subsurfaceTransportFunctions.c

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/* Generated by Cython 3.3.0 */
 
/* BEGIN: Cython Metadata
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#ifndef CYTHON_UNUSED
# if defined(__GNUC__)
#   if !(defined(__cplusplus)) || (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 4))
#     define CYTHON_UNUSED __attribute__ ((__unused__))
#   else
#     define CYTHON_UNUSED
#   endif
# elif defined(__ICC) || (defined(__INTEL_COMPILER) && !defined(_MSC_VER))
#   define CYTHON_UNUSED __attribute__ ((__unused__))
# else
#   define CYTHON_UNUSED
# endif
#endif
#ifndef CYTHON_UNUSED_VAR
#  if defined(__cplusplus)
     template<class T> void CYTHON_UNUSED_VAR( const T& ) { }
#  else
#    define CYTHON_UNUSED_VAR(x) (void)(x)
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#ifndef CYTHON_MAYBE_UNUSED_VAR
  #define CYTHON_MAYBE_UNUSED_VAR(x) CYTHON_UNUSED_VAR(x)
#endif
#ifndef CYTHON_NCP_UNUSED
# if CYTHON_COMPILING_IN_CPYTHON && !CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
#  define CYTHON_NCP_UNUSED
# else
#  define CYTHON_NCP_UNUSED CYTHON_UNUSED
# endif
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#ifndef CYTHON_USE_CPP_STD_MOVE
  #if defined(__cplusplus) && (\
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    #define CYTHON_USE_CPP_STD_MOVE 1
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    #define CYTHON_USE_CPP_STD_MOVE 0
  #endif
#endif
#define __Pyx_void_to_None(void_result) ((void)(void_result), Py_INCREF(Py_None), Py_None)
#include <stdint.h>
typedef uintptr_t  __pyx_uintptr_t;
#ifndef CYTHON_FALLTHROUGH
  #if defined(__cplusplus)
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    #ifndef CYTHON_FALLTHROUGH
      #if __has_cpp_attribute(clang::fallthrough)
        #define CYTHON_FALLTHROUGH [[clang::fallthrough]]
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        #define CYTHON_FALLTHROUGH [[gnu::fallthrough]]
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  #ifndef CYTHON_FALLTHROUGH
    #if __has_attribute(fallthrough)
      #define CYTHON_FALLTHROUGH __attribute__((fallthrough))
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      #define CYTHON_FALLTHROUGH
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#ifdef Py_UNREACHABLE
  #define __Pyx_UNREACHABLE() Py_UNREACHABLE()
#elif __Pyx_has_cbuiltin(__builtin_unreachable)
  #define __Pyx_UNREACHABLE() __builtin_unreachable()
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  #define __Pyx_UNREACHABLE() __builtin_unreachable()
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#ifndef Py_UNREACHABLE
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  struct __PYX_IS_UNSIGNED_IMPL {static const bool value = T(0) < T(-1);};
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#define __PYX_REINTERPRET_FUNCION(func_pointer, other_pointer) ((func_pointer)(void(*)(void))(other_pointer))
#if __PYX_LIMITED_VERSION_HEX < 0x030C0000
#define __Pyx_PyErr_FetchException(petype, peval, petb) PyErr_Fetch(petype, peval, petb)
#define __Pyx_PyErr_RestoreException(etype, eval, etb) PyErr_Restore(etype, eval, etb)
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#define __Pyx_PyErr_FetchException(petype, peval, petb) *(petype)=NULL; *(peval)=PyErr_GetRaisedException(); *(petb)=NULL
#define __Pyx_PyErr_RestoreException(etype, eval, etb) PyErr_SetRaisedException(eval)
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/* CInitCode */
#ifndef CYTHON_INLINE
  #if defined(__clang__)
    #define CYTHON_INLINE __inline__ __attribute__ ((__unused__))
  #elif defined(__GNUC__)
    #define CYTHON_INLINE __inline__
  #elif defined(_MSC_VER)
    #define CYTHON_INLINE __inline
  #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define CYTHON_INLINE inline
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    #define CYTHON_INLINE
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/* PythonCompatibility */
#define __PYX_BUILD_PY_SSIZE_T "n"
#define CYTHON_FORMAT_SSIZE_T "z"
#define __Pyx_BUILTIN_MODULE_NAME "builtins"
#define __Pyx_DefaultClassType PyType_Type
#if CYTHON_COMPILING_IN_LIMITED_API
    #ifndef CO_OPTIMIZED
    static int CO_OPTIMIZED;
    #endif
    #ifndef CO_NEWLOCALS
    static int CO_NEWLOCALS;
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    #ifndef CO_VARARGS
    static int CO_VARARGS;
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    #ifndef CO_VARKEYWORDS
    static int CO_VARKEYWORDS;
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    #ifndef CO_ASYNC_GENERATOR
    static int CO_ASYNC_GENERATOR;
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    #ifndef CO_GENERATOR
    static int CO_GENERATOR;
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    #ifndef CO_COROUTINE
    static int CO_COROUTINE;
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#else
    #ifndef CO_COROUTINE
      #define CO_COROUTINE 0x80
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    #ifndef CO_ASYNC_GENERATOR
      #define CO_ASYNC_GENERATOR 0x200
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static int __Pyx_init_co_variables(void);
#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_Is)
  #define __Pyx_Py_Is(x, y)  Py_Is(x, y)
#else
  #define __Pyx_Py_Is(x, y) ((x) == (y))
#endif
#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_IsNone)
  #define __Pyx_Py_IsNone(ob) Py_IsNone(ob)
#else
  #define __Pyx_Py_IsNone(ob) __Pyx_Py_Is((ob), Py_None)
#endif
#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_IsTrue)
  #define __Pyx_Py_IsTrue(ob) Py_IsTrue(ob)
#else
  #define __Pyx_Py_IsTrue(ob) __Pyx_Py_Is((ob), Py_True)
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#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_IsFalse)
  #define __Pyx_Py_IsFalse(ob) Py_IsFalse(ob)
#else
  #define __Pyx_Py_IsFalse(ob) __Pyx_Py_Is((ob), Py_False)
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#define __Pyx_NoneAsNull(obj)  (__Pyx_Py_IsNone(obj) ? NULL : (obj))
#if CYTHON_COMPILING_IN_PYPY
  #define __Pyx_PyObject_GC_IsFinalized(o) _PyGC_FINALIZED(o)
#else
  #define __Pyx_PyObject_GC_IsFinalized(o) PyObject_GC_IsFinalized(o)
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#if CYTHON_COMPILING_IN_LIMITED_API
static unsigned long __Pyx_Runtime_TPFLAGS_SEQUENCE;
static unsigned long __Pyx_Runtime_TPFLAGS_MAPPING;
#else
#define __Pyx_Runtime_TPFLAGS_SEQUENCE Py_TPFLAGS_SEQUENCE
#define __Pyx_Runtime_TPFLAGS_MAPPING Py_TPFLAGS_MAPPING
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static int __Pyx_init_tpflags_variables(void);
#ifndef Py_TPFLAGS_HAVE_FINALIZE
  #define Py_TPFLAGS_HAVE_FINALIZE 0
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#ifndef Py_TPFLAGS_SEQUENCE
  #define Py_TPFLAGS_SEQUENCE (CYTHON_COMPILING_IN_LIMITED_API ? 0 : 1 << 5)
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#ifndef Py_TPFLAGS_MAPPING
  #define Py_TPFLAGS_MAPPING (CYTHON_COMPILING_IN_LIMITED_API ? 0 : 1 << 6)
#endif
#ifndef Py_TPFLAGS_IMMUTABLETYPE
  #define Py_TPFLAGS_IMMUTABLETYPE (1UL << 8)
#endif
#ifndef Py_TPFLAGS_DISALLOW_INSTANTIATION
  #define Py_TPFLAGS_DISALLOW_INSTANTIATION (1UL << 7)
#endif
#ifndef METH_STACKLESS
  #define METH_STACKLESS 0
#endif
#if !defined(METH_FASTCALL) || CYTHON_COMPILING_IN_PYPY
  #ifndef METH_FASTCALL
     #define METH_FASTCALL 0x80
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  typedef PyObject *(*__Pyx_PyCFunctionFast) (PyObject *self, PyObject *const *args, Py_ssize_t nargs);
  typedef PyObject *(*__Pyx_PyCFunctionFastWithKeywords) (PyObject *self, PyObject *const *args,
                                                          Py_ssize_t nargs, PyObject *kwnames);
#else
  #if PY_VERSION_HEX >= 0x030d00A4
  #  define __Pyx_PyCFunctionFast PyCFunctionFast
  #  define __Pyx_PyCFunctionFastWithKeywords PyCFunctionFastWithKeywords
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  #  define __Pyx_PyCFunctionFast _PyCFunctionFast
  #  define __Pyx_PyCFunctionFastWithKeywords _PyCFunctionFastWithKeywords
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#if CYTHON_VECTORCALL
  #define __Pyx_METH_FASTCALL METH_FASTCALL
  #define __Pyx_PyCFunction_FastCall __Pyx_PyCFunctionFast
  #define __Pyx_PyCFunction_FastCallWithKeywords __Pyx_PyCFunctionFastWithKeywords
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  #define __Pyx_METH_FASTCALL METH_VARARGS
  #define __Pyx_PyCFunction_FastCall PyCFunction
  #define __Pyx_PyCFunction_FastCallWithKeywords PyCFunctionWithKeywords
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#if CYTHON_VECTORCALL
  #define __pyx_vectorcallfunc vectorcallfunc
  #define __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET  PY_VECTORCALL_ARGUMENTS_OFFSET
  #define __Pyx_PyVectorcall_NARGS(n)  PyVectorcall_NARGS((size_t)(n))
#else
  #define __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET  0
  #define __Pyx_PyVectorcall_NARGS(n)  ((Py_ssize_t)(n))
#endif
#define __Pyx_PyCFunction_CheckExact(func) PyCFunction_CheckExact(func)
#define __Pyx_CyOrPyCFunction_Check(func)  PyCFunction_Check(func)
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_CyOrPyCFunction_GET_FUNCTION(func)  (((PyCFunctionObject*)(func))->m_ml->ml_meth)
#elif !CYTHON_COMPILING_IN_LIMITED_API
#define __Pyx_CyOrPyCFunction_GET_FUNCTION(func)  PyCFunction_GET_FUNCTION(func)
#endif
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_CyOrPyCFunction_GET_FLAGS(func)  (((PyCFunctionObject*)(func))->m_ml->ml_flags)
static CYTHON_INLINE PyObject* __Pyx_CyOrPyCFunction_GET_SELF(PyObject *func) {
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}
#endif
static CYTHON_INLINE int __Pyx__IsSameCFunction(PyObject *func, void (*cfunc)(void)) {
#if CYTHON_COMPILING_IN_LIMITED_API
    return PyCFunction_Check(func) && PyCFunction_GetFunction(func) == (PyCFunction) cfunc;
#else
    return PyCFunction_Check(func) && PyCFunction_GET_FUNCTION(func) == (PyCFunction) cfunc;
#endif
}
#define __Pyx_IsSameCFunction(func, cfunc)   __Pyx__IsSameCFunction(func, cfunc)
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
  #define __Pyx_PyType_FromModuleAndSpec(m, s, b)  ((void)m, PyType_FromSpecWithBases(s, b))
#else
  #define __Pyx_PyType_FromModuleAndSpec(m, s, b)  PyType_FromModuleAndSpec(m, s, b)
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#if CYTHON_COMPILING_IN_PYPY
  typedef PyObject *(*__Pyx_PyCMethod)(PyObject *, PyTypeObject *, PyObject *const *, size_t, PyObject *);
#else
  #define __Pyx_PyCMethod  PyCMethod
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#ifndef METH_METHOD
  #define METH_METHOD 0x200
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#if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Malloc)
  #define PyObject_Malloc(s)   PyMem_Malloc(s)
  #define PyObject_Free(p)     PyMem_Free(p)
  #define PyObject_Realloc(p)  PyMem_Realloc(p)
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno)
#elif CYTHON_COMPILING_IN_GRAAL && defined(GRAALPY_VERSION_NUM) && GRAALPY_VERSION_NUM > 0x19000000
  #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno) GraalPyFrame_SetLineNumber((frame), (lineno))
#elif CYTHON_COMPILING_IN_GRAAL
  #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno) _PyFrame_SetLineNumber((frame), (lineno))
#else
  #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno)  (frame)->f_lineno = (lineno)
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#if CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx_PyThreadState_Current PyThreadState_Get()
#elif !CYTHON_FAST_THREAD_STATE
  #define __Pyx_PyThreadState_Current PyThreadState_GET()
#elif PY_VERSION_HEX >= 0x030d00A1
  #define __Pyx_PyThreadState_Current PyThreadState_GetUnchecked()
#else
  #define __Pyx_PyThreadState_Current _PyThreadState_UncheckedGet()
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#if CYTHON_OPAQUE_OBJECTS && CYTHON_COMPILING_IN_LIMITED_API
    #define __PYX_SHARED_SIZEOF(T) -((int)sizeof(T))
    #define __PYX_SHARED_RELATIVE_OFFSET Py_RELATIVE_OFFSET
    #define CYTHON_OPAQUE_SHARED_TYPES 1
#else
    #define __PYX_SHARED_SIZEOF(T) sizeof(T)
    #define __PYX_SHARED_RELATIVE_OFFSET 0
    #define CYTHON_OPAQUE_SHARED_TYPES 0
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#if CYTHON_USE_MODULE_STATE
static CYTHON_INLINE void *__Pyx__PyModule_GetState(PyObject *op)
{
    void *result;
    result = PyModule_GetState(op);
    if (!result)
        Py_FatalError("Couldn't find the module state");
    return result;
}
#define __Pyx_PyModule_GetState(o) (__pyx_mstatetype *)__Pyx__PyModule_GetState(o)
#else
#define __Pyx_PyModule_GetState(op) ((void)op,__pyx_mstate_global)
#endif
#define __Pyx_PyObject_GetSlot(obj, name, func_ctype)  __Pyx_PyType_GetSlot(Py_TYPE((PyObject *) obj), name, func_ctype)
#define __Pyx_PyObject_TryGetSlot(obj, name, func_ctype) __Pyx_PyType_TryGetSlot(Py_TYPE(obj), name, func_ctype)
#define __Pyx_PyObject_GetSubSlot(obj, sub, name, func_ctype) __Pyx_PyType_GetSubSlot(Py_TYPE(obj), sub, name, func_ctype)
#define __Pyx_PyObject_TryGetSubSlot(obj, sub, name, func_ctype) __Pyx_PyType_TryGetSubSlot(Py_TYPE(obj), sub, name, func_ctype)
#if CYTHON_USE_TYPE_SLOTS
  #define __Pyx_PyType_GetSlot(type, name, func_ctype)  ((type)->name)
  #define __Pyx_PyType_TryGetSlot(type, name, func_ctype) __Pyx_PyType_GetSlot(type, name, func_ctype)
  #define __Pyx_PyType_GetSubSlot(type, sub, name, func_ctype) (((type)->sub) ? ((type)->sub->name) : NULL)
  #define __Pyx_PyType_TryGetSubSlot(type, sub, name, func_ctype) __Pyx_PyType_GetSubSlot(type, sub, name, func_ctype)
#else
  #define __Pyx_PyType_GetSlot(type, name, func_ctype)  ((func_ctype) PyType_GetSlot((type), Py_##name))
  #define __Pyx_PyType_TryGetSlot(type, name, func_ctype)\
    ((__PYX_LIMITED_VERSION_HEX >= 0x030A0000 ||\
     (PyType_GetFlags(type) & Py_TPFLAGS_HEAPTYPE) || __Pyx_get_runtime_version() >= 0x030A0000) ?\
     __Pyx_PyType_GetSlot(type, name, func_ctype) : NULL)
  #define __Pyx_PyType_GetSubSlot(obj, sub, name, func_ctype) __Pyx_PyType_GetSlot(obj, name, func_ctype)
  #define __Pyx_PyType_TryGetSubSlot(obj, sub, name, func_ctype) __Pyx_PyType_TryGetSlot(obj, name, func_ctype)
#endif
#if CYTHON_COMPILING_IN_CPYTHON || defined(_PyDict_NewPresized)
#define __Pyx_PyDict_NewPresized(n)  ((n <= 8) ? PyDict_New() : _PyDict_NewPresized(n))
#else
#define __Pyx_PyDict_NewPresized(n)  PyDict_New()
#endif
#define __Pyx_PyNumber_Divide(x,y)         PyNumber_TrueDivide(x,y)
#define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceTrueDivide(x,y)
#if CYTHON_COMPILING_IN_CPYTHON && CYTHON_USE_UNICODE_INTERNALS
#define __Pyx_PyDict_GetItemStrWithError(dict, name)  _PyDict_GetItem_KnownHash(dict, name, ((PyASCIIObject *) name)->hash)
static CYTHON_INLINE PyObject * __Pyx_PyDict_GetItemStr(PyObject *dict, PyObject *name) {
    PyObject *res = __Pyx_PyDict_GetItemStrWithError(dict, name);
    if (res == NULL && PyErr_Occurred()) {
        PyErr_WriteUnraisable(NULL);
    }
    return res;
}
#elif !CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07020000
#define __Pyx_PyDict_GetItemStrWithError  PyDict_GetItemWithError
#define __Pyx_PyDict_GetItemStr           PyDict_GetItem
#else
static CYTHON_INLINE PyObject * __Pyx_PyDict_GetItemStrWithError(PyObject *dict, PyObject *name) {
#if CYTHON_COMPILING_IN_PYPY
    return PyDict_GetItem(dict, name);
#else
    PyDictEntry *ep;
    PyDictObject *mp = (PyDictObject*) dict;
    long hash = ((PyStringObject *) name)->ob_shash;
    assert(hash != -1);
    ep = (mp->ma_lookup)(mp, name, hash);
    if (ep == NULL) {
        return NULL;
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    return ep->me_value;
#endif
}
#define __Pyx_PyDict_GetItemStr           PyDict_GetItem
#endif
#if CYTHON_USE_TYPE_SLOTS
  #define __Pyx_PyType_GetFlags(tp)   (((PyTypeObject *)tp)->tp_flags)
  #define __Pyx_PyType_HasFeature(type, feature)  ((__Pyx_PyType_GetFlags(type) & (feature)) != 0)
#else
  #define __Pyx_PyType_GetFlags(tp)   (PyType_GetFlags((PyTypeObject *)tp))
  #define __Pyx_PyType_HasFeature(type, feature)  PyType_HasFeature(type, feature)
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#define __Pyx_PyObject_GetIterNextFunc(iterator)  __Pyx_PyObject_GetSlot(iterator, tp_iternext, iternextfunc)
#if CYTHON_USE_TYPE_SPECS
#define __Pyx_PyHeapTypeObject_GC_Del(obj)  {\
    PyTypeObject *type = Py_TYPE((PyObject*)obj);\
    assert(__Pyx_PyType_HasFeature(type, Py_TPFLAGS_HEAPTYPE));\
    PyObject_GC_Del(obj);\
    Py_DECREF(type);\
}
#else
#define __Pyx_PyHeapTypeObject_GC_Del(obj)  PyObject_GC_Del(obj)
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx_PyUnicode_READY(op)       (0)
  #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_ReadChar(u, i)
  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   ((void)u, 1114111U)
  #define __Pyx_PyUnicode_KIND(u)         ((void)u, (0))
  #define __Pyx_PyUnicode_KIND_04(u)      __Pyx_PyUnicode_KIND(u)
  #define __Pyx_PyUnicode_DATA(u)         ((void*)u)
  #define __Pyx_PyUnicode_READ(k, d, i)   ((void)k, PyUnicode_ReadChar((PyObject*)(d), i))
  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GetLength(u))
#else
  #if PY_VERSION_HEX >= 0x030C0000
    #define __Pyx_PyUnicode_READY(op)       (0)
  #else
    #define __Pyx_PyUnicode_READY(op)       (likely(PyUnicode_IS_READY(op)) ?\
                                                0 : _PyUnicode_Ready((PyObject *)(op)))
  #endif
  #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_READ_CHAR(u, i)
  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   PyUnicode_MAX_CHAR_VALUE(u)
  #define __Pyx_PyUnicode_KIND(u)         ((int)PyUnicode_KIND(u))
  #define __Pyx_PyUnicode_DATA(u)         PyUnicode_DATA(u)
  #define __Pyx_PyUnicode_READ(k, d, i)   PyUnicode_READ(k, d, i)
  #define __Pyx_PyUnicode_WRITE(k, d, i, ch)  PyUnicode_WRITE(k, d, i, (Py_UCS4) ch)
  #if PY_VERSION_HEX >= 0x030C0000
    #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GET_LENGTH(u))
  #else
    #if CYTHON_COMPILING_IN_CPYTHON
    #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : ((PyCompactUnicodeObject *)(u))->wstr_length))
    #else
    #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : PyUnicode_GET_SIZE(u)))
    #endif
  #endif
  static CYTHON_INLINE int __Pyx_PyUnicode_KIND_04(PyObject *o) {
      return __Pyx_PyUnicode_KIND(o) - (int) !!PyUnicode_IS_ASCII(o);
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#endif
#if CYTHON_COMPILING_IN_PYPY
  #define __Pyx_PyUnicode_Concat(a, b)      PyNumber_Add(a, b)
  #define __Pyx_PyUnicode_ConcatSafe(a, b)  PyNumber_Add(a, b)
#else
  #define __Pyx_PyUnicode_Concat(a, b)      PyUnicode_Concat(a, b)
  #define __Pyx_PyUnicode_ConcatSafe(a, b)  ((unlikely((a) == Py_None) || unlikely((b) == Py_None)) ?\
      PyNumber_Add(a, b) : __Pyx_PyUnicode_Concat(a, b))
#endif
#if CYTHON_COMPILING_IN_PYPY
  #if !defined(PyUnicode_DecodeUnicodeEscape)
    #define PyUnicode_DecodeUnicodeEscape(s, size, errors)  PyUnicode_Decode(s, size, "unicode_escape", errors)
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  #if !defined(PyUnicode_Contains)
    #define PyUnicode_Contains(u, s)  PySequence_Contains(u, s)
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  #if !defined(PyByteArray_Check)
    #define PyByteArray_Check(obj)  PyObject_TypeCheck(obj, &PyByteArray_Type)
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  #if !defined(PyObject_Format)
    #define PyObject_Format(obj, fmt)  PyObject_CallMethod(obj, "__format__", "O", fmt)
  #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__subsurfaceTransportFunctions
#define __PYX_HAVE_API__subsurfaceTransportFunctions
/* 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 "math.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/subsurfaceTransportFunctions.pyx",
  "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd",
  "cpython/type.pxd",
};
/* #### Code section: utility_code_proto_before_types ### */
/* Atomics.proto (used by UnpackUnboundCMethod) */
#include <pythread.h>
#ifndef CYTHON_ATOMICS
    #define CYTHON_ATOMICS 1
#endif
#define __PYX_CYTHON_ATOMICS_ENABLED() CYTHON_ATOMICS
#define __PYX_GET_CYTHON_COMPILING_IN_CPYTHON_FREETHREADING() CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
#define __pyx_atomic_int_type int
#define __pyx_nonatomic_int_type int
#if CYTHON_ATOMICS && (defined(__STDC_VERSION__) &&\
                        (__STDC_VERSION__ >= 201112L) &&\
                        !defined(__STDC_NO_ATOMICS__))
    #include <stdatomic.h>
#elif CYTHON_ATOMICS && (defined(__cplusplus) && (\
                    (__cplusplus >= 201103L) ||\
                    (defined(_MSC_VER) && _MSC_VER >= 1700)))
    #include <atomic>
#endif
#if CYTHON_ATOMICS && (defined(__STDC_VERSION__) &&\
                        (__STDC_VERSION__ >= 201112L) &&\
                        !defined(__STDC_NO_ATOMICS__) &&\
                       ATOMIC_INT_LOCK_FREE == 2)
    #undef __pyx_atomic_int_type
    #define __pyx_atomic_int_type atomic_int
    #define __pyx_atomic_ptr_type atomic_uintptr_t
    #define __pyx_nonatomic_ptr_type uintptr_t
    #define __pyx_atomic_incr_relaxed(value) atomic_fetch_add_explicit(value, 1, memory_order_relaxed)
    #define __pyx_atomic_incr_acq_rel(value) atomic_fetch_add_explicit(value, 1, memory_order_acq_rel)
    #define __pyx_atomic_decr_acq_rel(value) atomic_fetch_sub_explicit(value, 1, memory_order_acq_rel)
    #define __pyx_atomic_sub(value, arg) atomic_fetch_sub(value, arg)
    #define __pyx_atomic_int_cmp_exchange(value, expected, desired) atomic_compare_exchange_strong(value, expected, desired)
    #define __pyx_atomic_load(value) atomic_load(value)
    #define __pyx_atomic_store(value, new_value) atomic_store(value, new_value)
    #define __pyx_atomic_pointer_load_relaxed(value) atomic_load_explicit(value, memory_order_relaxed)
    #define __pyx_atomic_pointer_load_acquire(value) atomic_load_explicit(value, memory_order_acquire)
    #define __pyx_atomic_pointer_exchange(value, new_value) atomic_exchange(value, (__pyx_nonatomic_ptr_type)new_value)
    #define __pyx_atomic_pointer_cmp_exchange(value, expected, desired) atomic_compare_exchange_strong(value, expected, desired)
    #if defined(__PYX_DEBUG_ATOMICS) && defined(_MSC_VER)
        #pragma message ("Using standard C atomics")
    #elif defined(__PYX_DEBUG_ATOMICS)
        #warning "Using standard C atomics"
    #endif
#elif CYTHON_ATOMICS && (defined(__cplusplus) && (\
                    (__cplusplus >= 201103L) ||\
\
                    (defined(_MSC_VER) && _MSC_VER >= 1700)) &&\
                    ATOMIC_INT_LOCK_FREE == 2)
    #undef __pyx_atomic_int_type
    #define __pyx_atomic_int_type std::atomic_int
    #define __pyx_atomic_ptr_type std::atomic_uintptr_t
    #define __pyx_nonatomic_ptr_type uintptr_t
    #define __pyx_atomic_incr_relaxed(value) std::atomic_fetch_add_explicit(value, 1, std::memory_order_relaxed)
    #define __pyx_atomic_incr_acq_rel(value) std::atomic_fetch_add_explicit(value, 1, std::memory_order_acq_rel)
    #define __pyx_atomic_decr_acq_rel(value) std::atomic_fetch_sub_explicit(value, 1, std::memory_order_acq_rel)
    #define __pyx_atomic_sub(value, arg) std::atomic_fetch_sub(value, arg)
    #define __pyx_atomic_int_cmp_exchange(value, expected, desired) std::atomic_compare_exchange_strong(value, expected, desired)
    #define __pyx_atomic_load(value) std::atomic_load(value)
    #define __pyx_atomic_store(value, new_value) std::atomic_store(value, new_value)
    #define __pyx_atomic_pointer_load_relaxed(value) std::atomic_load_explicit(value, std::memory_order_relaxed)
    #define __pyx_atomic_pointer_load_acquire(value) std::atomic_load_explicit(value, std::memory_order_acquire)
    #define __pyx_atomic_pointer_exchange(value, new_value) std::atomic_exchange(value, (__pyx_nonatomic_ptr_type)new_value)
    #define __pyx_atomic_pointer_cmp_exchange(value, expected, desired) std::atomic_compare_exchange_strong(value, expected, desired)
    #if defined(__PYX_DEBUG_ATOMICS) && defined(_MSC_VER)
        #pragma message ("Using standard C++ atomics")
    #elif defined(__PYX_DEBUG_ATOMICS)
        #warning "Using standard C++ atomics"
    #endif
#elif CYTHON_ATOMICS && (__GNUC__ >= 5 || (__GNUC__ == 4 &&\
                    (__GNUC_MINOR__ > 1 ||\
                    (__GNUC_MINOR__ == 1 && __GNUC_PATCHLEVEL__ >= 2))))
    #define __pyx_atomic_ptr_type void*
    #define __pyx_nonatomic_ptr_type void*
    #define __pyx_atomic_incr_relaxed(value) __sync_fetch_and_add(value, 1)
    #define __pyx_atomic_incr_acq_rel(value) __sync_fetch_and_add(value, 1)
    #define __pyx_atomic_decr_acq_rel(value) __sync_fetch_and_sub(value, 1)
    #define __pyx_atomic_sub(value, arg) __sync_fetch_and_sub(value, arg)
    static CYTHON_INLINE int __pyx_atomic_int_cmp_exchange(__pyx_atomic_int_type* value, __pyx_nonatomic_int_type* expected, __pyx_nonatomic_int_type desired) {
        __pyx_nonatomic_int_type old = __sync_val_compare_and_swap(value, *expected, desired);
        int result = old == *expected;
        *expected = old;
        return result;
    }
    #define __pyx_atomic_load(value) __sync_fetch_and_add(value, 0)
    #define __pyx_atomic_store(value, new_value) __sync_lock_test_and_set(value, new_value)
    #define __pyx_atomic_pointer_load_relaxed(value) __sync_fetch_and_add(value, 0)
    #define __pyx_atomic_pointer_load_acquire(value) __sync_fetch_and_add(value, 0)
    #define __pyx_atomic_pointer_exchange(value, new_value) __sync_lock_test_and_set(value, (__pyx_atomic_ptr_type)new_value)
    static CYTHON_INLINE int __pyx_atomic_pointer_cmp_exchange(__pyx_atomic_ptr_type* value, __pyx_nonatomic_ptr_type* expected, __pyx_nonatomic_ptr_type desired) {
        __pyx_nonatomic_ptr_type old = __sync_val_compare_and_swap(value, *expected, desired);
        int result = old == *expected;
        *expected = old;
        return result;
    }
    #ifdef __PYX_DEBUG_ATOMICS
        #warning "Using GNU atomics"
    #endif
#elif CYTHON_ATOMICS && defined(_MSC_VER)
    #include <intrin.h>
    #undef __pyx_atomic_int_type
    #define __pyx_atomic_int_type long
    #define __pyx_atomic_ptr_type void*
    #undef __pyx_nonatomic_int_type
    #define __pyx_nonatomic_int_type long
    #define __pyx_nonatomic_ptr_type void*
    #pragma intrinsic (_InterlockedExchangeAdd, _InterlockedExchange, _InterlockedCompareExchange, _InterlockedCompareExchangePointer, _InterlockedExchangePointer)
    #define __pyx_atomic_incr_relaxed(value) _InterlockedExchangeAdd(value, 1)
    #define __pyx_atomic_incr_acq_rel(value) _InterlockedExchangeAdd(value, 1)
    #define __pyx_atomic_decr_acq_rel(value) _InterlockedExchangeAdd(value, -1)
    #define __pyx_atomic_sub(value, arg) _InterlockedExchangeAdd(value, -arg)
    static CYTHON_INLINE int __pyx_atomic_int_cmp_exchange(__pyx_atomic_int_type* value, __pyx_nonatomic_int_type* expected, __pyx_nonatomic_int_type desired) {
        __pyx_nonatomic_int_type old = _InterlockedCompareExchange(value, desired, *expected);
        int result = old == *expected;
        *expected = old;
        return result;
    }
    #define __pyx_atomic_load(value) _InterlockedExchangeAdd(value, 0)
    #define __pyx_atomic_store(value, new_value) _InterlockedExchange(value, new_value)
    #define __pyx_atomic_pointer_load_relaxed(value) *(void * volatile *)value
    #define __pyx_atomic_pointer_load_acquire(value) _InterlockedCompareExchangePointer(value, 0, 0)
    #define __pyx_atomic_pointer_exchange(value, new_value) _InterlockedExchangePointer(value, (__pyx_atomic_ptr_type)new_value)
    static CYTHON_INLINE int __pyx_atomic_pointer_cmp_exchange(__pyx_atomic_ptr_type* value, __pyx_nonatomic_ptr_type* expected, __pyx_nonatomic_ptr_type desired) {
        __pyx_atomic_ptr_type old = _InterlockedCompareExchangePointer(value, desired, *expected);
        int result = old == *expected;
        *expected = old;
        return result;
    }
    #ifdef __PYX_DEBUG_ATOMICS
        #pragma message ("Using MSVC atomics")
    #endif
#else
    #undef CYTHON_ATOMICS
    #define CYTHON_ATOMICS 0
    #ifdef __PYX_DEBUG_ATOMICS
        #warning "Not using atomics"
    #endif
#endif
 
