equivalent_polynomials.cpp

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/* Generated by Cython 3.3.0 */
 
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#    define CYTHON_UNUSED_VAR(x) (void)(x)
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#ifndef CYTHON_MAYBE_UNUSED_VAR
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#ifndef CYTHON_NCP_UNUSED
# if CYTHON_COMPILING_IN_CPYTHON && !CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
#  define CYTHON_NCP_UNUSED
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#ifndef CYTHON_USE_CPP_STD_MOVE
  #if defined(__cplusplus) && (\
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#endif
#define __Pyx_void_to_None(void_result) ((void)(void_result), Py_INCREF(Py_None), Py_None)
#include <stdint.h>
typedef uintptr_t  __pyx_uintptr_t;
#ifndef CYTHON_FALLTHROUGH
  #if defined(__cplusplus)
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    #ifndef CYTHON_FALLTHROUGH
      #if __has_cpp_attribute(clang::fallthrough)
        #define CYTHON_FALLTHROUGH [[clang::fallthrough]]
      #elif __has_cpp_attribute(gnu::fallthrough)
        #define CYTHON_FALLTHROUGH [[gnu::fallthrough]]
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  #ifndef 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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  #define __Pyx_UNREACHABLE() Py_FatalError("Unreachable C code path reached")
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#ifndef Py_UNREACHABLE
  #define Py_UNREACHABLE() __Pyx_UNREACHABLE()
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#ifdef __cplusplus
  template <typename T>
  struct __PYX_IS_UNSIGNED_IMPL {static const bool value = T(0) < T(-1);};
  #define __PYX_IS_UNSIGNED(type) (__PYX_IS_UNSIGNED_IMPL<type>::value)
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  #define __PYX_IS_UNSIGNED(type) (((type)-1) > 0)
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#if CYTHON_COMPILING_IN_PYPY == 1
  #define __PYX_NEED_TP_PRINT_SLOT  (PY_VERSION_HEX < 0x030A0000)
#else
  #define __PYX_NEED_TP_PRINT_SLOT  0
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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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/* CppInitCode */
#ifndef __cplusplus
  #error "Cython files generated with the C++ option must be compiled with a C++ compiler."
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#ifndef CYTHON_INLINE
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    #define CYTHON_INLINE inline
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template<typename T>
void __Pyx_call_destructor(T& x) {
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}
template<typename T>
class __Pyx_FakeReference {
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    __Pyx_FakeReference(const T& ref) : ptr(const_cast<T*>(&ref)) { }
    T *operator->() { return ptr; }
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    operator T&() { return *ptr; }
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  private:
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#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;
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    #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))
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#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)
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  #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;
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#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)
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#ifndef Py_TPFLAGS_MAPPING
  #define Py_TPFLAGS_MAPPING (CYTHON_COMPILING_IN_LIMITED_API ? 0 : 1 << 6)
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#ifndef Py_TPFLAGS_IMMUTABLETYPE
  #define Py_TPFLAGS_IMMUTABLETYPE (1UL << 8)
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#ifndef Py_TPFLAGS_DISALLOW_INSTANTIATION
  #define Py_TPFLAGS_DISALLOW_INSTANTIATION (1UL << 7)
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#ifndef METH_STACKLESS
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#if !defined(METH_FASTCALL) || CYTHON_COMPILING_IN_PYPY
  #ifndef METH_FASTCALL
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  typedef PyObject *(*__Pyx_PyCFunctionFast) (PyObject *self, PyObject *const *args, Py_ssize_t nargs);
  typedef PyObject *(*__Pyx_PyCFunctionFastWithKeywords) (PyObject *self, PyObject *const *args,
                                                          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
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  #define __Pyx_METH_FASTCALL METH_VARARGS
  #define __Pyx_PyCFunction_FastCall PyCFunction
  #define __Pyx_PyCFunction_FastCallWithKeywords PyCFunctionWithKeywords
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#if CYTHON_VECTORCALL
  #define __pyx_vectorcallfunc vectorcallfunc
  #define __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET  PY_VECTORCALL_ARGUMENTS_OFFSET
  #define __Pyx_PyVectorcall_NARGS(n)  PyVectorcall_NARGS((size_t)(n))
#else
  #define __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET  0
  #define __Pyx_PyVectorcall_NARGS(n)  ((Py_ssize_t)(n))
#endif
#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
#endif
#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)
#endif
#if CYTHON_COMPILING_IN_CPYTHON || defined(_PyDict_NewPresized)
#define __Pyx_PyDict_NewPresized(n)  ((n <= 8) ? PyDict_New() : _PyDict_NewPresized(n))
#else
#define __Pyx_PyDict_NewPresized(n)  PyDict_New()
#endif
#define __Pyx_PyNumber_Divide(x,y)         PyNumber_TrueDivide(x,y)
#define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceTrueDivide(x,y)
#if CYTHON_COMPILING_IN_CPYTHON && CYTHON_USE_UNICODE_INTERNALS
#define __Pyx_PyDict_GetItemStrWithError(dict, name)  _PyDict_GetItem_KnownHash(dict, name, ((PyASCIIObject *) name)->hash)
static CYTHON_INLINE PyObject * __Pyx_PyDict_GetItemStr(PyObject *dict, PyObject *name) {
    PyObject *res = __Pyx_PyDict_GetItemStrWithError(dict, name);
    if (res == NULL && PyErr_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
#else
static CYTHON_INLINE PyObject * __Pyx_PyDict_GetItemStrWithError(PyObject *dict, PyObject *name) {
#if CYTHON_COMPILING_IN_PYPY
    return PyDict_GetItem(dict, name);
#else
    PyDictEntry *ep;
    PyDictObject *mp = (PyDictObject*) dict;
    long hash = ((PyStringObject *) name)->ob_shash;
    assert(hash != -1);
    ep = (mp->ma_lookup)(mp, name, hash);
    if (ep == NULL) {
        return NULL;
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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)
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx_PyUnicode_READY(op)       (0)
  #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_ReadChar(u, i)
  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   ((void)u, 1114111U)
  #define __Pyx_PyUnicode_KIND(u)         ((void)u, (0))
  #define __Pyx_PyUnicode_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)) ?\
                                                0 : _PyUnicode_Ready((PyObject *)(op)))
  #endif
  #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_READ_CHAR(u, i)
  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   PyUnicode_MAX_CHAR_VALUE(u)
  #define __Pyx_PyUnicode_KIND(u)         ((int)PyUnicode_KIND(u))
  #define __Pyx_PyUnicode_DATA(u)         PyUnicode_DATA(u)
  #define __Pyx_PyUnicode_READ(k, d, i)   PyUnicode_READ(k, d, i)
  #define __Pyx_PyUnicode_WRITE(k, d, i, ch)  PyUnicode_WRITE(k, d, i, (Py_UCS4) ch)
  #if PY_VERSION_HEX >= 0x030C0000
    #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GET_LENGTH(u))
  #else
    #if CYTHON_COMPILING_IN_CPYTHON
    #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)
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#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
    #define __PYX_EXTERN_C extern "C++"
#endif
 
#define __PYX_HAVE__equivalent_polynomials
#define __PYX_HAVE_API__equivalent_polynomials
/* Early includes */
#include "equivalent_polynomials.h"
#include <string.h>
#include <stdio.h>
 
    /* Using NumPy API declarations from "numpy/__init__.cython-30.pxd" */
    
#include "numpy/arrayobject.h"
#include "numpy/ndarrayobject.h"
#include "numpy/ndarraytypes.h"
#include "numpy/arrayscalars.h"
#include "numpy/ufuncobject.h"
#include "pythread.h"
 
    typedef int (*__pyx_memoryview_to_dtype_func_type)(char*, PyObject*);
    
#include <stdlib.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/equivalent_polynomials.pyx",
  "View.MemoryView",
  "../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
 
/* ForceInitThreads.proto */
#ifndef __PYX_FORCE_INIT_THREADS
  #define __PYX_FORCE_INIT_THREADS 0
#endif
 
/* NoFastGil.proto */
#define __Pyx_PyGILState_Ensure PyGILState_Ensure
#define __Pyx_PyGILState_Release PyGILState_Release
#define __Pyx_FastGIL_Remember()
#define __Pyx_FastGIL_Forget()
#define __Pyx_FastGilFuncInit()
 
/* IncludeStructmemberH.proto (used by CythonFunctionShared) */
#include <structmember.h>
 
/* BufferFormatStructs.proto */
struct __Pyx_StructField_;
#define __PYX_BUF_FLAGS_PACKED_STRUCT (1 << 0)
typedef struct {
  const char* name;
  const struct __Pyx_StructField_* fields;
  size_t size;
  size_t arraysize[8];
  int ndim;
  char typegroup;
  char is_unsigned;
  int flags;
} __Pyx_TypeInfo;
typedef struct __Pyx_StructField_ {
  const __Pyx_TypeInfo* type;
  const char* name;
  size_t offset;
} __Pyx_StructField;
typedef struct {
  const __Pyx_StructField* field;
  size_t parent_offset;
} __Pyx_BufFmt_StackElem;
typedef struct {
  __Pyx_StructField root;
  __Pyx_BufFmt_StackElem* head;
  size_t fmt_offset;
  size_t new_count, enc_count;
  size_t struct_alignment;
  int is_complex;
  char enc_type;
  char new_packmode;
  char enc_packmode;
  char is_valid_array;
} __Pyx_BufFmt_Context;
 
/* MemviewSliceStruct.proto */
struct __pyx_memoryview_obj;
typedef struct {
  struct __pyx_memoryview_obj *memview;
  char *data;
  Py_ssize_t shape[8];
  Py_ssize_t strides[8];
  Py_ssize_t suboffsets[8];
} __Pyx_memviewslice;
#define __Pyx_MemoryView_Len(m)  (m.shape[0])
#define __Pyx_MEMVIEW_DIRECT   1
#define __Pyx_MEMVIEW_PTR      2
#define __Pyx_MEMVIEW_FULL     4
#define __Pyx_MEMVIEW_CONTIG   8
#define __Pyx_MEMVIEW_STRIDED  16
#define __Pyx_MEMVIEW_FOLLOW   32
#define __Pyx_IS_C_CONTIG 1
#define __Pyx_IS_F_CONTIG 2
#define __Pyx_MEMSLICE_INIT  { 0, 0, { 0 }, { 0 }, { 0 } }
#if CYTHON_ATOMICS
    #define __pyx_add_acquisition_count(memview)\
             __pyx_atomic_incr_relaxed(__pyx_get_slice_count_pointer(memview))
    #define __pyx_sub_acquisition_count(memview)\
            __pyx_atomic_decr_acq_rel(__pyx_get_slice_count_pointer(memview))
#else
    #define __pyx_add_acquisition_count(memview)\
            __pyx_add_acquisition_count_locked(__pyx_get_slice_count_pointer(memview), memview->lock)
    #define __pyx_sub_acquisition_count(memview)\
            __pyx_sub_acquisition_count_locked(__pyx_get_slice_count_pointer(memview), memview->lock)
#endif
 
/* #### 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
 * 
*/
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;
/* #### Code section: complex_type_declarations ### */
/* Declarations.proto */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
  #ifdef __cplusplus
    typedef ::std::complex< float > __pyx_t_float_complex;
  #else
    typedef float _Complex __pyx_t_float_complex;
  #endif
#else
    typedef struct { float real, imag; } __pyx_t_float_complex;
#endif
static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float, float);
 
/* Declarations.proto */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
  #ifdef __cplusplus
    typedef ::std::complex< double > __pyx_t_double_complex;
  #else
    typedef double _Complex __pyx_t_double_complex;
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#else
    typedef struct { double real, imag; } __pyx_t_double_complex;
#endif
static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double, double);
 
/* Declarations.proto */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
  #ifdef __cplusplus
    typedef ::std::complex< long double > __pyx_t_long_double_complex;
  #else
    typedef long double _Complex __pyx_t_long_double_complex;
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#else
    typedef struct { long double real, imag; } __pyx_t_long_double_complex;
#endif
static CYTHON_INLINE __pyx_t_long_double_complex __pyx_t_long_double_complex_from_parts(long double, long double);
 
/* #### Code section: type_declarations ### */
 
/*--- Type declarations ---*/
struct __pyx_obj_22equivalent_polynomials_Simplex;
struct __pyx_array_obj;
struct __pyx_MemviewEnum_obj;
struct __pyx_memoryview_obj;
struct __pyx_memoryviewslice_obj;
 
/* "equivalent_polynomials.pyx":30
 * 
 * 
 * cdef class Simplex:             # <<<<<<<<<<<<<<
 *     cdef np.ndarray xiBuffer
 *     cdef int nSpace
*/
struct __pyx_obj_22equivalent_polynomials_Simplex {
  PyObject_HEAD
  PyArrayObject *xiBuffer;
  int nSpace;
  int nP;
  int nQ;
  int nEBQ;
  int q;
  bool inside_out;
  int edge;
  int corner;
  PyArrayObject *_H;
  PyArrayObject *_ImH;
  PyArrayObject *_D;
  equivalent_polynomials::Simplex<1,2,1,50,50>  s11;
  equivalent_polynomials::Simplex<1,2,2,50,50>  s12;
  equivalent_polynomials::Simplex<1,2,3,50,50>  s13;
  equivalent_polynomials::Simplex<2,3,1,50,50>  s21;
  equivalent_polynomials::Simplex<2,3,2,50,50>  s22;
  equivalent_polynomials::Simplex<2,3,3,50,50>  s23;
  equivalent_polynomials::Simplex<3,4,1,50,50>  s31;
  equivalent_polynomials::Simplex<3,4,2,50,50>  s32;
  equivalent_polynomials::Simplex<3,4,3,50,50>  s33;
};
 
 
/* "View.MemoryView":128
 * 
 * 
 * @cython.collection_type("sequence")             # <<<<<<<<<<<<<<
 * @cname("__pyx_array")
 * cdef class array:
*/
struct __pyx_array_obj {
  PyObject_HEAD
  struct __pyx_vtabstruct_array *__pyx_vtab;
  char *data;
  Py_ssize_t len;
  char *format;
  int ndim;
  Py_ssize_t *_shape;
  Py_ssize_t *_strides;
  Py_ssize_t itemsize;
  PyObject *mode;
  PyObject *_format;
  void (*callback_free_data)(void *);
  int free_data;
  int dtype_is_object;
};
 
 
/* "View.MemoryView":318
 * 
 * 
 * @cname('__pyx_MemviewEnum')             # <<<<<<<<<<<<<<
 * cdef class Enum(object):
 *     cdef object name
*/
struct __pyx_MemviewEnum_obj {
  PyObject_HEAD
  PyObject *name;
};
 
 
/* "View.MemoryView":353
 * 
 * 
 * @cname('__pyx_memoryview')             # <<<<<<<<<<<<<<
 * cdef class memoryview:
 * 
*/
struct __pyx_memoryview_obj {
  PyObject_HEAD
  struct __pyx_vtabstruct_memoryview *__pyx_vtab;
  PyObject *obj;
  PyObject *_size;
  void *_unused;
  PyThread_type_lock lock;
  __pyx_atomic_int_type acquisition_count;
  Py_buffer view;
  int flags;
  int dtype_is_object;
  __Pyx_TypeInfo const *typeinfo;
};
 
 
/* "View.MemoryView":947
 * 
 * 
 * @cython.collection_type("sequence")             # <<<<<<<<<<<<<<
 * @cname('__pyx_memoryviewslice')
 * cdef class _memoryviewslice(memoryview):
*/
struct __pyx_memoryviewslice_obj {
  struct __pyx_memoryview_obj __pyx_base;
  __Pyx_memviewslice from_slice;
  PyObject *from_object;
  PyObject *(*to_object_func)(char *);
  __pyx_memoryview_to_dtype_func_type to_dtype_func;
};
 
 
 
/* "View.MemoryView":128
 * 
 * 
 * @cython.collection_type("sequence")             # <<<<<<<<<<<<<<
 * @cname("__pyx_array")
 * cdef class array:
*/
 
struct __pyx_vtabstruct_array {
  PyObject *(*get_memview)(struct __pyx_array_obj *);
};
static struct __pyx_vtabstruct_array *__pyx_vtabptr_array;
 
 
/* "View.MemoryView":353
 * 
 * 
 * @cname('__pyx_memoryview')             # <<<<<<<<<<<<<<
 * cdef class memoryview:
 * 
*/
 
struct __pyx_vtabstruct_memoryview {
  char *(*get_item_pointer)(struct __pyx_memoryview_obj *, PyObject *);
  PyObject *(*is_slice)(struct __pyx_memoryview_obj *, PyObject *);
  PyObject *(*setitem_slice_assignment)(struct __pyx_memoryview_obj *, PyObject *, PyObject *);
  PyObject *(*setitem_slice_assign_scalar)(struct __pyx_memoryview_obj *, struct __pyx_memoryview_obj *, PyObject *);
  PyObject *(*setitem_indexed)(struct __pyx_memoryview_obj *, PyObject *, PyObject *);
  PyObject *(*setitem_indexed1)(struct __pyx_memoryview_obj *, PyObject *, PyObject *);
  PyObject *(*convert_item_to_object)(struct __pyx_memoryview_obj *, char *);
  PyObject *(*assign_item_from_object)(struct __pyx_memoryview_obj *, char *, PyObject *);
  PyObject *(*_get_base)(struct __pyx_memoryview_obj *);
};
static struct __pyx_vtabstruct_memoryview *__pyx_vtabptr_memoryview;
 
 
/* "View.MemoryView":947
 * 
 * 
 * @cython.collection_type("sequence")             # <<<<<<<<<<<<<<
 * @cname('__pyx_memoryviewslice')
 * cdef class _memoryviewslice(memoryview):
*/
 
struct __pyx_vtabstruct__memoryviewslice {
  struct __pyx_vtabstruct_memoryview __pyx_base;
};
static struct __pyx_vtabstruct__memoryviewslice *__pyx_vtabptr__memoryviewslice;
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  #define __Pyx_GIVEREF(r)
  #define __Pyx_XINCREF(r) Py_XINCREF(r)
  #define __Pyx_XDECREF(r) Py_XDECREF(r)
  #define __Pyx_XGOTREF(r)
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#define __Pyx_Py_XDECREF_SET(r, v) do {\
        PyObject *tmp = (PyObject *) r;\
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#define __Pyx_XDECREF_SET(r, v) do {\
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#define __Pyx_DECREF_SET(r, v) do {\
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/* 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);
#endif
 
/* 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)
#elif CYTHON_ASSUME_SAFE_MACROS
    #define __Pyx_ArgRef_VARARGS(args, i) __Pyx_NewRef(__Pyx_PyTuple_GET_ITEM(args, i))
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    #define __Pyx_ArgRef_VARARGS(args, i) __Pyx_XNewRef(PyTuple_GetItem(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
    #define __Pyx_ArgRef_FASTCALL(args, i) __Pyx_NewRef(args[i])
    #define __Pyx_NumKwargs_FASTCALL(kwds) __Pyx_PyTuple_GET_SIZE(kwds)
    #define __Pyx_KwValues_FASTCALL(args, nargs) ((args) + (nargs))
    static CYTHON_INLINE PyObject * __Pyx_GetKwValue_FASTCALL(PyObject *kwnames, PyObject *const *kwvalues, PyObject *s);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030d0000 || CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL
    CYTHON_UNUSED static PyObject *__Pyx_KwargsAsDict_FASTCALL(PyObject *kwnames, PyObject *const *kwvalues);
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    #define __Pyx_KwargsAsDict_FASTCALL(kw, kwvalues) _PyStack_AsDict(kwvalues, kw)
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    #define __Pyx_ArgRef_FASTCALL __Pyx_ArgRef_VARARGS
    #define __Pyx_NumKwargs_FASTCALL __Pyx_NumKwargs_VARARGS
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    #define __Pyx_GetKwValue_FASTCALL __Pyx_GetKwValue_VARARGS
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#if CYTHON_VECTORCALL_TPNEW
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    #define __Pyx_NumKwargs_FASTCALL_TPNEW __Pyx_NumKwargs_FASTCALL
    #define __Pyx_KwValues_FASTCALL_TPNEW __Pyx_KwValues_FASTCALL
    #define __Pyx_GetKwValue_FASTCALL_TPNEW __Pyx_GetKwValue_FASTCALL
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    #define __Pyx_ArgRef_FASTCALL_TPNEW __Pyx_ArgRef_VARARGS
    #define __Pyx_NumKwargs_FASTCALL_TPNEW __Pyx_NumKwargs_VARARGS
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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)
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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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/* PyObjectCall.proto (used by PyObjectFastCall) */
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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) */
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static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg);
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/* PyObjectFastCall.proto (used by PyObjectCallOneArg) */
#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);
 
/* 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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static CYTHON_INLINE int __Pyx_IgnoreGivenException(PyObject *given_exception, PyObject *ignorable_exception);
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#define __Pyx_TypeCheck(obj, type) __Pyx_IsSubtype(Py_TYPE(obj), (PyTypeObject *)type)
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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
 
/* 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)
#endif
 
/* 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
    return 1;
#else
    __pyx_nonatomic_int_type expected = 0;
    if (__pyx_atomic_int_cmp_exchange(&cfunc->initialized, &expected, 1)) {
        return 0;
    }
    return expected;
#endif
}
static CYTHON_INLINE void __Pyx_CachedCFunction_SetFinishedInitializing(__Pyx_CachedCFunction *cfunc) {
#if CYTHON_ATOMICS
    __pyx_atomic_store(&cfunc->initialized, 2);
#endif
}
#else
#define __Pyx_CachedCFunction_GetAndSetInitializing(cfunc) 2
#define __Pyx_CachedCFunction_SetFinishedInitializing(cfunc)
#endif
 
/* CallUnboundCMethod0.proto */
CYTHON_UNUSED
static PyObject* __Pyx__CallUnboundCMethod0(__Pyx_CachedCFunction* cfunc, PyObject* self);
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_CallUnboundCMethod0(__Pyx_CachedCFunction* cfunc, PyObject* self);
#else
#define __Pyx_CallUnboundCMethod0(cfunc, self)  __Pyx__CallUnboundCMethod0(cfunc, self)
#endif
 
/* py_dict_values.proto (used by OwnedDictNext) */
#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);
 
/* PyThreadStateGet.proto (used by PyErrFetchRestore) */
#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)
#else
#define __Pyx_PyErr_Occurred()  (__pyx_tstate->curexc_type != NULL)
#define __Pyx_PyErr_CurrentExceptionType()  (__pyx_tstate->curexc_type)
#endif
#else
#define __Pyx_PyThreadState_declare
#define __Pyx_PyThreadState_assign
#define __Pyx_PyErr_Occurred()  (PyErr_Occurred() != NULL)
#define __Pyx_PyErr_CurrentExceptionType()  PyErr_Occurred()
#endif
 
/* PyErrFetchRestore.proto (used by 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))
#else
#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
#endif
#else
#define __Pyx_PyErr_Clear() PyErr_Clear()
#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
#define __Pyx_ErrRestoreWithState(type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetchWithState(type, value, tb)  PyErr_Fetch(type, value, tb)
#define __Pyx_ErrRestoreInState(tstate, type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetchInState(tstate, type, value, tb)  PyErr_Fetch(type, value, tb)
#define __Pyx_ErrRestore(type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetch(type, value, tb)  PyErr_Fetch(type, value, tb)
#endif
 
/* 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);
#else
#define __Pyx_PyErr_GivenExceptionMatches(err, type) PyErr_GivenExceptionMatches(err, type)
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *type1, PyObject *type2) {
    return PyErr_GivenExceptionMatches(err, type1) || PyErr_GivenExceptionMatches(err, type2);
}
#endif
#define __Pyx_PyErr_ExceptionMatches2(err1, err2)  __Pyx_PyErr_GivenExceptionMatches2(__Pyx_PyErr_CurrentExceptionType(), err1, err2)
 
/* PyErrExceptionMatches.proto (used by PyObjectGetAttrStrNoError) */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_PyErr_ExceptionMatches(err) __Pyx_PyErr_ExceptionMatchesInState(__pyx_tstate, err)
static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err);
#else
#define __Pyx_PyErr_ExceptionMatches(err)  PyErr_ExceptionMatches(err)
#endif
 
/* PyObjectGetAttrStrNoError.proto (used by GetBuiltinName) */
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStrNoError(PyObject* obj, PyObject* attr_name);
 
/* GetBuiltinName.proto */
static PyObject *__Pyx_GetBuiltinName(PyObject *name);
 
/* PyObjectFastCallMethod.proto */
#if CYTHON_VECTORCALL
#define __Pyx_PyObject_FastCallMethod(name, args, nargsf) PyObject_VectorcallMethod(name, args, nargsf, NULL)
#else
static PyObject *__Pyx_PyObject_FastCallMethod(PyObject *name, PyObject *const *args, size_t nargsf);
#endif
 
/* FormatTypeName.proto (used by RaiseErrorWithObjectType1) */
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX >= 0x030d0000
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)
#elif CYTHON_COMPILING_IN_LIMITED_API
typedef PyObject *__Pyx_TypeName;
#define __Pyx_FMT_TYPENAME "%U"
#define __Pyx_DECREF_TypeName(obj) Py_XDECREF(obj)
static __Pyx_TypeName __Pyx_PyType_GetFullyQualifiedName(PyTypeObject* tp);
#else  // !LIMITED_API
typedef const char *__Pyx_TypeName;
#define __Pyx_FMT_TYPENAME "%.200s"
#define __Pyx_PyType_GetFullyQualifiedName(tp) ((tp)->tp_name)
#define __Pyx_DECREF_TypeName(obj)
#endif
 
/* RaiseErrorWithObjectType1.proto (used by RaiseUnexpectedTypeError) */
#define __Pyx_RaiseTypeErrorWithObjectType1(message, arg, obj) __Pyx_RaiseErrorWithObjectType1(PyExc_TypeError, message, arg, obj)
#define __Pyx_RaiseErrorWithObjectType1(exc_type, message, arg, obj) __Pyx_RaiseErrorWithType1(exc_type, message, arg, Py_TYPE(obj))
CYTHON_UNUSED
static void __Pyx_RaiseErrorWithType1(PyObject* exc_type, const char* message, const char *arg, PyTypeObject *type_obj);
 
/* RaiseUnexpectedTypeError.proto */
CYTHON_UNUSED
static int __Pyx_RaiseUnexpectedTypeError(const char *expected, PyObject *obj);
 
/* PyMemoryError_Check.proto */
#define __Pyx_PyExc_MemoryError_Check(obj)  __Pyx_TypeCheck(obj, PyExc_MemoryError)
 
/* RaiseException.export */
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause);
 
/* PyValueError_Check.proto */
#define __Pyx_PyExc_ValueError_Check(obj)  __Pyx_TypeCheck(obj, PyExc_ValueError)
 
/* BuildPyUnicode.proto (used by COrdinalToPyUnicode) */
static PyObject* __Pyx_PyUnicode_BuildFromAscii(Py_ssize_t ulength, const char* chars, int clength,
                                                int prepend_sign, char padding_char);
 
/* COrdinalToPyUnicode.proto (used by CIntToPyUnicode) */
static CYTHON_INLINE int __Pyx_CheckUnicodeValue(int value);
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromOrdinal_Padded(int value, Py_ssize_t width, char padding_char);
 
/* GCCDiagnostics.proto (used by CIntToPyUnicode) */
#if !defined(__INTEL_COMPILER) && defined(__GNUC__) && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 6))
#define __Pyx_HAS_GCC_DIAGNOSTIC
#endif
 
/* IncludeStdlibH.proto (used by CIntToPyUnicode) */
#include <stdlib.h>
 
/* CIntToPyUnicode.proto */
#define __Pyx_PyUnicode_From_int(value, width, padding_char, format_char) (\
    ((format_char) == ('c')) ?\
        __Pyx_uchar___Pyx_PyUnicode_From_int(value, width, padding_char) :\
        __Pyx____Pyx_PyUnicode_From_int(value, width, padding_char, format_char)\
    )
static CYTHON_INLINE PyObject* __Pyx_uchar___Pyx_PyUnicode_From_int(int value, Py_ssize_t width, char padding_char);
static CYTHON_INLINE PyObject* __Pyx____Pyx_PyUnicode_From_int(int value, Py_ssize_t width, char padding_char, char format_char);
 
/* CIntToPyUnicode.proto */
#define __Pyx_PyUnicode_From_Py_ssize_t(value, width, padding_char, format_char) (\
    ((format_char) == ('c')) ?\
        __Pyx_uchar___Pyx_PyUnicode_From_Py_ssize_t(value, width, padding_char) :\
        __Pyx____Pyx_PyUnicode_From_Py_ssize_t(value, width, padding_char, format_char)\
    )
static CYTHON_INLINE PyObject* __Pyx_uchar___Pyx_PyUnicode_From_Py_ssize_t(Py_ssize_t value, Py_ssize_t width, char padding_char);
static CYTHON_INLINE PyObject* __Pyx____Pyx_PyUnicode_From_Py_ssize_t(Py_ssize_t value, Py_ssize_t width, char padding_char, char format_char);
 
/* JoinPyUnicode.proto */
#define __Pyx_PyUnicode_Join_CAN_USE_KIND_AND_LENGTH\
    (!CYTHON_COMPILING_IN_GRAAL && !CYTHON_COMPILING_IN_PYPY && !CYTHON_COMPILING_IN_LIMITED_API)
 
/* JoinPyUnicode.export */
static PyObject* __Pyx_PyUnicode_Join(PyObject** values, Py_ssize_t value_count, Py_ssize_t result_ulength, int kind);
 
/* UnicodeEqualsUCS4.proto (used by UnicodeEquals_uchar) */
#if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_GRAAL
#define __Pyx_PyObject_Equals_uchar(s1, s2, ch2, equals, s1_is_str) (\
    ((s1) == (s2)) ? ((equals) == Py_EQ) :\
    ((s1) == Py_None) ? ((equals) == Py_NE) :\
    __Pyx_PyObject_RichCompareBool(s1, s2, equals)\
    )
#else
#define __Pyx_PyObject_Equals_uchar(s1, s2, ch2, equals, s1_is_str) (\
    ((s1) == (s2)) ? ((equals) == Py_EQ) :\
    ((s1) == Py_None) ? ((equals) == Py_NE) :\
    (likely((s1_is_str) || PyUnicode_CheckExact(s1)) ?\
        __Pyx__PyUnicode_EqualsUCS4(s1, ch2, equals) :\
        __Pyx_PyObject_RichCompareBool(s1, s2, equals)\
    ))
static CYTHON_INLINE int __Pyx__PyUnicode_EqualsUCS4(PyObject* s1, Py_UCS4 ch2, int equals);
#endif
 
/* UnicodeEquals_uchar.proto */
#define __Pyx_PyObject_Equals_obj_ch99(s1, s2, equals)  __Pyx_PyObject_Equals_uchar(s1, s2, 99, equals, 0)
 
/* PyObjectCompare.proto */
static CYTHON_INLINE int __Pyx_PyObject_CompareBoolEq_object_str(PyObject *op1, PyObject *op2, int pyop);
 
/* PyObjectFormatSimple.proto */
#if CYTHON_COMPILING_IN_PYPY
    #define __Pyx_PyObject_FormatSimple(s, f) (\
        likely(PyUnicode_CheckExact(s)) ? (Py_INCREF(s), s) :\
        PyObject_Format(s, f))
#elif CYTHON_USE_TYPE_SLOTS
    #define __Pyx_PyObject_FormatSimple(s, f) (\
        likely(PyUnicode_CheckExact(s)) ? (Py_INCREF(s), s) :\
        likely(PyLong_CheckExact(s)) ? PyLong_Type.tp_repr(s) :\
        likely(PyFloat_CheckExact(s)) ? PyFloat_Type.tp_repr(s) :\
        PyObject_Format(s, f))
#else
    #define __Pyx_PyObject_FormatSimple(s, f) (\
        likely(PyUnicode_CheckExact(s)) ? (Py_INCREF(s), s) :\
        PyObject_Format(s, f))
#endif
 
/* PyObjectCompare.proto */
static CYTHON_INLINE PyObject* __Pyx_PyObject_CompareEq_object_bytes(PyObject *op1, PyObject *op2, int pyop);
 
CYTHON_UNUSED static int __pyx_array_getbuffer(PyObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /*proto*/
/* UnicodeEquals_uchar.proto */
#define __Pyx_PyObject_Equals_str_ch99(s1, s2, equals)  __Pyx_PyObject_Equals_uchar(s1, s2, 99, equals, 1)
 
static PyObject *__pyx_array_get_memview(struct __pyx_array_obj *); /*proto*/
/* GetAttr.proto */
static CYTHON_INLINE PyObject *__Pyx_GetAttr(PyObject *, PyObject *);
 
/* PyFrozenDict.proto (used by GetItemInt) */
#if CYTHON_COMPILING_IN_LIMITED_API
#define __Pyx_PyFrozenDict_TypePtr  ((PyTypeObject*) __pyx_mstate_global->__Pyx_PyFrozenDictType)
#define __Pyx_PyFrozenDict_New(it)  __Pyx__PyFrozenDict_New(__pyx_mstate_global->__Pyx_PyFrozenDictType, it)
static CYTHON_INLINE PyObject* __Pyx__PyFrozenDict_New(PyObject* frozendict_type, PyObject* it);
#define __Pyx_PyFrozenDict_NewEmpty()  __Pyx_PyFrozenDict_New(NULL)
#define __Pyx_PyFrozenDict_Check(obj)  PyObject_TypeCheck((obj), __Pyx_PyFrozenDict_TypePtr)
#define __Pyx_PyFrozenDict_CheckExact(obj)  Py_IS_TYPE((obj), __Pyx_PyFrozenDict_TypePtr)
#define __Pyx_PyAnyDict_Check(obj)   __Pyx__PyAnyDict_Check(obj, __Pyx_PyFrozenDict_TypePtr)
static CYTHON_INLINE int __Pyx__PyAnyDict_Check(PyObject *obj, PyTypeObject* frozendict_type) {
    return PyObject_TypeCheck(obj, &PyDict_Type) || PyObject_TypeCheck(obj, frozendict_type);
}
#define __Pyx_PyAnyDict_CheckExact(obj)  __Pyx__PyAnyDict_CheckExact(obj, __Pyx_PyFrozenDict_TypePtr)
static CYTHON_INLINE int __Pyx__PyAnyDict_CheckExact(PyObject *obj, PyTypeObject* frozendict_type) {
    return Py_IS_TYPE(obj, &PyDict_Type) || Py_IS_TYPE(obj, frozendict_type);
}
#elif PY_VERSION_HEX >= 0x030f00a6 ||\
    (defined(PyFrozenDict_Check) && defined(PyAnyDict_Check) && defined(PyFrozenDict_New))
#define __Pyx_PyFrozenDict_TypePtr  (&PyFrozenDict_Type)
#define __Pyx_PyFrozenDict_New(it)  PyFrozenDict_New(it)
#define __Pyx_PyFrozenDict_NewEmpty()  PyFrozenDict_New(NULL)
#define __Pyx_PyFrozenDict_Check(obj)  PyFrozenDict_Check(obj)
#define __Pyx_PyFrozenDict_CheckExact(obj)  PyFrozenDict_CheckExact(obj)
#define __Pyx_PyAnyDict_Check(obj)  PyAnyDict_Check(obj)
#define __Pyx_PyAnyDict_CheckExact(obj)  PyAnyDict_CheckExact(obj)
#else
#define __Pyx_PyFrozenDict_TypePtr  (&PyDict_Type)
static CYTHON_INLINE PyObject* __Pyx_PyFrozenDict_New(PyObject* it) {
    if (!it) {
        return PyDict_New();
    } else if (PyDict_Check(it)) {
        return PyDict_Copy(it);
    } else {
        PyObject *dict = PyDict_New();
        if (!dict) return NULL;
        PyObject *result = PyNumber_InPlaceOr(dict, it);
        Py_DECREF(dict);
        return result;
    }
}
#define __Pyx_PyFrozenDict_NewEmpty()  PyDict_New()
#define __Pyx_PyFrozenDict_Check(obj)  PyDict_Check(obj)
#define __Pyx_PyFrozenDict_CheckExact(obj)  PyDict_CheckExact(obj)
#define __Pyx_PyAnyDict_Check(obj)  PyDict_Check(obj)
#define __Pyx_PyAnyDict_CheckExact(obj)  PyDict_CheckExact(obj)
#endif
 
/* GetItemInt.proto */
#define __Pyx_GetItemInt(o, i, type, is_signed, to_py_func, wraparound, boundscheck, has_gil, unsafe_shared)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_GetItemInt_Fast(o, (Py_ssize_t)i, wraparound, boundscheck, unsafe_shared) :\
    __Pyx_GetItemInt_Generic(o, to_py_func(i)))
#define __Pyx_GetItemInt_List(o, i, type, is_signed, to_py_func, wraparound, boundscheck, has_gil, unsafe_shared)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_GetItemInt_List_Fast(o, (Py_ssize_t)i, wraparound, boundscheck, unsafe_shared) :\
    (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL))
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i,
                                                              int wraparound, int boundscheck, int unsafe_shared);
#define __Pyx_GetItemInt_Tuple(o, i, type, is_signed, to_py_func, wraparound, boundscheck, has_gil, unsafe_shared)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_GetItemInt_Tuple_Fast(o, (Py_ssize_t)i, wraparound, boundscheck, unsafe_shared) :\
    (PyErr_SetString(PyExc_IndexError, "tuple index out of range"), (PyObject*)NULL))
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,
                                                              int wraparound, int boundscheck, int unsafe_shared);
static PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j);
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i,
                                                     int wraparound, int boundscheck, int unsafe_shared);
 
/* RaiseErrorWithObjectType.proto (used by ObjectGetItem) */
#define __Pyx_RaiseTypeErrorWithObjectType(message, obj)  __Pyx_RaiseErrorWithObjectType(PyExc_TypeError, message, obj)
#define __Pyx_RaiseErrorWithObjectType(exc_type, message, obj)  __Pyx_RaiseErrorWithType(exc_type, message, Py_TYPE(obj))
CYTHON_UNUSED
static void __Pyx_RaiseErrorWithType(PyObject* exc_type, const char* message, PyTypeObject *type_obj);
 
/* ObjectGetItem.proto */
#if CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE PyObject *__Pyx_PyObject_GetItem(PyObject *obj, PyObject *key);
#else
#define __Pyx_PyObject_GetItem(obj, key)  PyObject_GetItem(obj, key)
#endif
 
/* RejectKeywords.export */
static void __Pyx_RejectKeywords(const char* function_name, PyObject *kwds);
 
/* PyTypeError_Check.proto */
#define __Pyx_PyExc_TypeError_Check(obj)  __Pyx_TypeCheck(obj, PyExc_TypeError)
 
/* DivInt[Py_ssize_t].proto */
static CYTHON_INLINE Py_ssize_t __Pyx_div_Py_ssize_t(Py_ssize_t, Py_ssize_t, int b_is_constant);
 
/* UnaryNegOverflows.proto */
#define __Pyx_UNARY_NEG_WOULD_OVERFLOW(x)\
        (((x) < 0) & ((unsigned long)(x) == 0-(unsigned long)(x)))
 
/* GetAttr3.proto */
static CYTHON_INLINE PyObject *__Pyx_GetAttr3(PyObject *, PyObject *, PyObject *);
 
/* PyDictVersioning.proto (used by GetModuleGlobalName) */
#if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS
#define __PYX_DICT_VERSION_INIT  ((PY_UINT64_T) -1)
#define __PYX_GET_DICT_VERSION(dict)  (((PyDictObject*)(dict))->ma_version_tag)
#define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var)\
    (version_var) = __PYX_GET_DICT_VERSION(dict);\
    (cache_var) = (value);
#define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP) {\
    static PY_UINT64_T __pyx_dict_version = 0;\
    static PyObject *__pyx_dict_cached_value = NULL;\
    if (likely(__PYX_GET_DICT_VERSION(DICT) == __pyx_dict_version)) {\
        (VAR) = __Pyx_XNewRef(__pyx_dict_cached_value);\
    } else {\
        (VAR) = __pyx_dict_cached_value = (LOOKUP);\
        __pyx_dict_version = __PYX_GET_DICT_VERSION(DICT);\
    }\
}
static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj);
static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj);
static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version);
#else
#define __PYX_GET_DICT_VERSION(dict)  (0)
#define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var)
#define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP)  (VAR) = (LOOKUP);
#endif
 
/* GetModuleGlobalName.proto */
#if CYTHON_USE_DICT_VERSIONS
#define __Pyx_GetModuleGlobalName(var, name)  do {\
    static PY_UINT64_T __pyx_dict_version = 0;\
    static PyObject *__pyx_dict_cached_value = NULL;\
    (var) = (likely(__pyx_dict_version == __PYX_GET_DICT_VERSION(__pyx_mstate_global->__pyx_d))) ?\
        (likely(__pyx_dict_cached_value) ? __Pyx_NewRef(__pyx_dict_cached_value) : __Pyx_GetBuiltinName(name)) :\
        __Pyx__GetModuleGlobalName(name, &__pyx_dict_version, &__pyx_dict_cached_value);\
} while(0)
#define __Pyx_GetModuleGlobalNameUncached(var, name)  do {\
    PY_UINT64_T __pyx_dict_version;\
    PyObject *__pyx_dict_cached_value;\
    (var) = __Pyx__GetModuleGlobalName(name, &__pyx_dict_version, &__pyx_dict_cached_value);\
} while(0)
static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value);
#else
#define __Pyx_GetModuleGlobalName(var, name)  (var) = __Pyx__GetModuleGlobalName(name)
#define __Pyx_GetModuleGlobalNameUncached(var, name)  (var) = __Pyx__GetModuleGlobalName(name)
static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name);
#endif
 
/* AssertionsEnabled.proto */
#if CYTHON_COMPILING_IN_LIMITED_API  ||  PY_VERSION_HEX >= 0x030C0000
  static int __pyx_assertions_enabled_flag;
  #define __pyx_assertions_enabled() (__pyx_assertions_enabled_flag)
  #if __clang__ || __GNUC__
  __attribute__((no_sanitize("thread")))
  #endif
  static int __Pyx_init_assertions_enabled(void) {
    PyObject *builtins, *debug, *debug_str;
    int flag;
    builtins = PyEval_GetBuiltins();
    if (!builtins) goto bad;
    debug_str = PyUnicode_FromStringAndSize("__debug__", 9);
    if (!debug_str) goto bad;
    debug = PyObject_GetItem(builtins, debug_str);
    Py_DECREF(debug_str);
    if (!debug) goto bad;
    flag = PyObject_IsTrue(debug);
    Py_DECREF(debug);
    if (flag == -1) goto bad;
    __pyx_assertions_enabled_flag = flag;
    return 0;
  bad:
    __pyx_assertions_enabled_flag = 1;
    return -1;
  }
#else
  #define __Pyx_init_assertions_enabled()  (0)
  #define __pyx_assertions_enabled()  (!Py_OptimizeFlag)
#endif
 
/* PyAssertionError_Check.proto */
#define __Pyx_PyExc_AssertionError_Check(obj)  __Pyx_TypeCheck(obj, PyExc_AssertionError)
 
/* RaiseTooManyValuesToUnpack.proto */
static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected);
 
/* RaiseNeedMoreValuesToUnpack.proto */
static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index);
 
/* RaiseNoneIterError.proto */
static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void);
 
/* GetTopmostException.proto (used by SaveResetException) */
#if CYTHON_USE_EXC_INFO_STACK && CYTHON_FAST_THREAD_STATE
static _PyErr_StackItem * __Pyx_PyErr_GetTopmostException(PyThreadState *tstate);
#endif
 
/* SaveResetException.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_ExceptionSave(type, value, tb)  __Pyx__ExceptionSave(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#define __Pyx_ExceptionReset(type, value, tb)  __Pyx__ExceptionReset(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
#else
#define __Pyx_ExceptionSave(type, value, tb)   PyErr_GetExcInfo(type, value, tb)
#define __Pyx_ExceptionReset(type, value, tb)  PyErr_SetExcInfo(type, value, tb)
#endif
 
/* RaiseErrorWithObjectTypes.proto (used by ExtTypeTest) */
#define __Pyx_RaiseErrorWithObjectTypes1(exc_type, message, arg, obj1, obj2) __Pyx_RaiseErrorWithTypes1(exc_type, message, arg, Py_TYPE(obj1), Py_TYPE(obj2))
#define __Pyx_RaiseTypeErrorWithObjectTypes(message, obj1, obj2) __Pyx_RaiseTypeErrorWithTypes(message, Py_TYPE(obj1), Py_TYPE(obj2))
#define __Pyx_RaiseTypeErrorWithTypes(message, type_obj1, type_obj2) __Pyx_RaiseErrorWithTypes1(PyExc_TypeError, "%.1s" message, "", type_obj1, type_obj2)
CYTHON_UNUSED
static void __Pyx_RaiseErrorWithTypes1(PyObject* exc_type, const char *message, const char *arg, PyTypeObject *type_obj1, PyTypeObject *type_obj2);
 
/* ExtTypeTest.proto */
static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type);
 
/* GetException.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_GetException(type, value, tb)  __Pyx__GetException(__pyx_tstate, type, value, tb)
static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#else
static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb);
#endif
 
/* SwapException.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_ExceptionSwap(type, value, tb)  __Pyx__ExceptionSwap(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionSwap(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#else
static CYTHON_INLINE void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb);
#endif
 
/* 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);
 
CYTHON_UNUSED static int __pyx_memoryview_getbuffer(PyObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /*proto*/
/* ListCompAppendAndDecref.proto */
static CYTHON_INLINE int __Pyx_ListComp_AppendAndDecref(PyObject* list, PyObject* x);
 
/* PySequenceMultiply.proto */
#define __Pyx_PySequence_Multiply_Left(mul, seq)  __Pyx_PySequence_Multiply(seq, mul)
#if !CYTHON_USE_TYPE_SLOTS
#define  __Pyx_PySequence_Multiply PySequence_Repeat
#else
static CYTHON_INLINE PyObject* __Pyx_PySequence_Multiply(PyObject *seq, Py_ssize_t mul);
#endif
 
/* PyNumberBinop.proto */
#if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL || CYTHON_COMPILING_IN_LIMITED_API
#define __Pyx_PyNumber_Multiply_object_int(op1, op2)  PyNumber_Multiply(op1, op2)
#define __Pyx_PyNumber_InPlaceMultiply_object_int(op1, op2)  PyNumber_InPlaceMultiply(op1, op2)
#else
#define __Pyx_PyNumber_Multiply_object_int(op1, op2)  __Pyx__PyNumber_Multiply_object_int(op1, op2, 0)
#define __Pyx_PyNumber_InPlaceMultiply_object_int(op1, op2)  __Pyx__PyNumber_Multiply_object_int(op1, op2, 1)
static CYTHON_INLINE PyObject* __Pyx__PyNumber_Multiply_object_int(PyObject *op1, PyObject *op2, int inplace);
#endif
 
/* PyObjectFormatAndDecref.proto */
static CYTHON_INLINE PyObject* __Pyx_PyObject_FormatSimpleAndDecref(PyObject* s, PyObject* f);
static CYTHON_INLINE PyObject* __Pyx_PyObject_FormatAndDecref(PyObject* s, PyObject* f);
 
/* PyObjectFormat.proto */
#if CYTHON_USE_UNICODE_WRITER
static PyObject* __Pyx_PyObject_Format(PyObject* s, PyObject* f);
#else
#define __Pyx_PyObject_Format(s, f) PyObject_Format(s, f)
#endif
 
/* PyObject_Unicode.proto */
#define __Pyx_PyObject_Unicode(obj)\
    (likely(PyUnicode_CheckExact(obj)) ? __Pyx_NewRef(obj) : PyObject_Str(obj))
 
/* SetItemInt.proto */
#define __Pyx_SetItemInt(o, i, v, type, is_signed, to_py_func, wraparound, boundscheck, has_gil, unsafe_shared)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_SetItemInt_Fast(o, (Py_ssize_t)i, v, wraparound, boundscheck, unsafe_shared) :\
    __Pyx_SetItemInt_Generic(o, to_py_func(i), v))
static int __Pyx_SetItemInt_Generic(PyObject *o, PyObject *j, PyObject *v);
static CYTHON_INLINE int __Pyx_SetItemInt_Fast(PyObject *o, Py_ssize_t i, PyObject *v,
                                               int wraparound, int boundscheck, int unsafe_shared);
 
/* RaiseUnboundLocalError.proto */
static void __Pyx_RaiseUnboundLocalError(const char *varname);
 
/* DivInt[long].proto */
static CYTHON_INLINE long __Pyx_div_long(long, long, int b_is_constant);
 
/* ListAppend.proto */
#if CYTHON_USE_PYLIST_INTERNALS && CYTHON_ASSUME_SAFE_MACROS && CYTHON_ASSUME_SAFE_SIZE
static CYTHON_INLINE int __Pyx_PyList_Append(PyObject* list, PyObject* x);
#else
#define __Pyx_PyList_Append(L,x) PyList_Append(L,x)
#endif
 
/* PyObjectCallMethod1.proto (used by StringJoin) */
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethod1(PyObject* obj, PyObject* method_name, PyObject* arg);
 
/* StringJoin.proto */
static CYTHON_INLINE PyObject* __Pyx_PyBytes_Join(PyObject* sep, PyObject* values);
 
/* CIntToPyUnicode.proto */
#define __Pyx_PyUnicode_From_size_t(value, width, padding_char, format_char) (\
    ((format_char) == ('c')) ?\
        __Pyx_uchar___Pyx_PyUnicode_From_size_t(value, width, padding_char) :\
        __Pyx____Pyx_PyUnicode_From_size_t(value, width, padding_char, format_char)\
    )
static CYTHON_INLINE PyObject* __Pyx_uchar___Pyx_PyUnicode_From_size_t(size_t value, Py_ssize_t width, char padding_char);
static CYTHON_INLINE PyObject* __Pyx____Pyx_PyUnicode_From_size_t(size_t value, Py_ssize_t width, char padding_char, char format_char);
 
/* PyException_Check.proto */
#define __Pyx_PyExc_Exception_Check(obj)  __Pyx_TypeCheck(obj, PyExc_Exception)
 
/* PyImportError_Check.proto */
#define __Pyx_PyExc_ImportError_Check(obj)  __Pyx_TypeCheck(obj, PyExc_ImportError)
 
/* SliceObject.proto */
#define __Pyx_PyObject_DelSlice(obj, cstart, cstop, py_start, py_stop, py_slice, has_cstart, has_cstop, wraparound)\
    __Pyx_PyObject_SetSlice(obj, (PyObject*)NULL, cstart, cstop, py_start, py_stop, py_slice, has_cstart, has_cstop, wraparound)
static CYTHON_INLINE int __Pyx_PyObject_SetSlice(
        PyObject* obj, PyObject* value, Py_ssize_t cstart, Py_ssize_t cstop,
        PyObject** py_start, PyObject** py_stop, PyObject** py_slice,
        int has_cstart, int has_cstop, int wraparound);
 
