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#ifndef CYTHON_RESTRICT

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#   if !(defined(__cplusplus)) || (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 4))

#     define CYTHON_UNUSED __attribute__ ((__unused__))

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#     define CYTHON_UNUSED

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# elif defined(__ICC) || (defined(__INTEL_COMPILER) && !defined(_MSC_VER))

#   define CYTHON_UNUSED __attribute__ ((__unused__))

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#    define CYTHON_UNUSED_VAR(x) (void)(x)

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#ifndef CYTHON_MAYBE_UNUSED_VAR

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# if CYTHON_COMPILING_IN_CPYTHON && !CYTHON_COMPILING_IN_CPYTHON_FREETHREADING

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#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

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  #define __Pyx_UNREACHABLE() Py_UNREACHABLE()

#elif __Pyx_has_cbuiltin(__builtin_unreachable)

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#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_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

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    #ifndef CO_NEWLOCALS

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    #ifndef CO_COROUTINE

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static int __Pyx_init_co_variables(void);

#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_Is)

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  #define __Pyx_Py_Is(x, y) ((x) == (y))

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#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_IsTrue)

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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)

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  #define __Pyx_Py_IsFalse(ob) __Pyx_Py_Is((ob), Py_False)

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#define __Pyx_NoneAsNull(obj)  (__Pyx_Py_IsNone(obj) ? NULL : (obj))

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  #define __Pyx_PyObject_GC_IsFinalized(o) _PyGC_FINALIZED(o)

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  #define __Pyx_PyObject_GC_IsFinalized(o) PyObject_GC_IsFinalized(o)

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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

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#ifndef Py_TPFLAGS_SEQUENCE

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#ifndef Py_TPFLAGS_MAPPING

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#ifndef Py_TPFLAGS_IMMUTABLETYPE

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#endif

#ifndef Py_TPFLAGS_DISALLOW_INSTANTIATION

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#if !defined(METH_FASTCALL) || CYTHON_COMPILING_IN_PYPY

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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))

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#define __Pyx_PyCFunction_CheckExact(func) PyCFunction_CheckExact(func)

#define __Pyx_CyOrPyCFunction_Check(func)  PyCFunction_Check(func)

#if CYTHON_COMPILING_IN_CPYTHON

#define __Pyx_CyOrPyCFunction_GET_FUNCTION(func)  (((PyCFunctionObject*)(func))->m_ml->ml_meth)

#elif !CYTHON_COMPILING_IN_LIMITED_API

#define __Pyx_CyOrPyCFunction_GET_FUNCTION(func)  PyCFunction_GET_FUNCTION(func)

#endif

#if CYTHON_COMPILING_IN_CPYTHON

#define __Pyx_CyOrPyCFunction_GET_FLAGS(func)  (((PyCFunctionObject*)(func))->m_ml->ml_flags)

static CYTHON_INLINE PyObject* __Pyx_CyOrPyCFunction_GET_SELF(PyObject *func) {

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}

#endif

static CYTHON_INLINE int __Pyx__IsSameCFunction(PyObject *func, void (*cfunc)(void)) {

#if CYTHON_COMPILING_IN_LIMITED_API

    return PyCFunction_Check(func) && PyCFunction_GetFunction(func) == (PyCFunction) cfunc;

#else

    return PyCFunction_Check(func) && PyCFunction_GET_FUNCTION(func) == (PyCFunction) cfunc;

#endif

}

#define __Pyx_IsSameCFunction(func, cfunc)   __Pyx__IsSameCFunction(func, cfunc)

#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000

  #define __Pyx_PyType_FromModuleAndSpec(m, s, b)  ((void)m, PyType_FromSpecWithBases(s, b))

#else

  #define __Pyx_PyType_FromModuleAndSpec(m, s, b)  PyType_FromModuleAndSpec(m, s, b)

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#if CYTHON_COMPILING_IN_PYPY

  typedef PyObject *(*__Pyx_PyCMethod)(PyObject *, PyTypeObject *, PyObject *const *, size_t, PyObject *);

#else

  #define __Pyx_PyCMethod  PyCMethod

#endif

#ifndef METH_METHOD

  #define METH_METHOD 0x200

#endif

#if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Malloc)

  #define PyObject_Malloc(s)   PyMem_Malloc(s)

  #define PyObject_Free(p)     PyMem_Free(p)

  #define PyObject_Realloc(p)  PyMem_Realloc(p)

#endif

#if CYTHON_COMPILING_IN_LIMITED_API

  #define __Pyx_PyFrame_SetLineNumber(frame, lineno)

#elif CYTHON_COMPILING_IN_GRAAL && defined(GRAALPY_VERSION_NUM) && GRAALPY_VERSION_NUM > 0x19000000

  #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)

  #define __Pyx_PyFrame_SetLineNumber(frame, lineno) GraalPyFrame_SetLineNumber((frame), (lineno))

#elif CYTHON_COMPILING_IN_GRAAL

  #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)

  #define __Pyx_PyFrame_SetLineNumber(frame, lineno) _PyFrame_SetLineNumber((frame), (lineno))

#else

  #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)

  #define __Pyx_PyFrame_SetLineNumber(frame, lineno)  (frame)->f_lineno = (lineno)

#endif

#if CYTHON_COMPILING_IN_LIMITED_API

  #define __Pyx_PyThreadState_Current PyThreadState_Get()

#elif !CYTHON_FAST_THREAD_STATE

  #define __Pyx_PyThreadState_Current PyThreadState_GET()

#elif PY_VERSION_HEX >= 0x030d00A1

  #define __Pyx_PyThreadState_Current PyThreadState_GetUnchecked()

#else

  #define __Pyx_PyThreadState_Current _PyThreadState_UncheckedGet()

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#if CYTHON_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

#endif

#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;

    }

    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);

  }

#endif

#if CYTHON_COMPILING_IN_PYPY

  #define __Pyx_PyUnicode_Concat(a, b)      PyNumber_Add(a, b)

  #define __Pyx_PyUnicode_ConcatSafe(a, b)  PyNumber_Add(a, b)

#else

  #define __Pyx_PyUnicode_Concat(a, b)      PyUnicode_Concat(a, b)

  #define __Pyx_PyUnicode_ConcatSafe(a, b)  ((unlikely((a) == Py_None) || unlikely((b) == Py_None)) ?\

      PyNumber_Add(a, b) : __Pyx_PyUnicode_Concat(a, b))

#endif

#if CYTHON_COMPILING_IN_PYPY

  #if !defined(PyUnicode_DecodeUnicodeEscape)

    #define PyUnicode_DecodeUnicodeEscape(s, size, errors)  PyUnicode_Decode(s, size, "unicode_escape", errors)

  #endif

  #if !defined(PyUnicode_Contains)

    #define PyUnicode_Contains(u, s)  PySequence_Contains(u, s)

  #endif

  #if !defined(PyByteArray_Check)

    #define PyByteArray_Check(obj)  PyObject_TypeCheck(obj, &PyByteArray_Type)

  #endif

  #if !defined(PyObject_Format)

    #define PyObject_Format(obj, fmt)  PyObject_CallMethod(obj, "__format__", "O", fmt)

  #endif

#endif

#define __Pyx_PyUnicode_FormatSafe(a, b)  ((unlikely((a) == Py_None || (PyUnicode_Check(b) && !PyUnicode_CheckExact(b)))) ? PyNumber_Remainder(a, b) : PyUnicode_Format(a, b))

#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000

  #define __Pyx_PySequence_ListKeepNew(obj)\

    (likely(PyList_CheckExact(obj) && PyUnstable_Object_IsUniquelyReferenced(obj)) ? __Pyx_NewRef(obj) : PySequence_List(obj))

#elif CYTHON_COMPILING_IN_CPYTHON

  #define __Pyx_PySequence_ListKeepNew(obj)\

    (likely(PyList_CheckExact(obj) && Py_REFCNT(obj) == 1) ? __Pyx_NewRef(obj) : PySequence_List(obj))

#else

  #define __Pyx_PySequence_ListKeepNew(obj)  PySequence_List(obj)

#endif

#ifndef PySet_CheckExact

  #define PySet_CheckExact(obj)        Py_IS_TYPE(obj, &PySet_Type)

#endif

enum __Pyx_ReferenceSharing {

  __Pyx_ReferenceSharing_DefinitelyUnique, // We created it so we know it's unshared - no need to check

  __Pyx_ReferenceSharing_OwnStrongReference,

  __Pyx_ReferenceSharing_FunctionArgument,

  __Pyx_ReferenceSharing_SharedReference, // Never trust it to be unshared because it's a global or similar

};

#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING && PY_VERSION_HEX >= 0x030E0000

#define __Pyx_IS_UNIQUELY_REFERENCED(o, sharing)\

    (sharing == __Pyx_ReferenceSharing_DefinitelyUnique ? 1 :\

      (sharing == __Pyx_ReferenceSharing_FunctionArgument ? PyUnstable_Object_IsUniqueReferencedTemporary(o) :\

      (sharing == __Pyx_ReferenceSharing_OwnStrongReference ? PyUnstable_Object_IsUniquelyReferenced(o) : 0)))

#elif (CYTHON_COMPILING_IN_CPYTHON && !CYTHON_COMPILING_IN_CPYTHON_FREETHREADING) || CYTHON_COMPILING_IN_LIMITED_API

#define __Pyx_IS_UNIQUELY_REFERENCED(o, sharing) (((void)sharing), Py_REFCNT(o) == 1)

#else

#define __Pyx_IS_UNIQUELY_REFERENCED(o, sharing) (((void)o), ((void)sharing), 0)

#endif

#if __PYX_LIMITED_VERSION_HEX >= 0x030d0000

  #define __Pyx_PyList_GetItemRef(o, i) PyList_GetItemRef(o, i)

#elif CYTHON_AVOID_BORROWED_REFS || CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS

  #if CYTHON_COMPILING_IN_LIMITED_API || !CYTHON_ASSUME_SAFE_MACROS

    #define __Pyx_PyList_GetItemRef(o, i) (likely((i) >= 0) ? PySequence_GetItem(o, i) : (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL))

  #else

    #define __Pyx_PyList_GetItemRef(o, i) PySequence_ITEM(o, i)

  #endif

#elif CYTHON_COMPILING_IN_LIMITED_API || !(CYTHON_ASSUME_SAFE_MACROS && CYTHON_ASSUME_SAFE_SIZE)

  #define __Pyx_PyList_GetItemRef(o, i) __Pyx_XNewRef(PyList_GetItem(o, i))

#else

  #define __Pyx_PyList_GetItemRef(o, i) (likely(__Pyx_is_valid_index(i, PyList_GET_SIZE(o))) ?\

    __Pyx_NewRef(PyList_GET_ITEM(o, i)) : (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL))

#endif

#if CYTHON_AVOID_BORROWED_REFS || CYTHON_COMPILING_IN_LIMITED_API

  #define __Pyx_PyList_GET_ITEM_REF(o, i, unsafe_shared)  ((void)(unsafe_shared),\

      __Pyx_PyList_GetItemRef(o, i))

#elif CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS

  #if CYTHON_ASSUME_SAFE_MACROS

  #define __Pyx_PyList_GET_ITEM_REF(o, i, unsafe_shared) (\

      __Pyx_IS_UNIQUELY_REFERENCED(o, unsafe_shared) ?\

      __Pyx_NewRef(PyList_GET_ITEM(o, i)) : __Pyx_PyList_GetItemRef(o, i))

  #else

  #define __Pyx_PyList_GET_ITEM_REF(o, i, unsafe_shared) (\

      __Pyx_IS_UNIQUELY_REFERENCED(o, unsafe_shared) ?\

      __Pyx_XNewRef(PyList_GetItem(o, i)) : __Pyx_PyList_GetItemRef(o, i))

  #endif

#elif CYTHON_ASSUME_SAFE_MACROS

  #define __Pyx_PyList_GET_ITEM_REF(o, i, unsafe_shared)  ((void)(unsafe_shared),\

      __Pyx_NewRef(PyList_GET_ITEM(o, i)))

#else

  #define __Pyx_PyList_GET_ITEM_REF(o, i, unsafe_shared)  ((void)(unsafe_shared),\

      __Pyx_XNewRef(PyList_GetItem(o, i)))

#endif

#if __PYX_LIMITED_VERSION_HEX >= 0x030d0000

#define __Pyx_PyDict_GetItemRef(dict, key, result) PyDict_GetItemRef(dict, key, result)

#elif CYTHON_AVOID_BORROWED_REFS || CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS

static CYTHON_INLINE int __Pyx_PyDict_GetItemRef(PyObject *dict, PyObject *key, PyObject **result) {

  *result = PyObject_GetItem(dict, key);

  if (*result == NULL) {

    if (PyErr_ExceptionMatches(PyExc_KeyError)) {

      PyErr_Clear();

      return 0;

    }

    return -1;

  }

  return 1;

}

#else

static CYTHON_INLINE int __Pyx_PyDict_GetItemRef(PyObject *dict, PyObject *key, PyObject **result) {

  *result = PyDict_GetItemWithError(dict, key);

  if (*result == NULL) {

    return PyErr_Occurred() ? -1 : 0;

  }

  Py_INCREF(*result);

  return 1;

}

#endif

#if defined(CYTHON_DEBUG_VISIT_CONST) && CYTHON_DEBUG_VISIT_CONST

  #define __Pyx_VISIT_CONST(obj)  Py_VISIT(obj)

#else

  #define __Pyx_VISIT_CONST(obj)

#endif

#if CYTHON_ASSUME_SAFE_MACROS

  #define __Pyx_PySequence_ITEM(o, i) PySequence_ITEM(o, i)

  #define __Pyx_PySequence_SIZE(seq)  Py_SIZE(seq)

  #define __Pyx_PyTuple_SET_ITEM(o, i, v) (PyTuple_SET_ITEM(o, i, v), (0))

  #define __Pyx_PyTuple_GET_ITEM(o, i) PyTuple_GET_ITEM(o, i)

  #define __Pyx_PyList_SET_ITEM(o, i, v) (PyList_SET_ITEM(o, i, v), (0))

  #define __Pyx_PyList_GET_ITEM(o, i) PyList_GET_ITEM(o, i)

#else

  #define __Pyx_PySequence_ITEM(o, i) PySequence_GetItem(o, i)

  #define __Pyx_PySequence_SIZE(seq)  PySequence_Size(seq)

  #define __Pyx_PyTuple_SET_ITEM(o, i, v) PyTuple_SetItem(o, i, v)

  #define __Pyx_PyTuple_GET_ITEM(o, i) PyTuple_GetItem(o, i)

  #define __Pyx_PyList_SET_ITEM(o, i, v) PyList_SetItem(o, i, v)

  #define __Pyx_PyList_GET_ITEM(o, i) PyList_GetItem(o, i)

#endif

#if CYTHON_ASSUME_SAFE_SIZE

  #define __Pyx_PyTuple_GET_SIZE(o) PyTuple_GET_SIZE(o)

  #define __Pyx_PyList_GET_SIZE(o) PyList_GET_SIZE(o)

  #define __Pyx_PySet_GET_SIZE(o) PySet_GET_SIZE(o)

  #define __Pyx_PyDict_GET_SIZE(o) PyDict_GET_SIZE(o)

  #define __Pyx_PyBytes_GET_SIZE(o) PyBytes_GET_SIZE(o)

  #define __Pyx_PyByteArray_GET_SIZE(o) PyByteArray_GET_SIZE(o)

  #define __Pyx_PyUnicode_GET_LENGTH(o) PyUnicode_GET_LENGTH(o)

#else

  #define __Pyx_PyTuple_GET_SIZE(o) PyTuple_Size(o)

  #define __Pyx_PyList_GET_SIZE(o) PyList_Size(o)

  #define __Pyx_PySet_GET_SIZE(o) PySet_Size(o)

  #define __Pyx_PyDict_GET_SIZE(o) PyDict_Size(o)

  #define __Pyx_PyBytes_GET_SIZE(o) PyBytes_Size(o)

  #define __Pyx_PyByteArray_GET_SIZE(o) PyByteArray_Size(o)

  #define __Pyx_PyUnicode_GET_LENGTH(o) PyUnicode_GetLength(o)

#endif

#if CYTHON_COMPILING_IN_PYPY && !defined(PyUnicode_InternFromString)

  #define PyUnicode_InternFromString(s) PyUnicode_FromString(s)

#endif

#define __Pyx_PyLong_FromHash_t PyLong_FromSsize_t

#define __Pyx_PyLong_AsHash_t   __Pyx_PyIndex_AsSsize_t

#if __PYX_LIMITED_VERSION_HEX >= 0x030A0000

    #define __Pyx_PySendResult PySendResult

#else

    typedef enum {

        PYGEN_RETURN = 0,

        PYGEN_ERROR = -1,

        PYGEN_NEXT = 1,

    } __Pyx_PySendResult;

#endif

#if CYTHON_COMPILING_IN_LIMITED_API || PY_VERSION_HEX < 0x030A00A3

  typedef __Pyx_PySendResult (*__Pyx_pyiter_sendfunc)(PyObject *iter, PyObject *value, PyObject **result);

#else

  #define __Pyx_pyiter_sendfunc sendfunc

#endif

#if !CYTHON_USE_AM_SEND

#define __PYX_HAS_PY_AM_SEND 0

#elif __PYX_LIMITED_VERSION_HEX >= 0x030A0000

#define __PYX_HAS_PY_AM_SEND 1

#else

#define __PYX_HAS_PY_AM_SEND 2  // our own backported implementation

#endif

#if __PYX_HAS_PY_AM_SEND < 2

    #define __Pyx_PyAsyncMethodsStruct PyAsyncMethods

#else

    typedef struct {

        unaryfunc am_await;

        unaryfunc am_aiter;

        unaryfunc am_anext;

        __Pyx_pyiter_sendfunc am_send;

    } __Pyx_PyAsyncMethodsStruct;

    #define __Pyx_SlotTpAsAsync(s) ((PyAsyncMethods*)(s))

#endif

#if CYTHON_USE_AM_SEND && PY_VERSION_HEX < 0x030A00F0

    #define __Pyx_TPFLAGS_HAVE_AM_SEND (1UL << 21)

#else

    #define __Pyx_TPFLAGS_HAVE_AM_SEND (0)

#endif

#if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030A0000

#ifdef __cplusplus

extern "C"

#endif

PyAPI_FUNC(void *) PyMem_Calloc(size_t nelem, size_t elsize);

#endif

#if CYTHON_COMPILING_IN_LIMITED_API

static int __Pyx_init_co_variable(PyObject *inspect, const char* name, int *write_to) {

    int value;

    PyObject *py_value = PyObject_GetAttrString(inspect, name);

    if (!py_value) return 0;

    value = (int) PyLong_AsLong(py_value);

    Py_DECREF(py_value);

    *write_to = value;

    return value != -1 || !PyErr_Occurred();

}

static int __Pyx_init_co_variables(void) {

    PyObject *inspect;

    int result;

    inspect = PyImport_ImportModule("inspect");

    result =

#if !defined(CO_OPTIMIZED)

        __Pyx_init_co_variable(inspect, "CO_OPTIMIZED", &CO_OPTIMIZED) &&

#endif

#if !defined(CO_NEWLOCALS)

        __Pyx_init_co_variable(inspect, "CO_NEWLOCALS", &CO_NEWLOCALS) &&

#endif

#if !defined(CO_VARARGS)

        __Pyx_init_co_variable(inspect, "CO_VARARGS", &CO_VARARGS) &&

#endif

#if !defined(CO_VARKEYWORDS)

        __Pyx_init_co_variable(inspect, "CO_VARKEYWORDS", &CO_VARKEYWORDS) &&

#endif

#if !defined(CO_ASYNC_GENERATOR)

        __Pyx_init_co_variable(inspect, "CO_ASYNC_GENERATOR", &CO_ASYNC_GENERATOR) &&

#endif

#if !defined(CO_GENERATOR)

        __Pyx_init_co_variable(inspect, "CO_GENERATOR", &CO_GENERATOR) &&

#endif

#if !defined(CO_COROUTINE)

        __Pyx_init_co_variable(inspect, "CO_COROUTINE", &CO_COROUTINE) &&

#endif

        1;

    Py_DECREF(inspect);

    return result ? 0 : -1;

}

static int __Pyx_init_tpflags_bitcount(unsigned long flag) {

    int count = 0;

    while (flag) {

        count += (int) (flag & 1);

        flag >>= 1;

    }

    return count;

}

static int __Pyx_init_tpflags_variables(void) {

    if (__Pyx_Runtime_TPFLAGS_SEQUENCE != 0 && __Pyx_Runtime_TPFLAGS_MAPPING != 0) {

        return 0;

    }

    PyObject *collections_abc = PyImport_ImportModule("collections.abc");

    if (!collections_abc) return -1;

    int result = 0;

    PyObject *sequence = NULL, *mapping = NULL;

#if __PYX_LIMITED_VERSION_HEX >= 0x030D0000

    if (PyObject_GetOptionalAttrString(collections_abc, "Sequence", &sequence) != 1) goto fail;

    if (PyObject_GetOptionalAttrString(collections_abc, "Mapping", &mapping) != 1) goto fail;

#else

    sequence = PyObject_GetAttrString(collections_abc, "Sequence");

    if (!sequence) goto fail_attr_lookup;

    mapping = PyObject_GetAttrString(collections_abc, "Mapping");

    if (!mapping) goto fail_attr_lookup;

#endif

    if (!PyType_Check(sequence) || !PyType_Check(mapping)) goto fail;

    {

        unsigned long sequence_flags = PyType_GetFlags((PyTypeObject*)sequence);

        unsigned long mapping_flags = PyType_GetFlags((PyTypeObject*)mapping);

        unsigned long mutual_flags = sequence_flags & mapping_flags;

        sequence_flags = sequence_flags ^ mutual_flags;

        mapping_flags = mapping_flags ^ mutual_flags;

        if (__Pyx_Runtime_TPFLAGS_SEQUENCE == 0 && __Pyx_init_tpflags_bitcount(sequence_flags) == 1) {

            __Pyx_Runtime_TPFLAGS_SEQUENCE = sequence_flags;

        }

        if (__Pyx_Runtime_TPFLAGS_MAPPING == 0 && __Pyx_init_tpflags_bitcount(mapping_flags) == 1) {

            __Pyx_Runtime_TPFLAGS_MAPPING = mapping_flags;

        }

    }

    cleanup:

    Py_XDECREF(mapping);

    Py_XDECREF(sequence);

    Py_DECREF(collections_abc);

    return result;

#if __PYX_LIMITED_VERSION_HEX < 0x030D0000

    fail_attr_lookup:

    if (PyErr_ExceptionMatches(PyExc_AttributeError)) {

        PyErr_Clear();

    }

#endif

    fail:

    result = PyErr_Occurred() ? -1 : 0;

    goto cleanup;

}

#else

static int __Pyx_init_co_variables(void) {

    return 0;  // It's a limited API-only feature

}

static int __Pyx_init_tpflags_variables(void) {

    return 0;  // It's a limited API-only feature

}

#endif


/* MathInitCode */

#if defined(_WIN32) || defined(WIN32) || defined(MS_WINDOWS)

  #ifndef _USE_MATH_DEFINES

    #define _USE_MATH_DEFINES

  #endif

#endif

#include <math.h>

#if defined(__CYGWIN__) && defined(_LDBL_EQ_DBL)

#define __Pyx_truncl trunc

#else

#define __Pyx_truncl truncl

#endif


#ifndef CYTHON_CLINE_IN_TRACEBACK_RUNTIME

#define CYTHON_CLINE_IN_TRACEBACK_RUNTIME 1

#endif

#ifndef CYTHON_CLINE_IN_TRACEBACK

#define CYTHON_CLINE_IN_TRACEBACK CYTHON_CLINE_IN_TRACEBACK_RUNTIME

#endif

#if CYTHON_CLINE_IN_TRACEBACK

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

#else

#define __PYX_MARK_ERR_POS(f_index, lineno)  { __pyx_filename = __pyx_f[f_index]; (void) __pyx_filename; __pyx_lineno = lineno; (void) __pyx_lineno; (void) __pyx_clineno; }

#endif

#define __PYX_ERR(f_index, lineno, Ln_error) \

    { __PYX_MARK_ERR_POS(f_index, lineno) goto Ln_error; }


#ifdef CYTHON_EXTERN_C

    #undef __PYX_EXTERN_C

    #define __PYX_EXTERN_C CYTHON_EXTERN_C

#elif defined(__PYX_EXTERN_C)

    #ifdef _MSC_VER

    #pragma message ("Please do not define the '__PYX_EXTERN_C' macro externally. Use 'CYTHON_EXTERN_C' instead.")

    #else

    #warning Please do not define the '__PYX_EXTERN_C' macro externally. Use 'CYTHON_EXTERN_C' instead.

    #endif

#else

  #ifdef __cplusplus

    #define __PYX_EXTERN_C extern "C"

  #else

    #define __PYX_EXTERN_C extern

  #endif

#endif


#define __PYX_HAVE__cpostprocessing

#define __PYX_HAVE_API__cpostprocessing

/* Early includes */

#include <string.h>

#include <stdio.h>


    /* Using NumPy API declarations from "numpy/__init__.cython-30.pxd" */


#include "numpy/arrayobject.h"

#include "numpy/ndarrayobject.h"

#include "numpy/ndarraytypes.h"

#include "numpy/arrayscalars.h"

#include "numpy/ufuncobject.h"

#include "postprocessing.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/cpostprocessing.pyx",

  "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd",

  "(tree fragment)",

  "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


/* BufferFormatStructs.proto (used by BufferFormatCheck) */

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;


/* IncludeStructmemberH.proto (used by CythonFunctionShared) */

#include <structmember.h>


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


/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":761

 * # in Cython to enable them only on the right systems.

 *

 * ctypedef npy_int8       int8_t             # <<<<<<<<<<<<<<

 * ctypedef npy_int16      int16_t

 * ctypedef npy_int32      int32_t

*/

typedef npy_int8 __pyx_t_5numpy_int8_t;


/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":762

 *

 * ctypedef npy_int8       int8_t

 * ctypedef npy_int16      int16_t             # <<<<<<<<<<<<<<

 * ctypedef npy_int32      int32_t

 * ctypedef npy_int64      int64_t

*/

typedef npy_int16 __pyx_t_5numpy_int16_t;


/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":763

 * ctypedef npy_int8       int8_t

 * ctypedef npy_int16      int16_t

 * ctypedef npy_int32      int32_t             # <<<<<<<<<<<<<<

 * ctypedef npy_int64      int64_t

 *

*/

typedef npy_int32 __pyx_t_5numpy_int32_t;


/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":764

 * ctypedef npy_int16      int16_t

 * ctypedef npy_int32      int32_t

 * ctypedef npy_int64      int64_t             # <<<<<<<<<<<<<<

 *

 * ctypedef npy_uint8      uint8_t

*/

typedef npy_int64 __pyx_t_5numpy_int64_t;


/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":766

 * ctypedef npy_int64      int64_t

 *

 * ctypedef npy_uint8      uint8_t             # <<<<<<<<<<<<<<

 * ctypedef npy_uint16     uint16_t

 * ctypedef npy_uint32     uint32_t

*/

typedef npy_uint8 __pyx_t_5numpy_uint8_t;


/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":767

 *

 * ctypedef npy_uint8      uint8_t

 * ctypedef npy_uint16     uint16_t             # <<<<<<<<<<<<<<

 * ctypedef npy_uint32     uint32_t

 * ctypedef npy_uint64     uint64_t

*/

typedef npy_uint16 __pyx_t_5numpy_uint16_t;


/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":768

 * ctypedef npy_uint8      uint8_t

 * ctypedef npy_uint16     uint16_t

 * ctypedef npy_uint32     uint32_t             # <<<<<<<<<<<<<<

 * ctypedef npy_uint64     uint64_t

 *

*/

typedef npy_uint32 __pyx_t_5numpy_uint32_t;


/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":769

 * ctypedef npy_uint16     uint16_t

 * ctypedef npy_uint32     uint32_t

 * ctypedef npy_uint64     uint64_t             # <<<<<<<<<<<<<<

 *

 * ctypedef npy_float32    float32_t

*/

typedef npy_uint64 __pyx_t_5numpy_uint64_t;


/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":771

 * ctypedef npy_uint64     uint64_t

 *

 * ctypedef npy_float32    float32_t             # <<<<<<<<<<<<<<

 * ctypedef npy_float64    float64_t

 * #ctypedef npy_float80    float80_t

*/

typedef npy_float32 __pyx_t_5numpy_float32_t;


/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":772

 *

 * ctypedef npy_float32    float32_t

 * ctypedef npy_float64    float64_t             # <<<<<<<<<<<<<<

 * #ctypedef npy_float80    float80_t

 * #ctypedef npy_float128   float128_t

*/

typedef npy_float64 __pyx_t_5numpy_float64_t;


/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":779

 * ctypedef double complex complex128_t

 *

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*/

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

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 *

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*/

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

 *

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 * 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

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 *

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*/

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

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*/

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

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*/

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

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*/

typedef npy_longdouble __pyx_t_5numpy_longdouble_t;

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/* #### Code section: type_declarations ### */


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struct __pyx_obj_15cpostprocessing_NodeStarFactor;


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static _PyErr_StackItem * __Pyx_PyErr_GetTopmostException(PyThreadState *tstate);

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/* PyThreadStateGet.proto (used by SaveResetException) */

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#define __Pyx_PyThreadState_declare  PyThreadState *__pyx_tstate;

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#define __Pyx_PyErr_Occurred()  (__pyx_tstate->current_exception != NULL)

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/* SaveResetException.proto */

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#define __Pyx_ExceptionSave(type, value, tb)  __Pyx__ExceptionSave(__pyx_tstate, type, value, tb)

static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);

#define __Pyx_ExceptionReset(type, value, tb)  __Pyx__ExceptionReset(__pyx_tstate, type, value, tb)

static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);

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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)

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#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)

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/* PyException_Check.proto */

#define __Pyx_PyExc_Exception_Check(obj)  __Pyx_TypeCheck(obj, PyExc_Exception)


/* PyErrFetchRestore.proto (used by GivenExceptionMatches) */

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#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);

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#define __Pyx_PyErr_SetNone(exc) (Py_INCREF(exc), __Pyx_ErrRestore((exc), NULL, NULL))

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#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)

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#define __Pyx_PyErr_Clear() PyErr_Clear()

#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)

#define __Pyx_ErrRestoreWithState(type, value, tb)  PyErr_Restore(type, value, tb)

#define __Pyx_ErrFetchWithState(type, value, tb)  PyErr_Fetch(type, value, tb)

#define __Pyx_ErrRestoreInState(tstate, type, value, tb)  PyErr_Restore(type, value, tb)

#define __Pyx_ErrFetchInState(tstate, type, value, tb)  PyErr_Fetch(type, value, tb)

#define __Pyx_ErrRestore(type, value, tb)  PyErr_Restore(type, value, tb)

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/* GivenExceptionMatches.proto (used by PyErrExceptionMatches) */

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static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject *type);

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} __Pyx_CachedCFunction;


/* IgnoreException.proto (used by UnpackUnboundCMethod_impl) */

static CYTHON_INLINE int __Pyx_IgnoreGivenException(PyObject *given_exception, PyObject *ignorable_exception);

#define __Pyx_IgnoreException(ignorable_exception) __Pyx_IgnoreGivenException(NULL, ignorable_exception)


/* PyObjectGetAttrStr.proto (used by UnpackUnboundCMethod_impl) */

#if CYTHON_USE_TYPE_SLOTS

static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject* obj, PyObject* attr_name);

#else

#define __Pyx_PyObject_GetAttrStr(o,n) PyObject_GetAttr(o,n)

#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);


/* 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)


/* DivInt[npy_intp].proto */

static CYTHON_INLINE npy_intp __Pyx_div_npy_intp(npy_intp, npy_intp, int b_is_constant);


/* UnaryNegOverflows.proto */

#define __Pyx_UNARY_NEG_WOULD_OVERFLOW(x)\

        (((x) < 0) & ((unsigned long)(x) == 0-(unsigned long)(x)))


/* 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)


/* IsLittleEndian.proto (used by BufferFormatCheck) */

static CYTHON_INLINE int __Pyx_Is_Little_Endian(void);


/* BufferFormatCheck.proto (used by BufferGetAndValidate) */

static const char* __Pyx_BufFmt_CheckString(__Pyx_BufFmt_Context* ctx, const char* ts);

static void __Pyx_BufFmt_Init(__Pyx_BufFmt_Context* ctx,

                              __Pyx_BufFmt_StackElem* stack,

                              const __Pyx_TypeInfo* type);


/* BufferGetAndValidate.proto */

#define __Pyx_GetBufferAndValidate(buf, obj, dtype, flags, nd, cast, stack)\

    ((obj == Py_None || obj == NULL) ?\

    (__Pyx_ZeroBuffer(buf), 0) :\

    __Pyx__GetBufferAndValidate(buf, obj, dtype, flags, nd, cast, stack))

static int  __Pyx__GetBufferAndValidate(Py_buffer* buf, PyObject* obj,

  const __Pyx_TypeInfo* dtype, int flags, int nd, int cast, __Pyx_BufFmt_StackElem* stack);

static void __Pyx_ZeroBuffer(Py_buffer* buf);

static CYTHON_INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info);

static Py_ssize_t __Pyx_minusones[] = { -1, -1, -1, -1, -1, -1, -1, -1 };

static Py_ssize_t __Pyx_zeros[] = { 0, 0, 0, 0, 0, 0, 0, 0 };


/* 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);


/* PyObjectGetAttrStrNoError.proto (used by ObjectGetItem) */

static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStrNoError(PyObject* obj, PyObject* attr_name);


/* FormatTypeName.proto (used by RaiseErrorWithObjectType) */

#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


/* 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


/* BufferIndexError.proto */

static void __Pyx_RaiseBufferIndexError(int axis);


#define __Pyx_BufPtrStrided2d(type, buf, i0, s0, i1, s1) (type)((char*)buf + i0 * s0 + i1 * s1)

/* RaiseErrorWithObjectTypes.proto (used by PyNumberBinop) */

#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);


/* PyNumberBinop.proto */

#if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL || CYTHON_COMPILING_IN_LIMITED_API

#define __Pyx_PyNumber_Add_object_object(op1, op2)  PyNumber_Add(op1, op2)

#define __Pyx_PyNumber_InPlaceAdd_object_object(op1, op2)  PyNumber_InPlaceAdd(op1, op2)

#else

#define __Pyx_PyNumber_Add_object_object(op1, op2)  __Pyx__PyNumber_Add_object_object(op1, op2, 0)

#define __Pyx_PyNumber_InPlaceAdd_object_object(op1, op2)  __Pyx__PyNumber_Add_object_object(op1, op2, 1)

static CYTHON_INLINE PyObject* __Pyx__PyNumber_Add_object_object(PyObject *op1, PyObject *op2, int inplace);

#endif


/* 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


/* 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


/* 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


/* RaiseErrorWithObjectType1.proto (used by ValidateBasesTuple) */

#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);


/* 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);


/* 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


/* HasAttr.proto (used by ImportImpl) */

#if __PYX_LIMITED_VERSION_HEX >= 0x030d0000

#define __Pyx_HasAttr(o, n)  PyObject_HasAttrWithError(o, n)

#else

static CYTHON_INLINE int __Pyx_HasAttr(PyObject *, PyObject *);

#endif


/* TupleOrListFromArrayImpl.proto (used by ListFromArray) */

CYTHON_UNUSED static PyObject *

__Pyx_PyList_FromArray(PyObject *const *src, Py_ssize_t n);


/* ListFromArray.proto (used by ImportImpl) */


/* ImportImpl.export */

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


/* Import.proto */

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


/* dict_setdefault.proto (used by FetchCommonType) */

static CYTHON_INLINE PyObject *__Pyx_PyDict_SetDefault(PyObject *d, PyObject *key, PyObject *default_value);


/* AddModuleRef.proto (used by FetchSharedCythonModule) */

#if ((CYTHON_COMPILING_IN_CPYTHON_FREETHREADING && PY_VERSION_HEX < 0x030F00a3) ||\

     __PYX_LIMITED_VERSION_HEX < 0x030d0000)

  static PyObject *__Pyx_PyImport_AddModuleRef(const char *name);

#else

  #define __Pyx_PyImport_AddModuleRef(name) PyImport_AddModuleRef(name)

#endif


/* FetchSharedCythonModule.proto (used by FetchCommonType) */

static PyObject *__Pyx_FetchSharedCythonABIModule(void);


/* VerifyCachedType.proto (used by FetchCommonType) */

static int __Pyx_VerifyCachedType(PyObject *cached_type,

                               const char *name,

                               Py_ssize_t expected_basicsize);


/* FetchCommonType.proto (used by CommonTypesMetaclass) */

static PyTypeObject* __Pyx_FetchCommonTypeFromSpec(PyTypeObject *metaclass, PyObject *module, PyType_Spec *spec, PyObject *bases);


/* CommonTypesMetaclass.proto (used by CythonFunctionShared) */

static int __pyx_CommonTypesMetaclass_init(PyObject *module);

#define __Pyx_CommonTypesMetaclass_USED


/* CythonFunctionPerModule.proto (used by CythonFunctionShared) */

#define __Pyx_CyFunction_USED

#if CYTHON_OPAQUE_SHARED_TYPES

#define __Pyx_as_CyFunctionObject(o) ((__pyx_CyFunctionObject *)PyObject_GetTypeData((o), __pyx_mstate_global->__pyx_CyFunctionType))

#else

#define __Pyx_as_CyFunctionObject(o) ((__pyx_CyFunctionObject *)o)

#endif

#define __Pyx_CYFUNCTION_STATICMETHOD  0x01

#define __Pyx_CYFUNCTION_CLASSMETHOD   0x02

#define __Pyx_CYFUNCTION_CCLASS        0x04

#define __Pyx_CYFUNCTION_COROUTINE     0x08

#define __Pyx_CyFunction_GetClosure(f)\

    ((__Pyx_as_CyFunctionObject(f))->func_closure)

#if CYTHON_COMPILING_IN_LIMITED_API

  #define __Pyx__CyFunction_GetClassObj(f)\

      ((f)->func_classobj)

#else

  #define __Pyx__CyFunction_GetClassObj(f)\

      ((PyObject*) ((PyCMethodObject *) (f))->mm_class)

#endif

#define __Pyx_CyFunction_GetClassObj(f)\

    __Pyx__CyFunction_GetClassObj(__Pyx_as_CyFunctionObject(f))

#define __Pyx_CyFunction_SetClassObj(f, classobj)\

    __Pyx__CyFunction_SetClassObj(__Pyx_as_CyFunctionObject(f), (classobj))

#define __Pyx_CyFunction_Defaults(type, f)\

    ((type *)((__Pyx_as_CyFunctionObject(f))->defaults))

#define __Pyx_CyFunction_SetDefaultsGetter(f, g)\

    (__Pyx_as_CyFunctionObject(f))->defaults_getter = (g)

typedef struct {

#if CYTHON_COMPILING_IN_LIMITED_API

#if !CYTHON_OPAQUE_OBJECTS

    PyObject_HEAD

#endif

    PyMethodDef *func_methoddef;

    PyObject *func_module;

#else

    PyCMethodObject func;

#endif

#if (CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_PYPY) && CYTHON_VECTORCALL

    __pyx_vectorcallfunc func_vectorcall;

#endif

#if CYTHON_COMPILING_IN_LIMITED_API

    PyObject *func_weakreflist;

#endif

#if PY_VERSION_HEX < 0x030C0000 || CYTHON_COMPILING_IN_LIMITED_API

    PyObject *func_dict;

#endif

    PyObject *func_name;

    PyObject *func_qualname;

    PyObject *func_doc;

    PyObject *func_globals;

    PyObject *func_code;

    PyObject *func_closure;

#if CYTHON_COMPILING_IN_LIMITED_API

    PyObject *func_classobj;

#endif

    PyObject *defaults;

    int flags;

    PyObject *defaults_tuple;

    PyObject *defaults_kwdict;

    PyObject *(*defaults_getter)(PyObject *);

    PyObject *func_annotations;

#if __PYX_LIMITED_VERSION_HEX < 0x030B0000

    PyObject *func_is_coroutine;

#endif

} __pyx_CyFunctionObject;

#undef __Pyx_CyOrPyCFunction_Check

#define __Pyx_CyFunction_Check(obj)  __Pyx_TypeCheck(obj, __pyx_mstate_global->__pyx_CyFunctionType)

#define __Pyx_CyOrPyCFunction_Check(obj)  __Pyx_TypeCheck2(obj, __pyx_mstate_global->__pyx_CyFunctionType, &PyCFunction_Type)

#define __Pyx_CyFunction_CheckExact(obj)  Py_IS_TYPE(obj, __pyx_mstate_global->__pyx_CyFunctionType)

static CYTHON_INLINE int __Pyx__IsSameCyOrCFunction(PyObject *func, void (*cfunc)(void));

#undef __Pyx_IsSameCFunction

#define __Pyx_IsSameCFunction(func, cfunc)   __Pyx__IsSameCyOrCFunction(func, cfunc)

static CYTHON_INLINE void __Pyx__CyFunction_SetClassObj(__pyx_CyFunctionObject* f, PyObject* classobj);

static CYTHON_INLINE PyObject *__Pyx_CyFunction_InitDefaults(PyObject *func,

                                                         PyTypeObject *defaults_type);

static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *m,

                                                            PyObject *tuple);

static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *m,

                                                             PyObject *dict);

static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *m,

                                                              PyObject *dict);

static int __pyx_CyFunction_init(PyObject *module);

#if CYTHON_VECTORCALL

#if CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_PYPY

#define __Pyx_CyFunction_func_vectorcall(f) ((f)->func_vectorcall)

#else

#define __Pyx_CyFunction_func_vectorcall(f) (((PyCFunctionObject*)f)->vectorcall)

#endif

#endif


/* CallTypeTraverse.proto (used by CythonFunctionShared) */

#if !CYTHON_USE_TYPE_SPECS

#define __Pyx_call_type_traverse(o, always_call, visit, arg) 0

#else

static int __Pyx_call_type_traverse(PyObject *o, int always_call, visitproc visit, void *arg);

#endif


/* PyMethodNew.proto (used by CythonFunctionShared) */

static PyObject *__Pyx_PyMethod_New(PyObject *func, PyObject *self, PyObject *typ);


/* PyVectorcallFastCallDict.proto (used by CythonFunctionShared) */

#if CYTHON_VECTORCALL

static CYTHON_INLINE PyObject *__Pyx_PyVectorcall_FastCallDict(PyObject *func, __pyx_vectorcallfunc vc, PyObject *const *args, size_t nargs, PyObject *kw);

#endif


/* CythonFunctionShared.proto (used by CythonFunction) */

static PyObject *__Pyx_CyFunction_Init(PyObject *op_in, PyMethodDef *ml,

                                      int flags, PyObject* qualname,

                                      PyObject *closure,

                                      PyObject *module, PyObject *globals,

                                      PyObject* code);

#if CYTHON_VECTORCALL

static PyObject * __Pyx_CyFunction_Vectorcall_NOARGS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames);

static PyObject * __Pyx_CyFunction_Vectorcall_O(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames);

static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames);

static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS_METHOD(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames);

#endif


/* CythonFunction.export */

static PyObject *__Pyx_CyFunction_New(PyMethodDef *ml,

                                      int flags, PyObject* qualname,

                                      PyObject *closure,

                                      PyObject *module, PyObject *globals,

                                      PyObject* code);

static PyTypeObject *__Pyx_Get_CyFunction_Type(void);


/* PyDictVersioning.proto (used by CLineInTraceback) */

#if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS

#define __PYX_DICT_VERSION_INIT  ((PY_UINT64_T) -1)

#define __PYX_GET_DICT_VERSION(dict)  (((PyDictObject*)(dict))->ma_version_tag)

#define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var)\

    (version_var) = __PYX_GET_DICT_VERSION(dict);\

    (cache_var) = (value);

#define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP) {\

    static PY_UINT64_T __pyx_dict_version = 0;\

    static PyObject *__pyx_dict_cached_value = NULL;\

    if (likely(__PYX_GET_DICT_VERSION(DICT) == __pyx_dict_version)) {\

        (VAR) = __Pyx_XNewRef(__pyx_dict_cached_value);\

    } else {\

        (VAR) = __pyx_dict_cached_value = (LOOKUP);\

        __pyx_dict_version = __PYX_GET_DICT_VERSION(DICT);\

    }\

}

static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj);

static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj);

static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version);

#else

#define __PYX_GET_DICT_VERSION(dict)  (0)

#define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var)

#define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP)  (VAR) = (LOOKUP);

#endif


/* CLineInTraceback.proto (used by AddTraceback) */

#if CYTHON_CLINE_IN_TRACEBACK && CYTHON_CLINE_IN_TRACEBACK_RUNTIME

static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line);

#else

#define __Pyx_CLineForTraceback(tstate, c_line)  (((CYTHON_CLINE_IN_TRACEBACK)) ? c_line : 0)

#endif


/* CodeObjectCache.proto (used by AddTraceback) */

#if CYTHON_COMPILING_IN_LIMITED_API

typedef PyObject __Pyx_CachedCodeObjectType;

#else

typedef PyCodeObject __Pyx_CachedCodeObjectType;

#endif

typedef struct {

    __Pyx_CachedCodeObjectType* code_object;

    int code_line;

