_ptr_type old = __sync_val_compare_and_swap(value, *expected, desired);
        int result = old == *expected;
        *expected = old;
        return result;
    }
    #ifdef __PYX_DEBUG_ATOMICS
        #warning "Using GNU atomics"
    #endif
#elif CYTHON_ATOMICS && defined(_MSC_VER)
    #include <intrin.h>
    #undef __pyx_atomic_int_type
    #define __pyx_atomic_int_type long
    #define __pyx_atomic_ptr_type void*
    #undef __pyx_nonatomic_int_type
    #define __pyx_nonatomic_int_type long
    #define __pyx_nonatomic_ptr_type void*
    #pragma intrinsic (_InterlockedExchangeAdd, _InterlockedExchange, _InterlockedCompareExchange, _InterlockedCompareExchangePointer, _InterlockedExchangePointer)
    #define __pyx_atomic_incr_relaxed(value) _InterlockedExchangeAdd(value, 1)
    #define __pyx_atomic_incr_acq_rel(value) _InterlockedExchangeAdd(value, 1)
    #define __pyx_atomic_decr_acq_rel(value) _InterlockedExchangeAdd(value, -1)
    #define __pyx_atomic_sub(value, arg) _InterlockedExchangeAdd(value, -arg)
    static CYTHON_INLINE int __pyx_atomic_int_cmp_exchange(__pyx_atomic_int_type* value, __pyx_nonatomic_int_type* expected, __pyx_nonatomic_int_type desired) {
        __pyx_nonatomic_int_type old = _InterlockedCompareExchange(value, desired, *expected);
        int result = old == *expected;
        *expected = old;
        return result;
    }
    #define __pyx_atomic_load(value) _InterlockedExchangeAdd(value, 0)
    #define __pyx_atomic_store(value, new_value) _InterlockedExchange(value, new_value)
    #define __pyx_atomic_pointer_load_relaxed(value) *(void * volatile *)value
    #define __pyx_atomic_pointer_load_acquire(value) _InterlockedCompareExchangePointer(value, 0, 0)
    #define __pyx_atomic_pointer_exchange(value, new_value) _InterlockedExchangePointer(value, (__pyx_atomic_ptr_type)new_value)
    static CYTHON_INLINE int __pyx_atomic_pointer_cmp_exchange(__pyx_atomic_ptr_type* value, __pyx_nonatomic_ptr_type* expected, __pyx_nonatomic_ptr_type desired) {
        __pyx_atomic_ptr_type old = _InterlockedCompareExchangePointer(value, desired, *expected);
        int result = old == *expected;
        *expected = old;
        return result;
    }
    #ifdef __PYX_DEBUG_ATOMICS
        #pragma message ("Using MSVC atomics")
    #endif
#else
    #undef CYTHON_ATOMICS
    #define CYTHON_ATOMICS 0
    #ifdef __PYX_DEBUG_ATOMICS
        #warning "Not using atomics"
    #endif
#endif

/* CriticalSectionsDefinition.proto (used by CriticalSections) */
#if !CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
#define __Pyx_PyCriticalSection void*
#define __Pyx_PyCriticalSection2 void*
#define __Pyx_PyCriticalSection_End(cs)
#define __Pyx_PyCriticalSection2_End(cs)
#else
#define __Pyx_PyCriticalSection PyCriticalSection
#define __Pyx_PyCriticalSection2 PyCriticalSection2
#define __Pyx_PyCriticalSection_End PyCriticalSection_End
#define __Pyx_PyCriticalSection2_End PyCriticalSection2_End
#endif

/* CriticalSections.proto (used by ParseKeywordsImpl) */
#if !CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
#define __Pyx_PyCriticalSection_Begin(cs, arg) (void)(cs)
#define __Pyx_PyCriticalSection2_Begin(cs, arg1, arg2) (void)(cs)
#else
#define __Pyx_PyCriticalSection_Begin PyCriticalSection_Begin
#define __Pyx_PyCriticalSection2_Begin PyCriticalSection2_Begin
#endif
#if PY_VERSION_HEX < 0x030d0000 || CYTHON_COMPILING_IN_LIMITED_API
#define __Pyx_BEGIN_CRITICAL_SECTION(o) {
#define __Pyx_END_CRITICAL_SECTION() }
#else
#define __Pyx_BEGIN_CRITICAL_SECTION Py_BEGIN_CRITICAL_SECTION
#define __Pyx_END_CRITICAL_SECTION Py_END_CRITICAL_SECTION
#endif

/* IncludeStructmemberH.proto (used by FixUpExtensionType) */
#include <structmember.h>

/* #### Code section: numeric_typedefs ### */

/* "cydriver.pxd":2786
 * ctypedef CUGLmap_flags_enum CUGLmap_flags
 * 
 * ctypedef unsigned int GLenum             # <<<<<<<<<<<<<<
 * 
 * ctypedef unsigned int GLuint
*/
typedef unsigned int __pyx_t_4cuda_8bindings_8cydriver_GLenum;

/* "cydriver.pxd":2788
 * ctypedef unsigned int GLenum
 * 
 * ctypedef unsigned int GLuint             # <<<<<<<<<<<<<<
 * 
 * cdef extern from "":
*/
typedef unsigned int __pyx_t_4cuda_8bindings_8cydriver_GLuint;

/* "cydriver.pxd":2800
 * ctypedef void* EGLStreamKHR
 * 
 * ctypedef unsigned int EGLint             # <<<<<<<<<<<<<<
 * 
 * cdef extern from "":
*/
typedef unsigned int __pyx_t_4cuda_8bindings_8cydriver_EGLint;

/* "cydriver.pxd":2807
 * ctypedef void* EGLSyncKHR
 * 
 * ctypedef uint32_t VdpDevice             # <<<<<<<<<<<<<<
 * 
 * ctypedef unsigned long long VdpGetProcAddress
*/
typedef uint32_t __pyx_t_4cuda_8bindings_8cydriver_VdpDevice;

/* "cydriver.pxd":2809
 * ctypedef uint32_t VdpDevice
 * 
 * ctypedef unsigned long long VdpGetProcAddress             # <<<<<<<<<<<<<<
 * 
 * ctypedef uint32_t VdpVideoSurface
*/
typedef unsigned PY_LONG_LONG __pyx_t_4cuda_8bindings_8cydriver_VdpGetProcAddress;

/* "cydriver.pxd":2811
 * ctypedef unsigned long long VdpGetProcAddress
 * 
 * ctypedef uint32_t VdpVideoSurface             # <<<<<<<<<<<<<<
 * 
 * ctypedef uint32_t VdpOutputSurface
*/
typedef uint32_t __pyx_t_4cuda_8bindings_8cydriver_VdpVideoSurface;

/* "cydriver.pxd":2813
 * ctypedef uint32_t VdpVideoSurface
 * 
 * ctypedef uint32_t VdpOutputSurface             # <<<<<<<<<<<<<<
 * 
 * cdef CUresult cuGetErrorString(CUresult error, const char** pStr) except ?CUDA_ERROR_NOT_FOUND nogil
*/
typedef uint32_t __pyx_t_4cuda_8bindings_8cydriver_VdpOutputSurface;

/* "cuda/core/_layout.pxd":11
 * from libcpp cimport vector
 * 
 * ctypedef int64_t extent_t             # <<<<<<<<<<<<<<
 * ctypedef int64_t stride_t
 * ctypedef int32_t axis_t
*/
typedef int64_t __pyx_t_4cuda_4core_7_layout_extent_t;

/* "cuda/core/_layout.pxd":12
 * 
 * ctypedef int64_t extent_t
 * ctypedef int64_t stride_t             # <<<<<<<<<<<<<<
 * ctypedef int32_t axis_t
 * 
*/
typedef int64_t __pyx_t_4cuda_4core_7_layout_stride_t;

/* "cuda/core/_layout.pxd":13
 * ctypedef int64_t extent_t
 * ctypedef int64_t stride_t
 * ctypedef int32_t axis_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef uint64_t axes_mask_t  # MUST be exactly STRIDED_LAYOUT_MAX_NDIM bits wide
*/
typedef int32_t __pyx_t_4cuda_4core_7_layout_axis_t;

/* "cuda/core/_layout.pxd":15
 * ctypedef int32_t axis_t
 * 
 * ctypedef uint64_t axes_mask_t  # MUST be exactly STRIDED_LAYOUT_MAX_NDIM bits wide             # <<<<<<<<<<<<<<
 * ctypedef uint32_t property_mask_t
 * 
*/
typedef uint64_t __pyx_t_4cuda_4core_7_layout_axes_mask_t;

/* "cuda/core/_layout.pxd":16
 * 
 * ctypedef uint64_t axes_mask_t  # MUST be exactly STRIDED_LAYOUT_MAX_NDIM bits wide
 * ctypedef uint32_t property_mask_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef vector.vector[stride_t] extents_strides_t
*/
typedef uint32_t __pyx_t_4cuda_4core_7_layout_property_mask_t;
/* #### Code section: complex_type_declarations ### */
/* #### Code section: type_declarations ### */

/*--- Type declarations ---*/
struct __pyx_obj_4cuda_4core_7_layout__StridedLayout;
struct __pyx_opt_args_7cpython_11contextvars_get_value;
struct __pyx_opt_args_7cpython_11contextvars_get_value_no_default;

/* "cpython/contextvars.pxd":116
 * 
 * @_cython.c_compile_guard("!CYTHON_COMPILING_IN_LIMITED_API")
 * cdef inline object get_value(var, default_value=None):             # <<<<<<<<<<<<<<
 *     """Return a new reference to the value of the context variable,
 *     or the default value of the context variable,
*/
struct __pyx_opt_args_7cpython_11contextvars_get_value {
  int __pyx_n;
  PyObject *default_value;
};

/* "cpython/contextvars.pxd":134
 * 
 * @_cython.c_compile_guard("!CYTHON_COMPILING_IN_LIMITED_API")
 * cdef inline object get_value_no_default(var, default_value=None):             # <<<<<<<<<<<<<<
 *     """Return a new reference to the value of the context variable,
 *     or the provided default value if no such value was found.
*/
struct __pyx_opt_args_7cpython_11contextvars_get_value_no_default {
  int __pyx_n;
  PyObject *default_value;
};
union __pyx_t_4cuda_8bindings_8cydriver_anon_union16;
struct __pyx_t_4cuda_8bindings_8cydriver_CUeglFrame_st;

/* "cydriver.pxd":2613
 *     ctypedef CUoutput_mode_enum CUoutput_mode
 * 
 * cdef enum CUeglFrameType_enum:             # <<<<<<<<<<<<<<
 *     CU_EGL_FRAME_TYPE_ARRAY = 0
 *     CU_EGL_FRAME_TYPE_PITCH = 1
*/
enum __pyx_t_4cuda_8bindings_8cydriver_CUeglFrameType_enum {
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_FRAME_TYPE_ARRAY = 0,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_FRAME_TYPE_PITCH = 1
};

/* "cydriver.pxd":2619
 * ctypedef CUeglFrameType_enum CUeglFrameType
 * 
 * cdef enum CUeglResourceLocationFlags_enum:             # <<<<<<<<<<<<<<
 *     CU_EGL_RESOURCE_LOCATION_SYSMEM = 0
 *     CU_EGL_RESOURCE_LOCATION_VIDMEM = 1
*/
enum __pyx_t_4cuda_8bindings_8cydriver_CUeglResourceLocationFlags_enum {
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_RESOURCE_LOCATION_SYSMEM = 0,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_RESOURCE_LOCATION_VIDMEM = 1
};

/* "cydriver.pxd":2625
 * ctypedef CUeglResourceLocationFlags_enum CUeglResourceLocationFlags
 * 
 * cdef enum CUeglColorFormat_enum:             # <<<<<<<<<<<<<<
 *     CU_EGL_COLOR_FORMAT_YUV420_PLANAR = 0
 *     CU_EGL_COLOR_FORMAT_YUV420_SEMIPLANAR = 1
*/
enum __pyx_t_4cuda_8bindings_8cydriver_CUeglColorFormat_enum {
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_YUV420_PLANAR = 0,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_YUV420_SEMIPLANAR = 1,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_YUV422_PLANAR = 2,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_YUV422_SEMIPLANAR = 3,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_RGB = 4,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_BGR = 5,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_ARGB = 6,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_RGBA = 7,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_L = 8,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_R = 9,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_YUV444_PLANAR = 10,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_YUV444_SEMIPLANAR = 11,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_YUYV_422 = 12,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_UYVY_422 = 13,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_ABGR = 14,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_BGRA = 15,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_A = 16,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_RG = 17,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_AYUV = 18,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_YVU444_SEMIPLANAR = 19,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_YVU422_SEMIPLANAR = 20,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_YVU420_SEMIPLANAR = 21,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_Y10V10U10_444_SEMIPLANAR = 22,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_Y10V10U10_420_SEMIPLANAR = 23,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_Y12V12U12_444_SEMIPLANAR = 24,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_Y12V12U12_420_SEMIPLANAR = 25,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_VYUY_ER = 26,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_UYVY_ER = 27,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_YUYV_ER = 28,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_YVYU_ER = 29,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_YUV_ER = 30,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_YUVA_ER = 31,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_AYUV_ER = 32,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_YUV444_PLANAR_ER = 33,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_YUV422_PLANAR_ER = 34,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_YUV420_PLANAR_ER = 35,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_YUV444_SEMIPLANAR_ER = 36,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_YUV422_SEMIPLANAR_ER = 37,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_YUV420_SEMIPLANAR_ER = 38,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_YVU444_PLANAR_ER = 39,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_YVU422_PLANAR_ER = 40,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_YVU420_PLANAR_ER = 41,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_YVU444_SEMIPLANAR_ER = 42,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_YVU422_SEMIPLANAR_ER = 43,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_YVU420_SEMIPLANAR_ER = 44,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_BAYER_RGGB = 45,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_BAYER_BGGR = 46,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_BAYER_GRBG = 47,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_BAYER_GBRG = 48,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_BAYER10_RGGB = 49,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_BAYER10_BGGR = 50,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_BAYER10_GRBG = 51,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_BAYER10_GBRG = 52,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_BAYER12_RGGB = 53,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_BAYER12_BGGR = 54,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_BAYER12_GRBG = 55,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_BAYER12_GBRG = 56,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_BAYER14_RGGB = 57,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_BAYER14_BGGR = 58,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_BAYER14_GRBG = 59,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_BAYER14_GBRG = 60,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_BAYER20_RGGB = 61,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_BAYER20_BGGR = 62,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_BAYER20_GRBG = 63,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_BAYER20_GBRG = 64,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_YVU444_PLANAR = 65,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_YVU422_PLANAR = 66,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_YVU420_PLANAR = 67,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_BAYER_ISP_RGGB = 68,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_BAYER_ISP_BGGR = 69,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_BAYER_ISP_GRBG = 70,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_BAYER_ISP_GBRG = 71,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_BAYER_BCCR = 72,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_BAYER_RCCB = 73,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_BAYER_CRBC = 74,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_BAYER_CBRC = 75,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_BAYER10_CCCC = 76,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_BAYER12_BCCR = 77,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_BAYER12_RCCB = 78,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_BAYER12_CRBC = 79,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_BAYER12_CBRC = 80,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_BAYER12_CCCC = 81,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_Y = 82,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_YUV420_SEMIPLANAR_2020 = 83,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_YVU420_SEMIPLANAR_2020 = 84,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_YUV420_PLANAR_2020 = 85,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_YVU420_PLANAR_2020 = 86,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_YUV420_SEMIPLANAR_709 = 87,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_YVU420_SEMIPLANAR_709 = 88,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_YUV420_PLANAR_709 = 89,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_YVU420_PLANAR_709 = 90,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_Y10V10U10_420_SEMIPLANAR_709 = 91,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_Y10V10U10_420_SEMIPLANAR_2020 = 92,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_Y10V10U10_422_SEMIPLANAR_2020 = 93,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_Y10V10U10_422_SEMIPLANAR = 94,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_Y10V10U10_422_SEMIPLANAR_709 = 95,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_Y_ER = 96,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_Y_709_ER = 97,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_Y10_ER = 98,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_Y10_709_ER = 99,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_Y12_ER = 0x64,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_Y12_709_ER = 0x65,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_YUVA = 0x66,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_YUV = 0x67,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_YVYU = 0x68,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_VYUY = 0x69,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_Y10V10U10_420_SEMIPLANAR_ER = 0x6A,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_Y10V10U10_420_SEMIPLANAR_709_ER = 0x6B,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_Y10V10U10_444_SEMIPLANAR_ER = 0x6C,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_Y10V10U10_444_SEMIPLANAR_709_ER = 0x6D,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_Y12V12U12_420_SEMIPLANAR_ER = 0x6E,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_Y12V12U12_420_SEMIPLANAR_709_ER = 0x6F,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_Y12V12U12_444_SEMIPLANAR_ER = 0x70,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_Y12V12U12_444_SEMIPLANAR_709_ER = 0x71,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_UYVY_709 = 0x72,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_UYVY_709_ER = 0x73,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_UYVY_2020 = 0x74,
  __pyx_e_4cuda_8bindings_8cydriver_CU_EGL_COLOR_FORMAT_MAX = 0x75
};

/* "cydriver.pxd":2772
 * ctypedef CUeglStreamConnection_st* CUeglStreamConnection
 * 
 * cdef enum CUGLDeviceList_enum:             # <<<<<<<<<<<<<<
 *     CU_GL_DEVICE_LIST_ALL = 1
 *     CU_GL_DEVICE_LIST_CURRENT_FRAME = 2
*/
enum __pyx_t_4cuda_8bindings_8cydriver_CUGLDeviceList_enum {
  __pyx_e_4cuda_8bindings_8cydriver_CU_GL_DEVICE_LIST_ALL = 1,
  __pyx_e_4cuda_8bindings_8cydriver_CU_GL_DEVICE_LIST_CURRENT_FRAME = 2,
  __pyx_e_4cuda_8bindings_8cydriver_CU_GL_DEVICE_LIST_NEXT_FRAME = 3
};

/* "cydriver.pxd":2779
 * ctypedef CUGLDeviceList_enum CUGLDeviceList
 * 
 * cdef enum CUGLmap_flags_enum:             # <<<<<<<<<<<<<<
 *     CU_GL_MAP_RESOURCE_FLAGS_NONE = 0
 *     CU_GL_MAP_RESOURCE_FLAGS_READ_ONLY = 1
*/
enum __pyx_t_4cuda_8bindings_8cydriver_CUGLmap_flags_enum {
  __pyx_e_4cuda_8bindings_8cydriver_CU_GL_MAP_RESOURCE_FLAGS_NONE = 0,
  __pyx_e_4cuda_8bindings_8cydriver_CU_GL_MAP_RESOURCE_FLAGS_READ_ONLY = 1,
  __pyx_e_4cuda_8bindings_8cydriver_CU_GL_MAP_RESOURCE_FLAGS_WRITE_DISCARD = 2
};

/* "cydriver.pxd":3797
 * cdef CUresult cuGraphicsVDPAURegisterOutputSurface(CUgraphicsResource* pCudaResource, VdpOutputSurface vdpSurface, unsigned int flags) except ?CUDA_ERROR_NOT_FOUND nogil
 * 
 * cdef enum: CUDA_VERSION = 13020             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_IPC_HANDLE_SIZE = 64
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CUDA_VERSION = 0x32DC
};

/* "cydriver.pxd":3799
 * cdef enum: CUDA_VERSION = 13020
 * 
 * cdef enum: CU_IPC_HANDLE_SIZE = 64             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_STREAM_LEGACY = 1
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_IPC_HANDLE_SIZE = 64
};

/* "cydriver.pxd":3801
 * cdef enum: CU_IPC_HANDLE_SIZE = 64
 * 
 * cdef enum: CU_STREAM_LEGACY = 1             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_STREAM_PER_THREAD = 2
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_STREAM_LEGACY = 1
};

/* "cydriver.pxd":3803
 * cdef enum: CU_STREAM_LEGACY = 1
 * 
 * cdef enum: CU_STREAM_PER_THREAD = 2             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_COMPUTE_ACCELERATED_TARGET_BASE = 65536
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_STREAM_PER_THREAD = 2
};

/* "cydriver.pxd":3805
 * cdef enum: CU_STREAM_PER_THREAD = 2
 * 
 * cdef enum: CU_COMPUTE_ACCELERATED_TARGET_BASE = 65536             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_COMPUTE_FAMILY_TARGET_BASE = 131072
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_COMPUTE_ACCELERATED_TARGET_BASE = 0x10000
};

/* "cydriver.pxd":3807
 * cdef enum: CU_COMPUTE_ACCELERATED_TARGET_BASE = 65536
 * 
 * cdef enum: CU_COMPUTE_FAMILY_TARGET_BASE = 131072             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_GRAPH_COND_ASSIGN_DEFAULT = 1
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_COMPUTE_FAMILY_TARGET_BASE = 0x20000
};

/* "cydriver.pxd":3809
 * cdef enum: CU_COMPUTE_FAMILY_TARGET_BASE = 131072
 * 
 * cdef enum: CU_GRAPH_COND_ASSIGN_DEFAULT = 1             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_GRAPH_KERNEL_NODE_PORT_DEFAULT = 0
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_GRAPH_COND_ASSIGN_DEFAULT = 1
};

/* "cydriver.pxd":3811
 * cdef enum: CU_GRAPH_COND_ASSIGN_DEFAULT = 1
 * 
 * cdef enum: CU_GRAPH_KERNEL_NODE_PORT_DEFAULT = 0             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_GRAPH_KERNEL_NODE_PORT_PROGRAMMATIC = 1
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_GRAPH_KERNEL_NODE_PORT_DEFAULT = 0
};

/* "cydriver.pxd":3813
 * cdef enum: CU_GRAPH_KERNEL_NODE_PORT_DEFAULT = 0
 * 
 * cdef enum: CU_GRAPH_KERNEL_NODE_PORT_PROGRAMMATIC = 1             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_GRAPH_KERNEL_NODE_PORT_LAUNCH_ORDER = 2
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_GRAPH_KERNEL_NODE_PORT_PROGRAMMATIC = 1
};

/* "cydriver.pxd":3815
 * cdef enum: CU_GRAPH_KERNEL_NODE_PORT_PROGRAMMATIC = 1
 * 
 * cdef enum: CU_GRAPH_KERNEL_NODE_PORT_LAUNCH_ORDER = 2             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_KERNEL_NODE_ATTRIBUTE_ACCESS_POLICY_WINDOW = 1
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_GRAPH_KERNEL_NODE_PORT_LAUNCH_ORDER = 2
};

/* "cydriver.pxd":3817
 * cdef enum: CU_GRAPH_KERNEL_NODE_PORT_LAUNCH_ORDER = 2
 * 
 * cdef enum: CU_KERNEL_NODE_ATTRIBUTE_ACCESS_POLICY_WINDOW = 1             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_KERNEL_NODE_ATTRIBUTE_COOPERATIVE = 2
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_KERNEL_NODE_ATTRIBUTE_ACCESS_POLICY_WINDOW = 1
};

/* "cydriver.pxd":3819
 * cdef enum: CU_KERNEL_NODE_ATTRIBUTE_ACCESS_POLICY_WINDOW = 1
 * 
 * cdef enum: CU_KERNEL_NODE_ATTRIBUTE_COOPERATIVE = 2             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_KERNEL_NODE_ATTRIBUTE_CLUSTER_DIMENSION = 4
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_KERNEL_NODE_ATTRIBUTE_COOPERATIVE = 2
};

/* "cydriver.pxd":3821
 * cdef enum: CU_KERNEL_NODE_ATTRIBUTE_COOPERATIVE = 2
 * 
 * cdef enum: CU_KERNEL_NODE_ATTRIBUTE_CLUSTER_DIMENSION = 4             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_KERNEL_NODE_ATTRIBUTE_CLUSTER_SCHEDULING_POLICY_PREFERENCE = 5
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_KERNEL_NODE_ATTRIBUTE_CLUSTER_DIMENSION = 4
};

/* "cydriver.pxd":3823
 * cdef enum: CU_KERNEL_NODE_ATTRIBUTE_CLUSTER_DIMENSION = 4
 * 
 * cdef enum: CU_KERNEL_NODE_ATTRIBUTE_CLUSTER_SCHEDULING_POLICY_PREFERENCE = 5             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_KERNEL_NODE_ATTRIBUTE_PRIORITY = 8
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_KERNEL_NODE_ATTRIBUTE_CLUSTER_SCHEDULING_POLICY_PREFERENCE = 5
};

/* "cydriver.pxd":3825
 * cdef enum: CU_KERNEL_NODE_ATTRIBUTE_CLUSTER_SCHEDULING_POLICY_PREFERENCE = 5
 * 
 * cdef enum: CU_KERNEL_NODE_ATTRIBUTE_PRIORITY = 8             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_KERNEL_NODE_ATTRIBUTE_MEM_SYNC_DOMAIN_MAP = 9
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_KERNEL_NODE_ATTRIBUTE_PRIORITY = 8
};

/* "cydriver.pxd":3827
 * cdef enum: CU_KERNEL_NODE_ATTRIBUTE_PRIORITY = 8
 * 
 * cdef enum: CU_KERNEL_NODE_ATTRIBUTE_MEM_SYNC_DOMAIN_MAP = 9             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_KERNEL_NODE_ATTRIBUTE_MEM_SYNC_DOMAIN = 10
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_KERNEL_NODE_ATTRIBUTE_MEM_SYNC_DOMAIN_MAP = 9
};

/* "cydriver.pxd":3829
 * cdef enum: CU_KERNEL_NODE_ATTRIBUTE_MEM_SYNC_DOMAIN_MAP = 9
 * 
 * cdef enum: CU_KERNEL_NODE_ATTRIBUTE_MEM_SYNC_DOMAIN = 10             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_KERNEL_NODE_ATTRIBUTE_PREFERRED_CLUSTER_DIMENSION = 11
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_KERNEL_NODE_ATTRIBUTE_MEM_SYNC_DOMAIN = 10
};

/* "cydriver.pxd":3831
 * cdef enum: CU_KERNEL_NODE_ATTRIBUTE_MEM_SYNC_DOMAIN = 10
 * 
 * cdef enum: CU_KERNEL_NODE_ATTRIBUTE_PREFERRED_CLUSTER_DIMENSION = 11             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_KERNEL_NODE_ATTRIBUTE_DEVICE_UPDATABLE_KERNEL_NODE = 13
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_KERNEL_NODE_ATTRIBUTE_PREFERRED_CLUSTER_DIMENSION = 11
};

/* "cydriver.pxd":3833
 * cdef enum: CU_KERNEL_NODE_ATTRIBUTE_PREFERRED_CLUSTER_DIMENSION = 11
 * 
 * cdef enum: CU_KERNEL_NODE_ATTRIBUTE_DEVICE_UPDATABLE_KERNEL_NODE = 13             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_KERNEL_NODE_ATTRIBUTE_PREFERRED_SHARED_MEMORY_CARVEOUT = 14
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_KERNEL_NODE_ATTRIBUTE_DEVICE_UPDATABLE_KERNEL_NODE = 13
};

/* "cydriver.pxd":3835
 * cdef enum: CU_KERNEL_NODE_ATTRIBUTE_DEVICE_UPDATABLE_KERNEL_NODE = 13
 * 
 * cdef enum: CU_KERNEL_NODE_ATTRIBUTE_PREFERRED_SHARED_MEMORY_CARVEOUT = 14             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_STREAM_ATTRIBUTE_ACCESS_POLICY_WINDOW = 1
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_KERNEL_NODE_ATTRIBUTE_PREFERRED_SHARED_MEMORY_CARVEOUT = 14
};

/* "cydriver.pxd":3837
 * cdef enum: CU_KERNEL_NODE_ATTRIBUTE_PREFERRED_SHARED_MEMORY_CARVEOUT = 14
 * 
 * cdef enum: CU_STREAM_ATTRIBUTE_ACCESS_POLICY_WINDOW = 1             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_STREAM_ATTRIBUTE_SYNCHRONIZATION_POLICY = 3
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_STREAM_ATTRIBUTE_ACCESS_POLICY_WINDOW = 1
};

/* "cydriver.pxd":3839
 * cdef enum: CU_STREAM_ATTRIBUTE_ACCESS_POLICY_WINDOW = 1
 * 
 * cdef enum: CU_STREAM_ATTRIBUTE_SYNCHRONIZATION_POLICY = 3             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_STREAM_ATTRIBUTE_PRIORITY = 8
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_STREAM_ATTRIBUTE_SYNCHRONIZATION_POLICY = 3
};

/* "cydriver.pxd":3841
 * cdef enum: CU_STREAM_ATTRIBUTE_SYNCHRONIZATION_POLICY = 3
 * 
 * cdef enum: CU_STREAM_ATTRIBUTE_PRIORITY = 8             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_STREAM_ATTRIBUTE_MEM_SYNC_DOMAIN_MAP = 9
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_STREAM_ATTRIBUTE_PRIORITY = 8
};

/* "cydriver.pxd":3843
 * cdef enum: CU_STREAM_ATTRIBUTE_PRIORITY = 8
 * 
 * cdef enum: CU_STREAM_ATTRIBUTE_MEM_SYNC_DOMAIN_MAP = 9             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_STREAM_ATTRIBUTE_MEM_SYNC_DOMAIN = 10
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_STREAM_ATTRIBUTE_MEM_SYNC_DOMAIN_MAP = 9
};

/* "cydriver.pxd":3845
 * cdef enum: CU_STREAM_ATTRIBUTE_MEM_SYNC_DOMAIN_MAP = 9
 * 
 * cdef enum: CU_STREAM_ATTRIBUTE_MEM_SYNC_DOMAIN = 10             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_MEMHOSTALLOC_PORTABLE = 1
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_STREAM_ATTRIBUTE_MEM_SYNC_DOMAIN = 10
};

/* "cydriver.pxd":3847
 * cdef enum: CU_STREAM_ATTRIBUTE_MEM_SYNC_DOMAIN = 10
 * 
 * cdef enum: CU_MEMHOSTALLOC_PORTABLE = 1             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_MEMHOSTALLOC_DEVICEMAP = 2
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_MEMHOSTALLOC_PORTABLE = 1
};

/* "cydriver.pxd":3849
 * cdef enum: CU_MEMHOSTALLOC_PORTABLE = 1
 * 
 * cdef enum: CU_MEMHOSTALLOC_DEVICEMAP = 2             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_MEMHOSTALLOC_WRITECOMBINED = 4
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_MEMHOSTALLOC_DEVICEMAP = 2
};

/* "cydriver.pxd":3851
 * cdef enum: CU_MEMHOSTALLOC_DEVICEMAP = 2
 * 
 * cdef enum: CU_MEMHOSTALLOC_WRITECOMBINED = 4             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_MEMHOSTREGISTER_PORTABLE = 1
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_MEMHOSTALLOC_WRITECOMBINED = 4
};

/* "cydriver.pxd":3853
 * cdef enum: CU_MEMHOSTALLOC_WRITECOMBINED = 4
 * 
 * cdef enum: CU_MEMHOSTREGISTER_PORTABLE = 1             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_MEMHOSTREGISTER_DEVICEMAP = 2
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_MEMHOSTREGISTER_PORTABLE = 1
};

/* "cydriver.pxd":3855
 * cdef enum: CU_MEMHOSTREGISTER_PORTABLE = 1
 * 
 * cdef enum: CU_MEMHOSTREGISTER_DEVICEMAP = 2             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_MEMHOSTREGISTER_IOMEMORY = 4
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_MEMHOSTREGISTER_DEVICEMAP = 2
};

/* "cydriver.pxd":3857
 * cdef enum: CU_MEMHOSTREGISTER_DEVICEMAP = 2
 * 
 * cdef enum: CU_MEMHOSTREGISTER_IOMEMORY = 4             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_MEMHOSTREGISTER_READ_ONLY = 8
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_MEMHOSTREGISTER_IOMEMORY = 4
};

/* "cydriver.pxd":3859
 * cdef enum: CU_MEMHOSTREGISTER_IOMEMORY = 4
 * 
 * cdef enum: CU_MEMHOSTREGISTER_READ_ONLY = 8             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_ARRAY_SPARSE_PROPERTIES_SINGLE_MIPTAIL = 1
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_MEMHOSTREGISTER_READ_ONLY = 8
};

/* "cydriver.pxd":3861
 * cdef enum: CU_MEMHOSTREGISTER_READ_ONLY = 8
 * 
 * cdef enum: CU_ARRAY_SPARSE_PROPERTIES_SINGLE_MIPTAIL = 1             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_TENSOR_MAP_NUM_QWORDS = 16
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_ARRAY_SPARSE_PROPERTIES_SINGLE_MIPTAIL = 1
};

/* "cydriver.pxd":3863
 * cdef enum: CU_ARRAY_SPARSE_PROPERTIES_SINGLE_MIPTAIL = 1
 * 
 * cdef enum: CU_TENSOR_MAP_NUM_QWORDS = 16             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CUDA_EXTERNAL_MEMORY_DEDICATED = 1
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_TENSOR_MAP_NUM_QWORDS = 16
};

/* "cydriver.pxd":3865
 * cdef enum: CU_TENSOR_MAP_NUM_QWORDS = 16
 * 
 * cdef enum: CUDA_EXTERNAL_MEMORY_DEDICATED = 1             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CUDA_EXTERNAL_SEMAPHORE_SIGNAL_SKIP_NVSCIBUF_MEMSYNC = 1
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CUDA_EXTERNAL_MEMORY_DEDICATED = 1
};

/* "cydriver.pxd":3867
 * cdef enum: CUDA_EXTERNAL_MEMORY_DEDICATED = 1
 * 
 * cdef enum: CUDA_EXTERNAL_SEMAPHORE_SIGNAL_SKIP_NVSCIBUF_MEMSYNC = 1             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CUDA_EXTERNAL_SEMAPHORE_WAIT_SKIP_NVSCIBUF_MEMSYNC = 2
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CUDA_EXTERNAL_SEMAPHORE_SIGNAL_SKIP_NVSCIBUF_MEMSYNC = 1
};

/* "cydriver.pxd":3869
 * cdef enum: CUDA_EXTERNAL_SEMAPHORE_SIGNAL_SKIP_NVSCIBUF_MEMSYNC = 1
 * 
 * cdef enum: CUDA_EXTERNAL_SEMAPHORE_WAIT_SKIP_NVSCIBUF_MEMSYNC = 2             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CUDA_NVSCISYNC_ATTR_SIGNAL = 1
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CUDA_EXTERNAL_SEMAPHORE_WAIT_SKIP_NVSCIBUF_MEMSYNC = 2
};

/* "cydriver.pxd":3871
 * cdef enum: CUDA_EXTERNAL_SEMAPHORE_WAIT_SKIP_NVSCIBUF_MEMSYNC = 2
 * 
 * cdef enum: CUDA_NVSCISYNC_ATTR_SIGNAL = 1             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CUDA_NVSCISYNC_ATTR_WAIT = 2
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CUDA_NVSCISYNC_ATTR_SIGNAL = 1
};

/* "cydriver.pxd":3873
 * cdef enum: CUDA_NVSCISYNC_ATTR_SIGNAL = 1
 * 
 * cdef enum: CUDA_NVSCISYNC_ATTR_WAIT = 2             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_MEM_CREATE_USAGE_TILE_POOL = 1
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CUDA_NVSCISYNC_ATTR_WAIT = 2
};

/* "cydriver.pxd":3875
 * cdef enum: CUDA_NVSCISYNC_ATTR_WAIT = 2
 * 
 * cdef enum: CU_MEM_CREATE_USAGE_TILE_POOL = 1             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_MEM_CREATE_USAGE_HW_DECOMPRESS = 2
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_MEM_CREATE_USAGE_TILE_POOL = 1
};

/* "cydriver.pxd":3877
 * cdef enum: CU_MEM_CREATE_USAGE_TILE_POOL = 1
 * 
 * cdef enum: CU_MEM_CREATE_USAGE_HW_DECOMPRESS = 2             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_MEM_POOL_CREATE_USAGE_HW_DECOMPRESS = 2
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_MEM_CREATE_USAGE_HW_DECOMPRESS = 2
};

/* "cydriver.pxd":3879
 * cdef enum: CU_MEM_CREATE_USAGE_HW_DECOMPRESS = 2
 * 
 * cdef enum: CU_MEM_POOL_CREATE_USAGE_HW_DECOMPRESS = 2             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CUDA_COOPERATIVE_LAUNCH_MULTI_DEVICE_NO_PRE_LAUNCH_SYNC = 1
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_MEM_POOL_CREATE_USAGE_HW_DECOMPRESS = 2
};

/* "cydriver.pxd":3881
 * cdef enum: CU_MEM_POOL_CREATE_USAGE_HW_DECOMPRESS = 2
 * 
 * cdef enum: CUDA_COOPERATIVE_LAUNCH_MULTI_DEVICE_NO_PRE_LAUNCH_SYNC = 1             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CUDA_COOPERATIVE_LAUNCH_MULTI_DEVICE_NO_POST_LAUNCH_SYNC = 2
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CUDA_COOPERATIVE_LAUNCH_MULTI_DEVICE_NO_PRE_LAUNCH_SYNC = 1
};

/* "cydriver.pxd":3883
 * cdef enum: CUDA_COOPERATIVE_LAUNCH_MULTI_DEVICE_NO_PRE_LAUNCH_SYNC = 1
 * 
 * cdef enum: CUDA_COOPERATIVE_LAUNCH_MULTI_DEVICE_NO_POST_LAUNCH_SYNC = 2             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CUDA_ARRAY3D_LAYERED = 1
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CUDA_COOPERATIVE_LAUNCH_MULTI_DEVICE_NO_POST_LAUNCH_SYNC = 2
};

/* "cydriver.pxd":3885
 * cdef enum: CUDA_COOPERATIVE_LAUNCH_MULTI_DEVICE_NO_POST_LAUNCH_SYNC = 2
 * 
 * cdef enum: CUDA_ARRAY3D_LAYERED = 1             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CUDA_ARRAY3D_2DARRAY = 1
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CUDA_ARRAY3D_LAYERED = 1
};

/* "cydriver.pxd":3887
 * cdef enum: CUDA_ARRAY3D_LAYERED = 1
 * 
 * cdef enum: CUDA_ARRAY3D_2DARRAY = 1             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CUDA_ARRAY3D_SURFACE_LDST = 2
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CUDA_ARRAY3D_2DARRAY = 1
};

/* "cydriver.pxd":3889
 * cdef enum: CUDA_ARRAY3D_2DARRAY = 1
 * 
 * cdef enum: CUDA_ARRAY3D_SURFACE_LDST = 2             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CUDA_ARRAY3D_CUBEMAP = 4
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CUDA_ARRAY3D_SURFACE_LDST = 2
};

/* "cydriver.pxd":3891
 * cdef enum: CUDA_ARRAY3D_SURFACE_LDST = 2
 * 
 * cdef enum: CUDA_ARRAY3D_CUBEMAP = 4             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CUDA_ARRAY3D_TEXTURE_GATHER = 8
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CUDA_ARRAY3D_CUBEMAP = 4
};

/* "cydriver.pxd":3893
 * cdef enum: CUDA_ARRAY3D_CUBEMAP = 4
 * 
 * cdef enum: CUDA_ARRAY3D_TEXTURE_GATHER = 8             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CUDA_ARRAY3D_DEPTH_TEXTURE = 16
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CUDA_ARRAY3D_TEXTURE_GATHER = 8
};

/* "cydriver.pxd":3895
 * cdef enum: CUDA_ARRAY3D_TEXTURE_GATHER = 8
 * 
 * cdef enum: CUDA_ARRAY3D_DEPTH_TEXTURE = 16             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CUDA_ARRAY3D_COLOR_ATTACHMENT = 32
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CUDA_ARRAY3D_DEPTH_TEXTURE = 16
};

/* "cydriver.pxd":3897
 * cdef enum: CUDA_ARRAY3D_DEPTH_TEXTURE = 16
 * 
 * cdef enum: CUDA_ARRAY3D_COLOR_ATTACHMENT = 32             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CUDA_ARRAY3D_SPARSE = 64
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CUDA_ARRAY3D_COLOR_ATTACHMENT = 32
};

/* "cydriver.pxd":3899
 * cdef enum: CUDA_ARRAY3D_COLOR_ATTACHMENT = 32
 * 
 * cdef enum: CUDA_ARRAY3D_SPARSE = 64             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CUDA_ARRAY3D_DEFERRED_MAPPING = 128
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CUDA_ARRAY3D_SPARSE = 64
};

/* "cydriver.pxd":3901
 * cdef enum: CUDA_ARRAY3D_SPARSE = 64
 * 
 * cdef enum: CUDA_ARRAY3D_DEFERRED_MAPPING = 128             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CUDA_ARRAY3D_VIDEO_ENCODE_DECODE = 256
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CUDA_ARRAY3D_DEFERRED_MAPPING = 0x80
};

/* "cydriver.pxd":3903
 * cdef enum: CUDA_ARRAY3D_DEFERRED_MAPPING = 128
 * 
 * cdef enum: CUDA_ARRAY3D_VIDEO_ENCODE_DECODE = 256             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_TRSA_OVERRIDE_FORMAT = 1
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CUDA_ARRAY3D_VIDEO_ENCODE_DECODE = 0x100
};

