cshockCapturing.c

Go to the documentation of this file.

/* Generated by Cython 3.3.0 */
 
/* BEGIN: Cython Metadata
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#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
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#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)
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#ifndef CYTHON_MAYBE_UNUSED_VAR
  #define CYTHON_MAYBE_UNUSED_VAR(x) CYTHON_UNUSED_VAR(x)
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#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
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#ifndef CYTHON_USE_CPP_STD_MOVE
  #if defined(__cplusplus) && (\
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    #define CYTHON_USE_CPP_STD_MOVE 0
  #endif
#endif
#define __Pyx_void_to_None(void_result) ((void)(void_result), Py_INCREF(Py_None), Py_None)
#include <stdint.h>
typedef uintptr_t  __pyx_uintptr_t;
#ifndef CYTHON_FALLTHROUGH
  #if defined(__cplusplus)
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      #if __has_cpp_attribute(clang::fallthrough)
        #define CYTHON_FALLTHROUGH [[clang::fallthrough]]
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        #define CYTHON_FALLTHROUGH [[gnu::fallthrough]]
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      #define CYTHON_FALLTHROUGH __attribute__((fallthrough))
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      #define CYTHON_FALLTHROUGH
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#ifdef Py_UNREACHABLE
  #define __Pyx_UNREACHABLE() Py_UNREACHABLE()
#elif __Pyx_has_cbuiltin(__builtin_unreachable)
  #define __Pyx_UNREACHABLE() __builtin_unreachable()
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#elif defined(_MSC_VER)
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#ifndef Py_UNREACHABLE
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  struct __PYX_IS_UNSIGNED_IMPL {static const bool value = T(0) < T(-1);};
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#define __PYX_REINTERPRET_FUNCION(func_pointer, other_pointer) ((func_pointer)(void(*)(void))(other_pointer))
#if __PYX_LIMITED_VERSION_HEX < 0x030C0000
#define __Pyx_PyErr_FetchException(petype, peval, petb) PyErr_Fetch(petype, peval, petb)
#define __Pyx_PyErr_RestoreException(etype, eval, etb) PyErr_Restore(etype, eval, etb)
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#define __Pyx_PyErr_FetchException(petype, peval, petb) *(petype)=NULL; *(peval)=PyErr_GetRaisedException(); *(petb)=NULL
#define __Pyx_PyErr_RestoreException(etype, eval, etb) PyErr_SetRaisedException(eval)
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/* CInitCode */
#ifndef CYTHON_INLINE
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  #elif defined(_MSC_VER)
    #define CYTHON_INLINE __inline
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    #define CYTHON_INLINE inline
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    #define CYTHON_INLINE
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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
#if CYTHON_COMPILING_IN_LIMITED_API
    #ifndef CO_OPTIMIZED
    static int CO_OPTIMIZED;
    #endif
    #ifndef CO_NEWLOCALS
    static int CO_NEWLOCALS;
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    #ifndef CO_VARARGS
    static int CO_VARARGS;
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    #ifndef CO_VARKEYWORDS
    static int CO_VARKEYWORDS;
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    #ifndef CO_ASYNC_GENERATOR
    static int CO_ASYNC_GENERATOR;
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    #ifndef CO_GENERATOR
    static int CO_GENERATOR;
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    #ifndef CO_COROUTINE
    static int CO_COROUTINE;
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#else
    #ifndef CO_COROUTINE
      #define CO_COROUTINE 0x80
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    #ifndef CO_ASYNC_GENERATOR
      #define CO_ASYNC_GENERATOR 0x200
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static int __Pyx_init_co_variables(void);
#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_Is)
  #define __Pyx_Py_Is(x, y)  Py_Is(x, y)
#else
  #define __Pyx_Py_Is(x, y) ((x) == (y))
#endif
#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_IsNone)
  #define __Pyx_Py_IsNone(ob) Py_IsNone(ob)
#else
  #define __Pyx_Py_IsNone(ob) __Pyx_Py_Is((ob), Py_None)
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#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_IsTrue)
  #define __Pyx_Py_IsTrue(ob) Py_IsTrue(ob)
#else
  #define __Pyx_Py_IsTrue(ob) __Pyx_Py_Is((ob), Py_True)
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#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_IsFalse)
  #define __Pyx_Py_IsFalse(ob) Py_IsFalse(ob)
#else
  #define __Pyx_Py_IsFalse(ob) __Pyx_Py_Is((ob), Py_False)
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#define __Pyx_NoneAsNull(obj)  (__Pyx_Py_IsNone(obj) ? NULL : (obj))
#if CYTHON_COMPILING_IN_PYPY
  #define __Pyx_PyObject_GC_IsFinalized(o) _PyGC_FINALIZED(o)
#else
  #define __Pyx_PyObject_GC_IsFinalized(o) PyObject_GC_IsFinalized(o)
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#if CYTHON_COMPILING_IN_LIMITED_API
static unsigned long __Pyx_Runtime_TPFLAGS_SEQUENCE;
static unsigned long __Pyx_Runtime_TPFLAGS_MAPPING;
#else
#define __Pyx_Runtime_TPFLAGS_SEQUENCE Py_TPFLAGS_SEQUENCE
#define __Pyx_Runtime_TPFLAGS_MAPPING Py_TPFLAGS_MAPPING
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static int __Pyx_init_tpflags_variables(void);
#ifndef Py_TPFLAGS_HAVE_FINALIZE
  #define Py_TPFLAGS_HAVE_FINALIZE 0
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#ifndef Py_TPFLAGS_SEQUENCE
  #define Py_TPFLAGS_SEQUENCE (CYTHON_COMPILING_IN_LIMITED_API ? 0 : 1 << 5)
#endif
#ifndef Py_TPFLAGS_MAPPING
  #define Py_TPFLAGS_MAPPING (CYTHON_COMPILING_IN_LIMITED_API ? 0 : 1 << 6)
#endif
#ifndef Py_TPFLAGS_IMMUTABLETYPE
  #define Py_TPFLAGS_IMMUTABLETYPE (1UL << 8)
#endif
#ifndef Py_TPFLAGS_DISALLOW_INSTANTIATION
  #define Py_TPFLAGS_DISALLOW_INSTANTIATION (1UL << 7)
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#ifndef METH_STACKLESS
  #define METH_STACKLESS 0
#endif
#if !defined(METH_FASTCALL) || CYTHON_COMPILING_IN_PYPY
  #ifndef METH_FASTCALL
     #define METH_FASTCALL 0x80
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  typedef PyObject *(*__Pyx_PyCFunctionFast) (PyObject *self, PyObject *const *args, Py_ssize_t nargs);
  typedef PyObject *(*__Pyx_PyCFunctionFastWithKeywords) (PyObject *self, PyObject *const *args,
                                                          Py_ssize_t nargs, PyObject *kwnames);
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  #if PY_VERSION_HEX >= 0x030d00A4
  #  define __Pyx_PyCFunctionFast PyCFunctionFast
  #  define __Pyx_PyCFunctionFastWithKeywords PyCFunctionFastWithKeywords
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  #  define __Pyx_PyCFunctionFast _PyCFunctionFast
  #  define __Pyx_PyCFunctionFastWithKeywords _PyCFunctionFastWithKeywords
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#if CYTHON_VECTORCALL
  #define __Pyx_METH_FASTCALL METH_FASTCALL
  #define __Pyx_PyCFunction_FastCall __Pyx_PyCFunctionFast
  #define __Pyx_PyCFunction_FastCallWithKeywords __Pyx_PyCFunctionFastWithKeywords
#else
  #define __Pyx_METH_FASTCALL METH_VARARGS
  #define __Pyx_PyCFunction_FastCall PyCFunction
  #define __Pyx_PyCFunction_FastCallWithKeywords PyCFunctionWithKeywords
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#if CYTHON_VECTORCALL
  #define __pyx_vectorcallfunc vectorcallfunc
  #define __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET  PY_VECTORCALL_ARGUMENTS_OFFSET
  #define __Pyx_PyVectorcall_NARGS(n)  PyVectorcall_NARGS((size_t)(n))
#else
  #define __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET  0
  #define __Pyx_PyVectorcall_NARGS(n)  ((Py_ssize_t)(n))
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#define __Pyx_PyCFunction_CheckExact(func) PyCFunction_CheckExact(func)
#define __Pyx_CyOrPyCFunction_Check(func)  PyCFunction_Check(func)
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_CyOrPyCFunction_GET_FUNCTION(func)  (((PyCFunctionObject*)(func))->m_ml->ml_meth)
#elif !CYTHON_COMPILING_IN_LIMITED_API
#define __Pyx_CyOrPyCFunction_GET_FUNCTION(func)  PyCFunction_GET_FUNCTION(func)
#endif
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_CyOrPyCFunction_GET_FLAGS(func)  (((PyCFunctionObject*)(func))->m_ml->ml_flags)
static CYTHON_INLINE PyObject* __Pyx_CyOrPyCFunction_GET_SELF(PyObject *func) {
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}
#endif
static CYTHON_INLINE int __Pyx__IsSameCFunction(PyObject *func, void (*cfunc)(void)) {
#if CYTHON_COMPILING_IN_LIMITED_API
    return PyCFunction_Check(func) && PyCFunction_GetFunction(func) == (PyCFunction) cfunc;
#else
    return PyCFunction_Check(func) && PyCFunction_GET_FUNCTION(func) == (PyCFunction) cfunc;
#endif
}
#define __Pyx_IsSameCFunction(func, cfunc)   __Pyx__IsSameCFunction(func, cfunc)
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
  #define __Pyx_PyType_FromModuleAndSpec(m, s, b)  ((void)m, PyType_FromSpecWithBases(s, b))
#else
  #define __Pyx_PyType_FromModuleAndSpec(m, s, b)  PyType_FromModuleAndSpec(m, s, b)
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#if CYTHON_COMPILING_IN_PYPY
  typedef PyObject *(*__Pyx_PyCMethod)(PyObject *, PyTypeObject *, PyObject *const *, size_t, PyObject *);
#else
  #define __Pyx_PyCMethod  PyCMethod
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#ifndef METH_METHOD
  #define METH_METHOD 0x200
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#if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Malloc)
  #define PyObject_Malloc(s)   PyMem_Malloc(s)
  #define PyObject_Free(p)     PyMem_Free(p)
  #define PyObject_Realloc(p)  PyMem_Realloc(p)
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno)
#elif CYTHON_COMPILING_IN_GRAAL && defined(GRAALPY_VERSION_NUM) && GRAALPY_VERSION_NUM > 0x19000000
  #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno) GraalPyFrame_SetLineNumber((frame), (lineno))
#elif CYTHON_COMPILING_IN_GRAAL
  #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno) _PyFrame_SetLineNumber((frame), (lineno))
#else
  #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno)  (frame)->f_lineno = (lineno)
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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_OPAQUE_OBJECTS && CYTHON_COMPILING_IN_LIMITED_API
    #define __PYX_SHARED_SIZEOF(T) -((int)sizeof(T))
    #define __PYX_SHARED_RELATIVE_OFFSET Py_RELATIVE_OFFSET
    #define CYTHON_OPAQUE_SHARED_TYPES 1
#else
    #define __PYX_SHARED_SIZEOF(T) sizeof(T)
    #define __PYX_SHARED_RELATIVE_OFFSET 0
    #define CYTHON_OPAQUE_SHARED_TYPES 0
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#if CYTHON_USE_MODULE_STATE
static CYTHON_INLINE void *__Pyx__PyModule_GetState(PyObject *op)
{
    void *result;
    result = PyModule_GetState(op);
    if (!result)
        Py_FatalError("Couldn't find the module state");
    return result;
}
#define __Pyx_PyModule_GetState(o) (__pyx_mstatetype *)__Pyx__PyModule_GetState(o)
#else
#define __Pyx_PyModule_GetState(op) ((void)op,__pyx_mstate_global)
#endif
#define __Pyx_PyObject_GetSlot(obj, name, func_ctype)  __Pyx_PyType_GetSlot(Py_TYPE((PyObject *) obj), name, func_ctype)
#define __Pyx_PyObject_TryGetSlot(obj, name, func_ctype) __Pyx_PyType_TryGetSlot(Py_TYPE(obj), name, func_ctype)
#define __Pyx_PyObject_GetSubSlot(obj, sub, name, func_ctype) __Pyx_PyType_GetSubSlot(Py_TYPE(obj), sub, name, func_ctype)
#define __Pyx_PyObject_TryGetSubSlot(obj, sub, name, func_ctype) __Pyx_PyType_TryGetSubSlot(Py_TYPE(obj), sub, name, func_ctype)
#if CYTHON_USE_TYPE_SLOTS
  #define __Pyx_PyType_GetSlot(type, name, func_ctype)  ((type)->name)
  #define __Pyx_PyType_TryGetSlot(type, name, func_ctype) __Pyx_PyType_GetSlot(type, name, func_ctype)
  #define __Pyx_PyType_GetSubSlot(type, sub, name, func_ctype) (((type)->sub) ? ((type)->sub->name) : NULL)
  #define __Pyx_PyType_TryGetSubSlot(type, sub, name, func_ctype) __Pyx_PyType_GetSubSlot(type, sub, name, func_ctype)
#else
  #define __Pyx_PyType_GetSlot(type, name, func_ctype)  ((func_ctype) PyType_GetSlot((type), Py_##name))
  #define __Pyx_PyType_TryGetSlot(type, name, func_ctype)\
    ((__PYX_LIMITED_VERSION_HEX >= 0x030A0000 ||\
     (PyType_GetFlags(type) & Py_TPFLAGS_HEAPTYPE) || __Pyx_get_runtime_version() >= 0x030A0000) ?\
     __Pyx_PyType_GetSlot(type, name, func_ctype) : NULL)
  #define __Pyx_PyType_GetSubSlot(obj, sub, name, func_ctype) __Pyx_PyType_GetSlot(obj, name, func_ctype)
  #define __Pyx_PyType_TryGetSubSlot(obj, sub, name, func_ctype) __Pyx_PyType_TryGetSlot(obj, name, func_ctype)
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#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_Occurred()) {
        PyErr_WriteUnraisable(NULL);
    }
    return res;
}
#elif !CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07020000
#define __Pyx_PyDict_GetItemStrWithError  PyDict_GetItemWithError
#define __Pyx_PyDict_GetItemStr           PyDict_GetItem
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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;
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    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)
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#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)
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#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_KIND_04(u)      __Pyx_PyUnicode_KIND(u)
  #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)) ?\
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  #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
    #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
  static CYTHON_INLINE int __Pyx_PyUnicode_KIND_04(PyObject *o) {
      return __Pyx_PyUnicode_KIND(o) - (int) !!PyUnicode_IS_ASCII(o);
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#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)
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  #if !defined(PyUnicode_Contains)
    #define PyUnicode_Contains(u, s)  PySequence_Contains(u, s)
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  #if !defined(PyByteArray_Check)
    #define PyByteArray_Check(obj)  PyObject_TypeCheck(obj, &PyByteArray_Type)
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  #if !defined(PyObject_Format)
    #define PyObject_Format(obj, fmt)  PyObject_CallMethod(obj, "__format__", "O", fmt)
  #endif
#endif
#define __Pyx_PyUnicode_FormatSafe(a, b)  ((unlikely((a) == Py_None || (PyUnicode_Check(b) && !PyUnicode_CheckExact(b)))) ? PyNumber_Remainder(a, b) : PyUnicode_Format(a, b))
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  #define __Pyx_PySequence_ListKeepNew(obj)\
    (likely(PyList_CheckExact(obj) && PyUnstable_Object_IsUniquelyReferenced(obj)) ? __Pyx_NewRef(obj) : PySequence_List(obj))
#elif CYTHON_COMPILING_IN_CPYTHON
  #define __Pyx_PySequence_ListKeepNew(obj)\
    (likely(PyList_CheckExact(obj) && Py_REFCNT(obj) == 1) ? __Pyx_NewRef(obj) : PySequence_List(obj))
#else
  #define __Pyx_PySequence_ListKeepNew(obj)  PySequence_List(obj)
#endif
#ifndef PySet_CheckExact
  #define PySet_CheckExact(obj)        Py_IS_TYPE(obj, &PySet_Type)
#endif
enum __Pyx_ReferenceSharing {
  __Pyx_ReferenceSharing_DefinitelyUnique, // We created it so we know it's unshared - no need to check
  __Pyx_ReferenceSharing_OwnStrongReference,
  __Pyx_ReferenceSharing_FunctionArgument,
  __Pyx_ReferenceSharing_SharedReference, // Never trust it to be unshared because it's a global or similar
};
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING && PY_VERSION_HEX >= 0x030E0000
#define __Pyx_IS_UNIQUELY_REFERENCED(o, sharing)\
    (sharing == __Pyx_ReferenceSharing_DefinitelyUnique ? 1 :\
      (sharing == __Pyx_ReferenceSharing_FunctionArgument ? PyUnstable_Object_IsUniqueReferencedTemporary(o) :\
      (sharing == __Pyx_ReferenceSharing_OwnStrongReference ? PyUnstable_Object_IsUniquelyReferenced(o) : 0)))
#elif (CYTHON_COMPILING_IN_CPYTHON && !CYTHON_COMPILING_IN_CPYTHON_FREETHREADING) || CYTHON_COMPILING_IN_LIMITED_API
#define __Pyx_IS_UNIQUELY_REFERENCED(o, sharing) (((void)sharing), Py_REFCNT(o) == 1)
#else
#define __Pyx_IS_UNIQUELY_REFERENCED(o, sharing) (((void)o), ((void)sharing), 0)
#endif
#if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
  #define __Pyx_PyList_GetItemRef(o, i) PyList_GetItemRef(o, i)
#elif CYTHON_AVOID_BORROWED_REFS || CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS
  #if 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 && CYTHON_ASSUME_SAFE_SIZE)
  #define __Pyx_PyList_GetItemRef(o, i) __Pyx_XNewRef(PyList_GetItem(o, i))
#else
  #define __Pyx_PyList_GetItemRef(o, i) (likely(__Pyx_is_valid_index(i, PyList_GET_SIZE(o))) ?\
    __Pyx_NewRef(PyList_GET_ITEM(o, i)) : (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL))
#endif
#if CYTHON_AVOID_BORROWED_REFS || CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx_PyList_GET_ITEM_REF(o, i, unsafe_shared)  ((void)(unsafe_shared),\
      __Pyx_PyList_GetItemRef(o, i))
#elif CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS
  #if CYTHON_ASSUME_SAFE_MACROS
  #define __Pyx_PyList_GET_ITEM_REF(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_GET_ITEM_REF(o, i, unsafe_shared) (\
      __Pyx_IS_UNIQUELY_REFERENCED(o, unsafe_shared) ?\
      __Pyx_XNewRef(PyList_GetItem(o, i)) : __Pyx_PyList_GetItemRef(o, i))
  #endif
#elif CYTHON_ASSUME_SAFE_MACROS
  #define __Pyx_PyList_GET_ITEM_REF(o, i, unsafe_shared)  ((void)(unsafe_shared),\
      __Pyx_NewRef(PyList_GET_ITEM(o, i)))
#else
  #define __Pyx_PyList_GET_ITEM_REF(o, i, unsafe_shared)  ((void)(unsafe_shared),\
      __Pyx_XNewRef(PyList_GetItem(o, i)))
#endif
#if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
#define __Pyx_PyDict_GetItemRef(dict, key, result) PyDict_GetItemRef(dict, key, result)
#elif CYTHON_AVOID_BORROWED_REFS || CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS
static CYTHON_INLINE int __Pyx_PyDict_GetItemRef(PyObject *dict, PyObject *key, PyObject **result) {
  *result = PyObject_GetItem(dict, key);
  if (*result == NULL) {
    if (PyErr_ExceptionMatches(PyExc_KeyError)) {
      PyErr_Clear();
      return 0;
    }
    return -1;
  }
  return 1;
}
#else
static CYTHON_INLINE int __Pyx_PyDict_GetItemRef(PyObject *dict, PyObject *key, PyObject **result) {
  *result = PyDict_GetItemWithError(dict, key);
  if (*result == NULL) {
    return PyErr_Occurred() ? -1 : 0;
  }
  Py_INCREF(*result);
  return 1;
}
#endif
#if defined(CYTHON_DEBUG_VISIT_CONST) && CYTHON_DEBUG_VISIT_CONST
  #define __Pyx_VISIT_CONST(obj)  Py_VISIT(obj)
#else
  #define __Pyx_VISIT_CONST(obj)
#endif
#if CYTHON_ASSUME_SAFE_MACROS
  #define __Pyx_PySequence_ITEM(o, i) PySequence_ITEM(o, i)
  #define __Pyx_PySequence_SIZE(seq)  Py_SIZE(seq)
  #define __Pyx_PyTuple_SET_ITEM(o, i, v) (PyTuple_SET_ITEM(o, i, v), (0))
  #define __Pyx_PyTuple_GET_ITEM(o, i) PyTuple_GET_ITEM(o, i)
  #define __Pyx_PyList_SET_ITEM(o, i, v) (PyList_SET_ITEM(o, i, v), (0))
  #define __Pyx_PyList_GET_ITEM(o, i) PyList_GET_ITEM(o, i)
#else
  #define __Pyx_PySequence_ITEM(o, i) PySequence_GetItem(o, i)
  #define __Pyx_PySequence_SIZE(seq)  PySequence_Size(seq)
  #define __Pyx_PyTuple_SET_ITEM(o, i, v) PyTuple_SetItem(o, i, v)
  #define __Pyx_PyTuple_GET_ITEM(o, i) PyTuple_GetItem(o, i)
  #define __Pyx_PyList_SET_ITEM(o, i, v) PyList_SetItem(o, i, v)
  #define __Pyx_PyList_GET_ITEM(o, i) PyList_GetItem(o, i)
#endif
#if CYTHON_ASSUME_SAFE_SIZE
  #define __Pyx_PyTuple_GET_SIZE(o) PyTuple_GET_SIZE(o)
  #define __Pyx_PyList_GET_SIZE(o) PyList_GET_SIZE(o)
  #define __Pyx_PySet_GET_SIZE(o) PySet_GET_SIZE(o)
  #define __Pyx_PyDict_GET_SIZE(o) PyDict_GET_SIZE(o)
  #define __Pyx_PyBytes_GET_SIZE(o) PyBytes_GET_SIZE(o)
  #define __Pyx_PyByteArray_GET_SIZE(o) PyByteArray_GET_SIZE(o)
  #define __Pyx_PyUnicode_GET_LENGTH(o) PyUnicode_GET_LENGTH(o)
#else
  #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_PyDict_GET_SIZE(o) PyDict_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)
#endif
#if CYTHON_COMPILING_IN_PYPY && !defined(PyUnicode_InternFromString)
  #define PyUnicode_InternFromString(s) PyUnicode_FromString(s)
#endif
#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 {
        PYGEN_RETURN = 0,
        PYGEN_ERROR = -1,
        PYGEN_NEXT = 1,
    } __Pyx_PySendResult;
#endif
#if CYTHON_COMPILING_IN_LIMITED_API || PY_VERSION_HEX < 0x030A00A3
  typedef __Pyx_PySendResult (*__Pyx_pyiter_sendfunc)(PyObject *iter, PyObject *value, PyObject **result);
#else
  #define __Pyx_pyiter_sendfunc sendfunc
#endif
#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 {
        unaryfunc am_await;
        unaryfunc am_aiter;
        unaryfunc am_anext;
        __Pyx_pyiter_sendfunc am_send;
    } __Pyx_PyAsyncMethodsStruct;
    #define __Pyx_SlotTpAsAsync(s) ((PyAsyncMethods*)(s))
#endif
#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)
#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) {
    int value;
    PyObject *py_value = PyObject_GetAttrString(inspect, name);
    if (!py_value) return 0;
    value = (int) PyLong_AsLong(py_value);
    Py_DECREF(py_value);
    *write_to = value;
    return value != -1 || !PyErr_Occurred();
}
static int __Pyx_init_co_variables(void) {
    PyObject *inspect;
    int result;
    inspect = PyImport_ImportModule("inspect");
    result =
#if !defined(CO_OPTIMIZED)
        __Pyx_init_co_variable(inspect, "CO_OPTIMIZED", &CO_OPTIMIZED) &&
#endif
#if !defined(CO_NEWLOCALS)
        __Pyx_init_co_variable(inspect, "CO_NEWLOCALS", &CO_NEWLOCALS) &&
#endif
#if !defined(CO_VARARGS)
        __Pyx_init_co_variable(inspect, "CO_VARARGS", &CO_VARARGS) &&
#endif
#if !defined(CO_VARKEYWORDS)
        __Pyx_init_co_variable(inspect, "CO_VARKEYWORDS", &CO_VARKEYWORDS) &&
#endif
#if !defined(CO_ASYNC_GENERATOR)
        __Pyx_init_co_variable(inspect, "CO_ASYNC_GENERATOR", &CO_ASYNC_GENERATOR) &&
#endif
#if !defined(CO_GENERATOR)
        __Pyx_init_co_variable(inspect, "CO_GENERATOR", &CO_GENERATOR) &&
#endif
#if !defined(CO_COROUTINE)
        __Pyx_init_co_variable(inspect, "CO_COROUTINE", &CO_COROUTINE) &&
#endif
        1;
    Py_DECREF(inspect);
    return result ? 0 : -1;
}
static int __Pyx_init_tpflags_bitcount(unsigned long flag) {
    int count = 0;
    while (flag) {
        count += (int) (flag & 1);
        flag >>= 1;
    }
    return count;
}
static int __Pyx_init_tpflags_variables(void) {
    if (__Pyx_Runtime_TPFLAGS_SEQUENCE != 0 && __Pyx_Runtime_TPFLAGS_MAPPING != 0) {
        return 0;
    }
    PyObject *collections_abc = PyImport_ImportModule("collections.abc");
    if (!collections_abc) return -1;
    int result = 0;
    PyObject *sequence = NULL, *mapping = NULL;
#if __PYX_LIMITED_VERSION_HEX >= 0x030D0000
    if (PyObject_GetOptionalAttrString(collections_abc, "Sequence", &sequence) != 1) goto fail;
    if (PyObject_GetOptionalAttrString(collections_abc, "Mapping", &mapping) != 1) goto fail;
#else
    sequence = PyObject_GetAttrString(collections_abc, "Sequence");
    if (!sequence) goto fail_attr_lookup;
    mapping = PyObject_GetAttrString(collections_abc, "Mapping");
    if (!mapping) goto fail_attr_lookup;
#endif
    if (!PyType_Check(sequence) || !PyType_Check(mapping)) goto fail;
    {
        unsigned long sequence_flags = PyType_GetFlags((PyTypeObject*)sequence);
        unsigned long mapping_flags = PyType_GetFlags((PyTypeObject*)mapping);
        unsigned long mutual_flags = sequence_flags & mapping_flags;
        sequence_flags = sequence_flags ^ mutual_flags;
        mapping_flags = mapping_flags ^ mutual_flags;
        if (__Pyx_Runtime_TPFLAGS_SEQUENCE == 0 && __Pyx_init_tpflags_bitcount(sequence_flags) == 1) {
            __Pyx_Runtime_TPFLAGS_SEQUENCE = sequence_flags;
        }
        if (__Pyx_Runtime_TPFLAGS_MAPPING == 0 && __Pyx_init_tpflags_bitcount(mapping_flags) == 1) {
            __Pyx_Runtime_TPFLAGS_MAPPING = mapping_flags;
        }
    }
    cleanup:
    Py_XDECREF(mapping);
    Py_XDECREF(sequence);
    Py_DECREF(collections_abc);
    return result;
#if __PYX_LIMITED_VERSION_HEX < 0x030D0000
    fail_attr_lookup:
    if (PyErr_ExceptionMatches(PyExc_AttributeError)) {
        PyErr_Clear();
    }
#endif
    fail:
    result = PyErr_Occurred() ? -1 : 0;
    goto cleanup;
}
#else
static int __Pyx_init_co_variables(void) {
    return 0;  // It's a limited API-only feature
}
static int __Pyx_init_tpflags_variables(void) {
    return 0;  // It's a limited API-only feature
}
#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 1
#endif
#ifndef CYTHON_CLINE_IN_TRACEBACK
#define CYTHON_CLINE_IN_TRACEBACK CYTHON_CLINE_IN_TRACEBACK_RUNTIME
#endif
#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; }
#else
#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; }
#endif
#define __PYX_ERR(f_index, lineno, Ln_error) \
    { __PYX_MARK_ERR_POS(f_index, lineno) goto Ln_error; }
 