} __Pyx_CodeObjectCacheEntry;

struct __Pyx_CodeObjectCache {

    int count;

    int max_count;

    __Pyx_CodeObjectCacheEntry* entries;

  #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING

    __pyx_atomic_int_type accessor_count;

  #endif

};

static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line);

static __Pyx_CachedCodeObjectType *__pyx_find_code_object(int code_line);

static void __pyx_insert_code_object(int code_line, __Pyx_CachedCodeObjectType* code_object);


/* AddTraceback.proto */

static void __Pyx_AddTraceback(const char *funcname, int c_line,

                               int py_line, const char *filename);


/* BufferStructDeclare.proto */

typedef struct {

  Py_ssize_t shape, strides, suboffsets;

} __Pyx_Buf_DimInfo;

typedef struct {

  size_t refcount;

  Py_buffer pybuffer;

} __Pyx_Buffer;

typedef struct {

  __Pyx_Buffer *rcbuffer;

  char *data;

  __Pyx_Buf_DimInfo diminfo[8];

} __Pyx_LocalBuf_ND;


/* GCCDiagnostics.proto */

#if !defined(__INTEL_COMPILER) && defined(__GNUC__) && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 6))

#define __Pyx_HAS_GCC_DIAGNOSTIC

#endif


/* RealImag.proto */

#if CYTHON_CCOMPLEX

  #ifdef __cplusplus

    #define __Pyx_CREAL(z) ((z).real())

    #define __Pyx_CIMAG(z) ((z).imag())

  #else

    #define __Pyx_CREAL(z) (__real__(z))

    #define __Pyx_CIMAG(z) (__imag__(z))

  #endif

#else

    #define __Pyx_CREAL(z) ((z).real)

    #define __Pyx_CIMAG(z) ((z).imag)

#endif

#if defined(__cplusplus) && CYTHON_CCOMPLEX\

        && (defined(_WIN32) || defined(__clang__) || (defined(__GNUC__) && (__GNUC__ >= 5 || __GNUC__ == 4 && __GNUC_MINOR__ >= 4 )) || __cplusplus >= 201103)

    #define __Pyx_SET_CREAL(z,x) ((z).real(x))

    #define __Pyx_SET_CIMAG(z,y) ((z).imag(y))

#else

    #define __Pyx_SET_CREAL(z,x) __Pyx_CREAL(z) = (x)

    #define __Pyx_SET_CIMAG(z,y) __Pyx_CIMAG(z) = (y)

#endif


/* Arithmetic.proto */

#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)

    #define __Pyx_c_eq_float(a, b)   ((a)==(b))

    #define __Pyx_c_sum_float(a, b)  ((a)+(b))

    #define __Pyx_c_diff_float(a, b) ((a)-(b))

    #define __Pyx_c_prod_float(a, b) ((a)*(b))

    #define __Pyx_c_quot_float(a, b) ((a)/(b))

    #define __Pyx_c_neg_float(a)     (-(a))

  #ifdef __cplusplus

    #define __Pyx_c_is_zero_float(z) ((z)==(float)0)

    #define __Pyx_c_conj_float(z)    (::std::conj(z))

    #if 1

        #define __Pyx_c_abs_float(z)     (::std::abs(z))

        #define __Pyx_c_pow_float(a, b)  (::std::pow(a, b))

    #endif

  #else

    #define __Pyx_c_is_zero_float(z) ((z)==0)

    #define __Pyx_c_conj_float(z)    (conjf(z))

    #if 1

        #define __Pyx_c_abs_float(z)     (cabsf(z))

        #define __Pyx_c_pow_float(a, b)  (cpowf(a, b))

    #endif

 #endif

#else

    static CYTHON_INLINE int __Pyx_c_eq_float(__pyx_t_float_complex, __pyx_t_float_complex);

    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sum_float(__pyx_t_float_complex, __pyx_t_float_complex);

    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_diff_float(__pyx_t_float_complex, __pyx_t_float_complex);

    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prod_float(__pyx_t_float_complex, __pyx_t_float_complex);

    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex, __pyx_t_float_complex);

    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_neg_float(__pyx_t_float_complex);

    static CYTHON_INLINE int __Pyx_c_is_zero_float(__pyx_t_float_complex);

    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conj_float(__pyx_t_float_complex);

    #if 1

        static CYTHON_INLINE float __Pyx_c_abs_float(__pyx_t_float_complex);

        static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_pow_float(__pyx_t_float_complex, __pyx_t_float_complex);

    #endif

#endif


/* Arithmetic.proto */

#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)

    #define __Pyx_c_eq_double(a, b)   ((a)==(b))

    #define __Pyx_c_sum_double(a, b)  ((a)+(b))

    #define __Pyx_c_diff_double(a, b) ((a)-(b))

    #define __Pyx_c_prod_double(a, b) ((a)*(b))

    #define __Pyx_c_quot_double(a, b) ((a)/(b))

    #define __Pyx_c_neg_double(a)     (-(a))

  #ifdef __cplusplus

    #define __Pyx_c_is_zero_double(z) ((z)==(double)0)

    #define __Pyx_c_conj_double(z)    (::std::conj(z))

    #if 1

        #define __Pyx_c_abs_double(z)     (::std::abs(z))

        #define __Pyx_c_pow_double(a, b)  (::std::pow(a, b))

    #endif

  #else

    #define __Pyx_c_is_zero_double(z) ((z)==0)

    #define __Pyx_c_conj_double(z)    (conj(z))

    #if 1

        #define __Pyx_c_abs_double(z)     (cabs(z))

        #define __Pyx_c_pow_double(a, b)  (cpow(a, b))

    #endif

 #endif

#else

    static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex, __pyx_t_double_complex);

    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex, __pyx_t_double_complex);

    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex, __pyx_t_double_complex);

    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex, __pyx_t_double_complex);

    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex, __pyx_t_double_complex);

    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex);

    static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex);

    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex);

    #if 1

        static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex);

        static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex, __pyx_t_double_complex);

    #endif

#endif


/* Arithmetic.proto */

#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)

    #define __Pyx_c_eq_long__double(a, b)   ((a)==(b))

    #define __Pyx_c_sum_long__double(a, b)  ((a)+(b))

    #define __Pyx_c_diff_long__double(a, b) ((a)-(b))

    #define __Pyx_c_prod_long__double(a, b) ((a)*(b))

    #define __Pyx_c_quot_long__double(a, b) ((a)/(b))

    #define __Pyx_c_neg_long__double(a)     (-(a))

  #ifdef __cplusplus

    #define __Pyx_c_is_zero_long__double(z) ((z)==(long double)0)

    #define __Pyx_c_conj_long__double(z)    (::std::conj(z))

    #if 1

        #define __Pyx_c_abs_long__double(z)     (::std::abs(z))

        #define __Pyx_c_pow_long__double(a, b)  (::std::pow(a, b))

    #endif

  #else

    #define __Pyx_c_is_zero_long__double(z) ((z)==0)

    #define __Pyx_c_conj_long__double(z)    (conjl(z))

    #if 1

        #define __Pyx_c_abs_long__double(z)     (cabsl(z))

        #define __Pyx_c_pow_long__double(a, b)  (cpowl(a, b))

    #endif

 #endif

#else

    static CYTHON_INLINE int __Pyx_c_eq_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex);

    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_sum_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex);

    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_diff_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex);

    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_prod_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex);

    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_quot_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex);

    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_neg_long__double(__pyx_t_long_double_complex);

    static CYTHON_INLINE int __Pyx_c_is_zero_long__double(__pyx_t_long_double_complex);

    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_conj_long__double(__pyx_t_long_double_complex);

    #if 1

        static CYTHON_INLINE long double __Pyx_c_abs_long__double(__pyx_t_long_double_complex);

        static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_pow_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex);

    #endif

#endif


/* 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);


/* CIntFromPy.proto */

static CYTHON_INLINE long __Pyx_PyLong_As_long(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

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/* #### 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

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    #define __PYX_LIMITED_ABI_SUFFIX "limited" __PYX_VECTORCALL_ABI_SUFFIX __PYX_AM_SEND_ABI_SUFFIX

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    #define __PYX_LIMITED_ABI_SUFFIX

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#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"

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#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"

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    #define __PYX_OPAQUE_OBJECTS_ABI_SUFFIX

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#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 CYTHON_INLINE PyTypeObject *__pyx_f_5numpy_5dtype_7typeobj___get__(PyArray_Descr *__pyx_v_self); /* proto*/

static CYTHON_INLINE char __pyx_f_5numpy_5dtype_4kind___get__(PyArray_Descr *__pyx_v_self); /* proto*/

static CYTHON_INLINE char __pyx_f_5numpy_5dtype_4type___get__(PyArray_Descr *__pyx_v_self); /* proto*/

static CYTHON_INLINE char __pyx_f_5numpy_5dtype_9byteorder___get__(PyArray_Descr *__pyx_v_self); /* proto*/

static CYTHON_INLINE int __pyx_f_5numpy_5dtype_8type_num___get__(PyArray_Descr *__pyx_v_self); /* proto*/

static CYTHON_INLINE npy_intp __pyx_f_5numpy_5dtype_8itemsize___get__(PyArray_Descr *__pyx_v_self); /* proto*/

static CYTHON_INLINE npy_intp __pyx_f_5numpy_5dtype_9alignment___get__(PyArray_Descr *__pyx_v_self); /* proto*/

static CYTHON_INLINE PyObject *__pyx_f_5numpy_5dtype_6fields___get__(PyArray_Descr *__pyx_v_self); /* proto*/

static CYTHON_INLINE PyObject *__pyx_f_5numpy_5dtype_5names___get__(PyArray_Descr *__pyx_v_self); /* proto*/

static CYTHON_INLINE PyArray_ArrayDescr *__pyx_f_5numpy_5dtype_8subarray___get__(PyArray_Descr *__pyx_v_self); /* proto*/

static CYTHON_INLINE npy_uint64 __pyx_f_5numpy_5dtype_5flags___get__(PyArray_Descr *__pyx_v_self); /* proto*/

static CYTHON_INLINE int __pyx_f_5numpy_9broadcast_7numiter___get__(PyArrayMultiIterObject *__pyx_v_self); /* proto*/

static CYTHON_INLINE npy_intp __pyx_f_5numpy_9broadcast_4size___get__(PyArrayMultiIterObject *__pyx_v_self); /* proto*/

static CYTHON_INLINE npy_intp __pyx_f_5numpy_9broadcast_5index___get__(PyArrayMultiIterObject *__pyx_v_self); /* proto*/

static CYTHON_INLINE int __pyx_f_5numpy_9broadcast_2nd___get__(PyArrayMultiIterObject *__pyx_v_self); /* proto*/

static CYTHON_INLINE npy_intp *__pyx_f_5numpy_9broadcast_10dimensions___get__(PyArrayMultiIterObject *__pyx_v_self); /* proto*/

static CYTHON_INLINE void **__pyx_f_5numpy_9broadcast_5iters___get__(PyArrayMultiIterObject *__pyx_v_self); /* proto*/

static CYTHON_INLINE PyObject *__pyx_f_5numpy_7ndarray_4base___get__(PyArrayObject *__pyx_v_self); /* proto*/

static CYTHON_INLINE PyArray_Descr *__pyx_f_5numpy_7ndarray_5descr___get__(PyArrayObject *__pyx_v_self); /* proto*/

static CYTHON_INLINE int __pyx_f_5numpy_7ndarray_4ndim___get__(PyArrayObject *__pyx_v_self); /* proto*/

static CYTHON_INLINE npy_intp *__pyx_f_5numpy_7ndarray_5shape___get__(PyArrayObject *__pyx_v_self); /* proto*/

static CYTHON_INLINE npy_intp *__pyx_f_5numpy_7ndarray_7strides___get__(PyArrayObject *__pyx_v_self); /* proto*/

static CYTHON_INLINE npy_intp __pyx_f_5numpy_7ndarray_4size___get__(PyArrayObject *__pyx_v_self); /* proto*/

static CYTHON_INLINE char *__pyx_f_5numpy_7ndarray_4data___get__(PyArrayObject *__pyx_v_self); /* proto*/

static CYTHON_INLINE int __pyx_f_5numpy_5ufunc_3nin___get__(PyUFuncObject *__pyx_v_self); /* proto*/

static CYTHON_INLINE int __pyx_f_5numpy_5ufunc_4nout___get__(PyUFuncObject *__pyx_v_self); /* proto*/

static CYTHON_INLINE int __pyx_f_5numpy_5ufunc_5nargs___get__(PyUFuncObject *__pyx_v_self); /* proto*/

static CYTHON_INLINE PyUFuncGenericFunction *__pyx_f_5numpy_5ufunc_9functions___get__(PyUFuncObject *__pyx_v_self); /* proto*/

static CYTHON_INLINE void **__pyx_f_5numpy_5ufunc_4data___get__(PyUFuncObject *__pyx_v_self); /* proto*/

static CYTHON_INLINE int __pyx_f_5numpy_5ufunc_6ntypes___get__(PyUFuncObject *__pyx_v_self); /* proto*/

static CYTHON_INLINE char const *__pyx_f_5numpy_5ufunc_4name___get__(PyUFuncObject *__pyx_v_self); /* proto*/

static CYTHON_INLINE char const *__pyx_f_5numpy_5ufunc_3doc___get__(PyUFuncObject *__pyx_v_self); /* proto*/

static CYTHON_INLINE void *__pyx_f_5numpy_5ufunc_3ptr___get__(PyUFuncObject *__pyx_v_self); /* proto*/

static CYTHON_INLINE PyObject *__pyx_f_5numpy_5ufunc_3obj___get__(PyUFuncObject *__pyx_v_self); /* proto*/

static CYTHON_INLINE PyObject *__pyx_f_5numpy_5ufunc_9userloops___get__(PyUFuncObject *__pyx_v_self); /* proto*/


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


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


/* Module declarations from "__builtin__" */


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


/* Module declarations from "cpython" */


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


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


/* Module declarations from "numpy" */


/* Module declarations from "numpy" */


/* Module declarations from "postprocessing" */


/* Module declarations from "cpostprocessing" */

/* #### Code section: typeinfo ### */

static const __Pyx_TypeInfo __Pyx_TypeInfo_int = { "int", NULL, sizeof(int), { 0 }, 0, __PYX_IS_UNSIGNED(int) ? 'U' : 'I', __PYX_IS_UNSIGNED(int), 0 };

/* #### Code section: before_global_var ### */

#define __Pyx_MODULE_NAME "cpostprocessing"

extern int __pyx_module_is_main_cpostprocessing;

int __pyx_module_is_main_cpostprocessing = 0;


/* Implementation of "cpostprocessing" */

/* #### Code section: global_var ### */

/* #### Code section: string_decls ### */

/* #### Code section: decls ### */

static PyObject *__pyx_pf_15cpostprocessing_postProcessRT0velocityFromP1nc(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_nFreeDOF_element, PyArrayObject *__pyx_v_freeLocal_element, PyArrayObject *__pyx_v_detJ, PyArrayObject *__pyx_v_sqrt_det_g, PyArrayObject *__pyx_v_n, PyArrayObject *__pyx_v_elementBarycenters, PyArrayObject *__pyx_v_quad_a, PyArrayObject *__pyx_v_quad_f, PyArrayObject *__pyx_v_w_dV_r, PyArrayObject *__pyx_v_u, PyArrayObject *__pyx_v_gradu, PyArrayObject *__pyx_v_a, PyArrayObject *__pyx_v_f, PyArrayObject *__pyx_v_r, PyArrayObject *__pyx_v_rt0vdofs, PyArrayObject *__pyx_v_w_dV_m, PyArrayObject *__pyx_v_mt); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_2postProcessRT0velocityFromP1nc_sd(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_rowptr, PyArrayObject *__pyx_v_colind, PyArrayObject *__pyx_v_nFreeDOF_element, PyArrayObject *__pyx_v_freeLocal_element, PyArrayObject *__pyx_v_detJ, PyArrayObject *__pyx_v_sqrt_det_g, PyArrayObject *__pyx_v_n, PyArrayObject *__pyx_v_elementBarycenters, PyArrayObject *__pyx_v_quad_a, PyArrayObject *__pyx_v_quad_f, PyArrayObject *__pyx_v_w_dV_r, PyArrayObject *__pyx_v_u, PyArrayObject *__pyx_v_gradu, PyArrayObject *__pyx_v_a, PyArrayObject *__pyx_v_f, PyArrayObject *__pyx_v_r, PyArrayObject *__pyx_v_rt0vdofs, PyArrayObject *__pyx_v_w_dV_m, PyArrayObject *__pyx_v_mt); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_4updateRT0velocityWithAveragedPotentialP1nc(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_detJ, PyArrayObject *__pyx_v_quad_a, PyArrayObject *__pyx_v_phi, PyArrayObject *__pyx_v_gradphi, PyArrayObject *__pyx_v_a, PyArrayObject *__pyx_v_rt0vdofs_element); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_6updateRT0velocityWithAveragedPotentialP1nc_sd(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_rowptr, PyArrayObject *__pyx_v_colind, PyArrayObject *__pyx_v_detJ, PyArrayObject *__pyx_v_quad_a, PyArrayObject *__pyx_v_phi, PyArrayObject *__pyx_v_gradphi, PyArrayObject *__pyx_v_a, PyArrayObject *__pyx_v_rt0vdofs_element); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_8getElementRT0velocityValues(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_x_element, PyArrayObject *__pyx_v_rt0vdofs_element, PyArrayObject *__pyx_v_v_element); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_10getElementBoundaryRT0velocityValues(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_x_elementBoundary, PyArrayObject *__pyx_v_rt0vdofs_element, PyArrayObject *__pyx_v_v_elementBoundary); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_12getGlobalElementBoundaryRT0velocityValues(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_elementBoundaryElementsArray, PyArrayObject *__pyx_v_x_elementBoundary_global, PyArrayObject *__pyx_v_rt0vdofs_element, PyArrayObject *__pyx_v_v_elementBoundary_global); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_14getGlobalExteriorElementBoundaryRT0velocityValues(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_exteriorElementBoundariesArray, PyArrayObject *__pyx_v_elementBoundaryElementsArray, PyArrayObject *__pyx_v_x_elementBoundary_global, PyArrayObject *__pyx_v_rt0vdofs_element, PyArrayObject *__pyx_v_v_elementBoundary_global); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_16postProcessRT0potentialFromP1nc(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_uQuadratureWeights_element, PyArrayObject *__pyx_v_elementBarycenters, PyArrayObject *__pyx_v_aElementQuadWeights, PyArrayObject *__pyx_v_detJ, CYTHON_UNUSED PyArrayObject *__pyx_v_uQuadratureWeights_elementBoundary, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_u, PyArrayObject *__pyx_v_gradu, PyArrayObject *__pyx_v_x_elementBoundary, PyArrayObject *__pyx_v_u_elementBoundary, PyArrayObject *__pyx_v_n, PyArrayObject *__pyx_v_a, PyArrayObject *__pyx_v_f, PyArrayObject *__pyx_v_r, PyArrayObject *__pyx_v_rt0vdofs, PyArrayObject *__pyx_v_rt0potential); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_18postProcessRT0potentialFromP1nc_sd(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_rowptr, PyArrayObject *__pyx_v_colind, PyArrayObject *__pyx_v_uQuadratureWeights_element, PyArrayObject *__pyx_v_elementBarycenters, PyArrayObject *__pyx_v_aElementQuadWeights, PyArrayObject *__pyx_v_detJ, CYTHON_UNUSED PyArrayObject *__pyx_v_uQuadratureWeights_elementBoundary, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_u, PyArrayObject *__pyx_v_gradu, PyArrayObject *__pyx_v_x_elementBoundary, PyArrayObject *__pyx_v_u_elementBoundary, PyArrayObject *__pyx_v_n, PyArrayObject *__pyx_v_a, PyArrayObject *__pyx_v_f, PyArrayObject *__pyx_v_r, PyArrayObject *__pyx_v_rt0vdofs, PyArrayObject *__pyx_v_rt0potential); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_20buildLocalBDM1projectionMatrices(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_w_dS_f, PyArrayObject *__pyx_v_ebq_n, PyArrayObject *__pyx_v_ebq_v, PyArrayObject *__pyx_v_BDMmat_element); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_22buildLocalBDM2projectionMatrices(CYTHON_UNUSED PyObject *__pyx_self, int __pyx_v_degree, PyArrayObject *__pyx_v_w_dS_f, PyArrayObject *__pyx_v_ebq_n, PyArrayObject *__pyx_v_ebq_v, PyArrayObject *__pyx_v_q_basis_vals, PyArrayObject *__pyx_v_w_int_test_grads, PyArrayObject *__pyx_v_w_int_div_free, PyArrayObject *__pyx_v_piola_trial_fun, PyArrayObject *__pyx_v_edgeFlags, PyArrayObject *__pyx_v_BDMmat_element); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_24factorLocalBDM1projectionMatrices(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_BDMmat_element, PyArrayObject *__pyx_v_BDMmatPivots_element); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_26factorLocalBDM2projectionMatrices(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_BDMmat_element, PyArrayObject *__pyx_v_BDMmatPivots_element); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_28solveLocalBDM1projection(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_BDMmat_element, PyArrayObject *__pyx_v_BDMmatPivots_element, PyArrayObject *__pyx_v_w_dS_f, PyArrayObject *__pyx_v_ebq_n, PyArrayObject *__pyx_v_ebq_velocity, PyArrayObject *__pyx_v_q_vdofs); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_30solveLocalBDM2projection(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_BDMmat_element, PyArrayObject *__pyx_v_BDMmatPivots_element, PyArrayObject *__pyx_v_w_dS_f, PyArrayObject *__pyx_v_ebq_n, PyArrayObject *__pyx_v_w_interior_gradients, PyArrayObject *__pyx_v_ebq_velocity, PyArrayObject *__pyx_v_q_velocity, PyArrayObject *__pyx_v_q_vdofs); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_32buildBDM2rhs(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_BDMmat_element, PyArrayObject *__pyx_v_BDMmatPivots_element, PyArrayObject *__pyx_v_w_dS_f, PyArrayObject *__pyx_v_ebq_n, PyArrayObject *__pyx_v_w_interior_gradients, PyArrayObject *__pyx_v_w_interior_divfree, PyArrayObject *__pyx_v_ebq_velocity, PyArrayObject *__pyx_v_q_velocity, PyArrayObject *__pyx_v_q_vdofs, PyArrayObject *__pyx_v_edgeFlags); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_34solveLocalBDM1projectionFromFlux(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_BDMmat_element, PyArrayObject *__pyx_v_BDMmatPivots_element, PyArrayObject *__pyx_v_elementBoundaryElementsArray, PyArrayObject *__pyx_v_elementBoundariesArray, PyArrayObject *__pyx_v_w_dS_f, PyArrayObject *__pyx_v_ebq_global_flux, PyArrayObject *__pyx_v_q_vdofs); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_36getElementBDM1velocityValuesLagrangeRep(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_q_v, PyArrayObject *__pyx_v_p1_vdofs, PyArrayObject *__pyx_v_q_velocity); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_38getElementBDM2velocityValuesLagrangeRep(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_q_v, PyArrayObject *__pyx_v_p1_vdofs, PyArrayObject *__pyx_v_q_velocity); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_40getElementLDGvelocityValuesLagrangeRep(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_q_v, PyArrayObject *__pyx_v_vdofs, PyArrayObject *__pyx_v_q_velocity); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_42getGlobalExteriorElementBoundaryBDM1velocityValuesLagrangeRep(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_elementBoundaryElementsArray, PyArrayObject *__pyx_v_exteriorElementBoundariesArray, PyArrayObject *__pyx_v_ebqe_v, PyArrayObject *__pyx_v_p1_vdofs, PyArrayObject *__pyx_v_ebqe_velocity); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_44getGlobalElementBoundaryBDM1velocityValuesLagrangeRep(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_elementBoundaryElementsArray, PyArrayObject *__pyx_v_exteriorElementBoundariesArray, PyArrayObject *__pyx_v_ebqe_v, PyArrayObject *__pyx_v_p1_vdofs, PyArrayObject *__pyx_v_ebq_global_velocity); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_46getElementBoundaryBDM1velocityValuesLagrangeRep(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_elementBoundaryElementsArray, PyArrayObject *__pyx_v_exteriorElementBoundariesArray, PyArrayObject *__pyx_v_ebq_v, PyArrayObject *__pyx_v_p1_vdofs, PyArrayObject *__pyx_v_ebq_velocity); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_48projectElementBoundaryVelocityToRT0fluxRep(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_elementBoundaryQuadratureWeights, PyArrayObject *__pyx_v_n, PyArrayObject *__pyx_v_v_elementBoundary, PyArrayObject *__pyx_v_rt0vdofs_element); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_50projectElementBoundaryFluxToRT0fluxRep(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_elementBoundaryElementsArray, PyArrayObject *__pyx_v_elementBoundariesArray, PyArrayObject *__pyx_v_elementBoundaryQuadratureWeights, PyArrayObject *__pyx_v_flux_elementBoundary, PyArrayObject *__pyx_v_rt0vdofs_element); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_52getElementRT0velocityValuesFluxRep(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_nodeArray, PyArrayObject *__pyx_v_elementNodesArray, PyArrayObject *__pyx_v_abs_det_J, PyArrayObject *__pyx_v_x_element, PyArrayObject *__pyx_v_rt0vdofs_element, PyArrayObject *__pyx_v_v_element); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_54getElementBoundaryRT0velocityValuesFluxRep(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_nodeArray, PyArrayObject *__pyx_v_elementNodesArray, PyArrayObject *__pyx_v_abs_det_J, PyArrayObject *__pyx_v_x_elementBoundary, PyArrayObject *__pyx_v_rt0vdofs_element, PyArrayObject *__pyx_v_v_elementBoundary); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_56getGlobalElementBoundaryRT0velocityValuesFluxRep(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_nodeArray, PyArrayObject *__pyx_v_elementNodesArray, PyArrayObject *__pyx_v_elementBoundaryElementsArray, PyArrayObject *__pyx_v_abs_det_J, PyArrayObject *__pyx_v_x_elementBoundary_global, PyArrayObject *__pyx_v_rt0vdofs_element, PyArrayObject *__pyx_v_v_elementBoundary_global); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_58getGlobalExteriorElementBoundaryRT0velocityValuesFluxRep(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_nodeArray, PyArrayObject *__pyx_v_elementNodesArray, PyArrayObject *__pyx_v_elementBoundaryElementsArray, PyArrayObject *__pyx_v_exteriorElementBoundariesArray, PyArrayObject *__pyx_v_abs_det_J, PyArrayObject *__pyx_v_x_ebqe, PyArrayObject *__pyx_v_rt0vdofs_element, PyArrayObject *__pyx_v_v_ebqe); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_60getRT0velocityValuesFluxRep_arbitraryElementMembership(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_nodeArray, PyArrayObject *__pyx_v_elementNodesArray, PyArrayObject *__pyx_v_abs_det_J, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_element_locations, PyArrayObject *__pyx_v_rt0vdofs_element, PyArrayObject *__pyx_v_v_element); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_62fluxCorrectionVelocityUpdate(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_interiorElementBoundaries, PyArrayObject *__pyx_v_exteriorElementBoundaries, PyArrayObject *__pyx_v_elementBoundaryElements, PyArrayObject *__pyx_v_elementBoundaryLocalElementBoundaries, PyArrayObject *__pyx_v_dS, PyArrayObject *__pyx_v_n, PyArrayObject *__pyx_v_fluxCorrection, PyArrayObject *__pyx_v_velocity, PyArrayObject *__pyx_v_velocity_element); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_64computeFluxCorrectionPWC(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_interiorElementBoundaries, PyArrayObject *__pyx_v_exteriorElementBoundaries, PyArrayObject *__pyx_v_elementBoundaryElements, PyArrayObject *__pyx_v_pwcW, PyArrayObject *__pyx_v_pwcV, PyArrayObject *__pyx_v_fluxCorrection); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_66sunWheelerGSsweep(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_interiorElementBoundaries, PyArrayObject *__pyx_v_exteriorElementBoundaries, PyArrayObject *__pyx_v_elementBoundaryElements, PyArrayObject *__pyx_v_elementBoundaryLocalElementBoundaries, PyArrayObject *__pyx_v_dS, PyArrayObject *__pyx_v_n, PyArrayObject *__pyx_v_sqrt_det_g, PyArrayObject *__pyx_v_alphaFactor, PyArrayObject *__pyx_v_fluxCorrection, PyArrayObject *__pyx_v_conservationResidual); /* proto */

static int __pyx_pf_15cpostprocessing_14NodeStarFactor___cinit__(struct __pyx_obj_15cpostprocessing_NodeStarFactor *__pyx_v_self, PyArrayObject *__pyx_v_nElements_node, PyArrayObject *__pyx_v_nodeStarElementsArray, PyArrayObject *__pyx_v_nodeStarElementsNeighborsArray); /* proto */

static void __pyx_pf_15cpostprocessing_14NodeStarFactor_2__dealloc__(struct __pyx_obj_15cpostprocessing_NodeStarFactor *__pyx_v_self); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_14NodeStarFactor_4setU(struct __pyx_obj_15cpostprocessing_NodeStarFactor *__pyx_v_self, double __pyx_v_val); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_14NodeStarFactor_6copyData(struct __pyx_obj_15cpostprocessing_NodeStarFactor *__pyx_v_self, struct __pyx_obj_15cpostprocessing_NodeStarFactor *__pyx_v_other); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_14NodeStarFactor_8__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_15cpostprocessing_NodeStarFactor *__pyx_v_self); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_14NodeStarFactor_10__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_15cpostprocessing_NodeStarFactor *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_68calculateConservationResidualPWL(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_interiorElementBoundaries, PyArrayObject *__pyx_v_exteriorElementBoundaries, PyArrayObject *__pyx_v_elementBoundaryElements, PyArrayObject *__pyx_v_elementBoundaryLocalElementBoundaries, PyArrayObject *__pyx_v_elementNodes, PyArrayObject *__pyx_v_dofMapl2g, PyArrayObject *__pyx_v_nodeStarElements, PyArrayObject *__pyx_v_nodeStarElementNeighbors, PyArrayObject *__pyx_v_nElements_node, PyArrayObject *__pyx_v_fluxElementBoundaries, PyArrayObject *__pyx_v_elementResidual, PyArrayObject *__pyx_v_vAverage, PyArrayObject *__pyx_v_dx, PyArrayObject *__pyx_v_w, PyArrayObject *__pyx_v_n, struct __pyx_obj_15cpostprocessing_NodeStarFactor *__pyx_v_nodeStarFactor, PyArrayObject *__pyx_v_conservationResidual, PyArrayObject *__pyx_v_vConservative, PyArrayObject *__pyx_v_vConservative_element); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_70calculateConservationJacobianPWL(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_interiorElementBoundaries, PyArrayObject *__pyx_v_exteriorElementBoundaries, PyArrayObject *__pyx_v_elementBoundaryElements, PyArrayObject *__pyx_v_elementBoundaryLocalElementBoundaries, PyArrayObject *__pyx_v_elementNodes, PyArrayObject *__pyx_v_dofMapl2g, PyArrayObject *__pyx_v_dofStarElements, PyArrayObject *__pyx_v_dofStarElementNeighbors, PyArrayObject *__pyx_v_nElements_dof, PyArrayObject *__pyx_v_internalNodes, PyArrayObject *__pyx_v_fluxElementBoundaries, PyArrayObject *__pyx_v_fluxBoundaryNodes, PyArrayObject *__pyx_v_w, PyArrayObject *__pyx_v_n, struct __pyx_obj_15cpostprocessing_NodeStarFactor *__pyx_v_nodeStarFactor); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_72calculateConservationFluxPWL(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_nElements_node, PyArrayObject *__pyx_v_internalNodes, PyArrayObject *__pyx_v_fluxBoundaryNodes, struct __pyx_obj_15cpostprocessing_NodeStarFactor *__pyx_v_nodeStarFactor); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_74calculateConservationFluxPWL_noNeumannFix(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_nElements_node, struct __pyx_obj_15cpostprocessing_NodeStarFactor *__pyx_v_nodeStarFactor); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_76calculateConservationResidualPWL_opt(CYTHON_UNUSED PyObject *__pyx_self, int __pyx_v_nNodes_owned, PyArrayObject *__pyx_v_interiorElementBoundaries, PyArrayObject *__pyx_v_exteriorElementBoundaries, PyArrayObject *__pyx_v_elementBoundaryElements, PyArrayObject *__pyx_v_elementBoundaryLocalElementBoundaries, PyArrayObject *__pyx_v_elementNodes, PyArrayObject *__pyx_v_nodeStarElements, PyArrayObject *__pyx_v_nodeStarElementNeighbors, PyArrayObject *__pyx_v_nElements_node, PyArrayObject *__pyx_v_fluxElementBoundaries, PyArrayObject *__pyx_v_elementResidual, PyArrayObject *__pyx_v_vAverage, PyArrayObject *__pyx_v_dx, PyArrayObject *__pyx_v_w, PyArrayObject *__pyx_v_n, struct __pyx_obj_15cpostprocessing_NodeStarFactor *__pyx_v_nodeStarFactor, PyArrayObject *__pyx_v_conservationResidual, PyArrayObject *__pyx_v_vConservative, PyArrayObject *__pyx_v_vConservative_element); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_78calculateConservationResidualPWL_primative(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_interiorElementBoundaries, PyArrayObject *__pyx_v_exteriorElementBoundaries, PyArrayObject *__pyx_v_elementBoundaryElements, PyArrayObject *__pyx_v_elementBoundaryLocalElementBoundaries, PyArrayObject *__pyx_v_skipflag_elementBoundaries, PyArrayObject *__pyx_v_elementResidual, PyArrayObject *__pyx_v_dx, PyArrayObject *__pyx_v_n, PyArrayObject *__pyx_v_conservationResidual, PyArrayObject *__pyx_v_vConservative); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_80calculateConservationJacobianPWL_opt(CYTHON_UNUSED PyObject *__pyx_self, int __pyx_v_nNodes_owned, PyArrayObject *__pyx_v_interiorElementBoundaries, PyArrayObject *__pyx_v_exteriorElementBoundaries, PyArrayObject *__pyx_v_elementBoundaryElements, PyArrayObject *__pyx_v_elementBoundaryLocalElementBoundaries, PyArrayObject *__pyx_v_elementNodes, PyArrayObject *__pyx_v_nodeStarElements, PyArrayObject *__pyx_v_nodeStarElementNeighbors, PyArrayObject *__pyx_v_nElements_node, PyArrayObject *__pyx_v_internalNodes, PyArrayObject *__pyx_v_fluxElementBoundaries, PyArrayObject *__pyx_v_fluxBoundaryNodes, PyArrayObject *__pyx_v_w, PyArrayObject *__pyx_v_n, struct __pyx_obj_15cpostprocessing_NodeStarFactor *__pyx_v_nodeStarFactor); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_82calculateConservationFluxPWL_opt(CYTHON_UNUSED PyObject *__pyx_self, int __pyx_v_nNodes_owned, PyArrayObject *__pyx_v_nElements_node, PyArrayObject *__pyx_v_internalNodes, PyArrayObject *__pyx_v_fluxBoundaryNodes, struct __pyx_obj_15cpostprocessing_NodeStarFactor *__pyx_v_nodeStarFactor); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_84calculateConservationResidualPWL_interiorBoundaries(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_interiorElementBoundaries, PyArrayObject *__pyx_v_exteriorElementBoundaries, PyArrayObject *__pyx_v_elementBoundaryElements, PyArrayObject *__pyx_v_elementBoundaryLocalElementBoundaries, PyArrayObject *__pyx_v_elementNodes, PyArrayObject *__pyx_v_nodeStarElements, PyArrayObject *__pyx_v_nodeStarElementNeighbors, PyArrayObject *__pyx_v_nElements_node, PyArrayObject *__pyx_v_fluxElementBoundaries, PyArrayObject *__pyx_v_elementResidual, PyArrayObject *__pyx_v_vAverage, PyArrayObject *__pyx_v_dx, PyArrayObject *__pyx_v_w, PyArrayObject *__pyx_v_n, struct __pyx_obj_15cpostprocessing_NodeStarFactor *__pyx_v_nodeStarFactor, PyArrayObject *__pyx_v_conservationResidual, PyArrayObject *__pyx_v_vConservative, PyArrayObject *__pyx_v_vConservative_element); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_86calculateConservationJacobianPWL_interiorBoundaries(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_interiorElementBoundaries, PyArrayObject *__pyx_v_exteriorElementBoundaries, PyArrayObject *__pyx_v_elementBoundaryElements, PyArrayObject *__pyx_v_elementBoundaryLocalElementBoundaries, PyArrayObject *__pyx_v_elementNodes, PyArrayObject *__pyx_v_nodeStarElements, PyArrayObject *__pyx_v_nodeStarElementNeighbors, PyArrayObject *__pyx_v_nElements_node, PyArrayObject *__pyx_v_fluxElementBoundaries, PyArrayObject *__pyx_v_w, PyArrayObject *__pyx_v_n, struct __pyx_obj_15cpostprocessing_NodeStarFactor *__pyx_v_nodeStarFactor); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_88_subdomain_U_copy_global2local(CYTHON_UNUSED PyObject *__pyx_self, int __pyx_v_max_nN_owned, PyArrayObject *__pyx_v_elementNodes, PyArrayObject *__pyx_v_nodeStarElements, struct __pyx_obj_15cpostprocessing_NodeStarFactor *__pyx_v_nodeStarFactor, PyArrayObject *__pyx_v_subdomain_U); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_90_subdomain_U_copy_local2global(CYTHON_UNUSED PyObject *__pyx_self, int __pyx_v_max_nN_owned, PyArrayObject *__pyx_v_elementNodes, PyArrayObject *__pyx_v_nodeStarElements, struct __pyx_obj_15cpostprocessing_NodeStarFactor *__pyx_v_nodeStarFactor, PyArrayObject *__pyx_v_subdomain_U); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_92calculateConservationResidualGlobalBoundaries(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_interiorElementBoundaries, PyArrayObject *__pyx_v_exteriorElementBoundaries, PyArrayObject *__pyx_v_elementBoundaryElements, PyArrayObject *__pyx_v_elementBoundaryLocalElementBoundaries, PyArrayObject *__pyx_v_exteriorElementBoundariesToSkip, PyArrayObject *__pyx_v_dS, PyArrayObject *__pyx_v_n, PyArrayObject *__pyx_v_elementResidual, PyArrayObject *__pyx_v_velocity, PyArrayObject *__pyx_v_conservationResidual); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_94updateSelectedExteriorElementBoundaryFlux(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_exteriorElementBoundaries, PyArrayObject *__pyx_v_elementBoundaryElements, PyArrayObject *__pyx_v_elementBoundaryLocalElementBoundaries, PyArrayObject *__pyx_v_skipflag_elementBoundaries, PyArrayObject *__pyx_v_flux, PyArrayObject *__pyx_v_w, PyArrayObject *__pyx_v_residual); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_96updateAdvectiveVelocityPointEval(CYTHON_UNUSED PyObject *__pyx_self, double __pyx_v_updateCoef, PyArrayObject *__pyx_v_advectiveVelocity, PyArrayObject *__pyx_v_velocity); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_98updateDiffusiveVelocityPointEval(CYTHON_UNUSED PyObject *__pyx_self, double __pyx_v_updateCoef, PyArrayObject *__pyx_v_diffusionTensor, PyArrayObject *__pyx_v_grad_phi, PyArrayObject *__pyx_v_velocity); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_100updateDiffusiveVelocityPointEval_sd(CYTHON_UNUSED PyObject *__pyx_self, double __pyx_v_updateCoef, PyArrayObject *__pyx_v_rowptr, PyArrayObject *__pyx_v_colind, PyArrayObject *__pyx_v_diffusionTensor, PyArrayObject *__pyx_v_grad_phi, PyArrayObject *__pyx_v_velocity); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_102calculateElementResidualPWL(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_alpha, PyArrayObject *__pyx_v_elementResidual, PyArrayObject *__pyx_v_elementResidualPWL); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_104copyElementBoundaryVelocityToParVec(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_ebq_velocity, PyArrayObject *__pyx_v_permutations, PyArrayObject *__pyx_v_ebq_v_par_local); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_106addAverageToParVec(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_ebq_velocityAverage, PyArrayObject *__pyx_v_permutations, PyArrayObject *__pyx_v_ebq_v_par_local); /* proto */

static PyObject *__pyx_pf_15cpostprocessing_108copyParVecToElementBoundaryVelocity(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_ebq_velocity, PyArrayObject *__pyx_v_permutations, PyArrayObject *__pyx_v_ebq_v_par_local); /* proto */

static PyObject *__pyx_tp_new__initialisation_15cpostprocessing_NodeStarFactor(PyObject *o,

#if CYTHON_VECTORCALL_TPNEW

    PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames

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); /*proto*/

static PyObject *__pyx_tp_new_vectorcall_15cpostprocessing_NodeStarFactor(PyTypeObject *t,

#if CYTHON_VECTORCALL_TPNEW

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#else

    PyObject *a, PyObject *k

#endif

); /*proto*/

#if CYTHON_VECTORCALL_TPNEW

static PyObject *__pyx_tp_new_15cpostprocessing_NodeStarFactor(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/

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#define __pyx_tp_new_15cpostprocessing_NodeStarFactor __pyx_tp_new_vectorcall_15cpostprocessing_NodeStarFactor

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static PyObject *__pyx_tp_vectorcall_15cpostprocessing_NodeStarFactor(PyObject *t, PyObject *const *args, size_t nargsf, PyObject *kwnames); /*proto*/

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#define __pyx_n_u_alpha __pyx_string_tab[45]

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#define __pyx_n_u_calculateConservationFluxPWL __pyx_string_tab[51]

#define __pyx_n_u_calculateConservationFluxPWL_noN __pyx_string_tab[52]

#define __pyx_n_u_calculateConservationFluxPWL_opt __pyx_string_tab[53]

#define __pyx_n_u_calculateConservationJacobianPWL __pyx_string_tab[54]

#define __pyx_n_u_calculateConservationJacobianPWL_3 __pyx_string_tab[55]

#define __pyx_n_u_calculateConservationJacobianPWL_2 __pyx_string_tab[56]

#define __pyx_n_u_calculateConservationResidualGlo __pyx_string_tab[57]

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#define __pyx_n_u_factorLocalBDM1projectionMatrice __pyx_string_tab[105]

#define __pyx_n_u_factorLocalBDM2projectionMatrice __pyx_string_tab[106]

#define __pyx_n_u_flux __pyx_string_tab[107]

#define __pyx_n_u_fluxBoundaryNodes __pyx_string_tab[108]

#define __pyx_n_u_fluxCorrection __pyx_string_tab[109]

#define __pyx_n_u_fluxCorrectionVelocityUpdate __pyx_string_tab[110]

#define __pyx_n_u_fluxElementBoundaries __pyx_string_tab[111]

#define __pyx_n_u_flux_elementBoundary __pyx_string_tab[112]

#define __pyx_n_u_freeLocal_element __pyx_string_tab[113]

#define __pyx_n_u_getElementBDM1velocityValuesLagr __pyx_string_tab[114]

#define __pyx_n_u_getElementBDM2velocityValuesLagr __pyx_string_tab[115]

#define __pyx_n_u_getElementBoundaryBDM1velocityVa __pyx_string_tab[116]

#define __pyx_n_u_getElementBoundaryRT0velocityVal __pyx_string_tab[117]

#define __pyx_n_u_getElementBoundaryRT0velocityVal_2 __pyx_string_tab[118]

#define __pyx_n_u_getElementLDGvelocityValuesLagra __pyx_string_tab[119]

#define __pyx_n_u_getElementRT0velocityValues __pyx_string_tab[120]

#define __pyx_n_u_getElementRT0velocityValuesFluxR __pyx_string_tab[121]

#define __pyx_n_u_getGlobalElementBoundaryBDM1velo __pyx_string_tab[122]

#define __pyx_n_u_getGlobalElementBoundaryRT0veloc __pyx_string_tab[123]

#define __pyx_n_u_getGlobalElementBoundaryRT0veloc_2 __pyx_string_tab[124]

#define __pyx_n_u_getGlobalExteriorElementBoundary_2 __pyx_string_tab[125]

#define __pyx_n_u_getGlobalExteriorElementBoundary __pyx_string_tab[126]

#define __pyx_n_u_getGlobalExteriorElementBoundary_3 __pyx_string_tab[127]

#define __pyx_n_u_getRT0velocityValuesFluxRep_arbi __pyx_string_tab[128]

#define __pyx_n_u_grad_phi __pyx_string_tab[129]

#define __pyx_n_u_gradphi __pyx_string_tab[130]

#define __pyx_n_u_gradu __pyx_string_tab[131]

#define __pyx_n_u_i __pyx_string_tab[132]

#define __pyx_n_u_interiorElementBoundaries __pyx_string_tab[133]

#define __pyx_n_u_internalNodes __pyx_string_tab[134]

#define __pyx_n_u_items __pyx_string_tab[135]

#define __pyx_n_u_k __pyx_string_tab[136]

#define __pyx_n_u_max_nN_owned __pyx_string_tab[137]

#define __pyx_n_u_mt __pyx_string_tab[138]

#define __pyx_n_u_n __pyx_string_tab[139]