/* "cydriver.pxd":3905
 * cdef enum: CUDA_ARRAY3D_VIDEO_ENCODE_DECODE = 256
 * 
 * cdef enum: CU_TRSA_OVERRIDE_FORMAT = 1             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_TRSF_READ_AS_INTEGER = 1
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_TRSA_OVERRIDE_FORMAT = 1
};

/* "cydriver.pxd":3907
 * cdef enum: CU_TRSA_OVERRIDE_FORMAT = 1
 * 
 * cdef enum: CU_TRSF_READ_AS_INTEGER = 1             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_TRSF_NORMALIZED_COORDINATES = 2
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_TRSF_READ_AS_INTEGER = 1
};

/* "cydriver.pxd":3909
 * cdef enum: CU_TRSF_READ_AS_INTEGER = 1
 * 
 * cdef enum: CU_TRSF_NORMALIZED_COORDINATES = 2             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_TRSF_SRGB = 16
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_TRSF_NORMALIZED_COORDINATES = 2
};

/* "cydriver.pxd":3911
 * cdef enum: CU_TRSF_NORMALIZED_COORDINATES = 2
 * 
 * cdef enum: CU_TRSF_SRGB = 16             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_TRSF_DISABLE_TRILINEAR_OPTIMIZATION = 32
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_TRSF_SRGB = 16
};

/* "cydriver.pxd":3913
 * cdef enum: CU_TRSF_SRGB = 16
 * 
 * cdef enum: CU_TRSF_DISABLE_TRILINEAR_OPTIMIZATION = 32             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_TRSF_SEAMLESS_CUBEMAP = 64
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_TRSF_DISABLE_TRILINEAR_OPTIMIZATION = 32
};

/* "cydriver.pxd":3915
 * cdef enum: CU_TRSF_DISABLE_TRILINEAR_OPTIMIZATION = 32
 * 
 * cdef enum: CU_TRSF_SEAMLESS_CUBEMAP = 64             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_LAUNCH_KERNEL_REQUIRED_BLOCK_DIM = 1
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_TRSF_SEAMLESS_CUBEMAP = 64
};

/* "cydriver.pxd":3917
 * cdef enum: CU_TRSF_SEAMLESS_CUBEMAP = 64
 * 
 * cdef enum: CU_LAUNCH_KERNEL_REQUIRED_BLOCK_DIM = 1             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_LAUNCH_PARAM_END_AS_INT = 0
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_LAUNCH_KERNEL_REQUIRED_BLOCK_DIM = 1
};

/* "cydriver.pxd":3919
 * cdef enum: CU_LAUNCH_KERNEL_REQUIRED_BLOCK_DIM = 1
 * 
 * cdef enum: CU_LAUNCH_PARAM_END_AS_INT = 0             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_LAUNCH_PARAM_END = 0
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_LAUNCH_PARAM_END_AS_INT = 0
};

/* "cydriver.pxd":3921
 * cdef enum: CU_LAUNCH_PARAM_END_AS_INT = 0
 * 
 * cdef enum: CU_LAUNCH_PARAM_END = 0             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_LAUNCH_PARAM_BUFFER_POINTER_AS_INT = 1
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_LAUNCH_PARAM_END = 0
};

/* "cydriver.pxd":3923
 * cdef enum: CU_LAUNCH_PARAM_END = 0
 * 
 * cdef enum: CU_LAUNCH_PARAM_BUFFER_POINTER_AS_INT = 1             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_LAUNCH_PARAM_BUFFER_POINTER = 1
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_LAUNCH_PARAM_BUFFER_POINTER_AS_INT = 1
};

/* "cydriver.pxd":3925
 * cdef enum: CU_LAUNCH_PARAM_BUFFER_POINTER_AS_INT = 1
 * 
 * cdef enum: CU_LAUNCH_PARAM_BUFFER_POINTER = 1             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_LAUNCH_PARAM_BUFFER_SIZE_AS_INT = 2
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_LAUNCH_PARAM_BUFFER_POINTER = 1
};

/* "cydriver.pxd":3927
 * cdef enum: CU_LAUNCH_PARAM_BUFFER_POINTER = 1
 * 
 * cdef enum: CU_LAUNCH_PARAM_BUFFER_SIZE_AS_INT = 2             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_LAUNCH_PARAM_BUFFER_SIZE = 2
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_LAUNCH_PARAM_BUFFER_SIZE_AS_INT = 2
};

/* "cydriver.pxd":3929
 * cdef enum: CU_LAUNCH_PARAM_BUFFER_SIZE_AS_INT = 2
 * 
 * cdef enum: CU_LAUNCH_PARAM_BUFFER_SIZE = 2             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_PARAM_TR_DEFAULT = -1
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_LAUNCH_PARAM_BUFFER_SIZE = 2
};

/* "cydriver.pxd":3931
 * cdef enum: CU_LAUNCH_PARAM_BUFFER_SIZE = 2
 * 
 * cdef enum: CU_PARAM_TR_DEFAULT = -1             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_DEVICE_CPU = -1
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_PARAM_TR_DEFAULT = -1L
};

/* "cydriver.pxd":3933
 * cdef enum: CU_PARAM_TR_DEFAULT = -1
 * 
 * cdef enum: CU_DEVICE_CPU = -1             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CU_DEVICE_INVALID = -2
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_DEVICE_CPU = -1L
};

/* "cydriver.pxd":3935
 * cdef enum: CU_DEVICE_CPU = -1
 * 
 * cdef enum: CU_DEVICE_INVALID = -2             # <<<<<<<<<<<<<<
 * 
 * cdef enum: MAX_PLANES = 3
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CU_DEVICE_INVALID = -2L
};

/* "cydriver.pxd":3937
 * cdef enum: CU_DEVICE_INVALID = -2
 * 
 * cdef enum: MAX_PLANES = 3             # <<<<<<<<<<<<<<
 * 
 * cdef enum: CUDA_EGL_INFINITE_TIMEOUT = 4294967295
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_MAX_PLANES = 3
};

/* "cydriver.pxd":3939
 * cdef enum: MAX_PLANES = 3
 * 
 * cdef enum: CUDA_EGL_INFINITE_TIMEOUT = 4294967295             # <<<<<<<<<<<<<<
*/
enum  {
  __pyx_e_4cuda_8bindings_8cydriver_CUDA_EGL_INFINITE_TIMEOUT = 0xFFFFFFFF
};

/* "cydriver.pxd":2617
 *     CU_EGL_FRAME_TYPE_PITCH = 1
 * 
 * ctypedef CUeglFrameType_enum CUeglFrameType             # <<<<<<<<<<<<<<
 * 
 * cdef enum CUeglResourceLocationFlags_enum:
*/
typedef enum __pyx_t_4cuda_8bindings_8cydriver_CUeglFrameType_enum __pyx_t_4cuda_8bindings_8cydriver_CUeglFrameType;

/* "cydriver.pxd":2623
 *     CU_EGL_RESOURCE_LOCATION_VIDMEM = 1
 * 
 * ctypedef CUeglResourceLocationFlags_enum CUeglResourceLocationFlags             # <<<<<<<<<<<<<<
 * 
 * cdef enum CUeglColorFormat_enum:
*/
typedef enum __pyx_t_4cuda_8bindings_8cydriver_CUeglResourceLocationFlags_enum __pyx_t_4cuda_8bindings_8cydriver_CUeglResourceLocationFlags;

/* "cydriver.pxd":2745
 *     CU_EGL_COLOR_FORMAT_MAX = 117
 * 
 * ctypedef CUeglColorFormat_enum CUeglColorFormat             # <<<<<<<<<<<<<<
 * 
 * cdef union anon_union16:
*/
typedef enum __pyx_t_4cuda_8bindings_8cydriver_CUeglColorFormat_enum __pyx_t_4cuda_8bindings_8cydriver_CUeglColorFormat;

/* "cydriver.pxd":2747
 * ctypedef CUeglColorFormat_enum CUeglColorFormat
 * 
 * cdef union anon_union16:             # <<<<<<<<<<<<<<
 *     CUarray pArray[3]
 *     void* pPitch[3]
*/
union __pyx_t_4cuda_8bindings_8cydriver_anon_union16 {
  CUarray pArray[3];
  void *pPitch[3];
};

/* "cydriver.pxd":2751
 *     void* pPitch[3]
 * 
 * cdef struct CUeglFrame_st:             # <<<<<<<<<<<<<<
 *     anon_union16 frame
 *     unsigned int width
*/
struct __pyx_t_4cuda_8bindings_8cydriver_CUeglFrame_st {
  union __pyx_t_4cuda_8bindings_8cydriver_anon_union16 frame;
  unsigned int width;
  unsigned int height;
  unsigned int depth;
  unsigned int pitch;
  unsigned int planeCount;
  unsigned int numChannels;
  __pyx_t_4cuda_8bindings_8cydriver_CUeglFrameType frameType;
  __pyx_t_4cuda_8bindings_8cydriver_CUeglColorFormat eglColorFormat;
  CUarray_format cuFormat;
};

/* "cydriver.pxd":2763
 *     CUarray_format cuFormat
 * 
 * ctypedef CUeglFrame_st CUeglFrame_v1             # <<<<<<<<<<<<<<
 * 
 * ctypedef CUeglFrame_v1 CUeglFrame
*/
typedef struct __pyx_t_4cuda_8bindings_8cydriver_CUeglFrame_st __pyx_t_4cuda_8bindings_8cydriver_CUeglFrame_v1;

/* "cydriver.pxd":2765
 * ctypedef CUeglFrame_st CUeglFrame_v1
 * 
 * ctypedef CUeglFrame_v1 CUeglFrame             # <<<<<<<<<<<<<<
 * 
 * cdef extern from "":
*/
typedef __pyx_t_4cuda_8bindings_8cydriver_CUeglFrame_v1 __pyx_t_4cuda_8bindings_8cydriver_CUeglFrame;

/* "cydriver.pxd":2770
 *     cdef struct CUeglStreamConnection_st:
 *         pass
 * ctypedef CUeglStreamConnection_st* CUeglStreamConnection             # <<<<<<<<<<<<<<
 * 
 * cdef enum CUGLDeviceList_enum:
*/
typedef struct CUeglStreamConnection_st *__pyx_t_4cuda_8bindings_8cydriver_CUeglStreamConnection;

/* "cydriver.pxd":2777
 *     CU_GL_DEVICE_LIST_NEXT_FRAME = 3
 * 
 * ctypedef CUGLDeviceList_enum CUGLDeviceList             # <<<<<<<<<<<<<<
 * 
 * cdef enum CUGLmap_flags_enum:
*/
typedef enum __pyx_t_4cuda_8bindings_8cydriver_CUGLDeviceList_enum __pyx_t_4cuda_8bindings_8cydriver_CUGLDeviceList;

/* "cydriver.pxd":2784
 *     CU_GL_MAP_RESOURCE_FLAGS_WRITE_DISCARD = 2
 * 
 * ctypedef CUGLmap_flags_enum CUGLmap_flags             # <<<<<<<<<<<<<<
 * 
 * ctypedef unsigned int GLenum
*/
typedef enum __pyx_t_4cuda_8bindings_8cydriver_CUGLmap_flags_enum __pyx_t_4cuda_8bindings_8cydriver_CUGLmap_flags;

/* "cydriver.pxd":2793
 *     cdef struct void:
 *         pass
 * ctypedef void* EGLImageKHR             # <<<<<<<<<<<<<<
 * 
 * cdef extern from "":
*/
typedef void *__pyx_t_4cuda_8bindings_8cydriver_EGLImageKHR;

/* "cydriver.pxd":2798
 *     cdef struct void:
 *         pass
 * ctypedef void* EGLStreamKHR             # <<<<<<<<<<<<<<
 * 
 * ctypedef unsigned int EGLint
*/
typedef void *__pyx_t_4cuda_8bindings_8cydriver_EGLStreamKHR;

/* "cydriver.pxd":2805
 *     cdef struct void:
 *         pass
 * ctypedef void* EGLSyncKHR             # <<<<<<<<<<<<<<
 * 
 * ctypedef uint32_t VdpDevice
*/
typedef void *__pyx_t_4cuda_8bindings_8cydriver_EGLSyncKHR;

/* "cynvvm.pxd":13
 * 
 * # enums
 * ctypedef enum nvvmResult "nvvmResult":             # <<<<<<<<<<<<<<
 *     NVVM_SUCCESS "NVVM_SUCCESS" = 0
 *     NVVM_ERROR_OUT_OF_MEMORY "NVVM_ERROR_OUT_OF_MEMORY" = 1
*/
enum nvvmResult {
  NVVM_SUCCESS = 0,
  NVVM_ERROR_OUT_OF_MEMORY = 1,
  NVVM_ERROR_PROGRAM_CREATION_FAILURE = 2,
  NVVM_ERROR_IR_VERSION_MISMATCH = 3,
  NVVM_ERROR_INVALID_INPUT = 4,
  NVVM_ERROR_INVALID_PROGRAM = 5,
  NVVM_ERROR_INVALID_IR = 6,
  NVVM_ERROR_INVALID_OPTION = 7,
  NVVM_ERROR_NO_MODULE_IN_PROGRAM = 8,
  NVVM_ERROR_COMPILATION = 9,
  NVVM_ERROR_CANCELLED = 10,
  _NVVMRESULT_INTERNAL_LOADING_ERROR = -42L
};
typedef enum nvvmResult nvvmResult;

/* "cynvvm.pxd":29
 * 
 * # types
 * ctypedef void* nvvmProgram 'nvvmProgram'             # <<<<<<<<<<<<<<
 * 
 * 
*/
typedef void *nvvmProgram;

/* "cynvjitlink.pxd":15
 * 
 * # enums
 * ctypedef enum nvJitLinkResult "nvJitLinkResult":             # <<<<<<<<<<<<<<
 *     NVJITLINK_SUCCESS "NVJITLINK_SUCCESS" = 0
 *     NVJITLINK_ERROR_UNRECOGNIZED_OPTION "NVJITLINK_ERROR_UNRECOGNIZED_OPTION"
*/
enum nvJitLinkResult {
  NVJITLINK_SUCCESS = 0,
  NVJITLINK_ERROR_UNRECOGNIZED_OPTION,
  NVJITLINK_ERROR_MISSING_ARCH,
  NVJITLINK_ERROR_INVALID_INPUT,
  NVJITLINK_ERROR_PTX_COMPILE,
  NVJITLINK_ERROR_NVVM_COMPILE,
  NVJITLINK_ERROR_INTERNAL,
  NVJITLINK_ERROR_THREADPOOL,
  NVJITLINK_ERROR_UNRECOGNIZED_INPUT,
  NVJITLINK_ERROR_FINALIZE,
  NVJITLINK_ERROR_NULL_INPUT,
  NVJITLINK_ERROR_INCOMPATIBLE_OPTIONS,
  NVJITLINK_ERROR_INCORRECT_INPUT_TYPE,
  NVJITLINK_ERROR_ARCH_MISMATCH,
  NVJITLINK_ERROR_OUTDATED_LIBRARY,
  NVJITLINK_ERROR_MISSING_FATBIN,
  NVJITLINK_ERROR_UNRECOGNIZED_ARCH,
  NVJITLINK_ERROR_UNSUPPORTED_ARCH,
  NVJITLINK_ERROR_LTO_NOT_ENABLED,
  _NVJITLINKRESULT_INTERNAL_LOADING_ERROR = -42L
};
typedef enum nvJitLinkResult nvJitLinkResult;

/* "cynvjitlink.pxd":37
 *     _NVJITLINKRESULT_INTERNAL_LOADING_ERROR "_NVJITLINKRESULT_INTERNAL_LOADING_ERROR" = -42
 * 
 * ctypedef enum nvJitLinkInputType "nvJitLinkInputType":             # <<<<<<<<<<<<<<
 *     NVJITLINK_INPUT_NONE "NVJITLINK_INPUT_NONE" = 0
 *     NVJITLINK_INPUT_CUBIN "NVJITLINK_INPUT_CUBIN" = 1
*/
enum nvJitLinkInputType {
  NVJITLINK_INPUT_NONE = 0,
  NVJITLINK_INPUT_CUBIN = 1,
  NVJITLINK_INPUT_PTX,
  NVJITLINK_INPUT_LTOIR,
  NVJITLINK_INPUT_FATBIN,
  NVJITLINK_INPUT_OBJECT,
  NVJITLINK_INPUT_LIBRARY,
  NVJITLINK_INPUT_INDEX,
  NVJITLINK_INPUT_ANY = 10
};
typedef enum nvJitLinkInputType nvJitLinkInputType;

/* "cynvjitlink.pxd":50
 * 
 * # types
 * ctypedef void* nvJitLinkHandle 'nvJitLinkHandle'             # <<<<<<<<<<<<<<
 * 
 * 
*/
typedef void *nvJitLinkHandle;
struct __pyx_opt_args_4cuda_4core_6_utils_10cuda_utils_check_or_create_options;

/* "cuda_utils.pxd":34
 * 
 * 
 * cpdef check_or_create_options(type cls, options, str options_description=*, bint keep_none=*)             # <<<<<<<<<<<<<<
 * 
 * cpdef tuple _parse_fill_value(value)
*/
struct __pyx_opt_args_4cuda_4core_6_utils_10cuda_utils_check_or_create_options {
  int __pyx_n;
  PyObject *options_description;
  int keep_none;
};
struct __pyx_t_4cuda_4core_7_layout_BaseLayout;
struct __pyx_opt_args_4cuda_4core_7_layout_14_StridedLayout__init;
struct __pyx_opt_args_4cuda_4core_7_layout_14_StridedLayout__init_dense;
struct __pyx_opt_args_4cuda_4core_7_layout_14_StridedLayout_init_from_ptr;
struct __pyx_opt_args_4cuda_4core_7_layout_14_StridedLayout_init_dense_from_ptr;
struct __pyx_opt_args_4cuda_4core_7_layout_14_StridedLayout_init_from_tuple;
struct __pyx_opt_args_4cuda_4core_7_layout_14_StridedLayout_get_max_compatible_itemsize;
struct __pyx_opt_args_4cuda_4core_7_layout_14_StridedLayout_pack_into;
struct __pyx_opt_args_4cuda_4core_7_layout_14_StridedLayout_unpack_into;

/* "cuda/core/_layout.pxd":41
 * 
 * 
 * cdef enum OrderFlag:             # <<<<<<<<<<<<<<
 *     ORDER_NONE = 0
 *     ORDER_C = 1
*/
enum __pyx_t_4cuda_4core_7_layout_OrderFlag {
  __pyx_e_4cuda_4core_7_layout_ORDER_NONE = 0,
  __pyx_e_4cuda_4core_7_layout_ORDER_C = 1,
  __pyx_e_4cuda_4core_7_layout_ORDER_F = 2,
  __pyx_e_4cuda_4core_7_layout_ORDER_PERM = 3
};

/* "cuda/core/_layout.pxd":48
 * 
 * 
 * cdef enum Property:             # <<<<<<<<<<<<<<
 *     PROP_IS_UNIQUE = 1 << 0
 *     PROP_IS_CONTIGUOUS_C = 1 << 1
*/
enum __pyx_t_4cuda_4core_7_layout_Property {

  /* "cuda/core/_layout.pxd":60
 *     PROP_STRIDES_IN_BYTES = 1 << 9
 *     PROP_STRIDE_ORDER = 1 << 10
 *     PROP_VOLUME = 1 << 11             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __pyx_e_4cuda_4core_7_layout_PROP_IS_UNIQUE = (1 << 0),
  __pyx_e_4cuda_4core_7_layout_PROP_IS_CONTIGUOUS_C = (1 << 1),
  __pyx_e_4cuda_4core_7_layout_PROP_IS_CONTIGUOUS_F = (1 << 2),
  __pyx_e_4cuda_4core_7_layout_PROP_IS_CONTIGUOUS_ANY = (1 << 3),
  __pyx_e_4cuda_4core_7_layout_PROP_IS_DENSE = (1 << 4),
  __pyx_e_4cuda_4core_7_layout_PROP_OFFSET_BOUNDS = (1 << 5),
  __pyx_e_4cuda_4core_7_layout_PROP_REQUIRED_SIZE_IN_BYTES = (1 << 6),
  __pyx_e_4cuda_4core_7_layout_PROP_SHAPE = (1 << 7),
  __pyx_e_4cuda_4core_7_layout_PROP_STRIDES = (1 << 8),
  __pyx_e_4cuda_4core_7_layout_PROP_STRIDES_IN_BYTES = (1 << 9),
  __pyx_e_4cuda_4core_7_layout_PROP_STRIDE_ORDER = (1 << 10),
  __pyx_e_4cuda_4core_7_layout_PROP_VOLUME = (1 << 11)
};

/* "cuda/core/_layout.pxd":18
 * ctypedef uint32_t property_mask_t
 * 
 * ctypedef vector.vector[stride_t] extents_strides_t             # <<<<<<<<<<<<<<
 * ctypedef vector.vector[axis_t] axis_vec_t
 * 
*/
typedef std::vector<__pyx_t_4cuda_4core_7_layout_stride_t>  __pyx_t_4cuda_4core_7_layout_extents_strides_t;

/* "cuda/core/_layout.pxd":19
 * 
 * ctypedef vector.vector[stride_t] extents_strides_t
 * ctypedef vector.vector[axis_t] axis_vec_t             # <<<<<<<<<<<<<<
 * 
 * from cuda.core._utils cimport cuda_utils
*/
typedef std::vector<__pyx_t_4cuda_4core_7_layout_axis_t>  __pyx_t_4cuda_4core_7_layout_axis_vec_t;

/* "cuda/core/_layout.pxd":63
 * 
 * 
 * cdef struct BaseLayout:             # <<<<<<<<<<<<<<
 *     # A struct holding the shape and strides for the layout.
 *     # Use ``init_base_layout`` to initialize the layout, it will
*/
struct __pyx_t_4cuda_4core_7_layout_BaseLayout {
  __pyx_t_4cuda_4core_7_layout_extents_strides_t _mem;
  __pyx_t_4cuda_4core_7_layout_extent_t *shape;
  __pyx_t_4cuda_4core_7_layout_stride_t *strides;
  int ndim;
};

/* "cuda/core/_layout.pxd":113
 *     # ==============================
 * 
 *     cdef inline int _init(_StridedLayout self, BaseLayout& base, int itemsize, bint divide_strides=False) except -1 nogil:             # <<<<<<<<<<<<<<
 *         if itemsize <= 0:
 *             raise ValueError("itemsize must be positive")
*/
struct __pyx_opt_args_4cuda_4core_7_layout_14_StridedLayout__init {
  int __pyx_n;
  int divide_strides;
};

/* "cuda/core/_layout.pxd":126
 *         return 0
 * 
 *     cdef inline stride_t _init_dense(_StridedLayout self, BaseLayout& base, int itemsize, OrderFlag order_flag, axis_vec_t* stride_order=NULL) except -1 nogil:             # <<<<<<<<<<<<<<
 *         if itemsize <= 0:
 *             raise ValueError("itemsize must be positive")
*/
struct __pyx_opt_args_4cuda_4core_7_layout_14_StridedLayout__init_dense {
  int __pyx_n;
  __pyx_t_4cuda_4core_7_layout_axis_vec_t *stride_order;
};

/* "cuda/core/_layout.pxd":149
 *         return 0
 * 
 *     cdef inline int init_from_ptr(_StridedLayout self, int ndim, extent_t* shape, stride_t* strides, int itemsize, bint divide_strides=False) except -1 nogil:             # <<<<<<<<<<<<<<
 *         cdef BaseLayout base
 *         _init_base_layout_from_ptr(base, ndim, shape, strides)
*/
struct __pyx_opt_args_4cuda_4core_7_layout_14_StridedLayout_init_from_ptr {
  int __pyx_n;
  int divide_strides;
};

/* "cuda/core/_layout.pxd":154
 *         return self._init(base, itemsize, divide_strides)
 * 
 *     cdef inline int init_dense_from_ptr(_StridedLayout self, int ndim, extent_t* shape, int itemsize, OrderFlag order_flag, axis_vec_t* stride_order=NULL) except -1 nogil:             # <<<<<<<<<<<<<<
 *         cdef BaseLayout base
 *         _init_base_layout_from_ptr(base, ndim, shape, NULL)
*/
struct __pyx_opt_args_4cuda_4core_7_layout_14_StridedLayout_init_dense_from_ptr {
  int __pyx_n;
  __pyx_t_4cuda_4core_7_layout_axis_vec_t *stride_order;
};

/* "cuda/core/_layout.pxd":159
 *         return self._init_dense(base, itemsize, order_flag, stride_order)
 * 
 *     cdef inline int init_from_tuple(_StridedLayout self, tuple shape, tuple strides, int itemsize, bint divide_strides=False) except -1:             # <<<<<<<<<<<<<<
 *         cdef BaseLayout base
 *         _init_base_layout_from_tuple(base, shape, strides)
*/
struct __pyx_opt_args_4cuda_4core_7_layout_14_StridedLayout_init_from_tuple {
  int __pyx_n;
  int divide_strides;
};

/* "cuda/core/_layout.pxd":315
 * 
 *     cdef axes_mask_t get_flattened_axis_mask(_StridedLayout self) except? -1 nogil
 *     cdef int get_max_compatible_itemsize(_StridedLayout self, int max_itemsize, intptr_t data_ptr, int axis=*) except -1 nogil             # <<<<<<<<<<<<<<
 * 
 *     # ==============================
*/
struct __pyx_opt_args_4cuda_4core_7_layout_14_StridedLayout_get_max_compatible_itemsize {
  int __pyx_n;
  int axis;
};

/* "cuda/core/_layout.pxd":329
 *     cdef int unsqueeze_into(_StridedLayout self, _StridedLayout out_layout, axis_vec_t& axis_vec) except -1 nogil
 *     cdef int broadcast_into(_StridedLayout self, _StridedLayout out_layout, BaseLayout& broadcast) except -1 nogil
 *     cdef int pack_into(_StridedLayout self, _StridedLayout out_layout, int itemsize, intptr_t data_ptr, bint keep_dim, int axis=*) except -1 nogil             # <<<<<<<<<<<<<<
 *     cdef int unpack_into(_StridedLayout self, _StridedLayout out_layout, int itemsize, int axis=*) except -1 nogil
 *     cdef int slice_into(_StridedLayout self, _StridedLayout out_layout, tuple slices) except -1
*/
struct __pyx_opt_args_4cuda_4core_7_layout_14_StridedLayout_pack_into {
  int __pyx_n;
  int axis;
};

/* "cuda/core/_layout.pxd":330
 *     cdef int broadcast_into(_StridedLayout self, _StridedLayout out_layout, BaseLayout& broadcast) except -1 nogil
 *     cdef int pack_into(_StridedLayout self, _StridedLayout out_layout, int itemsize, intptr_t data_ptr, bint keep_dim, int axis=*) except -1 nogil
 *     cdef int unpack_into(_StridedLayout self, _StridedLayout out_layout, int itemsize, int axis=*) except -1 nogil             # <<<<<<<<<<<<<<
 *     cdef int slice_into(_StridedLayout self, _StridedLayout out_layout, tuple slices) except -1
 * 
*/
struct __pyx_opt_args_4cuda_4core_7_layout_14_StridedLayout_unpack_into {
  int __pyx_n;
  int axis;
};

/* "cuda/core/_layout.pxd":79
 * 
 * 
 * @cython.final             # <<<<<<<<<<<<<<
 * cdef class _StridedLayout:
 * 
*/
struct __pyx_obj_4cuda_4core_7_layout__StridedLayout {
  PyObject_HEAD
  struct __pyx_vtabstruct_4cuda_4core_7_layout__StridedLayout *__pyx_vtab;
  struct __pyx_t_4cuda_4core_7_layout_BaseLayout base;
  int itemsize;
  __pyx_t_4cuda_4core_7_layout_stride_t slice_offset;
  __pyx_t_4cuda_4core_7_layout_property_mask_t _prop_mask;
  __pyx_t_4cuda_4core_7_layout_property_mask_t _boolean_props;
  int64_t _required_size_in_bytes;
  __pyx_t_4cuda_4core_7_layout_stride_t _min_offset;
  __pyx_t_4cuda_4core_7_layout_stride_t _max_offset;
  int64_t _volume;
  PyObject *_py_shape;
  PyObject *_py_strides;
  PyObject *_py_strides_in_bytes;
  PyObject *_py_stride_order;
};



/* "cuda/core/_layout.pyx":17
 * 
 * 
 * @cython.final             # <<<<<<<<<<<<<<
 * cdef class _StridedLayout:
 *     """
*/

struct __pyx_vtabstruct_4cuda_4core_7_layout__StridedLayout {
  int (*_init)(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, struct __pyx_t_4cuda_4core_7_layout_BaseLayout &, int, struct __pyx_opt_args_4cuda_4core_7_layout_14_StridedLayout__init *__pyx_optional_args);
  __pyx_t_4cuda_4core_7_layout_stride_t (*_init_dense)(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, struct __pyx_t_4cuda_4core_7_layout_BaseLayout &, int, enum __pyx_t_4cuda_4core_7_layout_OrderFlag, struct __pyx_opt_args_4cuda_4core_7_layout_14_StridedLayout__init_dense *__pyx_optional_args);
  int (*init_from_ptr)(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, int, __pyx_t_4cuda_4core_7_layout_extent_t *, __pyx_t_4cuda_4core_7_layout_stride_t *, int, struct __pyx_opt_args_4cuda_4core_7_layout_14_StridedLayout_init_from_ptr *__pyx_optional_args);
  int (*init_dense_from_ptr)(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, int, __pyx_t_4cuda_4core_7_layout_extent_t *, int, enum __pyx_t_4cuda_4core_7_layout_OrderFlag, struct __pyx_opt_args_4cuda_4core_7_layout_14_StridedLayout_init_dense_from_ptr *__pyx_optional_args);
  int (*init_from_tuple)(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, PyObject *, PyObject *, int, struct __pyx_opt_args_4cuda_4core_7_layout_14_StridedLayout_init_from_tuple *__pyx_optional_args);
  int (*init_dense_from_tuple)(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, PyObject *, int, PyObject *);
  PyObject *(*get_shape_tuple)(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *);
  PyObject *(*get_strides_tuple)(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *);
  int (*get_strides_in_bytes)(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, __pyx_t_4cuda_4core_7_layout_extents_strides_t &);
  PyObject *(*get_strides_in_bytes_tuple)(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *);
  int64_t (*get_volume)(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *);
  int (*get_stride_order)(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, __pyx_t_4cuda_4core_7_layout_axis_vec_t &);
  PyObject *(*get_stride_order_tuple)(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *);
  int (*get_is_unique)(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *);
  int (*get_is_contiguous_c)(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *);
  int (*get_is_contiguous_f)(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *);
  int (*get_is_contiguous_any)(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *);
  int (*get_is_dense)(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *);
  int (*get_offset_bounds)(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, __pyx_t_4cuda_4core_7_layout_stride_t &, __pyx_t_4cuda_4core_7_layout_stride_t &);
  int64_t (*get_required_size_in_bytes)(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *);
  int64_t (*get_slice_offset_in_bytes)(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *);
  __pyx_t_4cuda_4core_7_layout_axes_mask_t (*get_flattened_axis_mask)(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *);
  int (*get_max_compatible_itemsize)(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, int, intptr_t, struct __pyx_opt_args_4cuda_4core_7_layout_14_StridedLayout_get_max_compatible_itemsize *__pyx_optional_args);
  int (*reshape_into)(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, struct __pyx_t_4cuda_4core_7_layout_BaseLayout &);
  int (*permute_into)(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, __pyx_t_4cuda_4core_7_layout_axis_vec_t &);
  int (*flatten_into)(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, __pyx_t_4cuda_4core_7_layout_axes_mask_t);
  int (*squeeze_into)(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *);
  int (*unsqueeze_into)(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, __pyx_t_4cuda_4core_7_layout_axis_vec_t &);
  int (*broadcast_into)(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, struct __pyx_t_4cuda_4core_7_layout_BaseLayout &);
  int (*pack_into)(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, int, intptr_t, int, struct __pyx_opt_args_4cuda_4core_7_layout_14_StridedLayout_pack_into *__pyx_optional_args);
  int (*unpack_into)(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, int, struct __pyx_opt_args_4cuda_4core_7_layout_14_StridedLayout_unpack_into *__pyx_optional_args);
  int (*slice_into)(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, PyObject *);
};
static struct __pyx_vtabstruct_4cuda_4core_7_layout__StridedLayout *__pyx_vtabptr_4cuda_4core_7_layout__StridedLayout;
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout_14_StridedLayout__init(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, struct __pyx_t_4cuda_4core_7_layout_BaseLayout &, int, struct __pyx_opt_args_4cuda_4core_7_layout_14_StridedLayout__init *__pyx_optional_args);
static CYTHON_INLINE __pyx_t_4cuda_4core_7_layout_stride_t __pyx_f_4cuda_4core_7_layout_14_StridedLayout__init_dense(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, struct __pyx_t_4cuda_4core_7_layout_BaseLayout &, int, enum __pyx_t_4cuda_4core_7_layout_OrderFlag, struct __pyx_opt_args_4cuda_4core_7_layout_14_StridedLayout__init_dense *__pyx_optional_args);
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_init_from_ptr(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, int, __pyx_t_4cuda_4core_7_layout_extent_t *, __pyx_t_4cuda_4core_7_layout_stride_t *, int, struct __pyx_opt_args_4cuda_4core_7_layout_14_StridedLayout_init_from_ptr *__pyx_optional_args);
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_init_dense_from_ptr(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, int, __pyx_t_4cuda_4core_7_layout_extent_t *, int, enum __pyx_t_4cuda_4core_7_layout_OrderFlag, struct __pyx_opt_args_4cuda_4core_7_layout_14_StridedLayout_init_dense_from_ptr *__pyx_optional_args);
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_init_from_tuple(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, PyObject *, PyObject *, int, struct __pyx_opt_args_4cuda_4core_7_layout_14_StridedLayout_init_from_tuple *__pyx_optional_args);
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_init_dense_from_tuple(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, PyObject *, int, PyObject *);
static CYTHON_INLINE PyObject *__pyx_f_4cuda_4core_7_layout_14_StridedLayout_get_shape_tuple(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *);
static CYTHON_INLINE PyObject *__pyx_f_4cuda_4core_7_layout_14_StridedLayout_get_strides_tuple(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *);
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_get_strides_in_bytes(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, __pyx_t_4cuda_4core_7_layout_extents_strides_t &);
static CYTHON_INLINE PyObject *__pyx_f_4cuda_4core_7_layout_14_StridedLayout_get_strides_in_bytes_tuple(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *);
static CYTHON_INLINE int64_t __pyx_f_4cuda_4core_7_layout_14_StridedLayout_get_volume(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *);
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_get_stride_order(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, __pyx_t_4cuda_4core_7_layout_axis_vec_t &);
static CYTHON_INLINE PyObject *__pyx_f_4cuda_4core_7_layout_14_StridedLayout_get_stride_order_tuple(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *);
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_get_is_unique(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *);
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_get_is_contiguous_c(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *);
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_get_is_contiguous_f(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *);
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_get_is_contiguous_any(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *);
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_get_is_dense(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *);
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static int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_reshape_into(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, struct __pyx_t_4cuda_4core_7_layout_BaseLayout &);
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static int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_flatten_into(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, __pyx_t_4cuda_4core_7_layout_axes_mask_t);
static int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_squeeze_into(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *);
static int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_unsqueeze_into(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, __pyx_t_4cuda_4core_7_layout_axis_vec_t &);
static int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_broadcast_into(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, struct __pyx_t_4cuda_4core_7_layout_BaseLayout &);
static int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_pack_into(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, int, intptr_t, int, struct __pyx_opt_args_4cuda_4core_7_layout_14_StridedLayout_pack_into *__pyx_optional_args);
static int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_unpack_into(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, int, struct __pyx_opt_args_4cuda_4core_7_layout_14_StridedLayout_unpack_into *__pyx_optional_args);
static int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_slice_into(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, PyObject *);
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#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);

/* PyObjectGetAttrStr.proto (used by UnpackUnboundCMethod) */
#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

/* 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);

/* pyint_simplify.proto */
static CYTHON_INLINE int __Pyx_PyInt_FromNumber(PyObject **number_var, const char *argname, int accept_none);

/* ArgTypeTestFunc.export */
static int __Pyx__ArgTypeTest(PyObject *obj, PyTypeObject *type, const char *name, int exact);

/* ArgTypeTest.proto */
#define __Pyx_ArgTypeTest(obj, type, none_allowed, name, exact)\
    ((likely(__Pyx_IS_TYPE(obj, type) | (none_allowed && (obj == Py_None)))) ? 1 :\
        __Pyx__ArgTypeTest(obj, type, name, exact))

/* 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

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

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

/* RaiseUnexpectedTypeError.proto */
static int __Pyx_RaiseUnexpectedTypeError(const char *expected, PyObject *obj);

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

/* AssertionsEnabled.proto */
#if CYTHON_COMPILING_IN_LIMITED_API  ||  PY_VERSION_HEX >= 0x030C0000
  static int __pyx_assertions_enabled_flag;
  #define __pyx_assertions_enabled() (__pyx_assertions_enabled_flag)
  #if __clang__ || __GNUC__
  __attribute__((no_sanitize("thread")))
  #endif
  static int __Pyx_init_assertions_enabled(void) {
    PyObject *builtins, *debug, *debug_str;
    int flag;
    builtins = PyEval_GetBuiltins();
    if (!builtins) goto bad;
    debug_str = PyUnicode_FromStringAndSize("__debug__", 9);
    if (!debug_str) goto bad;
    debug = PyObject_GetItem(builtins, debug_str);
    Py_DECREF(debug_str);
    if (!debug) goto bad;
    flag = PyObject_IsTrue(debug);
    Py_DECREF(debug);
    if (flag == -1) goto bad;
    __pyx_assertions_enabled_flag = flag;
    return 0;
  bad:
    __pyx_assertions_enabled_flag = 1;
    return -1;
  }
#else
  #define __Pyx_init_assertions_enabled()  (0)
  #define __pyx_assertions_enabled()  (!Py_OptimizeFlag)
#endif

/* ModInt[int64_t].proto */
static CYTHON_INLINE int64_t __Pyx_mod_int64_t(int64_t, int64_t, int b_is_constant);

/* ModInt[intptr_t].proto */
static CYTHON_INLINE intptr_t __Pyx_mod_intptr_t(intptr_t, intptr_t, int b_is_constant);

/* CIntToPyUnicode.proto */
#define __Pyx_PyUnicode_From_intptr_t(value, width, padding_char, format_char) (\
    ((format_char) == ('c')) ?\
        __Pyx_uchar___Pyx_PyUnicode_From_intptr_t(value, width, padding_char) :\
        __Pyx____Pyx_PyUnicode_From_intptr_t(value, width, padding_char, format_char)\
    )
static CYTHON_INLINE PyObject* __Pyx_uchar___Pyx_PyUnicode_From_intptr_t(intptr_t value, Py_ssize_t width, char padding_char);
static CYTHON_INLINE PyObject* __Pyx____Pyx_PyUnicode_From_intptr_t(intptr_t value, Py_ssize_t width, char padding_char, char format_char);

/* DivInt[int].proto */
static CYTHON_INLINE int __Pyx_div_int(int, int, int b_is_constant);

/* DivInt[__pyx_t_4cuda_4core_7_layout_extent_t].proto */
static CYTHON_INLINE __pyx_t_4cuda_4core_7_layout_extent_t __Pyx_div___pyx_t_4cuda_4core_7_layout_extent_t(__pyx_t_4cuda_4core_7_layout_extent_t, __pyx_t_4cuda_4core_7_layout_extent_t, int b_is_constant);

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

/* DefaultPlacementNew.proto */
#include <new>
template<typename T>
void __Pyx_default_placement_construct(T* x) {
    new (static_cast<void*>(x)) T();
}

/* 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);

/* 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 PyType_Ready) */
static PyObject* __Pyx_PyObject_CallMethod0(PyObject* obj, PyObject* method_name);

/* 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);

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

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

/* MergeVTables.proto */
static int __Pyx_MergeVtables(PyTypeObject *type);

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

/* PyErrExceptionMatches.proto (used by PyObjectGetAttrStrNoError) */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_PyErr_ExceptionMatches(err) __Pyx_PyErr_ExceptionMatchesInState(__pyx_tstate, err)
static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err);
#else
#define __Pyx_PyErr_ExceptionMatches(err)  PyErr_ExceptionMatches(err)
#endif

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

/* 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

/* VoidPtrImport.proto */
static int __Pyx_ImportVoidPtr_3_2_4(PyObject *module, const char *name, void **p, const char *sig);

/* 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);

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

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

/* 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 (used by GetNameInClass) */
#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

/* GetNameInClass.proto */
#define __Pyx_GetNameInClass(var, nmspace, name)  (var) = __Pyx__GetNameInClass(nmspace, name)
static PyObject *__Pyx__GetNameInClass(PyObject *nmspace, PyObject *name);

/* 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);