#ifdef CYTHON_EXTERN_C
    #undef __PYX_EXTERN_C
    #define __PYX_EXTERN_C CYTHON_EXTERN_C
#elif defined(__PYX_EXTERN_C)
    #ifdef _MSC_VER
    #pragma message ("Please do not define the '__PYX_EXTERN_C' macro externally. Use 'CYTHON_EXTERN_C' instead.")
    #else
    #warning Please do not define the '__PYX_EXTERN_C' macro externally. Use 'CYTHON_EXTERN_C' instead.
    #endif
#else
  #ifdef __cplusplus
    #define __PYX_EXTERN_C extern "C"
  #else
    #define __PYX_EXTERN_C extern
  #endif
#endif
 
#define __PYX_HAVE__cshockCapturing
#define __PYX_HAVE_API__cshockCapturing
/* Early includes */
#include <string.h>
#include <stdio.h>
 
    /* Using NumPy API declarations from "numpy/__init__.cython-30.pxd" */
    
#include "numpy/arrayobject.h"
#include "numpy/ndarrayobject.h"
#include "numpy/ndarraytypes.h"
#include "numpy/arrayscalars.h"
#include "numpy/ufuncobject.h"
#include "shockCapturing.h"
#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_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)
#endif
#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_PyObject_RichCompareBool(a,b,cmp)  __Pyx_PyObject_IsTrueAndDecref(PyObject_RichCompare((a),(b),(cmp)))
#define __Pyx_PySequence_Tuple(obj)\
    (likely(PyTuple_CheckExact(obj)) ? __Pyx_NewRef(obj) : PySequence_Tuple(obj))
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);
static CYTHON_INLINE PyObject * __Pyx_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)
#define __Pyx_PyFloat_IsNonZero(x) (PyFloat_AS_DOUBLE(x) != 0.0)
#else
#define __Pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x)
#define __Pyx_PyFloat_AS_DOUBLE(x) PyFloat_AsDouble(x)
#define __Pyx_PyFloat_IsNonZero(x) PyObject_IsTrue(x)
#endif
#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
  #endif
  #ifndef _PyLong_NON_SIZE_BITS
    #define _PyLong_NON_SIZE_BITS 3
  #endif
  #define __Pyx_PyLong_SignBits(x)  ((int) (((PyLongObject*)x)->long_value.lv_tag & _PyLong_SIGN_MASK))
  #define __Pyx_PyLong_Sign(x)  (1 - __Pyx_PyLong_SignBits(x))
  #define __Pyx_PyLong_IsNeg(x)  ((__Pyx_PyLong_SignBits(x) & 2) != 0)
  #define __Pyx_PyLong_IsNonNeg(x)  (!__Pyx_PyLong_IsNeg(x))
  #define __Pyx_PyLong_IsZero(x)  (__Pyx_PyLong_SignBits(x) & 1)
  #define __Pyx_PyLong_IsPos(x)  (__Pyx_PyLong_SignBits(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)\
        (((Py_ssize_t) __Pyx_PyLong_Sign(x)) * __Pyx_PyLong_DigitCount(x))
  #if defined(PyUnstable_Long_IsCompact) && defined(PyUnstable_Long_CompactValue)
    #define __Pyx_PyLong_IsCompact(x)     PyUnstable_Long_IsCompact((PyLongObject*) x)
    #define __Pyx_PyLong_CompactValue(x)  PyUnstable_Long_CompactValue((PyLongObject*) x)
  #else
    #define __Pyx_PyLong_IsCompact(x)     (((PyLongObject*)x)->long_value.lv_tag < (2 << _PyLong_NON_SIZE_BITS))
    #define __Pyx_PyLong_CompactValue(x)  (((Py_ssize_t) __Pyx_PyLong_Sign(x)) * (Py_ssize_t) __Pyx_PyLong_Digits(x)[0])
  #endif
  static CYTHON_INLINE Py_ssize_t __Pyx_PyLong_CompareSignAndSize(PyObject *a, PyObject *b) {
      uintptr_t tag_a = ((PyLongObject*)a)->long_value.lv_tag;
      uintptr_t tag_b = ((PyLongObject*)b)->long_value.lv_tag;
      if (tag_a == tag_b) return 0;
      int sign_a = (int) (tag_a & _PyLong_SIGN_MASK);
      int sign_b = (int) (tag_b & _PyLong_SIGN_MASK);
      if (sign_a > sign_b) return -1;
      if (sign_a < sign_b) return 1;
      Py_ssize_t size_a = (Py_ssize_t) (tag_a >> _PyLong_NON_SIZE_BITS);
      Py_ssize_t size_b = (Py_ssize_t) (tag_b >> _PyLong_NON_SIZE_BITS);
      return (1 - sign_a) * (size_a - size_b);
  }
  typedef Py_ssize_t  __Pyx_compact_pylong;
  typedef size_t  __Pyx_compact_upylong;
  #else
  #define __Pyx_PyLong_Sign(x)  ((int) ((Py_SIZE(x) == 0) ? 0 : (Py_SIZE(x) < 0) ? -1 : 1))
  #define __Pyx_PyLong_IsNeg(x)  (Py_SIZE(x) < 0)
  #define __Pyx_PyLong_IsNonNeg(x)  (Py_SIZE(x) >= 0)
  #define __Pyx_PyLong_IsZero(x)  (Py_SIZE(x) == 0)
  #define __Pyx_PyLong_IsPos(x)  (Py_SIZE(x) > 0)
  #define __Pyx_PyLong_CompactValueUnsigned(x)  ((Py_SIZE(x) == 0) ? 0 : __Pyx_PyLong_Digits(x)[0])
  #define __Pyx_PyLong_DigitCount(x)  __Pyx_sst_abs(Py_SIZE(x))
  #define __Pyx_PyLong_SignedDigitCount(x)  Py_SIZE(x)
  #define __Pyx_PyLong_IsCompact(x)  (Py_SIZE(x) == 0 || Py_SIZE(x) == 1 || Py_SIZE(x) == -1)
  #define __Pyx_PyLong_CompactValue(x)\
        ((Py_SIZE(x) == 0) ? (sdigit) 0 : ((Py_SIZE(x) < 0) ? -(sdigit)__Pyx_PyLong_Digits(x)[0] : (sdigit)__Pyx_PyLong_Digits(x)[0]))
  #define __Pyx_PyLong_CompareSignAndSize(a, b)  (Py_SIZE(a) - Py_SIZE(b))
  typedef sdigit  __Pyx_compact_pylong;
  typedef digit  __Pyx_compact_upylong;
  #endif
  #if PY_VERSION_HEX >= 0x030C00A5
  #define __Pyx_PyLong_Digits(x)  (((PyLongObject*)x)->long_value.ob_digit)
  #else
  #define __Pyx_PyLong_Digits(x)  (((PyLongObject*)x)->ob_digit)
  #endif
  #define __Pyx_PyLong_IsNonZero(x)  (!__Pyx_PyLong_IsZero(x))
#else
  #define __Pyx_PyLong_IsNonZero(x)  PyObject_IsTrue(x)
#endif
#if __PYX_DEFAULT_STRING_ENCODING_IS_UTF8
  #define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeUTF8(c_str, size, NULL)
#elif __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
  #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 const char * const __pyx_cfilenm = __FILE__;
 
/* Header.proto */
#if !defined(CYTHON_CCOMPLEX)
  #if defined(__cplusplus)
    #define CYTHON_CCOMPLEX 1
  #elif (defined(_Complex_I) && !defined(_MSC_VER)) || ((defined (__STDC_VERSION__) && __STDC_VERSION__ >= 201112L) && !defined(__STDC_NO_COMPLEX__) && !defined(_MSC_VER))
    #define CYTHON_CCOMPLEX 1
  #else
    #define CYTHON_CCOMPLEX 0
  #endif
#endif
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    #include <complex>
  #else
    #include <complex.h>
  #endif
#endif
#if CYTHON_CCOMPLEX && !defined(__cplusplus) && defined(__sun__) && defined(__GNUC__)
  #undef _Complex_I
  #define _Complex_I 1.0fj
#endif
 
/* #### Code section: filename_table ### */
 
static const char* const __pyx_f[] = {
  "proteus/cshockCapturing.pyx",
  "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd",
  "cpython/type.pxd",
};
/* #### Code section: utility_code_proto_before_types ### */
/* Atomics.proto (used by UnpackUnboundCMethod) */
#include <pythread.h>
#ifndef CYTHON_ATOMICS
    #define CYTHON_ATOMICS 1
#endif
#define __PYX_CYTHON_ATOMICS_ENABLED() CYTHON_ATOMICS
#define __PYX_GET_CYTHON_COMPILING_IN_CPYTHON_FREETHREADING() CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
#define __pyx_atomic_int_type int
#define __pyx_nonatomic_int_type int
#if CYTHON_ATOMICS && (defined(__STDC_VERSION__) &&\
                        (__STDC_VERSION__ >= 201112L) &&\
                        !defined(__STDC_NO_ATOMICS__))
    #include <stdatomic.h>
#elif CYTHON_ATOMICS && (defined(__cplusplus) && (\
                    (__cplusplus >= 201103L) ||\
                    (defined(_MSC_VER) && _MSC_VER >= 1700)))
    #include <atomic>
#endif
#if CYTHON_ATOMICS && (defined(__STDC_VERSION__) &&\
                        (__STDC_VERSION__ >= 201112L) &&\
                        !defined(__STDC_NO_ATOMICS__) &&\
                       ATOMIC_INT_LOCK_FREE == 2)
    #undef __pyx_atomic_int_type
    #define __pyx_atomic_int_type atomic_int
    #define __pyx_atomic_ptr_type atomic_uintptr_t
    #define __pyx_nonatomic_ptr_type uintptr_t
    #define __pyx_atomic_incr_relaxed(value) atomic_fetch_add_explicit(value, 1, memory_order_relaxed)
    #define __pyx_atomic_incr_acq_rel(value) atomic_fetch_add_explicit(value, 1, memory_order_acq_rel)
    #define __pyx_atomic_decr_acq_rel(value) atomic_fetch_sub_explicit(value, 1, memory_order_acq_rel)
    #define __pyx_atomic_sub(value, arg) atomic_fetch_sub(value, arg)
    #define __pyx_atomic_int_cmp_exchange(value, expected, desired) atomic_compare_exchange_strong(value, expected, desired)
    #define __pyx_atomic_load(value) atomic_load(value)
    #define __pyx_atomic_store(value, new_value) atomic_store(value, new_value)
    #define __pyx_atomic_pointer_load_relaxed(value) atomic_load_explicit(value, memory_order_relaxed)
    #define __pyx_atomic_pointer_load_acquire(value) atomic_load_explicit(value, memory_order_acquire)
    #define __pyx_atomic_pointer_exchange(value, new_value) atomic_exchange(value, (__pyx_nonatomic_ptr_type)new_value)
    #define __pyx_atomic_pointer_cmp_exchange(value, expected, desired) atomic_compare_exchange_strong(value, expected, desired)
    #if defined(__PYX_DEBUG_ATOMICS) && defined(_MSC_VER)
        #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 CythonFunctionShared) */
#include <structmember.h>
 
/* #### Code section: numeric_typedefs ### */
 
/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":761
 * # in Cython to enable them only on the right systems.
 * 
 * ctypedef npy_int8       int8_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t
*/
typedef npy_int8 __pyx_t_5numpy_int8_t;
 
/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":762
 * 
 * ctypedef npy_int8       int8_t
 * ctypedef npy_int16      int16_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int32      int32_t
 * ctypedef npy_int64      int64_t
*/
typedef npy_int16 __pyx_t_5numpy_int16_t;
 
/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":763
 * ctypedef npy_int8       int8_t
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int64      int64_t
 * 
*/
typedef npy_int32 __pyx_t_5numpy_int32_t;
 
/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":764
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t
 * ctypedef npy_int64      int64_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_uint8      uint8_t
*/
typedef npy_int64 __pyx_t_5numpy_int64_t;
 
/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":766
 * ctypedef npy_int64      int64_t
 * 
 * ctypedef npy_uint8      uint8_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t
*/
typedef npy_uint8 __pyx_t_5numpy_uint8_t;
 
/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":767
 * 
 * ctypedef npy_uint8      uint8_t
 * ctypedef npy_uint16     uint16_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint32     uint32_t
 * ctypedef npy_uint64     uint64_t
*/
typedef npy_uint16 __pyx_t_5numpy_uint16_t;
 
/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":768
 * ctypedef npy_uint8      uint8_t
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint64     uint64_t
 * 
*/
typedef npy_uint32 __pyx_t_5numpy_uint32_t;
 
/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":769
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t
 * ctypedef npy_uint64     uint64_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_float32    float32_t
*/
typedef npy_uint64 __pyx_t_5numpy_uint64_t;
 
/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":771
 * ctypedef npy_uint64     uint64_t
 * 
 * ctypedef npy_float32    float32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_float64    float64_t
 * #ctypedef npy_float80    float80_t
*/
typedef npy_float32 __pyx_t_5numpy_float32_t;
 
/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":772
 * 
 * ctypedef npy_float32    float32_t
 * ctypedef npy_float64    float64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_float80    float80_t
 * #ctypedef npy_float128   float128_t
*/
typedef npy_float64 __pyx_t_5numpy_float64_t;
 
/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":779
 * ctypedef double complex complex128_t
 * 
 * ctypedef npy_longlong   longlong_t             # <<<<<<<<<<<<<<
 * ctypedef npy_ulonglong  ulonglong_t
 * 
*/
typedef npy_longlong __pyx_t_5numpy_longlong_t;
 
/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":780
 * 
 * ctypedef npy_longlong   longlong_t
 * ctypedef npy_ulonglong  ulonglong_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_intp       intp_t
*/
typedef npy_ulonglong __pyx_t_5numpy_ulonglong_t;
 
/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":782
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 * ctypedef npy_intp       intp_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uintp      uintp_t
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*/
typedef npy_intp __pyx_t_5numpy_intp_t;
 
/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":783
 * 
 * ctypedef npy_intp       intp_t
 * ctypedef npy_uintp      uintp_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_double     float_t
*/
typedef npy_uintp __pyx_t_5numpy_uintp_t;
 
/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":785
 * ctypedef npy_uintp      uintp_t
 * 
 * ctypedef npy_double     float_t             # <<<<<<<<<<<<<<
 * ctypedef npy_double     double_t
 * ctypedef npy_longdouble longdouble_t
*/
typedef npy_double __pyx_t_5numpy_float_t;
 
/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":786
 * 
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longdouble longdouble_t
 * 
*/
typedef npy_double __pyx_t_5numpy_double_t;
 
/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":787
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t
 * ctypedef npy_longdouble longdouble_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef float complex       cfloat_t
*/
typedef npy_longdouble __pyx_t_5numpy_longdouble_t;
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/* Declarations.proto */
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/* Declarations.proto */
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        PyObject *tmp = (PyObject *) r;\
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/* GetTopmostException.proto (used by SaveResetException) */
#if CYTHON_USE_EXC_INFO_STACK && CYTHON_FAST_THREAD_STATE
static _PyErr_StackItem * __Pyx_PyErr_GetTopmostException(PyThreadState *tstate);
#endif
 
/* PyThreadStateGet.proto (used by SaveResetException) */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_PyThreadState_declare  PyThreadState *__pyx_tstate;
#define __Pyx_PyThreadState_assign  __pyx_tstate = __Pyx_PyThreadState_Current;
#if PY_VERSION_HEX >= 0x030C00A6
#define __Pyx_PyErr_Occurred()  (__pyx_tstate->current_exception != NULL)
#define __Pyx_PyErr_CurrentExceptionType()  (__pyx_tstate->current_exception ? (PyObject*) Py_TYPE(__pyx_tstate->current_exception) : (PyObject*) NULL)
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#define __Pyx_PyErr_Occurred()  (__pyx_tstate->curexc_type != NULL)
#define __Pyx_PyErr_CurrentExceptionType()  (__pyx_tstate->curexc_type)
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#define __Pyx_PyThreadState_declare
#define __Pyx_PyThreadState_assign
#define __Pyx_PyErr_Occurred()  (PyErr_Occurred() != NULL)
#define __Pyx_PyErr_CurrentExceptionType()  PyErr_Occurred()
#endif
 
/* SaveResetException.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_ExceptionSave(type, value, tb)  __Pyx__ExceptionSave(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#define __Pyx_ExceptionReset(type, value, tb)  __Pyx__ExceptionReset(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
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#define __Pyx_ExceptionSave(type, value, tb)   PyErr_GetExcInfo(type, value, tb)
#define __Pyx_ExceptionReset(type, value, tb)  PyErr_SetExcInfo(type, value, tb)
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/* FastTypeChecks.proto (used by PyException_Check) */
#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);
#define __Pyx_PyAnySet_Check(obj)  __Pyx_TypeCheck2(obj, &PySet_Type, &PyFrozenSet_Type)
#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_PyAnySet_Check(obj)  PyAnySet_Check(obj)
#endif
 
/* PyException_Check.proto */
#define __Pyx_PyExc_Exception_Check(obj)  __Pyx_TypeCheck(obj, PyExc_Exception)
 
/* PyErrFetchRestore.proto (used by GivenExceptionMatches) */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_PyErr_Clear() __Pyx_ErrRestore(NULL, NULL, NULL)
#define __Pyx_ErrRestoreWithState(type, value, tb)  __Pyx_ErrRestoreInState(PyThreadState_GET(), type, value, tb)
#define __Pyx_ErrFetchWithState(type, value, tb)    __Pyx_ErrFetchInState(PyThreadState_GET(), type, value, tb)
#define __Pyx_ErrRestore(type, value, tb)  __Pyx_ErrRestoreInState(__pyx_tstate, type, value, tb)
#define __Pyx_ErrFetch(type, value, tb)    __Pyx_ErrFetchInState(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030C00A6
#define __Pyx_PyErr_SetNone(exc) (Py_INCREF(exc), __Pyx_ErrRestore((exc), NULL, NULL))
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#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
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#define __Pyx_PyErr_Clear() PyErr_Clear()
#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
#define __Pyx_ErrRestoreWithState(type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetchWithState(type, value, tb)  PyErr_Fetch(type, value, tb)
#define __Pyx_ErrRestoreInState(tstate, type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetchInState(tstate, type, value, tb)  PyErr_Fetch(type, value, tb)
#define __Pyx_ErrRestore(type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetch(type, value, tb)  PyErr_Fetch(type, value, tb)
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/* GivenExceptionMatches.proto (used by PyErrExceptionMatches) */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject *type);
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *type1, PyObject *type2);
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#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);
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#define __Pyx_PyErr_ExceptionMatches2(err1, err2)  __Pyx_PyErr_GivenExceptionMatches2(__Pyx_PyErr_CurrentExceptionType(), err1, err2)
 
/* PyErrExceptionMatches.proto */
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#define __Pyx_PyErr_ExceptionMatches(err) __Pyx_PyErr_ExceptionMatchesInState(__pyx_tstate, err)
static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err);
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#define __Pyx_PyErr_ExceptionMatches(err)  PyErr_ExceptionMatches(err)
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/* GetException.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_GetException(type, value, tb)  __Pyx__GetException(__pyx_tstate, type, value, tb)
static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
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static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb);
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/* PyImportError_Check.proto */
#define __Pyx_PyExc_ImportError_Check(obj)  __Pyx_TypeCheck(obj, PyExc_ImportError)
 
/* PyObjectCall.proto (used by PyObjectFastCall) */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw);
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#define __Pyx_PyObject_Call(func, arg, kw) PyObject_Call(func, arg, kw)
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/* PyObjectCallMethO.proto (used by PyObjectFastCall) */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg);
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/* PyObjectFastCall.proto */
#define __Pyx_PyObject_FastCall(func, args, nargs)  __Pyx_PyObject_FastCallDict(func, args, (size_t)(nargs), NULL)
static CYTHON_INLINE PyObject* __Pyx_PyObject_FastCallDict(PyObject *func, PyObject * const*args, size_t nargsf, PyObject *kwargs);
 
/* RaiseException.export */
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause);
 