/* CriticalSectionsDefinition.proto (used by CriticalSections) */
#if !CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
#define __Pyx_PyCriticalSection void*
#define __Pyx_PyCriticalSection2 void*
#define __Pyx_PyCriticalSection_End(cs)
#define __Pyx_PyCriticalSection2_End(cs)
#else
#define __Pyx_PyCriticalSection PyCriticalSection
#define __Pyx_PyCriticalSection2 PyCriticalSection2
#define __Pyx_PyCriticalSection_End PyCriticalSection_End
#define __Pyx_PyCriticalSection2_End PyCriticalSection2_End
#endif
 
/* CriticalSections.proto (used by ParseKeywordsImpl) */
#if !CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
#define __Pyx_PyCriticalSection_Begin(cs, arg) (void)(cs)
#define __Pyx_PyCriticalSection2_Begin(cs, arg1, arg2) (void)(cs)
#else
#define __Pyx_PyCriticalSection_Begin PyCriticalSection_Begin
#define __Pyx_PyCriticalSection2_Begin PyCriticalSection2_Begin
#endif
#if PY_VERSION_HEX < 0x030d0000 || CYTHON_COMPILING_IN_LIMITED_API
#define __Pyx_BEGIN_CRITICAL_SECTION(o) {
#define __Pyx_END_CRITICAL_SECTION() }
#else
#define __Pyx_BEGIN_CRITICAL_SECTION Py_BEGIN_CRITICAL_SECTION
#define __Pyx_END_CRITICAL_SECTION Py_END_CRITICAL_SECTION
#endif
 
/* 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
 * 
 * ctypedef npy_longlong   longlong_t             # <<<<<<<<<<<<<<
 * ctypedef npy_ulonglong  ulonglong_t
 * 
*/
typedef npy_longlong __pyx_t_5numpy_longlong_t;
 
/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":780
 * 
 * ctypedef npy_longlong   longlong_t
 * ctypedef npy_ulonglong  ulonglong_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_intp       intp_t
*/
typedef npy_ulonglong __pyx_t_5numpy_ulonglong_t;
 
/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":782
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 * ctypedef npy_intp       intp_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uintp      uintp_t
 * 
*/
typedef npy_intp __pyx_t_5numpy_intp_t;
 
/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":783
 * 
 * ctypedef npy_intp       intp_t
 * ctypedef npy_uintp      uintp_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_double     float_t
*/
typedef npy_uintp __pyx_t_5numpy_uintp_t;
 
/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":785
 * ctypedef npy_uintp      uintp_t
 * 
 * ctypedef npy_double     float_t             # <<<<<<<<<<<<<<
 * ctypedef npy_double     double_t
 * ctypedef npy_longdouble longdouble_t
*/
typedef npy_double __pyx_t_5numpy_float_t;
 
/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":786
 * 
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longdouble longdouble_t
 * 
*/
typedef npy_double __pyx_t_5numpy_double_t;
 
/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":787
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t
 * ctypedef npy_longdouble longdouble_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef float complex       cfloat_t
*/
typedef npy_longdouble __pyx_t_5numpy_longdouble_t;
 
/* "subsurfaceTransportFunctions.pyx":15
 * cdef inline double double_min(double a, double b): return a if a <= b else b
 * 
 * ctypedef numpy.double_t DTYPE_t             # <<<<<<<<<<<<<<
 * #numpy.intc_t not in cython's numpy.pxd
 * ctypedef int ITYPE_t
*/
typedef __pyx_t_5numpy_double_t __pyx_t_28subsurfaceTransportFunctions_DTYPE_t;
 
/* "subsurfaceTransportFunctions.pyx":17
 * ctypedef numpy.double_t DTYPE_t
 * #numpy.intc_t not in cython's numpy.pxd
 * ctypedef int ITYPE_t             # <<<<<<<<<<<<<<
 * 
 * def setExteriorElementBoundaryTypes(int nExteriorElementBoundaries_global,
*/
typedef int __pyx_t_28subsurfaceTransportFunctions_ITYPE_t;
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/* Declarations.proto */
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static CYTHON_INLINE __pyx_t_long_double_complex __pyx_t_long_double_complex_from_parts(long double, long double);
 
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/* GetTopmostException.proto (used by SaveResetException) */
#if CYTHON_USE_EXC_INFO_STACK && CYTHON_FAST_THREAD_STATE
static _PyErr_StackItem * __Pyx_PyErr_GetTopmostException(PyThreadState *tstate);
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/* PyThreadStateGet.proto (used by SaveResetException) */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_PyThreadState_declare  PyThreadState *__pyx_tstate;
#define __Pyx_PyThreadState_assign  __pyx_tstate = __Pyx_PyThreadState_Current;
#if PY_VERSION_HEX >= 0x030C00A6
#define __Pyx_PyErr_Occurred()  (__pyx_tstate->current_exception != NULL)
#define __Pyx_PyErr_CurrentExceptionType()  (__pyx_tstate->current_exception ? (PyObject*) Py_TYPE(__pyx_tstate->current_exception) : (PyObject*) NULL)
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#define __Pyx_PyErr_Occurred()  (__pyx_tstate->curexc_type != NULL)
#define __Pyx_PyErr_CurrentExceptionType()  (__pyx_tstate->curexc_type)
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#define __Pyx_PyThreadState_declare
#define __Pyx_PyThreadState_assign
#define __Pyx_PyErr_Occurred()  (PyErr_Occurred() != NULL)
#define __Pyx_PyErr_CurrentExceptionType()  PyErr_Occurred()
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/* SaveResetException.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_ExceptionSave(type, value, tb)  __Pyx__ExceptionSave(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#define __Pyx_ExceptionReset(type, value, tb)  __Pyx__ExceptionReset(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
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#define __Pyx_ExceptionSave(type, value, tb)   PyErr_GetExcInfo(type, value, tb)
#define __Pyx_ExceptionReset(type, value, tb)  PyErr_SetExcInfo(type, value, tb)
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/* FastTypeChecks.proto (used by PyException_Check) */
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_TypeCheck(obj, type) __Pyx_IsSubtype(Py_TYPE(obj), (PyTypeObject *)type)
#define __Pyx_TypeCheck2(obj, type1, type2) __Pyx_IsAnySubtype2(Py_TYPE(obj), (PyTypeObject *)type1, (PyTypeObject *)type2)
static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b);
static CYTHON_INLINE int __Pyx_IsAnySubtype2(PyTypeObject *cls, PyTypeObject *a, PyTypeObject *b);
#define __Pyx_PyAnySet_Check(obj)  __Pyx_TypeCheck2(obj, &PySet_Type, &PyFrozenSet_Type)
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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)
#endif
 
/* PyException_Check.proto */
#define __Pyx_PyExc_Exception_Check(obj)  __Pyx_TypeCheck(obj, PyExc_Exception)
 
/* PyErrFetchRestore.proto (used by GivenExceptionMatches) */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_PyErr_Clear() __Pyx_ErrRestore(NULL, NULL, NULL)
#define __Pyx_ErrRestoreWithState(type, value, tb)  __Pyx_ErrRestoreInState(PyThreadState_GET(), type, value, tb)
#define __Pyx_ErrFetchWithState(type, value, tb)    __Pyx_ErrFetchInState(PyThreadState_GET(), type, value, tb)
#define __Pyx_ErrRestore(type, value, tb)  __Pyx_ErrRestoreInState(__pyx_tstate, type, value, tb)
#define __Pyx_ErrFetch(type, value, tb)    __Pyx_ErrFetchInState(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030C00A6
#define __Pyx_PyErr_SetNone(exc) (Py_INCREF(exc), __Pyx_ErrRestore((exc), NULL, NULL))
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#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
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#define __Pyx_PyErr_Clear() PyErr_Clear()
#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
#define __Pyx_ErrRestoreWithState(type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetchWithState(type, value, tb)  PyErr_Fetch(type, value, tb)
#define __Pyx_ErrRestoreInState(tstate, type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetchInState(tstate, type, value, tb)  PyErr_Fetch(type, value, tb)
#define __Pyx_ErrRestore(type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetch(type, value, tb)  PyErr_Fetch(type, value, tb)
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/* GivenExceptionMatches.proto (used by PyErrExceptionMatches) */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject *type);
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *type1, PyObject *type2);
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#define __Pyx_PyErr_GivenExceptionMatches(err, type) PyErr_GivenExceptionMatches(err, type)
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *type1, PyObject *type2) {
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#define __Pyx_PyErr_ExceptionMatches2(err1, err2)  __Pyx_PyErr_GivenExceptionMatches2(__Pyx_PyErr_CurrentExceptionType(), err1, err2)
 
/* PyErrExceptionMatches.proto */
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#define __Pyx_PyErr_ExceptionMatches(err) __Pyx_PyErr_ExceptionMatchesInState(__pyx_tstate, err)
static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err);
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#define __Pyx_PyErr_ExceptionMatches(err)  PyErr_ExceptionMatches(err)
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/* GetException.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_GetException(type, value, tb)  __Pyx__GetException(__pyx_tstate, type, value, tb)
static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
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static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb);
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/* PyImportError_Check.proto */
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/* PyObjectCall.proto (used by PyObjectFastCall) */
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static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw);
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#define __Pyx_PyObject_Call(func, arg, kw) PyObject_Call(func, arg, kw)
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static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg);
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/* PyObjectFastCall.proto */
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static CYTHON_INLINE PyObject* __Pyx_PyObject_FastCallDict(PyObject *func, PyObject * const*args, size_t nargsf, PyObject *kwargs);
 
/* RaiseException.export */
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause);
 
/* CopyObjectArray.proto (used by TupleOrListFromArrayImpl) */
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static CYTHON_INLINE void __Pyx_copy_object_array(PyObject *const *CYTHON_RESTRICT src, PyObject** CYTHON_RESTRICT dest, Py_ssize_t length);
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/* TupleFromArray.proto (used by fastcall) */
 
 
/* IncludeStringH.proto (used by PyObjectCompare) */
#include <string.h>
 
/* PyObjectCompare.proto (used by UnicodeEquals) */
static CYTHON_INLINE int __Pyx_PyObject_CompareBoolEq_str_str(PyObject *op1, PyObject *op2, int pyop);
 
/* UnicodeEquals.proto (used by fastcall) */
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/* fastcall.proto */
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#define __Pyx_NumKwargs_VARARGS(kwds) PyDict_Size(kwds)
#define __Pyx_KwValues_VARARGS(args, nargs) NULL
#define __Pyx_GetKwValue_VARARGS(kw, kwvalues, s) __Pyx_PyDict_GetItemStrWithError(kw, s)
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    #define __Pyx_GetKwValue_FASTCALL __Pyx_GetKwValue_VARARGS
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/* py_dict_items.proto (used by OwnedDictNext) */
#define __Pyx_PyDict_items_TypePtr  (&PyDictKeys_Type)
#define __Pyx_PyDict_items_Check(obj)  PyObject_TypeCheck((obj), __Pyx_PyDictItems_TypePtr)
#define __Pyx_PyDict_items_CheckExact(obj)  Py_IS_TYPE((obj), __Pyx_PyDictItems_TypePtr)
static CYTHON_INLINE PyObject* __Pyx_PyDict_Items(PyObject* d);
 
/* CallCFunction.proto (used by CallUnboundCMethod0) */
#define __Pyx_CallCFunction(cfunc, self, args)\
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#define __Pyx_CallCFunctionWithKeywords(cfunc, self, args, kwargs)\
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#define __Pyx_CallCFunctionFast(cfunc, self, args, nargs)\
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#define __Pyx_CallCFunctionFastWithKeywords(cfunc, self, args, nargs, kwnames)\
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/* PyObjectCallOneArg.proto (used by CallUnboundCMethod0) */
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg);
 
/* UnpackUnboundCMethod_decl.proto (used by UnpackUnboundCMethod) */
typedef struct {
    PyObject *type;
    PyObject **method_name;
    PyCFunction func;
    PyObject *method;
    int flag;
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING && CYTHON_ATOMICS
    __pyx_atomic_int_type initialized;
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/* IgnoreException.proto (used by UnpackUnboundCMethod_impl) */
static CYTHON_INLINE int __Pyx_IgnoreGivenException(PyObject *given_exception, PyObject *ignorable_exception);
#define __Pyx_IgnoreException(ignorable_exception) __Pyx_IgnoreGivenException(NULL, ignorable_exception)
 
/* PyObjectGetAttrStr.proto (used by UnpackUnboundCMethod_impl) */
#if CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject* obj, PyObject* attr_name);
#else
#define __Pyx_PyObject_GetAttrStr(o,n) PyObject_GetAttr(o,n)
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/* UnpackUnboundCMethod_impl.export */
static int __Pyx_TryUnpackUnboundCMethod(__Pyx_CachedCFunction* target);
 
/* UnpackUnboundCMethod.proto (used by CallUnboundCMethod0) */
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
static CYTHON_INLINE int __Pyx_CachedCFunction_GetAndSetInitializing(__Pyx_CachedCFunction *cfunc) {
#if !CYTHON_ATOMICS
    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);
 
/* 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 };
 
/* BufferIndexError.proto */
static void __Pyx_RaiseBufferIndexError(int axis);
 