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

/* Common.proto */
static int __Pyx_check_twos_complement(void) {
    if ((-1) != (~0)) {
        PyErr_SetString(PyExc_RuntimeError, "Two's complement required for overflow checks.");
        return 1;
    } else if ((sizeof(short) == sizeof(int))) {
        PyErr_SetString(PyExc_RuntimeError, "sizeof(short) < sizeof(int) required for overflow checks.");
        return 1;
    } else {
        return 0;
    }
}
#define __PYX_SIGN_BIT(type)    ((((unsigned type) 1) << (sizeof(type) * 8 - 1)))
#define __PYX_HALF_MAX(type)    ((((type) 1) << (sizeof(type) * 8 - 2)))
#define __PYX_MIN(type)         ((__PYX_IS_UNSIGNED(type) ? (type) 0 : 0 - __PYX_HALF_MAX(type) - __PYX_HALF_MAX(type)))
#define __PYX_MAX(type)         ((~__PYX_MIN(type)))
#define __Pyx_add_no_overflow(a, b, overflow) ((a) + (b))
#define __Pyx_add_const_no_overflow(a, b, overflow) ((a) + (b))
#define __Pyx_sub_no_overflow(a, b, overflow) ((a) - (b))
#define __Pyx_sub_const_no_overflow(a, b, overflow) ((a) - (b))
#define __Pyx_mul_no_overflow(a, b, overflow) ((a) * (b))
#define __Pyx_mul_const_no_overflow(a, b, overflow) ((a) * (b))
#define __Pyx_div_no_overflow(a, b, overflow) ((a) / (b))
#define __Pyx_div_const_no_overflow(a, b, overflow) ((a) / (b))
#if defined(__has_builtin)
#  if __has_builtin(__builtin_add_overflow) && !defined(__ibmxl__)
#    define __PYX_HAVE_BUILTIN_OVERFLOW
#  endif
#elif defined(__GNUC__) && (__GNUC__ >= 5) && (!defined(__INTEL_COMPILER) || (__INTEL_COMPILER >= 1800))
#  define __PYX_HAVE_BUILTIN_OVERFLOW
#endif
#if defined(__GNUC__)
#  define __Pyx_is_constant(x) (__builtin_constant_p(x))
#elif defined(__has_builtin)
#  if __has_builtin(__builtin_constant_p)
#    define __Pyx_is_constant(x) (__builtin_constant_p(x))
#  endif
#else
#  define __Pyx_is_constant(x) (0)
#endif

/* BaseCaseSigned.proto */
static CYTHON_INLINE int __Pyx_add_int_checking_overflow(int a, int b, int *overflow);
static CYTHON_INLINE int __Pyx_sub_int_checking_overflow(int a, int b, int *overflow);
static CYTHON_INLINE int __Pyx_mul_int_checking_overflow(int a, int b, int *overflow);
static CYTHON_INLINE int __Pyx_div_int_checking_overflow(int a, int b, int *overflow);
#define __Pyx_add_const_int_checking_overflow __Pyx_add_int_checking_overflow
#define __Pyx_sub_const_int_checking_overflow __Pyx_sub_int_checking_overflow
#if defined(__PYX_HAVE_BUILTIN_OVERFLOW)
#define __Pyx_mul_const_int_checking_overflow __Pyx_mul_int_checking_overflow
#else
static CYTHON_INLINE int __Pyx_mul_const_int_checking_overflow(int a, int constant, int *overflow);
#endif
#define __Pyx_div_const_int_checking_overflow __Pyx_div_int_checking_overflow

/* BaseCaseSigned.proto */
static CYTHON_INLINE long __Pyx_add_long_checking_overflow(long a, long b, int *overflow);
static CYTHON_INLINE long __Pyx_sub_long_checking_overflow(long a, long b, int *overflow);
static CYTHON_INLINE long __Pyx_mul_long_checking_overflow(long a, long b, int *overflow);
static CYTHON_INLINE long __Pyx_div_long_checking_overflow(long a, long b, int *overflow);
#define __Pyx_add_const_long_checking_overflow __Pyx_add_long_checking_overflow
#define __Pyx_sub_const_long_checking_overflow __Pyx_sub_long_checking_overflow
#if defined(__PYX_HAVE_BUILTIN_OVERFLOW)
#define __Pyx_mul_const_long_checking_overflow __Pyx_mul_long_checking_overflow
#else
static CYTHON_INLINE long __Pyx_mul_const_long_checking_overflow(long a, long constant, int *overflow);
#endif
#define __Pyx_div_const_long_checking_overflow __Pyx_div_long_checking_overflow

/* BaseCaseSigned.proto */
static CYTHON_INLINE long long __Pyx_add_long_long_checking_overflow(long long a, long long b, int *overflow);
static CYTHON_INLINE long long __Pyx_sub_long_long_checking_overflow(long long a, long long b, int *overflow);
static CYTHON_INLINE long long __Pyx_mul_long_long_checking_overflow(long long a, long long b, int *overflow);
static CYTHON_INLINE long long __Pyx_div_long_long_checking_overflow(long long a, long long b, int *overflow);
#define __Pyx_add_const_long_long_checking_overflow __Pyx_add_long_long_checking_overflow
#define __Pyx_sub_const_long_long_checking_overflow __Pyx_sub_long_long_checking_overflow
#if defined(__PYX_HAVE_BUILTIN_OVERFLOW)
#define __Pyx_mul_const_long_long_checking_overflow __Pyx_mul_long_long_checking_overflow
#else
static CYTHON_INLINE long long __Pyx_mul_const_long_long_checking_overflow(long long a, long long constant, int *overflow);
#endif
#define __Pyx_div_const_long_long_checking_overflow __Pyx_div_long_long_checking_overflow

/* BaseCaseUnsigned.proto */
static CYTHON_INLINE unsigned int __Pyx_add_unsigned_int_checking_overflow(unsigned int a, unsigned int b, int *overflow);
static CYTHON_INLINE unsigned int __Pyx_sub_unsigned_int_checking_overflow(unsigned int a, unsigned int b, int *overflow);
static CYTHON_INLINE unsigned int __Pyx_mul_unsigned_int_checking_overflow(unsigned int a, unsigned int b, int *overflow);
static CYTHON_INLINE unsigned int __Pyx_div_unsigned_int_checking_overflow(unsigned int a, unsigned int b, int *overflow);
#define __Pyx_add_const_unsigned_int_checking_overflow __Pyx_add_unsigned_int_checking_overflow
#define __Pyx_sub_const_unsigned_int_checking_overflow __Pyx_sub_unsigned_int_checking_overflow
#if defined(__PYX_HAVE_BUILTIN_OVERFLOW)
#define __Pyx_mul_const_unsigned_int_checking_overflow __Pyx_mul_unsigned_int_checking_overflow
#else
static CYTHON_INLINE unsigned int __Pyx_mul_const_unsigned_int_checking_overflow(unsigned int a, unsigned int constant, int *overflow);
#endif
#define __Pyx_div_const_unsigned_int_checking_overflow __Pyx_div_unsigned_int_checking_overflow

/* BaseCaseUnsigned.proto */
static CYTHON_INLINE unsigned long __Pyx_add_unsigned_long_checking_overflow(unsigned long a, unsigned long b, int *overflow);
static CYTHON_INLINE unsigned long __Pyx_sub_unsigned_long_checking_overflow(unsigned long a, unsigned long b, int *overflow);
static CYTHON_INLINE unsigned long __Pyx_mul_unsigned_long_checking_overflow(unsigned long a, unsigned long b, int *overflow);
static CYTHON_INLINE unsigned long __Pyx_div_unsigned_long_checking_overflow(unsigned long a, unsigned long b, int *overflow);
#define __Pyx_add_const_unsigned_long_checking_overflow __Pyx_add_unsigned_long_checking_overflow
#define __Pyx_sub_const_unsigned_long_checking_overflow __Pyx_sub_unsigned_long_checking_overflow
#if defined(__PYX_HAVE_BUILTIN_OVERFLOW)
#define __Pyx_mul_const_unsigned_long_checking_overflow __Pyx_mul_unsigned_long_checking_overflow
#else
static CYTHON_INLINE unsigned long __Pyx_mul_const_unsigned_long_checking_overflow(unsigned long a, unsigned long constant, int *overflow);
#endif
#define __Pyx_div_const_unsigned_long_checking_overflow __Pyx_div_unsigned_long_checking_overflow

/* BaseCaseUnsigned.proto */
static CYTHON_INLINE unsigned long long __Pyx_add_unsigned_long_long_checking_overflow(unsigned long long a, unsigned long long b, int *overflow);
static CYTHON_INLINE unsigned long long __Pyx_sub_unsigned_long_long_checking_overflow(unsigned long long a, unsigned long long b, int *overflow);
static CYTHON_INLINE unsigned long long __Pyx_mul_unsigned_long_long_checking_overflow(unsigned long long a, unsigned long long b, int *overflow);
static CYTHON_INLINE unsigned long long __Pyx_div_unsigned_long_long_checking_overflow(unsigned long long a, unsigned long long b, int *overflow);
#define __Pyx_add_const_unsigned_long_long_checking_overflow __Pyx_add_unsigned_long_long_checking_overflow
#define __Pyx_sub_const_unsigned_long_long_checking_overflow __Pyx_sub_unsigned_long_long_checking_overflow
#if defined(__PYX_HAVE_BUILTIN_OVERFLOW)
#define __Pyx_mul_const_unsigned_long_long_checking_overflow __Pyx_mul_unsigned_long_long_checking_overflow
#else
static CYTHON_INLINE unsigned long long __Pyx_mul_const_unsigned_long_long_checking_overflow(unsigned long long a, unsigned long long constant, int *overflow);
#endif
#define __Pyx_div_const_unsigned_long_long_checking_overflow __Pyx_div_unsigned_long_long_checking_overflow

/* SizeCheck.proto */
static int __Pyx_check_sane_int64_t(void) {
    if (((sizeof(int64_t) <= sizeof(int)) ||
            (sizeof(int64_t) == sizeof(PY_LONG_LONG)) ||
            (sizeof(int64_t) == sizeof(long)))) {
        return 0;
    } else {
        PyErr_Format(PyExc_RuntimeError,\
            "Bad size for int type %.60s: %d", "int64_t", (int) sizeof(int64_t));
        return 1;
    }
}

/* Binop.proto */
static CYTHON_INLINE int64_t __Pyx_mul_int64_t_checking_overflow(int64_t a, int64_t b, int *overflow);

/* Binop.proto */
static CYTHON_INLINE int64_t __Pyx_sub_int64_t_checking_overflow(int64_t a, int64_t b, int *overflow);

/* Binop.proto */
static CYTHON_INLINE int64_t __Pyx_add_int64_t_checking_overflow(int64_t a, int64_t b, int *overflow);

/* Binop.proto */
static CYTHON_INLINE int64_t __Pyx_sub_const_int64_t_checking_overflow(int64_t a, int64_t b, int *overflow);

/* SizeCheck.proto */
static int __Pyx_check_sane___pyx_t_4cuda_4core_7_layout_extent_t(void) {
    if (((sizeof(__pyx_t_4cuda_4core_7_layout_extent_t) <= sizeof(int)) ||
            (sizeof(__pyx_t_4cuda_4core_7_layout_extent_t) == sizeof(PY_LONG_LONG)) ||
            (sizeof(__pyx_t_4cuda_4core_7_layout_extent_t) == sizeof(long)))) {
        return 0;
    } else {
        PyErr_Format(PyExc_RuntimeError,\
            "Bad size for int type %.60s: %d", "__pyx_t_4cuda_4core_7_layout_extent_t", (int) sizeof(__pyx_t_4cuda_4core_7_layout_extent_t));
        return 1;
    }
}

/* Binop.proto */
static CYTHON_INLINE __pyx_t_4cuda_4core_7_layout_extent_t __Pyx_mul___pyx_t_4cuda_4core_7_layout_extent_t_checking_overflow(__pyx_t_4cuda_4core_7_layout_extent_t a, __pyx_t_4cuda_4core_7_layout_extent_t b, int *overflow);

/* PyObjectVectorCallKwBuilder.proto (used by CIntToPy) */
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

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

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

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyLong_From_int64_t(int64_t value);

/* CIntFromPy.proto */
static CYTHON_INLINE int64_t __Pyx_PyLong_As_int64_t(PyObject *);

/* CIntFromPy.proto */
static CYTHON_INLINE int32_t __Pyx_PyLong_As_int32_t(PyObject *);

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyLong_From_uint64_t(uint64_t value);

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

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyLong_From_int32_t(int32_t value);

/* 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

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

/* 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);

/* 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 "."

#if !CYTHON_COMPILING_IN_LIMITED_API
static CYTHON_INLINE double __pyx_f_7cpython_7complex_7complex_4real_real(PyComplexObject *__pyx_v_self); /* proto*/
#endif
#if !CYTHON_COMPILING_IN_LIMITED_API
static CYTHON_INLINE double __pyx_f_7cpython_7complex_7complex_4imag_imag(PyComplexObject *__pyx_v_self); /* proto*/
#endif
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout_14_StridedLayout__init(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self, struct __pyx_t_4cuda_4core_7_layout_BaseLayout &__pyx_v_base, int __pyx_v_itemsize, struct __pyx_opt_args_4cuda_4core_7_layout_14_StridedLayout__init *__pyx_optional_args); /* proto*/
static CYTHON_INLINE __pyx_t_4cuda_4core_7_layout_stride_t __pyx_f_4cuda_4core_7_layout_14_StridedLayout__init_dense(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self, struct __pyx_t_4cuda_4core_7_layout_BaseLayout &__pyx_v_base, int __pyx_v_itemsize, enum __pyx_t_4cuda_4core_7_layout_OrderFlag __pyx_v_order_flag, struct __pyx_opt_args_4cuda_4core_7_layout_14_StridedLayout__init_dense *__pyx_optional_args); /* proto*/
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_init_from_ptr(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self, int __pyx_v_ndim, __pyx_t_4cuda_4core_7_layout_extent_t *__pyx_v_shape, __pyx_t_4cuda_4core_7_layout_stride_t *__pyx_v_strides, int __pyx_v_itemsize, struct __pyx_opt_args_4cuda_4core_7_layout_14_StridedLayout_init_from_ptr *__pyx_optional_args); /* proto*/
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_init_dense_from_ptr(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self, int __pyx_v_ndim, __pyx_t_4cuda_4core_7_layout_extent_t *__pyx_v_shape, int __pyx_v_itemsize, enum __pyx_t_4cuda_4core_7_layout_OrderFlag __pyx_v_order_flag, struct __pyx_opt_args_4cuda_4core_7_layout_14_StridedLayout_init_dense_from_ptr *__pyx_optional_args); /* proto*/
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_init_from_tuple(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self, PyObject *__pyx_v_shape, PyObject *__pyx_v_strides, int __pyx_v_itemsize, struct __pyx_opt_args_4cuda_4core_7_layout_14_StridedLayout_init_from_tuple *__pyx_optional_args); /* proto*/
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_init_dense_from_tuple(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self, PyObject *__pyx_v_shape, int __pyx_v_itemsize, PyObject *__pyx_v_stride_order); /* proto*/
static CYTHON_INLINE PyObject *__pyx_f_4cuda_4core_7_layout_14_StridedLayout_get_shape_tuple(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self); /* proto*/
static CYTHON_INLINE PyObject *__pyx_f_4cuda_4core_7_layout_14_StridedLayout_get_strides_tuple(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self); /* proto*/
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_get_strides_in_bytes(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self, __pyx_t_4cuda_4core_7_layout_extents_strides_t &__pyx_v_strides); /* proto*/
static CYTHON_INLINE PyObject *__pyx_f_4cuda_4core_7_layout_14_StridedLayout_get_strides_in_bytes_tuple(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self); /* proto*/
static CYTHON_INLINE int64_t __pyx_f_4cuda_4core_7_layout_14_StridedLayout_get_volume(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self); /* proto*/
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_get_stride_order(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self, __pyx_t_4cuda_4core_7_layout_axis_vec_t &__pyx_v_stride_order); /* proto*/
static CYTHON_INLINE PyObject *__pyx_f_4cuda_4core_7_layout_14_StridedLayout_get_stride_order_tuple(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self); /* proto*/
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_get_is_unique(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self); /* proto*/
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_get_is_contiguous_c(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self); /* proto*/
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_get_is_contiguous_f(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self); /* proto*/
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_get_is_contiguous_any(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self); /* proto*/
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_get_is_dense(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self); /* proto*/
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_get_offset_bounds(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self, __pyx_t_4cuda_4core_7_layout_stride_t &__pyx_v_min_offset, __pyx_t_4cuda_4core_7_layout_stride_t &__pyx_v_max_offset); /* proto*/
static CYTHON_INLINE int64_t __pyx_f_4cuda_4core_7_layout_14_StridedLayout_get_required_size_in_bytes(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self); /* proto*/
static CYTHON_INLINE int64_t __pyx_f_4cuda_4core_7_layout_14_StridedLayout_get_slice_offset_in_bytes(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self); /* proto*/
static __pyx_t_4cuda_4core_7_layout_axes_mask_t __pyx_f_4cuda_4core_7_layout_14_StridedLayout_get_flattened_axis_mask(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self); /* proto*/
static int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_get_max_compatible_itemsize(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self, int __pyx_v_max_itemsize, intptr_t __pyx_v_data_ptr, struct __pyx_opt_args_4cuda_4core_7_layout_14_StridedLayout_get_max_compatible_itemsize *__pyx_optional_args); /* proto*/
static int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_reshape_into(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self, struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_out_layout, struct __pyx_t_4cuda_4core_7_layout_BaseLayout &__pyx_v_new_shape); /* proto*/
static int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_permute_into(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self, struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_out_layout, __pyx_t_4cuda_4core_7_layout_axis_vec_t &__pyx_v_axis_order); /* proto*/
static int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_flatten_into(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self, struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_out_layout, __pyx_t_4cuda_4core_7_layout_axes_mask_t __pyx_v_axis_mask); /* proto*/
static int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_squeeze_into(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self, struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_out_layout); /* proto*/
static int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_unsqueeze_into(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self, struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_out_layout, __pyx_t_4cuda_4core_7_layout_axis_vec_t &__pyx_v_axis_vec); /* proto*/
static int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_broadcast_into(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self, struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_out_layout, struct __pyx_t_4cuda_4core_7_layout_BaseLayout &__pyx_v_broadcast); /* proto*/
static int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_pack_into(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self, struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_out_layout, int __pyx_v_itemsize, intptr_t __pyx_v_data_ptr, int __pyx_v_keep_dim, struct __pyx_opt_args_4cuda_4core_7_layout_14_StridedLayout_pack_into *__pyx_optional_args); /* proto*/
static int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_unpack_into(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self, struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_out_layout, int __pyx_v_itemsize, struct __pyx_opt_args_4cuda_4core_7_layout_14_StridedLayout_unpack_into *__pyx_optional_args); /* proto*/
static int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_slice_into(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self, struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_out_layout, PyObject *__pyx_v_slices); /* proto*/

/* Module declarations from "cython" */

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

/* Module declarations from "libcpp" */

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

/* Module declarations from "cuda.core._utils" */

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

/* Module declarations from "__builtin__" */

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

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

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

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

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

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

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

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

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

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

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

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

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

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

/* Module declarations from "__builtin__" */

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

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

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

/* Module declarations from "__builtin__" */

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

/* Module declarations from "cpython" */

/* Module declarations from "cuda.bindings" */

/* Module declarations from "cuda.bindings.cydriver" */

/* Module declarations from "cuda.bindings.cynvrtc" */

/* Module declarations from "cuda.bindings.cynvvm" */

/* Module declarations from "cuda.bindings.cynvjitlink" */

/* Module declarations from "cuda.core._utils.cuda_utils" */
static CUcontext const *__pyx_vp_4cuda_4core_6_utils_10cuda_utils_CU_CONTEXT_INVALID = 0;
#define __pyx_v_4cuda_4core_6_utils_10cuda_utils_CU_CONTEXT_INVALID (*__pyx_vp_4cuda_4core_6_utils_10cuda_utils_CU_CONTEXT_INVALID)
static CYTHON_INLINE PyObject *__pyx_fuse_0__pyx_f_4cuda_4core_6_utils_10cuda_utils_carray_integer_t_to_tuple(int64_t *, int); /*proto*/
static CYTHON_INLINE PyObject *__pyx_fuse_1__pyx_f_4cuda_4core_6_utils_10cuda_utils_carray_integer_t_to_tuple(int32_t *, int); /*proto*/

/* Module declarations from "cuda.core._layout" */
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout_init_base_layout(struct __pyx_t_4cuda_4core_7_layout_BaseLayout &, int); /*proto*/
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout_trim_base_layout(struct __pyx_t_4cuda_4core_7_layout_BaseLayout &, int); /*proto*/
static CYTHON_INLINE void __pyx_f_4cuda_4core_7_layout__swap_layout(struct __pyx_t_4cuda_4core_7_layout_BaseLayout &, struct __pyx_t_4cuda_4core_7_layout_BaseLayout &); /*proto*/
static CYTHON_INLINE void __pyx_f_4cuda_4core_7_layout__assure_strides_ptr(struct __pyx_t_4cuda_4core_7_layout_BaseLayout &); /*proto*/
static CYTHON_INLINE __pyx_t_4cuda_4core_7_layout_stride_t *__pyx_f_4cuda_4core_7_layout_get_strides_ptr(struct __pyx_t_4cuda_4core_7_layout_BaseLayout &); /*proto*/
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout__base_layout_equal(struct __pyx_t_4cuda_4core_7_layout_BaseLayout &, struct __pyx_t_4cuda_4core_7_layout_BaseLayout &); /*proto*/
static CYTHON_INLINE int64_t __pyx_f_4cuda_4core_7_layout__volume(struct __pyx_t_4cuda_4core_7_layout_BaseLayout &); /*proto*/
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout__divide_strides(struct __pyx_t_4cuda_4core_7_layout_BaseLayout &, int); /*proto*/
static CYTHON_INLINE void __pyx_f_4cuda_4core_7_layout__zero_strides_ptr(int, __pyx_t_4cuda_4core_7_layout_stride_t *); /*proto*/
static CYTHON_INLINE void __pyx_f_4cuda_4core_7_layout__zero_strides(struct __pyx_t_4cuda_4core_7_layout_BaseLayout &); /*proto*/
static CYTHON_INLINE __pyx_t_4cuda_4core_7_layout_stride_t __pyx_f_4cuda_4core_7_layout__dense_strides_c_ptrs(int, __pyx_t_4cuda_4core_7_layout_extent_t *, __pyx_t_4cuda_4core_7_layout_stride_t *); /*proto*/
static CYTHON_INLINE __pyx_t_4cuda_4core_7_layout_stride_t __pyx_f_4cuda_4core_7_layout__dense_strides_c(struct __pyx_t_4cuda_4core_7_layout_BaseLayout &); /*proto*/
static CYTHON_INLINE __pyx_t_4cuda_4core_7_layout_stride_t __pyx_f_4cuda_4core_7_layout__dense_strides_f(struct __pyx_t_4cuda_4core_7_layout_BaseLayout &); /*proto*/
static CYTHON_INLINE __pyx_t_4cuda_4core_7_layout_stride_t __pyx_f_4cuda_4core_7_layout__dense_strides_in_order(struct __pyx_t_4cuda_4core_7_layout_BaseLayout &, __pyx_t_4cuda_4core_7_layout_axis_vec_t &); /*proto*/
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout__is_contiguous_c(int64_t, struct __pyx_t_4cuda_4core_7_layout_BaseLayout &); /*proto*/
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout__is_contiguous_f(int64_t, struct __pyx_t_4cuda_4core_7_layout_BaseLayout &); /*proto*/
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout__is_contiguous_any(int64_t, struct __pyx_t_4cuda_4core_7_layout_BaseLayout &, __pyx_t_4cuda_4core_7_layout_axis_vec_t &); /*proto*/
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout__validate_shape(struct __pyx_t_4cuda_4core_7_layout_BaseLayout &); /*proto*/
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout__init_base_layout_from_tuple(struct __pyx_t_4cuda_4core_7_layout_BaseLayout &, PyObject *, PyObject *); /*proto*/
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout__init_base_layout_from_ptr(struct __pyx_t_4cuda_4core_7_layout_BaseLayout &, int, __pyx_t_4cuda_4core_7_layout_extent_t *, __pyx_t_4cuda_4core_7_layout_stride_t *); /*proto*/
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout__has_valid_property(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, enum __pyx_t_4cuda_4core_7_layout_Property); /*proto*/
static CYTHON_INLINE void __pyx_f_4cuda_4core_7_layout__mark_property_valid(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, enum __pyx_t_4cuda_4core_7_layout_Property); /*proto*/
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout__boolean_property(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, enum __pyx_t_4cuda_4core_7_layout_Property); /*proto*/
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout__set_boolean_property(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, enum __pyx_t_4cuda_4core_7_layout_Property, int); /*proto*/
static CYTHON_INLINE __pyx_t_4cuda_4core_7_layout_axes_mask_t __pyx_f_4cuda_4core_7_layout__axis2mask(__pyx_t_4cuda_4core_7_layout_axis_t); /*proto*/
static CYTHON_INLINE __pyx_t_4cuda_4core_7_layout_axes_mask_t __pyx_f_4cuda_4core_7_layout_flatten_all_axes_mask(int); /*proto*/
static CYTHON_INLINE enum __pyx_t_4cuda_4core_7_layout_OrderFlag __pyx_f_4cuda_4core_7_layout__stride_order2vec(__pyx_t_4cuda_4core_7_layout_axis_vec_t &, PyObject *); /*proto*/
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout__tuple2axis_vec(__pyx_t_4cuda_4core_7_layout_axis_vec_t &, PyObject *); /*proto*/
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout__is_unique(struct __pyx_t_4cuda_4core_7_layout_BaseLayout &, __pyx_t_4cuda_4core_7_layout_axis_vec_t &); /*proto*/
static CYTHON_INLINE int64_t __pyx_f_4cuda_4core_7_layout__overflow_checked_mul(int64_t, int64_t); /*proto*/
static CYTHON_INLINE int64_t __pyx_f_4cuda_4core_7_layout__overflow_checked_sum(int64_t, int64_t); /*proto*/
static CYTHON_INLINE int __pyx_fuse_0__pyx_f_4cuda_4core_7_layout__normalize_axis(int64_t &, int64_t); /*proto*/
static CYTHON_INLINE int __pyx_fuse_1__pyx_f_4cuda_4core_7_layout__normalize_axis(int32_t &, int32_t); /*proto*/
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout_maybe_copy_volume(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *, struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *); /*proto*/
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout_validate_reshaped_shape(struct __pyx_t_4cuda_4core_7_layout_BaseLayout &, int64_t); /*proto*/
static CYTHON_INLINE __pyx_t_4cuda_4core_7_layout_axes_mask_t __pyx_f_4cuda_4core_7_layout_axis_mask_from_range(int, int, int); /*proto*/
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout_flatten_strides_in_c_index_order(struct __pyx_t_4cuda_4core_7_layout_BaseLayout &, struct __pyx_t_4cuda_4core_7_layout_BaseLayout &, __pyx_t_4cuda_4core_7_layout_axes_mask_t); /*proto*/
static CYTHON_INLINE __pyx_t_4cuda_4core_7_layout_axes_mask_t __pyx_f_4cuda_4core_7_layout_flattened_strides_in_c_index_order_mask(struct __pyx_t_4cuda_4core_7_layout_BaseLayout &); /*proto*/
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout_split_strides_in_c_index_order(struct __pyx_t_4cuda_4core_7_layout_BaseLayout &, struct __pyx_t_4cuda_4core_7_layout_BaseLayout &); /*proto*/
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout_permute_extents(struct __pyx_t_4cuda_4core_7_layout_BaseLayout &, struct __pyx_t_4cuda_4core_7_layout_BaseLayout &, __pyx_t_4cuda_4core_7_layout_axis_vec_t &); /*proto*/
static CYTHON_INLINE __pyx_t_4cuda_4core_7_layout_stride_t __pyx_f_4cuda_4core_7_layout_slice_extents(struct __pyx_t_4cuda_4core_7_layout_BaseLayout &, struct __pyx_t_4cuda_4core_7_layout_BaseLayout &, PyObject *); /*proto*/
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout_squeeze_extents(struct __pyx_t_4cuda_4core_7_layout_BaseLayout &, struct __pyx_t_4cuda_4core_7_layout_BaseLayout &); /*proto*/
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout_unsqueeze_extents(struct __pyx_t_4cuda_4core_7_layout_BaseLayout &, struct __pyx_t_4cuda_4core_7_layout_BaseLayout &, __pyx_t_4cuda_4core_7_layout_axis_vec_t &); /*proto*/
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout_broadcast_extents(struct __pyx_t_4cuda_4core_7_layout_BaseLayout &, struct __pyx_t_4cuda_4core_7_layout_BaseLayout &); /*proto*/
static CYTHON_INLINE int64_t __pyx_f_4cuda_4core_7_layout_gcd(int64_t, int64_t); /*proto*/
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout_pack_extents(struct __pyx_t_4cuda_4core_7_layout_BaseLayout &, __pyx_t_4cuda_4core_7_layout_stride_t &, struct __pyx_t_4cuda_4core_7_layout_BaseLayout &, __pyx_t_4cuda_4core_7_layout_stride_t, int, int, intptr_t, int, int); /*proto*/
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout_unpack_extents(struct __pyx_t_4cuda_4core_7_layout_BaseLayout &, struct __pyx_t_4cuda_4core_7_layout_BaseLayout &, int, int, int); /*proto*/
static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout_max_compatible_itemsize(struct __pyx_t_4cuda_4core_7_layout_BaseLayout &, __pyx_t_4cuda_4core_7_layout_stride_t, int, int, intptr_t, int); /*proto*/
/* #### Code section: typeinfo ### */
/* #### Code section: before_global_var ### */
#define __Pyx_MODULE_NAME "cuda.core._layout"
extern int __pyx_module_is_main_cuda__core___layout;
int __pyx_module_is_main_cuda__core___layout = 0;

/* Implementation of "cuda.core._layout" */
/* #### Code section: global_var ### */
/* #### Code section: string_decls ### */
/* #### Code section: decls ### */
static int __pyx_pf_4cuda_4core_7_layout_14_StridedLayout___init__(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self, PyObject *__pyx_v_shape, PyObject *__pyx_v_strides, PyObject *__pyx_v_itemsize, int __pyx_v_divide_strides); /* proto */
static struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_pf_4cuda_4core_7_layout_14_StridedLayout_2dense(PyTypeObject *__pyx_v_cls, PyObject *__pyx_v_shape, PyObject *__pyx_v_itemsize, PyObject *__pyx_v_stride_order); /* proto */
static struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_pf_4cuda_4core_7_layout_14_StridedLayout_4dense_like(PyTypeObject *__pyx_v_cls, struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_other, PyObject *__pyx_v_stride_order); /* proto */
static PyObject *__pyx_pf_4cuda_4core_7_layout_14_StridedLayout_6__repr__(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_4cuda_4core_7_layout_14_StridedLayout_8__eq__(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self, struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_other); /* proto */
static PyObject *__pyx_pf_4cuda_4core_7_layout_14_StridedLayout_4ndim___get__(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_4cuda_4core_7_layout_14_StridedLayout_5shape___get__(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_4cuda_4core_7_layout_14_StridedLayout_7strides___get__(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_4cuda_4core_7_layout_14_StridedLayout_16strides_in_bytes___get__(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_4cuda_4core_7_layout_14_StridedLayout_12stride_order___get__(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_4cuda_4core_7_layout_14_StridedLayout_6volume___get__(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_4cuda_4core_7_layout_14_StridedLayout_9is_unique___get__(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_4cuda_4core_7_layout_14_StridedLayout_15is_contiguous_c___get__(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_4cuda_4core_7_layout_14_StridedLayout_15is_contiguous_f___get__(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_4cuda_4core_7_layout_14_StridedLayout_17is_contiguous_any___get__(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_4cuda_4core_7_layout_14_StridedLayout_8is_dense___get__(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_4cuda_4core_7_layout_14_StridedLayout_13offset_bounds___get__(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_4cuda_4core_7_layout_14_StridedLayout_10min_offset___get__(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_4cuda_4core_7_layout_14_StridedLayout_10max_offset___get__(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_4cuda_4core_7_layout_14_StridedLayout_21slice_offset_in_bytes___get__(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_4cuda_4core_7_layout_14_StridedLayout_10required_size_in_bytes(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_4cuda_4core_7_layout_14_StridedLayout_12flattened_axis_mask(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self); /* proto */
static struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_pf_4cuda_4core_7_layout_14_StridedLayout_14to_dense(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self, PyObject *__pyx_v_stride_order); /* proto */
static struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_pf_4cuda_4core_7_layout_14_StridedLayout_16reshaped(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self, PyObject *__pyx_v_shape); /* proto */
static struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_pf_4cuda_4core_7_layout_14_StridedLayout_18permuted(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self, PyObject *__pyx_v_axis_order); /* proto */
static struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_pf_4cuda_4core_7_layout_14_StridedLayout_20flattened(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self, PyObject *__pyx_v_start_axis, PyObject *__pyx_v_end_axis, PyObject *__pyx_v_mask); /* proto */
static struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_pf_4cuda_4core_7_layout_14_StridedLayout_22squeezed(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self); /* proto */
static struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_pf_4cuda_4core_7_layout_14_StridedLayout_24unsqueezed(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self, PyObject *__pyx_v_axis); /* proto */
static struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_pf_4cuda_4core_7_layout_14_StridedLayout_26broadcast_to(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self, PyObject *__pyx_v_shape); /* proto */
static struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_pf_4cuda_4core_7_layout_14_StridedLayout_28repacked(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self, PyObject *__pyx_v_itemsize, intptr_t __pyx_v_data_ptr, PyObject *__pyx_v_axis, int __pyx_v_keep_dim); /* proto */
static PyObject *__pyx_pf_4cuda_4core_7_layout_14_StridedLayout_30max_compatible_itemsize(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self, PyObject *__pyx_v_max_itemsize, intptr_t __pyx_v_data_ptr, PyObject *__pyx_v_axis); /* proto */
static struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_pf_4cuda_4core_7_layout_14_StridedLayout_32sliced(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self, PyObject *__pyx_v_slices); /* proto */
static PyObject *__pyx_pf_4cuda_4core_7_layout_14_StridedLayout_34__getitem__(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self, PyObject *__pyx_v_slices); /* proto */
static PyObject *__pyx_pf_4cuda_4core_7_layout_14_StridedLayout_8itemsize___get__(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_4cuda_4core_7_layout_14_StridedLayout_12slice_offset___get__(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_4cuda_4core_7_layout_14_StridedLayout_36__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_4cuda_4core_7_layout_14_StridedLayout_38__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_tp_new_4cuda_4core_7_layout__StridedLayout(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
/* #### Code section: late_includes ### */
/* #### Code section: module_state ### */
/* SmallCodeConfig */
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  PyTypeObject *__pyx_ptype_4cuda_4core_7_layout__StridedLayout;
  __Pyx_CachedCFunction __pyx_umethod_PyDict_Type_items;
  __Pyx_CachedCFunction __pyx_umethod_PyDict_Type_pop;
  __Pyx_CachedCFunction __pyx_umethod_PyDict_Type_values;
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/* #### Code section: module_state_contents ### */
/* 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;

/* #### Code section: module_state_end ### */
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#if CYTHON_USE_MODULE_STATE
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#define __pyx_mstate_global (__Pyx_PyModule_GetState(__Pyx_State_FindModule(&__pyx_moduledef)))

#define __pyx_m (__Pyx_State_FindModule(&__pyx_moduledef))
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static __pyx_mstatetype __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_Allocation_size_for_a_layout_tha __pyx_string_tab[1]
#define __pyx_kp_u_Axis __pyx_string_tab[2]
#define __pyx_kp_u_Cannot_trim_layout_to __pyx_string_tab[3]
#define __pyx_kp_u_D_tensor __pyx_string_tab[4]
#define __pyx_kp_u_D_tensor_2 __pyx_string_tab[5]
#define __pyx_kp_u_Expected_slice_instance_or_inte __pyx_string_tab[6]
#define __pyx_kp_u_Extents_must_be_non_negative __pyx_string_tab[7]
#define __pyx_kp_u_Invalid_axis __pyx_string_tab[8]
#define __pyx_kp_u_Invalid_end_axis __pyx_string_tab[9]
#define __pyx_kp_u_Invalid_index __pyx_string_tab[10]
#define __pyx_kp_u_Invalid_permutation_axis __pyx_string_tab[11]
#define __pyx_kp_u_Invalid_slice __pyx_string_tab[12]
#define __pyx_kp_u_Invalid_start_axis __pyx_string_tab[13]
#define __pyx_kp_u_Invalid_stride_order_axis __pyx_string_tab[14]
#define __pyx_kp_u_Layout_strides_are_incompatible __pyx_string_tab[15]
#define __pyx_kp_u_Max_supported_ndim_is __pyx_string_tab[16]
#define __pyx_kp_u_Note_that_Cython_is_deliberately __pyx_string_tab[17]
#define __pyx_kp_u_Permutation_must_have_the_same_l __pyx_string_tab[18]
#define __pyx_kp_u_Shapes_cannot_be_broadcast_toget __pyx_string_tab[19]
#define __pyx_kp_u_StridedLayout_shape __pyx_string_tab[20]
#define __pyx_kp_u_Strides_if_provided_must_have_th __pyx_string_tab[21]
#define __pyx_kp_u_The __pyx_string_tab[22]
#define __pyx_kp_u_The_1_extent_is_ambiguous_when_t __pyx_string_tab[23]
#define __pyx_kp_u_The_axis __pyx_string_tab[24]
#define __pyx_kp_u_The_broadcast_shape_ndim __pyx_string_tab[25]
#define __pyx_kp_u_The_data_pointer __pyx_string_tab[26]
#define __pyx_kp_u_The_number_of_slices __pyx_string_tab[27]
#define __pyx_kp_u_The_original_volume __pyx_string_tab[28]
#define __pyx_kp_u_The_slice_offset __pyx_string_tab[29]
#define __pyx_kp_u_The_stride_order_must_be_C_F_or __pyx_string_tab[30]
#define __pyx_kp_u_The_stride_order_must_be_C_F_or_2 __pyx_string_tab[31]
#define __pyx_kp_u_The_stride_order_must_be_K_C_F_o __pyx_string_tab[32]
#define __pyx_kp_u_The_stride_order_must_be_a_permu __pyx_string_tab[33]
#define __pyx_kp_u_There_can_be_at_most_one_1_exten __pyx_string_tab[34]
#define __pyx_kp_u_Unsupported_number_of_dimensions __pyx_string_tab[35]
#define __pyx_kp_u__2 __pyx_string_tab[36]
#define __pyx_kp_u__3 __pyx_string_tab[37]
#define __pyx_kp_u__4 __pyx_string_tab[38]
#define __pyx_kp_u_add_note __pyx_string_tab[39]
#define __pyx_kp_u_and __pyx_string_tab[40]
#define __pyx_kp_u_and_the_new_volume __pyx_string_tab[41]
#define __pyx_kp_u_appears_multiple_times __pyx_string_tab[42]
#define __pyx_kp_u_axis_stride __pyx_string_tab[43]
#define __pyx_kp_u_cannot_be_less_than_itemsize __pyx_string_tab[44]
#define __pyx_kp_u_cannot_divide_strides_layout_has __pyx_string_tab[45]
#define __pyx_kp_u_cuda_core__layout_pyx __pyx_string_tab[46]
#define __pyx_kp_u_dimensions __pyx_string_tab[47]
#define __pyx_kp_u_dimensions_but_stride_order_has __pyx_string_tab[48]
#define __pyx_kp_u_dimensions_but_strides_has __pyx_string_tab[49]
#define __pyx_kp_u_dimensions_it_has __pyx_string_tab[50]
#define __pyx_kp_u_disable __pyx_string_tab[51]
#define __pyx_kp_u_elements __pyx_string_tab[52]
#define __pyx_kp_u_enable __pyx_string_tab[53]
#define __pyx_kp_u_extent __pyx_string_tab[54]
#define __pyx_kp_u_extent_must_be_non_zero_got __pyx_string_tab[55]
#define __pyx_kp_u_for __pyx_string_tab[56]
#define __pyx_kp_u_for_axis __pyx_string_tab[57]
#define __pyx_kp_u_gc __pyx_string_tab[58]
#define __pyx_kp_u_int_None __pyx_string_tab[59]
#define __pyx_kp_u_int_slice_tuple_int_slice __pyx_string_tab[60]
#define __pyx_kp_u_int_tuple_int __pyx_string_tab[61]
#define __pyx_kp_u_is_greater_than_the_number_of_d __pyx_string_tab[62]
#define __pyx_kp_u_isenabled __pyx_string_tab[63]
#define __pyx_kp_u_itemsize_2 __pyx_string_tab[64]
#define __pyx_kp_u_itemsize_must_be_greater_than_ze __pyx_string_tab[65]
#define __pyx_kp_u_itemsize_must_be_positive __pyx_string_tab[66]
#define __pyx_kp_u_max_itemsize_2 __pyx_string_tab[67]
#define __pyx_kp_u_max_itemsize_must_be_greater_tha __pyx_string_tab[68]
#define __pyx_kp_u_must_be_aligned_to_the_packed_i __pyx_string_tab[69]
#define __pyx_kp_u_must_be_divisible_by __pyx_string_tab[70]
#define __pyx_kp_u_must_be_divisible_by_the_specif __pyx_string_tab[71]
#define __pyx_kp_u_must_be_equal __pyx_string_tab[72]
#define __pyx_kp_u_must_be_greater_than_or_equal_t __pyx_string_tab[73]
#define __pyx_kp_u_must_be_greater_than_or_equal_t_2 __pyx_string_tab[74]
#define __pyx_kp_u_must_be_less_than_or_equal_to_i __pyx_string_tab[75]
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#define __pyx_kp_u_new_itemsize_must_be_greater_tha __pyx_string_tab[77]
#define __pyx_kp_u_out_of_range_for __pyx_string_tab[78]
#define __pyx_kp_u_out_of_range_for_axis __pyx_string_tab[79]
#define __pyx_kp_u_self_base_cannot_be_converted_to __pyx_string_tab[80]
#define __pyx_kp_u_slice_offset __pyx_string_tab[81]
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#define __pyx_kp_u_stride_must_be_1_got __pyx_string_tab[83]
#define __pyx_kp_u_stride_order_is_required_for_ORD __pyx_string_tab[84]
#define __pyx_kp_u_stride_order_must_have_the_same __pyx_string_tab[85]
#define __pyx_kp_u_strides_2 __pyx_string_tab[86]
#define __pyx_kp_u_strides_must_be_divisible_by_ite __pyx_string_tab[87]
#define __pyx_kp_u_tree_fragment __pyx_string_tab[88]
#define __pyx_kp_u_tuple_int __pyx_string_tab[89]
#define __pyx_kp_u_with_extent __pyx_string_tab[90]
#define __pyx_n_u_C __pyx_string_tab[91]
#define __pyx_n_u_F __pyx_string_tab[92]
#define __pyx_n_u_K __pyx_string_tab[93]
#define __pyx_n_u_Pyx_PyDict_NextRef __pyx_string_tab[94]
#define __pyx_n_u_StridedLayout __pyx_string_tab[95]
#define __pyx_n_u_StridedLayout___reduce_cython __pyx_string_tab[96]
#define __pyx_n_u_StridedLayout___setstate_cython __pyx_string_tab[97]
#define __pyx_n_u_StridedLayout_broadcast_to __pyx_string_tab[98]
#define __pyx_n_u_StridedLayout_dense __pyx_string_tab[99]
#define __pyx_n_u_StridedLayout_dense_like __pyx_string_tab[100]
#define __pyx_n_u_StridedLayout_flattened __pyx_string_tab[101]
#define __pyx_n_u_StridedLayout_flattened_axis_ma __pyx_string_tab[102]
#define __pyx_n_u_StridedLayout_max_compatible_it __pyx_string_tab[103]
#define __pyx_n_u_StridedLayout_permuted __pyx_string_tab[104]
#define __pyx_n_u_StridedLayout_repacked __pyx_string_tab[105]
#define __pyx_n_u_StridedLayout_required_size_in __pyx_string_tab[106]
#define __pyx_n_u_StridedLayout_reshaped __pyx_string_tab[107]
#define __pyx_n_u_StridedLayout_sliced __pyx_string_tab[108]
#define __pyx_n_u_StridedLayout_squeezed __pyx_string_tab[109]
#define __pyx_n_u_StridedLayout_to_dense __pyx_string_tab[110]
#define __pyx_n_u_StridedLayout_unsqueezed __pyx_string_tab[111]
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#define __pyx_n_u_axis_mask __pyx_string_tab[115]
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#define __pyx_n_u_dense __pyx_string_tab[125]
#define __pyx_n_u_dense_like __pyx_string_tab[126]
#define __pyx_n_u_dict __pyx_string_tab[127]
#define __pyx_n_u_divide_strides __pyx_string_tab[128]
#define __pyx_n_u_end_axis __pyx_string_tab[129]
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#define __pyx_n_u_flattened_axis_mask __pyx_string_tab[131]
#define __pyx_n_u_func __pyx_string_tab[132]
#define __pyx_n_u_getstate __pyx_string_tab[133]
#define __pyx_n_u_i __pyx_string_tab[134]
#define __pyx_n_u_int __pyx_string_tab[135]
#define __pyx_n_u_intptr_t __pyx_string_tab[136]
#define __pyx_n_u_is_coroutine __pyx_string_tab[137]
#define __pyx_n_u_is_dense __pyx_string_tab[138]
#define __pyx_n_u_items __pyx_string_tab[139]
#define __pyx_n_u_itemsize __pyx_string_tab[140]
#define __pyx_n_u_keep_dim __pyx_string_tab[141]
#define __pyx_n_u_main __pyx_string_tab[142]
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/* "cuda/core/_layout.pxd":241
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  __pyx_t_2 = __pyx_f_4cuda_4core_7_layout_14_StridedLayout_get_volume(__pyx_v_self); if (unlikely(__pyx_t_2 == ((int64_t)-1L))) __PYX_ERR(3, 244, __pyx_L1_error)
  __pyx_t_1 = __pyx_f_4cuda_4core_7_layout__is_contiguous_c(__pyx_t_2, __pyx_v_self->base); if (unlikely(__pyx_t_1 == ((int)-1))) __PYX_ERR(3, 244, __pyx_L1_error)
  __pyx_r = __pyx_f_4cuda_4core_7_layout__set_boolean_property(__pyx_v_self, __pyx_e_4cuda_4core_7_layout_PROP_IS_CONTIGUOUS_C, __pyx_t_1);
  goto __pyx_L0;