/* DefaultPlacementNew.proto */
#include <new>
template<typename T>
void __Pyx_default_placement_construct(T* x) {
    new (static_cast<void*>(x)) T();
}
 
/* AllocateExtensionType.proto */
static PyObject *__Pyx_AllocateExtensionType(PyTypeObject *t, int is_final);
 
/* CallSlotAsVectorcall.proto */
#if CYTHON_VECTORCALL_TPNEW
typedef PyObject * (*__Pyx_tpnewvectorcallfunc)(PyTypeObject* o, PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames);
static PyObject * __Pyx_CallTpnewAsVectorcall(__Pyx_tpnewvectorcallfunc f, PyTypeObject* o, PyObject *a, PyObject *k);
#endif
 
/* CallNewInitFromVectorcall.proto */
#if CYTHON_VECTORCALL_TPNEW
static PyObject *__Pyx_CallNewInitFromVectorcall(PyTypeObject *t, PyObject *const *args, size_t nargsf, PyObject *kwnames);
#endif
 
/* CallTypeTraverse.proto */
#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
 
/* DeallocKeepAlive.proto */
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
#define __Pyx_DeallocKeepAliveBegin(o) do {\
        _Py_atomic_store_uintptr_relaxed(&(o)->ob_tid, _Py_ThreadId());\
        _Py_atomic_store_uint32_relaxed(&(o)->ob_ref_local, 1);\
        _Py_atomic_store_ssize_relaxed(&(o)->ob_ref_shared, 0);\
    } while (0)
#define __Pyx_DeallocKeepAliveEnd(o)\
        _Py_atomic_store_uint32_relaxed(&(o)->ob_ref_local, 0)
#else
#define __Pyx_DeallocKeepAliveBegin(o) Py_SET_REFCNT(o, Py_REFCNT(o) + 1)
#define __Pyx_DeallocKeepAliveEnd(o)   Py_SET_REFCNT(o, Py_REFCNT(o) - 1)
#endif
 
/* CallSlotAsVectorcall.proto */
#if CYTHON_VECTORCALL_TPNEW
typedef int (*__Pyx_tpinitvectorcallfunc)(PyObject* o, PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames);
static int __Pyx_CallTpinitAsVectorcall(__Pyx_tpinitvectorcallfunc f, PyObject* o, PyObject *a, PyObject *k);
#endif
 
/* PyObjectCallMethod0.proto (used by PyType_Ready) */
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethod0(PyObject* obj, PyObject* method_name);
 
/* GetTypeDictOffset.proto (used by ValidateBasesTuple) */
#if !CYTHON_USE_TYPE_SLOTS
CYTHON_UNUSED static Py_ssize_t __Pyx_GetTypeDictOffset(PyObject *tp, int require_cython_valid_result);
#endif
 
/* ValidateBasesTuple.proto (used by PyType_Ready) */
#if CYTHON_COMPILING_IN_CPYTHON || CYTHON_COMPILING_IN_LIMITED_API || CYTHON_USE_TYPE_SPECS
static int __Pyx_validate_bases_tuple(const char *type_name, int has_dictoffset, PyObject *bases);
#endif
 
/* PyType_Ready.export */
CYTHON_UNUSED static int __Pyx_PyType_Ready(PyTypeObject *t);
 
/* LimitedApiGetTypeTypeDict.proto (used by DelItemOnTypeDict) */
#if CYTHON_COMPILING_IN_LIMITED_API
static PyObject *__Pyx_GetTypeTypeDict(PyTypeObject *tp);
#endif
 
/* DelItemOnTypeDict.proto (used by SetupReduce) */
#define __Pyx_DelItemOnTypeDict(tp, k) __Pyx__DelItemOnTypeDict((PyTypeObject*)tp, k)
 
/* DelItemOnTypeDict.export */
static int __Pyx__DelItemOnTypeDict(PyTypeObject *tp, PyObject *k);
 
/* SetItemOnTypeDict.proto (used by SetupReduce) */
#define __Pyx_SetItemOnTypeDict(tp, k, v) __Pyx__SetItemOnTypeDict((PyTypeObject*)tp, k, v)
 
/* SetItemOnTypeDict.export */
static int __Pyx__SetItemOnTypeDict(PyTypeObject *tp, PyObject *k, PyObject *v);
 
/* SetupReduce.export */
static int __Pyx_setup_reduce(PyObject* type_obj);
 
/* ApplySequenceOrMappingFlag.proto */
#if CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_PYPY
int __Pyx_ApplySequenceOrMappingFlag(PyTypeObject *tp, int is_sequence);
#else
#define __Pyx_ApplySequenceOrMappingFlag(tp, is_sequence) (0)
#endif
 
/* GetVTable.proto (used by MergeVTables) */
static int __Pyx_GetVtable(PyTypeObject *type, void** table);
 
/* MergeVTables.proto (used by SetVTable) */
static int __Pyx_MergeVtables(PyTypeObject *type);
 
/* SetVTable.export */
static int __Pyx_SetVtable(PyTypeObject* typeptr , void* vtable);
 
/* 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
 
/* 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
 
/* 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);
 
/* 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);
 
/* MemviewDtypeToObject.proto */
static CYTHON_INLINE PyObject *__pyx_memview_get_double(const char *itemp);
static CYTHON_INLINE int __pyx_memview_set_double(char *itemp, PyObject *obj);
 
/* RealImag.proto */
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    #define __Pyx_CREAL(z) ((z).real())
    #define __Pyx_CIMAG(z) ((z).imag())
  #else
    #define __Pyx_CREAL(z) (__real__(z))
    #define __Pyx_CIMAG(z) (__imag__(z))
  #endif
#else
    #define __Pyx_CREAL(z) ((z).real)
    #define __Pyx_CIMAG(z) ((z).imag)
#endif
#if defined(__cplusplus) && CYTHON_CCOMPLEX\
        && (defined(_WIN32) || defined(__clang__) || (defined(__GNUC__) && (__GNUC__ >= 5 || __GNUC__ == 4 && __GNUC_MINOR__ >= 4 )) || __cplusplus >= 201103)
    #define __Pyx_SET_CREAL(z,x) ((z).real(x))
    #define __Pyx_SET_CIMAG(z,y) ((z).imag(y))
#else
    #define __Pyx_SET_CREAL(z,x) __Pyx_CREAL(z) = (x)
    #define __Pyx_SET_CIMAG(z,y) __Pyx_CIMAG(z) = (y)
#endif
 
/* Arithmetic.proto */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
    #define __Pyx_c_eq_float(a, b)   ((a)==(b))
    #define __Pyx_c_sum_float(a, b)  ((a)+(b))
    #define __Pyx_c_diff_float(a, b) ((a)-(b))
    #define __Pyx_c_prod_float(a, b) ((a)*(b))
    #define __Pyx_c_quot_float(a, b) ((a)/(b))
    #define __Pyx_c_neg_float(a)     (-(a))
  #ifdef __cplusplus
    #define __Pyx_c_is_zero_float(z) ((z)==(float)0)
    #define __Pyx_c_conj_float(z)    (::std::conj(z))
    #if 1
        #define __Pyx_c_abs_float(z)     (::std::abs(z))
        #define __Pyx_c_pow_float(a, b)  (::std::pow(a, b))
    #endif
  #else
    #define __Pyx_c_is_zero_float(z) ((z)==0)
    #define __Pyx_c_conj_float(z)    (conjf(z))
    #if 1
        #define __Pyx_c_abs_float(z)     (cabsf(z))
        #define __Pyx_c_pow_float(a, b)  (cpowf(a, b))
    #endif
 #endif
#else
    static CYTHON_INLINE int __Pyx_c_eq_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sum_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_diff_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prod_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_neg_float(__pyx_t_float_complex);
    static CYTHON_INLINE int __Pyx_c_is_zero_float(__pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conj_float(__pyx_t_float_complex);
    #if 1
        static CYTHON_INLINE float __Pyx_c_abs_float(__pyx_t_float_complex);
        static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_pow_float(__pyx_t_float_complex, __pyx_t_float_complex);
    #endif
#endif
 
/* Arithmetic.proto */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
    #define __Pyx_c_eq_double(a, b)   ((a)==(b))
    #define __Pyx_c_sum_double(a, b)  ((a)+(b))
    #define __Pyx_c_diff_double(a, b) ((a)-(b))
    #define __Pyx_c_prod_double(a, b) ((a)*(b))
    #define __Pyx_c_quot_double(a, b) ((a)/(b))
    #define __Pyx_c_neg_double(a)     (-(a))
  #ifdef __cplusplus
    #define __Pyx_c_is_zero_double(z) ((z)==(double)0)
    #define __Pyx_c_conj_double(z)    (::std::conj(z))
    #if 1
        #define __Pyx_c_abs_double(z)     (::std::abs(z))
        #define __Pyx_c_pow_double(a, b)  (::std::pow(a, b))
    #endif
  #else
    #define __Pyx_c_is_zero_double(z) ((z)==0)
    #define __Pyx_c_conj_double(z)    (conj(z))
    #if 1
        #define __Pyx_c_abs_double(z)     (cabs(z))
        #define __Pyx_c_pow_double(a, b)  (cpow(a, b))
    #endif
 #endif
#else
    static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex);
    static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex);
    #if 1
        static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex);
        static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex, __pyx_t_double_complex);
    #endif
#endif
 
/* Arithmetic.proto */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
    #define __Pyx_c_eq_long__double(a, b)   ((a)==(b))
    #define __Pyx_c_sum_long__double(a, b)  ((a)+(b))
    #define __Pyx_c_diff_long__double(a, b) ((a)-(b))
    #define __Pyx_c_prod_long__double(a, b) ((a)*(b))
    #define __Pyx_c_quot_long__double(a, b) ((a)/(b))
    #define __Pyx_c_neg_long__double(a)     (-(a))
  #ifdef __cplusplus
    #define __Pyx_c_is_zero_long__double(z) ((z)==(long double)0)
    #define __Pyx_c_conj_long__double(z)    (::std::conj(z))
    #if 1
        #define __Pyx_c_abs_long__double(z)     (::std::abs(z))
        #define __Pyx_c_pow_long__double(a, b)  (::std::pow(a, b))
    #endif
  #else
    #define __Pyx_c_is_zero_long__double(z) ((z)==0)
    #define __Pyx_c_conj_long__double(z)    (conjl(z))
    #if 1
        #define __Pyx_c_abs_long__double(z)     (cabsl(z))
        #define __Pyx_c_pow_long__double(a, b)  (cpowl(a, b))
    #endif
 #endif
#else
    static CYTHON_INLINE int __Pyx_c_eq_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex);
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_sum_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex);
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_diff_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex);
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_prod_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex);
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_quot_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex);
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_neg_long__double(__pyx_t_long_double_complex);
    static CYTHON_INLINE int __Pyx_c_is_zero_long__double(__pyx_t_long_double_complex);
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_conj_long__double(__pyx_t_long_double_complex);
    #if 1
        static CYTHON_INLINE long double __Pyx_c_abs_long__double(__pyx_t_long_double_complex);
        static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_pow_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex);
    #endif
#endif
 
/* BufferStructDeclare.proto */
typedef struct {
  Py_ssize_t shape, strides, suboffsets;
} __Pyx_Buf_DimInfo;
typedef struct {
  size_t refcount;
  Py_buffer pybuffer;
} __Pyx_Buffer;
typedef struct {
  __Pyx_Buffer *rcbuffer;
  char *data;
  __Pyx_Buf_DimInfo diminfo[8];
} __Pyx_LocalBuf_ND;
 
/* MemviewRefcount.proto */
static CYTHON_INLINE int __pyx_add_acquisition_count_locked(
    __pyx_atomic_int_type *acquisition_count, PyThread_type_lock lock);
static CYTHON_INLINE int __pyx_sub_acquisition_count_locked(
    __pyx_atomic_int_type *acquisition_count, PyThread_type_lock lock);
#define __pyx_get_slice_count_pointer(memview) (&memview->acquisition_count)
#define __PYX_INC_MEMVIEW(slice, have_gil) __Pyx_INC_MEMVIEW(slice, have_gil, __LINE__)
#define __PYX_XCLEAR_MEMVIEW(slice, have_gil) __Pyx_XCLEAR_MEMVIEW(slice, have_gil, __LINE__)
static CYTHON_INLINE void __Pyx_INC_MEMVIEW(__Pyx_memviewslice *, int, int);
static CYTHON_INLINE void __Pyx_XCLEAR_MEMVIEW(__Pyx_memviewslice *, int, int);
 
/* MemviewSliceIsContig.proto */
static int __pyx_memviewslice_is_contig(const __Pyx_memviewslice mvs, char order, int ndim);
 
/* OverlappingSlices.proto */
static int __pyx_slices_overlap(__Pyx_memviewslice *slice1,
                                __Pyx_memviewslice *slice2,
                                int ndim, size_t itemsize);
 
/* MemviewSliceInit.proto */
static int __Pyx_init_memviewslice(
                struct __pyx_memoryview_obj *memview,
                int ndim,
                __Pyx_memviewslice *memviewslice,
                int memview_is_new_reference);
 
/* SliceMemoryviewSlice.proto */
static CYTHON_INLINE int __pyx_memoryview_slice_memviewslice(
        __Pyx_memviewslice *dst,
        Py_ssize_t shape, Py_ssize_t stride, Py_ssize_t suboffset,
        int dim, int new_ndim, int *suboffset_dim,
        Py_ssize_t start, Py_ssize_t stop, Py_ssize_t step,
        int have_start, int have_stop, int have_step,
        int is_slice);
 
/* CIntFromPy.proto */
static CYTHON_INLINE int __Pyx_PyLong_As_int(PyObject *);
 
/* PyObjectVectorcallKwds.proto (used by PyObjectVectorcallMethodKwds) */
#if CYTHON_VECTORCALL
#define __Pyx_Object_VectorcallKwds PyObject_Vectorcall
CYTHON_UNUSED static int __Pyx_CheckVectorcallKwarg(PyObject *kwnames, Py_ssize_t i);
#else
#define __Pyx_Object_VectorcallKwds __Pyx_PyObject_FastCallDict
CYTHON_UNUSED static PyObject *__Pyx_MakeKwargDict(PyObject **keys, PyObject **values, Py_ssize_t n);
CYTHON_UNUSED static int __Pyx_CheckVectorcallKwarg(PyObject **kwnames, Py_ssize_t i);
#endif
 
/* PyObjectVectorcallMethodKwds.proto (used by CIntToPy) */
#if CYTHON_VECTORCALL
#define __Pyx_Object_VectorcallMethodKwds PyObject_VectorcallMethod
#else
static PyObject *__Pyx_Object_VectorcallMethodKwds(PyObject *name, PyObject *const *args, size_t nargsf, PyObject *kwnames);
#endif
 
/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyLong_From_int(int value);
 
/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyLong_From_long(long value);
 
/* TypeInfoToFormat.proto */
struct __pyx_typeinfo_string {
    char string[3];
};
static struct __pyx_typeinfo_string __Pyx_TypeInfoToFormat(const __Pyx_TypeInfo *type);
 
/* MemviewSliceCopy.proto */
static __Pyx_memviewslice
__pyx_memoryview_copy_new_contig(const __Pyx_memviewslice *from_mvs,
                                 const char *mode, int ndim,
                                 Py_ssize_t sizeof_dtype, int contig_flag,
                                 int dtype_is_object);
 
/* UpdateUnpickledDict.export */
static int __Pyx_UpdateUnpickledDict(PyObject *obj, PyObject *state, Py_ssize_t index);
 
/* CheckUnpickleChecksumError.export */
static void __Pyx_RaiseUnpickleChecksumError(long checksum, long checksum1, long checksum2, long checksum3, const char *members);
 
/* CheckUnpickleChecksum.proto */
static CYTHON_INLINE int __Pyx_CheckUnpickleChecksum(long checksum, long checksum1, long checksum2, long checksum3, const char *members);
 
/* CIntFromPy.proto */
static CYTHON_INLINE long __Pyx_PyLong_As_long(PyObject *);
 
/* CIntFromPy.proto */
static CYTHON_INLINE char __Pyx_PyLong_As_char(PyObject *);
 
/* GetRuntimeVersion.proto */
#if __PYX_LIMITED_VERSION_HEX < 0x030b0000
static unsigned long __Pyx_cached_runtime_version = 0;
static void __Pyx_init_runtime_version(void);
#else
#define __Pyx_init_runtime_version()
#endif
static unsigned long __Pyx_get_runtime_version(void);
 
/* CheckBinaryVersion.proto */
static int __Pyx_check_binary_version(unsigned long ct_version, unsigned long rt_version, int allow_newer);
 
/* DecompressString.proto */
static PyObject *__Pyx_DecompressString(const char *s, Py_ssize_t length, int algo);
 
/* DecompressString_LZSS.proto */
static PyObject *__Pyx_DecompressString_LZSS(const char *s, size_t compressed_length, size_t uncompressed_length);
 
/* MultiPhaseInitModuleState.proto */
#if CYTHON_PEP489_MULTI_PHASE_INIT && CYTHON_USE_MODULE_STATE
#include <stdlib.h>
static PyObject *__Pyx_State_FindModule(void*);
static int __Pyx_State_AddModule(PyObject* module, void*);
static int __Pyx_State_RemoveModule(void*);
#elif CYTHON_USE_MODULE_STATE
#define __Pyx_State_FindModule PyState_FindModule
#define __Pyx_State_AddModule PyState_AddModule
#define __Pyx_State_RemoveModule PyState_RemoveModule
#endif
 
/* #### Code section: module_declarations ### */
/* CythonABIVersion.proto */
#if CYTHON_COMPILING_IN_LIMITED_API
    #if CYTHON_VECTORCALL
        #define __PYX_VECTORCALL_ABI_SUFFIX  "_vectorcall"
    #else
        #define __PYX_VECTORCALL_ABI_SUFFIX
    #endif
    #define __PYX_LIMITED_ABI_SUFFIX "limited" __PYX_VECTORCALL_ABI_SUFFIX __PYX_AM_SEND_ABI_SUFFIX
#else
    #define __PYX_LIMITED_ABI_SUFFIX
#endif
#if __PYX_HAS_PY_AM_SEND == 1
    #define __PYX_AM_SEND_ABI_SUFFIX
#elif __PYX_HAS_PY_AM_SEND == 2
    #define __PYX_AM_SEND_ABI_SUFFIX "amsendbackport"
#else
    #define __PYX_AM_SEND_ABI_SUFFIX "noamsend"
#endif
#ifndef __PYX_MONITORING_ABI_SUFFIX
    #define __PYX_MONITORING_ABI_SUFFIX
#endif
#if CYTHON_USE_TP_FINALIZE
    #define __PYX_TP_FINALIZE_ABI_SUFFIX
#else
    #define __PYX_TP_FINALIZE_ABI_SUFFIX "nofinalize"
#endif
#if CYTHON_USE_FREELISTS || !defined(__Pyx_AsyncGen_USED)
    #define __PYX_FREELISTS_ABI_SUFFIX
#else
    #define __PYX_FREELISTS_ABI_SUFFIX "nofreelists"
#endif
#if CYTHON_OPAQUE_OBJECTS && CYTHON_COMPILING_IN_LIMITED_API
    #define __PYX_OPAQUE_OBJECTS_ABI_SUFFIX "opaque"
#else
    #define __PYX_OPAQUE_OBJECTS_ABI_SUFFIX
#endif
#define CYTHON_ABI  __PYX_ABI_VERSION __PYX_LIMITED_ABI_SUFFIX __PYX_MONITORING_ABI_SUFFIX __PYX_TP_FINALIZE_ABI_SUFFIX __PYX_FREELISTS_ABI_SUFFIX __PYX_AM_SEND_ABI_SUFFIX __PYX_OPAQUE_OBJECTS_ABI_SUFFIX
#define __PYX_ABI_MODULE_NAME "_cython_" CYTHON_ABI
#define __PYX_TYPE_MODULE_PREFIX __PYX_ABI_MODULE_NAME "."
 
static PyObject *__pyx_array_get_memview(struct __pyx_array_obj *__pyx_v_self); /* proto*/
static char *__pyx_memoryview_get_item_pointer(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index); /* proto*/
static PyObject *__pyx_memoryview_is_slice(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_obj); /* proto*/
static PyObject *__pyx_memoryview_setitem_slice_assignment(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_dst, PyObject *__pyx_v_src); /* proto*/
static PyObject *__pyx_memoryview_setitem_slice_assign_scalar(struct __pyx_memoryview_obj *__pyx_v_self, struct __pyx_memoryview_obj *__pyx_v_dst, PyObject *__pyx_v_value); /* proto*/
static PyObject *__pyx_memoryview_setitem_indexed(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_indices, PyObject *__pyx_v_value); /* proto*/
static PyObject *__pyx_memoryview_setitem_indexed1(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index, PyObject *__pyx_v_value); /* proto*/
static PyObject *__pyx_memoryview_convert_item_to_object(struct __pyx_memoryview_obj *__pyx_v_self, char *__pyx_v_itemp); /* proto*/
static PyObject *__pyx_memoryview_assign_item_from_object(struct __pyx_memoryview_obj *__pyx_v_self, char *__pyx_v_itemp, PyObject *__pyx_v_value); /* proto*/
static PyObject *__pyx_memoryview__get_base(struct __pyx_memoryview_obj *__pyx_v_self); /* proto*/
static PyObject *__pyx_memoryviewslice_convert_item_to_object(struct __pyx_memoryviewslice_obj *__pyx_v_self, char *__pyx_v_itemp); /* proto*/
static PyObject *__pyx_memoryviewslice_assign_item_from_object(struct __pyx_memoryviewslice_obj *__pyx_v_self, char *__pyx_v_itemp, PyObject *__pyx_v_value); /* proto*/
static PyObject *__pyx_memoryviewslice__get_base(struct __pyx_memoryviewslice_obj *__pyx_v_self); /* proto*/
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 "libcpp" */
 
/* 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 "equivalent_polynomials" */
static PyObject *__pyx_collections_abc_Sequence = 0;
static PyObject *generic = 0;
static PyObject *strided = 0;
static PyObject *indirect = 0;
static PyObject *contiguous = 0;
static PyObject *indirect_contiguous = 0;
static int __pyx_memoryview_thread_locks_used;
static PyThread_type_lock __pyx_memoryview_thread_locks[8];
static int __pyx_array_allocate_buffer(struct __pyx_array_obj *); /*proto*/
static struct __pyx_array_obj *__pyx_array_new(PyObject *, Py_ssize_t, char *, char const *, char *); /*proto*/
static PyObject *__pyx_memoryview_new(PyObject *, int, int, __Pyx_TypeInfo const *); /*proto*/
static CYTHON_INLINE int __pyx_memoryview_check(PyObject *); /*proto*/
static int __pyx_memoryview_err_invalid_index(PyObject *); /*proto*/
static PyObject *_unellipsify_index_tuple(PyObject *, int); /*proto*/
static PyObject *_unellipsify(PyObject *, int); /*proto*/
static int assert_direct_dimensions(Py_ssize_t *, int); /*proto*/
static struct __pyx_memoryview_obj *__pyx_memview_slice(struct __pyx_memoryview_obj *, PyObject *); /*proto*/
static char *__pyx_pybuffer_index(Py_buffer *, char *, Py_ssize_t, Py_ssize_t); /*proto*/
static int __pyx_memslice_transpose(__Pyx_memviewslice *); /*proto*/
static PyObject *__pyx_memoryview_fromslice(__Pyx_memviewslice, int, PyObject *(*)(char *), __pyx_memoryview_to_dtype_func_type, int); /*proto*/
static __Pyx_memviewslice *__pyx_memoryview_get_slice_from_memoryview(struct __pyx_memoryview_obj *, __Pyx_memviewslice *); /*proto*/
static void __pyx_memoryview_slice_copy(struct __pyx_memoryview_obj *, __Pyx_memviewslice *); /*proto*/
static PyObject *__pyx_memoryview_copy_object(struct __pyx_memoryview_obj *); /*proto*/
static PyObject *__pyx_memoryview_copy_object_from_slice(struct __pyx_memoryview_obj *, __Pyx_memviewslice *); /*proto*/
static Py_ssize_t abs_py_ssize_t(Py_ssize_t); /*proto*/
static char __pyx_get_best_slice_order(__Pyx_memviewslice *, int); /*proto*/
static void _copy_strided_to_strided(char *, Py_ssize_t *, char *, Py_ssize_t *, Py_ssize_t *, Py_ssize_t *, int, size_t); /*proto*/
static void copy_strided_to_strided(__Pyx_memviewslice *, __Pyx_memviewslice *, int, size_t); /*proto*/
static size_t __pyx_memoryview_slice_get_size(__Pyx_memviewslice *, int); /*proto*/
static Py_ssize_t __pyx_fill_contig_strides_array(Py_ssize_t *, Py_ssize_t *, Py_ssize_t, int, char); /*proto*/
static void *__pyx_memoryview_copy_data_to_temp(__Pyx_memviewslice *, __Pyx_memviewslice *, char, int); /*proto*/
static int __pyx_memoryview_err_extents(int, Py_ssize_t, Py_ssize_t); /*proto*/
static int __pyx_memoryview_err_dim(PyObject *, char const *, int); /*proto*/
static int __pyx_memoryview_err(PyObject *, char const *); /*proto*/
static int __pyx_memoryview_err_no_memory(void); /*proto*/
static int __pyx_memoryview_err_ValueError(char const *); /*proto*/
static int __pyx_memoryview_err_IndexError(char const *, Py_ssize_t); /*proto*/
static int __pyx_memoryview_copy_contents(__Pyx_memviewslice, __Pyx_memviewslice, int, int, int); /*proto*/
static void __pyx_memoryview_broadcast_leading(__Pyx_memviewslice *, int, int); /*proto*/
static void __pyx_memoryview_refcount_copying(__Pyx_memviewslice *, int, int, int); /*proto*/
static void __pyx_memoryview_refcount_objects_in_slice_with_gil(char *, Py_ssize_t *, Py_ssize_t *, int, int); /*proto*/
static void __pyx_memoryview_refcount_objects_in_slice(char *, Py_ssize_t *, Py_ssize_t *, int, int); /*proto*/
static void __pyx_memoryview_slice_assign_scalar(__Pyx_memviewslice *, int, size_t, void *, int); /*proto*/
static void __pyx_memoryview__slice_assign_scalar(char *, Py_ssize_t *, Py_ssize_t *, int, size_t, void *); /*proto*/
static PyObject *__pyx_unpickle_Enum__set_state(struct __pyx_MemviewEnum_obj *, PyObject *); /*proto*/
static PyObject *__pyx_format_from_typeinfo(__Pyx_TypeInfo const *); /*proto*/
/* #### Code section: typeinfo ### */
static const __Pyx_TypeInfo __Pyx_TypeInfo_double = { "double", NULL, sizeof(double), { 0 }, 0, 'R', 0, 0 };
/* #### Code section: before_global_var ### */
#define __Pyx_MODULE_NAME "equivalent_polynomials"
extern int __pyx_module_is_main_equivalent_polynomials;
int __pyx_module_is_main_equivalent_polynomials = 0;
 
/* Implementation of "equivalent_polynomials" */
/* #### Code section: global_var ### */
static PyObject *__pyx_builtin___import__;
static PyObject *__pyx_builtin_enumerate;
static PyObject *__pyx_builtin_Ellipsis;
static PyObject *__pyx_builtin_id;
/* #### Code section: string_decls ### */
static const char __pyx_k_c[] = "c";
static const char __pyx_k_name[] = "name";
static const char __pyx_k_fortran[] = "fortran";
static const char __pyx_k_Dimension_d_is_not_direct[] = "Dimension %d is not direct";
static const char __pyx_k_Cannot_index_with_type_200U[] = "Cannot index with type \047%.200U\047";
static const char __pyx_k_itemsize_0_for_cython_array[] = "itemsize <= 0 for cython.array";
static const char __pyx_k_Buffer_view_does_not_expose_stri[] = "Buffer view does not expose strides";
static const char __pyx_k_Can_only_create_a_buffer_that_is[] = "Can only create a buffer that is contiguous in memory.";
static const char __pyx_k_Cannot_create_writable_memory_vi[] = "Cannot create writable memory view from read-only memoryview";
static const char __pyx_k_Cannot_transpose_memoryview_with[] = "Cannot transpose memoryview with indirect dimensions";
static const char __pyx_k_Empty_shape_tuple_for_cython_arr[] = "Empty shape tuple for cython.array";
static const char __pyx_k_Indirect_dimensions_not_supporte[] = "Indirect dimensions not supported";
static const char __pyx_k_Out_of_bounds_on_buffer_access_a[] = "Out of bounds on buffer access (axis %zd)";
static const char __pyx_k_Unable_to_convert_item_to_object[] = "Unable to convert item to object";
static const char __pyx_k_got_differing_extents_in_dimensi[] = "got differing extents in dimension %d (got %zd and %zd)";
/* #### Code section: decls ### */
static int __pyx_array___pyx_pf_15View_dot_MemoryView_5array___cinit__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_shape, Py_ssize_t __pyx_v_itemsize, PyObject *__pyx_v_format, PyObject *__pyx_v_mode, int __pyx_v_allocate_buffer); /* proto */
static int __pyx_array___pyx_pf_15View_dot_MemoryView_5array_2__getbuffer__(struct __pyx_array_obj *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */
static void __pyx_array___pyx_pf_15View_dot_MemoryView_5array_4__dealloc__(struct __pyx_array_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_5array_7memview___get__(struct __pyx_array_obj *__pyx_v_self); /* proto */
static Py_ssize_t __pyx_array___pyx_pf_15View_dot_MemoryView_5array_6__len__(struct __pyx_array_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_array___pyx_pf_15View_dot_MemoryView_5array_8__getattr__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_attr); /* proto */
static PyObject *__pyx_array___pyx_pf_15View_dot_MemoryView_5array_10__getitem__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_item); /* proto */
static int __pyx_array___pyx_pf_15View_dot_MemoryView_5array_12__setitem__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_item, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf___pyx_array___reduce_cython__(CYTHON_UNUSED struct __pyx_array_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_array_2__setstate_cython__(CYTHON_UNUSED struct __pyx_array_obj *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_MemviewEnum___pyx_pf_15View_dot_MemoryView_4Enum___init__(struct __pyx_MemviewEnum_obj *__pyx_v_self, PyObject *__pyx_v_name); /* proto */
static PyObject *__pyx_MemviewEnum___pyx_pf_15View_dot_MemoryView_4Enum_2__repr__(struct __pyx_MemviewEnum_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_MemviewEnum___reduce_cython__(struct __pyx_MemviewEnum_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_MemviewEnum_2__setstate_cython__(struct __pyx_MemviewEnum_obj *__pyx_v_self, PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview___cinit__(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_obj, int __pyx_v_flags, int __pyx_v_dtype_is_object); /* proto */
static void __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_2__dealloc__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_4__getitem__(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index); /* proto */
static int __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_6__setitem__(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index, PyObject *__pyx_v_value); /* proto */
static int __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_8__getbuffer__(struct __pyx_memoryview_obj *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_1T___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_4base___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_5shape___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_7strides___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_10suboffsets___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_4ndim___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_8itemsize___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_6nbytes___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_4size___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static Py_ssize_t __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_10__len__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_12__repr__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_14__str__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_16is_c_contig(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_18is_f_contig(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_20copy(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_22copy_fortran(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_memoryview___reduce_cython__(CYTHON_UNUSED struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_memoryview_2__setstate_cython__(CYTHON_UNUSED struct __pyx_memoryview_obj *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static void __pyx_memoryviewslice___pyx_pf_15View_dot_MemoryView_16_memoryviewslice___dealloc__(struct __pyx_memoryviewslice_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_memoryviewslice___reduce_cython__(CYTHON_UNUSED struct __pyx_memoryviewslice_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_memoryviewslice_2__setstate_cython__(CYTHON_UNUSED struct __pyx_memoryviewslice_obj *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView___pyx_unpickle_Enum(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v___pyx_type, long __pyx_v___pyx_checksum, PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_22equivalent_polynomials_7Simplex___cinit__(struct __pyx_obj_22equivalent_polynomials_Simplex *__pyx_v_self, PyObject *__pyx_v_nSpace, PyObject *__pyx_v_nP, PyObject *__pyx_v_nQ); /* proto */
static PyObject *__pyx_pf_22equivalent_polynomials_7Simplex_2calculate(struct __pyx_obj_22equivalent_polynomials_Simplex *__pyx_v_self, PyArrayObject *__pyx_v_phi_dof, PyArrayObject *__pyx_v_phi_nodes, PyArrayObject *__pyx_v_xi); /* proto */
static PyObject *__pyx_pf_22equivalent_polynomials_7Simplex_4set_quad(struct __pyx_obj_22equivalent_polynomials_Simplex *__pyx_v_self, int __pyx_v_q); /* proto */
static PyObject *__pyx_pf_22equivalent_polynomials_7Simplex_1H___get__(struct __pyx_obj_22equivalent_polynomials_Simplex *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_22equivalent_polynomials_7Simplex_3ImH___get__(struct __pyx_obj_22equivalent_polynomials_Simplex *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_22equivalent_polynomials_7Simplex_1D___get__(struct __pyx_obj_22equivalent_polynomials_Simplex *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_22equivalent_polynomials_7Simplex_6__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_22equivalent_polynomials_Simplex *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_22equivalent_polynomials_7Simplex_8__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_22equivalent_polynomials_Simplex *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_22equivalent_polynomials_calc_edge_H(CYTHON_UNUSED PyObject *__pyx_self, double __pyx_v_phi0, double __pyx_v_phi1, int __pyx_v_nP); /* proto */
static PyObject *__pyx_pf_22equivalent_polynomials_2eval_edge_poly(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_C, double __pyx_v_t, int __pyx_v_nP); /* proto */
static PyObject *__pyx_tp_new__initialisation_22equivalent_polynomials_Simplex(PyObject *o, 
#if CYTHON_VECTORCALL_TPNEW
    PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames
#else
    PyObject *a, PyObject *k
#endif
); /*proto*/
static PyObject *__pyx_tp_new_vectorcall_22equivalent_polynomials_Simplex(PyTypeObject *t, 
#if CYTHON_VECTORCALL_TPNEW
    PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames
#else
    PyObject *a, PyObject *k
#endif
); /*proto*/
#if CYTHON_VECTORCALL_TPNEW
static PyObject *__pyx_tp_new_22equivalent_polynomials_Simplex(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
#endif
#if !CYTHON_VECTORCALL_TPNEW
#define __pyx_tp_new_22equivalent_polynomials_Simplex __pyx_tp_new_vectorcall_22equivalent_polynomials_Simplex
#endif
#if CYTHON_VECTORCALL_TPNEW
static PyObject *__pyx_tp_vectorcall_22equivalent_polynomials_Simplex(PyObject *t, PyObject *const *args, size_t nargsf, PyObject *kwnames); /*proto*/
#endif
static PyObject *__pyx_tp_new__initialisation_array(PyObject *o, 
#if CYTHON_VECTORCALL_TPNEW
    PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames
#else
    PyObject *a, PyObject *k
#endif
); /*proto*/
static PyObject *__pyx_tp_new_vectorcall_array(PyTypeObject *t, 
#if CYTHON_VECTORCALL_TPNEW
    PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames
#else
    PyObject *a, PyObject *k
#endif
); /*proto*/
#if CYTHON_VECTORCALL_TPNEW
static PyObject *__pyx_tp_new_array(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
#endif
#if !CYTHON_VECTORCALL_TPNEW
#define __pyx_tp_new_array __pyx_tp_new_vectorcall_array
#endif
#if CYTHON_VECTORCALL_TPNEW
static PyObject *__pyx_tp_vectorcall_array(PyObject *t, PyObject *const *args, size_t nargsf, PyObject *kwnames); /*proto*/
#endif
static PyObject *__pyx_tp_new__initialisation_Enum(PyObject *o, 
#if CYTHON_VECTORCALL_TPNEW
    PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames
#else
    PyObject *a, PyObject *k
#endif
); /*proto*/
static PyObject *__pyx_tp_new_vectorcall_Enum(PyTypeObject *t, 
#if CYTHON_VECTORCALL_TPNEW
    PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames
#else
    PyObject *a, PyObject *k
#endif
); /*proto*/
#if CYTHON_VECTORCALL_TPNEW
static PyObject *__pyx_tp_new_Enum(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
#endif
#if !CYTHON_VECTORCALL_TPNEW
#define __pyx_tp_new_Enum __pyx_tp_new_vectorcall_Enum
#endif
#if CYTHON_VECTORCALL_TPNEW
static PyObject *__pyx_tp_vectorcall_Enum(PyObject *t, PyObject *const *args, size_t nargsf, PyObject *kwnames); /*proto*/
#endif
#if CYTHON_VECTORCALL_TPNEW
static int __pyx_tp_init_Enum(PyObject *o, PyObject *args, PyObject *kwds); /*proto*/
#endif
#if !CYTHON_VECTORCALL_TPNEW
#define __pyx_tp_init_Enum __pyx_MemviewEnum___init__
#endif
static PyObject *__pyx_tp_new__initialisation_memoryview(PyObject *o, 
#if CYTHON_VECTORCALL_TPNEW
    PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames
#else
    PyObject *a, PyObject *k
#endif
); /*proto*/
static PyObject *__pyx_tp_new_vectorcall_memoryview(PyTypeObject *t, 
#if CYTHON_VECTORCALL_TPNEW
    PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames
#else
    PyObject *a, PyObject *k
#endif
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#if CYTHON_VECTORCALL_TPNEW
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#if CYTHON_VECTORCALL_TPNEW
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static PyObject *__pyx_tp_new__initialisation__memoryviewslice(PyObject *o, 
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#if CYTHON_VECTORCALL_TPNEW
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#elif defined(__GNUC__) && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 3))
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PyObject *__Pyx_PyFrozenDictType;
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/* CommonTypesMetaclass.module_state_decls */
PyTypeObject *__pyx_CommonTypesMetaclassType;
 
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PyObject *__Pyx_CachedMethodType;
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/* CythonFunctionPerModule.module_state_decls */
PyTypeObject *__pyx_CyFunctionType;
 
/* CodeObjectCache.module_state_decls */
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#if CYTHON_USE_MODULE_STATE
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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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#define __pyx_kp_u_object __pyx_string_tab[1]
#define __pyx_kp_u__9 __pyx_string_tab[2]
#define __pyx_kp_u_tree_fragment __pyx_string_tab[3]
#define __pyx_kp_u__11 __pyx_string_tab[4]
#define __pyx_kp_u__10 __pyx_string_tab[5]
#define __pyx_kp_u__3 __pyx_string_tab[6]
#define __pyx_kp_u__2 __pyx_string_tab[7]
#define __pyx_kp_u_MemoryView_of __pyx_string_tab[8]
#define __pyx_kp_u_contiguous_and_direct __pyx_string_tab[9]
#define __pyx_kp_u_contiguous_and_indirect __pyx_string_tab[10]
#define __pyx_kp_u_strided_and_direct_or_indirect __pyx_string_tab[11]
#define __pyx_kp_u_strided_and_direct __pyx_string_tab[12]
#define __pyx_kp_u_strided_and_indirect __pyx_string_tab[13]
#define __pyx_kp_u__4 __pyx_string_tab[14]
#define __pyx_kp_u_ __pyx_string_tab[15]
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#define __pyx_kp_u_Invalid_mode_expected_c_or_fortr __pyx_string_tab[17]
#define __pyx_kp_u_Invalid_shape_in_axis __pyx_string_tab[18]
#define __pyx_kp_u_Note_that_Cython_is_deliberately __pyx_string_tab[19]
#define __pyx_kp_u_add_note __pyx_string_tab[20]
#define __pyx_kp_u_collections_abc __pyx_string_tab[21]
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#define __pyx_kp_u_enable __pyx_string_tab[23]
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#define __pyx_kp_u_isenabled __pyx_string_tab[25]
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#define __pyx_kp_u_numpy__core_umath_failed_to_impo __pyx_string_tab[29]
#define __pyx_kp_u_proteus_equivalent_polynomials_p __pyx_string_tab[30]
#define __pyx_kp_u_unable_to_allocate_array_data __pyx_string_tab[31]
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#define __pyx_n_u_ASCII __pyx_string_tab[33]
#define __pyx_n_u_C __pyx_string_tab[34]
#define __pyx_n_u_C_H __pyx_string_tab[35]
#define __pyx_n_u_Ellipsis __pyx_string_tab[36]
#define __pyx_n_u_Sequence __pyx_string_tab[37]
#define __pyx_n_u_Simplex __pyx_string_tab[38]
#define __pyx_n_u_Simplex___reduce_cython __pyx_string_tab[39]
#define __pyx_n_u_Simplex___setstate_cython __pyx_string_tab[40]
#define __pyx_n_u_Simplex_calculate __pyx_string_tab[41]
#define __pyx_n_u_Simplex_set_quad __pyx_string_tab[42]
#define __pyx_n_u_View_MemoryView __pyx_string_tab[43]
#define __pyx_n_u_Pyx_PyDict_NextRef __pyx_string_tab[44]
#define __pyx_n_u_annotate __pyx_string_tab[45]
#define __pyx_n_u_class __pyx_string_tab[46]
#define __pyx_n_u_class_getitem __pyx_string_tab[47]
#define __pyx_n_u_dict __pyx_string_tab[48]
#define __pyx_n_u_func __pyx_string_tab[49]
#define __pyx_n_u_getstate __pyx_string_tab[50]
#define __pyx_n_u_import __pyx_string_tab[51]
#define __pyx_n_u_main __pyx_string_tab[52]
#define __pyx_n_u_module __pyx_string_tab[53]
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#define __pyx_n_u_pyx_checksum __pyx_string_tab[56]
#define __pyx_n_u_pyx_state __pyx_string_tab[57]
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#define __pyx_n_u_pyx_unpickle_Enum __pyx_string_tab[59]
#define __pyx_n_u_pyx_vtable __pyx_string_tab[60]
#define __pyx_n_u_qualname __pyx_string_tab[61]
#define __pyx_n_u_reduce __pyx_string_tab[62]
#define __pyx_n_u_reduce_cython __pyx_string_tab[63]
#define __pyx_n_u_reduce_ex __pyx_string_tab[64]
#define __pyx_n_u_set_name __pyx_string_tab[65]
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#define __pyx_n_u_setstate_cython __pyx_string_tab[67]
#define __pyx_n_u_test __pyx_string_tab[68]
#define __pyx_n_u_is_coroutine __pyx_string_tab[69]
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#define __pyx_n_u_asarray __pyx_string_tab[72]
#define __pyx_n_u_asyncio_coroutines __pyx_string_tab[73]
#define __pyx_n_u_base __pyx_string_tab[74]
#define __pyx_n_u_c __pyx_string_tab[75]
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#define __pyx_n_u_calculate __pyx_string_tab[77]
#define __pyx_n_u_cline_in_traceback __pyx_string_tab[78]
#define __pyx_n_u_count __pyx_string_tab[79]
#define __pyx_n_u_d __pyx_string_tab[80]
#define __pyx_n_u_dtype_is_object __pyx_string_tab[81]
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#define __pyx_n_u_enumerate __pyx_string_tab[83]
#define __pyx_n_u_equivalent_polynomials __pyx_string_tab[84]
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#define __pyx_n_u_format __pyx_string_tab[88]
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#define __pyx_n_u_itemsize __pyx_string_tab[94]
#define __pyx_n_u_join __pyx_string_tab[95]
#define __pyx_n_u_memview __pyx_string_tab[96]
#define __pyx_n_u_mode __pyx_string_tab[97]
#define __pyx_n_u_nP __pyx_string_tab[98]
#define __pyx_n_u_nQ __pyx_string_tab[99]
#define __pyx_n_u_nSpace __pyx_string_tab[100]
#define __pyx_n_u_name __pyx_string_tab[101]
#define __pyx_n_u_ndim __pyx_string_tab[102]
#define __pyx_n_u_np __pyx_string_tab[103]
#define __pyx_n_u_numpy __pyx_string_tab[104]
#define __pyx_n_u_obj __pyx_string_tab[105]
#define __pyx_n_u_pack __pyx_string_tab[106]
#define __pyx_n_u_phi0 __pyx_string_tab[107]
#define __pyx_n_u_phi1 __pyx_string_tab[108]
#define __pyx_n_u_phi_dof __pyx_string_tab[109]
#define __pyx_n_u_phi_nodes __pyx_string_tab[110]
#define __pyx_n_u_pop __pyx_string_tab[111]
#define __pyx_n_u_q __pyx_string_tab[112]
#define __pyx_n_u_register __pyx_string_tab[113]
#define __pyx_n_u_self __pyx_string_tab[114]
#define __pyx_n_u_set_quad __pyx_string_tab[115]
#define __pyx_n_u_setdefault __pyx_string_tab[116]
#define __pyx_n_u_shape __pyx_string_tab[117]
#define __pyx_n_u_size __pyx_string_tab[118]
#define __pyx_n_u_start __pyx_string_tab[119]
#define __pyx_n_u_step __pyx_string_tab[120]
#define __pyx_n_u_stop __pyx_string_tab[121]
#define __pyx_n_u_struct __pyx_string_tab[122]
#define __pyx_n_u_t __pyx_string_tab[123]
#define __pyx_n_u_unpack __pyx_string_tab[124]
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#define __pyx_n_u_values __pyx_string_tab[126]
#define __pyx_n_u_x __pyx_string_tab[127]
#define __pyx_n_u_xi __pyx_string_tab[128]
#define __pyx_n_u_zeros __pyx_string_tab[129]
#define __pyx_kp_b__6 __pyx_string_tab[130]
#define __pyx_kp_b__7 __pyx_string_tab[131]
#define __pyx_n_b_O __pyx_string_tab[132]
#define __pyx_kp_b_T __pyx_string_tab[133]
#define __pyx_kp_b__5 __pyx_string_tab[134]
#define __pyx_kp_b__8 __pyx_string_tab[135]
#define __pyx_kp_b_iso88591_s_U_vQiq_q_Cs_vQiq_q_Cs_vQiq_q __pyx_string_tab[136]
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#define __pyx_kp_b_iso88591_F_2Qa_s_X_fAV6_Q_Cv_fAV6_Q_Cv_f __pyx_string_tab[138]
#define __pyx_kp_b_iso88591_A_Cq __pyx_string_tab[139]
#define __pyx_kp_b_iso88591_A_IRr_q_A_D_E_Rq_D_Jaz_S_eeiirry __pyx_string_tab[140]
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#define __pyx_float_1_0 __pyx_number_tab[1]
#define __pyx_int_0 __pyx_number_tab[2]
#define __pyx_int_neg_1 __pyx_number_tab[3]
#define __pyx_int_1 __pyx_number_tab[4]
#define __pyx_int_2 __pyx_number_tab[5]
#define __pyx_int_3 __pyx_number_tab[6]
#define __pyx_int_50 __pyx_number_tab[7]
#define __pyx_int_136983863 __pyx_number_tab[8]
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Py_CLEAR(clear_module_state->__pyx_CommonTypesMetaclassType);
 
/* CythonFunctionPerModule.module_state_clear */
Py_CLEAR(clear_module_state->__pyx_CyFunctionType);
 
/* #### Code section: module_state_clear_end ### */
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      /* "View.MemoryView":372
 *         if type(self) is memoryview or obj is not None:
 *             PyObject_GetBuffer(obj, &self.view, flags)
 *             if <PyObject *> self.view.obj == NULL:             # <<<<<<<<<<<<<<
 *                 (<__pyx_buffer *> &self.view).obj = Py_None
 *                 Py_INCREF(Py_None)
*/
    }
 
    /* "View.MemoryView":370
 *         self.obj = obj
 *         self.flags = flags
 *         if type(self) is memoryview or obj is not None:             # <<<<<<<<<<<<<<
 *             PyObject_GetBuffer(obj, &self.view, flags)
 *             if <PyObject *> self.view.obj == NULL:
*/
  }
 
  /* "View.MemoryView":376
 *                 Py_INCREF(Py_None)
 * 
 *         if not __PYX_CYTHON_ATOMICS_ENABLED():             # <<<<<<<<<<<<<<
 *             global __pyx_memoryview_thread_locks_used
 *             if (__pyx_memoryview_thread_locks_used < 8 and
*/
  __pyx_t_1 = (!__PYX_CYTHON_ATOMICS_ENABLED());
 
  if (__pyx_t_1) {
 
 
    /* "View.MemoryView":378
 *         if not __PYX_CYTHON_ATOMICS_ENABLED():
 *             global __pyx_memoryview_thread_locks_used
 *             if (__pyx_memoryview_thread_locks_used < 8 and             # <<<<<<<<<<<<<<
 * 
 *                     not __PYX_GET_CYTHON_COMPILING_IN_CPYTHON_FREETHREADING()):
*/
    __pyx_t_2 = (__pyx_memoryview_thread_locks_used < 8);
 
    if (__pyx_t_2) {
 
    } else {
 
      __pyx_t_1 = __pyx_t_2;
 
      goto __pyx_L9_bool_binop_done;
    }
 
    /* "View.MemoryView":380
 *             if (__pyx_memoryview_thread_locks_used < 8 and
 * 
 *                     not __PYX_GET_CYTHON_COMPILING_IN_CPYTHON_FREETHREADING()):             # <<<<<<<<<<<<<<
 *                 self.lock = __pyx_memoryview_thread_locks[__pyx_memoryview_thread_locks_used]
 *                 __pyx_memoryview_thread_locks_used += 1
*/
    __pyx_t_2 = (!__PYX_GET_CYTHON_COMPILING_IN_CPYTHON_FREETHREADING());
 
 
    __pyx_t_1 = __pyx_t_2;
 
    __pyx_L9_bool_binop_done:;
 
    /* "View.MemoryView":378
 *         if not __PYX_CYTHON_ATOMICS_ENABLED():
 *             global __pyx_memoryview_thread_locks_used
 *             if (__pyx_memoryview_thread_locks_used < 8 and             # <<<<<<<<<<<<<<
 * 
 *                     not __PYX_GET_CYTHON_COMPILING_IN_CPYTHON_FREETHREADING()):
*/
    if (__pyx_t_1) {
 
 
      /* "View.MemoryView":381
 * 
 *                     not __PYX_GET_CYTHON_COMPILING_IN_CPYTHON_FREETHREADING()):
 *                 self.lock = __pyx_memoryview_thread_locks[__pyx_memoryview_thread_locks_used]             # <<<<<<<<<<<<<<
 *                 __pyx_memoryview_thread_locks_used += 1
 *             if self.lock is NULL:
*/
      __pyx_v_self->lock = (__pyx_memoryview_thread_locks[__pyx_memoryview_thread_locks_used]);
 