#define __Pyx_BufPtrStrided1d(type, buf, i0, s0) (type)((char*)buf + i0 * s0)
#define __Pyx_BufPtrStrided2d(type, buf, i0, s0, i1, s1) (type)((char*)buf + i0 * s0 + i1 * s1)
/* PyFrozenDict.proto (used by DictGetItem) */
#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
 
/* DictGetItem.proto */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject *__Pyx_PyDict_GetItem(PyObject *d, PyObject* key);
#define __Pyx_PyObject_Dict_GetItem(obj, name)\
    (likely(__Pyx_PyAnyDict_CheckExact(obj)) ?\
     __Pyx_PyDict_GetItem(obj, name) : PyObject_GetItem(obj, name))
#else
#define __Pyx_PyDict_GetItem(d, key) PyObject_GetItem(d, key)
#define __Pyx_PyObject_Dict_GetItem(obj, name)  PyObject_GetItem(obj, name)
#endif
 
/* FormatTypeName.proto (used by RaiseErrorWithObjectTypes) */
#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
 
/* 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
 
/* PyNumberBinop.proto */
#if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL || CYTHON_COMPILING_IN_LIMITED_API
#define __Pyx_PyNumber_Multiply_float_object(op1, op2)  PyNumber_Multiply(op1, op2)
#define __Pyx_PyNumber_InPlaceMultiply_float_object(op1, op2)  PyNumber_InPlaceMultiply(op1, op2)
#else
#define __Pyx_PyNumber_Multiply_float_object(op1, op2)  __Pyx__PyNumber_Multiply_float_object(op1, op2, 0)
#define __Pyx_PyNumber_InPlaceMultiply_float_object(op1, op2)  __Pyx__PyNumber_Multiply_float_object(op1, op2, 1)
static CYTHON_INLINE PyObject* __Pyx__PyNumber_Multiply_float_object(PyObject *op1, PyObject *op2, int inplace);
#endif
 
#define __Pyx_BufPtrStrided3d(type, buf, i0, s0, i1, s1, i2, s2) (type)((char*)buf + i0 * s0 + i1 * s1 + i2 * s2)
/* 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);
 
/* 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
 
/* PyNumberBinop.proto */
#if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL || CYTHON_COMPILING_IN_LIMITED_API
#define __Pyx_PyNumber_Multiply_object_object(op1, op2)  PyNumber_Multiply(op1, op2)
#define __Pyx_PyNumber_InPlaceMultiply_object_object(op1, op2)  PyNumber_InPlaceMultiply(op1, op2)
#else
#define __Pyx_PyNumber_Multiply_object_object(op1, op2)  __Pyx__PyNumber_Multiply_object_object(op1, op2, 0)
#define __Pyx_PyNumber_InPlaceMultiply_object_object(op1, op2)  __Pyx__PyNumber_Multiply_object_object(op1, op2, 1)
static CYTHON_INLINE PyObject* __Pyx__PyNumber_Multiply_object_object(PyObject *op1, PyObject *op2, int inplace);
#endif
 
/* PyFloatBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyFloat_AddObjC(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyFloat_AddObjC(op1, op2, floatval, inplace, zerodivision_check)\
    (inplace ? PyNumber_InPlaceAdd(op1, op2) : PyNumber_Add(op1, op2))
#endif
 
#define __Pyx_BufPtrStrided4d(type, buf, i0, s0, i1, s1, i2, s2, i3, s3) (type)((char*)buf + i0 * s0 + i1 * s1 + i2 * s2 + i3 * s3)
/* GetBuiltinName.proto (used by GetModuleGlobalName) */
static PyObject *__Pyx_GetBuiltinName(PyObject *name);
 
/* PyDictVersioning.proto (used by GetModuleGlobalName) */
#if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS
#define __PYX_DICT_VERSION_INIT  ((PY_UINT64_T) -1)
#define __PYX_GET_DICT_VERSION(dict)  (((PyDictObject*)(dict))->ma_version_tag)
#define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var)\
    (version_var) = __PYX_GET_DICT_VERSION(dict);\
    (cache_var) = (value);
#define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP) {\
    static PY_UINT64_T __pyx_dict_version = 0;\
    static PyObject *__pyx_dict_cached_value = NULL;\
    if (likely(__PYX_GET_DICT_VERSION(DICT) == __pyx_dict_version)) {\
        (VAR) = __Pyx_XNewRef(__pyx_dict_cached_value);\
    } else {\
        (VAR) = __pyx_dict_cached_value = (LOOKUP);\
        __pyx_dict_version = __PYX_GET_DICT_VERSION(DICT);\
    }\
}
static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj);
static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj);
static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version);
#else
#define __PYX_GET_DICT_VERSION(dict)  (0)
#define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var)
#define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP)  (VAR) = (LOOKUP);
#endif
 
/* GetModuleGlobalName.proto */
#if CYTHON_USE_DICT_VERSIONS
#define __Pyx_GetModuleGlobalName(var, name)  do {\
    static PY_UINT64_T __pyx_dict_version = 0;\
    static PyObject *__pyx_dict_cached_value = NULL;\
    (var) = (likely(__pyx_dict_version == __PYX_GET_DICT_VERSION(__pyx_mstate_global->__pyx_d))) ?\
        (likely(__pyx_dict_cached_value) ? __Pyx_NewRef(__pyx_dict_cached_value) : __Pyx_GetBuiltinName(name)) :\
        __Pyx__GetModuleGlobalName(name, &__pyx_dict_version, &__pyx_dict_cached_value);\
} while(0)
#define __Pyx_GetModuleGlobalNameUncached(var, name)  do {\
    PY_UINT64_T __pyx_dict_version;\
    PyObject *__pyx_dict_cached_value;\
    (var) = __Pyx__GetModuleGlobalName(name, &__pyx_dict_version, &__pyx_dict_cached_value);\
} while(0)
static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value);
#else
#define __Pyx_GetModuleGlobalName(var, name)  (var) = __Pyx__GetModuleGlobalName(name)
#define __Pyx_GetModuleGlobalNameUncached(var, name)  (var) = __Pyx__GetModuleGlobalName(name)
static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name);
#endif
 
/* ExtTypeTest.proto */
static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type);
 
/* 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
 
/* PyObjectCompare.proto */
static CYTHON_INLINE int __Pyx_PyObject_CompareBoolEq_object_int(PyObject *op1, PyObject *op2, int pyop);
 
/* PyAssertionError_Check.proto */
#define __Pyx_PyExc_AssertionError_Check(obj)  __Pyx_TypeCheck(obj, PyExc_AssertionError)
 
/* PyNumberBinop.proto */
#if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL || CYTHON_COMPILING_IN_LIMITED_API
#define __Pyx_PyNumber_Multiply_object_float(op1, op2)  PyNumber_Multiply(op1, op2)
#define __Pyx_PyNumber_InPlaceMultiply_object_float(op1, op2)  PyNumber_InPlaceMultiply(op1, op2)
#else
#define __Pyx_PyNumber_Multiply_object_float(op1, op2)  __Pyx__PyNumber_Multiply_object_float(op1, op2, 0)
#define __Pyx_PyNumber_InPlaceMultiply_object_float(op1, op2)  __Pyx__PyNumber_Multiply_object_float(op1, op2, 1)
static CYTHON_INLINE PyObject* __Pyx__PyNumber_Multiply_object_float(PyObject *op1, PyObject *op2, int inplace);
#endif
 
/* PyNumberBinop.proto */
#if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL || CYTHON_COMPILING_IN_LIMITED_API
#define __Pyx_PyNumber_Subtract_float_object(op1, op2)  PyNumber_Subtract(op1, op2)
#define __Pyx_PyNumber_InPlaceSubtract_float_object(op1, op2)  PyNumber_InPlaceSubtract(op1, op2)
#else
#define __Pyx_PyNumber_Subtract_float_object(op1, op2)  __Pyx__PyNumber_Subtract_float_object(op1, op2, 0)
#define __Pyx_PyNumber_InPlaceSubtract_float_object(op1, op2)  __Pyx__PyNumber_Subtract_float_object(op1, op2, 1)
static CYTHON_INLINE PyObject* __Pyx__PyNumber_Subtract_float_object(PyObject *op1, PyObject *op2, int inplace);
#endif
 
/* PyNumberBinop.proto */
#if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL || CYTHON_COMPILING_IN_LIMITED_API
#define __Pyx_PyNumber_Add_object_float(op1, op2)  PyNumber_Add(op1, op2)
#define __Pyx_PyNumber_InPlaceAdd_object_float(op1, op2)  PyNumber_InPlaceAdd(op1, op2)
#else
#define __Pyx_PyNumber_Add_object_float(op1, op2)  __Pyx__PyNumber_Add_object_float(op1, op2, 0)
#define __Pyx_PyNumber_InPlaceAdd_object_float(op1, op2)  __Pyx__PyNumber_Add_object_float(op1, op2, 1)
static CYTHON_INLINE PyObject* __Pyx__PyNumber_Add_object_float(PyObject *op1, PyObject *op2, int inplace);
#endif
 
/* pybytes_as_double.proto (used by pyobject_as_double) */
static double __Pyx_SlowPyString_AsDouble(PyObject *obj);
static double __Pyx__PyBytes_AsDouble(PyObject *obj, const char* start, Py_ssize_t length);
static CYTHON_INLINE double __Pyx_PyBytes_AsDouble(PyObject *obj) {
    char* as_c_string;
    Py_ssize_t size;
#if CYTHON_ASSUME_SAFE_MACROS && CYTHON_ASSUME_SAFE_SIZE
    as_c_string = PyBytes_AS_STRING(obj);
    size = PyBytes_GET_SIZE(obj);
#else
    if (PyBytes_AsStringAndSize(obj, &as_c_string, &size) < 0) {
        return (double)-1;
    }
#endif
    return __Pyx__PyBytes_AsDouble(obj, as_c_string, size);
}
static CYTHON_INLINE double __Pyx_PyByteArray_AsDouble(PyObject *obj) {
    char* as_c_string;
    Py_ssize_t size;
#if CYTHON_ASSUME_SAFE_MACROS && CYTHON_ASSUME_SAFE_SIZE
    as_c_string = PyByteArray_AS_STRING(obj);
    size = PyByteArray_GET_SIZE(obj);
#else
    as_c_string = PyByteArray_AsString(obj);
    if (as_c_string == NULL) {
        return (double)-1;
    }
    size = PyByteArray_Size(obj);
#endif
    return __Pyx__PyBytes_AsDouble(obj, as_c_string, size);
}
 
/* pyunicode_as_double.proto (used by pyobject_as_double) */
#if !CYTHON_COMPILING_IN_PYPY && CYTHON_ASSUME_SAFE_MACROS
static const char* __Pyx__PyUnicode_AsDouble_Copy(const void* data, const int kind, char* buffer, Py_ssize_t start, Py_ssize_t end) {
    int last_was_punctuation;
    Py_ssize_t i;
    last_was_punctuation = 1;
    for (i=start; i <= end; i++) {
        Py_UCS4 chr = PyUnicode_READ(kind, data, i);
        int is_punctuation = (chr == '_') | (chr == '.');
        *buffer = (char)chr;
        buffer += (chr != '_');
        if (unlikely(chr > 127)) goto parse_failure;
        if (unlikely(last_was_punctuation & is_punctuation)) goto parse_failure;
        last_was_punctuation = is_punctuation;
    }
    if (unlikely(last_was_punctuation)) goto parse_failure;
    *buffer = '\0';
    return buffer;
parse_failure:
    return NULL;
}
static double __Pyx__PyUnicode_AsDouble_inf_nan(const void* data, int kind, Py_ssize_t start, Py_ssize_t length) {
    int matches = 1;
    Py_UCS4 chr;
    Py_UCS4 sign = PyUnicode_READ(kind, data, start);
    int is_signed = (sign == '-') | (sign == '+');
    start += is_signed;
    length -= is_signed;
    switch (PyUnicode_READ(kind, data, start)) {
        #ifdef Py_NAN
        case 'n':
        case 'N':
            if (unlikely(length != 3)) goto parse_failure;
            chr = PyUnicode_READ(kind, data, start+1);
            matches &= (chr == 'a') | (chr == 'A');
            chr = PyUnicode_READ(kind, data, start+2);
            matches &= (chr == 'n') | (chr == 'N');
            if (unlikely(!matches)) goto parse_failure;
            return (sign == '-') ? -Py_NAN : Py_NAN;
        #endif
        case 'i':
        case 'I':
            if (unlikely(length < 3)) goto parse_failure;
            chr = PyUnicode_READ(kind, data, start+1);
            matches &= (chr == 'n') | (chr == 'N');
            chr = PyUnicode_READ(kind, data, start+2);
            matches &= (chr == 'f') | (chr == 'F');
            if (likely(length == 3 && matches))
                return (sign == '-') ? -Py_HUGE_VAL : Py_HUGE_VAL;
            if (unlikely(length != 8)) goto parse_failure;
            chr = PyUnicode_READ(kind, data, start+3);
            matches &= (chr == 'i') | (chr == 'I');
            chr = PyUnicode_READ(kind, data, start+4);
            matches &= (chr == 'n') | (chr == 'N');
            chr = PyUnicode_READ(kind, data, start+5);
            matches &= (chr == 'i') | (chr == 'I');
            chr = PyUnicode_READ(kind, data, start+6);
            matches &= (chr == 't') | (chr == 'T');
            chr = PyUnicode_READ(kind, data, start+7);
            matches &= (chr == 'y') | (chr == 'Y');
            if (unlikely(!matches)) goto parse_failure;
            return (sign == '-') ? -Py_HUGE_VAL : Py_HUGE_VAL;
        case '.': case '0': case '1': case '2': case '3': case '4': case '5': case '6': case '7': case '8': case '9':
            break;
        default:
            goto parse_failure;
    }
    return 0.0;
parse_failure:
    return -1.0;
}
static double __Pyx_PyUnicode_AsDouble_WithSpaces(PyObject *obj) {
    double value;
    const char *last;
    char *end;
    int valid_parse;
    Py_ssize_t start, length = PyUnicode_GET_LENGTH(obj);
    const int kind = PyUnicode_KIND(obj);
    const void* data = PyUnicode_DATA(obj);
    start = 0;
    while (Py_UNICODE_ISSPACE(PyUnicode_READ(kind, data, start)))
        start++;
    while (start < length - 1 && Py_UNICODE_ISSPACE(PyUnicode_READ(kind, data, length - 1)))
        length--;
    length -= start;
    if (unlikely(length <= 0)) goto fallback;
    value = __Pyx__PyUnicode_AsDouble_inf_nan(data, kind, start, length);
    if (value != 0.0) {
        if (unlikely(value == -1.0)) goto fallback;
        return value;
    }
    if (length < 40) {
        char number[40];
        last = __Pyx__PyUnicode_AsDouble_Copy(data, kind, number, start, start + length);
        if (unlikely(!last)) goto fallback;
        value = PyOS_string_to_double(number, &end, NULL);
        valid_parse = (end == last);
    } else {
        char *number = (char*) PyMem_Malloc(((size_t) length + 1) * sizeof(char));
        if (unlikely(!number)) goto fallback;
        last = __Pyx__PyUnicode_AsDouble_Copy(data, kind, number, start, start + length);
        if (unlikely(!last)) {
            PyMem_Free(number);
            goto fallback;
        }
        value = PyOS_string_to_double(number, &end, NULL);
        valid_parse = (end == last);
        PyMem_Free(number);
    }
    if (likely(valid_parse) || (value == (double)-1 && PyErr_Occurred())) {
        return value;
    }
fallback:
    return __Pyx_SlowPyString_AsDouble(obj);
}
#endif
static CYTHON_INLINE double __Pyx_PyUnicode_AsDouble(PyObject *obj) {
#if !CYTHON_COMPILING_IN_PYPY && CYTHON_ASSUME_SAFE_MACROS
    if (unlikely(__Pyx_PyUnicode_READY(obj) == -1))
        return (double)-1;
    if (likely(PyUnicode_IS_ASCII(obj))) {
        const char *s;
        Py_ssize_t length;
        s = PyUnicode_AsUTF8AndSize(obj, &length);
        return __Pyx__PyBytes_AsDouble(obj, s, length);
    }
    return __Pyx_PyUnicode_AsDouble_WithSpaces(obj);
#else
    return __Pyx_SlowPyString_AsDouble(obj);
#endif
}
 
/* pyobject_as_double.proto */
static double __Pyx__PyObject_AsDouble(PyObject* obj);
#if CYTHON_COMPILING_IN_PYPY
#define __Pyx_PyObject_AsDouble(obj)\
(likely(PyFloat_CheckExact(obj)) ? PyFloat_AS_DOUBLE(obj) :\
 likely(PyLong_CheckExact(obj)) ?\
 PyFloat_AsDouble(obj) : __Pyx__PyObject_AsDouble(obj))
#else
#define __Pyx_PyObject_AsDouble(obj)\
((likely(PyFloat_CheckExact(obj))) ?  __Pyx_PyFloat_AS_DOUBLE(obj) :\
 likely(PyLong_CheckExact(obj)) ?\
 PyLong_AsDouble(obj) : __Pyx__PyObject_AsDouble(obj))
#endif
 
/* FloatExceptionCheck.proto */
#define __PYX_CHECK_FLOAT_EXCEPTION(value, error_value)\
    ((error_value) == (error_value) ?\
     (value) == (error_value) :\
     (value) != (value))
 
/* 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);
 
/* 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))
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    #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))
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    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);
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/* 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
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    #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))
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    static CYTHON_INLINE int __Pyx_c_eq_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex);
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    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_diff_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex);
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    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);
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/* 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_npy_intp(npy_intp value);
 
/* CIntFromPy.proto */
static CYTHON_INLINE npy_intp __Pyx_PyLong_As_npy_intp(PyObject *);
 
/* 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);
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#define __Pyx_init_runtime_version()
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static unsigned long __Pyx_get_runtime_version(void);
 
/* CheckBinaryVersion.proto */
static int __Pyx_check_binary_version(unsigned long ct_version, unsigned long rt_version, int allow_newer);
 
/* DecompressString.proto */
static PyObject *__Pyx_DecompressString(const char *s, Py_ssize_t length, int algo);
 
/* DecompressString_LZSS.proto */
static PyObject *__Pyx_DecompressString_LZSS(const char *s, size_t compressed_length, size_t uncompressed_length);
 
/* MultiPhaseInitModuleState.proto */
#if CYTHON_PEP489_MULTI_PHASE_INIT && CYTHON_USE_MODULE_STATE
#include <stdlib.h>
static PyObject *__Pyx_State_FindModule(void*);
static int __Pyx_State_AddModule(PyObject* module, void*);
static int __Pyx_State_RemoveModule(void*);
#elif CYTHON_USE_MODULE_STATE
#define __Pyx_State_FindModule PyState_FindModule
#define __Pyx_State_AddModule PyState_AddModule
#define __Pyx_State_RemoveModule PyState_RemoveModule
#endif
 
/* #### Code section: module_declarations ### */
/* CythonABIVersion.proto */
#if CYTHON_COMPILING_IN_LIMITED_API
    #if CYTHON_VECTORCALL
        #define __PYX_VECTORCALL_ABI_SUFFIX  "_vectorcall"
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        #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
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    #define __PYX_AM_SEND_ABI_SUFFIX "amsendbackport"
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    #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
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    #define __PYX_TP_FINALIZE_ABI_SUFFIX "nofinalize"
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#if CYTHON_USE_FREELISTS || !defined(__Pyx_AsyncGen_USED)
    #define __PYX_FREELISTS_ABI_SUFFIX
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    #define __PYX_FREELISTS_ABI_SUFFIX "nofreelists"
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#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 "subsurfaceTransportFunctions" */
/* #### Code section: typeinfo ### */
static const __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_28subsurfaceTransportFunctions_ITYPE_t = { "ITYPE_t", NULL, sizeof(__pyx_t_28subsurfaceTransportFunctions_ITYPE_t), { 0 }, 0, __PYX_IS_UNSIGNED(__pyx_t_28subsurfaceTransportFunctions_ITYPE_t) ? 'U' : 'I', __PYX_IS_UNSIGNED(__pyx_t_28subsurfaceTransportFunctions_ITYPE_t), 0 };
static const __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_28subsurfaceTransportFunctions_DTYPE_t = { "DTYPE_t", NULL, sizeof(__pyx_t_28subsurfaceTransportFunctions_DTYPE_t), { 0 }, 0, 'R', 0, 0 };
/* #### Code section: before_global_var ### */
#define __Pyx_MODULE_NAME "subsurfaceTransportFunctions"
extern int __pyx_module_is_main_subsurfaceTransportFunctions;
int __pyx_module_is_main_subsurfaceTransportFunctions = 0;
 