  /* "cuda/core/_layout.pxd":241
 *         return _set_boolean_property(self, PROP_IS_UNIQUE, _is_unique(self.base, stride_order))
 * 
 *     cdef inline bint get_is_contiguous_c(_StridedLayout self) except -1 nogil:             # <<<<<<<<<<<<<<
 *         if _has_valid_property(self, PROP_IS_CONTIGUOUS_C):
 *             return _boolean_property(self, PROP_IS_CONTIGUOUS_C)
*/

  /* function exit code */
  __pyx_L1_error:;
  __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
  __Pyx_AddTraceback("cuda.core._layout._StridedLayout.get_is_contiguous_c", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = -1;
  __Pyx_PyGILState_Release(__pyx_gilstate_save);
  __pyx_L0:;
  return __pyx_r;
}

/* "cuda/core/_layout.pxd":246
 *         return _set_boolean_property(self, PROP_IS_CONTIGUOUS_C, _is_contiguous_c(self.get_volume(), self.base))
 * 
 *     cdef inline bint get_is_contiguous_f(_StridedLayout self) except -1 nogil:             # <<<<<<<<<<<<<<
 *         if _has_valid_property(self, PROP_IS_CONTIGUOUS_F):
 *             return _boolean_property(self, PROP_IS_CONTIGUOUS_F)
*/

static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_get_is_contiguous_f(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self) {
  int __pyx_r;
  int __pyx_t_1;
  int64_t __pyx_t_2;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyGILState_STATE __pyx_gilstate_save;

  /* "cuda/core/_layout.pxd":247
 * 
 *     cdef inline bint get_is_contiguous_f(_StridedLayout self) except -1 nogil:
 *         if _has_valid_property(self, PROP_IS_CONTIGUOUS_F):             # <<<<<<<<<<<<<<
 *             return _boolean_property(self, PROP_IS_CONTIGUOUS_F)
 *         return _set_boolean_property(self, PROP_IS_CONTIGUOUS_F, _is_contiguous_f(self.get_volume(), self.base))
*/
  __pyx_t_1 = __pyx_f_4cuda_4core_7_layout__has_valid_property(__pyx_v_self, __pyx_e_4cuda_4core_7_layout_PROP_IS_CONTIGUOUS_F);
  if (__pyx_t_1) {

    /* "cuda/core/_layout.pxd":248
 *     cdef inline bint get_is_contiguous_f(_StridedLayout self) except -1 nogil:
 *         if _has_valid_property(self, PROP_IS_CONTIGUOUS_F):
 *             return _boolean_property(self, PROP_IS_CONTIGUOUS_F)             # <<<<<<<<<<<<<<
 *         return _set_boolean_property(self, PROP_IS_CONTIGUOUS_F, _is_contiguous_f(self.get_volume(), self.base))
 * 
*/
    __pyx_r = __pyx_f_4cuda_4core_7_layout__boolean_property(__pyx_v_self, __pyx_e_4cuda_4core_7_layout_PROP_IS_CONTIGUOUS_F);
    goto __pyx_L0;

    /* "cuda/core/_layout.pxd":247
 * 
 *     cdef inline bint get_is_contiguous_f(_StridedLayout self) except -1 nogil:
 *         if _has_valid_property(self, PROP_IS_CONTIGUOUS_F):             # <<<<<<<<<<<<<<
 *             return _boolean_property(self, PROP_IS_CONTIGUOUS_F)
 *         return _set_boolean_property(self, PROP_IS_CONTIGUOUS_F, _is_contiguous_f(self.get_volume(), self.base))
*/
  }

  /* "cuda/core/_layout.pxd":249
 *         if _has_valid_property(self, PROP_IS_CONTIGUOUS_F):
 *             return _boolean_property(self, PROP_IS_CONTIGUOUS_F)
 *         return _set_boolean_property(self, PROP_IS_CONTIGUOUS_F, _is_contiguous_f(self.get_volume(), self.base))             # <<<<<<<<<<<<<<
 * 
 *     cdef inline bint get_is_contiguous_any(_StridedLayout self) except -1 nogil:
*/
  __pyx_t_2 = __pyx_f_4cuda_4core_7_layout_14_StridedLayout_get_volume(__pyx_v_self); if (unlikely(__pyx_t_2 == ((int64_t)-1L))) __PYX_ERR(3, 249, __pyx_L1_error)
  __pyx_t_1 = __pyx_f_4cuda_4core_7_layout__is_contiguous_f(__pyx_t_2, __pyx_v_self->base); if (unlikely(__pyx_t_1 == ((int)-1))) __PYX_ERR(3, 249, __pyx_L1_error)
  __pyx_r = __pyx_f_4cuda_4core_7_layout__set_boolean_property(__pyx_v_self, __pyx_e_4cuda_4core_7_layout_PROP_IS_CONTIGUOUS_F, __pyx_t_1);
  goto __pyx_L0;

  /* "cuda/core/_layout.pxd":246
 *         return _set_boolean_property(self, PROP_IS_CONTIGUOUS_C, _is_contiguous_c(self.get_volume(), self.base))
 * 
 *     cdef inline bint get_is_contiguous_f(_StridedLayout self) except -1 nogil:             # <<<<<<<<<<<<<<
 *         if _has_valid_property(self, PROP_IS_CONTIGUOUS_F):
 *             return _boolean_property(self, PROP_IS_CONTIGUOUS_F)
*/

  /* function exit code */
  __pyx_L1_error:;
  __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
  __Pyx_AddTraceback("cuda.core._layout._StridedLayout.get_is_contiguous_f", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = -1;
  __Pyx_PyGILState_Release(__pyx_gilstate_save);
  __pyx_L0:;
  return __pyx_r;
}

/* "cuda/core/_layout.pxd":251
 *         return _set_boolean_property(self, PROP_IS_CONTIGUOUS_F, _is_contiguous_f(self.get_volume(), self.base))
 * 
 *     cdef inline bint get_is_contiguous_any(_StridedLayout self) except -1 nogil:             # <<<<<<<<<<<<<<
 *         if _has_valid_property(self, PROP_IS_CONTIGUOUS_ANY):
 *             return _boolean_property(self, PROP_IS_CONTIGUOUS_ANY)
*/

static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_get_is_contiguous_any(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self) {
  __pyx_t_4cuda_4core_7_layout_axis_vec_t __pyx_v_stride_order;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int64_t __pyx_t_3;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyGILState_STATE __pyx_gilstate_save;

  /* "cuda/core/_layout.pxd":252
 * 
 *     cdef inline bint get_is_contiguous_any(_StridedLayout self) except -1 nogil:
 *         if _has_valid_property(self, PROP_IS_CONTIGUOUS_ANY):             # <<<<<<<<<<<<<<
 *             return _boolean_property(self, PROP_IS_CONTIGUOUS_ANY)
 *         cdef axis_vec_t stride_order
*/
  __pyx_t_1 = __pyx_f_4cuda_4core_7_layout__has_valid_property(__pyx_v_self, __pyx_e_4cuda_4core_7_layout_PROP_IS_CONTIGUOUS_ANY);
  if (__pyx_t_1) {

    /* "cuda/core/_layout.pxd":253
 *     cdef inline bint get_is_contiguous_any(_StridedLayout self) except -1 nogil:
 *         if _has_valid_property(self, PROP_IS_CONTIGUOUS_ANY):
 *             return _boolean_property(self, PROP_IS_CONTIGUOUS_ANY)             # <<<<<<<<<<<<<<
 *         cdef axis_vec_t stride_order
 *         self.get_stride_order(stride_order)
*/
    __pyx_r = __pyx_f_4cuda_4core_7_layout__boolean_property(__pyx_v_self, __pyx_e_4cuda_4core_7_layout_PROP_IS_CONTIGUOUS_ANY);
    goto __pyx_L0;

    /* "cuda/core/_layout.pxd":252
 * 
 *     cdef inline bint get_is_contiguous_any(_StridedLayout self) except -1 nogil:
 *         if _has_valid_property(self, PROP_IS_CONTIGUOUS_ANY):             # <<<<<<<<<<<<<<
 *             return _boolean_property(self, PROP_IS_CONTIGUOUS_ANY)
 *         cdef axis_vec_t stride_order
*/
  }

  /* "cuda/core/_layout.pxd":255
 *             return _boolean_property(self, PROP_IS_CONTIGUOUS_ANY)
 *         cdef axis_vec_t stride_order
 *         self.get_stride_order(stride_order)             # <<<<<<<<<<<<<<
 *         return _set_boolean_property(self, PROP_IS_CONTIGUOUS_ANY, _is_contiguous_any(self.get_volume(), self.base, stride_order))
 * 
*/
  __pyx_t_2 = __pyx_f_4cuda_4core_7_layout_14_StridedLayout_get_stride_order(__pyx_v_self, __pyx_v_stride_order); if (unlikely(__pyx_t_2 == ((int)-1))) __PYX_ERR(3, 255, __pyx_L1_error)

  /* "cuda/core/_layout.pxd":256
 *         cdef axis_vec_t stride_order
 *         self.get_stride_order(stride_order)
 *         return _set_boolean_property(self, PROP_IS_CONTIGUOUS_ANY, _is_contiguous_any(self.get_volume(), self.base, stride_order))             # <<<<<<<<<<<<<<
 * 
 *     cdef inline bint get_is_dense(_StridedLayout self) except -1 nogil:
*/
  __pyx_t_3 = __pyx_f_4cuda_4core_7_layout_14_StridedLayout_get_volume(__pyx_v_self); if (unlikely(__pyx_t_3 == ((int64_t)-1L))) __PYX_ERR(3, 256, __pyx_L1_error)
  __pyx_t_1 = __pyx_f_4cuda_4core_7_layout__is_contiguous_any(__pyx_t_3, __pyx_v_self->base, __pyx_v_stride_order); if (unlikely(__pyx_t_1 == ((int)-1))) __PYX_ERR(3, 256, __pyx_L1_error)
  __pyx_r = __pyx_f_4cuda_4core_7_layout__set_boolean_property(__pyx_v_self, __pyx_e_4cuda_4core_7_layout_PROP_IS_CONTIGUOUS_ANY, __pyx_t_1);
  goto __pyx_L0;

  /* "cuda/core/_layout.pxd":251
 *         return _set_boolean_property(self, PROP_IS_CONTIGUOUS_F, _is_contiguous_f(self.get_volume(), self.base))
 * 
 *     cdef inline bint get_is_contiguous_any(_StridedLayout self) except -1 nogil:             # <<<<<<<<<<<<<<
 *         if _has_valid_property(self, PROP_IS_CONTIGUOUS_ANY):
 *             return _boolean_property(self, PROP_IS_CONTIGUOUS_ANY)
*/

  /* function exit code */
  __pyx_L1_error:;
  __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
  __Pyx_AddTraceback("cuda.core._layout._StridedLayout.get_is_contiguous_any", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = -1;
  __Pyx_PyGILState_Release(__pyx_gilstate_save);
  __pyx_L0:;
  return __pyx_r;
}

/* "cuda/core/_layout.pxd":258
 *         return _set_boolean_property(self, PROP_IS_CONTIGUOUS_ANY, _is_contiguous_any(self.get_volume(), self.base, stride_order))
 * 
 *     cdef inline bint get_is_dense(_StridedLayout self) except -1 nogil:             # <<<<<<<<<<<<<<
 *         if _has_valid_property(self, PROP_IS_DENSE):
 *             return _boolean_property(self, PROP_IS_DENSE)
*/

static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_get_is_dense(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self) {
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyGILState_STATE __pyx_gilstate_save;

  /* "cuda/core/_layout.pxd":259
 * 
 *     cdef inline bint get_is_dense(_StridedLayout self) except -1 nogil:
 *         if _has_valid_property(self, PROP_IS_DENSE):             # <<<<<<<<<<<<<<
 *             return _boolean_property(self, PROP_IS_DENSE)
 *         return _set_boolean_property(self, PROP_IS_DENSE, self.slice_offset == 0 and self.get_is_contiguous_any())
*/
  __pyx_t_1 = __pyx_f_4cuda_4core_7_layout__has_valid_property(__pyx_v_self, __pyx_e_4cuda_4core_7_layout_PROP_IS_DENSE);
  if (__pyx_t_1) {

    /* "cuda/core/_layout.pxd":260
 *     cdef inline bint get_is_dense(_StridedLayout self) except -1 nogil:
 *         if _has_valid_property(self, PROP_IS_DENSE):
 *             return _boolean_property(self, PROP_IS_DENSE)             # <<<<<<<<<<<<<<
 *         return _set_boolean_property(self, PROP_IS_DENSE, self.slice_offset == 0 and self.get_is_contiguous_any())
 * 
*/
    __pyx_r = __pyx_f_4cuda_4core_7_layout__boolean_property(__pyx_v_self, __pyx_e_4cuda_4core_7_layout_PROP_IS_DENSE);
    goto __pyx_L0;

    /* "cuda/core/_layout.pxd":259
 * 
 *     cdef inline bint get_is_dense(_StridedLayout self) except -1 nogil:
 *         if _has_valid_property(self, PROP_IS_DENSE):             # <<<<<<<<<<<<<<
 *             return _boolean_property(self, PROP_IS_DENSE)
 *         return _set_boolean_property(self, PROP_IS_DENSE, self.slice_offset == 0 and self.get_is_contiguous_any())
*/
  }

  /* "cuda/core/_layout.pxd":261
 *         if _has_valid_property(self, PROP_IS_DENSE):
 *             return _boolean_property(self, PROP_IS_DENSE)
 *         return _set_boolean_property(self, PROP_IS_DENSE, self.slice_offset == 0 and self.get_is_contiguous_any())             # <<<<<<<<<<<<<<
 * 
 *     cdef inline int get_offset_bounds(_StridedLayout self, stride_t& min_offset, stride_t& max_offset) except -1 nogil:
*/
  __pyx_t_2 = (__pyx_v_self->slice_offset == 0);
  if (__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L4_bool_binop_done;
  }
  __pyx_t_2 = __pyx_f_4cuda_4core_7_layout_14_StridedLayout_get_is_contiguous_any(__pyx_v_self); if (unlikely(__pyx_t_2 == ((int)-1))) __PYX_ERR(3, 261, __pyx_L1_error)
  __pyx_t_1 = __pyx_t_2;
  __pyx_L4_bool_binop_done:;
  __pyx_r = __pyx_f_4cuda_4core_7_layout__set_boolean_property(__pyx_v_self, __pyx_e_4cuda_4core_7_layout_PROP_IS_DENSE, __pyx_t_1);
  goto __pyx_L0;

  /* "cuda/core/_layout.pxd":258
 *         return _set_boolean_property(self, PROP_IS_CONTIGUOUS_ANY, _is_contiguous_any(self.get_volume(), self.base, stride_order))
 * 
 *     cdef inline bint get_is_dense(_StridedLayout self) except -1 nogil:             # <<<<<<<<<<<<<<
 *         if _has_valid_property(self, PROP_IS_DENSE):
 *             return _boolean_property(self, PROP_IS_DENSE)
*/

  /* function exit code */
  __pyx_L1_error:;
  __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
  __Pyx_AddTraceback("cuda.core._layout._StridedLayout.get_is_dense", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = -1;
  __Pyx_PyGILState_Release(__pyx_gilstate_save);
  __pyx_L0:;
  return __pyx_r;
}

/* "cuda/core/_layout.pxd":263
 *         return _set_boolean_property(self, PROP_IS_DENSE, self.slice_offset == 0 and self.get_is_contiguous_any())
 * 
 *     cdef inline int get_offset_bounds(_StridedLayout self, stride_t& min_offset, stride_t& max_offset) except -1 nogil:             # <<<<<<<<<<<<<<
 *         if _has_valid_property(self, PROP_OFFSET_BOUNDS):
 *             min_offset = self._min_offset
*/

static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_get_offset_bounds(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self, __pyx_t_4cuda_4core_7_layout_stride_t &__pyx_v_min_offset, __pyx_t_4cuda_4core_7_layout_stride_t &__pyx_v_max_offset) {
  int __pyx_v_ndim;
  __pyx_t_4cuda_4core_7_layout_stride_t __pyx_v_stride;
  __pyx_t_4cuda_4core_7_layout_extent_t __pyx_v_extent;
  int __pyx_v_i;
  int __pyx_r;
  int __pyx_t_1;
  __pyx_t_4cuda_4core_7_layout_stride_t __pyx_t_2;
  int __pyx_t_3;
  int64_t __pyx_t_4;
  int64_t __pyx_t_5;
  int __pyx_t_6;
  int __pyx_t_7;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyGILState_STATE __pyx_gilstate_save;

  /* "cuda/core/_layout.pxd":264
 * 
 *     cdef inline int get_offset_bounds(_StridedLayout self, stride_t& min_offset, stride_t& max_offset) except -1 nogil:
 *         if _has_valid_property(self, PROP_OFFSET_BOUNDS):             # <<<<<<<<<<<<<<
 *             min_offset = self._min_offset
 *             max_offset = self._max_offset
*/
  __pyx_t_1 = __pyx_f_4cuda_4core_7_layout__has_valid_property(__pyx_v_self, __pyx_e_4cuda_4core_7_layout_PROP_OFFSET_BOUNDS);
  if (__pyx_t_1) {

    /* "cuda/core/_layout.pxd":265
 *     cdef inline int get_offset_bounds(_StridedLayout self, stride_t& min_offset, stride_t& max_offset) except -1 nogil:
 *         if _has_valid_property(self, PROP_OFFSET_BOUNDS):
 *             min_offset = self._min_offset             # <<<<<<<<<<<<<<
 *             max_offset = self._max_offset
 *             return 0
*/
    __pyx_t_2 = __pyx_v_self->_min_offset;
    __pyx_v_min_offset = __pyx_t_2;

    /* "cuda/core/_layout.pxd":266
 *         if _has_valid_property(self, PROP_OFFSET_BOUNDS):
 *             min_offset = self._min_offset
 *             max_offset = self._max_offset             # <<<<<<<<<<<<<<
 *             return 0
 *         cdef int ndim = self.base.ndim
*/
    __pyx_t_2 = __pyx_v_self->_max_offset;
    __pyx_v_max_offset = __pyx_t_2;

    /* "cuda/core/_layout.pxd":267
 *             min_offset = self._min_offset
 *             max_offset = self._max_offset
 *             return 0             # <<<<<<<<<<<<<<
 *         cdef int ndim = self.base.ndim
 *         cdef stride_t stride
*/
    __pyx_r = 0;
    goto __pyx_L0;

    /* "cuda/core/_layout.pxd":264
 * 
 *     cdef inline int get_offset_bounds(_StridedLayout self, stride_t& min_offset, stride_t& max_offset) except -1 nogil:
 *         if _has_valid_property(self, PROP_OFFSET_BOUNDS):             # <<<<<<<<<<<<<<
 *             min_offset = self._min_offset
 *             max_offset = self._max_offset
*/
  }

  /* "cuda/core/_layout.pxd":268
 *             max_offset = self._max_offset
 *             return 0
 *         cdef int ndim = self.base.ndim             # <<<<<<<<<<<<<<
 *         cdef stride_t stride
 *         cdef extent_t extent
*/
  __pyx_t_3 = __pyx_v_self->base.ndim;
  __pyx_v_ndim = __pyx_t_3;

  /* "cuda/core/_layout.pxd":271
 *         cdef stride_t stride
 *         cdef extent_t extent
 *         min_offset = self.slice_offset             # <<<<<<<<<<<<<<
 *         max_offset = self.slice_offset
 *         if self.base.strides == NULL:
*/
  __pyx_t_2 = __pyx_v_self->slice_offset;
  __pyx_v_min_offset = __pyx_t_2;

  /* "cuda/core/_layout.pxd":272
 *         cdef extent_t extent
 *         min_offset = self.slice_offset
 *         max_offset = self.slice_offset             # <<<<<<<<<<<<<<
 *         if self.base.strides == NULL:
 *             max_offset = _overflow_checked_sum(max_offset, self.get_volume() - 1)
*/
  __pyx_t_2 = __pyx_v_self->slice_offset;
  __pyx_v_max_offset = __pyx_t_2;

  /* "cuda/core/_layout.pxd":273
 *         min_offset = self.slice_offset
 *         max_offset = self.slice_offset
 *         if self.base.strides == NULL:             # <<<<<<<<<<<<<<
 *             max_offset = _overflow_checked_sum(max_offset, self.get_volume() - 1)
 *         else:
*/
  __pyx_t_1 = (__pyx_v_self->base.strides == NULL);
  if (__pyx_t_1) {

    /* "cuda/core/_layout.pxd":274
 *         max_offset = self.slice_offset
 *         if self.base.strides == NULL:
 *             max_offset = _overflow_checked_sum(max_offset, self.get_volume() - 1)             # <<<<<<<<<<<<<<
 *         else:
 *             for i in range(ndim):
*/
    __pyx_t_4 = __pyx_f_4cuda_4core_7_layout_14_StridedLayout_get_volume(__pyx_v_self); if (unlikely(__pyx_t_4 == ((int64_t)-1L))) __PYX_ERR(3, 274, __pyx_L1_error)
    __pyx_t_5 = __pyx_f_4cuda_4core_7_layout__overflow_checked_sum(__pyx_v_max_offset, (__pyx_t_4 - 1)); if (unlikely(__pyx_t_5 == ((int64_t)-1L) && __Pyx_ErrOccurredWithGIL())) __PYX_ERR(3, 274, __pyx_L1_error)
    __pyx_v_max_offset = __pyx_t_5;

    /* "cuda/core/_layout.pxd":273
 *         min_offset = self.slice_offset
 *         max_offset = self.slice_offset
 *         if self.base.strides == NULL:             # <<<<<<<<<<<<<<
 *             max_offset = _overflow_checked_sum(max_offset, self.get_volume() - 1)
 *         else:
*/
    goto __pyx_L4;
  }

  /* "cuda/core/_layout.pxd":276
 *             max_offset = _overflow_checked_sum(max_offset, self.get_volume() - 1)
 *         else:
 *             for i in range(ndim):             # <<<<<<<<<<<<<<
 *                 stride = self.base.strides[i]  # can be negative
 *                 extent = self.base.shape[i]  # must be non-negative
*/
  /*else*/ {
    __pyx_t_3 = __pyx_v_ndim;
    __pyx_t_6 = __pyx_t_3;
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/* "cuda/core/_layout.pxd":378
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*/
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 * 
*/
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 * 
 * cdef inline void _zero_strides(BaseLayout& base) noexcept nogil:             # <<<<<<<<<<<<<<
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/* "cuda/core/_layout.pxd":423
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 * 
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 * cdef inline stride_t _dense_strides_c_ptrs(int ndim, extent_t* shape, stride_t* strides) except? -1 nogil:
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*/
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/* "cuda/core/_layout.pxd":497
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/* "cuda/core/_layout.pxd":587
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/* "cuda/core/_layout.pxd":591
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/* "cuda/core/_layout.pxd":595
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 * cdef inline OrderFlag _stride_order2vec(axis_vec_t& stride_order_vec, object stride_order) except? ORDER_NONE:             # <<<<<<<<<<<<<<
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    /* "cuda/core/_layout.pxd":641
 * 
 * cdef inline bint _normalize_axis(integer_t& axis, integer_t extent) except -1 nogil:
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  /* "cuda/core/_layout.pxd":640
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 * cdef inline bint _normalize_axis(integer_t& axis, integer_t extent) except -1 nogil:
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*/
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    /* "cuda/core/_layout.pxd":641
 * 
 * cdef inline bint _normalize_axis(integer_t& axis, integer_t extent) except -1 nogil:
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*/
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*/
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    /* "cuda/core/_layout.pxd":644
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*/
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  /* "cuda/core/_layout.pxd":640
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 * 
 * cdef inline bint _normalize_axis(integer_t& axis, integer_t extent) except -1 nogil:             # <<<<<<<<<<<<<<
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/* "cuda/core/_layout.pxd":648
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 * 
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 * 
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*/
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    goto __pyx_L4_bool_binop_done;
  }
  __pyx_t_3 = (__pyx_v_squeezed.ndim == __pyx_v_self->base.ndim);
  __pyx_t_2 = __pyx_t_3;
  __pyx_L4_bool_binop_done:;
  if (__pyx_t_2) {

    /* "cuda/core/_layout.pyx":795
 * 
 *         if out_layout is self and squeezed.ndim == self.base.ndim:
 *             return 0             # <<<<<<<<<<<<<<
 * 
 *         # Reset all memoized properties
*/
    __pyx_r = 0;
    goto __pyx_L0;

    /* "cuda/core/_layout.pyx":794
 *         squeeze_extents(squeezed, self.base)
 * 
 *         if out_layout is self and squeezed.ndim == self.base.ndim:             # <<<<<<<<<<<<<<
 *             return 0
 * 
*/
  }

  /* "cuda/core/_layout.pyx":798
 * 
 *         # Reset all memoized properties
 *         out_layout._prop_mask = 0             # <<<<<<<<<<<<<<
 * 
 *         # Preserved attributes
*/
  __pyx_v_out_layout->_prop_mask = 0;

  /* "cuda/core/_layout.pyx":801
 * 
 *         # Preserved attributes
 *         out_layout.itemsize = self.itemsize             # <<<<<<<<<<<<<<
 *         out_layout.slice_offset = self.slice_offset
 *         maybe_copy_volume(out_layout, self)
*/
  __pyx_t_1 = __pyx_v_self->itemsize;
  __pyx_v_out_layout->itemsize = __pyx_t_1;

  /* "cuda/core/_layout.pyx":802
 *         # Preserved attributes
 *         out_layout.itemsize = self.itemsize
 *         out_layout.slice_offset = self.slice_offset             # <<<<<<<<<<<<<<
 *         maybe_copy_volume(out_layout, self)
 * 
*/
  __pyx_t_4 = __pyx_v_self->slice_offset;
  __pyx_v_out_layout->slice_offset = __pyx_t_4;

  /* "cuda/core/_layout.pyx":803
 *         out_layout.itemsize = self.itemsize
 *         out_layout.slice_offset = self.slice_offset
 *         maybe_copy_volume(out_layout, self)             # <<<<<<<<<<<<<<
 * 
 *         # Set new attributes
*/
  __pyx_t_1 = __pyx_f_4cuda_4core_7_layout_maybe_copy_volume(__pyx_v_out_layout, __pyx_v_self); if (unlikely(__pyx_t_1 == ((int)-1))) __PYX_ERR(0, 803, __pyx_L1_error)

  /* "cuda/core/_layout.pyx":806
 * 
 *         # Set new attributes
 *         _swap_layout(out_layout.base, squeezed)             # <<<<<<<<<<<<<<
 *         return 0
 * 
*/
  __pyx_f_4cuda_4core_7_layout__swap_layout(__pyx_v_out_layout->base, __pyx_v_squeezed);

  /* "cuda/core/_layout.pyx":807
 *         # Set new attributes
 *         _swap_layout(out_layout.base, squeezed)
 *         return 0             # <<<<<<<<<<<<<<
 * 
 *     cdef int unsqueeze_into(_StridedLayout self, _StridedLayout out_layout, axis_vec_t& axis_vec) except -1 nogil:
*/
  __pyx_r = 0;
  goto __pyx_L0;

  /* "cuda/core/_layout.pyx":790
 *         return 0
 * 
 *     cdef int squeeze_into(_StridedLayout self, _StridedLayout out_layout) except -1 nogil:             # <<<<<<<<<<<<<<
 *         cdef BaseLayout squeezed
 *         squeeze_extents(squeezed, self.base)
*/

  /* function exit code */
  __pyx_L1_error:;
  __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
  __Pyx_AddTraceback("cuda.core._layout._StridedLayout.squeeze_into", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = -1;
  __Pyx_PyGILState_Release(__pyx_gilstate_save);
  __pyx_L0:;
  return __pyx_r;
}

/* "cuda/core/_layout.pyx":809
 *         return 0
 * 
 *     cdef int unsqueeze_into(_StridedLayout self, _StridedLayout out_layout, axis_vec_t& axis_vec) except -1 nogil:             # <<<<<<<<<<<<<<
 *         if axis_vec.size() == 0 and self is out_layout:
 *             return 0
*/

static int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_unsqueeze_into(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self, struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_out_layout, __pyx_t_4cuda_4core_7_layout_axis_vec_t &__pyx_v_axis_vec) {
  struct __pyx_t_4cuda_4core_7_layout_BaseLayout __pyx_v_unsqueezed;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  __pyx_t_4cuda_4core_7_layout_stride_t __pyx_t_4;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyGILState_STATE __pyx_gilstate_save;

  /* "cuda/core/_layout.pyx":810
 * 
 *     cdef int unsqueeze_into(_StridedLayout self, _StridedLayout out_layout, axis_vec_t& axis_vec) except -1 nogil:
 *         if axis_vec.size() == 0 and self is out_layout:             # <<<<<<<<<<<<<<
 *             return 0
 * 
*/
  __pyx_t_2 = (__pyx_v_axis_vec.size() == 0);
  if (__pyx_t_2) {
  } else {
    __pyx_t_1 = __pyx_t_2;
    goto __pyx_L4_bool_binop_done;
  }
  __pyx_t_2 = (__pyx_v_self == __pyx_v_out_layout);
  __pyx_t_1 = __pyx_t_2;
  __pyx_L4_bool_binop_done:;
  if (__pyx_t_1) {

    /* "cuda/core/_layout.pyx":811
 *     cdef int unsqueeze_into(_StridedLayout self, _StridedLayout out_layout, axis_vec_t& axis_vec) except -1 nogil:
 *         if axis_vec.size() == 0 and self is out_layout:
 *             return 0             # <<<<<<<<<<<<<<
 * 
 *         cdef BaseLayout unsqueezed
*/
    __pyx_r = 0;
    goto __pyx_L0;

    /* "cuda/core/_layout.pyx":810
 * 
 *     cdef int unsqueeze_into(_StridedLayout self, _StridedLayout out_layout, axis_vec_t& axis_vec) except -1 nogil:
 *         if axis_vec.size() == 0 and self is out_layout:             # <<<<<<<<<<<<<<
 *             return 0
 * 
*/
  }

  /* "cuda/core/_layout.pyx":814
 * 
 *         cdef BaseLayout unsqueezed
 *         unsqueeze_extents(unsqueezed, self.base, axis_vec)             # <<<<<<<<<<<<<<
 * 
 *         # Reset all memoized properties
*/
  __pyx_t_3 = __pyx_f_4cuda_4core_7_layout_unsqueeze_extents(__pyx_v_unsqueezed, __pyx_v_self->base, __pyx_v_axis_vec); if (unlikely(__pyx_t_3 == ((int)-1))) __PYX_ERR(0, 814, __pyx_L1_error)

  /* "cuda/core/_layout.pyx":817
 * 
 *         # Reset all memoized properties
 *         out_layout._prop_mask = 0             # <<<<<<<<<<<<<<
 * 
 *         # Preserved attributes
*/
  __pyx_v_out_layout->_prop_mask = 0;

  /* "cuda/core/_layout.pyx":820
 * 
 *         # Preserved attributes
 *         out_layout.itemsize = self.itemsize             # <<<<<<<<<<<<<<
 *         out_layout.slice_offset = self.slice_offset
 *         maybe_copy_volume(out_layout, self)
*/
  __pyx_t_3 = __pyx_v_self->itemsize;
  __pyx_v_out_layout->itemsize = __pyx_t_3;

  /* "cuda/core/_layout.pyx":821
 *         # Preserved attributes
 *         out_layout.itemsize = self.itemsize
 *         out_layout.slice_offset = self.slice_offset             # <<<<<<<<<<<<<<
 *         maybe_copy_volume(out_layout, self)
 * 
*/
  __pyx_t_4 = __pyx_v_self->slice_offset;
  __pyx_v_out_layout->slice_offset = __pyx_t_4;

  /* "cuda/core/_layout.pyx":822
 *         out_layout.itemsize = self.itemsize
 *         out_layout.slice_offset = self.slice_offset
 *         maybe_copy_volume(out_layout, self)             # <<<<<<<<<<<<<<
 * 
 *         # Set new attributes
*/
  __pyx_t_3 = __pyx_f_4cuda_4core_7_layout_maybe_copy_volume(__pyx_v_out_layout, __pyx_v_self); if (unlikely(__pyx_t_3 == ((int)-1))) __PYX_ERR(0, 822, __pyx_L1_error)

  /* "cuda/core/_layout.pyx":825
 * 
 *         # Set new attributes
 *         _swap_layout(out_layout.base, unsqueezed)             # <<<<<<<<<<<<<<
 *         return 0
 * 
*/
  __pyx_f_4cuda_4core_7_layout__swap_layout(__pyx_v_out_layout->base, __pyx_v_unsqueezed);

  /* "cuda/core/_layout.pyx":826
 *         # Set new attributes
 *         _swap_layout(out_layout.base, unsqueezed)
 *         return 0             # <<<<<<<<<<<<<<
 * 
 *     cdef int broadcast_into(_StridedLayout self, _StridedLayout out_layout, BaseLayout& broadcast) except -1 nogil:
*/
  __pyx_r = 0;
  goto __pyx_L0;

  /* "cuda/core/_layout.pyx":809
 *         return 0
 * 
 *     cdef int unsqueeze_into(_StridedLayout self, _StridedLayout out_layout, axis_vec_t& axis_vec) except -1 nogil:             # <<<<<<<<<<<<<<
 *         if axis_vec.size() == 0 and self is out_layout:
 *             return 0
*/

  /* function exit code */
  __pyx_L1_error:;
  __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
  __Pyx_AddTraceback("cuda.core._layout._StridedLayout.unsqueeze_into", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = -1;
  __Pyx_PyGILState_Release(__pyx_gilstate_save);
  __pyx_L0:;
  return __pyx_r;
}

/* "cuda/core/_layout.pyx":828
 *         return 0
 * 
 *     cdef int broadcast_into(_StridedLayout self, _StridedLayout out_layout, BaseLayout& broadcast) except -1 nogil:             # <<<<<<<<<<<<<<
 *         _validate_shape(broadcast)
 *         broadcast_extents(broadcast, self.base)
*/

static int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_broadcast_into(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self, struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_out_layout, struct __pyx_t_4cuda_4core_7_layout_BaseLayout &__pyx_v_broadcast) {
  int __pyx_r;
  int __pyx_t_1;
  __pyx_t_4cuda_4core_7_layout_stride_t __pyx_t_2;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyGILState_STATE __pyx_gilstate_save;

  /* "cuda/core/_layout.pyx":829
 * 
 *     cdef int broadcast_into(_StridedLayout self, _StridedLayout out_layout, BaseLayout& broadcast) except -1 nogil:
 *         _validate_shape(broadcast)             # <<<<<<<<<<<<<<
 *         broadcast_extents(broadcast, self.base)
 * 
*/
  __pyx_t_1 = __pyx_f_4cuda_4core_7_layout__validate_shape(__pyx_v_broadcast); if (unlikely(__pyx_t_1 == ((int)-1))) __PYX_ERR(0, 829, __pyx_L1_error)

  /* "cuda/core/_layout.pyx":830
 *     cdef int broadcast_into(_StridedLayout self, _StridedLayout out_layout, BaseLayout& broadcast) except -1 nogil:
 *         _validate_shape(broadcast)
 *         broadcast_extents(broadcast, self.base)             # <<<<<<<<<<<<<<
 * 
 *         # Reset all memoized properties
*/
  __pyx_t_1 = __pyx_f_4cuda_4core_7_layout_broadcast_extents(__pyx_v_broadcast, __pyx_v_self->base); if (unlikely(__pyx_t_1 == ((int)-1))) __PYX_ERR(0, 830, __pyx_L1_error)

  /* "cuda/core/_layout.pyx":833
 * 
 *         # Reset all memoized properties
 *         out_layout._prop_mask = 0             # <<<<<<<<<<<<<<
 * 
 *         # Preserved attributes
*/
  __pyx_v_out_layout->_prop_mask = 0;

  /* "cuda/core/_layout.pyx":836
 * 
 *         # Preserved attributes
 *         out_layout.itemsize = self.itemsize             # <<<<<<<<<<<<<<
 *         out_layout.slice_offset = self.slice_offset
 * 
*/
  __pyx_t_1 = __pyx_v_self->itemsize;
  __pyx_v_out_layout->itemsize = __pyx_t_1;

  /* "cuda/core/_layout.pyx":837
 *         # Preserved attributes
 *         out_layout.itemsize = self.itemsize
 *         out_layout.slice_offset = self.slice_offset             # <<<<<<<<<<<<<<
 * 
 *         # Set new attributes
*/
  __pyx_t_2 = __pyx_v_self->slice_offset;
  __pyx_v_out_layout->slice_offset = __pyx_t_2;