/* CopyObjectArray.proto (used by TupleOrListFromArrayImpl) */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE void __Pyx_copy_object_array(PyObject *const *CYTHON_RESTRICT src, PyObject** CYTHON_RESTRICT dest, Py_ssize_t length);
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/* TupleOrListFromArrayImpl.proto (used by TupleFromArray) */
#if PY_VERSION_HEX >= 0x030F0000 && !CYTHON_COMPILING_IN_LIMITED_API
#define __Pyx_PyTuple_FromArray(src, n) PyTuple_FromArray(src, ((n)<0) ? 0 : (n))
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CYTHON_UNUSED static PyObject *
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/* TupleFromArray.proto (used by fastcall) */
 
 
/* IncludeStringH.proto (used by PyObjectCompare) */
#include <string.h>
 
/* PyObjectCompare.proto (used by UnicodeEquals) */
static CYTHON_INLINE int __Pyx_PyObject_CompareBoolEq_str_str(PyObject *op1, PyObject *op2, int pyop);
 
/* UnicodeEquals.proto (used by fastcall) */
#define __Pyx_PyUnicode_Equals(s1, s2)  __Pyx_PyObject_CompareBoolEq_str_str(s1, s2, Py_EQ)
 
/* fastcall.proto */
#if CYTHON_AVOID_BORROWED_REFS
    #define __Pyx_ArgRef_VARARGS(args, i) __Pyx_PySequence_ITEM(args, i)
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    #define __Pyx_ArgRef_VARARGS(args, i) __Pyx_NewRef(__Pyx_PyTuple_GET_ITEM(args, i))
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#define __Pyx_NumKwargs_VARARGS(kwds) PyDict_Size(kwds)
#define __Pyx_KwValues_VARARGS(args, nargs) NULL
#define __Pyx_GetKwValue_VARARGS(kw, kwvalues, s) __Pyx_PyDict_GetItemStrWithError(kw, s)
#define __Pyx_KwargsAsDict_VARARGS(kw, kwvalues) PyDict_Copy(kw)
#if CYTHON_VECTORCALL
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    #define __Pyx_KwValues_FASTCALL(args, nargs) ((args) + (nargs))
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    #define __Pyx_GetKwValue_FASTCALL __Pyx_GetKwValue_VARARGS
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#if CYTHON_VECTORCALL_TPNEW
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/* py_dict_items.proto (used by OwnedDictNext) */
#define __Pyx_PyDict_items_TypePtr  (&PyDictKeys_Type)
#define __Pyx_PyDict_items_Check(obj)  PyObject_TypeCheck((obj), __Pyx_PyDictItems_TypePtr)
#define __Pyx_PyDict_items_CheckExact(obj)  Py_IS_TYPE((obj), __Pyx_PyDictItems_TypePtr)
static CYTHON_INLINE PyObject* __Pyx_PyDict_Items(PyObject* d);
 
/* CallCFunction.proto (used by CallUnboundCMethod0) */
#define __Pyx_CallCFunction(cfunc, self, args)\
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#define __Pyx_CallCFunctionWithKeywords(cfunc, self, args, kwargs)\
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#define __Pyx_CallCFunctionFast(cfunc, self, args, nargs)\
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#define __Pyx_CallCFunctionFastWithKeywords(cfunc, self, args, nargs, kwnames)\
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/* PyObjectCallOneArg.proto (used by CallUnboundCMethod0) */
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg);
 
/* UnpackUnboundCMethod_decl.proto (used by UnpackUnboundCMethod) */
typedef struct {
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    PyObject *method;
    int flag;
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING && CYTHON_ATOMICS
    __pyx_atomic_int_type initialized;
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/* IgnoreException.proto (used by UnpackUnboundCMethod_impl) */
static CYTHON_INLINE int __Pyx_IgnoreGivenException(PyObject *given_exception, PyObject *ignorable_exception);
#define __Pyx_IgnoreException(ignorable_exception) __Pyx_IgnoreGivenException(NULL, ignorable_exception)
 
/* PyObjectGetAttrStr.proto (used by UnpackUnboundCMethod_impl) */
#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)
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/* UnpackUnboundCMethod_impl.export */
static int __Pyx_TryUnpackUnboundCMethod(__Pyx_CachedCFunction* target);
 
/* UnpackUnboundCMethod.proto (used by CallUnboundCMethod0) */
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
static CYTHON_INLINE int __Pyx_CachedCFunction_GetAndSetInitializing(__Pyx_CachedCFunction *cfunc) {
#if !CYTHON_ATOMICS
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    __pyx_nonatomic_int_type expected = 0;
    if (__pyx_atomic_int_cmp_exchange(&cfunc->initialized, &expected, 1)) {
        return 0;
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    return expected;
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static CYTHON_INLINE void __Pyx_CachedCFunction_SetFinishedInitializing(__Pyx_CachedCFunction *cfunc) {
#if CYTHON_ATOMICS
    __pyx_atomic_store(&cfunc->initialized, 2);
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}
#else
#define __Pyx_CachedCFunction_GetAndSetInitializing(cfunc) 2
#define __Pyx_CachedCFunction_SetFinishedInitializing(cfunc)
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/* 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) */
#define __Pyx_PyDict_values_TypePtr  (&PyDictKeys_Type)
#define __Pyx_PyDict_values_Check(obj)  PyObject_TypeCheck((obj), __Pyx_PyDictValues_TypePtr)
#define __Pyx_PyDict_values_CheckExact(obj)  Py_IS_TYPE((obj), __Pyx_PyDictValues_TypePtr)
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.export */
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);
 
/* ArgTypeTestError.export */
static void __Pyx_ArgTypeError(PyObject *obj, PyTypeObject *type, const char *name, int exact);
 
/* ArgTypeTest.proto */
static CYTHON_INLINE int __Pyx_ArgTypeTest(PyObject *obj, PyTypeObject *type, int none_allowed, const char *name, int exact);
 
/* TypeImport.proto */
#ifndef __PYX_HAVE_RT_ImportType_proto_3_3_0
#define __PYX_HAVE_RT_ImportType_proto_3_3_0
#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_3_0(s) alignof(s)
#else
#define __PYX_GET_STRUCT_ALIGNMENT_3_3_0(s) sizeof(void*)
#endif
enum __Pyx_ImportType_CheckSize_3_3_0 {
   __Pyx_ImportType_CheckSize_Error_3_3_0 = 0,
   __Pyx_ImportType_CheckSize_Warn_3_3_0 = 1,
   __Pyx_ImportType_CheckSize_Ignore_3_3_0 = 2
};
static PyTypeObject *__Pyx_ImportType_3_3_0(PyObject* module, const char *module_name, const char *class_name, size_t size, size_t alignment, enum __Pyx_ImportType_CheckSize_3_3_0 check_size);
#endif
 
/* PyObjectGetAttrStrNoError.proto (used by HasAttr) */
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStrNoError(PyObject* obj, PyObject* attr_name);
 
/* HasAttr.proto (used by ImportImpl) */
#if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
#define __Pyx_HasAttr(o, n)  PyObject_HasAttrWithError(o, n)
#else
static CYTHON_INLINE int __Pyx_HasAttr(PyObject *, PyObject *);
#endif
 
/* TupleOrListFromArrayImpl.proto (used by ListFromArray) */
CYTHON_UNUSED static PyObject *
__Pyx_PyList_FromArray(PyObject *const *src, Py_ssize_t n);
 
/* ListFromArray.proto (used by ImportImpl) */
 
 
/* ImportImpl.export */
static PyObject *__Pyx__Import(PyObject *name, PyObject *const *imported_names, Py_ssize_t len_imported_names, PyObject *qualname, PyObject *moddict, int level);
 
/* Import.proto */
static CYTHON_INLINE PyObject *__Pyx_Import(PyObject *name, PyObject *const *imported_names, Py_ssize_t len_imported_names, PyObject *qualname, int level);
 
/* dict_setdefault.proto (used by FetchCommonType) */
static CYTHON_INLINE PyObject *__Pyx_PyDict_SetDefault(PyObject *d, PyObject *key, PyObject *default_value);
 
/* AddModuleRef.proto (used by FetchSharedCythonModule) */
#if ((CYTHON_COMPILING_IN_CPYTHON_FREETHREADING && PY_VERSION_HEX < 0x030F00a3) ||\
     __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);
 
/* VerifyCachedType.proto (used by FetchCommonType) */
static int __Pyx_VerifyCachedType(PyObject *cached_type,
                               const char *name,
                               Py_ssize_t expected_basicsize);
 
/* 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
 
/* CythonFunctionPerModule.proto (used by CythonFunctionShared) */
#define __Pyx_CyFunction_USED
#if CYTHON_OPAQUE_SHARED_TYPES
#define __Pyx_as_CyFunctionObject(o) ((__pyx_CyFunctionObject *)PyObject_GetTypeData((o), __pyx_mstate_global->__pyx_CyFunctionType))
#else
#define __Pyx_as_CyFunctionObject(o) ((__pyx_CyFunctionObject *)o)
#endif
#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_as_CyFunctionObject(f))->func_closure)
#if CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx__CyFunction_GetClassObj(f)\
      ((f)->func_classobj)
#else
  #define __Pyx__CyFunction_GetClassObj(f)\
      ((PyObject*) ((PyCMethodObject *) (f))->mm_class)
#endif
#define __Pyx_CyFunction_GetClassObj(f)\
    __Pyx__CyFunction_GetClassObj(__Pyx_as_CyFunctionObject(f))
#define __Pyx_CyFunction_SetClassObj(f, classobj)\
    __Pyx__CyFunction_SetClassObj(__Pyx_as_CyFunctionObject(f), (classobj))
#define __Pyx_CyFunction_Defaults(type, f)\
    ((type *)((__Pyx_as_CyFunctionObject(f))->defaults))
#define __Pyx_CyFunction_SetDefaultsGetter(f, g)\
    (__Pyx_as_CyFunctionObject(f))->defaults_getter = (g)
typedef struct {
#if CYTHON_COMPILING_IN_LIMITED_API
#if !CYTHON_OPAQUE_OBJECTS
    PyObject_HEAD
#endif
    PyMethodDef *func_methoddef;
    PyObject *func_module;
#else
    PyCMethodObject func;
#endif
#if (CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_PYPY) && CYTHON_VECTORCALL
    __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 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;
#if __PYX_LIMITED_VERSION_HEX < 0x030B0000
    PyObject *func_is_coroutine;
#endif
} __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)  Py_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 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_VECTORCALL
#if CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_PYPY
#define __Pyx_CyFunction_func_vectorcall(f) ((f)->func_vectorcall)
#else
#define __Pyx_CyFunction_func_vectorcall(f) (((PyCFunctionObject*)f)->vectorcall)
#endif
#endif
 
/* CallTypeTraverse.proto (used by CythonFunctionShared) */
#if !CYTHON_USE_TYPE_SPECS
#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
 
/* PyMethodNew.proto (used by CythonFunctionShared) */
static PyObject *__Pyx_PyMethod_New(PyObject *func, PyObject *self, PyObject *typ);
 
/* PyVectorcallFastCallDict.proto (used by CythonFunctionShared) */
#if 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) */
static PyObject *__Pyx_CyFunction_Init(PyObject *op_in, PyMethodDef *ml,
                                      int flags, PyObject* qualname,
                                      PyObject *closure,
                                      PyObject *module, PyObject *globals,
                                      PyObject* code);
#if CYTHON_VECTORCALL
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);
#endif
 
/* CythonFunction.export */
static PyObject *__Pyx_CyFunction_New(PyMethodDef *ml,
                                      int flags, PyObject* qualname,
                                      PyObject *closure,
                                      PyObject *module, PyObject *globals,
                                      PyObject* code);
static PyTypeObject *__Pyx_Get_CyFunction_Type(void);
 
/* PyDictVersioning.proto (used by CLineInTraceback) */
#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
 
/* 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);
 
/* GCCDiagnostics.proto */
#if !defined(__INTEL_COMPILER) && defined(__GNUC__) && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 6))
#define __Pyx_HAS_GCC_DIAGNOSTIC
#endif
 
/* RealImag.proto */
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    #define __Pyx_CREAL(z) ((z).real())
    #define __Pyx_CIMAG(z) ((z).imag())
  #else
    #define __Pyx_CREAL(z) (__real__(z))
    #define __Pyx_CIMAG(z) (__imag__(z))
  #endif
#else
    #define __Pyx_CREAL(z) ((z).real)
    #define __Pyx_CIMAG(z) ((z).imag)
#endif
#if defined(__cplusplus) && CYTHON_CCOMPLEX\
        && (defined(_WIN32) || defined(__clang__) || (defined(__GNUC__) && (__GNUC__ >= 5 || __GNUC__ == 4 && __GNUC_MINOR__ >= 4 )) || __cplusplus >= 201103)
    #define __Pyx_SET_CREAL(z,x) ((z).real(x))
    #define __Pyx_SET_CIMAG(z,y) ((z).imag(y))
#else
    #define __Pyx_SET_CREAL(z,x) __Pyx_CREAL(z) = (x)
    #define __Pyx_SET_CIMAG(z,y) __Pyx_CIMAG(z) = (y)
#endif
 
/* Arithmetic.proto */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
    #define __Pyx_c_eq_float(a, b)   ((a)==(b))
    #define __Pyx_c_sum_float(a, b)  ((a)+(b))
    #define __Pyx_c_diff_float(a, b) ((a)-(b))
    #define __Pyx_c_prod_float(a, b) ((a)*(b))
    #define __Pyx_c_quot_float(a, b) ((a)/(b))
    #define __Pyx_c_neg_float(a)     (-(a))
  #ifdef __cplusplus
    #define __Pyx_c_is_zero_float(z) ((z)==(float)0)
    #define __Pyx_c_conj_float(z)    (::std::conj(z))
    #if 1
        #define __Pyx_c_abs_float(z)     (::std::abs(z))
        #define __Pyx_c_pow_float(a, b)  (::std::pow(a, b))
    #endif
  #else
    #define __Pyx_c_is_zero_float(z) ((z)==0)
    #define __Pyx_c_conj_float(z)    (conjf(z))
    #if 1
        #define __Pyx_c_abs_float(z)     (cabsf(z))
        #define __Pyx_c_pow_float(a, b)  (cpowf(a, b))
    #endif
 #endif
#else
    static CYTHON_INLINE int __Pyx_c_eq_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sum_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_diff_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prod_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_neg_float(__pyx_t_float_complex);
    static CYTHON_INLINE int __Pyx_c_is_zero_float(__pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conj_float(__pyx_t_float_complex);
    #if 1
        static CYTHON_INLINE float __Pyx_c_abs_float(__pyx_t_float_complex);
        static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_pow_float(__pyx_t_float_complex, __pyx_t_float_complex);
    #endif
#endif
 
/* Arithmetic.proto */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
    #define __Pyx_c_eq_double(a, b)   ((a)==(b))
    #define __Pyx_c_sum_double(a, b)  ((a)+(b))
    #define __Pyx_c_diff_double(a, b) ((a)-(b))
    #define __Pyx_c_prod_double(a, b) ((a)*(b))
    #define __Pyx_c_quot_double(a, b) ((a)/(b))
    #define __Pyx_c_neg_double(a)     (-(a))
  #ifdef __cplusplus
    #define __Pyx_c_is_zero_double(z) ((z)==(double)0)
    #define __Pyx_c_conj_double(z)    (::std::conj(z))
    #if 1
        #define __Pyx_c_abs_double(z)     (::std::abs(z))
        #define __Pyx_c_pow_double(a, b)  (::std::pow(a, b))
    #endif
  #else
    #define __Pyx_c_is_zero_double(z) ((z)==0)
    #define __Pyx_c_conj_double(z)    (conj(z))
    #if 1
        #define __Pyx_c_abs_double(z)     (cabs(z))
        #define __Pyx_c_pow_double(a, b)  (cpow(a, b))
    #endif
 #endif
#else
    static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex);
    static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex);
    #if 1
        static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex);
        static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex, __pyx_t_double_complex);
    #endif
#endif
 
/* Arithmetic.proto */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
    #define __Pyx_c_eq_long__double(a, b)   ((a)==(b))
    #define __Pyx_c_sum_long__double(a, b)  ((a)+(b))
    #define __Pyx_c_diff_long__double(a, b) ((a)-(b))
    #define __Pyx_c_prod_long__double(a, b) ((a)*(b))
    #define __Pyx_c_quot_long__double(a, b) ((a)/(b))
    #define __Pyx_c_neg_long__double(a)     (-(a))
  #ifdef __cplusplus
    #define __Pyx_c_is_zero_long__double(z) ((z)==(long double)0)
    #define __Pyx_c_conj_long__double(z)    (::std::conj(z))
    #if 1
        #define __Pyx_c_abs_long__double(z)     (::std::abs(z))
        #define __Pyx_c_pow_long__double(a, b)  (::std::pow(a, b))
    #endif
  #else
    #define __Pyx_c_is_zero_long__double(z) ((z)==0)
    #define __Pyx_c_conj_long__double(z)    (conjl(z))
    #if 1
        #define __Pyx_c_abs_long__double(z)     (cabsl(z))
        #define __Pyx_c_pow_long__double(a, b)  (cpowl(a, b))
    #endif
 #endif
#else
    static CYTHON_INLINE int __Pyx_c_eq_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex);
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_sum_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex);
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_diff_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex);
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_prod_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex);
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_quot_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex);
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_neg_long__double(__pyx_t_long_double_complex);
    static CYTHON_INLINE int __Pyx_c_is_zero_long__double(__pyx_t_long_double_complex);
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_conj_long__double(__pyx_t_long_double_complex);
    #if 1
        static CYTHON_INLINE long double __Pyx_c_abs_long__double(__pyx_t_long_double_complex);
        static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_pow_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex);
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/* CIntFromPy.proto */
static CYTHON_INLINE char __Pyx_PyLong_As_char(PyObject *);
 
/* FormatTypeName.proto */
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typedef PyObject *__Pyx_TypeName;
#define __Pyx_FMT_TYPENAME "%N"
#define __Pyx_PyType_GetFullyQualifiedName(tp) Py_NewRef((PyObject*)tp)
#define __Pyx_DECREF_TypeName(obj) Py_DECREF(obj)
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typedef PyObject *__Pyx_TypeName;
#define __Pyx_FMT_TYPENAME "%U"
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/* PyObjectVectorcallKwds.proto (used by PyObjectVectorcallMethodKwds) */
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#define __Pyx_Object_VectorcallKwds PyObject_Vectorcall
CYTHON_UNUSED static int __Pyx_CheckVectorcallKwarg(PyObject *kwnames, Py_ssize_t i);
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#define __Pyx_Object_VectorcallKwds __Pyx_PyObject_FastCallDict
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#define __Pyx_Object_VectorcallMethodKwds PyObject_VectorcallMethod
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/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyLong_From_long(long value);
 
/* CIntFromPy.proto */
static CYTHON_INLINE long __Pyx_PyLong_As_long(PyObject *);
 
/* CIntFromPy.proto */
static CYTHON_INLINE int __Pyx_PyLong_As_int(PyObject *);
 
/* GetRuntimeVersion.proto */
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static unsigned long __Pyx_cached_runtime_version = 0;
static void __Pyx_init_runtime_version(void);
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#define __Pyx_init_runtime_version()
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static unsigned long __Pyx_get_runtime_version(void);
 
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static int __Pyx_State_RemoveModule(void*);
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#define __PYX_ABI_MODULE_NAME "_cython_" CYTHON_ABI
#define __PYX_TYPE_MODULE_PREFIX __PYX_ABI_MODULE_NAME "."
 
static CYTHON_INLINE PyTypeObject *__pyx_f_5numpy_5dtype_7typeobj___get__(PyArray_Descr *__pyx_v_self); /* proto*/
static CYTHON_INLINE char __pyx_f_5numpy_5dtype_4kind___get__(PyArray_Descr *__pyx_v_self); /* proto*/
static CYTHON_INLINE char __pyx_f_5numpy_5dtype_4type___get__(PyArray_Descr *__pyx_v_self); /* proto*/
static CYTHON_INLINE char __pyx_f_5numpy_5dtype_9byteorder___get__(PyArray_Descr *__pyx_v_self); /* proto*/
static CYTHON_INLINE int __pyx_f_5numpy_5dtype_8type_num___get__(PyArray_Descr *__pyx_v_self); /* proto*/
static CYTHON_INLINE npy_intp __pyx_f_5numpy_5dtype_8itemsize___get__(PyArray_Descr *__pyx_v_self); /* proto*/
static CYTHON_INLINE npy_intp __pyx_f_5numpy_5dtype_9alignment___get__(PyArray_Descr *__pyx_v_self); /* proto*/
static CYTHON_INLINE PyObject *__pyx_f_5numpy_5dtype_6fields___get__(PyArray_Descr *__pyx_v_self); /* proto*/
static CYTHON_INLINE PyObject *__pyx_f_5numpy_5dtype_5names___get__(PyArray_Descr *__pyx_v_self); /* proto*/
static CYTHON_INLINE PyArray_ArrayDescr *__pyx_f_5numpy_5dtype_8subarray___get__(PyArray_Descr *__pyx_v_self); /* proto*/
static CYTHON_INLINE npy_uint64 __pyx_f_5numpy_5dtype_5flags___get__(PyArray_Descr *__pyx_v_self); /* proto*/
static CYTHON_INLINE int __pyx_f_5numpy_9broadcast_7numiter___get__(PyArrayMultiIterObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE npy_intp __pyx_f_5numpy_9broadcast_4size___get__(PyArrayMultiIterObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE npy_intp __pyx_f_5numpy_9broadcast_5index___get__(PyArrayMultiIterObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE int __pyx_f_5numpy_9broadcast_2nd___get__(PyArrayMultiIterObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE npy_intp *__pyx_f_5numpy_9broadcast_10dimensions___get__(PyArrayMultiIterObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE void **__pyx_f_5numpy_9broadcast_5iters___get__(PyArrayMultiIterObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE PyObject *__pyx_f_5numpy_7ndarray_4base___get__(PyArrayObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE PyArray_Descr *__pyx_f_5numpy_7ndarray_5descr___get__(PyArrayObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE int __pyx_f_5numpy_7ndarray_4ndim___get__(PyArrayObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE npy_intp *__pyx_f_5numpy_7ndarray_5shape___get__(PyArrayObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE npy_intp *__pyx_f_5numpy_7ndarray_7strides___get__(PyArrayObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE npy_intp __pyx_f_5numpy_7ndarray_4size___get__(PyArrayObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE char *__pyx_f_5numpy_7ndarray_4data___get__(PyArrayObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE int __pyx_f_5numpy_5ufunc_3nin___get__(PyUFuncObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE int __pyx_f_5numpy_5ufunc_4nout___get__(PyUFuncObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE int __pyx_f_5numpy_5ufunc_5nargs___get__(PyUFuncObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE PyUFuncGenericFunction *__pyx_f_5numpy_5ufunc_9functions___get__(PyUFuncObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE void **__pyx_f_5numpy_5ufunc_4data___get__(PyUFuncObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE int __pyx_f_5numpy_5ufunc_6ntypes___get__(PyUFuncObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE char const *__pyx_f_5numpy_5ufunc_4name___get__(PyUFuncObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE char const *__pyx_f_5numpy_5ufunc_3doc___get__(PyUFuncObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE void *__pyx_f_5numpy_5ufunc_3ptr___get__(PyUFuncObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE PyObject *__pyx_f_5numpy_5ufunc_3obj___get__(PyUFuncObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE PyObject *__pyx_f_5numpy_5ufunc_9userloops___get__(PyUFuncObject *__pyx_v_self); /* proto*/
 
/* Module declarations from "libc.string" */
 
/* Module declarations from "libc.stdio" */
 
/* Module declarations from "__builtin__" */
 
/* Module declarations from "cpython.type" */
 
/* Module declarations from "cpython" */
 
/* Module declarations from "cpython.object" */
 
/* Module declarations from "cpython.ref" */
 
/* Module declarations from "numpy" */
 
/* Module declarations from "numpy" */
 
/* Module declarations from "cshockCapturing" */
/* #### Code section: typeinfo ### */
/* #### Code section: before_global_var ### */
#define __Pyx_MODULE_NAME "cshockCapturing"
extern int __pyx_module_is_main_cshockCapturing;
int __pyx_module_is_main_cshockCapturing = 0;
 