/* Implementation of "subsurfaceTransportFunctions" */
/* #### Code section: global_var ### */
/* #### Code section: string_decls ### */
/* #### Code section: decls ### */
static PyObject *__pyx_pf_28subsurfaceTransportFunctions_setExteriorElementBoundaryTypes(CYTHON_UNUSED PyObject *__pyx_self, int __pyx_v_nExteriorElementBoundaries_global, PyArrayObject *__pyx_v_exteriorElementBoundariesArray, PyArrayObject *__pyx_v_elementBoundaryElementsArray, PyArrayObject *__pyx_v_elementMaterialTypes, PyArrayObject *__pyx_v_exteriorElementBoundaryMaterialTypes); /* proto */
static PyObject *__pyx_pf_28subsurfaceTransportFunctions_2setElementBoundariesArray(CYTHON_UNUSED PyObject *__pyx_self, int __pyx_v_nElementBoundaries_global, PyArrayObject *__pyx_v_elementBoundaryElementsArray, PyArrayObject *__pyx_v_elementMaterialTypes, PyArrayObject *__pyx_v_elementBoundaryMaterialTypes); /* proto */
static PyObject *__pyx_pf_28subsurfaceTransportFunctions_4setScalarMaterialFunctionOverElements(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_elementMaterialTypes, PyArrayObject *__pyx_v_q_vals, PyObject *__pyx_v_material_functions); /* proto */
static PyObject *__pyx_pf_28subsurfaceTransportFunctions_6setVectorMaterialFunctionOverElements(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_elementMaterialTypes, PyArrayObject *__pyx_v_q_vals, PyObject *__pyx_v_material_functions); /* proto */
static PyObject *__pyx_pf_28subsurfaceTransportFunctions_8setScalarMaterialFunctionOverElementBoundaries_arithmeticAverage(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_elementBoundariesArray, PyArrayObject *__pyx_v_elementBoundaryTypes, PyArrayObject *__pyx_v_ebq_vals, PyObject *__pyx_v_material_functions); /* proto */
static PyObject *__pyx_pf_28subsurfaceTransportFunctions_10setSparseTensorMaterialFunctionOverElementBoundaries_harmonicAverage(CYTHON_UNUSED PyObject *__pyx_self, int __pyx_v_nd, PyArrayObject *__pyx_v_elementBoundariesArray, PyArrayObject *__pyx_v_elementBoundaryTypes, PyArrayObject *__pyx_v_ebq_vals, PyObject *__pyx_v_material_functions); /* proto */
static PyObject *__pyx_pf_28subsurfaceTransportFunctions_12setScalarMaterialFunctionOverGlobalElementBoundaries_arithmeticAverage(CYTHON_UNUSED PyObject *__pyx_self, CYTHON_UNUSED PyArrayObject *__pyx_v_elementBoundariesArray, PyArrayObject *__pyx_v_elementBoundaryTypes, PyArrayObject *__pyx_v_ebq_global_vals, PyObject *__pyx_v_material_functions); /* proto */
static PyObject *__pyx_pf_28subsurfaceTransportFunctions_14setSparseTensorMaterialFunctionOverGlobalElementBoundaries_harmonicAverage(CYTHON_UNUSED PyObject *__pyx_self, int __pyx_v_nd, CYTHON_UNUSED PyArrayObject *__pyx_v_elementBoundariesArray, PyArrayObject *__pyx_v_elementBoundaryTypes, PyArrayObject *__pyx_v_ebq_global_vals, PyObject *__pyx_v_material_functions); /* proto */
static PyObject *__pyx_pf_28subsurfaceTransportFunctions_16evaluateScalarMaterialFunctionOverElements(CYTHON_UNUSED PyObject *__pyx_self, double __pyx_v_t, PyArrayObject *__pyx_v_elementMaterialTypes, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_q_vals, PyObject *__pyx_v_material_functions); /* proto */
static PyObject *__pyx_pf_28subsurfaceTransportFunctions_18evaluateVectorMaterialFunctionOverElements(CYTHON_UNUSED PyObject *__pyx_self, double __pyx_v_t, PyArrayObject *__pyx_v_elementMaterialTypes, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_q_vals, PyObject *__pyx_v_material_functions); /* proto */
static PyObject *__pyx_pf_28subsurfaceTransportFunctions_20evaluateScalarMaterialFunctionOverElementBoundaries_arithmeticAverage(CYTHON_UNUSED PyObject *__pyx_self, double __pyx_v_t, PyArrayObject *__pyx_v_elementBoundariesArray, PyArrayObject *__pyx_v_elementBoundaryTypes, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_ebq_vals, PyObject *__pyx_v_material_functions); /* proto */
static PyObject *__pyx_pf_28subsurfaceTransportFunctions_22evaluateSparseTensorMaterialFunctionOverElementBoundaries_harmonicAverage(CYTHON_UNUSED PyObject *__pyx_self, int __pyx_v_nd, double __pyx_v_t, PyArrayObject *__pyx_v_elementBoundariesArray, PyArrayObject *__pyx_v_elementBoundaryTypes, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_ebq_vals, PyObject *__pyx_v_material_functions); /* proto */
static PyObject *__pyx_pf_28subsurfaceTransportFunctions_24evaluateScalarMaterialFunctionOverGlobalElementBoundaries_arithmeticAverage(CYTHON_UNUSED PyObject *__pyx_self, double __pyx_v_t, CYTHON_UNUSED PyArrayObject *__pyx_v_elementBoundariesArray, PyArrayObject *__pyx_v_elementBoundaryTypes, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_ebq_global_vals, PyObject *__pyx_v_material_functions); /* proto */
static PyObject *__pyx_pf_28subsurfaceTransportFunctions_26evaluateSparseTensorMaterialFunctionOverGlobalElementBoundaries_harmonicAverage(CYTHON_UNUSED PyObject *__pyx_self, int __pyx_v_nd, double __pyx_v_t, CYTHON_UNUSED PyArrayObject *__pyx_v_elementBoundariesArray, PyArrayObject *__pyx_v_elementBoundaryTypes, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_ebq_global_vals, PyObject *__pyx_v_material_functions); /* proto */
static PyObject *__pyx_pf_28subsurfaceTransportFunctions_28RE_NCP1_evaluateElementCoefficients_Linear(CYTHON_UNUSED PyObject *__pyx_self, double __pyx_v_rho, PyArrayObject *__pyx_v_gravity, PyArrayObject *__pyx_v_rowptr, PyArrayObject *__pyx_v_colind, PyArrayObject *__pyx_v_KWs, int __pyx_v_nSpace, int __pyx_v_nElements_global, int __pyx_v_nElementBoundaries_element, PyArrayObject *__pyx_v_elementNeighborsArray, PyArrayObject *__pyx_v_elementMaterialTypes, PyArrayObject *__pyx_v_q_flin, PyArrayObject *__pyx_v_q_alin); /* proto */
static PyObject *__pyx_pf_28subsurfaceTransportFunctions_30RE_NCP1_evaluateElementCoefficients_VGM(CYTHON_UNUSED PyObject *__pyx_self, double __pyx_v_rho, double __pyx_v_beta, PyArrayObject *__pyx_v_gravity, PyArrayObject *__pyx_v_alpha, PyArrayObject *__pyx_v_n, PyArrayObject *__pyx_v_thetaR, PyArrayObject *__pyx_v_thetaSR, int __pyx_v_nSpace, int __pyx_v_nElements_global, int __pyx_v_nElementBoundaries_element, PyArrayObject *__pyx_v_elementNeighborsArray, PyArrayObject *__pyx_v_elementBarycentersArray, PyArrayObject *__pyx_v_elementMaterialTypes, int __pyx_v_nDOF_trial_element, PyArrayObject *__pyx_v_u_l2g, PyArrayObject *__pyx_v_u_dof, CYTHON_UNUSED PyArrayObject *__pyx_v_q_x, PyArrayObject *__pyx_v_q_u, PyArrayObject *__pyx_v_q_mass, PyArrayObject *__pyx_v_q_dmass, PyArrayObject *__pyx_v_q_r, PyArrayObject *__pyx_v_q_kr, PyArrayObject *__pyx_v_q_dkr, PyArrayObject *__pyx_v_q_kr_up); /* proto */
static PyObject *__pyx_pf_28subsurfaceTransportFunctions_32RE_NCP1_getElementResidual(CYTHON_UNUSED PyObject *__pyx_self, CYTHON_UNUSED PyArrayObject *__pyx_v_gravity, PyArrayObject *__pyx_v_rowptr, PyArrayObject *__pyx_v_colind, int __pyx_v_nSpace, int __pyx_v_nElements_global, int __pyx_v_nElementBoundaries_element, CYTHON_UNUSED PyArrayObject *__pyx_v_elementNeighborsArray, CYTHON_UNUSED PyArrayObject *__pyx_v_elementBarycentersArray, int __pyx_v_nDOF_test_element, PyArrayObject *__pyx_v_q_u, PyArrayObject *__pyx_v_q_grad_u, PyArrayObject *__pyx_v_q_grad_w, PyArrayObject *__pyx_v_q_detJ, PyArrayObject *__pyx_v_q_m, PyArrayObject *__pyx_v_q_mt, PyArrayObject *__pyx_v_q_r, PyArrayObject *__pyx_v_q_kr, PyArrayObject *__pyx_v_q_kr_up, PyArrayObject *__pyx_v_q_flin, PyArrayObject *__pyx_v_q_alin, PyArrayObject *__pyx_v_elementResidual); /* proto */
static PyObject *__pyx_pf_28subsurfaceTransportFunctions_34RE_NCP1_getElementJacobian(CYTHON_UNUSED PyObject *__pyx_self, CYTHON_UNUSED PyArrayObject *__pyx_v_gravity, PyArrayObject *__pyx_v_rowptr, PyArrayObject *__pyx_v_colind, int __pyx_v_nSpace, int __pyx_v_nElements_global, int __pyx_v_nElementBoundaries_element, CYTHON_UNUSED PyArrayObject *__pyx_v_elementNeighborsArray, CYTHON_UNUSED PyArrayObject *__pyx_v_elementBarycentersArray, int __pyx_v_nDOF_test_element, int __pyx_v_nDOF_trial_element, PyArrayObject *__pyx_v_q_u, CYTHON_UNUSED PyArrayObject *__pyx_v_q_grad_u, PyArrayObject *__pyx_v_q_grad_w, PyArrayObject *__pyx_v_q_grad_v, PyArrayObject *__pyx_v_q_detJ, PyArrayObject *__pyx_v_q_m, CYTHON_UNUSED PyArrayObject *__pyx_v_q_dm, PyArrayObject *__pyx_v_q_mt, PyArrayObject *__pyx_v_q_dmt, PyArrayObject *__pyx_v_q_r, PyArrayObject *__pyx_v_q_kr, CYTHON_UNUSED PyArrayObject *__pyx_v_q_dkr, PyArrayObject *__pyx_v_q_kr_up, PyArrayObject *__pyx_v_q_flin, PyArrayObject *__pyx_v_q_alin, PyArrayObject *__pyx_v_elementJacobian); /* proto */
static PyObject *__pyx_pf_28subsurfaceTransportFunctions_36updateMass_weakAvg(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_mt, PyArrayObject *__pyx_v_w, PyArrayObject *__pyx_v_dV, PyArrayObject *__pyx_v_weak_residual); /* proto */
static PyObject *__pyx_pf_28subsurfaceTransportFunctions_38updateMassJacobian_weakAvg(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_dmt, PyArrayObject *__pyx_v_w, PyArrayObject *__pyx_v_v, PyArrayObject *__pyx_v_dV, PyArrayObject *__pyx_v_jacobian_weak_residual); /* proto */
static PyObject *__pyx_pf_28subsurfaceTransportFunctions_40calculateNormalFlux(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_v, PyArrayObject *__pyx_v_n, PyArrayObject *__pyx_v_dS, PyArrayObject *__pyx_v_flux); /* proto */
static PyObject *__pyx_pf_28subsurfaceTransportFunctions_42computeSimpleCharacteristicVelocityFromElementVelocity(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_df, PyArrayObject *__pyx_v_characteristic_velocity, PyArrayObject *__pyx_v_dm, PyArrayObject *__pyx_v_dV); /* proto */
static PyObject *__pyx_pf_28subsurfaceTransportFunctions_44computeSimpleCharacteristicVelocityFromVelocityDOFs(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_df_dofs, PyArrayObject *__pyx_v_characteristic_velocity_dofs, PyArrayObject *__pyx_v_l2g, PyArrayObject *__pyx_v_dm, PyArrayObject *__pyx_v_dV); /* proto */
static PyObject *__pyx_pf_28subsurfaceTransportFunctions_46rotatingGaussianElementVelocityEval3(CYTHON_UNUSED PyObject *__pyx_self, int __pyx_v_transient, double __pyx_v_t, double __pyx_v_tForReversal, double __pyx_v_clock, double __pyx_v_xc, double __pyx_v_yc, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_v, double __pyx_v_zvelocity); /* proto */
static PyObject *__pyx_pf_28subsurfaceTransportFunctions_48rotatingGaussianElementVelocityEval4(CYTHON_UNUSED PyObject *__pyx_self, int __pyx_v_transient, double __pyx_v_t, double __pyx_v_tForReversal, double __pyx_v_clock, double __pyx_v_xc, double __pyx_v_yc, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_v, double __pyx_v_zvelocity); /* proto */
static PyObject *__pyx_pf_28subsurfaceTransportFunctions_50helicalElementVelocityEval3(CYTHON_UNUSED PyObject *__pyx_self, int __pyx_v_transient, double __pyx_v_t, double __pyx_v_tForReversal, double __pyx_v_clock, double __pyx_v_zVelocity, double __pyx_v_xc, double __pyx_v_yc, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_v); /* proto */
static PyObject *__pyx_pf_28subsurfaceTransportFunctions_52helicalElementVelocityEval4(CYTHON_UNUSED PyObject *__pyx_self, int __pyx_v_transient, double __pyx_v_t, double __pyx_v_tForReversal, double __pyx_v_clock, double __pyx_v_zVelocity, double __pyx_v_xc, double __pyx_v_yc, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_v); /* proto */
static PyObject *__pyx_pf_28subsurfaceTransportFunctions_54vortexElementVelocityEval3(CYTHON_UNUSED PyObject *__pyx_self, double __pyx_v_t, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_v); /* proto */
static PyObject *__pyx_pf_28subsurfaceTransportFunctions_56vortexElementVelocityEval4(CYTHON_UNUSED PyObject *__pyx_self, double __pyx_v_t, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_v); /* proto */
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#define __pyx_kp_u_Note_that_Cython_is_deliberately __pyx_string_tab[1]
#define __pyx_kp_u_add_note __pyx_string_tab[2]
#define __pyx_kp_u_numpy__core_multiarray_failed_to __pyx_string_tab[3]
#define __pyx_kp_u_numpy__core_umath_failed_to_impo __pyx_string_tab[4]
#define __pyx_kp_u_proteus_subsurfaceTransportFunct __pyx_string_tab[5]
#define __pyx_n_u_DKWr_DpsiC __pyx_string_tab[6]
#define __pyx_n_u_DsBar_DpsiC __pyx_string_tab[7]
#define __pyx_n_u_DthetaW_DpsiC __pyx_string_tab[8]
#define __pyx_n_u_DvBar_DpsiC __pyx_string_tab[9]
#define __pyx_n_u_I __pyx_string_tab[10]
#define __pyx_n_u_J __pyx_string_tab[11]
#define __pyx_n_u_KWr __pyx_string_tab[12]
#define __pyx_n_u_KWs __pyx_string_tab[13]
#define __pyx_n_u_RE_NCP1_evaluateElementCoefficie __pyx_string_tab[14]
#define __pyx_n_u_RE_NCP1_evaluateElementCoefficie_2 __pyx_string_tab[15]
#define __pyx_n_u_RE_NCP1_getElementJacobian __pyx_string_tab[16]
#define __pyx_n_u_RE_NCP1_getElementResidual __pyx_string_tab[17]
#define __pyx_n_u_Pyx_PyDict_NextRef __pyx_string_tab[18]
#define __pyx_n_u_annotate __pyx_string_tab[19]
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#define __pyx_n_u_func __pyx_string_tab[21]
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#define __pyx_n_u_name __pyx_string_tab[24]
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#define __pyx_n_u_a_avg __pyx_string_tab[28]
#define __pyx_n_u_a_eN __pyx_string_tab[29]
#define __pyx_n_u_a_neig __pyx_string_tab[30]
#define __pyx_n_u_a_up __pyx_string_tab[31]
#define __pyx_n_u_alpha __pyx_string_tab[32]
#define __pyx_n_u_asyncio_coroutines __pyx_string_tab[33]
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#define __pyx_n_u_calculateNormalFlux __pyx_string_tab[35]
#define __pyx_n_u_characteristic_velocity __pyx_string_tab[36]
#define __pyx_n_u_characteristic_velocity_dofs __pyx_string_tab[37]
#define __pyx_n_u_cline_in_traceback __pyx_string_tab[38]
#define __pyx_n_u_clock __pyx_string_tab[39]
#define __pyx_n_u_colind __pyx_string_tab[40]
#define __pyx_n_u_computeSimpleCharacteristicVeloc __pyx_string_tab[41]
#define __pyx_n_u_computeSimpleCharacteristicVeloc_2 __pyx_string_tab[42]
#define __pyx_n_u_d __pyx_string_tab[43]
#define __pyx_n_u_dS __pyx_string_tab[44]
#define __pyx_n_u_dV __pyx_string_tab[45]
#define __pyx_n_u_denom __pyx_string_tab[46]
#define __pyx_n_u_df __pyx_string_tab[47]
#define __pyx_n_u_df_dofs __pyx_string_tab[48]
#define __pyx_n_u_dkr_up __pyx_string_tab[49]
#define __pyx_n_u_dm __pyx_string_tab[50]
#define __pyx_n_u_dmt __pyx_string_tab[51]
#define __pyx_n_u_dmtj_avg __pyx_string_tab[52]
#define __pyx_n_u_dot __pyx_string_tab[53]
#define __pyx_n_u_drhom __pyx_string_tab[54]
#define __pyx_n_u_eN __pyx_string_tab[55]
#define __pyx_n_u_eN_left __pyx_string_tab[56]
#define __pyx_n_u_eN_neighbor __pyx_string_tab[57]
#define __pyx_n_u_eN_right __pyx_string_tab[58]
#define __pyx_n_u_ebN __pyx_string_tab[59]
#define __pyx_n_u_ebNE __pyx_string_tab[60]
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#define __pyx_n_u_ebq_global_vals __pyx_string_tab[62]
#define __pyx_n_u_ebq_vals __pyx_string_tab[63]
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#define __pyx_n_u_elementBoundaryMaterialTypes __pyx_string_tab[67]
#define __pyx_n_u_elementBoundaryTypes __pyx_string_tab[68]
#define __pyx_n_u_elementJacobian __pyx_string_tab[69]
#define __pyx_n_u_elementMaterialTypes __pyx_string_tab[70]
#define __pyx_n_u_elementNeighborsArray __pyx_string_tab[71]
#define __pyx_n_u_elementResidual __pyx_string_tab[72]
#define __pyx_n_u_evaluateScalarMaterialFunctionOv_2 __pyx_string_tab[73]
#define __pyx_n_u_evaluateScalarMaterialFunctionOv __pyx_string_tab[74]
#define __pyx_n_u_evaluateScalarMaterialFunctionOv_3 __pyx_string_tab[75]
#define __pyx_n_u_evaluateSparseTensorMaterialFunc __pyx_string_tab[76]
#define __pyx_n_u_evaluateSparseTensorMaterialFunc_2 __pyx_string_tab[77]
#define __pyx_n_u_evaluateVectorMaterialFunctionOv __pyx_string_tab[78]
#define __pyx_n_u_exteriorElementBoundariesArray __pyx_string_tab[79]
#define __pyx_n_u_exteriorElementBoundaryMaterialT __pyx_string_tab[80]
#define __pyx_n_u_f_up __pyx_string_tab[81]
#define __pyx_n_u_flat __pyx_string_tab[82]
#define __pyx_n_u_flux __pyx_string_tab[83]
#define __pyx_n_u_gravity __pyx_string_tab[84]
#define __pyx_n_u_helicalElementVelocityEval3 __pyx_string_tab[85]
#define __pyx_n_u_helicalElementVelocityEval4 __pyx_string_tab[86]
#define __pyx_n_u_i __pyx_string_tab[87]
#define __pyx_n_u_ii __pyx_string_tab[88]
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#define __pyx_n_u_jacobian_weak_residual __pyx_string_tab[92]
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#define __pyx_n_u_kb __pyx_string_tab[94]
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#define __pyx_n_u_nAvgWeight __pyx_string_tab[108]
#define __pyx_n_u_nDOF_test_element __pyx_string_tab[109]
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#define __pyx_n_u_nSpace2 __pyx_string_tab[116]
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#define __pyx_n_u_one8 __pyx_string_tab[122]
#define __pyx_n_u_onePlus_pcBar_n __pyx_string_tab[123]
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#define __pyx_n_u_pcBar_nM2 __pyx_string_tab[127]
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#define __pyx_n_u_q_alin __pyx_string_tab[135]
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#define __pyx_n_u_q_dm __pyx_string_tab[138]
#define __pyx_n_u_q_dmass __pyx_string_tab[139]
#define __pyx_n_u_q_dmt __pyx_string_tab[140]
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#define __pyx_n_u_q_grad_w __pyx_string_tab[144]
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#define __pyx_n_u_q_kr_up __pyx_string_tab[146]
#define __pyx_n_u_q_m __pyx_string_tab[147]
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#define __pyx_n_u_q_mt __pyx_string_tab[149]
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#define __pyx_n_u_rotatingGaussianElementVelocityE __pyx_string_tab[157]
#define __pyx_n_u_rotatingGaussianElementVelocityE_2 __pyx_string_tab[158]
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#define __pyx_n_u_sBar __pyx_string_tab[160]
#define __pyx_n_u_setElementBoundariesArray __pyx_string_tab[161]
#define __pyx_n_u_setExteriorElementBoundaryTypes __pyx_string_tab[162]
#define __pyx_n_u_setScalarMaterialFunctionOverEle_2 __pyx_string_tab[163]
#define __pyx_n_u_setScalarMaterialFunctionOverEle __pyx_string_tab[164]
#define __pyx_n_u_setScalarMaterialFunctionOverGlo __pyx_string_tab[165]
#define __pyx_n_u_setSparseTensorMaterialFunctionO __pyx_string_tab[166]
#define __pyx_n_u_setSparseTensorMaterialFunctionO_2 __pyx_string_tab[167]
#define __pyx_n_u_setVectorMaterialFunctionOverEle __pyx_string_tab[168]
#define __pyx_n_u_setdefault __pyx_string_tab[169]
#define __pyx_n_u_shape __pyx_string_tab[170]
#define __pyx_n_u_sqrt_sBar __pyx_string_tab[171]
#define __pyx_n_u_subsurfaceTransportFunctions __pyx_string_tab[172]
#define __pyx_n_u_sum __pyx_string_tab[173]
#define __pyx_n_u_t __pyx_string_tab[174]
#define __pyx_n_u_tForReversal __pyx_string_tab[175]
#define __pyx_n_u_thetaR __pyx_string_tab[176]
#define __pyx_n_u_thetaS __pyx_string_tab[177]
#define __pyx_n_u_thetaSR __pyx_string_tab[178]
#define __pyx_n_u_thetaW __pyx_string_tab[179]
#define __pyx_n_u_thisElementIsUpwind __pyx_string_tab[180]
#define __pyx_n_u_transient __pyx_string_tab[181]
#define __pyx_n_u_u_dof __pyx_string_tab[182]
#define __pyx_n_u_u_eN __pyx_string_tab[183]
#define __pyx_n_u_u_j __pyx_string_tab[184]
#define __pyx_n_u_u_l2g __pyx_string_tab[185]
#define __pyx_n_u_u_neig __pyx_string_tab[186]
#define __pyx_n_u_updateMassJacobian_weakAvg __pyx_string_tab[187]
#define __pyx_n_u_updateMass_weakAvg __pyx_string_tab[188]
#define __pyx_n_u_upwindFlag __pyx_string_tab[189]
#define __pyx_n_u_v __pyx_string_tab[190]
#define __pyx_n_u_vBar __pyx_string_tab[191]
#define __pyx_n_u_vBar2 __pyx_string_tab[192]
#define __pyx_n_u_values __pyx_string_tab[193]
#define __pyx_n_u_vol __pyx_string_tab[194]
#define __pyx_n_u_volFactor __pyx_string_tab[195]
#define __pyx_n_u_vol_e __pyx_string_tab[196]
#define __pyx_n_u_volume __pyx_string_tab[197]
#define __pyx_n_u_vortexElementVelocityEval3 __pyx_string_tab[198]
#define __pyx_n_u_vortexElementVelocityEval4 __pyx_string_tab[199]
#define __pyx_n_u_w __pyx_string_tab[200]
#define __pyx_n_u_weak_residual __pyx_string_tab[201]
#define __pyx_n_u_weight __pyx_string_tab[202]
#define __pyx_n_u_x __pyx_string_tab[203]
#define __pyx_n_u_xc __pyx_string_tab[204]
#define __pyx_n_u_yc __pyx_string_tab[205]
#define __pyx_n_u_zVelocity __pyx_string_tab[206]
#define __pyx_n_u_zeros __pyx_string_tab[207]
#define __pyx_n_u_zvelocity __pyx_string_tab[208]
#define __pyx_kp_b_iso88591_Qa_vU_1F_1_uAQfAQ_3b_Cq_4q_3as __pyx_string_tab[209]
#define __pyx_kp_b_iso88591_Qa_vU_1F_1_aq_aq_U_q_q_Qc_Rt3ar __pyx_string_tab[210]
#define __pyx_kp_b_iso88591_uAQ_at1_at1_AT_B_1_AT_B_1_9Cq_U __pyx_string_tab[211]
#define __pyx_kp_b_iso88591_Qa_AQ_4q_AX5I __pyx_string_tab[212]
#define __pyx_kp_b_iso88591_vU_1F_1_aq_aq_A_V5_U_1F_1_1AS_C __pyx_string_tab[213]
#define __pyx_kp_b_iso88591_e1F_q_E_avV1A_3g_q __pyx_string_tab[214]
#define __pyx_kp_b_iso88591_avQauAS_1_3a_V5_uAQfAQ_5_QavQa __pyx_string_tab[215]
#define __pyx_kp_b_iso88591_avQc_A_3a_V5_U_1F_1_Bc_ARr_3b_1 __pyx_string_tab[216]
#define __pyx_kp_b_iso88591_e1F_q_E_avV1A_3e_Qa __pyx_string_tab[217]
#define __pyx_kp_b_iso88591_vU_2V1A_q_q_uARvQa_2Qc_1Bas_3a __pyx_string_tab[218]
#define __pyx_kp_b_iso88591_e1AV1A_q_E_aq_aq_3g_q_1Cs_A __pyx_string_tab[219]
#define __pyx_kp_b_iso88591_vU_3fAQ_A_uAS_aq_3a_uAQfAQ_U_q __pyx_string_tab[220]
#define __pyx_kp_b_iso88591_j_1_QavQa_U_q_q_Qc_3c_Baq_2Rq_Q __pyx_string_tab[221]
#define __pyx_kp_b_iso88591_j_1_QavQa_WE_6_U_1F_1_D_S_2Qas __pyx_string_tab[222]
#define __pyx_kp_b_iso88591_e1AV1A_q_E_aq_aq_3e_Qiq_S __pyx_string_tab[223]
#define __pyx_kp_b_iso88591_vU_2V1A_a_uARvQa_Bas_Bas_ARq_1 __pyx_string_tab[224]
#define __pyx_kp_b_iso88591_vU_2V1A_a_uARvQa_Bas_Bas_ARq_1_2 __pyx_string_tab[225]
#define __pyx_kp_b_iso88591_e1HF_1_M_axvQa_A_0_Q_0_Q_U_86_J __pyx_string_tab[226]
#define __pyx_kp_b_iso88591_uA_F_1_AT_AT_E_a_fAQ_1D_S_A_1_A __pyx_string_tab[227]
#define __pyx_kp_b_iso88591_e1AV1A_M_aq_aq_A_0_Q_0_Q_U_1F_1 __pyx_string_tab[228]
#define __pyx_kp_b_iso88591_e1HF_1_M_axvQa_A_0_Q_0_Q_U_86_E __pyx_string_tab[229]
#define __pyx_kp_b_iso88591_uAQfAQ_AT_AT_E_aq_aq_1D_S_A_1AQ __pyx_string_tab[230]
#define __pyx_kp_b_iso88591_uA_F_1_AT_AT_E_a_fAQ_U_1_E_aq_C __pyx_string_tab[231]
#define __pyx_kp_b_iso88591_e1AV1A_M_aq_aq_A_0_Q_0_Q_U_1F_1_2 __pyx_string_tab[232]
#define __pyx_kp_b_iso88591_uAQfAQ_AT_AT_E_aq_aq_U_1_E_aq_C __pyx_string_tab[233]
#define __pyx_kp_b_iso88591_6_vQa_6_0_V1D_0_V1D_0_V1D_e1A_A __pyx_string_tab[234]
#define __pyx_kp_b_iso88591_P_Qd_U_q_as_V1A_c_3aq_S_e1A_AQ __pyx_string_tab[235]
#define __pyx_kp_b_iso88591_R_Qd_e4q_q_as_V1A_S_aq_6_U_Q_U __pyx_string_tab[236]
#define __pyx_kp_b_iso88591_a_Qd_e4q_q_as_V1A_S_aq_6_U_Q_U __pyx_string_tab[237]
#define __pyx_float_0_0 __pyx_number_tab[0]
#define __pyx_float_0_5 __pyx_number_tab[1]
#define __pyx_float_2_0 __pyx_number_tab[2]
#define __pyx_float_1_0eneg_20 __pyx_number_tab[3]
/* #### Code section: module_state_clear ### */
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static CYTHON_SMALL_CODE int __pyx_m_clear(PyObject *m) {
  __pyx_mstatetype *clear_module_state = __Pyx_PyModule_GetState(m);
  if (!clear_module_state) return 0;
  Py_CLEAR(clear_module_state->__pyx_d);
  Py_CLEAR(clear_module_state->__pyx_b);
  Py_CLEAR(clear_module_state->__pyx_cython_runtime);
  Py_CLEAR(clear_module_state->__pyx_empty_tuple);
  Py_CLEAR(clear_module_state->__pyx_empty_bytes);
  Py_CLEAR(clear_module_state->__pyx_empty_unicode);
  #if CYTHON_PEP489_MULTI_PHASE_INIT
  __Pyx_State_RemoveModule(NULL);
  #endif
  Py_CLEAR(clear_module_state->__pyx_ptype_7cpython_4type_type);
  Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_dtype);
  Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_flatiter);
  Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_broadcast);
  Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_ndarray);
  Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_generic);
  Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_number);
  Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_integer);
  Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_signedinteger);
  Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_unsignedinteger);
  Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_inexact);
  Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_floating);
  Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_complexfloating);
  Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_flexible);
  Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_character);
  Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_ufunc);
  Py_CLEAR(clear_module_state->__pyx_umethod_PyDict_Type_items.method);
  Py_CLEAR(clear_module_state->__pyx_umethod_PyDict_Type_pop.method);
  Py_CLEAR(clear_module_state->__pyx_umethod_PyDict_Type_values.method);
  for (int i=0; i<1; ++i) { Py_CLEAR(clear_module_state->__pyx_slice[i]); }
  for (int i=0; i<29; ++i) { Py_CLEAR(clear_module_state->__pyx_codeobj_tab[i]); }
  for (int i=0; i<238; ++i) { Py_CLEAR(clear_module_state->__pyx_string_tab[i]); }
  for (int i=0; i<4; ++i) { Py_CLEAR(clear_module_state->__pyx_number_tab[i]); }
/* #### Code section: module_state_clear_contents ### */
/* CommonTypesMetaclass.module_state_clear */
Py_CLEAR(clear_module_state->__pyx_CommonTypesMetaclassType);
 