  /* "cuda/core/_layout.pyx":840
 * 
 *         # Set new attributes
 *         _swap_layout(out_layout.base, broadcast)             # <<<<<<<<<<<<<<
 *         return 0
 * 
*/
  __pyx_f_4cuda_4core_7_layout__swap_layout(__pyx_v_out_layout->base, __pyx_v_broadcast);

  /* "cuda/core/_layout.pyx":841
 *         # Set new attributes
 *         _swap_layout(out_layout.base, broadcast)
 *         return 0             # <<<<<<<<<<<<<<
 * 
 *     cdef int pack_into(_StridedLayout self, _StridedLayout out_layout, int itemsize, intptr_t data_ptr, bint keep_dim, int axis=-1) except -1 nogil:
*/
  __pyx_r = 0;
  goto __pyx_L0;

  /* "cuda/core/_layout.pyx":828
 *         return 0
 * 
 *     cdef int broadcast_into(_StridedLayout self, _StridedLayout out_layout, BaseLayout& broadcast) except -1 nogil:             # <<<<<<<<<<<<<<
 *         _validate_shape(broadcast)
 *         broadcast_extents(broadcast, self.base)
*/

  /* function exit code */
  __pyx_L1_error:;
  __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
  __Pyx_AddTraceback("cuda.core._layout._StridedLayout.broadcast_into", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = -1;
  __Pyx_PyGILState_Release(__pyx_gilstate_save);
  __pyx_L0:;
  return __pyx_r;
}

/* "cuda/core/_layout.pyx":843
 *         return 0
 * 
 *     cdef int pack_into(_StridedLayout self, _StridedLayout out_layout, int itemsize, intptr_t data_ptr, bint keep_dim, int axis=-1) except -1 nogil:             # <<<<<<<<<<<<<<
 * 
 *         cdef BaseLayout packed
*/

static int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_pack_into(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self, struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_out_layout, int __pyx_v_itemsize, intptr_t __pyx_v_data_ptr, int __pyx_v_keep_dim, struct __pyx_opt_args_4cuda_4core_7_layout_14_StridedLayout_pack_into *__pyx_optional_args) {
  int __pyx_v_axis = ((int)-1);
  struct __pyx_t_4cuda_4core_7_layout_BaseLayout __pyx_v_packed;
  __pyx_t_4cuda_4core_7_layout_stride_t __pyx_v_new_slice_offset;
  int __pyx_v_vec_size;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyGILState_STATE __pyx_gilstate_save;
  if (__pyx_optional_args) {
    if (__pyx_optional_args->__pyx_n > 0) {
      __pyx_v_axis = __pyx_optional_args->axis;
    }
  }

  /* "cuda/core/_layout.pyx":846
 * 
 *         cdef BaseLayout packed
 *         cdef stride_t new_slice_offset = 0             # <<<<<<<<<<<<<<
 *         cdef int vec_size = pack_extents(
 *             packed,
*/
  __pyx_v_new_slice_offset = 0;

  /* "cuda/core/_layout.pyx":847
 *         cdef BaseLayout packed
 *         cdef stride_t new_slice_offset = 0
 *         cdef int vec_size = pack_extents(             # <<<<<<<<<<<<<<
 *             packed,
 *             new_slice_offset,
*/
  __pyx_t_1 = __pyx_f_4cuda_4core_7_layout_pack_extents(__pyx_v_packed, __pyx_v_new_slice_offset, __pyx_v_self->base, __pyx_v_self->slice_offset, __pyx_v_self->itemsize, __pyx_v_itemsize, __pyx_v_data_ptr, __pyx_v_keep_dim, __pyx_v_axis); if (unlikely(__pyx_t_1 == ((int)-1))) __PYX_ERR(0, 847, __pyx_L1_error)
  __pyx_v_vec_size = __pyx_t_1;

  /* "cuda/core/_layout.pyx":859
 *         )
 * 
 *         if vec_size == 1 and out_layout is self:             # <<<<<<<<<<<<<<
 *             return 0
 * 
*/
  __pyx_t_3 = (__pyx_v_vec_size == 1);
  if (__pyx_t_3) {
  } else {
    __pyx_t_2 = __pyx_t_3;
    goto __pyx_L4_bool_binop_done;
  }
  __pyx_t_3 = (__pyx_v_out_layout == __pyx_v_self);
  __pyx_t_2 = __pyx_t_3;
  __pyx_L4_bool_binop_done:;
  if (__pyx_t_2) {

    /* "cuda/core/_layout.pyx":860
 * 
 *         if vec_size == 1 and out_layout is self:
 *             return 0             # <<<<<<<<<<<<<<
 * 
 *         # Reset all memoized properties
*/
    __pyx_r = 0;
    goto __pyx_L0;

    /* "cuda/core/_layout.pyx":859
 *         )
 * 
 *         if vec_size == 1 and out_layout is self:             # <<<<<<<<<<<<<<
 *             return 0
 * 
*/
  }

  /* "cuda/core/_layout.pyx":863
 * 
 *         # Reset all memoized properties
 *         out_layout._prop_mask = 0             # <<<<<<<<<<<<<<
 * 
 *         # Set new attributes
*/
  __pyx_v_out_layout->_prop_mask = 0;

  /* "cuda/core/_layout.pyx":866
 * 
 *         # Set new attributes
 *         out_layout.itemsize = itemsize             # <<<<<<<<<<<<<<
 *         out_layout.slice_offset = new_slice_offset
 *         _swap_layout(out_layout.base, packed)
*/
  __pyx_v_out_layout->itemsize = __pyx_v_itemsize;

  /* "cuda/core/_layout.pyx":867
 *         # Set new attributes
 *         out_layout.itemsize = itemsize
 *         out_layout.slice_offset = new_slice_offset             # <<<<<<<<<<<<<<
 *         _swap_layout(out_layout.base, packed)
 *         return vec_size
*/
  __pyx_v_out_layout->slice_offset = __pyx_v_new_slice_offset;

  /* "cuda/core/_layout.pyx":868
 *         out_layout.itemsize = itemsize
 *         out_layout.slice_offset = new_slice_offset
 *         _swap_layout(out_layout.base, packed)             # <<<<<<<<<<<<<<
 *         return vec_size
 * 
*/
  __pyx_f_4cuda_4core_7_layout__swap_layout(__pyx_v_out_layout->base, __pyx_v_packed);

  /* "cuda/core/_layout.pyx":869
 *         out_layout.slice_offset = new_slice_offset
 *         _swap_layout(out_layout.base, packed)
 *         return vec_size             # <<<<<<<<<<<<<<
 * 
 *     cdef int unpack_into(_StridedLayout self, _StridedLayout out_layout, int itemsize, int axis=-1) except -1 nogil:
*/
  __pyx_r = __pyx_v_vec_size;
  goto __pyx_L0;

  /* "cuda/core/_layout.pyx":843
 *         return 0
 * 
 *     cdef int pack_into(_StridedLayout self, _StridedLayout out_layout, int itemsize, intptr_t data_ptr, bint keep_dim, int axis=-1) except -1 nogil:             # <<<<<<<<<<<<<<
 * 
 *         cdef BaseLayout packed
*/

  /* function exit code */
  __pyx_L1_error:;
  __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
  __Pyx_AddTraceback("cuda.core._layout._StridedLayout.pack_into", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = -1;
  __Pyx_PyGILState_Release(__pyx_gilstate_save);
  __pyx_L0:;
  return __pyx_r;
}

/* "cuda/core/_layout.pyx":871
 *         return vec_size
 * 
 *     cdef int unpack_into(_StridedLayout self, _StridedLayout out_layout, int itemsize, int axis=-1) except -1 nogil:             # <<<<<<<<<<<<<<
 *         cdef BaseLayout unpacked
 *         cdef int vec_size = unpack_extents(
*/

static int __pyx_f_4cuda_4core_7_layout_14_StridedLayout_unpack_into(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_self, struct __pyx_obj_4cuda_4core_7_layout__StridedLayout *__pyx_v_out_layout, int __pyx_v_itemsize, struct __pyx_opt_args_4cuda_4core_7_layout_14_StridedLayout_unpack_into *__pyx_optional_args) {
  int __pyx_v_axis = ((int)-1);
  struct __pyx_t_4cuda_4core_7_layout_BaseLayout __pyx_v_unpacked;
  int __pyx_v_vec_size;
  int64_t __pyx_v_new_slice_offset;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int64_t __pyx_t_4;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyGILState_STATE __pyx_gilstate_save;
  if (__pyx_optional_args) {
    if (__pyx_optional_args->__pyx_n > 0) {
      __pyx_v_axis = __pyx_optional_args->axis;
    }
  }

  /* "cuda/core/_layout.pyx":873
 *     cdef int unpack_into(_StridedLayout self, _StridedLayout out_layout, int itemsize, int axis=-1) except -1 nogil:
 *         cdef BaseLayout unpacked
 *         cdef int vec_size = unpack_extents(             # <<<<<<<<<<<<<<
 *             unpacked,
 *             self.base,
*/
  __pyx_t_1 = __pyx_f_4cuda_4core_7_layout_unpack_extents(__pyx_v_unpacked, __pyx_v_self->base, __pyx_v_self->itemsize, __pyx_v_itemsize, __pyx_v_axis); if (unlikely(__pyx_t_1 == ((int)-1))) __PYX_ERR(0, 873, __pyx_L1_error)
  __pyx_v_vec_size = __pyx_t_1;

  /* "cuda/core/_layout.pyx":880
 *             axis
 *         )
 *         if vec_size == 1 and out_layout is self:             # <<<<<<<<<<<<<<
 *             return 0
 * 
*/
  __pyx_t_3 = (__pyx_v_vec_size == 1);
  if (__pyx_t_3) {
  } else {
    __pyx_t_2 = __pyx_t_3;
    goto __pyx_L4_bool_binop_done;
  }
  __pyx_t_3 = (__pyx_v_out_layout == __pyx_v_self);
  __pyx_t_2 = __pyx_t_3;
  __pyx_L4_bool_binop_done:;
  if (__pyx_t_2) {

    /* "cuda/core/_layout.pyx":881
 *         )
 *         if vec_size == 1 and out_layout is self:
 *             return 0             # <<<<<<<<<<<<<<
 * 
 *         cdef int64_t new_slice_offset = _overflow_checked_mul(self.slice_offset, vec_size)
*/
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  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  __pyx_t_4cuda_4core_7_layout_extent_t *__pyx_t_3;
  __pyx_t_4cuda_4core_7_layout_stride_t *__pyx_t_4;
  int __pyx_t_5;
  int64_t __pyx_t_6;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyGILState_STATE __pyx_gilstate_save;

  /* "cuda/core/_layout.pyx":960
 * 
 * cdef inline int flatten_strides_in_c_index_order(BaseLayout& out_layout, BaseLayout& in_layout, axes_mask_t axis_mask) except -1 nogil:
 *     cdef int ndim = in_layout.ndim             # <<<<<<<<<<<<<<
 *     if ndim == 0:
 *         init_base_layout(out_layout, 1)
*/
  __pyx_t_1 = __pyx_v_in_layout.ndim;
  __pyx_v_ndim = __pyx_t_1;

  /* "cuda/core/_layout.pyx":961
 * cdef inline int flatten_strides_in_c_index_order(BaseLayout& out_layout, BaseLayout& in_layout, axes_mask_t axis_mask) except -1 nogil:
 *     cdef int ndim = in_layout.ndim
 *     if ndim == 0:             # <<<<<<<<<<<<<<
 *         init_base_layout(out_layout, 1)
 *         out_layout.shape[0] = 1
*/
  __pyx_t_2 = (__pyx_v_ndim == 0);
  if (__pyx_t_2) {

    /* "cuda/core/_layout.pyx":962
 *     cdef int ndim = in_layout.ndim
 *     if ndim == 0:
 *         init_base_layout(out_layout, 1)             # <<<<<<<<<<<<<<
 *         out_layout.shape[0] = 1
 *         out_layout.strides[0] = 1
*/
    __pyx_t_1 = __pyx_f_4cuda_4core_7_layout_init_base_layout(__pyx_v_out_layout, 1); if (unlikely(__pyx_t_1 == ((int)-1))) __PYX_ERR(0, 962, __pyx_L1_error)

    /* "cuda/core/_layout.pyx":963
 *     if ndim == 0:
 *         init_base_layout(out_layout, 1)
 *         out_layout.shape[0] = 1             # <<<<<<<<<<<<<<
 *         out_layout.strides[0] = 1
 *         return 1
*/
    (__pyx_v_out_layout.shape[0]) = 1;

    /* "cuda/core/_layout.pyx":964
 *         init_base_layout(out_layout, 1)
 *         out_layout.shape[0] = 1
 *         out_layout.strides[0] = 1             # <<<<<<<<<<<<<<
 *         return 1
 *     init_base_layout(out_layout, ndim)
*/
    (__pyx_v_out_layout.strides[0]) = 1;

    /* "cuda/core/_layout.pyx":965
 *         out_layout.shape[0] = 1
 *         out_layout.strides[0] = 1
 *         return 1             # <<<<<<<<<<<<<<
 *     init_base_layout(out_layout, ndim)
 *     cdef int group_start = 0
*/
    __pyx_r = 1;
    goto __pyx_L0;

    /* "cuda/core/_layout.pyx":961
 * cdef inline int flatten_strides_in_c_index_order(BaseLayout& out_layout, BaseLayout& in_layout, axes_mask_t axis_mask) except -1 nogil:
 *     cdef int ndim = in_layout.ndim
 *     if ndim == 0:             # <<<<<<<<<<<<<<
 *         init_base_layout(out_layout, 1)
 *         out_layout.shape[0] = 1
*/
  }

  /* "cuda/core/_layout.pyx":966
 *         out_layout.strides[0] = 1
 *         return 1
 *     init_base_layout(out_layout, ndim)             # <<<<<<<<<<<<<<
 *     cdef int group_start = 0
 *     cdef int group_end = 0
*/
  __pyx_t_1 = __pyx_f_4cuda_4core_7_layout_init_base_layout(__pyx_v_out_layout, __pyx_v_ndim); if (unlikely(__pyx_t_1 == ((int)-1))) __PYX_ERR(0, 966, __pyx_L1_error)

  /* "cuda/core/_layout.pyx":967
 *         return 1
 *     init_base_layout(out_layout, ndim)
 *     cdef int group_start = 0             # <<<<<<<<<<<<<<
 *     cdef int group_end = 0
 *     cdef int64_t group_vol
*/
  __pyx_v_group_start = 0;

  /* "cuda/core/_layout.pyx":968
 *     init_base_layout(out_layout, ndim)
 *     cdef int group_start = 0
 *     cdef int group_end = 0             # <<<<<<<<<<<<<<
 *     cdef int64_t group_vol
 *     cdef int64_t group_stride
*/
  __pyx_v_group_end = 0;

  /* "cuda/core/_layout.pyx":971
 *     cdef int64_t group_vol
 *     cdef int64_t group_stride
 *     cdef int out_i = 0             # <<<<<<<<<<<<<<
 *     cdef extent_t* in_shape = in_layout.shape
 *     cdef stride_t* in_strides = get_strides_ptr(in_layout)
*/
  __pyx_v_out_i = 0;

  /* "cuda/core/_layout.pyx":972
 *     cdef int64_t group_stride
 *     cdef int out_i = 0
 *     cdef extent_t* in_shape = in_layout.shape             # <<<<<<<<<<<<<<
 *     cdef stride_t* in_strides = get_strides_ptr(in_layout)
 *     while group_start < ndim:
*/
  __pyx_t_3 = __pyx_v_in_layout.shape;
  __pyx_v_in_shape = __pyx_t_3;

  /* "cuda/core/_layout.pyx":973
 *     cdef int out_i = 0
 *     cdef extent_t* in_shape = in_layout.shape
 *     cdef stride_t* in_strides = get_strides_ptr(in_layout)             # <<<<<<<<<<<<<<
 *     while group_start < ndim:
 *         group_vol = in_shape[group_start]
*/
  __pyx_t_4 = __pyx_f_4cuda_4core_7_layout_get_strides_ptr(__pyx_v_in_layout); if (unlikely(__pyx_t_4 == ((void *)NULL) && __Pyx_ErrOccurredWithGIL())) __PYX_ERR(0, 973, __pyx_L1_error)
  __pyx_v_in_strides = __pyx_t_4;

  /* "cuda/core/_layout.pyx":974
 *     cdef extent_t* in_shape = in_layout.shape
 *     cdef stride_t* in_strides = get_strides_ptr(in_layout)
 *     while group_start < ndim:             # <<<<<<<<<<<<<<
 *         group_vol = in_shape[group_start]
 *         group_stride = in_strides[group_start]
*/
  while (1) {
    __pyx_t_2 = (__pyx_v_group_start < __pyx_v_ndim);
    if (!__pyx_t_2) break;

    /* "cuda/core/_layout.pyx":975
 *     cdef stride_t* in_strides = get_strides_ptr(in_layout)
 *     while group_start < ndim:
 *         group_vol = in_shape[group_start]             # <<<<<<<<<<<<<<
 *         group_stride = in_strides[group_start]
 *         group_end = group_start + 1
*/
    __pyx_v_group_vol = (__pyx_v_in_shape[__pyx_v_group_start]);

    /* "cuda/core/_layout.pyx":976
 *     while group_start < ndim:
 *         group_vol = in_shape[group_start]
 *         group_stride = in_strides[group_start]             # <<<<<<<<<<<<<<
 *         group_end = group_start + 1
 *         while (
*/
    __pyx_v_group_stride = (__pyx_v_in_strides[__pyx_v_group_start]);

    /* "cuda/core/_layout.pyx":977
 *         group_vol = in_shape[group_start]
 *         group_stride = in_strides[group_start]
 *         group_end = group_start + 1             # <<<<<<<<<<<<<<
 *         while (
 *             group_end < ndim
*/
    __pyx_v_group_end = (__pyx_v_group_start + 1);

    /* "cuda/core/_layout.pyx":978
 *         group_stride = in_strides[group_start]
 *         group_end = group_start + 1
 *         while (             # <<<<<<<<<<<<<<
 *             group_end < ndim
 *             and (axis_mask & _axis2mask(group_end))
*/
    while (1) {

      /* "cuda/core/_layout.pyx":979
 *         group_end = group_start + 1
 *         while (
 *             group_end < ndim             # <<<<<<<<<<<<<<
 *             and (axis_mask & _axis2mask(group_end))
 *             and group_stride == _overflow_checked_mul(in_strides[group_end], in_shape[group_end])
*/
      __pyx_t_5 = (__pyx_v_group_end < __pyx_v_ndim);
      if (__pyx_t_5) {
      } else {
        __pyx_t_2 = __pyx_t_5;
        goto __pyx_L8_bool_binop_done;
      }

      /* "cuda/core/_layout.pyx":980
 *         while (
 *             group_end < ndim
 *             and (axis_mask & _axis2mask(group_end))             # <<<<<<<<<<<<<<
 *             and group_stride == _overflow_checked_mul(in_strides[group_end], in_shape[group_end])
 *         ):
*/
      __pyx_t_5 = ((__pyx_v_axis_mask & __pyx_f_4cuda_4core_7_layout__axis2mask(__pyx_v_group_end)) != 0);
      if (__pyx_t_5) {
      } else {
        __pyx_t_2 = __pyx_t_5;
        goto __pyx_L8_bool_binop_done;
      }

      /* "cuda/core/_layout.pyx":981
 *             group_end < ndim
 *             and (axis_mask & _axis2mask(group_end))
 *             and group_stride == _overflow_checked_mul(in_strides[group_end], in_shape[group_end])             # <<<<<<<<<<<<<<
 *         ):
 *             group_vol = _overflow_checked_mul(group_vol, in_shape[group_end])
*/
      __pyx_t_6 = __pyx_f_4cuda_4core_7_layout__overflow_checked_mul((__pyx_v_in_strides[__pyx_v_group_end]), (__pyx_v_in_shape[__pyx_v_group_end])); if (unlikely(__pyx_t_6 == ((int64_t)-1L) && __Pyx_ErrOccurredWithGIL())) __PYX_ERR(0, 981, __pyx_L1_error)
      __pyx_t_5 = (__pyx_v_group_stride == __pyx_t_6);
      __pyx_t_2 = __pyx_t_5;
      __pyx_L8_bool_binop_done:;
      if (!__pyx_t_2) break;

      /* "cuda/core/_layout.pyx":983
 *             and group_stride == _overflow_checked_mul(in_strides[group_end], in_shape[group_end])
 *         ):
 *             group_vol = _overflow_checked_mul(group_vol, in_shape[group_end])             # <<<<<<<<<<<<<<
 *             group_stride = in_strides[group_end]
 *             group_end += 1
*/
      __pyx_t_6 = __pyx_f_4cuda_4core_7_layout__overflow_checked_mul(__pyx_v_group_vol, (__pyx_v_in_shape[__pyx_v_group_end])); if (unlikely(__pyx_t_6 == ((int64_t)-1L) && __Pyx_ErrOccurredWithGIL())) __PYX_ERR(0, 983, __pyx_L1_error)
      __pyx_v_group_vol = __pyx_t_6;

      /* "cuda/core/_layout.pyx":984
 *         ):
 *             group_vol = _overflow_checked_mul(group_vol, in_shape[group_end])
 *             group_stride = in_strides[group_end]             # <<<<<<<<<<<<<<
 *             group_end += 1
 *         out_layout.shape[out_i] = group_vol
*/
      __pyx_v_group_stride = (__pyx_v_in_strides[__pyx_v_group_end]);

      /* "cuda/core/_layout.pyx":985
 *             group_vol = _overflow_checked_mul(group_vol, in_shape[group_end])
 *             group_stride = in_strides[group_end]
 *             group_end += 1             # <<<<<<<<<<<<<<
 *         out_layout.shape[out_i] = group_vol
 *         out_layout.strides[out_i] = group_stride
*/
      __pyx_v_group_end = (__pyx_v_group_end + 1);
    }

    /* "cuda/core/_layout.pyx":986
 *             group_stride = in_strides[group_end]
 *             group_end += 1
 *         out_layout.shape[out_i] = group_vol             # <<<<<<<<<<<<<<
 *         out_layout.strides[out_i] = group_stride
 *         out_i += 1
*/
    (__pyx_v_out_layout.shape[__pyx_v_out_i]) = __pyx_v_group_vol;

    /* "cuda/core/_layout.pyx":987
 *             group_end += 1
 *         out_layout.shape[out_i] = group_vol
 *         out_layout.strides[out_i] = group_stride             # <<<<<<<<<<<<<<
 *         out_i += 1
 *         group_start = group_end
*/
    (__pyx_v_out_layout.strides[__pyx_v_out_i]) = __pyx_v_group_stride;

    /* "cuda/core/_layout.pyx":988
 *         out_layout.shape[out_i] = group_vol
 *         out_layout.strides[out_i] = group_stride
 *         out_i += 1             # <<<<<<<<<<<<<<
 *         group_start = group_end
 *     if out_i != ndim:
*/
    __pyx_v_out_i = (__pyx_v_out_i + 1);

    /* "cuda/core/_layout.pyx":989
 *         out_layout.strides[out_i] = group_stride
 *         out_i += 1
 *         group_start = group_end             # <<<<<<<<<<<<<<
 *     if out_i != ndim:
 *         trim_base_layout(out_layout, out_i)
*/
    __pyx_v_group_start = __pyx_v_group_end;
  }

  /* "cuda/core/_layout.pyx":990
 *         out_i += 1
 *         group_start = group_end
 *     if out_i != ndim:             # <<<<<<<<<<<<<<
 *         trim_base_layout(out_layout, out_i)
 *     return out_i
*/
  __pyx_t_2 = (__pyx_v_out_i != __pyx_v_ndim);
  if (__pyx_t_2) {

    /* "cuda/core/_layout.pyx":991
 *         group_start = group_end
 *     if out_i != ndim:
 *         trim_base_layout(out_layout, out_i)             # <<<<<<<<<<<<<<
 *     return out_i
 * 
*/
    __pyx_t_1 = __pyx_f_4cuda_4core_7_layout_trim_base_layout(__pyx_v_out_layout, __pyx_v_out_i); if (unlikely(__pyx_t_1 == ((int)-1))) __PYX_ERR(0, 991, __pyx_L1_error)

    /* "cuda/core/_layout.pyx":990
 *         out_i += 1
 *         group_start = group_end
 *     if out_i != ndim:             # <<<<<<<<<<<<<<
 *         trim_base_layout(out_layout, out_i)
 *     return out_i
*/
  }

  /* "cuda/core/_layout.pyx":992
 *     if out_i != ndim:
 *         trim_base_layout(out_layout, out_i)
 *     return out_i             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __pyx_r = __pyx_v_out_i;
  goto __pyx_L0;

  /* "cuda/core/_layout.pyx":959
 * 
 * 
 * cdef inline int flatten_strides_in_c_index_order(BaseLayout& out_layout, BaseLayout& in_layout, axes_mask_t axis_mask) except -1 nogil:             # <<<<<<<<<<<<<<
 *     cdef int ndim = in_layout.ndim
 *     if ndim == 0:
*/

  /* function exit code */
  __pyx_L1_error:;
  __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
  __Pyx_AddTraceback("cuda.core._layout.flatten_strides_in_c_index_order", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = -1;
  __Pyx_PyGILState_Release(__pyx_gilstate_save);
  __pyx_L0:;
  return __pyx_r;
}

/* "cuda/core/_layout.pyx":995
 * 
 * 
 * cdef inline axes_mask_t flattened_strides_in_c_index_order_mask(BaseLayout& layout) except? -1 nogil:             # <<<<<<<<<<<<<<
 *     if layout.strides == NULL:
 *         return flatten_all_axes_mask(layout.ndim)
*/

static CYTHON_INLINE __pyx_t_4cuda_4core_7_layout_axes_mask_t __pyx_f_4cuda_4core_7_layout_flattened_strides_in_c_index_order_mask(struct __pyx_t_4cuda_4core_7_layout_BaseLayout &__pyx_v_layout) {
  __pyx_t_4cuda_4core_7_layout_axes_mask_t __pyx_v_axis_mask;
  int __pyx_v_ndim;
  int __pyx_v_group_start;
  int __pyx_v_group_end;
  int64_t __pyx_v_group_vol;
  int64_t __pyx_v_group_stride;
  __pyx_t_4cuda_4core_7_layout_axes_mask_t __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int64_t __pyx_t_4;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyGILState_STATE __pyx_gilstate_save;

  /* "cuda/core/_layout.pyx":996
 * 
 * cdef inline axes_mask_t flattened_strides_in_c_index_order_mask(BaseLayout& layout) except? -1 nogil:
 *     if layout.strides == NULL:             # <<<<<<<<<<<<<<
 *         return flatten_all_axes_mask(layout.ndim)
 *     cdef axes_mask_t axis_mask = 0
*/
  __pyx_t_1 = (__pyx_v_layout.strides == NULL);
  if (__pyx_t_1) {

    /* "cuda/core/_layout.pyx":997
 * cdef inline axes_mask_t flattened_strides_in_c_index_order_mask(BaseLayout& layout) except? -1 nogil:
 *     if layout.strides == NULL:
 *         return flatten_all_axes_mask(layout.ndim)             # <<<<<<<<<<<<<<
 *     cdef axes_mask_t axis_mask = 0
 *     cdef int ndim = layout.ndim
*/
    __pyx_r = __pyx_f_4cuda_4core_7_layout_flatten_all_axes_mask(__pyx_v_layout.ndim);
    goto __pyx_L0;

    /* "cuda/core/_layout.pyx":996
 * 
 * cdef inline axes_mask_t flattened_strides_in_c_index_order_mask(BaseLayout& layout) except? -1 nogil:
 *     if layout.strides == NULL:             # <<<<<<<<<<<<<<
 *         return flatten_all_axes_mask(layout.ndim)
 *     cdef axes_mask_t axis_mask = 0
*/
  }

  /* "cuda/core/_layout.pyx":998
 *     if layout.strides == NULL:
 *         return flatten_all_axes_mask(layout.ndim)
 *     cdef axes_mask_t axis_mask = 0             # <<<<<<<<<<<<<<
 *     cdef int ndim = layout.ndim
 *     cdef int group_start = 0
*/
  __pyx_v_axis_mask = 0;

  /* "cuda/core/_layout.pyx":999
 *         return flatten_all_axes_mask(layout.ndim)
 *     cdef axes_mask_t axis_mask = 0
 *     cdef int ndim = layout.ndim             # <<<<<<<<<<<<<<
 *     cdef int group_start = 0
 *     cdef int group_end = 0
*/
  __pyx_t_2 = __pyx_v_layout.ndim;
  __pyx_v_ndim = __pyx_t_2;

  /* "cuda/core/_layout.pyx":1000
 *     cdef axes_mask_t axis_mask = 0
 *     cdef int ndim = layout.ndim
 *     cdef int group_start = 0             # <<<<<<<<<<<<<<
 *     cdef int group_end = 0
 *     cdef int64_t group_vol
*/
  __pyx_v_group_start = 0;

  /* "cuda/core/_layout.pyx":1001
 *     cdef int ndim = layout.ndim
 *     cdef int group_start = 0
 *     cdef int group_end = 0             # <<<<<<<<<<<<<<
 *     cdef int64_t group_vol
 *     cdef int64_t group_stride
*/
  __pyx_v_group_end = 0;

  /* "cuda/core/_layout.pyx":1004
 *     cdef int64_t group_vol
 *     cdef int64_t group_stride
 *     while group_start < ndim:             # <<<<<<<<<<<<<<
 *         group_vol = layout.shape[group_start]
 *         group_stride = layout.strides[group_start]
*/
  while (1) {
    __pyx_t_1 = (__pyx_v_group_start < __pyx_v_ndim);
    if (!__pyx_t_1) break;

    /* "cuda/core/_layout.pyx":1005
 *     cdef int64_t group_stride
 *     while group_start < ndim:
 *         group_vol = layout.shape[group_start]             # <<<<<<<<<<<<<<
 *         group_stride = layout.strides[group_start]
 *         group_end = group_start + 1
*/
    __pyx_v_group_vol = (__pyx_v_layout.shape[__pyx_v_group_start]);

    /* "cuda/core/_layout.pyx":1006
 *     while group_start < ndim:
 *         group_vol = layout.shape[group_start]
 *         group_stride = layout.strides[group_start]             # <<<<<<<<<<<<<<
 *         group_end = group_start + 1
 *         while group_end < ndim and group_stride == layout.strides[group_end] * layout.shape[group_end]:
*/
    __pyx_v_group_stride = (__pyx_v_layout.strides[__pyx_v_group_start]);

    /* "cuda/core/_layout.pyx":1007
 *         group_vol = layout.shape[group_start]
 *         group_stride = layout.strides[group_start]
 *         group_end = group_start + 1             # <<<<<<<<<<<<<<
 *         while group_end < ndim and group_stride == layout.strides[group_end] * layout.shape[group_end]:
 *             group_vol = _overflow_checked_mul(group_vol, layout.shape[group_end])
*/
    __pyx_v_group_end = (__pyx_v_group_start + 1);

    /* "cuda/core/_layout.pyx":1008
 *         group_stride = layout.strides[group_start]
 *         group_end = group_start + 1
 *         while group_end < ndim and group_stride == layout.strides[group_end] * layout.shape[group_end]:             # <<<<<<<<<<<<<<
 *             group_vol = _overflow_checked_mul(group_vol, layout.shape[group_end])
 *             group_stride = layout.strides[group_end]
*/
    while (1) {
      __pyx_t_3 = (__pyx_v_group_end < __pyx_v_ndim);
      if (__pyx_t_3) {
      } else {
        __pyx_t_1 = __pyx_t_3;
        goto __pyx_L8_bool_binop_done;
      }
      __pyx_t_3 = (__pyx_v_group_stride == ((__pyx_v_layout.strides[__pyx_v_group_end]) * (__pyx_v_layout.shape[__pyx_v_group_end])));
      __pyx_t_1 = __pyx_t_3;
      __pyx_L8_bool_binop_done:;
      if (!__pyx_t_1) break;

      /* "cuda/core/_layout.pyx":1009
 *         group_end = group_start + 1
 *         while group_end < ndim and group_stride == layout.strides[group_end] * layout.shape[group_end]:
 *             group_vol = _overflow_checked_mul(group_vol, layout.shape[group_end])             # <<<<<<<<<<<<<<
 *             group_stride = layout.strides[group_end]
 *             axis_mask |= _axis2mask(group_end)
*/
      __pyx_t_4 = __pyx_f_4cuda_4core_7_layout__overflow_checked_mul(__pyx_v_group_vol, (__pyx_v_layout.shape[__pyx_v_group_end])); if (unlikely(__pyx_t_4 == ((int64_t)-1L) && __Pyx_ErrOccurredWithGIL())) __PYX_ERR(0, 1009, __pyx_L1_error)
      __pyx_v_group_vol = __pyx_t_4;

      /* "cuda/core/_layout.pyx":1010
 *         while group_end < ndim and group_stride == layout.strides[group_end] * layout.shape[group_end]:
 *             group_vol = _overflow_checked_mul(group_vol, layout.shape[group_end])
 *             group_stride = layout.strides[group_end]             # <<<<<<<<<<<<<<
 *             axis_mask |= _axis2mask(group_end)
 *             group_end += 1
*/
      __pyx_v_group_stride = (__pyx_v_layout.strides[__pyx_v_group_end]);

      /* "cuda/core/_layout.pyx":1011
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 *             group_stride = layout.strides[group_end]
 *             axis_mask |= _axis2mask(group_end)             # <<<<<<<<<<<<<<
 *             group_end += 1
 *         group_start = group_end
*/
      __pyx_v_axis_mask = (__pyx_v_axis_mask | __pyx_f_4cuda_4core_7_layout__axis2mask(__pyx_v_group_end));

      /* "cuda/core/_layout.pyx":1012
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 *             axis_mask |= _axis2mask(group_end)
 *             group_end += 1             # <<<<<<<<<<<<<<
 *         group_start = group_end
 *     return axis_mask
*/
      __pyx_v_group_end = (__pyx_v_group_end + 1);
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    /* "cuda/core/_layout.pyx":1013
 *             axis_mask |= _axis2mask(group_end)
 *             group_end += 1
 *         group_start = group_end             # <<<<<<<<<<<<<<
 *     return axis_mask
 * 
*/
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 *         group_start = group_end
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 * 
 * 
*/
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 * 
 * cdef inline axes_mask_t flattened_strides_in_c_index_order_mask(BaseLayout& layout) except? -1 nogil:             # <<<<<<<<<<<<<<
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*/

  /* function exit code */
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/* "cuda/core/_layout.pyx":1017
 * 
 * 
 * cdef inline bint split_strides_in_c_index_order(BaseLayout& out_layout, BaseLayout& in_layout) except -1 nogil:             # <<<<<<<<<<<<<<
 *     cdef int i = in_layout.ndim - 1
 *     cdef int new_i = out_layout.ndim - 1
*/

static CYTHON_INLINE int __pyx_f_4cuda_4core_7_layout_split_strides_in_c_index_order(struct __pyx_t_4cuda_4core_7_layout_BaseLayout &__pyx_v_out_layout, struct __pyx_t_4cuda_4core_7_layout_BaseLayout &__pyx_v_in_layout) {
  int __pyx_v_i;
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  __pyx_t_4cuda_4core_7_layout_extent_t __pyx_v_new_extent;
  __pyx_t_4cuda_4core_7_layout_extent_t __pyx_v_group_vol;
  __pyx_t_4cuda_4core_7_layout_stride_t __pyx_v_group_stride;
  __pyx_t_4cuda_4core_7_layout_extent_t *__pyx_v_in_shape;
  __pyx_t_4cuda_4core_7_layout_stride_t *__pyx_v_in_strides;
  int __pyx_r;
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  __pyx_t_4cuda_4core_7_layout_stride_t *__pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;
  int64_t __pyx_t_5;
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  const char *__pyx_filename = NULL;
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  PyGILState_STATE __pyx_gilstate_save;

  /* "cuda/core/_layout.pyx":1018
 * 
 * cdef inline bint split_strides_in_c_index_order(BaseLayout& out_layout, BaseLayout& in_layout) except -1 nogil:
 *     cdef int i = in_layout.ndim - 1             # <<<<<<<<<<<<<<
 *     cdef int new_i = out_layout.ndim - 1
 *     cdef extent_t extent
*/
  __pyx_v_i = (__pyx_v_in_layout.ndim - 1);

  /* "cuda/core/_layout.pyx":1019
 * cdef inline bint split_strides_in_c_index_order(BaseLayout& out_layout, BaseLayout& in_layout) except -1 nogil:
 *     cdef int i = in_layout.ndim - 1
 *     cdef int new_i = out_layout.ndim - 1             # <<<<<<<<<<<<<<
 *     cdef extent_t extent
 *     cdef extent_t new_extent
*/
  __pyx_v_new_i = (__pyx_v_out_layout.ndim - 1);

  /* "cuda/core/_layout.pyx":1024
 *     cdef extent_t group_vol
 *     cdef stride_t group_stride
 *     cdef extent_t* in_shape = in_layout.shape             # <<<<<<<<<<<<<<
 *     cdef stride_t* in_strides = get_strides_ptr(in_layout)
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*/
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  /* "cuda/core/_layout.pyx":1025
 *     cdef stride_t group_stride
 *     cdef extent_t* in_shape = in_layout.shape
 *     cdef stride_t* in_strides = get_strides_ptr(in_layout)             # <<<<<<<<<<<<<<
 *     if out_layout.strides == NULL:
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*/
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  /* "cuda/core/_layout.pyx":1026
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 *     cdef stride_t* in_strides = get_strides_ptr(in_layout)
 *     if out_layout.strides == NULL:             # <<<<<<<<<<<<<<
 *         _zero_strides(out_layout)
 *     while i >= 0:
*/
  __pyx_t_3 = (__pyx_v_out_layout.strides == NULL);
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    /* "cuda/core/_layout.pyx":1027
 *     cdef stride_t* in_strides = get_strides_ptr(in_layout)
 *     if out_layout.strides == NULL:
 *         _zero_strides(out_layout)             # <<<<<<<<<<<<<<
 *     while i >= 0:
 *         extent = in_shape[i]
*/
    __pyx_f_4cuda_4core_7_layout__zero_strides(__pyx_v_out_layout);

    /* "cuda/core/_layout.pyx":1026
 *     cdef extent_t* in_shape = in_layout.shape
 *     cdef stride_t* in_strides = get_strides_ptr(in_layout)
 *     if out_layout.strides == NULL:             # <<<<<<<<<<<<<<
 *         _zero_strides(out_layout)
 *     while i >= 0:
*/
  }

  /* "cuda/core/_layout.pyx":1028
 *     if out_layout.strides == NULL:
 *         _zero_strides(out_layout)
 *     while i >= 0:             # <<<<<<<<<<<<<<
 *         extent = in_shape[i]
 *         group_stride = in_strides[i]
*/
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    /* "cuda/core/_layout.pyx":1029
 *         _zero_strides(out_layout)
 *     while i >= 0:
 *         extent = in_shape[i]             # <<<<<<<<<<<<<<
 *         group_stride = in_strides[i]
 *         group_vol = 1
*/
    __pyx_v_extent = (__pyx_v_in_shape[__pyx_v_i]);

    /* "cuda/core/_layout.pyx":1030
 *     while i >= 0:
 *         extent = in_shape[i]
 *         group_stride = in_strides[i]             # <<<<<<<<<<<<<<
 *         group_vol = 1
 *         while new_i >= 0:
*/
    __pyx_v_group_stride = (__pyx_v_in_strides[__pyx_v_i]);

    /* "cuda/core/_layout.pyx":1031
 *         extent = in_shape[i]
 *         group_stride = in_strides[i]
 *         group_vol = 1             # <<<<<<<<<<<<<<
 *         while new_i >= 0:
 *             new_extent = out_layout.shape[new_i]
*/
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    /* "cuda/core/_layout.pyx":1032
 *         group_stride = in_strides[i]
 *         group_vol = 1
 *         while new_i >= 0:             # <<<<<<<<<<<<<<
 *             new_extent = out_layout.shape[new_i]
 *             if new_extent == 0:
*/
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      /* "cuda/core/_layout.pyx":1033
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 *             if new_extent == 0:
 *                 return False
*/
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      /* "cuda/core/_layout.pyx":1034
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 *             new_extent = out_layout.shape[new_i]
 *             if new_extent == 0:             # <<<<<<<<<<<<<<
 *                 return False
 *             if new_extent == 1 or group_vol < extent:
*/
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        /* "cuda/core/_layout.pyx":1035
 *             new_extent = out_layout.shape[new_i]
 *             if new_extent == 0:
 *                 return False             # <<<<<<<<<<<<<<
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*/
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        /* "cuda/core/_layout.pyx":1034
 *         while new_i >= 0:
 *             new_extent = out_layout.shape[new_i]
 *             if new_extent == 0:             # <<<<<<<<<<<<<<
 *                 return False
 *             if new_extent == 1 or group_vol < extent:
*/
      }