#define __pyx_n_u_nDOF_trial_element __pyx_string_tab[140]

#define __pyx_n_u_nElementBoundaries __pyx_string_tab[141]

#define __pyx_n_u_nElements_dof __pyx_string_tab[142]

#define __pyx_n_u_nElements_node __pyx_string_tab[143]

#define __pyx_n_u_nFreeDOF_element __pyx_string_tab[144]

#define __pyx_n_u_nNodes_owned __pyx_string_tab[145]

#define __pyx_n_u_nPoints __pyx_string_tab[146]

#define __pyx_n_u_nQuadraturePoints __pyx_string_tab[147]

#define __pyx_n_u_nSpace __pyx_string_tab[148]

#define __pyx_n_u_nVDOF_element __pyx_string_tab[149]

#define __pyx_n_u_nVDOFs_element __pyx_string_tab[150]

#define __pyx_n_u_nodeArray __pyx_string_tab[151]

#define __pyx_n_u_nodeStarElementNeighbors __pyx_string_tab[152]

#define __pyx_n_u_nodeStarElements __pyx_string_tab[153]

#define __pyx_n_u_nodeStarElementsArray __pyx_string_tab[154]

#define __pyx_n_u_nodeStarElementsNeighborsArray __pyx_string_tab[155]

#define __pyx_n_u_nodeStarFactor __pyx_string_tab[156]

#define __pyx_n_u_np __pyx_string_tab[157]

#define __pyx_n_u_numpy __pyx_string_tab[158]

#define __pyx_n_u_other __pyx_string_tab[159]

#define __pyx_n_u_p1_vdofs __pyx_string_tab[160]

#define __pyx_n_u_permutations __pyx_string_tab[161]

#define __pyx_n_u_phi __pyx_string_tab[162]

#define __pyx_n_u_piola_trial_fun __pyx_string_tab[163]

#define __pyx_n_u_pop __pyx_string_tab[164]

#define __pyx_n_u_postProcessRT0potentialFromP1nc __pyx_string_tab[165]

#define __pyx_n_u_postProcessRT0potentialFromP1nc_2 __pyx_string_tab[166]

#define __pyx_n_u_postProcessRT0velocityFromP1nc __pyx_string_tab[167]

#define __pyx_n_u_postProcessRT0velocityFromP1nc_s __pyx_string_tab[168]

#define __pyx_n_u_projectElementBoundaryFluxToRT0f __pyx_string_tab[169]

#define __pyx_n_u_projectElementBoundaryVelocityTo __pyx_string_tab[170]

#define __pyx_n_u_pwcV __pyx_string_tab[171]

#define __pyx_n_u_pwcW __pyx_string_tab[172]

#define __pyx_n_u_q_basis_vals __pyx_string_tab[173]

#define __pyx_n_u_q_v __pyx_string_tab[174]

#define __pyx_n_u_q_vdofs __pyx_string_tab[175]

#define __pyx_n_u_q_velocity __pyx_string_tab[176]

#define __pyx_n_u_quad_a __pyx_string_tab[177]

#define __pyx_n_u_quad_f __pyx_string_tab[178]

#define __pyx_n_u_r __pyx_string_tab[179]

#define __pyx_n_u_residual __pyx_string_tab[180]

#define __pyx_n_u_rowptr __pyx_string_tab[181]

#define __pyx_n_u_rt0potential __pyx_string_tab[182]

#define __pyx_n_u_rt0vdofs __pyx_string_tab[183]

#define __pyx_n_u_rt0vdofs_element __pyx_string_tab[184]

#define __pyx_n_u_self __pyx_string_tab[185]

#define __pyx_n_u_setU __pyx_string_tab[186]

#define __pyx_n_u_setdefault __pyx_string_tab[187]

#define __pyx_n_u_skipflag_elementBoundaries __pyx_string_tab[188]

#define __pyx_n_u_solveLocalBDM1projection __pyx_string_tab[189]

#define __pyx_n_u_solveLocalBDM1projectionFromFlux __pyx_string_tab[190]

#define __pyx_n_u_solveLocalBDM2projection __pyx_string_tab[191]

#define __pyx_n_u_sqrt_det_g __pyx_string_tab[192]

#define __pyx_n_u_subdomain_U __pyx_string_tab[193]

#define __pyx_n_u_sunWheelerGSsweep __pyx_string_tab[194]

#define __pyx_n_u_u __pyx_string_tab[195]

#define __pyx_n_u_uQuadratureWeights_element __pyx_string_tab[196]

#define __pyx_n_u_uQuadratureWeights_elementBounda __pyx_string_tab[197]

#define __pyx_n_u_u_elementBoundary __pyx_string_tab[198]

#define __pyx_n_u_updateAdvectiveVelocityPointEval __pyx_string_tab[199]

#define __pyx_n_u_updateCoef __pyx_string_tab[200]

#define __pyx_n_u_updateDiffusiveVelocityPointEval __pyx_string_tab[201]

#define __pyx_n_u_updateDiffusiveVelocityPointEval_2 __pyx_string_tab[202]

#define __pyx_n_u_updateRT0velocityWithAveragedPot __pyx_string_tab[203]

#define __pyx_n_u_updateRT0velocityWithAveragedPot_2 __pyx_string_tab[204]

#define __pyx_n_u_updateSelectedExteriorElementBou __pyx_string_tab[205]

#define __pyx_n_u_vAverage __pyx_string_tab[206]

#define __pyx_n_u_vConservative __pyx_string_tab[207]

#define __pyx_n_u_vConservative_element __pyx_string_tab[208]

#define __pyx_n_u_v_ebqe __pyx_string_tab[209]

#define __pyx_n_u_v_element __pyx_string_tab[210]

#define __pyx_n_u_v_elementBoundary __pyx_string_tab[211]

#define __pyx_n_u_v_elementBoundary_global __pyx_string_tab[212]

#define __pyx_n_u_val __pyx_string_tab[213]

#define __pyx_n_u_values __pyx_string_tab[214]

#define __pyx_n_u_vdofs __pyx_string_tab[215]

#define __pyx_n_u_velocity __pyx_string_tab[216]

#define __pyx_n_u_velocity_element __pyx_string_tab[217]

#define __pyx_n_u_w __pyx_string_tab[218]

#define __pyx_n_u_w_dS_f __pyx_string_tab[219]

#define __pyx_n_u_w_dV_m __pyx_string_tab[220]

#define __pyx_n_u_w_dV_r __pyx_string_tab[221]

#define __pyx_n_u_w_int_div_free __pyx_string_tab[222]

#define __pyx_n_u_w_int_test_grads __pyx_string_tab[223]

#define __pyx_n_u_w_interior_divfree __pyx_string_tab[224]

#define __pyx_n_u_w_interior_gradients __pyx_string_tab[225]

#define __pyx_n_u_x __pyx_string_tab[226]

#define __pyx_n_u_x_ebqe __pyx_string_tab[227]

#define __pyx_n_u_x_element __pyx_string_tab[228]

#define __pyx_n_u_x_elementBoundary __pyx_string_tab[229]

#define __pyx_n_u_x_elementBoundary_global __pyx_string_tab[230]

#define __pyx_kp_b_iso88591_Q __pyx_string_tab[231]

#define __pyx_kp_b_iso88591_vQa_7vQa_3_00DA __pyx_string_tab[232]

#define __pyx_kp_b_iso88591_0_vQa18_a12 __pyx_string_tab[233]

#define __pyx_kp_b_iso88591_z_q_3a_6_S_xvRq_c_q_az_q_9_q_9 __pyx_string_tab[234]

#define __pyx_kp_b_iso88591_xuBhfAXU_1_AQ_5V1HE_77H_7xq __pyx_string_tab[235]

#define __pyx_kp_b_iso88591_E_q_6_V2Q_S_6_AZvQa_Qj_aq_8_aq __pyx_string_tab[236]

#define __pyx_kp_b_iso88591_j_ar_V1Baq_xvRq_c_q_az_q_6fAQ_6 __pyx_string_tab[237]

#define __pyx_kp_b_iso88591_9F_1_F_1_F_1_Ya_Q_Ya __pyx_string_tab[238]

#define __pyx_kp_b_iso88591_2_5V1A_U__A_q __pyx_string_tab[239]

#define __pyx_kp_b_iso88591_F_1_F_1_F_1_F_1_55Fa_55EQ_55Fa __pyx_string_tab[240]

#define __pyx_kp_b_iso88591_xuBhfAXU_1_AQ_5V1HE_7_a_7xq_7xq __pyx_string_tab[241]

#define __pyx_kp_b_iso88591_1N_1_q_A_1 __pyx_string_tab[242]

#define __pyx_kp_b_iso88591_q_V1A_V1A_V1A_V1A_fAQ_V1A_6fAQ __pyx_string_tab[243]

#define __pyx_kp_b_iso88591_1_1I_qPQ1I_qPQ1I_qPQ188TTU1_SST __pyx_string_tab[244]

#define __pyx_kp_b_iso88591_2_6_236_236_236_2_2_AQ2_MQ2_LA __pyx_string_tab[245]

#define __pyx_kp_b_iso88591_l_2_q_1_xvRq_c_q_vQa_GvQa_GvQa __pyx_string_tab[246]

#define __pyx_kp_b_iso88591_m6_Bm6_AQ_xvRq_c_q_DA_RXXYYZERR __pyx_string_tab[247]

#define __pyx_kp_b_iso88591_1_q_OvUVVXXYYZ_xvRq_c_q_DAV6QRR __pyx_string_tab[248]

#define __pyx_kp_b_iso88591_AQ_0_aq_0_aq_L_A_nA __pyx_string_tab[249]

#define __pyx_kp_b_iso88591_q_6fAQ_5V1A_Q_A_q __pyx_string_tab[250]

#define __pyx_kp_b_iso88591_Q_NfTUUV_NfTUUV_NfTUUV_fAQ_55QQ __pyx_string_tab[251]

#define __pyx_kp_b_iso88591_9_9WW__9QQWWXXY9QQWWXXY9_9__9CC __pyx_string_tab[252]

#define __pyx_kp_b_iso88591_xuBhfAXU_1_q_08_axuAQ0107vQ07vQ __pyx_string_tab[253]

#define __pyx_kp_b_iso88591_vQa_fAQ_O6_uAQ_E_aq_U_1_AU_U_1E __pyx_string_tab[254]

#define __pyx_kp_b_iso88591_vQa_fAQ_O6_uAQ_E_aq_U_1_q_L_S_b __pyx_string_tab[255]

#define __pyx_kp_b_iso88591_vQa_fAQ_O6_Qa_E_aq_U_1_q_d_SSTT __pyx_string_tab[256]

#define __pyx_kp_b_iso88591_q_V1A_V1A_V1A_V1A_fAQ_fAQ_1_q_a __pyx_string_tab[257]

#define __pyx_kp_b_iso88591_q_7vQa_9_q_9_q_a_a_a __pyx_string_tab[258]

#define __pyx_kp_b_iso88591_6_6_36_36_36_4IQ_11B_4IQ_4IQ_44 __pyx_string_tab[259]

#define __pyx_kp_b_iso88591_2_6_fAQ_4F_7_q_7t1_7vQ_7s_7wa_7 __pyx_string_tab[260]

#define __pyx_kp_b_iso88591_2_2C6_2C6_2C6_2C6_2_6_2_IQ299J __pyx_string_tab[261]

#define __pyx_kp_b_iso88591_q_Rq_aq_Qa_Q_OvUVVW_OvUVVW_GvQa __pyx_string_tab[262]

#define __pyx_kp_b_iso88591_q_fAQ_fAQ_fAQ_fAQ_6fAQ_2_C1_K1 __pyx_string_tab[263]

#define __pyx_kp_b_iso88591_1_1J_PQQR12_12_12_188QQR188Oq18 __pyx_string_tab[264]

#define __pyx_kp_b_iso88591_8q8PPVVWWX8PPVVWWX8PPVVWWX8A_q __pyx_string_tab[265]

#define __pyx_kp_b_iso88591_q_V1A_V1A_V1A_V1A_fAQ_fAQ_1_q_a_2 __pyx_string_tab[266]

#define __pyx_kp_b_iso88591_5AQfAQ56fAQ5_F_7_qPQ5_F_5_F_5_t __pyx_string_tab[267]

#define __pyx_kp_b_iso88591_q_fAQ_FfAQ_FfAQ_I_qPQ_J_ST_GGXX __pyx_string_tab[268]

#define __pyx_kp_b_iso88591_1BfAQ_F_1_V1A_V1A_fAQ_fAQ_F_1_D __pyx_string_tab[269]

#define __pyx_kp_b_iso88591_1E_q_q_q_fAQ_q_aq_nA_q_9A_fA_e1 __pyx_string_tab[270]

#define __pyx_kp_b_iso88591_V1A_0_aq_2_2_6_6_9_9_7q_EQ_2Q_1 __pyx_string_tab[271]

#define __pyx_kp_b_iso88591_q_V1A_V1A_V1A_4F_1_V1A_fAQ_V1A __pyx_string_tab[272]

#define __pyx_kp_b_iso88591_2_F_12K6QRRS2K6QRRS24F_124F_12A __pyx_string_tab[273]

#define __pyx_kp_b_iso88591_5A5I_qPQ5NfTUUV5NfTUUV57vQa57vQ __pyx_string_tab[274]

#define __pyx_kp_b_iso88591_as_RRXXYYZ_qPQ_F_1_TTZZ_TTZZ_F __pyx_string_tab[275]

#define __pyx_kp_b_iso88591_q_V1A_5V1A_q_A_q_A_q_q_q_q_1_q __pyx_string_tab[276]

#define __pyx_kp_b_iso88591_1A_9_q_V1A_EV1A_EV1A_V1A_V1A_V1 __pyx_string_tab[277]

#define __pyx_kp_b_iso88591_s_d_vQa_vQa_0_aq_6_6_vQa_11A_11 __pyx_string_tab[278]

#define __pyx_kp_b_iso88591_aq_aq_aq_aq_aq_aq_11K1_11C1_11D __pyx_string_tab[279]

#define __pyx_kp_b_iso88591_s_U_gWA_AU_2_36_fAQ_fAQ_2_4F_4F __pyx_string_tab[280]

#define __pyx_kp_b_iso88591_as_RRXXYYZ_1F_1_TTZZ_TTZZ_F_1_F __pyx_string_tab[281]

#define __pyx_kp_b_iso88591_6_6_6_6_6_1_q_1_q_44Na_44Fa_44G __pyx_string_tab[282]

#define __pyx_kp_b_iso88591_q_q_A_q_A_q_q_q_q_1_q_q_H_H_Fa __pyx_string_tab[283]

#define __pyx_kp_b_iso88591_1A_V1A_EV1A_EV1A_V1A_V1A_V1A_V1 __pyx_string_tab[284]

#define __pyx_kp_b_iso88591_A_d_d_d_d_d_d_d_d_d_d_d_d_d_d __pyx_string_tab[285]

#define __pyx_kp_b_iso88591_A_E_at4q_U_4t_D_ARq_Q __pyx_string_tab[286]

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/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":230

 *

 *     ctypedef class numpy.dtype [object PyArray_Descr, check_size ignore]:

 *         @property             # <<<<<<<<<<<<<<

 *         cdef inline PyTypeObject* typeobj(self) noexcept nogil:

 *             return PyDataType_TYPEOBJ(self)

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static CYTHON_INLINE PyTypeObject *__pyx_f_5numpy_5dtype_7typeobj___get__(PyArray_Descr *__pyx_v_self) {

  PyTypeObject *__pyx_r;


  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":232

 *         @property

 *         cdef inline PyTypeObject* typeobj(self) noexcept nogil:

 *             return PyDataType_TYPEOBJ(self)             # <<<<<<<<<<<<<<

 *

 *         @property

*/

  {


    __pyx_r = PyDataType_TYPEOBJ(__pyx_v_self);

  }

  goto __pyx_L0;


  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":230

 *

 *     ctypedef class numpy.dtype [object PyArray_Descr, check_size ignore]:

 *         @property             # <<<<<<<<<<<<<<

 *         cdef inline PyTypeObject* typeobj(self) noexcept nogil:

 *             return PyDataType_TYPEOBJ(self)

*/


  /* function exit code */

  __pyx_L0:;

  return __pyx_r;

}


/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":234

 *             return PyDataType_TYPEOBJ(self)

 *

 *         @property             # <<<<<<<<<<<<<<

 *         cdef inline char kind(self) noexcept nogil:

 *             return PyDataType_KIND(self)

*/


static CYTHON_INLINE char __pyx_f_5numpy_5dtype_4kind___get__(PyArray_Descr *__pyx_v_self) {

  char __pyx_r;


  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":236

 *         @property

 *         cdef inline char kind(self) noexcept nogil:

 *             return PyDataType_KIND(self)             # <<<<<<<<<<<<<<

 *

 *         @property

*/

  {


    __pyx_r = PyDataType_KIND(__pyx_v_self);

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  goto __pyx_L0;


  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":234

 *             return PyDataType_TYPEOBJ(self)

 *

 *         @property             # <<<<<<<<<<<<<<

 *         cdef inline char kind(self) noexcept nogil:

 *             return PyDataType_KIND(self)

*/


  /* function exit code */

  __pyx_L0:;

  return __pyx_r;

}


/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":238

 *             return PyDataType_KIND(self)

 *

 *         @property             # <<<<<<<<<<<<<<

 *         cdef inline char type(self) noexcept nogil:

 *             return PyDataType_TYPE(self)

*/


static CYTHON_INLINE char __pyx_f_5numpy_5dtype_4type___get__(PyArray_Descr *__pyx_v_self) {

  char __pyx_r;


  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":240

 *         @property

 *         cdef inline char type(self) noexcept nogil:

 *             return PyDataType_TYPE(self)             # <<<<<<<<<<<<<<

 *

 *         # Numpy sometimes mutates this without warning (e.g. it'll

*/

  {


    __pyx_r = PyDataType_TYPE(__pyx_v_self);

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  goto __pyx_L0;


  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":238

 *             return PyDataType_KIND(self)

 *

 *         @property             # <<<<<<<<<<<<<<

 *         cdef inline char type(self) noexcept nogil:

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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":247

 *         # PyArray_IsNativeByteOrder(dtype.byteorder) instead of

 *         # directly accessing this field.

 *         @property             # <<<<<<<<<<<<<<

 *         cdef inline char byteorder(self) noexcept nogil:

 *             return PyDataType_BYTEORDER(self)

*/


static CYTHON_INLINE char __pyx_f_5numpy_5dtype_9byteorder___get__(PyArray_Descr *__pyx_v_self) {

  char __pyx_r;


  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":249

 *         @property

 *         cdef inline char byteorder(self) noexcept nogil:

 *             return PyDataType_BYTEORDER(self)             # <<<<<<<<<<<<<<

 *

 *         @property

*/

  {


    __pyx_r = PyDataType_BYTEORDER(__pyx_v_self);

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  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":247

 *         # PyArray_IsNativeByteOrder(dtype.byteorder) instead of

 *         # directly accessing this field.

 *         @property             # <<<<<<<<<<<<<<

 *         cdef inline char byteorder(self) noexcept nogil:

 *             return PyDataType_BYTEORDER(self)

*/


  /* function exit code */

  __pyx_L0:;

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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:

 *             return PyDataType_TYPENUM(self)

*/


static CYTHON_INLINE int __pyx_f_5numpy_5dtype_8type_num___get__(PyArray_Descr *__pyx_v_self) {

  int __pyx_r;


  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":253

 *         @property

 *         cdef inline int type_num(self) noexcept nogil:

 *             return PyDataType_TYPENUM(self)             # <<<<<<<<<<<<<<

 *

 *         @property

*/

  {


    __pyx_r = PyDataType_TYPENUM(__pyx_v_self);

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  goto __pyx_L0;


  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":251

 *             return PyDataType_BYTEORDER(self)

 *

 *         @property             # <<<<<<<<<<<<<<

 *         cdef inline int type_num(self) noexcept nogil:

 *             return PyDataType_TYPENUM(self)

*/


  /* function exit code */

  __pyx_L0:;

  return __pyx_r;

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/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":255

 *             return PyDataType_TYPENUM(self)

 *

 *         @property             # <<<<<<<<<<<<<<

 *         cdef inline npy_intp itemsize(self) noexcept nogil:

 *             return PyDataType_ELSIZE(self)

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static CYTHON_INLINE npy_intp __pyx_f_5numpy_5dtype_8itemsize___get__(PyArray_Descr *__pyx_v_self) {

  npy_intp __pyx_r;


  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":257

 *         @property

 *         cdef inline npy_intp itemsize(self) noexcept nogil:

 *             return PyDataType_ELSIZE(self)             # <<<<<<<<<<<<<<

 *

 *         @property

*/

  {


    __pyx_r = PyDataType_ELSIZE(__pyx_v_self);

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  goto __pyx_L0;


  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":255

 *             return PyDataType_TYPENUM(self)

 *

 *         @property             # <<<<<<<<<<<<<<

 *         cdef inline npy_intp itemsize(self) noexcept nogil:

 *             return PyDataType_ELSIZE(self)

*/


  /* function exit code */

  __pyx_L0:;

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/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":259

 *             return PyDataType_ELSIZE(self)

 *

 *         @property             # <<<<<<<<<<<<<<

 *         cdef inline npy_intp alignment(self) noexcept nogil:

 *             return PyDataType_ALIGNMENT(self)

*/


static CYTHON_INLINE npy_intp __pyx_f_5numpy_5dtype_9alignment___get__(PyArray_Descr *__pyx_v_self) {

  npy_intp __pyx_r;


  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":261

 *         @property

 *         cdef inline npy_intp alignment(self) noexcept nogil:

 *             return PyDataType_ALIGNMENT(self)             # <<<<<<<<<<<<<<

 *

 *         # Use fields/names with care as they may be NULL.  You must check

*/

  {


    __pyx_r = PyDataType_ALIGNMENT(__pyx_v_self);

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  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":259

 *             return PyDataType_ELSIZE(self)

 *

 *         @property             # <<<<<<<<<<<<<<

 *         cdef inline npy_intp alignment(self) noexcept nogil:

 *             return PyDataType_ALIGNMENT(self)

*/


  /* function exit code */

  __pyx_L0:;

  return __pyx_r;

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/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":265

 *         # Use fields/names with care as they may be NULL.  You must check

 *         # for this using PyDataType_HASFIELDS.

 *         @property             # <<<<<<<<<<<<<<

 *         cdef inline object fields(self):

 *             return <object>PyDataType_FIELDS(self)

*/


static CYTHON_INLINE PyObject *__pyx_f_5numpy_5dtype_6fields___get__(PyArray_Descr *__pyx_v_self) {

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  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":267

 *         @property

 *         cdef inline object fields(self):

 *             return <object>PyDataType_FIELDS(self)             # <<<<<<<<<<<<<<

 *

 *         @property

*/

  __pyx_t_1 = PyDataType_FIELDS(__pyx_v_self);


  {

    PyObject *__pyx_temp;

    {

      __pyx_temp = __pyx_r;

      __Pyx_INCREF(((PyObject *)__pyx_t_1));

      __pyx_r = ((PyObject *)__pyx_t_1);

    }

    __Pyx_XDECREF(__pyx_temp);

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  goto __pyx_L0;


  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":265

 *         # Use fields/names with care as they may be NULL.  You must check

 *         # for this using PyDataType_HASFIELDS.

 *         @property             # <<<<<<<<<<<<<<

 *         cdef inline object fields(self):

 *             return <object>PyDataType_FIELDS(self)

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  __pyx_L0:;

  __Pyx_XGIVEREF(__pyx_r);

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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):

 *             return <tuple>PyDataType_NAMES(self)

*/


static CYTHON_INLINE PyObject *__pyx_f_5numpy_5dtype_5names___get__(PyArray_Descr *__pyx_v_self) {

  PyObject *__pyx_r = NULL;

  __Pyx_RefNannyDeclarations

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  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":271

 *         @property

 *         cdef inline tuple names(self):

 *             return <tuple>PyDataType_NAMES(self)             # <<<<<<<<<<<<<<

 *

 *         # Use PyDataType_HASSUBARRAY to test whether this field is

*/

  __pyx_t_1 = PyDataType_NAMES(__pyx_v_self);


  {

    PyObject *__pyx_temp;

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      __pyx_temp = __pyx_r;

      __Pyx_INCREF(((PyObject*)__pyx_t_1));

      __pyx_r = ((PyObject*)__pyx_t_1);

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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):

 *             return <tuple>PyDataType_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:

 *             return PyDataType_SUBARRAY(self)

*/


static CYTHON_INLINE PyArray_ArrayDescr *__pyx_f_5numpy_5dtype_8subarray___get__(PyArray_Descr *__pyx_v_self) {

  PyArray_ArrayDescr *__pyx_r;


  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":278

 *         @property

 *         cdef inline PyArray_ArrayDescr* subarray(self) noexcept nogil:

 *             return PyDataType_SUBARRAY(self)             # <<<<<<<<<<<<<<

 *

 *         @property

*/

  {


    __pyx_r = PyDataType_SUBARRAY(__pyx_v_self);

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  goto __pyx_L0;


  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":276

 *         # valid (the pointer can be NULL). Most users should access

 *         # this field via the inline helper method PyDataType_SHAPE.

 *         @property             # <<<<<<<<<<<<<<

 *         cdef inline PyArray_ArrayDescr* subarray(self) noexcept nogil:

 *             return PyDataType_SUBARRAY(self)

*/


  /* function exit code */

  __pyx_L0:;

  return __pyx_r;

}


/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":280

 *             return PyDataType_SUBARRAY(self)

 *

 *         @property             # <<<<<<<<<<<<<<

 *         cdef inline npy_uint64 flags(self) noexcept nogil:

 *             """The data types flags."""

*/


static CYTHON_INLINE npy_uint64 __pyx_f_5numpy_5dtype_5flags___get__(PyArray_Descr *__pyx_v_self) {

  npy_uint64 __pyx_r;


  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":283

 *         cdef inline npy_uint64 flags(self) noexcept nogil:

 *             """The data types flags."""

 *             return PyDataType_FLAGS(self)             # <<<<<<<<<<<<<<

 *

 *

*/

  {


    __pyx_r = PyDataType_FLAGS(__pyx_v_self);

  }

  goto __pyx_L0;


  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":280

 *             return PyDataType_SUBARRAY(self)

 *

 *         @property             # <<<<<<<<<<<<<<

 *         cdef inline npy_uint64 flags(self) noexcept nogil:

 *             """The data types flags."""

*/


  /* function exit code */

  __pyx_L0:;

  return __pyx_r;

}


/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":292

 *     ctypedef class numpy.broadcast [object PyArrayMultiIterObject, check_size ignore]:

 *

 *         @property             # <<<<<<<<<<<<<<

 *         cdef inline int numiter(self) noexcept nogil:

 *             """The number of arrays that need to be broadcast to the same shape."""

*/


static CYTHON_INLINE int __pyx_f_5numpy_9broadcast_7numiter___get__(PyArrayMultiIterObject *__pyx_v_self) {

  int __pyx_r;


  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":295

 *         cdef inline int numiter(self) noexcept nogil:

 *             """The number of arrays that need to be broadcast to the same shape."""

 *             return PyArray_MultiIter_NUMITER(self)             # <<<<<<<<<<<<<<

 *

 *         @property

*/

  {


    __pyx_r = PyArray_MultiIter_NUMITER(__pyx_v_self);

  }

  goto __pyx_L0;


  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":292

 *     ctypedef class numpy.broadcast [object PyArrayMultiIterObject, check_size ignore]:

 *

 *         @property             # <<<<<<<<<<<<<<

 *         cdef inline int numiter(self) noexcept nogil:

 *             """The number of arrays that need to be broadcast to the same shape."""

*/


  /* function exit code */

  __pyx_L0:;

  return __pyx_r;

}


/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":297

 *             return PyArray_MultiIter_NUMITER(self)

 *

 *         @property             # <<<<<<<<<<<<<<

 *         cdef inline npy_intp size(self) noexcept nogil:

 *             """The total broadcasted size."""

*/


static CYTHON_INLINE npy_intp __pyx_f_5numpy_9broadcast_4size___get__(PyArrayMultiIterObject *__pyx_v_self) {

  npy_intp __pyx_r;


  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":300

 *         cdef inline npy_intp size(self) noexcept nogil:

 *             """The total broadcasted size."""

 *             return PyArray_MultiIter_SIZE(self)             # <<<<<<<<<<<<<<

 *

 *         @property

*/

  {


    __pyx_r = PyArray_MultiIter_SIZE(__pyx_v_self);

  }

  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

 *             return PyArray_MultiIter_INDEX(self)

 *

 *         @property             # <<<<<<<<<<<<<<

 *         cdef inline int nd(self) noexcept nogil:

 *             """The number of dimensions in 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":312

 *             return PyArray_MultiIter_NDIM(self)

 *

 *         @property             # <<<<<<<<<<<<<<

 *         cdef inline npy_intp* dimensions(self) noexcept nogil:

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    PyObject *data = NULL;

    #define __Pyx_DecompressString_UNUSED

    #define __Pyx_DecompressString_LZSS_UNUSED

    #endif

    PyObject **stringtab = __pyx_mstate->__pyx_string_tab;

    Py_ssize_t pos = 0;

    for (int i = 0; i < 231; i++) {

      Py_ssize_t bytes_length = str_length_index[i].length;

      PyObject *string = PyUnicode_DecodeUTF8(bytes + pos, bytes_length, NULL);

      if (likely(string) && i >= 12) PyUnicode_InternInPlace(&string);

      if (unlikely(!string)) {

        Py_XDECREF(data);

        __PYX_ERR(0, 1, __pyx_L1_error)

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      stringtab[i] = string;

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    for (int i = 231; i < 287; i++) {

      Py_ssize_t bytes_length = bytes_length_index[i-231].length;

      PyObject *string = PyBytes_FromStringAndSize(bytes + pos, bytes_length);

      stringtab[i] = string;

      pos += bytes_length;

      if (unlikely(!string)) {

        Py_XDECREF(data);

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        __PYX_ERR(0, 1, __pyx_L1_error)

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        if ((PY_SSIZE_T_MAX <= _Py_IMMORTAL_REFCNT_LOCAL)) break;

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        if (_Py_IsOwnedByCurrentThread(table[i]) && Py_REFCNT(table[i]) == 1)

        #else

        if (PyUnstable_Object_IsUniquelyReferenced(table[i]))

        #endif

        {

          Py_SET_REFCNT(table[i], ((Py_ssize_t)_Py_IMMORTAL_REFCNT_LOCAL + 1));

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        Py_SET_REFCNT(table[i], _Py_IMMORTAL_INITIAL_REFCNT);

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  return 0;

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}

/* #### Code section: init_codeobjects ### */

#ifdef __cplusplus

namespace {

#endif

typedef struct {

    unsigned int argcount : 5;

    unsigned int num_posonly_args : 1;

    unsigned int num_kwonly_args : 1;

    unsigned int nlocals : 5;

    unsigned int flags : 10;

    unsigned int first_line : 11;

} __Pyx_PyCode_New_function_description;

#ifdef __cplusplus

} /* anonymous namespace */

#endif

/* NewCodeObj.proto */

static PyObject* __Pyx_PyCode_New(

        const __Pyx_PyCode_New_function_description descr,

        PyObject * const *varnames,

        PyObject *filename,

        PyObject *funcname,

        PyObject *line_table,

        PyObject *tuple_dedup_map

);


static int __Pyx_CreateCodeObjects(__pyx_mstatetype *__pyx_mstate) {

  PyObject* tuple_dedup_map = PyDict_New();

  if (unlikely(!tuple_dedup_map)) return -1;

  {

    const __Pyx_PyCode_New_function_description descr = {17, 0, 0, 17, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 7};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_nFreeDOF_element, __pyx_mstate->__pyx_n_u_freeLocal_element, __pyx_mstate->__pyx_n_u_detJ, __pyx_mstate->__pyx_n_u_sqrt_det_g, __pyx_mstate->__pyx_n_u_n, __pyx_mstate->__pyx_n_u_elementBarycenters, __pyx_mstate->__pyx_n_u_quad_a, __pyx_mstate->__pyx_n_u_quad_f, __pyx_mstate->__pyx_n_u_w_dV_r, __pyx_mstate->__pyx_n_u_u, __pyx_mstate->__pyx_n_u_gradu, __pyx_mstate->__pyx_n_u_a, __pyx_mstate->__pyx_n_u_f, __pyx_mstate->__pyx_n_u_r, __pyx_mstate->__pyx_n_u_rt0vdofs, __pyx_mstate->__pyx_n_u_w_dV_m, __pyx_mstate->__pyx_n_u_mt};

    __pyx_mstate_global->__pyx_codeobj_tab[0] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_postProcessRT0velocityFromP1nc, __pyx_mstate->__pyx_kp_b_iso88591_s_d_vQa_vQa_0_aq_6_6_vQa_11A_11, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[0])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {19, 0, 0, 19, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 71};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_rowptr, __pyx_mstate->__pyx_n_u_colind, __pyx_mstate->__pyx_n_u_nFreeDOF_element, __pyx_mstate->__pyx_n_u_freeLocal_element, __pyx_mstate->__pyx_n_u_detJ, __pyx_mstate->__pyx_n_u_sqrt_det_g, __pyx_mstate->__pyx_n_u_n, __pyx_mstate->__pyx_n_u_elementBarycenters, __pyx_mstate->__pyx_n_u_quad_a, __pyx_mstate->__pyx_n_u_quad_f, __pyx_mstate->__pyx_n_u_w_dV_r, __pyx_mstate->__pyx_n_u_u, __pyx_mstate->__pyx_n_u_gradu, __pyx_mstate->__pyx_n_u_a, __pyx_mstate->__pyx_n_u_f, __pyx_mstate->__pyx_n_u_r, __pyx_mstate->__pyx_n_u_rt0vdofs, __pyx_mstate->__pyx_n_u_w_dV_m, __pyx_mstate->__pyx_n_u_mt};

    __pyx_mstate_global->__pyx_codeobj_tab[1] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_postProcessRT0velocityFromP1nc_s, __pyx_mstate->__pyx_kp_b_iso88591_s_U_gWA_AU_2_36_fAQ_fAQ_2_4F_4F, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[1])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {6, 0, 0, 6, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 141};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_detJ, __pyx_mstate->__pyx_n_u_quad_a, __pyx_mstate->__pyx_n_u_phi, __pyx_mstate->__pyx_n_u_gradphi, __pyx_mstate->__pyx_n_u_a, __pyx_mstate->__pyx_n_u_rt0vdofs_element};

    __pyx_mstate_global->__pyx_codeobj_tab[2] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_updateRT0velocityWithAveragedPot, __pyx_mstate->__pyx_kp_b_iso88591_2_6_fAQ_4F_7_q_7t1_7vQ_7s_7wa_7, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[2])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {8, 0, 0, 8, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 157};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_rowptr, __pyx_mstate->__pyx_n_u_colind, __pyx_mstate->__pyx_n_u_detJ, __pyx_mstate->__pyx_n_u_quad_a, __pyx_mstate->__pyx_n_u_phi, __pyx_mstate->__pyx_n_u_gradphi, __pyx_mstate->__pyx_n_u_a, __pyx_mstate->__pyx_n_u_rt0vdofs_element};

    __pyx_mstate_global->__pyx_codeobj_tab[3] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_updateRT0velocityWithAveragedPot_2, __pyx_mstate->__pyx_kp_b_iso88591_5AQfAQ56fAQ5_F_7_qPQ5_F_5_F_5_t, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[3])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 3, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 177};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_x_element, __pyx_mstate->__pyx_n_u_rt0vdofs_element, __pyx_mstate->__pyx_n_u_v_element};

    __pyx_mstate_global->__pyx_codeobj_tab[4] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_getElementRT0velocityValues, __pyx_mstate->__pyx_kp_b_iso88591_9F_1_F_1_F_1_Ya_Q_Ya, 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), 187};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_x_elementBoundary, __pyx_mstate->__pyx_n_u_rt0vdofs_element, __pyx_mstate->__pyx_n_u_v_elementBoundary};

    __pyx_mstate_global->__pyx_codeobj_tab[5] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_getElementBoundaryRT0velocityVal, __pyx_mstate->__pyx_kp_b_iso88591_F_1_F_1_F_1_F_1_55Fa_55EQ_55Fa, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[5])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {4, 0, 0, 4, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 198};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_elementBoundaryElementsArray, __pyx_mstate->__pyx_n_u_x_elementBoundary_global, __pyx_mstate->__pyx_n_u_rt0vdofs_element, __pyx_mstate->__pyx_n_u_v_elementBoundary_global};

    __pyx_mstate_global->__pyx_codeobj_tab[6] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_getGlobalElementBoundaryRT0veloc, __pyx_mstate->__pyx_kp_b_iso88591_1_1I_qPQ1I_qPQ1I_qPQ188TTU1_SST, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[6])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {5, 0, 0, 5, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 210};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_exteriorElementBoundariesArray, __pyx_mstate->__pyx_n_u_elementBoundaryElementsArray, __pyx_mstate->__pyx_n_u_x_elementBoundary_global, __pyx_mstate->__pyx_n_u_rt0vdofs_element, __pyx_mstate->__pyx_n_u_v_elementBoundary_global};

    __pyx_mstate_global->__pyx_codeobj_tab[7] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_getGlobalExteriorElementBoundary, __pyx_mstate->__pyx_kp_b_iso88591_9_9WW__9QQWWXXY9QQWWXXY9_9__9CC, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[7])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {16, 0, 0, 16, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 224};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_uQuadratureWeights_element, __pyx_mstate->__pyx_n_u_elementBarycenters, __pyx_mstate->__pyx_n_u_aElementQuadWeights, __pyx_mstate->__pyx_n_u_detJ, __pyx_mstate->__pyx_n_u_uQuadratureWeights_elementBounda, __pyx_mstate->__pyx_n_u_x, __pyx_mstate->__pyx_n_u_u, __pyx_mstate->__pyx_n_u_gradu, __pyx_mstate->__pyx_n_u_x_elementBoundary, __pyx_mstate->__pyx_n_u_u_elementBoundary, __pyx_mstate->__pyx_n_u_n, __pyx_mstate->__pyx_n_u_a, __pyx_mstate->__pyx_n_u_f, __pyx_mstate->__pyx_n_u_r, __pyx_mstate->__pyx_n_u_rt0vdofs, __pyx_mstate->__pyx_n_u_rt0potential};

    __pyx_mstate_global->__pyx_codeobj_tab[8] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_postProcessRT0potentialFromP1nc, __pyx_mstate->__pyx_kp_b_iso88591_aq_aq_aq_aq_aq_aq_11K1_11C1_11D, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[8])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {18, 0, 0, 18, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 262};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_rowptr, __pyx_mstate->__pyx_n_u_colind, __pyx_mstate->__pyx_n_u_uQuadratureWeights_element, __pyx_mstate->__pyx_n_u_elementBarycenters, __pyx_mstate->__pyx_n_u_aElementQuadWeights, __pyx_mstate->__pyx_n_u_detJ, __pyx_mstate->__pyx_n_u_uQuadratureWeights_elementBounda, __pyx_mstate->__pyx_n_u_x, __pyx_mstate->__pyx_n_u_u, __pyx_mstate->__pyx_n_u_gradu, __pyx_mstate->__pyx_n_u_x_elementBoundary, __pyx_mstate->__pyx_n_u_u_elementBoundary, __pyx_mstate->__pyx_n_u_n, __pyx_mstate->__pyx_n_u_a, __pyx_mstate->__pyx_n_u_f, __pyx_mstate->__pyx_n_u_r, __pyx_mstate->__pyx_n_u_rt0vdofs, __pyx_mstate->__pyx_n_u_rt0potential};

    __pyx_mstate_global->__pyx_codeobj_tab[9] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_postProcessRT0potentialFromP1nc_2, __pyx_mstate->__pyx_kp_b_iso88591_6_6_6_6_6_1_q_1_q_44Na_44Fa_44G, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[9])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {4, 0, 0, 4, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 304};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_w_dS_f, __pyx_mstate->__pyx_n_u_ebq_n, __pyx_mstate->__pyx_n_u_ebq_v, __pyx_mstate->__pyx_n_u_BDMmat_element};

    __pyx_mstate_global->__pyx_codeobj_tab[10] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_buildLocalBDM1projectionMatrices, __pyx_mstate->__pyx_kp_b_iso88591_q_V1A_V1A_V1A_V1A_fAQ_V1A_6fAQ, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[10])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {10, 0, 0, 10, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 320};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_degree, __pyx_mstate->__pyx_n_u_w_dS_f, __pyx_mstate->__pyx_n_u_ebq_n, __pyx_mstate->__pyx_n_u_ebq_v, __pyx_mstate->__pyx_n_u_q_basis_vals, __pyx_mstate->__pyx_n_u_w_int_test_grads, __pyx_mstate->__pyx_n_u_w_int_div_free, __pyx_mstate->__pyx_n_u_piola_trial_fun, __pyx_mstate->__pyx_n_u_edgeFlags, __pyx_mstate->__pyx_n_u_BDMmat_element};

    __pyx_mstate_global->__pyx_codeobj_tab[11] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_buildLocalBDM2projectionMatrices, __pyx_mstate->__pyx_kp_b_iso88591_q_V1A_V1A_V1A_4F_1_V1A_fAQ_V1A, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[11])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 2, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 350};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_BDMmat_element, __pyx_mstate->__pyx_n_u_BDMmatPivots_element};

    __pyx_mstate_global->__pyx_codeobj_tab[12] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_factorLocalBDM1projectionMatrice, __pyx_mstate->__pyx_kp_b_iso88591_vQa_7vQa_3_00DA, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[12])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 2, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 357};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_BDMmat_element, __pyx_mstate->__pyx_n_u_BDMmatPivots_element};

    __pyx_mstate_global->__pyx_codeobj_tab[13] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_factorLocalBDM2projectionMatrice, __pyx_mstate->__pyx_kp_b_iso88591_vQa_7vQa_3_00DA, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[13])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {6, 0, 0, 6, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 364};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_BDMmat_element, __pyx_mstate->__pyx_n_u_BDMmatPivots_element, __pyx_mstate->__pyx_n_u_w_dS_f, __pyx_mstate->__pyx_n_u_ebq_n, __pyx_mstate->__pyx_n_u_ebq_velocity, __pyx_mstate->__pyx_n_u_q_vdofs};

    __pyx_mstate_global->__pyx_codeobj_tab[14] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_solveLocalBDM1projection, __pyx_mstate->__pyx_kp_b_iso88591_q_V1A_V1A_V1A_V1A_fAQ_fAQ_1_q_a, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[14])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {8, 0, 0, 8, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 383};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_BDMmat_element, __pyx_mstate->__pyx_n_u_BDMmatPivots_element, __pyx_mstate->__pyx_n_u_w_dS_f, __pyx_mstate->__pyx_n_u_ebq_n, __pyx_mstate->__pyx_n_u_w_interior_gradients, __pyx_mstate->__pyx_n_u_ebq_velocity, __pyx_mstate->__pyx_n_u_q_velocity, __pyx_mstate->__pyx_n_u_q_vdofs};

    __pyx_mstate_global->__pyx_codeobj_tab[15] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_solveLocalBDM2projection, __pyx_mstate->__pyx_kp_b_iso88591_q_V1A_V1A_V1A_V1A_fAQ_fAQ_1_q_a_2, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[15])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {10, 0, 0, 10, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 406};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_BDMmat_element, __pyx_mstate->__pyx_n_u_BDMmatPivots_element, __pyx_mstate->__pyx_n_u_w_dS_f, __pyx_mstate->__pyx_n_u_ebq_n, __pyx_mstate->__pyx_n_u_w_interior_gradients, __pyx_mstate->__pyx_n_u_w_interior_divfree, __pyx_mstate->__pyx_n_u_ebq_velocity, __pyx_mstate->__pyx_n_u_q_velocity, __pyx_mstate->__pyx_n_u_q_vdofs, __pyx_mstate->__pyx_n_u_edgeFlags};

    __pyx_mstate_global->__pyx_codeobj_tab[16] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_buildBDM2rhs, __pyx_mstate->__pyx_kp_b_iso88591_1E_q_q_q_fAQ_q_aq_nA_q_9A_fA_e1, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[16])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {7, 0, 0, 7, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 435};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_BDMmat_element, __pyx_mstate->__pyx_n_u_BDMmatPivots_element, __pyx_mstate->__pyx_n_u_elementBoundaryElementsArray, __pyx_mstate->__pyx_n_u_elementBoundariesArray, __pyx_mstate->__pyx_n_u_w_dS_f, __pyx_mstate->__pyx_n_u_ebq_global_flux, __pyx_mstate->__pyx_n_u_q_vdofs};

    __pyx_mstate_global->__pyx_codeobj_tab[17] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_solveLocalBDM1projectionFromFlux, __pyx_mstate->__pyx_kp_b_iso88591_q_fAQ_fAQ_fAQ_fAQ_6fAQ_2_C1_K1, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[17])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 4, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 455};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_q_v, __pyx_mstate->__pyx_n_u_p1_vdofs, __pyx_mstate->__pyx_n_u_q_velocity, __pyx_mstate->__pyx_n_u_nVDOFs_element};