/* CythonFunctionPerModule.module_state_clear */
Py_CLEAR(clear_module_state->__pyx_CyFunctionType);
 
/* #### Code section: module_state_clear_end ### */
return 0;
}
#endif
/* #### Code section: module_state_traverse ### */
#if CYTHON_USE_MODULE_STATE
static CYTHON_SMALL_CODE int __pyx_m_traverse(PyObject *m, visitproc visit, void *arg) {
  __pyx_mstatetype *traverse_module_state = __Pyx_PyModule_GetState(m);
  if (!traverse_module_state) return 0;
  Py_VISIT(traverse_module_state->__pyx_d);
  Py_VISIT(traverse_module_state->__pyx_b);
  Py_VISIT(traverse_module_state->__pyx_cython_runtime);
  __Pyx_VISIT_CONST(traverse_module_state->__pyx_empty_tuple);
  __Pyx_VISIT_CONST(traverse_module_state->__pyx_empty_bytes);
  __Pyx_VISIT_CONST(traverse_module_state->__pyx_empty_unicode);
  Py_VISIT(traverse_module_state->__pyx_ptype_7cpython_4type_type);
  Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_dtype);
  Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_flatiter);
  Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_broadcast);
  Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_ndarray);
  Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_generic);
  Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_number);
  Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_integer);
  Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_signedinteger);
  Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_unsignedinteger);
  Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_inexact);
  Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_floating);
  Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_complexfloating);
  Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_flexible);
  Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_character);
  Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_ufunc);
  Py_VISIT(traverse_module_state->__pyx_umethod_PyDict_Type_items.method);
  Py_VISIT(traverse_module_state->__pyx_umethod_PyDict_Type_pop.method);
  Py_VISIT(traverse_module_state->__pyx_umethod_PyDict_Type_values.method);
  for (int i=0; i<1; ++i) { __Pyx_VISIT_CONST(traverse_module_state->__pyx_slice[i]); }
  for (int i=0; i<29; ++i) { __Pyx_VISIT_CONST(traverse_module_state->__pyx_codeobj_tab[i]); }
  for (int i=0; i<238; ++i) { __Pyx_VISIT_CONST(traverse_module_state->__pyx_string_tab[i]); }
  for (int i=0; i<4; ++i) { __Pyx_VISIT_CONST(traverse_module_state->__pyx_number_tab[i]); }
/* #### Code section: module_state_traverse_contents ### */
/* CommonTypesMetaclass.module_state_traverse */
Py_VISIT(traverse_module_state->__pyx_CommonTypesMetaclassType);
 
/* CythonFunctionPerModule.module_state_traverse */
Py_VISIT(traverse_module_state->__pyx_CyFunctionType);
 
/* #### Code section: module_state_traverse_end ### */
return 0;
}
#endif
/* #### Code section: module_code ### */
 
/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":230
 * 
 *     ctypedef class numpy.dtype [object PyArray_Descr, check_size ignore]:
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline PyTypeObject* typeobj(self) noexcept nogil:
 *             return PyDataType_TYPEOBJ(self)
*/
 
static CYTHON_INLINE PyTypeObject *__pyx_f_5numpy_5dtype_7typeobj___get__(PyArray_Descr *__pyx_v_self) {
  PyTypeObject *__pyx_r;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":232
 *         @property
 *         cdef inline PyTypeObject* typeobj(self) noexcept nogil:
 *             return PyDataType_TYPEOBJ(self)             # <<<<<<<<<<<<<<
 * 
 *         @property
*/
  {
 
    __pyx_r = PyDataType_TYPEOBJ(__pyx_v_self);
  }
  goto __pyx_L0;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":230
 * 
 *     ctypedef class numpy.dtype [object PyArray_Descr, check_size ignore]:
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline PyTypeObject* typeobj(self) noexcept nogil:
 *             return PyDataType_TYPEOBJ(self)
*/
 
  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}
 
/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":234
 *             return PyDataType_TYPEOBJ(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline char kind(self) noexcept nogil:
 *             return PyDataType_KIND(self)
*/
 
static CYTHON_INLINE char __pyx_f_5numpy_5dtype_4kind___get__(PyArray_Descr *__pyx_v_self) {
  char __pyx_r;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":236
 *         @property
 *         cdef inline char kind(self) noexcept nogil:
 *             return PyDataType_KIND(self)             # <<<<<<<<<<<<<<
 * 
 *         @property
*/
  {
 
    __pyx_r = PyDataType_KIND(__pyx_v_self);
  }
  goto __pyx_L0;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":234
 *             return PyDataType_TYPEOBJ(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline char kind(self) noexcept nogil:
 *             return PyDataType_KIND(self)
*/
 
  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}
 
/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":238
 *             return PyDataType_KIND(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline char type(self) noexcept nogil:
 *             return PyDataType_TYPE(self)
*/
 
static CYTHON_INLINE char __pyx_f_5numpy_5dtype_4type___get__(PyArray_Descr *__pyx_v_self) {
  char __pyx_r;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":240
 *         @property
 *         cdef inline char type(self) noexcept nogil:
 *             return PyDataType_TYPE(self)             # <<<<<<<<<<<<<<
 * 
 *         # Numpy sometimes mutates this without warning (e.g. it'll
*/
  {
 
    __pyx_r = PyDataType_TYPE(__pyx_v_self);
  }
  goto __pyx_L0;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":238
 *             return PyDataType_KIND(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline char type(self) noexcept nogil:
 *             return PyDataType_TYPE(self)
*/
 
  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}
 
/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":247
 *         # PyArray_IsNativeByteOrder(dtype.byteorder) instead of
 *         # directly accessing this field.
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline char byteorder(self) noexcept nogil:
 *             return PyDataType_BYTEORDER(self)
*/
 
static CYTHON_INLINE char __pyx_f_5numpy_5dtype_9byteorder___get__(PyArray_Descr *__pyx_v_self) {
  char __pyx_r;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":249
 *         @property
 *         cdef inline char byteorder(self) noexcept nogil:
 *             return PyDataType_BYTEORDER(self)             # <<<<<<<<<<<<<<
 * 
 *         @property
*/
  {
 
    __pyx_r = PyDataType_BYTEORDER(__pyx_v_self);
  }
  goto __pyx_L0;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":247
 *         # PyArray_IsNativeByteOrder(dtype.byteorder) instead of
 *         # directly accessing this field.
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline char byteorder(self) noexcept nogil:
 *             return PyDataType_BYTEORDER(self)
*/
 
  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}
 
/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":251
 *             return PyDataType_BYTEORDER(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline int type_num(self) noexcept nogil:
 *             return PyDataType_TYPENUM(self)
*/
 
static CYTHON_INLINE int __pyx_f_5numpy_5dtype_8type_num___get__(PyArray_Descr *__pyx_v_self) {
  int __pyx_r;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":253
 *         @property
 *         cdef inline int type_num(self) noexcept nogil:
 *             return PyDataType_TYPENUM(self)             # <<<<<<<<<<<<<<
 * 
 *         @property
*/
  {
 
    __pyx_r = PyDataType_TYPENUM(__pyx_v_self);
  }
  goto __pyx_L0;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":251
 *             return PyDataType_BYTEORDER(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline int type_num(self) noexcept nogil:
 *             return PyDataType_TYPENUM(self)
*/
 
  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}
 
/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":255
 *             return PyDataType_TYPENUM(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline npy_intp itemsize(self) noexcept nogil:
 *             return PyDataType_ELSIZE(self)
*/
 
static CYTHON_INLINE npy_intp __pyx_f_5numpy_5dtype_8itemsize___get__(PyArray_Descr *__pyx_v_self) {
  npy_intp __pyx_r;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":257
 *         @property
 *         cdef inline npy_intp itemsize(self) noexcept nogil:
 *             return PyDataType_ELSIZE(self)             # <<<<<<<<<<<<<<
 * 
 *         @property
*/
  {
 
    __pyx_r = PyDataType_ELSIZE(__pyx_v_self);
  }
  goto __pyx_L0;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":255
 *             return PyDataType_TYPENUM(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline npy_intp itemsize(self) noexcept nogil:
 *             return PyDataType_ELSIZE(self)
*/
 
  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}
 
/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":259
 *             return PyDataType_ELSIZE(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline npy_intp alignment(self) noexcept nogil:
 *             return PyDataType_ALIGNMENT(self)
*/
 
static CYTHON_INLINE npy_intp __pyx_f_5numpy_5dtype_9alignment___get__(PyArray_Descr *__pyx_v_self) {
  npy_intp __pyx_r;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":261
 *         @property
 *         cdef inline npy_intp alignment(self) noexcept nogil:
 *             return PyDataType_ALIGNMENT(self)             # <<<<<<<<<<<<<<
 * 
 *         # Use fields/names with care as they may be NULL.  You must check
*/
  {
 
    __pyx_r = PyDataType_ALIGNMENT(__pyx_v_self);
  }
  goto __pyx_L0;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":259
 *             return PyDataType_ELSIZE(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline npy_intp alignment(self) noexcept nogil:
 *             return PyDataType_ALIGNMENT(self)
*/
 
  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}
 
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static CYTHON_INLINE PyObject *__pyx_f_5numpy_5dtype_6fields___get__(PyArray_Descr *__pyx_v_self) {
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 *         # Use fields/names with care as they may be NULL.  You must check
 *         # for this using PyDataType_HASFIELDS.
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline object fields(self):
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/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":269
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 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline tuple names(self):
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static CYTHON_INLINE PyObject *__pyx_f_5numpy_5dtype_5names___get__(PyArray_Descr *__pyx_v_self) {
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 *         cdef inline tuple names(self):
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 * 
 *         # Use PyDataType_HASSUBARRAY to test whether this field is
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 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline tuple names(self):
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/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":276
 *         # valid (the pointer can be NULL). Most users should access
 *         # this field via the inline helper method PyDataType_SHAPE.
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline PyArray_ArrayDescr* subarray(self) noexcept nogil:
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static CYTHON_INLINE PyArray_ArrayDescr *__pyx_f_5numpy_5dtype_8subarray___get__(PyArray_Descr *__pyx_v_self) {
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  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":278
 *         @property
 *         cdef inline PyArray_ArrayDescr* subarray(self) noexcept nogil:
 *             return PyDataType_SUBARRAY(self)             # <<<<<<<<<<<<<<
 * 
 *         @property
*/
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    __pyx_r = PyDataType_SUBARRAY(__pyx_v_self);
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  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":276
 *         # 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)
*/
 
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/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":280
 *             return PyDataType_SUBARRAY(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
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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);
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  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:;
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/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":292
 *     ctypedef class numpy.broadcast [object PyArrayMultiIterObject, check_size ignore]:
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline int numiter(self) noexcept nogil:
 *             """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);
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  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:;
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}
 
/* "../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:
 *             """The shape of the broadcasted result."""
*/
 
static CYTHON_INLINE npy_intp *__pyx_f_5numpy_9broadcast_10dimensions___get__(PyArrayMultiIterObject *__pyx_v_self) {
  npy_intp *__pyx_r;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":315
 *         cdef inline npy_intp* dimensions(self) noexcept nogil:
 *             """The shape of the broadcasted result."""
 *             return PyArray_MultiIter_DIMS(self)             # <<<<<<<<<<<<<<
 * 
 *         @property
*/
  {
 
    __pyx_r = PyArray_MultiIter_DIMS(__pyx_v_self);
  }
  goto __pyx_L0;
 
  /* "../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:
 *             """The shape of the broadcasted result."""
*/
 
  /* function exit code */
  __pyx_L0:;
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}
 
/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":317
 *             return PyArray_MultiIter_DIMS(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline void** iters(self) noexcept nogil:
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*/
 
static CYTHON_INLINE void **__pyx_f_5numpy_9broadcast_5iters___get__(PyArrayMultiIterObject *__pyx_v_self) {
  void **__pyx_r;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":321
 *             """An array of iterator objects that holds the iterators for the arrays to be broadcast together.
 *             On return, the iterators are adjusted for broadcasting."""
 *             return PyArray_MultiIter_ITERS(self)             # <<<<<<<<<<<<<<
 * 
 * 
*/
  {
 
    __pyx_r = PyArray_MultiIter_ITERS(__pyx_v_self);
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  goto __pyx_L0;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":317
 *             return PyArray_MultiIter_DIMS(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline void** iters(self) noexcept nogil:
 *             """An array of iterator objects that holds the iterators for the arrays to be broadcast together.
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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":335
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 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline PyObject* base(self) noexcept nogil:
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static CYTHON_INLINE PyObject *__pyx_f_5numpy_7ndarray_4base___get__(PyArrayObject *__pyx_v_self) {
  PyObject *__pyx_r;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":339
 *             """Returns a borrowed reference to the object owning the data/memory.
 *             """
 *             return PyArray_BASE(self)             # <<<<<<<<<<<<<<
 * 
 *         @property
*/
  {
 
    __pyx_r = PyArray_BASE(__pyx_v_self);
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  goto __pyx_L0;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":335
 *         # Instead, we use properties that map to the corresponding C-API functions.
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline PyObject* base(self) noexcept nogil:
 *             """Returns a borrowed reference to the object owning the data/memory.
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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":341
 *             return PyArray_BASE(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline dtype descr(self):
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static CYTHON_INLINE PyArray_Descr *__pyx_f_5numpy_7ndarray_5descr___get__(PyArrayObject *__pyx_v_self) {
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  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":345
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 *             """
 *             return <dtype>PyArray_DESCR(self)             # <<<<<<<<<<<<<<
 * 
 *         @property
*/
  __pyx_t_1 = PyArray_DESCR(__pyx_v_self);
 
  {
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  goto __pyx_L0;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":341
 *             return PyArray_BASE(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline dtype descr(self):
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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":347
 *             return <dtype>PyArray_DESCR(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline int ndim(self) noexcept nogil:
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static CYTHON_INLINE int __pyx_f_5numpy_7ndarray_4ndim___get__(PyArrayObject *__pyx_v_self) {
  int __pyx_r;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":351
 *             """Returns the number of dimensions in the array.
 *             """
 *             return PyArray_NDIM(self)             # <<<<<<<<<<<<<<
 * 
 *         @property
*/
  {
 
    __pyx_r = PyArray_NDIM(__pyx_v_self);
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  goto __pyx_L0;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":347
 *             return <dtype>PyArray_DESCR(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline int ndim(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":353
 *             return PyArray_NDIM(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline npy_intp *shape(self) noexcept nogil:
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*/
 
static CYTHON_INLINE npy_intp *__pyx_f_5numpy_7ndarray_5shape___get__(PyArrayObject *__pyx_v_self) {
  npy_intp *__pyx_r;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":359
 *             Can return NULL for 0-dimensional arrays.
 *             """
 *             return PyArray_DIMS(self)             # <<<<<<<<<<<<<<
 * 
 *         @property
*/
  {
 
    __pyx_r = PyArray_DIMS(__pyx_v_self);
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  goto __pyx_L0;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":353
 *             return PyArray_NDIM(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline npy_intp *shape(self) noexcept nogil:
 *             """Returns a pointer to the dimensions/shape of the array.
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  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}
 
/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":361
 *             return PyArray_DIMS(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline npy_intp *strides(self) noexcept nogil:
 *             """Returns a pointer to the strides of the array.
*/
 
static CYTHON_INLINE npy_intp *__pyx_f_5numpy_7ndarray_7strides___get__(PyArrayObject *__pyx_v_self) {
  npy_intp *__pyx_r;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":366
 *             The number of elements matches the number of dimensions of the array (ndim).
 *             """
 *             return PyArray_STRIDES(self)             # <<<<<<<<<<<<<<
 * 
 *         @property
*/
  {
 
    __pyx_r = PyArray_STRIDES(__pyx_v_self);
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  goto __pyx_L0;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":361
 *             return PyArray_DIMS(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline npy_intp *strides(self) noexcept nogil:
 *             """Returns a pointer to the strides of the array.
*/
 