/* Implementation of "cshockCapturing" */
/* #### Code section: global_var ### */
/* #### Code section: string_decls ### */
/* #### Code section: decls ### */
static PyObject *__pyx_pf_15cshockCapturing_calculateNumericalDiffusionResGrad(CYTHON_UNUSED PyObject *__pyx_self, double __pyx_v_shockCapturingDiffusion, PyArrayObject *__pyx_v_elementDiameter, PyArrayObject *__pyx_v_strong_residual, PyArrayObject *__pyx_v_grad_u, PyArrayObject *__pyx_v_numDiff); /* proto */
static PyObject *__pyx_pf_15cshockCapturing_2calculateNumericalDiffusionResGradQuad(CYTHON_UNUSED PyObject *__pyx_self, double __pyx_v_shockCapturingDiffusion, PyArrayObject *__pyx_v_elementDiameter, PyArrayObject *__pyx_v_strong_residual, PyArrayObject *__pyx_v_grad_u, PyArrayObject *__pyx_v_numDiff); /* proto */
static PyObject *__pyx_pf_15cshockCapturing_4calculateNumericalDiffusionEikonal(CYTHON_UNUSED PyObject *__pyx_self, double __pyx_v_shockCapturingDiffusion, PyArrayObject *__pyx_v_elementDiameter, PyArrayObject *__pyx_v_strong_residual, PyArrayObject *__pyx_v_numDiff); /* proto */
static PyObject *__pyx_pf_15cshockCapturing_6calculateNumericalDiffusionHJ(CYTHON_UNUSED PyObject *__pyx_self, char __pyx_v_shockCapturing, double __pyx_v_shockCapturingDiffusion, PyArrayObject *__pyx_v_elementDiameter, PyArrayObject *__pyx_v_strong_residual, PyArrayObject *__pyx_v_mt, PyArrayObject *__pyx_v_H, PyArrayObject *__pyx_v_numDiff); /* proto */
static PyObject *__pyx_pf_15cshockCapturing_8calculateNumericalDiffusionHJV2(CYTHON_UNUSED PyObject *__pyx_self, char __pyx_v_shockCapturing, double __pyx_v_shockCapturingDiffusion, PyArrayObject *__pyx_v_elementDiameter, PyArrayObject *__pyx_v_strong_residual, PyArrayObject *__pyx_v_mt, PyArrayObject *__pyx_v_H, PyArrayObject *__pyx_v_numDiff); /* proto */
static PyObject *__pyx_pf_15cshockCapturing_10calculateNumericalDiffusion_A_1(CYTHON_UNUSED PyObject *__pyx_self, double __pyx_v_shockCapturingFactor, PyArrayObject *__pyx_v_elementDiameter, PyArrayObject *__pyx_v_strong_residual, PyArrayObject *__pyx_v_mt, PyArrayObject *__pyx_v_df, PyArrayObject *__pyx_v_numDiff); /* proto */
static PyObject *__pyx_pf_15cshockCapturing_12calculateNumericalDiffusionResGradJuanes(CYTHON_UNUSED PyObject *__pyx_self, double __pyx_v_shockCapturingDiffusion, double __pyx_v_uSC, PyArrayObject *__pyx_v_elementDiameter, PyArrayObject *__pyx_v_strong_residual, PyArrayObject *__pyx_v_grad_u, PyArrayObject *__pyx_v_numDiff); /* proto */
static PyObject *__pyx_pf_15cshockCapturing_14calculateNumericalDiffusionJaffre(CYTHON_UNUSED PyObject *__pyx_self, double __pyx_v_shockCapturingDiffusion, double __pyx_v_beta, PyArrayObject *__pyx_v_elementDiameter, PyArrayObject *__pyx_v_strong_residual, PyArrayObject *__pyx_v_grad_u, PyArrayObject *__pyx_v_numDiff); /* proto */
/* #### Code section: late_includes ### */
/* #### Code section: module_state ### */
/* SmallCodeConfig */
#ifndef CYTHON_SMALL_CODE
#if defined(__clang__)
    #define CYTHON_SMALL_CODE
#elif defined(__GNUC__) && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 3))
    #define CYTHON_SMALL_CODE __attribute__((cold))
#else
    #define CYTHON_SMALL_CODE
#endif
#endif
 
#ifdef __cplusplus
namespace {
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  typedef struct {
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    PyObject *__pyx_b;
    PyObject *__pyx_cython_runtime;
    PyObject *__pyx_empty_tuple;
    PyObject *__pyx_empty_bytes;
    PyObject *__pyx_empty_unicode;
    PyTypeObject *__pyx_ptype_7cpython_4type_type;
    PyTypeObject *__pyx_ptype_5numpy_dtype;
    PyTypeObject *__pyx_ptype_5numpy_flatiter;
    PyTypeObject *__pyx_ptype_5numpy_broadcast;
    PyTypeObject *__pyx_ptype_5numpy_ndarray;
    PyTypeObject *__pyx_ptype_5numpy_generic;
    PyTypeObject *__pyx_ptype_5numpy_number;
    PyTypeObject *__pyx_ptype_5numpy_integer;
    PyTypeObject *__pyx_ptype_5numpy_signedinteger;
    PyTypeObject *__pyx_ptype_5numpy_unsignedinteger;
    PyTypeObject *__pyx_ptype_5numpy_inexact;
    PyTypeObject *__pyx_ptype_5numpy_floating;
    PyTypeObject *__pyx_ptype_5numpy_complexfloating;
    PyTypeObject *__pyx_ptype_5numpy_flexible;
    PyTypeObject *__pyx_ptype_5numpy_character;
    PyTypeObject *__pyx_ptype_5numpy_ufunc;
    __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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    PyObject *__pyx_string_tab[52];
/* #### Code section: module_state_contents ### */
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PyTypeObject *__pyx_CommonTypesMetaclassType;
 
/* CachedMethodType.module_state_decls */
#if CYTHON_COMPILING_IN_LIMITED_API
PyObject *__Pyx_CachedMethodType;
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/* CythonFunctionPerModule.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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#ifdef __cplusplus
} /* anonymous namespace */
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#if CYTHON_USE_MODULE_STATE
#ifdef __cplusplus
namespace {
extern struct PyModuleDef __pyx_moduledef;
} /* anonymous namespace */
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static struct PyModuleDef __pyx_moduledef;
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#define __pyx_mstate_global (__Pyx_PyModule_GetState(__Pyx_State_FindModule(&__pyx_moduledef)))
 
#define __pyx_m (__Pyx_State_FindModule(&__pyx_moduledef))
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static __pyx_mstatetype __pyx_mstate_global_static =
#ifdef __cplusplus
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    {0};
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static __pyx_mstatetype * const __pyx_mstate_global = &__pyx_mstate_global_static;
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/* #### Code section: constant_name_defines ### */
#define __pyx_kp_u_ __pyx_string_tab[0]
#define __pyx_kp_u_Note_that_Cython_is_deliberately __pyx_string_tab[1]
#define __pyx_kp_u_add_note __pyx_string_tab[2]
#define __pyx_kp_u_numpy__core_multiarray_failed_to __pyx_string_tab[3]
#define __pyx_kp_u_numpy__core_umath_failed_to_impo __pyx_string_tab[4]
#define __pyx_kp_u_proteus_cshockCapturing_pyx __pyx_string_tab[5]
#define __pyx_n_u_H __pyx_string_tab[6]
#define __pyx_n_u_Pyx_PyDict_NextRef __pyx_string_tab[7]
#define __pyx_n_u_annotate __pyx_string_tab[8]
#define __pyx_n_u_func __pyx_string_tab[9]
#define __pyx_n_u_main __pyx_string_tab[10]
#define __pyx_n_u_module __pyx_string_tab[11]
#define __pyx_n_u_name __pyx_string_tab[12]
#define __pyx_n_u_qualname __pyx_string_tab[13]
#define __pyx_n_u_test __pyx_string_tab[14]
#define __pyx_n_u_is_coroutine __pyx_string_tab[15]
#define __pyx_n_u_asyncio_coroutines __pyx_string_tab[16]
#define __pyx_n_u_beta __pyx_string_tab[17]
#define __pyx_n_u_calculateNumericalDiffusionEikon __pyx_string_tab[18]
#define __pyx_n_u_calculateNumericalDiffusionHJ __pyx_string_tab[19]
#define __pyx_n_u_calculateNumericalDiffusionHJV2 __pyx_string_tab[20]
#define __pyx_n_u_calculateNumericalDiffusionJaffr __pyx_string_tab[21]
#define __pyx_n_u_calculateNumericalDiffusionResGr __pyx_string_tab[22]
#define __pyx_n_u_calculateNumericalDiffusionResGr_3 __pyx_string_tab[23]
#define __pyx_n_u_calculateNumericalDiffusionResGr_2 __pyx_string_tab[24]
#define __pyx_n_u_calculateNumericalDiffusion_A_1 __pyx_string_tab[25]
#define __pyx_n_u_cline_in_traceback __pyx_string_tab[26]
#define __pyx_n_u_cshockCapturing __pyx_string_tab[27]
#define __pyx_n_u_df __pyx_string_tab[28]
#define __pyx_n_u_elementDiameter __pyx_string_tab[29]
#define __pyx_n_u_grad_u __pyx_string_tab[30]
#define __pyx_n_u_items __pyx_string_tab[31]
#define __pyx_n_u_mt __pyx_string_tab[32]
#define __pyx_n_u_np __pyx_string_tab[33]
#define __pyx_n_u_numDiff __pyx_string_tab[34]
#define __pyx_n_u_numpy __pyx_string_tab[35]
#define __pyx_n_u_pop __pyx_string_tab[36]
#define __pyx_n_u_setdefault __pyx_string_tab[37]
#define __pyx_n_u_shockCapturing __pyx_string_tab[38]
#define __pyx_n_u_shockCapturingDiffusion __pyx_string_tab[39]
#define __pyx_n_u_shockCapturingFactor __pyx_string_tab[40]
#define __pyx_n_u_strong_residual __pyx_string_tab[41]
#define __pyx_n_u_uSC __pyx_string_tab[42]
#define __pyx_n_u_values __pyx_string_tab[43]
#define __pyx_kp_b_iso88591_q_vQa_vQa_2_2_2 __pyx_string_tab[44]
#define __pyx_kp_b_iso88591_q_fAQ_fAQ_fAQ_2_2_2_2 __pyx_string_tab[45]
#define __pyx_kp_b_iso88591_1F_fAQ_fAQ_2_2_2_2 __pyx_string_tab[46]
#define __pyx_kp_b_iso88591_ARvQa_fAQ_fAQ_oQ_oQ_b_b_gQ __pyx_string_tab[47]
#define __pyx_kp_b_iso88591_avV1A_oQ_oQ_fA_gQ __pyx_string_tab[48]
#define __pyx_kp_b_iso88591_QfF_1_oQ_oQ_fA_gQ __pyx_string_tab[49]
#define __pyx_kp_b_iso88591_1F_1_V1A_oQ_oQ_b_aq_gQ __pyx_string_tab[50]
#define __pyx_kp_b_iso88591_AQfAQ_V1A_oQ_oQ_b_aq_gQ __pyx_string_tab[51]
/* #### Code section: module_state_clear ### */
#if CYTHON_USE_MODULE_STATE
static CYTHON_SMALL_CODE int __pyx_m_clear(PyObject *m) {
  __pyx_mstatetype *clear_module_state = __Pyx_PyModule_GetState(m);
  if (!clear_module_state) return 0;
  Py_CLEAR(clear_module_state->__pyx_d);
  Py_CLEAR(clear_module_state->__pyx_b);
  Py_CLEAR(clear_module_state->__pyx_cython_runtime);
  Py_CLEAR(clear_module_state->__pyx_empty_tuple);
  Py_CLEAR(clear_module_state->__pyx_empty_bytes);
  Py_CLEAR(clear_module_state->__pyx_empty_unicode);
  #if CYTHON_PEP489_MULTI_PHASE_INIT
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  Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_complexfloating);
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/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":230
 * 
 *     ctypedef class numpy.dtype [object PyArray_Descr, check_size ignore]:
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline PyTypeObject* typeobj(self) noexcept nogil:
 *             return PyDataType_TYPEOBJ(self)
*/
 
static CYTHON_INLINE PyTypeObject *__pyx_f_5numpy_5dtype_7typeobj___get__(PyArray_Descr *__pyx_v_self) {
  PyTypeObject *__pyx_r;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":232
 *         @property
 *         cdef inline PyTypeObject* typeobj(self) noexcept nogil:
 *             return PyDataType_TYPEOBJ(self)             # <<<<<<<<<<<<<<
 * 
 *         @property
*/
  {
 
    __pyx_r = PyDataType_TYPEOBJ(__pyx_v_self);
  }
  goto __pyx_L0;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":230
 * 
 *     ctypedef class numpy.dtype [object PyArray_Descr, check_size ignore]:
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline PyTypeObject* typeobj(self) noexcept nogil:
 *             return PyDataType_TYPEOBJ(self)
*/
 
  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}
 
/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":234
 *             return PyDataType_TYPEOBJ(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline char kind(self) noexcept nogil:
 *             return PyDataType_KIND(self)
*/
 
static CYTHON_INLINE char __pyx_f_5numpy_5dtype_4kind___get__(PyArray_Descr *__pyx_v_self) {
  char __pyx_r;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":236
 *         @property
 *         cdef inline char kind(self) noexcept nogil:
 *             return PyDataType_KIND(self)             # <<<<<<<<<<<<<<
 * 
 *         @property
*/
  {
 
    __pyx_r = PyDataType_KIND(__pyx_v_self);
  }
  goto __pyx_L0;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":234
 *             return PyDataType_TYPEOBJ(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline char kind(self) noexcept nogil:
 *             return PyDataType_KIND(self)
*/
 
  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}
 
/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":238
 *             return PyDataType_KIND(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline char type(self) noexcept nogil:
 *             return PyDataType_TYPE(self)
*/
 
static CYTHON_INLINE char __pyx_f_5numpy_5dtype_4type___get__(PyArray_Descr *__pyx_v_self) {
  char __pyx_r;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":240
 *         @property
 *         cdef inline char type(self) noexcept nogil:
 *             return PyDataType_TYPE(self)             # <<<<<<<<<<<<<<
 * 
 *         # Numpy sometimes mutates this without warning (e.g. it'll
*/
  {
 
    __pyx_r = PyDataType_TYPE(__pyx_v_self);
  }
  goto __pyx_L0;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":238
 *             return PyDataType_KIND(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline char type(self) noexcept nogil:
 *             return PyDataType_TYPE(self)
*/
 
  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}
 
/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":247
 *         # PyArray_IsNativeByteOrder(dtype.byteorder) instead of
 *         # directly accessing this field.
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline char byteorder(self) noexcept nogil:
 *             return PyDataType_BYTEORDER(self)
*/
 
static CYTHON_INLINE char __pyx_f_5numpy_5dtype_9byteorder___get__(PyArray_Descr *__pyx_v_self) {
  char __pyx_r;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":249
 *         @property
 *         cdef inline char byteorder(self) noexcept nogil:
 *             return PyDataType_BYTEORDER(self)             # <<<<<<<<<<<<<<
 * 
 *         @property
*/
  {
 
    __pyx_r = PyDataType_BYTEORDER(__pyx_v_self);
  }
  goto __pyx_L0;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":247
 *         # PyArray_IsNativeByteOrder(dtype.byteorder) instead of
 *         # directly accessing this field.
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline char byteorder(self) noexcept nogil:
 *             return PyDataType_BYTEORDER(self)
*/
 
  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}
 
/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":251
 *             return PyDataType_BYTEORDER(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline int type_num(self) noexcept nogil:
 *             return PyDataType_TYPENUM(self)
*/
 
static CYTHON_INLINE int __pyx_f_5numpy_5dtype_8type_num___get__(PyArray_Descr *__pyx_v_self) {
  int __pyx_r;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":253
 *         @property
 *         cdef inline int type_num(self) noexcept nogil:
 *             return PyDataType_TYPENUM(self)             # <<<<<<<<<<<<<<
 * 
 *         @property
*/
  {
 
    __pyx_r = PyDataType_TYPENUM(__pyx_v_self);
  }
  goto __pyx_L0;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":251
 *             return PyDataType_BYTEORDER(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline int type_num(self) noexcept nogil:
 *             return PyDataType_TYPENUM(self)
*/
 
  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
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/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":255
 *             return PyDataType_TYPENUM(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline npy_intp itemsize(self) noexcept nogil:
 *             return PyDataType_ELSIZE(self)
*/
 
static CYTHON_INLINE npy_intp __pyx_f_5numpy_5dtype_8itemsize___get__(PyArray_Descr *__pyx_v_self) {
  npy_intp __pyx_r;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":257
 *         @property
 *         cdef inline npy_intp itemsize(self) noexcept nogil:
 *             return PyDataType_ELSIZE(self)             # <<<<<<<<<<<<<<
 * 
 *         @property
*/
  {
 
    __pyx_r = PyDataType_ELSIZE(__pyx_v_self);
  }
  goto __pyx_L0;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":255
 *             return PyDataType_TYPENUM(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline npy_intp itemsize(self) noexcept nogil:
 *             return PyDataType_ELSIZE(self)
*/
 
  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
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/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":259
 *             return PyDataType_ELSIZE(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline npy_intp alignment(self) noexcept nogil:
 *             return PyDataType_ALIGNMENT(self)
*/
 
static CYTHON_INLINE npy_intp __pyx_f_5numpy_5dtype_9alignment___get__(PyArray_Descr *__pyx_v_self) {
  npy_intp __pyx_r;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":261
 *         @property
 *         cdef inline npy_intp alignment(self) noexcept nogil:
 *             return PyDataType_ALIGNMENT(self)             # <<<<<<<<<<<<<<
 * 
 *         # Use fields/names with care as they may be NULL.  You must check
*/
  {
 
    __pyx_r = PyDataType_ALIGNMENT(__pyx_v_self);
  }
  goto __pyx_L0;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":259
 *             return PyDataType_ELSIZE(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline npy_intp alignment(self) noexcept nogil:
 *             return PyDataType_ALIGNMENT(self)
*/
 
  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}
 
/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":265
 *         # Use fields/names with care as they may be NULL.  You must check
 *         # for this using PyDataType_HASFIELDS.
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline object fields(self):
 *             return <object>PyDataType_FIELDS(self)
*/
 
static CYTHON_INLINE PyObject *__pyx_f_5numpy_5dtype_6fields___get__(PyArray_Descr *__pyx_v_self) {
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  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1;
  __Pyx_RefNannySetupContext("__get__", 0);
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":267
 *         @property
 *         cdef inline object fields(self):
 *             return <object>PyDataType_FIELDS(self)             # <<<<<<<<<<<<<<
 * 
 *         @property
*/
  __pyx_t_1 = PyDataType_FIELDS(__pyx_v_self);
 
  {
    PyObject *__pyx_temp;
    {
      __pyx_temp = __pyx_r;
      __Pyx_INCREF(((PyObject *)__pyx_t_1));
      __pyx_r = ((PyObject *)__pyx_t_1);
    }
    __Pyx_XDECREF(__pyx_temp);
  }
 
  goto __pyx_L0;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":265
 *         # Use fields/names with care as they may be NULL.  You must check
 *         # for this using PyDataType_HASFIELDS.
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline object fields(self):
 *             return <object>PyDataType_FIELDS(self)
*/
 
  /* function exit code */
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}
 
/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":269
 *             return <object>PyDataType_FIELDS(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline tuple names(self):
 *             return <tuple>PyDataType_NAMES(self)
*/
 
static CYTHON_INLINE PyObject *__pyx_f_5numpy_5dtype_5names___get__(PyArray_Descr *__pyx_v_self) {
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1;
  __Pyx_RefNannySetupContext("__get__", 0);
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":271
 *         @property
 *         cdef inline tuple names(self):
 *             return <tuple>PyDataType_NAMES(self)             # <<<<<<<<<<<<<<
 * 
 *         # Use PyDataType_HASSUBARRAY to test whether this field is
*/
  __pyx_t_1 = PyDataType_NAMES(__pyx_v_self);
 
  {
    PyObject *__pyx_temp;
    {
      __pyx_temp = __pyx_r;
      __Pyx_INCREF(((PyObject*)__pyx_t_1));
      __pyx_r = ((PyObject*)__pyx_t_1);
    }
    __Pyx_XDECREF(__pyx_temp);
  }
 
  goto __pyx_L0;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":269
 *             return <object>PyDataType_FIELDS(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline tuple names(self):
 *             return <tuple>PyDataType_NAMES(self)
*/
 
  /* function exit code */
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
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/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":276
 *         # valid (the pointer can be NULL). Most users should access
 *         # this field via the inline helper method PyDataType_SHAPE.
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline PyArray_ArrayDescr* subarray(self) noexcept nogil:
 *             return PyDataType_SUBARRAY(self)
*/
 
static CYTHON_INLINE PyArray_ArrayDescr *__pyx_f_5numpy_5dtype_8subarray___get__(PyArray_Descr *__pyx_v_self) {
  PyArray_ArrayDescr *__pyx_r;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":278
 *         @property
 *         cdef inline PyArray_ArrayDescr* subarray(self) noexcept nogil:
 *             return PyDataType_SUBARRAY(self)             # <<<<<<<<<<<<<<
 * 
 *         @property
*/
  {
 
    __pyx_r = PyDataType_SUBARRAY(__pyx_v_self);
  }
  goto __pyx_L0;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":276
 *         # valid (the pointer can be NULL). Most users should access
 *         # this field via the inline helper method PyDataType_SHAPE.
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline PyArray_ArrayDescr* subarray(self) noexcept nogil:
 *             return PyDataType_SUBARRAY(self)
*/
 
  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}
 
/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":280
 *             return PyDataType_SUBARRAY(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline npy_uint64 flags(self) noexcept nogil:
 *             """The data types flags."""
*/
 
static CYTHON_INLINE npy_uint64 __pyx_f_5numpy_5dtype_5flags___get__(PyArray_Descr *__pyx_v_self) {
  npy_uint64 __pyx_r;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":283
 *         cdef inline npy_uint64 flags(self) noexcept nogil:
 *             """The data types flags."""
 *             return PyDataType_FLAGS(self)             # <<<<<<<<<<<<<<
 * 
 * 
*/
  {
 
    __pyx_r = PyDataType_FLAGS(__pyx_v_self);
  }
  goto __pyx_L0;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":280
 *             return PyDataType_SUBARRAY(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline npy_uint64 flags(self) noexcept nogil:
 *             """The data types flags."""
*/
 
  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}
 
/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":292
 *     ctypedef class numpy.broadcast [object PyArrayMultiIterObject, check_size ignore]:
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline int numiter(self) noexcept nogil:
 *             """The number of arrays that need to be broadcast to the same shape."""
*/
 
static CYTHON_INLINE int __pyx_f_5numpy_9broadcast_7numiter___get__(PyArrayMultiIterObject *__pyx_v_self) {
  int __pyx_r;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":295
 *         cdef inline int numiter(self) noexcept nogil:
 *             """The number of arrays that need to be broadcast to the same shape."""
 *             return PyArray_MultiIter_NUMITER(self)             # <<<<<<<<<<<<<<
 * 
 *         @property
*/
  {
 
    __pyx_r = PyArray_MultiIter_NUMITER(__pyx_v_self);
  }
  goto __pyx_L0;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":292
 *     ctypedef class numpy.broadcast [object PyArrayMultiIterObject, check_size ignore]:
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline int numiter(self) noexcept nogil:
 *             """The number of arrays that need to be broadcast to the same shape."""
*/
 
  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}
 
/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":297
 *             return PyArray_MultiIter_NUMITER(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline npy_intp size(self) noexcept nogil:
 *             """The total broadcasted size."""
*/
 
static CYTHON_INLINE npy_intp __pyx_f_5numpy_9broadcast_4size___get__(PyArrayMultiIterObject *__pyx_v_self) {
  npy_intp __pyx_r;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":300
 *         cdef inline npy_intp size(self) noexcept nogil:
 *             """The total broadcasted size."""
 *             return PyArray_MultiIter_SIZE(self)             # <<<<<<<<<<<<<<
 * 
 *         @property
*/
  {
 