    __pyx_mstate_global->__pyx_codeobj_tab[18] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_getElementBDM1velocityValuesLagr, __pyx_mstate->__pyx_kp_b_iso88591_j_ar_V1Baq_xvRq_c_q_az_q_6fAQ_6, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[18])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 4, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 471};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_q_v, __pyx_mstate->__pyx_n_u_p1_vdofs, __pyx_mstate->__pyx_n_u_q_velocity, __pyx_mstate->__pyx_n_u_nVDOFs_element};

    __pyx_mstate_global->__pyx_codeobj_tab[19] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_getElementBDM2velocityValuesLagr, __pyx_mstate->__pyx_kp_b_iso88591_z_q_3a_6_S_xvRq_c_q_az_q_9_q_9, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[19])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 5, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 493};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_q_v, __pyx_mstate->__pyx_n_u_vdofs, __pyx_mstate->__pyx_n_u_q_velocity, __pyx_mstate->__pyx_n_u_nVDOF_element, __pyx_mstate->__pyx_n_u_nDOF_trial_element};

    __pyx_mstate_global->__pyx_codeobj_tab[20] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_getElementLDGvelocityValuesLagra, __pyx_mstate->__pyx_kp_b_iso88591_E_q_6_V2Q_S_6_AZvQa_Qj_aq_8_aq, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[20])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {5, 0, 0, 6, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 509};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_elementBoundaryElementsArray, __pyx_mstate->__pyx_n_u_exteriorElementBoundariesArray, __pyx_mstate->__pyx_n_u_ebqe_v, __pyx_mstate->__pyx_n_u_p1_vdofs, __pyx_mstate->__pyx_n_u_ebqe_velocity, __pyx_mstate->__pyx_n_u_nVDOFs_element};

    __pyx_mstate_global->__pyx_codeobj_tab[21] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_getGlobalExteriorElementBoundary_2, __pyx_mstate->__pyx_kp_b_iso88591_m6_Bm6_AQ_xvRq_c_q_DA_RXXYYZERR, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[21])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {5, 0, 0, 6, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 528};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_elementBoundaryElementsArray, __pyx_mstate->__pyx_n_u_exteriorElementBoundariesArray, __pyx_mstate->__pyx_n_u_ebqe_v, __pyx_mstate->__pyx_n_u_p1_vdofs, __pyx_mstate->__pyx_n_u_ebq_global_velocity, __pyx_mstate->__pyx_n_u_nVDOFs_element};

    __pyx_mstate_global->__pyx_codeobj_tab[22] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_getGlobalElementBoundaryBDM1velo, __pyx_mstate->__pyx_kp_b_iso88591_1_q_OvUVVXXYYZ_xvRq_c_q_DAV6QRR, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[22])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {5, 0, 0, 6, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 547};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_elementBoundaryElementsArray, __pyx_mstate->__pyx_n_u_exteriorElementBoundariesArray, __pyx_mstate->__pyx_n_u_ebq_v, __pyx_mstate->__pyx_n_u_p1_vdofs, __pyx_mstate->__pyx_n_u_ebq_velocity, __pyx_mstate->__pyx_n_u_nVDOFs_element};

    __pyx_mstate_global->__pyx_codeobj_tab[23] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_getElementBoundaryBDM1velocityVa, __pyx_mstate->__pyx_kp_b_iso88591_l_2_q_1_xvRq_c_q_vQa_GvQa_GvQa, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[23])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {4, 0, 0, 4, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 567};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_elementBoundaryQuadratureWeights, __pyx_mstate->__pyx_n_u_n, __pyx_mstate->__pyx_n_u_v_elementBoundary, __pyx_mstate->__pyx_n_u_rt0vdofs_element};

    __pyx_mstate_global->__pyx_codeobj_tab[24] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_projectElementBoundaryVelocityTo, __pyx_mstate->__pyx_kp_b_iso88591_2_6_236_236_236_2_2_AQ2_MQ2_LA, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[24])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {5, 0, 0, 5, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 580};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_elementBoundaryElementsArray, __pyx_mstate->__pyx_n_u_elementBoundariesArray, __pyx_mstate->__pyx_n_u_elementBoundaryQuadratureWeights, __pyx_mstate->__pyx_n_u_flux_elementBoundary, __pyx_mstate->__pyx_n_u_rt0vdofs_element};

    __pyx_mstate_global->__pyx_codeobj_tab[25] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_projectElementBoundaryFluxToRT0f, __pyx_mstate->__pyx_kp_b_iso88591_Q_NfTUUV_NfTUUV_NfTUUV_fAQ_55QQ, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[25])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {6, 0, 0, 6, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 595};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_nodeArray, __pyx_mstate->__pyx_n_u_elementNodesArray, __pyx_mstate->__pyx_n_u_abs_det_J, __pyx_mstate->__pyx_n_u_x_element, __pyx_mstate->__pyx_n_u_rt0vdofs_element, __pyx_mstate->__pyx_n_u_v_element};

    __pyx_mstate_global->__pyx_codeobj_tab[26] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_getElementRT0velocityValuesFluxR, __pyx_mstate->__pyx_kp_b_iso88591_6_6_36_36_36_4IQ_11B_4IQ_4IQ_44, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[26])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {6, 0, 0, 6, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 613};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_nodeArray, __pyx_mstate->__pyx_n_u_elementNodesArray, __pyx_mstate->__pyx_n_u_abs_det_J, __pyx_mstate->__pyx_n_u_x_elementBoundary, __pyx_mstate->__pyx_n_u_rt0vdofs_element, __pyx_mstate->__pyx_n_u_v_elementBoundary};

    __pyx_mstate_global->__pyx_codeobj_tab[27] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_getElementBoundaryRT0velocityVal_2, __pyx_mstate->__pyx_kp_b_iso88591_2_2C6_2C6_2C6_2C6_2_6_2_IQ299J, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[27])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {7, 0, 0, 7, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 631};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_nodeArray, __pyx_mstate->__pyx_n_u_elementNodesArray, __pyx_mstate->__pyx_n_u_elementBoundaryElementsArray, __pyx_mstate->__pyx_n_u_abs_det_J, __pyx_mstate->__pyx_n_u_x_elementBoundary_global, __pyx_mstate->__pyx_n_u_rt0vdofs_element, __pyx_mstate->__pyx_n_u_v_elementBoundary_global};

    __pyx_mstate_global->__pyx_codeobj_tab[28] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_getGlobalElementBoundaryRT0veloc_2, __pyx_mstate->__pyx_kp_b_iso88591_8q8PPVVWWX8PPVVWWX8PPVVWWX8A_q, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[28])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {8, 0, 0, 8, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 650};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_nodeArray, __pyx_mstate->__pyx_n_u_elementNodesArray, __pyx_mstate->__pyx_n_u_elementBoundaryElementsArray, __pyx_mstate->__pyx_n_u_exteriorElementBoundariesArray, __pyx_mstate->__pyx_n_u_abs_det_J, __pyx_mstate->__pyx_n_u_x_ebqe, __pyx_mstate->__pyx_n_u_rt0vdofs_element, __pyx_mstate->__pyx_n_u_v_ebqe};

    __pyx_mstate_global->__pyx_codeobj_tab[29] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_getGlobalExteriorElementBoundary_3, __pyx_mstate->__pyx_kp_b_iso88591_q_fAQ_FfAQ_FfAQ_I_qPQ_J_ST_GGXX, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[29])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {7, 0, 0, 8, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 671};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_nodeArray, __pyx_mstate->__pyx_n_u_elementNodesArray, __pyx_mstate->__pyx_n_u_abs_det_J, __pyx_mstate->__pyx_n_u_x, __pyx_mstate->__pyx_n_u_element_locations, __pyx_mstate->__pyx_n_u_rt0vdofs_element, __pyx_mstate->__pyx_n_u_v_element, __pyx_mstate->__pyx_n_u_nPoints};

    __pyx_mstate_global->__pyx_codeobj_tab[30] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_getRT0velocityValuesFluxRep_arbi, __pyx_mstate->__pyx_kp_b_iso88591_q_Rq_aq_Qa_Q_OvUVVW_OvUVVW_GvQa, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[30])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {9, 0, 0, 9, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 692};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_interiorElementBoundaries, __pyx_mstate->__pyx_n_u_exteriorElementBoundaries, __pyx_mstate->__pyx_n_u_elementBoundaryElements, __pyx_mstate->__pyx_n_u_elementBoundaryLocalElementBound, __pyx_mstate->__pyx_n_u_dS, __pyx_mstate->__pyx_n_u_n, __pyx_mstate->__pyx_n_u_fluxCorrection, __pyx_mstate->__pyx_n_u_velocity, __pyx_mstate->__pyx_n_u_velocity_element};

    __pyx_mstate_global->__pyx_codeobj_tab[31] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_fluxCorrectionVelocityUpdate, __pyx_mstate->__pyx_kp_b_iso88591_1BfAQ_F_1_V1A_V1A_fAQ_fAQ_F_1_D, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[31])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {6, 0, 0, 6, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 718};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_interiorElementBoundaries, __pyx_mstate->__pyx_n_u_exteriorElementBoundaries, __pyx_mstate->__pyx_n_u_elementBoundaryElements, __pyx_mstate->__pyx_n_u_pwcW, __pyx_mstate->__pyx_n_u_pwcV, __pyx_mstate->__pyx_n_u_fluxCorrection};

    __pyx_mstate_global->__pyx_codeobj_tab[32] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_computeFluxCorrectionPWC, __pyx_mstate->__pyx_kp_b_iso88591_q_7vQa_9_q_9_q_a_a_a, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[32])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {10, 0, 0, 10, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 734};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_interiorElementBoundaries, __pyx_mstate->__pyx_n_u_exteriorElementBoundaries, __pyx_mstate->__pyx_n_u_elementBoundaryElements, __pyx_mstate->__pyx_n_u_elementBoundaryLocalElementBound, __pyx_mstate->__pyx_n_u_dS, __pyx_mstate->__pyx_n_u_n, __pyx_mstate->__pyx_n_u_sqrt_det_g, __pyx_mstate->__pyx_n_u_alphaFactor, __pyx_mstate->__pyx_n_u_fluxCorrection, __pyx_mstate->__pyx_n_u_conservationResidual};

    __pyx_mstate_global->__pyx_codeobj_tab[33] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_sunWheelerGSsweep, __pyx_mstate->__pyx_kp_b_iso88591_V1A_0_aq_2_2_6_6_9_9_7q_EQ_2Q_1, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[33])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 4, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 794};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_val, __pyx_mstate->__pyx_n_u_I, __pyx_mstate->__pyx_n_u_i};

    __pyx_mstate_global->__pyx_codeobj_tab[34] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_setU, __pyx_mstate->__pyx_kp_b_iso88591_A_E_at4q_U_4t_D_ARq_Q, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[34])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 2, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 802};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_other};

    __pyx_mstate_global->__pyx_codeobj_tab[35] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_copyData, __pyx_mstate->__pyx_kp_b_iso88591_A_d_d_d_d_d_d_d_d_d_d_d_d_d_d, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[35])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self};

    __pyx_mstate_global->__pyx_codeobj_tab[36] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_tree_fragment, __pyx_mstate->__pyx_n_u_reduce_cython, __pyx_mstate->__pyx_kp_b_iso88591_Q, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[36])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 2, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 3};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_pyx_state};

    __pyx_mstate_global->__pyx_codeobj_tab[37] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_tree_fragment, __pyx_mstate->__pyx_n_u_setstate_cython, __pyx_mstate->__pyx_kp_b_iso88591_Q, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[37])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {19, 0, 0, 19, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 819};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_interiorElementBoundaries, __pyx_mstate->__pyx_n_u_exteriorElementBoundaries, __pyx_mstate->__pyx_n_u_elementBoundaryElements, __pyx_mstate->__pyx_n_u_elementBoundaryLocalElementBound, __pyx_mstate->__pyx_n_u_elementNodes, __pyx_mstate->__pyx_n_u_dofMapl2g, __pyx_mstate->__pyx_n_u_nodeStarElements, __pyx_mstate->__pyx_n_u_nodeStarElementNeighbors, __pyx_mstate->__pyx_n_u_nElements_node, __pyx_mstate->__pyx_n_u_fluxElementBoundaries, __pyx_mstate->__pyx_n_u_elementResidual, __pyx_mstate->__pyx_n_u_vAverage, __pyx_mstate->__pyx_n_u_dx, __pyx_mstate->__pyx_n_u_w, __pyx_mstate->__pyx_n_u_n, __pyx_mstate->__pyx_n_u_nodeStarFactor, __pyx_mstate->__pyx_n_u_conservationResidual, __pyx_mstate->__pyx_n_u_vConservative, __pyx_mstate->__pyx_n_u_vConservative_element};

    __pyx_mstate_global->__pyx_codeobj_tab[38] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_calculateConservationResidualPWL, __pyx_mstate->__pyx_kp_b_iso88591_q_q_A_q_A_q_q_q_q_1_q_q_H_H_Fa, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[38])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {15, 0, 0, 15, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 874};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_interiorElementBoundaries, __pyx_mstate->__pyx_n_u_exteriorElementBoundaries, __pyx_mstate->__pyx_n_u_elementBoundaryElements, __pyx_mstate->__pyx_n_u_elementBoundaryLocalElementBound, __pyx_mstate->__pyx_n_u_elementNodes, __pyx_mstate->__pyx_n_u_dofMapl2g, __pyx_mstate->__pyx_n_u_dofStarElements, __pyx_mstate->__pyx_n_u_dofStarElementNeighbors, __pyx_mstate->__pyx_n_u_nElements_dof, __pyx_mstate->__pyx_n_u_internalNodes, __pyx_mstate->__pyx_n_u_fluxElementBoundaries, __pyx_mstate->__pyx_n_u_fluxBoundaryNodes, __pyx_mstate->__pyx_n_u_w, __pyx_mstate->__pyx_n_u_n, __pyx_mstate->__pyx_n_u_nodeStarFactor};

    __pyx_mstate_global->__pyx_codeobj_tab[39] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_calculateConservationJacobianPWL, __pyx_mstate->__pyx_kp_b_iso88591_q_V1A_5V1A_q_A_q_A_q_q_q_q_1_q, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[39])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {4, 0, 0, 4, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 915};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_nElements_node, __pyx_mstate->__pyx_n_u_internalNodes, __pyx_mstate->__pyx_n_u_fluxBoundaryNodes, __pyx_mstate->__pyx_n_u_nodeStarFactor};

    __pyx_mstate_global->__pyx_codeobj_tab[40] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_calculateConservationFluxPWL, __pyx_mstate->__pyx_kp_b_iso88591_1N_1_q_A_1, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[40])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 2, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 926};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_nElements_node, __pyx_mstate->__pyx_n_u_nodeStarFactor};

    __pyx_mstate_global->__pyx_codeobj_tab[41] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_calculateConservationFluxPWL_noN, __pyx_mstate->__pyx_kp_b_iso88591_0_vQa18_a12, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[41])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {19, 0, 0, 19, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 932};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_nNodes_owned, __pyx_mstate->__pyx_n_u_interiorElementBoundaries, __pyx_mstate->__pyx_n_u_exteriorElementBoundaries, __pyx_mstate->__pyx_n_u_elementBoundaryElements, __pyx_mstate->__pyx_n_u_elementBoundaryLocalElementBound, __pyx_mstate->__pyx_n_u_elementNodes, __pyx_mstate->__pyx_n_u_nodeStarElements, __pyx_mstate->__pyx_n_u_nodeStarElementNeighbors, __pyx_mstate->__pyx_n_u_nElements_node, __pyx_mstate->__pyx_n_u_fluxElementBoundaries, __pyx_mstate->__pyx_n_u_elementResidual, __pyx_mstate->__pyx_n_u_vAverage, __pyx_mstate->__pyx_n_u_dx, __pyx_mstate->__pyx_n_u_w, __pyx_mstate->__pyx_n_u_n, __pyx_mstate->__pyx_n_u_nodeStarFactor, __pyx_mstate->__pyx_n_u_conservationResidual, __pyx_mstate->__pyx_n_u_vConservative, __pyx_mstate->__pyx_n_u_vConservative_element};

    __pyx_mstate_global->__pyx_codeobj_tab[42] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_calculateConservationResidualPWL_2, __pyx_mstate->__pyx_kp_b_iso88591_1A_V1A_EV1A_EV1A_V1A_V1A_V1A_V1, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[42])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {10, 0, 0, 10, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 978};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_interiorElementBoundaries, __pyx_mstate->__pyx_n_u_exteriorElementBoundaries, __pyx_mstate->__pyx_n_u_elementBoundaryElements, __pyx_mstate->__pyx_n_u_elementBoundaryLocalElementBound, __pyx_mstate->__pyx_n_u_skipflag_elementBoundaries, __pyx_mstate->__pyx_n_u_elementResidual, __pyx_mstate->__pyx_n_u_dx, __pyx_mstate->__pyx_n_u_n, __pyx_mstate->__pyx_n_u_conservationResidual, __pyx_mstate->__pyx_n_u_vConservative};

    __pyx_mstate_global->__pyx_codeobj_tab[43] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_calculateConservationResidualPWL_3, __pyx_mstate->__pyx_kp_b_iso88591_2_F_12K6QRRS2K6QRRS24F_124F_12A, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[43])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {15, 0, 0, 15, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1006};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_nNodes_owned, __pyx_mstate->__pyx_n_u_interiorElementBoundaries, __pyx_mstate->__pyx_n_u_exteriorElementBoundaries, __pyx_mstate->__pyx_n_u_elementBoundaryElements, __pyx_mstate->__pyx_n_u_elementBoundaryLocalElementBound, __pyx_mstate->__pyx_n_u_elementNodes, __pyx_mstate->__pyx_n_u_nodeStarElements, __pyx_mstate->__pyx_n_u_nodeStarElementNeighbors, __pyx_mstate->__pyx_n_u_nElements_node, __pyx_mstate->__pyx_n_u_internalNodes, __pyx_mstate->__pyx_n_u_fluxElementBoundaries, __pyx_mstate->__pyx_n_u_fluxBoundaryNodes, __pyx_mstate->__pyx_n_u_w, __pyx_mstate->__pyx_n_u_n, __pyx_mstate->__pyx_n_u_nodeStarFactor};

    __pyx_mstate_global->__pyx_codeobj_tab[44] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_calculateConservationJacobianPWL_2, __pyx_mstate->__pyx_kp_b_iso88591_1A_9_q_V1A_EV1A_EV1A_V1A_V1A_V1, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[44])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {5, 0, 0, 5, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1046};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_nNodes_owned, __pyx_mstate->__pyx_n_u_nElements_node, __pyx_mstate->__pyx_n_u_internalNodes, __pyx_mstate->__pyx_n_u_fluxBoundaryNodes, __pyx_mstate->__pyx_n_u_nodeStarFactor};

    __pyx_mstate_global->__pyx_codeobj_tab[45] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_calculateConservationFluxPWL_opt, __pyx_mstate->__pyx_kp_b_iso88591_q_6fAQ_5V1A_Q_A_q, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[45])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {18, 0, 0, 18, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1059};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_interiorElementBoundaries, __pyx_mstate->__pyx_n_u_exteriorElementBoundaries, __pyx_mstate->__pyx_n_u_elementBoundaryElements, __pyx_mstate->__pyx_n_u_elementBoundaryLocalElementBound, __pyx_mstate->__pyx_n_u_elementNodes, __pyx_mstate->__pyx_n_u_nodeStarElements, __pyx_mstate->__pyx_n_u_nodeStarElementNeighbors, __pyx_mstate->__pyx_n_u_nElements_node, __pyx_mstate->__pyx_n_u_fluxElementBoundaries, __pyx_mstate->__pyx_n_u_elementResidual, __pyx_mstate->__pyx_n_u_vAverage, __pyx_mstate->__pyx_n_u_dx, __pyx_mstate->__pyx_n_u_w, __pyx_mstate->__pyx_n_u_n, __pyx_mstate->__pyx_n_u_nodeStarFactor, __pyx_mstate->__pyx_n_u_conservationResidual, __pyx_mstate->__pyx_n_u_vConservative, __pyx_mstate->__pyx_n_u_vConservative_element};

    __pyx_mstate_global->__pyx_codeobj_tab[46] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_calculateConservationResidualPWL_4, __pyx_mstate->__pyx_kp_b_iso88591_as_RRXXYYZ_1F_1_TTZZ_TTZZ_F_1_F, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[46])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {12, 0, 0, 12, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1104};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_interiorElementBoundaries, __pyx_mstate->__pyx_n_u_exteriorElementBoundaries, __pyx_mstate->__pyx_n_u_elementBoundaryElements, __pyx_mstate->__pyx_n_u_elementBoundaryLocalElementBound, __pyx_mstate->__pyx_n_u_elementNodes, __pyx_mstate->__pyx_n_u_nodeStarElements, __pyx_mstate->__pyx_n_u_nodeStarElementNeighbors, __pyx_mstate->__pyx_n_u_nElements_node, __pyx_mstate->__pyx_n_u_fluxElementBoundaries, __pyx_mstate->__pyx_n_u_w, __pyx_mstate->__pyx_n_u_n, __pyx_mstate->__pyx_n_u_nodeStarFactor};

    __pyx_mstate_global->__pyx_codeobj_tab[47] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_calculateConservationJacobianPWL_3, __pyx_mstate->__pyx_kp_b_iso88591_as_RRXXYYZ_qPQ_F_1_TTZZ_TTZZ_F, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[47])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {5, 0, 0, 5, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1138};

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    __pyx_mstate_global->__pyx_codeobj_tab[48] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_subdomain_U_copy_global2local, __pyx_mstate->__pyx_kp_b_iso88591_AQ_0_aq_0_aq_L_A_nA, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[48])) goto bad;

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  {

    const __Pyx_PyCode_New_function_description descr = {5, 0, 0, 5, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1151};

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    __pyx_mstate_global->__pyx_codeobj_tab[49] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_subdomain_U_copy_local2global, __pyx_mstate->__pyx_kp_b_iso88591_AQ_0_aq_0_aq_L_A_nA, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[49])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {10, 0, 0, 10, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1164};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_interiorElementBoundaries, __pyx_mstate->__pyx_n_u_exteriorElementBoundaries, __pyx_mstate->__pyx_n_u_elementBoundaryElements, __pyx_mstate->__pyx_n_u_elementBoundaryLocalElementBound, __pyx_mstate->__pyx_n_u_exteriorElementBoundariesToSkip, __pyx_mstate->__pyx_n_u_dS, __pyx_mstate->__pyx_n_u_n, __pyx_mstate->__pyx_n_u_elementResidual, __pyx_mstate->__pyx_n_u_velocity, __pyx_mstate->__pyx_n_u_conservationResidual};

    __pyx_mstate_global->__pyx_codeobj_tab[50] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_calculateConservationResidualGlo, __pyx_mstate->__pyx_kp_b_iso88591_5A5I_qPQ5NfTUUV5NfTUUV57vQa57vQ, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[50])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {7, 0, 0, 7, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1192};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_exteriorElementBoundaries, __pyx_mstate->__pyx_n_u_elementBoundaryElements, __pyx_mstate->__pyx_n_u_elementBoundaryLocalElementBound, __pyx_mstate->__pyx_n_u_skipflag_elementBoundaries, __pyx_mstate->__pyx_n_u_flux, __pyx_mstate->__pyx_n_u_w, __pyx_mstate->__pyx_n_u_residual};

    __pyx_mstate_global->__pyx_codeobj_tab[51] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_updateSelectedExteriorElementBou, __pyx_mstate->__pyx_kp_b_iso88591_1_1J_PQQR12_12_12_188QQR188Oq18, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[51])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 4, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1211};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_updateCoef, __pyx_mstate->__pyx_n_u_advectiveVelocity, __pyx_mstate->__pyx_n_u_velocity, __pyx_mstate->__pyx_n_u_nPoints};

    __pyx_mstate_global->__pyx_codeobj_tab[52] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_updateAdvectiveVelocityPointEval, __pyx_mstate->__pyx_kp_b_iso88591_xuBhfAXU_1_AQ_5V1HE_77H_7xq, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[52])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {4, 0, 0, 5, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1221};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_updateCoef, __pyx_mstate->__pyx_n_u_diffusionTensor, __pyx_mstate->__pyx_n_u_grad_phi, __pyx_mstate->__pyx_n_u_velocity, __pyx_mstate->__pyx_n_u_nPoints};

    __pyx_mstate_global->__pyx_codeobj_tab[53] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_updateDiffusiveVelocityPointEval, __pyx_mstate->__pyx_kp_b_iso88591_xuBhfAXU_1_AQ_5V1HE_7_a_7xq_7xq, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[53])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {6, 0, 0, 7, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1233};

    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_updateCoef, __pyx_mstate->__pyx_n_u_rowptr, __pyx_mstate->__pyx_n_u_colind, __pyx_mstate->__pyx_n_u_diffusionTensor, __pyx_mstate->__pyx_n_u_grad_phi, __pyx_mstate->__pyx_n_u_velocity, __pyx_mstate->__pyx_n_u_nPoints};

    __pyx_mstate_global->__pyx_codeobj_tab[54] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_updateDiffusiveVelocityPointEval_2, __pyx_mstate->__pyx_kp_b_iso88591_xuBhfAXU_1_q_08_axuAQ0107vQ07vQ, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[54])) goto bad;

  }

  {

    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 3, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1249};

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    __pyx_mstate_global->__pyx_codeobj_tab[55] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_cpostprocessing_pyx, __pyx_mstate->__pyx_n_u_calculateElementResidualPWL, __pyx_mstate->__pyx_kp_b_iso88591_2_5V1A_U__A_q, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[55])) goto bad;

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  {

    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 9, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1259};

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  {

    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 9, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1273};

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    }

}

static int __Pyx_PyErr_GivenExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {

    Py_ssize_t i, n;

    assert(PyExceptionClass_Check(exc_type));

    n = PyTuple_GET_SIZE(tuple);

    for (i=0; i<n; i++) {

        if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;

    }

    for (i=0; i<n; i++) {

        PyObject *t = PyTuple_GET_ITEM(tuple, i);

        if (likely(PyExceptionClass_Check(t))) {

            if (__Pyx_inner_PyErr_GivenExceptionMatches2(exc_type, NULL, t)) return 1;

        } else {

        }

    }

    return 0;

}

static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject* exc_type) {

    if (likely(err == exc_type)) return 1;

    if (likely(PyExceptionClass_Check(err))) {

        if (likely(PyExceptionClass_Check(exc_type))) {

            return __Pyx_inner_PyErr_GivenExceptionMatches2(err, NULL, exc_type);

        } else if (likely(PyTuple_Check(exc_type))) {

            return __Pyx_PyErr_GivenExceptionMatchesTuple(err, exc_type);

        } else {

        }

    }

    return PyErr_GivenExceptionMatches(err, exc_type);

}

static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *exc_type1, PyObject *exc_type2) {

    assert(PyExceptionClass_Check(exc_type1));

    assert(PyExceptionClass_Check(exc_type2));

    if (likely(err == exc_type1 || err == exc_type2)) return 1;

    if (likely(PyExceptionClass_Check(err))) {

        return __Pyx_inner_PyErr_GivenExceptionMatches2(err, exc_type1, exc_type2);

    }

    return (PyErr_GivenExceptionMatches(err, exc_type1) || PyErr_GivenExceptionMatches(err, exc_type2));

}

#endif


/* PyErrExceptionMatches */

#if CYTHON_FAST_THREAD_STATE

static int __Pyx_PyErr_ExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {

    Py_ssize_t i, n;

    n = PyTuple_GET_SIZE(tuple);

    for (i=0; i<n; i++) {

        if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;

    }

    for (i=0; i<n; i++) {

        if (__Pyx_PyErr_GivenExceptionMatches(exc_type, PyTuple_GET_ITEM(tuple, i))) return 1;

    }

    return 0;

}

static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err) {

    int result;

    PyObject *exc_type;

#if PY_VERSION_HEX >= 0x030C00A6

    PyObject *current_exception = tstate->current_exception;

    if (unlikely(!current_exception)) return 0;

    exc_type = (PyObject*) Py_TYPE(current_exception);

    if (exc_type == err) return 1;

#else

    exc_type = tstate->curexc_type;

    if (exc_type == err) return 1;

    if (unlikely(!exc_type)) return 0;

#endif

    #if CYTHON_AVOID_BORROWED_REFS

    Py_INCREF(exc_type);

    #endif

    if (unlikely(PyTuple_Check(err))) {

        result = __Pyx_PyErr_ExceptionMatchesTuple(exc_type, err);

    } else {

        result = __Pyx_PyErr_GivenExceptionMatches(exc_type, err);

    }

    #if CYTHON_AVOID_BORROWED_REFS

    Py_DECREF(exc_type);

    #endif

    return result;

}

#endif


/* GetException */

#if CYTHON_FAST_THREAD_STATE

static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb)

#else

static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb)

#endif

{

    PyObject *local_type = NULL, *local_value, *local_tb = NULL;

#if CYTHON_FAST_THREAD_STATE

    PyObject *tmp_type, *tmp_value, *tmp_tb;

  #if PY_VERSION_HEX >= 0x030C0000

    local_value = tstate->current_exception;

    tstate->current_exception = 0;

  #else

    local_type = tstate->curexc_type;

    local_value = tstate->curexc_value;

    local_tb = tstate->curexc_traceback;

    tstate->curexc_type = 0;

    tstate->curexc_value = 0;

    tstate->curexc_traceback = 0;

  #endif

#elif __PYX_LIMITED_VERSION_HEX >= 0x030C0000

    local_value = PyErr_GetRaisedException();

#else

    PyErr_Fetch(&local_type, &local_value, &local_tb);

#endif

#if __PYX_LIMITED_VERSION_HEX >= 0x030C0000

    if (likely(local_value)) {

        local_type = (PyObject*) Py_TYPE(local_value);

        Py_INCREF(local_type);

        local_tb = PyException_GetTraceback(local_value);

    }

#else

    PyErr_NormalizeException(&local_type, &local_value, &local_tb);

#if CYTHON_FAST_THREAD_STATE

    if (unlikely(tstate->curexc_type))

#else

    if (unlikely(PyErr_Occurred()))

#endif

        goto bad;

    if (local_tb) {

        if (unlikely(PyException_SetTraceback(local_value, local_tb) < 0))

            goto bad;

    }

#endif // __PYX_LIMITED_VERSION_HEX >= 0x030C0000

    Py_XINCREF(local_tb);

    Py_XINCREF(local_type);

    Py_XINCREF(local_value);

    *type = local_type;

    *value = local_value;

    *tb = local_tb;

#if CYTHON_FAST_THREAD_STATE

    #if CYTHON_USE_EXC_INFO_STACK

    {

        _PyErr_StackItem *exc_info = tstate->exc_info;

      #if PY_VERSION_HEX >= 0x030B00a4

        tmp_value = exc_info->exc_value;

        exc_info->exc_value = local_value;

        tmp_type = NULL;

        tmp_tb = NULL;

        Py_XDECREF(local_type);

        Py_XDECREF(local_tb);

      #else

        tmp_type = exc_info->exc_type;

        tmp_value = exc_info->exc_value;

        tmp_tb = exc_info->exc_traceback;

        exc_info->exc_type = local_type;

        exc_info->exc_value = local_value;

        exc_info->exc_traceback = local_tb;

      #endif

    }

    #else

    tmp_type = tstate->exc_type;

    tmp_value = tstate->exc_value;

    tmp_tb = tstate->exc_traceback;

    tstate->exc_type = local_type;

    tstate->exc_value = local_value;

    tstate->exc_traceback = local_tb;

    #endif

    Py_XDECREF(tmp_type);

    Py_XDECREF(tmp_value);

    Py_XDECREF(tmp_tb);

#elif __PYX_LIMITED_VERSION_HEX >= 0x030b0000

    PyErr_SetHandledException(local_value);

    Py_XDECREF(local_value);

    Py_XDECREF(local_type);

    Py_XDECREF(local_tb);

#else

    PyErr_SetExcInfo(local_type, local_value, local_tb);

#endif

    return 0;

#if __PYX_LIMITED_VERSION_HEX < 0x030C0000

bad:

    *type = 0;

    *value = 0;

    *tb = 0;

    Py_XDECREF(local_type);

    Py_XDECREF(local_value);

    Py_XDECREF(local_tb);

    return -1;

#endif

}


/* PyObjectCall (used by PyObjectFastCall) */

#if CYTHON_COMPILING_IN_CPYTHON

static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw) {

    PyObject *result;

    ternaryfunc call = Py_TYPE(func)->tp_call;

    if (unlikely(!call))

        return PyObject_Call(func, arg, kw);

    if (unlikely(Py_EnterRecursiveCall(" while calling a Python object")))

        return NULL;

    result = (*call)(func, arg, kw);

    Py_LeaveRecursiveCall();

    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {

        PyErr_SetString(

            PyExc_SystemError,

            "NULL result without error in PyObject_Call");

    }

    return result;

}

#endif


/* PyObjectCallMethO (used by PyObjectFastCall) */

#if CYTHON_COMPILING_IN_CPYTHON

static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg) {

    PyObject *self, *result;

    PyCFunction cfunc;

    cfunc = __Pyx_CyOrPyCFunction_GET_FUNCTION(func);

    self = __Pyx_CyOrPyCFunction_GET_SELF(func);

    if (unlikely(Py_EnterRecursiveCall(" while calling a Python object")))

        return NULL;

    result = cfunc(self, arg);

    Py_LeaveRecursiveCall();

    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {

        PyErr_SetString(

            PyExc_SystemError,

            "NULL result without error in PyObject_Call");

    }

    return result;

}

#endif


/* PyObjectFastCall */

#if CYTHON_COMPILING_IN_LIMITED_API

static PyObject* __Pyx_PyObject_FastCall_fallback(PyObject *func, PyObject * const*args, size_t nargs, PyObject *kwargs) {

    PyObject *argstuple;

    PyObject *result = 0;

    size_t i;

    argstuple = PyTuple_New((Py_ssize_t)nargs);

    if (unlikely(!argstuple)) return NULL;

    for (i = 0; i < nargs; i++) {

        Py_INCREF(args[i]);

        if (__Pyx_PyTuple_SET_ITEM(argstuple, (Py_ssize_t)i, args[i]) != (0)) goto bad;

    }

    result = __Pyx_PyObject_Call(func, argstuple, kwargs);

  bad:

    Py_DECREF(argstuple);

    return result;

}

#endif

#if CYTHON_VECTORCALL && !(CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_PYPY)

  #if CYTHON_COMPILING_IN_CPYTHON

static CYTHON_INLINE vectorcallfunc __Pyx_PyVectorcall_Function(PyObject *callable) {

    PyTypeObject *tp = Py_TYPE(callable);

    #if defined(__Pyx_CyFunction_USED)

    if (__Pyx_CyFunction_CheckExact(callable)) {

        return __Pyx_CyFunction_func_vectorcall(callable);

    }

    #endif

    if (!PyType_HasFeature(tp, Py_TPFLAGS_HAVE_VECTORCALL)) {

        return NULL;

    }

    assert(PyCallable_Check(callable));

    Py_ssize_t offset = tp->tp_vectorcall_offset;

    assert(offset > 0);

    vectorcallfunc ptr;

    memcpy(&ptr, (char *) callable + offset, sizeof(ptr));

    return ptr;

}

  #else

    #define __Pyx_PyVectorcall_Function(callable) PyVectorcall_Function(callable)

  #endif

#endif

static CYTHON_INLINE PyObject* __Pyx_PyObject_FastCallDict(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwargs) {

    Py_ssize_t nargs = __Pyx_PyVectorcall_NARGS(nargsf);

#if CYTHON_COMPILING_IN_CPYTHON

    if (nargs == 0 && kwargs == NULL) {

        if (__Pyx_CyOrPyCFunction_Check(func) && likely( __Pyx_CyOrPyCFunction_GET_FLAGS(func) & METH_NOARGS))

            return __Pyx_PyObject_CallMethO(func, NULL);

    }

    else if (nargs == 1 && kwargs == NULL) {

        if (__Pyx_CyOrPyCFunction_Check(func) && likely( __Pyx_CyOrPyCFunction_GET_FLAGS(func) & METH_O))

            return __Pyx_PyObject_CallMethO(func, args[0]);

    }

#endif

    if (kwargs == NULL) {

        #if CYTHON_VECTORCALL

          #if CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_PYPY

            return PyObject_Vectorcall(func, args, nargsf, NULL);

          #else

            vectorcallfunc f = __Pyx_PyVectorcall_Function(func);

            if (f) {

                return f(func, args, nargsf, NULL);

            }

          #endif

        #endif

    }

    if (nargs == 0) {

        return __Pyx_PyObject_Call(func, __pyx_mstate_global->__pyx_empty_tuple, kwargs);

    }

    #if CYTHON_COMPILING_IN_LIMITED_API

    return __Pyx_PyObject_FastCall_fallback(func, args, (size_t)nargs, kwargs);

    #elif CYTHON_COMPILING_IN_PYPY

    return PyObject_VectorcallDict(func, args, (size_t) nargs, kwargs);

    #else

    return PyObject_VectorcallDict(func, args, nargsf, kwargs);

    #endif

}


/* RaiseException */

static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {

    PyObject* owned_instance = NULL;

    if (tb == Py_None) {

        tb = 0;

    } else if (tb && !PyTraceBack_Check(tb)) {

        PyErr_SetString(PyExc_TypeError,

            "raise: arg 3 must be a traceback or None");

        goto bad;

    }

    if (value == Py_None)

        value = 0;

    if (PyExceptionInstance_Check(type)) {

        if (value) {

            PyErr_SetString(PyExc_TypeError,

                "instance exception may not have a separate value");

            goto bad;

        }

        value = type;

        type = (PyObject*) Py_TYPE(value);

    } else if (PyExceptionClass_Check(type)) {

        PyObject *instance_class = NULL;

        if (value && PyExceptionInstance_Check(value)) {

            instance_class = (PyObject*) Py_TYPE(value);

            if (instance_class != type) {

                int is_subclass = PyObject_IsSubclass(instance_class, type);

                if (!is_subclass) {

                    instance_class = NULL;

                } else if (unlikely(is_subclass == -1)) {

                    goto bad;

                } else {

                    type = instance_class;

                }

            }

        }

        if (!instance_class) {

            PyObject *args;

            if (!value)

                args = PyTuple_New(0);

            else if (PyTuple_Check(value)) {

                Py_INCREF(value);

                args = value;

            } else

                args = PyTuple_Pack(1, value);

            if (!args)

                goto bad;

            owned_instance = PyObject_Call(type, args, NULL);

            Py_DECREF(args);

            if (!owned_instance)

                goto bad;

            value = owned_instance;

            if (!PyExceptionInstance_Check(value)) {

                PyErr_Format(PyExc_TypeError,

                             "calling %R should have returned an instance of "

                             "BaseException, not %R",

                             type, Py_TYPE(value));

                goto bad;

            }

        }

    } else {

        PyErr_SetString(PyExc_TypeError,

            "raise: exception class must be a subclass of BaseException");

        goto bad;

    }

    if (cause) {

        PyObject *fixed_cause;

        if (cause == Py_None) {

            fixed_cause = NULL;

        } else if (PyExceptionClass_Check(cause)) {

            fixed_cause = PyObject_CallObject(cause, NULL);

            if (fixed_cause == NULL)

                goto bad;

        } else if (PyExceptionInstance_Check(cause)) {

            fixed_cause = cause;

            Py_INCREF(fixed_cause);

        } else {

            PyErr_SetString(PyExc_TypeError,

                            "exception causes must derive from "

                            "BaseException");

            goto bad;

        }

        PyException_SetCause(value, fixed_cause);

    }

    PyErr_SetObject(type, value);

    if (tb) {

#if PY_VERSION_HEX >= 0x030C00A6

        PyException_SetTraceback(value, tb);

#elif CYTHON_FAST_THREAD_STATE

        PyThreadState *tstate = __Pyx_PyThreadState_Current;

        PyObject* tmp_tb = tstate->curexc_traceback;

        if (tb != tmp_tb) {

            Py_INCREF(tb);

            tstate->curexc_traceback = tb;

            Py_XDECREF(tmp_tb);

        }

#else

        PyObject *tmp_type, *tmp_value, *tmp_tb;

        PyErr_Fetch(&tmp_type, &tmp_value, &tmp_tb);

        Py_INCREF(tb);

        PyErr_Restore(tmp_type, tmp_value, tb);

        Py_XDECREF(tmp_tb);

#endif

    }

bad:

    Py_XDECREF(owned_instance);

    return;

}


/* CopyObjectArray (used by TupleOrListFromArrayImpl) */

#if CYTHON_COMPILING_IN_CPYTHON

static CYTHON_INLINE void __Pyx_copy_object_array(PyObject *const *CYTHON_RESTRICT src, PyObject** CYTHON_RESTRICT dest, Py_ssize_t length) {

    PyObject *v;

    Py_ssize_t i;

    for (i = 0; i < length; i++) {

        v = dest[i] = src[i];

        Py_INCREF(v);

    }

}

#endif


/* TupleOrListFromArrayImpl (used by TupleFromArray) */

#if !(PY_VERSION_HEX >= 0x030F0000 && !CYTHON_COMPILING_IN_LIMITED_API)

CYTHON_UNUSED static PyObject *

__Pyx_PyTuple_FromArray(PyObject *const *src, Py_ssize_t n) {

    if (n <= 0) {

        return __Pyx_NewRef(__pyx_mstate_global->__pyx_empty_tuple);

    }

    PyObject *res = PyTuple_New(n);

    if (unlikely(res == NULL)) return NULL;

    #if CYTHON_COMPILING_IN_CPYTHON

    __Pyx_copy_object_array(src, ((PyTupleObject*)res)->ob_item, n);

    #else

    Py_ssize_t i;

    for (i = 0; i < n; i++) {

        Py_INCREF(src[i]);

        if (unlikely(__Pyx_PyTuple_SET_ITEM(res, i, src[i]) < (0))) {

            Py_DECREF(res);

            return NULL;

        }

    }

    #endif

    return res;

}

#endif


/* PyObjectCompare (used by UnicodeEquals) */

#ifndef __Pyx_DEFINED_PyObject_CompareStrStrBoolEq

#define __Pyx_DEFINED_PyObject_CompareStrStrBoolEq

static CYTHON_INLINE int __Pyx_PyObject_CompareStrStrBoolEq(PyObject* s1, PyObject* s2) {

    #if __PYX_LIMITED_VERSION_HEX >= 0x030e0000

    int result = PyUnicode_Equal(s1, s2);

    #if !CYTHON_COMPILING_IN_CPYTHON

    if (unlikely(result == -1)) return -1;

    #endif

    if (result == 0) goto __pyx_return_false; else goto __pyx_return_true;

    #else

    int result = PyUnicode_Compare(s1, s2);

    if (unlikely((result == -1) && PyErr_Occurred())) return -1;

    if (result == 0) goto __pyx_return_true; else goto __pyx_return_false;

    #endif

__pyx_return_true:

    return 1;

__pyx_return_false:

    return 0;

}

#endif

static CYTHON_INLINE int __Pyx_PyObject_CompareBoolEq_str_str(PyObject *op1, PyObject *op2, int pyop) {

    CYTHON_UNUSED_VAR(pyop);

    if (unlikely(op1 == Py_None)) {

        if (op2 == Py_None) goto __pyx_return_true; else goto __pyx_return_false;

    }

    if (unlikely(op2 == Py_None)) {

        if (op1 == Py_None) goto __pyx_return_true; else goto __pyx_return_false;

    }


    if (likely(op1 != Py_None)) {

        if (op1 == op2) goto __pyx_return_true;

        if (likely(op2 != Py_None)) {

            return __Pyx_PyObject_CompareStrStrBoolEq(op1, op2);

        }

        goto __pyx_richcmp;

    }


    if ((0)) goto __pyx_richcmp;

    if ((0)) goto __pyx_return_true;

    if ((0)) goto __pyx_return_false;

__pyx_richcmp:

    return __Pyx_PyObject_RichCompareBool(op1, op2, Py_EQ);

__pyx_return_true:

    return 1;

__pyx_return_false:

    return 0;

}


/* fastcall */

#if CYTHON_VECTORCALL

static CYTHON_INLINE PyObject * __Pyx_GetKwValue_FASTCALL(PyObject *kwnames, PyObject *const *kwvalues, PyObject *s)

{

    Py_ssize_t i, n = __Pyx_PyTuple_GET_SIZE(kwnames);

    #if !CYTHON_ASSUME_SAFE_SIZE

    if (unlikely(n == -1)) return NULL;

    #endif

    for (i = 0; i < n; i++)

    {

        PyObject *namei = __Pyx_PyTuple_GET_ITEM(kwnames, i);

        #if !CYTHON_ASSUME_SAFE_MACROS

        if (unlikely(!namei)) return NULL;

        #endif

        if (s == namei) return kwvalues[i];

    }

    for (i = 0; i < n; i++)

    {

        PyObject *namei = __Pyx_PyTuple_GET_ITEM(kwnames, i);

        #if !CYTHON_ASSUME_SAFE_MACROS

        if (unlikely(!namei)) return NULL;

        #endif

        int eq = __Pyx_PyUnicode_Equals(s, namei);

        if (unlikely(eq != 0)) {

            if (unlikely(eq < 0)) return NULL;

            return kwvalues[i];

        }

    }

    return NULL;

}

#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030d0000 || CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL

CYTHON_UNUSED static PyObject *__Pyx_KwargsAsDict_FASTCALL(PyObject *kwnames, PyObject *const *kwvalues) {