  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}
 
/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":368
 *             return PyArray_STRIDES(self)
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline npy_intp size(self) noexcept nogil:
 *             """Returns the total size (in number of elements) of the array.
*/
 
static CYTHON_INLINE npy_intp __pyx_f_5numpy_7ndarray_4size___get__(PyArrayObject *__pyx_v_self) {
  npy_intp __pyx_r;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":372
 *             """Returns the total size (in number of elements) of the array.
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/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":959
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*/
 
static CYTHON_INLINE PyUFuncGenericFunction *__pyx_f_5numpy_5ufunc_9functions___get__(PyUFuncObject *__pyx_v_self) {
  PyUFuncGenericFunction *__pyx_r;
 
  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":961
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 * 
 *         @property
*/
  {
 
    __pyx_r = _PyUFuncObject_GET_ITEM_DATA(__pyx_v_self)->functions;
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  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":959
 *             return _PyUFuncObject_GET_ITEM_DATA(self).nargs
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline PyUFuncGenericFunction* functions(self) noexcept nogil:
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*/
 
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}
 
/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":963
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 *         @property             # <<<<<<<<<<<<<<
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static CYTHON_INLINE void **__pyx_f_5numpy_5ufunc_4data___get__(PyUFuncObject *__pyx_v_self) {
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  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":965
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 * 
 *         @property
*/
  {
 
    __pyx_r = ((void **)_PyUFuncObject_GET_ITEM_DATA(__pyx_v_self)->data);
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  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":963
 *             return _PyUFuncObject_GET_ITEM_DATA(self).functions
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline void ** data(self) noexcept nogil:
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*/
 
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/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":967
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 *         @property             # <<<<<<<<<<<<<<
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static CYTHON_INLINE int __pyx_f_5numpy_5ufunc_6ntypes___get__(PyUFuncObject *__pyx_v_self) {
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  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":969
 *         @property
 *         cdef inline int ntypes(self) noexcept nogil:
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 * 
 *         @property
*/
  {
 
    __pyx_r = _PyUFuncObject_GET_ITEM_DATA(__pyx_v_self)->ntypes;
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  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":967
 *             return <void **>_PyUFuncObject_GET_ITEM_DATA(self).data
 * 
 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline int ntypes(self) noexcept nogil:
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*/
 
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/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":971
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 *         @property             # <<<<<<<<<<<<<<
 *         cdef inline const char* name(self) noexcept nogil:
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static CYTHON_INLINE char const *__pyx_f_5numpy_5ufunc_4name___get__(PyUFuncObject *__pyx_v_self) {
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  /* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":973
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 *             return _PyUFuncObject_GET_ITEM_DATA(self).name             # <<<<<<<<<<<<<<
 * 
 *         @property
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    __pyx_r = _PyUFuncObject_GET_ITEM_DATA(__pyx_v_self)->name;
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 *         @property             # <<<<<<<<<<<<<<
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/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":975
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/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":979
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/* "../miniforge3/envs/proteus-jupyterhub/lib/python3.14/site-packages/numpy/__init__.cython-30.pxd":983
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 * cdef inline void set_array_base(ndarray arr, object base) except *:             # <<<<<<<<<<<<<<
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/* "subsurfaceTransportFunctions.pyx":92
 *                                                 material_functions[material_right])
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/* "subsurfaceTransportFunctions.pyx":119
 *                         ebq_vals[eN,ebN_local,k,I*nd+J] = numer/denom
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/* "subsurfaceTransportFunctions.pyx":140
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/* "subsurfaceTransportFunctions.pyx":272
 * 
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  /* "subsurfaceTransportFunctions.pyx":302
 * 
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 *                                                numpy.ndarray[ITYPE_t,ndim=1] rowptr,
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/* "subsurfaceTransportFunctions.pyx":360
 * 
 * 
 * def RE_NCP1_evaluateElementCoefficients_VGM(double rho,             # <<<<<<<<<<<<<<
 *                                             double beta,
 *                                             numpy.ndarray[DTYPE_t,ndim=1] gravity,#physical quantities
*/
 
/* Python wrapper */
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PyDoc_STRVAR(__pyx_doc_28subsurfaceTransportFunctions_30RE_NCP1_evaluateElementCoefficients_VGM, "\n    routine for evaluating nodal coefficients in NCP1 approximation for conservative head formulation of Richards equation \n\n    Approximation:\n         uses  nodal quadrature where the nodes are face barycenters\n         uses harmonic average for intrinsic permeability/ hydraulic conductivity\n         assumes slight compressiblity for now\n\n    TODO:\n         everything\n         \n    ");
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      /* "subsurfaceTransportFunctions.pyx":423
 *             m = 1.0 - 1.0/n[matID]
 *             thetaS = thetaR[matID] + thetaSR[matID]
 *             if psiC > 0.0:             # <<<<<<<<<<<<<<
 *                 pcBar = alpha[matID]*psiC
 *                 pcBar_nM2 = pow(pcBar,n[matID]-2)
*/
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      if (__pyx_t_5) {
 
 
        /* "subsurfaceTransportFunctions.pyx":424
 *             thetaS = thetaR[matID] + thetaSR[matID]
 *             if psiC > 0.0:
 *                 pcBar = alpha[matID]*psiC             # <<<<<<<<<<<<<<
 *                 pcBar_nM2 = pow(pcBar,n[matID]-2)
 *                 pcBar_nM1 = pcBar_nM2*pcBar
*/
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        /* "subsurfaceTransportFunctions.pyx":425
 *             if psiC > 0.0:
 *                 pcBar = alpha[matID]*psiC
 *                 pcBar_nM2 = pow(pcBar,n[matID]-2)             # <<<<<<<<<<<<<<
 *                 pcBar_nM1 = pcBar_nM2*pcBar
 *                 pcBar_n   = pcBar_nM1*pcBar
*/
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        __pyx_t_15 = -1;
        if (__pyx_t_14 < 0) {
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          if (unlikely(__pyx_t_14 < 0)) __pyx_t_15 = 0;
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        }
        __pyx_v_pcBar_nM2 = pow(__pyx_v_pcBar, ((*__Pyx_BufPtrStrided1d(__pyx_t_28subsurfaceTransportFunctions_DTYPE_t *, __pyx_pybuffernd_n.rcbuffer->pybuffer.buf, __pyx_t_14, __pyx_pybuffernd_n.diminfo[0].strides)) - 2.0));
 
        /* "subsurfaceTransportFunctions.pyx":426
 *                 pcBar = alpha[matID]*psiC
 *                 pcBar_nM2 = pow(pcBar,n[matID]-2)
 *                 pcBar_nM1 = pcBar_nM2*pcBar             # <<<<<<<<<<<<<<
 *                 pcBar_n   = pcBar_nM1*pcBar
 *                 onePlus_pcBar_n = 1.0 + pcBar_n
*/
        __pyx_v_pcBar_nM1 = (__pyx_v_pcBar_nM2 * __pyx_v_pcBar);
 
        /* "subsurfaceTransportFunctions.pyx":427
 *                 pcBar_nM2 = pow(pcBar,n[matID]-2)
 *                 pcBar_nM1 = pcBar_nM2*pcBar
 *                 pcBar_n   = pcBar_nM1*pcBar             # <<<<<<<<<<<<<<
 *                 onePlus_pcBar_n = 1.0 + pcBar_n
 * 
*/
        __pyx_v_pcBar_n = (__pyx_v_pcBar_nM1 * __pyx_v_pcBar);
 
        /* "subsurfaceTransportFunctions.pyx":428
 *                 pcBar_nM1 = pcBar_nM2*pcBar
 *                 pcBar_n   = pcBar_nM1*pcBar
 *                 onePlus_pcBar_n = 1.0 + pcBar_n             # <<<<<<<<<<<<<<
 * 
 *                 sBar = pow(onePlus_pcBar_n,-m)
*/
        __pyx_v_onePlus_pcBar_n = (1.0 + __pyx_v_pcBar_n);
 
        /* "subsurfaceTransportFunctions.pyx":430
 *                 onePlus_pcBar_n = 1.0 + pcBar_n
 * 
 *                 sBar = pow(onePlus_pcBar_n,-m)             # <<<<<<<<<<<<<<
 *              # using -mn = 1-n
 *                 DsBar_DpsiC = alpha[matID]*(1.0-n[matID])*(sBar/onePlus_pcBar_n)*pcBar_nM1
*/
        __pyx_v_sBar = pow(__pyx_v_onePlus_pcBar_n, (-__pyx_v_m));
 
        /* "subsurfaceTransportFunctions.pyx":432
 *                 sBar = pow(onePlus_pcBar_n,-m)
 *              # using -mn = 1-n
 *                 DsBar_DpsiC = alpha[matID]*(1.0-n[matID])*(sBar/onePlus_pcBar_n)*pcBar_nM1             # <<<<<<<<<<<<<<
 * 
 *                 vBar = 1.0-pcBar_nM1*sBar
*/
        __pyx_t_14 = __pyx_v_matID;
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        __pyx_t_10 = __pyx_v_matID;
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          __pyx_t_10 += __pyx_pybuffernd_n.diminfo[0].shape;
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          PyErr_SetString(PyExc_ZeroDivisionError, "float division");
          __PYX_ERR(0, 432, __pyx_L1_error)
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        __pyx_v_DsBar_DpsiC = ((((*__Pyx_BufPtrStrided1d(__pyx_t_28subsurfaceTransportFunctions_DTYPE_t *, __pyx_pybuffernd_alpha.rcbuffer->pybuffer.buf, __pyx_t_14, __pyx_pybuffernd_alpha.diminfo[0].strides)) * (1.0 - (*__Pyx_BufPtrStrided1d(__pyx_t_28subsurfaceTransportFunctions_DTYPE_t *, __pyx_pybuffernd_n.rcbuffer->pybuffer.buf, __pyx_t_10, __pyx_pybuffernd_n.diminfo[0].strides)))) * (__pyx_v_sBar / __pyx_v_onePlus_pcBar_n)) * __pyx_v_pcBar_nM1);
 
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 *                 DsBar_DpsiC = alpha[matID]*(1.0-n[matID])*(sBar/onePlus_pcBar_n)*pcBar_nM1
 * 
 *                 vBar = 1.0-pcBar_nM1*sBar             # <<<<<<<<<<<<<<
 *                 vBar2 = vBar*vBar
 *                 DvBar_DpsiC = -alpha[matID]*(n[matID]-1.0)*pcBar_nM2*sBar - pcBar_nM1*DsBar_DpsiC
*/
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        /* "subsurfaceTransportFunctions.pyx":435
 * 
 *                 vBar = 1.0-pcBar_nM1*sBar
 *                 vBar2 = vBar*vBar             # <<<<<<<<<<<<<<
 *                 DvBar_DpsiC = -alpha[matID]*(n[matID]-1.0)*pcBar_nM2*sBar - pcBar_nM1*DsBar_DpsiC
 * 
*/
        __pyx_v_vBar2 = (__pyx_v_vBar * __pyx_v_vBar);
 
        /* "subsurfaceTransportFunctions.pyx":436
 *                 vBar = 1.0-pcBar_nM1*sBar
 *                 vBar2 = vBar*vBar
 *                 DvBar_DpsiC = -alpha[matID]*(n[matID]-1.0)*pcBar_nM2*sBar - pcBar_nM1*DsBar_DpsiC             # <<<<<<<<<<<<<<
 * 
 *                 thetaW = thetaSR[matID]*sBar + thetaR[matID]
*/
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        } else if (unlikely(__pyx_t_10 >= __pyx_pybuffernd_alpha.diminfo[0].shape)) __pyx_t_15 = 0;
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          __PYX_ERR(0, 436, __pyx_L1_error)
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        __pyx_t_14 = __pyx_v_matID;
        __pyx_t_15 = -1;
        if (__pyx_t_14 < 0) {
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          if (unlikely(__pyx_t_14 < 0)) __pyx_t_15 = 0;
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        if (unlikely(__pyx_t_15 != -1)) {
          __Pyx_RaiseBufferIndexError(__pyx_t_15);
          __PYX_ERR(0, 436, __pyx_L1_error)
        }
        __pyx_v_DvBar_DpsiC = (((((-(*__Pyx_BufPtrStrided1d(__pyx_t_28subsurfaceTransportFunctions_DTYPE_t *, __pyx_pybuffernd_alpha.rcbuffer->pybuffer.buf, __pyx_t_10, __pyx_pybuffernd_alpha.diminfo[0].strides))) * ((*__Pyx_BufPtrStrided1d(__pyx_t_28subsurfaceTransportFunctions_DTYPE_t *, __pyx_pybuffernd_n.rcbuffer->pybuffer.buf, __pyx_t_14, __pyx_pybuffernd_n.diminfo[0].strides)) - 1.0)) * __pyx_v_pcBar_nM2) * __pyx_v_sBar) - (__pyx_v_pcBar_nM1 * __pyx_v_DsBar_DpsiC));
 
        /* "subsurfaceTransportFunctions.pyx":438
 *                 DvBar_DpsiC = -alpha[matID]*(n[matID]-1.0)*pcBar_nM2*sBar - pcBar_nM1*DsBar_DpsiC
 * 
 *                 thetaW = thetaSR[matID]*sBar + thetaR[matID]             # <<<<<<<<<<<<<<
 *                 DthetaW_DpsiC = thetaSR[matID] * DsBar_DpsiC
 * 
*/
        __pyx_t_14 = __pyx_v_matID;
        __pyx_t_15 = -1;
        if (__pyx_t_14 < 0) {
          __pyx_t_14 += __pyx_pybuffernd_thetaSR.diminfo[0].shape;
          if (unlikely(__pyx_t_14 < 0)) __pyx_t_15 = 0;
        } else if (unlikely(__pyx_t_14 >= __pyx_pybuffernd_thetaSR.diminfo[0].shape)) __pyx_t_15 = 0;
        if (unlikely(__pyx_t_15 != -1)) {
          __Pyx_RaiseBufferIndexError(__pyx_t_15);
          __PYX_ERR(0, 438, __pyx_L1_error)
        }
        __pyx_t_10 = __pyx_v_matID;
        __pyx_t_15 = -1;
        if (__pyx_t_10 < 0) {
          __pyx_t_10 += __pyx_pybuffernd_thetaR.diminfo[0].shape;
          if (unlikely(__pyx_t_10 < 0)) __pyx_t_15 = 0;
        } else if (unlikely(__pyx_t_10 >= __pyx_pybuffernd_thetaR.diminfo[0].shape)) __pyx_t_15 = 0;
        if (unlikely(__pyx_t_15 != -1)) {
          __Pyx_RaiseBufferIndexError(__pyx_t_15);
          __PYX_ERR(0, 438, __pyx_L1_error)
        }
        __pyx_v_thetaW = (((*__Pyx_BufPtrStrided1d(__pyx_t_28subsurfaceTransportFunctions_DTYPE_t *, __pyx_pybuffernd_thetaSR.rcbuffer->pybuffer.buf, __pyx_t_14, __pyx_pybuffernd_thetaSR.diminfo[0].strides)) * __pyx_v_sBar) + (*__Pyx_BufPtrStrided1d(__pyx_t_28subsurfaceTransportFunctions_DTYPE_t *, __pyx_pybuffernd_thetaR.rcbuffer->pybuffer.buf, __pyx_t_10, __pyx_pybuffernd_thetaR.diminfo[0].strides)));
 
        /* "subsurfaceTransportFunctions.pyx":439
 * 
 *                 thetaW = thetaSR[matID]*sBar + thetaR[matID]
 *                 DthetaW_DpsiC = thetaSR[matID] * DsBar_DpsiC             # <<<<<<<<<<<<<<
 * 
 *                 sqrt_sBar = sqrt(sBar)
*/
        __pyx_t_10 = __pyx_v_matID;
        __pyx_t_15 = -1;
        if (__pyx_t_10 < 0) {
          __pyx_t_10 += __pyx_pybuffernd_thetaSR.diminfo[0].shape;
          if (unlikely(__pyx_t_10 < 0)) __pyx_t_15 = 0;
        } else if (unlikely(__pyx_t_10 >= __pyx_pybuffernd_thetaSR.diminfo[0].shape)) __pyx_t_15 = 0;
        if (unlikely(__pyx_t_15 != -1)) {
          __Pyx_RaiseBufferIndexError(__pyx_t_15);
          __PYX_ERR(0, 439, __pyx_L1_error)
        }
        __pyx_v_DthetaW_DpsiC = ((*__Pyx_BufPtrStrided1d(__pyx_t_28subsurfaceTransportFunctions_DTYPE_t *, __pyx_pybuffernd_thetaSR.rcbuffer->pybuffer.buf, __pyx_t_10, __pyx_pybuffernd_thetaSR.diminfo[0].strides)) * __pyx_v_DsBar_DpsiC);
 
        /* "subsurfaceTransportFunctions.pyx":441
 *                 DthetaW_DpsiC = thetaSR[matID] * DsBar_DpsiC
 * 
 *                 sqrt_sBar = sqrt(sBar)             # <<<<<<<<<<<<<<
 *                 KWr= sqrt_sBar*vBar2
 *                 DKWr_DpsiC= ((0.5/sqrt_sBar)*DsBar_DpsiC*vBar2 + 2.0*sqrt_sBar*vBar*DvBar_DpsiC)
*/
        __pyx_v_sqrt_sBar = sqrt(__pyx_v_sBar);
 
        /* "subsurfaceTransportFunctions.pyx":442
 * 
 *                 sqrt_sBar = sqrt(sBar)
 *                 KWr= sqrt_sBar*vBar2             # <<<<<<<<<<<<<<
 *                 DKWr_DpsiC= ((0.5/sqrt_sBar)*DsBar_DpsiC*vBar2 + 2.0*sqrt_sBar*vBar*DvBar_DpsiC)
 *             else:
*/
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        /* "subsurfaceTransportFunctions.pyx":443
 *                 sqrt_sBar = sqrt(sBar)
 *                 KWr= sqrt_sBar*vBar2
 *                 DKWr_DpsiC= ((0.5/sqrt_sBar)*DsBar_DpsiC*vBar2 + 2.0*sqrt_sBar*vBar*DvBar_DpsiC)             # <<<<<<<<<<<<<<
 *             else:
 *                 thetaW        = thetaS
*/
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          PyErr_SetString(PyExc_ZeroDivisionError, "float division");
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        /* "subsurfaceTransportFunctions.pyx":423
 *             m = 1.0 - 1.0/n[matID]
 *             thetaS = thetaR[matID] + thetaSR[matID]
 *             if psiC > 0.0:             # <<<<<<<<<<<<<<
 *                 pcBar = alpha[matID]*psiC
 *                 pcBar_nM2 = pow(pcBar,n[matID]-2)
*/
        goto __pyx_L10;
      }
 
      /* "subsurfaceTransportFunctions.pyx":445
 *                 DKWr_DpsiC= ((0.5/sqrt_sBar)*DsBar_DpsiC*vBar2 + 2.0*sqrt_sBar*vBar*DvBar_DpsiC)
 *             else:
 *                 thetaW        = thetaS             # <<<<<<<<<<<<<<
 *                 DthetaW_DpsiC = 0.0
 *                 KWr           = 1.0
*/
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        /* "subsurfaceTransportFunctions.pyx":446
 *             else:
 *                 thetaW        = thetaS
 *                 DthetaW_DpsiC = 0.0             # <<<<<<<<<<<<<<
 *                 KWr           = 1.0
 *                 DKWr_DpsiC    = 0.0
*/
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        /* "subsurfaceTransportFunctions.pyx":447
 *                 thetaW        = thetaS
 *                 DthetaW_DpsiC = 0.0
 *                 KWr           = 1.0             # <<<<<<<<<<<<<<
 *                 DKWr_DpsiC    = 0.0
 *             #
*/
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 *                 DthetaW_DpsiC = 0.0
 *                 KWr           = 1.0
 *                 DKWr_DpsiC    = 0.0             # <<<<<<<<<<<<<<
 *             #
 *             rhom = rho*exp(beta*u_j)
*/
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      __pyx_L10:;
 
      /* "subsurfaceTransportFunctions.pyx":450
 *                 DKWr_DpsiC    = 0.0
 *             #
 *             rhom = rho*exp(beta*u_j)             # <<<<<<<<<<<<<<
 *             drhom= beta*rhom
 *             q_mass[eN,j] = rhom*thetaW
*/
      __pyx_v_rhom = (__pyx_v_rho * exp((__pyx_v_beta * __pyx_v_u_j)));
 
      /* "subsurfaceTransportFunctions.pyx":451
 *             #
 *             rhom = rho*exp(beta*u_j)
 *             drhom= beta*rhom             # <<<<<<<<<<<<<<
 *             q_mass[eN,j] = rhom*thetaW
 *             q_dmass[eN,j]=-rhom*DthetaW_DpsiC+drhom*thetaW
*/
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      /* "subsurfaceTransportFunctions.pyx":452
 *             rhom = rho*exp(beta*u_j)
 *             drhom= beta*rhom
 *             q_mass[eN,j] = rhom*thetaW             # <<<<<<<<<<<<<<
 *             q_dmass[eN,j]=-rhom*DthetaW_DpsiC+drhom*thetaW
 * 
*/
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      __pyx_t_14 = __pyx_v_j;
      __pyx_t_15 = -1;
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        __pyx_t_10 += __pyx_pybuffernd_q_mass.diminfo[0].shape;
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      if (__pyx_t_14 < 0) {
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      *__Pyx_BufPtrStrided2d(__pyx_t_28subsurfaceTransportFunctions_DTYPE_t *, __pyx_pybuffernd_q_mass.rcbuffer->pybuffer.buf, __pyx_t_10, __pyx_pybuffernd_q_mass.diminfo[0].strides, __pyx_t_14, __pyx_pybuffernd_q_mass.diminfo[1].strides) = (__pyx_v_rhom * __pyx_v_thetaW);
 
      /* "subsurfaceTransportFunctions.pyx":453
 *             drhom= beta*rhom
 *             q_mass[eN,j] = rhom*thetaW
 *             q_dmass[eN,j]=-rhom*DthetaW_DpsiC+drhom*thetaW             # <<<<<<<<<<<<<<
 * 
 *             q_kr[eN,j] = KWr
*/
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      __pyx_t_10 = __pyx_v_j;
      __pyx_t_15 = -1;
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      *__Pyx_BufPtrStrided2d(__pyx_t_28subsurfaceTransportFunctions_DTYPE_t *, __pyx_pybuffernd_q_dmass.rcbuffer->pybuffer.buf, __pyx_t_14, __pyx_pybuffernd_q_dmass.diminfo[0].strides, __pyx_t_10, __pyx_pybuffernd_q_dmass.diminfo[1].strides) = (((-__pyx_v_rhom) * __pyx_v_DthetaW_DpsiC) + (__pyx_v_drhom * __pyx_v_thetaW));
 