    __pyx_r = PyArray_MultiIter_SIZE(__pyx_v_self);
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  goto __pyx_L0;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":297
 *             return PyArray_MultiIter_NUMITER(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline npy_intp size(self) noexcept nogil:
 *             """The total broadcasted size."""
*/
 
  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}
 
/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":302
 *             return PyArray_MultiIter_SIZE(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline npy_intp index(self) noexcept nogil:
 *             """The current (1-d) index into the broadcasted result."""
*/
 
static CYTHON_INLINE npy_intp __pyx_f_5numpy_9broadcast_5index___get__(PyArrayMultiIterObject *__pyx_v_self) {
  npy_intp __pyx_r;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":305
 *         cdef inline npy_intp index(self) noexcept nogil:
 *             """The current (1-d) index into the broadcasted result."""
 *             return PyArray_MultiIter_INDEX(self)             # <<<<<<<<<<<<<<
 * 
 *         @property
*/
  {
 
    __pyx_r = PyArray_MultiIter_INDEX(__pyx_v_self);
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  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":302
 *             return PyArray_MultiIter_SIZE(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline npy_intp index(self) noexcept nogil:
 *             """The current (1-d) index into the broadcasted result."""
*/
 
  /* function exit code */
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/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":307
 *             return PyArray_MultiIter_INDEX(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline int nd(self) noexcept nogil:
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*/
 
static CYTHON_INLINE int __pyx_f_5numpy_9broadcast_2nd___get__(PyArrayMultiIterObject *__pyx_v_self) {
  int __pyx_r;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":310
 *         cdef inline int nd(self) noexcept nogil:
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 * 
 *         @property
*/
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    __pyx_r = PyArray_MultiIter_NDIM(__pyx_v_self);
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 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline int nd(self) noexcept nogil:
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  /* function exit code */
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/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":312
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 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline npy_intp* dimensions(self) noexcept nogil:
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static CYTHON_INLINE npy_intp *__pyx_f_5numpy_9broadcast_10dimensions___get__(PyArrayMultiIterObject *__pyx_v_self) {
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  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":315
 *         cdef inline npy_intp* dimensions(self) noexcept nogil:
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 * 
 *         @property
*/
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  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":312
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 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline npy_intp* dimensions(self) noexcept nogil:
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/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":317
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 *         @property             # <<<<<<<<<<<<<<
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 * 
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 *         @property             # <<<<<<<<<<<<<<
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static CYTHON_INLINE PyArray_Descr *__pyx_f_5numpy_7ndarray_5descr___get__(PyArrayObject *__pyx_v_self) {
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 *         @property             # <<<<<<<<<<<<<<
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 *         @property
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 *         @property             # <<<<<<<<<<<<<<
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/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":353
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 *         @property             # <<<<<<<<<<<<<<
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 *         @property
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 *         @property             # <<<<<<<<<<<<<<
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/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":361
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 *         @property             # <<<<<<<<<<<<<<
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 *         @property             # <<<<<<<<<<<<<<
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 *         @property             # <<<<<<<<<<<<<<
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    Py_XDECREF(tmp_type);
    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;
    *type = NULL;
    *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);
        #else
        *tb = PyException_GetTraceback(exc_value);
        #endif
    }
#else
    *type = tstate->curexc_type;
    *value = tstate->curexc_value;
    *tb = tstate->curexc_traceback;
    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
#endif
}
#endif
 
/* GivenExceptionMatches (used by PyErrExceptionMatches) */
#if CYTHON_COMPILING_IN_CPYTHON
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
 
/* PyErrExceptionMatches */
#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
 
/* GetException */
#if CYTHON_FAST_THREAD_STATE
static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb)
#else
static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb)
#endif
{
    PyObject *local_type = NULL, *local_value, *local_tb = NULL;
#if CYTHON_FAST_THREAD_STATE
    PyObject *tmp_type, *tmp_value, *tmp_tb;
  #if PY_VERSION_HEX >= 0x030C0000
    local_value = tstate->current_exception;
    tstate->current_exception = 0;
  #else
    local_type = tstate->curexc_type;
    local_value = tstate->curexc_value;
    local_tb = tstate->curexc_traceback;
    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
  #endif
#elif __PYX_LIMITED_VERSION_HEX >= 0x030C0000
    local_value = PyErr_GetRaisedException();
#else
    PyErr_Fetch(&local_type, &local_value, &local_tb);
#endif
#if __PYX_LIMITED_VERSION_HEX >= 0x030C0000
    if (likely(local_value)) {
        local_type = (PyObject*) Py_TYPE(local_value);
        Py_INCREF(local_type);
        local_tb = PyException_GetTraceback(local_value);
    }
#else
    PyErr_NormalizeException(&local_type, &local_value, &local_tb);
#if CYTHON_FAST_THREAD_STATE
    if (unlikely(tstate->curexc_type))
#else
    if (unlikely(PyErr_Occurred()))
#endif
        goto bad;
    if (local_tb) {
        if (unlikely(PyException_SetTraceback(local_value, local_tb) < 0))
            goto bad;
    }
#endif // __PYX_LIMITED_VERSION_HEX >= 0x030C0000
    Py_XINCREF(local_tb);
    Py_XINCREF(local_type);
    Py_XINCREF(local_value);
    *type = local_type;
    *value = local_value;
    *tb = local_tb;
#if CYTHON_FAST_THREAD_STATE
    #if CYTHON_USE_EXC_INFO_STACK
    {
        _PyErr_StackItem *exc_info = tstate->exc_info;
      #if PY_VERSION_HEX >= 0x030B00a4
        tmp_value = exc_info->exc_value;
        exc_info->exc_value = local_value;
        tmp_type = NULL;
        tmp_tb = NULL;
        Py_XDECREF(local_type);
        Py_XDECREF(local_tb);
      #else
        tmp_type = exc_info->exc_type;
        tmp_value = exc_info->exc_value;
        tmp_tb = exc_info->exc_traceback;
        exc_info->exc_type = local_type;
        exc_info->exc_value = local_value;
        exc_info->exc_traceback = local_tb;
      #endif
    }
    #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = local_type;
    tstate->exc_value = local_value;
    tstate->exc_traceback = local_tb;
    #endif
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
#elif __PYX_LIMITED_VERSION_HEX >= 0x030b0000
    PyErr_SetHandledException(local_value);
    Py_XDECREF(local_value);
    Py_XDECREF(local_type);
    Py_XDECREF(local_tb);
#else
    PyErr_SetExcInfo(local_type, local_value, local_tb);
#endif
    return 0;
#if __PYX_LIMITED_VERSION_HEX < 0x030C0000
bad:
    *type = 0;
    *value = 0;
    *tb = 0;
    Py_XDECREF(local_type);
    Py_XDECREF(local_value);
    Py_XDECREF(local_tb);
    return -1;
#endif
}
 
/* PyObjectCall (used by PyObjectFastCall) */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    PyObject *result;
    ternaryfunc call = Py_TYPE(func)->tp_call;
    if (unlikely(!call))
        return PyObject_Call(func, arg, kw);
    if (unlikely(Py_EnterRecursiveCall(" while calling a Python object")))
        return NULL;
    result = (*call)(func, arg, kw);
    Py_LeaveRecursiveCall();
    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
        PyErr_SetString(
            PyExc_SystemError,
            "NULL result without error in PyObject_Call");
    }
    return result;
}
#endif
 
/* PyObjectCallMethO (used by PyObjectFastCall) */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg) {
    PyObject *self, *result;
    PyCFunction cfunc;
    cfunc = __Pyx_CyOrPyCFunction_GET_FUNCTION(func);
    self = __Pyx_CyOrPyCFunction_GET_SELF(func);
    if (unlikely(Py_EnterRecursiveCall(" while calling a Python object")))
        return NULL;
    result = cfunc(self, arg);
    Py_LeaveRecursiveCall();
    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
        PyErr_SetString(
            PyExc_SystemError,
            "NULL result without error in PyObject_Call");
    }
    return result;
}
#endif
 
/* PyObjectFastCall */
#if CYTHON_COMPILING_IN_LIMITED_API
static PyObject* __Pyx_PyObject_FastCall_fallback(PyObject *func, PyObject * const*args, size_t nargs, PyObject *kwargs) {
    PyObject *argstuple;
    PyObject *result = 0;
    size_t i;
    argstuple = PyTuple_New((Py_ssize_t)nargs);
    if (unlikely(!argstuple)) return NULL;
    for (i = 0; i < nargs; i++) {
        Py_INCREF(args[i]);
        if (__Pyx_PyTuple_SET_ITEM(argstuple, (Py_ssize_t)i, args[i]) != (0)) goto bad;
    }
    result = __Pyx_PyObject_Call(func, argstuple, kwargs);
  bad:
    Py_DECREF(argstuple);
    return result;
}
#endif
#if CYTHON_VECTORCALL && !(CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_PYPY)
  #if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE vectorcallfunc __Pyx_PyVectorcall_Function(PyObject *callable) {
    PyTypeObject *tp = Py_TYPE(callable);
    #if defined(__Pyx_CyFunction_USED)
    if (__Pyx_CyFunction_CheckExact(callable)) {
        return __Pyx_CyFunction_func_vectorcall(callable);
    }
    #endif
    if (!PyType_HasFeature(tp, Py_TPFLAGS_HAVE_VECTORCALL)) {
        return NULL;
    }
    assert(PyCallable_Check(callable));
    Py_ssize_t offset = tp->tp_vectorcall_offset;
    assert(offset > 0);
    vectorcallfunc ptr;
    memcpy(&ptr, (char *) callable + offset, sizeof(ptr));
    return ptr;
}
  #else
    #define __Pyx_PyVectorcall_Function(callable) PyVectorcall_Function(callable)
  #endif
#endif
static CYTHON_INLINE PyObject* __Pyx_PyObject_FastCallDict(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwargs) {
    Py_ssize_t nargs = __Pyx_PyVectorcall_NARGS(nargsf);
#if CYTHON_COMPILING_IN_CPYTHON
    if (nargs == 0 && kwargs == NULL) {
        if (__Pyx_CyOrPyCFunction_Check(func) && likely( __Pyx_CyOrPyCFunction_GET_FLAGS(func) & METH_NOARGS))
            return __Pyx_PyObject_CallMethO(func, NULL);
    }
    else if (nargs == 1 && kwargs == NULL) {
        if (__Pyx_CyOrPyCFunction_Check(func) && likely( __Pyx_CyOrPyCFunction_GET_FLAGS(func) & METH_O))
            return __Pyx_PyObject_CallMethO(func, args[0]);
    }
#endif
    if (kwargs == NULL) {
        #if CYTHON_VECTORCALL
          #if CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_PYPY
            return PyObject_Vectorcall(func, args, nargsf, NULL);
          #else
            vectorcallfunc f = __Pyx_PyVectorcall_Function(func);
            if (f) {
                return f(func, args, nargsf, NULL);
            }
          #endif
        #endif
    }
    if (nargs == 0) {
        return __Pyx_PyObject_Call(func, __pyx_mstate_global->__pyx_empty_tuple, kwargs);
    }
    #if CYTHON_COMPILING_IN_LIMITED_API
    return __Pyx_PyObject_FastCall_fallback(func, args, (size_t)nargs, kwargs);
    #elif CYTHON_COMPILING_IN_PYPY
    return PyObject_VectorcallDict(func, args, (size_t) nargs, kwargs);
    #else
    return PyObject_VectorcallDict(func, args, nargsf, kwargs);
    #endif
}
 
/* RaiseException */
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {
    PyObject* owned_instance = NULL;
    if (tb == Py_None) {
        tb = 0;
    } else if (tb && !PyTraceBack_Check(tb)) {
        PyErr_SetString(PyExc_TypeError,
            "raise: arg 3 must be a traceback or None");
        goto bad;
    }
    if (value == Py_None)
        value = 0;
    if (PyExceptionInstance_Check(type)) {
        if (value) {
            PyErr_SetString(PyExc_TypeError,
                "instance exception may not have a separate value");
            goto bad;
        }
        value = type;
        type = (PyObject*) Py_TYPE(value);
    } else if (PyExceptionClass_Check(type)) {
        PyObject *instance_class = NULL;
        if (value && PyExceptionInstance_Check(value)) {
            instance_class = (PyObject*) Py_TYPE(value);
            if (instance_class != type) {
                int is_subclass = PyObject_IsSubclass(instance_class, type);
                if (!is_subclass) {
                    instance_class = NULL;
                } else if (unlikely(is_subclass == -1)) {
                    goto bad;
                } else {
                    type = instance_class;
                }
            }
        }
        if (!instance_class) {
            PyObject *args;
            if (!value)
                args = PyTuple_New(0);
            else if (PyTuple_Check(value)) {
                Py_INCREF(value);
                args = value;
            } else
                args = PyTuple_Pack(1, value);
            if (!args)
                goto bad;
            owned_instance = PyObject_Call(type, args, NULL);
            Py_DECREF(args);
            if (!owned_instance)
                goto bad;
            value = owned_instance;
            if (!PyExceptionInstance_Check(value)) {
                PyErr_Format(PyExc_TypeError,
                             "calling %R should have returned an instance of "
                             "BaseException, not %R",
                             type, Py_TYPE(value));
                goto bad;
            }
        }
    } else {
        PyErr_SetString(PyExc_TypeError,
            "raise: exception class must be a subclass of BaseException");
        goto bad;
    }
    if (cause) {
        PyObject *fixed_cause;
        if (cause == Py_None) {
            fixed_cause = NULL;
        } else if (PyExceptionClass_Check(cause)) {
            fixed_cause = PyObject_CallObject(cause, NULL);
            if (fixed_cause == NULL)
                goto bad;
        } else if (PyExceptionInstance_Check(cause)) {
            fixed_cause = cause;
            Py_INCREF(fixed_cause);
        } else {
            PyErr_SetString(PyExc_TypeError,
                            "exception causes must derive from "
                            "BaseException");
            goto bad;
        }
        PyException_SetCause(value, fixed_cause);
    }
    PyErr_SetObject(type, value);
    if (tb) {
#if PY_VERSION_HEX >= 0x030C00A6
        PyException_SetTraceback(value, tb);
#elif CYTHON_FAST_THREAD_STATE
        PyThreadState *tstate = __Pyx_PyThreadState_Current;
        PyObject* tmp_tb = tstate->curexc_traceback;
        if (tb != tmp_tb) {
            Py_INCREF(tb);
            tstate->curexc_traceback = tb;
            Py_XDECREF(tmp_tb);
        }
#else
        PyObject *tmp_type, *tmp_value, *tmp_tb;
        PyErr_Fetch(&tmp_type, &tmp_value, &tmp_tb);
        Py_INCREF(tb);
        PyErr_Restore(tmp_type, tmp_value, tb);
        Py_XDECREF(tmp_tb);
#endif
    }
bad:
    Py_XDECREF(owned_instance);
    return;
}
 
/* CopyObjectArray (used by TupleOrListFromArrayImpl) */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE void __Pyx_copy_object_array(PyObject *const *CYTHON_RESTRICT src, PyObject** CYTHON_RESTRICT dest, Py_ssize_t length) {
    PyObject *v;
    Py_ssize_t i;
    for (i = 0; i < length; i++) {
        v = dest[i] = src[i];
        Py_INCREF(v);
    }
}
#endif
 
/* TupleOrListFromArrayImpl (used by TupleFromArray) */
#if !(PY_VERSION_HEX >= 0x030F0000 && !CYTHON_COMPILING_IN_LIMITED_API)
CYTHON_UNUSED static PyObject *
__Pyx_PyTuple_FromArray(PyObject *const *src, Py_ssize_t n) {
    if (n <= 0) {
        return __Pyx_NewRef(__pyx_mstate_global->__pyx_empty_tuple);
    }
    PyObject *res = PyTuple_New(n);
    if (unlikely(res == NULL)) return NULL;
    #if CYTHON_COMPILING_IN_CPYTHON
    __Pyx_copy_object_array(src, ((PyTupleObject*)res)->ob_item, n);
    #else
    Py_ssize_t i;
    for (i = 0; i < n; i++) {
        Py_INCREF(src[i]);
        if (unlikely(__Pyx_PyTuple_SET_ITEM(res, i, src[i]) < (0))) {
            Py_DECREF(res);
            return NULL;
        }
    }
    #endif
    return res;
}
#endif
 
/* PyObjectCompare (used by UnicodeEquals) */
#ifndef __Pyx_DEFINED_PyObject_CompareStrStrBoolEq
#define __Pyx_DEFINED_PyObject_CompareStrStrBoolEq
static CYTHON_INLINE int __Pyx_PyObject_CompareStrStrBoolEq(PyObject* s1, PyObject* s2) {
    #if __PYX_LIMITED_VERSION_HEX >= 0x030e0000
    int result = PyUnicode_Equal(s1, s2);
    #if !CYTHON_COMPILING_IN_CPYTHON
    if (unlikely(result == -1)) return -1;
    #endif
    if (result == 0) goto __pyx_return_false; else goto __pyx_return_true;
    #else
    int result = PyUnicode_Compare(s1, s2);
    if (unlikely((result == -1) && PyErr_Occurred())) return -1;
    if (result == 0) goto __pyx_return_true; else goto __pyx_return_false;
    #endif
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}
#endif
static CYTHON_INLINE int __Pyx_PyObject_CompareBoolEq_str_str(PyObject *op1, PyObject *op2, int pyop) {
    CYTHON_UNUSED_VAR(pyop);
    if (unlikely(op1 == Py_None)) {
        if (op2 == Py_None) goto __pyx_return_true; else goto __pyx_return_false;
    }
    if (unlikely(op2 == Py_None)) {
        if (op1 == Py_None) goto __pyx_return_true; else goto __pyx_return_false;
    }
    
    if (likely(op1 != Py_None)) {
        if (op1 == op2) goto __pyx_return_true;
        if (likely(op2 != Py_None)) {
            return __Pyx_PyObject_CompareStrStrBoolEq(op1, op2);
        }
        goto __pyx_richcmp;
    }
    
    if ((0)) goto __pyx_richcmp;
    if ((0)) goto __pyx_return_true;
    if ((0)) goto __pyx_return_false;
__pyx_richcmp:
    return __Pyx_PyObject_RichCompareBool(op1, op2, Py_EQ);
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}
 
/* fastcall */
#if CYTHON_VECTORCALL
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);
        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_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL
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);
}
 
/* IgnoreException (used by UnpackUnboundCMethod_impl) */
static CYTHON_INLINE int __Pyx_IgnoreGivenException(PyObject *given_exception, PyObject *ignorable_exception) {
    if (PyErr_GivenExceptionMatches(given_exception ? given_exception : PyErr_Occurred(), ignorable_exception)) {
        PyErr_Clear();
        return 1;
    }
    return 0;
}
 
/* PyObjectGetAttrStr (used by UnpackUnboundCMethod_impl) */
#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_impl (used by UnpackUnboundCMethod) */
#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;
}
#else
static PyObject *__Pyx_SelflessCall(PyObject *method, PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames) {
    return PyObject_Vectorcall(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);
    } 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 && !__Pyx_IgnoreException(PyExc_AttributeError)) {
            return -1;
        }
#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);
    #if CYTHON_AVOID_BORROWED_REFS
    while (__Pyx_PyDict_NextRef(kwds, &pos, &key, NULL))
    #else
    (void) __Pyx_PyDict_NextRef;
    while (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_VECTORCALL && 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);
}
 
/* ArgTypeTestError (used by ArgTypeTest) */
static void __Pyx_ArgTypeError(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;
    } 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);
    #if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030d0000
    if (unlikely(!type_name)) return;
    #endif
    obj_type_name = __Pyx_PyType_GetFullyQualifiedName(Py_TYPE(obj));
    #if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030d0000
    if (unlikely(!obj_type_name)) goto obj_type_name_failed;
    #endif
    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(obj_type_name);
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030d0000
obj_type_name_failed:
#endif
    __Pyx_DECREF_TypeName(type_name);
    return;
}
 
/* ArgTypeTest */
static CYTHON_INLINE int __Pyx_ArgTypeTest(PyObject *obj, PyTypeObject *type, int none_allowed, const char *name, int exact) {
    if (likely(Py_IS_TYPE(obj, type) | (none_allowed && (obj == Py_None))))
        return 1;
    if (!exact && likely(type) && likely(__Pyx_TypeCheck(obj, type)))
        return 1;
    __Pyx_ArgTypeError(obj, type, name, exact);
    return 0;
}
 
/* TypeImport */
#ifndef __PYX_HAVE_RT_ImportType_3_3_0
#define __PYX_HAVE_RT_ImportType_3_3_0
static PyTypeObject *__Pyx_ImportType_3_3_0(PyObject *module, const char *module_name, const char *class_name,
    size_t size, size_t alignment, enum __Pyx_ImportType_CheckSize_3_3_0 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_3_0 &&
            ((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_3_0 && (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
 
/* PyObjectGetAttrStrNoError (used by HasAttr) */
#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
}
 
/* HasAttr (used by ImportImpl) */
#if __PYX_LIMITED_VERSION_HEX < 0x030d0000
static CYTHON_INLINE int __Pyx_HasAttr(PyObject *o, PyObject *n) {
    PyObject *r;
    if (unlikely(!PyUnicode_Check(n))) {
        PyErr_SetString(PyExc_TypeError,
                        "hasattr(): attribute name must be string");
        return -1;
    }
    r = __Pyx_PyObject_GetAttrStrNoError(o, n);
    if (!r) {
        return (unlikely(PyErr_Occurred())) ? -1 : 0;
    } else {
        Py_DECREF(r);
        return 1;
    }
}
#endif
 
/* TupleOrListFromArrayImpl (used by ListFromArray) */
CYTHON_UNUSED static PyObject *
__Pyx_PyList_FromArray(PyObject *const *src, Py_ssize_t n) {
    PyObject *res = PyList_New(n);
    if (unlikely(res == NULL)) return NULL;
    #if CYTHON_COMPILING_IN_CPYTHON
    __Pyx_copy_object_array(src, ((PyListObject*)res)->ob_item, n);
    #else
    Py_ssize_t i;
    for (i = 0; i < n; i++) {
        Py_INCREF(src[i]);
        if (unlikely(__Pyx_PyList_SET_ITEM(res, i, src[i]) < (0))) {
            Py_DECREF(res);
            return NULL;
        }
    }
    #endif
    return res;
}
 
/* ImportImpl (used by Import) */
static int __Pyx__Import_GetModule(PyObject *qualname, PyObject **module) {
    PyObject *imported_module = PyImport_GetModule(qualname);
    if (unlikely(!imported_module)) {
        *module = NULL;
        if (PyErr_Occurred()) {
            return -1;
        }
        return 0;
    }
    *module = imported_module;
    return 1;
}
static int __Pyx__Import_Lookup(PyObject *qualname, PyObject *const *imported_names, Py_ssize_t len_imported_names, PyObject **module) {
    PyObject *imported_module;
    PyObject *top_level_package_name;
    Py_ssize_t i;
    int status, module_found;
    Py_ssize_t dot_index;
    module_found = __Pyx__Import_GetModule(qualname, &imported_module);
    if (unlikely(!module_found || module_found == -1)) {
        *module = NULL;
        return module_found;
    }
    if (imported_names) {
        for (i = 0; i < len_imported_names; i++) {
            PyObject *imported_name = imported_names[i];
#if __PYX_LIMITED_VERSION_HEX < 0x030d0000
            int has_imported_attribute = PyObject_HasAttr(imported_module, imported_name);
#else
            int has_imported_attribute = PyObject_HasAttrWithError(imported_module, imported_name);
            if (unlikely(has_imported_attribute == -1)) goto error;
#endif
            if (!has_imported_attribute) {
                goto not_found;
            }
        }
        *module = imported_module;
        return 1;
    }
    dot_index = PyUnicode_FindChar(qualname, '.', 0, PY_SSIZE_T_MAX, 1);
    if (dot_index == -1) {
        *module = imported_module;
        return 1;
    }
    if (unlikely(dot_index == -2)) goto error;
    top_level_package_name = PyUnicode_Substring(qualname, 0, dot_index);
    if (unlikely(!top_level_package_name)) goto error;
    Py_DECREF(imported_module);
    status = __Pyx__Import_GetModule(top_level_package_name, module);
    Py_DECREF(top_level_package_name);
    return status;
error:
    Py_DECREF(imported_module);
    *module = NULL;
    return -1;
not_found:
    Py_DECREF(imported_module);
    *module = NULL;
    return 0;
}
static PyObject *__Pyx__Import(PyObject *name, PyObject *const *imported_names, Py_ssize_t len_imported_names, PyObject *qualname, PyObject *moddict, int level) {
    PyObject *module = 0;
    PyObject *empty_dict = 0;
    PyObject *from_list = 0;
    int module_found;
    if (!qualname) {
        qualname = name;
    }
    module_found = __Pyx__Import_Lookup(qualname, imported_names, len_imported_names, &module);
    if (likely(module_found == 1)) {
        return module;
    } else if (unlikely(module_found == -1)) {
        return NULL;
    }
    #if !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x030f00a6
    empty_dict = PyFrozenDict_New(NULL);
    #else
    empty_dict = PyDict_New();
    #endif
    if (unlikely(!empty_dict))
        goto bad;
    if (imported_names) {
        from_list = __Pyx_PyList_FromArray(imported_names, len_imported_names);
        if (unlikely(!from_list))
            goto bad;
    }
    if (level == -1) {
        const char* package_sep = strchr(__Pyx_MODULE_NAME, '.');
        if (package_sep != (0)) {
            module = PyImport_ImportModuleLevelObject(
                name, moddict, empty_dict, from_list, 1);
            if (unlikely(!module)) {
                if (unlikely(!PyErr_ExceptionMatches(PyExc_ImportError)))
                    goto bad;
                PyErr_Clear();
            }
        }
        level = 0;
    }
    if (!module) {
        module = PyImport_ImportModuleLevelObject(
            name, moddict, empty_dict, from_list, level);
    }
bad:
    Py_XDECREF(from_list);
    Py_XDECREF(empty_dict);
    return module;
}
 