      /* "View.MemoryView":382
 *                     not __PYX_GET_CYTHON_COMPILING_IN_CPYTHON_FREETHREADING()):
 *                 self.lock = __pyx_memoryview_thread_locks[__pyx_memoryview_thread_locks_used]
 *                 __pyx_memoryview_thread_locks_used += 1             # <<<<<<<<<<<<<<
 *             if self.lock is NULL:
 *                 self.lock = PyThread_allocate_lock()
*/
      __pyx_memoryview_thread_locks_used = (__pyx_memoryview_thread_locks_used + 1);
 
      /* "View.MemoryView":378
 *         if not __PYX_CYTHON_ATOMICS_ENABLED():
 *             global __pyx_memoryview_thread_locks_used
 *             if (__pyx_memoryview_thread_locks_used < 8 and             # <<<<<<<<<<<<<<
 * 
 *                     not __PYX_GET_CYTHON_COMPILING_IN_CPYTHON_FREETHREADING()):
*/
    }
 
    /* "View.MemoryView":383
 *                 self.lock = __pyx_memoryview_thread_locks[__pyx_memoryview_thread_locks_used]
 *                 __pyx_memoryview_thread_locks_used += 1
 *             if self.lock is NULL:             # <<<<<<<<<<<<<<
 *                 self.lock = PyThread_allocate_lock()
 *                 if self.lock is NULL:
*/
    __pyx_t_1 = (__pyx_v_self->lock == NULL);
 
    if (__pyx_t_1) {
 
 
      /* "View.MemoryView":384
 *                 __pyx_memoryview_thread_locks_used += 1
 *             if self.lock is NULL:
 *                 self.lock = PyThread_allocate_lock()             # <<<<<<<<<<<<<<
 *                 if self.lock is NULL:
 *                     raise MemoryError
*/
      __pyx_v_self->lock = PyThread_allocate_lock();
 
      /* "View.MemoryView":385
 *             if self.lock is NULL:
 *                 self.lock = PyThread_allocate_lock()
 *                 if self.lock is NULL:             # <<<<<<<<<<<<<<
 *                     raise MemoryError
 * 
*/
      __pyx_t_1 = (__pyx_v_self->lock == NULL);
 
      if (unlikely(__pyx_t_1)) {
 
 
        /* "View.MemoryView":386
 *                 self.lock = PyThread_allocate_lock()
 *                 if self.lock is NULL:
 *                     raise MemoryError             # <<<<<<<<<<<<<<
 * 
 *         if flags & PyBUF_FORMAT:
*/
        PyErr_NoMemory(); __PYX_ERR(1, 386, __pyx_L1_error)
 
        /* "View.MemoryView":385
 *             if self.lock is NULL:
 *                 self.lock = PyThread_allocate_lock()
 *                 if self.lock is NULL:             # <<<<<<<<<<<<<<
 *                     raise MemoryError
 * 
*/
      }
 
      /* "View.MemoryView":383
 *                 self.lock = __pyx_memoryview_thread_locks[__pyx_memoryview_thread_locks_used]
 *                 __pyx_memoryview_thread_locks_used += 1
 *             if self.lock is NULL:             # <<<<<<<<<<<<<<
 *                 self.lock = PyThread_allocate_lock()
 *                 if self.lock is NULL:
*/
    }
 
    /* "View.MemoryView":376
 *                 Py_INCREF(Py_None)
 * 
 *         if not __PYX_CYTHON_ATOMICS_ENABLED():             # <<<<<<<<<<<<<<
 *             global __pyx_memoryview_thread_locks_used
 *             if (__pyx_memoryview_thread_locks_used < 8 and
*/
  }
 
  /* "View.MemoryView":388
 *                     raise MemoryError
 * 
 *         if flags & PyBUF_FORMAT:             # <<<<<<<<<<<<<<
 *             self.dtype_is_object = (self.view.format[0] == b'O' and self.view.format[1] == b'\0')
 *         else:
*/
  __pyx_t_1 = ((__pyx_v_flags & PyBUF_FORMAT) != 0);
 
  if (__pyx_t_1) {
 
 
    /* "View.MemoryView":389
 * 
 *         if flags & PyBUF_FORMAT:
 *             self.dtype_is_object = (self.view.format[0] == b'O' and self.view.format[1] == b'\0')             # <<<<<<<<<<<<<<
 *         else:
 *             self.dtype_is_object = dtype_is_object
*/
    __pyx_t_2 = ((__pyx_v_self->view.format[0]) == 'O');
 
    if (__pyx_t_2) {
 
    } else {
 
      __pyx_t_1 = __pyx_t_2;
 
      goto __pyx_L14_bool_binop_done;
    }
    __pyx_t_2 = ((__pyx_v_self->view.format[1]) == '\x00');
 
 
    __pyx_t_1 = __pyx_t_2;
 
    __pyx_L14_bool_binop_done:;
    __pyx_v_self->dtype_is_object = __pyx_t_1;
 
    /* "View.MemoryView":388
 *                     raise MemoryError
 * 
 *         if flags & PyBUF_FORMAT:             # <<<<<<<<<<<<<<
 *             self.dtype_is_object = (self.view.format[0] == b'O' and self.view.format[1] == b'\0')
 *         else:
*/
    goto __pyx_L13;
  }
 
  /* "View.MemoryView":391
 *             self.dtype_is_object = (self.view.format[0] == b'O' and self.view.format[1] == b'\0')
 *         else:
 *             self.dtype_is_object = dtype_is_object             # <<<<<<<<<<<<<<
 * 
 *         with cython.cdivision(True):
*/
  /*else*/ {
    __pyx_v_self->dtype_is_object = __pyx_v_dtype_is_object;
  }
  __pyx_L13:;
 
  /* "View.MemoryView":394
 * 
 *         with cython.cdivision(True):
 *             assert <uintptr_t>(&self.acquisition_count) % sizeof(__pyx_atomic_int_type) == 0             # <<<<<<<<<<<<<<
 *         self.typeinfo = NULL
 * 
*/
  #ifndef CYTHON_WITHOUT_ASSERTIONS
  if (unlikely(__pyx_assertions_enabled())) {
    __pyx_t_1 = ((((__pyx_uintptr_t)(&__pyx_v_self->acquisition_count)) % (sizeof(__pyx_atomic_int_type))) == 0);
 
    if (unlikely(!__pyx_t_1)) {
      __Pyx_Raise(((PyObject *)(((PyTypeObject*)PyExc_AssertionError))), 0, 0, 0);
      __PYX_ERR(1, 394, __pyx_L1_error)
    }
 
  }
  #else
  if ((1)); else __PYX_ERR(1, 394, __pyx_L1_error)
  #endif
 
  /* "View.MemoryView":395
 *         with cython.cdivision(True):
 *             assert <uintptr_t>(&self.acquisition_count) % sizeof(__pyx_atomic_int_type) == 0
 *         self.typeinfo = NULL             # <<<<<<<<<<<<<<
 * 
 *     def __dealloc__(memoryview self):
*/
  __pyx_v_self->typeinfo = NULL;
 
  /* "View.MemoryView":367
 *     cdef const __Pyx_TypeInfo *typeinfo
 * 
 *     def __cinit__(memoryview self, object obj, int flags, bint dtype_is_object=False):             # <<<<<<<<<<<<<<
 *         self.obj = obj
 *         self.flags = flags
*/
 
  /* function exit code */
  __pyx_r = 0;
  goto __pyx_L0;
  __pyx_L1_error:;
  __Pyx_AddTraceback("View.MemoryView.memoryview.__cinit__", __pyx_clineno, __pyx_lineno, __pyx_filename);
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  __Pyx_RefNannyFinishContext();
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}
 
/* "View.MemoryView":397
 *         self.typeinfo = NULL
 * 
 *     def __dealloc__(memoryview self):             # <<<<<<<<<<<<<<
 *         if self.obj is not None:
 *             PyBuffer_Release(&self.view)
*/
 
/* Python wrapper */
static void __pyx_memoryview___dealloc__(PyObject *__pyx_v_self); /*proto*/
static void __pyx_memoryview___dealloc__(PyObject *__pyx_v_self) {
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("__dealloc__ (wrapper)", 0);
  __pyx_kwvalues = __Pyx_KwValues_VARARGS(__pyx_args, __pyx_nargs);
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  /* function exit code */
  __Pyx_RefNannyFinishContext();
}
 
static void __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_2__dealloc__(struct __pyx_memoryview_obj *__pyx_v_self) {
  int __pyx_v_i;
  int __pyx_t_1;
  Py_ssize_t __pyx_t_2;
  Py_ssize_t __pyx_t_3;
  int __pyx_t_4;
  PyThread_type_lock __pyx_t_5;
  PyThread_type_lock __pyx_t_6;
 
  /* "View.MemoryView":398
 * 
 *     def __dealloc__(memoryview self):
 *         if self.obj is not None:             # <<<<<<<<<<<<<<
 *             PyBuffer_Release(&self.view)
 *         elif (<__pyx_buffer *> &self.view).obj == Py_None:
*/
  __pyx_t_1 = (__pyx_v_self->obj != Py_None);
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    /* "View.MemoryView":399
 *     def __dealloc__(memoryview self):
 *         if self.obj is not None:
 *             PyBuffer_Release(&self.view)             # <<<<<<<<<<<<<<
 *         elif (<__pyx_buffer *> &self.view).obj == Py_None:
 * 
*/
    PyBuffer_Release((&__pyx_v_self->view));
 
    /* "View.MemoryView":398
 * 
 *     def __dealloc__(memoryview self):
 *         if self.obj is not None:             # <<<<<<<<<<<<<<
 *             PyBuffer_Release(&self.view)
 *         elif (<__pyx_buffer *> &self.view).obj == Py_None:
*/
    goto __pyx_L3;
  }
 
  /* "View.MemoryView":400
 *         if self.obj is not None:
 *             PyBuffer_Release(&self.view)
 *         elif (<__pyx_buffer *> &self.view).obj == Py_None:             # <<<<<<<<<<<<<<
 * 
 *             (<__pyx_buffer *> &self.view).obj = NULL
*/
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  if (__pyx_t_1) {
 
 
    /* "View.MemoryView":402
 *         elif (<__pyx_buffer *> &self.view).obj == Py_None:
 * 
 *             (<__pyx_buffer *> &self.view).obj = NULL             # <<<<<<<<<<<<<<
 *             Py_DECREF(Py_None)
 * 
*/
    ((Py_buffer *)(&__pyx_v_self->view))->obj = NULL;
 
    /* "View.MemoryView":403
 * 
 *             (<__pyx_buffer *> &self.view).obj = NULL
 *             Py_DECREF(Py_None)             # <<<<<<<<<<<<<<
 * 
 *         cdef int i
*/
    Py_DECREF(Py_None);
 
    /* "View.MemoryView":400
 *         if self.obj is not None:
 *             PyBuffer_Release(&self.view)
 *         elif (<__pyx_buffer *> &self.view).obj == Py_None:             # <<<<<<<<<<<<<<
 * 
 *             (<__pyx_buffer *> &self.view).obj = NULL
*/
  }
  __pyx_L3:;
 
  /* "View.MemoryView":407
 *         cdef int i
 *         global __pyx_memoryview_thread_locks_used
 *         if self.lock != NULL:             # <<<<<<<<<<<<<<
 *             for i in range(0 if __PYX_GET_CYTHON_COMPILING_IN_CPYTHON_FREETHREADING() else __pyx_memoryview_thread_locks_used):
 *                 if __pyx_memoryview_thread_locks[i] is self.lock:
*/
  __pyx_t_1 = (__pyx_v_self->lock != NULL);
 
  if (__pyx_t_1) {
 
 
    /* "View.MemoryView":408
 *         global __pyx_memoryview_thread_locks_used
 *         if self.lock != NULL:
 *             for i in range(0 if __PYX_GET_CYTHON_COMPILING_IN_CPYTHON_FREETHREADING() else __pyx_memoryview_thread_locks_used):             # <<<<<<<<<<<<<<
 *                 if __pyx_memoryview_thread_locks[i] is self.lock:
 *                     __pyx_memoryview_thread_locks_used -= 1
*/
    __pyx_t_1 = __PYX_GET_CYTHON_COMPILING_IN_CPYTHON_FREETHREADING();
 
    if (__pyx_t_1) {
 
      __pyx_t_2 = 0;
    } else {
 
      __pyx_t_2 = __pyx_memoryview_thread_locks_used;
    }
 
    __pyx_t_3 = __pyx_t_2;
 
    for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_3; __pyx_t_4+=1) {
      __pyx_v_i = __pyx_t_4;
 
      /* "View.MemoryView":409
 *         if self.lock != NULL:
 *             for i in range(0 if __PYX_GET_CYTHON_COMPILING_IN_CPYTHON_FREETHREADING() else __pyx_memoryview_thread_locks_used):
 *                 if __pyx_memoryview_thread_locks[i] is self.lock:             # <<<<<<<<<<<<<<
 *                     __pyx_memoryview_thread_locks_used -= 1
 *                     if i != __pyx_memoryview_thread_locks_used:
*/
      __pyx_t_1 = ((__pyx_memoryview_thread_locks[__pyx_v_i]) == __pyx_v_self->lock);
 
      if (__pyx_t_1) {
 
 
        /* "View.MemoryView":410
 *             for i in range(0 if __PYX_GET_CYTHON_COMPILING_IN_CPYTHON_FREETHREADING() else __pyx_memoryview_thread_locks_used):
 *                 if __pyx_memoryview_thread_locks[i] is self.lock:
 *                     __pyx_memoryview_thread_locks_used -= 1             # <<<<<<<<<<<<<<
 *                     if i != __pyx_memoryview_thread_locks_used:
 *                         __pyx_memoryview_thread_locks[i], __pyx_memoryview_thread_locks[__pyx_memoryview_thread_locks_used] = (
*/
        __pyx_memoryview_thread_locks_used = (__pyx_memoryview_thread_locks_used - 1);
 
        /* "View.MemoryView":411
 *                 if __pyx_memoryview_thread_locks[i] is self.lock:
 *                     __pyx_memoryview_thread_locks_used -= 1
 *                     if i != __pyx_memoryview_thread_locks_used:             # <<<<<<<<<<<<<<
 *                         __pyx_memoryview_thread_locks[i], __pyx_memoryview_thread_locks[__pyx_memoryview_thread_locks_used] = (
 *                             __pyx_memoryview_thread_locks[__pyx_memoryview_thread_locks_used], __pyx_memoryview_thread_locks[i])
*/
        __pyx_t_1 = (__pyx_v_i != __pyx_memoryview_thread_locks_used);
 
        if (__pyx_t_1) {
 
 
          /* "View.MemoryView":413
 *                     if i != __pyx_memoryview_thread_locks_used:
 *                         __pyx_memoryview_thread_locks[i], __pyx_memoryview_thread_locks[__pyx_memoryview_thread_locks_used] = (
 *                             __pyx_memoryview_thread_locks[__pyx_memoryview_thread_locks_used], __pyx_memoryview_thread_locks[i])             # <<<<<<<<<<<<<<
 *                     break
 *             else:
*/
          __pyx_t_5 = (__pyx_memoryview_thread_locks[__pyx_memoryview_thread_locks_used]);
 
          __pyx_t_6 = (__pyx_memoryview_thread_locks[__pyx_v_i]);
 
 
          /* "View.MemoryView":412
 *                     __pyx_memoryview_thread_locks_used -= 1
 *                     if i != __pyx_memoryview_thread_locks_used:
 *                         __pyx_memoryview_thread_locks[i], __pyx_memoryview_thread_locks[__pyx_memoryview_thread_locks_used] = (             # <<<<<<<<<<<<<<
 *                             __pyx_memoryview_thread_locks[__pyx_memoryview_thread_locks_used], __pyx_memoryview_thread_locks[i])
 *                     break
*/
          (__pyx_memoryview_thread_locks[__pyx_v_i]) = __pyx_t_5;
 
          (__pyx_memoryview_thread_locks[__pyx_memoryview_thread_locks_used]) = __pyx_t_6;
 
 
          /* "View.MemoryView":411
 *                 if __pyx_memoryview_thread_locks[i] is self.lock:
 *                     __pyx_memoryview_thread_locks_used -= 1
 *                     if i != __pyx_memoryview_thread_locks_used:             # <<<<<<<<<<<<<<
 *                         __pyx_memoryview_thread_locks[i], __pyx_memoryview_thread_locks[__pyx_memoryview_thread_locks_used] = (
 *                             __pyx_memoryview_thread_locks[__pyx_memoryview_thread_locks_used], __pyx_memoryview_thread_locks[i])
*/
        }
 
        /* "View.MemoryView":414
 *                         __pyx_memoryview_thread_locks[i], __pyx_memoryview_thread_locks[__pyx_memoryview_thread_locks_used] = (
 *                             __pyx_memoryview_thread_locks[__pyx_memoryview_thread_locks_used], __pyx_memoryview_thread_locks[i])
 *                     break             # <<<<<<<<<<<<<<
 *             else:
 *                 PyThread_free_lock(self.lock)
*/
        goto __pyx_L6_break;
 
        /* "View.MemoryView":409
 *         if self.lock != NULL:
 *             for i in range(0 if __PYX_GET_CYTHON_COMPILING_IN_CPYTHON_FREETHREADING() else __pyx_memoryview_thread_locks_used):
 *                 if __pyx_memoryview_thread_locks[i] is self.lock:             # <<<<<<<<<<<<<<
 *                     __pyx_memoryview_thread_locks_used -= 1
 *                     if i != __pyx_memoryview_thread_locks_used:
*/
      }
    }
    /*else*/ {
 
      /* "View.MemoryView":416
 *                     break
 *             else:
 *                 PyThread_free_lock(self.lock)             # <<<<<<<<<<<<<<
 * 
 * 
*/
      PyThread_free_lock(__pyx_v_self->lock);
    }
    __pyx_L6_break:;
 
 
 
    /* "View.MemoryView":407
 *         cdef int i
 *         global __pyx_memoryview_thread_locks_used
 *         if self.lock != NULL:             # <<<<<<<<<<<<<<
 *             for i in range(0 if __PYX_GET_CYTHON_COMPILING_IN_CPYTHON_FREETHREADING() else __pyx_memoryview_thread_locks_used):
 *                 if __pyx_memoryview_thread_locks[i] is self.lock:
*/
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  /* "View.MemoryView":397
 *         self.typeinfo = NULL
 * 
 *     def __dealloc__(memoryview self):             # <<<<<<<<<<<<<<
 *         if self.obj is not None:
 *             PyBuffer_Release(&self.view)
*/
 
  /* function exit code */
 
 
}
 
/* "View.MemoryView":419
 * 
 * 
 *     cdef char *get_item_pointer(memoryview self, index: tuple) except NULL:             # <<<<<<<<<<<<<<
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*/
 
static char *__pyx_memoryview_get_item_pointer(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index) {
  Py_ssize_t __pyx_v_dim;
  char *__pyx_v_itemp;
  PyObject *__pyx_v_idx = NULL;
  char *__pyx_r;
  __Pyx_RefNannyDeclarations
  Py_ssize_t __pyx_t_1;
  PyObject *__pyx_t_2 = NULL;
  Py_ssize_t __pyx_t_3;
  PyObject *__pyx_t_4 = NULL;
  Py_ssize_t __pyx_t_5;
  char *__pyx_t_6;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
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  __Pyx_RefNannySetupContext("get_item_pointer", 0);
 
  /* "View.MemoryView":421
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 *         cdef char *itemp = <char *> self.view.buf             # <<<<<<<<<<<<<<
 * 
 *         for dim, idx in enumerate(index):
*/
  __pyx_v_itemp = ((char *)__pyx_v_self->view.buf);
 
  /* "View.MemoryView":423
 *         cdef char *itemp = <char *> self.view.buf
 * 
 *         for dim, idx in enumerate(index):             # <<<<<<<<<<<<<<
 *             itemp = pybuffer_index(&self.view, itemp, idx, dim)
 * 
*/
 
  __pyx_t_1 = 0;
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  __pyx_t_3 = 0;
  for (;;) {
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    __pyx_t_4 = __Pyx_PySequence_ITEM(__pyx_t_2, __pyx_t_3);
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 * 
 *         for dim, idx in enumerate(index):
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 * 
 *         return itemp
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 *             cindex = index
 *             slice_memviewslice(
*/
    __pyx_t_1 = (PyIndex_Check(__pyx_v_index) != 0);
 
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 *             slice_memviewslice(
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*/
      __pyx_t_8 = __Pyx_PyIndex_AsSsize_t(__pyx_v_index); if (unlikely((__pyx_t_8 == (Py_ssize_t)-1) && PyErr_Occurred())) __PYX_ERR(1, 850, __pyx_L1_error)
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      /* "View.MemoryView":851
 *         if PyIndex_Check(index):
 *             cindex = index
 *             slice_memviewslice(             # <<<<<<<<<<<<<<
 *                 p_dst, p_src.shape[dim], p_src.strides[dim], p_src.suboffsets[dim],
 *                 dim, new_ndim, p_suboffset_dim,
*/
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      /* "View.MemoryView":849
 * 
 *     for dim, index in enumerate(indices):
 *         if PyIndex_Check(index):             # <<<<<<<<<<<<<<
 *             cindex = index
 *             slice_memviewslice(
*/
      goto __pyx_L6;
    }
 
    /* "View.MemoryView":857
 *                 0, 0, 0, # have_{start,stop,step}
 *                 False)
 *         elif index is None:             # <<<<<<<<<<<<<<
 *             p_dst.shape[new_ndim] = 1
 *             p_dst.strides[new_ndim] = 0
*/
    __pyx_t_1 = (__pyx_v_index == Py_None);
    if (__pyx_t_1) {
 
 
      /* "View.MemoryView":858
 *                 False)
 *         elif index is None:
 *             p_dst.shape[new_ndim] = 1             # <<<<<<<<<<<<<<
 *             p_dst.strides[new_ndim] = 0
 *             p_dst.suboffsets[new_ndim] = -1
*/
      (__pyx_v_p_dst->shape[__pyx_v_new_ndim]) = 1;
 
      /* "View.MemoryView":859
 *         elif index is None:
 *             p_dst.shape[new_ndim] = 1
 *             p_dst.strides[new_ndim] = 0             # <<<<<<<<<<<<<<
 *             p_dst.suboffsets[new_ndim] = -1
 *             new_ndim += 1
*/
      (__pyx_v_p_dst->strides[__pyx_v_new_ndim]) = 0;
 
      /* "View.MemoryView":860
 *             p_dst.shape[new_ndim] = 1
 *             p_dst.strides[new_ndim] = 0
 *             p_dst.suboffsets[new_ndim] = -1             # <<<<<<<<<<<<<<
 *             new_ndim += 1
 *         else:
*/
      (__pyx_v_p_dst->suboffsets[__pyx_v_new_ndim]) = -1L;
 
      /* "View.MemoryView":861
 *             p_dst.strides[new_ndim] = 0
 *             p_dst.suboffsets[new_ndim] = -1
 *             new_ndim += 1             # <<<<<<<<<<<<<<
 *         else:
 *             start = index.start or 0
*/
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      /* "View.MemoryView":857
 *                 0, 0, 0, # have_{start,stop,step}
 *                 False)
 *         elif index is None:             # <<<<<<<<<<<<<<
 *             p_dst.shape[new_ndim] = 1
 *             p_dst.strides[new_ndim] = 0
*/
      goto __pyx_L6;
    }
 
    /* "View.MemoryView":863
 *             new_ndim += 1
 *         else:
 *             start = index.start or 0             # <<<<<<<<<<<<<<
 *             stop = index.stop or 0
 *             step = index.step or 0
*/
    /*else*/ {
      __pyx_t_7 = __Pyx_PyObject_GetAttrStr(__pyx_v_index, __pyx_mstate_global->__pyx_n_u_start); if (unlikely(!__pyx_t_7)) __PYX_ERR(1, 863, __pyx_L1_error)
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        __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
      } else {
        __pyx_t_10 = __Pyx_PyIndex_AsSsize_t(__pyx_t_7); if (unlikely((__pyx_t_10 == (Py_ssize_t)-1) && PyErr_Occurred())) __PYX_ERR(1, 863, __pyx_L1_error)
        __pyx_t_8 = __pyx_t_10;
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      }
 
      __pyx_t_8 = 0;
      __pyx_L7_bool_binop_done:;
      __pyx_v_start = __pyx_t_8;
 
      /* "View.MemoryView":864
 *         else:
 *             start = index.start or 0
 *             stop = index.stop or 0             # <<<<<<<<<<<<<<
 *             step = index.step or 0
 * 
*/
      __pyx_t_7 = __Pyx_PyObject_GetAttrStr(__pyx_v_index, __pyx_mstate_global->__pyx_n_u_stop); if (unlikely(!__pyx_t_7)) __PYX_ERR(1, 864, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_7);
      __pyx_t_1 = __Pyx_PyObject_IsTrue(__pyx_t_7); if (unlikely((__pyx_t_1 < 0))) __PYX_ERR(1, 864, __pyx_L1_error)
      if (!__pyx_t_1) {
        __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
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        __pyx_t_10 = __Pyx_PyIndex_AsSsize_t(__pyx_t_7); if (unlikely((__pyx_t_10 == (Py_ssize_t)-1) && PyErr_Occurred())) __PYX_ERR(1, 864, __pyx_L1_error)
        __pyx_t_8 = __pyx_t_10;
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      }
 
      __pyx_t_8 = 0;
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 *             stop = index.stop or 0
 *             step = index.step or 0             # <<<<<<<<<<<<<<
 * 
 *             have_start = index.start is not None
*/
      __pyx_t_7 = __Pyx_PyObject_GetAttrStr(__pyx_v_index, __pyx_mstate_global->__pyx_n_u_step); if (unlikely(!__pyx_t_7)) __PYX_ERR(1, 865, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_7);
      __pyx_t_1 = __Pyx_PyObject_IsTrue(__pyx_t_7); if (unlikely((__pyx_t_1 < 0))) __PYX_ERR(1, 865, __pyx_L1_error)
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        __pyx_t_10 = __Pyx_PyIndex_AsSsize_t(__pyx_t_7); if (unlikely((__pyx_t_10 == (Py_ssize_t)-1) && PyErr_Occurred())) __PYX_ERR(1, 865, __pyx_L1_error)
        __pyx_t_8 = __pyx_t_10;
        __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
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      __pyx_t_8 = 0;
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      /* "View.MemoryView":867
 *             step = index.step or 0
 * 
 *             have_start = index.start is not None             # <<<<<<<<<<<<<<
 *             have_stop = index.stop is not None
 *             have_step = index.step is not None
*/
      __pyx_t_7 = __Pyx_PyObject_GetAttrStr(__pyx_v_index, __pyx_mstate_global->__pyx_n_u_start); if (unlikely(!__pyx_t_7)) __PYX_ERR(1, 867, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_7);
      __pyx_t_1 = (__pyx_t_7 != Py_None);
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      /* "View.MemoryView":868
 * 
 *             have_start = index.start is not None
 *             have_stop = index.stop is not None             # <<<<<<<<<<<<<<
 *             have_step = index.step is not None
 * 
*/
      __pyx_t_7 = __Pyx_PyObject_GetAttrStr(__pyx_v_index, __pyx_mstate_global->__pyx_n_u_stop); if (unlikely(!__pyx_t_7)) __PYX_ERR(1, 868, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_7);
      __pyx_t_1 = (__pyx_t_7 != Py_None);
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      __pyx_v_have_stop = __pyx_t_1;
 
      /* "View.MemoryView":869
 *             have_start = index.start is not None
 *             have_stop = index.stop is not None
 *             have_step = index.step is not None             # <<<<<<<<<<<<<<
 * 
 *             slice_memviewslice(
*/
      __pyx_t_7 = __Pyx_PyObject_GetAttrStr(__pyx_v_index, __pyx_mstate_global->__pyx_n_u_step); if (unlikely(!__pyx_t_7)) __PYX_ERR(1, 869, __pyx_L1_error)
      __Pyx_GOTREF(__pyx_t_7);
      __pyx_t_1 = (__pyx_t_7 != Py_None);
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      __pyx_v_have_step = __pyx_t_1;
 
      /* "View.MemoryView":871
 *             have_step = index.step is not None
 * 
 *             slice_memviewslice(             # <<<<<<<<<<<<<<
 *                 p_dst, p_src.shape[dim], p_src.strides[dim], p_src.suboffsets[dim],
 *                 dim, new_ndim, p_suboffset_dim,
*/
      __pyx_t_9 = __pyx_memoryview_slice_memviewslice(__pyx_v_p_dst, (__pyx_v_p_src->shape[__pyx_v_dim]), (__pyx_v_p_src->strides[__pyx_v_dim]), (__pyx_v_p_src->suboffsets[__pyx_v_dim]), __pyx_v_dim, __pyx_v_new_ndim, __pyx_v_p_suboffset_dim, __pyx_v_start, __pyx_v_stop, __pyx_v_step, __pyx_v_have_start, __pyx_v_have_stop, __pyx_v_have_step, 1); if (unlikely(__pyx_t_9 == ((int)-1))) __PYX_ERR(1, 871, __pyx_L1_error)
 
 
      /* "View.MemoryView":877
 *                 have_start, have_stop, have_step,
 *                 True)
 *             new_ndim += 1             # <<<<<<<<<<<<<<
 * 
 *     if isinstance(memview, _memoryviewslice):
*/
      __pyx_v_new_ndim = (__pyx_v_new_ndim + 1);
    }
    __pyx_L6:;
 
    /* "View.MemoryView":848
 *     cdef bint have_start, have_stop, have_step
 * 
 *     for dim, index in enumerate(indices):             # <<<<<<<<<<<<<<
 *         if PyIndex_Check(index):
 *             cindex = index
*/
  }
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
 
  /* "View.MemoryView":879
 *             new_ndim += 1
 * 
 *     if isinstance(memview, _memoryviewslice):             # <<<<<<<<<<<<<<
 *         return memoryview_fromslice(dst, new_ndim,
 *                                     memviewsliceobj.to_object_func,
*/
  __pyx_t_1 = __Pyx_TypeCheck(((PyObject *)__pyx_v_memview), __pyx_mstate_global->__pyx_memoryviewslice_type); 
  if (__pyx_t_1) {
 
 
    /* "View.MemoryView":881
 *     if isinstance(memview, _memoryviewslice):
 *         return memoryview_fromslice(dst, new_ndim,
 *                                     memviewsliceobj.to_object_func,             # <<<<<<<<<<<<<<
 *                                     memviewsliceobj.to_dtype_func,
 *                                     memview.dtype_is_object)
*/
    if (unlikely(!__pyx_v_memviewsliceobj)) { __Pyx_RaiseUnboundLocalError("memviewsliceobj"); __PYX_ERR(1, 881, __pyx_L1_error) }
 
    /* "View.MemoryView":882
 *         return memoryview_fromslice(dst, new_ndim,
 *                                     memviewsliceobj.to_object_func,
 *                                     memviewsliceobj.to_dtype_func,             # <<<<<<<<<<<<<<
 *                                     memview.dtype_is_object)
 *     else:
*/
    if (unlikely(!__pyx_v_memviewsliceobj)) { __Pyx_RaiseUnboundLocalError("memviewsliceobj"); __PYX_ERR(1, 882, __pyx_L1_error) }
 
    /* "View.MemoryView":880
 * 
 *     if isinstance(memview, _memoryviewslice):
 *         return memoryview_fromslice(dst, new_ndim,             # <<<<<<<<<<<<<<
 *                                     memviewsliceobj.to_object_func,
 *                                     memviewsliceobj.to_dtype_func,
*/
    __pyx_t_2 = __pyx_memoryview_fromslice(__pyx_v_dst, __pyx_v_new_ndim, __pyx_v_memviewsliceobj->to_object_func, __pyx_v_memviewsliceobj->to_dtype_func, __pyx_v_memview->dtype_is_object); if (unlikely(!__pyx_t_2)) __PYX_ERR(1, 880, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
    if (!(likely(((__pyx_t_2) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_2, __pyx_mstate_global->__pyx_memoryview_type))))) __PYX_ERR(1, 880, __pyx_L1_error)
    {
      struct __pyx_memoryview_obj *__pyx_temp;
      {
        __pyx_temp = __pyx_r;
        __pyx_r = ((struct __pyx_memoryview_obj *)__pyx_t_2);
      }
      __Pyx_XDECREF((PyObject *)__pyx_temp);
    }
    __pyx_t_2 = 0;
    goto __pyx_L0;
 
    /* "View.MemoryView":879
 *             new_ndim += 1
 * 
 *     if isinstance(memview, _memoryviewslice):             # <<<<<<<<<<<<<<
 *         return memoryview_fromslice(dst, new_ndim,
 *                                     memviewsliceobj.to_object_func,
*/
  }
 
  /* "View.MemoryView":885
 *                                     memview.dtype_is_object)
 *     else:
 *         return memoryview_fromslice(dst, new_ndim, NULL, NULL,             # <<<<<<<<<<<<<<
 *                                     memview.dtype_is_object)
 * 
*/
  /*else*/ {
 
    /* "View.MemoryView":886
 *     else:
 *         return memoryview_fromslice(dst, new_ndim, NULL, NULL,
 *                                     memview.dtype_is_object)             # <<<<<<<<<<<<<<
 * 
 * 
*/
    __pyx_t_2 = __pyx_memoryview_fromslice(__pyx_v_dst, __pyx_v_new_ndim, NULL, NULL, __pyx_v_memview->dtype_is_object); if (unlikely(!__pyx_t_2)) __PYX_ERR(1, 885, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);
 
    /* "View.MemoryView":885
 *                                     memview.dtype_is_object)
 *     else:
 *         return memoryview_fromslice(dst, new_ndim, NULL, NULL,             # <<<<<<<<<<<<<<
 *                                     memview.dtype_is_object)
 * 
*/
    if (!(likely(((__pyx_t_2) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_2, __pyx_mstate_global->__pyx_memoryview_type))))) __PYX_ERR(1, 885, __pyx_L1_error)
    {
      struct __pyx_memoryview_obj *__pyx_temp;
      {
        __pyx_temp = __pyx_r;
        __pyx_r = ((struct __pyx_memoryview_obj *)__pyx_t_2);
      }
      __Pyx_XDECREF((PyObject *)__pyx_temp);
    }
    __pyx_t_2 = 0;
    goto __pyx_L0;
  }
 
  /* "View.MemoryView":811
 * 
 * 
 * @cname('__pyx_memview_slice')             # <<<<<<<<<<<<<<
 * cdef memoryview memview_slice(memoryview memview, tuple indices):
 *     cdef int new_ndim = 0, suboffset_dim = -1, dim
*/
 
  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_7);
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  __pyx_r = 0;
  __pyx_L0:;
 
 
 
 
 
 
  __Pyx_XDECREF((PyObject *)__pyx_v_memviewsliceobj);
 
 
 
 
 
 
 
 
 
  __Pyx_XDECREF(__pyx_v_index);
  __Pyx_XGIVEREF((PyObject *)__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}
 
/* "View.MemoryView":892
 * 
 * 
 * @cname('__pyx_pybuffer_index')             # <<<<<<<<<<<<<<
 * cdef char *pybuffer_index(Py_buffer *view, char *bufp, Py_ssize_t index,
 *                           Py_ssize_t dim) except NULL:
*/
 
static char *__pyx_pybuffer_index(Py_buffer *__pyx_v_view, char *__pyx_v_bufp, Py_ssize_t __pyx_v_index, Py_ssize_t __pyx_v_dim) {
  Py_ssize_t __pyx_v_shape;
  Py_ssize_t __pyx_v_stride;
  Py_ssize_t __pyx_v_suboffset;
  Py_ssize_t __pyx_v_itemsize;
  char *__pyx_v_resultp;
  char *__pyx_r;
  Py_ssize_t __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
 
 
  /* "View.MemoryView":895
 * cdef char *pybuffer_index(Py_buffer *view, char *bufp, Py_ssize_t index,
 *                           Py_ssize_t dim) except NULL:
 *     cdef Py_ssize_t shape, stride, suboffset = -1             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t itemsize = view.itemsize
 *     cdef char *resultp
*/
  __pyx_v_suboffset = -1L;
 
  /* "View.MemoryView":896
 *                           Py_ssize_t dim) except NULL:
 *     cdef Py_ssize_t shape, stride, suboffset = -1
 *     cdef Py_ssize_t itemsize = view.itemsize             # <<<<<<<<<<<<<<
 *     cdef char *resultp
 * 
*/
  __pyx_t_1 = __pyx_v_view->itemsize;
 
  __pyx_v_itemsize = __pyx_t_1;
 
  /* "View.MemoryView":899
 *     cdef char *resultp
 * 
 *     if view.ndim == 0:             # <<<<<<<<<<<<<<
 *         shape = view.len // itemsize
 *         stride = itemsize
*/
  __pyx_t_2 = (__pyx_v_view->ndim == 0);
 
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    /* "View.MemoryView":900
 * 
 *     if view.ndim == 0:
 *         shape = view.len // itemsize             # <<<<<<<<<<<<<<
 *         stride = itemsize
 *     else:
*/
    if (unlikely(__pyx_v_itemsize == 0)) {
      PyErr_SetString(PyExc_ZeroDivisionError, "integer division or modulo by zero");
      __PYX_ERR(1, 900, __pyx_L1_error)
    }
    else if (sizeof(Py_ssize_t) == sizeof(long) && (!(((Py_ssize_t)-1) > 0)) && unlikely(__pyx_v_itemsize == (Py_ssize_t)-1)  && unlikely(__Pyx_UNARY_NEG_WOULD_OVERFLOW(__pyx_v_view->len))) {
      PyErr_SetString(PyExc_OverflowError, "value too large to perform division");
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    /* "View.MemoryView":901
 *     if view.ndim == 0:
 *         shape = view.len // itemsize
 *         stride = itemsize             # <<<<<<<<<<<<<<
 *     else:
 *         shape = view.shape[dim]
*/
    __pyx_v_stride = __pyx_v_itemsize;
 
    /* "View.MemoryView":899
 *     cdef char *resultp
 * 
 *     if view.ndim == 0:             # <<<<<<<<<<<<<<
 *         shape = view.len // itemsize
 *         stride = itemsize
*/
    goto __pyx_L3;
  }
 
  /* "View.MemoryView":903
 *         stride = itemsize
 *     else:
 *         shape = view.shape[dim]             # <<<<<<<<<<<<<<
 *         stride = view.strides[dim]
 *         if view.suboffsets != NULL:
*/
  /*else*/ {
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    /* "View.MemoryView":904
 *     else:
 *         shape = view.shape[dim]
 *         stride = view.strides[dim]             # <<<<<<<<<<<<<<
 *         if view.suboffsets != NULL:
 *             suboffset = view.suboffsets[dim]
*/
    __pyx_v_stride = (__pyx_v_view->strides[__pyx_v_dim]);
 
    /* "View.MemoryView":905
 *         shape = view.shape[dim]
 *         stride = view.strides[dim]
 *         if view.suboffsets != NULL:             # <<<<<<<<<<<<<<
 *             suboffset = view.suboffsets[dim]
 * 
*/
    __pyx_t_2 = (__pyx_v_view->suboffsets != NULL);
 
    if (__pyx_t_2) {
 
 
      /* "View.MemoryView":906
 *         stride = view.strides[dim]
 *         if view.suboffsets != NULL:
 *             suboffset = view.suboffsets[dim]             # <<<<<<<<<<<<<<
 * 
 *     if index < 0:
*/
      __pyx_v_suboffset = (__pyx_v_view->suboffsets[__pyx_v_dim]);
 
      /* "View.MemoryView":905
 *         shape = view.shape[dim]
 *         stride = view.strides[dim]
 *         if view.suboffsets != NULL:             # <<<<<<<<<<<<<<
 *             suboffset = view.suboffsets[dim]
 * 
*/
    }
  }
  __pyx_L3:;
 
  /* "View.MemoryView":908
 *             suboffset = view.suboffsets[dim]
 * 
 *     if index < 0:             # <<<<<<<<<<<<<<
 *         index += view.shape[dim]
 *         if cython.unlikely(index < 0):
*/
  __pyx_t_2 = (__pyx_v_index < 0);
 
  if (__pyx_t_2) {
 
 
    /* "View.MemoryView":909
 * 
 *     if index < 0:
 *         index += view.shape[dim]             # <<<<<<<<<<<<<<
 *         if cython.unlikely(index < 0):
 *             _err_IndexError("Out of bounds on buffer access (axis %zd)", dim)
*/
    __pyx_v_index = (__pyx_v_index + (__pyx_v_view->shape[__pyx_v_dim]));
 
    /* "View.MemoryView":910
 *     if index < 0:
 *         index += view.shape[dim]
 *         if cython.unlikely(index < 0):             # <<<<<<<<<<<<<<
 *             _err_IndexError("Out of bounds on buffer access (axis %zd)", dim)
 * 
*/
    __pyx_t_2 = (__pyx_v_index < 0);
 
    if (unlikely(__pyx_t_2)) {
 
 
      /* "View.MemoryView":911
 *         index += view.shape[dim]
 *         if cython.unlikely(index < 0):
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 * 
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/* "View.MemoryView":1110
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*/
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*/
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 * 
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    /* "View.MemoryView":1125
 * 
 *     for i in range(ndim):
 *         if mslice.shape[i] > 1:             # <<<<<<<<<<<<<<
 *             f_stride = mslice.strides[i]
 *             break
*/
    __pyx_t_2 = ((__pyx_v_mslice->shape[__pyx_v_i]) > 1);
 
    if (__pyx_t_2) {
 
 
      /* "View.MemoryView":1126
 *     for i in range(ndim):
 *         if mslice.shape[i] > 1:
 *             f_stride = mslice.strides[i]             # <<<<<<<<<<<<<<
 *             break
 * 
*/
      __pyx_v_f_stride = (__pyx_v_mslice->strides[__pyx_v_i]);
 
      /* "View.MemoryView":1127
 *         if mslice.shape[i] > 1:
 *             f_stride = mslice.strides[i]
 *             break             # <<<<<<<<<<<<<<
 * 
 *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):
*/
      goto __pyx_L7_break;
 
      /* "View.MemoryView":1125
 * 
 *     for i in range(ndim):
 *         if mslice.shape[i] > 1:             # <<<<<<<<<<<<<<
 *             f_stride = mslice.strides[i]
 *             break
*/
    }
  }
  __pyx_L7_break:;
 
 
  /* "View.MemoryView":1129
 *             break
 * 
 *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):             # <<<<<<<<<<<<<<
 *         return 'C'
 *     else:
*/
  __pyx_t_2 = (abs_py_ssize_t(__pyx_v_c_stride) <= abs_py_ssize_t(__pyx_v_f_stride));
 
  if (__pyx_t_2) {
 
 
    /* "View.MemoryView":1130
 * 
 *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):
 *         return 'C'             # <<<<<<<<<<<<<<
 *     else:
 *         return 'F'
*/
    {
 
      __pyx_r = 'C';
    }
    goto __pyx_L0;
 
    /* "View.MemoryView":1129
 *             break
 * 
 *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):             # <<<<<<<<<<<<<<
 *         return 'C'
 *     else:
*/
  }
 
  /* "View.MemoryView":1132
 *         return 'C'
 *     else:
 *         return 'F'             # <<<<<<<<<<<<<<
 * 
 * @cython.cdivision(True)
*/
  /*else*/ {
    {
 
      __pyx_r = 'F';
    }
    goto __pyx_L0;
  }
 
  /* "View.MemoryView":1110
 *     return -arg if arg < 0 else arg
 * 
 * @cname('__pyx_get_best_slice_order')             # <<<<<<<<<<<<<<
 * cdef char get_best_order(__Pyx_memviewslice *mslice, int ndim) noexcept nogil:
 *     """
*/
 
  /* function exit code */
  __pyx_L0:;
 
 
 
  return __pyx_r;
}
 
/* "View.MemoryView":1134
 *         return 'F'
 * 
 * @cython.cdivision(True)             # <<<<<<<<<<<<<<
 * cdef void _copy_strided_to_strided(char *src_data, Py_ssize_t *src_strides,
 *                                    char *dst_data, Py_ssize_t *dst_strides,
*/
 
static void _copy_strided_to_strided(char *__pyx_v_src_data, Py_ssize_t *__pyx_v_src_strides, char *__pyx_v_dst_data, Py_ssize_t *__pyx_v_dst_strides, Py_ssize_t *__pyx_v_src_shape, Py_ssize_t *__pyx_v_dst_shape, int __pyx_v_ndim, size_t __pyx_v_itemsize) {
  CYTHON_UNUSED Py_ssize_t __pyx_v_i;
  CYTHON_UNUSED Py_ssize_t __pyx_v_src_extent;
  Py_ssize_t __pyx_v_dst_extent;
  Py_ssize_t __pyx_v_src_stride;
  Py_ssize_t __pyx_v_dst_stride;
  int __pyx_t_1;
  int __pyx_t_2;
  Py_ssize_t __pyx_t_3;
  Py_ssize_t __pyx_t_4;
  Py_ssize_t __pyx_t_5;
 
 
 
  /* "View.MemoryView":1142
 * 
 *     cdef Py_ssize_t i
 *     cdef Py_ssize_t src_extent = src_shape[0]             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t dst_extent = dst_shape[0]
 *     cdef Py_ssize_t src_stride = src_strides[0]
*/
  __pyx_v_src_extent = (__pyx_v_src_shape[0]);
 
  /* "View.MemoryView":1143
 *     cdef Py_ssize_t i
 *     cdef Py_ssize_t src_extent = src_shape[0]
 *     cdef Py_ssize_t dst_extent = dst_shape[0]             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t src_stride = src_strides[0]
 *     cdef Py_ssize_t dst_stride = dst_strides[0]
*/
  __pyx_v_dst_extent = (__pyx_v_dst_shape[0]);
 
  /* "View.MemoryView":1144
 *     cdef Py_ssize_t src_extent = src_shape[0]
 *     cdef Py_ssize_t dst_extent = dst_shape[0]
 *     cdef Py_ssize_t src_stride = src_strides[0]             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t dst_stride = dst_strides[0]
 * 
*/
  __pyx_v_src_stride = (__pyx_v_src_strides[0]);
 
  /* "View.MemoryView":1145
 *     cdef Py_ssize_t dst_extent = dst_shape[0]
 *     cdef Py_ssize_t src_stride = src_strides[0]
 *     cdef Py_ssize_t dst_stride = dst_strides[0]             # <<<<<<<<<<<<<<
 * 
 *     if ndim == 1:
*/
  __pyx_v_dst_stride = (__pyx_v_dst_strides[0]);
 
  /* "View.MemoryView":1147
 *     cdef Py_ssize_t dst_stride = dst_strides[0]
 * 
 *     if ndim == 1:             # <<<<<<<<<<<<<<
 *         if (src_stride > 0 and dst_stride > 0 and
 *                 <size_t> src_stride == itemsize == <size_t> dst_stride):
*/
  __pyx_t_1 = (__pyx_v_ndim == 1);
 
  if (__pyx_t_1) {
 
 
    /* "View.MemoryView":1148
 * 
 *     if ndim == 1:
 *         if (src_stride > 0 and dst_stride > 0 and             # <<<<<<<<<<<<<<
 *                 <size_t> src_stride == itemsize == <size_t> dst_stride):
 *             memcpy(dst_data, src_data, itemsize * <size_t> dst_extent)
*/
    __pyx_t_2 = (__pyx_v_src_stride > 0);
 
    if (__pyx_t_2) {
 
    } else {
 
      __pyx_t_1 = __pyx_t_2;
 
      goto __pyx_L5_bool_binop_done;
    }
    __pyx_t_2 = (__pyx_v_dst_stride > 0);
 
    if (__pyx_t_2) {
 
    } else {
 
      __pyx_t_1 = __pyx_t_2;
 
      goto __pyx_L5_bool_binop_done;
    }
 
    /* "View.MemoryView":1149
 *     if ndim == 1:
 *         if (src_stride > 0 and dst_stride > 0 and
 *                 <size_t> src_stride == itemsize == <size_t> dst_stride):             # <<<<<<<<<<<<<<
 *             memcpy(dst_data, src_data, itemsize * <size_t> dst_extent)
 *         else:
*/
    __pyx_t_2 = (((size_t)__pyx_v_src_stride) == __pyx_v_itemsize);
    if (__pyx_t_2) {
      __pyx_t_2 = (__pyx_v_itemsize == ((size_t)__pyx_v_dst_stride));
    }
 
    __pyx_t_1 = __pyx_t_2;
 
    __pyx_L5_bool_binop_done:;
 
    /* "View.MemoryView":1148
 * 
 *     if ndim == 1:
 *         if (src_stride > 0 and dst_stride > 0 and             # <<<<<<<<<<<<<<
 *                 <size_t> src_stride == itemsize == <size_t> dst_stride):
 *             memcpy(dst_data, src_data, itemsize * <size_t> dst_extent)
*/
    if (__pyx_t_1) {
 
 
      /* "View.MemoryView":1150
 *         if (src_stride > 0 and dst_stride > 0 and
 *                 <size_t> src_stride == itemsize == <size_t> dst_stride):
 *             memcpy(dst_data, src_data, itemsize * <size_t> dst_extent)             # <<<<<<<<<<<<<<
 *         else:
 *             for i in range(dst_extent):
*/
      (void)(memcpy(__pyx_v_dst_data, __pyx_v_src_data, (__pyx_v_itemsize * ((size_t)__pyx_v_dst_extent))));
 
      /* "View.MemoryView":1148
 * 
 *     if ndim == 1:
 *         if (src_stride > 0 and dst_stride > 0 and             # <<<<<<<<<<<<<<
 *                 <size_t> src_stride == itemsize == <size_t> dst_stride):
 *             memcpy(dst_data, src_data, itemsize * <size_t> dst_extent)
*/
      goto __pyx_L4;
    }
 
    /* "View.MemoryView":1152
 *             memcpy(dst_data, src_data, itemsize * <size_t> dst_extent)
 *         else:
 *             for i in range(dst_extent):             # <<<<<<<<<<<<<<
 *                 memcpy(dst_data, src_data, itemsize)
 *                 src_data += src_stride
*/
    /*else*/ {
 
      __pyx_t_3 = __pyx_v_dst_extent;
      __pyx_t_4 = __pyx_t_3;
 
      for (__pyx_t_5 = 0; __pyx_t_5 < __pyx_t_4; __pyx_t_5+=1) {
        __pyx_v_i = __pyx_t_5;
 
        /* "View.MemoryView":1153
 *         else:
 *             for i in range(dst_extent):
 *                 memcpy(dst_data, src_data, itemsize)             # <<<<<<<<<<<<<<
 *                 src_data += src_stride
 *                 dst_data += dst_stride
*/
        (void)(memcpy(__pyx_v_dst_data, __pyx_v_src_data, __pyx_v_itemsize));
 