    Py_ssize_t i, nkwargs;

    PyObject *dict;

#if !CYTHON_ASSUME_SAFE_SIZE

    nkwargs = PyTuple_Size(kwnames);

    if (unlikely(nkwargs < 0)) return NULL;

#else

    nkwargs = PyTuple_GET_SIZE(kwnames);

#endif

    dict = PyDict_New();

    if (unlikely(!dict))

        return NULL;

    for (i=0; i<nkwargs; i++) {

#if !CYTHON_ASSUME_SAFE_MACROS

        PyObject *key = PyTuple_GetItem(kwnames, i);

        if (!key) goto bad;

#else

        PyObject *key = PyTuple_GET_ITEM(kwnames, i);

#endif

        if (unlikely(PyDict_SetItem(dict, key, kwvalues[i]) < 0))

            goto bad;

    }

    return dict;

bad:

    Py_DECREF(dict);

    return NULL;

}

#endif

#endif


/* PyObjectCallOneArg (used by CallUnboundCMethod0) */

static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {

    PyObject *args[2] = {NULL, arg};

    return __Pyx_PyObject_FastCall(func, args+1, 1 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET);

}


/* IgnoreException (used by UnpackUnboundCMethod_impl) */

static CYTHON_INLINE int __Pyx_IgnoreGivenException(PyObject *given_exception, PyObject *ignorable_exception) {

    if (PyErr_GivenExceptionMatches(given_exception ? given_exception : PyErr_Occurred(), ignorable_exception)) {

        PyErr_Clear();

        return 1;

    }

    return 0;

}


/* PyObjectGetAttrStr (used by UnpackUnboundCMethod_impl) */

#if CYTHON_USE_TYPE_SLOTS

static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject* obj, PyObject* attr_name) {

    PyTypeObject* tp = Py_TYPE(obj);

    if (likely(tp->tp_getattro))

        return tp->tp_getattro(obj, attr_name);

    return PyObject_GetAttr(obj, attr_name);

}

#endif


/* UnpackUnboundCMethod_impl (used by UnpackUnboundCMethod) */

#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030C0000

static PyObject *__Pyx_SelflessCall(PyObject *method, PyObject *args, PyObject *kwargs) {

    PyObject *result;

    PyObject *selfless_args = PyTuple_GetSlice(args, 1, PyTuple_Size(args));

    if (unlikely(!selfless_args)) return NULL;

    result = PyObject_Call(method, selfless_args, kwargs);

    Py_DECREF(selfless_args);

    return result;

}

#else

static PyObject *__Pyx_SelflessCall(PyObject *method, PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames) {

    return PyObject_Vectorcall(method, args ? args+1 : NULL, nargs ? (size_t) nargs-1 : 0, kwnames);

}

#endif

static PyMethodDef __Pyx_UnboundCMethod_Def = {

     "CythonUnboundCMethod",

     __PYX_REINTERPRET_FUNCION(PyCFunction, __Pyx_SelflessCall),

#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030C0000

     METH_VARARGS | METH_KEYWORDS,

#else

     METH_FASTCALL | METH_KEYWORDS,

#endif

     NULL

};

static int __Pyx_TryUnpackUnboundCMethod(__Pyx_CachedCFunction* target) {

    PyObject *method, *result=NULL;

    method = __Pyx_PyObject_GetAttrStr(target->type, *target->method_name);

    if (unlikely(!method))

        return -1;

    result = method;

#if CYTHON_COMPILING_IN_CPYTHON

    if (likely(__Pyx_TypeCheck(method, &PyMethodDescr_Type)))

    {

        PyMethodDescrObject *descr = (PyMethodDescrObject*) method;

        target->func = descr->d_method->ml_meth;

        target->flag = descr->d_method->ml_flags & ~(METH_CLASS | METH_STATIC | METH_COEXIST);

    } else

#endif

#if CYTHON_COMPILING_IN_PYPY

#else

    if (PyCFunction_Check(method))

#endif

    {

        PyObject *self;

        int self_found;

#if CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_PYPY

        self = PyObject_GetAttrString(method, "__self__");

        if (!self && !__Pyx_IgnoreException(PyExc_AttributeError)) {

            return -1;

        }

#else

        self = PyCFunction_GET_SELF(method);

#endif

        self_found = (self && self != Py_None);

#if CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_PYPY

        Py_XDECREF(self);

#endif

        if (self_found) {

            PyObject *unbound_method = PyCFunction_New(&__Pyx_UnboundCMethod_Def, method);

            if (unlikely(!unbound_method)) return -1;

            Py_DECREF(method);

            result = unbound_method;

        }

    }

#if !CYTHON_COMPILING_IN_CPYTHON_FREETHREADING

    if (unlikely(target->method)) {

        Py_DECREF(result);

    } else

#endif

    target->method = result;

    return 0;

}


/* CallUnboundCMethod0 */

#if CYTHON_COMPILING_IN_CPYTHON

static CYTHON_INLINE PyObject* __Pyx_CallUnboundCMethod0(__Pyx_CachedCFunction* cfunc, PyObject* self) {

    int was_initialized = __Pyx_CachedCFunction_GetAndSetInitializing(cfunc);

    if (likely(was_initialized == 2 && cfunc->func)) {

        if (likely(cfunc->flag == METH_NOARGS))

            return __Pyx_CallCFunction(cfunc, self, NULL);

        if (likely(cfunc->flag == METH_FASTCALL))

            return __Pyx_CallCFunctionFast(cfunc, self, NULL, 0);

        if (cfunc->flag == (METH_FASTCALL | METH_KEYWORDS))

            return __Pyx_CallCFunctionFastWithKeywords(cfunc, self, NULL, 0, NULL);

        if (likely(cfunc->flag == (METH_VARARGS | METH_KEYWORDS)))

            return __Pyx_CallCFunctionWithKeywords(cfunc, self, __pyx_mstate_global->__pyx_empty_tuple, NULL);

        if (cfunc->flag == METH_VARARGS)

            return __Pyx_CallCFunction(cfunc, self, __pyx_mstate_global->__pyx_empty_tuple);

        return __Pyx__CallUnboundCMethod0(cfunc, self);

    }

#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING

    else if (unlikely(was_initialized == 1)) {

        __Pyx_CachedCFunction tmp_cfunc = {

#ifndef __cplusplus

            0

#endif

        };

        tmp_cfunc.type = cfunc->type;

        tmp_cfunc.method_name = cfunc->method_name;

        return __Pyx__CallUnboundCMethod0(&tmp_cfunc, self);

    }

#endif

    PyObject *result = __Pyx__CallUnboundCMethod0(cfunc, self);

    __Pyx_CachedCFunction_SetFinishedInitializing(cfunc);

    return result;

}

#endif

static PyObject* __Pyx__CallUnboundCMethod0(__Pyx_CachedCFunction* cfunc, PyObject* self) {

    PyObject *result;

    if (unlikely(!cfunc->method) && unlikely(__Pyx_TryUnpackUnboundCMethod(cfunc) < 0)) return NULL;

    result = __Pyx_PyObject_CallOneArg(cfunc->method, self);

    return result;

}


/* py_dict_items (used by OwnedDictNext) */

static CYTHON_INLINE PyObject* __Pyx_PyDict_Items(PyObject* d) {

    return __Pyx_CallUnboundCMethod0(&__pyx_mstate_global->__pyx_umethod_PyDict_Type_items, d);

}


/* py_dict_values (used by OwnedDictNext) */

static CYTHON_INLINE PyObject* __Pyx_PyDict_Values(PyObject* d) {

    return __Pyx_CallUnboundCMethod0(&__pyx_mstate_global->__pyx_umethod_PyDict_Type_values, d);

}


/* OwnedDictNext (used by ParseKeywordsImpl) */

#if CYTHON_AVOID_BORROWED_REFS

static int __Pyx_PyDict_NextRef(PyObject *p, PyObject **ppos, PyObject **pkey, PyObject **pvalue) {

    PyObject *next = NULL;

    if (!*ppos) {

        if (pvalue) {

            PyObject *dictview = pkey ? __Pyx_PyDict_Items(p) : __Pyx_PyDict_Values(p);

            if (unlikely(!dictview)) goto bad;

            *ppos = PyObject_GetIter(dictview);

            Py_DECREF(dictview);

        } else {

            *ppos = PyObject_GetIter(p);

        }

        if (unlikely(!*ppos)) goto bad;

    }

    next = PyIter_Next(*ppos);

    if (!next) {

        if (PyErr_Occurred()) goto bad;

        return 0;

    }

    if (pkey && pvalue) {

        *pkey = __Pyx_PySequence_ITEM(next, 0);

        if (unlikely(*pkey)) goto bad;

        *pvalue = __Pyx_PySequence_ITEM(next, 1);

        if (unlikely(*pvalue)) goto bad;

        Py_DECREF(next);

    } else if (pkey) {

        *pkey = next;

    } else {

        assert(pvalue);

        *pvalue = next;

    }

    return 1;

  bad:

    Py_XDECREF(next);

#if !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x030d0000

    PyErr_FormatUnraisable("Exception ignored in __Pyx_PyDict_NextRef");

#else

    PyErr_WriteUnraisable(__pyx_mstate_global->__pyx_n_u_Pyx_PyDict_NextRef);

#endif

    if (pkey) *pkey = NULL;

    if (pvalue) *pvalue = NULL;

    return 0;

}

#else // !CYTHON_AVOID_BORROWED_REFS

static int __Pyx_PyDict_NextRef(PyObject *p, Py_ssize_t *ppos, PyObject **pkey, PyObject **pvalue) {

    int result = PyDict_Next(p, ppos, pkey, pvalue);

    if (likely(result == 1)) {

        if (pkey) Py_INCREF(*pkey);

        if (pvalue) Py_INCREF(*pvalue);

    }

    return result;

}

#endif


/* RaiseDoubleKeywords (used by ParseKeywordsImpl) */

static void __Pyx_RaiseDoubleKeywordsError(

    const char* func_name,

    PyObject* kw_name)

{

    PyErr_Format(PyExc_TypeError,

        "%s() got multiple values for keyword argument '%U'", func_name, kw_name);

}


/* CallUnboundCMethod2 */

#if CYTHON_COMPILING_IN_CPYTHON

static CYTHON_INLINE PyObject *__Pyx_CallUnboundCMethod2(__Pyx_CachedCFunction *cfunc, PyObject *self, PyObject *arg1, PyObject *arg2) {

    int was_initialized = __Pyx_CachedCFunction_GetAndSetInitializing(cfunc);

    if (likely(was_initialized == 2 && cfunc->func)) {

        PyObject *args[2] = {arg1, arg2};

        if (cfunc->flag == METH_FASTCALL) {

            return __Pyx_CallCFunctionFast(cfunc, self, args, 2);

        }

        if (cfunc->flag == (METH_FASTCALL | METH_KEYWORDS))

            return __Pyx_CallCFunctionFastWithKeywords(cfunc, self, args, 2, NULL);

    }

#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING

    else if (unlikely(was_initialized == 1)) {

        __Pyx_CachedCFunction tmp_cfunc = {

#ifndef __cplusplus

            0

#endif

        };

        tmp_cfunc.type = cfunc->type;

        tmp_cfunc.method_name = cfunc->method_name;

        return __Pyx__CallUnboundCMethod2(&tmp_cfunc, self, arg1, arg2);

    }

#endif

    PyObject *result = __Pyx__CallUnboundCMethod2(cfunc, self, arg1, arg2);

    __Pyx_CachedCFunction_SetFinishedInitializing(cfunc);

    return result;

}

#endif

static PyObject* __Pyx__CallUnboundCMethod2(__Pyx_CachedCFunction* cfunc, PyObject* self, PyObject* arg1, PyObject* arg2){

    if (unlikely(!cfunc->func && !cfunc->method) && unlikely(__Pyx_TryUnpackUnboundCMethod(cfunc) < 0)) return NULL;

#if CYTHON_COMPILING_IN_CPYTHON

    if (cfunc->func && (cfunc->flag & METH_VARARGS)) {

        PyObject *result = NULL;

        PyObject *args = PyTuple_New(2);

        if (unlikely(!args)) return NULL;

        Py_INCREF(arg1);

        PyTuple_SET_ITEM(args, 0, arg1);

        Py_INCREF(arg2);

        PyTuple_SET_ITEM(args, 1, arg2);

        if (cfunc->flag & METH_KEYWORDS)

            result = __Pyx_CallCFunctionWithKeywords(cfunc, self, args, NULL);

        else

            result = __Pyx_CallCFunction(cfunc, self, args);

        Py_DECREF(args);

        return result;

    }

#endif

    {

        PyObject *args[4] = {NULL, self, arg1, arg2};

        return __Pyx_PyObject_FastCall(cfunc->method, args+1, 3 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET);

    }

}


/* ParseKeywordsImpl (used by ParseKeywords) */

static int __Pyx_ValidateDuplicatePosArgs(

    PyObject *kwds,

    PyObject ** const argnames[],

    PyObject ** const *first_kw_arg,

    const char* function_name)

{

    PyObject ** const *name = argnames;

    while (name != first_kw_arg) {

        PyObject *key = **name;

        int found = PyDict_Contains(kwds, key);

        if (unlikely(found)) {

            if (found == 1) __Pyx_RaiseDoubleKeywordsError(function_name, key);

            goto bad;

        }

        name++;

    }

    return 0;

bad:

    return -1;

}

#if CYTHON_USE_UNICODE_INTERNALS

static CYTHON_INLINE int __Pyx_UnicodeKeywordsEqual(PyObject *s1, PyObject *s2) {

    int kind;

    Py_ssize_t len = PyUnicode_GET_LENGTH(s1);

    if (len != PyUnicode_GET_LENGTH(s2)) return 0;

    kind = PyUnicode_KIND(s1);

    if (kind != PyUnicode_KIND(s2)) return 0;

    const void *data1 = PyUnicode_DATA(s1);

    const void *data2 = PyUnicode_DATA(s2);

    return (memcmp(data1, data2, (size_t) len * (size_t) kind) == 0);

}

#endif

static int __Pyx_MatchKeywordArg_str(

    PyObject *key,

    PyObject ** const argnames[],

    PyObject ** const *first_kw_arg,

    size_t *index_found,

    const char *function_name)

{

    PyObject ** const *name;

    #if CYTHON_USE_UNICODE_INTERNALS

    Py_hash_t key_hash = ((PyASCIIObject*)key)->hash;

    if (unlikely(key_hash == -1)) {

        key_hash = PyObject_Hash(key);

        if (unlikely(key_hash == -1))

            goto bad;

    }

    #endif

    name = first_kw_arg;

    while (*name) {

        PyObject *name_str = **name;

        #if CYTHON_USE_UNICODE_INTERNALS

        if (key_hash == ((PyASCIIObject*)name_str)->hash && __Pyx_UnicodeKeywordsEqual(name_str, key)) {

            *index_found = (size_t) (name - argnames);

            return 1;

        }

        #else

        #if CYTHON_ASSUME_SAFE_SIZE

        if (PyUnicode_GET_LENGTH(name_str) == PyUnicode_GET_LENGTH(key))

        #endif

        {

            int cmp = PyUnicode_Compare(name_str, key);

            if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;

            if (cmp == 0) {

                *index_found = (size_t) (name - argnames);

                return 1;

            }

        }

        #endif

        name++;

    }

    name = argnames;

    while (name != first_kw_arg) {

        PyObject *name_str = **name;

        #if CYTHON_USE_UNICODE_INTERNALS

        if (unlikely(key_hash == ((PyASCIIObject*)name_str)->hash)) {

            if (__Pyx_UnicodeKeywordsEqual(name_str, key))

                goto arg_passed_twice;

        }

        #else

        #if CYTHON_ASSUME_SAFE_SIZE

        if (PyUnicode_GET_LENGTH(name_str) == PyUnicode_GET_LENGTH(key))

        #endif

        {

            if (unlikely(name_str == key)) goto arg_passed_twice;

            int cmp = PyUnicode_Compare(name_str, key);

            if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;

            if (cmp == 0) goto arg_passed_twice;

        }

        #endif

        name++;

    }

    return 0;

arg_passed_twice:

    __Pyx_RaiseDoubleKeywordsError(function_name, key);

    goto bad;

bad:

    return -1;

}

static int __Pyx_MatchKeywordArg_nostr(

    PyObject *key,

    PyObject ** const argnames[],

    PyObject ** const *first_kw_arg,

    size_t *index_found,

    const char *function_name)

{

    PyObject ** const *name;

    if (unlikely(!PyUnicode_Check(key))) goto invalid_keyword_type;

    name = first_kw_arg;

    while (*name) {

        int cmp = PyObject_RichCompareBool(**name, key, Py_EQ);

        if (cmp == 1) {

            *index_found = (size_t) (name - argnames);

            return 1;

        }

        if (unlikely(cmp == -1)) goto bad;

        name++;

    }

    name = argnames;

    while (name != first_kw_arg) {

        int cmp = PyObject_RichCompareBool(**name, key, Py_EQ);

        if (unlikely(cmp != 0)) {

            if (cmp == 1) goto arg_passed_twice;

            else goto bad;

        }

        name++;

    }

    return 0;

arg_passed_twice:

    __Pyx_RaiseDoubleKeywordsError(function_name, key);

    goto bad;

invalid_keyword_type:

    PyErr_Format(PyExc_TypeError,

        "%.200s() keywords must be strings", function_name);

    goto bad;

bad:

    return -1;

}

static CYTHON_INLINE int __Pyx_MatchKeywordArg(

    PyObject *key,

    PyObject ** const argnames[],

    PyObject ** const *first_kw_arg,

    size_t *index_found,

    const char *function_name)

{

    return likely(PyUnicode_CheckExact(key)) ?

        __Pyx_MatchKeywordArg_str(key, argnames, first_kw_arg, index_found, function_name) :

        __Pyx_MatchKeywordArg_nostr(key, argnames, first_kw_arg, index_found, function_name);

}

static void __Pyx_RejectUnknownKeyword(

    PyObject *kwds,

    PyObject ** const argnames[],

    PyObject ** const *first_kw_arg,

    const char *function_name)

{

    #if CYTHON_AVOID_BORROWED_REFS

    PyObject *pos = NULL;

    #else

    Py_ssize_t pos = 0;

    #endif

    PyObject *key = NULL;

    __Pyx_BEGIN_CRITICAL_SECTION(kwds);

    #if CYTHON_AVOID_BORROWED_REFS

    while (__Pyx_PyDict_NextRef(kwds, &pos, &key, NULL))

    #else

    (void) __Pyx_PyDict_NextRef;

    while (PyDict_Next(kwds, &pos, &key, NULL))

    #endif

    {

        PyObject** const *name = first_kw_arg;

        while (*name && (**name != key)) name++;

        if (!*name) {

            size_t index_found = 0;

            int cmp = __Pyx_MatchKeywordArg(key, argnames, first_kw_arg, &index_found, function_name);

            if (cmp != 1) {

                if (cmp == 0) {

                    PyErr_Format(PyExc_TypeError,

                        "%s() got an unexpected keyword argument '%U'",

                        function_name, key);

                }

                #if CYTHON_AVOID_BORROWED_REFS

                Py_DECREF(key);

                #endif

                break;

            }

        }

        #if CYTHON_AVOID_BORROWED_REFS

        Py_DECREF(key);

        #endif

    }

    __Pyx_END_CRITICAL_SECTION();

    #if CYTHON_AVOID_BORROWED_REFS

    Py_XDECREF(pos);

    #endif

    assert(PyErr_Occurred());

}

static int __Pyx_ParseKeywordDict(

    PyObject *kwds,

    PyObject ** const argnames[],

    PyObject *values[],

    Py_ssize_t num_pos_args,

    Py_ssize_t num_kwargs,

    const char* function_name,

    int ignore_unknown_kwargs)

{

    PyObject** const *name;

    PyObject** const *first_kw_arg = argnames + num_pos_args;

    Py_ssize_t extracted = 0;

#if !CYTHON_COMPILING_IN_PYPY || defined(PyArg_ValidateKeywordArguments)

    if (unlikely(!PyArg_ValidateKeywordArguments(kwds))) return -1;

#endif

    name = first_kw_arg;

    while (*name && num_kwargs > extracted) {

        PyObject * key = **name;

        PyObject *value;

        int found = 0;

        #if __PYX_LIMITED_VERSION_HEX >= 0x030d0000

        found = PyDict_GetItemRef(kwds, key, &value);

        #else

        value = PyDict_GetItemWithError(kwds, key);

        if (value) {

            Py_INCREF(value);

            found = 1;

        } else {

            if (unlikely(PyErr_Occurred())) goto bad;

        }

        #endif

        if (found) {

            if (unlikely(found < 0)) goto bad;

            values[name-argnames] = value;

            extracted++;

        }

        name++;

    }

    if (num_kwargs > extracted) {

        if (ignore_unknown_kwargs) {

            if (unlikely(__Pyx_ValidateDuplicatePosArgs(kwds, argnames, first_kw_arg, function_name) == -1))

                goto bad;

        } else {

            __Pyx_RejectUnknownKeyword(kwds, argnames, first_kw_arg, function_name);

            goto bad;

        }

    }

    return 0;

bad:

    return -1;

}

static int __Pyx_ParseKeywordDictToDict(

    PyObject *kwds,

    PyObject ** const argnames[],

    PyObject *kwds2,

    PyObject *values[],

    Py_ssize_t num_pos_args,

    const char* function_name)

{

    PyObject** const *name;

    PyObject** const *first_kw_arg = argnames + num_pos_args;

    Py_ssize_t len;

#if !CYTHON_COMPILING_IN_PYPY || defined(PyArg_ValidateKeywordArguments)

    if (unlikely(!PyArg_ValidateKeywordArguments(kwds))) return -1;

#endif

    if (PyDict_Update(kwds2, kwds) < 0) goto bad;

    name = first_kw_arg;

    while (*name) {

        PyObject *key = **name;

        PyObject *value;

#if !CYTHON_COMPILING_IN_LIMITED_API && (PY_VERSION_HEX >= 0x030d00A2 || defined(PyDict_Pop))

        int found = PyDict_Pop(kwds2, key, &value);

        if (found) {

            if (unlikely(found < 0)) goto bad;

            values[name-argnames] = value;

        }

#elif __PYX_LIMITED_VERSION_HEX >= 0x030d0000

        int found = PyDict_GetItemRef(kwds2, key, &value);

        if (found) {

            if (unlikely(found < 0)) goto bad;

            values[name-argnames] = value;

            if (unlikely(PyDict_DelItem(kwds2, key) < 0)) goto bad;

        }

#else

    #if CYTHON_COMPILING_IN_CPYTHON

        value = _PyDict_Pop(kwds2, key, kwds2);

    #else

        value = __Pyx_CallUnboundCMethod2(&__pyx_mstate_global->__pyx_umethod_PyDict_Type_pop, kwds2, key, kwds2);

    #endif

        if (value == kwds2) {

            Py_DECREF(value);

        } else {

            if (unlikely(!value)) goto bad;

            values[name-argnames] = value;

        }

#endif

        name++;

    }

    len = PyDict_Size(kwds2);

    if (len > 0) {

        return __Pyx_ValidateDuplicatePosArgs(kwds, argnames, first_kw_arg, function_name);

    } else if (unlikely(len == -1)) {

        goto bad;

    }

    return 0;

bad:

    return -1;

}

static int __Pyx_ParseKeywordsTuple(

    PyObject *kwds,

    PyObject * const *kwvalues,

    PyObject ** const argnames[],

    PyObject *kwds2,

    PyObject *values[],

    Py_ssize_t num_pos_args,

    Py_ssize_t num_kwargs,

    const char* function_name,

    int ignore_unknown_kwargs)

{

    PyObject *key = NULL;

    PyObject** const * name;

    PyObject** const *first_kw_arg = argnames + num_pos_args;

    for (Py_ssize_t pos = 0; pos < num_kwargs; pos++) {

#if CYTHON_AVOID_BORROWED_REFS

        key = __Pyx_PySequence_ITEM(kwds, pos);

#else

        key = __Pyx_PyTuple_GET_ITEM(kwds, pos);

#endif

#if !CYTHON_ASSUME_SAFE_MACROS

        if (unlikely(!key)) goto bad;

#endif

        name = first_kw_arg;

        while (*name && (**name != key)) name++;

        if (*name) {

            PyObject *value = kwvalues[pos];

            values[name-argnames] = __Pyx_NewRef(value);

        } else {

            size_t index_found = 0;

            int cmp = __Pyx_MatchKeywordArg(key, argnames, first_kw_arg, &index_found, function_name);

            if (cmp == 1) {

                PyObject *value = kwvalues[pos];

                values[index_found] = __Pyx_NewRef(value);

            } else {

                if (unlikely(cmp == -1)) goto bad;

                if (kwds2) {

                    PyObject *value = kwvalues[pos];

                    if (unlikely(PyDict_SetItem(kwds2, key, value))) goto bad;

                } else if (!ignore_unknown_kwargs) {

                    goto invalid_keyword;

                }

            }

        }

        #if CYTHON_AVOID_BORROWED_REFS

        Py_DECREF(key);

        key = NULL;

        #endif

    }

    return 0;

invalid_keyword:

    PyErr_Format(PyExc_TypeError,

        "%s() got an unexpected keyword argument '%U'",

        function_name, key);

    goto bad;

bad:

    #if CYTHON_AVOID_BORROWED_REFS

    Py_XDECREF(key);

    #endif

    return -1;

}


/* ParseKeywords */

static int __Pyx_ParseKeywords(

    PyObject *kwds,

    PyObject * const *kwvalues,

    PyObject ** const argnames[],

    PyObject *kwds2,

    PyObject *values[],

    Py_ssize_t num_pos_args,

    Py_ssize_t num_kwargs,

    const char* function_name,

    int ignore_unknown_kwargs)

{

    if (CYTHON_VECTORCALL && likely(PyTuple_Check(kwds)))

        return __Pyx_ParseKeywordsTuple(kwds, kwvalues, argnames, kwds2, values, num_pos_args, num_kwargs, function_name, ignore_unknown_kwargs);

    else if (kwds2)

        return __Pyx_ParseKeywordDictToDict(kwds, argnames, kwds2, values, num_pos_args, function_name);

    else

        return __Pyx_ParseKeywordDict(kwds, argnames, values, num_pos_args, num_kwargs, function_name, ignore_unknown_kwargs);

}


/* RaiseArgTupleInvalid */

static void __Pyx_RaiseArgtupleInvalid(

    const char* func_name,

    int exact,

    Py_ssize_t num_min,

    Py_ssize_t num_max,

    Py_ssize_t num_found)

{

    Py_ssize_t num_expected;

    const char *more_or_less;

    if (num_found < num_min) {

        num_expected = num_min;

        more_or_less = "at least";

    } else {

        num_expected = num_max;

        more_or_less = "at most";

    }

    if (exact) {

        more_or_less = "exactly";

    }

    PyErr_Format(PyExc_TypeError,

                 "%.200s() takes %.8s %" CYTHON_FORMAT_SSIZE_T "d positional argument%.1s (%" CYTHON_FORMAT_SSIZE_T "d given)",

                 func_name, more_or_less, num_expected,

                 (num_expected == 1) ? "" : "s", num_found);

}


/* ArgTypeTestError (used by ArgTypeTest) */

static void __Pyx_ArgTypeError(PyObject *obj, PyTypeObject *type, const char *name, int exact)

{

    __Pyx_TypeName type_name;

    __Pyx_TypeName obj_type_name;

    PyObject *extra_info = __pyx_mstate_global->__pyx_empty_unicode;

    int from_annotation_subclass = 0;

    if (unlikely(!type)) {

        PyErr_SetString(PyExc_SystemError, "Missing type object");

        return;

    } else if (exact == 2) {

        if (__Pyx_TypeCheck(obj, type)) {

            from_annotation_subclass = 1;

            extra_info = __pyx_mstate_global->__pyx_kp_u_Note_that_Cython_is_deliberately;

        }

    }

    type_name = __Pyx_PyType_GetFullyQualifiedName(type);

    #if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030d0000

    if (unlikely(!type_name)) return;

    #endif

    obj_type_name = __Pyx_PyType_GetFullyQualifiedName(Py_TYPE(obj));

    #if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030d0000

    if (unlikely(!obj_type_name)) goto obj_type_name_failed;

    #endif

    PyErr_Format(PyExc_TypeError,

        "Argument '%.200s' has incorrect type (expected " __Pyx_FMT_TYPENAME ", got " __Pyx_FMT_TYPENAME ")"

#if __PYX_LIMITED_VERSION_HEX < 0x030C0000

        "%s%U"

#endif

        , name, type_name, obj_type_name

#if __PYX_LIMITED_VERSION_HEX < 0x030C0000

        , (from_annotation_subclass ? ". " : ""), extra_info

#endif

        );

#if __PYX_LIMITED_VERSION_HEX >= 0x030C0000

    if (exact == 2 && from_annotation_subclass) {

        PyObject *res;

        PyObject *vargs[2];

        vargs[0] = PyErr_GetRaisedException();

        vargs[1] = extra_info;

        res = PyObject_VectorcallMethod(__pyx_mstate_global->__pyx_kp_u_add_note, vargs, 2, NULL);

        Py_XDECREF(res);

        PyErr_SetRaisedException(vargs[0]);

    }

#endif

    __Pyx_DECREF_TypeName(obj_type_name);

#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030d0000

obj_type_name_failed:

#endif

    __Pyx_DECREF_TypeName(type_name);

    return;

}


/* ArgTypeTest */

static CYTHON_INLINE int __Pyx_ArgTypeTest(PyObject *obj, PyTypeObject *type, int none_allowed, const char *name, int exact) {

    if (likely(Py_IS_TYPE(obj, type) | (none_allowed && (obj == Py_None))))

        return 1;

    if (!exact && likely(type) && likely(__Pyx_TypeCheck(obj, type)))

        return 1;

    __Pyx_ArgTypeError(obj, type, name, exact);

    return 0;

}


/* DivInt[npy_intp] */

static CYTHON_INLINE npy_intp __Pyx_div_npy_intp(npy_intp a, npy_intp b, int b_is_constant) {

    npy_intp q = a / b;

    npy_intp r = a - q*b;

    npy_intp adapt_python = (b_is_constant ?

        ((r != 0) & ((r < 0) ^ (b < 0))) :

        ((r != 0) & ((r ^ b) < 0))

    );

    return q - adapt_python;

}


/* 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);

    }

}


/* IsLittleEndian (used by BufferFormatCheck) */

static CYTHON_INLINE int __Pyx_Is_Little_Endian(void)

{

  union {

    uint32_t u32;

    uint8_t u8[4];

  } S;

  S.u32 = 0x01020304;

  return S.u8[0] == 4;

}


/* BufferFormatCheck (used by BufferGetAndValidate) */

static void __Pyx_BufFmt_Init(__Pyx_BufFmt_Context* ctx,

                              __Pyx_BufFmt_StackElem* stack,

                              const __Pyx_TypeInfo* type) {

  stack[0].field = &ctx->root;

  stack[0].parent_offset = 0;

  ctx->root.type = type;

  ctx->root.name = "buffer dtype";

  ctx->root.offset = 0;

  ctx->head = stack;

  ctx->head->field = &ctx->root;

  ctx->fmt_offset = 0;

  ctx->head->parent_offset = 0;

  ctx->new_packmode = '@';

  ctx->enc_packmode = '@';

  ctx->new_count = 1;

  ctx->enc_count = 0;

  ctx->enc_type = 0;

  ctx->is_complex = 0;

  ctx->is_valid_array = 0;

  ctx->struct_alignment = 0;

  while (type->typegroup == 'S') {

    ++ctx->head;

    ctx->head->field = type->fields;

    ctx->head->parent_offset = 0;

    type = type->fields->type;

  }

}

static int __Pyx_BufFmt_ParseNumber(const char** ts) {

    int count;

    const char* t = *ts;

    if (*t < '0' || *t > '9') {

      return -1;

    } else {

        count = *t++ - '0';

        while (*t >= '0' && *t <= '9') {

            count *= 10;

            count += *t++ - '0';

        }

    }

    *ts = t;

    return count;

}

static int __Pyx_BufFmt_ExpectNumber(const char **ts) {

    int number = __Pyx_BufFmt_ParseNumber(ts);

    if (number == -1)

        PyErr_Format(PyExc_ValueError,\

                     "Does not understand character buffer dtype format string ('%c')", **ts);

    return number;

}

static void __Pyx_BufFmt_RaiseUnexpectedChar(char ch) {

  PyErr_Format(PyExc_ValueError,

               "Unexpected format string character: '%c'", ch);

}

static const char* __Pyx_BufFmt_DescribeTypeChar(char ch, int is_complex) {

  switch (ch) {

    case '?': return "'bool'";

    case 'c': return "'char'";

    case 'b': return "'signed char'";

    case 'B': return "'unsigned char'";

    case 'h': return "'short'";

    case 'H': return "'unsigned short'";

    case 'i': return "'int'";

    case 'I': return "'unsigned int'";

    case 'l': return "'long'";

    case 'L': return "'unsigned long'";

    case 'q': return "'long long'";

    case 'Q': return "'unsigned long long'";

    case 'f': return (is_complex ? "'complex float'" : "'float'");

    case 'd': return (is_complex ? "'complex double'" : "'double'");

    case 'g': return (is_complex ? "'complex long double'" : "'long double'");

    case 'T': return "a struct";

    case 'O': return "Python object";

    case 'P': return "a pointer";

    case 's': case 'p': return "a string";

    case 0: return "end";

    default: return "unparsable format string";

  }

}

static size_t __Pyx_BufFmt_TypeCharToStandardSize(char ch, int is_complex) {

  switch (ch) {

    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;

    case 'h': case 'H': return 2;

    case 'i': case 'I': case 'l': case 'L': return 4;

    case 'q': case 'Q': return 8;

    case 'f': return (is_complex ? 8 : 4);

    case 'd': return (is_complex ? 16 : 8);

    case 'g': {

      PyErr_SetString(PyExc_ValueError, "Python does not define a standard format string size for long double ('g')..");

      return 0;

    }

    case 'O': case 'P': return sizeof(void*);

    default:

      __Pyx_BufFmt_RaiseUnexpectedChar(ch);

      return 0;

    }

}

static size_t __Pyx_BufFmt_TypeCharToNativeSize(char ch, int is_complex) {

  switch (ch) {

    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;

    case 'h': case 'H': return sizeof(short);

    case 'i': case 'I': return sizeof(int);

    case 'l': case 'L': return sizeof(long);

    case 'q': case 'Q': return sizeof(PY_LONG_LONG);

    case 'f': return sizeof(float) * (is_complex ? 2 : 1);

    case 'd': return sizeof(double) * (is_complex ? 2 : 1);

    case 'g': return sizeof(long double) * (is_complex ? 2 : 1);

    case 'O': case 'P': return sizeof(void*);

    default: {

      __Pyx_BufFmt_RaiseUnexpectedChar(ch);

      return 0;

    }

  }

}

typedef struct { char c; short x; } __Pyx_st_short;

typedef struct { char c; int x; } __Pyx_st_int;

typedef struct { char c; long x; } __Pyx_st_long;

typedef struct { char c; float x; } __Pyx_st_float;

typedef struct { char c; double x; } __Pyx_st_double;

typedef struct { char c; long double x; } __Pyx_st_longdouble;

typedef struct { char c; void *x; } __Pyx_st_void_p;

typedef struct { char c; PY_LONG_LONG x; } __Pyx_st_longlong;

static size_t __Pyx_BufFmt_TypeCharToAlignment(char ch, int is_complex) {

  CYTHON_UNUSED_VAR(is_complex);

  switch (ch) {

    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;

    case 'h': case 'H': return sizeof(__Pyx_st_short) - sizeof(short);

    case 'i': case 'I': return sizeof(__Pyx_st_int) - sizeof(int);

    case 'l': case 'L': return sizeof(__Pyx_st_long) - sizeof(long);

    case 'q': case 'Q': return sizeof(__Pyx_st_longlong) - sizeof(PY_LONG_LONG);

    case 'f': return sizeof(__Pyx_st_float) - sizeof(float);

    case 'd': return sizeof(__Pyx_st_double) - sizeof(double);

    case 'g': return sizeof(__Pyx_st_longdouble) - sizeof(long double);

    case 'P': case 'O': return sizeof(__Pyx_st_void_p) - sizeof(void*);

    default:

      __Pyx_BufFmt_RaiseUnexpectedChar(ch);

      return 0;

    }

}

/* These are for computing the padding at the end of the struct to align

   on the first member of the struct. This will probably the same as above,

   but we don't have any guarantees.

 */

typedef struct { short x; char c; } __Pyx_pad_short;

typedef struct { int x; char c; } __Pyx_pad_int;

typedef struct { long x; char c; } __Pyx_pad_long;

typedef struct { float x; char c; } __Pyx_pad_float;

typedef struct { double x; char c; } __Pyx_pad_double;

typedef struct { long double x; char c; } __Pyx_pad_longdouble;

typedef struct { void *x; char c; } __Pyx_pad_void_p;

typedef struct { PY_LONG_LONG x; char c; } __Pyx_pad_longlong;

static size_t __Pyx_BufFmt_TypeCharToPadding(char ch, int is_complex) {

  CYTHON_UNUSED_VAR(is_complex);

  switch (ch) {

    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;

    case 'h': case 'H': return sizeof(__Pyx_pad_short) - sizeof(short);

    case 'i': case 'I': return sizeof(__Pyx_pad_int) - sizeof(int);

    case 'l': case 'L': return sizeof(__Pyx_pad_long) - sizeof(long);

    case 'q': case 'Q': return sizeof(__Pyx_pad_longlong) - sizeof(PY_LONG_LONG);

    case 'f': return sizeof(__Pyx_pad_float) - sizeof(float);

    case 'd': return sizeof(__Pyx_pad_double) - sizeof(double);

    case 'g': return sizeof(__Pyx_pad_longdouble) - sizeof(long double);

    case 'P': case 'O': return sizeof(__Pyx_pad_void_p) - sizeof(void*);

    default:

      __Pyx_BufFmt_RaiseUnexpectedChar(ch);

      return 0;

    }

}

static char __Pyx_BufFmt_TypeCharToGroup(char ch, int is_complex) {

  switch (ch) {

    case 'c':

        return 'H';

    case 'b': case 'h': case 'i':

    case 'l': case 'q': case 's': case 'p':

        return 'I';

    case '?': case 'B': case 'H': case 'I': case 'L': case 'Q':

        return 'U';

    case 'f': case 'd': case 'g':

        return (is_complex ? 'C' : 'R');

    case 'O':

        return 'O';

    case 'P':

        return 'P';

    default: {

      __Pyx_BufFmt_RaiseUnexpectedChar(ch);

      return 0;

    }

  }

}

static void __Pyx_BufFmt_RaiseExpected(__Pyx_BufFmt_Context* ctx) {

  if (ctx->head == NULL || ctx->head->field == &ctx->root) {

    const char* expected;

    const char* quote;

    if (ctx->head == NULL) {

      expected = "end";

      quote = "";

    } else {

      expected = ctx->head->field->type->name;

      quote = "'";

    }

    PyErr_Format(PyExc_ValueError,

                 "Buffer dtype mismatch, expected %s%s%s but got %s",

                 quote, expected, quote,

                 __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex));

  } else {

    const __Pyx_StructField* field = ctx->head->field;

    const __Pyx_StructField* parent = (ctx->head - 1)->field;

    PyErr_Format(PyExc_ValueError,

                 "Buffer dtype mismatch, expected '%s' but got %s in '%s.%s'",

                 field->type->name, __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex),

                 parent->type->name, field->name);

  }

}

static int __Pyx_BufFmt_ProcessTypeChunk(__Pyx_BufFmt_Context* ctx) {

  char group;

  size_t size, offset, arraysize = 1;

  if (ctx->enc_type == 0) return 0;

  if (ctx->head->field->type->arraysize[0]) {

    int i, ndim = 0;

    if (ctx->enc_type == 's' || ctx->enc_type == 'p') {

        ctx->is_valid_array = ctx->head->field->type->ndim == 1;

        ndim = 1;

        if (ctx->enc_count != ctx->head->field->type->arraysize[0]) {

            PyErr_Format(PyExc_ValueError,

                         "Expected a dimension of size %zu, got %zu",

                         ctx->head->field->type->arraysize[0], ctx->enc_count);

            return -1;

        }

    }

    if (!ctx->is_valid_array) {

      PyErr_Format(PyExc_ValueError, "Expected %d dimensions, got %d",

                   ctx->head->field->type->ndim, ndim);

      return -1;

    }

    for (i = 0; i < ctx->head->field->type->ndim; i++) {

      arraysize *= ctx->head->field->type->arraysize[i];

    }

    ctx->is_valid_array = 0;

    ctx->enc_count = 1;

  }

  group = __Pyx_BufFmt_TypeCharToGroup(ctx->enc_type, ctx->is_complex);

  do {

    const __Pyx_StructField* field = ctx->head->field;

    const __Pyx_TypeInfo* type = field->type;

    if (ctx->enc_packmode == '@' || ctx->enc_packmode == '^') {

      size = __Pyx_BufFmt_TypeCharToNativeSize(ctx->enc_type, ctx->is_complex);

    } else {

      size = __Pyx_BufFmt_TypeCharToStandardSize(ctx->enc_type, ctx->is_complex);

    }

    if (ctx->enc_packmode == '@') {

      size_t align_at = __Pyx_BufFmt_TypeCharToAlignment(ctx->enc_type, ctx->is_complex);

      size_t align_mod_offset;

      if (align_at == 0) return -1;

      align_mod_offset = ctx->fmt_offset % align_at;

      if (align_mod_offset > 0) ctx->fmt_offset += align_at - align_mod_offset;

      if (ctx->struct_alignment == 0)

          ctx->struct_alignment = __Pyx_BufFmt_TypeCharToPadding(ctx->enc_type,

                                                                 ctx->is_complex);

    }

    if (type->size != size || type->typegroup != group) {

      if (type->typegroup == 'C' && type->fields != NULL) {

        size_t parent_offset = ctx->head->parent_offset + field->offset;

        ++ctx->head;

        ctx->head->field = type->fields;

        ctx->head->parent_offset = parent_offset;

        continue;

      }

      if ((type->typegroup == 'H' || group == 'H') && type->size == size) {

      } else {

          __Pyx_BufFmt_RaiseExpected(ctx);

          return -1;

      }

    }

    offset = ctx->head->parent_offset + field->offset;

    if (ctx->fmt_offset != offset) {

      PyErr_Format(PyExc_ValueError,

                   "Buffer dtype mismatch; next field is at offset %" CYTHON_FORMAT_SSIZE_T "d but %" CYTHON_FORMAT_SSIZE_T "d expected",

                   (Py_ssize_t)ctx->fmt_offset, (Py_ssize_t)offset);

      return -1;

    }

    ctx->fmt_offset += size;

    if (arraysize)

      ctx->fmt_offset += (arraysize - 1) * size;

    --ctx->enc_count;

    while (1) {

      if (field == &ctx->root) {

        ctx->head = NULL;

        if (ctx->enc_count != 0) {

          __Pyx_BufFmt_RaiseExpected(ctx);

          return -1;

        }

        break;

      }

      ctx->head->field = ++field;

      if (field->type == NULL) {

        --ctx->head;

        field = ctx->head->field;

        continue;

      } else if (field->type->typegroup == 'S') {

        size_t parent_offset = ctx->head->parent_offset + field->offset;

        if (field->type->fields->type == NULL) continue;

        field = field->type->fields;

        ++ctx->head;

        ctx->head->field = field;

        ctx->head->parent_offset = parent_offset;

        break;

      } else {

        break;

      }

    }

  } while (ctx->enc_count);

  ctx->enc_type = 0;

  ctx->is_complex = 0;

  return 0;

}

static int

__pyx_buffmt_parse_array(__Pyx_BufFmt_Context* ctx, const char** tsp)

{

    const char *ts = *tsp;

    int i = 0, number, ndim;

    ++ts;

    if (ctx->new_count != 1) {

        PyErr_SetString(PyExc_ValueError,

                        "Cannot handle repeated arrays in format string");

        return -1;

    }

    if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return -1;

    ndim = ctx->head->field->type->ndim;

    while (*ts && *ts != ')') {

        switch (*ts) {

            case ' ': case '\f': case '\r': case '\n': case '\t': case '\v':  continue;

            default:  break;

        }

        number = __Pyx_BufFmt_ExpectNumber(&ts);

        if (number == -1) return -1;

        if (i < ndim && (size_t) number != ctx->head->field->type->arraysize[i]) {

            PyErr_Format(PyExc_ValueError,

                        "Expected a dimension of size %zu, got %d",

                        ctx->head->field->type->arraysize[i], number);

            return -1;

        }

        if (*ts != ',' && *ts != ')') {

            PyErr_Format(PyExc_ValueError,

                                "Expected a comma in format string, got '%c'", *ts);

            return -1;

        }

        if (*ts == ',') ts++;

        i++;

    }

    if (i != ndim) {

        PyErr_Format(PyExc_ValueError, "Expected %d dimension(s), got %d",

                            ctx->head->field->type->ndim, i);

        return -1;

    }

    if (!*ts) {

        PyErr_SetString(PyExc_ValueError,

                        "Unexpected end of format string, expected ')'");

        return -1;

    }

    ctx->is_valid_array = 1;

    ctx->new_count = 1;