      /* "cuda/core/_layout.pyx":1036
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 *                 return False
 *             if new_extent == 1 or group_vol < extent:             # <<<<<<<<<<<<<<
 *                 out_layout.strides[new_i] = group_stride
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*/
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 *                 return False
 *             if new_extent == 1 or group_vol < extent:
 *                 out_layout.strides[new_i] = group_stride             # <<<<<<<<<<<<<<
 *                 group_stride = _overflow_checked_mul(group_stride, new_extent)
 *                 group_vol = _overflow_checked_mul(group_vol, new_extent)
*/
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        /* "cuda/core/_layout.pyx":1038
 *             if new_extent == 1 or group_vol < extent:
 *                 out_layout.strides[new_i] = group_stride
 *                 group_stride = _overflow_checked_mul(group_stride, new_extent)             # <<<<<<<<<<<<<<
 *                 group_vol = _overflow_checked_mul(group_vol, new_extent)
 *                 new_i -= 1
*/
        __pyx_t_5 = __pyx_f_4cuda_4core_7_layout__overflow_checked_mul(__pyx_v_group_stride, __pyx_v_new_extent); if (unlikely(__pyx_t_5 == ((int64_t)-1L) && __Pyx_ErrOccurredWithGIL())) __PYX_ERR(0, 1038, __pyx_L1_error)
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        /* "cuda/core/_layout.pyx":1039
 *                 out_layout.strides[new_i] = group_stride
 *                 group_stride = _overflow_checked_mul(group_stride, new_extent)
 *                 group_vol = _overflow_checked_mul(group_vol, new_extent)             # <<<<<<<<<<<<<<
 *                 new_i -= 1
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*/
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        /* "cuda/core/_layout.pyx":1040
 *                 group_stride = _overflow_checked_mul(group_stride, new_extent)
 *                 group_vol = _overflow_checked_mul(group_vol, new_extent)
 *                 new_i -= 1             # <<<<<<<<<<<<<<
 *             else:
 *                 break
*/
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        /* "cuda/core/_layout.pyx":1036
 *             if new_extent == 0:
 *                 return False
 *             if new_extent == 1 or group_vol < extent:             # <<<<<<<<<<<<<<
 *                 out_layout.strides[new_i] = group_stride
 *                 group_stride = _overflow_checked_mul(group_stride, new_extent)
*/
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 *                 new_i -= 1
 *             else:
 *                 break             # <<<<<<<<<<<<<<
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 *             return False
*/
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 *             else:
 *                 break
 *         if group_vol != extent:             # <<<<<<<<<<<<<<
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 *         i -= 1
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 *         if group_vol != extent:
 *             return False             # <<<<<<<<<<<<<<
 *         i -= 1
 *     return True
*/
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      /* "cuda/core/_layout.pyx":1043
 *             else:
 *                 break
 *         if group_vol != extent:             # <<<<<<<<<<<<<<
 *             return False
 *         i -= 1
*/
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    /* "cuda/core/_layout.pyx":1045
 *         if group_vol != extent:
 *             return False
 *         i -= 1             # <<<<<<<<<<<<<<
 *     return True
 * 
*/
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 * 
 * 
*/
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 * 
 * cdef inline bint split_strides_in_c_index_order(BaseLayout& out_layout, BaseLayout& in_layout) except -1 nogil:             # <<<<<<<<<<<<<<
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 * 
 * cdef inline int permute_extents(BaseLayout& out_layout, BaseLayout& in_layout, axis_vec_t& axis_order) except -1 nogil:             # <<<<<<<<<<<<<<
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 * cdef inline int permute_extents(BaseLayout& out_layout, BaseLayout& in_layout, axis_vec_t& axis_order) except -1 nogil:
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*/
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  return __pyx_pw_4cuda_4core_7_layout_14_StridedLayout_12stride_order_1__get__(o);
}

static PyObject *__pyx_getprop_4cuda_4core_7_layout_14_StridedLayout_volume(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_4cuda_4core_7_layout_14_StridedLayout_6volume_1__get__(o);
}

static PyObject *__pyx_getprop_4cuda_4core_7_layout_14_StridedLayout_is_unique(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_4cuda_4core_7_layout_14_StridedLayout_9is_unique_1__get__(o);
}

static PyObject *__pyx_getprop_4cuda_4core_7_layout_14_StridedLayout_is_contiguous_c(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_4cuda_4core_7_layout_14_StridedLayout_15is_contiguous_c_1__get__(o);
}

static PyObject *__pyx_getprop_4cuda_4core_7_layout_14_StridedLayout_is_contiguous_f(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_4cuda_4core_7_layout_14_StridedLayout_15is_contiguous_f_1__get__(o);
}

static PyObject *__pyx_getprop_4cuda_4core_7_layout_14_StridedLayout_is_contiguous_any(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_4cuda_4core_7_layout_14_StridedLayout_17is_contiguous_any_1__get__(o);
}

static PyObject *__pyx_getprop_4cuda_4core_7_layout_14_StridedLayout_is_dense(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_4cuda_4core_7_layout_14_StridedLayout_8is_dense_1__get__(o);
}

static PyObject *__pyx_getprop_4cuda_4core_7_layout_14_StridedLayout_offset_bounds(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_4cuda_4core_7_layout_14_StridedLayout_13offset_bounds_1__get__(o);
}

static PyObject *__pyx_getprop_4cuda_4core_7_layout_14_StridedLayout_min_offset(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_4cuda_4core_7_layout_14_StridedLayout_10min_offset_1__get__(o);
}

static PyObject *__pyx_getprop_4cuda_4core_7_layout_14_StridedLayout_max_offset(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_4cuda_4core_7_layout_14_StridedLayout_10max_offset_1__get__(o);
}

static PyObject *__pyx_getprop_4cuda_4core_7_layout_14_StridedLayout_slice_offset_in_bytes(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_4cuda_4core_7_layout_14_StridedLayout_21slice_offset_in_bytes_1__get__(o);
}

static PyObject *__pyx_getprop_4cuda_4core_7_layout_14_StridedLayout_itemsize(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_4cuda_4core_7_layout_14_StridedLayout_8itemsize_1__get__(o);
}

static PyObject *__pyx_getprop_4cuda_4core_7_layout_14_StridedLayout_slice_offset(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_4cuda_4core_7_layout_14_StridedLayout_12slice_offset_1__get__(o);
}

static PyMethodDef __pyx_methods_4cuda_4core_7_layout__StridedLayout[] = {
  {"dense", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_4cuda_4core_7_layout_14_StridedLayout_3dense, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_4cuda_4core_7_layout_14_StridedLayout_2dense},
  {"dense_like", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_4cuda_4core_7_layout_14_StridedLayout_5dense_like, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_4cuda_4core_7_layout_14_StridedLayout_4dense_like},
  {"required_size_in_bytes", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_4cuda_4core_7_layout_14_StridedLayout_11required_size_in_bytes, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_4cuda_4core_7_layout_14_StridedLayout_10required_size_in_bytes},
  {"flattened_axis_mask", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_4cuda_4core_7_layout_14_StridedLayout_13flattened_axis_mask, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_4cuda_4core_7_layout_14_StridedLayout_12flattened_axis_mask},
  {"to_dense", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_4cuda_4core_7_layout_14_StridedLayout_15to_dense, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_4cuda_4core_7_layout_14_StridedLayout_14to_dense},
  {"reshaped", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_4cuda_4core_7_layout_14_StridedLayout_17reshaped, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_4cuda_4core_7_layout_14_StridedLayout_16reshaped},
  {"permuted", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_4cuda_4core_7_layout_14_StridedLayout_19permuted, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_4cuda_4core_7_layout_14_StridedLayout_18permuted},
  {"flattened", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_4cuda_4core_7_layout_14_StridedLayout_21flattened, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_4cuda_4core_7_layout_14_StridedLayout_20flattened},
  {"squeezed", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_4cuda_4core_7_layout_14_StridedLayout_23squeezed, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_4cuda_4core_7_layout_14_StridedLayout_22squeezed},
  {"unsqueezed", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_4cuda_4core_7_layout_14_StridedLayout_25unsqueezed, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_4cuda_4core_7_layout_14_StridedLayout_24unsqueezed},
  {"broadcast_to", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_4cuda_4core_7_layout_14_StridedLayout_27broadcast_to, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_4cuda_4core_7_layout_14_StridedLayout_26broadcast_to},
  {"repacked", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_4cuda_4core_7_layout_14_StridedLayout_29repacked, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_4cuda_4core_7_layout_14_StridedLayout_28repacked},
  {"max_compatible_itemsize", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_4cuda_4core_7_layout_14_StridedLayout_31max_compatible_itemsize, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_4cuda_4core_7_layout_14_StridedLayout_30max_compatible_itemsize},
  {"sliced", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_4cuda_4core_7_layout_14_StridedLayout_33sliced, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_4cuda_4core_7_layout_14_StridedLayout_32sliced},
  {"__reduce_cython__", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_4cuda_4core_7_layout_14_StridedLayout_37__reduce_cython__, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_4cuda_4core_7_layout_14_StridedLayout_36__reduce_cython__},
  {"__setstate_cython__", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_4cuda_4core_7_layout_14_StridedLayout_39__setstate_cython__, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_4cuda_4core_7_layout_14_StridedLayout_38__setstate_cython__},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_4cuda_4core_7_layout__StridedLayout[] = {
  {"ndim", __pyx_getprop_4cuda_4core_7_layout_14_StridedLayout_ndim, 0, PyDoc_STR("\n        The number of dimensions (length of the shape tuple).\n\n        :type: int\n        "), 0},
  {"shape", __pyx_getprop_4cuda_4core_7_layout_14_StridedLayout_shape, 0, PyDoc_STR("\n        Shape of the tensor.\n\n        :type: tuple[int]\n        "), 0},
  {"strides", __pyx_getprop_4cuda_4core_7_layout_14_StridedLayout_strides, 0, PyDoc_STR("\n        Strides of the tensor (in **counts**, not bytes).\n        If _StridedLayout was created with strides=None, the\n        returned value is None and layout is implicitly C-contiguous.\n\n        :type: tuple[int] | None\n        "), 0},
  {"strides_in_bytes", __pyx_getprop_4cuda_4core_7_layout_14_StridedLayout_strides_in_bytes, 0, PyDoc_STR("\n        Strides of the tensor (in bytes).\n\n        :type: tuple[int] | None\n        "), 0},
  {"stride_order", __pyx_getprop_4cuda_4core_7_layout_14_StridedLayout_stride_order, 0, PyDoc_STR("\n        A permutation of ``tuple(range(ndim))`` describing the\n        relative order of the strides.\n\n        .. highlight:: python\n        .. code-block:: python\n\n            # C-contiguous layout\n            assert _StridedLayout.dense((5, 3, 7), 1).stride_order == (0, 1, 2)\n            # F-contiguous layout\n            assert _StridedLayout.dense((5, 3, 7), 1, stride_order=\"F\").stride_order == (2, 1, 0)\n            # Permuted layout\n            assert _StridedLayout.dense((5, 3, 7), 1, stride_order=(2, 0, 1)).stride_order == (2, 0, 1)\n\n        :type: tuple[int]\n        "), 0},
  {"volume", __pyx_getprop_4cuda_4core_7_layout_14_StridedLayout_volume, 0, PyDoc_STR("\n        The number of elements in the tensor, i.e. the product of the shape tuple.\n\n        :type: int\n        "), 0},
  {"is_unique", __pyx_getprop_4cuda_4core_7_layout_14_StridedLayout_is_unique, 0, PyDoc_STR("\n        If True, each element of a tensor with this layout is mapped to\n        a unique memory offset.\n\n        All contiguous layouts are unique and so are layouts that can be created\n        by permuting, slicing, flattening, squeezing, repacking, or reshaping\n        a contiguous layout.\n        Conversely, broadcast layouts (layouts with a 0 stride\n        for some extent greater than 1) are not unique.\n\n        For layouts resulting from manual stride manipulations\n        (such as with ``numpy.lib.stride_tricks``), the check\n        may inaccurately report False, as the exact uniqueness\n        check may be expensive.\n\n        :type: bool\n        "), 0},
  {"is_contiguous_c", __pyx_getprop_4cuda_4core_7_layout_14_StridedLayout_is_contiguous_c, 0, PyDoc_STR("\n        True iff the layout is contiguous in C-order, i.e.\n        the rightmost stride is 1 and each subsequent\n        stride to the left is the product of the\n        extent and the stride to the right.\n\n        .. highlight:: python\n        .. code-block:: python\n\n            layout = _StridedLayout.dense((2, 5, 3), 1, \"C\")\n            assert layout == _StridedLayout((2, 5, 3), (15, 3, 1), 1)\n            assert layout.is_contiguous_c\n\n        See also :attr:`is_contiguous_any`.\n\n        :type: bool\n        "), 0},
  {"is_contiguous_f", __pyx_getprop_4cuda_4core_7_layout_14_StridedLayout_is_contiguous_f, 0, PyDoc_STR("\n        True iff the layout is contiguous in F-order, i.e.\n        the leftmost stride is 1 and each subsequent\n        stride to the right is the product of the\n        stride and extent to the left.\n\n        .. highlight:: python\n        .. code-block:: python\n\n            layout = _StridedLayout.dense((2, 5, 3), 1, \"F\")\n            assert layout == _StridedLayout((2, 5, 3), (1, 2, 10), 1)\n            assert layout.is_contiguous_f\n\n        See also :attr:`is_contiguous_any`.\n\n        :type: bool\n        "), 0},
  {"is_contiguous_any", __pyx_getprop_4cuda_4core_7_layout_14_StridedLayout_is_contiguous_any, 0, PyDoc_STR("\n        True iff the layout is contiguous in some axis order, i.e.\n        there exists a permutation of axes such that the layout\n        is C-contiguous.\n\n        In a contiguous layout, the strides are non-negative and\n        the mapping of elements to the memory offset range\n        ``[min_offset, max_offset]`` is 1-to-1.\n\n        .. highlight:: python\n        .. code-block:: python\n\n            # dense defaults to C-contiguous\n            layout = _StridedLayout.dense((5, 3, 7), 1)\n            assert layout.is_contiguous_c and not layout.is_contiguous_f\n            assert layout.is_contiguous_any\n\n            # reversing the order of axes gives F-contiguous layout\n            permuted = layout.permuted((2, 1, 0))\n            assert not permuted.is_contiguous_c and permuted.is_contiguous_f\n            assert permuted.is_contiguous_any\n\n            # neither C- nor F-order but still contiguous\n            permuted = layout.permuted((2, 0, 1))\n            assert not permuted.is_contiguous_c and not permuted.is_contiguous_f\n            assert permuted.is_contiguous_any\n\n            # slicing the right-most extent creates a gap in the\n            # offset_bounds range that is not reachable with any\n            # element in the sliced layout\n            sliced = layout[:, :, :-1]\n            assert not sliced.is_contiguous_c and not sliced.is_contiguous_f\n            assert not sliced.is_contiguous_any\n\n        :type: bool\n        "), 0},
  {"is_dense", __pyx_getprop_4cuda_4core_7_layout_14_StridedLayout_is_dense, 0, PyDoc_STR("\n        A dense layout is contiguous (:attr:`is_contiguous_any` is True)\n        and has no slice offset (:attr:`slice_offset_in_bytes` is 0).\n\n        In a dense layout, elements are mapped 1-to-1 to the ``[0, volume - 1]``\n        memory offset range.\n\n        :type: bool\n        "), 0},
  {"offset_bounds", __pyx_getprop_4cuda_4core_7_layout_14_StridedLayout_offset_bounds, 0, PyDoc_STR("\n        The memory offset range ``[min_offset, max_offset]`` (in element counts, not bytes)\n        that elements of a tensor with this layout are mapped to.\n\n        If the layout is empty (i.e. ``volume == 0``), the returned tuple is ``(0, -1)``.\n        Otherwise, ``min_offset <= max_offset`` and all elements of the tensor with\n        this layout are mapped within the ``[min_offset, max_offset]`` range.\n\n        .. highlight:: python\n        .. code-block:: python\n\n            # Possible implementation of the offset_bounds\n            def offset_bounds(layout : _StridedLayout):\n                if layout.volume == 0:\n                    return 0, -1\n                ndim = layout.ndim\n                shape = layout.shape\n                strides = layout.strides\n                idx_min = [shape[i] - 1 if strides[i] < 0 else 0 for i in range(ndim)]\n                idx_max = [shape[i] - 1 if strides[i] > 0 else 0 for i in range(ndim)]\n                min_offset = sum(strides[i] * idx_min[i] for i in range(ndim)) + layout.slice_offset\n                max_offset = sum(strides[i] * idx_max[i] for i in range(ndim)) + layout.slice_offset\n                return min_offset, max_offset\n\n        :type: tuple[int, int]\n        "), 0},
  {"min_offset", __pyx_getprop_4cuda_4core_7_layout_14_StridedLayout_min_offset, 0, PyDoc_STR("\n        See :attr:`offset_bounds` for details.\n\n        :type: int\n        "), 0},
  {"max_offset", __pyx_getprop_4cuda_4core_7_layout_14_StridedLayout_max_offset, 0, PyDoc_STR("\n        See :attr:`offset_bounds` for details.\n\n        :type: int\n        "), 0},
  {"slice_offset_in_bytes", __pyx_getprop_4cuda_4core_7_layout_14_StridedLayout_slice_offset_in_bytes, 0, PyDoc_STR("\n        The memory offset (as a number of bytes) of the element at index ``(0,) * ndim``.\n        Equal to :attr:`itemsize` ``*`` :attr:`slice_offset`.\n\n        .. note::\n            The only way for the index ``(0,) * ndim`` to be mapped to a non-zero offset\n            is slicing with :meth:`sliced` method (or ``[]`` operator).\n\n        :type: int\n        "), 0},
  {"itemsize", __pyx_getprop_4cuda_4core_7_layout_14_StridedLayout_itemsize, 0, 0, 0},
  {"slice_offset", __pyx_getprop_4cuda_4core_7_layout_14_StridedLayout_slice_offset, 0, 0, 0},
  {0, 0, 0, 0, 0}
};
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_type_4cuda_4core_7_layout__StridedLayout_slots[] = {
  {Py_tp_dealloc, (void *)__pyx_tp_dealloc_4cuda_4core_7_layout__StridedLayout},
  {Py_tp_repr, (void *)__pyx_pw_4cuda_4core_7_layout_14_StridedLayout_7__repr__},
  {Py_sq_item, (void *)__pyx_sq_item_4cuda_4core_7_layout__StridedLayout},
  {Py_mp_subscript, (void *)__pyx_pw_4cuda_4core_7_layout_14_StridedLayout_35__getitem__},
  {Py_tp_doc, (void *)PyDoc_STR("_StridedLayout(tuple shape: tuple[int, ...], tuple strides: tuple[int, ...] | None, int itemsize: int, bool divide_strides: bool = False) -> None\n\nA class describing the layout of a multi-dimensional tensor\nwith a shape, strides and itemsize.\n\nParameters\n----------\nshape : tuple\n    A tuple of non-negative integers.\nstrides : tuple, optional\n    If provided, must be a tuple of integers of the same length as ``shape``.\n    Otherwise, the strides are assumed to be implicitly C-contiguous and the resulting\n    layout's :attr:`strides` will be None.\nitemsize : int\n    The number of bytes per single element (dtype size).\ndivide_strides : bool, optional\n    If True, the provided :attr:`strides` will be divided by the :attr:`itemsize`.\n\n\nSee also :meth:`dense`.\n\n\nAttributes\n----------\nitemsize : int\n    The number of bytes per single element (dtype size).\nslice_offset : int\n    The offset (as a number of elements, not bytes) of the element at\n    index ``(0,) * ndim``. See also :attr:`slice_offset_in_bytes`.")},
  {Py_tp_traverse, (void *)__pyx_tp_traverse_4cuda_4core_7_layout__StridedLayout},
  {Py_tp_clear, (void *)__pyx_tp_clear_4cuda_4core_7_layout__StridedLayout},
  {Py_tp_richcompare, (void *)__pyx_tp_richcompare_4cuda_4core_7_layout__StridedLayout},
  {Py_tp_methods, (void *)__pyx_methods_4cuda_4core_7_layout__StridedLayout},
  {Py_tp_getset, (void *)__pyx_getsets_4cuda_4core_7_layout__StridedLayout},
  {Py_tp_init, (void *)__pyx_pw_4cuda_4core_7_layout_14_StridedLayout_1__init__},
  {Py_tp_new, (void *)__pyx_tp_new_4cuda_4core_7_layout__StridedLayout},
  {0, 0},
};
static PyType_Spec __pyx_type_4cuda_4core_7_layout__StridedLayout_spec = {
  "cuda.core._layout._StridedLayout",
  sizeof(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout),
  0,
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC,
  __pyx_type_4cuda_4core_7_layout__StridedLayout_slots,
};
#else

static PySequenceMethods __pyx_tp_as_sequence__StridedLayout = {
  0, /*sq_length*/
  0, /*sq_concat*/
  0, /*sq_repeat*/
  __pyx_sq_item_4cuda_4core_7_layout__StridedLayout, /*sq_item*/
  0, /*sq_slice*/
  0, /*sq_ass_item*/
  0, /*sq_ass_slice*/
  0, /*sq_contains*/
  0, /*sq_inplace_concat*/
  0, /*sq_inplace_repeat*/
};

static PyMappingMethods __pyx_tp_as_mapping__StridedLayout = {
  0, /*mp_length*/
  __pyx_pw_4cuda_4core_7_layout_14_StridedLayout_35__getitem__, /*mp_subscript*/
  0, /*mp_ass_subscript*/
};

static PyTypeObject __pyx_type_4cuda_4core_7_layout__StridedLayout = {
  PyVarObject_HEAD_INIT(0, 0)
  "cuda.core._layout.""_StridedLayout", /*tp_name*/
  sizeof(struct __pyx_obj_4cuda_4core_7_layout__StridedLayout), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_4cuda_4core_7_layout__StridedLayout, /*tp_dealloc*/
  0, /*tp_vectorcall_offset*/
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  0, /*tp_as_async*/
  __pyx_pw_4cuda_4core_7_layout_14_StridedLayout_7__repr__, /*tp_repr*/
  0, /*tp_as_number*/
  &__pyx_tp_as_sequence__StridedLayout, /*tp_as_sequence*/
  &__pyx_tp_as_mapping__StridedLayout, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  PyDoc_STR("_StridedLayout(tuple shape: tuple[int, ...], tuple strides: tuple[int, ...] | None, int itemsize: int, bool divide_strides: bool = False) -> None\n\nA class describing the layout of a multi-dimensional tensor\nwith a shape, strides and itemsize.\n\nParameters\n----------\nshape : tuple\n    A tuple of non-negative integers.\nstrides : tuple, optional\n    If provided, must be a tuple of integers of the same length as ``shape``.\n    Otherwise, the strides are assumed to be implicitly C-contiguous and the resulting\n    layout's :attr:`strides` will be None.\nitemsize : int\n    The number of bytes per single element (dtype size).\ndivide_strides : bool, optional\n    If True, the provided :attr:`strides` will be divided by the :attr:`itemsize`.\n\n\nSee also :meth:`dense`.\n\n\nAttributes\n----------\nitemsize : int\n    The number of bytes per single element (dtype size).\nslice_offset : int\n    The offset (as a number of elements, not bytes) of the element at\n    index ``(0,) * ndim``. See also :attr:`slice_offset_in_bytes`."), /*tp_doc*/
  __pyx_tp_traverse_4cuda_4core_7_layout__StridedLayout, /*tp_traverse*/
  __pyx_tp_clear_4cuda_4core_7_layout__StridedLayout, /*tp_clear*/
  __pyx_tp_richcompare_4cuda_4core_7_layout__StridedLayout, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_4cuda_4core_7_layout__StridedLayout, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_4cuda_4core_7_layout__StridedLayout, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  #if !CYTHON_USE_TYPE_SPECS
  0, /*tp_dictoffset*/
  #endif
  __pyx_pw_4cuda_4core_7_layout_14_StridedLayout_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_4cuda_4core_7_layout__StridedLayout, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if CYTHON_USE_TP_FINALIZE
  0, /*tp_finalize*/
  #else
  NULL, /*tp_finalize*/
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const char* const bytes = ".Allocation size for a layout that maps elements to negative memory offsets is ambiguous. The layout's min_offset is Axis Cannot trim layout to D tensorD tensor.. Expected slice instance or integer.Extents must be non-negativeInvalid axis: Invalid end axis: Invalid index: Invalid permutation: axis Invalid slice: Invalid start axis: Invalid stride order: axis Layout strides are incompatible with the new shape. Max supported ndim is Note that Cython is deliberately stricter than PEP-484 and rejects subclasses of builtin types. If you need to pass subclasses then set the 'annotation_typing' directive to False.Permutation must have the same length as the number of dimensions, got Shapes cannot be broadcast together: the original extent must be 1 or be equal to broadcast extent, got _StridedLayout(shape=Strides, if provided, must have the same length as shape. Shape has The The -1 extent is ambiguous when the specified sub-volume is 0The axis The broadcast shape ndim (The data pointer (The number of slices (The original volume The slice offset (The stride_order must be 'C', 'F', or a permutation.The stride_order must be 'C', 'F', or a permutation tuple. Got: The stride_order must be 'K', 'C', 'F', or a permutation tuple. Got: The stride order must be a permutation. 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/* #### Code section: init_codeobjects ### */
typedef struct {
    unsigned int argcount : 3;
    unsigned int num_posonly_args : 1;
    unsigned int num_kwonly_args : 1;
    unsigned int nlocals : 3;
    unsigned int flags : 10;
    unsigned int first_line : 10;
} __Pyx_PyCode_New_function_description;
/* NewCodeObj.proto */
static PyObject* __Pyx_PyCode_New(
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        PyObject *filename,
        PyObject *funcname,
        PyObject *line_table,
        PyObject *tuple_dedup_map
);


static int __Pyx_CreateCodeObjects(__pyx_mstatetype *__pyx_mstate) {
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    __pyx_mstate_global->__pyx_codeobj_tab[0] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_cuda_core__layout_pyx, __pyx_mstate->__pyx_n_u_dense, __pyx_mstate->__pyx_kp_b_iso88591_A_8_xq_q, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[0])) goto bad;
  }
  {
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    __pyx_mstate_global->__pyx_codeobj_tab[1] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_cuda_core__layout_pyx, __pyx_mstate->__pyx_n_u_dense_like, __pyx_mstate->__pyx_kp_b_iso88591_A_J_U_q_1_q_q_1_Q_Q_j_34A_Cq_9D, 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), 436};
    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_cuda_core__layout_pyx, __pyx_mstate->__pyx_n_u_required_size_in_bytes, __pyx_mstate->__pyx_kp_b_iso88591_9_t_a, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[2])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 470};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self};
    __pyx_mstate_global->__pyx_codeobj_tab[3] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_cuda_core__layout_pyx, __pyx_mstate->__pyx_n_u_flattened_axis_mask, __pyx_mstate->__pyx_kp_b_iso88591_6a_t_1, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[3])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 2, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 477};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_stride_order};
    __pyx_mstate_global->__pyx_codeobj_tab[4] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_cuda_core__layout_pyx, __pyx_mstate->__pyx_n_u_to_dense, __pyx_mstate->__pyx_kp_b_iso88591_HA_q, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[4])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 5, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 486};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_shape, __pyx_mstate->__pyx_n_u_new_layout, __pyx_mstate->__pyx_n_u_new_shape, __pyx_mstate->__pyx_n_u_i};
    __pyx_mstate_global->__pyx_codeobj_tab[5] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_cuda_core__layout_pyx, __pyx_mstate->__pyx_n_u_reshaped, __pyx_mstate->__pyx_kp_b_iso88591_0_q_xq_Cq_E_as_1_V1E_aq_M_a_q, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[5])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 4, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 516};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_axis_order, __pyx_mstate->__pyx_n_u_new_layout, __pyx_mstate->__pyx_n_u_axis_order_vec};
    __pyx_mstate_global->__pyx_codeobj_tab[6] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_cuda_core__layout_pyx, __pyx_mstate->__pyx_n_u_permuted, __pyx_mstate->__pyx_kp_b_iso88591_5_A_xq_q_M_a_q, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[6])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {4, 0, 0, 6, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 527};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_start_axis, __pyx_mstate->__pyx_n_u_end_axis, __pyx_mstate->__pyx_n_u_mask, __pyx_mstate->__pyx_n_u_new_layout, __pyx_mstate->__pyx_n_u_axis_mask};
    __pyx_mstate_global->__pyx_codeobj_tab[7] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_cuda_core__layout_pyx, __pyx_mstate->__pyx_n_u_flattened, __pyx_mstate->__pyx_kp_b_iso88591_6fN_Q_hhqqrV_xq_5_1_AT_A_M_a_q, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[7])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 2, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 579};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_new_layout};
    __pyx_mstate_global->__pyx_codeobj_tab[8] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_cuda_core__layout_pyx, __pyx_mstate->__pyx_n_u_squeezed, __pyx_mstate->__pyx_kp_b_iso88591_1_xq_M_q, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[8])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 4, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 590};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_axis, __pyx_mstate->__pyx_n_u_axis_vec, __pyx_mstate->__pyx_n_u_new_layout};
    __pyx_mstate_global->__pyx_codeobj_tab[9] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_cuda_core__layout_pyx, __pyx_mstate->__pyx_n_u_unsqueezed, __pyx_mstate->__pyx_kp_b_iso88591_11Fa_QfA_Jaq_1Ja_85_3a_1_xq_O1L, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[9])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 6, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 607};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_shape, __pyx_mstate->__pyx_n_u_new_layout, __pyx_mstate->__pyx_n_u_new_shape, __pyx_mstate->__pyx_n_u_new_ndim, __pyx_mstate->__pyx_n_u_i};
    __pyx_mstate_global->__pyx_codeobj_tab[10] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_cuda_core__layout_pyx, __pyx_mstate->__pyx_n_u_broadcast_to, __pyx_mstate->__pyx_kp_b_iso88591_4O1_xq_Cq_A_E_aq_V1E_aq_O1L_q, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[10])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {5, 0, 0, 6, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 629};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_itemsize, __pyx_mstate->__pyx_n_u_data_ptr, __pyx_mstate->__pyx_n_u_axis, __pyx_mstate->__pyx_n_u_keep_dim, __pyx_mstate->__pyx_n_u_new_layout};
    __pyx_mstate_global->__pyx_codeobj_tab[11] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_cuda_core__layout_pyx, __pyx_mstate->__pyx_n_u_repacked, __pyx_mstate->__pyx_kp_b_iso88591_33C_jX__mmtt_h_9Ct1_1_xq_9Bd_z, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[11])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {4, 0, 0, 4, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 690};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_max_itemsize, __pyx_mstate->__pyx_n_u_data_ptr, __pyx_mstate->__pyx_n_u_axis};
    __pyx_mstate_global->__pyx_codeobj_tab[12] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_cuda_core__layout_pyx, __pyx_mstate->__pyx_n_u_max_compatible_itemsize, __pyx_mstate->__pyx_kp_b_iso88591_FfO_ffppww_t_q_j, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[12])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 3, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 697};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_slices, __pyx_mstate->__pyx_n_u_new_layout};
    __pyx_mstate_global->__pyx_codeobj_tab[13] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_cuda_core__layout_pyx, __pyx_mstate->__pyx_n_u_sliced, __pyx_mstate->__pyx_kp_b_iso88591_TTU_4z_a_xq_Kq_A_q, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[13])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self};
    __pyx_mstate_global->__pyx_codeobj_tab[14] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_tree_fragment, __pyx_mstate->__pyx_n_u_reduce_cython, __pyx_mstate->__pyx_kp_b_iso88591_Q, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[14])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 2, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 3};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_pyx_state};
    __pyx_mstate_global->__pyx_codeobj_tab[15] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_tree_fragment, __pyx_mstate->__pyx_n_u_setstate_cython, __pyx_mstate->__pyx_kp_b_iso88591_Q, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[15])) goto bad;
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static int __Pyx_InitGlobals(void) {
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  if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1, __pyx_L1_error)

  /* AssertionsEnabled.init */
  if (likely(__Pyx_init_assertions_enabled() == 0)); else
  
  if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1, __pyx_L1_error)

  /* CommonTypesMetaclass.init */
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  if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1, __pyx_L1_error)

  /* CachedMethodType.init */
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  {
      PyObject *typesModule=NULL;
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          __pyx_mstate_global->__Pyx_CachedMethodType = PyObject_GetAttrString(typesModule, "MethodType");
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  if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1, __pyx_L1_error)

  /* CythonFunctionShared.init */
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  if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1, __pyx_L1_error)

  /* Common.init */
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  /* SizeCheck.init */
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  if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1, __pyx_L1_error)

  return 0;
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/* #### Code section: cleanup_globals ### */
/* #### Code section: cleanup_module ### */
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#pragma warning( push )
/* Warning 4127: conditional expression is constant
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static __Pyx_RefNannyAPIStruct *__Pyx_RefNannyImportAPI(const char *modname) {
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static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    PyObject *result;
    ternaryfunc call = Py_TYPE(func)->tp_call;
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        return PyObject_Call(func, arg, kw);
    if (unlikely(Py_EnterRecursiveCall(" while calling a Python object")))
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    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
        PyErr_SetString(
            PyExc_SystemError,
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/* 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);
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    if (unlikely(Py_EnterRecursiveCall(" while calling a Python object")))
        return NULL;
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    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
        PyErr_SetString(
            PyExc_SystemError,
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}
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/* 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;
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    Py_DECREF(argstuple);
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#if CYTHON_VECTORCALL && !CYTHON_COMPILING_IN_LIMITED_API
  #if PY_VERSION_HEX < 0x03090000
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static CYTHON_INLINE vectorcallfunc __Pyx_PyVectorcall_Function(PyObject *callable) {
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}
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    #define __Pyx_PyVectorcall_Function(callable) PyVectorcall_Function(callable)
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#endif
static CYTHON_INLINE PyObject* __Pyx_PyObject_FastCallDict(PyObject *func, PyObject *const *args, size_t _nargs, PyObject *kwargs) {
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#if CYTHON_COMPILING_IN_CPYTHON
    if (nargs == 0 && kwargs == NULL) {
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        if (__Pyx_CyOrPyCFunction_Check(func) && likely( __Pyx_CyOrPyCFunction_GET_FLAGS(func) & METH_O))
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#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) {
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    #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);
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}

/* PyErrFetchRestore (used by RaiseException) */
#if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
#if PY_VERSION_HEX >= 0x030C00A6
    PyObject *tmp_value;
    assert(type == NULL || (value != NULL && type == (PyObject*) Py_TYPE(value)));
    if (value) {
        #if CYTHON_COMPILING_IN_CPYTHON
        if (unlikely(((PyBaseExceptionObject*) value)->traceback != tb))
        #endif
            PyException_SetTraceback(value, tb);
    }
    tmp_value = tstate->current_exception;
    tstate->current_exception = value;
    Py_XDECREF(tmp_value);
    Py_XDECREF(type);
    Py_XDECREF(tb);
#else
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    tmp_type = tstate->curexc_type;
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    tmp_tb = tstate->curexc_traceback;
    tstate->curexc_type = type;
    tstate->curexc_value = value;
    tstate->curexc_traceback = tb;
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    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
#endif
}
static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
#if PY_VERSION_HEX >= 0x030C00A6
    PyObject* exc_value;
    exc_value = tstate->current_exception;
    tstate->current_exception = 0;
    *value = exc_value;
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    *tb = NULL;
    if (exc_value) {
        *type = (PyObject*) Py_TYPE(exc_value);
        Py_INCREF(*type);
        #if CYTHON_COMPILING_IN_CPYTHON
        *tb = ((PyBaseExceptionObject*) exc_value)->traceback;
        Py_XINCREF(*tb);
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        *tb = PyException_GetTraceback(exc_value);
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    *type = tstate->curexc_type;
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}
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/* RaiseException */
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {
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        tb = 0;
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        PyErr_SetString(PyExc_TypeError,
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        if (value) {
            PyErr_SetString(PyExc_TypeError,
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                int is_subclass = PyObject_IsSubclass(instance_class, type);
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                    instance_class = NULL;
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                    type = instance_class;
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            value = owned_instance;
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                PyErr_Format(PyExc_TypeError,
                             "calling %R should have returned an instance of "
                             "BaseException, not %R",
                             type, Py_TYPE(value));
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            }
        }
    } else {
        PyErr_SetString(PyExc_TypeError,
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    if (cause) {
        PyObject *fixed_cause;
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        } else {
            PyErr_SetString(PyExc_TypeError,
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                            "BaseException");
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    PyErr_SetObject(type, value);
    if (tb) {
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        PyException_SetTraceback(value, tb);
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        PyThreadState *tstate = __Pyx_PyThreadState_Current;
        PyObject* tmp_tb = tstate->curexc_traceback;
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            Py_INCREF(tb);
            tstate->curexc_traceback = tb;
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        PyObject *tmp_type, *tmp_value, *tmp_tb;
        PyErr_Fetch(&tmp_type, &tmp_value, &tmp_tb);
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bad:
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    "30313233343536373839"
    "40414243444546474849"
    "50515253545556575859"
    "60616263646566676869"
    "70717273747576777879"
    "80818283848586878889"
    "90919293949596979899"
};
static const char DIGIT_PAIRS_8[2*8*8+1] = {
    "0001020304050607"
    "1011121314151617"
    "2021222324252627"
    "3031323334353637"
    "4041424344454647"
    "5051525354555657"
    "6061626364656667"
    "7071727374757677"
};
static const char DIGITS_HEX[2*16+1] = {
    "0123456789abcdef"
    "0123456789ABCDEF"
};

/* BuildPyUnicode (used by COrdinalToPyUnicode) */
static PyObject* __Pyx_PyUnicode_BuildFromAscii(Py_ssize_t ulength, const char* chars, int clength,
                                                int prepend_sign, char padding_char) {
    PyObject *uval;
    Py_ssize_t uoffset = ulength - clength;
#if CYTHON_USE_UNICODE_INTERNALS
    Py_ssize_t i;
    void *udata;
    uval = PyUnicode_New(ulength, 127);
    if (unlikely(!uval)) return NULL;
    udata = PyUnicode_DATA(uval);
    if (uoffset > 0) {
        i = 0;
        if (prepend_sign) {
            __Pyx_PyUnicode_WRITE(PyUnicode_1BYTE_KIND, udata, 0, '-');
            i++;
        }
        for (; i < uoffset; i++) {
            __Pyx_PyUnicode_WRITE(PyUnicode_1BYTE_KIND, udata, i, padding_char);
        }
    }
    for (i=0; i < clength; i++) {
        __Pyx_PyUnicode_WRITE(PyUnicode_1BYTE_KIND, udata, uoffset+i, chars[i]);
    }
#else
    {
        PyObject *sign = NULL, *padding = NULL;
        uval = NULL;
        if (uoffset > 0) {
            prepend_sign = !!prepend_sign;
            if (uoffset > prepend_sign) {
                padding = PyUnicode_FromOrdinal(padding_char);
                if (likely(padding) && uoffset > prepend_sign + 1) {
                    PyObject *tmp = PySequence_Repeat(padding, uoffset - prepend_sign);
                    Py_DECREF(padding);
                    padding = tmp;
                }
                if (unlikely(!padding)) goto done_or_error;
            }
            if (prepend_sign) {
                sign = PyUnicode_FromOrdinal('-');
                if (unlikely(!sign)) goto done_or_error;
            }
        }
        uval = PyUnicode_DecodeASCII(chars, clength, NULL);
        if (likely(uval) && padding) {
            PyObject *tmp = PyUnicode_Concat(padding, uval);
            Py_DECREF(uval);
            uval = tmp;
        }
        if (likely(uval) && sign) {
            PyObject *tmp = PyUnicode_Concat(sign, uval);
            Py_DECREF(uval);
            uval = tmp;
        }
done_or_error:
        Py_XDECREF(padding);
        Py_XDECREF(sign);
    }
#endif
    return uval;
}

/* COrdinalToPyUnicode (used by CIntToPyUnicode) */
static CYTHON_INLINE int __Pyx_CheckUnicodeValue(int value) {
    return value <= 1114111;
}
static PyObject* __Pyx_PyUnicode_FromOrdinal_Padded(int value, Py_ssize_t ulength, char padding_char) {
    Py_ssize_t padding_length = ulength - 1;
    if (likely((padding_length <= 250) && (value < 0xD800 || value > 0xDFFF))) {
        char chars[256];
        if (value <= 255) {
            memset(chars, padding_char, (size_t) padding_length);
            chars[ulength-1] = (char) value;
            return PyUnicode_DecodeLatin1(chars, ulength, NULL);
        }
        char *cpos = chars + sizeof(chars);
        if (value < 0x800) {
            *--cpos = (char) (0x80 | (value & 0x3f));
            value >>= 6;
            *--cpos = (char) (0xc0 | (value & 0x1f));
        } else if (value < 0x10000) {
            *--cpos = (char) (0x80 | (value & 0x3f));
            value >>= 6;
            *--cpos = (char) (0x80 | (value & 0x3f));
            value >>= 6;
            *--cpos = (char) (0xe0 | (value & 0x0f));
        } else {
            *--cpos = (char) (0x80 | (value & 0x3f));
            value >>= 6;
            *--cpos = (char) (0x80 | (value & 0x3f));
            value >>= 6;
            *--cpos = (char) (0x80 | (value & 0x3f));
            value >>= 6;
            *--cpos = (char) (0xf0 | (value & 0x07));
        }
        cpos -= padding_length;
        memset(cpos, padding_char, (size_t) padding_length);
        return PyUnicode_DecodeUTF8(cpos, chars + sizeof(chars) - cpos, NULL);
    }
    if (value <= 127 && CYTHON_USE_UNICODE_INTERNALS) {
        const char chars[1] = {(char) value};
        return __Pyx_PyUnicode_BuildFromAscii(ulength, chars, 1, 0, padding_char);
    }
    {
        PyObject *uchar, *padding_uchar, *padding, *result;
        padding_uchar = PyUnicode_FromOrdinal(padding_char);
        if (unlikely(!padding_uchar)) return NULL;
        padding = PySequence_Repeat(padding_uchar, padding_length);
        Py_DECREF(padding_uchar);
        if (unlikely(!padding)) return NULL;
        uchar = PyUnicode_FromOrdinal(value);
        if (unlikely(!uchar)) {
            Py_DECREF(padding);
            return NULL;
        }
        result = PyUnicode_Concat(padding, uchar);
        Py_DECREF(padding);
        Py_DECREF(uchar);
        return result;
    }
}