        /* "View.MemoryView":1154
 *             for i in range(dst_extent):
 *                 memcpy(dst_data, src_data, itemsize)
 *                 src_data += src_stride             # <<<<<<<<<<<<<<
 *                 dst_data += dst_stride
 *     else:
*/
        __pyx_v_src_data = (__pyx_v_src_data + __pyx_v_src_stride);
 
        /* "View.MemoryView":1155
 *                 memcpy(dst_data, src_data, itemsize)
 *                 src_data += src_stride
 *                 dst_data += dst_stride             # <<<<<<<<<<<<<<
 *     else:
 *         for i in range(dst_extent):
*/
        __pyx_v_dst_data = (__pyx_v_dst_data + __pyx_v_dst_stride);
      }
 
    }
    __pyx_L4:;
 
    /* "View.MemoryView":1147
 *     cdef Py_ssize_t dst_stride = dst_strides[0]
 * 
 *     if ndim == 1:             # <<<<<<<<<<<<<<
 *         if (src_stride > 0 and dst_stride > 0 and
 *                 <size_t> src_stride == itemsize == <size_t> dst_stride):
*/
    goto __pyx_L3;
  }
 
  /* "View.MemoryView":1157
 *                 dst_data += dst_stride
 *     else:
 *         for i in range(dst_extent):             # <<<<<<<<<<<<<<
 *             _copy_strided_to_strided(src_data, src_strides + 1,
 *                                      dst_data, dst_strides + 1,
*/
  /*else*/ {
 
    __pyx_t_3 = __pyx_v_dst_extent;
    __pyx_t_4 = __pyx_t_3;
 
    for (__pyx_t_5 = 0; __pyx_t_5 < __pyx_t_4; __pyx_t_5+=1) {
      __pyx_v_i = __pyx_t_5;
 
      /* "View.MemoryView":1158
 *     else:
 *         for i in range(dst_extent):
 *             _copy_strided_to_strided(src_data, src_strides + 1,             # <<<<<<<<<<<<<<
 *                                      dst_data, dst_strides + 1,
 *                                      src_shape + 1, dst_shape + 1,
*/
      _copy_strided_to_strided(__pyx_v_src_data, (__pyx_v_src_strides + 1), __pyx_v_dst_data, (__pyx_v_dst_strides + 1), (__pyx_v_src_shape + 1), (__pyx_v_dst_shape + 1), (__pyx_v_ndim - 1), __pyx_v_itemsize);
 
      /* "View.MemoryView":1162
 *                                      src_shape + 1, dst_shape + 1,
 *                                      ndim - 1, itemsize)
 *             src_data += src_stride             # <<<<<<<<<<<<<<
 *             dst_data += dst_stride
 * 
*/
      __pyx_v_src_data = (__pyx_v_src_data + __pyx_v_src_stride);
 
      /* "View.MemoryView":1163
 *                                      ndim - 1, itemsize)
 *             src_data += src_stride
 *             dst_data += dst_stride             # <<<<<<<<<<<<<<
 * 
 * cdef void copy_strided_to_strided(__Pyx_memviewslice *src,
*/
      __pyx_v_dst_data = (__pyx_v_dst_data + __pyx_v_dst_stride);
    }
 
  }
  __pyx_L3:;
 
  /* "View.MemoryView":1134
 *         return 'F'
 * 
 * @cython.cdivision(True)             # <<<<<<<<<<<<<<
 * cdef void _copy_strided_to_strided(char *src_data, Py_ssize_t *src_strides,
 *                                    char *dst_data, Py_ssize_t *dst_strides,
*/
 
  /* function exit code */
 
 
 
 
 
 
 
}
 
/* "View.MemoryView":1165
 *             dst_data += dst_stride
 * 
 * cdef void copy_strided_to_strided(__Pyx_memviewslice *src,             # <<<<<<<<<<<<<<
 *                                   __Pyx_memviewslice *dst,
 *                                   int ndim, size_t itemsize) noexcept nogil:
*/
 
static void copy_strided_to_strided(__Pyx_memviewslice *__pyx_v_src, __Pyx_memviewslice *__pyx_v_dst, int __pyx_v_ndim, size_t __pyx_v_itemsize) {
 
  /* "View.MemoryView":1168
 *                                   __Pyx_memviewslice *dst,
 *                                   int ndim, size_t itemsize) noexcept nogil:
 *     _copy_strided_to_strided(src.data, src.strides, dst.data, dst.strides,             # <<<<<<<<<<<<<<
 *                              src.shape, dst.shape, ndim, itemsize)
 * 
*/
  _copy_strided_to_strided(__pyx_v_src->data, __pyx_v_src->strides, __pyx_v_dst->data, __pyx_v_dst->strides, __pyx_v_src->shape, __pyx_v_dst->shape, __pyx_v_ndim, __pyx_v_itemsize);
 
  /* "View.MemoryView":1165
 *             dst_data += dst_stride
 * 
 * cdef void copy_strided_to_strided(__Pyx_memviewslice *src,             # <<<<<<<<<<<<<<
 *                                   __Pyx_memviewslice *dst,
 *                                   int ndim, size_t itemsize) noexcept nogil:
*/
 
  /* function exit code */
}
 
/* "View.MemoryView":1171
 *                              src.shape, dst.shape, ndim, itemsize)
 * 
 * @cname('__pyx_memoryview_slice_get_size')             # <<<<<<<<<<<<<<
 * cdef size_t slice_get_size(__Pyx_memviewslice *src, int ndim) noexcept nogil:
 *     "Return the size of the memory occupied by the slice in number of bytes"
*/
 
static size_t __pyx_memoryview_slice_get_size(__Pyx_memviewslice *__pyx_v_src, int __pyx_v_ndim) {
  Py_ssize_t __pyx_v_shape;
  size_t __pyx_v_size;
  size_t __pyx_r;
  Py_ssize_t *__pyx_t_1;
  Py_ssize_t *__pyx_t_2;
  Py_ssize_t *__pyx_t_3;
 
  /* "View.MemoryView":1175
 *     "Return the size of the memory occupied by the slice in number of bytes"
 *     cdef Py_ssize_t shape
 *     cdef size_t size = <size_t> src.memview.view.itemsize             # <<<<<<<<<<<<<<
 * 
 *     for shape in src.shape[:ndim]:
*/
  __pyx_v_size = ((size_t)__pyx_v_src->memview->view.itemsize);
 
  /* "View.MemoryView":1177
 *     cdef size_t size = <size_t> src.memview.view.itemsize
 * 
 *     for shape in src.shape[:ndim]:             # <<<<<<<<<<<<<<
 *         size *= <size_t> shape
 * 
*/
  __pyx_t_2 = (__pyx_v_src->shape + __pyx_v_ndim);
 
  for (__pyx_t_3 = __pyx_v_src->shape; __pyx_t_3 < __pyx_t_2; __pyx_t_3++) {
    __pyx_t_1 = __pyx_t_3;
    __pyx_v_shape = (__pyx_t_1[0]);
 
    /* "View.MemoryView":1178
 * 
 *     for shape in src.shape[:ndim]:
 *         size *= <size_t> shape             # <<<<<<<<<<<<<<
 * 
 *     return size
*/
    __pyx_v_size = (__pyx_v_size * ((size_t)__pyx_v_shape));
  }
 
 
  /* "View.MemoryView":1180
 *         size *= <size_t> shape
 * 
 *     return size             # <<<<<<<<<<<<<<
 * 
 * @cname('__pyx_fill_contig_strides_array')
*/
  {
 
    __pyx_r = __pyx_v_size;
  }
  goto __pyx_L0;
 
  /* "View.MemoryView":1171
 *                              src.shape, dst.shape, ndim, itemsize)
 * 
 * @cname('__pyx_memoryview_slice_get_size')             # <<<<<<<<<<<<<<
 * cdef size_t slice_get_size(__Pyx_memviewslice *src, int ndim) noexcept nogil:
 *     "Return the size of the memory occupied by the slice in number of bytes"
*/
 
  /* function exit code */
  __pyx_L0:;
 
 
  return __pyx_r;
}
 
/* "View.MemoryView":1182
 *     return size
 * 
 * @cname('__pyx_fill_contig_strides_array')             # <<<<<<<<<<<<<<
 * cdef Py_ssize_t fill_contig_strides_array(
 *                 Py_ssize_t *shape, Py_ssize_t *strides, Py_ssize_t stride,
*/
 
static Py_ssize_t __pyx_fill_contig_strides_array(Py_ssize_t *__pyx_v_shape, Py_ssize_t *__pyx_v_strides, Py_ssize_t __pyx_v_stride, int __pyx_v_ndim, char __pyx_v_order) {
  int __pyx_v_idx;
  Py_ssize_t __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;
 
 
  /* "View.MemoryView":1192
 *     cdef int idx
 * 
 *     if order == 'F':             # <<<<<<<<<<<<<<
 *         for idx in range(ndim):
 *             strides[idx] = stride
*/
  __pyx_t_1 = (__pyx_v_order == 'F');
 
  if (__pyx_t_1) {
 
 
    /* "View.MemoryView":1193
 * 
 *     if order == 'F':
 *         for idx in range(ndim):             # <<<<<<<<<<<<<<
 *             strides[idx] = stride
 *             stride *= shape[idx]
*/
 
    __pyx_t_2 = __pyx_v_ndim;
    __pyx_t_3 = __pyx_t_2;
 
    for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_3; __pyx_t_4+=1) {
      __pyx_v_idx = __pyx_t_4;
 
      /* "View.MemoryView":1194
 *     if order == 'F':
 *         for idx in range(ndim):
 *             strides[idx] = stride             # <<<<<<<<<<<<<<
 *             stride *= shape[idx]
 *     else:
*/
      (__pyx_v_strides[__pyx_v_idx]) = __pyx_v_stride;
 
      /* "View.MemoryView":1195
 *         for idx in range(ndim):
 *             strides[idx] = stride
 *             stride *= shape[idx]             # <<<<<<<<<<<<<<
 *     else:
 *         for idx in range(ndim - 1, -1, -1):
*/
      __pyx_v_stride = (__pyx_v_stride * (__pyx_v_shape[__pyx_v_idx]));
    }
 
 
    /* "View.MemoryView":1192
 *     cdef int idx
 * 
 *     if order == 'F':             # <<<<<<<<<<<<<<
 *         for idx in range(ndim):
 *             strides[idx] = stride
*/
    goto __pyx_L3;
  }
 
  /* "View.MemoryView":1197
 *             stride *= shape[idx]
 *     else:
 *         for idx in range(ndim - 1, -1, -1):             # <<<<<<<<<<<<<<
 *             strides[idx] = stride
 *             stride *= shape[idx]
*/
  /*else*/ {
    for (__pyx_t_2 = (__pyx_v_ndim - 1); __pyx_t_2 > -1; __pyx_t_2-=1) {
      __pyx_v_idx = __pyx_t_2;
 
      /* "View.MemoryView":1198
 *     else:
 *         for idx in range(ndim - 1, -1, -1):
 *             strides[idx] = stride             # <<<<<<<<<<<<<<
 *             stride *= shape[idx]
 * 
*/
      (__pyx_v_strides[__pyx_v_idx]) = __pyx_v_stride;
 
      /* "View.MemoryView":1199
 *         for idx in range(ndim - 1, -1, -1):
 *             strides[idx] = stride
 *             stride *= shape[idx]             # <<<<<<<<<<<<<<
 * 
 *     return stride
*/
      __pyx_v_stride = (__pyx_v_stride * (__pyx_v_shape[__pyx_v_idx]));
    }
  }
  __pyx_L3:;
 
  /* "View.MemoryView":1201
 *             stride *= shape[idx]
 * 
 *     return stride             # <<<<<<<<<<<<<<
 * 
 * @cname('__pyx_memoryview_copy_data_to_temp')
*/
  {
 
    __pyx_r = __pyx_v_stride;
  }
  goto __pyx_L0;
 
  /* "View.MemoryView":1182
 *     return size
 * 
 * @cname('__pyx_fill_contig_strides_array')             # <<<<<<<<<<<<<<
 * cdef Py_ssize_t fill_contig_strides_array(
 *                 Py_ssize_t *shape, Py_ssize_t *strides, Py_ssize_t stride,
*/
 
  /* function exit code */
  __pyx_L0:;
 
 
  return __pyx_r;
}
 
/* "View.MemoryView":1203
 *     return stride
 * 
 * @cname('__pyx_memoryview_copy_data_to_temp')             # <<<<<<<<<<<<<<
 * cdef void *copy_data_to_temp(__Pyx_memviewslice *src,
 *                              __Pyx_memviewslice *tmpslice,
*/
 
static void *__pyx_memoryview_copy_data_to_temp(__Pyx_memviewslice *__pyx_v_src, __Pyx_memviewslice *__pyx_v_tmpslice, char __pyx_v_order, int __pyx_v_ndim) {
  int __pyx_v_i;
  void *__pyx_v_result;
  size_t __pyx_v_itemsize;
  size_t __pyx_v_size;
  void *__pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  struct __pyx_memoryview_obj *__pyx_t_3;
  int __pyx_t_4;
  int __pyx_t_5;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyGILState_STATE __pyx_gilstate_save;
 
  /* "View.MemoryView":1215
 *     cdef void *result
 * 
 *     cdef size_t itemsize = <size_t> src.memview.view.itemsize             # <<<<<<<<<<<<<<
 *     cdef size_t size = slice_get_size(src, ndim)
 * 
*/
  __pyx_v_itemsize = ((size_t)__pyx_v_src->memview->view.itemsize);
 
  /* "View.MemoryView":1216
 * 
 *     cdef size_t itemsize = <size_t> src.memview.view.itemsize
 *     cdef size_t size = slice_get_size(src, ndim)             # <<<<<<<<<<<<<<
 * 
 *     result = malloc(size)
*/
  __pyx_v_size = __pyx_memoryview_slice_get_size(__pyx_v_src, __pyx_v_ndim);
 
  /* "View.MemoryView":1218
 *     cdef size_t size = slice_get_size(src, ndim)
 * 
 *     result = malloc(size)             # <<<<<<<<<<<<<<
 *     if cython.unlikely(not result):
 *         _err_no_memory()
*/
  __pyx_v_result = malloc(__pyx_v_size);
 
  /* "View.MemoryView":1219
 * 
 *     result = malloc(size)
 *     if cython.unlikely(not result):             # <<<<<<<<<<<<<<
 *         _err_no_memory()
 * 
*/
  __pyx_t_1 = (!(__pyx_v_result != 0));
 
  if (unlikely(__pyx_t_1)) {
 
 
    /* "View.MemoryView":1220
 *     result = malloc(size)
 *     if cython.unlikely(not result):
 *         _err_no_memory()             # <<<<<<<<<<<<<<
 * 
 * 
*/
    __pyx_t_2 = __pyx_memoryview_err_no_memory(); if (unlikely(__pyx_t_2 == ((int)-1))) __PYX_ERR(1, 1220, __pyx_L1_error)
 
 
    /* "View.MemoryView":1219
 * 
 *     result = malloc(size)
 *     if cython.unlikely(not result):             # <<<<<<<<<<<<<<
 *         _err_no_memory()
 * 
*/
  }
 
  /* "View.MemoryView":1223
 * 
 * 
 *     tmpslice.data = <char *> result             # <<<<<<<<<<<<<<
 *     tmpslice.memview = src.memview
 *     for i in range(ndim):
*/
  __pyx_v_tmpslice->data = ((char *)__pyx_v_result);
 
  /* "View.MemoryView":1224
 * 
 *     tmpslice.data = <char *> result
 *     tmpslice.memview = src.memview             # <<<<<<<<<<<<<<
 *     for i in range(ndim):
 *         tmpslice.shape[i] = src.shape[i]
*/
  __pyx_t_3 = __pyx_v_src->memview;
 
  __pyx_v_tmpslice->memview = __pyx_t_3;
 
  /* "View.MemoryView":1225
 *     tmpslice.data = <char *> result
 *     tmpslice.memview = src.memview
 *     for i in range(ndim):             # <<<<<<<<<<<<<<
 *         tmpslice.shape[i] = src.shape[i]
 *         tmpslice.suboffsets[i] = -1
*/
 
  __pyx_t_2 = __pyx_v_ndim;
  __pyx_t_4 = __pyx_t_2;
 
  for (__pyx_t_5 = 0; __pyx_t_5 < __pyx_t_4; __pyx_t_5+=1) {
    __pyx_v_i = __pyx_t_5;
 
    /* "View.MemoryView":1226
 *     tmpslice.memview = src.memview
 *     for i in range(ndim):
 *         tmpslice.shape[i] = src.shape[i]             # <<<<<<<<<<<<<<
 *         tmpslice.suboffsets[i] = -1
 * 
*/
    (__pyx_v_tmpslice->shape[__pyx_v_i]) = (__pyx_v_src->shape[__pyx_v_i]);
 
    /* "View.MemoryView":1227
 *     for i in range(ndim):
 *         tmpslice.shape[i] = src.shape[i]
 *         tmpslice.suboffsets[i] = -1             # <<<<<<<<<<<<<<
 * 
 *     fill_contig_strides_array(&tmpslice.shape[0], &tmpslice.strides[0], <Py_ssize_t> itemsize, ndim, order)
*/
    (__pyx_v_tmpslice->suboffsets[__pyx_v_i]) = -1L;
  }
 
 
  /* "View.MemoryView":1229
 *         tmpslice.suboffsets[i] = -1
 * 
 *     fill_contig_strides_array(&tmpslice.shape[0], &tmpslice.strides[0], <Py_ssize_t> itemsize, ndim, order)             # <<<<<<<<<<<<<<
 * 
 * 
*/
  (void)(__pyx_fill_contig_strides_array((&(__pyx_v_tmpslice->shape[0])), (&(__pyx_v_tmpslice->strides[0])), ((Py_ssize_t)__pyx_v_itemsize), __pyx_v_ndim, __pyx_v_order));
 
  /* "View.MemoryView":1232
 * 
 * 
 *     for i in range(ndim):             # <<<<<<<<<<<<<<
 *         if tmpslice.shape[i] == 1:
 *             tmpslice.strides[i] = 0
*/
 
  __pyx_t_2 = __pyx_v_ndim;
  __pyx_t_4 = __pyx_t_2;
 
  for (__pyx_t_5 = 0; __pyx_t_5 < __pyx_t_4; __pyx_t_5+=1) {
    __pyx_v_i = __pyx_t_5;
 
    /* "View.MemoryView":1233
 * 
 *     for i in range(ndim):
 *         if tmpslice.shape[i] == 1:             # <<<<<<<<<<<<<<
 *             tmpslice.strides[i] = 0
 * 
*/
    __pyx_t_1 = ((__pyx_v_tmpslice->shape[__pyx_v_i]) == 1);
 
    if (__pyx_t_1) {
 
 
      /* "View.MemoryView":1234
 *     for i in range(ndim):
 *         if tmpslice.shape[i] == 1:
 *             tmpslice.strides[i] = 0             # <<<<<<<<<<<<<<
 * 
 *     if slice_is_contig(src[0], order, ndim):
*/
      (__pyx_v_tmpslice->strides[__pyx_v_i]) = 0;
 
      /* "View.MemoryView":1233
 * 
 *     for i in range(ndim):
 *         if tmpslice.shape[i] == 1:             # <<<<<<<<<<<<<<
 *             tmpslice.strides[i] = 0
 * 
*/
    }
  }
 
 
  /* "View.MemoryView":1236
 *             tmpslice.strides[i] = 0
 * 
 *     if slice_is_contig(src[0], order, ndim):             # <<<<<<<<<<<<<<
 *         memcpy(result, src.data, size)
 *     else:
*/
  __pyx_t_1 = __pyx_memviewslice_is_contig((__pyx_v_src[0]), __pyx_v_order, __pyx_v_ndim);
 
  if (__pyx_t_1) {
 
 
    /* "View.MemoryView":1237
 * 
 *     if slice_is_contig(src[0], order, ndim):
 *         memcpy(result, src.data, size)             # <<<<<<<<<<<<<<
 *     else:
 *         copy_strided_to_strided(src, tmpslice, ndim, itemsize)
*/
    (void)(memcpy(__pyx_v_result, __pyx_v_src->data, __pyx_v_size));
 
    /* "View.MemoryView":1236
 *             tmpslice.strides[i] = 0
 * 
 *     if slice_is_contig(src[0], order, ndim):             # <<<<<<<<<<<<<<
 *         memcpy(result, src.data, size)
 *     else:
*/
    goto __pyx_L9;
  }
 
  /* "View.MemoryView":1239
 *         memcpy(result, src.data, size)
 *     else:
 *         copy_strided_to_strided(src, tmpslice, ndim, itemsize)             # <<<<<<<<<<<<<<
 * 
 *     return result
*/
  /*else*/ {
    copy_strided_to_strided(__pyx_v_src, __pyx_v_tmpslice, __pyx_v_ndim, __pyx_v_itemsize);
  }
  __pyx_L9:;
 
  /* "View.MemoryView":1241
 *         copy_strided_to_strided(src, tmpslice, ndim, itemsize)
 * 
 *     return result             # <<<<<<<<<<<<<<
 * 
 * 
*/
  {
 
    __pyx_r = __pyx_v_result;
  }
  goto __pyx_L0;
 
  /* "View.MemoryView":1203
 *     return stride
 * 
 * @cname('__pyx_memoryview_copy_data_to_temp')             # <<<<<<<<<<<<<<
 * cdef void *copy_data_to_temp(__Pyx_memviewslice *src,
 *                              __Pyx_memviewslice *tmpslice,
*/
 
  /* function exit code */
  __pyx_L1_error:;
  __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
  __Pyx_AddTraceback("View.MemoryView.copy_data_to_temp", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __Pyx_PyGILState_Release(__pyx_gilstate_save);
  __pyx_L0:;
 
 
 
 
  return __pyx_r;
}
 
/* "View.MemoryView":1246
 * 
 * 
 * @cname('__pyx_memoryview_err_extents')             # <<<<<<<<<<<<<<
 * cdef int _err_extents(int i, Py_ssize_t extent1,
 *                              Py_ssize_t extent2) except -1 with gil:
*/
 
static int __pyx_memoryview_err_extents(int __pyx_v_i, Py_ssize_t __pyx_v_extent1, Py_ssize_t __pyx_v_extent2) {
  int __pyx_r;
  PyGILState_STATE __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
 
 
 
 
  /* "View.MemoryView":1249
 * cdef int _err_extents(int i, Py_ssize_t extent1,
 *                              Py_ssize_t extent2) except -1 with gil:
 *     PyErr_Format(             # <<<<<<<<<<<<<<
 *         PyExc_ValueError,
 *         "got differing extents in dimension %d (got %zd and %zd)",
*/
  (void)(PyErr_Format(PyExc_ValueError, __pyx_k_got_differing_extents_in_dimensi, __pyx_v_i, __pyx_v_extent1, __pyx_v_extent2));
 
  /* "View.MemoryView":1253
 *         "got differing extents in dimension %d (got %zd and %zd)",
 *         i, extent1, extent2)
 *     return -1             # <<<<<<<<<<<<<<
 * 
 * @cname('__pyx_memoryview_err_dim')
*/
  {
 
    __pyx_r = -1;
  }
  goto __pyx_L0;
 
  /* "View.MemoryView":1246
 * 
 * 
 * @cname('__pyx_memoryview_err_extents')             # <<<<<<<<<<<<<<
 * cdef int _err_extents(int i, Py_ssize_t extent1,
 *                              Py_ssize_t extent2) except -1 with gil:
*/
 
  /* function exit code */
  __pyx_L0:;
 
 
 
 
  __Pyx_PyGILState_Release(__pyx_gilstate_save);
  return __pyx_r;
}
 
/* "View.MemoryView":1255
 *     return -1
 * 
 * @cname('__pyx_memoryview_err_dim')             # <<<<<<<<<<<<<<
 * cdef int _err_dim(PyObject *error, const char* msg, int dim) except -1 with gil:
 *     PyErr_Format(error, msg, dim)
*/
 
static int __pyx_memoryview_err_dim(PyObject *__pyx_v_error, char const *__pyx_v_msg, int __pyx_v_dim) {
  int __pyx_r;
  PyGILState_STATE __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
 
 
 
 
  /* "View.MemoryView":1257
 * @cname('__pyx_memoryview_err_dim')
 * cdef int _err_dim(PyObject *error, const char* msg, int dim) except -1 with gil:
 *     PyErr_Format(error, msg, dim)             # <<<<<<<<<<<<<<
 *     return -1
 * 
*/
  (void)(PyErr_Format(__pyx_v_error, __pyx_v_msg, __pyx_v_dim));
 
  /* "View.MemoryView":1258
 * cdef int _err_dim(PyObject *error, const char* msg, int dim) except -1 with gil:
 *     PyErr_Format(error, msg, dim)
 *     return -1             # <<<<<<<<<<<<<<
 * 
 * @cname('__pyx_memoryview_err')
*/
  {
 
    __pyx_r = -1;
  }
  goto __pyx_L0;
 
  /* "View.MemoryView":1255
 *     return -1
 * 
 * @cname('__pyx_memoryview_err_dim')             # <<<<<<<<<<<<<<
 * cdef int _err_dim(PyObject *error, const char* msg, int dim) except -1 with gil:
 *     PyErr_Format(error, msg, dim)
*/
 
  /* function exit code */
  __pyx_L0:;
 
 
 
 
  __Pyx_PyGILState_Release(__pyx_gilstate_save);
  return __pyx_r;
}
 
/* "View.MemoryView":1260
 *     return -1
 * 
 * @cname('__pyx_memoryview_err')             # <<<<<<<<<<<<<<
 * cdef int _err(PyObject *error, const char* msg) except -1 with gil:
 *     PyErr_SetString(error, msg)
*/
 
static int __pyx_memoryview_err(PyObject *__pyx_v_error, char const *__pyx_v_msg) {
  int __pyx_r;
  PyGILState_STATE __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
 
 
 
  /* "View.MemoryView":1262
 * @cname('__pyx_memoryview_err')
 * cdef int _err(PyObject *error, const char* msg) except -1 with gil:
 *     PyErr_SetString(error, msg)             # <<<<<<<<<<<<<<
 *     return -1
 * 
*/
  (void)(PyErr_SetString(__pyx_v_error, __pyx_v_msg));
 
  /* "View.MemoryView":1263
 * cdef int _err(PyObject *error, const char* msg) except -1 with gil:
 *     PyErr_SetString(error, msg)
 *     return -1             # <<<<<<<<<<<<<<
 * 
 * @cname('__pyx_memoryview_err_no_memory')
*/
  {
 
    __pyx_r = -1;
  }
  goto __pyx_L0;
 
  /* "View.MemoryView":1260
 *     return -1
 * 
 * @cname('__pyx_memoryview_err')             # <<<<<<<<<<<<<<
 * cdef int _err(PyObject *error, const char* msg) except -1 with gil:
 *     PyErr_SetString(error, msg)
*/
 
  /* function exit code */
  __pyx_L0:;
 
 
 
  __Pyx_PyGILState_Release(__pyx_gilstate_save);
  return __pyx_r;
}
 
/* "View.MemoryView":1265
 *     return -1
 * 
 * @cname('__pyx_memoryview_err_no_memory')             # <<<<<<<<<<<<<<
 * cdef int _err_no_memory() except -1 with gil:
 *     raise MemoryError
*/
 
static int __pyx_memoryview_err_no_memory(void) {
  int __pyx_r;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyGILState_STATE __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
 
  /* "View.MemoryView":1267
 * @cname('__pyx_memoryview_err_no_memory')
 * cdef int _err_no_memory() except -1 with gil:
 *     raise MemoryError             # <<<<<<<<<<<<<<
 * 
 * 
*/
  PyErr_NoMemory(); __PYX_ERR(1, 1267, __pyx_L1_error)
 
  /* "View.MemoryView":1265
 *     return -1
 * 
 * @cname('__pyx_memoryview_err_no_memory')             # <<<<<<<<<<<<<<
 * cdef int _err_no_memory() except -1 with gil:
 *     raise MemoryError
*/
 
  /* function exit code */
  __pyx_L1_error:;
  __Pyx_AddTraceback("View.MemoryView._err_no_memory", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = -1;
 
  __Pyx_PyGILState_Release(__pyx_gilstate_save);
  return __pyx_r;
}
 
/* "View.MemoryView":1271
 * 
 * 
 * @cname('__pyx_memoryview_err_ValueError')             # <<<<<<<<<<<<<<
 * cdef int _err_ValueError(const char* msg) except -1:
 *     PyErr_SetString(PyExc_ValueError, msg)
*/
 
static int __pyx_memoryview_err_ValueError(char const *__pyx_v_msg) {
  int __pyx_r;
 
  /* "View.MemoryView":1273
 * @cname('__pyx_memoryview_err_ValueError')
 * cdef int _err_ValueError(const char* msg) except -1:
 *     PyErr_SetString(PyExc_ValueError, msg)             # <<<<<<<<<<<<<<
 *     return -1
 * 
*/
  (void)(PyErr_SetString(PyExc_ValueError, __pyx_v_msg));
 
  /* "View.MemoryView":1274
 * cdef int _err_ValueError(const char* msg) except -1:
 *     PyErr_SetString(PyExc_ValueError, msg)
 *     return -1             # <<<<<<<<<<<<<<
 * 
 * @cname('__pyx_memoryview_err_IndexError')
*/
  {
 
    __pyx_r = -1;
  }
  goto __pyx_L0;
 
  /* "View.MemoryView":1271
 * 
 * 
 * @cname('__pyx_memoryview_err_ValueError')             # <<<<<<<<<<<<<<
 * cdef int _err_ValueError(const char* msg) except -1:
 *     PyErr_SetString(PyExc_ValueError, msg)
*/
 
  /* function exit code */
  __pyx_L0:;
 
  return __pyx_r;
}
 
/* "View.MemoryView":1276
 *     return -1
 * 
 * @cname('__pyx_memoryview_err_IndexError')             # <<<<<<<<<<<<<<
 * cdef int _err_IndexError(const char* msg, Py_ssize_t index) except -1:
 *     PyErr_Format(PyExc_IndexError, msg, index)
*/
 
static int __pyx_memoryview_err_IndexError(char const *__pyx_v_msg, Py_ssize_t __pyx_v_index) {
  int __pyx_r;
 
  /* "View.MemoryView":1278
 * @cname('__pyx_memoryview_err_IndexError')
 * cdef int _err_IndexError(const char* msg, Py_ssize_t index) except -1:
 *     PyErr_Format(PyExc_IndexError, msg, index)             # <<<<<<<<<<<<<<
 *     return -1
 * 
*/
  (void)(PyErr_Format(PyExc_IndexError, __pyx_v_msg, __pyx_v_index));
 
  /* "View.MemoryView":1279
 * cdef int _err_IndexError(const char* msg, Py_ssize_t index) except -1:
 *     PyErr_Format(PyExc_IndexError, msg, index)
 *     return -1             # <<<<<<<<<<<<<<
 * 
 * 
*/
  {
 
    __pyx_r = -1;
  }
  goto __pyx_L0;
 
  /* "View.MemoryView":1276
 *     return -1
 * 
 * @cname('__pyx_memoryview_err_IndexError')             # <<<<<<<<<<<<<<
 * cdef int _err_IndexError(const char* msg, Py_ssize_t index) except -1:
 *     PyErr_Format(PyExc_IndexError, msg, index)
*/
 
  /* function exit code */
  __pyx_L0:;
 
  return __pyx_r;
}
 
/* "View.MemoryView":1282
 * 
 * 
 * @cname('__pyx_memoryview_copy_contents')             # <<<<<<<<<<<<<<
 * cdef int memoryview_copy_contents(__Pyx_memviewslice src,
 *                                   __Pyx_memviewslice dst,
*/
 
static int __pyx_memoryview_copy_contents(__Pyx_memviewslice __pyx_v_src, __Pyx_memviewslice __pyx_v_dst, int __pyx_v_src_ndim, int __pyx_v_dst_ndim, int __pyx_v_dtype_is_object) {
  void *__pyx_v_tmpdata;
  size_t __pyx_v_itemsize;
  int __pyx_v_i;
  char __pyx_v_order;
  int __pyx_v_broadcasting;
  int __pyx_v_direct_copy;
  __Pyx_memviewslice __pyx_v_tmp;
  int __pyx_v_ndim;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;
  int __pyx_t_5;
  void *__pyx_t_6;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyGILState_STATE __pyx_gilstate_save;
 
 
  /* "View.MemoryView":1291
 *     Check for overlapping memory and verify the shapes.
 *     """
 *     cdef void *tmpdata = NULL             # <<<<<<<<<<<<<<
 *     cdef size_t itemsize = <size_t> src.memview.view.itemsize
 *     cdef int i
*/
  __pyx_v_tmpdata = NULL;
 
  /* "View.MemoryView":1292
 *     """
 *     cdef void *tmpdata = NULL
 *     cdef size_t itemsize = <size_t> src.memview.view.itemsize             # <<<<<<<<<<<<<<
 *     cdef int i
 *     cdef char order = get_best_order(&src, src_ndim)
*/
  __pyx_v_itemsize = ((size_t)__pyx_v_src.memview->view.itemsize);
 
  /* "View.MemoryView":1294
 *     cdef size_t itemsize = <size_t> src.memview.view.itemsize
 *     cdef int i
 *     cdef char order = get_best_order(&src, src_ndim)             # <<<<<<<<<<<<<<
 *     cdef bint broadcasting = False
 *     cdef bint direct_copy = False
*/
  __pyx_v_order = __pyx_get_best_slice_order((&__pyx_v_src), __pyx_v_src_ndim);
 
  /* "View.MemoryView":1295
 *     cdef int i
 *     cdef char order = get_best_order(&src, src_ndim)
 *     cdef bint broadcasting = False             # <<<<<<<<<<<<<<
 *     cdef bint direct_copy = False
 *     cdef __Pyx_memviewslice tmp
*/
  __pyx_v_broadcasting = 0;
 
  /* "View.MemoryView":1296
 *     cdef char order = get_best_order(&src, src_ndim)
 *     cdef bint broadcasting = False
 *     cdef bint direct_copy = False             # <<<<<<<<<<<<<<
 *     cdef __Pyx_memviewslice tmp
 * 
*/
  __pyx_v_direct_copy = 0;
 
  /* "View.MemoryView":1299
 *     cdef __Pyx_memviewslice tmp
 * 
 *     if src_ndim < dst_ndim:             # <<<<<<<<<<<<<<
 *         broadcast_leading(&src, src_ndim, dst_ndim)
 *     elif dst_ndim < src_ndim:
*/
  __pyx_t_1 = (__pyx_v_src_ndim < __pyx_v_dst_ndim);
 
  if (__pyx_t_1) {
 
 
    /* "View.MemoryView":1300
 * 
 *     if src_ndim < dst_ndim:
 *         broadcast_leading(&src, src_ndim, dst_ndim)             # <<<<<<<<<<<<<<
 *     elif dst_ndim < src_ndim:
 *         broadcast_leading(&dst, dst_ndim, src_ndim)
*/
    __pyx_memoryview_broadcast_leading((&__pyx_v_src), __pyx_v_src_ndim, __pyx_v_dst_ndim);
 
    /* "View.MemoryView":1299
 *     cdef __Pyx_memviewslice tmp
 * 
 *     if src_ndim < dst_ndim:             # <<<<<<<<<<<<<<
 *         broadcast_leading(&src, src_ndim, dst_ndim)
 *     elif dst_ndim < src_ndim:
*/
    goto __pyx_L3;
  }
 
  /* "View.MemoryView":1301
 *     if src_ndim < dst_ndim:
 *         broadcast_leading(&src, src_ndim, dst_ndim)
 *     elif dst_ndim < src_ndim:             # <<<<<<<<<<<<<<
 *         broadcast_leading(&dst, dst_ndim, src_ndim)
 * 
*/
  __pyx_t_1 = (__pyx_v_dst_ndim < __pyx_v_src_ndim);
 
  if (__pyx_t_1) {
 
 
    /* "View.MemoryView":1302
 *         broadcast_leading(&src, src_ndim, dst_ndim)
 *     elif dst_ndim < src_ndim:
 *         broadcast_leading(&dst, dst_ndim, src_ndim)             # <<<<<<<<<<<<<<
 * 
 *     cdef int ndim = max(src_ndim, dst_ndim)
*/
    __pyx_memoryview_broadcast_leading((&__pyx_v_dst), __pyx_v_dst_ndim, __pyx_v_src_ndim);
 
    /* "View.MemoryView":1301
 *     if src_ndim < dst_ndim:
 *         broadcast_leading(&src, src_ndim, dst_ndim)
 *     elif dst_ndim < src_ndim:             # <<<<<<<<<<<<<<
 *         broadcast_leading(&dst, dst_ndim, src_ndim)
 * 
*/
  }
  __pyx_L3:;
 
  /* "View.MemoryView":1304
 *         broadcast_leading(&dst, dst_ndim, src_ndim)
 * 
 *     cdef int ndim = max(src_ndim, dst_ndim)             # <<<<<<<<<<<<<<
 * 
 *     for i in range(ndim):
*/
 
  __pyx_t_2 = __pyx_v_dst_ndim;
 
  __pyx_t_3 = __pyx_v_src_ndim;
  __pyx_t_1 = (__pyx_t_2 > __pyx_t_3);
 
  if (__pyx_t_1) {
 
    __pyx_t_4 = __pyx_t_2;
  } else {
 
    __pyx_t_4 = __pyx_t_3;
  }
 
  __pyx_v_ndim = __pyx_t_4;
 
 
  /* "View.MemoryView":1306
 *     cdef int ndim = max(src_ndim, dst_ndim)
 * 
 *     for i in range(ndim):             # <<<<<<<<<<<<<<
 *         if src.shape[i] != dst.shape[i]:
 *             if cython.likely(src.shape[i] == 1):
*/
 
  __pyx_t_4 = __pyx_v_ndim;
  __pyx_t_2 = __pyx_t_4;
 
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;
 
    /* "View.MemoryView":1307
 * 
 *     for i in range(ndim):
 *         if src.shape[i] != dst.shape[i]:             # <<<<<<<<<<<<<<
 *             if cython.likely(src.shape[i] == 1):
 *                 broadcasting = True
*/
    __pyx_t_1 = ((__pyx_v_src.shape[__pyx_v_i]) != (__pyx_v_dst.shape[__pyx_v_i]));
 
    if (__pyx_t_1) {
 
 
      /* "View.MemoryView":1308
 *     for i in range(ndim):
 *         if src.shape[i] != dst.shape[i]:
 *             if cython.likely(src.shape[i] == 1):             # <<<<<<<<<<<<<<
 *                 broadcasting = True
 *                 src.strides[i] = 0
*/
      __pyx_t_1 = ((__pyx_v_src.shape[__pyx_v_i]) == 1);
 
      if (likely(__pyx_t_1)) {
 
 
        /* "View.MemoryView":1309
 *         if src.shape[i] != dst.shape[i]:
 *             if cython.likely(src.shape[i] == 1):
 *                 broadcasting = True             # <<<<<<<<<<<<<<
 *                 src.strides[i] = 0
 *             else:
*/
        __pyx_v_broadcasting = 1;
 
        /* "View.MemoryView":1310
 *             if cython.likely(src.shape[i] == 1):
 *                 broadcasting = True
 *                 src.strides[i] = 0             # <<<<<<<<<<<<<<
 *             else:
 *                 _err_extents(i, dst.shape[i], src.shape[i])
*/
        (__pyx_v_src.strides[__pyx_v_i]) = 0;
 
        /* "View.MemoryView":1308
 *     for i in range(ndim):
 *         if src.shape[i] != dst.shape[i]:
 *             if cython.likely(src.shape[i] == 1):             # <<<<<<<<<<<<<<
 *                 broadcasting = True
 *                 src.strides[i] = 0
*/
        goto __pyx_L7;
      }
 
      /* "View.MemoryView":1312
 *                 src.strides[i] = 0
 *             else:
 *                 _err_extents(i, dst.shape[i], src.shape[i])             # <<<<<<<<<<<<<<
 * 
 *         if cython.unlikely(src.suboffsets[i] >= 0):
*/
      /*else*/ {
        __pyx_t_5 = __pyx_memoryview_err_extents(__pyx_v_i, (__pyx_v_dst.shape[__pyx_v_i]), (__pyx_v_src.shape[__pyx_v_i])); if (unlikely(__pyx_t_5 == ((int)-1))) __PYX_ERR(1, 1312, __pyx_L1_error)
 
      }
      __pyx_L7:;
 
      /* "View.MemoryView":1307
 * 
 *     for i in range(ndim):
 *         if src.shape[i] != dst.shape[i]:             # <<<<<<<<<<<<<<
 *             if cython.likely(src.shape[i] == 1):
 *                 broadcasting = True
*/
    }
 
    /* "View.MemoryView":1314
 *                 _err_extents(i, dst.shape[i], src.shape[i])
 * 
 *         if cython.unlikely(src.suboffsets[i] >= 0):             # <<<<<<<<<<<<<<
 *             _err_dim(PyExc_ValueError, "Dimension %d is not direct", i)
 * 
*/
    __pyx_t_1 = ((__pyx_v_src.suboffsets[__pyx_v_i]) >= 0);
 
    if (unlikely(__pyx_t_1)) {
 
 
      /* "View.MemoryView":1315
 * 
 *         if cython.unlikely(src.suboffsets[i] >= 0):
 *             _err_dim(PyExc_ValueError, "Dimension %d is not direct", i)             # <<<<<<<<<<<<<<
 * 
 *     if slices_overlap(&src, &dst, ndim, itemsize):
*/
      __pyx_t_5 = __pyx_memoryview_err_dim(PyExc_ValueError, __pyx_k_Dimension_d_is_not_direct, __pyx_v_i); if (unlikely(__pyx_t_5 == ((int)-1))) __PYX_ERR(1, 1315, __pyx_L1_error)
 
 
      /* "View.MemoryView":1314
 *                 _err_extents(i, dst.shape[i], src.shape[i])
 * 
 *         if cython.unlikely(src.suboffsets[i] >= 0):             # <<<<<<<<<<<<<<
 *             _err_dim(PyExc_ValueError, "Dimension %d is not direct", i)
 * 
*/
    }
  }
 
 
  /* "View.MemoryView":1317
 *             _err_dim(PyExc_ValueError, "Dimension %d is not direct", i)
 * 
 *     if slices_overlap(&src, &dst, ndim, itemsize):             # <<<<<<<<<<<<<<
 * 
 *         if not slice_is_contig(src, order, ndim):
*/
  __pyx_t_1 = __pyx_slices_overlap((&__pyx_v_src), (&__pyx_v_dst), __pyx_v_ndim, __pyx_v_itemsize);
 
  if (__pyx_t_1) {
 
 
    /* "View.MemoryView":1319
 *     if slices_overlap(&src, &dst, ndim, itemsize):
 * 
 *         if not slice_is_contig(src, order, ndim):             # <<<<<<<<<<<<<<
 *             order = get_best_order(&dst, ndim)
 * 
*/
    __pyx_t_1 = (!__pyx_memviewslice_is_contig(__pyx_v_src, __pyx_v_order, __pyx_v_ndim));
 
    if (__pyx_t_1) {
 
 
      /* "View.MemoryView":1320
 * 
 *         if not slice_is_contig(src, order, ndim):
 *             order = get_best_order(&dst, ndim)             # <<<<<<<<<<<<<<
 * 
 *         tmpdata = copy_data_to_temp(&src, &tmp, order, ndim)
*/
      __pyx_v_order = __pyx_get_best_slice_order((&__pyx_v_dst), __pyx_v_ndim);
 
      /* "View.MemoryView":1319
 *     if slices_overlap(&src, &dst, ndim, itemsize):
 * 
 *         if not slice_is_contig(src, order, ndim):             # <<<<<<<<<<<<<<
 *             order = get_best_order(&dst, ndim)
 * 
*/
    }
 
    /* "View.MemoryView":1322
 *             order = get_best_order(&dst, ndim)
 * 
 *         tmpdata = copy_data_to_temp(&src, &tmp, order, ndim)             # <<<<<<<<<<<<<<
 *         src = tmp
 * 
*/
    __pyx_t_6 = __pyx_memoryview_copy_data_to_temp((&__pyx_v_src), (&__pyx_v_tmp), __pyx_v_order, __pyx_v_ndim); if (unlikely(__pyx_t_6 == ((void *)NULL))) __PYX_ERR(1, 1322, __pyx_L1_error)
    __pyx_v_tmpdata = __pyx_t_6;
 
    /* "View.MemoryView":1323
 * 
 *         tmpdata = copy_data_to_temp(&src, &tmp, order, ndim)
 *         src = tmp             # <<<<<<<<<<<<<<
 * 
 *     if not broadcasting:
*/
    __pyx_v_src = __pyx_v_tmp;
 
    /* "View.MemoryView":1317
 *             _err_dim(PyExc_ValueError, "Dimension %d is not direct", i)
 * 
 *     if slices_overlap(&src, &dst, ndim, itemsize):             # <<<<<<<<<<<<<<
 * 
 *         if not slice_is_contig(src, order, ndim):
*/
  }
 
  /* "View.MemoryView":1325
 *         src = tmp
 * 
 *     if not broadcasting:             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __pyx_t_1 = (!__pyx_v_broadcasting);
 
  if (__pyx_t_1) {
 
 
    /* "View.MemoryView":1328
 * 
 * 
 *         if slice_is_contig(src, 'C', ndim):             # <<<<<<<<<<<<<<
 *             direct_copy = slice_is_contig(dst, 'C', ndim)
 *         elif slice_is_contig(src, 'F', ndim):
*/
    __pyx_t_1 = __pyx_memviewslice_is_contig(__pyx_v_src, 'C', __pyx_v_ndim);
 
    if (__pyx_t_1) {
 
 
      /* "View.MemoryView":1329
 * 
 *         if slice_is_contig(src, 'C', ndim):
 *             direct_copy = slice_is_contig(dst, 'C', ndim)             # <<<<<<<<<<<<<<
 *         elif slice_is_contig(src, 'F', ndim):
 *             direct_copy = slice_is_contig(dst, 'F', ndim)
*/
      __pyx_v_direct_copy = __pyx_memviewslice_is_contig(__pyx_v_dst, 'C', __pyx_v_ndim);
 
      /* "View.MemoryView":1328
 * 
 * 
 *         if slice_is_contig(src, 'C', ndim):             # <<<<<<<<<<<<<<
 *             direct_copy = slice_is_contig(dst, 'C', ndim)
 *         elif slice_is_contig(src, 'F', ndim):
*/
      goto __pyx_L12;
    }
 
    /* "View.MemoryView":1330
 *         if slice_is_contig(src, 'C', ndim):
 *             direct_copy = slice_is_contig(dst, 'C', ndim)
 *         elif slice_is_contig(src, 'F', ndim):             # <<<<<<<<<<<<<<
 *             direct_copy = slice_is_contig(dst, 'F', ndim)
 * 
*/
    __pyx_t_1 = __pyx_memviewslice_is_contig(__pyx_v_src, 'F', __pyx_v_ndim);
 
    if (__pyx_t_1) {
 
 
      /* "View.MemoryView":1331
 *             direct_copy = slice_is_contig(dst, 'C', ndim)
 *         elif slice_is_contig(src, 'F', ndim):
 *             direct_copy = slice_is_contig(dst, 'F', ndim)             # <<<<<<<<<<<<<<
 * 
 *         if direct_copy:
*/
      __pyx_v_direct_copy = __pyx_memviewslice_is_contig(__pyx_v_dst, 'F', __pyx_v_ndim);
 
      /* "View.MemoryView":1330
 *         if slice_is_contig(src, 'C', ndim):
 *             direct_copy = slice_is_contig(dst, 'C', ndim)
 *         elif slice_is_contig(src, 'F', ndim):             # <<<<<<<<<<<<<<
 *             direct_copy = slice_is_contig(dst, 'F', ndim)
 * 
*/
    }
    __pyx_L12:;
 
    /* "View.MemoryView":1333
 *             direct_copy = slice_is_contig(dst, 'F', ndim)
 * 
 *         if direct_copy:             # <<<<<<<<<<<<<<
 * 
 *             refcount_copying(&dst, dtype_is_object, ndim, inc=False)
*/
    if (__pyx_v_direct_copy) {
 
      /* "View.MemoryView":1335
 *         if direct_copy:
 * 
 *             refcount_copying(&dst, dtype_is_object, ndim, inc=False)             # <<<<<<<<<<<<<<
 *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))
 *             refcount_copying(&dst, dtype_is_object, ndim, inc=True)
*/
      __pyx_memoryview_refcount_copying((&__pyx_v_dst), __pyx_v_dtype_is_object, __pyx_v_ndim, 0);
 
      /* "View.MemoryView":1336
 * 
 *             refcount_copying(&dst, dtype_is_object, ndim, inc=False)
 *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))             # <<<<<<<<<<<<<<
 *             refcount_copying(&dst, dtype_is_object, ndim, inc=True)
 *             free(tmpdata)
*/
      (void)(memcpy(__pyx_v_dst.data, __pyx_v_src.data, __pyx_memoryview_slice_get_size((&__pyx_v_src), __pyx_v_ndim)));
 
      /* "View.MemoryView":1337
 *             refcount_copying(&dst, dtype_is_object, ndim, inc=False)
 *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))
 *             refcount_copying(&dst, dtype_is_object, ndim, inc=True)             # <<<<<<<<<<<<<<
 *             free(tmpdata)
 *             return 0
*/
      __pyx_memoryview_refcount_copying((&__pyx_v_dst), __pyx_v_dtype_is_object, __pyx_v_ndim, 1);
 
      /* "View.MemoryView":1338
 *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))
 *             refcount_copying(&dst, dtype_is_object, ndim, inc=True)
 *             free(tmpdata)             # <<<<<<<<<<<<<<
 *             return 0
 * 
*/
      free(__pyx_v_tmpdata);
 
      /* "View.MemoryView":1339
 *             refcount_copying(&dst, dtype_is_object, ndim, inc=True)
 *             free(tmpdata)
 *             return 0             # <<<<<<<<<<<<<<
 * 
 *     if order == 'F' == get_best_order(&dst, ndim):
*/
      {
 
        __pyx_r = 0;
      }
      goto __pyx_L0;
 
      /* "View.MemoryView":1333
 *             direct_copy = slice_is_contig(dst, 'F', ndim)
 * 
 *         if direct_copy:             # <<<<<<<<<<<<<<
 * 
 *             refcount_copying(&dst, dtype_is_object, ndim, inc=False)
*/
    }
 
    /* "View.MemoryView":1325
 *         src = tmp
 * 
 *     if not broadcasting:             # <<<<<<<<<<<<<<
 * 
 * 
*/
  }
 