    *tsp = ++ts;

    return 0;

}

static const char* __Pyx_BufFmt_CheckString(__Pyx_BufFmt_Context* ctx, const char* ts) {

  int got_Z = 0;

  while (1) {

    switch(*ts) {

      case 0:

        if (ctx->enc_type != 0 && ctx->head == NULL) {

          __Pyx_BufFmt_RaiseExpected(ctx);

          return NULL;

        }

        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;

        if (ctx->head != NULL) {

          __Pyx_BufFmt_RaiseExpected(ctx);

          return NULL;

        }

        return ts;

      case ' ':

      case '\r':

      case '\n':

        ++ts;

        break;

      case '<':

        if (!__Pyx_Is_Little_Endian()) {

          PyErr_SetString(PyExc_ValueError, "Little-endian buffer not supported on big-endian compiler");

          return NULL;

        }

        ctx->new_packmode = '=';

        ++ts;

        break;

      case '>':

      case '!':

        if (__Pyx_Is_Little_Endian()) {

          PyErr_SetString(PyExc_ValueError, "Big-endian buffer not supported on little-endian compiler");

          return NULL;

        }

        ctx->new_packmode = '=';

        ++ts;

        break;

      case '=':

      case '@':

      case '^':

        ctx->new_packmode = *ts++;

        break;

      case 'T':

        {

          const char* ts_after_sub;

          size_t i, struct_count = ctx->new_count;

          size_t struct_alignment = ctx->struct_alignment;

          ctx->new_count = 1;

          ++ts;

          if (*ts != '\x7B') {

            PyErr_SetString(PyExc_ValueError, "Buffer acquisition: Expected '\x7B' after 'T'");

            return NULL;

          }

          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;

          ctx->enc_type = 0;

          ctx->enc_count = 0;

          ctx->struct_alignment = 0;

          ++ts;

          ts_after_sub = ts;

          for (i = 0; i != struct_count; ++i) {

            ts_after_sub = __Pyx_BufFmt_CheckString(ctx, ts);

            if (!ts_after_sub) return NULL;

          }

          ts = ts_after_sub;

          if (struct_alignment) ctx->struct_alignment = struct_alignment;

        }

        break;

      case '\x7D':

        {

          size_t alignment = ctx->struct_alignment;

          ++ts;

          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;

          ctx->enc_type = 0;

          if (alignment && ctx->fmt_offset % alignment) {

            ctx->fmt_offset += alignment - (ctx->fmt_offset % alignment);

          }

        }

        return ts;

      case 'x':

        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;

        ctx->fmt_offset += ctx->new_count;

        ctx->new_count = 1;

        ctx->enc_count = 0;

        ctx->enc_type = 0;

        ctx->enc_packmode = ctx->new_packmode;

        ++ts;

        break;

      case 'Z':

        got_Z = 1;

        ++ts;

        if (*ts != 'f' && *ts != 'd' && *ts != 'g') {

          __Pyx_BufFmt_RaiseUnexpectedChar('Z');

          return NULL;

        }

        CYTHON_FALLTHROUGH;

      case '?': case 'c': case 'b': case 'B': case 'h': case 'H': case 'i': case 'I':

      case 'l': case 'L': case 'q': case 'Q':

      case 'f': case 'd': case 'g':

      case 'O': case 'p':

        if ((ctx->enc_type == *ts) && (got_Z == ctx->is_complex) &&

            (ctx->enc_packmode == ctx->new_packmode) && (!ctx->is_valid_array)) {

          ctx->enc_count += ctx->new_count;

          ctx->new_count = 1;

          got_Z = 0;

          ++ts;

          break;

        }

        CYTHON_FALLTHROUGH;

      case 's':

        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;

        ctx->enc_count = ctx->new_count;

        ctx->enc_packmode = ctx->new_packmode;

        ctx->enc_type = *ts;

        ctx->is_complex = got_Z;

        ++ts;

        ctx->new_count = 1;

        got_Z = 0;

        break;

      case ':':

        ++ts;

        while(*ts != ':') ++ts;

        ++ts;

        break;

      case '(':

        if (__pyx_buffmt_parse_array(ctx, &ts) < 0) return NULL;

        break;

      default:

        {

          int number = __Pyx_BufFmt_ExpectNumber(&ts);

          if (number == -1) return NULL;

          ctx->new_count = (size_t)number;

        }

    }

  }

}


/* BufferGetAndValidate */

static CYTHON_INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info) {

  if (unlikely(info->buf == NULL)) return;

  if (info->suboffsets == __Pyx_minusones) info->suboffsets = NULL;

  PyBuffer_Release(info);

}

static void __Pyx_ZeroBuffer(Py_buffer* buf) {

  buf->buf = NULL;

  buf->obj = NULL;

  buf->strides = __Pyx_zeros;

  buf->shape = __Pyx_zeros;

  buf->suboffsets = __Pyx_minusones;

}

static int __Pyx__GetBufferAndValidate(

        Py_buffer* buf, PyObject* obj,  const __Pyx_TypeInfo* dtype, int flags,

        int nd, int cast, __Pyx_BufFmt_StackElem* stack)

{

  buf->buf = NULL;

  if (unlikely(PyObject_GetBuffer(obj, buf, flags) == -1)) {

    __Pyx_ZeroBuffer(buf);

    return -1;

  }

  if (unlikely(buf->ndim != nd)) {

    PyErr_Format(PyExc_ValueError,

                 "Buffer has wrong number of dimensions (expected %d, got %d)",

                 nd, buf->ndim);

    goto fail;

  }

  if (!cast) {

    __Pyx_BufFmt_Context ctx;

    __Pyx_BufFmt_Init(&ctx, stack, dtype);

    if (!__Pyx_BufFmt_CheckString(&ctx, buf->format)) goto fail;

  }

  if (unlikely((size_t)buf->itemsize != dtype->size)) {

    PyErr_Format(PyExc_ValueError,

      "Item size of buffer (%" CYTHON_FORMAT_SSIZE_T "d byte%s) does not match size of '%s' (%" CYTHON_FORMAT_SSIZE_T "d byte%s)",

      buf->itemsize, (buf->itemsize > 1) ? "s" : "",

      dtype->name, (Py_ssize_t)dtype->size, (dtype->size > 1) ? "s" : "");

    goto fail;

  }

  if (buf->suboffsets == NULL) buf->suboffsets = __Pyx_minusones;

  return 0;

fail:;

  __Pyx_SafeReleaseBuffer(buf);

  return -1;

}


/* 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);

}


/* PyObjectGetAttrStrNoError (used by ObjectGetItem) */

#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

}


/* FormatTypeName (used by RaiseErrorWithObjectType) */

#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


/* 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


/* BufferIndexError */

static void __Pyx_RaiseBufferIndexError(int axis) {

  PyErr_Format(PyExc_IndexError,

     "Out of bounds on buffer access (axis %d)", axis);

}


/* RaiseErrorWithObjectTypes (used by PyNumberBinop) */

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);

}


/* 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_Add_xfloat_object

#define __Pyx_DEFINED_PyNumber_Add_xfloat_object

static PyObject* __Pyx_PyNumber_Add_xfloat_object(PyObject *op1, PyObject *op2, int inplace) {

    if (PyLong_CheckExact(op2)) {

        double int_op2;

        #if CYTHON_USE_PYLONG_INTERNALS

        if (__Pyx_PyLong_IsCompact(op2)) {

            Py_ssize_t compact_op2 = __Pyx_PyLong_CompactValue(op2);

            if (compact_op2 == 0) return __Pyx_NewRef(op1);

            int_op2 = (double) compact_op2;

        } else

        #endif

        {

            int_op2 = PyLong_AsDouble(op2);

            if (unlikely((int_op2 == -1.) && PyErr_Occurred())) return NULL;

            #if !CYTHON_USE_PYLONG_INTERNALS

            if (int_op2 == 0.) return __Pyx_NewRef(op1);

            #endif

        }

        double float_op1 = __Pyx_PyFloat_AS_DOUBLE(op1);

        #if !CYTHON_ASSUME_SAFE_MACROS

        if (unlikely((float_op1 == -1.) && PyErr_Occurred())) return NULL;

        #endif

        return PyFloat_FromDouble(float_op1 + int_op2);

    }

    if (PyLong_Check(op2)) {

        binaryfunc slot_func = __Pyx_PyType_GetSubSlot(&PyFloat_Type, tp_as_number, nb_add, binaryfunc);

        if (likely(slot_func)) {

            return slot_func(op1, 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_add, 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_InPlaceAdd(op1, op2) : PyNumber_Add(op1, op2);

    #endif

}

#endif

#ifndef __Pyx_DEFINED_PyNumber_Add_xint_object

#define __Pyx_DEFINED_PyNumber_Add_xint_object

static PyObject* __Pyx_PyNumber_Add_xint_object(PyObject *op1, PyObject *op2, int inplace) {

    if (PyFloat_CheckExact(op2)) {

        double int_op1;

        #if CYTHON_USE_PYLONG_INTERNALS

        if (__Pyx_PyLong_IsCompact(op1)) {

            Py_ssize_t compact_op1 = __Pyx_PyLong_CompactValue(op1);

            if (compact_op1 == 0) return __Pyx_NewRef(op2);

            int_op1 = (double) compact_op1;

        } else

        #endif

        {

            int_op1 = PyLong_AsDouble(op1);

            if (unlikely((int_op1 == -1.) && PyErr_Occurred())) return NULL;

            #if !CYTHON_USE_PYLONG_INTERNALS

            if (int_op1 == 0.) return __Pyx_NewRef(op2);

            #endif

        }

        double float_op2 = __Pyx_PyFloat_AS_DOUBLE(op2);

        #if !CYTHON_ASSUME_SAFE_MACROS

        if (unlikely((float_op2 == -1.) && PyErr_Occurred())) return NULL;

        #endif

        return PyFloat_FromDouble(int_op1 + float_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_add, 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_InPlaceAdd(op1, op2) : PyNumber_Add(op1, op2);

    #endif

}

#endif

static CYTHON_INLINE PyObject* __Pyx__PyNumber_Add_object_object(PyObject *op1, PyObject *op2, int inplace) {

    if (PyFloat_CheckExact(op1)) {

        if (PyFloat_CheckExact(op2)) {

            double float_op2 = __Pyx_PyFloat_AS_DOUBLE(op2);

            #if !CYTHON_ASSUME_SAFE_MACROS

            if (unlikely((float_op2 == -1.) && PyErr_Occurred())) return NULL;

            #endif

            double float_op1 = __Pyx_PyFloat_AS_DOUBLE(op1);

            #if !CYTHON_ASSUME_SAFE_MACROS

            if (unlikely((float_op1 == -1.) && PyErr_Occurred())) return NULL;

            #endif

            return PyFloat_FromDouble(float_op1 + float_op2);

        }

        return __Pyx_PyNumber_Add_xfloat_object(op1, op2, inplace);

    }

    if (PyLong_CheckExact(op1)) {

        if (PyLong_CheckExact(op2)) {

            #if CYTHON_USE_PYLONG_INTERNALS

            if (__Pyx_PyLong_IsCompact(op1)) {

                Py_ssize_t int_op1 = __Pyx_PyLong_CompactValue(op1);

                if (int_op1 == 0) return __Pyx_NewRef(op2);

                if (__Pyx_PyLong_IsCompact(op2)) {

                    Py_ssize_t int_op2 = __Pyx_PyLong_CompactValue(op2);

                    if (int_op2 == 0) return __Pyx_NewRef(op1);

                    return PyLong_FromSsize_t(int_op1 + int_op2);

                }

            }

            else if (__Pyx_PyLong_IsZero(op2)) return __Pyx_NewRef(op1);

            #endif

            binaryfunc slot_func = __Pyx_PyType_GetSubSlot(&PyLong_Type, tp_as_number, nb_add, binaryfunc);

            if (likely(slot_func)) {

                return slot_func(op1, op2);

            }

        }

        return __Pyx_PyNumber_Add_xint_object(op1, op2, inplace);

    }

    return (inplace) ? PyNumber_InPlaceAdd(op1, op2) : PyNumber_Add(op1, op2);

}

#endif


/* AllocateExtensionType */

static PyObject *__Pyx_AllocateExtensionType(PyTypeObject *t, int is_final) {

    if (is_final || likely(!__Pyx_PyType_HasFeature(t, Py_TPFLAGS_IS_ABSTRACT))) {

        allocfunc alloc_func = __Pyx_PyType_GetSlot(t, tp_alloc, allocfunc);

        return alloc_func(t, 0);

    } else {

        newfunc tp_new = __Pyx_PyType_TryGetSlot(&PyBaseObject_Type, tp_new, newfunc);

    #if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000

        if (!tp_new) {

            PyObject *new_str = PyUnicode_FromString("__new__");

            if (likely(new_str)) {

                PyObject *o = PyObject_CallMethodObjArgs((PyObject *)&PyBaseObject_Type, new_str, t, NULL);

                Py_DECREF(new_str);

                return o;

            } else

                return NULL;

        } else

    #endif

        return tp_new(t, __pyx_mstate_global->__pyx_empty_tuple, 0);

    }

}


/* 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


/* 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


/* RaiseErrorWithObjectType1 (used by ValidateBasesTuple) */

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);

}


/* 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);

  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;

}


/* 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


/* HasAttr (used by ImportImpl) */

#if __PYX_LIMITED_VERSION_HEX < 0x030d0000

static CYTHON_INLINE int __Pyx_HasAttr(PyObject *o, PyObject *n) {

    PyObject *r;

    if (unlikely(!PyUnicode_Check(n))) {

        PyErr_SetString(PyExc_TypeError,

                        "hasattr(): attribute name must be string");

        return -1;

    }

    r = __Pyx_PyObject_GetAttrStrNoError(o, n);

    if (!r) {

        return (unlikely(PyErr_Occurred())) ? -1 : 0;

    } else {

        Py_DECREF(r);

        return 1;

    }

}

#endif


/* TupleOrListFromArrayImpl (used by ListFromArray) */

CYTHON_UNUSED static PyObject *

__Pyx_PyList_FromArray(PyObject *const *src, Py_ssize_t n) {

    PyObject *res = PyList_New(n);

    if (unlikely(res == NULL)) return NULL;

    #if CYTHON_COMPILING_IN_CPYTHON

    __Pyx_copy_object_array(src, ((PyListObject*)res)->ob_item, n);

    #else

    Py_ssize_t i;

    for (i = 0; i < n; i++) {

        Py_INCREF(src[i]);

        if (unlikely(__Pyx_PyList_SET_ITEM(res, i, src[i]) < (0))) {

            Py_DECREF(res);

            return NULL;

        }

    }

    #endif

    return res;

}


/* ImportImpl (used by Import) */

static int __Pyx__Import_GetModule(PyObject *qualname, PyObject **module) {

    PyObject *imported_module = PyImport_GetModule(qualname);

    if (unlikely(!imported_module)) {

        *module = NULL;

        if (PyErr_Occurred()) {

            return -1;

        }

        return 0;

    }

    *module = imported_module;

    return 1;

}

static int __Pyx__Import_Lookup(PyObject *qualname, PyObject *const *imported_names, Py_ssize_t len_imported_names, PyObject **module) {

    PyObject *imported_module;

    PyObject *top_level_package_name;

    Py_ssize_t i;

    int status, module_found;

    Py_ssize_t dot_index;

    module_found = __Pyx__Import_GetModule(qualname, &imported_module);

    if (unlikely(!module_found || module_found == -1)) {

        *module = NULL;

        return module_found;

    }

    if (imported_names) {

        for (i = 0; i < len_imported_names; i++) {

            PyObject *imported_name = imported_names[i];

#if __PYX_LIMITED_VERSION_HEX < 0x030d0000

            int has_imported_attribute = PyObject_HasAttr(imported_module, imported_name);

#else

            int has_imported_attribute = PyObject_HasAttrWithError(imported_module, imported_name);

            if (unlikely(has_imported_attribute == -1)) goto error;

#endif

            if (!has_imported_attribute) {

                goto not_found;

            }

        }

        *module = imported_module;

        return 1;

    }

    dot_index = PyUnicode_FindChar(qualname, '.', 0, PY_SSIZE_T_MAX, 1);

    if (dot_index == -1) {

        *module = imported_module;

        return 1;

    }

    if (unlikely(dot_index == -2)) goto error;

    top_level_package_name = PyUnicode_Substring(qualname, 0, dot_index);

    if (unlikely(!top_level_package_name)) goto error;

    Py_DECREF(imported_module);

    status = __Pyx__Import_GetModule(top_level_package_name, module);

    Py_DECREF(top_level_package_name);

    return status;

error:

    Py_DECREF(imported_module);

    *module = NULL;

    return -1;

not_found:

    Py_DECREF(imported_module);

    *module = NULL;

    return 0;

}

static PyObject *__Pyx__Import(PyObject *name, PyObject *const *imported_names, Py_ssize_t len_imported_names, PyObject *qualname, PyObject *moddict, int level) {

    PyObject *module = 0;

    PyObject *empty_dict = 0;

    PyObject *from_list = 0;

    int module_found;

    if (!qualname) {

        qualname = name;

    }

    module_found = __Pyx__Import_Lookup(qualname, imported_names, len_imported_names, &module);

    if (likely(module_found == 1)) {

        return module;

    } else if (unlikely(module_found == -1)) {

        return NULL;

    }

    #if !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x030f00a6

    empty_dict = PyFrozenDict_New(NULL);

    #else

    empty_dict = PyDict_New();

    #endif

    if (unlikely(!empty_dict))

        goto bad;

    if (imported_names) {

        from_list = __Pyx_PyList_FromArray(imported_names, len_imported_names);

        if (unlikely(!from_list))

            goto bad;

    }

    if (level == -1) {

        const char* package_sep = strchr(__Pyx_MODULE_NAME, '.');

        if (package_sep != (0)) {

            module = PyImport_ImportModuleLevelObject(

                name, moddict, empty_dict, from_list, 1);

            if (unlikely(!module)) {

                if (unlikely(!PyErr_ExceptionMatches(PyExc_ImportError)))

                    goto bad;

                PyErr_Clear();

            }

        }

        level = 0;

    }

    if (!module) {

        module = PyImport_ImportModuleLevelObject(

            name, moddict, empty_dict, from_list, level);

    }

bad:

    Py_XDECREF(from_list);

    Py_XDECREF(empty_dict);

    return module;

}


/* Import */

static PyObject *__Pyx_Import(PyObject *name, PyObject *const *imported_names, Py_ssize_t len_imported_names, PyObject *qualname, int level) {

    return __Pyx__Import(name, imported_names, len_imported_names, qualname, __pyx_mstate_global->__pyx_d, level);

}


/* dict_setdefault (used by FetchCommonType) */

static CYTHON_INLINE PyObject *__Pyx_PyDict_SetDefault(PyObject *d, PyObject *key, PyObject *default_value) {

    PyObject* value;

#if __PYX_LIMITED_VERSION_HEX >= 0x030F0000 || (!CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x030d00A4)

    PyDict_SetDefaultRef(d, key, default_value, &value);

#elif CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX >= 0x030C0000

    PyObject *args[] = {d, key, default_value};

    value = PyObject_VectorcallMethod(__pyx_mstate_global->__pyx_n_u_setdefault, args, 3 | PY_VECTORCALL_ARGUMENTS_OFFSET, NULL);

#elif CYTHON_COMPILING_IN_LIMITED_API

    value = PyObject_CallMethodObjArgs(d, __pyx_mstate_global->__pyx_n_u_setdefault, key, default_value, NULL);

#else

    value = PyDict_SetDefault(d, key, default_value);

    if (unlikely(!value)) return NULL;

    Py_INCREF(value);

#endif

    return value;

}


/* AddModuleRef (used by FetchSharedCythonModule) */

#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING && PY_VERSION_HEX < 0x030F00a3

  static PyObject *__Pyx_PyImport_AddModuleObjectRef(PyObject *name) {

      PyObject *module_dict = PyImport_GetModuleDict();

      PyObject *m;

      if (PyMapping_GetOptionalItem(module_dict, name, &m) < 0) {

          return NULL;

      }

      if (m != NULL && PyModule_Check(m)) {

          return m;

      }

      Py_XDECREF(m);

      m = PyModule_NewObject(name);

      if (m == NULL)

          return NULL;

      if (PyDict_CheckExact(module_dict)) {

          PyObject *new_m;

          (void)PyDict_SetDefaultRef(module_dict, name, m, &new_m);

          Py_DECREF(m);

          return new_m;

      } else {

           if (PyObject_SetItem(module_dict, name, m) != 0) {

                Py_DECREF(m);

                return NULL;

            }

            return m;

      }

  }

  static PyObject *__Pyx_PyImport_AddModuleRef(const char *name) {

      if ((PY_VERSION_HEX >= 0x030E0000) &&  Py_Version >= 0x030E0100) {

          return PyImport_AddModuleRef(name);

      }

      PyObject *py_name = PyUnicode_FromString(name);

      if (!py_name) return NULL;

      PyObject *module = __Pyx_PyImport_AddModuleObjectRef(py_name);

      Py_DECREF(py_name);

      return module;

  }

#elif __PYX_LIMITED_VERSION_HEX < 0x030d0000

  static PyObject *__Pyx_PyImport_AddModuleRef(const char *name) {

      PyObject *module = PyImport_AddModule(name);

      Py_XINCREF(module);

      return module;

  }

#endif


/* FetchSharedCythonModule (used by FetchCommonType) */

static PyObject *__Pyx_FetchSharedCythonABIModule(void) {

    return __Pyx_PyImport_AddModuleRef(__PYX_ABI_MODULE_NAME);

}


/* VerifyCachedType (used by FetchCommonType) */

static int __Pyx_VerifyCachedType(PyObject *cached_type,

                               const char *name,

                               Py_ssize_t expected_basicsize) {

    Py_ssize_t basicsize;

    if (!PyType_Check(cached_type)) {

        PyErr_Format(PyExc_TypeError,

            "Shared Cython type %.200s is not a type object", name);

        return -1;

    }

    if (expected_basicsize == 0) {

        return 0; // size is inherited, nothing useful to check

    }

#if CYTHON_COMPILING_IN_LIMITED_API && CYTHON_OPAQUE_OBJECTS

    if (expected_basicsize < 0) {

        basicsize = PyType_GetTypeDataSize((PyTypeObject*)cached_type);

    } else

#endif

    {

    #if CYTHON_COMPILING_IN_LIMITED_API

        PyObject *py_basicsize;

        py_basicsize = PyObject_GetAttrString(cached_type, "__basicsize__");

        if (unlikely(!py_basicsize)) return -1;

        basicsize = PyLong_AsSsize_t(py_basicsize);

        Py_DECREF(py_basicsize);

        py_basicsize = NULL;

        if (unlikely(basicsize == (Py_ssize_t)-1) && PyErr_Occurred()) return -1;

    #else

        basicsize = ((PyTypeObject*) cached_type)->tp_basicsize;

    #endif

    }

    if ((expected_basicsize >= 0) ?

            (basicsize != expected_basicsize) :

            (basicsize < -expected_basicsize)) {

        PyErr_Format(PyExc_TypeError,

            "Shared Cython type %.200s has the wrong size, try recompiling",

            name);

        return -1;

    }

    return 0;

}


/* FetchCommonType (used by CommonTypesMetaclass) */

#if __PYX_LIMITED_VERSION_HEX < 0x030C0000

static PyObject* __Pyx_PyType_FromMetaclass(PyTypeObject *metaclass, PyObject *module, PyType_Spec *spec, PyObject *bases) {

    PyObject *result = __Pyx_PyType_FromModuleAndSpec(module, spec, bases);

    if (result && metaclass) {

        PyObject *old_tp = (PyObject*)Py_TYPE(result);

        Py_INCREF((PyObject*)metaclass);

        Py_SET_TYPE(result, metaclass);

        Py_DECREF(old_tp);

        PyType_Modified((PyTypeObject*)result);

    }

    return result;

}

#else

#define __Pyx_PyType_FromMetaclass(me, mo, s, b) PyType_FromMetaclass(me, mo, s, b)

#endif

static PyTypeObject *__Pyx_FetchCommonTypeFromSpec(PyTypeObject *metaclass, PyObject *module, PyType_Spec *spec, PyObject *bases) {

    PyObject *abi_module = NULL, *cached_type = NULL, *abi_module_dict, *new_cached_type, *py_object_name;

    int get_item_ref_result;

    const char* object_name = strrchr(spec->name, '.');

    object_name = object_name ? object_name+1 : spec->name;

    py_object_name = PyUnicode_FromString(object_name);

    if (!py_object_name) return NULL;

    abi_module = __Pyx_FetchSharedCythonABIModule();

    if (!abi_module) goto done;

    abi_module_dict = PyModule_GetDict(abi_module);

    if (!abi_module_dict) goto done;

    get_item_ref_result = __Pyx_PyDict_GetItemRef(abi_module_dict, py_object_name, &cached_type);

    if (get_item_ref_result == 1) {

        if (__Pyx_VerifyCachedType(

              cached_type,

              object_name,

              spec->basicsize) < 0) {

            goto bad;

        }

        goto done;

    } else if (unlikely(get_item_ref_result == -1)) {

        goto bad;

    }

    cached_type = __Pyx_PyType_FromMetaclass(

        metaclass,

        CYTHON_USE_MODULE_STATE ? module : abi_module,

        spec, bases);

    if (unlikely(!cached_type)) goto bad;

    new_cached_type = __Pyx_PyDict_SetDefault(abi_module_dict, py_object_name, cached_type);

    if (unlikely(new_cached_type != cached_type)) {

        if (unlikely(!new_cached_type)) goto bad;

        Py_DECREF(cached_type);

        cached_type = new_cached_type;

        if (__Pyx_VerifyCachedType(

                cached_type,

                object_name,

                spec->basicsize) < 0) {

            goto bad;

        }

        goto done;

    } else {

        Py_DECREF(new_cached_type);

    }

done:

    Py_XDECREF(abi_module);

    Py_DECREF(py_object_name);

    assert(cached_type == NULL || PyType_Check(cached_type));

    return (PyTypeObject *) cached_type;

bad:

    Py_XDECREF(cached_type);

    cached_type = NULL;

    goto done;

}


/* CommonTypesMetaclass (used by CythonFunctionShared) */

static PyObject* __pyx_CommonTypesMetaclass_get_module(CYTHON_UNUSED PyObject *self, CYTHON_UNUSED void* context) {

    return PyUnicode_FromString(__PYX_ABI_MODULE_NAME);

}

#if __PYX_LIMITED_VERSION_HEX < 0x030A0000

static PyObject* __pyx_CommonTypesMetaclass_call(CYTHON_UNUSED PyObject *self, CYTHON_UNUSED PyObject *args, CYTHON_UNUSED PyObject *kwds) {

    PyErr_SetString(PyExc_TypeError, "Cannot instantiate Cython internal types");

    return NULL;

}

static int __pyx_CommonTypesMetaclass_setattr(CYTHON_UNUSED PyObject *self, CYTHON_UNUSED PyObject *attr, CYTHON_UNUSED PyObject *value) {

    PyErr_SetString(PyExc_TypeError, "Cython internal types are immutable");

    return -1;

}

#endif

static PyGetSetDef __pyx_CommonTypesMetaclass_getset[] = {

    {"__module__", __pyx_CommonTypesMetaclass_get_module, NULL, NULL, NULL},

    {0, 0, 0, 0, 0}

};

static PyType_Slot __pyx_CommonTypesMetaclass_slots[] = {

    {Py_tp_getset, (void *)__pyx_CommonTypesMetaclass_getset},

    #if __PYX_LIMITED_VERSION_HEX < 0x030A0000

    {Py_tp_call, (void*)__pyx_CommonTypesMetaclass_call},

    {Py_tp_new, (void*)__pyx_CommonTypesMetaclass_call},

    {Py_tp_setattro, (void*)__pyx_CommonTypesMetaclass_setattr},

    #endif

    {0, 0}

};

static PyType_Spec __pyx_CommonTypesMetaclass_spec = {

    __PYX_TYPE_MODULE_PREFIX "_common_types_metatype",

    0,

    0,

    Py_TPFLAGS_IMMUTABLETYPE |

    Py_TPFLAGS_DISALLOW_INSTANTIATION |

    Py_TPFLAGS_DEFAULT,

    __pyx_CommonTypesMetaclass_slots

};

static int __pyx_CommonTypesMetaclass_init(PyObject *module) {

    __pyx_mstatetype *mstate = __Pyx_PyModule_GetState(module);

    PyObject *bases = PyTuple_Pack(1, &PyType_Type);

    if (unlikely(!bases)) {

        return -1;

    }

    mstate->__pyx_CommonTypesMetaclassType = __Pyx_FetchCommonTypeFromSpec(NULL, module, &__pyx_CommonTypesMetaclass_spec, bases);

    Py_DECREF(bases);

    if (unlikely(mstate->__pyx_CommonTypesMetaclassType == NULL)) {

        return -1;

    }

    return 0;

}


/* CythonFunctionPerModule (used by CythonFunctionShared) */

#if CYTHON_COMPILING_IN_LIMITED_API

static CYTHON_INLINE int __Pyx__IsSameCyOrCFunctionNoMethod(PyObject *func, void (*cfunc)(void)) {

    if (__Pyx_CyFunction_Check(func)) {

        return __Pyx_as_CyFunctionObject(func)->func_methoddef->ml_meth == (PyCFunction) cfunc;

    } else if (PyCFunction_Check(func)) {

        return PyCFunction_GetFunction(func) == (PyCFunction) cfunc;

    }

    return 0;

}

static CYTHON_INLINE int __Pyx__IsSameCyOrCFunction(PyObject *func, void (*cfunc)(void)) {

    if ((PyObject*)Py_TYPE(func) == __pyx_mstate_global->__Pyx_CachedMethodType) {

        int result;

        PyObject *newFunc = PyObject_GetAttr(func, __pyx_mstate_global->__pyx_n_u_func);

        if (unlikely(!newFunc)) {

            PyErr_Clear(); // It's only an optimization, so don't throw an error

            return 0;

        }

        result = __Pyx__IsSameCyOrCFunctionNoMethod(newFunc, cfunc);

        Py_DECREF(newFunc);

        return result;

    }

    return __Pyx__IsSameCyOrCFunctionNoMethod(func, cfunc);

}

#else

static CYTHON_INLINE int __Pyx__IsSameCyOrCFunction(PyObject *func, void (*cfunc)(void)) {

    if (PyMethod_Check(func)) {

        func = PyMethod_GET_FUNCTION(func);

    }

    return __Pyx_CyOrPyCFunction_Check(func) && __Pyx_CyOrPyCFunction_GET_FUNCTION(func) == (PyCFunction) cfunc;

}

#endif

static CYTHON_INLINE void __Pyx__CyFunction_SetClassObj(__pyx_CyFunctionObject* f, PyObject* classobj) {

#if CYTHON_COMPILING_IN_LIMITED_API

    __Pyx_Py_XDECREF_SET(

        __Pyx__CyFunction_GetClassObj(f),

            ((classobj) ? __Pyx_NewRef(classobj) : NULL));

#else

    __Pyx_Py_XDECREF_SET(

        ((PyCMethodObject *) (f))->mm_class,

        (PyTypeObject*)((classobj) ? __Pyx_NewRef(classobj) : NULL));

#endif

}

static CYTHON_INLINE PyObject *__Pyx_CyFunction_InitDefaults(PyObject *func, PyTypeObject *defaults_type) {

    __pyx_CyFunctionObject *m = __Pyx_as_CyFunctionObject(func);

    m->defaults = PyObject_CallObject((PyObject*)defaults_type, NULL); // _PyObject_New(defaults_type);

    if (unlikely(!m->defaults))

        return NULL;

    return m->defaults;

}

static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *func, PyObject *tuple) {

    __pyx_CyFunctionObject *m = __Pyx_as_CyFunctionObject(func);

    m->defaults_tuple = tuple;

    Py_INCREF(tuple);

}

static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *func, PyObject *dict) {

    __pyx_CyFunctionObject *m = __Pyx_as_CyFunctionObject(func);

    m->defaults_kwdict = dict;

    Py_INCREF(dict);

}

static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *func, PyObject *dict) {

    __pyx_CyFunctionObject *m = __Pyx_as_CyFunctionObject(func);

    m->func_annotations = dict;

    Py_INCREF(dict);

}


/* CallTypeTraverse (used by CythonFunctionShared) */

#if !CYTHON_USE_TYPE_SPECS

#else

static int __Pyx_call_type_traverse(PyObject *o, int always_call, visitproc visit, void *arg) {

    if (!always_call) {

        PyTypeObject *base = __Pyx_PyObject_GetSlot(o, tp_base, PyTypeObject*);

        unsigned long flags = PyType_GetFlags(base);

        if (flags & Py_TPFLAGS_HEAPTYPE) {

            return 0;

        }

    }

    Py_VISIT((PyObject*)Py_TYPE(o));

    return 0;

}

#endif


/* PyMethodNew (used by CythonFunctionShared) */

#if CYTHON_COMPILING_IN_LIMITED_API

static PyObject *__Pyx_PyMethod_New(PyObject *func, PyObject *self, PyObject *typ) {

    PyObject *result;

    CYTHON_UNUSED_VAR(typ);

    if (!self)

        return __Pyx_NewRef(func);

    #if __PYX_LIMITED_VERSION_HEX >= 0x030C0000

    {

        PyObject *args[] = {func, self};

        result = PyObject_Vectorcall(__pyx_mstate_global->__Pyx_CachedMethodType, args, 2, NULL);

    }

    #else

    result = PyObject_CallFunctionObjArgs(__pyx_mstate_global->__Pyx_CachedMethodType, func, self, NULL);

    #endif

    return result;

}

#else

static PyObject *__Pyx_PyMethod_New(PyObject *func, PyObject *self, PyObject *typ) {

    CYTHON_UNUSED_VAR(typ);

    if (!self)

        return __Pyx_NewRef(func);

    return PyMethod_New(func, self);

}

#endif


/* PyVectorcallFastCallDict (used by CythonFunctionShared) */

#if CYTHON_VECTORCALL

static PyObject *__Pyx_PyVectorcall_FastCallDict_kw(PyObject *func, __pyx_vectorcallfunc vc, PyObject *const *args, size_t nargs, PyObject *kw)

{

    PyObject *res = NULL;

    PyObject *kwnames;

    PyObject **newargs;

    PyObject **kwvalues;

    Py_ssize_t i;

    #if CYTHON_AVOID_BORROWED_REFS

    PyObject *pos;

    #else

    Py_ssize_t pos;

    #endif

    size_t j;

    PyObject *key, *value;

    unsigned long keys_are_strings;

    #if !CYTHON_ASSUME_SAFE_SIZE

    Py_ssize_t nkw = PyDict_Size(kw);

    if (unlikely(nkw == -1)) return NULL;

    #else

    Py_ssize_t nkw = PyDict_GET_SIZE(kw);

    #endif

    newargs = (PyObject **)PyMem_Malloc((nargs + (size_t)nkw) * sizeof(args[0]));

    if (unlikely(newargs == NULL)) {

        PyErr_NoMemory();

        return NULL;

    }

    for (j = 0; j < nargs; j++) newargs[j] = args[j];

    kwnames = PyTuple_New(nkw);

    if (unlikely(kwnames == NULL)) {

        PyMem_Free(newargs);

        return NULL;

    }

    kwvalues = newargs + nargs;

    pos = 0;

    i = 0;

    keys_are_strings = Py_TPFLAGS_UNICODE_SUBCLASS;

    while (__Pyx_PyDict_NextRef(kw, &pos, &key, &value)) {

        keys_are_strings &=

        #if CYTHON_COMPILING_IN_LIMITED_API

            PyType_GetFlags(Py_TYPE(key));

        #else

            Py_TYPE(key)->tp_flags;

        #endif

        #if !CYTHON_ASSUME_SAFE_MACROS

        if (unlikely(PyTuple_SetItem(kwnames, i, key) < 0)) goto cleanup;

        #else

        PyTuple_SET_ITEM(kwnames, i, key);

        #endif

        kwvalues[i] = value;

        i++;

    }

    if (unlikely(!keys_are_strings)) {

        PyErr_SetString(PyExc_TypeError, "keywords must be strings");

        goto cleanup;

    }

    res = vc(func, newargs, nargs, kwnames);

cleanup:

    #if CYTHON_AVOID_BORROWED_REFS

    Py_DECREF(pos);

    #endif

    Py_DECREF(kwnames);

    for (i = 0; i < nkw; i++)

        Py_DECREF(kwvalues[i]);

    PyMem_Free(newargs);

    return res;

}

static CYTHON_INLINE PyObject *__Pyx_PyVectorcall_FastCallDict(PyObject *func, __pyx_vectorcallfunc vc, PyObject *const *args, size_t nargs, PyObject *kw)

{

    Py_ssize_t kw_size =

        likely(kw == NULL) ?

        0 :

#if !CYTHON_ASSUME_SAFE_SIZE

        PyDict_Size(kw);

#else

        PyDict_GET_SIZE(kw);

#endif

    if (kw_size == 0) {

        return vc(func, args, nargs, NULL);

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#if !CYTHON_ASSUME_SAFE_SIZE

    else if (unlikely(kw_size == -1)) {

        return NULL;

    }

#endif

    return __Pyx_PyVectorcall_FastCallDict_kw(func, vc, args, nargs, kw);

}

#endif


/* CythonFunctionShared (used by CythonFunction) */

static PyObject *

__Pyx_CyFunction_get_doc_locked(__pyx_CyFunctionObject *op)

{

    if (unlikely(op->func_doc == NULL)) {

#if CYTHON_COMPILING_IN_LIMITED_API

        const char *doc = op->func_methoddef->ml_doc;

#else

        const char *doc = ((PyCFunctionObject*)op)->m_ml->ml_doc;

#endif

        if (doc) {

            op->func_doc = PyUnicode_FromString(doc);

            if (unlikely(op->func_doc == NULL))

                return NULL;

        } else {

            Py_INCREF(Py_None);

            return Py_None;

        }

    }

    Py_INCREF(op->func_doc);

    return op->func_doc;

}

static PyObject *

__Pyx_CyFunction_get_doc(PyObject *op_in, void *closure) {

    PyObject *result;

    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);

    CYTHON_UNUSED_VAR(closure);

    __Pyx_BEGIN_CRITICAL_SECTION(op_in);

    result = __Pyx_CyFunction_get_doc_locked(op);

    __Pyx_END_CRITICAL_SECTION();

    return result;

}

static int

__Pyx_CyFunction_set_doc(PyObject *op_in, PyObject *value, void *context)

{

    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);

    CYTHON_UNUSED_VAR(context);

    if (value == NULL) {

        value = Py_None;

    }

    Py_INCREF(value);

    __Pyx_BEGIN_CRITICAL_SECTION(op_in);

    __Pyx_Py_XDECREF_SET(op->func_doc, value);

    __Pyx_END_CRITICAL_SECTION();

    return 0;

}

static PyObject *

__Pyx_CyFunction_get_name_locked(__pyx_CyFunctionObject *op)

{

    if (unlikely(op->func_name == NULL)) {

#if CYTHON_COMPILING_IN_LIMITED_API

        const char *name = op->func_methoddef->ml_name;

#else

        const char *name = ((PyCFunctionObject*)op)->m_ml->ml_name;

#endif

        op->func_name = PyUnicode_InternFromString(name);

        if (unlikely(op->func_name == NULL))

            return NULL;

    }

    Py_INCREF(op->func_name);

    return op->func_name;

}

static PyObject *

__Pyx_CyFunction_get_name(PyObject *op, void *context)

{

    PyObject *result = NULL;

    CYTHON_UNUSED_VAR(context);

    __Pyx_BEGIN_CRITICAL_SECTION(op);

    result = __Pyx_CyFunction_get_name_locked(__Pyx_as_CyFunctionObject(op));

    __Pyx_END_CRITICAL_SECTION();

    return result;

}

static int

__Pyx_CyFunction_set_name(PyObject *op_in, PyObject *value, void *context)

{

    CYTHON_UNUSED_VAR(context);

    if (unlikely(value == NULL || !PyUnicode_Check(value))) {

        PyErr_SetString(PyExc_TypeError,

                        "__name__ must be set to a string object");

        return -1;

    }

    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);

    Py_INCREF(value);

    __Pyx_BEGIN_CRITICAL_SECTION(op_in);

    __Pyx_Py_XDECREF_SET(op->func_name, value);

    __Pyx_END_CRITICAL_SECTION();

    return 0;

}

static PyObject *

__Pyx_CyFunction_get_qualname(PyObject *op_in, void *context)

{

    CYTHON_UNUSED_VAR(context);

    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);

    PyObject *result;

    __Pyx_BEGIN_CRITICAL_SECTION(op_in);

    Py_INCREF(op->func_qualname);

    result = op->func_qualname;

    __Pyx_END_CRITICAL_SECTION();

    return result;

}

static int

__Pyx_CyFunction_set_qualname(PyObject *op_in, PyObject *value, void *context)

{

    CYTHON_UNUSED_VAR(context);

    if (unlikely(value == NULL || !PyUnicode_Check(value))) {

        PyErr_SetString(PyExc_TypeError,

                        "__qualname__ must be set to a string object");

        return -1;

    }

    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);

    Py_INCREF(value);

    __Pyx_BEGIN_CRITICAL_SECTION(op_in);

    __Pyx_Py_XDECREF_SET(op->func_qualname, value);

    __Pyx_END_CRITICAL_SECTION();

    return 0;

}

#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000

static PyObject *

__Pyx_CyFunction_get_dict(__pyx_CyFunctionObject *op, void *context)

{

    CYTHON_UNUSED_VAR(context);

    if (unlikely(op->func_dict == NULL)) {

        op->func_dict = PyDict_New();

        if (unlikely(op->func_dict == NULL))

            return NULL;

    }

    Py_INCREF(op->func_dict);

    return op->func_dict;

}

#endif

static PyObject *

__Pyx_CyFunction_get_globals(PyObject *op_in, void *context)

{

    CYTHON_UNUSED_VAR(context);

    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);

    Py_INCREF(op->func_globals);

    return op->func_globals;

}

static PyObject *

__Pyx_CyFunction_get_closure(PyObject *op, void *context)

{

    CYTHON_UNUSED_VAR(op);

    CYTHON_UNUSED_VAR(context);

    Py_INCREF(Py_None);

    return Py_None;

}

static PyObject *

__Pyx_CyFunction_get_code(PyObject *op_in, void *context)

{

    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);

    PyObject* result = (op->func_code) ? op->func_code : Py_None;

    CYTHON_UNUSED_VAR(context);

    Py_INCREF(result);

    return result;

}

static int

__Pyx_CyFunction_init_defaults(__pyx_CyFunctionObject *op, PyObject *op_obj) {

    int result = 0;

    PyObject *res = op->defaults_getter(op_obj);

    if (unlikely(!res))

        return -1;

    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS

    op->defaults_tuple = PyTuple_GET_ITEM(res, 0);

    Py_INCREF(op->defaults_tuple);

    op->defaults_kwdict = PyTuple_GET_ITEM(res, 1);

    Py_INCREF(op->defaults_kwdict);

    #else

    op->defaults_tuple = __Pyx_PySequence_ITEM(res, 0);

    if (unlikely(!op->defaults_tuple)) result = -1;

    else {

        op->defaults_kwdict = __Pyx_PySequence_ITEM(res, 1);

        if (unlikely(!op->defaults_kwdict)) result = -1;

    }

    #endif

    Py_DECREF(res);

    return result;

}

static int

__Pyx_CyFunction_set_defaults(PyObject *op_in, PyObject* value, void *context) {

    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);

    CYTHON_UNUSED_VAR(context);

    if (!value) {

        value = Py_None;

    } else if (unlikely(value != Py_None && !PyTuple_Check(value))) {

        PyErr_SetString(PyExc_TypeError,

                        "__defaults__ must be set to a tuple object");

        return -1;

    }

    PyErr_WarnEx(PyExc_RuntimeWarning, "changes to cyfunction.__defaults__ will not "

                 "currently affect the values used in function calls", 1);

    Py_INCREF(value);

    __Pyx_BEGIN_CRITICAL_SECTION(op_in);

    __Pyx_Py_XDECREF_SET(op->defaults_tuple, value);

    __Pyx_END_CRITICAL_SECTION();

    return 0;

}

static PyObject *

__Pyx_CyFunction_get_defaults_locked(PyObject *op_in) {

    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);

    PyObject* result = op->defaults_tuple;

    if (unlikely(!result)) {

        if (op->defaults_getter) {

            if (unlikely(__Pyx_CyFunction_init_defaults(op, op_in) < 0)) return NULL;

            result = op->defaults_tuple;

        } else {

            result = Py_None;

        }

    }

    Py_INCREF(result);

    return result;

}

static PyObject *

__Pyx_CyFunction_get_defaults(PyObject *op, void *context) {

    PyObject* result = NULL;

    CYTHON_UNUSED_VAR(context);

    __Pyx_BEGIN_CRITICAL_SECTION(op);

    result = __Pyx_CyFunction_get_defaults_locked(op);

    __Pyx_END_CRITICAL_SECTION();

    return result;

}

static int

__Pyx_CyFunction_set_kwdefaults(PyObject *op_in, PyObject* value, void *context) {

    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);

    CYTHON_UNUSED_VAR(context);

    if (!value) {

        value = Py_None;