/* CIntToPyUnicode */
static CYTHON_INLINE PyObject* __Pyx_uchar___Pyx_PyUnicode_From_int64_t(int64_t value, Py_ssize_t width, char padding_char) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const int64_t neg_one = (int64_t) -1, const_zero = (int64_t) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (unlikely(!(is_unsigned || value == 0 || value > 0) ||
                    !(sizeof(value) <= 2 || value & ~ (int64_t) 0x01fffff || __Pyx_CheckUnicodeValue((int) value)))) {
        PyErr_SetString(PyExc_OverflowError, "%c arg not in range(0x110000)");
        return NULL;
    }
    if (width <= 1) {
        return PyUnicode_FromOrdinal((int) value);
    }
    return __Pyx_PyUnicode_FromOrdinal_Padded((int) value, width, padding_char);
}
static CYTHON_INLINE PyObject* __Pyx____Pyx_PyUnicode_From_int64_t(int64_t value, Py_ssize_t width, char padding_char, char format_char) {
    char digits[sizeof(int64_t)*3+2];
    char *dpos, *end = digits + sizeof(int64_t)*3+2;
    const char *hex_digits = DIGITS_HEX;
    Py_ssize_t length, ulength;
    int prepend_sign, last_one_off;
    int64_t remaining;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const int64_t neg_one = (int64_t) -1, const_zero = (int64_t) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (format_char == 'X') {
        hex_digits += 16;
        format_char = 'x';
    }
    remaining = value;
    last_one_off = 0;
    dpos = end;
    do {
        int digit_pos;
        switch (format_char) {
        case 'o':
            digit_pos = abs((int)(remaining % (8*8)));
            remaining = (int64_t) (remaining / (8*8));
            dpos -= 2;
            memcpy(dpos, DIGIT_PAIRS_8 + digit_pos * 2, 2);
            last_one_off = (digit_pos < 8);
            break;
        case 'd':
            digit_pos = abs((int)(remaining % (10*10)));
            remaining = (int64_t) (remaining / (10*10));
            dpos -= 2;
            memcpy(dpos, DIGIT_PAIRS_10 + digit_pos * 2, 2);
            last_one_off = (digit_pos < 10);
            break;
        case 'x':
            *(--dpos) = hex_digits[abs((int)(remaining % 16))];
            remaining = (int64_t) (remaining / 16);
            break;
        default:
            assert(0);
            break;
        }
    } while (unlikely(remaining != 0));
    assert(!last_one_off || *dpos == '0');
    dpos += last_one_off;
    length = end - dpos;
    ulength = length;
    prepend_sign = 0;
    if (!is_unsigned && value <= neg_one) {
        if (padding_char == ' ' || width <= length + 1) {
            *(--dpos) = '-';
            ++length;
        } else {
            prepend_sign = 1;
        }
        ++ulength;
    }
    if (width > ulength) {
        ulength = width;
    }
    if (ulength == 1) {
        return PyUnicode_FromOrdinal(*dpos);
    }
    return __Pyx_PyUnicode_BuildFromAscii(ulength, dpos, (int) length, prepend_sign, padding_char);
}

/* 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
}

/* CIntToPyUnicode */
static CYTHON_INLINE PyObject* __Pyx_uchar___Pyx_PyUnicode_From_int(int value, Py_ssize_t width, char padding_char) {
#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(!(is_unsigned || value == 0 || value > 0) ||
                    !(sizeof(value) <= 2 || value & ~ (int) 0x01fffff || __Pyx_CheckUnicodeValue((int) value)))) {
        PyErr_SetString(PyExc_OverflowError, "%c arg not in range(0x110000)");
        return NULL;
    }
    if (width <= 1) {
        return PyUnicode_FromOrdinal((int) value);
    }
    return __Pyx_PyUnicode_FromOrdinal_Padded((int) value, width, padding_char);
}
static CYTHON_INLINE PyObject* __Pyx____Pyx_PyUnicode_From_int(int value, Py_ssize_t width, char padding_char, char format_char) {
    char digits[sizeof(int)*3+2];
    char *dpos, *end = digits + sizeof(int)*3+2;
    const char *hex_digits = DIGITS_HEX;
    Py_ssize_t length, ulength;
    int prepend_sign, last_one_off;
    int remaining;
#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 (format_char == 'X') {
        hex_digits += 16;
        format_char = 'x';
    }
    remaining = value;
    last_one_off = 0;
    dpos = end;
    do {
        int digit_pos;
        switch (format_char) {
        case 'o':
            digit_pos = abs((int)(remaining % (8*8)));
            remaining = (int) (remaining / (8*8));
            dpos -= 2;
            memcpy(dpos, DIGIT_PAIRS_8 + digit_pos * 2, 2);
            last_one_off = (digit_pos < 8);
            break;
        case 'd':
            digit_pos = abs((int)(remaining % (10*10)));
            remaining = (int) (remaining / (10*10));
            dpos -= 2;
            memcpy(dpos, DIGIT_PAIRS_10 + digit_pos * 2, 2);
            last_one_off = (digit_pos < 10);
            break;
        case 'x':
            *(--dpos) = hex_digits[abs((int)(remaining % 16))];
            remaining = (int) (remaining / 16);
            break;
        default:
            assert(0);
            break;
        }
    } while (unlikely(remaining != 0));
    assert(!last_one_off || *dpos == '0');
    dpos += last_one_off;
    length = end - dpos;
    ulength = length;
    prepend_sign = 0;
    if (!is_unsigned && value <= neg_one) {
        if (padding_char == ' ' || width <= length + 1) {
            *(--dpos) = '-';
            ++length;
        } else {
            prepend_sign = 1;
        }
        ++ulength;
    }
    if (width > ulength) {
        ulength = width;
    }
    if (ulength == 1) {
        return PyUnicode_FromOrdinal(*dpos);
    }
    return __Pyx_PyUnicode_BuildFromAscii(ulength, dpos, (int) length, prepend_sign, padding_char);
}

/* DivInt[__pyx_t_4cuda_4core_7_layout_stride_t] */
static CYTHON_INLINE __pyx_t_4cuda_4core_7_layout_stride_t __Pyx_div___pyx_t_4cuda_4core_7_layout_stride_t(__pyx_t_4cuda_4core_7_layout_stride_t a, __pyx_t_4cuda_4core_7_layout_stride_t b, int b_is_constant) {
    __pyx_t_4cuda_4core_7_layout_stride_t q = a / b;
    __pyx_t_4cuda_4core_7_layout_stride_t r = a - q*b;
    __pyx_t_4cuda_4core_7_layout_stride_t adapt_python = (b_is_constant ?
        ((r != 0) & ((r < 0) ^ (b < 0))) :
        ((r != 0) & ((r ^ b) < 0))
    );
    return q - adapt_python;
}

/* CIntToPyUnicode */
static CYTHON_INLINE PyObject* __Pyx_uchar___Pyx_PyUnicode_From_size_t(size_t value, Py_ssize_t width, char padding_char) {
#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(!(is_unsigned || value == 0 || value > 0) ||
                    !(sizeof(value) <= 2 || value & ~ (size_t) 0x01fffff || __Pyx_CheckUnicodeValue((int) value)))) {
        PyErr_SetString(PyExc_OverflowError, "%c arg not in range(0x110000)");
        return NULL;
    }
    if (width <= 1) {
        return PyUnicode_FromOrdinal((int) value);
    }
    return __Pyx_PyUnicode_FromOrdinal_Padded((int) value, width, padding_char);
}
static CYTHON_INLINE PyObject* __Pyx____Pyx_PyUnicode_From_size_t(size_t value, Py_ssize_t width, char padding_char, char format_char) {
    char digits[sizeof(size_t)*3+2];
    char *dpos, *end = digits + sizeof(size_t)*3+2;
    const char *hex_digits = DIGITS_HEX;
    Py_ssize_t length, ulength;
    int prepend_sign, last_one_off;
    size_t remaining;
#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 (format_char == 'X') {
        hex_digits += 16;
        format_char = 'x';
    }
    remaining = value;
    last_one_off = 0;
    dpos = end;
    do {
        int digit_pos;
        switch (format_char) {
        case 'o':
            digit_pos = abs((int)(remaining % (8*8)));
            remaining = (size_t) (remaining / (8*8));
            dpos -= 2;
            memcpy(dpos, DIGIT_PAIRS_8 + digit_pos * 2, 2);
            last_one_off = (digit_pos < 8);
            break;
        case 'd':
            digit_pos = abs((int)(remaining % (10*10)));
            remaining = (size_t) (remaining / (10*10));
            dpos -= 2;
            memcpy(dpos, DIGIT_PAIRS_10 + digit_pos * 2, 2);
            last_one_off = (digit_pos < 10);
            break;
        case 'x':
            *(--dpos) = hex_digits[abs((int)(remaining % 16))];
            remaining = (size_t) (remaining / 16);
            break;
        default:
            assert(0);
            break;
        }
    } while (unlikely(remaining != 0));
    assert(!last_one_off || *dpos == '0');
    dpos += last_one_off;
    length = end - dpos;
    ulength = length;
    prepend_sign = 0;
    if (!is_unsigned && value <= neg_one) {
        if (padding_char == ' ' || width <= length + 1) {
            *(--dpos) = '-';
            ++length;
        } else {
            prepend_sign = 1;
        }
        ++ulength;
    }
    if (width > ulength) {
        ulength = width;
    }
    if (ulength == 1) {
        return PyUnicode_FromOrdinal(*dpos);
    }
    return __Pyx_PyUnicode_BuildFromAscii(ulength, dpos, (int) length, prepend_sign, padding_char);
}

/* CIntToPyUnicode */
static CYTHON_INLINE PyObject* __Pyx_uchar___Pyx_PyUnicode_From_int32_t(int32_t value, Py_ssize_t width, char padding_char) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const int32_t neg_one = (int32_t) -1, const_zero = (int32_t) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (unlikely(!(is_unsigned || value == 0 || value > 0) ||
                    !(sizeof(value) <= 2 || value & ~ (int32_t) 0x01fffff || __Pyx_CheckUnicodeValue((int) value)))) {
        PyErr_SetString(PyExc_OverflowError, "%c arg not in range(0x110000)");
        return NULL;
    }
    if (width <= 1) {
        return PyUnicode_FromOrdinal((int) value);
    }
    return __Pyx_PyUnicode_FromOrdinal_Padded((int) value, width, padding_char);
}
static CYTHON_INLINE PyObject* __Pyx____Pyx_PyUnicode_From_int32_t(int32_t value, Py_ssize_t width, char padding_char, char format_char) {
    char digits[sizeof(int32_t)*3+2];
    char *dpos, *end = digits + sizeof(int32_t)*3+2;
    const char *hex_digits = DIGITS_HEX;
    Py_ssize_t length, ulength;
    int prepend_sign, last_one_off;
    int32_t remaining;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const int32_t neg_one = (int32_t) -1, const_zero = (int32_t) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (format_char == 'X') {
        hex_digits += 16;
        format_char = 'x';
    }
    remaining = value;
    last_one_off = 0;
    dpos = end;
    do {
        int digit_pos;
        switch (format_char) {
        case 'o':
            digit_pos = abs((int)(remaining % (8*8)));
            remaining = (int32_t) (remaining / (8*8));
            dpos -= 2;
            memcpy(dpos, DIGIT_PAIRS_8 + digit_pos * 2, 2);
            last_one_off = (digit_pos < 8);
            break;
        case 'd':
            digit_pos = abs((int)(remaining % (10*10)));
            remaining = (int32_t) (remaining / (10*10));
            dpos -= 2;
            memcpy(dpos, DIGIT_PAIRS_10 + digit_pos * 2, 2);
            last_one_off = (digit_pos < 10);
            break;
        case 'x':
            *(--dpos) = hex_digits[abs((int)(remaining % 16))];
            remaining = (int32_t) (remaining / 16);
            break;
        default:
            assert(0);
            break;
        }
    } while (unlikely(remaining != 0));
    assert(!last_one_off || *dpos == '0');
    dpos += last_one_off;
    length = end - dpos;
    ulength = length;
    prepend_sign = 0;
    if (!is_unsigned && value <= neg_one) {
        if (padding_char == ' ' || width <= length + 1) {
            *(--dpos) = '-';
            ++length;
        } else {
            prepend_sign = 1;
        }
        ++ulength;
    }
    if (width > ulength) {
        ulength = width;
    }
    if (ulength == 1) {
        return PyUnicode_FromOrdinal(*dpos);
    }
    return __Pyx_PyUnicode_BuildFromAscii(ulength, dpos, (int) length, prepend_sign, padding_char);
}

/* 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));
}

/* CIntToPyUnicode */
static CYTHON_INLINE PyObject* __Pyx_uchar___Pyx_PyUnicode_From_Py_ssize_t(Py_ssize_t value, Py_ssize_t width, char padding_char) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const Py_ssize_t neg_one = (Py_ssize_t) -1, const_zero = (Py_ssize_t) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (unlikely(!(is_unsigned || value == 0 || value > 0) ||
                    !(sizeof(value) <= 2 || value & ~ (Py_ssize_t) 0x01fffff || __Pyx_CheckUnicodeValue((int) value)))) {
        PyErr_SetString(PyExc_OverflowError, "%c arg not in range(0x110000)");
        return NULL;
    }
    if (width <= 1) {
        return PyUnicode_FromOrdinal((int) value);
    }
    return __Pyx_PyUnicode_FromOrdinal_Padded((int) value, width, padding_char);
}
static CYTHON_INLINE PyObject* __Pyx____Pyx_PyUnicode_From_Py_ssize_t(Py_ssize_t value, Py_ssize_t width, char padding_char, char format_char) {
    char digits[sizeof(Py_ssize_t)*3+2];
    char *dpos, *end = digits + sizeof(Py_ssize_t)*3+2;
    const char *hex_digits = DIGITS_HEX;
    Py_ssize_t length, ulength;
    int prepend_sign, last_one_off;
    Py_ssize_t remaining;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const Py_ssize_t neg_one = (Py_ssize_t) -1, const_zero = (Py_ssize_t) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (format_char == 'X') {
        hex_digits += 16;
        format_char = 'x';
    }
    remaining = value;
    last_one_off = 0;
    dpos = end;
    do {
        int digit_pos;
        switch (format_char) {
        case 'o':
            digit_pos = abs((int)(remaining % (8*8)));
            remaining = (Py_ssize_t) (remaining / (8*8));
            dpos -= 2;
            memcpy(dpos, DIGIT_PAIRS_8 + digit_pos * 2, 2);
            last_one_off = (digit_pos < 8);
            break;
        case 'd':
            digit_pos = abs((int)(remaining % (10*10)));
            remaining = (Py_ssize_t) (remaining / (10*10));
            dpos -= 2;
            memcpy(dpos, DIGIT_PAIRS_10 + digit_pos * 2, 2);
            last_one_off = (digit_pos < 10);
            break;
        case 'x':
            *(--dpos) = hex_digits[abs((int)(remaining % 16))];
            remaining = (Py_ssize_t) (remaining / 16);
            break;
        default:
            assert(0);
            break;
        }
    } while (unlikely(remaining != 0));
    assert(!last_one_off || *dpos == '0');
    dpos += last_one_off;
    length = end - dpos;
    ulength = length;
    prepend_sign = 0;
    if (!is_unsigned && value <= neg_one) {
        if (padding_char == ' ' || width <= length + 1) {
            *(--dpos) = '-';
            ++length;
        } else {
            prepend_sign = 1;
        }
        ++ulength;
    }
    if (width > ulength) {
        ulength = width;
    }
    if (ulength == 1) {
        return PyUnicode_FromOrdinal(*dpos);
    }
    return __Pyx_PyUnicode_BuildFromAscii(ulength, dpos, (int) length, prepend_sign, padding_char);
}

/* 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 */
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
}

/* DivInt[int64_t] */
static CYTHON_INLINE int64_t __Pyx_div_int64_t(int64_t a, int64_t b, int b_is_constant) {
    int64_t q = a / b;
    int64_t r = a - q*b;
    int64_t adapt_python = (b_is_constant ?
        ((r != 0) & ((r < 0) ^ (b < 0))) :
        ((r != 0) & ((r ^ b) < 0))
    );
    return q - adapt_python;
}

/* 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

/* 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);
}

/* PyObjectGetAttrStr (used by UnpackUnboundCMethod) */
#if CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject* obj, PyObject* attr_name) {
    PyTypeObject* tp = Py_TYPE(obj);
    if (likely(tp->tp_getattro))
        return tp->tp_getattro(obj, attr_name);
    return PyObject_GetAttr(obj, attr_name);
}
#endif

/* 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);
}

/* pybuiltin_invalid (used by pyint_simplify) */
static void __Pyx_PyBuiltin_Invalid(PyObject *obj, const char *type_name, const char *argname) {
    __Pyx_TypeName obj_type_name = __Pyx_PyType_GetFullyQualifiedName(Py_TYPE(obj));
    if (argname) {
        PyErr_Format(PyExc_TypeError,
            "Argument '%.200s' has incorrect type (expected %.200s, got " __Pyx_FMT_TYPENAME ")",
            argname, type_name, obj_type_name
        );
    } else {
        PyErr_Format(PyExc_TypeError,
            "Expected %.200s, got " __Pyx_FMT_TYPENAME,
            type_name, obj_type_name
        );
    }
    __Pyx_DECREF_TypeName(obj_type_name);
}

/* pyint_simplify */
static CYTHON_INLINE int __Pyx_PyInt_FromNumber(PyObject **number_var, const char *argname, int accept_none) {
    PyObject *number = *number_var;
    if (likely((accept_none && number == Py_None) || PyLong_CheckExact(number))) {
        return 0;
    }
    PyObject *int_object;
    if (likely(PyNumber_Check(number))) {
        int_object = PyNumber_Long(number);
        if (unlikely(!int_object)) goto bad;
    } else {
        __Pyx_PyBuiltin_Invalid(number, "int", argname);
        goto bad;
    }
    *number_var = int_object;
    Py_DECREF(number);
    return 0;
bad:
    *number_var = NULL;
    Py_DECREF(number);
    return -1;
}

/* ArgTypeTestFunc (used by ArgTypeTest) */
static int __Pyx__ArgTypeTest(PyObject *obj, PyTypeObject *type, const char *name, int exact)
{
    __Pyx_TypeName type_name;
    __Pyx_TypeName obj_type_name;
    PyObject *extra_info = __pyx_mstate_global->__pyx_empty_unicode;
    int from_annotation_subclass = 0;
    if (unlikely(!type)) {
        PyErr_SetString(PyExc_SystemError, "Missing type object");
        return 0;
    }
    else if (!exact) {
        if (likely(__Pyx_TypeCheck(obj, type))) return 1;
    } else if (exact == 2) {
        if (__Pyx_TypeCheck(obj, type)) {
            from_annotation_subclass = 1;
            extra_info = __pyx_mstate_global->__pyx_kp_u_Note_that_Cython_is_deliberately;
        }
    }
    type_name = __Pyx_PyType_GetFullyQualifiedName(type);
    obj_type_name = __Pyx_PyType_GetFullyQualifiedName(Py_TYPE(obj));
    PyErr_Format(PyExc_TypeError,
        "Argument '%.200s' has incorrect type (expected " __Pyx_FMT_TYPENAME
        ", got " __Pyx_FMT_TYPENAME ")"
#if __PYX_LIMITED_VERSION_HEX < 0x030C0000
        "%s%U"
#endif
        , name, type_name, obj_type_name
#if __PYX_LIMITED_VERSION_HEX < 0x030C0000
        , (from_annotation_subclass ? ". " : ""), extra_info
#endif
        );
#if __PYX_LIMITED_VERSION_HEX >= 0x030C0000
    if (exact == 2 && from_annotation_subclass) {
        PyObject *res;
        PyObject *vargs[2];
        vargs[0] = PyErr_GetRaisedException();
        vargs[1] = extra_info;
        res = PyObject_VectorcallMethod(__pyx_mstate_global->__pyx_kp_u_add_note, vargs, 2, NULL);
        Py_XDECREF(res);
        PyErr_SetRaisedException(vargs[0]);
    }
#endif
    __Pyx_DECREF_TypeName(type_name);
    __Pyx_DECREF_TypeName(obj_type_name);
    return 0;
}

/* 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

/* 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;
}

/* 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);
    }
}

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

/* ModInt[int64_t] */
static CYTHON_INLINE int64_t __Pyx_mod_int64_t(int64_t a, int64_t b, int b_is_constant) {
    int64_t r = a % b;
    int64_t adapt_python = (b_is_constant ?
        ((r != 0) & ((r < 0) ^ (b < 0))) :
        ((r != 0) & ((r ^ b) < 0))
    );
    return r + adapt_python * b;
}

/* ModInt[intptr_t] */
static CYTHON_INLINE intptr_t __Pyx_mod_intptr_t(intptr_t a, intptr_t b, int b_is_constant) {
    intptr_t r = a % b;
    intptr_t adapt_python = (b_is_constant ?
        ((r != 0) & ((r < 0) ^ (b < 0))) :
        ((r != 0) & ((r ^ b) < 0))
    );
    return r + adapt_python * b;
}

/* CIntToPyUnicode */
static CYTHON_INLINE PyObject* __Pyx_uchar___Pyx_PyUnicode_From_intptr_t(intptr_t value, Py_ssize_t width, char padding_char) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const intptr_t neg_one = (intptr_t) -1, const_zero = (intptr_t) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (unlikely(!(is_unsigned || value == 0 || value > 0) ||
                    !(sizeof(value) <= 2 || value & ~ (intptr_t) 0x01fffff || __Pyx_CheckUnicodeValue((int) value)))) {
        PyErr_SetString(PyExc_OverflowError, "%c arg not in range(0x110000)");
        return NULL;
    }
    if (width <= 1) {
        return PyUnicode_FromOrdinal((int) value);
    }
    return __Pyx_PyUnicode_FromOrdinal_Padded((int) value, width, padding_char);
}
static CYTHON_INLINE PyObject* __Pyx____Pyx_PyUnicode_From_intptr_t(intptr_t value, Py_ssize_t width, char padding_char, char format_char) {
    char digits[sizeof(intptr_t)*3+2];
    char *dpos, *end = digits + sizeof(intptr_t)*3+2;
    const char *hex_digits = DIGITS_HEX;
    Py_ssize_t length, ulength;
    int prepend_sign, last_one_off;
    intptr_t remaining;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const intptr_t neg_one = (intptr_t) -1, const_zero = (intptr_t) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (format_char == 'X') {
        hex_digits += 16;
        format_char = 'x';
    }
    remaining = value;
    last_one_off = 0;
    dpos = end;
    do {
        int digit_pos;
        switch (format_char) {
        case 'o':
            digit_pos = abs((int)(remaining % (8*8)));
            remaining = (intptr_t) (remaining / (8*8));
            dpos -= 2;
            memcpy(dpos, DIGIT_PAIRS_8 + digit_pos * 2, 2);
            last_one_off = (digit_pos < 8);
            break;
        case 'd':
            digit_pos = abs((int)(remaining % (10*10)));
            remaining = (intptr_t) (remaining / (10*10));
            dpos -= 2;
            memcpy(dpos, DIGIT_PAIRS_10 + digit_pos * 2, 2);
            last_one_off = (digit_pos < 10);
            break;
        case 'x':
            *(--dpos) = hex_digits[abs((int)(remaining % 16))];
            remaining = (intptr_t) (remaining / 16);
            break;
        default:
            assert(0);
            break;
        }
    } while (unlikely(remaining != 0));
    assert(!last_one_off || *dpos == '0');
    dpos += last_one_off;
    length = end - dpos;
    ulength = length;
    prepend_sign = 0;
    if (!is_unsigned && value <= neg_one) {
        if (padding_char == ' ' || width <= length + 1) {
            *(--dpos) = '-';
            ++length;
        } else {
            prepend_sign = 1;
        }
        ++ulength;
    }
    if (width > ulength) {
        ulength = width;
    }
    if (ulength == 1) {
        return PyUnicode_FromOrdinal(*dpos);
    }
    return __Pyx_PyUnicode_BuildFromAscii(ulength, dpos, (int) length, prepend_sign, padding_char);
}

/* DivInt[int] */
static CYTHON_INLINE int __Pyx_div_int(int a, int b, int b_is_constant) {
    int q = a / b;
    int r = a - q*b;
    int adapt_python = (b_is_constant ?
        ((r != 0) & ((r < 0) ^ (b < 0))) :
        ((r != 0) & ((r ^ b) < 0))
    );
    return q - adapt_python;
}

/* DivInt[__pyx_t_4cuda_4core_7_layout_extent_t] */
static CYTHON_INLINE __pyx_t_4cuda_4core_7_layout_extent_t __Pyx_div___pyx_t_4cuda_4core_7_layout_extent_t(__pyx_t_4cuda_4core_7_layout_extent_t a, __pyx_t_4cuda_4core_7_layout_extent_t b, int b_is_constant) {
    __pyx_t_4cuda_4core_7_layout_extent_t q = a / b;
    __pyx_t_4cuda_4core_7_layout_extent_t r = a - q*b;
    __pyx_t_4cuda_4core_7_layout_extent_t adapt_python = (b_is_constant ?
        ((r != 0) & ((r < 0) ^ (b < 0))) :
        ((r != 0) & ((r ^ b) < 0))
    );
    return q - adapt_python;
}

/* 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;
}

/* 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 PyType_Ready) */
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
}

/* 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
}

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

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

/* MergeVTables */
static int __Pyx_MergeVtables(PyTypeObject *type) {
    int i=0;
    Py_ssize_t size;
    void** base_vtables;
    __Pyx_TypeName tp_base_name = NULL;
    __Pyx_TypeName base_name = NULL;
    void* unknown = (void*)-1;
    PyObject* bases = __Pyx_PyType_GetSlot(type, tp_bases, PyObject*);
    int base_depth = 0;
    {
        PyTypeObject* base = __Pyx_PyType_GetSlot(type, tp_base, PyTypeObject*);
        while (base) {
            base_depth += 1;
            base = __Pyx_PyType_GetSlot(base, tp_base, PyTypeObject*);
        }
    }
    base_vtables = (void**) PyMem_Malloc(sizeof(void*) * (size_t)(base_depth + 1));
    base_vtables[0] = unknown;
#if CYTHON_COMPILING_IN_LIMITED_API
    size = PyTuple_Size(bases);
    if (size < 0) goto other_failure;
#else
    size = PyTuple_GET_SIZE(bases);
#endif
    for (i = 1; i < size; i++) {
        PyObject *basei;
        void* base_vtable;
#if CYTHON_AVOID_BORROWED_REFS
        basei = PySequence_GetItem(bases, i);
        if (unlikely(!basei)) goto other_failure;
#elif !CYTHON_ASSUME_SAFE_MACROS
        basei = PyTuple_GetItem(bases, i);
        if (unlikely(!basei)) goto other_failure;
#else
        basei = PyTuple_GET_ITEM(bases, i);
#endif
        base_vtable = __Pyx_GetVtable((PyTypeObject*)basei);
#if CYTHON_AVOID_BORROWED_REFS
        Py_DECREF(basei);
#endif
        if (base_vtable != NULL) {
            int j;
            PyTypeObject* base = __Pyx_PyType_GetSlot(type, tp_base, PyTypeObject*);
            for (j = 0; j < base_depth; j++) {
                if (base_vtables[j] == unknown) {
                    base_vtables[j] = __Pyx_GetVtable(base);
                    base_vtables[j + 1] = unknown;
                }
                if (base_vtables[j] == base_vtable) {
                    break;
                } else if (base_vtables[j] == NULL) {
                    goto bad;
                }
                base = __Pyx_PyType_GetSlot(base, tp_base, PyTypeObject*);
            }
        }
    }
    PyErr_Clear();
    PyMem_Free(base_vtables);
    return 0;
bad:
    {
        PyTypeObject* basei = NULL;
        PyTypeObject* tp_base = __Pyx_PyType_GetSlot(type, tp_base, PyTypeObject*);
        tp_base_name = __Pyx_PyType_GetFullyQualifiedName(tp_base);
#if CYTHON_AVOID_BORROWED_REFS
        basei = (PyTypeObject*)PySequence_GetItem(bases, i);
        if (unlikely(!basei)) goto really_bad;
#elif !CYTHON_ASSUME_SAFE_MACROS
        basei = (PyTypeObject*)PyTuple_GetItem(bases, i);
        if (unlikely(!basei)) goto really_bad;
#else
        basei = (PyTypeObject*)PyTuple_GET_ITEM(bases, i);
#endif
        base_name = __Pyx_PyType_GetFullyQualifiedName(basei);
#if CYTHON_AVOID_BORROWED_REFS
        Py_DECREF(basei);
#endif
    }
    PyErr_Format(PyExc_TypeError,
        "multiple bases have vtable conflict: '" __Pyx_FMT_TYPENAME "' and '" __Pyx_FMT_TYPENAME "'", tp_base_name, base_name);
#if CYTHON_AVOID_BORROWED_REFS || !CYTHON_ASSUME_SAFE_MACROS
really_bad: // bad has failed!
#endif
    __Pyx_DECREF_TypeName(tp_base_name);
    __Pyx_DECREF_TypeName(base_name);
#if CYTHON_COMPILING_IN_LIMITED_API || CYTHON_AVOID_BORROWED_REFS || !CYTHON_ASSUME_SAFE_MACROS
other_failure:
#endif
    PyMem_Free(base_vtables);
    return -1;
}

/* 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;
}

/* PyErrExceptionMatches (used by PyObjectGetAttrStrNoError) */
#if CYTHON_FAST_THREAD_STATE
static int __Pyx_PyErr_ExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
    Py_ssize_t i, n;
    n = PyTuple_GET_SIZE(tuple);
    for (i=0; i<n; i++) {
        if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
    }
    for (i=0; i<n; i++) {
        if (__Pyx_PyErr_GivenExceptionMatches(exc_type, PyTuple_GET_ITEM(tuple, i))) return 1;
    }
    return 0;
}
static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err) {
    int result;
    PyObject *exc_type;
#if PY_VERSION_HEX >= 0x030C00A6
    PyObject *current_exception = tstate->current_exception;
    if (unlikely(!current_exception)) return 0;
    exc_type = (PyObject*) Py_TYPE(current_exception);
    if (exc_type == err) return 1;
#else
    exc_type = tstate->curexc_type;
    if (exc_type == err) return 1;
    if (unlikely(!exc_type)) return 0;
#endif
    #if CYTHON_AVOID_BORROWED_REFS
    Py_INCREF(exc_type);
    #endif
    if (unlikely(PyTuple_Check(err))) {
        result = __Pyx_PyErr_ExceptionMatchesTuple(exc_type, err);
    } else {
        result = __Pyx_PyErr_GivenExceptionMatches(exc_type, err);
    }
    #if CYTHON_AVOID_BORROWED_REFS
    Py_DECREF(exc_type);
    #endif
    return result;
}
#endif

/* PyObjectGetAttrStrNoError (used by SetupReduce) */
#if __PYX_LIMITED_VERSION_HEX < 0x030d0000
static void __Pyx_PyObject_GetAttrStr_ClearAttributeError(void) {
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    if (likely(__Pyx_PyErr_ExceptionMatches(PyExc_AttributeError)))
        __Pyx_PyErr_Clear();
}
#endif
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStrNoError(PyObject* obj, PyObject* attr_name) {
    PyObject *result;
#if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
    (void) PyObject_GetOptionalAttr(obj, attr_name, &result);
    return result;
#else
#if CYTHON_COMPILING_IN_CPYTHON && CYTHON_USE_TYPE_SLOTS
    PyTypeObject* tp = Py_TYPE(obj);
    if (likely(tp->tp_getattro == PyObject_GenericGetAttr)) {
        return _PyObject_GenericGetAttrWithDict(obj, attr_name, NULL, 1);
    }
#endif
    result = __Pyx_PyObject_GetAttrStr(obj, attr_name);
    if (unlikely(!result)) {
        __Pyx_PyObject_GetAttrStr_ClearAttributeError();
    }
    return result;
#endif
}

/* 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

/* PxdImportShared (used by VoidPtrImport) */
#ifndef __PYX_HAVE_RT_ImportFromPxd_3_2_4
#define __PYX_HAVE_RT_ImportFromPxd_3_2_4
static int __Pyx_ImportFromPxd_3_2_4(PyObject *module, const char *name, void **p, const char *sig, const char *what) {
    PyObject *d = 0;
    PyObject *cobj = 0;
    d = PyObject_GetAttrString(module, "__pyx_capi__");
    if (!d)
        goto bad;
#if (defined(Py_LIMITED_API) && Py_LIMITED_API >= 0x030d0000) || (!defined(Py_LIMITED_API) && PY_VERSION_HEX >= 0x030d0000)
    PyDict_GetItemStringRef(d, name, &cobj);
#else
    cobj = PyDict_GetItemString(d, name);
    Py_XINCREF(cobj);
#endif
    if (!cobj) {
        PyErr_Format(PyExc_ImportError,
            "%.200s does not export expected C %.8s %.200s",
                PyModule_GetName(module), what, name);
        goto bad;
    }
    if (!PyCapsule_IsValid(cobj, sig)) {
        PyErr_Format(PyExc_TypeError,
            "C %.8s %.200s.%.200s has wrong signature (expected %.500s, got %.500s)",
             what, PyModule_GetName(module), name, sig, PyCapsule_GetName(cobj));
        goto bad;
    }
    *p = PyCapsule_GetPointer(cobj, sig);
    if (!(*p))
        goto bad;
    Py_DECREF(d);
    Py_DECREF(cobj);
    return 0;
bad:
    Py_XDECREF(d);
    Py_XDECREF(cobj);
    return -1;
}
#endif

/* VoidPtrImport */
#ifndef __PYX_HAVE_RT_ImportVoidPtr_3_2_4
#define __PYX_HAVE_RT_ImportVoidPtr_3_2_4
static int __Pyx_ImportVoidPtr_3_2_4(PyObject *module, const char *name, void **p, const char *sig) {
    return __Pyx_ImportFromPxd_3_2_4(module, name, p, sig, "variable");
}
#endif

/* 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;
}

/* ClassMethod */
static PyObject* __Pyx_Method_ClassMethod(PyObject *method) {
#if CYTHON_COMPILING_IN_PYPY && PYPY_VERSION_NUM <= 0x05080000
    if (PyObject_TypeCheck(method, &PyWrapperDescr_Type)) {
        return PyClassMethod_New(method);
    }
#else
#if CYTHON_COMPILING_IN_PYPY
    if (PyMethodDescr_Check(method))
#else
    if (__Pyx_TypeCheck(method, &PyMethodDescr_Type))
#endif
    {
#if CYTHON_COMPILING_IN_LIMITED_API
        return PyErr_Format(
            PyExc_SystemError,
            "Cython cannot yet handle classmethod on a MethodDescriptorType (%S) in limited API mode. "
            "This is most likely a classmethod in a cdef class method with binding=False. "
            "Try setting 'binding' to True.",
            method);
#elif CYTHON_COMPILING_IN_GRAAL && defined(GRAALPY_VERSION_NUM) && GRAALPY_VERSION_NUM > 0x19000000
        PyTypeObject *d_type = GraalPyDescrObject_GetType(method);
        return PyDescr_NewClassMethod(d_type, GraalPyMethodDescrObject_GetMethod(method));
#elif CYTHON_COMPILING_IN_GRAAL
        PyTypeObject *d_type = PyDescrObject_GetType(method);
        return PyDescr_NewClassMethod(d_type, PyMethodDescrObject_GetMethod(method));
#else
        PyMethodDescrObject *descr = (PyMethodDescrObject *)method;
        PyTypeObject *d_type = descr->d_common.d_type;
        return PyDescr_NewClassMethod(d_type, descr->d_method);
#endif
    }
#endif
#if !CYTHON_COMPILING_IN_LIMITED_API
    else if (PyMethod_Check(method)) {
        return PyClassMethod_New(PyMethod_GET_FUNCTION(method));
    }
    else {
        return PyClassMethod_New(method);
    }
#else
    {
        PyObject *func=NULL;
        PyObject *builtins, *classmethod, *classmethod_str, *result=NULL;
        if (__Pyx_TypeCheck(method, __pyx_mstate_global->__Pyx_CachedMethodType)) {
            func = PyObject_GetAttrString(method, "__func__");
            if (!func) goto bad;
        } else {
            func = method;
            Py_INCREF(func);
        }
        builtins = PyEval_GetBuiltins(); // borrowed
        if (unlikely(!builtins)) goto bad;
        classmethod_str = PyUnicode_FromString("classmethod");
        if (unlikely(!classmethod_str)) goto bad;
        classmethod = PyObject_GetItem(builtins, classmethod_str);
        Py_DECREF(classmethod_str);
        if (unlikely(!classmethod)) goto bad;
        result = PyObject_CallFunctionObjArgs(classmethod, func, NULL);
        Py_DECREF(classmethod);
        bad:
        Py_XDECREF(func);
        return result;
    }
#endif
}

/* GetBuiltinName (used by GetModuleGlobalName) */
static PyObject *__Pyx_GetBuiltinName(PyObject *name) {
    PyObject* result = __Pyx_PyObject_GetAttrStrNoError(__pyx_mstate_global->__pyx_b, name);
    if (unlikely(!result) && !PyErr_Occurred()) {
        PyErr_Format(PyExc_NameError,
            "name '%U' is not defined", name);
    }
    return result;
}

/* 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 (used by GetNameInClass) */
#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);
}

/* GetNameInClass */
static PyObject *__Pyx__GetNameInClass(PyObject *nmspace, PyObject *name) {
    PyObject *result;
    PyObject *dict;
    assert(PyType_Check(nmspace));
#if CYTHON_USE_TYPE_SLOTS
    dict = ((PyTypeObject*)nmspace)->tp_dict;
    Py_XINCREF(dict);
#else
    dict = PyObject_GetAttr(nmspace, __pyx_mstate_global->__pyx_n_u_dict);
#endif
    if (likely(dict)) {
        result = PyObject_GetItem(dict, name);
        Py_DECREF(dict);
        if (result) {
            return result;
        }
    }
    PyErr_Clear();
    __Pyx_GetModuleGlobalNameUncached(result, name);
    return result;
}

/* 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;\
    }

/* BaseCaseSigned */
#if defined(__PYX_HAVE_BUILTIN_OVERFLOW)
static CYTHON_INLINE int __Pyx_add_int_checking_overflow(int a, int b, int *overflow) {
    int result;
    *overflow |= __builtin_add_overflow(a, b, &result);
    return result;
}
static CYTHON_INLINE int __Pyx_sub_int_checking_overflow(int a, int b, int *overflow) {
    int result;
    *overflow |= __builtin_sub_overflow(a, b, &result);
    return result;
}
static CYTHON_INLINE int __Pyx_mul_int_checking_overflow(int a, int b, int *overflow) {
    int result;
    *overflow |= __builtin_mul_overflow(a, b, &result);
    return result;
}
#else
static CYTHON_INLINE int __Pyx_add_int_checking_overflow(int a, int b, int *overflow) {
    if ((sizeof(int) < sizeof(long))) {
        long big_r = ((long) a) + ((long) b);
        int r = (int) big_r;
        *overflow |= big_r != r;
        return r;
    } else if ((sizeof(int) < sizeof(PY_LONG_LONG))) {
        PY_LONG_LONG big_r = ((PY_LONG_LONG) a) + ((PY_LONG_LONG) b);
        int r = (int) big_r;
        *overflow |= big_r != r;
        return r;
    } else {
        unsigned int r = (unsigned int) a + (unsigned int) b;
        *overflow |= (((unsigned int)a ^ r) & ((unsigned int)b ^ r)) >> (8 * sizeof(int) - 1);
        return (int) r;
    }
}
static CYTHON_INLINE int __Pyx_sub_int_checking_overflow(int a, int b, int *overflow) {
    unsigned int r = (unsigned int) a - (unsigned int) b;
    *overflow |= (((unsigned int)a ^ (unsigned int)b) & ((unsigned int)a ^ r)) >> (8 * sizeof(int) - 1);
    return (int) r;
}
static CYTHON_INLINE int __Pyx_mul_int_checking_overflow(int a, int b, int *overflow) {
    if (__Pyx_is_constant(b)) {
        return __Pyx_mul_const_int_checking_overflow(a, b, overflow);
    } else if (__Pyx_is_constant(a)) {
        return __Pyx_mul_const_int_checking_overflow(b, a, overflow);
    } else if ((sizeof(int) < sizeof(long))) {
        long big_r = ((long) a) * ((long) b);
        int r = (int) big_r;
        *overflow |= big_r != r;
        return (int) r;
    } else if ((sizeof(int) < sizeof(PY_LONG_LONG))) {
        PY_LONG_LONG big_r = ((PY_LONG_LONG) a) * ((PY_LONG_LONG) b);
        int r = (int) big_r;
        *overflow |= big_r != r;
        return (int) r;
    } else {
        return __Pyx_mul_const_int_checking_overflow(a, b, overflow);
    }
}
static CYTHON_INLINE int __Pyx_mul_const_int_checking_overflow(int a, int b, int *overflow) {
    if (__Pyx_is_constant(a) && !__Pyx_is_constant(b)) {
        int temp = b;
        b = a;
        a = temp;
    }
    if (b > 1) {
        *overflow |= a > __PYX_MAX(int) / b;
        *overflow |= a < __PYX_MIN(int) / b;
    } else if (b == -1) {
        *overflow |= a == __PYX_MIN(int);
    } else if (b < -1) {
        *overflow |= a > __PYX_MIN(int) / b;
        *overflow |= a < __PYX_MAX(int) / b;
    }
    return (int) (((unsigned int)a) * ((unsigned int) b));
}
#endif  // defined(__PYX_HAVE_BUILTIN_OVERFLOW)
static CYTHON_INLINE int __Pyx_div_int_checking_overflow(int a, int b, int *overflow) {
    if (b == 0) {
        *overflow |= 1;
        return 0;
    }
    *overflow |= a == __PYX_MIN(int) && b == -1;
    return (int) ((unsigned int) a / (unsigned int) b);
}