  /* "View.MemoryView":1341
 *             return 0
 * 
 *     if order == 'F' == get_best_order(&dst, ndim):             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __pyx_t_1 = (__pyx_v_order == 'F');
  if (__pyx_t_1) {
    __pyx_t_1 = ('F' == __pyx_get_best_slice_order((&__pyx_v_dst), __pyx_v_ndim));
  }
  if (__pyx_t_1) {
 
 
    /* "View.MemoryView":1344
 * 
 * 
 *         transpose_memslice(&src)             # <<<<<<<<<<<<<<
 *         transpose_memslice(&dst)
 * 
*/
    __pyx_t_4 = __pyx_memslice_transpose((&__pyx_v_src)); if (unlikely(__pyx_t_4 == ((int)-1))) __PYX_ERR(1, 1344, __pyx_L1_error)
 
 
    /* "View.MemoryView":1345
 * 
 *         transpose_memslice(&src)
 *         transpose_memslice(&dst)             # <<<<<<<<<<<<<<
 * 
 *     refcount_copying(&dst, dtype_is_object, ndim, inc=False)
*/
    __pyx_t_4 = __pyx_memslice_transpose((&__pyx_v_dst)); if (unlikely(__pyx_t_4 == ((int)-1))) __PYX_ERR(1, 1345, __pyx_L1_error)
 
 
    /* "View.MemoryView":1341
 *             return 0
 * 
 *     if order == 'F' == get_best_order(&dst, ndim):             # <<<<<<<<<<<<<<
 * 
 * 
*/
  }
 
  /* "View.MemoryView":1347
 *         transpose_memslice(&dst)
 * 
 *     refcount_copying(&dst, dtype_is_object, ndim, inc=False)             # <<<<<<<<<<<<<<
 *     copy_strided_to_strided(&src, &dst, ndim, itemsize)
 *     refcount_copying(&dst, dtype_is_object, ndim, inc=True)
*/
  __pyx_memoryview_refcount_copying((&__pyx_v_dst), __pyx_v_dtype_is_object, __pyx_v_ndim, 0);
 
  /* "View.MemoryView":1348
 * 
 *     refcount_copying(&dst, dtype_is_object, ndim, inc=False)
 *     copy_strided_to_strided(&src, &dst, ndim, itemsize)             # <<<<<<<<<<<<<<
 *     refcount_copying(&dst, dtype_is_object, ndim, inc=True)
 * 
*/
  copy_strided_to_strided((&__pyx_v_src), (&__pyx_v_dst), __pyx_v_ndim, __pyx_v_itemsize);
 
  /* "View.MemoryView":1349
 *     refcount_copying(&dst, dtype_is_object, ndim, inc=False)
 *     copy_strided_to_strided(&src, &dst, ndim, itemsize)
 *     refcount_copying(&dst, dtype_is_object, ndim, inc=True)             # <<<<<<<<<<<<<<
 * 
 *     free(tmpdata)
*/
  __pyx_memoryview_refcount_copying((&__pyx_v_dst), __pyx_v_dtype_is_object, __pyx_v_ndim, 1);
 
  /* "View.MemoryView":1351
 *     refcount_copying(&dst, dtype_is_object, ndim, inc=True)
 * 
 *     free(tmpdata)             # <<<<<<<<<<<<<<
 *     return 0
 * 
*/
  free(__pyx_v_tmpdata);
 
  /* "View.MemoryView":1352
 * 
 *     free(tmpdata)
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * @cname('__pyx_memoryview_broadcast_leading')
*/
  {
 
    __pyx_r = 0;
  }
  goto __pyx_L0;
 
  /* "View.MemoryView":1282
 * 
 * 
 * @cname('__pyx_memoryview_copy_contents')             # <<<<<<<<<<<<<<
 * cdef int memoryview_copy_contents(__Pyx_memviewslice src,
 *                                   __Pyx_memviewslice dst,
*/
 
  /* function exit code */
  __pyx_L1_error:;
  __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
  __Pyx_AddTraceback("View.MemoryView.memoryview_copy_contents", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = -1;
  __Pyx_PyGILState_Release(__pyx_gilstate_save);
  __pyx_L0:;
 
 
 
 
 
 
 
 
 
  return __pyx_r;
}
 
/* "View.MemoryView":1354
 *     return 0
 * 
 * @cname('__pyx_memoryview_broadcast_leading')             # <<<<<<<<<<<<<<
 * cdef void broadcast_leading(__Pyx_memviewslice *mslice,
 *                             int ndim,
*/
 
static void __pyx_memoryview_broadcast_leading(__Pyx_memviewslice *__pyx_v_mslice, int __pyx_v_ndim, int __pyx_v_ndim_other) {
  int __pyx_v_i;
  int __pyx_v_offset;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
 
  /* "View.MemoryView":1359
 *                             int ndim_other) noexcept nogil:
 *     cdef int i
 *     cdef int offset = ndim_other - ndim             # <<<<<<<<<<<<<<
 * 
 *     for i in range(ndim - 1, -1, -1):
*/
  __pyx_v_offset = (__pyx_v_ndim_other - __pyx_v_ndim);
 
  /* "View.MemoryView":1361
 *     cdef int offset = ndim_other - ndim
 * 
 *     for i in range(ndim - 1, -1, -1):             # <<<<<<<<<<<<<<
 *         mslice.shape[i + offset] = mslice.shape[i]
 *         mslice.strides[i + offset] = mslice.strides[i]
*/
  for (__pyx_t_1 = (__pyx_v_ndim - 1); __pyx_t_1 > -1; __pyx_t_1-=1) {
    __pyx_v_i = __pyx_t_1;
 
    /* "View.MemoryView":1362
 * 
 *     for i in range(ndim - 1, -1, -1):
 *         mslice.shape[i + offset] = mslice.shape[i]             # <<<<<<<<<<<<<<
 *         mslice.strides[i + offset] = mslice.strides[i]
 *         mslice.suboffsets[i + offset] = mslice.suboffsets[i]
*/
    (__pyx_v_mslice->shape[(__pyx_v_i + __pyx_v_offset)]) = (__pyx_v_mslice->shape[__pyx_v_i]);
 
    /* "View.MemoryView":1363
 *     for i in range(ndim - 1, -1, -1):
 *         mslice.shape[i + offset] = mslice.shape[i]
 *         mslice.strides[i + offset] = mslice.strides[i]             # <<<<<<<<<<<<<<
 *         mslice.suboffsets[i + offset] = mslice.suboffsets[i]
 * 
*/
    (__pyx_v_mslice->strides[(__pyx_v_i + __pyx_v_offset)]) = (__pyx_v_mslice->strides[__pyx_v_i]);
 
    /* "View.MemoryView":1364
 *         mslice.shape[i + offset] = mslice.shape[i]
 *         mslice.strides[i + offset] = mslice.strides[i]
 *         mslice.suboffsets[i + offset] = mslice.suboffsets[i]             # <<<<<<<<<<<<<<
 * 
 *     for i in range(offset):
*/
    (__pyx_v_mslice->suboffsets[(__pyx_v_i + __pyx_v_offset)]) = (__pyx_v_mslice->suboffsets[__pyx_v_i]);
  }
 
  /* "View.MemoryView":1366
 *         mslice.suboffsets[i + offset] = mslice.suboffsets[i]
 * 
 *     for i in range(offset):             # <<<<<<<<<<<<<<
 *         mslice.shape[i] = 1
 *         mslice.strides[i] = mslice.strides[0]
*/
 
  __pyx_t_1 = __pyx_v_offset;
  __pyx_t_2 = __pyx_t_1;
 
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;
 
    /* "View.MemoryView":1367
 * 
 *     for i in range(offset):
 *         mslice.shape[i] = 1             # <<<<<<<<<<<<<<
 *         mslice.strides[i] = mslice.strides[0]
 *         mslice.suboffsets[i] = -1
*/
    (__pyx_v_mslice->shape[__pyx_v_i]) = 1;
 
    /* "View.MemoryView":1368
 *     for i in range(offset):
 *         mslice.shape[i] = 1
 *         mslice.strides[i] = mslice.strides[0]             # <<<<<<<<<<<<<<
 *         mslice.suboffsets[i] = -1
 * 
*/
    (__pyx_v_mslice->strides[__pyx_v_i]) = (__pyx_v_mslice->strides[0]);
 
    /* "View.MemoryView":1369
 *         mslice.shape[i] = 1
 *         mslice.strides[i] = mslice.strides[0]
 *         mslice.suboffsets[i] = -1             # <<<<<<<<<<<<<<
 * 
 * 
*/
    (__pyx_v_mslice->suboffsets[__pyx_v_i]) = -1L;
  }
 
 
  /* "View.MemoryView":1354
 *     return 0
 * 
 * @cname('__pyx_memoryview_broadcast_leading')             # <<<<<<<<<<<<<<
 * cdef void broadcast_leading(__Pyx_memviewslice *mslice,
 *                             int ndim,
*/
 
  /* function exit code */
 
 
}
 
/* "View.MemoryView":1376
 * 
 * 
 * @cname('__pyx_memoryview_refcount_copying')             # <<<<<<<<<<<<<<
 * cdef void refcount_copying(__Pyx_memviewslice *dst, bint dtype_is_object, int ndim, bint inc) noexcept nogil:
 * 
*/
 
static void __pyx_memoryview_refcount_copying(__Pyx_memviewslice *__pyx_v_dst, int __pyx_v_dtype_is_object, int __pyx_v_ndim, int __pyx_v_inc) {
 
  /* "View.MemoryView":1379
 * cdef void refcount_copying(__Pyx_memviewslice *dst, bint dtype_is_object, int ndim, bint inc) noexcept nogil:
 * 
 *     if dtype_is_object:             # <<<<<<<<<<<<<<
 *         refcount_objects_in_slice_with_gil(dst.data, dst.shape, dst.strides, ndim, inc)
 * 
*/
  if (__pyx_v_dtype_is_object) {
 
    /* "View.MemoryView":1380
 * 
 *     if dtype_is_object:
 *         refcount_objects_in_slice_with_gil(dst.data, dst.shape, dst.strides, ndim, inc)             # <<<<<<<<<<<<<<
 * 
 * @cname('__pyx_memoryview_refcount_objects_in_slice_with_gil')
*/
    __pyx_memoryview_refcount_objects_in_slice_with_gil(__pyx_v_dst->data, __pyx_v_dst->shape, __pyx_v_dst->strides, __pyx_v_ndim, __pyx_v_inc);
 
    /* "View.MemoryView":1379
 * cdef void refcount_copying(__Pyx_memviewslice *dst, bint dtype_is_object, int ndim, bint inc) noexcept nogil:
 * 
 *     if dtype_is_object:             # <<<<<<<<<<<<<<
 *         refcount_objects_in_slice_with_gil(dst.data, dst.shape, dst.strides, ndim, inc)
 * 
*/
  }
 
  /* "View.MemoryView":1376
 * 
 * 
 * @cname('__pyx_memoryview_refcount_copying')             # <<<<<<<<<<<<<<
 * cdef void refcount_copying(__Pyx_memviewslice *dst, bint dtype_is_object, int ndim, bint inc) noexcept nogil:
 * 
*/
 
  /* function exit code */
}
 
/* "View.MemoryView":1382
 *         refcount_objects_in_slice_with_gil(dst.data, dst.shape, dst.strides, ndim, inc)
 * 
 * @cname('__pyx_memoryview_refcount_objects_in_slice_with_gil')             # <<<<<<<<<<<<<<
 * cdef void refcount_objects_in_slice_with_gil(char *data, Py_ssize_t *shape,
 *                                              Py_ssize_t *strides, int ndim,
*/
 
static void __pyx_memoryview_refcount_objects_in_slice_with_gil(char *__pyx_v_data, Py_ssize_t *__pyx_v_shape, Py_ssize_t *__pyx_v_strides, int __pyx_v_ndim, int __pyx_v_inc) {
  PyGILState_STATE __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
 
 
 
 
 
 
  /* "View.MemoryView":1386
 *                                              Py_ssize_t *strides, int ndim,
 *                                              bint inc) noexcept with gil:
 *     refcount_objects_in_slice(data, shape, strides, ndim, inc)             # <<<<<<<<<<<<<<
 * 
 * @cname('__pyx_memoryview_refcount_objects_in_slice')
*/
  __pyx_memoryview_refcount_objects_in_slice(__pyx_v_data, __pyx_v_shape, __pyx_v_strides, __pyx_v_ndim, __pyx_v_inc);
 
  /* "View.MemoryView":1382
 *         refcount_objects_in_slice_with_gil(dst.data, dst.shape, dst.strides, ndim, inc)
 * 
 * @cname('__pyx_memoryview_refcount_objects_in_slice_with_gil')             # <<<<<<<<<<<<<<
 * cdef void refcount_objects_in_slice_with_gil(char *data, Py_ssize_t *shape,
 *                                              Py_ssize_t *strides, int ndim,
*/
 
  /* function exit code */
 
 
 
 
 
 
  __Pyx_PyGILState_Release(__pyx_gilstate_save);
}
 
/* "View.MemoryView":1388
 *     refcount_objects_in_slice(data, shape, strides, ndim, inc)
 * 
 * @cname('__pyx_memoryview_refcount_objects_in_slice')             # <<<<<<<<<<<<<<
 * cdef void refcount_objects_in_slice(char *data, Py_ssize_t *shape,
 *                                     Py_ssize_t *strides, int ndim, bint inc) noexcept:
*/
 
static void __pyx_memoryview_refcount_objects_in_slice(char *__pyx_v_data, Py_ssize_t *__pyx_v_shape, Py_ssize_t *__pyx_v_strides, int __pyx_v_ndim, int __pyx_v_inc) {
  CYTHON_UNUSED Py_ssize_t __pyx_v_i;
  Py_ssize_t __pyx_v_stride;
  Py_ssize_t __pyx_t_1;
  Py_ssize_t __pyx_t_2;
  Py_ssize_t __pyx_t_3;
  int __pyx_t_4;
 
 
  /* "View.MemoryView":1392
 *                                     Py_ssize_t *strides, int ndim, bint inc) noexcept:
 *     cdef Py_ssize_t i
 *     cdef Py_ssize_t stride = strides[0]             # <<<<<<<<<<<<<<
 * 
 *     for i in range(shape[0]):
*/
  __pyx_v_stride = (__pyx_v_strides[0]);
 
  /* "View.MemoryView":1394
 *     cdef Py_ssize_t stride = strides[0]
 * 
 *     for i in range(shape[0]):             # <<<<<<<<<<<<<<
 *         if ndim == 1:
 *             if inc:
*/
 
  __pyx_t_1 = (__pyx_v_shape[0]);
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  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
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    /* "View.MemoryView":1395
 * 
 *     for i in range(shape[0]):
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 *                 Py_INCREF((<PyObject **> data)[0])
*/
    __pyx_t_4 = (__pyx_v_ndim == 1);
 
    if (__pyx_t_4) {
 
 
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 *     for i in range(shape[0]):
 *         if ndim == 1:
 *             if inc:             # <<<<<<<<<<<<<<
 *                 Py_INCREF((<PyObject **> data)[0])
 *             else:
*/
      if (__pyx_v_inc) {
 
        /* "View.MemoryView":1397
 *         if ndim == 1:
 *             if inc:
 *                 Py_INCREF((<PyObject **> data)[0])             # <<<<<<<<<<<<<<
 *             else:
 *                 Py_DECREF((<PyObject **> data)[0])
*/
        Py_INCREF((((PyObject **)__pyx_v_data)[0]));
 
        /* "View.MemoryView":1396
 *     for i in range(shape[0]):
 *         if ndim == 1:
 *             if inc:             # <<<<<<<<<<<<<<
 *                 Py_INCREF((<PyObject **> data)[0])
 *             else:
*/
        goto __pyx_L6;
      }
 
      /* "View.MemoryView":1399
 *                 Py_INCREF((<PyObject **> data)[0])
 *             else:
 *                 Py_DECREF((<PyObject **> data)[0])             # <<<<<<<<<<<<<<
 *         else:
 *             refcount_objects_in_slice(data, shape + 1, strides + 1, ndim - 1, inc)
*/
      /*else*/ {
        Py_DECREF((((PyObject **)__pyx_v_data)[0]));
      }
      __pyx_L6:;
 
      /* "View.MemoryView":1395
 * 
 *     for i in range(shape[0]):
 *         if ndim == 1:             # <<<<<<<<<<<<<<
 *             if inc:
 *                 Py_INCREF((<PyObject **> data)[0])
*/
      goto __pyx_L5;
    }
 
    /* "View.MemoryView":1401
 *                 Py_DECREF((<PyObject **> data)[0])
 *         else:
 *             refcount_objects_in_slice(data, shape + 1, strides + 1, ndim - 1, inc)             # <<<<<<<<<<<<<<
 * 
 *         data += stride
*/
    /*else*/ {
      __pyx_memoryview_refcount_objects_in_slice(__pyx_v_data, (__pyx_v_shape + 1), (__pyx_v_strides + 1), (__pyx_v_ndim - 1), __pyx_v_inc);
    }
    __pyx_L5:;
 
    /* "View.MemoryView":1403
 *             refcount_objects_in_slice(data, shape + 1, strides + 1, ndim - 1, inc)
 * 
 *         data += stride             # <<<<<<<<<<<<<<
 * 
 * 
*/
    __pyx_v_data = (__pyx_v_data + __pyx_v_stride);
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  /* "View.MemoryView":1388
 *     refcount_objects_in_slice(data, shape, strides, ndim, inc)
 * 
 * @cname('__pyx_memoryview_refcount_objects_in_slice')             # <<<<<<<<<<<<<<
 * cdef void refcount_objects_in_slice(char *data, Py_ssize_t *shape,
 *                                     Py_ssize_t *strides, int ndim, bint inc) noexcept:
*/
 
  /* function exit code */
 
 
 
 
}
 
/* "View.MemoryView":1408
 * 
 * 
 * @cname('__pyx_memoryview_slice_assign_scalar')             # <<<<<<<<<<<<<<
 * cdef void slice_assign_scalar(__Pyx_memviewslice *dst, int ndim,
 *                               size_t itemsize, void *item,
*/
 
static void __pyx_memoryview_slice_assign_scalar(__Pyx_memviewslice *__pyx_v_dst, int __pyx_v_ndim, size_t __pyx_v_itemsize, void *__pyx_v_item, int __pyx_v_dtype_is_object) {
 
  /* "View.MemoryView":1412
 *                               size_t itemsize, void *item,
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 *     refcount_copying(dst, dtype_is_object, ndim, inc=False)             # <<<<<<<<<<<<<<
 *     _slice_assign_scalar(dst.data, dst.shape, dst.strides, ndim, itemsize, item)
 *     refcount_copying(dst, dtype_is_object, ndim, inc=True)
*/
  __pyx_memoryview_refcount_copying(__pyx_v_dst, __pyx_v_dtype_is_object, __pyx_v_ndim, 0);
 
  /* "View.MemoryView":1413
 *                               bint dtype_is_object) noexcept nogil:
 *     refcount_copying(dst, dtype_is_object, ndim, inc=False)
 *     _slice_assign_scalar(dst.data, dst.shape, dst.strides, ndim, itemsize, item)             # <<<<<<<<<<<<<<
 *     refcount_copying(dst, dtype_is_object, ndim, inc=True)
 * 
*/
  __pyx_memoryview__slice_assign_scalar(__pyx_v_dst->data, __pyx_v_dst->shape, __pyx_v_dst->strides, __pyx_v_ndim, __pyx_v_itemsize, __pyx_v_item);
 
  /* "View.MemoryView":1414
 *     refcount_copying(dst, dtype_is_object, ndim, inc=False)
 *     _slice_assign_scalar(dst.data, dst.shape, dst.strides, ndim, itemsize, item)
 *     refcount_copying(dst, dtype_is_object, ndim, inc=True)             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __pyx_memoryview_refcount_copying(__pyx_v_dst, __pyx_v_dtype_is_object, __pyx_v_ndim, 1);
 
  /* "View.MemoryView":1408
 * 
 * 
 * @cname('__pyx_memoryview_slice_assign_scalar')             # <<<<<<<<<<<<<<
 * cdef void slice_assign_scalar(__Pyx_memviewslice *dst, int ndim,
 *                               size_t itemsize, void *item,
*/
 
  /* function exit code */
}
 
/* "View.MemoryView":1417
 * 
 * 
 * @cname('__pyx_memoryview__slice_assign_scalar')             # <<<<<<<<<<<<<<
 * cdef void _slice_assign_scalar(char *data, Py_ssize_t *shape,
 *                               Py_ssize_t *strides, int ndim,
*/
 
static void __pyx_memoryview__slice_assign_scalar(char *__pyx_v_data, Py_ssize_t *__pyx_v_shape, Py_ssize_t *__pyx_v_strides, int __pyx_v_ndim, size_t __pyx_v_itemsize, void *__pyx_v_item) {
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  Py_ssize_t __pyx_v_stride;
  Py_ssize_t __pyx_v_extent;
  int __pyx_t_1;
  Py_ssize_t __pyx_t_2;
  Py_ssize_t __pyx_t_3;
  Py_ssize_t __pyx_t_4;
 
 
  /* "View.MemoryView":1422
 *                               size_t itemsize, void *item) noexcept nogil:
 *     cdef Py_ssize_t i
 *     cdef Py_ssize_t stride = strides[0]             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t extent = shape[0]
 * 
*/
  __pyx_v_stride = (__pyx_v_strides[0]);
 
  /* "View.MemoryView":1423
 *     cdef Py_ssize_t i
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 *     cdef Py_ssize_t extent = shape[0]             # <<<<<<<<<<<<<<
 * 
 *     if ndim == 1:
*/
  __pyx_v_extent = (__pyx_v_shape[0]);
 
  /* "View.MemoryView":1425
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 * 
 *     if ndim == 1:             # <<<<<<<<<<<<<<
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*/
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  if (__pyx_t_1) {
 
 
    /* "View.MemoryView":1426
 * 
 *     if ndim == 1:
 *         for i in range(extent):             # <<<<<<<<<<<<<<
 *             memcpy(data, item, itemsize)
 *             data += stride
*/
 
    __pyx_t_2 = __pyx_v_extent;
    __pyx_t_3 = __pyx_t_2;
 
    for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_3; __pyx_t_4+=1) {
      __pyx_v_i = __pyx_t_4;
 
      /* "View.MemoryView":1427
 *     if ndim == 1:
 *         for i in range(extent):
 *             memcpy(data, item, itemsize)             # <<<<<<<<<<<<<<
 *             data += stride
 *     else:
*/
      (void)(memcpy(__pyx_v_data, __pyx_v_item, __pyx_v_itemsize));
 
      /* "View.MemoryView":1428
 *         for i in range(extent):
 *             memcpy(data, item, itemsize)
 *             data += stride             # <<<<<<<<<<<<<<
 *     else:
 *         for i in range(extent):
*/
      __pyx_v_data = (__pyx_v_data + __pyx_v_stride);
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    /* "View.MemoryView":1425
 *     cdef Py_ssize_t extent = shape[0]
 * 
 *     if ndim == 1:             # <<<<<<<<<<<<<<
 *         for i in range(extent):
 *             memcpy(data, item, itemsize)
*/
    goto __pyx_L3;
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  /* "View.MemoryView":1430
 *             data += stride
 *     else:
 *         for i in range(extent):             # <<<<<<<<<<<<<<
 *             _slice_assign_scalar(data, shape + 1, strides + 1, ndim - 1, itemsize, item)
 *             data += stride
*/
  /*else*/ {
 
    __pyx_t_2 = __pyx_v_extent;
    __pyx_t_3 = __pyx_t_2;
 
    for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_3; __pyx_t_4+=1) {
      __pyx_v_i = __pyx_t_4;
 
      /* "View.MemoryView":1431
 *     else:
 *         for i in range(extent):
 *             _slice_assign_scalar(data, shape + 1, strides + 1, ndim - 1, itemsize, item)             # <<<<<<<<<<<<<<
 *             data += stride
 * 
*/
      __pyx_memoryview__slice_assign_scalar(__pyx_v_data, (__pyx_v_shape + 1), (__pyx_v_strides + 1), (__pyx_v_ndim - 1), __pyx_v_itemsize, __pyx_v_item);
 
      /* "View.MemoryView":1432
 *         for i in range(extent):
 *             _slice_assign_scalar(data, shape + 1, strides + 1, ndim - 1, itemsize, item)
 *             data += stride             # <<<<<<<<<<<<<<
 * 
*/
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  /* "View.MemoryView":1417
 * 
 * 
 * @cname('__pyx_memoryview__slice_assign_scalar')             # <<<<<<<<<<<<<<
 * cdef void _slice_assign_scalar(char *data, Py_ssize_t *shape,
 *                               Py_ssize_t *strides, int ndim,
*/
 
  /* function exit code */
 
 
 
 
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static CYTHON_INLINE PyTypeObject *__pyx_f_5numpy_5dtype_7typeobj___get__(PyArray_Descr *__pyx_v_self) {
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    __pyx_r = PyDataType_TYPEOBJ(__pyx_v_self);
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 *     ctypedef class numpy.dtype [object PyArray_Descr, check_size ignore]:
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/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":234
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 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline char kind(self) noexcept nogil:
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static CYTHON_INLINE char __pyx_f_5numpy_5dtype_4kind___get__(PyArray_Descr *__pyx_v_self) {
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 *         @property
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 * 
 *         @property
*/
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    __pyx_r = PyDataType_KIND(__pyx_v_self);
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 *             return PyDataType_TYPEOBJ(self)
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 *         @property             # <<<<<<<<<<<<<<
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/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":238
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 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline char type(self) noexcept nogil:
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*/
 
static CYTHON_INLINE char __pyx_f_5numpy_5dtype_4type___get__(PyArray_Descr *__pyx_v_self) {
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 *         @property
 *         cdef inline char type(self) noexcept nogil:
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 * 
 *         # Numpy sometimes mutates this without warning (e.g. it'll
*/
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    __pyx_r = PyDataType_TYPE(__pyx_v_self);
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 *             return PyDataType_KIND(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline char type(self) noexcept nogil:
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*/
 
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/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":247
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 *         # directly accessing this field.
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline char byteorder(self) noexcept nogil:
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*/
 
static CYTHON_INLINE char __pyx_f_5numpy_5dtype_9byteorder___get__(PyArray_Descr *__pyx_v_self) {
  char __pyx_r;
 
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 *         @property
 *         cdef inline char byteorder(self) noexcept nogil:
 *             return PyDataType_BYTEORDER(self)             # <<<<<<<<<<<<<<
 * 
 *         @property
*/
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    __pyx_r = PyDataType_BYTEORDER(__pyx_v_self);
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  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":247
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 *         # directly accessing this field.
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline char byteorder(self) noexcept nogil:
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*/
 
  /* function exit code */
  __pyx_L0:;
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/* "../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:
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*/
 
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);
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  /* "../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:
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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":255
 *             return PyDataType_TYPENUM(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline npy_intp itemsize(self) noexcept nogil:
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static CYTHON_INLINE npy_intp __pyx_f_5numpy_5dtype_8itemsize___get__(PyArray_Descr *__pyx_v_self) {
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  /* "../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
*/
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    __pyx_r = PyDataType_ELSIZE(__pyx_v_self);
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  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":255
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 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline npy_intp itemsize(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":259
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 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline npy_intp alignment(self) noexcept nogil:
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*/
 
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);
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  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:
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*/
 
  /* function exit code */
  __pyx_L0:;
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/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":265
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 *         # for this using PyDataType_HASFIELDS.
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline object fields(self):
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*/
 
static CYTHON_INLINE PyObject *__pyx_f_5numpy_5dtype_6fields___get__(PyArray_Descr *__pyx_v_self) {
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 *         @property
 *         cdef inline object fields(self):
 *             return <object>PyDataType_FIELDS(self)             # <<<<<<<<<<<<<<
 * 
 *         @property
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  /* "../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):
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/* "../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):
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static CYTHON_INLINE PyObject *__pyx_f_5numpy_5dtype_5names___get__(PyArray_Descr *__pyx_v_self) {
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 *         @property
 *         cdef inline tuple names(self):
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 *         # Use PyDataType_HASSUBARRAY to test whether this field is
*/
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  /* "../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):
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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:
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static CYTHON_INLINE PyArray_ArrayDescr *__pyx_f_5numpy_5dtype_8subarray___get__(PyArray_Descr *__pyx_v_self) {
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  /* "../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);
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  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":276
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 *         # this field via the inline helper method PyDataType_SHAPE.
 *         @property             # <<<<<<<<<<<<<<
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/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":280
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 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline npy_uint64 flags(self) noexcept nogil:
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static CYTHON_INLINE npy_uint64 __pyx_f_5numpy_5dtype_5flags___get__(PyArray_Descr *__pyx_v_self) {
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  /* "../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);
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  /* "../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:
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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":292
 *     ctypedef class numpy.broadcast [object PyArrayMultiIterObject, check_size ignore]:
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline int numiter(self) noexcept nogil:
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*/
 
static CYTHON_INLINE int __pyx_f_5numpy_9broadcast_7numiter___get__(PyArrayMultiIterObject *__pyx_v_self) {
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  /* "../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);
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  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:;
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}
 
/* "../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);
  }
  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);
  }
  goto __pyx_L0;
 
  /* "../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 */
  __pyx_L0:;
  return __pyx_r;
}
 
/* "../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:
 *             """The number of dimensions in the broadcasted result."""
*/
 
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:
 *             """The number of dimensions in the broadcasted result."""
 *             return PyArray_MultiIter_NDIM(self)             # <<<<<<<<<<<<<<
 * 
 *         @property
*/
  {
 
    __pyx_r = PyArray_MultiIter_NDIM(__pyx_v_self);
  }
  goto __pyx_L0;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":307
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*/
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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":971
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 * 
 *         @property
*/
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 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline const char* name(self) noexcept nogil:
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/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":975
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 * 
 *         @property             # <<<<<<<<<<<<<<
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static CYTHON_INLINE char const *__pyx_f_5numpy_5ufunc_3doc___get__(PyUFuncObject *__pyx_v_self) {
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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":975
 *             return _PyUFuncObject_GET_ITEM_DATA(self).name
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline const char* doc(self) noexcept nogil:
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/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":979
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 * 
 *         @property             # <<<<<<<<<<<<<<
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static CYTHON_INLINE void *__pyx_f_5numpy_5ufunc_3ptr___get__(PyUFuncObject *__pyx_v_self) {
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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":979
 *             return _PyUFuncObject_GET_ITEM_DATA(self).doc
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline void* ptr(self) noexcept nogil:
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*/
 
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/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":983
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 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline PyObject* obj(self) noexcept nogil:
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  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":985
 *         @property
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 * 
 *         @property
*/
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    __pyx_r = _PyUFuncObject_GET_ITEM_DATA(__pyx_v_self)->obj;
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  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":983
 *             return _PyUFuncObject_GET_ITEM_DATA(self).ptr
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline PyObject* obj(self) noexcept nogil:
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/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":987
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 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline PyObject* userloops(self) noexcept nogil:
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static CYTHON_INLINE PyObject *__pyx_f_5numpy_5ufunc_9userloops___get__(PyUFuncObject *__pyx_v_self) {
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 * 
 *     PyUFuncObject_fields *_PyUFuncObject_GET_ITEM_DATA(ufunc) nogil
*/
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    __pyx_r = _PyUFuncObject_GET_ITEM_DATA(__pyx_v_self)->userloops;
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  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":987
 *             return _PyUFuncObject_GET_ITEM_DATA(self).obj
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline PyObject* userloops(self) noexcept nogil:
 *             return _PyUFuncObject_GET_ITEM_DATA(self).userloops
*/
 
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/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":1065
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  {Py_tp_clear, (void *)__pyx_tp_clear_22equivalent_polynomials_Simplex},
  {Py_tp_methods, (void *)__pyx_methods_22equivalent_polynomials_Simplex},
  {Py_tp_getset, (void *)__pyx_getsets_22equivalent_polynomials_Simplex},
  {Py_tp_new, (void *)__pyx_tp_new_22equivalent_polynomials_Simplex},
  #if (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800) && (!CYTHON_COMPILING_IN_LIMITED_API || __PYX_LIMITED_VERSION_HEX >= 0x030E0000)
  #if CYTHON_VECTORCALL_TPNEW
  {Py_tp_vectorcall, (void *)__pyx_tp_vectorcall_22equivalent_polynomials_Simplex},
  #endif
  #endif
  {0, 0},
};
static PyType_Spec __pyx_type_22equivalent_polynomials_Simplex_spec = {
  "equivalent_polynomials.Simplex",
  sizeof(struct __pyx_obj_22equivalent_polynomials_Simplex),
  0,
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC,
  __pyx_type_22equivalent_polynomials_Simplex_slots,
};
#else
 
static PyTypeObject __pyx_type_22equivalent_polynomials_Simplex = {
  PyVarObject_HEAD_INIT(0, 0)
  "equivalent_polynomials.""Simplex", /*tp_name*/
  sizeof(struct __pyx_obj_22equivalent_polynomials_Simplex), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_22equivalent_polynomials_Simplex, /*tp_dealloc*/
  0, /*tp_vectorcall_offset*/
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  0, /*tp_as_async*/
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_22equivalent_polynomials_Simplex, /*tp_traverse*/
  __pyx_tp_clear_22equivalent_polynomials_Simplex, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_22equivalent_polynomials_Simplex, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_22equivalent_polynomials_Simplex, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  #if !CYTHON_USE_TYPE_SPECS
  0, /*tp_dictoffset*/
  #endif
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_22equivalent_polynomials_Simplex, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if CYTHON_USE_TP_FINALIZE
  0, /*tp_finalize*/
  #else
  NULL, /*tp_finalize*/
  #endif
  #if (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800) && (!CYTHON_COMPILING_IN_LIMITED_API || __PYX_LIMITED_VERSION_HEX >= 0x030E0000)
  #if CYTHON_VECTORCALL_TPNEW
  __pyx_tp_vectorcall_22equivalent_polynomials_Simplex, /*tp_vectorcall*/
  #else
  NULL, /*tp_vectorcall*/
  #endif
  #endif
  #if __PYX_NEED_TP_PRINT_SLOT == 1
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030C0000
  0, /*tp_watched*/
  #endif
  #if PY_VERSION_HEX >= 0x030d00A4
  0, /*tp_versions_used*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x030a0000
  0, /*tp_pypy_flags*/
  #endif
};
#endif
static struct __pyx_vtabstruct_array __pyx_vtable_array;
 
static PyObject *__pyx_tp_new__initialisation_array(PyObject *o, 
#if CYTHON_VECTORCALL_TPNEW
    PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames
#else
    PyObject *a, PyObject *k
#endif
) {
  struct __pyx_array_obj *p = ((struct __pyx_array_obj *)o);
  p->__pyx_vtab = __pyx_vtabptr_array;
  p->mode = ((PyObject*)Py_None); Py_INCREF(Py_None);
  p->_format = ((PyObject*)Py_None); Py_INCREF(Py_None);
  {
    int cinit_result = __pyx_array___cinit__(o, 
#if CYTHON_VECTORCALL_TPNEW
    args, nargs, kwnames
#else
    a, k
#endif
);
    if (unlikely(cinit_result)) goto bad;
  }
  return o;
  bad:
  Py_DECREF(o); o = 0;
  return NULL;
}
 
static PyObject *__pyx_tp_new_vectorcall_array(PyTypeObject *t, 
#if CYTHON_VECTORCALL_TPNEW
    PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames
#else
    PyObject *a, PyObject *k
#endif
) {
  PyObject *o;
  o = __Pyx_AllocateExtensionType(t, 0);
  if (unlikely(!o)) return 0;
  return __pyx_tp_new__initialisation_array(o, 
#if CYTHON_VECTORCALL_TPNEW
    args, nargs, kwnames
#else
    a, k
#endif
);
}
 
#if CYTHON_VECTORCALL_TPNEW
static PyObject *__pyx_tp_new_array(PyTypeObject *t, PyObject *a, PyObject *k) {
  return __Pyx_CallTpnewAsVectorcall(__pyx_tp_new_vectorcall_array, t, a, k);
}
#endif
 
#if CYTHON_VECTORCALL_TPNEW
static PyObject *__pyx_tp_vectorcall_array(PyObject *t, PyObject *const *args, size_t nargsf, PyObject *kwnames) {
  if (unlikely((PyTypeObject*)t != __pyx_mstate_global->__pyx_array_type || __Pyx_PyType_HasFeature((PyTypeObject*)t, Py_TPFLAGS_IS_ABSTRACT))) {
    return __Pyx_CallNewInitFromVectorcall((PyTypeObject*)t, args, nargsf, kwnames);
  }
  Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
  PyObject *o = __pyx_tp_new_vectorcall_array((PyTypeObject*)t, args, nargs, kwnames);
  return o;
}
#endif
 
static void __pyx_tp_dealloc_array(PyObject *o) {
  struct __pyx_array_obj *p = (struct __pyx_array_obj *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(__Pyx_PyObject_GetSlot(o, tp_finalize, destructor)) && (!PyType_IS_GC(Py_TYPE(o)) || !__Pyx_PyObject_GC_IsFinalized(o))) {
    if (__Pyx_PyObject_GetSlot(o, tp_dealloc, destructor) == __pyx_tp_dealloc_array) {
      if (PyObject_CallFinalizerFromDealloc(o)) return;
    }
  }
  #endif
  {
    PyObject *etype, *eval, *etb;
    __Pyx_PyErr_FetchException(&etype, &eval, &etb);
    __Pyx_DeallocKeepAliveBegin(o);
    __pyx_array___dealloc__(o);
    __Pyx_DeallocKeepAliveEnd(o);
    __Pyx_PyErr_RestoreException(etype, eval, etb);
  }
  Py_CLEAR(p->mode);
  Py_CLEAR(p->_format);
  PyTypeObject *tp = Py_TYPE(o);
  #if CYTHON_USE_TYPE_SLOTS
  (*tp->tp_free)(o);
  #else
  {
    freefunc tp_free = (freefunc)PyType_GetSlot(tp, Py_tp_free);
    if (tp_free) tp_free(o);
  }
  #endif
  #if CYTHON_USE_TYPE_SPECS
  Py_DECREF(tp);
  #endif
}
 
static PyObject *__pyx_sq_item_array(PyObject *o, Py_ssize_t i) {
  PyObject *r;
  PyObject *x = PyLong_FromSsize_t(i); if (unlikely(!x)) return NULL;
  #if CYTHON_USE_TYPE_SLOTS || (!CYTHON_USE_TYPE_SPECS && __PYX_LIMITED_VERSION_HEX < 0x030A0000)
  binaryfunc f = Py_TYPE(o)->tp_as_mapping->mp_subscript;
  #else
  binaryfunc f = ((binaryfunc)PyType_GetSlot(Py_TYPE(o), Py_mp_subscript));
  #endif
  r = f(o, x);
  Py_DECREF(x);
  return r;
}
 
static PyObject *__pyx_mp_subscript_array(PyObject *o, PyObject *i) {
  return __pyx_array___getitem__(o, i);
}
 
static int __pyx_sq_ass_item_array(PyObject *o, Py_ssize_t i, PyObject *v) {
  if (likely(v)) {
    PyObject *x = PyLong_FromSsize_t(i); if (unlikely(!x)) return -1;
    int r = __pyx_array___setitem__(o, x, v);
    Py_DECREF(x);
    return r;
  } else {
    __Pyx_RaiseErrorWithObjectType1(PyExc_NotImplementedError, "Subscript %.10s not supported by " __Pyx_FMT_TYPENAME, "deletion", o);
    return -1;
  }
}
 
static int __pyx_mp_ass_subscript_array(PyObject *o, PyObject *i, PyObject *v) {
  if (likely(v)) {
    return __pyx_array___setitem__(o, i, v);
  } else {
    __Pyx_RaiseErrorWithObjectType1(PyExc_NotImplementedError, "Subscript %.10s not supported by " __Pyx_FMT_TYPENAME, "deletion", o);
    return -1;
  }
}
 
static PyObject *__pyx_tp_getattro_array(PyObject *o, PyObject *n) {
  PyObject *v = PyObject_GenericGetAttr(o, n);
  if (!v && PyErr_ExceptionMatches(PyExc_AttributeError)) {
    PyErr_Clear();
    v = __pyx_array___getattr__(o, n);
  }
  return v;
}
 
static PyObject *__pyx_getprop___pyx_array_memview(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_5array_7memview_1__get__(o);
}
 
static PyMethodDef __pyx_methods_array[] = {
  {"__getattr__", (PyCFunction)__pyx_array___getattr__, METH_O|METH_COEXIST, 0},
  {"__reduce_cython__", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw___pyx_array_1__reduce_cython__, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {"__setstate_cython__", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw___pyx_array_3__setstate_cython__, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {0, 0, 0, 0}
};
 
static struct PyGetSetDef __pyx_getsets_array[] = {
  {"memview", __pyx_getprop___pyx_array_memview, 0, 0, 0},
  {0, 0, 0, 0, 0}
};
#if CYTHON_USE_TYPE_SPECS
#if !CYTHON_COMPILING_IN_LIMITED_API
 
static PyBufferProcs __pyx_tp_as_buffer_array = {
  __pyx_array_getbuffer, /*bf_getbuffer*/
  0, /*bf_releasebuffer*/
};
#endif
static PyType_Slot __pyx_type___pyx_array_slots[] = {
  {Py_tp_dealloc, (void *)__pyx_tp_dealloc_array},
  {Py_sq_length, (void *)__pyx_array___len__},
  {Py_sq_item, (void *)__pyx_sq_item_array},
  {Py_sq_ass_item, (void *)__pyx_sq_ass_item_array},
  {Py_mp_length, (void *)__pyx_array___len__},
  {Py_mp_subscript, (void *)__pyx_mp_subscript_array},
  {Py_mp_ass_subscript, (void *)__pyx_mp_ass_subscript_array},
  {Py_tp_getattro, (void *)__pyx_tp_getattro_array},
  #if defined(Py_bf_getbuffer)
  {Py_bf_getbuffer, (void *)__pyx_array_getbuffer},
  #endif
  {Py_tp_methods, (void *)__pyx_methods_array},
  {Py_tp_getset, (void *)__pyx_getsets_array},
  {Py_tp_new, (void *)__pyx_tp_new_array},
  #if (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800) && (!CYTHON_COMPILING_IN_LIMITED_API || __PYX_LIMITED_VERSION_HEX >= 0x030E0000)
  #if CYTHON_VECTORCALL_TPNEW
  {Py_tp_vectorcall, (void *)__pyx_tp_vectorcall_array},
  #endif
  #endif
  {0, 0},
};
static PyType_Spec __pyx_type___pyx_array_spec = {
  "equivalent_polynomials.array",
  sizeof(struct __pyx_array_obj),
  0,
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_SEQUENCE,
  __pyx_type___pyx_array_slots,
};
#else
 
static PySequenceMethods __pyx_tp_as_sequence_array = {
  __pyx_array___len__, /*sq_length*/
  0, /*sq_concat*/
  0, /*sq_repeat*/
  __pyx_sq_item_array, /*sq_item*/
  0, /*sq_slice*/
  __pyx_sq_ass_item_array, /*sq_ass_item*/
  0, /*sq_ass_slice*/
  0, /*sq_contains*/
  0, /*sq_inplace_concat*/
  0, /*sq_inplace_repeat*/
};
 
static PyMappingMethods __pyx_tp_as_mapping_array = {
  __pyx_array___len__, /*mp_length*/
  __pyx_mp_subscript_array, /*mp_subscript*/
  __pyx_mp_ass_subscript_array, /*mp_ass_subscript*/
};
 
static PyBufferProcs __pyx_tp_as_buffer_array = {
  __pyx_array_getbuffer, /*bf_getbuffer*/
  0, /*bf_releasebuffer*/
};
 
static PyTypeObject __pyx_type___pyx_array = {
  PyVarObject_HEAD_INIT(0, 0)
  "equivalent_polynomials.""array", /*tp_name*/
  sizeof(struct __pyx_array_obj), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_array, /*tp_dealloc*/
  0, /*tp_vectorcall_offset*/
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  0, /*tp_as_async*/
  0, /*tp_repr*/
  0, /*tp_as_number*/
  &__pyx_tp_as_sequence_array, /*tp_as_sequence*/
  &__pyx_tp_as_mapping_array, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  __pyx_tp_getattro_array, /*tp_getattro*/
  0, /*tp_setattro*/
  &__pyx_tp_as_buffer_array, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_SEQUENCE, /*tp_flags*/
  0, /*tp_doc*/
  0, /*tp_traverse*/
  0, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_array, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_array, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  #if !CYTHON_USE_TYPE_SPECS
  0, /*tp_dictoffset*/
  #endif
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_array, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if CYTHON_USE_TP_FINALIZE
  0, /*tp_finalize*/
  #else
  NULL, /*tp_finalize*/
  #endif
  #if (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800) && (!CYTHON_COMPILING_IN_LIMITED_API || __PYX_LIMITED_VERSION_HEX >= 0x030E0000)
  #if CYTHON_VECTORCALL_TPNEW
  __pyx_tp_vectorcall_array, /*tp_vectorcall*/
  #else
  NULL, /*tp_vectorcall*/
  #endif
  #endif
  #if __PYX_NEED_TP_PRINT_SLOT == 1
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030C0000
  0, /*tp_watched*/
  #endif
  #if PY_VERSION_HEX >= 0x030d00A4
  0, /*tp_versions_used*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x030a0000
  0, /*tp_pypy_flags*/
  #endif
};
#endif
 
static PyObject *__pyx_tp_new__initialisation_Enum(PyObject *o, 
#if CYTHON_VECTORCALL_TPNEW
    CYTHON_UNUSED PyObject *const *args, CYTHON_UNUSED Py_ssize_t nargs, CYTHON_UNUSED PyObject *kwnames
#else
    CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k
#endif
) {
  struct __pyx_MemviewEnum_obj *p = ((struct __pyx_MemviewEnum_obj *)o);
  p->name = Py_None; Py_INCREF(Py_None);
  return o;
}
 
static PyObject *__pyx_tp_new_vectorcall_Enum(PyTypeObject *t, 
#if CYTHON_VECTORCALL_TPNEW
    PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames
#else
    PyObject *a, PyObject *k
#endif
) {
  PyObject *o;
  o = __Pyx_AllocateExtensionType(t, 0);
  if (unlikely(!o)) return 0;
  return __pyx_tp_new__initialisation_Enum(o, 
#if CYTHON_VECTORCALL_TPNEW
    args, nargs, kwnames
#else
    a, k
#endif
);
}
 
#if CYTHON_VECTORCALL_TPNEW
static PyObject *__pyx_tp_new_Enum(PyTypeObject *t, PyObject *a, PyObject *k) {
  return __Pyx_CallTpnewAsVectorcall(__pyx_tp_new_vectorcall_Enum, t, a, k);
}
#endif
 
#if CYTHON_VECTORCALL_TPNEW
static PyObject *__pyx_tp_vectorcall_Enum(PyObject *t, PyObject *const *args, size_t nargsf, PyObject *kwnames) {
  if (unlikely((PyTypeObject*)t != __pyx_mstate_global->__pyx_MemviewEnum_type || __Pyx_PyType_HasFeature((PyTypeObject*)t, Py_TPFLAGS_IS_ABSTRACT))) {
    return __Pyx_CallNewInitFromVectorcall((PyTypeObject*)t, args, nargsf, kwnames);
  }
  Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
  PyObject *o = __pyx_tp_new_vectorcall_Enum((PyTypeObject*)t, args, nargs, kwnames);
  if (likely(o)) {
    assert(Py_TYPE(o) == (PyTypeObject*)t);
    if (unlikely(__pyx_MemviewEnum___init__(o, args, nargs, kwnames) < 0)) {
      Py_CLEAR(o);
    }
  }
  return o;
}
#endif
 