    } else if (unlikely(value != Py_None && !PyDict_Check(value))) {

        PyErr_SetString(PyExc_TypeError,

                        "__kwdefaults__ must be set to a dict object");

        return -1;

    }

    PyErr_WarnEx(PyExc_RuntimeWarning, "changes to cyfunction.__kwdefaults__ will not "

                 "currently affect the values used in function calls", 1);

    Py_INCREF(value);

    __Pyx_BEGIN_CRITICAL_SECTION(op_in);

    __Pyx_Py_XDECREF_SET(op->defaults_kwdict, value);

    __Pyx_END_CRITICAL_SECTION();

    return 0;

}

static PyObject *

__Pyx_CyFunction_get_kwdefaults_locked(PyObject *op_in) {

    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);

    PyObject* result = op->defaults_kwdict;

    if (unlikely(!result)) {

        if (op->defaults_getter) {

            if (unlikely(__Pyx_CyFunction_init_defaults(op, op_in) < 0)) return NULL;

            result = op->defaults_kwdict;

        } else {

            result = Py_None;

        }

    }

    Py_INCREF(result);

    return result;

}

static PyObject *

__Pyx_CyFunction_get_kwdefaults(PyObject *op, void *context) {

    PyObject* result;

    CYTHON_UNUSED_VAR(context);

    __Pyx_BEGIN_CRITICAL_SECTION(op);

    result = __Pyx_CyFunction_get_kwdefaults_locked(op);

    __Pyx_END_CRITICAL_SECTION();

    return result;

}

static int __Pyx_CyFunction_set_annotate_in_dict_if_exists(PyObject *op_in, PyObject *value);

static int

__Pyx_CyFunction_set_annotations(PyObject *op_in, PyObject* value, void *context) {

    CYTHON_UNUSED_VAR(context);

    if (!value || value == Py_None) {

        value = NULL;

    } else if (unlikely(!PyDict_Check(value))) {

        PyErr_SetString(PyExc_TypeError,

                        "__annotations__ must be set to a dict object");

        return -1;

    }

    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);

    Py_XINCREF(value);

    __Pyx_BEGIN_CRITICAL_SECTION(op_in);

    __Pyx_Py_XDECREF_SET(op->func_annotations, value);

    __Pyx_END_CRITICAL_SECTION();

    if (unlikely(__Pyx_CyFunction_set_annotate_in_dict_if_exists(op_in, Py_None) < 0)) return -1;

    return 0;

}

static int

__Pyx_CyFunction_get_dict_if_exists(PyObject *op_in, PyObject **dict) {

    /* Return 1 if the function dict exists, 0 otherwise.  This cannot fail:

     * _PyObject_GetDictPtr() may clear errors internally, but never reports them. */

#if CYTHON_COMPILING_IN_PYPY

    *dict = PyObject_GenericGetDict(op_in, NULL);

#elif CYTHON_COMPILING_IN_LIMITED_API || PY_VERSION_HEX < 0x030C0000

    *dict = __Pyx_as_CyFunctionObject(op_in)->func_dict;

#else

    PyObject **dictptr = _PyObject_GetDictPtr(op_in);

    *dict = likely(dictptr) ? *dictptr : NULL;

#endif

    return *dict ? 1 : 0;

}

static int

__Pyx_CyFunction_get_annotate_from_dict_if_exists(PyObject *op_in, PyObject **annotate) {

    PyObject *dict;

    int dict_found;

    *annotate = NULL;

    dict_found = __Pyx_CyFunction_get_dict_if_exists(op_in, &dict);

    if (!dict_found) return 0;

    return __Pyx_PyDict_GetItemRef(dict, __pyx_mstate_global->__pyx_n_u_annotate, annotate);

}

static int

__Pyx_CyFunction_set_annotate_in_dict_if_exists(PyObject *op_in, PyObject *value) {

    PyObject *dict;

    int dict_found;

    dict_found = __Pyx_CyFunction_get_dict_if_exists(op_in, &dict);

    if (!dict_found) return 0;

    if (value) {

        return PyDict_SetItem(dict, __pyx_mstate_global->__pyx_n_u_annotate, value);

    } else {

#if !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x030d0000

        return PyDict_Pop(dict, __pyx_mstate_global->__pyx_n_u_annotate, NULL);

#else

        int result = PyDict_Contains(dict, __pyx_mstate_global->__pyx_n_u_annotate);

        if (result == 1) {

            result = PyDict_DelItem(dict, __pyx_mstate_global->__pyx_n_u_annotate);

        }

        return result;

#endif

    }

}

static int

__Pyx_CyFunction_set_annotate_in_dict(PyObject *op_in, PyObject *value) {

    PyObject *dict;

    int result;

#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000

    dict = __Pyx_CyFunction_get_dict(__Pyx_as_CyFunctionObject(op_in), NULL);

#else

    dict = PyObject_GenericGetDict(op_in, NULL);

#endif

    if (unlikely(!dict)) return -1;

    result = PyDict_SetItem(dict, __pyx_mstate_global->__pyx_n_u_annotate, value);

    Py_DECREF(dict);

    return result;

}

static PyObject *

__Pyx_CyFunction_get_annotations_locked(__pyx_CyFunctionObject *op) {

    PyObject* result = op->func_annotations;

    if (unlikely(!result)) {

        result = PyDict_New();

        if (unlikely(!result)) return NULL;

        op->func_annotations = result;

    }

    Py_INCREF(result);

    return result;

}

static PyObject *

__Pyx_CyFunction_get_annotations(PyObject *op_in, void *context) {

    PyObject *annotate = NULL;

    PyObject *result = NULL;

    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);

    CYTHON_UNUSED_VAR(context);

    __Pyx_BEGIN_CRITICAL_SECTION(op_in);

    result = __Pyx_XNewRef(op->func_annotations);

    __Pyx_END_CRITICAL_SECTION();

    if (result) return result;

    if (unlikely(__Pyx_CyFunction_get_annotate_from_dict_if_exists(op_in, &annotate) < 0)) return NULL;

    if (!annotate || annotate == Py_None) {

        Py_XDECREF(annotate);

        __Pyx_BEGIN_CRITICAL_SECTION(op_in);

        result = __Pyx_CyFunction_get_annotations_locked(op);

        __Pyx_END_CRITICAL_SECTION();

        return result;

    }

    PyObject *format = PyLong_FromLong(1L);  // annotationlib.Format.VALUE

    if (likely(format)) {

        if (!Py_EnterRecursiveCall(" cyfunction __annotations__.__get__")) {

            result = __Pyx_PyObject_CallOneArg(annotate, format);

            Py_LeaveRecursiveCall();

            Py_DECREF(format);

        }

    }

    Py_DECREF(annotate);

    if (unlikely(!result)) return NULL;

    if (unlikely(!PyDict_Check(result))) {

        PyErr_SetString(PyExc_TypeError, "__annotate__ must return a dict");

        Py_DECREF(result);

        return NULL;

    }

    __Pyx_BEGIN_CRITICAL_SECTION(op_in);

    __Pyx_Py_XDECREF_SET(op->func_annotations, __Pyx_NewRef(result));

    __Pyx_END_CRITICAL_SECTION();

    return result;

}

static PyObject *__Pyx_CyFunction_annotate_impl(PyObject *self, PyObject *arg) {

    CYTHON_UNUSED_VAR(arg);

    if (unlikely(!self)) {

        PyErr_SetString(PyExc_SystemError, "cython __annotate__ called without 'self' argument");

        return NULL;

    }

    PyObject *result;

    if (Py_EnterRecursiveCall(" in cyfunction annotate")) {

        return NULL;

    }

    result = __Pyx_CyFunction_get_annotations(self, NULL);

    Py_LeaveRecursiveCall();

    return result;

}

static PyObject *

__Pyx_CyFunction_get_annotate(PyObject *op_in, void *context);

static int

__Pyx_CyFunction_set_annotate(PyObject *op_in, PyObject* value, void *context) {

    CYTHON_UNUSED_VAR(context);

    if (value == NULL) {

        PyErr_SetString(PyExc_TypeError, "__annotate__ cannot be deleted");

        return -1;

    }

    if (unlikely(value != Py_None && !PyCallable_Check(value))) {

        PyErr_SetString(PyExc_TypeError, "__annotate__ must be callable or None");

        return -1;

    }

    if (unlikely(__Pyx_TypeCheck(value, &PyCFunction_Type))) {

#if !CYTHON_ASSUME_SAFE_MACROS && !CYTHON_COMPILING_IN_PYPY

        PyCFunction cfunction = PyCFunction_GetFunction(value);

        if (unlikely(!cfunction)) return -1;

        PyObject *value_self = PyCFunction_GetSelf(value);

        if (unlikely(!value_self && PyErr_Occurred())) return -1;

#else

        PyCFunction cfunction = PyCFunction_GET_FUNCTION(value);

        PyObject *value_self = PyCFunction_GET_SELF(value);

#endif

        if (cfunction == __Pyx_CyFunction_annotate_impl && value_self == op_in) {

            return __Pyx_CyFunction_set_annotate_in_dict_if_exists(op_in, NULL);

        }

    }

    if (value != Py_None) {

        __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);

        __Pyx_BEGIN_CRITICAL_SECTION(op_in);

        Py_CLEAR(op->func_annotations);

        __Pyx_END_CRITICAL_SECTION();

    }

    return __Pyx_CyFunction_set_annotate_in_dict(op_in, value);

}

#if __PYX_LIMITED_VERSION_HEX < 0x030B0000

static PyObject *

__Pyx_CyFunction_get_is_coroutine_value(__pyx_CyFunctionObject *op) {

    int is_coroutine = op->flags & __Pyx_CYFUNCTION_COROUTINE;

    if (is_coroutine) {

        PyObject *is_coroutine_value, *module, *fromlist, *marker = __pyx_mstate_global->__pyx_n_u_is_coroutine;

        fromlist = PyList_New(1);

        if (unlikely(!fromlist)) return NULL;

        Py_INCREF(marker);

#if CYTHON_ASSUME_SAFE_MACROS

        PyList_SET_ITEM(fromlist, 0, marker);

#else

        if (unlikely(PyList_SetItem(fromlist, 0, marker) < 0)) {

            Py_DECREF(fromlist);

            return NULL;

        }

#endif

        module = PyImport_ImportModuleLevelObject(__pyx_mstate_global->__pyx_n_u_asyncio_coroutines, NULL, NULL, fromlist, 0);

        Py_DECREF(fromlist);

        if (unlikely(!module)) {

            goto ignore_or_error;

        }

        is_coroutine_value = __Pyx_PyObject_GetAttrStr(module, marker);

        Py_DECREF(module);

        if (likely(is_coroutine_value)) {

            return is_coroutine_value;

        }

ignore_or_error:

        if (!__Pyx_IgnoreException(PyExc_Exception)) {

            return NULL;

        }

    }

    return __Pyx_PyBool_FromLong(is_coroutine);

}

static PyObject *

__Pyx_CyFunction_get_is_coroutine(PyObject *op_in, void *context) {

    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);

    PyObject *result;

    CYTHON_UNUSED_VAR(context);

    if (op->func_is_coroutine) {

        return __Pyx_NewRef(op->func_is_coroutine);

    }

    result = __Pyx_CyFunction_get_is_coroutine_value(op);

    if (unlikely(!result))

        return NULL;

    __Pyx_BEGIN_CRITICAL_SECTION(op_in);

    if (op->func_is_coroutine) {

        Py_DECREF(result);

        result = __Pyx_NewRef(op->func_is_coroutine);

    } else {

        op->func_is_coroutine = __Pyx_NewRef(result);

    }

    __Pyx_END_CRITICAL_SECTION();

    return result;

}

#endif

static void __Pyx_CyFunction_raise_argument_count_error(PyObject *func, const char* message, Py_ssize_t size) {

#if CYTHON_COMPILING_IN_LIMITED_API

    PyObject *py_name = __Pyx_CyFunction_get_name(func, NULL);

    if (!py_name) return;

    PyErr_Format(PyExc_TypeError,

        "%.200S() %s (%" CYTHON_FORMAT_SSIZE_T "d given)",

        py_name, message, size);

    Py_DECREF(py_name);

#else

    const char* name = ((PyCFunctionObject*)func)->m_ml->ml_name;

    PyErr_Format(PyExc_TypeError,

        "%.200s() %s (%" CYTHON_FORMAT_SSIZE_T "d given)",

        name, message, size);

#endif

}

static void __Pyx_CyFunction_raise_type_error(PyObject *func, const char* message) {

#if CYTHON_COMPILING_IN_LIMITED_API

    PyObject *py_name = __Pyx_CyFunction_get_name(func, NULL);

    if (!py_name) return;

    PyErr_Format(PyExc_TypeError,

        "%.200S() %s",

        py_name, message);

    Py_DECREF(py_name);

#else

    const char* name = ((PyCFunctionObject*)func)->m_ml->ml_name;

    PyErr_Format(PyExc_TypeError,

        "%.200s() %s",

        name, message);

#endif

}

#if CYTHON_COMPILING_IN_LIMITED_API

static PyObject *

__Pyx_CyFunction_get_module(PyObject *op_in, void *context) {

    CYTHON_UNUSED_VAR(context);

    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);

    Py_INCREF(op->func_module);

    return op->func_module;

}

static int

__Pyx_CyFunction_set_module(PyObject *op_in, PyObject* value, void *context) {

    CYTHON_UNUSED_VAR(context);

    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);

    if (value == NULL) {

        value = Py_None;

    }

    Py_INCREF(value);

    PyObject *old = op->func_module;

    op->func_module = value;

    Py_DECREF(old);

    return 0;

}

#endif

static PyGetSetDef __pyx_CyFunction_getsets[] = {

    {"func_doc", (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},

    {"__doc__",  (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},

    {"func_name", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},

    {"__name__", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},

    {"__qualname__", (getter)__Pyx_CyFunction_get_qualname, (setter)__Pyx_CyFunction_set_qualname, 0, 0},

#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000

    {"func_dict", (getter)__Pyx_CyFunction_get_dict, (setter)PyObject_GenericSetDict, 0, 0},

    {"__dict__", (getter)__Pyx_CyFunction_get_dict, (setter)PyObject_GenericSetDict, 0, 0},

#else

    {"func_dict", (getter)PyObject_GenericGetDict, (setter)PyObject_GenericSetDict, 0, 0},

    {"__dict__", (getter)PyObject_GenericGetDict, (setter)PyObject_GenericSetDict, 0, 0},

#endif

    {"func_globals", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},

    {"__globals__", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},

    {"func_closure", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},

    {"__closure__", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},

    {"func_code", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},

    {"__code__", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},

    {"func_defaults", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},

    {"__defaults__", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},

    {"__kwdefaults__", (getter)__Pyx_CyFunction_get_kwdefaults, (setter)__Pyx_CyFunction_set_kwdefaults, 0, 0},

    {"__annotations__", (getter)__Pyx_CyFunction_get_annotations, (setter)__Pyx_CyFunction_set_annotations, 0, 0},

    {"__annotate__", (getter)__Pyx_CyFunction_get_annotate, (setter)__Pyx_CyFunction_set_annotate, 0, 0},

#if __PYX_LIMITED_VERSION_HEX < 0x030B0000

    {"_is_coroutine", (getter)__Pyx_CyFunction_get_is_coroutine, 0, 0, 0},

#endif

#if CYTHON_COMPILING_IN_LIMITED_API

    {"__module__", (getter)__Pyx_CyFunction_get_module, (setter)__Pyx_CyFunction_set_module, 0, 0},

#endif

    {0, 0, 0, 0, 0}

};

static PyMemberDef __pyx_CyFunction_members[] = {

#if !CYTHON_COMPILING_IN_LIMITED_API

    {"__module__", T_OBJECT, offsetof(PyCFunctionObject, m_module), 0, 0},

#endif

#if PY_VERSION_HEX < 0x030C0000 || CYTHON_COMPILING_IN_LIMITED_API

    {"__dictoffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_dict),

        __PYX_SHARED_RELATIVE_OFFSET | READONLY, 0},

#endif

#if CYTHON_VECTORCALL

#if CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_PYPY

    {"__vectorcalloffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_vectorcall),

        __PYX_SHARED_RELATIVE_OFFSET | READONLY, 0},

#else

    {"__vectorcalloffset__", T_PYSSIZET, offsetof(PyCFunctionObject, vectorcall), READONLY, 0},

#endif

#if CYTHON_COMPILING_IN_LIMITED_API

    {"__weaklistoffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_weakreflist),

        __PYX_SHARED_RELATIVE_OFFSET | READONLY, 0},

#else

    {"__weaklistoffset__", T_PYSSIZET, offsetof(PyCFunctionObject, m_weakreflist), READONLY, 0},

#endif

#endif

    {0, 0, 0,  0, 0}

};

static PyObject *

__Pyx_CyFunction_reduce(PyObject *m_in, PyObject *args)

{

    PyObject *result = NULL;

    __pyx_CyFunctionObject *m = __Pyx_as_CyFunctionObject(m_in);

    CYTHON_UNUSED_VAR(args);

    __Pyx_BEGIN_CRITICAL_SECTION(m_in);

    Py_INCREF(m->func_qualname);

    result = m->func_qualname;

    __Pyx_END_CRITICAL_SECTION();

    return result;

}

static PyMethodDef __pyx_CyFunction_methods[] = {

    {"__annotate_cython__", __Pyx_CyFunction_annotate_impl, METH_O,

        "Placeholder __annotate__ function to allow 'functools.wraps' to work "

        "on Cython functions."},

    {"__reduce__", (PyCFunction)__Pyx_CyFunction_reduce, METH_NOARGS, 0},

    {0, 0, 0, 0}

};

static PyObject *

__Pyx_CyFunction_get_annotate(PyObject *op_in, void *context) {

    PyObject *annotate = NULL;

    CYTHON_UNUSED_VAR(context);

    if (unlikely(__Pyx_CyFunction_get_annotate_from_dict_if_exists(op_in, &annotate) < 0)) return NULL;

    if (annotate) return annotate;

    PyObject *method = PyCFunction_New(

        &__pyx_CyFunction_methods[0],

        op_in);

    return method;

}

#if CYTHON_COMPILING_IN_LIMITED_API

#define __Pyx_CyFunction_weakreflist(cyfunc) ((cyfunc)->func_weakreflist)

#else

#define __Pyx_CyFunction_weakreflist(cyfunc) (((PyCFunctionObject*)cyfunc)->m_weakreflist)

#endif

static PyObject *__Pyx_CyFunction_Init(PyObject *op_in,

                                       PyMethodDef *ml, int flags, PyObject* qualname,

                                       PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {

    __pyx_CyFunctionObject* op = __Pyx_as_CyFunctionObject(op_in);

#if !CYTHON_COMPILING_IN_LIMITED_API

    PyCFunctionObject *cf = (PyCFunctionObject*) op;

#endif

    if (unlikely(op == NULL))

        return NULL;

#if CYTHON_COMPILING_IN_LIMITED_API

    op->func_methoddef = ml;

    Py_INCREF(module);

    op->func_module = module;

#endif

    op->flags = flags;

    __Pyx_CyFunction_weakreflist(op) = NULL;

#if !CYTHON_COMPILING_IN_LIMITED_API

    cf->m_ml = ml;

    cf->m_self = (PyObject *) op;

#endif

    Py_XINCREF(closure);

    op->func_closure = closure;

#if !CYTHON_COMPILING_IN_LIMITED_API

    Py_XINCREF(module);

    cf->m_module = module;

#endif

#if PY_VERSION_HEX < 0x030C0000 || CYTHON_COMPILING_IN_LIMITED_API

    op->func_dict = NULL;

#endif

    op->func_name = NULL;

    Py_INCREF(qualname);

    op->func_qualname = qualname;

    op->func_doc = NULL;

#if CYTHON_COMPILING_IN_LIMITED_API

    op->func_classobj = NULL;

#else

    ((PyCMethodObject*)op)->mm_class = NULL;

#endif

    op->func_globals = globals;

    Py_INCREF(op->func_globals);

    Py_XINCREF(code);

    op->func_code = code;

    op->defaults = NULL;

    op->defaults_tuple = NULL;

    op->defaults_kwdict = NULL;

    op->defaults_getter = NULL;

    op->func_annotations = NULL;

#if __PYX_LIMITED_VERSION_HEX < 0x030B0000

    op->func_is_coroutine = NULL;

#endif

#if CYTHON_VECTORCALL

    switch (ml->ml_flags & (METH_VARARGS | METH_FASTCALL | METH_NOARGS | METH_O | METH_KEYWORDS | METH_METHOD)) {

    case METH_NOARGS:

        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_NOARGS;

        break;

    case METH_O:

        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_O;

        break;

    case METH_METHOD | METH_FASTCALL | METH_KEYWORDS:

        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS_METHOD;

        break;

    case METH_FASTCALL | METH_KEYWORDS:

        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS;

        break;

    case METH_VARARGS | METH_KEYWORDS:

        __Pyx_CyFunction_func_vectorcall(op) = NULL;

        break;

    default:

        PyErr_SetString(PyExc_SystemError, "Bad call flags for CyFunction");

        Py_DECREF(op_in);

        return NULL;

    }

#endif

    return op_in;

}

static int __Pyx__CyFunction_clear(__pyx_CyFunctionObject *m)

{

    Py_CLEAR(m->func_closure);

#if CYTHON_COMPILING_IN_LIMITED_API

    Py_CLEAR(m->func_module);

#else

    Py_CLEAR(((PyCFunctionObject*)m)->m_module);

#endif

#if PY_VERSION_HEX < 0x030C0000 || CYTHON_COMPILING_IN_LIMITED_API

    Py_CLEAR(m->func_dict);

#elif PY_VERSION_HEX < 0x030d0000

    _PyObject_ClearManagedDict((PyObject*)m);

#else

    PyObject_ClearManagedDict((PyObject*)m);

#endif

    Py_CLEAR(m->func_name);

    Py_CLEAR(m->func_qualname);

    Py_CLEAR(m->func_doc);

    Py_CLEAR(m->func_globals);

    Py_CLEAR(m->func_code);

#if CYTHON_COMPILING_IN_LIMITED_API

    Py_CLEAR(m->func_classobj);

#else

    {

        PyObject *cls = (PyObject*) ((PyCMethodObject *) (m))->mm_class;

        ((PyCMethodObject *) (m))->mm_class = NULL;

        Py_XDECREF(cls);

    }

#endif

    Py_CLEAR(m->defaults_tuple);

    Py_CLEAR(m->defaults_kwdict);

    Py_CLEAR(m->func_annotations);

#if __PYX_LIMITED_VERSION_HEX < 0x030B0000

    Py_CLEAR(m->func_is_coroutine);

#endif

    Py_CLEAR(m->defaults);

    return 0;

}

static int

__Pyx_CyFunction_clear(PyObject *m)

{

    return __Pyx__CyFunction_clear(__Pyx_as_CyFunctionObject(m));

}

static void __Pyx__CyFunction_dealloc(PyObject *m)

{

    __pyx_CyFunctionObject *cyfunc = __Pyx_as_CyFunctionObject(m);

    if (__Pyx_CyFunction_weakreflist(cyfunc) != NULL)

        PyObject_ClearWeakRefs(m);

    __Pyx__CyFunction_clear(cyfunc);

    __Pyx_PyHeapTypeObject_GC_Del(m);

}

static void __Pyx_CyFunction_dealloc(PyObject *m)

{

    PyObject_GC_UnTrack(m);

    __Pyx__CyFunction_dealloc(m);

}

static int __Pyx_CyFunction_traverse(PyObject *m_in, visitproc visit, void *arg)

{

    __pyx_CyFunctionObject *m = __Pyx_as_CyFunctionObject(m_in);

    {

        int e = __Pyx_call_type_traverse(m_in, 1, visit, arg);

        if (e) return e;

    }

    Py_VISIT(m->func_closure);

#if CYTHON_COMPILING_IN_LIMITED_API

    Py_VISIT(m->func_module);

#else

    Py_VISIT(((PyCFunctionObject*)m)->m_module);

#endif

#if PY_VERSION_HEX < 0x030C0000 || CYTHON_COMPILING_IN_LIMITED_API

    Py_VISIT(m->func_dict);

#else

    {

        int e =

#if PY_VERSION_HEX < 0x030d0000

            _PyObject_VisitManagedDict

#else

            PyObject_VisitManagedDict

#endif

                ((PyObject*)m, visit, arg);

        if (e != 0) return e;

    }

#endif

    __Pyx_VISIT_CONST(m->func_name);

    __Pyx_VISIT_CONST(m->func_qualname);

    Py_VISIT(m->func_doc);

    Py_VISIT(m->func_globals);

    __Pyx_VISIT_CONST(m->func_code);

    Py_VISIT(__Pyx__CyFunction_GetClassObj(m));

    Py_VISIT(m->defaults_tuple);

    Py_VISIT(m->defaults_kwdict);

    Py_VISIT(m->func_annotations);

#if __PYX_LIMITED_VERSION_HEX < 0x030B0000

    Py_VISIT(m->func_is_coroutine);

#endif

    Py_VISIT(m->defaults);

    return 0;

}

static PyObject*

__Pyx_CyFunction_repr(PyObject *op_in)

{

    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);

    PyObject *repr;

    __Pyx_BEGIN_CRITICAL_SECTION(op_in);

    repr = PyUnicode_FromFormat("<cyfunction %U at %p>",

                                op->func_qualname, (void *)op);

    __Pyx_END_CRITICAL_SECTION();

    return repr;

}

static PyObject * __Pyx_CyFunction_CallMethod(PyObject *func, PyObject *self, PyObject *arg, PyObject *kw) {

#if CYTHON_COMPILING_IN_LIMITED_API

    __pyx_CyFunctionObject *cyfunc = __Pyx_as_CyFunctionObject(func);

    PyCFunction meth = cyfunc->func_methoddef->ml_meth;

    int flags = cyfunc->func_methoddef->ml_flags;

#else

    PyCFunctionObject* f = (PyCFunctionObject*)func;

    PyCFunction meth = f->m_ml->ml_meth;

    int flags = f->m_ml->ml_flags;

#endif

    Py_ssize_t size;

    switch (flags & (METH_VARARGS | METH_KEYWORDS | METH_NOARGS | METH_O)) {

    case METH_VARARGS:

        if (likely(kw == NULL || PyDict_Size(kw) == 0))

            return (*meth)(self, arg);

        break;

    case METH_VARARGS | METH_KEYWORDS:

        return (*(PyCFunctionWithKeywords)(void(*)(void))meth)(self, arg, kw);

    case METH_NOARGS:

        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {

#if CYTHON_ASSUME_SAFE_SIZE

            size = PyTuple_GET_SIZE(arg);

#else

            size = PyTuple_Size(arg);

            if (unlikely(size < 0)) return NULL;

#endif

            if (likely(size == 0))

                return (*meth)(self, NULL);

            __Pyx_CyFunction_raise_argument_count_error(

                func,

                "takes no arguments", size);

            return NULL;

        }

        break;

    case METH_O:

        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {

#if CYTHON_ASSUME_SAFE_SIZE

            size = PyTuple_GET_SIZE(arg);

#else

            size = PyTuple_Size(arg);

            if (unlikely(size < 0)) return NULL;

#endif

            if (likely(size == 1)) {

                PyObject *result, *arg0;

                #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS

                arg0 = PyTuple_GET_ITEM(arg, 0);

                #else

                arg0 = __Pyx_PySequence_ITEM(arg, 0); if (unlikely(!arg0)) return NULL;

                #endif

                result = (*meth)(self, arg0);

                #if !(CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)

                Py_DECREF(arg0);

                #endif

                return result;

            }

            __Pyx_CyFunction_raise_argument_count_error(

                func,

                "takes exactly one argument", size);

            return NULL;

        }

        break;

    default:

        PyErr_SetString(PyExc_SystemError, "Bad call flags for CyFunction");

        return NULL;

    }

    __Pyx_CyFunction_raise_type_error(

        func, "takes no keyword arguments");

    return NULL;

}

static CYTHON_INLINE PyObject *__Pyx_CyFunction_Call(PyObject *func, PyObject *arg, PyObject *kw) {

    PyObject *result;

    result = __Pyx_CyFunction_CallMethod(func, func, arg, kw);

    return result;

}

static PyObject *__Pyx_CyFunction_CallAsMethod(PyObject *func, PyObject *args, PyObject *kw) {

    PyObject *result;

    __pyx_CyFunctionObject *cyfunc = __Pyx_as_CyFunctionObject(func);

#if CYTHON_VECTORCALL

     __pyx_vectorcallfunc vc = __Pyx_CyFunction_func_vectorcall(cyfunc);

    if (vc) {

#if CYTHON_ASSUME_SAFE_MACROS && CYTHON_ASSUME_SAFE_SIZE

        return __Pyx_PyVectorcall_FastCallDict(func, vc, &PyTuple_GET_ITEM(args, 0), (size_t)PyTuple_GET_SIZE(args), kw);

#else

        (void) &__Pyx_PyVectorcall_FastCallDict;

        return PyVectorcall_Call(func, args, kw);

#endif

    }

#endif

    if ((cyfunc->flags & __Pyx_CYFUNCTION_CCLASS) && !(cyfunc->flags & __Pyx_CYFUNCTION_STATICMETHOD)) {

        Py_ssize_t argc;

        PyObject *new_args;

        PyObject *self;

#if CYTHON_ASSUME_SAFE_SIZE

        argc = PyTuple_GET_SIZE(args);

#else

        argc = PyTuple_Size(args);

        if (unlikely(argc < 0)) return NULL;

#endif

        new_args = PyTuple_GetSlice(args, 1, argc);

        if (unlikely(!new_args))

            return NULL;

        self = PyTuple_GetItem(args, 0);

        if (unlikely(!self)) {

            Py_DECREF(new_args);

            PyErr_Format(PyExc_TypeError,

                         "unbound method %.200S() needs an argument",

                         cyfunc->func_qualname);

            return NULL;

        }

        result = __Pyx_CyFunction_CallMethod(func, self, new_args, kw);

        Py_DECREF(new_args);

    } else {

        result = __Pyx_CyFunction_Call(func, args, kw);

    }

    return result;

}

#if CYTHON_VECTORCALL

static CYTHON_INLINE int __Pyx_CyFunction_Vectorcall_CheckArgs(PyObject *func, __pyx_CyFunctionObject *cyfunc, Py_ssize_t nargs, PyObject *kwnames)

{

    int ret = 0;

    if ((cyfunc->flags & __Pyx_CYFUNCTION_CCLASS) && !(cyfunc->flags & __Pyx_CYFUNCTION_STATICMETHOD)) {

        if (unlikely(nargs < 1)) {

            __Pyx_CyFunction_raise_type_error(

                func, "needs an argument");

            return -1;

        }

        ret = 1;

    }

    if (unlikely(kwnames) && unlikely(__Pyx_PyTuple_GET_SIZE(kwnames))) {

        __Pyx_CyFunction_raise_type_error(

            func, "takes no keyword arguments");

        return -1;

    }

    return ret;

}

static PyObject * __Pyx_CyFunction_Vectorcall_NOARGS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)

{

    __pyx_CyFunctionObject *cyfunc = __Pyx_as_CyFunctionObject(func);

    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);

    PyObject *self;

#if CYTHON_COMPILING_IN_LIMITED_API

    PyCFunction meth = cyfunc->func_methoddef->ml_meth;

    if (unlikely(!meth)) return NULL;

#else

    PyCFunction meth = ((PyCFunctionObject*)cyfunc)->m_ml->ml_meth;

#endif

    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(func, cyfunc, nargs, kwnames)) {

    case 1:

        self = args[0];

        args += 1;

        nargs -= 1;

        break;

    case 0:

        self = func;

        break;

    default:

        return NULL;

    }

    if (unlikely(nargs != 0)) {

        __Pyx_CyFunction_raise_argument_count_error(

            func, "takes no arguments", nargs);

        return NULL;

    }

    return meth(self, NULL);

}

static PyObject * __Pyx_CyFunction_Vectorcall_O(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)

{

    __pyx_CyFunctionObject *cyfunc = __Pyx_as_CyFunctionObject(func);

    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);

    PyObject *self;

#if CYTHON_COMPILING_IN_LIMITED_API

    PyCFunction meth = cyfunc->func_methoddef->ml_meth;

    if (unlikely(!meth)) return NULL;

#else

    PyCFunction meth = ((PyCFunctionObject*)cyfunc)->m_ml->ml_meth;

#endif

    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(func, cyfunc, nargs, kwnames)) {

    case 1:

        self = args[0];

        args += 1;

        nargs -= 1;

        break;

    case 0:

        self = func;

        break;

    default:

        return NULL;

    }

    if (unlikely(nargs != 1)) {

        __Pyx_CyFunction_raise_argument_count_error(

            func, "takes exactly one argument", nargs);

        return NULL;

    }

    return meth(self, args[0]);

}

static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)

{

    __pyx_CyFunctionObject *cyfunc = __Pyx_as_CyFunctionObject(func);

    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);

    PyObject *self;

#if CYTHON_COMPILING_IN_LIMITED_API

    PyCFunction meth = cyfunc->func_methoddef->ml_meth;

    if (unlikely(!meth)) return NULL;

#else

    PyCFunction meth = ((PyCFunctionObject*)cyfunc)->m_ml->ml_meth;

#endif

    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(func, cyfunc, nargs, NULL)) {

    case 1:

        self = args[0];

        args += 1;

        nargs -= 1;

        break;

    case 0:

        self = func;

        break;

    default:

        return NULL;

    }

    return ((__Pyx_PyCFunctionFastWithKeywords)(void(*)(void))meth)(self, args, nargs, kwnames);

}

static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS_METHOD(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)

{

    __pyx_CyFunctionObject *cyfunc = __Pyx_as_CyFunctionObject(func);

    PyTypeObject *cls = (PyTypeObject *) __Pyx__CyFunction_GetClassObj(cyfunc);

    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);

    PyObject *self;

#if CYTHON_COMPILING_IN_LIMITED_API

    PyCFunction meth = cyfunc->func_methoddef->ml_meth;

    if (unlikely(!meth)) return NULL;

#else

    PyCFunction meth = ((PyCFunctionObject*)cyfunc)->m_ml->ml_meth;

#endif

    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(func, cyfunc, nargs, NULL)) {

    case 1:

        self = args[0];

        args += 1;

        nargs -= 1;

        break;

    case 0:

        self = func;

        break;

    default:

        return NULL;

    }

    #if PY_VERSION_HEX < 0x030e00A6

    size_t nargs_value = (size_t) nargs;

    #else

    Py_ssize_t nargs_value = nargs;

    #endif

    return ((__Pyx_PyCMethod)(void(*)(void))meth)(self, cls, args, nargs_value, kwnames);

}

#endif

static PyType_Slot __pyx_CyFunctionType_slots[] = {

    {Py_tp_dealloc, (void *)__Pyx_CyFunction_dealloc},

    {Py_tp_repr, (void *)__Pyx_CyFunction_repr},

    {Py_tp_call, (void *)__Pyx_CyFunction_CallAsMethod},

    {Py_tp_traverse, (void *)__Pyx_CyFunction_traverse},

    {Py_tp_clear, (void *)__Pyx_CyFunction_clear},

    {Py_tp_methods, (void *)__pyx_CyFunction_methods},

    {Py_tp_members, (void *)__pyx_CyFunction_members},

    {Py_tp_getset, (void *)__pyx_CyFunction_getsets},

    {Py_tp_descr_get, (void *)__Pyx_PyMethod_New},

    {0, 0},

};

static PyType_Spec __pyx_CyFunctionType_spec = {

    __PYX_TYPE_MODULE_PREFIX "cython_function_or_method",

    __PYX_SHARED_SIZEOF(__pyx_CyFunctionObject),

    0,

#ifdef Py_TPFLAGS_METHOD_DESCRIPTOR

    Py_TPFLAGS_METHOD_DESCRIPTOR |

#endif

#if CYTHON_VECTORCALL

#if defined(Py_TPFLAGS_HAVE_VECTORCALL)

    Py_TPFLAGS_HAVE_VECTORCALL |

#elif defined(_Py_TPFLAGS_HAVE_VECTORCALL)

    _Py_TPFLAGS_HAVE_VECTORCALL |

#endif

#endif // CYTHON_VECTORCALL

#if PY_VERSION_HEX >= 0x030C0000 && !CYTHON_COMPILING_IN_LIMITED_API

    Py_TPFLAGS_MANAGED_DICT |

#endif

    Py_TPFLAGS_IMMUTABLETYPE | Py_TPFLAGS_DISALLOW_INSTANTIATION |

    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_BASETYPE,

    __pyx_CyFunctionType_slots

};

static int __pyx_CyFunction_init(PyObject *module) {

    __pyx_mstatetype *mstate = __Pyx_PyModule_GetState(module);

    mstate->__pyx_CyFunctionType = __Pyx_FetchCommonTypeFromSpec(

        mstate->__pyx_CommonTypesMetaclassType, module, &__pyx_CyFunctionType_spec, NULL);

    if (unlikely(mstate->__pyx_CyFunctionType == NULL)) {

        return -1;

    }

    return 0;

}


/* CythonFunction */

static PyObject *__Pyx_CyFunction_New(PyMethodDef *ml, int flags, PyObject* qualname,

                                      PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {

    (void)&__Pyx_Get_CyFunction_Type;

    PyObject *op = __Pyx_CyFunction_Init(

        PyObject_GC_New(PyObject, __pyx_mstate_global->__pyx_CyFunctionType),

        ml, flags, qualname, closure, module, globals, code

    );

    if (likely(op)) {

        PyObject_GC_Track(op);

    }

    return op;

}

static PyTypeObject *__Pyx_Get_CyFunction_Type(void) {

    PyTypeObject *tp = __pyx_mstate_global->__pyx_CyFunctionType;

    Py_INCREF((PyObject*)tp);

    return tp;

}


/* PyDictVersioning (used by CLineInTraceback) */

#if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS

static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj) {

    PyObject *dict = Py_TYPE(obj)->tp_dict;

    return likely(dict) ? __PYX_GET_DICT_VERSION(dict) : 0;

}

static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj) {

    PyObject **dictptr = NULL;

    Py_ssize_t offset = Py_TYPE(obj)->tp_dictoffset;

    if (offset) {

#if CYTHON_COMPILING_IN_CPYTHON

        dictptr = (likely(offset > 0)) ? (PyObject **) ((char *)obj + offset) : _PyObject_GetDictPtr(obj);

#else

        dictptr = _PyObject_GetDictPtr(obj);

#endif

    }

    return (dictptr && *dictptr) ? __PYX_GET_DICT_VERSION(*dictptr) : 0;

}

static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version) {

    PyObject *dict = Py_TYPE(obj)->tp_dict;

    if (unlikely(!dict) || unlikely(tp_dict_version != __PYX_GET_DICT_VERSION(dict)))

        return 0;

    return obj_dict_version == __Pyx_get_object_dict_version(obj);

}

#endif


/* CLineInTraceback (used by AddTraceback) */

#if CYTHON_CLINE_IN_TRACEBACK && CYTHON_CLINE_IN_TRACEBACK_RUNTIME

#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000

#define __Pyx_PyProbablyModule_GetDict(o) __Pyx_XNewRef(PyModule_GetDict(o))

#elif !CYTHON_COMPILING_IN_CPYTHON || CYTHON_COMPILING_IN_CPYTHON_FREETHREADING

#define __Pyx_PyProbablyModule_GetDict(o) PyObject_GenericGetDict(o, NULL);

#else

PyObject* __Pyx_PyProbablyModule_GetDict(PyObject *o) {

    PyObject **dict_ptr = _PyObject_GetDictPtr(o);

    return dict_ptr ? __Pyx_XNewRef(*dict_ptr) : NULL;

}

#endif

static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line) {

    PyObject *use_cline = NULL;

    PyObject *ptype, *pvalue, *ptraceback;

    PyObject *cython_runtime_dict;

    CYTHON_MAYBE_UNUSED_VAR(tstate);

    if (unlikely(!__pyx_mstate_global->__pyx_cython_runtime)) {

        return c_line;

    }

    __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);

    cython_runtime_dict = __Pyx_PyProbablyModule_GetDict(__pyx_mstate_global->__pyx_cython_runtime);

    if (likely(cython_runtime_dict)) {

        __PYX_PY_DICT_LOOKUP_IF_MODIFIED(

            use_cline, cython_runtime_dict,

            __Pyx_PyDict_SetDefault(cython_runtime_dict, __pyx_mstate_global->__pyx_n_u_cline_in_traceback, Py_False))

    }

    if (use_cline == NULL || use_cline == Py_False || (use_cline != Py_True && PyObject_Not(use_cline) != 0)) {

        c_line = 0;

    }

    Py_XDECREF(use_cline);

    Py_XDECREF(cython_runtime_dict);

    __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback);

    return c_line;

}

#endif


/* CodeObjectCache (used by AddTraceback) */

static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line) {

    int start = 0, mid = 0, end = count - 1;

    if (end >= 0 && code_line > entries[end].code_line) {

        return count;

    }

    while (start < end) {

        mid = start + (end - start) / 2;

        if (code_line < entries[mid].code_line) {

            end = mid;

        } else if (code_line > entries[mid].code_line) {

             start = mid + 1;

        } else {

            return mid;

        }

    }

    if (code_line <= entries[mid].code_line) {

        return mid;

    } else {

        return mid + 1;

    }

}

static __Pyx_CachedCodeObjectType *__pyx__find_code_object(struct __Pyx_CodeObjectCache *code_cache, int code_line) {

    __Pyx_CachedCodeObjectType* code_object;

    int pos;

    if (unlikely(!code_line) || unlikely(!code_cache->entries)) {

        return NULL;

    }

    pos = __pyx_bisect_code_objects(code_cache->entries, code_cache->count, code_line);

    if (unlikely(pos >= code_cache->count) || unlikely(code_cache->entries[pos].code_line != code_line)) {

        return NULL;

    }

    code_object = code_cache->entries[pos].code_object;

    Py_INCREF(code_object);

    return code_object;

}

static __Pyx_CachedCodeObjectType *__pyx_find_code_object(int code_line) {

#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING && !CYTHON_ATOMICS

    (void)__pyx__find_code_object;

    return NULL; // Most implementation should have atomics. But otherwise, don't make it thread-safe, just miss.

#else

    struct __Pyx_CodeObjectCache *code_cache = &__pyx_mstate_global->__pyx_code_cache;

#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING

    __pyx_nonatomic_int_type old_count = __pyx_atomic_incr_acq_rel(&code_cache->accessor_count);

    if (old_count < 0) {

        __pyx_atomic_decr_acq_rel(&code_cache->accessor_count);

        return NULL;

    }

#endif

    __Pyx_CachedCodeObjectType *result = __pyx__find_code_object(code_cache, code_line);

#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING

    __pyx_atomic_decr_acq_rel(&code_cache->accessor_count);

#endif

    return result;

#endif

}

static void __pyx__insert_code_object(struct __Pyx_CodeObjectCache *code_cache, int code_line, __Pyx_CachedCodeObjectType* code_object)

{

    int pos, i;

    __Pyx_CodeObjectCacheEntry* entries = code_cache->entries;

    if (unlikely(!code_line)) {

        return;

    }

    if (unlikely(!entries)) {

        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Malloc(64*sizeof(__Pyx_CodeObjectCacheEntry));

        if (likely(entries)) {

            code_cache->entries = entries;

            code_cache->max_count = 64;

            code_cache->count = 1;

            entries[0].code_line = code_line;

            entries[0].code_object = code_object;

            Py_INCREF(code_object);

        }

        return;

    }

    pos = __pyx_bisect_code_objects(code_cache->entries, code_cache->count, code_line);

    if ((pos < code_cache->count) && unlikely(code_cache->entries[pos].code_line == code_line)) {

        __Pyx_CachedCodeObjectType* tmp = entries[pos].code_object;

        entries[pos].code_object = code_object;

        Py_INCREF(code_object);

        Py_DECREF(tmp);

        return;

    }

    if (code_cache->count == code_cache->max_count) {

        int new_max = code_cache->max_count + 64;

        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Realloc(

            code_cache->entries, ((size_t)new_max) * sizeof(__Pyx_CodeObjectCacheEntry));

        if (unlikely(!entries)) {

            return;

        }

        code_cache->entries = entries;

        code_cache->max_count = new_max;

    }

    for (i=code_cache->count; i>pos; i--) {

        entries[i] = entries[i-1];

    }

    entries[pos].code_line = code_line;

    entries[pos].code_object = code_object;

    code_cache->count++;

    Py_INCREF(code_object);

}

static void __pyx_insert_code_object(int code_line, __Pyx_CachedCodeObjectType* code_object) {

#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING && !CYTHON_ATOMICS

    (void)__pyx__insert_code_object;

    return; // Most implementation should have atomics. But otherwise, don't make it thread-safe, just fail.