/* Import */
static PyObject *__Pyx_Import(PyObject *name, PyObject *const *imported_names, Py_ssize_t len_imported_names, PyObject *qualname, int level) {
    return __Pyx__Import(name, imported_names, len_imported_names, qualname, __pyx_mstate_global->__pyx_d, level);
}
 
/* dict_setdefault (used by FetchCommonType) */
static CYTHON_INLINE PyObject *__Pyx_PyDict_SetDefault(PyObject *d, PyObject *key, PyObject *default_value) {
    PyObject* value;
#if __PYX_LIMITED_VERSION_HEX >= 0x030F0000 || (!CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x030d00A4)
    PyDict_SetDefaultRef(d, key, default_value, &value);
#elif CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX >= 0x030C0000
    PyObject *args[] = {d, key, default_value};
    value = PyObject_VectorcallMethod(__pyx_mstate_global->__pyx_n_u_setdefault, args, 3 | PY_VECTORCALL_ARGUMENTS_OFFSET, NULL);
#elif CYTHON_COMPILING_IN_LIMITED_API
    value = PyObject_CallMethodObjArgs(d, __pyx_mstate_global->__pyx_n_u_setdefault, key, default_value, NULL);
#else
    value = PyDict_SetDefault(d, key, default_value);
    if (unlikely(!value)) return NULL;
    Py_INCREF(value);
#endif
    return value;
}
 
/* AddModuleRef (used by FetchSharedCythonModule) */
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING && PY_VERSION_HEX < 0x030F00a3
  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) {
      if ((PY_VERSION_HEX >= 0x030E0000) &&  Py_Version >= 0x030E0100) {
          return PyImport_AddModuleRef(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
  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);
}
 
/* VerifyCachedType (used by FetchCommonType) */
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 && CYTHON_OPAQUE_OBJECTS
    if (expected_basicsize < 0) {
        basicsize = PyType_GetTypeDataSize((PyTypeObject*)cached_type);
    } else
#endif
    {
    #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 ((expected_basicsize >= 0) ?
            (basicsize != expected_basicsize) :
            (basicsize < -expected_basicsize)) {
        PyErr_Format(PyExc_TypeError,
            "Shared Cython type %.200s has the wrong size, try recompiling",
            name);
        return -1;
    }
    return 0;
}
 
/* 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);
        Py_SET_TYPE(result, metaclass);
        Py_DECREF(old_tp);
        PyType_Modified((PyTypeObject*)result);
    }
    return result;
}
#else
#define __Pyx_PyType_FromMetaclass(me, mo, s, b) PyType_FromMetaclass(me, mo, s, b)
#endif
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;
    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;
}
 
/* CythonFunctionPerModule (used by CythonFunctionShared) */
#if CYTHON_COMPILING_IN_LIMITED_API
static CYTHON_INLINE int __Pyx__IsSameCyOrCFunctionNoMethod(PyObject *func, void (*cfunc)(void)) {
    if (__Pyx_CyFunction_Check(func)) {
        return __Pyx_as_CyFunctionObject(func)->func_methoddef->ml_meth == (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 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 CYTHON_INLINE PyObject *__Pyx_CyFunction_InitDefaults(PyObject *func, PyTypeObject *defaults_type) {
    __pyx_CyFunctionObject *m = __Pyx_as_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_as_CyFunctionObject(func);
    m->defaults_tuple = tuple;
    Py_INCREF(tuple);
}
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *func, PyObject *dict) {
    __pyx_CyFunctionObject *m = __Pyx_as_CyFunctionObject(func);
    m->defaults_kwdict = dict;
    Py_INCREF(dict);
}
static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *func, PyObject *dict) {
    __pyx_CyFunctionObject *m = __Pyx_as_CyFunctionObject(func);
    m->func_annotations = dict;
    Py_INCREF(dict);
}
 
/* CallTypeTraverse (used by CythonFunctionShared) */
#if !CYTHON_USE_TYPE_SPECS
#else
static int __Pyx_call_type_traverse(PyObject *o, int always_call, visitproc visit, void *arg) {
    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
 
/* 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_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) */
static PyObject *
__Pyx_CyFunction_get_doc_locked(__pyx_CyFunctionObject *op)
{
    if (unlikely(op->func_doc == NULL)) {
#if CYTHON_COMPILING_IN_LIMITED_API
        const char *doc = op->func_methoddef->ml_doc;
#else
        const char *doc = ((PyCFunctionObject*)op)->m_ml->ml_doc;
#endif
        if (doc) {
            op->func_doc = PyUnicode_FromString(doc);
            if (unlikely(op->func_doc == NULL))
                return NULL;
        } else {
            Py_INCREF(Py_None);
            return Py_None;
        }
    }
    Py_INCREF(op->func_doc);
    return op->func_doc;
}
static PyObject *
__Pyx_CyFunction_get_doc(PyObject *op_in, void *closure) {
    PyObject *result;
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    CYTHON_UNUSED_VAR(closure);
    __Pyx_BEGIN_CRITICAL_SECTION(op_in);
    result = __Pyx_CyFunction_get_doc_locked(op);
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static int
__Pyx_CyFunction_set_doc(PyObject *op_in, PyObject *value, void *context)
{
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    CYTHON_UNUSED_VAR(context);
    if (value == NULL) {
        value = Py_None;
    }
    Py_INCREF(value);
    __Pyx_BEGIN_CRITICAL_SECTION(op_in);
    __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
        const char *name = op->func_methoddef->ml_name;
#else
        const char *name = ((PyCFunctionObject*)op)->m_ml->ml_name;
#endif
        op->func_name = PyUnicode_InternFromString(name);
        if (unlikely(op->func_name == NULL))
            return NULL;
    }
    Py_INCREF(op->func_name);
    return op->func_name;
}
static PyObject *
__Pyx_CyFunction_get_name(PyObject *op, void *context)
{
    PyObject *result = NULL;
    CYTHON_UNUSED_VAR(context);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    result = __Pyx_CyFunction_get_name_locked(__Pyx_as_CyFunctionObject(op));
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static int
__Pyx_CyFunction_set_name(PyObject *op_in, 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;
    }
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    Py_INCREF(value);
    __Pyx_BEGIN_CRITICAL_SECTION(op_in);
    __Pyx_Py_XDECREF_SET(op->func_name, value);
    __Pyx_END_CRITICAL_SECTION();
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_qualname(PyObject *op_in, void *context)
{
    CYTHON_UNUSED_VAR(context);
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    PyObject *result;
    __Pyx_BEGIN_CRITICAL_SECTION(op_in);
    Py_INCREF(op->func_qualname);
    result = op->func_qualname;
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static int
__Pyx_CyFunction_set_qualname(PyObject *op_in, 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;
    }
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    Py_INCREF(value);
    __Pyx_BEGIN_CRITICAL_SECTION(op_in);
    __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(PyObject *op_in, void *context)
{
    CYTHON_UNUSED_VAR(context);
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    Py_INCREF(op->func_globals);
    return op->func_globals;
}
static PyObject *
__Pyx_CyFunction_get_closure(PyObject *op, void *context)
{
    CYTHON_UNUSED_VAR(op);
    CYTHON_UNUSED_VAR(context);
    Py_INCREF(Py_None);
    return Py_None;
}
static PyObject *
__Pyx_CyFunction_get_code(PyObject *op_in, void *context)
{
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    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, PyObject *op_obj) {
    int result = 0;
    PyObject *res = op->defaults_getter(op_obj);
    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(PyObject *op_in, PyObject* value, void *context) {
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    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_in);
    __Pyx_Py_XDECREF_SET(op->defaults_tuple, value);
    __Pyx_END_CRITICAL_SECTION();
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_defaults_locked(PyObject *op_in) {
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    PyObject* result = op->defaults_tuple;
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (unlikely(__Pyx_CyFunction_init_defaults(op, op_in) < 0)) return NULL;
            result = op->defaults_tuple;
        } else {
            result = Py_None;
        }
    }
    Py_INCREF(result);
    return result;
}
static PyObject *
__Pyx_CyFunction_get_defaults(PyObject *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(PyObject *op_in, PyObject* value, void *context) {
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    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_in);
    __Pyx_Py_XDECREF_SET(op->defaults_kwdict, value);
    __Pyx_END_CRITICAL_SECTION();
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_kwdefaults_locked(PyObject *op_in) {
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    PyObject* result = op->defaults_kwdict;
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (unlikely(__Pyx_CyFunction_init_defaults(op, op_in) < 0)) return NULL;
            result = op->defaults_kwdict;
        } else {
            result = Py_None;
        }
    }
    Py_INCREF(result);
    return result;
}
static PyObject *
__Pyx_CyFunction_get_kwdefaults(PyObject *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_annotate_in_dict_if_exists(PyObject *op_in, PyObject *value);
static int
__Pyx_CyFunction_set_annotations(PyObject *op_in, 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;
    }
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    Py_XINCREF(value);
    __Pyx_BEGIN_CRITICAL_SECTION(op_in);
    __Pyx_Py_XDECREF_SET(op->func_annotations, value);
    __Pyx_END_CRITICAL_SECTION();
    if (unlikely(__Pyx_CyFunction_set_annotate_in_dict_if_exists(op_in, Py_None) < 0)) return -1;
    return 0;
}
static int
__Pyx_CyFunction_get_dict_if_exists(PyObject *op_in, PyObject **dict) {
    /* Return 1 if the function dict exists, 0 otherwise.  This cannot fail:
     * _PyObject_GetDictPtr() may clear errors internally, but never reports them. */
#if CYTHON_COMPILING_IN_PYPY
    *dict = PyObject_GenericGetDict(op_in, NULL);
#elif CYTHON_COMPILING_IN_LIMITED_API || PY_VERSION_HEX < 0x030C0000
    *dict = __Pyx_as_CyFunctionObject(op_in)->func_dict;
#else
    PyObject **dictptr = _PyObject_GetDictPtr(op_in);
    *dict = likely(dictptr) ? *dictptr : NULL;
#endif
    return *dict ? 1 : 0;
}
static int
__Pyx_CyFunction_get_annotate_from_dict_if_exists(PyObject *op_in, PyObject **annotate) {
    PyObject *dict;
    int dict_found;
    *annotate = NULL;
    dict_found = __Pyx_CyFunction_get_dict_if_exists(op_in, &dict);
    if (!dict_found) return 0;
    return __Pyx_PyDict_GetItemRef(dict, __pyx_mstate_global->__pyx_n_u_annotate, annotate);
}
static int
__Pyx_CyFunction_set_annotate_in_dict_if_exists(PyObject *op_in, PyObject *value) {
    PyObject *dict;
    int dict_found;
    dict_found = __Pyx_CyFunction_get_dict_if_exists(op_in, &dict);
    if (!dict_found) return 0;
    if (value) {
        return PyDict_SetItem(dict, __pyx_mstate_global->__pyx_n_u_annotate, value);
    } else {
#if !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x030d0000
        return PyDict_Pop(dict, __pyx_mstate_global->__pyx_n_u_annotate, NULL);
#else
        int result = PyDict_Contains(dict, __pyx_mstate_global->__pyx_n_u_annotate);
        if (result == 1) {
            result = PyDict_DelItem(dict, __pyx_mstate_global->__pyx_n_u_annotate);
        }
        return result;
#endif
    }
}
static int
__Pyx_CyFunction_set_annotate_in_dict(PyObject *op_in, PyObject *value) {
    PyObject *dict;
    int result;
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
    dict = __Pyx_CyFunction_get_dict(__Pyx_as_CyFunctionObject(op_in), NULL);
#else
    dict = PyObject_GenericGetDict(op_in, NULL);
#endif
    if (unlikely(!dict)) return -1;
    result = PyDict_SetItem(dict, __pyx_mstate_global->__pyx_n_u_annotate, value);
    Py_DECREF(dict);
    return result;
}
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(PyObject *op_in, void *context) {
    PyObject *annotate = NULL;
    PyObject *result = NULL;
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    CYTHON_UNUSED_VAR(context);
    __Pyx_BEGIN_CRITICAL_SECTION(op_in);
    result = __Pyx_XNewRef(op->func_annotations);
    __Pyx_END_CRITICAL_SECTION();
    if (result) return result;
    if (unlikely(__Pyx_CyFunction_get_annotate_from_dict_if_exists(op_in, &annotate) < 0)) return NULL;
    if (!annotate || annotate == Py_None) {
        Py_XDECREF(annotate);
        __Pyx_BEGIN_CRITICAL_SECTION(op_in);
        result = __Pyx_CyFunction_get_annotations_locked(op);
        __Pyx_END_CRITICAL_SECTION();
        return result;
    }
    PyObject *format = PyLong_FromLong(1L);  // annotationlib.Format.VALUE
    if (likely(format)) {
        if (!Py_EnterRecursiveCall(" cyfunction __annotations__.__get__")) {
            result = __Pyx_PyObject_CallOneArg(annotate, format);
            Py_LeaveRecursiveCall();
            Py_DECREF(format);
        }
    }
    Py_DECREF(annotate);
    if (unlikely(!result)) return NULL;
    if (unlikely(!PyDict_Check(result))) {
        PyErr_SetString(PyExc_TypeError, "__annotate__ must return a dict");
        Py_DECREF(result);
        return NULL;
    }
    __Pyx_BEGIN_CRITICAL_SECTION(op_in);
    __Pyx_Py_XDECREF_SET(op->func_annotations, __Pyx_NewRef(result));
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static PyObject *__Pyx_CyFunction_annotate_impl(PyObject *self, PyObject *arg) {
    CYTHON_UNUSED_VAR(arg);
    if (unlikely(!self)) {
        PyErr_SetString(PyExc_SystemError, "cython __annotate__ called without 'self' argument");
        return NULL;
    }
    PyObject *result;
    if (Py_EnterRecursiveCall(" in cyfunction annotate")) {
        return NULL;
    }
    result = __Pyx_CyFunction_get_annotations(self, NULL);
    Py_LeaveRecursiveCall();
    return result;
}
static PyObject *
__Pyx_CyFunction_get_annotate(PyObject *op_in, void *context);
static int
__Pyx_CyFunction_set_annotate(PyObject *op_in, PyObject* value, void *context) {
    CYTHON_UNUSED_VAR(context);
    if (value == NULL) {
        PyErr_SetString(PyExc_TypeError, "__annotate__ cannot be deleted");
        return -1;
    }
    if (unlikely(value != Py_None && !PyCallable_Check(value))) {
        PyErr_SetString(PyExc_TypeError, "__annotate__ must be callable or None");
        return -1;
    }
    if (unlikely(__Pyx_TypeCheck(value, &PyCFunction_Type))) {
#if !CYTHON_ASSUME_SAFE_MACROS && !CYTHON_COMPILING_IN_PYPY
        PyCFunction cfunction = PyCFunction_GetFunction(value);
        if (unlikely(!cfunction)) return -1;
        PyObject *value_self = PyCFunction_GetSelf(value);
        if (unlikely(!value_self && PyErr_Occurred())) return -1;
#else
        PyCFunction cfunction = PyCFunction_GET_FUNCTION(value);
        PyObject *value_self = PyCFunction_GET_SELF(value);
#endif
        if (cfunction == __Pyx_CyFunction_annotate_impl && value_self == op_in) {
            return __Pyx_CyFunction_set_annotate_in_dict_if_exists(op_in, NULL);
        }
    }
    if (value != Py_None) {
        __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
        __Pyx_BEGIN_CRITICAL_SECTION(op_in);
        Py_CLEAR(op->func_annotations);
        __Pyx_END_CRITICAL_SECTION();
    }
    return __Pyx_CyFunction_set_annotate_in_dict(op_in, value);
}
#if __PYX_LIMITED_VERSION_HEX < 0x030B0000
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(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_or_error;
        }
        is_coroutine_value = __Pyx_PyObject_GetAttrStr(module, marker);
        Py_DECREF(module);
        if (likely(is_coroutine_value)) {
            return is_coroutine_value;
        }
ignore_or_error:
        if (!__Pyx_IgnoreException(PyExc_Exception)) {
            return NULL;
        }
    }
    return __Pyx_PyBool_FromLong(is_coroutine);
}
static PyObject *
__Pyx_CyFunction_get_is_coroutine(PyObject *op_in, void *context) {
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    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_in);
    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;
}
#endif
static void __Pyx_CyFunction_raise_argument_count_error(PyObject *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(PyObject *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(PyObject *op_in, void *context) {
    CYTHON_UNUSED_VAR(context);
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    Py_INCREF(op->func_module);
    return op->func_module;
}
static int
__Pyx_CyFunction_set_module(PyObject *op_in, PyObject* value, void *context) {
    CYTHON_UNUSED_VAR(context);
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    if (value == NULL) {
        value = Py_None;
    }
    Py_INCREF(value);
    PyObject *old = op->func_module;
    op->func_module = value;
    Py_DECREF(old);
    return 0;
}
#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},
    {"__annotate__", (getter)__Pyx_CyFunction_get_annotate, (setter)__Pyx_CyFunction_set_annotate, 0, 0},
#if __PYX_LIMITED_VERSION_HEX < 0x030B0000
    {"_is_coroutine", (getter)__Pyx_CyFunction_get_is_coroutine, 0, 0, 0},
#endif
#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),
        __PYX_SHARED_RELATIVE_OFFSET | READONLY, 0},
#endif
#if CYTHON_VECTORCALL
#if CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_PYPY
    {"__vectorcalloffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_vectorcall),
        __PYX_SHARED_RELATIVE_OFFSET | 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),
        __PYX_SHARED_RELATIVE_OFFSET | READONLY, 0},
#else
    {"__weaklistoffset__", T_PYSSIZET, offsetof(PyCFunctionObject, m_weakreflist), READONLY, 0},
#endif
#endif
    {0, 0, 0,  0, 0}
};
static PyObject *
__Pyx_CyFunction_reduce(PyObject *m_in, PyObject *args)
{
    PyObject *result = NULL;
    __pyx_CyFunctionObject *m = __Pyx_as_CyFunctionObject(m_in);
    CYTHON_UNUSED_VAR(args);
    __Pyx_BEGIN_CRITICAL_SECTION(m_in);
    Py_INCREF(m->func_qualname);
    result = m->func_qualname;
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static PyMethodDef __pyx_CyFunction_methods[] = {
    {"__annotate_cython__", __Pyx_CyFunction_annotate_impl, METH_O,
        "Placeholder __annotate__ function to allow 'functools.wraps' to work "
        "on Cython functions."},
    {"__reduce__", (PyCFunction)__Pyx_CyFunction_reduce, METH_NOARGS, 0},
    {0, 0, 0, 0}
};
static PyObject *
__Pyx_CyFunction_get_annotate(PyObject *op_in, void *context) {
    PyObject *annotate = NULL;
    CYTHON_UNUSED_VAR(context);
    if (unlikely(__Pyx_CyFunction_get_annotate_from_dict_if_exists(op_in, &annotate) < 0)) return NULL;
    if (annotate) return annotate;
    PyObject *method = PyCFunction_New(
        &__pyx_CyFunction_methods[0],
        op_in);
    return method;
}
#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(PyObject *op_in,
                                       PyMethodDef *ml, int flags, PyObject* qualname,
                                       PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {
    __pyx_CyFunctionObject* op = __Pyx_as_CyFunctionObject(op_in);
#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_methoddef = ml;
    Py_INCREF(module);
    op->func_module = module;
#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 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;
#if __PYX_LIMITED_VERSION_HEX < 0x030B0000
    op->func_is_coroutine = NULL;
#endif
#if CYTHON_VECTORCALL
    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_in);
        return NULL;
    }
#endif
    return op_in;
}
static int __Pyx__CyFunction_clear(__pyx_CyFunctionObject *m)
{
    Py_CLEAR(m->func_closure);
#if CYTHON_COMPILING_IN_LIMITED_API
    Py_CLEAR(m->func_module);
#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
    Py_CLEAR(m->func_classobj);
#else
    {
        PyObject *cls = (PyObject*) ((PyCMethodObject *) (m))->mm_class;
        ((PyCMethodObject *) (m))->mm_class = NULL;
        Py_XDECREF(cls);
    }
#endif
    Py_CLEAR(m->defaults_tuple);
    Py_CLEAR(m->defaults_kwdict);
    Py_CLEAR(m->func_annotations);
#if __PYX_LIMITED_VERSION_HEX < 0x030B0000
    Py_CLEAR(m->func_is_coroutine);
#endif
    Py_CLEAR(m->defaults);
    return 0;
}
static int
__Pyx_CyFunction_clear(PyObject *m)
{
    return __Pyx__CyFunction_clear(__Pyx_as_CyFunctionObject(m));
}
static void __Pyx__CyFunction_dealloc(PyObject *m)
{
    __pyx_CyFunctionObject *cyfunc = __Pyx_as_CyFunctionObject(m);
    if (__Pyx_CyFunction_weakreflist(cyfunc) != NULL)
        PyObject_ClearWeakRefs(m);
    __Pyx__CyFunction_clear(cyfunc);
    __Pyx_PyHeapTypeObject_GC_Del(m);
}
static void __Pyx_CyFunction_dealloc(PyObject *m)
{
    PyObject_GC_UnTrack(m);
    __Pyx__CyFunction_dealloc(m);
}
static int __Pyx_CyFunction_traverse(PyObject *m_in, visitproc visit, void *arg)
{
    __pyx_CyFunctionObject *m = __Pyx_as_CyFunctionObject(m_in);
    {
        int e = __Pyx_call_type_traverse(m_in, 1, visit, arg);
        if (e) return e;
    }
    Py_VISIT(m->func_closure);
#if CYTHON_COMPILING_IN_LIMITED_API
    Py_VISIT(m->func_module);
#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);
    Py_VISIT(__Pyx__CyFunction_GetClassObj(m));
    Py_VISIT(m->defaults_tuple);
    Py_VISIT(m->defaults_kwdict);
    Py_VISIT(m->func_annotations);
#if __PYX_LIMITED_VERSION_HEX < 0x030B0000
    Py_VISIT(m->func_is_coroutine);
#endif
    Py_VISIT(m->defaults);
    return 0;
}
static PyObject*
__Pyx_CyFunction_repr(PyObject *op_in)
{
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    PyObject *repr;
    __Pyx_BEGIN_CRITICAL_SECTION(op_in);
    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
    __pyx_CyFunctionObject *cyfunc = __Pyx_as_CyFunctionObject(func);
    PyCFunction meth = cyfunc->func_methoddef->ml_meth;
    int flags = cyfunc->func_methoddef->ml_flags;
#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(
                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(
                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(
        func, "takes no keyword arguments");
    return NULL;
}
static CYTHON_INLINE PyObject *__Pyx_CyFunction_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    PyObject *result;
    result = __Pyx_CyFunction_CallMethod(func, func, arg, kw);
    return result;
}
static PyObject *__Pyx_CyFunction_CallAsMethod(PyObject *func, PyObject *args, PyObject *kw) {
    PyObject *result;
    __pyx_CyFunctionObject *cyfunc = __Pyx_as_CyFunctionObject(func);
#if 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_VECTORCALL
static CYTHON_INLINE int __Pyx_CyFunction_Vectorcall_CheckArgs(PyObject *func, __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(
                func, "needs an argument");
            return -1;
        }
        ret = 1;
    }
    if (unlikely(kwnames) && unlikely(__Pyx_PyTuple_GET_SIZE(kwnames))) {
        __Pyx_CyFunction_raise_type_error(
            func, "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_as_CyFunctionObject(func);
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
    PyObject *self;
#if CYTHON_COMPILING_IN_LIMITED_API
    PyCFunction meth = cyfunc->func_methoddef->ml_meth;
    if (unlikely(!meth)) return NULL;
#else
    PyCFunction meth = ((PyCFunctionObject*)cyfunc)->m_ml->ml_meth;
#endif
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(func, cyfunc, nargs, kwnames)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
        self = func;
        break;
    default:
        return NULL;
    }
    if (unlikely(nargs != 0)) {
        __Pyx_CyFunction_raise_argument_count_error(
            func, "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_as_CyFunctionObject(func);
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
    PyObject *self;
#if CYTHON_COMPILING_IN_LIMITED_API
    PyCFunction meth = cyfunc->func_methoddef->ml_meth;
    if (unlikely(!meth)) return NULL;
#else
    PyCFunction meth = ((PyCFunctionObject*)cyfunc)->m_ml->ml_meth;
#endif
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(func, cyfunc, nargs, kwnames)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
        self = func;
        break;
    default:
        return NULL;
    }
    if (unlikely(nargs != 1)) {
        __Pyx_CyFunction_raise_argument_count_error(
            func, "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_as_CyFunctionObject(func);
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
    PyObject *self;
#if CYTHON_COMPILING_IN_LIMITED_API
    PyCFunction meth = cyfunc->func_methoddef->ml_meth;
    if (unlikely(!meth)) return NULL;
#else
    PyCFunction meth = ((PyCFunctionObject*)cyfunc)->m_ml->ml_meth;
#endif
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(func, cyfunc, nargs, NULL)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
        self = func;
        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_as_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 = cyfunc->func_methoddef->ml_meth;
    if (unlikely(!meth)) return NULL;
#else
    PyCFunction meth = ((PyCFunctionObject*)cyfunc)->m_ml->ml_meth;
#endif
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(func, cyfunc, nargs, NULL)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
        self = func;
        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",
    __PYX_SHARED_SIZEOF(__pyx_CyFunctionObject),
    0,
#ifdef Py_TPFLAGS_METHOD_DESCRIPTOR
    Py_TPFLAGS_METHOD_DESCRIPTOR |
#endif
#if CYTHON_VECTORCALL
#if defined(Py_TPFLAGS_HAVE_VECTORCALL)
    Py_TPFLAGS_HAVE_VECTORCALL |
#elif defined(_Py_TPFLAGS_HAVE_VECTORCALL)
    _Py_TPFLAGS_HAVE_VECTORCALL |
#endif
#endif // CYTHON_VECTORCALL
#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;
}
 