#if CYTHON_VECTORCALL_TPNEW
static int __pyx_tp_init_Enum(PyObject *o, PyObject *args, PyObject *kwds) {
  return __Pyx_CallTpinitAsVectorcall(__pyx_MemviewEnum___init__, o, args, kwds);
}
#endif
 
static void __pyx_tp_dealloc_Enum(PyObject *o) {
  struct __pyx_MemviewEnum_obj *p = (struct __pyx_MemviewEnum_obj *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(__Pyx_PyObject_GetSlot(o, tp_finalize, destructor)) && !__Pyx_PyObject_GC_IsFinalized(o)) {
    if (__Pyx_PyObject_GetSlot(o, tp_dealloc, destructor) == __pyx_tp_dealloc_Enum) {
      if (PyObject_CallFinalizerFromDealloc(o)) return;
    }
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->name);
  PyTypeObject *tp = Py_TYPE(o);
  #if CYTHON_USE_TYPE_SLOTS
  (*tp->tp_free)(o);
  #else
  {
    freefunc tp_free = (freefunc)PyType_GetSlot(tp, Py_tp_free);
    if (tp_free) tp_free(o);
  }
  #endif
  #if CYTHON_USE_TYPE_SPECS
  Py_DECREF(tp);
  #endif
}
 
static int __pyx_tp_traverse_Enum(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_MemviewEnum_obj *p = (struct __pyx_MemviewEnum_obj *)o;
  {
    e = __Pyx_call_type_traverse(o, 1, v, a);
    if (e) return e;
  }
  if (p->name) {
    e = (*v)(p->name, a); if (e) return e;
  }
  return 0;
}
 
static int __pyx_tp_clear_Enum(PyObject *o) {
  PyObject* tmp;
  struct __pyx_MemviewEnum_obj *p = (struct __pyx_MemviewEnum_obj *)o;
  tmp = ((PyObject*)p->name);
  p->name = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}
 
static PyMethodDef __pyx_methods_Enum[] = {
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  {"__setstate_cython__", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw___pyx_MemviewEnum_3__setstate_cython__, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {0, 0, 0, 0}
};
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_type___pyx_MemviewEnum_slots[] = {
  {Py_tp_dealloc, (void *)__pyx_tp_dealloc_Enum},
  {Py_tp_repr, (void *)__pyx_MemviewEnum___repr__},
  {Py_tp_traverse, (void *)__pyx_tp_traverse_Enum},
  {Py_tp_clear, (void *)__pyx_tp_clear_Enum},
  {Py_tp_methods, (void *)__pyx_methods_Enum},
  {Py_tp_init, (void *)__pyx_tp_init_Enum},
  {Py_tp_new, (void *)__pyx_tp_new_Enum},
  #if (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800) && (!CYTHON_COMPILING_IN_LIMITED_API || __PYX_LIMITED_VERSION_HEX >= 0x030E0000)
  #if CYTHON_VECTORCALL_TPNEW
  {Py_tp_vectorcall, (void *)__pyx_tp_vectorcall_Enum},
  #endif
  #endif
  {0, 0},
};
static PyType_Spec __pyx_type___pyx_MemviewEnum_spec = {
  "equivalent_polynomials.Enum",
  sizeof(struct __pyx_MemviewEnum_obj),
  0,
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC,
  __pyx_type___pyx_MemviewEnum_slots,
};
#else
 
static PyTypeObject __pyx_type___pyx_MemviewEnum = {
  PyVarObject_HEAD_INIT(0, 0)
  "equivalent_polynomials.""Enum", /*tp_name*/
  sizeof(struct __pyx_MemviewEnum_obj), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_Enum, /*tp_dealloc*/
  0, /*tp_vectorcall_offset*/
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  0, /*tp_as_async*/
  __pyx_MemviewEnum___repr__, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_Enum, /*tp_traverse*/
  __pyx_tp_clear_Enum, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_Enum, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  #if !CYTHON_USE_TYPE_SPECS
  0, /*tp_dictoffset*/
  #endif
  __pyx_tp_init_Enum, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_Enum, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if CYTHON_USE_TP_FINALIZE
  0, /*tp_finalize*/
  #else
  NULL, /*tp_finalize*/
  #endif
  #if (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800) && (!CYTHON_COMPILING_IN_LIMITED_API || __PYX_LIMITED_VERSION_HEX >= 0x030E0000)
  #if CYTHON_VECTORCALL_TPNEW
  __pyx_tp_vectorcall_Enum, /*tp_vectorcall*/
  #else
  NULL, /*tp_vectorcall*/
  #endif
  #endif
  #if __PYX_NEED_TP_PRINT_SLOT == 1
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030C0000
  0, /*tp_watched*/
  #endif
  #if PY_VERSION_HEX >= 0x030d00A4
  0, /*tp_versions_used*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x030a0000
  0, /*tp_pypy_flags*/
  #endif
};
#endif
static struct __pyx_vtabstruct_memoryview __pyx_vtable_memoryview;
 
static PyObject *__pyx_tp_new__initialisation_memoryview(PyObject *o, 
#if CYTHON_VECTORCALL_TPNEW
    PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames
#else
    PyObject *a, PyObject *k
#endif
) {
  struct __pyx_memoryview_obj *p = ((struct __pyx_memoryview_obj *)o);
  p->__pyx_vtab = __pyx_vtabptr_memoryview;
  p->obj = Py_None; Py_INCREF(Py_None);
  p->_size = Py_None; Py_INCREF(Py_None);
  p->view.obj = NULL;
  {
    int cinit_result = __pyx_memoryview___cinit__(o, 
#if CYTHON_VECTORCALL_TPNEW
    args, nargs, kwnames
#else
    a, k
#endif
);
    if (unlikely(cinit_result)) goto bad;
  }
  return o;
  bad:
  Py_DECREF(o); o = 0;
  return NULL;
}
 
static PyObject *__pyx_tp_new_vectorcall_memoryview(PyTypeObject *t, 
#if CYTHON_VECTORCALL_TPNEW
    PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames
#else
    PyObject *a, PyObject *k
#endif
) {
  PyObject *o;
  o = __Pyx_AllocateExtensionType(t, 0);
  if (unlikely(!o)) return 0;
  return __pyx_tp_new__initialisation_memoryview(o, 
#if CYTHON_VECTORCALL_TPNEW
    args, nargs, kwnames
#else
    a, k
#endif
);
}
 
#if CYTHON_VECTORCALL_TPNEW
static PyObject *__pyx_tp_new_memoryview(PyTypeObject *t, PyObject *a, PyObject *k) {
  return __Pyx_CallTpnewAsVectorcall(__pyx_tp_new_vectorcall_memoryview, t, a, k);
}
#endif
 
#if CYTHON_VECTORCALL_TPNEW
static PyObject *__pyx_tp_vectorcall_memoryview(PyObject *t, PyObject *const *args, size_t nargsf, PyObject *kwnames) {
  if (unlikely((PyTypeObject*)t != __pyx_mstate_global->__pyx_memoryview_type || __Pyx_PyType_HasFeature((PyTypeObject*)t, Py_TPFLAGS_IS_ABSTRACT))) {
    return __Pyx_CallNewInitFromVectorcall((PyTypeObject*)t, args, nargsf, kwnames);
  }
  Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
  PyObject *o = __pyx_tp_new_vectorcall_memoryview((PyTypeObject*)t, args, nargs, kwnames);
  return o;
}
#endif
 
static void __pyx_tp_dealloc_memoryview(PyObject *o) {
  struct __pyx_memoryview_obj *p = (struct __pyx_memoryview_obj *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(__Pyx_PyObject_GetSlot(o, tp_finalize, destructor)) && !__Pyx_PyObject_GC_IsFinalized(o)) {
    if (__Pyx_PyObject_GetSlot(o, tp_dealloc, destructor) == __pyx_tp_dealloc_memoryview) {
      if (PyObject_CallFinalizerFromDealloc(o)) return;
    }
  }
  #endif
  PyObject_GC_UnTrack(o);
  {
    PyObject *etype, *eval, *etb;
    __Pyx_PyErr_FetchException(&etype, &eval, &etb);
    __Pyx_DeallocKeepAliveBegin(o);
    __pyx_memoryview___dealloc__(o);
    __Pyx_DeallocKeepAliveEnd(o);
    __Pyx_PyErr_RestoreException(etype, eval, etb);
  }
  Py_CLEAR(p->obj);
  Py_CLEAR(p->_size);
  PyTypeObject *tp = Py_TYPE(o);
  #if CYTHON_USE_TYPE_SLOTS
  (*tp->tp_free)(o);
  #else
  {
    freefunc tp_free = (freefunc)PyType_GetSlot(tp, Py_tp_free);
    if (tp_free) tp_free(o);
  }
  #endif
  #if CYTHON_USE_TYPE_SPECS
  Py_DECREF(tp);
  #endif
}
 
static int __pyx_tp_traverse_memoryview(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_memoryview_obj *p = (struct __pyx_memoryview_obj *)o;
  {
    e = __Pyx_call_type_traverse(o, 1, v, a);
    if (e) return e;
  }
  if (p->obj) {
    e = (*v)(p->obj, a); if (e) return e;
  }
  if (p->_size) {
    e = (*v)(p->_size, a); if (e) return e;
  }
  if (p->view.obj) {
    e = (*v)(p->view.obj, a); if (e) return e;
  }
  return 0;
}
 
static int __pyx_tp_clear_memoryview(PyObject *o) {
  PyObject* tmp;
  struct __pyx_memoryview_obj *p = (struct __pyx_memoryview_obj *)o;
  tmp = ((PyObject*)p->obj);
  p->obj = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->_size);
  p->_size = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  Py_CLEAR(p->view.obj);
  return 0;
}
 
static PyObject *__pyx_sq_item_memoryview(PyObject *o, Py_ssize_t i) {
  PyObject *r;
  PyObject *x = PyLong_FromSsize_t(i); if (unlikely(!x)) return NULL;
  #if CYTHON_USE_TYPE_SLOTS || (!CYTHON_USE_TYPE_SPECS && __PYX_LIMITED_VERSION_HEX < 0x030A0000)
  binaryfunc f = Py_TYPE(o)->tp_as_mapping->mp_subscript;
  #else
  binaryfunc f = ((binaryfunc)PyType_GetSlot(Py_TYPE(o), Py_mp_subscript));
  #endif
  r = f(o, x);
  Py_DECREF(x);
  return r;
}
 
static PyObject *__pyx_mp_subscript_memoryview(PyObject *o, PyObject *i) {
  return __pyx_memoryview___getitem__(o, i);
}
 
static int __pyx_sq_ass_item_memoryview(PyObject *o, Py_ssize_t i, PyObject *v) {
  if (likely(v)) {
    PyObject *x = PyLong_FromSsize_t(i); if (unlikely(!x)) return -1;
    int r = __pyx_memoryview___setitem__(o, x, v);
    Py_DECREF(x);
    return r;
  } else {
    __Pyx_RaiseErrorWithObjectType1(PyExc_NotImplementedError, "Subscript %.10s not supported by " __Pyx_FMT_TYPENAME, "deletion", o);
    return -1;
  }
}
 
static int __pyx_mp_ass_subscript_memoryview(PyObject *o, PyObject *i, PyObject *v) {
  if (likely(v)) {
    return __pyx_memoryview___setitem__(o, i, v);
  } else {
    __Pyx_RaiseErrorWithObjectType1(PyExc_NotImplementedError, "Subscript %.10s not supported by " __Pyx_FMT_TYPENAME, "deletion", o);
    return -1;
  }
}
 
static PyObject *__pyx_getprop___pyx_memoryview_T(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_1T_1__get__(o);
}
 
static PyObject *__pyx_getprop___pyx_memoryview_base(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_4base_1__get__(o);
}
 
static PyObject *__pyx_getprop___pyx_memoryview_shape(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_5shape_1__get__(o);
}
 
static PyObject *__pyx_getprop___pyx_memoryview_strides(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_7strides_1__get__(o);
}
 
static PyObject *__pyx_getprop___pyx_memoryview_suboffsets(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_10suboffsets_1__get__(o);
}
 
static PyObject *__pyx_getprop___pyx_memoryview_ndim(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_4ndim_1__get__(o);
}
 
static PyObject *__pyx_getprop___pyx_memoryview_itemsize(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_8itemsize_1__get__(o);
}
 
static PyObject *__pyx_getprop___pyx_memoryview_nbytes(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_6nbytes_1__get__(o);
}
 
static PyObject *__pyx_getprop___pyx_memoryview_size(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_4size_1__get__(o);
}
 
static PyMethodDef __pyx_methods_memoryview[] = {
  {"is_c_contig", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_memoryview_is_c_contig, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {"is_f_contig", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_memoryview_is_f_contig, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {"copy", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_memoryview_copy, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {"copy_fortran", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_memoryview_copy_fortran, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {"__reduce_cython__", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw___pyx_memoryview_1__reduce_cython__, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {"__setstate_cython__", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw___pyx_memoryview_3__setstate_cython__, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {0, 0, 0, 0}
};
 
static struct PyGetSetDef __pyx_getsets_memoryview[] = {
  {"T", __pyx_getprop___pyx_memoryview_T, 0, 0, 0},
  {"base", __pyx_getprop___pyx_memoryview_base, 0, 0, 0},
  {"shape", __pyx_getprop___pyx_memoryview_shape, 0, 0, 0},
  {"strides", __pyx_getprop___pyx_memoryview_strides, 0, 0, 0},
  {"suboffsets", __pyx_getprop___pyx_memoryview_suboffsets, 0, 0, 0},
  {"ndim", __pyx_getprop___pyx_memoryview_ndim, 0, 0, 0},
  {"itemsize", __pyx_getprop___pyx_memoryview_itemsize, 0, 0, 0},
  {"nbytes", __pyx_getprop___pyx_memoryview_nbytes, 0, 0, 0},
  {"size", __pyx_getprop___pyx_memoryview_size, 0, 0, 0},
  {0, 0, 0, 0, 0}
};
#if CYTHON_USE_TYPE_SPECS
#if !CYTHON_COMPILING_IN_LIMITED_API
 
static PyBufferProcs __pyx_tp_as_buffer_memoryview = {
  __pyx_memoryview_getbuffer, /*bf_getbuffer*/
  0, /*bf_releasebuffer*/
};
#endif
static PyType_Slot __pyx_type___pyx_memoryview_slots[] = {
  {Py_tp_dealloc, (void *)__pyx_tp_dealloc_memoryview},
  {Py_tp_repr, (void *)__pyx_memoryview___repr__},
  {Py_sq_length, (void *)__pyx_memoryview___len__},
  {Py_sq_item, (void *)__pyx_sq_item_memoryview},
  {Py_sq_ass_item, (void *)__pyx_sq_ass_item_memoryview},
  {Py_mp_length, (void *)__pyx_memoryview___len__},
  {Py_mp_subscript, (void *)__pyx_mp_subscript_memoryview},
  {Py_mp_ass_subscript, (void *)__pyx_mp_ass_subscript_memoryview},
  {Py_tp_str, (void *)__pyx_memoryview___str__},
  #if defined(Py_bf_getbuffer)
  {Py_bf_getbuffer, (void *)__pyx_memoryview_getbuffer},
  #endif
  {Py_tp_traverse, (void *)__pyx_tp_traverse_memoryview},
  {Py_tp_clear, (void *)__pyx_tp_clear_memoryview},
  {Py_tp_methods, (void *)__pyx_methods_memoryview},
  {Py_tp_getset, (void *)__pyx_getsets_memoryview},
  {Py_tp_new, (void *)__pyx_tp_new_memoryview},
  #if (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800) && (!CYTHON_COMPILING_IN_LIMITED_API || __PYX_LIMITED_VERSION_HEX >= 0x030E0000)
  #if CYTHON_VECTORCALL_TPNEW
  {Py_tp_vectorcall, (void *)__pyx_tp_vectorcall_memoryview},
  #endif
  #endif
  {0, 0},
};
static PyType_Spec __pyx_type___pyx_memoryview_spec = {
  "equivalent_polynomials.memoryview",
  sizeof(struct __pyx_memoryview_obj),
  0,
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC,
  __pyx_type___pyx_memoryview_slots,
};
#else
 
static PySequenceMethods __pyx_tp_as_sequence_memoryview = {
  __pyx_memoryview___len__, /*sq_length*/
  0, /*sq_concat*/
  0, /*sq_repeat*/
  __pyx_sq_item_memoryview, /*sq_item*/
  0, /*sq_slice*/
  __pyx_sq_ass_item_memoryview, /*sq_ass_item*/
  0, /*sq_ass_slice*/
  0, /*sq_contains*/
  0, /*sq_inplace_concat*/
  0, /*sq_inplace_repeat*/
};
 
static PyMappingMethods __pyx_tp_as_mapping_memoryview = {
  __pyx_memoryview___len__, /*mp_length*/
  __pyx_mp_subscript_memoryview, /*mp_subscript*/
  __pyx_mp_ass_subscript_memoryview, /*mp_ass_subscript*/
};
 
static PyBufferProcs __pyx_tp_as_buffer_memoryview = {
  __pyx_memoryview_getbuffer, /*bf_getbuffer*/
  0, /*bf_releasebuffer*/
};
 
static PyTypeObject __pyx_type___pyx_memoryview = {
  PyVarObject_HEAD_INIT(0, 0)
  "equivalent_polynomials.""memoryview", /*tp_name*/
  sizeof(struct __pyx_memoryview_obj), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_memoryview, /*tp_dealloc*/
  0, /*tp_vectorcall_offset*/
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  0, /*tp_as_async*/
  __pyx_memoryview___repr__, /*tp_repr*/
  0, /*tp_as_number*/
  &__pyx_tp_as_sequence_memoryview, /*tp_as_sequence*/
  &__pyx_tp_as_mapping_memoryview, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  __pyx_memoryview___str__, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  &__pyx_tp_as_buffer_memoryview, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_memoryview, /*tp_traverse*/
  __pyx_tp_clear_memoryview, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_memoryview, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_memoryview, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  #if !CYTHON_USE_TYPE_SPECS
  0, /*tp_dictoffset*/
  #endif
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_memoryview, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if CYTHON_USE_TP_FINALIZE
  0, /*tp_finalize*/
  #else
  NULL, /*tp_finalize*/
  #endif
  #if (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800) && (!CYTHON_COMPILING_IN_LIMITED_API || __PYX_LIMITED_VERSION_HEX >= 0x030E0000)
  #if CYTHON_VECTORCALL_TPNEW
  __pyx_tp_vectorcall_memoryview, /*tp_vectorcall*/
  #else
  NULL, /*tp_vectorcall*/
  #endif
  #endif
  #if __PYX_NEED_TP_PRINT_SLOT == 1
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030C0000
  0, /*tp_watched*/
  #endif
  #if PY_VERSION_HEX >= 0x030d00A4
  0, /*tp_versions_used*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x030a0000
  0, /*tp_pypy_flags*/
  #endif
};
#endif
static struct __pyx_vtabstruct__memoryviewslice __pyx_vtable__memoryviewslice;
 
static PyObject *__pyx_tp_new__initialisation__memoryviewslice(PyObject *o, 
#if CYTHON_VECTORCALL_TPNEW
    CYTHON_UNUSED PyObject *const *args, CYTHON_UNUSED Py_ssize_t nargs, CYTHON_UNUSED PyObject *kwnames
#else
    CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k
#endif
) {
  struct __pyx_memoryviewslice_obj *p = ((struct __pyx_memoryviewslice_obj *)o);
  p->__pyx_base.__pyx_vtab = (struct __pyx_vtabstruct_memoryview*)__pyx_vtabptr__memoryviewslice;
  __Pyx_default_placement_construct(&(p->from_slice));
  p->from_object = Py_None; Py_INCREF(Py_None);
  p->from_slice.memview = NULL;
  return o;
}
 
static PyObject *__pyx_tp_new_vectorcall__memoryviewslice(PyTypeObject *t, 
#if CYTHON_VECTORCALL_TPNEW
    PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames
#else
    PyObject *a, PyObject *k
#endif
) {
  PyObject *o;
  o = __pyx_tp_new_vectorcall_memoryview(t, 
#if CYTHON_VECTORCALL_TPNEW
    args, nargs, kwnames
#else
    a, k
#endif
);
  if (unlikely(!o)) return 0;
  return __pyx_tp_new__initialisation__memoryviewslice(o, 
#if CYTHON_VECTORCALL_TPNEW
    args, nargs, kwnames
#else
    a, k
#endif
);
}
 
#if CYTHON_VECTORCALL_TPNEW
static PyObject *__pyx_tp_new__memoryviewslice(PyTypeObject *t, PyObject *a, PyObject *k) {
  return __Pyx_CallTpnewAsVectorcall(__pyx_tp_new_vectorcall__memoryviewslice, t, a, k);
}
#endif
 
#if CYTHON_VECTORCALL_TPNEW
static PyObject *__pyx_tp_vectorcall__memoryviewslice(PyObject *t, PyObject *const *args, size_t nargsf, PyObject *kwnames) {
  if (unlikely((PyTypeObject*)t != __pyx_mstate_global->__pyx_memoryviewslice_type || __Pyx_PyType_HasFeature((PyTypeObject*)t, Py_TPFLAGS_IS_ABSTRACT))) {
    return __Pyx_CallNewInitFromVectorcall((PyTypeObject*)t, args, nargsf, kwnames);
  }
  Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
  PyObject *o = __pyx_tp_new_vectorcall__memoryviewslice((PyTypeObject*)t, args, nargs, kwnames);
  return o;
}
#endif
 
static void __pyx_tp_dealloc__memoryviewslice(PyObject *o) {
  struct __pyx_memoryviewslice_obj *p = (struct __pyx_memoryviewslice_obj *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(__Pyx_PyObject_GetSlot(o, tp_finalize, destructor)) && !__Pyx_PyObject_GC_IsFinalized(o)) {
    if (__Pyx_PyObject_GetSlot(o, tp_dealloc, destructor) == __pyx_tp_dealloc__memoryviewslice) {
      if (PyObject_CallFinalizerFromDealloc(o)) return;
    }
  }
  #endif
  PyObject_GC_UnTrack(o);
  {
    PyObject *etype, *eval, *etb;
    __Pyx_PyErr_FetchException(&etype, &eval, &etb);
    __Pyx_DeallocKeepAliveBegin(o);
    __pyx_memoryviewslice___dealloc__(o);
    __Pyx_DeallocKeepAliveEnd(o);
    __Pyx_PyErr_RestoreException(etype, eval, etb);
  }
  __Pyx_call_destructor(p->from_slice);
  Py_CLEAR(p->from_object);
  PyObject_GC_Track(o);
  __pyx_tp_dealloc_memoryview(o);
}
 
static int __pyx_tp_traverse__memoryviewslice(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_memoryviewslice_obj *p = (struct __pyx_memoryviewslice_obj *)o;
  e = __pyx_tp_traverse_memoryview(o, v, a); if (e) return e;
  if (p->from_object) {
    e = (*v)(p->from_object, a); if (e) return e;
  }
  return 0;
}
 
static int __pyx_tp_clear__memoryviewslice(PyObject *o) {
  PyObject* tmp;
  struct __pyx_memoryviewslice_obj *p = (struct __pyx_memoryviewslice_obj *)o;
  __pyx_tp_clear_memoryview(o);
  tmp = ((PyObject*)p->from_object);
  p->from_object = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  __PYX_XCLEAR_MEMVIEW(&p->from_slice, 1);
  return 0;
}
 
static PyMethodDef __pyx_methods__memoryviewslice[] = {
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/* #### Code section: init_codeobjects ### */
#ifdef __cplusplus
namespace {
#endif
typedef struct {
    unsigned int argcount : 3;
    unsigned int num_posonly_args : 1;
    unsigned int num_kwonly_args : 1;
    unsigned int nlocals : 3;
    unsigned int flags : 10;
    unsigned int first_line : 8;
} __Pyx_PyCode_New_function_description;
#ifdef __cplusplus
} /* anonymous namespace */
#endif
/* NewCodeObj.proto */
static PyObject* __Pyx_PyCode_New(
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        PyObject *filename,
        PyObject *funcname,
        PyObject *line_table,
        PyObject *tuple_dedup_map
);
 
 
static int __Pyx_CreateCodeObjects(__pyx_mstatetype *__pyx_mstate) {
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  }
  {
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  {
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  {
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  }
  {
    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 4, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 166};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_phi0, __pyx_mstate->__pyx_n_u_phi1, __pyx_mstate->__pyx_n_u_nP, __pyx_mstate->__pyx_n_u_C_H};
    __pyx_mstate_global->__pyx_codeobj_tab[4] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_equivalent_polynomials_p, __pyx_mstate->__pyx_n_u_calc_edge_H, __pyx_mstate->__pyx_kp_b_iso88591_F_2Qa_s_X_fAV6_Q_Cv_fAV6_Q_Cv_f, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[4])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 3, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 178};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_C, __pyx_mstate->__pyx_n_u_t, __pyx_mstate->__pyx_n_u_nP};
    __pyx_mstate_global->__pyx_codeobj_tab[5] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_equivalent_polynomials_p, __pyx_mstate->__pyx_n_u_eval_edge_poly, __pyx_mstate->__pyx_kp_b_iso88591_s_U_vQiq_q_Cs_vQiq_q_Cs_vQiq_q, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[5])) goto bad;
  }
  Py_DECREF(tuple_dedup_map);
  return 0;
  bad:
  Py_DECREF(tuple_dedup_map);
  return -1;
}
/* #### Code section: init_globals ### */
 
static int __Pyx_InitGlobals(void) {
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  /* PythonCompatibility.init */
  if (likely(__Pyx_init_co_variables() == 0 && __Pyx_init_tpflags_variables() == 0)); else
  
  if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1, __pyx_L1_error)
 
  /* PyFrozenDict.init */
  #if CYTHON_COMPILING_IN_LIMITED_API
  {
      PyObject *builtins = PyEval_GetBuiltins(); // borrowed
      if (likely(builtins)) {
          PyObject *type_name = PyUnicode_FromStringAndSize("frozendict", sizeof("frozendict")-1);
          if (likely(type_name)) {
              PyObject *frozendict_type = PyObject_GetItem(builtins, type_name);
              Py_DECREF(type_name);
              if (!frozendict_type && PyErr_ExceptionMatches(PyExc_KeyError)) {
                  PyErr_Clear();
                  frozendict_type = (PyObject*) &PyDict_Type;
                  Py_INCREF(frozendict_type);
              }
              __pyx_mstate_global->__Pyx_PyFrozenDictType = frozendict_type;
          }
      }
  } // error handling follows
  #endif
  
  if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1, __pyx_L1_error)
 
  /* AssertionsEnabled.init */
  if (likely(__Pyx_init_assertions_enabled() == 0)); else
  
  if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1, __pyx_L1_error)
 
  /* NumpyImportArray.init */
  /*
   * Cython has automatically inserted a call to _import_array since
   * you didn't include one when you cimported numpy. To disable this
   * add the line
   *   <void>numpy._import_array
   */
  #ifdef NPY_FEATURE_VERSION
  #ifndef NO_IMPORT_ARRAY
  if (unlikely(_import_array() == -1)) {
      PyErr_SetString(PyExc_ImportError, "numpy.core.multiarray failed to import "
      "(auto-generated because you didn't call 'numpy.import_array()' after cimporting numpy; "
      "use '<void>numpy._import_array' to disable if you are certain you don't need it).");
  }
  #endif
  #endif
  
  if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1, __pyx_L1_error)
 
  /* CommonTypesMetaclass.init */
  if (likely(__pyx_CommonTypesMetaclass_init(__pyx_m) == 0)); else
  
  if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1, __pyx_L1_error)
 
  /* CachedMethodType.init */
  #if CYTHON_COMPILING_IN_LIMITED_API
  {
      PyObject *typesModule=NULL;
      typesModule = PyImport_ImportModule("types");
      if (typesModule) {
          __pyx_mstate_global->__Pyx_CachedMethodType = PyObject_GetAttrString(typesModule, "MethodType");
          Py_DECREF(typesModule);
      }
  } // error handling follows
  #endif
  
  if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1, __pyx_L1_error)
 
  return 0;
  __pyx_L1_error:;
  return -1;
}
/* #### Code section: init_after_shared_utility ### */
 
static int __Pyx_InitAfterSharedUtility(void) {
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  /* CythonFunctionPerModule.init */
  if (likely(__pyx_CyFunction_init(__pyx_m) == 0)); else
  
  if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1, __pyx_L1_error)
 
  return 0;
  __pyx_L1_error:;
  return -1;
}
/* #### Code section: cleanup_globals ### */
/* #### Code section: cleanup_module ### */
/* #### Code section: main_method ### */
/* #### Code section: utility_code_pragmas ### */
#ifdef _MSC_VER
#pragma warning( push )
/* Warning 4127: conditional expression is constant
 * Cython uses constant conditional expressions to allow in inline functions to be optimized at
 * compile-time, so this warning is not useful
 */
#pragma warning( disable : 4127 )
#endif
 
 
 
/* #### Code section: utility_code_def ### */
 
/* --- Runtime support code --- */
/* Refnanny */
#if CYTHON_REFNANNY
static __Pyx_RefNannyAPIStruct *__Pyx_RefNannyImportAPI(const char *modname) {
    PyObject *m = NULL, *p = NULL;
    void *r = NULL;
    m = PyImport_ImportModule(modname);
    if (!m) goto end;
    p = PyObject_GetAttrString(m, "RefNannyAPI");
    if (!p) goto end;
    r = PyLong_AsVoidPtr(p);
end:
    Py_XDECREF(p);
    Py_XDECREF(m);
    return (__Pyx_RefNannyAPIStruct *)r;
}
#endif
 
/* 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
 
/* 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 (used by PyObjectCallOneArg) */
#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
}
 
/* 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;
}
 
/* FastTypeChecks (used by UnpackUnboundCMethod_impl) */
#if CYTHON_COMPILING_IN_CPYTHON
static int __Pyx_InBases(PyTypeObject *a, PyTypeObject *b) {
    while (a) {
        a = __Pyx_PyType_GetSlot(a, tp_base, PyTypeObject*);
        if (a == b)
            return 1;
    }
    return b == &PyBaseObject_Type;
}
static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b) {
    PyObject *mro;
    if (a == b) return 1;
    mro = a->tp_mro;
    if (likely(mro)) {
        Py_ssize_t i, n;
        n = PyTuple_GET_SIZE(mro);
        for (i = 0; i < n; i++) {
            if (PyTuple_GET_ITEM(mro, i) == (PyObject *)b)
                return 1;
        }
        return 0;
    }
    return __Pyx_InBases(a, b);
}
static CYTHON_INLINE int __Pyx_IsAnySubtype2(PyTypeObject *cls, PyTypeObject *a, PyTypeObject *b) {
    PyObject *mro;
    if (cls == a || cls == b) return 1;
    mro = cls->tp_mro;
    if (likely(mro)) {
        Py_ssize_t i, n;
        n = PyTuple_GET_SIZE(mro);
        for (i = 0; i < n; i++) {
            PyObject *base = PyTuple_GET_ITEM(mro, i);
            if (base == (PyObject *)a || base == (PyObject *)b)
                return 1;
        }
        return 0;
    }
    return __Pyx_InBases(cls, a) || __Pyx_InBases(cls, b);
}
#endif
 
/* 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;
}
 
/* PyErrFetchRestore (used by GivenExceptionMatches) */
#if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
#if PY_VERSION_HEX >= 0x030C00A6
    PyObject *tmp_value;
    assert(type == NULL || (value != NULL && type == (PyObject*) Py_TYPE(value)));
    if (value) {
        #if CYTHON_COMPILING_IN_CPYTHON
        if (unlikely(((PyBaseExceptionObject*) value)->traceback != tb))
        #endif
            PyException_SetTraceback(value, tb);
    }
    tmp_value = tstate->current_exception;
    tstate->current_exception = value;
    Py_XDECREF(tmp_value);
    Py_XDECREF(type);
    Py_XDECREF(tb);
#else
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    tmp_type = tstate->curexc_type;
    tmp_value = tstate->curexc_value;
    tmp_tb = tstate->curexc_traceback;
    tstate->curexc_type = type;
    tstate->curexc_value = value;
    tstate->curexc_traceback = tb;
    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 (used by PyObjectGetAttrStrNoError) */
#if CYTHON_FAST_THREAD_STATE
static int __Pyx_PyErr_ExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
    Py_ssize_t i, n;
    n = PyTuple_GET_SIZE(tuple);
    for (i=0; i<n; i++) {
        if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
    }
    for (i=0; i<n; i++) {
        if (__Pyx_PyErr_GivenExceptionMatches(exc_type, PyTuple_GET_ITEM(tuple, i))) return 1;
    }
    return 0;
}
static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err) {
    int result;
    PyObject *exc_type;
#if PY_VERSION_HEX >= 0x030C00A6
    PyObject *current_exception = tstate->current_exception;
    if (unlikely(!current_exception)) return 0;
    exc_type = (PyObject*) Py_TYPE(current_exception);
    if (exc_type == err) return 1;
#else
    exc_type = tstate->curexc_type;
    if (exc_type == err) return 1;
    if (unlikely(!exc_type)) return 0;
#endif
    #if CYTHON_AVOID_BORROWED_REFS
    Py_INCREF(exc_type);
    #endif
    if (unlikely(PyTuple_Check(err))) {
        result = __Pyx_PyErr_ExceptionMatchesTuple(exc_type, err);
    } else {
        result = __Pyx_PyErr_GivenExceptionMatches(exc_type, err);
    }
    #if CYTHON_AVOID_BORROWED_REFS
    Py_DECREF(exc_type);
    #endif
    return result;
}
#endif
 
/* PyObjectGetAttrStrNoError (used by GetBuiltinName) */
#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
}
 
/* GetBuiltinName */
static PyObject *__Pyx_GetBuiltinName(PyObject *name) {
    PyObject* result = __Pyx_PyObject_GetAttrStrNoError(__pyx_mstate_global->__pyx_b, name);
    if (unlikely(!result) && !PyErr_Occurred()) {
        PyErr_Format(PyExc_NameError,
            "name '%U' is not defined", name);
    }
    return result;
}
 
/* PyObjectFastCallMethod */
#if !CYTHON_VECTORCALL
static PyObject *__Pyx_PyObject_FastCallMethod(PyObject *name, PyObject *const *args, size_t nargsf) {
    PyObject *result;
    switch (__Pyx_PyVectorcall_NARGS(nargsf)) {
        case 1:
            return PyObject_CallMethodObjArgs(args[0], name, NULL);
        case 2:
            return PyObject_CallMethodObjArgs(args[0], name, args[1], NULL);
        case 3:
            return PyObject_CallMethodObjArgs(args[0], name, args[1], args[2], NULL);
        case 4:
            return PyObject_CallMethodObjArgs(args[0], name, args[1], args[2], args[3], NULL);
        case 5:
            return PyObject_CallMethodObjArgs(args[0], name, args[1], args[2], args[3], args[4], NULL);
    }
    PyObject *attr = PyObject_GetAttr(args[0], name);
    if (unlikely(!attr))
        return NULL;
    result = __Pyx_PyObject_FastCall(attr, args+1, nargsf - 1);
    Py_DECREF(attr);
    return result;
}
#endif
 
/* FormatTypeName (used by RaiseErrorWithObjectType1) */
#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
 
/* RaiseErrorWithObjectType1 (used by RaiseUnexpectedTypeError) */
static void __Pyx_RaiseErrorWithType1(PyObject* exc_type, const char* message, const char *arg, PyTypeObject *type_obj) {
    __Pyx_TypeName type_name = __Pyx_PyType_GetFullyQualifiedName(type_obj);
    #if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030d0000
    if (unlikely(!type_name)) return;
    #endif
    PyErr_Format(exc_type, message, arg, type_name);
    __Pyx_DECREF_TypeName(type_name);
}
 
/* RaiseUnexpectedTypeError */
static int __Pyx_RaiseUnexpectedTypeError(const char *expected, PyObject *obj) {
    __Pyx_RaiseTypeErrorWithObjectType1(
        "Expected %.42s, got " __Pyx_FMT_TYPENAME,
        expected, obj);
    return 0;
}
 
/* 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;
}
 
/* CIntToDigits (used by CIntToPyUnicode) */
static const char DIGIT_PAIRS_10[2*10*10+1] = {
    "00010203040506070809"
    "10111213141516171819"
    "20212223242526272829"
    "30313233343536373839"
    "40414243444546474849"
    "50515253545556575859"
    "60616263646566676869"
    "70717273747576777879"
    "80818283848586878889"
    "90919293949596979899"
};
static const char DIGIT_PAIRS_8[2*8*8+1] = {
    "0001020304050607"
    "1011121314151617"
    "2021222324252627"
    "3031323334353637"
    "4041424344454647"
    "5051525354555657"
    "6061626364656667"
    "7071727374757677"
};
static const char DIGITS_HEX[2*16+1] = {
    "0123456789abcdef"
    "0123456789ABCDEF"
};
 
/* BuildPyUnicode (used by COrdinalToPyUnicode) */
static PyObject* __Pyx_PyUnicode_BuildFromAscii(Py_ssize_t ulength, const char* chars, int clength,
                                                int prepend_sign, char padding_char) {
    PyObject *uval;
    Py_ssize_t uoffset = ulength - clength;
#if CYTHON_USE_UNICODE_INTERNALS
    Py_ssize_t i;
    void *udata;
    uval = PyUnicode_New(ulength, 127);
    if (unlikely(!uval)) return NULL;
    udata = PyUnicode_DATA(uval);
    if (uoffset > 0) {
        i = 0;
        if (prepend_sign) {
            __Pyx_PyUnicode_WRITE(PyUnicode_1BYTE_KIND, udata, 0, '-');
            i++;
        }
        for (; i < uoffset; i++) {
            __Pyx_PyUnicode_WRITE(PyUnicode_1BYTE_KIND, udata, i, padding_char);
        }
    }
    for (i=0; i < clength; i++) {
        __Pyx_PyUnicode_WRITE(PyUnicode_1BYTE_KIND, udata, uoffset+i, chars[i]);
    }
#else
    {
        PyObject *sign = NULL, *padding = NULL;
        uval = NULL;
        if (uoffset > 0) {
            prepend_sign = !!prepend_sign;
            if (uoffset > prepend_sign) {
                padding = PyUnicode_FromOrdinal(padding_char);
                if (likely(padding) && uoffset > prepend_sign + 1) {
                    PyObject *tmp = PySequence_Repeat(padding, uoffset - prepend_sign);
                    Py_DECREF(padding);
                    padding = tmp;
                }
                if (unlikely(!padding)) goto done_or_error;
            }
            if (prepend_sign) {
                sign = PyUnicode_FromOrdinal('-');
                if (unlikely(!sign)) goto done_or_error;
            }
        }
        uval = PyUnicode_DecodeASCII(chars, clength, NULL);
        if (likely(uval) && padding) {
            PyObject *tmp = PyUnicode_Concat(padding, uval);
            Py_DECREF(uval);
            uval = tmp;
        }
        if (likely(uval) && sign) {
            PyObject *tmp = PyUnicode_Concat(sign, uval);
            Py_DECREF(uval);
            uval = tmp;
        }
done_or_error:
        Py_XDECREF(padding);
        Py_XDECREF(sign);
    }
#endif
    return uval;
}
 
/* COrdinalToPyUnicode (used by CIntToPyUnicode) */
static CYTHON_INLINE int __Pyx_CheckUnicodeValue(int value) {
    return value <= 1114111;
}
static PyObject* __Pyx_PyUnicode_FromOrdinal_Padded(int value, Py_ssize_t ulength, char padding_char) {
    Py_ssize_t padding_length = ulength - 1;
    if (likely((padding_length <= 250) && (value < 0xD800 || value > 0xDFFF))) {
        char chars[256];
        if (value <= 255) {
            memset(chars, padding_char, (size_t) padding_length);
            chars[ulength-1] = (char) value;
            return PyUnicode_DecodeLatin1(chars, ulength, NULL);
        }
        char *cpos = chars + sizeof(chars);
        if (value < 0x800) {
            *--cpos = (char) (0x80 | (value & 0x3f));
            value >>= 6;
            *--cpos = (char) (0xc0 | (value & 0x1f));
        } else if (value < 0x10000) {
            *--cpos = (char) (0x80 | (value & 0x3f));
            value >>= 6;
            *--cpos = (char) (0x80 | (value & 0x3f));
            value >>= 6;
            *--cpos = (char) (0xe0 | (value & 0x0f));
        } else {
            *--cpos = (char) (0x80 | (value & 0x3f));
            value >>= 6;
            *--cpos = (char) (0x80 | (value & 0x3f));
            value >>= 6;
            *--cpos = (char) (0x80 | (value & 0x3f));
            value >>= 6;
            *--cpos = (char) (0xf0 | (value & 0x07));
        }
        cpos -= padding_length;
        memset(cpos, padding_char, (size_t) padding_length);
        return PyUnicode_DecodeUTF8(cpos, chars + sizeof(chars) - cpos, NULL);
    }
    if (value <= 127 && CYTHON_USE_UNICODE_INTERNALS) {
        const char chars[1] = {(char) value};
        return __Pyx_PyUnicode_BuildFromAscii(ulength, chars, 1, 0, padding_char);
    }
    {
        PyObject *uchar, *padding_uchar, *padding, *result;
        padding_uchar = PyUnicode_FromOrdinal(padding_char);
        if (unlikely(!padding_uchar)) return NULL;
        padding = PySequence_Repeat(padding_uchar, padding_length);
        Py_DECREF(padding_uchar);
        if (unlikely(!padding)) return NULL;
        uchar = PyUnicode_FromOrdinal(value);
        if (unlikely(!uchar)) {
            Py_DECREF(padding);
            return NULL;
        }
        result = PyUnicode_Concat(padding, uchar);
        Py_DECREF(padding);
        Py_DECREF(uchar);
        return result;
    }
}
 
/* CIntToPyUnicode */
static CYTHON_INLINE PyObject* __Pyx_uchar___Pyx_PyUnicode_From_int(int value, Py_ssize_t width, char padding_char) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const int neg_one = (int) -1, const_zero = (int) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (unlikely(!(is_unsigned || value == 0 || value > 0) ||
                    !(sizeof(value) <= 2 || value & ~ (int) 0x01fffff || __Pyx_CheckUnicodeValue((int) value)))) {
        PyErr_SetString(PyExc_OverflowError, "%c arg not in range(0x110000)");
        return NULL;
    }
    if (width <= 1) {
        return PyUnicode_FromOrdinal((int) value);
    }
    return __Pyx_PyUnicode_FromOrdinal_Padded((int) value, width, padding_char);
}
static CYTHON_INLINE PyObject* __Pyx____Pyx_PyUnicode_From_int(int value, Py_ssize_t width, char padding_char, char format_char) {
    char digits[sizeof(int)*3+2];
    char *dpos, *end = digits + sizeof(int)*3+2;
    const char *hex_digits = DIGITS_HEX;
    Py_ssize_t length, ulength;
    int prepend_sign, last_one_off;
    int remaining;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const int neg_one = (int) -1, const_zero = (int) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (format_char == 'X') {
        hex_digits += 16;
        format_char = 'x';
    }
    remaining = value;
    last_one_off = 0;
    dpos = end;
    do {
        int digit_pos;
        switch (format_char) {
        case 'o':
            digit_pos = abs((int)(remaining % (8*8)));
            remaining = (int) (remaining / (8*8));
            dpos -= 2;
            memcpy(dpos, DIGIT_PAIRS_8 + digit_pos * 2, 2);
            last_one_off = (digit_pos < 8);
            break;
        case 'd':
            digit_pos = abs((int)(remaining % (10*10)));
            remaining = (int) (remaining / (10*10));
            dpos -= 2;
            memcpy(dpos, DIGIT_PAIRS_10 + digit_pos * 2, 2);
            last_one_off = (digit_pos < 10);
            break;
        case 'x':
            *(--dpos) = hex_digits[abs((int)(remaining % 16))];
            remaining = (int) (remaining / 16);
            break;
        default:
            assert(0);
            break;
        }
    } while (unlikely(remaining != 0));
    assert(!last_one_off || *dpos == '0');
    dpos += last_one_off;
    length = end - dpos;
    ulength = length;
    prepend_sign = 0;
    if (!is_unsigned && value <= neg_one) {
        if (padding_char == ' ' || width <= length + 1) {
            *(--dpos) = '-';
            ++length;
        } else {
            prepend_sign = 1;
        }
        ++ulength;
    }
    if (width > ulength) {
        ulength = width;
    }
    if (ulength == 1) {
        return PyUnicode_FromOrdinal(*dpos);
    }
    return __Pyx_PyUnicode_BuildFromAscii(ulength, dpos, (int) length, prepend_sign, padding_char);
}
 
/* CIntToPyUnicode */
static CYTHON_INLINE PyObject* __Pyx_uchar___Pyx_PyUnicode_From_Py_ssize_t(Py_ssize_t value, Py_ssize_t width, char padding_char) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const Py_ssize_t neg_one = (Py_ssize_t) -1, const_zero = (Py_ssize_t) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (unlikely(!(is_unsigned || value == 0 || value > 0) ||
                    !(sizeof(value) <= 2 || value & ~ (Py_ssize_t) 0x01fffff || __Pyx_CheckUnicodeValue((int) value)))) {
        PyErr_SetString(PyExc_OverflowError, "%c arg not in range(0x110000)");
        return NULL;
    }
    if (width <= 1) {
        return PyUnicode_FromOrdinal((int) value);
    }
    return __Pyx_PyUnicode_FromOrdinal_Padded((int) value, width, padding_char);
}
static CYTHON_INLINE PyObject* __Pyx____Pyx_PyUnicode_From_Py_ssize_t(Py_ssize_t value, Py_ssize_t width, char padding_char, char format_char) {
    char digits[sizeof(Py_ssize_t)*3+2];
    char *dpos, *end = digits + sizeof(Py_ssize_t)*3+2;
    const char *hex_digits = DIGITS_HEX;
    Py_ssize_t length, ulength;
    int prepend_sign, last_one_off;
    Py_ssize_t remaining;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const Py_ssize_t neg_one = (Py_ssize_t) -1, const_zero = (Py_ssize_t) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (format_char == 'X') {
        hex_digits += 16;
        format_char = 'x';
    }
    remaining = value;
    last_one_off = 0;
    dpos = end;
    do {
        int digit_pos;
        switch (format_char) {
        case 'o':
            digit_pos = abs((int)(remaining % (8*8)));
            remaining = (Py_ssize_t) (remaining / (8*8));
            dpos -= 2;
            memcpy(dpos, DIGIT_PAIRS_8 + digit_pos * 2, 2);
            last_one_off = (digit_pos < 8);
            break;
        case 'd':
            digit_pos = abs((int)(remaining % (10*10)));
            remaining = (Py_ssize_t) (remaining / (10*10));
            dpos -= 2;
            memcpy(dpos, DIGIT_PAIRS_10 + digit_pos * 2, 2);
            last_one_off = (digit_pos < 10);
            break;
        case 'x':
            *(--dpos) = hex_digits[abs((int)(remaining % 16))];
            remaining = (Py_ssize_t) (remaining / 16);
            break;
        default:
            assert(0);
            break;
        }
    } while (unlikely(remaining != 0));
    assert(!last_one_off || *dpos == '0');
    dpos += last_one_off;
    length = end - dpos;
    ulength = length;
    prepend_sign = 0;
    if (!is_unsigned && value <= neg_one) {
        if (padding_char == ' ' || width <= length + 1) {
            *(--dpos) = '-';
            ++length;
        } else {
            prepend_sign = 1;
        }
        ++ulength;
    }
    if (width > ulength) {
        ulength = width;
    }
    if (ulength == 1) {
        return PyUnicode_FromOrdinal(*dpos);
    }
    return __Pyx_PyUnicode_BuildFromAscii(ulength, dpos, (int) length, prepend_sign, padding_char);
}
 
/* JoinPyUnicode */
static PyObject* __Pyx_PyUnicode_Join(PyObject** values, Py_ssize_t value_count, Py_ssize_t result_ulength, int kind) {
#if __Pyx_PyUnicode_Join_CAN_USE_KIND_AND_LENGTH && CYTHON_USE_UNICODE_INTERNALS
    PyObject *result_uval;
    int result_ukind, kind_shift;
    Py_ssize_t i, char_pos;
    void *result_udata;
    static const Py_UCS4 max_char[5] = {0x7fU, 0xffU, 0xffffU, 0xffffU, 0x10ffffU};
    assert (kind >= 0);
    if (kind > PyUnicode_4BYTE_KIND) kind = PyUnicode_4BYTE_KIND;
    result_uval = PyUnicode_New(result_ulength, max_char[kind]);
    if (unlikely(!result_uval)) return NULL;
    kind_shift = kind >> 1;  // 0, 1, 2
    result_ukind = 1 << kind_shift;  // 1, 2, 4
    result_udata = PyUnicode_DATA(result_uval);
    assert(kind_shift == 2 || kind_shift == 1 || kind_shift == 0);
    if (unlikely((PY_SSIZE_T_MAX >> kind_shift) - result_ulength < 0))
        goto overflow;
    char_pos = 0;
    for (i=0; i < value_count; i++) {
        int ukind;
        Py_ssize_t ulength;
        void *udata;
        PyObject *uval = values[i];
        if (__Pyx_PyUnicode_READY(uval) == (-1))
            goto bad;
        ulength = __Pyx_PyUnicode_GET_LENGTH(uval);
        #if !CYTHON_ASSUME_SAFE_SIZE
        if (unlikely(ulength < 0)) goto bad;
        #endif
        if (unlikely(!ulength))
            continue;
        if (unlikely((PY_SSIZE_T_MAX >> kind_shift) - ulength < char_pos))
            goto overflow;
        ukind = __Pyx_PyUnicode_KIND(uval);
        udata = __Pyx_PyUnicode_DATA(uval);
        if (ukind == result_ukind) {
            memcpy((char *)result_udata + (char_pos << kind_shift), udata, (size_t) (ulength << kind_shift));
        } else {
            #if PY_VERSION_HEX >= 0x030d0000
            if (unlikely(PyUnicode_CopyCharacters(result_uval, char_pos, uval, 0, ulength) < 0)) goto bad;
            #elif CYTHON_COMPILING_IN_CPYTHON || defined(_PyUnicode_FastCopyCharacters)
            _PyUnicode_FastCopyCharacters(result_uval, char_pos, uval, 0, ulength);
            #else
            Py_ssize_t j;
            for (j=0; j < ulength; j++) {
                Py_UCS4 uchar = __Pyx_PyUnicode_READ(ukind, udata, j);
                __Pyx_PyUnicode_WRITE(result_ukind, result_udata, char_pos+j, uchar);
            }
            #endif
        }
        char_pos += ulength;
    }
    return result_uval;
overflow:
    PyErr_SetString(PyExc_OverflowError, "join() result is too long for a Python string");
bad:
    Py_DECREF(result_uval);
    return NULL;
#else
    Py_ssize_t i;
    PyObject *result = NULL;
    PyObject *value_tuple = PyTuple_New(value_count);
    if (unlikely(!value_tuple)) return NULL;
    CYTHON_UNUSED_VAR(kind);
    CYTHON_UNUSED_VAR(result_ulength);
    for (i=0; i<value_count; i++) {
        Py_INCREF(values[i]);
        if (__Pyx_PyTuple_SET_ITEM(value_tuple, i, values[i]) != (0)) goto bad;
    }
    result = PyUnicode_Join(__pyx_mstate_global->__pyx_empty_unicode, value_tuple);
bad:
    Py_DECREF(value_tuple);
    return result;
#endif
}
 
/* UnicodeEqualsUCS4 (used by UnicodeEquals_uchar) */
#if !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_GRAAL)
static CYTHON_INLINE int __Pyx__PyUnicode_EqualsUCS4(PyObject* s1, Py_UCS4 ch2, int equals) {
    Py_ssize_t length;
    Py_UCS4 ch1;
    int kind;
    if (unlikely(__Pyx_PyUnicode_READY(s1) < 0)) goto bad;
    length = __Pyx_PyUnicode_GET_LENGTH(s1);
    #if !CYTHON_ASSUME_SAFE_SIZE
    if (unlikely(length < 0)) goto bad;
    #endif
    if (length != 1) goto return_ne;
    kind = PyUnicode_KIND(s1);
    if (ch2 < 256) {
        if (likely(kind == PyUnicode_1BYTE_KIND)) {
            ch1 = PyUnicode_1BYTE_DATA(s1)[0];
        } else if (kind == PyUnicode_2BYTE_KIND) {
            ch1 = PyUnicode_2BYTE_DATA(s1)[0];
        } else {
            ch1 = PyUnicode_4BYTE_DATA(s1)[0];
        }
    } else if (ch2 < 65536) {
        if (kind == PyUnicode_2BYTE_KIND) {
            ch1 = PyUnicode_2BYTE_DATA(s1)[0];
        } else if (kind == PyUnicode_4BYTE_KIND) {
            ch1 = PyUnicode_4BYTE_DATA(s1)[0];
        } else {
            goto return_ne;
        }
    } else {
        if (kind == PyUnicode_4BYTE_KIND){
            ch1 = PyUnicode_4BYTE_DATA(s1)[0];
        } else {
            goto return_ne;
        }
    }
    if (ch1 == ch2) {
        goto return_eq;
    } else {
        goto return_ne;
    }
return_eq:
    return (equals == Py_EQ);
return_ne:
    return (equals == Py_NE);
bad:
    return -1;
}
#endif
 
/* PyObjectCompare */
#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_object_str(PyObject *op1, PyObject *op2, int pyop) {
    CYTHON_UNUSED_VAR(pyop);
    if (unlikely(op2 == Py_None)) {
        if (op1 == Py_None) goto __pyx_return_true; else goto __pyx_richcmp;
    }
    if (PyFloat_CheckExact(op1)) {
        goto __pyx_richcmp;
    }
    if (PyLong_CheckExact(op1)) {
        if (op1 == op2) goto __pyx_return_true;
        goto __pyx_richcmp;
    }
    
    if (likely(PyUnicode_CheckExact(op1))) {
        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;
}
 