#else

    struct __Pyx_CodeObjectCache *code_cache = &__pyx_mstate_global->__pyx_code_cache;

#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING

    __pyx_nonatomic_int_type expected = 0;

    if (!__pyx_atomic_int_cmp_exchange(&code_cache->accessor_count, &expected, INT_MIN)) {

        return;

    }

#endif

    __pyx__insert_code_object(code_cache, code_line, code_object);

#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING

    __pyx_atomic_sub(&code_cache->accessor_count, INT_MIN);

#endif

#endif

}


/* AddTraceback */

#include "compile.h"

#include "frameobject.h"

#include "traceback.h"

#if PY_VERSION_HEX >= 0x030b00a6 && !CYTHON_COMPILING_IN_LIMITED_API && !defined(PYPY_VERSION)

  #ifndef Py_BUILD_CORE

    #define Py_BUILD_CORE 1

  #endif

  #include "internal/pycore_frame.h"

#endif

#if CYTHON_COMPILING_IN_LIMITED_API

static PyObject *__Pyx_PyCode_Replace_For_AddTraceback(PyObject *code, PyObject *scratch_dict,

                                                       PyObject *firstlineno, PyObject *name) {

    PyObject *replace = NULL;

    if (unlikely(PyDict_SetItemString(scratch_dict, "co_firstlineno", firstlineno))) return NULL;

    if (unlikely(PyDict_SetItemString(scratch_dict, "co_name", name))) return NULL;

    replace = PyObject_GetAttrString(code, "replace");

    if (likely(replace)) {

        PyObject *result = PyObject_Call(replace, __pyx_mstate_global->__pyx_empty_tuple, scratch_dict);

        Py_DECREF(replace);

        return result;

    }

    return NULL;

}

static void __Pyx_AddTraceback(const char *funcname, int c_line,

                               int py_line, const char *filename) {

    PyObject *code_object = NULL, *py_py_line = NULL, *py_funcname = NULL, *dict = NULL;

    PyObject *replace = NULL, *getframe = NULL, *frame = NULL;

    PyObject *exc_type, *exc_value, *exc_traceback;

    int success = 0;

    if (c_line) {

        c_line = __Pyx_CLineForTraceback(__Pyx_PyThreadState_Current, c_line);

    }

    __Pyx_PyErr_FetchException(&exc_type, &exc_value, &exc_traceback);

    code_object = __pyx_find_code_object(c_line ? -c_line : py_line);

    if (!code_object) {

        code_object = Py_CompileString("_getframe()", filename, Py_eval_input);

        if (unlikely(!code_object)) goto bad;

        py_py_line = PyLong_FromLong(py_line);

        if (unlikely(!py_py_line)) goto bad;

        if (c_line) {

            py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);

        } else {

            py_funcname = PyUnicode_FromString(funcname);

        }

        if (unlikely(!py_funcname)) goto bad;

        dict = PyDict_New();

        if (unlikely(!dict)) goto bad;

        {

            PyObject *old_code_object = code_object;

            code_object = __Pyx_PyCode_Replace_For_AddTraceback(code_object, dict, py_py_line, py_funcname);

            Py_DECREF(old_code_object);

        }

        if (unlikely(!code_object)) goto bad;

        __pyx_insert_code_object(c_line ? -c_line : py_line, code_object);

    } else {

        dict = PyDict_New();

    }

    getframe = PySys_GetObject("_getframe");

    if (unlikely(!getframe)) goto bad;

    if (unlikely(PyDict_SetItemString(dict, "_getframe", getframe))) goto bad;

    frame = PyEval_EvalCode(code_object, dict, dict);

    if (unlikely(!frame) || frame == Py_None) goto bad;

    success = 1;

  bad:

    __Pyx_PyErr_RestoreException(exc_type, exc_value, exc_traceback);

    Py_XDECREF(code_object);

    Py_XDECREF(py_py_line);

    Py_XDECREF(py_funcname);

    Py_XDECREF(dict);

    Py_XDECREF(replace);

    if (success) {

        PyTraceBack_Here(

            (struct _frame*)frame);

    }

    Py_XDECREF(frame);

}

#else

static PyCodeObject* __Pyx_CreateCodeObjectForTraceback(

            const char *funcname, int c_line,

            int py_line, const char *filename) {

    PyCodeObject *py_code = NULL;

    PyObject *py_funcname = NULL;

    if (c_line) {

        py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);

        if (!py_funcname) goto bad;

        funcname = PyUnicode_AsUTF8(py_funcname);

        if (!funcname) goto bad;

    }

    py_code = PyCode_NewEmpty(filename, funcname, py_line);

    Py_XDECREF(py_funcname);

    return py_code;

bad:

    Py_XDECREF(py_funcname);

    return NULL;

}

static void __Pyx_AddTraceback(const char *funcname, int c_line,

                               int py_line, const char *filename) {

    PyCodeObject *py_code = 0;

    PyFrameObject *py_frame = 0;

    PyThreadState *tstate = __Pyx_PyThreadState_Current;

    PyObject *ptype, *pvalue, *ptraceback;

    if (c_line) {

        c_line = __Pyx_CLineForTraceback(tstate, c_line);

    }

    py_code = __pyx_find_code_object(c_line ? -c_line : py_line);

    if (!py_code) {

        __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);

        py_code = __Pyx_CreateCodeObjectForTraceback(

            funcname, c_line, py_line, filename);

        if (!py_code) {

            /* If the code object creation fails, then we should clear the

               fetched exception references and propagate the new exception */

            Py_XDECREF(ptype);

            Py_XDECREF(pvalue);

            Py_XDECREF(ptraceback);

            goto bad;

        }

        __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback);

        __pyx_insert_code_object(c_line ? -c_line : py_line, py_code);

    }

    py_frame = PyFrame_New(

        tstate,            /*PyThreadState *tstate,*/

        py_code,           /*PyCodeObject *code,*/

        __pyx_mstate_global->__pyx_d,    /*PyObject *globals,*/

        0                  /*PyObject *locals*/

    );

    if (!py_frame) goto bad;

    __Pyx_PyFrame_SetLineNumber(py_frame, py_line);

    PyTraceBack_Here(py_frame);

bad:

    Py_XDECREF(py_code);

    Py_XDECREF(py_frame);

}

#endif


/* CIntFromPyVerify */

#define __PYX_VERIFY_RETURN_INT(target_type, func_type, func_value)\

    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 0)

#define __PYX_VERIFY_RETURN_INT_EXC(target_type, func_type, func_value)\

    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 1)

#define __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, exc)\

    {\

        func_type value = func_value;\

        if (sizeof(target_type) < sizeof(func_type)) {\

            if (unlikely(value != (func_type) (target_type) value)) {\

                func_type zero = 0;\

                if (exc && unlikely(value == (func_type)-1 && PyErr_Occurred()))\

                    return (target_type) -1;\

                if (is_unsigned && unlikely(value < zero))\

                    goto raise_neg_overflow;\

                else\

                    goto raise_overflow;\

            }\

        }\

        return (target_type) value;\

    }


/* Declarations */

#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)

  #ifdef __cplusplus

    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {

      return ::std::complex< float >(x, y);

    }

  #else

    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {

      return x + y*(__pyx_t_float_complex)_Complex_I;

    }

  #endif

#else

    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {

      __pyx_t_float_complex z;

      z.real = x;

      z.imag = y;

      return z;

    }

#endif


/* Arithmetic */

#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)

#else

    static CYTHON_INLINE int __Pyx_c_eq_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {

       return (a.real == b.real) && (a.imag == b.imag);

    }

    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sum_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {

        __pyx_t_float_complex z;

        z.real = a.real + b.real;

        z.imag = a.imag + b.imag;

        return z;

    }

    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_diff_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {

        __pyx_t_float_complex z;

        z.real = a.real - b.real;

        z.imag = a.imag - b.imag;

        return z;

    }

    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prod_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {

        __pyx_t_float_complex z;

        z.real = a.real * b.real - a.imag * b.imag;

        z.imag = a.real * b.imag + a.imag * b.real;

        return z;

    }

    #if 1

    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {

        if (b.imag == 0) {

            return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.real);

        } else if (fabsf(b.real) >= fabsf(b.imag)) {

            if (b.real == 0 && b.imag == 0) {

                return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.imag);

            } else {

                float r = b.imag / b.real;

                float s = (float)(1.0) / (b.real + b.imag * r);

                return __pyx_t_float_complex_from_parts(

                    (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);

            }

        } else {

            float r = b.real / b.imag;

            float s = (float)(1.0) / (b.imag + b.real * r);

            return __pyx_t_float_complex_from_parts(

                (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);

        }

    }

    #else

    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {

        if (b.imag == 0) {

            return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.real);

        } else {

            float denom = b.real * b.real + b.imag * b.imag;

            return __pyx_t_float_complex_from_parts(

                (a.real * b.real + a.imag * b.imag) / denom,

                (a.imag * b.real - a.real * b.imag) / denom);

        }

    }

    #endif

    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_neg_float(__pyx_t_float_complex a) {

        __pyx_t_float_complex z;

        z.real = -a.real;

        z.imag = -a.imag;

        return z;

    }

    static CYTHON_INLINE int __Pyx_c_is_zero_float(__pyx_t_float_complex a) {

       return (a.real == 0) && (a.imag == 0);

    }

    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conj_float(__pyx_t_float_complex a) {

        __pyx_t_float_complex z;

        z.real =  a.real;

        z.imag = -a.imag;

        return z;

    }

    #if 1

        static CYTHON_INLINE float __Pyx_c_abs_float(__pyx_t_float_complex z) {

          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)

            return sqrtf(z.real*z.real + z.imag*z.imag);

          #else

            return hypotf(z.real, z.imag);

          #endif

        }

        static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_pow_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {

            __pyx_t_float_complex z;

            float r, lnr, theta, z_r, z_theta;

            if (b.imag == 0 && b.real == (int)b.real) {

                if (b.real < 0) {

                    float denom = a.real * a.real + a.imag * a.imag;

                    a.real = a.real / denom;

                    a.imag = -a.imag / denom;

                    b.real = -b.real;

                }

                switch ((int)b.real) {

                    case 0:

                        z.real = 1;

                        z.imag = 0;

                        return z;

                    case 1:

                        return a;

                    case 2:

                        return __Pyx_c_prod_float(a, a);

                    case 3:

                        z = __Pyx_c_prod_float(a, a);

                        return __Pyx_c_prod_float(z, a);

                    case 4:

                        z = __Pyx_c_prod_float(a, a);

                        return __Pyx_c_prod_float(z, z);

                }

            }

            if (a.imag == 0) {

                if (a.real == 0) {

                    return a;

                } else if ((b.imag == 0) && (a.real >= 0)) {

                    z.real = powf(a.real, b.real);

                    z.imag = 0;

                    return z;

                } else if (a.real > 0) {

                    r = a.real;

                    theta = 0;

                } else {

                    r = -a.real;

                    theta = atan2f(0.0, -1.0);

                }

            } else {

                r = __Pyx_c_abs_float(a);

                theta = atan2f(a.imag, a.real);

            }

            lnr = logf(r);

            z_r = expf(lnr * b.real - theta * b.imag);

            z_theta = theta * b.real + lnr * b.imag;

            z.real = z_r * cosf(z_theta);

            z.imag = z_r * sinf(z_theta);

            return z;

        }

    #endif

#endif


/* Declarations */

#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)

  #ifdef __cplusplus

    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {

      return ::std::complex< double >(x, y);

    }

  #else

    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {

      return x + y*(__pyx_t_double_complex)_Complex_I;

    }

  #endif

#else

    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {

      __pyx_t_double_complex z;

      z.real = x;

      z.imag = y;

      return z;

    }

#endif


/* Arithmetic */

#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)

#else

    static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {

       return (a.real == b.real) && (a.imag == b.imag);

    }

    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {

        __pyx_t_double_complex z;

        z.real = a.real + b.real;

        z.imag = a.imag + b.imag;

        return z;

    }

    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {

        __pyx_t_double_complex z;

        z.real = a.real - b.real;

        z.imag = a.imag - b.imag;

        return z;

    }

    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {

        __pyx_t_double_complex z;

        z.real = a.real * b.real - a.imag * b.imag;

        z.imag = a.real * b.imag + a.imag * b.real;

        return z;

    }

    #if 1

    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {

        if (b.imag == 0) {

            return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real);

        } else if (fabs(b.real) >= fabs(b.imag)) {

            if (b.real == 0 && b.imag == 0) {

                return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.imag);

            } else {

                double r = b.imag / b.real;

                double s = (double)(1.0) / (b.real + b.imag * r);

                return __pyx_t_double_complex_from_parts(

                    (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);

            }

        } else {

            double r = b.real / b.imag;

            double s = (double)(1.0) / (b.imag + b.real * r);

            return __pyx_t_double_complex_from_parts(

                (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);

        }

    }

    #else

    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {

        if (b.imag == 0) {

            return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real);

        } else {

            double denom = b.real * b.real + b.imag * b.imag;

            return __pyx_t_double_complex_from_parts(

                (a.real * b.real + a.imag * b.imag) / denom,

                (a.imag * b.real - a.real * b.imag) / denom);

        }

    }

    #endif

    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex a) {

        __pyx_t_double_complex z;

        z.real = -a.real;

        z.imag = -a.imag;

        return z;

    }

    static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex a) {

       return (a.real == 0) && (a.imag == 0);

    }

    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex a) {

        __pyx_t_double_complex z;

        z.real =  a.real;

        z.imag = -a.imag;

        return z;

    }

    #if 1

        static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex z) {

          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)

            return sqrt(z.real*z.real + z.imag*z.imag);

          #else

            return hypot(z.real, z.imag);

          #endif

        }

        static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {

            __pyx_t_double_complex z;

            double r, lnr, theta, z_r, z_theta;

            if (b.imag == 0 && b.real == (int)b.real) {

                if (b.real < 0) {

                    double denom = a.real * a.real + a.imag * a.imag;

                    a.real = a.real / denom;

                    a.imag = -a.imag / denom;

                    b.real = -b.real;

                }

                switch ((int)b.real) {

                    case 0:

                        z.real = 1;

                        z.imag = 0;

                        return z;

                    case 1:

                        return a;

                    case 2:

                        return __Pyx_c_prod_double(a, a);

                    case 3:

                        z = __Pyx_c_prod_double(a, a);

                        return __Pyx_c_prod_double(z, a);

                    case 4:

                        z = __Pyx_c_prod_double(a, a);

                        return __Pyx_c_prod_double(z, z);

                }

            }

            if (a.imag == 0) {

                if (a.real == 0) {

                    return a;

                } else if ((b.imag == 0) && (a.real >= 0)) {

                    z.real = pow(a.real, b.real);

                    z.imag = 0;

                    return z;

                } else if (a.real > 0) {

                    r = a.real;

                    theta = 0;

                } else {

                    r = -a.real;

                    theta = atan2(0.0, -1.0);

                }

            } else {

                r = __Pyx_c_abs_double(a);

                theta = atan2(a.imag, a.real);

            }

            lnr = log(r);

            z_r = exp(lnr * b.real - theta * b.imag);

            z_theta = theta * b.real + lnr * b.imag;

            z.real = z_r * cos(z_theta);

            z.imag = z_r * sin(z_theta);

            return z;

        }

    #endif

#endif


/* Declarations */

#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)

  #ifdef __cplusplus

    static CYTHON_INLINE __pyx_t_long_double_complex __pyx_t_long_double_complex_from_parts(long double x, long double y) {

      return ::std::complex< long double >(x, y);

    }

  #else

    static CYTHON_INLINE __pyx_t_long_double_complex __pyx_t_long_double_complex_from_parts(long double x, long double y) {

      return x + y*(__pyx_t_long_double_complex)_Complex_I;

    }

  #endif

#else

    static CYTHON_INLINE __pyx_t_long_double_complex __pyx_t_long_double_complex_from_parts(long double x, long double y) {

      __pyx_t_long_double_complex z;

      z.real = x;

      z.imag = y;

      return z;

    }

#endif


/* Arithmetic */

#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)

#else

    static CYTHON_INLINE int __Pyx_c_eq_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) {

       return (a.real == b.real) && (a.imag == b.imag);

    }

    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_sum_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) {

        __pyx_t_long_double_complex z;

        z.real = a.real + b.real;

        z.imag = a.imag + b.imag;

        return z;

    }

    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_diff_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) {

        __pyx_t_long_double_complex z;

        z.real = a.real - b.real;

        z.imag = a.imag - b.imag;

        return z;

    }

    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_prod_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) {

        __pyx_t_long_double_complex z;

        z.real = a.real * b.real - a.imag * b.imag;

        z.imag = a.real * b.imag + a.imag * b.real;

        return z;

    }

    #if 1

    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_quot_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) {

        if (b.imag == 0) {

            return __pyx_t_long_double_complex_from_parts(a.real / b.real, a.imag / b.real);

        } else if (fabsl(b.real) >= fabsl(b.imag)) {

            if (b.real == 0 && b.imag == 0) {

                return __pyx_t_long_double_complex_from_parts(a.real / b.real, a.imag / b.imag);

            } else {

                long double r = b.imag / b.real;

                long double s = (long double)(1.0) / (b.real + b.imag * r);

                return __pyx_t_long_double_complex_from_parts(

                    (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);

            }

        } else {

            long double r = b.real / b.imag;

            long double s = (long double)(1.0) / (b.imag + b.real * r);

            return __pyx_t_long_double_complex_from_parts(

                (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);

        }

    }

    #else

    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_quot_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) {

        if (b.imag == 0) {

            return __pyx_t_long_double_complex_from_parts(a.real / b.real, a.imag / b.real);

        } else {

            long double denom = b.real * b.real + b.imag * b.imag;

            return __pyx_t_long_double_complex_from_parts(

                (a.real * b.real + a.imag * b.imag) / denom,

                (a.imag * b.real - a.real * b.imag) / denom);

        }

    }

    #endif

    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_neg_long__double(__pyx_t_long_double_complex a) {

        __pyx_t_long_double_complex z;

        z.real = -a.real;

        z.imag = -a.imag;

        return z;

    }

    static CYTHON_INLINE int __Pyx_c_is_zero_long__double(__pyx_t_long_double_complex a) {

       return (a.real == 0) && (a.imag == 0);

    }

    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_conj_long__double(__pyx_t_long_double_complex a) {

        __pyx_t_long_double_complex z;

        z.real =  a.real;

        z.imag = -a.imag;

        return z;

    }

    #if 1

        static CYTHON_INLINE long double __Pyx_c_abs_long__double(__pyx_t_long_double_complex z) {

          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)

            return sqrtl(z.real*z.real + z.imag*z.imag);

          #else

            return hypotl(z.real, z.imag);

          #endif

        }

        static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_pow_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) {

            __pyx_t_long_double_complex z;

            long double r, lnr, theta, z_r, z_theta;

            if (b.imag == 0 && b.real == (int)b.real) {

                if (b.real < 0) {

                    long double denom = a.real * a.real + a.imag * a.imag;

                    a.real = a.real / denom;

                    a.imag = -a.imag / denom;

                    b.real = -b.real;

                }

                switch ((int)b.real) {

                    case 0:

                        z.real = 1;

                        z.imag = 0;

                        return z;

                    case 1:

                        return a;

                    case 2:

                        return __Pyx_c_prod_long__double(a, a);

                    case 3:

                        z = __Pyx_c_prod_long__double(a, a);

                        return __Pyx_c_prod_long__double(z, a);

                    case 4:

                        z = __Pyx_c_prod_long__double(a, a);

                        return __Pyx_c_prod_long__double(z, z);

                }

            }

            if (a.imag == 0) {

                if (a.real == 0) {

                    return a;

                } else if ((b.imag == 0) && (a.real >= 0)) {

                    z.real = powl(a.real, b.real);

                    z.imag = 0;

                    return z;

                } else if (a.real > 0) {

                    r = a.real;

                    theta = 0;

                } else {

                    r = -a.real;

                    theta = atan2l(0.0, -1.0);

                }

            } else {

                r = __Pyx_c_abs_long__double(a);

                theta = atan2l(a.imag, a.real);

            }

            lnr = logl(r);

            z_r = expl(lnr * b.real - theta * b.imag);

            z_theta = theta * b.real + lnr * b.imag;

            z.real = z_r * cosl(z_theta);

            z.imag = z_r * sinl(z_theta);

            return z;

        }

    #endif

#endif


/* CIntFromPy */

static 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

    }

}


/* 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);

    }

}


/* 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 */

n
Int n
Definition Headers.h:28

q
Double q
Definition Headers.h:81

T
Double T
Definition Headers.h:87

r
Double r
Definition Headers.h:83

number
Int number
Definition Headers.h:33

f
Double f
Definition Headers.h:64

s
Double s
Definition Headers.h:84

z
Double * z
Definition Headers.h:49

v
Double v
Definition Headers.h:95

calculateConservationResidualPWL
void calculateConservationResidualPWL(int nElements_global, int nInteriorElementBoundaries_global, int nExteriorElementBoundaries_global, int nElementBoundaries_element, int nQuadraturePoints_elementBoundary, int nNodes_element, int nSpace, int *interiorElementBoundaries, int *exteriorElementBoundaries, int *elementBoundaryElements, int *elementBoundaryLocalElementBoundaries, int *elementNodes, int *nodeStarElements, int *nodeStarElementNeighbors, int *nodeStarOffsets, int *nElements_node, double *elementResidual, double *vAverage, double *starU, double *dX, double *w, double *normal, double *conservationResidual, double *starR, double *vConservative, double *vConservative_element)

calculateConservationFluxPWL
void calculateConservationFluxPWL(int nNodes_global, int nNodes_internal, int *nElements_node, int *nodeStarOffsets, int *nodeStarJacobianOffsets, int *internalNodes, double *starR, double *starJ, double *starU)

calculateConservationResidualGlobalBoundaries
void calculateConservationResidualGlobalBoundaries(int nElements_global, int nInteriorElementBoundaries_global, int nExteriorElementBoundaries_global, int nElementBoundaries_element, int nQuadraturePoints_elementBoundary, int nNodes_element, int nSpace, int *interiorElementBoundaries, int *exteriorElementBoundaries, int *elementBoundaryElements, int *elementBoundaryLocalElementBoundaries, double *dS, double *normal, double *elementResidual, double *velocity, double *conservationResidual)

calculateConservationJacobianPWL
void calculateConservationJacobianPWL(int nNodes_global, int nNodes_internal, int nElements_global, int nInteriorElementBoundaries_global, int nExteriorElementBoundaries_global, int nElementBoundaries_element, int nQuadraturePoints_elementBoundary, int nNodes_element, int nSpace, int *interiorElementBoundaries, int *exteriorElementBoundaries, int *elementBoundaryElements, int *elementBoundaryLocalElementBoundaries, int *elementNodes, int *nodeStarElements, int *nodeStarElementNeighbors, int *nodeStarOffsets, int *nodeStarJacobianOffsets, int *nElements_node, int *internalNodes, double *w, double *normal, double *starJacobian)

calculateConservationResidualPWL_opt
void calculateConservationResidualPWL_opt(int nNodes_owned, int nElements_global, int nInteriorElementBoundaries_global, int nExteriorElementBoundaries_global, int nElementBoundaries_element, int nQuadraturePoints_elementBoundary, int nNodes_element, int nSpace, int *interiorElementBoundaries, int *exteriorElementBoundaries, int *elementBoundaryElements, int *elementBoundaryLocalElementBoundaries, int *elementNodes, int *nodeStarElements, int *nodeStarElementNeighbors, int *nElements_node, int *fluxElementBoundaries, double *elementResidual, double *vAverage, double *dX, double *w, double *normal, NodeStarFactorStruct *nodeStarFactor, double *conservationResidual, double *vConservative, double *vConservative_element)
Definition postprocessing.c:4835

calculateConservationResidualPWL_primative
void calculateConservationResidualPWL_primative(int nElements_global, int nInteriorElementBoundaries_global, int nExteriorElementBoundaries_global, int nElementBoundaries_element, int nQuadraturePoints_elementBoundary, int nNodes_element, int nSpace, int *interiorElementBoundaries, int *exteriorElementBoundaries, int *elementBoundaryElements, int *elementBoundaryLocalElementBoundaries, int *skipflag_elementBoundaries, double *elementResidual, double *dX, double *normal, double *conservationResidual, double *vConservative)
Definition postprocessing.c:5080

updateSelectedExteriorElementBoundaryFlux
void updateSelectedExteriorElementBoundaryFlux(int nExteriorElementBoundaries_global, int nElementBoundaries_element, int nQuadraturePoints_elementBoundary, int nDOF_test_element, int *exteriorElementBoundaries, int *elementBoundaryElements, int *elementBoundaryLocalElementBoundaries, int *skipflag_elementBoundaries, double *flux, double *w_dS, double *residual)
Update the element boundary flux on exterior element boundaries.
Definition postprocessing.c:5483

calculateConservationJacobianPWL_interiorBoundaries
void calculateConservationJacobianPWL_interiorBoundaries(int nNodes_global, int nElements_global, int nInteriorElementBoundaries_global, int nExteriorElementBoundaries_global, int nElementBoundaries_element, int nQuadraturePoints_elementBoundary, int nNodes_element, int nSpace, int *interiorElementBoundaries, int *exteriorElementBoundaries, int *elementBoundaryElements, int *elementBoundaryLocalElementBoundaries, int *elementNodes, int *nodeStarElements, int *nodeStarElementNeighbors, int *nElements_node, int *fluxElementBoundaries, double *w, double *normal, NodeStarFactorStruct *nodeStarFactor)
Definition postprocessing.c:6006

getElementBoundaryBDM1velocityValuesLagrangeRep
void getElementBoundaryBDM1velocityValuesLagrangeRep(int nElements_global, int nBoundaries_Element, int nQuadraturePoints_elementBoundary, int nSpace, int nDOF_trial_element, int nVDOF_element, int *elementBoundaryElementsArray, int *exteriorElementBoundariesArray, double *ebq_v, double *p1_velocity_dofs, double *ebq_velocity)
Definition postprocessing.c:3598

calculateConservationFluxPWL_noNeumannFix
void calculateConservationFluxPWL_noNeumannFix(int nNodes_global, int *nElements_node, NodeStarFactorStruct *nodeStarFactor)
Definition postprocessing.c:4802

getElementBoundaryRT0velocityValues
void getElementBoundaryRT0velocityValues(int nElements_global, int nElementBoundaries_element, int nPoints_elementBoundary, int nSpace, double *x_elementBoundary, double *rt0vdofs_element, double *v_elementBoundary)
Definition postprocessing.c:1544

getGlobalExteriorElementBoundaryBDM1velocityValuesLagrangeRep
void getGlobalExteriorElementBoundaryBDM1velocityValuesLagrangeRep(int nExteriorElementBoundaries_global, int nQuadraturePoints_elementBoundary, int nSpace, int nDOF_trial_element, int nVDOF_element, int *elementBoundaryElementsArray, int *exteriorElementBoundariesArray, double *ebqe_v, double *p1_velocity_dofs, double *ebqe_velocity)
Definition postprocessing.c:3507

updateRT0velocityWithAveragedPotentialP1nc
void updateRT0velocityWithAveragedPotentialP1nc(int nElements_global, int nQuadraturePoints_element, int nSpace, double *detJ, double *quad_a, double *phi, double *gradphi, double *a, double *rt0vdofs)
Definition postprocessing.c:1316

nodeStar_init
int nodeStar_init(int nElements_global, int nNodes_element, int nNodes_global, int *nElements_node, int *nodeStarElementsArray, int *nodeStarElementNeighborsArray, int *N_p, int **subdomain_dim_p, double ***subdomain_L_p, double ***subdomain_R_p, double ***subdomain_U_p, PROTEUS_LAPACK_INTEGER ***subdomain_pivots_p, PROTEUS_LAPACK_INTEGER ***subdomain_column_pivots_p)
Definition postprocessing.c:3922

solveLocalBDM2projection
void solveLocalBDM2projection(int nElements_global, int nElementBoundaries_element, int nQuadraturePoints_elementBoundary, int nSpace, int nDOFs_test_element, int nVDOFs_element, double *BDMprojectionMatFact_element, int *BDMprojectionMatPivots_element, double *w_dS_f, double *ebq_n, double *w_interior_gradients, double *q_velocity, double *ebq_velocity, double *p1_velocity_dofs)
Definition postprocessing.c:3214

postProcessRT0velocityFromP1nc
void postProcessRT0velocityFromP1nc(int nElements_global, int nQuadraturePoints_element, int nDOF_test_element, int nElementBoundaries_element, int nQuadraturePoints_elementBoundary, int nSpace, int *nFreeDOF_element, int *freeLocal_element, double *detJ, double *sqrt_det_g, double *n, double *elementBarycenters, double *quad_a, double *quad_f, double *w_dV_r, double *w_dV_m, double *u, double *gradu, double *a, double *f, double *r, double *mt, double *rt0vdofs)
Definition postprocessing.c:52

postProcessRT0velocityFromP1ncNoMass_sd
void postProcessRT0velocityFromP1ncNoMass_sd(int nElements_global, int nQuadraturePoints_element, int nDOF_test_element, int nElementBoundaries_element, int nQuadraturePoints_elementBoundary, int nSpace, int *rowptr, int *colind, int *nFreeDOF_element, int *freeLocal_element, double *detJ, double *sqrt_det_g, double *n, double *elementBarycenters, double *quad_a, double *quad_f, double *w_dV_r, double *u, double *gradu, double *a, double *f, double *r, double *rt0vdofs)
Definition postprocessing.c:1047

nodeStar_copy
int nodeStar_copy(int other_N, int *other_subdomain_dim, double **other_subdomain_L, double **other_subdomain_R, double **other_subdomain_U, PROTEUS_LAPACK_INTEGER **other_subdomain_pivots, PROTEUS_LAPACK_INTEGER **other_subdomain_column_pivots, int *N_p, int **subdomain_dim_p, double ***subdomain_L_p, double ***subdomain_R_p, double ***subdomain_U_p, PROTEUS_LAPACK_INTEGER ***subdomain_pivots_p, PROTEUS_LAPACK_INTEGER ***subdomain_column_pivots_p)
Definition postprocessing.c:4039

solveLocalBDM1projectionFromFlux
void solveLocalBDM1projectionFromFlux(int nElements_global, int nElementBoundaries_element, int nQuadraturePoints_elementBoundary, int nDOFs_test_element, int nVDOFs_element, double *BDMprojectionMatFact_element, int *BDMprojectionMatPivots_element, int *elementBoundaryElementsArray, int *elementBoundariesArray, double *w_dS_f, double *ebq_global_flux, double *p1_velocity_dofs)
Definition postprocessing.c:3262

computeFluxCorrectionPWC
void computeFluxCorrectionPWC(int nElementBoundaries_global, int nInteriorElementBoundaries_global, int nExteriorElementBoundaries_global, int *interiorElementBoundaries, int *exteriorElementBoundaries, int *elementBoundaryElements, double *pwcW, double *pwcV, double *fluxCorrection)
Definition postprocessing.c:3878

fluxCorrectionVelocityUpdate
void fluxCorrectionVelocityUpdate(int nElements_global, int nElementBoundaries_global, int nInteriorElementBoundaries_global, int nExteriorElementBoundaries_global, int nElementBoundaries_element, int nQuadraturePoints_elementBoundary, int nSpace, int *interiorElementBoundaries, int *exteriorElementBoundaries, int *elementBoundaryElements, int *elementBoundaryLocalElementBoundaries, double *dS, double *normal, double *fluxCorrection, double *vConservative, double *vConservative_element)
Definition postprocessing.c:3796

postprocessDiffusiveVelocityPointEval
void postprocessDiffusiveVelocityPointEval(int nPoints, int nSpace, double updateCoef, const double *a, const double *grad_phi, double *velocity)
Definition postprocessing.c:5553

getGlobalExteriorElementBoundaryRT0velocityValues
void getGlobalExteriorElementBoundaryRT0velocityValues(int nExteriorElementBoundaries_global, int nPoints_elementBoundary, int nSpace, int *elementBoundaryElementsArray, int *exteriorElementBoundariesArray, double *x_elementBoundary_global, double *rt0vdofs_element, double *v_elementBoundary_global)
Definition postprocessing.c:1637

getGlobalExteriorElementBoundaryRT0velocityValuesFluxRep
void getGlobalExteriorElementBoundaryRT0velocityValuesFluxRep(int nExteriorElementBoundaries_global, int nPoints_elementBoundary_global, int nSpace, int nDetVals_element, double *nodeArray, int *elementNodesArray, int *elementBoundaryElementsArray, int *exteriorElementBoundariesArray, double *abs_det_J, double *x_ebqe, double *rt0vdofs_element, double *v_ebqe)
Definition postprocessing.c:2341

getElementRT0velocityValues
void getElementRT0velocityValues(int nElements_global, int nPoints_element, int nSpace, double *x_element, double *rt0vdofs_element, double *v_element)
Definition postprocessing.c:1505

calculateElementResidualPWL
void calculateElementResidualPWL(int nElements, int nDOF_element_res, int nDOF_element_resPWL, double *alpha, double *elementResidual, double *elementResidualPWL)
Definition postprocessing.c:5617

postProcessRT0velocityFromP1ncNoMass
void postProcessRT0velocityFromP1ncNoMass(int nElements_global, int nQuadraturePoints_element, int nDOF_test_element, int nElementBoundaries_element, int nQuadraturePoints_elementBoundary, int nSpace, int *nFreeDOF_element, int *freeLocal_element, double *detJ, double *sqrt_det_g, double *n, double *elementBarycenters, double *quad_a, double *quad_f, double *w_dV_r, double *u, double *gradu, double *a, double *f, double *r, double *rt0vdofs)
Definition postprocessing.c:779

subdomain_U_copy_local2global
void subdomain_U_copy_local2global(int max_nN_owned, int nElements_global, int nNodes_element, int *elementNodes, int *nodeStarElements, NodeStarFactorStruct *nodeStarFactor, double *subdomain_U)
Definition postprocessing.c:5450

postprocessAdvectiveVelocityPointEval
void postprocessAdvectiveVelocityPointEval(int nPoints, int nSpace, double updateCoef, const double *f, double *velocity)
Definition postprocessing.c:5530

getElementBDM2velocityValuesLagrangeRep
void getElementBDM2velocityValuesLagrangeRep(int nElements_global, int nQuadraturePoints_element, int nSpace, int nDOF_trial_element, int nVDOF_element, double *q_v, double *p1_velocity_dofs, double *q_velocity)
Definition postprocessing.c:3428

getElementBoundaryRT0velocityValuesFluxRep
void getElementBoundaryRT0velocityValuesFluxRep(int nElements_global, int nElementBoundaries_element, int nPoints_elementBoundary, int nSpace, int nDetVals_element, double *nodeArray, int *elementNodesArray, double *abs_det_J, double *x_elementBoundary, double *rt0vdofs_element, double *v_elementBoundary)
Definition postprocessing.c:2210

postProcessRT0velocityFromP1nc_sd
void postProcessRT0velocityFromP1nc_sd(int nElements_global, int nQuadraturePoints_element, int nDOF_test_element, int nElementBoundaries_element, int nQuadraturePoints_elementBoundary, int nSpace, int *rowptr, int *colind, int *nFreeDOF_element, int *freeLocal_element, double *detJ, double *sqrt_det_g, double *n, double *elementBarycenters, double *quad_a, double *quad_f, double *w_dV_r, double *w_dV_m, double *u, double *gradu, double *a, double *f, double *r, double *mt, double *rt0vdofs)
Definition postprocessing.c:415

getElementBDM1velocityValuesLagrangeRep
void getElementBDM1velocityValuesLagrangeRep(int nElements_global, int nQuadraturePoints_element, int nSpace, int nDOF_trial_element, int nVDOF_element, double *q_v, double *p1_velocity_dofs, double *q_velocity)
Definition postprocessing.c:3387

calculateConservationResidualPWL_interiorBoundaries
void calculateConservationResidualPWL_interiorBoundaries(int nElements_global, int nInteriorElementBoundaries_global, int nExteriorElementBoundaries_global, int nElementBoundaries_element, int nQuadraturePoints_elementBoundary, int nNodes_element, int nSpace, int *interiorElementBoundaries, int *exteriorElementBoundaries, int *elementBoundaryElements, int *elementBoundaryLocalElementBoundaries, int *elementNodes, int *nodeStarElements, int *nodeStarElementNeighbors, int *nElements_node, int *fluxElementBoundaries, double *elementResidual, double *vAverage, double *dX, double *w, double *normal, NodeStarFactorStruct *nodeStarFactor, double *conservationResidual, double *vConservative, double *vConservative_element)
Definition postprocessing.c:5650

getGlobalElementBoundaryRT0velocityValuesFluxRep
void getGlobalElementBoundaryRT0velocityValuesFluxRep(int nElementBoundaries_global, int nPoints_elementBoundary_global, int nSpace, int nDetVals_element, double *nodeArray, int *elementNodesArray, int *elementBoundaryElementsArray, double *abs_det_J, double *x_elementBoundary_global, double *rt0vdofs_element, double *v_elementBoundary_global)
Definition postprocessing.c:2278

sunWheelerGSsweep
void sunWheelerGSsweep(int nElements_global, int nElementBoundaries_global, int nInteriorElementBoundaries_global, int nExteriorElementBoundaries_global, int nElementBoundaries_element, int nQuadraturePoints_elementBoundary, int nSpace, int *interiorElementBoundaries, int *exteriorElementBoundaries, int *elementBoundaryElements, int *elementBoundaryLocalElementBoundaries, double *dS, double *normal, double *sqrt_det_g, double *alpha, double *fluxCorrection, double *conservationResidual)
Definition postprocessing.c:3747

buildBDM2rhs
void buildBDM2rhs(int nElements_global, int nElementBoundaries_element, int nQuadraturePoints_elementBoundary, int nQuadraturePoints_elementInterior, int nSpace, int nDOFs_test_element, int nVDOFs_element, int nDOFs_trial_interior_element, double *BDMprojectionMatFact_element, int *BDMprojectionMatPivots_element, int *edgeFlags, double *w_dS_f, double *ebq_n, double *w_interior_grads, double *w_interior_divfree, double *ebq_velocity, double *q_velocity, double *p1_velocity_dofs)
Definition postprocessing.c:3055

postProcessRT0potentialFromP1nc_sd
void postProcessRT0potentialFromP1nc_sd(int nElements_global, int nQuadraturePoints_element, int nElementBoundaries_element, int nQuadraturePoints_elementBoundary, int nSpace, int *rowptr, int *colind, double *uQuadratureWeights_element, double *elementBarycenters, double *aElementQuadratureWeights, double *detJ, double *uQuadratureWeights_elementBoundary, double *x, double *u, double *gradu, double *x_elementBoundary, double *u_elementBoundary, double *n, double *a, double *f, double *r, double *rt0vdofs, double *rt0potential)
Definition postprocessing.c:1843

buildLocalBDM2projectionMatrices
void buildLocalBDM2projectionMatrices(int degree, int nElements_global, int nElementBoundaries_element, int nQuadraturePoints_elementBoundary, int nQuadraturePoints_elementInterior, int nSpace, int nDOFs_test_element, int nDOFs_trial_boundary_element, int nDOFs_trial_interior_element, int nVDOFs_element, int *edgeFlags, double *w_dS_f, double *ebq_n, double *ebq_v, double *BDMprojectionMat_element, double *q_basis_vals, double *w_int_test_grads, double *w_int_div_free, double *piola_trial_fun)
Definition postprocessing.c:2710

subdomain_U_copy_global2local
void subdomain_U_copy_global2local(int max_nN_owned, int nElements_global, int nNodes_element, int *elementNodes, int *nodeStarElements, NodeStarFactorStruct *nodeStarFactor, double *subdomain_U)
Definition postprocessing.c:5426

getRT0velocityValuesFluxRep_arbitraryElementMembership
void getRT0velocityValuesFluxRep_arbitraryElementMembership(int nElements_global, int nElementBoundaries_element, int nPoints, int nSpace, int nDetVals_element, const double *nodeArray, const int *elementNodesArray, const double *abs_det_J, const double *x, const int *element_locations, const double *rt0vdofs_element, double *v_element)
Definition postprocessing.c:2406

updateRT0velocityWithAveragedPotentialP1nc_sd
void updateRT0velocityWithAveragedPotentialP1nc_sd(int nElements_global, int nQuadraturePoints_element, int nSpace, int *rowptr, int *colind, double *detJ, double *quad_a, double *phi, double *gradphi, double *a, double *rt0vdofs)
Definition postprocessing.c:1410

projectElementBoundaryFluxToRT0fluxRep
void projectElementBoundaryFluxToRT0fluxRep(int nElements_global, int nElementBoundaries_element, int nQuadraturePoints_elementBoundary, int nDOF_RT0V_element, int *elementBoundaryElementsArray, int *elementBoundariesArray, double *elementBoundaryQuadratureWeights, double *flux_elementBoundary, double *rt0vdofs_element)
Definition postprocessing.c:2085

solveLocalBDM1projection
void solveLocalBDM1projection(int nElements_global, int nElementBoundaries_element, int nQuadraturePoints_elementBoundary, int nSpace, int nDOFs_test_element, int nVDOFs_element, double *BDMprojectionMatFact_element, int *BDMprojectionMatPivots_element, double *w_dS_f, double *ebq_n, double *ebq_velocity, double *p1_velocity_dofs)
Definition postprocessing.c:2965

factorLocalBDM1projectionMatrices
void factorLocalBDM1projectionMatrices(int nElements_global, int nVDOFs_element, double *BDMprojectionMat_element, int *BDMprojectionMatPivots_element)
Definition postprocessing.c:2907

buildLocalBDM1projectionMatrices
void buildLocalBDM1projectionMatrices(int nElements_global, int nElementBoundaries_element, int nQuadraturePoints_elementBoundary, int nSpace, int nDOFs_test_element, int nDOFs_trial_element, int nVDOFs_element, double *w_dS_f, double *ebq_n, double *ebq_v, double *BDMprojectionMat_element)
Definition postprocessing.c:2572

getElementLDGvelocityValuesLagrangeRep
void getElementLDGvelocityValuesLagrangeRep(int nElements_global, int nQuadraturePoints_element, int nSpace, int nDOF_trial_element, int nVDOF_element, double *q_v, double *velocity_dofs, double *q_velocity)
Definition postprocessing.c:3469

getElementRT0velocityValuesFluxRep
void getElementRT0velocityValuesFluxRep(int nElements_global, int nElementBoundaries_element, int nPoints_element, int nSpace, int nDetVals_element, double *nodeArray, int *elementNodesArray, double *abs_det_J, double *x_element, double *rt0vdofs_element, double *v_element)
Definition postprocessing.c:2144

postprocessDiffusiveVelocityPointEval_sd
void postprocessDiffusiveVelocityPointEval_sd(int nPoints, int nSpace, double updateCoef, int *rowptr, int *colind, const double *a, const double *grad_phi, double *velocity)
Definition postprocessing.c:5584

factorLocalBDM2projectionMatrices
void factorLocalBDM2projectionMatrices(int nElements_global, int nVDOFs_element, double *BDMprojectionMat_element, int *BDMprojectionMatPivots_element)
Definition postprocessing.c:2936

projectElementBoundaryVelocityToRT0fluxRep
void projectElementBoundaryVelocityToRT0fluxRep(int nElements_global, int nElementBoundaries_element, int nQuadraturePoints_elementBoundary, int nSpace, double *elementBoundaryQuadratureWeights, double *n, double *v_elementBoundary, double *rt0vdofs_element)
Definition postprocessing.c:2004

calculateConservationJacobianPWL_opt
void calculateConservationJacobianPWL_opt(int nNodes_owned, int nNodes_global, int nNodes_internal, int nElements_global, int nInteriorElementBoundaries_global, int nExteriorElementBoundaries_global, int nElementBoundaries_element, int nQuadraturePoints_elementBoundary, int nNodes_element, int nSpace, int *interiorElementBoundaries, int *exteriorElementBoundaries, int *elementBoundaryElements, int *elementBoundaryLocalElementBoundaries, int *elementNodes, int *nodeStarElements, int *nodeStarElementNeighbors, int *nElements_node, int *internalNodes, int *fluxElementBoundaries, int *fluxBoundaryNodes, double *w, double *normal, NodeStarFactorStruct *nodeStarFactor)
Definition postprocessing.c:5171

nodeStar_free
int nodeStar_free(int N, int *subdomain_dim, double **subdomain_L, double **subdomain_R, double **subdomain_U, PROTEUS_LAPACK_INTEGER **subdomain_pivots, PROTEUS_LAPACK_INTEGER **subdomain_column_pivots)
Definition postprocessing.c:3997

getGlobalElementBoundaryRT0velocityValues
void getGlobalElementBoundaryRT0velocityValues(int nElementBoundaries_global, int nPoints_elementBoundary, int nSpace, int *elementBoundaryElementsArray, double *x_elementBoundary_global, double *rt0vdofs_element, double *v_elementBoundary_global)
Definition postprocessing.c:1594

postProcessRT0potentialFromP1nc
void postProcessRT0potentialFromP1nc(int nElements_global, int nQuadraturePoints_element, int nElementBoundaries_element, int nQuadraturePoints_elementBoundary, int nSpace, double *uQuadratureWeights_element, double *elementBarycenters, double *aElementQuadratureWeights, double *detJ, double *uQuadratureWeights_elementBoundary, double *x, double *u, double *gradu, double *x_elementBoundary, double *u_elementBoundary, double *n, double *a, double *f, double *r, double *rt0vdofs, double *rt0potential)
Definition postprocessing.c:1683

calculateConservationFluxPWL_opt
void calculateConservationFluxPWL_opt(int nNodes_owned, int nNodes_global, int nNodes_internal, int *nElements_node, int *internalNodes, int *fluxBoundaryNodes, NodeStarFactorStruct *nodeStarFactor)
Definition postprocessing.c:5362

c
#define c(i)
Definition jf.h:21

postprocessing.h
Python interface to velocity postprocessing library.