/* CythonFunction */
static PyObject *__Pyx_CyFunction_New(PyMethodDef *ml, int flags, PyObject* qualname,
                                      PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {
    (void)&__Pyx_Get_CyFunction_Type;
    PyObject *op = __Pyx_CyFunction_Init(
        PyObject_GC_New(PyObject, __pyx_mstate_global->__pyx_CyFunctionType),
        ml, flags, qualname, closure, module, globals, code
    );
    if (likely(op)) {
        PyObject_GC_Track(op);
    }
    return op;
}
static PyTypeObject *__Pyx_Get_CyFunction_Type(void) {
    PyTypeObject *tp = __pyx_mstate_global->__pyx_CyFunctionType;
    Py_INCREF((PyObject*)tp);
    return tp;
}
 
/* PyDictVersioning (used by CLineInTraceback) */
#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
 
/* 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;
    }
    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);
    }
    __Pyx_PyErr_FetchException(&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:
    __Pyx_PyErr_RestoreException(exc_type, exc_value, exc_traceback);
    Py_XDECREF(code_object);
    Py_XDECREF(py_py_line);
    Py_XDECREF(py_funcname);
    Py_XDECREF(dict);
    Py_XDECREF(replace);
    if (success) {
        PyTraceBack_Here(
            (struct _frame*)frame);
    }
    Py_XDECREF(frame);
}
#else
static PyCodeObject* __Pyx_CreateCodeObjectForTraceback(
            const char *funcname, int c_line,
            int py_line, const char *filename) {
    PyCodeObject *py_code = NULL;
    PyObject *py_funcname = NULL;
    if (c_line) {
        py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        if (!py_funcname) goto bad;
        funcname = PyUnicode_AsUTF8(py_funcname);
        if (!funcname) goto bad;
    }
    py_code = PyCode_NewEmpty(filename, funcname, py_line);
    Py_XDECREF(py_funcname);
    return py_code;
bad:
    Py_XDECREF(py_funcname);
    return NULL;
}
static void __Pyx_AddTraceback(const char *funcname, int c_line,
                               int py_line, const char *filename) {
    PyCodeObject *py_code = 0;
    PyFrameObject *py_frame = 0;
    PyThreadState *tstate = __Pyx_PyThreadState_Current;
    PyObject *ptype, *pvalue, *ptraceback;
    if (c_line) {
        c_line = __Pyx_CLineForTraceback(tstate, c_line);
    }
    py_code = __pyx_find_code_object(c_line ? -c_line : py_line);
    if (!py_code) {
        __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);
        py_code = __Pyx_CreateCodeObjectForTraceback(
            funcname, c_line, py_line, filename);
        if (!py_code) {
            /* If the code object creation fails, then we should clear the
               fetched exception references and propagate the new exception */
            Py_XDECREF(ptype);
            Py_XDECREF(pvalue);
            Py_XDECREF(ptraceback);
            goto bad;
        }
        __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback);
        __pyx_insert_code_object(c_line ? -c_line : py_line, py_code);
    }
    py_frame = PyFrame_New(
        tstate,            /*PyThreadState *tstate,*/
        py_code,           /*PyCodeObject *code,*/
        __pyx_mstate_global->__pyx_d,    /*PyObject *globals,*/
        0                  /*PyObject *locals*/
    );
    if (!py_frame) goto bad;
    __Pyx_PyFrame_SetLineNumber(py_frame, py_line);
    PyTraceBack_Here(py_frame);
bad:
    Py_XDECREF(py_code);
    Py_XDECREF(py_frame);
}
#endif
 
/* CIntFromPyVerify */
#define __PYX_VERIFY_RETURN_INT(target_type, func_type, func_value)\
    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 0)
#define __PYX_VERIFY_RETURN_INT_EXC(target_type, func_type, func_value)\
    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 1)
#define __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, exc)\
    {\
        func_type value = func_value;\
        if (sizeof(target_type) < sizeof(func_type)) {\
            if (unlikely(value != (func_type) (target_type) value)) {\
                func_type zero = 0;\
                if (exc && unlikely(value == (func_type)-1 && PyErr_Occurred()))\
                    return (target_type) -1;\
                if (is_unsigned && unlikely(value < zero))\
                    goto raise_neg_overflow;\
                else\
                    goto raise_overflow;\
            }\
        }\
        return (target_type) value;\
    }
 
/* Declarations */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
  #ifdef __cplusplus
    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
      return ::std::complex< float >(x, y);
    }
  #else
    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
      return x + y*(__pyx_t_float_complex)_Complex_I;
    }
  #endif
#else
    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
      __pyx_t_float_complex z;
      z.real = x;
      z.imag = y;
      return z;
    }
#endif
 
/* Arithmetic */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
#else
    static CYTHON_INLINE int __Pyx_c_eq_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
       return (a.real == b.real) && (a.imag == b.imag);
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sum_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real + b.real;
        z.imag = a.imag + b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_diff_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real - b.real;
        z.imag = a.imag - b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prod_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real * b.real - a.imag * b.imag;
        z.imag = a.real * b.imag + a.imag * b.real;
        return z;
    }
    #if 1
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        if (b.imag == 0) {
            return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else if (fabsf(b.real) >= fabsf(b.imag)) {
            if (b.real == 0 && b.imag == 0) {
                return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.imag);
            } else {
                float r = b.imag / b.real;
                float s = (float)(1.0) / (b.real + b.imag * r);
                return __pyx_t_float_complex_from_parts(
                    (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);
            }
        } else {
            float r = b.real / b.imag;
            float s = (float)(1.0) / (b.imag + b.real * r);
            return __pyx_t_float_complex_from_parts(
                (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);
        }
    }
    #else
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        if (b.imag == 0) {
            return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else {
            float denom = b.real * b.real + b.imag * b.imag;
            return __pyx_t_float_complex_from_parts(
                (a.real * b.real + a.imag * b.imag) / denom,
                (a.imag * b.real - a.real * b.imag) / denom);
        }
    }
    #endif
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_neg_float(__pyx_t_float_complex a) {
        __pyx_t_float_complex z;
        z.real = -a.real;
        z.imag = -a.imag;
        return z;
    }
    static CYTHON_INLINE int __Pyx_c_is_zero_float(__pyx_t_float_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conj_float(__pyx_t_float_complex a) {
        __pyx_t_float_complex z;
        z.real =  a.real;
        z.imag = -a.imag;
        return z;
    }
    #if 1
        static CYTHON_INLINE float __Pyx_c_abs_float(__pyx_t_float_complex z) {
          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
            return sqrtf(z.real*z.real + z.imag*z.imag);
          #else
            return hypotf(z.real, z.imag);
          #endif
        }
        static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_pow_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
            __pyx_t_float_complex z;
            float r, lnr, theta, z_r, z_theta;
            if (b.imag == 0 && b.real == (int)b.real) {
                if (b.real < 0) {
                    float denom = a.real * a.real + a.imag * a.imag;
                    a.real = a.real / denom;
                    a.imag = -a.imag / denom;
                    b.real = -b.real;
                }
                switch ((int)b.real) {
                    case 0:
                        z.real = 1;
                        z.imag = 0;
                        return z;
                    case 1:
                        return a;
                    case 2:
                        return __Pyx_c_prod_float(a, a);
                    case 3:
                        z = __Pyx_c_prod_float(a, a);
                        return __Pyx_c_prod_float(z, a);
                    case 4:
                        z = __Pyx_c_prod_float(a, a);
                        return __Pyx_c_prod_float(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                } else if ((b.imag == 0) && (a.real >= 0)) {
                    z.real = powf(a.real, b.real);
                    z.imag = 0;
                    return z;
                } else if (a.real > 0) {
                    r = a.real;
                    theta = 0;
                } else {
                    r = -a.real;
                    theta = atan2f(0.0, -1.0);
                }
            } else {
                r = __Pyx_c_abs_float(a);
                theta = atan2f(a.imag, a.real);
            }
            lnr = logf(r);
            z_r = expf(lnr * b.real - theta * b.imag);
            z_theta = theta * b.real + lnr * b.imag;
            z.real = z_r * cosf(z_theta);
            z.imag = z_r * sinf(z_theta);
            return z;
        }
    #endif
#endif
 
/* Declarations */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
  #ifdef __cplusplus
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      return ::std::complex< double >(x, y);
    }
  #else
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      return x + y*(__pyx_t_double_complex)_Complex_I;
    }
  #endif
#else
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      __pyx_t_double_complex z;
      z.real = x;
      z.imag = y;
      return z;
    }
#endif
 
/* Arithmetic */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
#else
    static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
       return (a.real == b.real) && (a.imag == b.imag);
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real + b.real;
        z.imag = a.imag + b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real - b.real;
        z.imag = a.imag - b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real * b.real - a.imag * b.imag;
        z.imag = a.real * b.imag + a.imag * b.real;
        return z;
    }
    #if 1
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        if (b.imag == 0) {
            return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else if (fabs(b.real) >= fabs(b.imag)) {
            if (b.real == 0 && b.imag == 0) {
                return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.imag);
            } else {
                double r = b.imag / b.real;
                double s = (double)(1.0) / (b.real + b.imag * r);
                return __pyx_t_double_complex_from_parts(
                    (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);
            }
        } else {
            double r = b.real / b.imag;
            double s = (double)(1.0) / (b.imag + b.real * r);
            return __pyx_t_double_complex_from_parts(
                (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);
        }
    }
    #else
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        if (b.imag == 0) {
            return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else {
            double denom = b.real * b.real + b.imag * b.imag;
            return __pyx_t_double_complex_from_parts(
                (a.real * b.real + a.imag * b.imag) / denom,
                (a.imag * b.real - a.real * b.imag) / denom);
        }
    }
    #endif
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex a) {
        __pyx_t_double_complex z;
        z.real = -a.real;
        z.imag = -a.imag;
        return z;
    }
    static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex a) {
        __pyx_t_double_complex z;
        z.real =  a.real;
        z.imag = -a.imag;
        return z;
    }
    #if 1
        static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex z) {
          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
            return sqrt(z.real*z.real + z.imag*z.imag);
          #else
            return hypot(z.real, z.imag);
          #endif
        }
        static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
            __pyx_t_double_complex z;
            double r, lnr, theta, z_r, z_theta;
            if (b.imag == 0 && b.real == (int)b.real) {
                if (b.real < 0) {
                    double denom = a.real * a.real + a.imag * a.imag;
                    a.real = a.real / denom;
                    a.imag = -a.imag / denom;
                    b.real = -b.real;
                }
                switch ((int)b.real) {
                    case 0:
                        z.real = 1;
                        z.imag = 0;
                        return z;
                    case 1:
                        return a;
                    case 2:
                        return __Pyx_c_prod_double(a, a);
                    case 3:
                        z = __Pyx_c_prod_double(a, a);
                        return __Pyx_c_prod_double(z, a);
                    case 4:
                        z = __Pyx_c_prod_double(a, a);
                        return __Pyx_c_prod_double(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                } else if ((b.imag == 0) && (a.real >= 0)) {
                    z.real = pow(a.real, b.real);
                    z.imag = 0;
                    return z;
                } else if (a.real > 0) {
                    r = a.real;
                    theta = 0;
                } else {
                    r = -a.real;
                    theta = atan2(0.0, -1.0);
                }
            } else {
                r = __Pyx_c_abs_double(a);
                theta = atan2(a.imag, a.real);
            }
            lnr = log(r);
            z_r = exp(lnr * b.real - theta * b.imag);
            z_theta = theta * b.real + lnr * b.imag;
            z.real = z_r * cos(z_theta);
            z.imag = z_r * sin(z_theta);
            return z;
        }
    #endif
#endif
 
/* Declarations */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
  #ifdef __cplusplus
    static CYTHON_INLINE __pyx_t_long_double_complex __pyx_t_long_double_complex_from_parts(long double x, long double y) {
      return ::std::complex< long double >(x, y);
    }
  #else
    static CYTHON_INLINE __pyx_t_long_double_complex __pyx_t_long_double_complex_from_parts(long double x, long double y) {
      return x + y*(__pyx_t_long_double_complex)_Complex_I;
    }
  #endif
#else
    static CYTHON_INLINE __pyx_t_long_double_complex __pyx_t_long_double_complex_from_parts(long double x, long double y) {
      __pyx_t_long_double_complex z;
      z.real = x;
      z.imag = y;
      return z;
    }
#endif
 
/* Arithmetic */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
#else
    static CYTHON_INLINE int __Pyx_c_eq_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) {
       return (a.real == b.real) && (a.imag == b.imag);
    }
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_sum_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) {
        __pyx_t_long_double_complex z;
        z.real = a.real + b.real;
        z.imag = a.imag + b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_diff_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) {
        __pyx_t_long_double_complex z;
        z.real = a.real - b.real;
        z.imag = a.imag - b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_prod_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) {
        __pyx_t_long_double_complex z;
        z.real = a.real * b.real - a.imag * b.imag;
        z.imag = a.real * b.imag + a.imag * b.real;
        return z;
    }
    #if 1
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_quot_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) {
        if (b.imag == 0) {
            return __pyx_t_long_double_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else if (fabsl(b.real) >= fabsl(b.imag)) {
            if (b.real == 0 && b.imag == 0) {
                return __pyx_t_long_double_complex_from_parts(a.real / b.real, a.imag / b.imag);
            } else {
                long double r = b.imag / b.real;
                long double s = (long double)(1.0) / (b.real + b.imag * r);
                return __pyx_t_long_double_complex_from_parts(
                    (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);
            }
        } else {
            long double r = b.real / b.imag;
            long double s = (long double)(1.0) / (b.imag + b.real * r);
            return __pyx_t_long_double_complex_from_parts(
                (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);
        }
    }
    #else
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_quot_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) {
        if (b.imag == 0) {
            return __pyx_t_long_double_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else {
            long double denom = b.real * b.real + b.imag * b.imag;
            return __pyx_t_long_double_complex_from_parts(
                (a.real * b.real + a.imag * b.imag) / denom,
                (a.imag * b.real - a.real * b.imag) / denom);
        }
    }
    #endif
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_neg_long__double(__pyx_t_long_double_complex a) {
        __pyx_t_long_double_complex z;
        z.real = -a.real;
        z.imag = -a.imag;
        return z;
    }
    static CYTHON_INLINE int __Pyx_c_is_zero_long__double(__pyx_t_long_double_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_conj_long__double(__pyx_t_long_double_complex a) {
        __pyx_t_long_double_complex z;
        z.real =  a.real;
        z.imag = -a.imag;
        return z;
    }
    #if 1
        static CYTHON_INLINE long double __Pyx_c_abs_long__double(__pyx_t_long_double_complex z) {
          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
            return sqrtl(z.real*z.real + z.imag*z.imag);
          #else
            return hypotl(z.real, z.imag);
          #endif
        }
        static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_pow_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) {
            __pyx_t_long_double_complex z;
            long double r, lnr, theta, z_r, z_theta;
            if (b.imag == 0 && b.real == (int)b.real) {
                if (b.real < 0) {
                    long double denom = a.real * a.real + a.imag * a.imag;
                    a.real = a.real / denom;
                    a.imag = -a.imag / denom;
                    b.real = -b.real;
                }
                switch ((int)b.real) {
                    case 0:
                        z.real = 1;
                        z.imag = 0;
                        return z;
                    case 1:
                        return a;
                    case 2:
                        return __Pyx_c_prod_long__double(a, a);
                    case 3:
                        z = __Pyx_c_prod_long__double(a, a);
                        return __Pyx_c_prod_long__double(z, a);
                    case 4:
                        z = __Pyx_c_prod_long__double(a, a);
                        return __Pyx_c_prod_long__double(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                } else if ((b.imag == 0) && (a.real >= 0)) {
                    z.real = powl(a.real, b.real);
                    z.imag = 0;
                    return z;
                } else if (a.real > 0) {
                    r = a.real;
                    theta = 0;
                } else {
                    r = -a.real;
                    theta = atan2l(0.0, -1.0);
                }
            } else {
                r = __Pyx_c_abs_long__double(a);
                theta = atan2l(a.imag, a.real);
            }
            lnr = logl(r);
            z_r = expl(lnr * b.real - theta * b.imag);
            z_theta = theta * b.real + lnr * b.imag;
            z.real = z_r * cosl(z_theta);
            z.imag = z_r * sinl(z_theta);
            return z;
        }
    #endif
#endif
 