/* PyObjectCompare */
#if !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL)
#ifndef __Pyx_DEFINED_PyObject_ComparePyBytesPyBytesEq
#define __Pyx_DEFINED_PyObject_ComparePyBytesPyBytesEq
static CYTHON_INLINE PyObject* __Pyx_PyObject_ComparePyBytesPyBytesEq(PyObject* s1, PyObject* s2) {
    #if CYTHON_ASSUME_SAFE_SIZE && CYTHON_ASSUME_SAFE_MACROS
    const char *ps1, *ps2;
    Py_ssize_t length = PyBytes_GET_SIZE(s1);
    if (length != PyBytes_GET_SIZE(s2)) goto __pyx_return_false;
    ps1 = PyBytes_AS_STRING(s1);
    ps2 = PyBytes_AS_STRING(s2);
    #else
    char *ps1, *ps2;
    Py_ssize_t length, length2;
    if (unlikely(PyBytes_AsStringAndSize(s1, &ps1, &length) == -1)) return NULL;
    if (unlikely(PyBytes_AsStringAndSize(s2, &ps2, &length2) == -1)) return NULL;
    if (length != length2) goto __pyx_return_false;
    #endif
    if (ps1[0] != ps2[0]) goto __pyx_return_false;
    if (length == 1) goto __pyx_return_true;
    {
        int cmp;
#if CYTHON_USE_UNICODE_INTERNALS && (PY_VERSION_HEX < 0x030B0000)
        Py_hash_t hash1 = ((PyBytesObject*)s1)->ob_shash;
        Py_hash_t hash2 = ((PyBytesObject*)s2)->ob_shash;
        if (hash1 != hash2 && hash1 != -1 && hash2 != -1) goto __pyx_return_false;
#endif
        cmp = memcmp(ps1, ps2, (size_t)length);
        if (cmp == 0) goto __pyx_return_true; else goto __pyx_return_false;
    }
__pyx_return_true:
    Py_RETURN_TRUE;
__pyx_return_false:
    Py_RETURN_FALSE;
}
#endif
#endif
#if !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL)
#ifndef __Pyx_DEFINED_PyObject_ComparePyByteArrayPyBytesEq
#define __Pyx_DEFINED_PyObject_ComparePyByteArrayPyBytesEq
static CYTHON_INLINE PyObject* __Pyx_PyObject_ComparePyByteArrayPyBytesEq(PyObject* s1, PyObject* s2) {
    #if CYTHON_ASSUME_SAFE_SIZE && CYTHON_ASSUME_SAFE_MACROS
    const char *ps1, *ps2;
    Py_ssize_t length = PyByteArray_GET_SIZE(s1);
    if (length != PyBytes_GET_SIZE(s2)) goto __pyx_return_false;
    ps1 = PyByteArray_AS_STRING(s1);
    ps2 = PyBytes_AS_STRING(s2);
    #else
    char *ps1, *ps2;
    Py_ssize_t length, length2;
    ps1 = __Pyx_PyByteArray_AsString(s1); if (unlikely(!ps1)) return NULL;
    length = __Pyx_PyByteArray_GET_SIZE(s1); if (unlikely(length == -1)) return NULL;
    if (unlikely(PyBytes_AsStringAndSize(s2, &ps2, &length2) == -1)) return NULL;
    if (length != length2) goto __pyx_return_false;
    #endif
    if (length == 0) goto __pyx_return_true;
    if (ps1[0] != ps2[0]) goto __pyx_return_false;
    if (length == 1) goto __pyx_return_true;
    {
        int cmp;
        cmp = memcmp(ps1, ps2, (size_t)length);
        if (cmp == 0) goto __pyx_return_true; else goto __pyx_return_false;
    }
__pyx_return_true:
    Py_RETURN_TRUE;
__pyx_return_false:
    Py_RETURN_FALSE;
}
#endif
#endif
static CYTHON_INLINE PyObject* __Pyx_PyObject_CompareEq_object_bytes(PyObject *op1, PyObject *op2, int pyop) {
    CYTHON_UNUSED_VAR(pyop);
    if (unlikely(op2 == Py_None)) {
        if (op1 == Py_None) goto __pyx_return_true; else goto __pyx_richcmp;
    }
    if (PyFloat_CheckExact(op1)) {
        goto __pyx_richcmp;
    }
    if (PyLong_CheckExact(op1)) {
        if (op1 == op2) goto __pyx_return_true;
        goto __pyx_richcmp;
    }
    #if !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL)
    if (likely(PyBytes_CheckExact(op1))) {
        if (op1 == op2) goto __pyx_return_true;
        if (likely(op2 != Py_None)) {
            return __Pyx_PyObject_ComparePyBytesPyBytesEq(op1, op2);
        }
        goto __pyx_richcmp;
    }
    #endif
    if ((0)) goto __pyx_richcmp;
    if ((0)) goto __pyx_return_true;
    if ((0)) goto __pyx_return_false;
__pyx_richcmp:
    return PyObject_RichCompare(op1, op2, Py_EQ);
__pyx_return_true:
    Py_RETURN_TRUE;
__pyx_return_false:
    Py_RETURN_FALSE;
}
 
/* GetAttr */
static CYTHON_INLINE PyObject *__Pyx_GetAttr(PyObject *o, PyObject *n) {
#if CYTHON_USE_TYPE_SLOTS
    if (likely(PyUnicode_Check(n)))
        return __Pyx_PyObject_GetAttrStr(o, n);
#endif
    return PyObject_GetAttr(o, n);
}
 
/* PyFrozenDict (used by GetItemInt) */
#if CYTHON_COMPILING_IN_LIMITED_API
static CYTHON_INLINE PyObject* __Pyx__PyFrozenDict_New(PyObject* frozendict_type, PyObject* it) {
    return PyObject_CallFunctionObjArgs(frozendict_type, it, NULL);
}
#endif
 
/* GettItemInt_wraparound (used by GetItemInt) */
#if CYTHON_USE_TYPE_SLOTS && !CYTHON_COMPILING_IN_PYPY
static int __Pyx_GetItemInt_wraparound(PyObject *o, PySequenceMethods *sm, Py_ssize_t *i) {
    assert(*i < 0);
    if (likely(sm->sq_length)) {
        Py_ssize_t l = sm->sq_length(o);
        if (likely(l >= 0)) {
            *i += l;
        } else {
            if (!PyErr_ExceptionMatches(PyExc_OverflowError))
                return -1;
            PyErr_Clear();
        }
    }
    return 0;
}
#endif
 
/* GetItemInt */
static PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j) {
    PyObject *r;
    if (unlikely(!j)) return NULL;
    r = PyObject_GetItem(o, j);
    Py_DECREF(j);
    return r;
}
static PyObject *__Pyx_GetItemInt_Generic_size(PyObject *o, Py_ssize_t i) {
    return __Pyx_GetItemInt_Generic(o, PyLong_FromSsize_t(i));
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i,
                                                              int wraparound, int boundscheck, int unsafe_shared) {
    CYTHON_MAYBE_UNUSED_VAR(unsafe_shared);
#if CYTHON_AVOID_BORROWED_REFS
    CYTHON_UNUSED_VAR(boundscheck);
    Py_ssize_t wrapped_i = i;
    if (wraparound & unlikely(i < 0)) {
        Py_ssize_t size = __Pyx_PyList_GET_SIZE(o);
        #if !CYTHON_ASSUME_SAFE_SIZE
        if (unlikely(size < 0)) return NULL;
        #endif
        wrapped_i += size;
    }
    return __Pyx_PyList_GetItemRef(o, wrapped_i);
#elif CYTHON_ASSUME_SAFE_SIZE && CYTHON_ASSUME_SAFE_MACROS
    Py_ssize_t wrapped_i = i;
    Py_ssize_t size = (wraparound | boundscheck) ? PyList_GET_SIZE(o) : -1;
    if (wraparound & unlikely(i < 0)) {
        wrapped_i += size;
    }
    if ((!boundscheck) || likely(__Pyx_is_valid_index(wrapped_i, size))) {
        return __Pyx_PyList_GET_ITEM_REF(o, wrapped_i, unsafe_shared);
    }
    return __Pyx_GetItemInt_Generic_size(o, i);
#else
    (void)wraparound;
    (void)boundscheck;
    return PySequence_GetItem(o, i);
#endif
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,
                                                              int wraparound, int boundscheck, int unsafe_shared) {
    CYTHON_MAYBE_UNUSED_VAR(unsafe_shared);
#if CYTHON_AVOID_BORROWED_REFS
    CYTHON_UNUSED_VAR(boundscheck);
    Py_ssize_t wrapped_i = i;
    if (wraparound & unlikely(i < 0)) {
        Py_ssize_t size = __Pyx_PyTuple_GET_SIZE(o);
        #if !CYTHON_ASSUME_SAFE_SIZE
        if (unlikely(size < 0)) return NULL;
        #endif
        wrapped_i += size;
    }
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_COMPILING_IN_LIMITED_API
    return PySequence_ITEM(o, wrapped_i);
    #else
    if (unlikely(wrapped_i < 0)) {
        PyErr_SetString(PyExc_IndexError, "tuple index out of range");
        return NULL;
    }
    return PySequence_GetItem(o, wrapped_i);
    #endif
#elif CYTHON_ASSUME_SAFE_SIZE && CYTHON_ASSUME_SAFE_MACROS
    Py_ssize_t wrapped_i = i;
    Py_ssize_t size = (wraparound | boundscheck) ? PyTuple_GET_SIZE(o) : -1;
    if (wraparound & unlikely(i < 0)) {
        wrapped_i += size;
    }
    if ((!boundscheck) || likely(__Pyx_is_valid_index(wrapped_i, size))) {
        return __Pyx_NewRef(__Pyx_PyTuple_GET_ITEM(o, wrapped_i));
    }
    return __Pyx_GetItemInt_Generic_size(o, i);
#else
    (void)wraparound;
    (void)boundscheck;
    return PySequence_GetItem(o, i);
#endif
}
#if CYTHON_USE_TYPE_SLOTS && !CYTHON_COMPILING_IN_PYPY
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast_mapping(PyObject *o, binaryfunc getitem, Py_ssize_t i) {
    PyObject *r, *key = PyLong_FromSsize_t(i);
    if (unlikely(!key)) return NULL;
    r = getitem(o, key);
    Py_DECREF(key);
    return r;
}
#endif
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i,
                                                     int wraparound, int boundscheck, int unsafe_shared) {
    CYTHON_MAYBE_UNUSED_VAR(unsafe_shared);
#if CYTHON_ASSUME_SAFE_SIZE
    if (PyList_CheckExact(o)) {
        return __Pyx_GetItemInt_List_Fast(o, i, wraparound, boundscheck, unsafe_shared);
    } else
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    if (PyTuple_CheckExact(o)) {
        return __Pyx_GetItemInt_Tuple_Fast(o, i, wraparound, boundscheck, unsafe_shared);
    } else
    #endif
#else
    if ((!wraparound || i >= 0) & PyList_CheckExact(o)) {
        return boundscheck ? __Pyx_PyList_GetItemRef(o, i) : __Pyx_PyList_GET_ITEM_REF(o, i, unsafe_shared);
    } else
#endif
#if CYTHON_USE_TYPE_SLOTS && !CYTHON_COMPILING_IN_PYPY
    if (PyDict_CheckExact(o)) {
        return __Pyx_GetItemInt_Fast_mapping(o, PyDict_Type.tp_as_mapping->mp_subscript, i);
    #if defined(PyFrozenDict_CheckExact)
    } else if (PyFrozenDict_CheckExact(o)) {
        return __Pyx_GetItemInt_Fast_mapping(o, PyFrozenDict_Type.tp_as_mapping->mp_subscript, i);
    #endif
    } else
    {
        PyTypeObject *obj_type = Py_TYPE(o);
        int seq_or_mapping = __Pyx_PyType_GetFlags(obj_type) & (Py_TPFLAGS_SEQUENCE|Py_TPFLAGS_MAPPING);
        if (seq_or_mapping != Py_TPFLAGS_SEQUENCE) {
            PyMappingMethods *mm = obj_type->tp_as_mapping;
            if (mm && mm->mp_subscript)
                return __Pyx_GetItemInt_Fast_mapping(o, mm->mp_subscript, i);
        }
        PySequenceMethods *sm = obj_type->tp_as_sequence;
        if (likely(sm && sm->sq_item)) {
            if (wraparound && (i < 0) && unlikely(__Pyx_GetItemInt_wraparound(o, sm, &i) == -1))
                return NULL;
            return sm->sq_item(o, i);
        }
        if (seq_or_mapping == Py_TPFLAGS_SEQUENCE) {
            PyMappingMethods *mm = obj_type->tp_as_mapping;
            if (likely(mm && mm->mp_subscript))
                return __Pyx_GetItemInt_Fast_mapping(o, mm->mp_subscript, i);
        }
    }
#else
    if (!PyMapping_Check(o)) {
        return PySequence_GetItem(o, i);
    }
#endif
    (void)wraparound;
    (void)boundscheck;
    return __Pyx_GetItemInt_Generic_size(o, i);
}
 
/* RaiseErrorWithObjectType (used by ObjectGetItem) */
static void __Pyx_RaiseErrorWithType(PyObject* exc_type, const char* message, PyTypeObject *type_obj) {
    __Pyx_TypeName type_name = __Pyx_PyType_GetFullyQualifiedName(type_obj);
    #if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030d0000
    if (unlikely(!type_name)) return;
    #endif
    PyErr_Format(exc_type, message, type_name);
    __Pyx_DECREF_TypeName(type_name);
}
 
/* ObjectGetItem */
#if CYTHON_USE_TYPE_SLOTS
static PyObject *__Pyx_PyObject_GetIndex(PyObject *obj, PyObject *index) {
    PyObject *runerr = NULL;
    Py_ssize_t key_value;
    key_value = __Pyx_PyIndex_AsSsize_t(index);
    if (likely(key_value != -1 || !(runerr = PyErr_Occurred()))) {
        return __Pyx_GetItemInt_Fast(obj, key_value, 1, 1, 1);
    }
    if (PyErr_GivenExceptionMatches(runerr, PyExc_OverflowError)) {
        PyErr_Clear();
        __Pyx_RaiseErrorWithObjectType(
            PyExc_IndexError,
            "cannot fit '" __Pyx_FMT_TYPENAME "' into an index-sized integer",
            index);
    }
    return NULL;
}
static PyObject *__Pyx_PyObject_GetItem_Slow(PyObject *obj, PyObject *key) {
    if (likely(PyType_Check(obj))) {
        if ((PyTypeObject*)obj == &PyType_Type) {
            return Py_GenericAlias(obj, key);
        }
        PyObject *meth = __Pyx_PyObject_GetAttrStrNoError(obj, __pyx_mstate_global->__pyx_n_u_class_getitem);
        if (!meth) {
            if (PyErr_Occurred()) {
                return NULL;
            }
        } else {
            PyObject *result = __Pyx_PyObject_CallOneArg(meth, key);
            Py_DECREF(meth);
            return result;
        }
    }
    __Pyx_RaiseTypeErrorWithObjectType(
        "'" __Pyx_FMT_TYPENAME "' object is not subscriptable", obj);
    return NULL;
}
static PyObject *__Pyx_PyObject_GetItem(PyObject *obj, PyObject *key) {
    PyTypeObject *tp = Py_TYPE(obj);
    PyMappingMethods *mm = tp->tp_as_mapping;
    PySequenceMethods *sm = tp->tp_as_sequence;
    if (likely(mm && mm->mp_subscript)) {
        return mm->mp_subscript(obj, key);
    }
    if (likely(sm && sm->sq_item)) {
        return __Pyx_PyObject_GetIndex(obj, key);
    }
    return __Pyx_PyObject_GetItem_Slow(obj, key);
}
#endif
 
/* RejectKeywords */
static void __Pyx_RejectKeywords(const char* function_name, PyObject *kwds) {
    PyObject *key = NULL;
    if (CYTHON_VECTORCALL && likely(PyTuple_Check(kwds))) {
        key = __Pyx_PySequence_ITEM(kwds, 0);
    } else {
#if CYTHON_AVOID_BORROWED_REFS
        PyObject *pos = NULL;
#else
        Py_ssize_t pos = 0;
#endif
#if !CYTHON_COMPILING_IN_PYPY || defined(PyArg_ValidateKeywordArguments)
        if (unlikely(!PyArg_ValidateKeywordArguments(kwds))) return;
#endif
        __Pyx_PyDict_NextRef(kwds, &pos, &key, NULL);
#if CYTHON_AVOID_BORROWED_REFS
        Py_XDECREF(pos);
#endif
    }
    if (likely(key)) {
        PyErr_Format(PyExc_TypeError,
            "%s() got an unexpected keyword argument '%U'",
            function_name, key);
        Py_DECREF(key);
    }
}
 
/* DivInt[Py_ssize_t] */
static CYTHON_INLINE Py_ssize_t __Pyx_div_Py_ssize_t(Py_ssize_t a, Py_ssize_t b, int b_is_constant) {
    Py_ssize_t q = a / b;
    Py_ssize_t r = a - q*b;
    Py_ssize_t adapt_python = (b_is_constant ?
        ((r != 0) & ((r < 0) ^ (b < 0))) :
        ((r != 0) & ((r ^ b) < 0))
    );
    return q - adapt_python;
}
 
/* GetAttr3 */
#if __PYX_LIMITED_VERSION_HEX < 0x030d0000
static PyObject *__Pyx_GetAttr3Default(PyObject *d) {
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    if (unlikely(!__Pyx_PyErr_ExceptionMatches(PyExc_AttributeError)))
        return NULL;
    __Pyx_PyErr_Clear();
    Py_INCREF(d);
    return d;
}
#endif
static CYTHON_INLINE PyObject *__Pyx_GetAttr3(PyObject *o, PyObject *n, PyObject *d) {
    PyObject *r;
#if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
    int res = PyObject_GetOptionalAttr(o, n, &r);
    return (res != 0) ? r : __Pyx_NewRef(d);
#else
  #if CYTHON_USE_TYPE_SLOTS
    if (likely(PyUnicode_Check(n))) {
        r = __Pyx_PyObject_GetAttrStrNoError(o, n);
        if (unlikely(!r) && likely(!PyErr_Occurred())) {
            r = __Pyx_NewRef(d);
        }
        return r;
    }
  #endif
    r = PyObject_GetAttr(o, n);
    return (likely(r)) ? r : __Pyx_GetAttr3Default(d);
#endif
}
 
/* PyDictVersioning (used by GetModuleGlobalName) */
#if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj) {
    PyObject *dict = Py_TYPE(obj)->tp_dict;
    return likely(dict) ? __PYX_GET_DICT_VERSION(dict) : 0;
}
static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj) {
    PyObject **dictptr = NULL;
    Py_ssize_t offset = Py_TYPE(obj)->tp_dictoffset;
    if (offset) {
#if CYTHON_COMPILING_IN_CPYTHON
        dictptr = (likely(offset > 0)) ? (PyObject **) ((char *)obj + offset) : _PyObject_GetDictPtr(obj);
#else
        dictptr = _PyObject_GetDictPtr(obj);
#endif
    }
    return (dictptr && *dictptr) ? __PYX_GET_DICT_VERSION(*dictptr) : 0;
}
static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version) {
    PyObject *dict = Py_TYPE(obj)->tp_dict;
    if (unlikely(!dict) || unlikely(tp_dict_version != __PYX_GET_DICT_VERSION(dict)))
        return 0;
    return obj_dict_version == __Pyx_get_object_dict_version(obj);
}
#endif
 
/* GetModuleGlobalName */
#if CYTHON_USE_DICT_VERSIONS
static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value)
#else
static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name)
#endif
{
    PyObject *result;
#if CYTHON_COMPILING_IN_LIMITED_API
    if (unlikely(!__pyx_m)) {
        if (!PyErr_Occurred())
            PyErr_SetNone(PyExc_NameError);
        return NULL;
    }
    result = PyObject_GetAttr(__pyx_m, name);
    if (likely(result)) {
        return result;
    }
    if (!__Pyx_IgnoreException(PyExc_Exception)) {
        return NULL; // BaseException
    }
#elif CYTHON_AVOID_BORROWED_REFS || CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS
    if (unlikely(__Pyx_PyDict_GetItemRef(__pyx_mstate_global->__pyx_d, name, &result) == -1)) {
        if (!__Pyx_IgnoreException(PyExc_Exception)) {
            return NULL; // BaseException
        }
    }
    __PYX_UPDATE_DICT_CACHE(__pyx_mstate_global->__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return result;
    }
#else
    result = _PyDict_GetItem_KnownHash(__pyx_mstate_global->__pyx_d, name, ((PyASCIIObject *) name)->hash);
    __PYX_UPDATE_DICT_CACHE(__pyx_mstate_global->__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    }
    PyObject *exc = PyErr_Occurred();
    if (unlikely(exc) && !__Pyx_IgnoreGivenException(exc, PyExc_Exception)) {
        return NULL; // BaseException
    }
#endif
    return __Pyx_GetBuiltinName(name);
}
 
/* RaiseTooManyValuesToUnpack */
static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected) {
    PyErr_Format(PyExc_ValueError,
                 "too many values to unpack (expected %" CYTHON_FORMAT_SSIZE_T "d)", expected);
}
 
/* RaiseNeedMoreValuesToUnpack */
static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index) {
    PyErr_Format(PyExc_ValueError,
                 "need more than %" CYTHON_FORMAT_SSIZE_T "d value%.1s to unpack",
                 index, (index == 1) ? "" : "s");
}
 
/* RaiseNoneIterError */
static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void) {
    PyErr_SetString(PyExc_TypeError, "'NoneType' object is not iterable");
}
 
/* GetTopmostException (used by SaveResetException) */
#if CYTHON_USE_EXC_INFO_STACK && CYTHON_FAST_THREAD_STATE
static _PyErr_StackItem *
__Pyx_PyErr_GetTopmostException(PyThreadState *tstate)
{
    _PyErr_StackItem *exc_info = tstate->exc_info;
    while ((exc_info->exc_value == NULL || exc_info->exc_value == Py_None) &&
           exc_info->previous_item != NULL)
    {
        exc_info = exc_info->previous_item;
    }
    return exc_info;
}
#endif
 
/* SaveResetException */
#if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
  #if CYTHON_USE_EXC_INFO_STACK && PY_VERSION_HEX >= 0x030B00a4
    _PyErr_StackItem *exc_info = __Pyx_PyErr_GetTopmostException(tstate);
    PyObject *exc_value = exc_info->exc_value;
    if (exc_value == NULL || exc_value == Py_None) {
        *value = NULL;
        *type = NULL;
        *tb = NULL;
    } else {
        *value = exc_value;
        Py_INCREF(*value);
        *type = (PyObject*) Py_TYPE(exc_value);
        Py_INCREF(*type);
        *tb = PyException_GetTraceback(exc_value);
    }
  #elif CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = __Pyx_PyErr_GetTopmostException(tstate);
    *type = exc_info->exc_type;
    *value = exc_info->exc_value;
    *tb = exc_info->exc_traceback;
    Py_XINCREF(*type);
    Py_XINCREF(*value);
    Py_XINCREF(*tb);
  #else
    *type = tstate->exc_type;
    *value = tstate->exc_value;
    *tb = tstate->exc_traceback;
    Py_XINCREF(*type);
    Py_XINCREF(*value);
    Py_XINCREF(*tb);
  #endif
}
static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
  #if CYTHON_USE_EXC_INFO_STACK && PY_VERSION_HEX >= 0x030B00a4
    _PyErr_StackItem *exc_info = tstate->exc_info;
    PyObject *tmp_value = exc_info->exc_value;
    exc_info->exc_value = value;
    Py_XDECREF(tmp_value);
    Py_XDECREF(type);
    Py_XDECREF(tb);
  #else
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    #if CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = tstate->exc_info;
    tmp_type = exc_info->exc_type;
    tmp_value = exc_info->exc_value;
    tmp_tb = exc_info->exc_traceback;
    exc_info->exc_type = type;
    exc_info->exc_value = value;
    exc_info->exc_traceback = tb;
    #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = type;
    tstate->exc_value = value;
    tstate->exc_traceback = tb;
    #endif
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
  #endif
}
#endif
 
/* RaiseErrorWithObjectTypes (used by ExtTypeTest) */
static void __Pyx_RaiseErrorWithTypes1(PyObject* exc_type, const char *message, const char *arg, PyTypeObject *type_obj1, PyTypeObject *type_obj2) {
    __Pyx_TypeName type_name1 = __Pyx_PyType_GetFullyQualifiedName(type_obj1);
    #if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030d0000
    if (unlikely(!type_name1)) return;
    #endif
    __Pyx_TypeName type_name2 = __Pyx_PyType_GetFullyQualifiedName(type_obj2);
    #if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030d0000
    if (unlikely(!type_name2)) goto type2_failed;
    #endif
    PyErr_Format(exc_type, message, arg, type_name1, type_name2);
    __Pyx_DECREF_TypeName(type_name2);
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030d0000
type2_failed:
#endif
    __Pyx_DECREF_TypeName(type_name1);
}
 
/* ExtTypeTest */
static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type) {
    if (unlikely(!type)) {
        PyErr_SetString(PyExc_SystemError, "Missing type object");
        return 0;
    }
    if (likely(__Pyx_TypeCheck(obj, type)))
        return 1;
    __Pyx_RaiseTypeErrorWithTypes(
        "Cannot convert " __Pyx_FMT_TYPENAME " to " __Pyx_FMT_TYPENAME,
        Py_TYPE(obj), type);
    return 0;
}
 
/* 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
}
 
/* SwapException */
#if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx__ExceptionSwap(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
  #if CYTHON_USE_EXC_INFO_STACK && PY_VERSION_HEX >= 0x030B00a4
    _PyErr_StackItem *exc_info = tstate->exc_info;
    tmp_value = exc_info->exc_value;
    exc_info->exc_value = *value;
    if (tmp_value == NULL || tmp_value == Py_None) {
        Py_XDECREF(tmp_value);
        tmp_value = NULL;
        tmp_type = NULL;
        tmp_tb = NULL;
    } else {
        tmp_type = (PyObject*) Py_TYPE(tmp_value);
        Py_INCREF(tmp_type);
        #if CYTHON_COMPILING_IN_CPYTHON
        tmp_tb = ((PyBaseExceptionObject*) tmp_value)->traceback;
        Py_XINCREF(tmp_tb);
        #else
        tmp_tb = PyException_GetTraceback(tmp_value);
        #endif
    }
  #elif CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = tstate->exc_info;
    tmp_type = exc_info->exc_type;
    tmp_value = exc_info->exc_value;
    tmp_tb = exc_info->exc_traceback;
    exc_info->exc_type = *type;
    exc_info->exc_value = *value;
    exc_info->exc_traceback = *tb;
  #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = *type;
    tstate->exc_value = *value;
    tstate->exc_traceback = *tb;
  #endif
    *type = tmp_type;
    *value = tmp_value;
    *tb = tmp_tb;
}
#else
static CYTHON_INLINE void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    PyErr_GetExcInfo(&tmp_type, &tmp_value, &tmp_tb);
    PyErr_SetExcInfo(*type, *value, *tb);
    *type = tmp_type;
    *value = tmp_value;
    *tb = tmp_tb;
}
#endif
 
/* 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);
}
 
/* ListAppendAndDecrefInternal (used by ListCompAppendAndDecref) */
#if CYTHON_USE_PYLIST_INTERNALS && CYTHON_ASSUME_SAFE_MACROS && CYTHON_ASSUME_SAFE_SIZE
static CYTHON_INLINE void __Pyx__ListComp_AppendAndDecref(PyObject* list, Py_ssize_t len, PyObject* x) {
    PyList_SET_ITEM(list, len, x);
    Py_SET_SIZE(list, len + 1);
}
#endif
 
/* ListCompAppendAndDecref */
#if CYTHON_USE_PYLIST_INTERNALS && CYTHON_ASSUME_SAFE_MACROS && CYTHON_ASSUME_SAFE_SIZE
static CYTHON_INLINE int __Pyx_ListComp_AppendAndDecref(PyObject* list, PyObject* x) {
    PyListObject* L = (PyListObject*) list;
    Py_ssize_t len = Py_SIZE(list);
    if (likely(L->allocated > len)) {
        __Pyx__ListComp_AppendAndDecref(list, len, x);
        return 0;
    }
    int result = PyList_Append(list, x);
    Py_DECREF(x);
    return result;
}
#else
static CYTHON_INLINE int __Pyx_ListComp_AppendAndDecref(PyObject* list, PyObject* x) {
    int result = PyList_Append(list, x);
    Py_DECREF(x);
    return result;
}
#endif
 
/* PySequenceMultiply */
#if CYTHON_USE_TYPE_SLOTS
static PyObject* __Pyx_PySequence_Multiply_Generic(PyObject *seq, Py_ssize_t mul) {
    PyObject *result, *pymul = PyLong_FromSsize_t(mul);
    if (unlikely(!pymul))
        return NULL;
    result = PyNumber_Multiply(seq, pymul);
    Py_DECREF(pymul);
    return result;
}
static CYTHON_INLINE PyObject* __Pyx_PySequence_Multiply(PyObject *seq, Py_ssize_t mul) {
    PyTypeObject *type = Py_TYPE(seq);
    if (likely(type->tp_as_sequence && type->tp_as_sequence->sq_repeat)) {
        return type->tp_as_sequence->sq_repeat(seq, mul);
    } else {
        return __Pyx_PySequence_Multiply_Generic(seq, mul);
    }
}
#endif
 
/* PyNumberBinop */
#if !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL || CYTHON_COMPILING_IN_LIMITED_API)
#if CYTHON_USE_TYPE_SLOTS || __PYX_LIMITED_VERSION_HEX >= 0x030A0000
#ifndef __Pyx_DEFINED_BinopTypeError
#define __Pyx_DEFINED_BinopTypeError
static void __Pyx_BinopTypeError(PyObject *op1, PyObject *op2, const char* op, int inplace) {
    char opname[4] = {op[0], op[1], 0, 0};
    if (inplace) {
        opname[op[1] ? 2 : 1] = '=';
    }
    __Pyx_RaiseErrorWithObjectTypes1(
        PyExc_TypeError,
        "unsupported operand type(s) for %.3s: '" __Pyx_FMT_TYPENAME "' and '" __Pyx_FMT_TYPENAME "'",
        opname, op1, op2);
}
#endif
#endif
#ifndef __Pyx_DEFINED_PyNumber_Multiply_xfloat_int
#define __Pyx_DEFINED_PyNumber_Multiply_xfloat_int
static PyObject* __Pyx_PyNumber_Multiply_xfloat_int(PyObject *op1, PyObject *op2, int inplace) {
    if (likely(op2 != Py_None)) {
        double int_op2;
        #if CYTHON_USE_PYLONG_INTERNALS
        if (__Pyx_PyLong_IsCompact(op2)) {
            Py_ssize_t compact_op2 = __Pyx_PyLong_CompactValue(op2);
            int_op2 = (double) compact_op2;
        } else
        #endif
        {
            int_op2 = PyLong_AsDouble(op2);
            if (unlikely((int_op2 == -1.) && PyErr_Occurred())) return NULL;
        }
        double float_op1 = __Pyx_PyFloat_AS_DOUBLE(op1);
        #if !CYTHON_ASSUME_SAFE_MACROS
        if (unlikely((float_op1 == -1.) && PyErr_Occurred())) return NULL;
        #endif
        if (float_op1 == 0.) return __Pyx_NewRef(op1);
        return PyFloat_FromDouble(float_op1 * int_op2);
    }
    #if CYTHON_USE_TYPE_SLOTS || __PYX_LIMITED_VERSION_HEX >= 0x030A0000
    {
        PyTypeObject *type_op2 = Py_TYPE(op2);
        binaryfunc slot_func = __Pyx_PyType_GetSubSlot(type_op2, tp_as_number, nb_multiply, binaryfunc);
        if (likely(slot_func)) {
            PyObject *result = slot_func(op1, op2);
            if (likely(result != Py_NotImplemented)) {
                return result;
            }
            Py_DECREF(result);
        }
        __Pyx_BinopTypeError(op1, op2, "*", inplace);
        return NULL;
    }
    #else
    return (inplace) ? PyNumber_InPlaceMultiply(op1, op2) : PyNumber_Multiply(op1, op2);
    #endif
}
#endif
#ifndef __Pyx_DEFINED_PyNumber_Multiply_xint_int
#define __Pyx_DEFINED_PyNumber_Multiply_xint_int
static PyObject* __Pyx_PyNumber_Multiply_xint_int(PyObject *op1, PyObject *op2, int inplace) {
    #if CYTHON_USE_TYPE_SLOTS || __PYX_LIMITED_VERSION_HEX >= 0x030A0000
    {
        PyTypeObject *type_op2 = Py_TYPE(op2);
        binaryfunc slot_func = __Pyx_PyType_GetSubSlot(type_op2, tp_as_number, nb_multiply, binaryfunc);
        if (likely(slot_func)) {
            PyObject *result = slot_func(op1, op2);
            if (likely(result != Py_NotImplemented)) {
                return result;
            }
            Py_DECREF(result);
        }
        ssizeargfunc repeat_func = __Pyx_PyType_GetSubSlot(type_op2, tp_as_sequence, sq_repeat, ssizeargfunc);
        if (likely(repeat_func)) {
            Py_ssize_t count;
            #if CYTHON_USE_PYLONG_INTERNALS
            if (__Pyx_PyLong_IsCompact(op1)) {
                count = __Pyx_PyLong_CompactValue(op1);
            } else
            #endif
            {
                count = PyLong_AsSsize_t(op1);
                if (unlikely((count == -1) && PyErr_Occurred())) return NULL;
            }
            return repeat_func(op2, count);
        }
        __Pyx_BinopTypeError(op1, op2, "*", inplace);
        return NULL;
    }
    #else
    return (inplace) ? PyNumber_InPlaceMultiply(op1, op2) : PyNumber_Multiply(op1, op2);
    #endif
}
#endif
static CYTHON_INLINE PyObject* __Pyx__PyNumber_Multiply_object_int(PyObject *op1, PyObject *op2, int inplace) {
    if (PyFloat_CheckExact(op1)) {
        return __Pyx_PyNumber_Multiply_xfloat_int(op1, op2, inplace);
    }
    if (likely(PyLong_CheckExact(op1))) {
        if (likely(op2 != Py_None)) {
            #if CYTHON_USE_PYLONG_INTERNALS
            if (__Pyx_PyLong_IsCompact(op1)) {
                long long int_op1 = (long long) __Pyx_PyLong_CompactValue(op1);
                if (int_op1 == 0) return __Pyx_NewRef(op1);
                if (__Pyx_PyLong_IsCompact(op2)) {
                    long long int_op2 = (long long) __Pyx_PyLong_CompactValue(op2);
                    if (int_op2 == 0) return __Pyx_NewRef(op2);
                    return PyLong_FromLongLong(int_op1 * int_op2);
                }
            }
            else if (__Pyx_PyLong_IsZero(op2)) return __Pyx_NewRef(op2);
            #endif
            binaryfunc slot_func = __Pyx_PyType_GetSubSlot(&PyLong_Type, tp_as_number, nb_multiply, binaryfunc);
            if (likely(slot_func)) {
                return slot_func(op1, op2);
            }
        }
        return __Pyx_PyNumber_Multiply_xint_int(op1, op2, inplace);
    }
    return (inplace) ? PyNumber_InPlaceMultiply(op1, op2) : PyNumber_Multiply(op1, op2);
}
#endif
 
/* PyObjectFormatAndDecref */
static CYTHON_INLINE PyObject* __Pyx_PyObject_FormatSimpleAndDecref(PyObject* s, PyObject* f) {
    if (unlikely(!s)) return NULL;
    if (likely(PyUnicode_CheckExact(s))) return s;
    return __Pyx_PyObject_FormatAndDecref(s, f);
}
static CYTHON_INLINE PyObject* __Pyx_PyObject_FormatAndDecref(PyObject* s, PyObject* f) {
    PyObject *result;
    if (unlikely(!s)) return NULL;
    result = PyObject_Format(s, f);
    Py_DECREF(s);
    return result;
}
 
/* PyObjectFormat */
#if CYTHON_USE_UNICODE_WRITER
static PyObject* __Pyx_PyObject_Format(PyObject* obj, PyObject* format_spec) {
    int ret;
    _PyUnicodeWriter writer;
    if (likely(PyFloat_CheckExact(obj))) {
        _PyUnicodeWriter_Init(&writer);
        ret = _PyFloat_FormatAdvancedWriter(
            &writer,
            obj,
            format_spec, 0, PyUnicode_GET_LENGTH(format_spec));
    } else if (likely(PyLong_CheckExact(obj))) {
        _PyUnicodeWriter_Init(&writer);
        ret = _PyLong_FormatAdvancedWriter(
            &writer,
            obj,
            format_spec, 0, PyUnicode_GET_LENGTH(format_spec));
    } else {
        return PyObject_Format(obj, format_spec);
    }
    if (unlikely(ret == -1)) {
        _PyUnicodeWriter_Dealloc(&writer);
        return NULL;
    }
    return _PyUnicodeWriter_Finish(&writer);
}
#endif
 
/* SetItemInt */
static int __Pyx_SetItemInt_Generic(PyObject *o, PyObject *j, PyObject *v) {
    int r;
    if (unlikely(!j)) return -1;
    r = PyObject_SetItem(o, j, v);
    Py_DECREF(j);
    return r;
}
#if CYTHON_USE_TYPE_SLOTS && !CYTHON_COMPILING_IN_PYPY
static CYTHON_INLINE int __Pyx_SetItemInt_Fast_mapping(PyObject *o, objobjargproc setitem, Py_ssize_t i, PyObject *value) {
    PyObject *key = PyLong_FromSsize_t(i);
    if (unlikely(!key)) return -1;
    int r = setitem(o, key, value);
    Py_DECREF(key);
    return r;
}
#endif
static CYTHON_INLINE int __Pyx_SetItemInt_Fast(PyObject *o, Py_ssize_t i, PyObject *v,
                                               int wraparound, int boundscheck, int unsafe_shared) {
    CYTHON_MAYBE_UNUSED_VAR(unsafe_shared);
#if CYTHON_ASSUME_SAFE_MACROS && CYTHON_ASSUME_SAFE_SIZE && !CYTHON_AVOID_BORROWED_REFS
    if (PyList_CheckExact(o)) {
        Py_ssize_t n = (!wraparound) ? i : ((likely(i >= 0)) ? i : i + PyList_GET_SIZE(o));
        if ((CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS && !__Pyx_IS_UNIQUELY_REFERENCED(o, unsafe_shared))) {
            Py_INCREF(v);
            return PyList_SetItem(o, n, v);
        } else if ((!boundscheck) || likely(__Pyx_is_valid_index(n, PyList_GET_SIZE(o)))) {
            PyObject* old;
            Py_INCREF(v);
            old = PyList_GET_ITEM(o, n);
            PyList_SET_ITEM(o, n, v);
            Py_DECREF(old);
            return 0;
        }
    } else
#endif
#if CYTHON_USE_TYPE_SLOTS && !CYTHON_COMPILING_IN_PYPY
    if (PyDict_CheckExact(o)) {
        return __Pyx_SetItemInt_Fast_mapping(o, PyDict_Type.tp_as_mapping->mp_ass_subscript, i, v);
    } else
    {
        PyTypeObject *obj_type = Py_TYPE(o);
        int seq_or_mapping = __Pyx_PyType_GetFlags(obj_type) & (Py_TPFLAGS_SEQUENCE|Py_TPFLAGS_MAPPING);
        if (seq_or_mapping != Py_TPFLAGS_SEQUENCE) {
            PyMappingMethods *mm = obj_type->tp_as_mapping;
            if (mm && mm->mp_ass_subscript)
                return __Pyx_SetItemInt_Fast_mapping(o, mm->mp_ass_subscript, i, v);
        }
        PySequenceMethods *sm = obj_type->tp_as_sequence;
        if (likely(sm && sm->sq_ass_item)) {
            if (wraparound && (i < 0) && unlikely(__Pyx_GetItemInt_wraparound(o, sm, &i) == -1))
                return -1;
            return sm->sq_ass_item(o, i, v);
        }
        if (seq_or_mapping == Py_TPFLAGS_SEQUENCE) {
            PyMappingMethods *mm = obj_type->tp_as_mapping;
            if (likely(mm && mm->mp_ass_subscript))
                return __Pyx_SetItemInt_Fast_mapping(o, mm->mp_ass_subscript, i, v);
        }
    }
#else
    if (!PyMapping_Check(o)) {
        return PySequence_SetItem(o, i, v);
    }
#endif
    (void)wraparound;
    (void)boundscheck;
    return __Pyx_SetItemInt_Generic(o, PyLong_FromSsize_t(i), v);
}
 
/* RaiseUnboundLocalError */
static void __Pyx_RaiseUnboundLocalError(const char *varname) {
    PyErr_Format(PyExc_UnboundLocalError, "local variable '%s' referenced before assignment", varname);
}
 
/* DivInt[long] */
static CYTHON_INLINE long __Pyx_div_long(long a, long b, int b_is_constant) {
    long q = a / b;
    long r = a - q*b;
    long adapt_python = (b_is_constant ?
        ((r != 0) & ((r < 0) ^ (b < 0))) :
        ((r != 0) & ((r ^ b) < 0))
    );
    return q - adapt_python;
}
 
/* ListAppend */
#if CYTHON_USE_PYLIST_INTERNALS && CYTHON_ASSUME_SAFE_MACROS && CYTHON_ASSUME_SAFE_SIZE
static CYTHON_INLINE int __Pyx_PyList_Append(PyObject* list, PyObject* x) {
    PyListObject* L = (PyListObject*) list;
    Py_ssize_t len = Py_SIZE(list);
    if (likely(L->allocated > len) & likely(len > (L->allocated >> 1))) {
        Py_INCREF(x);
        __Pyx__ListComp_AppendAndDecref(list, len, x);
        return 0;
    }
    return PyList_Append(list, x);
}
#endif
 
/* PyObjectCallMethod1 (used by StringJoin) */
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethod1(PyObject* obj, PyObject* method_name, PyObject* arg) {
#if CYTHON_VECTORCALL && (__PYX_LIMITED_VERSION_HEX >= 0x030C0000 || !CYTHON_COMPILING_IN_LIMITED_API)
    PyObject *args[2] = {obj, arg};
    return PyObject_VectorcallMethod(method_name, args, 2 | PY_VECTORCALL_ARGUMENTS_OFFSET, NULL);
#elif CYTHON_COMPILING_IN_LIMITED_API
    return PyObject_CallMethodObjArgs(obj, method_name, arg, NULL);
#else
    return PyObject_CallMethodOneArg(obj, method_name, arg);
#endif
}
 
/* StringJoin */
static CYTHON_INLINE PyObject* __Pyx_PyBytes_Join(PyObject* sep, PyObject* values) {
    (void) __Pyx_PyObject_CallMethod1;
#if !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x030e0000 || defined(PyBytes_Join)
    return PyBytes_Join(sep, values);
#elif CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030d0000 || defined(_PyBytes_Join)
    return _PyBytes_Join(sep, values);
#else
    return __Pyx_PyObject_CallMethod1(sep, __pyx_mstate_global->__pyx_n_u_join, values);
#endif
}
 
/* CIntToPyUnicode */
static CYTHON_INLINE PyObject* __Pyx_uchar___Pyx_PyUnicode_From_size_t(size_t value, Py_ssize_t width, char padding_char) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const size_t neg_one = (size_t) -1, const_zero = (size_t) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (unlikely(!(is_unsigned || value == 0 || value > 0) ||
                    !(sizeof(value) <= 2 || value & ~ (size_t) 0x01fffff || __Pyx_CheckUnicodeValue((int) value)))) {
        PyErr_SetString(PyExc_OverflowError, "%c arg not in range(0x110000)");
        return NULL;
    }
    if (width <= 1) {
        return PyUnicode_FromOrdinal((int) value);
    }
    return __Pyx_PyUnicode_FromOrdinal_Padded((int) value, width, padding_char);
}
static CYTHON_INLINE PyObject* __Pyx____Pyx_PyUnicode_From_size_t(size_t value, Py_ssize_t width, char padding_char, char format_char) {
    char digits[sizeof(size_t)*3+2];
    char *dpos, *end = digits + sizeof(size_t)*3+2;
    const char *hex_digits = DIGITS_HEX;
    Py_ssize_t length, ulength;
    int prepend_sign, last_one_off;
    size_t remaining;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const size_t neg_one = (size_t) -1, const_zero = (size_t) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (format_char == 'X') {
        hex_digits += 16;
        format_char = 'x';
    }
    remaining = value;
    last_one_off = 0;
    dpos = end;
    do {
        int digit_pos;
        switch (format_char) {
        case 'o':
            digit_pos = abs((int)(remaining % (8*8)));
            remaining = (size_t) (remaining / (8*8));
            dpos -= 2;
            memcpy(dpos, DIGIT_PAIRS_8 + digit_pos * 2, 2);
            last_one_off = (digit_pos < 8);
            break;
        case 'd':
            digit_pos = abs((int)(remaining % (10*10)));
            remaining = (size_t) (remaining / (10*10));
            dpos -= 2;
            memcpy(dpos, DIGIT_PAIRS_10 + digit_pos * 2, 2);
            last_one_off = (digit_pos < 10);
            break;
        case 'x':
            *(--dpos) = hex_digits[abs((int)(remaining % 16))];
            remaining = (size_t) (remaining / 16);
            break;
        default:
            assert(0);
            break;
        }
    } while (unlikely(remaining != 0));
    assert(!last_one_off || *dpos == '0');
    dpos += last_one_off;
    length = end - dpos;
    ulength = length;
    prepend_sign = 0;
    if (!is_unsigned && value <= neg_one) {
        if (padding_char == ' ' || width <= length + 1) {
            *(--dpos) = '-';
            ++length;
        } else {
            prepend_sign = 1;
        }
        ++ulength;
    }
    if (width > ulength) {
        ulength = width;
    }
    if (ulength == 1) {
        return PyUnicode_FromOrdinal(*dpos);
    }
    return __Pyx_PyUnicode_BuildFromAscii(ulength, dpos, (int) length, prepend_sign, padding_char);
}
 
/* SliceObject */
static CYTHON_INLINE int __Pyx_PyObject_SetSlice(PyObject* obj, PyObject* value,
        Py_ssize_t cstart, Py_ssize_t cstop,
        PyObject** _py_start, PyObject** _py_stop, PyObject** _py_slice,
        int has_cstart, int has_cstop, CYTHON_UNUSED int wraparound) {
#if CYTHON_USE_TYPE_SLOTS
    PyMappingMethods* mp = Py_TYPE(obj)->tp_as_mapping;
    if (likely(mp && mp->mp_ass_subscript))
#else
    if ((1))
#endif
    {
        int result;
        PyObject *py_slice, *py_start, *py_stop;
        if (_py_slice) {
            py_slice = *_py_slice;
        } else {
            PyObject* owned_start = NULL;
            PyObject* owned_stop = NULL;
            if (_py_start) {
                py_start = *_py_start;
            } else {
                if (has_cstart) {
                    owned_start = py_start = PyLong_FromSsize_t(cstart);
                    if (unlikely(!py_start)) goto bad;
                } else
                    py_start = Py_None;
            }
            if (_py_stop) {
                py_stop = *_py_stop;
            } else {
                if (has_cstop) {
                    owned_stop = py_stop = PyLong_FromSsize_t(cstop);
                    if (unlikely(!py_stop)) {
                        Py_XDECREF(owned_start);
                        goto bad;
                    }
                } else
                    py_stop = Py_None;
            }
            py_slice = PySlice_New(py_start, py_stop, Py_None);
            Py_XDECREF(owned_start);
            Py_XDECREF(owned_stop);
            if (unlikely(!py_slice)) goto bad;
        }
#if CYTHON_USE_TYPE_SLOTS
        result = mp->mp_ass_subscript(obj, py_slice, value);
#else
        result = value ? PyObject_SetItem(obj, py_slice, value) : PyObject_DelItem(obj, py_slice);
#endif
        if (!_py_slice) {
            Py_DECREF(py_slice);
        }
        return result;
    } else {
        __Pyx_RaiseTypeErrorWithObjectType(
            (value) ?
                "'" __Pyx_FMT_TYPENAME "' object does not support slice assignment" :
                "'" __Pyx_FMT_TYPENAME "' object does not support slice deletion",
            obj);
    }
bad:
    return -1;
}
 
/* AllocateExtensionType */
static PyObject *__Pyx_AllocateExtensionType(PyTypeObject *t, int is_final) {
    if (is_final || likely(!__Pyx_PyType_HasFeature(t, Py_TPFLAGS_IS_ABSTRACT))) {
        allocfunc alloc_func = __Pyx_PyType_GetSlot(t, tp_alloc, allocfunc);
        return alloc_func(t, 0);
    } else {
        newfunc tp_new = __Pyx_PyType_TryGetSlot(&PyBaseObject_Type, tp_new, newfunc);
    #if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
        if (!tp_new) {
            PyObject *new_str = PyUnicode_FromString("__new__");
            if (likely(new_str)) {
                PyObject *o = PyObject_CallMethodObjArgs((PyObject *)&PyBaseObject_Type, new_str, t, NULL);
                Py_DECREF(new_str);
                return o;
            } else
                return NULL;
        } else
    #endif
        return tp_new(t, __pyx_mstate_global->__pyx_empty_tuple, 0);
    }
}
 
/* CallSlotAsVectorcallUnpackDict (used by CallSlotAsVectorcall) */
static CYTHON_INLINE int __Pyx_CallSlotAsVectorcallUnpackDict(Py_ssize_t args_size, PyObject *keys_dict, PyObject **args, PyObject *kwnames) {
    Py_ssize_t pos = 0, i = 0;
    PyObject *key, *value;
    while (PyDict_Next(keys_dict, &pos, &key, &value)) {
        Py_INCREF(value);
        args[args_size+i] = value;
        Py_INCREF(key);
        if (unlikely(__Pyx_PyTuple_SET_ITEM(kwnames, i, key) == -1)) {
            return -1;
        }
        ++i;
    }
    return 0;
}
 