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 *             q_dmass[eN,j]=-rhom*DthetaW_DpsiC+drhom*thetaW
 * 
 *             q_kr[eN,j] = KWr             # <<<<<<<<<<<<<<
 *             q_dkr[eN,j]= -DKWr_DpsiC
 * 
*/
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 *                 for ii in range(nnz):
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 *                 #
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 *                 for I in range(nSpace):             # <<<<<<<<<<<<<<
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 *                 #accumulate advection and stiffness contributions
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 *                     for ii in range(rowptr[I],rowptr[I+1]):
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 * 
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 *     for eN in range(nElements_global):
 *         volume = volFactor*fabs(q_detJ[eN,0]) #affine transformation
 *         weight = nAvgWeight*volume             # <<<<<<<<<<<<<<
 * 
 * 
*/
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 * 
 * 
 *         for i in range(nDOF_test_element):             # <<<<<<<<<<<<<<
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*/
 
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 *             ##mass
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 * 
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*/
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 * 
 *             #have to actually compute loop over other nodes for stiffness terms
 *             for ebN in range(nElementBoundaries_element): #same as nDOF_trial , nElementBoundaries_             # <<<<<<<<<<<<<<
 *                 #assumes linear parts of f and a and upwind k_r have already been evaluated correctly for interface
 *                 for ii in range(nnz):
*/
 
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 *             for ebN in range(nElementBoundaries_element): #same as nDOF_trial , nElementBoundaries_
 *                 #assumes linear parts of f and a and upwind k_r have already been evaluated correctly for interface
 *                 for ii in range(nnz):             # <<<<<<<<<<<<<<
 *                     a_up[ii] = q_alin[eN,ebN,ii]*q_kr_up[eN,ebN]
 *                 for I in range(nSpace):
*/
 
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 *                 #assumes linear parts of f and a and upwind k_r have already been evaluated correctly for interface
 *                 for ii in range(nnz):
 *                     a_up[ii] = q_alin[eN,ebN,ii]*q_kr_up[eN,ebN]             # <<<<<<<<<<<<<<
 *                 for I in range(nSpace):
 *                     f_up[I] = q_flin[eN,ebN,I]*q_kr_up[eN,ebN]
*/
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 *                 for ii in range(nnz):
 *                     a_up[ii] = q_alin[eN,ebN,ii]*q_kr_up[eN,ebN]
 *                 for I in range(nSpace):             # <<<<<<<<<<<<<<
 *                     f_up[I] = q_flin[eN,ebN,I]*q_kr_up[eN,ebN]
 *                 #
*/
 
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 *                     a_up[ii] = q_alin[eN,ebN,ii]*q_kr_up[eN,ebN]
 *                 for I in range(nSpace):
 *                     f_up[I] = q_flin[eN,ebN,I]*q_kr_up[eN,ebN]             # <<<<<<<<<<<<<<
 *                 #
 * 
*/
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        /* "subsurfaceTransportFunctions.pyx":663
 * 
 *                 #Picard part first
 *                 for j in range(nDOF_trial_element):             # <<<<<<<<<<<<<<
 *                     for I in range(nSpace):
 *                         for ii in range(rowptr[I],rowptr[I+1]):
*/
 
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 *                 #Picard part first
 *                 for j in range(nDOF_trial_element):
 *                     for I in range(nSpace):             # <<<<<<<<<<<<<<
 *                         for ii in range(rowptr[I],rowptr[I+1]):
 *                             elementJacobian[eN,i,j] += weight*a_up[ii]*q_grad_v[eN,ebN,j,colind[ii]]*q_grad_w[eN,ebN,i,I]
*/
 
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 *                 for j in range(nDOF_trial_element):
 *                     for I in range(nSpace):
 *                         for ii in range(rowptr[I],rowptr[I+1]):             # <<<<<<<<<<<<<<
 *                             elementJacobian[eN,i,j] += weight*a_up[ii]*q_grad_v[eN,ebN,j,colind[ii]]*q_grad_w[eN,ebN,i,I]
 *                 #j picard
*/
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 *                     for I in range(nSpace):
 *                         for ii in range(rowptr[I],rowptr[I+1]):
 *                             elementJacobian[eN,i,j] += weight*a_up[ii]*q_grad_v[eN,ebN,j,colind[ii]]*q_grad_w[eN,ebN,i,I]             # <<<<<<<<<<<<<<
 *                 #j picard
 *         #i
*/
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/* "subsurfaceTransportFunctions.pyx":693
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/* Python wrapper */
static PyObject *__pyx_pw_28subsurfaceTransportFunctions_39updateMassJacobian_weakAvg(PyObject *__pyx_self, 
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PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
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PyObject *__pyx_args, PyObject *__pyx_kwds
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); /*proto*/
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/* "subsurfaceTransportFunctions.pyx":733
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 *          for eN in range(x.shape[0]):
 *             for k in range(x.shape[1]):             # <<<<<<<<<<<<<<
 *                v[eN,k,0]=2.0*pi*(x[eN,k,1]-xc)
 *                v[eN,k,1]=2.0*pi*(yc-x[eN,k,0])
*/
 
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 *          for eN in range(x.shape[0]):
 *             for k in range(x.shape[1]):
 *                v[eN,k,0]=2.0*pi*(x[eN,k,1]-xc)             # <<<<<<<<<<<<<<
 *                v[eN,k,1]=2.0*pi*(yc-x[eN,k,0])
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 *             for k in range(x.shape[1]):
 *                v[eN,k,0]=2.0*pi*(x[eN,k,1]-xc)
 *                v[eN,k,1]=2.0*pi*(yc-x[eN,k,0])             # <<<<<<<<<<<<<<
 *                v[eN,k,2]=zvelocity
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*/
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          /* "subsurfaceTransportFunctions.pyx":801
 *                v[eN,k,0]=2.0*pi*(x[eN,k,1]-xc)
 *                v[eN,k,1]=2.0*pi*(yc-x[eN,k,0])
 *                v[eN,k,2]=zvelocity             # <<<<<<<<<<<<<<
 *    else:
 *       assert v.shape[2] == 2
*/
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          __pyx_t_9 = __pyx_v_k;
          __pyx_t_8 = 2;
          __pyx_t_11 = -1;
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 *    cdef double pi
 *    pi = M_PI
 *    if v.shape[2] == 3:             # <<<<<<<<<<<<<<
 *       if transient == 1:
 *          for eN in range(x.shape[0]):
*/
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 *    else:
 *       assert v.shape[2] == 2             # <<<<<<<<<<<<<<
 *       if transient == 1:
 *          for eN in range(x.shape[0]):
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 *    else:
 *       assert v.shape[2] == 2
 *       if transient == 1:             # <<<<<<<<<<<<<<
 *          for eN in range(x.shape[0]):
 *             for k in range(x.shape[1]):
*/
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 *       assert v.shape[2] == 2
 *       if transient == 1:
 *          for eN in range(x.shape[0]):             # <<<<<<<<<<<<<<
 *             for k in range(x.shape[1]):
 *                v[eN,k,0]=2.0*pi*(x[eN,k,1]-xc)
*/
 
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 *       if transient == 1:
 *          for eN in range(x.shape[0]):
 *             for k in range(x.shape[1]):             # <<<<<<<<<<<<<<
 *                v[eN,k,0]=2.0*pi*(x[eN,k,1]-xc)
 *                v[eN,k,1]=2.0*pi*(yc-x[eN,k,0])
*/
 
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 *          for eN in range(x.shape[0]):
 *             for k in range(x.shape[1]):
 *                v[eN,k,0]=2.0*pi*(x[eN,k,1]-xc)             # <<<<<<<<<<<<<<
 *                v[eN,k,1]=2.0*pi*(yc-x[eN,k,0])
 *                v[eN,k,:]*=(tForReversal-t)/(tForReversal-0.0)*clock
*/
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 *             for k in range(x.shape[1]):
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 *                   v[eN,ebN,k,0]=2.0*pi*(x[eN,ebN,k,1]-xc)
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*/
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 *       if transient == 1:
 *          for eN in range(x.shape[0]):
*/
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 *       assert v.shape[v.ndim-1] == 2
 *       if transient == 1:             # <<<<<<<<<<<<<<
 *          for eN in range(x.shape[0]):
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*/
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 *       assert v.shape[v.ndim-1] == 2
 *       if transient == 1:
 *          for eN in range(x.shape[0]):             # <<<<<<<<<<<<<<
 *             for ebN in range(x.shape[1]):
 *                for k in range(x.shape[2]):
*/
 
      __pyx_t_2 = (__pyx_f_5numpy_7ndarray_5shape___get__(((PyArrayObject *)__pyx_v_x))[0]);
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        /* "subsurfaceTransportFunctions.pyx":848
 *       if transient == 1:
 *          for eN in range(x.shape[0]):
 *             for ebN in range(x.shape[1]):             # <<<<<<<<<<<<<<
 *                for k in range(x.shape[2]):
 *                   v[eN,ebN,k,0]=2.0*pi*(x[eN,ebN,k,1]-xc)
*/
 
        __pyx_t_5 = (__pyx_f_5numpy_7ndarray_5shape___get__(((PyArrayObject *)__pyx_v_x))[1]);
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        for (__pyx_t_7 = 0; __pyx_t_7 < __pyx_t_6; __pyx_t_7+=1) {
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 *             for ebN in range(x.shape[1]):
 *                for k in range(x.shape[2]):             # <<<<<<<<<<<<<<
 *                   v[eN,ebN,k,0]=2.0*pi*(x[eN,ebN,k,1]-xc)
 *                   v[eN,ebN,k,1]=2.0*pi*(yc-x[eN,ebN,k,0])
*/
 