/* CIntFromPy */
static char __Pyx_LargePyLong___Pyx_PyLong_As_char(PyObject *x);
static char __Pyx_raise_neg_overflow___Pyx_PyLong_As_char(void) {
    const char* type_name = "char";
    PyErr_Format(PyExc_OverflowError,
        "can't convert negative value to %.200s", type_name);
    return (char) -1;
}
static char __Pyx_raise_overflow___Pyx_PyLong_As_char(void) {
    const char* type_name = "char";
    PyErr_Format(PyExc_OverflowError,
        "value too large to convert to %.200s", type_name);
    return (char) -1;
}
static CYTHON_INLINE char __Pyx_PyULong___Pyx_PyLong_As_char(PyObject *x) {
    const int is_unsigned = 1;
#if CYTHON_USE_PYLONG_INTERNALS
    {
        const digit* digits = __Pyx_PyLong_Digits(x);
        const Py_ssize_t size = __Pyx_PyLong_DigitCount(x);
        if (size == 2 && (8 * sizeof(char) > 1 * PyLong_SHIFT)) {
            if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
            } else if ((8 * sizeof(char) >= 2 * PyLong_SHIFT)) {
                return (char) (((((char)digits[1]) << PyLong_SHIFT) | (char)digits[0]));
            }
        } else
        if (size == 3 && (8 * sizeof(char) > 2 * PyLong_SHIFT)) {
            if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
            } else if ((8 * sizeof(char) >= 3 * PyLong_SHIFT)) {
                return (char) (((((((char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0]));
            }
        } else
        if (size == 4 && (8 * sizeof(char) > 3 * PyLong_SHIFT)) {
            if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                __PYX_VERIFY_RETURN_INT(char, 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(char) >= 4 * PyLong_SHIFT)) {
                return (char) (((((((((char)digits[3]) << PyLong_SHIFT) | (char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0]));
            }
        } else
        {}
    }
#elif 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 (char) -1;
        if (unlikely(result == 1))
            goto raise_neg_overflow;
    }
#endif
    if ((sizeof(char) <= sizeof(unsigned long))) {
        __PYX_VERIFY_RETURN_INT_EXC(char, unsigned long, PyLong_AsUnsignedLong(x))
    } else if ((sizeof(char) <= sizeof(unsigned PY_LONG_LONG))) {
        __PYX_VERIFY_RETURN_INT_EXC(char, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
    }
    return __Pyx_LargePyLong___Pyx_PyLong_As_char(x);
raise_neg_overflow:
    return __Pyx_raise_neg_overflow___Pyx_PyLong_As_char();
raise_overflow:
    return __Pyx_raise_overflow___Pyx_PyLong_As_char();
}
static CYTHON_INLINE char __Pyx_PySLong___Pyx_PyLong_As_char(PyObject *x) {
    const int is_unsigned = 0;
#if CYTHON_USE_PYLONG_INTERNALS
    if (__Pyx_PyLong_IsNeg(x)) {
        const Py_ssize_t size = __Pyx_PyLong_DigitCount(x);
        const digit* digits = __Pyx_PyLong_Digits(x);
        if (size == 2 && (8 * sizeof(char) > 1 * PyLong_SHIFT)) {
            if ((8 * sizeof(long) > 2 * PyLong_SHIFT)) {
                long ival = - (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                __PYX_VERIFY_RETURN_INT(char, long, ival)
            } else if ((8 * sizeof(char) - 1 > 2 * PyLong_SHIFT)) {
                return (char) (((char) -1) * (((((char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
            }
        } else
        if (size == 3 && (8 * sizeof(char) > 2 * PyLong_SHIFT)) {
            if ((8 * sizeof(long) > 3 * PyLong_SHIFT)) {
                long ival = - (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                __PYX_VERIFY_RETURN_INT(char, long, ival)
            } else if ((8 * sizeof(char) - 1 > 3 * PyLong_SHIFT)) {
                return (char) (((char) -1) * (((((((char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
            }
        } else
        if (size == 4 && (8 * sizeof(char) > 3 * PyLong_SHIFT)) {
            if ((8 * sizeof(long) > 4 * PyLong_SHIFT)) {
                long ival = - (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                __PYX_VERIFY_RETURN_INT(char, long, ival)
            } else if ((8 * sizeof(char) - 1 > 4 * PyLong_SHIFT)) {
                return (char) (((char) -1) * (((((((((char)digits[3]) << PyLong_SHIFT) | (char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
            }
        } else
        {}
    } else {
        const Py_ssize_t size = __Pyx_PyLong_DigitCount(x);
        const digit* digits = __Pyx_PyLong_Digits(x);
        if (size == 2 && (8 * sizeof(char) > 1 * PyLong_SHIFT)) {
            if ((8 * sizeof(long) > 2 * PyLong_SHIFT)) {
                __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
            } else if ((8 * sizeof(char) - 1 > 2 * PyLong_SHIFT)) {
                return (char) (((((char)digits[1]) << PyLong_SHIFT) | (char)digits[0]));
            }
        } else
        if (size == 3 && (8 * sizeof(char) > 2 * PyLong_SHIFT)) {
            if ((8 * sizeof(long) > 3 * PyLong_SHIFT)) {
                __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
            } else if ((8 * sizeof(char) - 1 > 3 * PyLong_SHIFT)) {
                return (char) (((((((char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0]));
            }
        } else
        if (size == 4 && (8 * sizeof(char) > 3 * PyLong_SHIFT)) {
            if ((8 * sizeof(long) > 4 * PyLong_SHIFT)) {
                __PYX_VERIFY_RETURN_INT(char, 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(char) - 1 > 4 * PyLong_SHIFT)) {
                return (char) (((((((((char)digits[3]) << PyLong_SHIFT) | (char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0]));
            }
        } else
        {}
    }
#endif
    #if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
    if ((sizeof(char) <= sizeof(int)) && (sizeof(int) < sizeof(long))) {
        __PYX_VERIFY_RETURN_INT_EXC(char, int, PyLong_AsInt(x))
    } else
    #endif
    if ((sizeof(char) <= sizeof(long))) {
        __PYX_VERIFY_RETURN_INT_EXC(char, long, PyLong_AsLong(x))
    } else if ((sizeof(char) <= sizeof(PY_LONG_LONG))) {
        __PYX_VERIFY_RETURN_INT_EXC(char, PY_LONG_LONG, PyLong_AsLongLong(x))
    }
    return __Pyx_LargePyLong___Pyx_PyLong_As_char(x);
raise_neg_overflow:
    return __Pyx_raise_neg_overflow___Pyx_PyLong_As_char();
raise_overflow:
    return __Pyx_raise_overflow___Pyx_PyLong_As_char();
}
static char __Pyx_LargePyLong___Pyx_PyLong_As_char(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const char neg_one = (char) -1, const_zero = (char) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    char 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);
    if ((0)) goto raise_overflow;
#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 (char) -1;
        assert(PyLong_CheckExact(v));
    }
    {
        int result = PyObject_RichCompareBool(v, Py_False, Py_LT);
        if (unlikely(result < 0)) {
            Py_DECREF(v);
            return (char) -1;
        }
        is_negative = result == 1;
    }
    if (is_unsigned && unlikely(is_negative)) {
        Py_DECREF(v);
        PyErr_SetString(PyExc_OverflowError,
            "can't convert negative value to char");
        return (char) -1;
    } else if (is_negative) {
        stepval = PyNumber_Invert(v);
        Py_DECREF(v);
        if (unlikely(!stepval))
            return (char) -1;
    } else {
        stepval = v;
    }
    v = NULL;
    val = (char) 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(char) * 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 |= ((char) 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(char) * 8) - bits - (is_unsigned ? 0 : 1);
        if (unlikely(idigit >= (1L << remaining_bits)))
            goto raise_overflow;
        val |= ((char) idigit) << bits;
    }
    if (!is_unsigned) {
        if (unlikely(val & (((char) 1) << (sizeof(char) * 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 (char) -1;
    return val;
raise_overflow:
    return __Pyx_raise_overflow___Pyx_PyLong_As_char();
}
static CYTHON_INLINE char __Pyx_PyLong___Pyx_PyLong_As_char(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const char neg_one = (char) -1, const_zero = (char) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    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(char, __Pyx_compact_upylong, __Pyx_PyLong_CompactValueUnsigned(x))
        } else
        #endif
        {
            return __Pyx_PyULong___Pyx_PyLong_As_char(x);
        }
    } else {
        #if CYTHON_USE_PYLONG_INTERNALS
        if (__Pyx_PyLong_IsCompact(x)) {
            __PYX_VERIFY_RETURN_INT(char, __Pyx_compact_pylong, __Pyx_PyLong_CompactValue(x))
        } else
        #endif
        {
            return __Pyx_PySLong___Pyx_PyLong_As_char(x);
        }
    }
#if CYTHON_USE_PYLONG_INTERNALS
raise_neg_overflow:
    return __Pyx_raise_neg_overflow___Pyx_PyLong_As_char();
raise_overflow:
    return __Pyx_raise_overflow___Pyx_PyLong_As_char();
#endif
}
static char __Pyx_NonPyLong___Pyx_PyLong_As_char(PyObject *x) {
    char val;
    PyObject *tmp = __Pyx_PyNumber_Long(x);
    if (!tmp) return (char) -1;
    val = __Pyx_PyLong_As_char(tmp);
    Py_DECREF(tmp);
    return val;
}
static CYTHON_INLINE char __Pyx_PyLong_As_char(PyObject *x) {
    if (likely(PyLong_Check(x))) {
        return __Pyx_PyLong___Pyx_PyLong_As_char(x);
    } else {
        return __Pyx_NonPyLong___Pyx_PyLong_As_char(x);
    }
}
 
/* 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_);
    }
    goto done;
}
#endif
 
/* PyObjectVectorcallKwds (used by PyObjectVectorcallMethodKwds) */
#if CYTHON_VECTORCALL
CYTHON_UNUSED static int __Pyx_CheckVectorcallKwarg(PyObject *kwnames, Py_ssize_t i) {
    PyObject *key = __Pyx_PyTuple_GET_ITEM(kwnames, i);
#if !CYTHON_ASSUME_SAFE_MACROS
    if (unlikely(!key)) return -1;
#endif
    if (unlikely(!PyUnicode_Check(key))) {
        PyErr_SetString(PyExc_TypeError, "keywords must be strings");
        return -1;
    }
    return 0;
}
#else
CYTHON_UNUSED static PyObject *__Pyx_MakeKwargDict(PyObject **keys, PyObject **values, Py_ssize_t n) {
    PyObject *out = PyDict_New();
    if (unlikely(!out)) return NULL;
    for (Py_ssize_t i=0; i<n; ++i) {
        if (unlikely(PyDict_SetItem(out, keys[i], values[i]) < 0)) {
            Py_DECREF(out);
            return NULL;
        }
    }
    return out;
}
CYTHON_UNUSED static int __Pyx_CheckVectorcallKwarg(PyObject **kwnames, Py_ssize_t i) {
    PyObject *key = kwnames[i];
    if (unlikely(!PyUnicode_Check(key))) {
        PyErr_SetString(PyExc_TypeError, "keywords must be strings");
        return -1;
    }
    return 0;
}
#endif
 
/* PyObjectVectorcallMethodKwds (used by CIntToPy) */
#if !CYTHON_VECTORCALL
static PyObject *__Pyx_Object_VectorcallMethodKwds(PyObject *name, PyObject *const *args, size_t nargsf, PyObject *kwnames) {
    PyObject *result;
    PyObject *obj = PyObject_GetAttr(args[0], name);
    if (unlikely(!obj))
        return NULL;
    result = __Pyx_Object_VectorcallKwds(obj, args+1, nargsf-1, kwnames);
    Py_DECREF(obj);
    return result;
}
#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 *result = NULL, *kwds = NULL;
        PyObject *py_bytes = NULL, *order_str = NULL, *from_bytes_str = NULL;;
        py_bytes = PyBytes_FromStringAndSize((char*)bytes, sizeof(long));
        if (!py_bytes) goto limited_bad;
        from_bytes_str = PyUnicode_FromStringAndSize("from_bytes", 10);
        if (!from_bytes_str) goto limited_bad;
        order_str = PyUnicode_FromString(little ? "little" : "big");
        if (!order_str) goto limited_bad;
        {
            PyObject *args[] = { (PyObject*)&PyLong_Type, py_bytes, order_str, Py_True };
            if (!is_unsigned) {
                PyObject *signed_str = PyUnicode_FromStringAndSize("signed", 6);
                if (!signed_str) goto limited_bad;
#if CYTHON_VECTORCALL
                kwds = PyTuple_Pack(1, signed_str);
#else
                {
                    PyObject *keys[] = {signed_str};
                    PyObject *values[] = {Py_True};
                    kwds = __Pyx_MakeKwargDict(keys, values, 1);
                }
#endif
                Py_DECREF(signed_str);
                if (unlikely(!kwds)) goto limited_bad;
            }
            result = __Pyx_Object_VectorcallMethodKwds(from_bytes_str, args, 3 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET, kwds);
        }
        limited_bad:
        Py_XDECREF(kwds);
        Py_XDECREF(order_str);
        Py_XDECREF(py_bytes);
        Py_XDECREF(from_bytes_str);
        return result;
#endif
    }
}
 
/* CIntFromPy */
static long __Pyx_LargePyLong___Pyx_PyLong_As_long(PyObject *x);
static long __Pyx_raise_neg_overflow___Pyx_PyLong_As_long(void) {
    const char* type_name = "long";
    PyErr_Format(PyExc_OverflowError,
        "can't convert negative value to %.200s", type_name);
    return (long) -1;
}
static long __Pyx_raise_overflow___Pyx_PyLong_As_long(void) {
    const char* type_name = "long";
    PyErr_Format(PyExc_OverflowError,
        "value too large to convert to %.200s", type_name);
    return (long) -1;
}
static CYTHON_INLINE long __Pyx_PyULong___Pyx_PyLong_As_long(PyObject *x) {
    const int is_unsigned = 1;
#if CYTHON_USE_PYLONG_INTERNALS
    {
        const digit* digits = __Pyx_PyLong_Digits(x);
        const Py_ssize_t size = __Pyx_PyLong_DigitCount(x);
        if (size == 2 && (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]));
            }
        } else
        if (size == 3 && (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]));
            }
        } else
        if (size == 4 && (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]));
            }
        } else
        {}
    }
#elif 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))
    }
    return __Pyx_LargePyLong___Pyx_PyLong_As_long(x);
raise_neg_overflow:
    return __Pyx_raise_neg_overflow___Pyx_PyLong_As_long();
raise_overflow:
    return __Pyx_raise_overflow___Pyx_PyLong_As_long();
}
static CYTHON_INLINE long __Pyx_PySLong___Pyx_PyLong_As_long(PyObject *x) {
    const int is_unsigned = 0;
#if CYTHON_USE_PYLONG_INTERNALS
    if (__Pyx_PyLong_IsNeg(x)) {
        const Py_ssize_t size = __Pyx_PyLong_DigitCount(x);
        const digit* digits = __Pyx_PyLong_Digits(x);
        if (size == 2 && (8 * sizeof(long) > 1 * PyLong_SHIFT)) {
            if ((8 * sizeof(long) > 2 * PyLong_SHIFT)) {
                long ival = - (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                __PYX_VERIFY_RETURN_INT(long, long, ival)
            } else if ((8 * sizeof(long) - 1 > 2 * PyLong_SHIFT)) {
                return (long) (((long) -1) * (((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
            }
        } else
        if (size == 3 && (8 * sizeof(long) > 2 * PyLong_SHIFT)) {
            if ((8 * sizeof(long) > 3 * PyLong_SHIFT)) {
                long ival = - (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                __PYX_VERIFY_RETURN_INT(long, long, ival)
            } 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])));
            }
        } else
        if (size == 4 && (8 * sizeof(long) > 3 * PyLong_SHIFT)) {
            if ((8 * sizeof(long) > 4 * PyLong_SHIFT)) {
                long ival = - (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                __PYX_VERIFY_RETURN_INT(long, long, ival)
            } 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])));
            }
        } else
        {}
    } else {
        const Py_ssize_t size = __Pyx_PyLong_DigitCount(x);
        const digit* digits = __Pyx_PyLong_Digits(x);
        if (size == 2 && (8 * sizeof(long) > 1 * PyLong_SHIFT)) {
            if ((8 * sizeof(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]));
            }
        } else
        if (size == 3 && (8 * sizeof(long) > 2 * PyLong_SHIFT)) {
            if ((8 * sizeof(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]));
            }
        } else
        if (size == 4 && (8 * sizeof(long) > 3 * PyLong_SHIFT)) {
            if ((8 * sizeof(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]));
            }
        } else
        {}
    }
#endif
    #if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
    if ((sizeof(long) <= sizeof(int)) && (sizeof(int) < sizeof(long))) {
        __PYX_VERIFY_RETURN_INT_EXC(long, int, PyLong_AsInt(x))
    } else
    #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))
    }
    return __Pyx_LargePyLong___Pyx_PyLong_As_long(x);
raise_neg_overflow:
    return __Pyx_raise_neg_overflow___Pyx_PyLong_As_long();
raise_overflow:
    return __Pyx_raise_overflow___Pyx_PyLong_As_long();
}
static long __Pyx_LargePyLong___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;
    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);
    if ((0)) goto raise_overflow;
#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);
        PyErr_SetString(PyExc_OverflowError,
            "can't convert negative value to long");
        return (long) -1;
    } 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:
    return __Pyx_raise_overflow___Pyx_PyLong_As_long();
}
static CYTHON_INLINE long __Pyx_PyLong___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 (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
        #endif
        {
            return __Pyx_PyULong___Pyx_PyLong_As_long(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
        #endif
        {
            return __Pyx_PySLong___Pyx_PyLong_As_long(x);
        }
    }
#if CYTHON_USE_PYLONG_INTERNALS
raise_neg_overflow:
    return __Pyx_raise_neg_overflow___Pyx_PyLong_As_long();
raise_overflow:
    return __Pyx_raise_overflow___Pyx_PyLong_As_long();
#endif
}
static long __Pyx_NonPyLong___Pyx_PyLong_As_long(PyObject *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;
}
static CYTHON_INLINE long __Pyx_PyLong_As_long(PyObject *x) {
    if (likely(PyLong_Check(x))) {
        return __Pyx_PyLong___Pyx_PyLong_As_long(x);
    } else {
        return __Pyx_NonPyLong___Pyx_PyLong_As_long(x);
    }
}
 
/* CIntFromPy */
static int __Pyx_LargePyLong___Pyx_PyLong_As_int(PyObject *x);
static int __Pyx_raise_neg_overflow___Pyx_PyLong_As_int(void) {
    const char* type_name = "int";
    PyErr_Format(PyExc_OverflowError,
        "can't convert negative value to %.200s", type_name);
    return (int) -1;
}
static int __Pyx_raise_overflow___Pyx_PyLong_As_int(void) {
    const char* type_name = "int";
    PyErr_Format(PyExc_OverflowError,
        "value too large to convert to %.200s", type_name);
    return (int) -1;
}
static CYTHON_INLINE int __Pyx_PyULong___Pyx_PyLong_As_int(PyObject *x) {
    const int is_unsigned = 1;
#if CYTHON_USE_PYLONG_INTERNALS
    {
        const digit* digits = __Pyx_PyLong_Digits(x);
        const Py_ssize_t size = __Pyx_PyLong_DigitCount(x);
        if (size == 2 && (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]));
            }
        } else
        if (size == 3 && (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]));
            }
        } else
        if (size == 4 && (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]));
            }
        } else
        {}
    }
#elif 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))
    }
    return __Pyx_LargePyLong___Pyx_PyLong_As_int(x);
raise_neg_overflow:
    return __Pyx_raise_neg_overflow___Pyx_PyLong_As_int();
raise_overflow:
    return __Pyx_raise_overflow___Pyx_PyLong_As_int();
}
static CYTHON_INLINE int __Pyx_PySLong___Pyx_PyLong_As_int(PyObject *x) {
    const int is_unsigned = 0;
#if CYTHON_USE_PYLONG_INTERNALS
    if (__Pyx_PyLong_IsNeg(x)) {
        const Py_ssize_t size = __Pyx_PyLong_DigitCount(x);
        const digit* digits = __Pyx_PyLong_Digits(x);
        if (size == 2 && (8 * sizeof(int) > 1 * PyLong_SHIFT)) {
            if ((8 * sizeof(long) > 2 * PyLong_SHIFT)) {
                long ival = - (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                __PYX_VERIFY_RETURN_INT(int, long, ival)
            } else if ((8 * sizeof(int) - 1 > 2 * PyLong_SHIFT)) {
                return (int) (((int) -1) * (((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
            }
        } else
        if (size == 3 && (8 * sizeof(int) > 2 * PyLong_SHIFT)) {
            if ((8 * sizeof(long) > 3 * PyLong_SHIFT)) {
                long ival = - (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                __PYX_VERIFY_RETURN_INT(int, long, ival)
            } 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])));
            }
        } else
        if (size == 4 && (8 * sizeof(int) > 3 * PyLong_SHIFT)) {
            if ((8 * sizeof(long) > 4 * PyLong_SHIFT)) {
                long ival = - (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                __PYX_VERIFY_RETURN_INT(int, long, ival)
            } 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])));
            }
        } else
        {}
    } else {
        const Py_ssize_t size = __Pyx_PyLong_DigitCount(x);
        const digit* digits = __Pyx_PyLong_Digits(x);
        if (size == 2 && (8 * sizeof(int) > 1 * PyLong_SHIFT)) {
            if ((8 * sizeof(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]));
            }
        } else
        if (size == 3 && (8 * sizeof(int) > 2 * PyLong_SHIFT)) {
            if ((8 * sizeof(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]));
            }
        } else
        if (size == 4 && (8 * sizeof(int) > 3 * PyLong_SHIFT)) {
            if ((8 * sizeof(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]));
            }
        } else
        {}
    }
#endif
    #if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
    if ((sizeof(int) <= sizeof(int)) && (sizeof(int) < sizeof(long))) {
        __PYX_VERIFY_RETURN_INT_EXC(int, int, PyLong_AsInt(x))
    } else
    #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))
    }
    return __Pyx_LargePyLong___Pyx_PyLong_As_int(x);
raise_neg_overflow:
    return __Pyx_raise_neg_overflow___Pyx_PyLong_As_int();
raise_overflow:
    return __Pyx_raise_overflow___Pyx_PyLong_As_int();
}
static int __Pyx_LargePyLong___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;
    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);
    if ((0)) goto raise_overflow;
#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);
        PyErr_SetString(PyExc_OverflowError,
            "can't convert negative value to int");
        return (int) -1;
    } 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:
    return __Pyx_raise_overflow___Pyx_PyLong_As_int();
}
static CYTHON_INLINE int __Pyx_PyLong___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 (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
        #endif
        {
            return __Pyx_PyULong___Pyx_PyLong_As_int(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
        #endif
        {
            return __Pyx_PySLong___Pyx_PyLong_As_int(x);
        }
    }
#if CYTHON_USE_PYLONG_INTERNALS
raise_neg_overflow:
    return __Pyx_raise_neg_overflow___Pyx_PyLong_As_int();
raise_overflow:
    return __Pyx_raise_overflow___Pyx_PyLong_As_int();
#endif
}
static int __Pyx_NonPyLong___Pyx_PyLong_As_int(PyObject *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;
}
static CYTHON_INLINE int __Pyx_PyLong_As_int(PyObject *x) {
    if (likely(PyLong_Check(x))) {
        return __Pyx_PyLong___Pyx_PyLong_As_int(x);
    } else {
        return __Pyx_NonPyLong___Pyx_PyLong_As_int(x);
    }
}
 
/* 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;
        #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 <= 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 (!result) {
            PyObject *exc_type, *exc_value, *exc_tb;
            PyErr_Fetch(&exc_type, &exc_value, &exc_tb);
            if (PyErr_WarnFormat(
                    PyExc_RuntimeWarning, 1,
                    "Code object creation failed in Cython module: %S\nTry recompiling with a more recent version of Cython.",
                    exc_value ? exc_value : exc_type) == 0) {
                result = Py_None;
                Py_INCREF(result);
            }
            Py_DECREF(exc_type);
            Py_XDECREF(exc_value);
            Py_XDECREF(exc_tb);
        }
        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 */
CYTHON_UNUSED
static CYTHON_SMALL_CODE PyObject *__Pyx_DecompressString(const char *s, Py_ssize_t length, int algo) {
#ifdef __Pyx_DecompressString_UNUSED
    CYTHON_UNUSED_VAR(s);
    CYTHON_UNUSED_VAR(length);
    CYTHON_UNUSED_VAR(algo);
    return NULL;
#else
    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;
#endif
}
 
/* DecompressString_LZSS */
#ifndef __Pyx_DecompressString_LZSS_UNUSED
CYTHON_UNUSED
static CYTHON_SMALL_CODE size_t __pyx_lzss_decompress(const uint8_t* src, uint8_t* dst, size_t dst_len) {
    size_t pos = 0, out_pos = 0;
    while (1) {
        uint32_t flags = src[pos++] | 0xFF00;
        while (flags & 0x100) {
            if (flags & 1) {
                dst[out_pos++] = src[pos++];
            } else {
                uint32_t lo = src[pos++], hi = src[pos++];
                uint32_t end_offset_of_last_occurrence, match_length;
                if (!(lo & 0x80)) {
                    end_offset_of_last_occurrence = lo;
                    match_length = hi;
                } else if (!(hi & 0x80)) {
                    end_offset_of_last_occurrence = 0x80 + (((hi << 2) & 0x180) | (lo & 0x7F));
                    match_length = hi & 0x1F;
                } else {
                    end_offset_of_last_occurrence = 0x80 + ((hi & 0x7F) << 7 | (lo & 0x7F));
                    match_length = src[pos++];
                }
                match_length += 3;
                size_t ref_pos = out_pos - end_offset_of_last_occurrence - match_length;
                memcpy(dst + out_pos, dst + ref_pos, match_length);
                out_pos += match_length;
            }
            if (out_pos >= dst_len) return pos;
            flags >>= 1;
        }
    }
}
#endif
static CYTHON_SMALL_CODE PyObject *__Pyx_DecompressString_LZSS(const char *s, size_t compressed_length, size_t uncompressed_length) {
#ifdef __Pyx_DecompressString_LZSS_UNUSED
    CYTHON_UNUSED_VAR(s);
    CYTHON_UNUSED_VAR(compressed_length);
    CYTHON_UNUSED_VAR(uncompressed_length);
    return NULL;
#else
    PyObject *result;
    unsigned char *result_data;
    size_t src_length;
    result = PyBytes_FromStringAndSize(NULL, (Py_ssize_t) uncompressed_length);
    if (unlikely(!result)) return NULL;
    result_data = __Pyx_PyBytes_AsWritableUString(result);
    if (unlikely(!result_data)) goto bad;
    src_length = __pyx_lzss_decompress((const uint8_t*) s, result_data, uncompressed_length);
    if (unlikely(src_length != compressed_length)) goto decompression_failed;
    return result;
decompression_failed:
    PyErr_SetString(PyExc_RuntimeError, "LZSS string data decompression failed");
bad:
    Py_DECREF(result);
    return NULL;
#endif
}
 
#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 CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030d0000
    if (unlikely(!result_type_name)) goto bad;
    #endif
    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);
            goto bad;
        }
        __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);
bad:
    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_PyLong_AsSsize_t(PyObject* b) {
    #if CYTHON_USE_PYLONG_INTERNALS
    Py_ssize_t ival;
    const Py_ssize_t size = __Pyx_PyLong_DigitCount(b);
    const int is_neg = __Pyx_PyLong_IsNeg(b);
    const digit* digits = __Pyx_PyLong_Digits(b);
    if (size == 0) return 0;
    #if SIZEOF_SIZE_T * 8 > 1 * PyLong_SHIFT
    if (size == 1) {
        ival = (Py_ssize_t) (((size_t)digits[0]));
    } else
    #endif
    #if SIZEOF_SIZE_T * 8 > 2 * PyLong_SHIFT
    if (size == 2) {
        ival = (Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
    } else
    #endif
    #if SIZEOF_SIZE_T * 8 > 3 * PyLong_SHIFT
    if (size == 3) {
        ival = (Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
    } else
    #endif
    #if SIZEOF_SIZE_T * 8 > 4 * PyLong_SHIFT
    if (size == 4) {
        ival = (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]));
    } else
    #endif
        return PyLong_AsSsize_t(b);
    return is_neg ? -ival : ival;
    #else
    return PyLong_AsSsize_t(b);
    #endif
}
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) {
    if (likely(PyLong_Check(b))) {
        return __Pyx_PyLong_AsSsize_t(b);
    } else {
        Py_ssize_t ival;
        PyObject *x = PyNumber_Index(b);
        if (unlikely(!x)) return -1;
        ival = __Pyx_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(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(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(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 */