/* CallSlotAsVectorcall */
#if CYTHON_VECTORCALL_TPNEW
static PyObject * __Pyx_CallTpnewAsVectorcall(__Pyx_tpnewvectorcallfunc f, PyTypeObject* o, PyObject *a, PyObject *k) {
    Py_ssize_t k_size = k ? __Pyx_PyDict_GET_SIZE(k) : 0;
#if !CYTHON_ASSUME_SAFE_SIZE
    if (unlikely(k_size < 0)) return NULL;
#endif
    Py_ssize_t a_size = __Pyx_PyTuple_GET_SIZE(a);
#if !CYTHON_ASSUME_SAFE_SIZE
    if (unlikely(a_size < 0)) return NULL;
#endif
#if CYTHON_ASSUME_SAFE_MACROS
    if (k_size == 0) {
        return f(o, &PyTuple_GET_ITEM(a, 0), a_size, NULL);
    }
#else
    if (k_size == 0 && a_size == 0) {
        return f(o, NULL, 0, NULL);
    }
#endif
    PyObject *stack_args[5];
    PyObject **args = stack_args;
    Py_ssize_t maxnargs = PY_SSIZE_T_MAX / sizeof(PyObject*) - 1;
    if (a_size > maxnargs - k_size) {
        PyErr_NoMemory();
        return NULL;
    }
    Py_ssize_t total_size = a_size + k_size;
    if (total_size > 5) {
        args = (PyObject**)PyMem_Malloc(((size_t)total_size)*sizeof(PyObject*));
        if (unlikely(!args)) {
            PyErr_NoMemory();
            return NULL;
        }
    }
    PyObject * result = NULL;
    PyObject *kwnames = NULL;
    int unpack_dict_result;
    Py_ssize_t i = 0;
    for (; i < a_size; ++i) {
        args[i] = __Pyx_PyTuple_GET_ITEM(a, i);
#if !CYTHON_ASSUME_SAFE_MACROS
        if (unlikely(!args[i])) goto cleanup;
#endif
    }
#if !CYTHON_ASSUME_SAFE_MACROS
    if (k)  // There's a specific shortcut earlier for ASSUME_SAFE_MACROS with no keywords
#endif
    {
        kwnames = PyTuple_New(k_size);
        if (unlikely(!kwnames)) goto cleanup;
        __Pyx_BEGIN_CRITICAL_SECTION(k);
        unpack_dict_result = __Pyx_CallSlotAsVectorcallUnpackDict(a_size, k, args, kwnames);
        __Pyx_END_CRITICAL_SECTION();
        if (unlikely(unpack_dict_result == -1)) goto cleanup;
    }
    result = f(o, args, a_size, kwnames);
  cleanup:
    Py_XDECREF(kwnames);
    for (i=a_size; i<total_size; ++i) {
        Py_XDECREF(args[i]);
    }
    if (args != stack_args) {
        PyMem_Free(args);
    }
    return result;
}
#endif
 
/* CallNewInitFromVectorcall */
#if CYTHON_VECTORCALL_TPNEW
static PyObject *__Pyx_CallNewInitFromVectorcall(PyTypeObject *t, PyObject *const *args, size_t nargsf, PyObject *kwnames) {
    newfunc tp_new = __Pyx_PyType_GetSlot(t, tp_new, newfunc);
    if (unlikely(!tp_new)) {
        __Pyx_RaiseErrorWithType(PyExc_TypeError, "cannot create " __Pyx_FMT_TYPENAME " instances", t);
        return NULL;
    }
    Py_ssize_t nargs = __Pyx_PyVectorcall_NARGS(nargsf);
    PyObject *result = NULL, *args_tuple = NULL, *kwds_dict = NULL;
    Py_ssize_t kw_size = kwnames ? __Pyx_PyTuple_GET_SIZE(kwnames) : 0;
#if !CYTHON_ASSUME_SAFE_SIZE
    if (unlikely(kw_size == -1)) {
        return NULL;
    }
#endif
    if (kw_size) {
        kwds_dict = __Pyx_PyDict_NewPresized(kw_size);
        if (unlikely(!kwds_dict)) {
            return NULL;
        }
        for (Py_ssize_t i=0; i<kw_size; ++i) {
            PyObject *v = args[nargs + i];
            PyObject *k = __Pyx_PyTuple_GET_ITEM(kwnames, i);
#if !CYTHON_ASSUME_SAFE_MACROS
            if (unlikely(!k)) {
                goto end;
            }
#endif
            if (unlikely(PyDict_SetItem(kwds_dict, k, v) < 0)) {
                goto end;
            }
        }
    }
    if (nargs) {
        args_tuple = __Pyx_PyTuple_FromArray(args, nargs);
        if (unlikely(!args_tuple)) {
            goto end;
        }
    } else {
        args_tuple = __Pyx_NewRef(__pyx_mstate_global->__pyx_empty_tuple);
    }
    result = tp_new(t, args_tuple, kwds_dict);
    if (unlikely(!result)) {
        goto end;
    }
    if (PyObject_TypeCheck(result, t)) {
        initproc tp_init = __Pyx_PyObject_GetSlot(result, tp_init, initproc);
        if (tp_init && unlikely(tp_init(result, args_tuple, kwds_dict) < 0)) {
            Py_CLEAR(result);
        }
    }
  end:
    Py_XDECREF(args_tuple);
    Py_XDECREF(kwds_dict);
    return result;
}
#endif
 
/* CallTypeTraverse */
#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
 
/* CallSlotAsVectorcall */
#if CYTHON_VECTORCALL_TPNEW
static int __Pyx_CallTpinitAsVectorcall(__Pyx_tpinitvectorcallfunc f, PyObject* o, PyObject *a, PyObject *k) {
    Py_ssize_t k_size = k ? __Pyx_PyDict_GET_SIZE(k) : 0;
#if !CYTHON_ASSUME_SAFE_SIZE
    if (unlikely(k_size < 0)) return -1;
#endif
    Py_ssize_t a_size = __Pyx_PyTuple_GET_SIZE(a);
#if !CYTHON_ASSUME_SAFE_SIZE
    if (unlikely(a_size < 0)) return -1;
#endif
#if CYTHON_ASSUME_SAFE_MACROS
    if (k_size == 0) {
        return f(o, &PyTuple_GET_ITEM(a, 0), a_size, NULL);
    }
#else
    if (k_size == 0 && a_size == 0) {
        return f(o, NULL, 0, NULL);
    }
#endif
    PyObject *stack_args[5];
    PyObject **args = stack_args;
    Py_ssize_t maxnargs = PY_SSIZE_T_MAX / sizeof(PyObject*) - 1;
    if (a_size > maxnargs - k_size) {
        PyErr_NoMemory();
        return -1;
    }
    Py_ssize_t total_size = a_size + k_size;
    if (total_size > 5) {
        args = (PyObject**)PyMem_Malloc(((size_t)total_size)*sizeof(PyObject*));
        if (unlikely(!args)) {
            PyErr_NoMemory();
            return -1;
        }
    }
    int result = -1;
    PyObject *kwnames = NULL;
    int unpack_dict_result;
    Py_ssize_t i = 0;
    for (; i < a_size; ++i) {
        args[i] = __Pyx_PyTuple_GET_ITEM(a, i);
#if !CYTHON_ASSUME_SAFE_MACROS
        if (unlikely(!args[i])) goto cleanup;
#endif
    }
#if !CYTHON_ASSUME_SAFE_MACROS
    if (k)  // There's a specific shortcut earlier for ASSUME_SAFE_MACROS with no keywords
#endif
    {
        kwnames = PyTuple_New(k_size);
        if (unlikely(!kwnames)) goto cleanup;
        __Pyx_BEGIN_CRITICAL_SECTION(k);
        unpack_dict_result = __Pyx_CallSlotAsVectorcallUnpackDict(a_size, k, args, kwnames);
        __Pyx_END_CRITICAL_SECTION();
        if (unlikely(unpack_dict_result == -1)) goto cleanup;
    }
    result = f(o, args, a_size, kwnames);
  cleanup:
    Py_XDECREF(kwnames);
    for (i=a_size; i<total_size; ++i) {
        Py_XDECREF(args[i]);
    }
    if (args != stack_args) {
        PyMem_Free(args);
    }
    return result;
}
#endif
 
/* PyObjectCallMethod0 (used by PyType_Ready) */
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethod0(PyObject* obj, PyObject* method_name) {
#if CYTHON_VECTORCALL && (__PYX_LIMITED_VERSION_HEX >= 0x030C0000 || !CYTHON_COMPILING_IN_LIMITED_API)
    return PyObject_VectorcallMethod(method_name, &obj, 1 | PY_VECTORCALL_ARGUMENTS_OFFSET, NULL);
#elif CYTHON_COMPILING_IN_LIMITED_API
    return PyObject_CallMethodObjArgs(obj, method_name, NULL);
#else
    return PyObject_CallMethodNoArgs(obj, method_name);
#endif
}
 
/* GetTypeDictOffset (used by ValidateBasesTuple) */
#if !CYTHON_USE_TYPE_SLOTS
CYTHON_UNUSED static Py_ssize_t __Pyx_GetTypeDictOffset(PyObject *tp, int require_cython_valid_result) {
    PyObject *tp_dictoffset_o;
    Py_ssize_t tp_dictoffset;
    tp_dictoffset_o = PyObject_GetAttrString(tp, "__dictoffset__");
    if (unlikely(!tp_dictoffset_o)) return -1;
    tp_dictoffset = PyLong_AsSsize_t(tp_dictoffset_o);
    Py_DECREF(tp_dictoffset_o);
    if (unlikely(require_cython_valid_result && tp_dictoffset == 0)) {
        PyErr_SetString(
            PyExc_TypeError,
            "'type' doesn't have a dictoffset");
        return -1;
    } else if (unlikely(require_cython_valid_result && tp_dictoffset < 0)) {
        PyErr_SetString(
            PyExc_TypeError,
            "'type' has an unexpected negative dictoffset. "
            "Please report this as Cython bug");
        return -1;
    }
    return tp_dictoffset;
}
#endif
 
/* ValidateBasesTuple (used by PyType_Ready) */
#if CYTHON_COMPILING_IN_CPYTHON || CYTHON_COMPILING_IN_LIMITED_API || CYTHON_USE_TYPE_SPECS
static int __Pyx_validate_bases_tuple(const char *type_name, int has_dictoffset, PyObject *bases) {
    Py_ssize_t i, n;
#if CYTHON_ASSUME_SAFE_SIZE
    n = PyTuple_GET_SIZE(bases);
#else
    n = PyTuple_Size(bases);
    if (unlikely(n < 0)) return -1;
#endif
    if (!has_dictoffset) {
        PyObject *b;
#if CYTHON_AVOID_BORROWED_REFS
        b = PySequence_GetItem(bases, 0);
        if (!b) return -1;
#elif CYTHON_ASSUME_SAFE_MACROS
        b = PyTuple_GET_ITEM(bases, 0);
#else
        b = PyTuple_GetItem(bases, 0);
        if (!b) return -1;
#endif
#if CYTHON_USE_TYPE_SLOTS
        has_dictoffset = ((PyTypeObject*)b)->tp_dictoffset != 0;
#else
        Py_ssize_t dictoffset = __Pyx_GetTypeDictOffset(b, 0);
        has_dictoffset = dictoffset != 0;
#endif
#if CYTHON_AVOID_BORROWED_REFS
        Py_DECREF(b);
#endif
#if !CYTHON_USE_TYPE_SLOTS
        if (dictoffset == -1 && PyErr_Occurred()) return -1;
#endif
    }
    for (i = 1; i < n; i++)
    {
        PyTypeObject *b;
#if CYTHON_AVOID_BORROWED_REFS
        PyObject *b0 = PySequence_GetItem(bases, i);
        if (!b0) return -1;
#elif CYTHON_ASSUME_SAFE_MACROS
        PyObject *b0 = PyTuple_GET_ITEM(bases, i);
#else
        PyObject *b0 = PyTuple_GetItem(bases, i);
        if (!b0) return -1;
#endif
        b = (PyTypeObject*) b0;
        if (!__Pyx_PyType_HasFeature(b, Py_TPFLAGS_HEAPTYPE))
        {
            __Pyx_RaiseErrorWithType(
                PyExc_TypeError, "base class '" __Pyx_FMT_TYPENAME "' is not a heap type", b);
#if CYTHON_AVOID_BORROWED_REFS
            Py_DECREF(b0);
#endif
            return -1;
        }
        if (!has_dictoffset)
        {
            Py_ssize_t b_dictoffset = 0;
#if CYTHON_USE_TYPE_SLOTS
            b_dictoffset = b->tp_dictoffset;
#else
            b_dictoffset = __Pyx_GetTypeDictOffset((PyObject*)b, 0);
            if (b_dictoffset == -1 && PyErr_Occurred()) goto dictoffset_return;
#endif
            if (b_dictoffset) {
                __Pyx_RaiseErrorWithType1(
                    PyExc_TypeError,
                    "extension type '%.200s' has no __dict__ slot, "
                    "but base type '" __Pyx_FMT_TYPENAME "' has: "
                    "either add 'cdef dict __dict__' to the extension type "
                    "or add '__slots__ = [...]' to the base type",
                    type_name, b);
#if !CYTHON_USE_TYPE_SLOTS
              dictoffset_return:
#endif
#if CYTHON_AVOID_BORROWED_REFS
                Py_DECREF(b0);
#endif
                return -1;
            }
        }
#if CYTHON_AVOID_BORROWED_REFS
        Py_DECREF(b0);
#endif
    }
    return 0;
}
#endif
 
/* PyType_Ready */
CYTHON_UNUSED static int __Pyx_PyType_HasMultipleInheritance(PyTypeObject *t) {
    while (t) {
        PyObject *bases = __Pyx_PyType_GetSlot(t, tp_bases, PyObject*);
        if (bases) {
            return 1;
        }
        t = __Pyx_PyType_GetSlot(t, tp_base, PyTypeObject*);
    }
    return 0;
}
static int __Pyx_PyType_Ready(PyTypeObject *t) {
#if CYTHON_USE_TYPE_SPECS || !CYTHON_COMPILING_IN_CPYTHON
    (void)__Pyx_PyObject_CallMethod0;
#if CYTHON_USE_TYPE_SPECS
    (void)__Pyx_validate_bases_tuple;
#endif
    return PyType_Ready(t);
#else
    int r;
    if (!__Pyx_PyType_HasMultipleInheritance(t)) {
        return PyType_Ready(t);
    }
    PyObject *bases = __Pyx_PyType_GetSlot(t, tp_bases, PyObject*);
    if (bases && unlikely(__Pyx_validate_bases_tuple(t->tp_name, t->tp_dictoffset != 0, bases) == -1))
        return -1;
    {
        int gc_was_enabled;
    #if PY_VERSION_HEX >= 0x030A00b1
        gc_was_enabled = PyGC_Disable();
        (void)__Pyx_PyObject_CallMethod0;
    #else
        PyObject *ret, *py_status;
        PyObject *gc = NULL;
        #if (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM+0 >= 0x07030400) &&\
                !CYTHON_COMPILING_IN_GRAAL
        gc = PyImport_GetModule(__pyx_mstate_global->__pyx_kp_u_gc);
        #endif
        if (unlikely(!gc)) gc = PyImport_Import(__pyx_mstate_global->__pyx_kp_u_gc);
        if (unlikely(!gc)) return -1;
        py_status = __Pyx_PyObject_CallMethod0(gc, __pyx_mstate_global->__pyx_kp_u_isenabled);
        if (unlikely(!py_status)) {
            Py_DECREF(gc);
            return -1;
        }
        gc_was_enabled = __Pyx_PyObject_IsTrue(py_status);
        Py_DECREF(py_status);
        if (gc_was_enabled > 0) {
            ret = __Pyx_PyObject_CallMethod0(gc, __pyx_mstate_global->__pyx_kp_u_disable);
            if (unlikely(!ret)) {
                Py_DECREF(gc);
                return -1;
            }
            Py_DECREF(ret);
        } else if (unlikely(gc_was_enabled == -1)) {
            Py_DECREF(gc);
            return -1;
        }
    #endif
        t->tp_flags |= Py_TPFLAGS_HEAPTYPE;
#if PY_VERSION_HEX >= 0x030A0000
        t->tp_flags |= Py_TPFLAGS_IMMUTABLETYPE;
#endif
        r = PyType_Ready(t);
        t->tp_flags &= ~Py_TPFLAGS_HEAPTYPE;
    #if PY_VERSION_HEX >= 0x030A00b1
        if (gc_was_enabled)
            PyGC_Enable();
    #else
        if (gc_was_enabled) {
            PyObject *tp, *v, *tb;
            PyErr_Fetch(&tp, &v, &tb);
            ret = __Pyx_PyObject_CallMethod0(gc, __pyx_mstate_global->__pyx_kp_u_enable);
            if (likely(ret || r == -1)) {
                Py_XDECREF(ret);
                PyErr_Restore(tp, v, tb);
            } else {
                Py_XDECREF(tp);
                Py_XDECREF(v);
                Py_XDECREF(tb);
                r = -1;
            }
        }
        Py_DECREF(gc);
    #endif
    }
    return r;
#endif
}
 
/* LimitedApiGetTypeTypeDict (used by DelItemOnTypeDict) */
#if CYTHON_COMPILING_IN_LIMITED_API
static PyObject *__Pyx_GetTypeTypeDict(PyTypeObject *tp) {
    static Py_ssize_t tp_dictoffset = 0;
    if (unlikely(tp_dictoffset == 0)) {
        tp_dictoffset = __Pyx_GetTypeDictOffset((PyObject*)(&PyType_Type), 1);
        if (unlikely(tp_dictoffset == -1 && PyErr_Occurred())) {
            tp_dictoffset = 0; // try again next time?
            return NULL;
        }
    }
    return *(PyObject**)((char*)tp + tp_dictoffset);
}
#endif
 
/* DelItemOnTypeDict (used by SetupReduce) */
static int __Pyx__DelItemOnTypeDict(PyTypeObject *tp, PyObject *k) {
    int result;
    PyObject *tp_dict;
#if CYTHON_COMPILING_IN_LIMITED_API
    tp_dict = __Pyx_GetTypeTypeDict(tp);
    if (unlikely(!tp_dict)) return -1;
#else
    tp_dict = tp->tp_dict;
#endif
    result = PyDict_DelItem(tp_dict, k);
    if (likely(!result)) PyType_Modified(tp);
    return result;
}
 
/* SetItemOnTypeDict (used by SetupReduce) */
static int __Pyx__SetItemOnTypeDict(PyTypeObject *tp, PyObject *k, PyObject *v) {
    int result;
    PyObject *tp_dict;
#if CYTHON_COMPILING_IN_LIMITED_API
    tp_dict = __Pyx_GetTypeTypeDict(tp);
    if (unlikely(!tp_dict)) return -1;
#else
    tp_dict = tp->tp_dict;
#endif
    result = PyDict_SetItem(tp_dict, k, v);
    if (likely(!result)) {
        PyType_Modified(tp);
        if (unlikely(PyObject_HasAttr(v, __pyx_mstate_global->__pyx_n_u_set_name))) {
            PyObject *setNameResult = PyObject_CallMethodObjArgs(v, __pyx_mstate_global->__pyx_n_u_set_name,  (PyObject *) tp, k, NULL);
            if (!setNameResult) return -1;
            Py_DECREF(setNameResult);
        }
    }
    return result;
}
 
/* SetupReduce */
static int __Pyx_setup_reduce_is_named(PyObject* meth, PyObject* name) {
  int ret;
  PyObject *name_attr;
  name_attr = __Pyx_PyObject_GetAttrStrNoError(meth, __pyx_mstate_global->__pyx_n_u_name_2);
  if (likely(name_attr)) {
      ret = PyObject_RichCompareBool(name_attr, name, Py_EQ);
  } else {
      ret = -1;
  }
  if (unlikely(ret < 0) && __Pyx_IgnoreException(PyExc_Exception)) {
      ret = 0;  // But BaseException is still propagated.
  }
  Py_XDECREF(name_attr);
  return ret;
}
static PyObject *__Pyx_setup_reduce_get_reduce_attribute(PyObject *type_obj, PyObject *name, int allow_not_present) {
#if CYTHON_USE_PYTYPE_LOOKUP
    CYTHON_UNUSED_VAR(allow_not_present);
    return _PyType_Lookup((PyTypeObject*)type_obj, name);
#else
    if (allow_not_present) {
        return __Pyx_PyObject_GetAttrStrNoError(type_obj, name);
    } else {
        return __Pyx_PyObject_GetAttrStr(type_obj, name);
    }
#endif
}
static int __Pyx_setup_reduce(PyObject* type_obj) {
    int ret = 0;
    PyObject *object_reduce = NULL;
    PyObject *object_getstate = NULL;
    PyObject *object_reduce_ex = NULL;
    PyObject *reduce = NULL;
    PyObject *reduce_ex = NULL;
    PyObject *reduce_cython = NULL;
    PyObject *setstate = NULL;
    PyObject *setstate_cython = NULL;
    PyObject *getstate = NULL;
    getstate = __Pyx_setup_reduce_get_reduce_attribute(type_obj, __pyx_mstate_global->__pyx_n_u_getstate, 1);
    if (!getstate && PyErr_Occurred()) {
        goto __PYX_BAD;
    }
    if (getstate) {
        object_getstate = __Pyx_setup_reduce_get_reduce_attribute((PyObject*)&PyBaseObject_Type, __pyx_mstate_global->__pyx_n_u_getstate, 1);
        if (!object_getstate && PyErr_Occurred()) {
            goto __PYX_BAD;
        }
        if (object_getstate != getstate) {
            goto __PYX_GOOD;
        }
    }
    object_reduce_ex = __Pyx_setup_reduce_get_reduce_attribute((PyObject*)&PyBaseObject_Type, __pyx_mstate_global->__pyx_n_u_reduce_ex, 0);
    if (unlikely(!object_reduce_ex)) goto __PYX_BAD;
    reduce_ex = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_mstate_global->__pyx_n_u_reduce_ex); if (unlikely(!reduce_ex)) goto __PYX_BAD;
    if (reduce_ex == object_reduce_ex) {
        object_reduce = __Pyx_setup_reduce_get_reduce_attribute((PyObject*)&PyBaseObject_Type, __pyx_mstate_global->__pyx_n_u_reduce, 0);
        if (!object_reduce) goto __PYX_BAD;
        reduce = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_mstate_global->__pyx_n_u_reduce); if (unlikely(!reduce)) goto __PYX_BAD;
        int try_to_replace_reduce = (reduce == object_reduce);
        if (!try_to_replace_reduce) {
            try_to_replace_reduce = __Pyx_setup_reduce_is_named(reduce, __pyx_mstate_global->__pyx_n_u_reduce_cython);
            if (unlikely(try_to_replace_reduce < 0)) {
                goto __PYX_BAD;
            }
        }
        if (try_to_replace_reduce) {
            reduce_cython = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_mstate_global->__pyx_n_u_reduce_cython);
            if (likely(reduce_cython)) {
                ret = __Pyx_SetItemOnTypeDict((PyTypeObject*)type_obj, __pyx_mstate_global->__pyx_n_u_reduce, reduce_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
                ret = __Pyx_DelItemOnTypeDict((PyTypeObject*)type_obj, __pyx_mstate_global->__pyx_n_u_reduce_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
            } else if (reduce == object_reduce || PyErr_Occurred()) {
                goto __PYX_BAD;
            }
            setstate = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_mstate_global->__pyx_n_u_setstate);
            int try_to_replace_setstate;
            if (!setstate) {
                PyObject *exc = PyErr_Occurred();
                if (exc && !__Pyx_IgnoreGivenException(exc, PyExc_Exception)) {
                    goto __PYX_BAD;
                }
                try_to_replace_setstate = 1;
            } else {
                try_to_replace_setstate = __Pyx_setup_reduce_is_named(setstate, __pyx_mstate_global->__pyx_n_u_setstate_cython);
                if (unlikely(try_to_replace_setstate < 0)) {
                    goto __PYX_BAD;
                }
            }
            if (try_to_replace_setstate) {
                setstate_cython = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_mstate_global->__pyx_n_u_setstate_cython);
                if (likely(setstate_cython)) {
                    ret = __Pyx_SetItemOnTypeDict((PyTypeObject*)type_obj, __pyx_mstate_global->__pyx_n_u_setstate, setstate_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
                    ret = __Pyx_DelItemOnTypeDict((PyTypeObject*)type_obj, __pyx_mstate_global->__pyx_n_u_setstate_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
                } else if (!setstate || PyErr_Occurred()) {
                    goto __PYX_BAD;
                }
            }
            PyType_Modified((PyTypeObject*)type_obj);
        }
    }
    goto __PYX_GOOD;
__PYX_BAD:
    if (!PyErr_Occurred()) {
        __Pyx_RaiseErrorWithType(
            PyExc_RuntimeError,
            "Unable to initialize pickling for " __Pyx_FMT_TYPENAME,
            (PyTypeObject*)type_obj);
    }
    ret = -1;
__PYX_GOOD:
#if !CYTHON_USE_PYTYPE_LOOKUP
    Py_XDECREF(object_reduce);
    Py_XDECREF(object_reduce_ex);
    Py_XDECREF(object_getstate);
    Py_XDECREF(getstate);
#endif
    Py_XDECREF(reduce);
    Py_XDECREF(reduce_ex);
    Py_XDECREF(reduce_cython);
    Py_XDECREF(setstate);
    Py_XDECREF(setstate_cython);
    return ret;
}
 
/* ApplySequenceOrMappingFlag */
#if CYTHON_COMPILING_IN_LIMITED_API || (CYTHON_COMPILING_IN_PYPY && CYTHON_USE_TYPE_SPECS)
int __Pyx_ApplySequenceOrMappingFlag(PyTypeObject *tp, int is_sequence) {
    PyObject *abc;
    PyObject *collections_abc = PyImport_ImportModule("collections.abc");
    if (unlikely(!collections_abc)) return -1;
    abc = PyObject_GetAttrString(collections_abc, is_sequence ? "Sequence": "Mapping");
    Py_DECREF(collections_abc);
    if (unlikely(!abc)) return -1;
    PyObject *register_result = PyObject_CallMethod(abc, "register", "O", (PyObject*)tp);
    Py_DECREF(abc);
    if (unlikely(!register_result)) return -1;
    Py_DECREF(register_result);
    return 0;
}
#elif CYTHON_COMPILING_IN_PYPY // && !CYTHON_USE_TYPE_SPECS
int __Pyx_ApplySequenceOrMappingFlag(PyTypeObject *tp, int is_sequence) {
    CYTHON_UNUSED_VAR(tp);
    CYTHON_UNUSED_VAR(is_sequence);
    return PyErr_WarnEx(
        PyExc_RuntimeWarning,
        "cython.collection_type only works on PyPy with the C flag CYTHON_USE_TYPE_SPECS=1",
        1
    );
}
#endif
 
/* GetVTable (used by MergeVTables) */
static int __Pyx_GetVtable(PyTypeObject *type, void** table) {
    void* ptr;
    *table = NULL;
#if CYTHON_COMPILING_IN_LIMITED_API
    PyObject *ob = PyObject_GetAttr((PyObject *)type, __pyx_mstate_global->__pyx_n_u_pyx_vtable);
#else
    PyObject *ob = PyObject_GetItem(type->tp_dict, __pyx_mstate_global->__pyx_n_u_pyx_vtable);
#endif
    if (!ob)
        goto no_attr;
    ptr = PyCapsule_GetPointer(ob, 0);
    if (!ptr && !PyErr_Occurred())
        PyErr_SetString(PyExc_RuntimeError, "invalid vtable found for imported type");
    Py_DECREF(ob);
    *table = ptr;
    return 1;
no_attr:
    if (PyErr_ExceptionMatches(CYTHON_COMPILING_IN_LIMITED_API ? PyExc_AttributeError : PyExc_KeyError)) {
        return 0;
    }
    Py_XDECREF(ob);
    return -1;
}
 
/* MergeVTables (used by SetVTable) */
static int __Pyx_MergeVtables(PyTypeObject *type) {
    int i=0;
    Py_ssize_t size;
    void** base_vtables;
    void* unknown = (void*)-1;
    PyObject* bases = __Pyx_PyType_GetSlot(type, tp_bases, PyObject*);
    int base_depth = 0;
    {
        PyTypeObject* base = __Pyx_PyType_GetSlot(type, tp_base, PyTypeObject*);
        while (base) {
            base_depth += 1;
            base = __Pyx_PyType_TryGetSlot(base, tp_base, PyTypeObject*);
        }
    }
    base_vtables = (void**) PyMem_Malloc(sizeof(void*) * (size_t)(base_depth + 1));
    if (unlikely(!base_vtables)) {
        PyErr_NoMemory();
        return -1;
    }
    base_vtables[0] = unknown;
#if CYTHON_COMPILING_IN_LIMITED_API
    size = PyTuple_Size(bases);
    if (size < 0) goto other_failure;
#else
    size = PyTuple_GET_SIZE(bases);
#endif
    for (i = 1; i < size; i++) {
        PyObject *basei;
        void* base_vtable;
#if CYTHON_AVOID_BORROWED_REFS
        basei = PySequence_GetItem(bases, i);
        if (unlikely(!basei)) goto other_failure;
#elif !CYTHON_ASSUME_SAFE_MACROS
        basei = PyTuple_GetItem(bases, i);
        if (unlikely(!basei)) goto other_failure;
#else
        basei = PyTuple_GET_ITEM(bases, i);
#endif
        int get_vtable_result = __Pyx_GetVtable((PyTypeObject*)basei, &base_vtable);
#if CYTHON_AVOID_BORROWED_REFS
        Py_DECREF(basei);
#endif
        if (get_vtable_result != 1) {
            if (get_vtable_result == -1) {
                goto other_failure;
            }
            PyErr_Clear(); // Class doesn't have a vtable.
        } else {
            assert(base_vtable != NULL);
            int j;
            PyTypeObject* base = __Pyx_PyType_TryGetSlot(type, tp_base, PyTypeObject*);
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
            if (!base) goto bad;
#endif
            for (j = 0; j < base_depth; j++) {
                if (base_vtables[j] == unknown) {
                    switch (__Pyx_GetVtable(base, &base_vtables[j])) {
                        case 1:
                            assert(base_vtables[j] == NULL);
                            break;
                        case 0:
                            goto bad;
                        case -1:
                        default:
                            goto other_failure;
                    }
                    base_vtables[j + 1] = unknown;
                }
                if (base_vtables[j] == base_vtable) {
                    break;
                }
                base = __Pyx_PyType_TryGetSlot(base, tp_base, PyTypeObject*);
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
                if (!base) goto bad;
#endif
            }
        }
    }
    PyMem_Free(base_vtables);
    return 0;
bad:
    {
        PyTypeObject* tp_base = __Pyx_PyType_GetSlot(type, tp_base, PyTypeObject*);
        PyTypeObject* basei;
#if CYTHON_AVOID_BORROWED_REFS
        basei = (PyTypeObject*)PySequence_GetItem(bases, i);
        if (unlikely(!basei)) goto other_failure;
#elif !CYTHON_ASSUME_SAFE_MACROS
        basei = (PyTypeObject*)PyTuple_GetItem(bases, i);
        if (unlikely(!basei)) goto other_failure;
#else
        basei = (PyTypeObject*)PyTuple_GET_ITEM(bases, i);
#endif
    __Pyx_RaiseTypeErrorWithTypes(
        "multiple bases have vtable conflict: '" __Pyx_FMT_TYPENAME "' and '" __Pyx_FMT_TYPENAME "'", tp_base, basei);
#if CYTHON_AVOID_BORROWED_REFS
        Py_DECREF(basei);
#endif
    }
other_failure:
    PyMem_Free(base_vtables);
    return -1;
}
 
/* SetVTable */
static int __Pyx_SetVtable(PyTypeObject *type, void *vtable) {
    PyObject *ob = PyCapsule_New(vtable, 0, 0);
    if (unlikely(!ob))
        goto bad;
#if CYTHON_COMPILING_IN_LIMITED_API
    if (unlikely(PyObject_SetAttr((PyObject *) type, __pyx_mstate_global->__pyx_n_u_pyx_vtable, ob) < 0))
#else
    if (unlikely(PyDict_SetItem(type->tp_dict, __pyx_mstate_global->__pyx_n_u_pyx_vtable, ob) < 0))
#endif
        goto bad;
    Py_DECREF(ob);
    return __Pyx_MergeVtables(type);
bad:
    Py_XDECREF(ob);
    return -1;
}
 
/* 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
 
/* 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);
}
 
/* 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;
}
 
/* 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;\
    }
 
/* MemviewDtypeToObject */
static CYTHON_INLINE PyObject *__pyx_memview_get_double(const char *itemp) {
    return (PyObject *) PyFloat_FromDouble(*(double const *) itemp);
}
static CYTHON_INLINE int __pyx_memview_set_double(char *itemp, PyObject *obj) {
    double value = __Pyx_PyFloat_AsDouble(obj);
    if (unlikely((value == (double)-1) && PyErr_Occurred()))
        return 0;
    *(double *) itemp = value;
    return 1;
}
 
/* 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
 
/* MemviewRefcount */
#include <stdio.h>
#ifndef _Py_NO_RETURN
#define _Py_NO_RETURN
#endif
_Py_NO_RETURN
static void __pyx_fatalerror(const char *fmt, ...) {
    va_list vargs;
    char msg[200];
#if PY_VERSION_HEX >= 0x030A0000 || defined(HAVE_STDARG_PROTOTYPES)
    va_start(vargs, fmt);
#else
    va_start(vargs);
#endif
    vsnprintf(msg, 200, fmt, vargs);
    va_end(vargs);
    Py_FatalError(msg);
}
static CYTHON_INLINE int
__pyx_add_acquisition_count_locked(__pyx_atomic_int_type *acquisition_count,
                                   PyThread_type_lock lock)
{
    int result;
    PyThread_acquire_lock(lock, 1);
    result = (*acquisition_count)++;
    PyThread_release_lock(lock);
    return result;
}
static CYTHON_INLINE int
__pyx_sub_acquisition_count_locked(__pyx_atomic_int_type *acquisition_count,
                                   PyThread_type_lock lock)
{
    int result;
    PyThread_acquire_lock(lock, 1);
    result = (*acquisition_count)--;
    PyThread_release_lock(lock);
    return result;
}
static CYTHON_INLINE void
__Pyx_INC_MEMVIEW(__Pyx_memviewslice *memslice, int have_gil, int lineno)
{
    __pyx_nonatomic_int_type old_acquisition_count;
    struct __pyx_memoryview_obj *memview = memslice->memview;
    if (unlikely(!memview || (PyObject *) memview == Py_None)) {
        return;
    }
    old_acquisition_count = __pyx_add_acquisition_count(memview);
    if (unlikely(old_acquisition_count <= 0)) {
        if (likely(old_acquisition_count == 0)) {
            if (have_gil) {
                Py_INCREF((PyObject *) memview);
            } else {
                PyGILState_STATE _gilstate = PyGILState_Ensure();
                Py_INCREF((PyObject *) memview);
                PyGILState_Release(_gilstate);
            }
        } else {
            __pyx_fatalerror("Acquisition count is %d (line %d)",
                             old_acquisition_count+1, lineno);
        }
    }
}
static CYTHON_INLINE void __Pyx_XCLEAR_MEMVIEW(__Pyx_memviewslice *memslice,
                                             int have_gil, int lineno) {
    __pyx_nonatomic_int_type old_acquisition_count;
    struct __pyx_memoryview_obj *memview = memslice->memview;
    if (unlikely(!memview || (PyObject *) memview == Py_None)) {
        memslice->memview = NULL;
        return;
    }
    old_acquisition_count = __pyx_sub_acquisition_count(memview);
    memslice->data = NULL;
    if (likely(old_acquisition_count > 1)) {
        memslice->memview = NULL;
    } else if (likely(old_acquisition_count == 1)) {
        if (have_gil) {
            Py_CLEAR(memslice->memview);
        } else {
            PyGILState_STATE _gilstate = PyGILState_Ensure();
            Py_CLEAR(memslice->memview);
            PyGILState_Release(_gilstate);
        }
    } else {
        __pyx_fatalerror("Acquisition count is %d (line %d)",
                         old_acquisition_count-1, lineno);
    }
}
 
/* MemviewSliceIsContig */
static int
__pyx_memviewslice_is_contig(const __Pyx_memviewslice mvs, char order, int ndim)
{
    int i, index, step, start;
    Py_ssize_t itemsize = mvs.memview->view.itemsize;
    if (order == 'F') {
        step = 1;
        start = 0;
    } else {
        step = -1;
        start = ndim - 1;
    }
    for (i = 0; i < ndim; i++) {
        index = start + step * i;
        if (mvs.suboffsets[index] >= 0 || mvs.strides[index] != itemsize)
            return 0;
        itemsize *= mvs.shape[index];
    }
    return 1;
}
 
/* OverlappingSlices */
static void
__pyx_get_array_memory_extents(__Pyx_memviewslice *slice,
                               void **out_start, void **out_end,
                               int ndim, size_t itemsize)
{
    char *start, *end;
    int i;
    start = end = slice->data;
    for (i = 0; i < ndim; i++) {
        Py_ssize_t stride = slice->strides[i];
        Py_ssize_t extent = slice->shape[i];
        if (extent == 0) {
            *out_start = *out_end = start;
            return;
        } else {
            if (stride > 0)
                end += stride * (extent - 1);
            else
                start += stride * (extent - 1);
        }
    }
    *out_start = start;
    *out_end = end + itemsize;
}
static int
__pyx_slices_overlap(__Pyx_memviewslice *slice1,
                     __Pyx_memviewslice *slice2,
                     int ndim, size_t itemsize)
{
    void *start1, *end1, *start2, *end2;
    __pyx_get_array_memory_extents(slice1, &start1, &end1, ndim, itemsize);
    __pyx_get_array_memory_extents(slice2, &start2, &end2, ndim, itemsize);
    return (start1 < end2) && (start2 < end1);
}
 
/* MemviewSliceInit */
static int
__Pyx_init_memviewslice(struct __pyx_memoryview_obj *memview,
                        int ndim,
                        __Pyx_memviewslice *memviewslice,
                        int memview_is_new_reference)
{
    __Pyx_RefNannyDeclarations
    int i, retval=-1;
    Py_buffer *buf = &memview->view;
    __Pyx_RefNannySetupContext("init_memviewslice", 0);
    if (unlikely(memviewslice->memview || memviewslice->data)) {
        PyErr_SetString(PyExc_ValueError,
            "memviewslice is already initialized!");
        goto fail;
    }
    if (buf->strides) {
        for (i = 0; i < ndim; i++) {
            memviewslice->strides[i] = buf->strides[i];
        }
    } else {
        Py_ssize_t stride = buf->itemsize;
        for (i = ndim - 1; i >= 0; i--) {
            memviewslice->strides[i] = stride;
            stride *= buf->shape[i];
        }
    }
    for (i = 0; i < ndim; i++) {
        memviewslice->shape[i]   = buf->shape[i];
        if (buf->suboffsets) {
            memviewslice->suboffsets[i] = buf->suboffsets[i];
        } else {
            memviewslice->suboffsets[i] = -1;
        }
    }
    memviewslice->memview = memview;
    memviewslice->data = (char *)buf->buf;
    if (__pyx_add_acquisition_count(memview) == 0 && !memview_is_new_reference) {
        Py_INCREF((PyObject*)memview);
    }
    retval = 0;
    goto no_fail;
fail:
    memviewslice->memview = 0;
    memviewslice->data = 0;
    retval = -1;
no_fail:
    __Pyx_RefNannyFinishContext();
    return retval;
}
 
/* SliceMemoryviewSlice */
static void __pyx_memoryview_slice_memviewslice_err_dim(PyObject *error, const char* msg, int dim) {
    PyGILState_STATE gilstate = PyGILState_Ensure();
    PyErr_Format(error, msg, dim);
    PyGILState_Release(gilstate);
}
static CYTHON_INLINE int __pyx_memoryview_slice_memviewslice(
        __Pyx_memviewslice *dst,
        Py_ssize_t shape, Py_ssize_t stride, Py_ssize_t suboffset,
        int dim, int new_ndim, int *suboffset_dim,
        Py_ssize_t start, Py_ssize_t stop, Py_ssize_t step,
        int have_start, int have_stop, int have_step,
        int is_slice) {
    if (!is_slice) {
        if (start < 0) {
            start += shape;
        }
        if (unlikely(!(0 <= start && start < shape))) {
            __pyx_memoryview_slice_memviewslice_err_dim(PyExc_IndexError, "Index out of bounds (axis %d)", dim);
            return -1;
        }
    } else {
        int negative_step;
        if (have_step) {
            negative_step = step < 0;
            if (unlikely(step == 0)) {
                __pyx_memoryview_slice_memviewslice_err_dim(PyExc_ValueError, "Step may not be zero (axis %d)", dim);
                return -1;
            }
        } else {
            negative_step = 0;
            step = 1;
        }
        if (have_start) {
            if (start < 0) {
                start += shape;
                if (start < 0) {
                    start = 0;
                }
            } else if (start >= shape) {
                start = negative_step ? (shape - 1) : shape;
            }
        } else {
            start = negative_step ? (shape - 1) : 0;
        }
        if (have_stop) {
            if (stop < 0) {
                stop += shape;
                if (stop < 0) {
                    stop = 0;
                }
            } else if (stop > shape) {
                stop = shape;
            }
        } else {
            stop = negative_step ? -1 : shape;
        }
        Py_ssize_t new_shape = (stop - start) / step;
        if ((stop - start) - step * new_shape) {
            ++new_shape;
        }
        if (new_shape < 0) {
            new_shape = 0;
        }
        dst->strides[new_ndim] = stride * step;
        dst->shape[new_ndim] = new_shape;
        dst->suboffsets[new_ndim] = suboffset;
    }
    if (suboffset_dim[0] < 0) {
        dst->data += start * stride;
    } else {
        dst->suboffsets[suboffset_dim[0]] += start * stride;
    }
    if (suboffset >= 0) {
        if (!is_slice) {
            if (likely(new_ndim == 0)) {
                dst->data = ((char **)(dst->data))[0] + suboffset;
            } else {
                __pyx_memoryview_slice_memviewslice_err_dim(
                    PyExc_IndexError,
                    "All dimensions preceding dimension %d must be indexed and not sliced",
                    dim);
                return -1;
            }
        } else {
            suboffset_dim[0] = new_ndim;
        }
    }
    return 0;
}
 
/* 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);
    }
}
 
/* 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_int(int value) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const int neg_one = (int) -1, const_zero = (int) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(int) < sizeof(long)) {
            return PyLong_FromLong((long) value);
        } else if (sizeof(int) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#if !CYTHON_COMPILING_IN_PYPY
        } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(int) <= sizeof(long)) {
            return PyLong_FromLong((long) value);
        } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
        }
    }
    {
        unsigned char *bytes = (unsigned char *)&value;
#if !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x030d00A4
        if (is_unsigned) {
            return PyLong_FromUnsignedNativeBytes(bytes, sizeof(value), -1);
        } else {
            return PyLong_FromNativeBytes(bytes, sizeof(value), -1);
        }
#elif !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030d0000
        int one = 1; int little = (int)*(unsigned char *)&one;
        return _PyLong_FromByteArray(bytes, sizeof(int),
                                     little, !is_unsigned);
#else
        int one = 1; int little = (int)*(unsigned char *)&one;
        PyObject *result = NULL, *kwds = NULL;
        PyObject *py_bytes = NULL, *order_str = NULL, *from_bytes_str = NULL;;
        py_bytes = PyBytes_FromStringAndSize((char*)bytes, sizeof(int));
        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
    }
}
 
/* 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
    }
}
 
/* TypeInfoToFormat */
static struct __pyx_typeinfo_string __Pyx_TypeInfoToFormat(const __Pyx_TypeInfo *type) {
    struct __pyx_typeinfo_string result = { {0} };
    char *buf = (char *) result.string;
    size_t size = type->size;
    switch (type->typegroup) {
        case 'H':
            *buf = 'c';
            break;
        case 'I':
        case 'U':
            if (size == 1)
                *buf = (type->is_unsigned) ? 'B' : 'b';
            else if (size == 2)
                *buf = (type->is_unsigned) ? 'H' : 'h';
            else if (size == 4)
                *buf = (type->is_unsigned) ? 'I' : 'i';
            else if (size == 8)
                *buf = (type->is_unsigned) ? 'Q' : 'q';
            break;
        case 'P':
            *buf = 'P';
            break;
        case 'C':
         {
            __Pyx_TypeInfo complex_type = *type;
            complex_type.typegroup = 'R';
            complex_type.size /= 2;
            *buf++ = 'Z';
            *buf = __Pyx_TypeInfoToFormat(&complex_type).string[0];
            break;
         }
        case 'R':
            if (size == 4)
                *buf = 'f';
            else if (size == 8)
                *buf = 'd';
            else
                *buf = 'g';
            break;
    }
    return result;
}
 
/* MemviewSliceCopy */
static __Pyx_memviewslice
__pyx_memoryview_copy_new_contig(const __Pyx_memviewslice *from_mvs,
                                 const char *mode, int ndim,
                                 Py_ssize_t sizeof_dtype, int contig_flag,
                                 int dtype_is_object)
{
    __Pyx_RefNannyDeclarations
    int i;
    __Pyx_memviewslice new_mvs = __Pyx_MEMSLICE_INIT;
    struct __pyx_memoryview_obj *from_memview = from_mvs->memview;
    Py_buffer *buf = &from_memview->view;
    PyObject *shape_tuple = NULL;
    struct __pyx_array_obj *array_obj = NULL;
    struct __pyx_memoryview_obj *memview_obj = NULL;
    __Pyx_RefNannySetupContext("__pyx_memoryview_copy_new_contig", 0);
    for (i = 0; i < ndim; i++) {
        if (unlikely(from_mvs->suboffsets[i] >= 0)) {
            PyErr_Format(PyExc_ValueError, "Cannot copy memoryview slice with "
                                           "indirect dimensions (axis %d)", i);
            goto fail;
        }
    }
    shape_tuple = PyTuple_New(ndim);
    if (unlikely(!shape_tuple)) {
        goto fail;
    }
    __Pyx_GOTREF(shape_tuple);
    for(i = 0; i < ndim; i++) {
        PyObject *temp_int = PyLong_FromSsize_t(from_mvs->shape[i]);
        if(unlikely(!temp_int)) {
            goto fail;
        } else {
#if CYTHON_ASSUME_SAFE_MACROS
            PyTuple_SET_ITEM(shape_tuple, i, temp_int);
#else
            if (PyTuple_SetItem(shape_tuple, i, temp_int) < 0) {
                goto fail;
            }
#endif
        }
    }
    array_obj = __pyx_array_new(shape_tuple, sizeof_dtype, buf->format, mode, NULL);
    if (unlikely(!array_obj)) {
        goto fail;
    }
    __Pyx_GOTREF(array_obj);
    memview_obj = (struct __pyx_memoryview_obj *) __pyx_memoryview_new(
                                    (PyObject *) array_obj, contig_flag,
                                    dtype_is_object,
                                    from_mvs->memview->typeinfo);
    if (unlikely(!memview_obj))
        goto fail;
    if (unlikely(__Pyx_init_memviewslice(memview_obj, ndim, &new_mvs, 1) < 0))
        goto fail;
    if (unlikely(__pyx_memoryview_copy_contents(*from_mvs, new_mvs, ndim, ndim,
                                                dtype_is_object) < 0))
        goto fail;
    goto no_fail;
fail:
    __Pyx_XDECREF((PyObject *) new_mvs.memview);
    new_mvs.memview = NULL;
    new_mvs.data = NULL;
no_fail:
    __Pyx_XDECREF(shape_tuple);
    __Pyx_XDECREF((PyObject *) array_obj);
    __Pyx_RefNannyFinishContext();
    return new_mvs;
}
 
/* UpdateUnpickledDict */
static int __Pyx__UpdateUnpickledDict(PyObject *obj, PyObject *state, Py_ssize_t index) {
    PyObject *state_dict = __Pyx_PySequence_ITEM(state, index);
    if (unlikely(!state_dict)) {
        return -1;
    }
    int non_empty = PyObject_IsTrue(state_dict);
    if (non_empty == 0) {
        Py_DECREF(state_dict);
        return 0;
    } else if (unlikely(non_empty == -1)) {
        return -1;
    }
    PyObject *dict;
    #if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
    dict = PyObject_GetAttrString(obj, "__dict__");
    #else
    dict = PyObject_GenericGetDict(obj, NULL);
    #endif
    if (unlikely(!dict)) {
        Py_DECREF(state_dict);
        return -1;
    }
    int result;
    if (likely(PyDict_CheckExact(dict))) {
        result = PyDict_Update(dict, state_dict);
    } else {
        PyObject *obj_result = __Pyx_PyObject_CallMethod1(dict, __pyx_mstate_global->__pyx_n_u_update, state_dict);
        if (likely(obj_result)) {
            Py_DECREF(obj_result);
            result = 0;
        } else {
            result = -1;
        }
    }
    Py_DECREF(state_dict);
    Py_DECREF(dict);
    return result;
}
static int __Pyx_UpdateUnpickledDict(PyObject *obj, PyObject *state, Py_ssize_t index) {
    Py_ssize_t state_size = __Pyx_PyTuple_GET_SIZE(state);
    #if !CYTHON_ASSUME_SAFE_SIZE
    if (unlikely(state_size == -1)) return -1;
    #endif
    if (state_size <= index) {
        return 0;
    }
    return __Pyx__UpdateUnpickledDict(obj, state, index);
}
 
/* CheckUnpickleChecksumError (used by CheckUnpickleChecksum) */
static void __Pyx_RaiseUnpickleChecksumError(long checksum, long checksum1, long checksum2, long checksum3, const char *members) {
    PyObject *pickle_module = PyImport_ImportModule("pickle");
    if (unlikely(!pickle_module)) return;
    PyObject *pickle_error = PyObject_GetAttrString(pickle_module, "PickleError");
    Py_DECREF(pickle_module);
    if (unlikely(!pickle_error)) return;
    if (checksum2 == checksum1) {
        PyErr_Format(pickle_error, "Incompatible checksums (0x%x vs (0x%x) = (%s))",
            checksum, checksum1, members);
    } else if (checksum3 == checksum2) {
        PyErr_Format(pickle_error, "Incompatible checksums (0x%x vs (0x%x, 0x%x) = (%s))",
            checksum, checksum1, checksum2, members);
    } else {
        PyErr_Format(pickle_error, "Incompatible checksums (0x%x vs (0x%x, 0x%x, 0x%x) = (%s))",
            checksum, checksum1, checksum2, checksum3, members);
    }
    Py_DECREF(pickle_error);
}
 
/* CheckUnpickleChecksum */
static int __Pyx_CheckUnpickleChecksum(long checksum, long checksum1, long checksum2, long checksum3, const char *members) {
    int found = 0;
    found |= checksum1 == checksum;
    found |= checksum2 == checksum;
    found |= checksum3 == checksum;
    if (likely(found))
        return 0;
    __Pyx_RaiseUnpickleChecksumError(checksum, checksum1, checksum2, checksum3, members);
    return -1;
}
 
/* 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 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);
    }
}
 
/* 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 */