/* BaseCaseSigned */
#if defined(__PYX_HAVE_BUILTIN_OVERFLOW)
static CYTHON_INLINE long __Pyx_add_long_checking_overflow(long a, long b, int *overflow) {
    long result;
    *overflow |= __builtin_add_overflow(a, b, &result);
    return result;
}
static CYTHON_INLINE long __Pyx_sub_long_checking_overflow(long a, long b, int *overflow) {
    long result;
    *overflow |= __builtin_sub_overflow(a, b, &result);
    return result;
}
static CYTHON_INLINE long __Pyx_mul_long_checking_overflow(long a, long b, int *overflow) {
    long result;
    *overflow |= __builtin_mul_overflow(a, b, &result);
    return result;
}
#else
static CYTHON_INLINE long __Pyx_add_long_checking_overflow(long a, long b, int *overflow) {
    if ((sizeof(long) < sizeof(long))) {
        long big_r = ((long) a) + ((long) b);
        long r = (long) big_r;
        *overflow |= big_r != r;
        return r;
    } else if ((sizeof(long) < sizeof(PY_LONG_LONG))) {
        PY_LONG_LONG big_r = ((PY_LONG_LONG) a) + ((PY_LONG_LONG) b);
        long r = (long) big_r;
        *overflow |= big_r != r;
        return r;
    } else {
        unsigned long r = (unsigned long) a + (unsigned long) b;
        *overflow |= (((unsigned long)a ^ r) & ((unsigned long)b ^ r)) >> (8 * sizeof(long) - 1);
        return (long) r;
    }
}
static CYTHON_INLINE long __Pyx_sub_long_checking_overflow(long a, long b, int *overflow) {
    unsigned long r = (unsigned long) a - (unsigned long) b;
    *overflow |= (((unsigned long)a ^ (unsigned long)b) & ((unsigned long)a ^ r)) >> (8 * sizeof(long) - 1);
    return (long) r;
}
static CYTHON_INLINE long __Pyx_mul_long_checking_overflow(long a, long b, int *overflow) {
    if (__Pyx_is_constant(b)) {
        return __Pyx_mul_const_long_checking_overflow(a, b, overflow);
    } else if (__Pyx_is_constant(a)) {
        return __Pyx_mul_const_long_checking_overflow(b, a, overflow);
    } else if ((sizeof(long) < sizeof(long))) {
        long big_r = ((long) a) * ((long) b);
        long r = (long) big_r;
        *overflow |= big_r != r;
        return (long) r;
    } else if ((sizeof(long) < sizeof(PY_LONG_LONG))) {
        PY_LONG_LONG big_r = ((PY_LONG_LONG) a) * ((PY_LONG_LONG) b);
        long r = (long) big_r;
        *overflow |= big_r != r;
        return (long) r;
    } else {
        return __Pyx_mul_const_long_checking_overflow(a, b, overflow);
    }
}
static CYTHON_INLINE long __Pyx_mul_const_long_checking_overflow(long a, long b, int *overflow) {
    if (__Pyx_is_constant(a) && !__Pyx_is_constant(b)) {
        long temp = b;
        b = a;
        a = temp;
    }
    if (b > 1) {
        *overflow |= a > __PYX_MAX(long) / b;
        *overflow |= a < __PYX_MIN(long) / b;
    } else if (b == -1) {
        *overflow |= a == __PYX_MIN(long);
    } else if (b < -1) {
        *overflow |= a > __PYX_MIN(long) / b;
        *overflow |= a < __PYX_MAX(long) / b;
    }
    return (long) (((unsigned long)a) * ((unsigned long) b));
}
#endif  // defined(__PYX_HAVE_BUILTIN_OVERFLOW)
static CYTHON_INLINE long __Pyx_div_long_checking_overflow(long a, long b, int *overflow) {
    if (b == 0) {
        *overflow |= 1;
        return 0;
    }
    *overflow |= a == __PYX_MIN(long) && b == -1;
    return (long) ((unsigned long) a / (unsigned long) b);
}

/* BaseCaseSigned */
#if defined(__PYX_HAVE_BUILTIN_OVERFLOW)
static CYTHON_INLINE long long __Pyx_add_long_long_checking_overflow(long long a, long long b, int *overflow) {
    long long result;
    *overflow |= __builtin_add_overflow(a, b, &result);
    return result;
}
static CYTHON_INLINE long long __Pyx_sub_long_long_checking_overflow(long long a, long long b, int *overflow) {
    long long result;
    *overflow |= __builtin_sub_overflow(a, b, &result);
    return result;
}
static CYTHON_INLINE long long __Pyx_mul_long_long_checking_overflow(long long a, long long b, int *overflow) {
    long long result;
    *overflow |= __builtin_mul_overflow(a, b, &result);
    return result;
}
#else
static CYTHON_INLINE long long __Pyx_add_long_long_checking_overflow(long long a, long long b, int *overflow) {
    if ((sizeof(long long) < sizeof(long))) {
        long big_r = ((long) a) + ((long) b);
        long long r = (long long) big_r;
        *overflow |= big_r != r;
        return r;
    } else if ((sizeof(long long) < sizeof(PY_LONG_LONG))) {
        PY_LONG_LONG big_r = ((PY_LONG_LONG) a) + ((PY_LONG_LONG) b);
        long long r = (long long) big_r;
        *overflow |= big_r != r;
        return r;
    } else {
        unsigned long long r = (unsigned long long) a + (unsigned long long) b;
        *overflow |= (((unsigned long long)a ^ r) & ((unsigned long long)b ^ r)) >> (8 * sizeof(long long) - 1);
        return (long long) r;
    }
}
static CYTHON_INLINE long long __Pyx_sub_long_long_checking_overflow(long long a, long long b, int *overflow) {
    unsigned long long r = (unsigned long long) a - (unsigned long long) b;
    *overflow |= (((unsigned long long)a ^ (unsigned long long)b) & ((unsigned long long)a ^ r)) >> (8 * sizeof(long long) - 1);
    return (long long) r;
}
static CYTHON_INLINE long long __Pyx_mul_long_long_checking_overflow(long long a, long long b, int *overflow) {
    if (__Pyx_is_constant(b)) {
        return __Pyx_mul_const_long_long_checking_overflow(a, b, overflow);
    } else if (__Pyx_is_constant(a)) {
        return __Pyx_mul_const_long_long_checking_overflow(b, a, overflow);
    } else if ((sizeof(long long) < sizeof(long))) {
        long big_r = ((long) a) * ((long) b);
        long long r = (long long) big_r;
        *overflow |= big_r != r;
        return (long long) r;
    } else if ((sizeof(long long) < sizeof(PY_LONG_LONG))) {
        PY_LONG_LONG big_r = ((PY_LONG_LONG) a) * ((PY_LONG_LONG) b);
        long long r = (long long) big_r;
        *overflow |= big_r != r;
        return (long long) r;
    } else {
        return __Pyx_mul_const_long_long_checking_overflow(a, b, overflow);
    }
}
static CYTHON_INLINE long long __Pyx_mul_const_long_long_checking_overflow(long long a, long long b, int *overflow) {
    if (__Pyx_is_constant(a) && !__Pyx_is_constant(b)) {
        long long temp = b;
        b = a;
        a = temp;
    }
    if (b > 1) {
        *overflow |= a > __PYX_MAX(long long) / b;
        *overflow |= a < __PYX_MIN(long long) / b;
    } else if (b == -1) {
        *overflow |= a == __PYX_MIN(long long);
    } else if (b < -1) {
        *overflow |= a > __PYX_MIN(long long) / b;
        *overflow |= a < __PYX_MAX(long long) / b;
    }
    return (long long) (((unsigned long long)a) * ((unsigned long long) b));
}
#endif  // defined(__PYX_HAVE_BUILTIN_OVERFLOW)
static CYTHON_INLINE long long __Pyx_div_long_long_checking_overflow(long long a, long long b, int *overflow) {
    if (b == 0) {
        *overflow |= 1;
        return 0;
    }
    *overflow |= a == __PYX_MIN(long long) && b == -1;
    return (long long) ((unsigned long long) a / (unsigned long long) b);
}

/* BaseCaseUnsigned */
#if defined(__PYX_HAVE_BUILTIN_OVERFLOW)
static CYTHON_INLINE unsigned int __Pyx_add_unsigned_int_checking_overflow(unsigned int a, unsigned int b, int *overflow) {
    unsigned int result;
    *overflow |= __builtin_add_overflow(a, b, &result);
    return result;
}
static CYTHON_INLINE unsigned int __Pyx_sub_unsigned_int_checking_overflow(unsigned int a, unsigned int b, int *overflow) {
    unsigned int result;
    *overflow |= __builtin_sub_overflow(a, b, &result);
    return result;
}
static CYTHON_INLINE unsigned int __Pyx_mul_unsigned_int_checking_overflow(unsigned int a, unsigned int b, int *overflow) {
    unsigned int result;
    *overflow |= __builtin_mul_overflow(a, b, &result);
    return result;
}
#else
static CYTHON_INLINE unsigned int __Pyx_add_unsigned_int_checking_overflow(unsigned int a, unsigned int b, int *overflow) {
    unsigned int r = a + b;
    *overflow |= r < a;
    return r;
}
static CYTHON_INLINE unsigned int __Pyx_sub_unsigned_int_checking_overflow(unsigned int a, unsigned int b, int *overflow) {
    unsigned int r = a - b;
    *overflow |= r > a;
    return r;
}
static CYTHON_INLINE unsigned int __Pyx_mul_unsigned_int_checking_overflow(unsigned int a, unsigned int b, int *overflow) {
    if (__Pyx_is_constant(b)) {
        return __Pyx_mul_const_unsigned_int_checking_overflow(a, b, overflow);
    } else if (__Pyx_is_constant(a)) {
        return __Pyx_mul_const_unsigned_int_checking_overflow(b, a, overflow);
    } else if ((sizeof(unsigned int) < sizeof(unsigned long))) {
        unsigned long big_r = ((unsigned long) a) * ((unsigned long) b);
        unsigned int r = (unsigned int) big_r;
        *overflow |= big_r != r;
        return r;
    } else if ((sizeof(unsigned int) < sizeof(unsigned PY_LONG_LONG))) {
        unsigned PY_LONG_LONG big_r = ((unsigned PY_LONG_LONG) a) * ((unsigned PY_LONG_LONG) b);
        unsigned int r = (unsigned int) big_r;
        *overflow |= big_r != r;
        return r;
    } else {
        return __Pyx_mul_const_unsigned_int_checking_overflow(a, b, overflow);
    }
}
static CYTHON_INLINE unsigned int __Pyx_mul_const_unsigned_int_checking_overflow(unsigned int a, unsigned int b, int *overflow) {
    unsigned int prod;
    if (__Pyx_is_constant(a) && !__Pyx_is_constant(b)) {
        unsigned int temp = b;
        b = a;
        a = temp;
    }
    prod = a * b;
    if (b != 0)
        *overflow |= a > (__PYX_MAX(unsigned int) / b);
    return prod;
}
#endif // __PYX_HAVE_BUILTIN_OVERFLOW
static CYTHON_INLINE unsigned int __Pyx_div_unsigned_int_checking_overflow(unsigned int a, unsigned int b, int *overflow) {
    if (b == 0) {
        *overflow |= 1;
        return 0;
    }
    return a / b;
}

/* BaseCaseUnsigned */
#if defined(__PYX_HAVE_BUILTIN_OVERFLOW)
static CYTHON_INLINE unsigned long __Pyx_add_unsigned_long_checking_overflow(unsigned long a, unsigned long b, int *overflow) {
    unsigned long result;
    *overflow |= __builtin_add_overflow(a, b, &result);
    return result;
}
static CYTHON_INLINE unsigned long __Pyx_sub_unsigned_long_checking_overflow(unsigned long a, unsigned long b, int *overflow) {
    unsigned long result;
    *overflow |= __builtin_sub_overflow(a, b, &result);
    return result;
}
static CYTHON_INLINE unsigned long __Pyx_mul_unsigned_long_checking_overflow(unsigned long a, unsigned long b, int *overflow) {
    unsigned long result;
    *overflow |= __builtin_mul_overflow(a, b, &result);
    return result;
}
#else
static CYTHON_INLINE unsigned long __Pyx_add_unsigned_long_checking_overflow(unsigned long a, unsigned long b, int *overflow) {
    unsigned long r = a + b;
    *overflow |= r < a;
    return r;
}
static CYTHON_INLINE unsigned long __Pyx_sub_unsigned_long_checking_overflow(unsigned long a, unsigned long b, int *overflow) {
    unsigned long r = a - b;
    *overflow |= r > a;
    return r;
}
static CYTHON_INLINE unsigned long __Pyx_mul_unsigned_long_checking_overflow(unsigned long a, unsigned long b, int *overflow) {
    if (__Pyx_is_constant(b)) {
        return __Pyx_mul_const_unsigned_long_checking_overflow(a, b, overflow);
    } else if (__Pyx_is_constant(a)) {
        return __Pyx_mul_const_unsigned_long_checking_overflow(b, a, overflow);
    } else if ((sizeof(unsigned long) < sizeof(unsigned long))) {
        unsigned long big_r = ((unsigned long) a) * ((unsigned long) b);
        unsigned long r = (unsigned long) big_r;
        *overflow |= big_r != r;
        return r;
    } else if ((sizeof(unsigned long) < sizeof(unsigned PY_LONG_LONG))) {
        unsigned PY_LONG_LONG big_r = ((unsigned PY_LONG_LONG) a) * ((unsigned PY_LONG_LONG) b);
        unsigned long r = (unsigned long) big_r;
        *overflow |= big_r != r;
        return r;
    } else {
        return __Pyx_mul_const_unsigned_long_checking_overflow(a, b, overflow);
    }
}
static CYTHON_INLINE unsigned long __Pyx_mul_const_unsigned_long_checking_overflow(unsigned long a, unsigned long b, int *overflow) {
    unsigned long prod;
    if (__Pyx_is_constant(a) && !__Pyx_is_constant(b)) {
        unsigned long temp = b;
        b = a;
        a = temp;
    }
    prod = a * b;
    if (b != 0)
        *overflow |= a > (__PYX_MAX(unsigned long) / b);
    return prod;
}
#endif // __PYX_HAVE_BUILTIN_OVERFLOW
static CYTHON_INLINE unsigned long __Pyx_div_unsigned_long_checking_overflow(unsigned long a, unsigned long b, int *overflow) {
    if (b == 0) {
        *overflow |= 1;
        return 0;
    }
    return a / b;
}

/* BaseCaseUnsigned */
#if defined(__PYX_HAVE_BUILTIN_OVERFLOW)
static CYTHON_INLINE unsigned long long __Pyx_add_unsigned_long_long_checking_overflow(unsigned long long a, unsigned long long b, int *overflow) {
    unsigned long long result;
    *overflow |= __builtin_add_overflow(a, b, &result);
    return result;
}
static CYTHON_INLINE unsigned long long __Pyx_sub_unsigned_long_long_checking_overflow(unsigned long long a, unsigned long long b, int *overflow) {
    unsigned long long result;
    *overflow |= __builtin_sub_overflow(a, b, &result);
    return result;
}
static CYTHON_INLINE unsigned long long __Pyx_mul_unsigned_long_long_checking_overflow(unsigned long long a, unsigned long long b, int *overflow) {
    unsigned long long result;
    *overflow |= __builtin_mul_overflow(a, b, &result);
    return result;
}
#else
static CYTHON_INLINE unsigned long long __Pyx_add_unsigned_long_long_checking_overflow(unsigned long long a, unsigned long long b, int *overflow) {
    unsigned long long r = a + b;
    *overflow |= r < a;
    return r;
}
static CYTHON_INLINE unsigned long long __Pyx_sub_unsigned_long_long_checking_overflow(unsigned long long a, unsigned long long b, int *overflow) {
    unsigned long long r = a - b;
    *overflow |= r > a;
    return r;
}
static CYTHON_INLINE unsigned long long __Pyx_mul_unsigned_long_long_checking_overflow(unsigned long long a, unsigned long long b, int *overflow) {
    if (__Pyx_is_constant(b)) {
        return __Pyx_mul_const_unsigned_long_long_checking_overflow(a, b, overflow);
    } else if (__Pyx_is_constant(a)) {
        return __Pyx_mul_const_unsigned_long_long_checking_overflow(b, a, overflow);
    } else if ((sizeof(unsigned long long) < sizeof(unsigned long))) {
        unsigned long big_r = ((unsigned long) a) * ((unsigned long) b);
        unsigned long long r = (unsigned long long) big_r;
        *overflow |= big_r != r;
        return r;
    } else if ((sizeof(unsigned long long) < sizeof(unsigned PY_LONG_LONG))) {
        unsigned PY_LONG_LONG big_r = ((unsigned PY_LONG_LONG) a) * ((unsigned PY_LONG_LONG) b);
        unsigned long long r = (unsigned long long) big_r;
        *overflow |= big_r != r;
        return r;
    } else {
        return __Pyx_mul_const_unsigned_long_long_checking_overflow(a, b, overflow);
    }
}
static CYTHON_INLINE unsigned long long __Pyx_mul_const_unsigned_long_long_checking_overflow(unsigned long long a, unsigned long long b, int *overflow) {
    unsigned long long prod;
    if (__Pyx_is_constant(a) && !__Pyx_is_constant(b)) {
        unsigned long long temp = b;
        b = a;
        a = temp;
    }
    prod = a * b;
    if (b != 0)
        *overflow |= a > (__PYX_MAX(unsigned long long) / b);
    return prod;
}
#endif // __PYX_HAVE_BUILTIN_OVERFLOW
static CYTHON_INLINE unsigned long long __Pyx_div_unsigned_long_long_checking_overflow(unsigned long long a, unsigned long long b, int *overflow) {
    if (b == 0) {
        *overflow |= 1;
        return 0;
    }
    return a / b;
}

/* Binop */
static CYTHON_INLINE int64_t __Pyx_mul_int64_t_checking_overflow(int64_t a, int64_t b, int *overflow) {
    if ((sizeof(int64_t) < sizeof(int))) {
        return __Pyx_mul_no_overflow(a, b, overflow);
    } else if (__PYX_IS_UNSIGNED(int64_t)) {
        if ((sizeof(int64_t) == sizeof(unsigned int))) {
            return (int64_t) __Pyx_mul_unsigned_int_checking_overflow(a, b, overflow);
        } else if ((sizeof(int64_t) == sizeof(unsigned long))) {
            return (int64_t) __Pyx_mul_unsigned_long_checking_overflow(a, b, overflow);
        } else if ((sizeof(int64_t) == sizeof(unsigned PY_LONG_LONG))) {
            return (int64_t) __Pyx_mul_unsigned_long_long_checking_overflow(a, b, overflow);
        } else {
            Py_FatalError(
                "__Pyx_mul_int64_t_checking_overflow(int64_t) executed an unexpected code path. "
                "Please report this as a bug in Cython"
            );
            return 0;
        }
    } else {
        if ((sizeof(int64_t) == sizeof(int))) {
            return (int64_t) __Pyx_mul_int_checking_overflow(a, b, overflow);
        } else if ((sizeof(int64_t) == sizeof(long))) {
            return (int64_t) __Pyx_mul_long_checking_overflow(a, b, overflow);
        } else if ((sizeof(int64_t) == sizeof(PY_LONG_LONG))) {
            return (int64_t) __Pyx_mul_long_long_checking_overflow(a, b, overflow);
        } else {
            Py_FatalError(
                "__Pyx_mul_int64_t_checking_overflow(int64_t) executed an unexpected code path. "
                "Please report this as a bug in Cython"
            );
            return 0;
        }
    }
}

/* Binop */
static CYTHON_INLINE int64_t __Pyx_sub_int64_t_checking_overflow(int64_t a, int64_t b, int *overflow) {
    if ((sizeof(int64_t) < sizeof(int))) {
        return __Pyx_sub_no_overflow(a, b, overflow);
    } else if (__PYX_IS_UNSIGNED(int64_t)) {
        if ((sizeof(int64_t) == sizeof(unsigned int))) {
            return (int64_t) __Pyx_sub_unsigned_int_checking_overflow(a, b, overflow);
        } else if ((sizeof(int64_t) == sizeof(unsigned long))) {
            return (int64_t) __Pyx_sub_unsigned_long_checking_overflow(a, b, overflow);
        } else if ((sizeof(int64_t) == sizeof(unsigned PY_LONG_LONG))) {
            return (int64_t) __Pyx_sub_unsigned_long_long_checking_overflow(a, b, overflow);
        } else {
            Py_FatalError(
                "__Pyx_sub_int64_t_checking_overflow(int64_t) executed an unexpected code path. "
                "Please report this as a bug in Cython"
            );
            return 0;
        }
    } else {
        if ((sizeof(int64_t) == sizeof(int))) {
            return (int64_t) __Pyx_sub_int_checking_overflow(a, b, overflow);
        } else if ((sizeof(int64_t) == sizeof(long))) {
            return (int64_t) __Pyx_sub_long_checking_overflow(a, b, overflow);
        } else if ((sizeof(int64_t) == sizeof(PY_LONG_LONG))) {
            return (int64_t) __Pyx_sub_long_long_checking_overflow(a, b, overflow);
        } else {
            Py_FatalError(
                "__Pyx_sub_int64_t_checking_overflow(int64_t) executed an unexpected code path. "
                "Please report this as a bug in Cython"
            );
            return 0;
        }
    }
}

/* Binop */
static CYTHON_INLINE int64_t __Pyx_add_int64_t_checking_overflow(int64_t a, int64_t b, int *overflow) {
    if ((sizeof(int64_t) < sizeof(int))) {
        return __Pyx_add_no_overflow(a, b, overflow);
    } else if (__PYX_IS_UNSIGNED(int64_t)) {
        if ((sizeof(int64_t) == sizeof(unsigned int))) {
            return (int64_t) __Pyx_add_unsigned_int_checking_overflow(a, b, overflow);
        } else if ((sizeof(int64_t) == sizeof(unsigned long))) {
            return (int64_t) __Pyx_add_unsigned_long_checking_overflow(a, b, overflow);
        } else if ((sizeof(int64_t) == sizeof(unsigned PY_LONG_LONG))) {
            return (int64_t) __Pyx_add_unsigned_long_long_checking_overflow(a, b, overflow);
        } else {
            Py_FatalError(
                "__Pyx_add_int64_t_checking_overflow(int64_t) executed an unexpected code path. "
                "Please report this as a bug in Cython"
            );
            return 0;
        }
    } else {
        if ((sizeof(int64_t) == sizeof(int))) {
            return (int64_t) __Pyx_add_int_checking_overflow(a, b, overflow);
        } else if ((sizeof(int64_t) == sizeof(long))) {
            return (int64_t) __Pyx_add_long_checking_overflow(a, b, overflow);
        } else if ((sizeof(int64_t) == sizeof(PY_LONG_LONG))) {
            return (int64_t) __Pyx_add_long_long_checking_overflow(a, b, overflow);
        } else {
            Py_FatalError(
                "__Pyx_add_int64_t_checking_overflow(int64_t) executed an unexpected code path. "
                "Please report this as a bug in Cython"
            );
            return 0;
        }
    }
}

/* Binop */
static CYTHON_INLINE int64_t __Pyx_sub_const_int64_t_checking_overflow(int64_t a, int64_t b, int *overflow) {
    if ((sizeof(int64_t) < sizeof(int))) {
        return __Pyx_sub_const_no_overflow(a, b, overflow);
    } else if (__PYX_IS_UNSIGNED(int64_t)) {
        if ((sizeof(int64_t) == sizeof(unsigned int))) {
            return (int64_t) __Pyx_sub_const_unsigned_int_checking_overflow(a, b, overflow);
        } else if ((sizeof(int64_t) == sizeof(unsigned long))) {
            return (int64_t) __Pyx_sub_const_unsigned_long_checking_overflow(a, b, overflow);
        } else if ((sizeof(int64_t) == sizeof(unsigned PY_LONG_LONG))) {
            return (int64_t) __Pyx_sub_const_unsigned_long_long_checking_overflow(a, b, overflow);
        } else {
            Py_FatalError(
                "__Pyx_sub_const_int64_t_checking_overflow(int64_t) executed an unexpected code path. "
                "Please report this as a bug in Cython"
            );
            return 0;
        }
    } else {
        if ((sizeof(int64_t) == sizeof(int))) {
            return (int64_t) __Pyx_sub_const_int_checking_overflow(a, b, overflow);
        } else if ((sizeof(int64_t) == sizeof(long))) {
            return (int64_t) __Pyx_sub_const_long_checking_overflow(a, b, overflow);
        } else if ((sizeof(int64_t) == sizeof(PY_LONG_LONG))) {
            return (int64_t) __Pyx_sub_const_long_long_checking_overflow(a, b, overflow);
        } else {
            Py_FatalError(
                "__Pyx_sub_const_int64_t_checking_overflow(int64_t) executed an unexpected code path. "
                "Please report this as a bug in Cython"
            );
            return 0;
        }
    }
}

/* Binop */
static CYTHON_INLINE __pyx_t_4cuda_4core_7_layout_extent_t __Pyx_mul___pyx_t_4cuda_4core_7_layout_extent_t_checking_overflow(__pyx_t_4cuda_4core_7_layout_extent_t a, __pyx_t_4cuda_4core_7_layout_extent_t b, int *overflow) {
    if ((sizeof(__pyx_t_4cuda_4core_7_layout_extent_t) < sizeof(int))) {
        return __Pyx_mul_no_overflow(a, b, overflow);
    } else if (__PYX_IS_UNSIGNED(__pyx_t_4cuda_4core_7_layout_extent_t)) {
        if ((sizeof(__pyx_t_4cuda_4core_7_layout_extent_t) == sizeof(unsigned int))) {
            return (__pyx_t_4cuda_4core_7_layout_extent_t) __Pyx_mul_unsigned_int_checking_overflow(a, b, overflow);
        } else if ((sizeof(__pyx_t_4cuda_4core_7_layout_extent_t) == sizeof(unsigned long))) {
            return (__pyx_t_4cuda_4core_7_layout_extent_t) __Pyx_mul_unsigned_long_checking_overflow(a, b, overflow);
        } else if ((sizeof(__pyx_t_4cuda_4core_7_layout_extent_t) == sizeof(unsigned PY_LONG_LONG))) {
            return (__pyx_t_4cuda_4core_7_layout_extent_t) __Pyx_mul_unsigned_long_long_checking_overflow(a, b, overflow);
        } else {
            Py_FatalError(
                "__Pyx_mul___pyx_t_4cuda_4core_7_layout_extent_t_checking_overflow(__pyx_t_4cuda_4core_7_layout_extent_t) executed an unexpected code path. "
                "Please report this as a bug in Cython"
            );
            return 0;
        }
    } else {
        if ((sizeof(__pyx_t_4cuda_4core_7_layout_extent_t) == sizeof(int))) {
            return (__pyx_t_4cuda_4core_7_layout_extent_t) __Pyx_mul_int_checking_overflow(a, b, overflow);
        } else if ((sizeof(__pyx_t_4cuda_4core_7_layout_extent_t) == sizeof(long))) {
            return (__pyx_t_4cuda_4core_7_layout_extent_t) __Pyx_mul_long_checking_overflow(a, b, overflow);
        } else if ((sizeof(__pyx_t_4cuda_4core_7_layout_extent_t) == sizeof(PY_LONG_LONG))) {
            return (__pyx_t_4cuda_4core_7_layout_extent_t) __Pyx_mul_long_long_checking_overflow(a, b, overflow);
        } else {
            Py_FatalError(
                "__Pyx_mul___pyx_t_4cuda_4core_7_layout_extent_t_checking_overflow(__pyx_t_4cuda_4core_7_layout_extent_t) executed an unexpected code path. "
                "Please report this as a bug in Cython"
            );
            return 0;
        }
    }
}

/* PyObjectVectorCallKwBuilder (used by CIntToPy) */
#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

/* 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;
}

/* CIntToPy */
static CYTHON_INLINE PyObject* __Pyx_PyLong_From_int64_t(int64_t value) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const int64_t neg_one = (int64_t) -1, const_zero = (int64_t) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(int64_t) < sizeof(long)) {
            return PyLong_FromLong((long) value);
        } else if (sizeof(int64_t) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#if !CYTHON_COMPILING_IN_PYPY
        } else if (sizeof(int64_t) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(int64_t) <= sizeof(long)) {
            return PyLong_FromLong((long) value);
        } else if (sizeof(int64_t) <= 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(int64_t),
                                     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(int64_t));
        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 int64_t __Pyx_PyLong_As_int64_t(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const int64_t neg_one = (int64_t) -1, const_zero = (int64_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))) {
        int64_t val;
        PyObject *tmp = __Pyx_PyNumber_Long(x);
        if (!tmp) return (int64_t) -1;
        val = __Pyx_PyLong_As_int64_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(int64_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(int64_t) > 1 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(int64_t, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(int64_t) >= 2 * PyLong_SHIFT)) {
                            return (int64_t) (((((int64_t)digits[1]) << PyLong_SHIFT) | (int64_t)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if ((8 * sizeof(int64_t) > 2 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(int64_t, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(int64_t) >= 3 * PyLong_SHIFT)) {
                            return (int64_t) (((((((int64_t)digits[2]) << PyLong_SHIFT) | (int64_t)digits[1]) << PyLong_SHIFT) | (int64_t)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if ((8 * sizeof(int64_t) > 3 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(int64_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(int64_t) >= 4 * PyLong_SHIFT)) {
                            return (int64_t) (((((((((int64_t)digits[3]) << PyLong_SHIFT) | (int64_t)digits[2]) << PyLong_SHIFT) | (int64_t)digits[1]) << PyLong_SHIFT) | (int64_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 (int64_t) -1;
            if (unlikely(result == 1))
                goto raise_neg_overflow;
        }
#endif
        if ((sizeof(int64_t) <= sizeof(unsigned long))) {
            __PYX_VERIFY_RETURN_INT_EXC(int64_t, unsigned long, PyLong_AsUnsignedLong(x))
        } else if ((sizeof(int64_t) <= sizeof(unsigned PY_LONG_LONG))) {
            __PYX_VERIFY_RETURN_INT_EXC(int64_t, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
        }
    } else {
#if CYTHON_USE_PYLONG_INTERNALS
        if (__Pyx_PyLong_IsCompact(x)) {
            __PYX_VERIFY_RETURN_INT(int64_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(int64_t) - 1 > 1 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(int64_t, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(int64_t) - 1 > 2 * PyLong_SHIFT)) {
                            return (int64_t) (((int64_t)-1)*(((((int64_t)digits[1]) << PyLong_SHIFT) | (int64_t)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if ((8 * sizeof(int64_t) > 1 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(int64_t, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(int64_t) - 1 > 2 * PyLong_SHIFT)) {
                            return (int64_t) ((((((int64_t)digits[1]) << PyLong_SHIFT) | (int64_t)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if ((8 * sizeof(int64_t) - 1 > 2 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(int64_t, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(int64_t) - 1 > 3 * PyLong_SHIFT)) {
                            return (int64_t) (((int64_t)-1)*(((((((int64_t)digits[2]) << PyLong_SHIFT) | (int64_t)digits[1]) << PyLong_SHIFT) | (int64_t)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if ((8 * sizeof(int64_t) > 2 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(int64_t, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(int64_t) - 1 > 3 * PyLong_SHIFT)) {
                            return (int64_t) ((((((((int64_t)digits[2]) << PyLong_SHIFT) | (int64_t)digits[1]) << PyLong_SHIFT) | (int64_t)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if ((8 * sizeof(int64_t) - 1 > 3 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(int64_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(int64_t) - 1 > 4 * PyLong_SHIFT)) {
                            return (int64_t) (((int64_t)-1)*(((((((((int64_t)digits[3]) << PyLong_SHIFT) | (int64_t)digits[2]) << PyLong_SHIFT) | (int64_t)digits[1]) << PyLong_SHIFT) | (int64_t)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if ((8 * sizeof(int64_t) > 3 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(int64_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(int64_t) - 1 > 4 * PyLong_SHIFT)) {
                            return (int64_t) ((((((((((int64_t)digits[3]) << PyLong_SHIFT) | (int64_t)digits[2]) << PyLong_SHIFT) | (int64_t)digits[1]) << PyLong_SHIFT) | (int64_t)digits[0])));
                        }
                    }
                    break;
            }
        }
#endif
        if ((sizeof(int64_t) <= sizeof(long))) {
            __PYX_VERIFY_RETURN_INT_EXC(int64_t, long, PyLong_AsLong(x))
        } else if ((sizeof(int64_t) <= sizeof(PY_LONG_LONG))) {
            __PYX_VERIFY_RETURN_INT_EXC(int64_t, PY_LONG_LONG, PyLong_AsLongLong(x))
        }
    }
    {
        int64_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 (int64_t) -1;
            assert(PyLong_CheckExact(v));
        }
        {
            int result = PyObject_RichCompareBool(v, Py_False, Py_LT);
            if (unlikely(result < 0)) {
                Py_DECREF(v);
                return (int64_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 (int64_t) -1;
        } else {
            stepval = v;
        }
        v = NULL;
        val = (int64_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(int64_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 |= ((int64_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(int64_t) * 8) - bits - (is_unsigned ? 0 : 1);
            if (unlikely(idigit >= (1L << remaining_bits)))
                goto raise_overflow;
            val |= ((int64_t) idigit) << bits;
        }
        if (!is_unsigned) {
            if (unlikely(val & (((int64_t) 1) << (sizeof(int64_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 (int64_t) -1;
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to int64_t");
    return (int64_t) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to int64_t");
    return (int64_t) -1;
}

/* CIntFromPy */
static CYTHON_INLINE int32_t __Pyx_PyLong_As_int32_t(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const int32_t neg_one = (int32_t) -1, const_zero = (int32_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))) {
        int32_t val;
        PyObject *tmp = __Pyx_PyNumber_Long(x);
        if (!tmp) return (int32_t) -1;
        val = __Pyx_PyLong_As_int32_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(int32_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(int32_t) > 1 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(int32_t, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(int32_t) >= 2 * PyLong_SHIFT)) {
                            return (int32_t) (((((int32_t)digits[1]) << PyLong_SHIFT) | (int32_t)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if ((8 * sizeof(int32_t) > 2 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(int32_t, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(int32_t) >= 3 * PyLong_SHIFT)) {
                            return (int32_t) (((((((int32_t)digits[2]) << PyLong_SHIFT) | (int32_t)digits[1]) << PyLong_SHIFT) | (int32_t)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if ((8 * sizeof(int32_t) > 3 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(int32_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(int32_t) >= 4 * PyLong_SHIFT)) {
                            return (int32_t) (((((((((int32_t)digits[3]) << PyLong_SHIFT) | (int32_t)digits[2]) << PyLong_SHIFT) | (int32_t)digits[1]) << PyLong_SHIFT) | (int32_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 (int32_t) -1;
            if (unlikely(result == 1))
                goto raise_neg_overflow;
        }
#endif
        if ((sizeof(int32_t) <= sizeof(unsigned long))) {
            __PYX_VERIFY_RETURN_INT_EXC(int32_t, unsigned long, PyLong_AsUnsignedLong(x))
        } else if ((sizeof(int32_t) <= sizeof(unsigned PY_LONG_LONG))) {
            __PYX_VERIFY_RETURN_INT_EXC(int32_t, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
        }
    } else {
#if CYTHON_USE_PYLONG_INTERNALS
        if (__Pyx_PyLong_IsCompact(x)) {
            __PYX_VERIFY_RETURN_INT(int32_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(int32_t) - 1 > 1 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(int32_t, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(int32_t) - 1 > 2 * PyLong_SHIFT)) {
                            return (int32_t) (((int32_t)-1)*(((((int32_t)digits[1]) << PyLong_SHIFT) | (int32_t)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if ((8 * sizeof(int32_t) > 1 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(int32_t, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(int32_t) - 1 > 2 * PyLong_SHIFT)) {
                            return (int32_t) ((((((int32_t)digits[1]) << PyLong_SHIFT) | (int32_t)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if ((8 * sizeof(int32_t) - 1 > 2 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(int32_t, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(int32_t) - 1 > 3 * PyLong_SHIFT)) {
                            return (int32_t) (((int32_t)-1)*(((((((int32_t)digits[2]) << PyLong_SHIFT) | (int32_t)digits[1]) << PyLong_SHIFT) | (int32_t)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if ((8 * sizeof(int32_t) > 2 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(int32_t, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(int32_t) - 1 > 3 * PyLong_SHIFT)) {
                            return (int32_t) ((((((((int32_t)digits[2]) << PyLong_SHIFT) | (int32_t)digits[1]) << PyLong_SHIFT) | (int32_t)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if ((8 * sizeof(int32_t) - 1 > 3 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(int32_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(int32_t) - 1 > 4 * PyLong_SHIFT)) {
                            return (int32_t) (((int32_t)-1)*(((((((((int32_t)digits[3]) << PyLong_SHIFT) | (int32_t)digits[2]) << PyLong_SHIFT) | (int32_t)digits[1]) << PyLong_SHIFT) | (int32_t)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if ((8 * sizeof(int32_t) > 3 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(int32_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(int32_t) - 1 > 4 * PyLong_SHIFT)) {
                            return (int32_t) ((((((((((int32_t)digits[3]) << PyLong_SHIFT) | (int32_t)digits[2]) << PyLong_SHIFT) | (int32_t)digits[1]) << PyLong_SHIFT) | (int32_t)digits[0])));
                        }
                    }
                    break;
            }
        }
#endif
        if ((sizeof(int32_t) <= sizeof(long))) {
            __PYX_VERIFY_RETURN_INT_EXC(int32_t, long, PyLong_AsLong(x))
        } else if ((sizeof(int32_t) <= sizeof(PY_LONG_LONG))) {
            __PYX_VERIFY_RETURN_INT_EXC(int32_t, PY_LONG_LONG, PyLong_AsLongLong(x))
        }
    }
    {
        int32_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 (int32_t) -1;
            assert(PyLong_CheckExact(v));
        }
        {
            int result = PyObject_RichCompareBool(v, Py_False, Py_LT);
            if (unlikely(result < 0)) {
                Py_DECREF(v);
                return (int32_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 (int32_t) -1;
        } else {
            stepval = v;
        }
        v = NULL;
        val = (int32_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(int32_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 |= ((int32_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(int32_t) * 8) - bits - (is_unsigned ? 0 : 1);
            if (unlikely(idigit >= (1L << remaining_bits)))
                goto raise_overflow;
            val |= ((int32_t) idigit) << bits;
        }
        if (!is_unsigned) {
            if (unlikely(val & (((int32_t) 1) << (sizeof(int32_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 (int32_t) -1;
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to int32_t");
    return (int32_t) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to int32_t");
    return (int32_t) -1;
}

/* CIntToPy */
static CYTHON_INLINE PyObject* __Pyx_PyLong_From_uint64_t(uint64_t value) {
#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 (is_unsigned) {
        if (sizeof(uint64_t) < sizeof(long)) {
            return PyLong_FromLong((long) value);
        } else if (sizeof(uint64_t) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#if !CYTHON_COMPILING_IN_PYPY
        } else if (sizeof(uint64_t) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(uint64_t) <= sizeof(long)) {
            return PyLong_FromLong((long) value);
        } else if (sizeof(uint64_t) <= 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(uint64_t),
                                     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(uint64_t));
        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 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_int32_t(int32_t value) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const int32_t neg_one = (int32_t) -1, const_zero = (int32_t) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(int32_t) < sizeof(long)) {
            return PyLong_FromLong((long) value);
        } else if (sizeof(int32_t) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#if !CYTHON_COMPILING_IN_PYPY
        } else if (sizeof(int32_t) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(int32_t) <= sizeof(long)) {
            return PyLong_FromLong((long) value);
        } else if (sizeof(int32_t) <= 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(int32_t),
                                     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(int32_t));
        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
    }
}

/* 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__4);
    }
    goto done;
}
#endif

/* 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 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
}

/* 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 */