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 *                                                                      numpy.ndarray[ITYPE_t,ndim=2] elementBoundaryTypes,
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 *                                                                          numpy.ndarray[ITYPE_t,ndim=2] elementBoundariesArray,
 *                                                                          numpy.ndarray[ITYPE_t,ndim=2] elementBoundaryTypes,
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 *                                                                            numpy.ndarray[ITYPE_t,ndim=2] elementBoundaryTypes,
 *                                                                            numpy.ndarray[DTYPE_t,ndim=2] ebq_global_vals,
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 *                                                                                numpy.ndarray[ITYPE_t,ndim=2] elementBoundariesArray,
 *                                                                                numpy.ndarray[ITYPE_t,ndim=2] elementBoundaryTypes,
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 *                                                numpy.ndarray[ITYPE_t,ndim=1] elementMaterialTypes,
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 *                                                numpy.ndarray[ITYPE_t,ndim=1] elementMaterialTypes,
 *                                                numpy.ndarray[DTYPE_t,ndim=3] x,
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 * 
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 *                                                                           numpy.ndarray[ITYPE_t,ndim=2] elementBoundariesArray,
 *                                                                           numpy.ndarray[ITYPE_t,ndim=2] elementBoundaryTypes,
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 *                                                                               double t,
 *                                                                               numpy.ndarray[ITYPE_t,ndim=2] elementBoundariesArray,
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 * 
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 *                                                                                 numpy.ndarray[ITYPE_t,ndim=2] elementBoundariesArray,
 *                                                                                 numpy.ndarray[ITYPE_t,ndim=2] elementBoundaryTypes,
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 * 
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 *                                                                                     double t,
 *                                                                                     numpy.ndarray[ITYPE_t,ndim=2] elementBoundariesArray,
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 * 
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 * 
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 *                                numpy.ndarray[ITYPE_t,ndim=1] rowptr,
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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 < 209; i++) {
      Py_ssize_t bytes_length = str_length_index[i].length;
      PyObject *string = PyUnicode_DecodeUTF8(bytes + pos, bytes_length, NULL);
      if (likely(string) && i >= 6) PyUnicode_InternInPlace(&string);
      if (unlikely(!string)) {
        Py_XDECREF(data);
        __PYX_ERR(0, 1, __pyx_L1_error)
      }
      stringtab[i] = string;
      pos += bytes_length;
    }
    for (int i = 209; i < 238; i++) {
      Py_ssize_t bytes_length = bytes_length_index[i-209].length;
      PyObject *string = PyBytes_FromStringAndSize(bytes + pos, bytes_length);
      stringtab[i] = string;
      pos += bytes_length;
      if (unlikely(!string)) {
        Py_XDECREF(data);
        __PYX_ERR(0, 1, __pyx_L1_error)
      }
    }
    Py_XDECREF(data);
    for (Py_ssize_t i = 0; i < 238; i++) {
      if (unlikely(PyObject_Hash(stringtab[i]) == -1)) {
        __PYX_ERR(0, 1, __pyx_L1_error)
      }
    }
    #if CYTHON_IMMORTAL_CONSTANTS
    {
      PyObject **table = stringtab + 209;
      for (Py_ssize_t i=0; i<29; ++i) {
        #if PY_VERSION_HEX >= 0x030F0000
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        #elif CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
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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 : 6;
    unsigned int flags : 10;
    unsigned int first_line : 10;
} __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 = {5, 0, 0, 8, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 19};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_nExteriorElementBoundaries_globa, __pyx_mstate->__pyx_n_u_exteriorElementBoundariesArray, __pyx_mstate->__pyx_n_u_elementBoundaryElementsArray, __pyx_mstate->__pyx_n_u_elementMaterialTypes, __pyx_mstate->__pyx_n_u_exteriorElementBoundaryMaterialT, __pyx_mstate->__pyx_n_u_ebNE, __pyx_mstate->__pyx_n_u_ebN, __pyx_mstate->__pyx_n_u_eN};
    __pyx_mstate_global->__pyx_codeobj_tab[0] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_subsurfaceTransportFunct, __pyx_mstate->__pyx_n_u_setExteriorElementBoundaryTypes, __pyx_mstate->__pyx_kp_b_iso88591_Qa_AQ_4q_AX5I, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[0])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {4, 0, 0, 7, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 30};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_nElementBoundaries_global, __pyx_mstate->__pyx_n_u_elementBoundaryElementsArray, __pyx_mstate->__pyx_n_u_elementMaterialTypes, __pyx_mstate->__pyx_n_u_elementBoundaryMaterialTypes, __pyx_mstate->__pyx_n_u_ebN, __pyx_mstate->__pyx_n_u_eN_left, __pyx_mstate->__pyx_n_u_eN_right};
    __pyx_mstate_global->__pyx_codeobj_tab[1] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_subsurfaceTransportFunct, __pyx_mstate->__pyx_n_u_setElementBoundariesArray, __pyx_mstate->__pyx_kp_b_iso88591_uAQ_at1_at1_AT_B_1_AT_B_1_9Cq_U, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[1])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 6, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 44};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_elementMaterialTypes, __pyx_mstate->__pyx_n_u_q_vals, __pyx_mstate->__pyx_n_u_material_functions, __pyx_mstate->__pyx_n_u_eN, __pyx_mstate->__pyx_n_u_k, __pyx_mstate->__pyx_n_u_material};
    __pyx_mstate_global->__pyx_codeobj_tab[2] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_subsurfaceTransportFunct, __pyx_mstate->__pyx_n_u_setScalarMaterialFunctionOverEle, __pyx_mstate->__pyx_kp_b_iso88591_e1F_q_E_avV1A_3e_Qa, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[2])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 6, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 57};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_elementMaterialTypes, __pyx_mstate->__pyx_n_u_q_vals, __pyx_mstate->__pyx_n_u_material_functions, __pyx_mstate->__pyx_n_u_eN, __pyx_mstate->__pyx_n_u_k, __pyx_mstate->__pyx_n_u_material};
    __pyx_mstate_global->__pyx_codeobj_tab[3] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_subsurfaceTransportFunct, __pyx_mstate->__pyx_n_u_setVectorMaterialFunctionOverEle, __pyx_mstate->__pyx_kp_b_iso88591_e1F_q_E_avV1A_3g_q, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[3])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {4, 0, 0, 10, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 70};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_elementBoundariesArray, __pyx_mstate->__pyx_n_u_elementBoundaryTypes, __pyx_mstate->__pyx_n_u_ebq_vals, __pyx_mstate->__pyx_n_u_material_functions, __pyx_mstate->__pyx_n_u_eN, __pyx_mstate->__pyx_n_u_ebN, __pyx_mstate->__pyx_n_u_ebN_local, __pyx_mstate->__pyx_n_u_k, __pyx_mstate->__pyx_n_u_material_left, __pyx_mstate->__pyx_n_u_material_right};
    __pyx_mstate_global->__pyx_codeobj_tab[4] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_subsurfaceTransportFunct, __pyx_mstate->__pyx_n_u_setScalarMaterialFunctionOverEle_2, __pyx_mstate->__pyx_kp_b_iso88591_e1HF_1_M_axvQa_A_0_Q_0_Q_U_86_J, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[4])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {5, 0, 0, 15, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 92};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_nd, __pyx_mstate->__pyx_n_u_elementBoundariesArray, __pyx_mstate->__pyx_n_u_elementBoundaryTypes, __pyx_mstate->__pyx_n_u_ebq_vals, __pyx_mstate->__pyx_n_u_material_functions, __pyx_mstate->__pyx_n_u_eN, __pyx_mstate->__pyx_n_u_ebN, __pyx_mstate->__pyx_n_u_ebN_local, __pyx_mstate->__pyx_n_u_k, __pyx_mstate->__pyx_n_u_material_left, __pyx_mstate->__pyx_n_u_material_right, __pyx_mstate->__pyx_n_u_I, __pyx_mstate->__pyx_n_u_J, __pyx_mstate->__pyx_n_u_numer, __pyx_mstate->__pyx_n_u_denom};
    __pyx_mstate_global->__pyx_codeobj_tab[5] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_subsurfaceTransportFunct, __pyx_mstate->__pyx_n_u_setSparseTensorMaterialFunctionO, __pyx_mstate->__pyx_kp_b_iso88591_e1HF_1_M_axvQa_A_0_Q_0_Q_U_86_E, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[5])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {4, 0, 0, 8, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 119};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_elementBoundariesArray, __pyx_mstate->__pyx_n_u_elementBoundaryTypes, __pyx_mstate->__pyx_n_u_ebq_global_vals, __pyx_mstate->__pyx_n_u_material_functions, __pyx_mstate->__pyx_n_u_ebN, __pyx_mstate->__pyx_n_u_material_left, __pyx_mstate->__pyx_n_u_material_right, __pyx_mstate->__pyx_n_u_k};
    __pyx_mstate_global->__pyx_codeobj_tab[6] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_subsurfaceTransportFunct, __pyx_mstate->__pyx_n_u_setScalarMaterialFunctionOverGlo, __pyx_mstate->__pyx_kp_b_iso88591_uA_F_1_AT_AT_E_a_fAQ_1D_S_A_1_A, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[6])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {5, 0, 0, 13, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 140};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_nd, __pyx_mstate->__pyx_n_u_elementBoundariesArray, __pyx_mstate->__pyx_n_u_elementBoundaryTypes, __pyx_mstate->__pyx_n_u_ebq_global_vals, __pyx_mstate->__pyx_n_u_material_functions, __pyx_mstate->__pyx_n_u_ebN, __pyx_mstate->__pyx_n_u_k, __pyx_mstate->__pyx_n_u_material_left, __pyx_mstate->__pyx_n_u_material_right, __pyx_mstate->__pyx_n_u_I, __pyx_mstate->__pyx_n_u_J, __pyx_mstate->__pyx_n_u_numer, __pyx_mstate->__pyx_n_u_denom};
    __pyx_mstate_global->__pyx_codeobj_tab[7] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_subsurfaceTransportFunct, __pyx_mstate->__pyx_n_u_setSparseTensorMaterialFunctionO_2, __pyx_mstate->__pyx_kp_b_iso88591_uA_F_1_AT_AT_E_a_fAQ_U_1_E_aq_C, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[7])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {5, 0, 0, 8, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 166};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_t, __pyx_mstate->__pyx_n_u_elementMaterialTypes, __pyx_mstate->__pyx_n_u_x, __pyx_mstate->__pyx_n_u_q_vals, __pyx_mstate->__pyx_n_u_material_functions, __pyx_mstate->__pyx_n_u_eN, __pyx_mstate->__pyx_n_u_k, __pyx_mstate->__pyx_n_u_material};
    __pyx_mstate_global->__pyx_codeobj_tab[8] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_subsurfaceTransportFunct, __pyx_mstate->__pyx_n_u_evaluateScalarMaterialFunctionOv, __pyx_mstate->__pyx_kp_b_iso88591_e1AV1A_q_E_aq_aq_3e_Qiq_S, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[8])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {5, 0, 0, 8, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 181};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_t, __pyx_mstate->__pyx_n_u_elementMaterialTypes, __pyx_mstate->__pyx_n_u_x, __pyx_mstate->__pyx_n_u_q_vals, __pyx_mstate->__pyx_n_u_material_functions, __pyx_mstate->__pyx_n_u_eN, __pyx_mstate->__pyx_n_u_k, __pyx_mstate->__pyx_n_u_material};
    __pyx_mstate_global->__pyx_codeobj_tab[9] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_subsurfaceTransportFunct, __pyx_mstate->__pyx_n_u_evaluateVectorMaterialFunctionOv, __pyx_mstate->__pyx_kp_b_iso88591_e1AV1A_q_E_aq_aq_3g_q_1Cs_A, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[9])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {6, 0, 0, 12, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 196};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_t, __pyx_mstate->__pyx_n_u_elementBoundariesArray, __pyx_mstate->__pyx_n_u_elementBoundaryTypes, __pyx_mstate->__pyx_n_u_x, __pyx_mstate->__pyx_n_u_ebq_vals, __pyx_mstate->__pyx_n_u_material_functions, __pyx_mstate->__pyx_n_u_eN, __pyx_mstate->__pyx_n_u_ebN, __pyx_mstate->__pyx_n_u_ebN_local, __pyx_mstate->__pyx_n_u_k, __pyx_mstate->__pyx_n_u_material_left, __pyx_mstate->__pyx_n_u_material_right};
    __pyx_mstate_global->__pyx_codeobj_tab[10] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_subsurfaceTransportFunct, __pyx_mstate->__pyx_n_u_evaluateScalarMaterialFunctionOv_2, __pyx_mstate->__pyx_kp_b_iso88591_e1AV1A_M_aq_aq_A_0_Q_0_Q_U_1F_1, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[10])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {7, 0, 0, 17, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 220};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_nd, __pyx_mstate->__pyx_n_u_t, __pyx_mstate->__pyx_n_u_elementBoundariesArray, __pyx_mstate->__pyx_n_u_elementBoundaryTypes, __pyx_mstate->__pyx_n_u_x, __pyx_mstate->__pyx_n_u_ebq_vals, __pyx_mstate->__pyx_n_u_material_functions, __pyx_mstate->__pyx_n_u_eN, __pyx_mstate->__pyx_n_u_ebN, __pyx_mstate->__pyx_n_u_ebN_local, __pyx_mstate->__pyx_n_u_k, __pyx_mstate->__pyx_n_u_material_left, __pyx_mstate->__pyx_n_u_material_right, __pyx_mstate->__pyx_n_u_I, __pyx_mstate->__pyx_n_u_J, __pyx_mstate->__pyx_n_u_numer, __pyx_mstate->__pyx_n_u_denom};
    __pyx_mstate_global->__pyx_codeobj_tab[11] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_subsurfaceTransportFunct, __pyx_mstate->__pyx_n_u_evaluateSparseTensorMaterialFunc, __pyx_mstate->__pyx_kp_b_iso88591_e1AV1A_M_aq_aq_A_0_Q_0_Q_U_1F_1_2, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[11])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {6, 0, 0, 10, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 249};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_t, __pyx_mstate->__pyx_n_u_elementBoundariesArray, __pyx_mstate->__pyx_n_u_elementBoundaryTypes, __pyx_mstate->__pyx_n_u_x, __pyx_mstate->__pyx_n_u_ebq_global_vals, __pyx_mstate->__pyx_n_u_material_functions, __pyx_mstate->__pyx_n_u_ebN, __pyx_mstate->__pyx_n_u_material_left, __pyx_mstate->__pyx_n_u_material_right, __pyx_mstate->__pyx_n_u_k};
    __pyx_mstate_global->__pyx_codeobj_tab[12] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_subsurfaceTransportFunct, __pyx_mstate->__pyx_n_u_evaluateScalarMaterialFunctionOv_3, __pyx_mstate->__pyx_kp_b_iso88591_uAQfAQ_AT_AT_E_aq_aq_1D_S_A_1AQ, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[12])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {7, 0, 0, 15, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 272};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_nd, __pyx_mstate->__pyx_n_u_t, __pyx_mstate->__pyx_n_u_elementBoundariesArray, __pyx_mstate->__pyx_n_u_elementBoundaryTypes, __pyx_mstate->__pyx_n_u_x, __pyx_mstate->__pyx_n_u_ebq_global_vals, __pyx_mstate->__pyx_n_u_material_functions, __pyx_mstate->__pyx_n_u_ebN, __pyx_mstate->__pyx_n_u_k, __pyx_mstate->__pyx_n_u_material_left, __pyx_mstate->__pyx_n_u_material_right, __pyx_mstate->__pyx_n_u_I, __pyx_mstate->__pyx_n_u_J, __pyx_mstate->__pyx_n_u_numer, __pyx_mstate->__pyx_n_u_denom};
    __pyx_mstate_global->__pyx_codeobj_tab[13] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_subsurfaceTransportFunct, __pyx_mstate->__pyx_n_u_evaluateSparseTensorMaterialFunc_2, __pyx_mstate->__pyx_kp_b_iso88591_uAQfAQ_AT_AT_E_aq_aq_U_1_E_aq_C, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[13])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {12, 0, 0, 24, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 302};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_rho, __pyx_mstate->__pyx_n_u_gravity, __pyx_mstate->__pyx_n_u_rowptr, __pyx_mstate->__pyx_n_u_colind, __pyx_mstate->__pyx_n_u_KWs, __pyx_mstate->__pyx_n_u_nSpace, __pyx_mstate->__pyx_n_u_nElements_global, __pyx_mstate->__pyx_n_u_nElementBoundaries_element, __pyx_mstate->__pyx_n_u_elementNeighborsArray, __pyx_mstate->__pyx_n_u_elementMaterialTypes, __pyx_mstate->__pyx_n_u_q_flin, __pyx_mstate->__pyx_n_u_q_alin, __pyx_mstate->__pyx_n_u_eN, __pyx_mstate->__pyx_n_u_eN_neighbor, __pyx_mstate->__pyx_n_u_ii, __pyx_mstate->__pyx_n_u_I, __pyx_mstate->__pyx_n_u_ebN, __pyx_mstate->__pyx_n_u_matID, __pyx_mstate->__pyx_n_u_matID_neig, __pyx_mstate->__pyx_n_u_nSpace2, __pyx_mstate->__pyx_n_u_nnz, __pyx_mstate->__pyx_n_u_a_eN, __pyx_mstate->__pyx_n_u_a_neig, __pyx_mstate->__pyx_n_u_a_avg};
    __pyx_mstate_global->__pyx_codeobj_tab[14] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_subsurfaceTransportFunct, __pyx_mstate->__pyx_n_u_RE_NCP1_evaluateElementCoefficie, __pyx_mstate->__pyx_kp_b_iso88591_6_vQa_6_0_V1D_0_V1D_0_V1D_e1A_A, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[14])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {24, 0, 0, 61, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 360};
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  {
    const __Pyx_PyCode_New_function_description descr = {21, 0, 0, 42, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 487};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_gravity, __pyx_mstate->__pyx_n_u_rowptr, __pyx_mstate->__pyx_n_u_colind, __pyx_mstate->__pyx_n_u_nSpace, __pyx_mstate->__pyx_n_u_nElements_global, __pyx_mstate->__pyx_n_u_nElementBoundaries_element, __pyx_mstate->__pyx_n_u_elementNeighborsArray, __pyx_mstate->__pyx_n_u_elementBarycentersArray, __pyx_mstate->__pyx_n_u_nDOF_test_element, __pyx_mstate->__pyx_n_u_q_u, __pyx_mstate->__pyx_n_u_q_grad_u, __pyx_mstate->__pyx_n_u_q_grad_w, __pyx_mstate->__pyx_n_u_q_detJ, __pyx_mstate->__pyx_n_u_q_m, __pyx_mstate->__pyx_n_u_q_mt, __pyx_mstate->__pyx_n_u_q_r, __pyx_mstate->__pyx_n_u_q_kr, __pyx_mstate->__pyx_n_u_q_kr_up, __pyx_mstate->__pyx_n_u_q_flin, __pyx_mstate->__pyx_n_u_q_alin, __pyx_mstate->__pyx_n_u_elementResidual, __pyx_mstate->__pyx_n_u_upwindFlag, __pyx_mstate->__pyx_n_u_q, __pyx_mstate->__pyx_n_u_nnz, __pyx_mstate->__pyx_n_u_u_eN, __pyx_mstate->__pyx_n_u_kr_eN, __pyx_mstate->__pyx_n_u_phi_eN, __pyx_mstate->__pyx_n_u_u_neig, __pyx_mstate->__pyx_n_u_kr_neig, __pyx_mstate->__pyx_n_u_phi_neig, __pyx_mstate->__pyx_n_u_eN, __pyx_mstate->__pyx_n_u_eN_neighbor, __pyx_mstate->__pyx_n_u_ii, __pyx_mstate->__pyx_n_u_I, __pyx_mstate->__pyx_n_u_i, __pyx_mstate->__pyx_n_u_ebN, __pyx_mstate->__pyx_n_u_a_up, __pyx_mstate->__pyx_n_u_f_up, __pyx_mstate->__pyx_n_u_nAvgWeight, __pyx_mstate->__pyx_n_u_weight, __pyx_mstate->__pyx_n_u_volFactor, __pyx_mstate->__pyx_n_u_volume};
    __pyx_mstate_global->__pyx_codeobj_tab[16] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_subsurfaceTransportFunct, __pyx_mstate->__pyx_n_u_RE_NCP1_getElementResidual, __pyx_mstate->__pyx_kp_b_iso88591_R_Qd_e4q_q_as_V1A_S_aq_6_U_Q_U, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[16])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {26, 0, 0, 51, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 575};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_gravity, __pyx_mstate->__pyx_n_u_rowptr, __pyx_mstate->__pyx_n_u_colind, __pyx_mstate->__pyx_n_u_nSpace, __pyx_mstate->__pyx_n_u_nElements_global, __pyx_mstate->__pyx_n_u_nElementBoundaries_element, __pyx_mstate->__pyx_n_u_elementNeighborsArray, __pyx_mstate->__pyx_n_u_elementBarycentersArray, __pyx_mstate->__pyx_n_u_nDOF_test_element, __pyx_mstate->__pyx_n_u_nDOF_trial_element, __pyx_mstate->__pyx_n_u_q_u, __pyx_mstate->__pyx_n_u_q_grad_u, __pyx_mstate->__pyx_n_u_q_grad_w, __pyx_mstate->__pyx_n_u_q_grad_v, __pyx_mstate->__pyx_n_u_q_detJ, __pyx_mstate->__pyx_n_u_q_m, __pyx_mstate->__pyx_n_u_q_dm, __pyx_mstate->__pyx_n_u_q_mt, __pyx_mstate->__pyx_n_u_q_dmt, __pyx_mstate->__pyx_n_u_q_r, __pyx_mstate->__pyx_n_u_q_kr, __pyx_mstate->__pyx_n_u_q_dkr, __pyx_mstate->__pyx_n_u_q_kr_up, __pyx_mstate->__pyx_n_u_q_flin, __pyx_mstate->__pyx_n_u_q_alin, __pyx_mstate->__pyx_n_u_elementJacobian, __pyx_mstate->__pyx_n_u_upwindFlag, __pyx_mstate->__pyx_n_u_picard, __pyx_mstate->__pyx_n_u_q, __pyx_mstate->__pyx_n_u_nnz, __pyx_mstate->__pyx_n_u_u_eN, __pyx_mstate->__pyx_n_u_kr_eN, __pyx_mstate->__pyx_n_u_phi_eN, __pyx_mstate->__pyx_n_u_u_neig, __pyx_mstate->__pyx_n_u_kr_neig, __pyx_mstate->__pyx_n_u_phi_neig, __pyx_mstate->__pyx_n_u_dkr_up, __pyx_mstate->__pyx_n_u_eN, __pyx_mstate->__pyx_n_u_eN_neighbor, __pyx_mstate->__pyx_n_u_ii, __pyx_mstate->__pyx_n_u_I, __pyx_mstate->__pyx_n_u_a_up, __pyx_mstate->__pyx_n_u_f_up, __pyx_mstate->__pyx_n_u_nAvgWeight, __pyx_mstate->__pyx_n_u_weight, __pyx_mstate->__pyx_n_u_volFactor, __pyx_mstate->__pyx_n_u_thisElementIsUpwind, __pyx_mstate->__pyx_n_u_volume, __pyx_mstate->__pyx_n_u_i, __pyx_mstate->__pyx_n_u_ebN, __pyx_mstate->__pyx_n_u_j};
    __pyx_mstate_global->__pyx_codeobj_tab[17] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_subsurfaceTransportFunct, __pyx_mstate->__pyx_n_u_RE_NCP1_getElementJacobian, __pyx_mstate->__pyx_kp_b_iso88591_a_Qd_e4q_q_as_V1A_S_aq_6_U_Q_U, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[17])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {4, 0, 0, 9, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 674};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_mt, __pyx_mstate->__pyx_n_u_w, __pyx_mstate->__pyx_n_u_dV, __pyx_mstate->__pyx_n_u_weak_residual, __pyx_mstate->__pyx_n_u_eN, __pyx_mstate->__pyx_n_u_i, __pyx_mstate->__pyx_n_u_k, __pyx_mstate->__pyx_n_u_mt_avg, __pyx_mstate->__pyx_n_u_vol};
    __pyx_mstate_global->__pyx_codeobj_tab[18] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_subsurfaceTransportFunct, __pyx_mstate->__pyx_n_u_updateMass_weakAvg, __pyx_mstate->__pyx_kp_b_iso88591_vU_2V1A_q_q_uARvQa_2Qc_1Bas_3a, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[18])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {5, 0, 0, 11, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 693};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_dmt, __pyx_mstate->__pyx_n_u_w, __pyx_mstate->__pyx_n_u_v, __pyx_mstate->__pyx_n_u_dV, __pyx_mstate->__pyx_n_u_jacobian_weak_residual, __pyx_mstate->__pyx_n_u_eN, __pyx_mstate->__pyx_n_u_i, __pyx_mstate->__pyx_n_u_j, __pyx_mstate->__pyx_n_u_k, __pyx_mstate->__pyx_n_u_dmtj_avg, __pyx_mstate->__pyx_n_u_vol};
    __pyx_mstate_global->__pyx_codeobj_tab[19] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_subsurfaceTransportFunct, __pyx_mstate->__pyx_n_u_updateMassJacobian_weakAvg, __pyx_mstate->__pyx_kp_b_iso88591_vU_3fAQ_A_uAS_aq_3a_uAQfAQ_U_q, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[19])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {4, 0, 0, 9, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 718};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_v, __pyx_mstate->__pyx_n_u_n, __pyx_mstate->__pyx_n_u_dS, __pyx_mstate->__pyx_n_u_flux, __pyx_mstate->__pyx_n_u_eN, __pyx_mstate->__pyx_n_u_ebN, __pyx_mstate->__pyx_n_u_kb, __pyx_mstate->__pyx_n_u_integral, __pyx_mstate->__pyx_n_u_I};
    __pyx_mstate_global->__pyx_codeobj_tab[20] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_subsurfaceTransportFunct, __pyx_mstate->__pyx_n_u_calculateNormalFlux, __pyx_mstate->__pyx_kp_b_iso88591_vU_1F_1_aq_aq_A_V5_U_1F_1_1AS_C, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[20])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {4, 0, 0, 9, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 733};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_df, __pyx_mstate->__pyx_n_u_characteristic_velocity, __pyx_mstate->__pyx_n_u_dm, __pyx_mstate->__pyx_n_u_dV, __pyx_mstate->__pyx_n_u_eN, __pyx_mstate->__pyx_n_u_k, __pyx_mstate->__pyx_n_u_I, __pyx_mstate->__pyx_n_u_omega_e, __pyx_mstate->__pyx_n_u_vol_e};
    __pyx_mstate_global->__pyx_codeobj_tab[21] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_subsurfaceTransportFunct, __pyx_mstate->__pyx_n_u_computeSimpleCharacteristicVeloc, __pyx_mstate->__pyx_kp_b_iso88591_vU_2V1A_a_uARvQa_Bas_Bas_ARq_1, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[21])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {5, 0, 0, 11, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 754};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_df_dofs, __pyx_mstate->__pyx_n_u_characteristic_velocity_dofs, __pyx_mstate->__pyx_n_u_l2g, __pyx_mstate->__pyx_n_u_dm, __pyx_mstate->__pyx_n_u_dV, __pyx_mstate->__pyx_n_u_eN, __pyx_mstate->__pyx_n_u_k, __pyx_mstate->__pyx_n_u_j, __pyx_mstate->__pyx_n_u_J, __pyx_mstate->__pyx_n_u_omega_e, __pyx_mstate->__pyx_n_u_vol_e};
    __pyx_mstate_global->__pyx_codeobj_tab[22] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_subsurfaceTransportFunct, __pyx_mstate->__pyx_n_u_computeSimpleCharacteristicVeloc_2, __pyx_mstate->__pyx_kp_b_iso88591_vU_2V1A_a_uARvQa_Bas_Bas_ARq_1_2, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[22])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {9, 0, 0, 12, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 777};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_transient, __pyx_mstate->__pyx_n_u_t, __pyx_mstate->__pyx_n_u_tForReversal, __pyx_mstate->__pyx_n_u_clock, __pyx_mstate->__pyx_n_u_xc, __pyx_mstate->__pyx_n_u_yc, __pyx_mstate->__pyx_n_u_x, __pyx_mstate->__pyx_n_u_v, __pyx_mstate->__pyx_n_u_zvelocity, __pyx_mstate->__pyx_n_u_eN, __pyx_mstate->__pyx_n_u_k, __pyx_mstate->__pyx_n_u_pi};
    __pyx_mstate_global->__pyx_codeobj_tab[23] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_subsurfaceTransportFunct, __pyx_mstate->__pyx_n_u_rotatingGaussianElementVelocityE, __pyx_mstate->__pyx_kp_b_iso88591_avQc_A_3a_V5_U_1F_1_Bc_ARr_3b_1, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[23])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {9, 0, 0, 13, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 817};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_transient, __pyx_mstate->__pyx_n_u_t, __pyx_mstate->__pyx_n_u_tForReversal, __pyx_mstate->__pyx_n_u_clock, __pyx_mstate->__pyx_n_u_xc, __pyx_mstate->__pyx_n_u_yc, __pyx_mstate->__pyx_n_u_x, __pyx_mstate->__pyx_n_u_v, __pyx_mstate->__pyx_n_u_zvelocity, __pyx_mstate->__pyx_n_u_eN, __pyx_mstate->__pyx_n_u_ebN, __pyx_mstate->__pyx_n_u_k, __pyx_mstate->__pyx_n_u_pi};
    __pyx_mstate_global->__pyx_codeobj_tab[24] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_subsurfaceTransportFunct, __pyx_mstate->__pyx_n_u_rotatingGaussianElementVelocityE_2, __pyx_mstate->__pyx_kp_b_iso88591_avQauAS_1_3a_V5_uAQfAQ_5_QavQa, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[24])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {9, 0, 0, 12, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 860};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_transient, __pyx_mstate->__pyx_n_u_t, __pyx_mstate->__pyx_n_u_tForReversal, __pyx_mstate->__pyx_n_u_clock, __pyx_mstate->__pyx_n_u_zVelocity, __pyx_mstate->__pyx_n_u_xc, __pyx_mstate->__pyx_n_u_yc, __pyx_mstate->__pyx_n_u_x, __pyx_mstate->__pyx_n_u_v, __pyx_mstate->__pyx_n_u_eN, __pyx_mstate->__pyx_n_u_k, __pyx_mstate->__pyx_n_u_pi};
    __pyx_mstate_global->__pyx_codeobj_tab[25] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_subsurfaceTransportFunct, __pyx_mstate->__pyx_n_u_helicalElementVelocityEval3, __pyx_mstate->__pyx_kp_b_iso88591_j_1_QavQa_U_q_q_Qc_3c_Baq_2Rq_Q, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[25])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {9, 0, 0, 13, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 885};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_transient, __pyx_mstate->__pyx_n_u_t, __pyx_mstate->__pyx_n_u_tForReversal, __pyx_mstate->__pyx_n_u_clock, __pyx_mstate->__pyx_n_u_zVelocity, __pyx_mstate->__pyx_n_u_xc, __pyx_mstate->__pyx_n_u_yc, __pyx_mstate->__pyx_n_u_x, __pyx_mstate->__pyx_n_u_v, __pyx_mstate->__pyx_n_u_eN, __pyx_mstate->__pyx_n_u_ebN, __pyx_mstate->__pyx_n_u_k, __pyx_mstate->__pyx_n_u_pi};
    __pyx_mstate_global->__pyx_codeobj_tab[26] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_subsurfaceTransportFunct, __pyx_mstate->__pyx_n_u_helicalElementVelocityEval4, __pyx_mstate->__pyx_kp_b_iso88591_j_1_QavQa_WE_6_U_1F_1_D_S_2Qas, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[26])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 7, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 912};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_t, __pyx_mstate->__pyx_n_u_x, __pyx_mstate->__pyx_n_u_v, __pyx_mstate->__pyx_n_u_eN, __pyx_mstate->__pyx_n_u_k, __pyx_mstate->__pyx_n_u_pi, __pyx_mstate->__pyx_n_u_one8};
    __pyx_mstate_global->__pyx_codeobj_tab[27] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_subsurfaceTransportFunct, __pyx_mstate->__pyx_n_u_vortexElementVelocityEval3, __pyx_mstate->__pyx_kp_b_iso88591_Qa_vU_1F_1_uAQfAQ_3b_Cq_4q_3as, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[27])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 8, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 925};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_t, __pyx_mstate->__pyx_n_u_x, __pyx_mstate->__pyx_n_u_v, __pyx_mstate->__pyx_n_u_eN, __pyx_mstate->__pyx_n_u_k, __pyx_mstate->__pyx_n_u_ebN, __pyx_mstate->__pyx_n_u_pi, __pyx_mstate->__pyx_n_u_one8};
    __pyx_mstate_global->__pyx_codeobj_tab[28] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_proteus_subsurfaceTransportFunct, __pyx_mstate->__pyx_n_u_vortexElementVelocityEval4, __pyx_mstate->__pyx_kp_b_iso88591_Qa_vU_1F_1_aq_aq_U_q_q_Qc_Rt3ar, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[28])) goto bad;
  }
  Py_DECREF(tuple_dedup_map);
  return 0;
  bad:
  Py_DECREF(tuple_dedup_map);
  return -1;
}
/* #### Code section: init_globals ### */
 
static int __Pyx_InitGlobals(void) {
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  /* PythonCompatibility.init */
  if (likely(__Pyx_init_co_variables() == 0 && __Pyx_init_tpflags_variables() == 0)); else
  
  if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1, __pyx_L1_error)
 
  /* PyFrozenDict.init */
  #if CYTHON_COMPILING_IN_LIMITED_API
  {
      PyObject *builtins = PyEval_GetBuiltins(); // borrowed
      if (likely(builtins)) {
          PyObject *type_name = PyUnicode_FromStringAndSize("frozendict", sizeof("frozendict")-1);
          if (likely(type_name)) {
              PyObject *frozendict_type = PyObject_GetItem(builtins, type_name);
              Py_DECREF(type_name);
              if (!frozendict_type && PyErr_ExceptionMatches(PyExc_KeyError)) {
                  PyErr_Clear();
                  frozendict_type = (PyObject*) &PyDict_Type;
                  Py_INCREF(frozendict_type);
              }
              __pyx_mstate_global->__Pyx_PyFrozenDictType = frozendict_type;
          }
      }
  } // error handling follows
  #endif
  
  if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1, __pyx_L1_error)
 
  /* AssertionsEnabled.init */
  if (likely(__Pyx_init_assertions_enabled() == 0)); else
  
  if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1, __pyx_L1_error)
 
  /* NumpyImportArray.init */
  /*
   * Cython has automatically inserted a call to _import_array since
   * you didn't include one when you cimported numpy. To disable this
   * add the line
   *   <void>numpy._import_array
   */
  #ifdef NPY_FEATURE_VERSION
  #ifndef NO_IMPORT_ARRAY
  if (unlikely(_import_array() == -1)) {
      PyErr_SetString(PyExc_ImportError, "numpy.core.multiarray failed to import "
      "(auto-generated because you didn't call 'numpy.import_array()' after cimporting numpy; "
      "use '<void>numpy._import_array' to disable if you are certain you don't need it).");
  }
  #endif
  #endif
  
  if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1, __pyx_L1_error)
 
  /* CommonTypesMetaclass.init */
  if (likely(__pyx_CommonTypesMetaclass_init(__pyx_m) == 0)); else
  
  if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1, __pyx_L1_error)
 
  /* CachedMethodType.init */
  #if CYTHON_COMPILING_IN_LIMITED_API
  {
      PyObject *typesModule=NULL;
      typesModule = PyImport_ImportModule("types");
      if (typesModule) {
          __pyx_mstate_global->__Pyx_CachedMethodType = PyObject_GetAttrString(typesModule, "MethodType");
          Py_DECREF(typesModule);
      }
  } // error handling follows
  #endif
  
  if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1, __pyx_L1_error)
 
  return 0;
  __pyx_L1_error:;
  return -1;
}
/* #### Code section: init_after_shared_utility ### */
 
static int __Pyx_InitAfterSharedUtility(void) {
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  /* CythonFunctionPerModule.init */
  if (likely(__pyx_CyFunction_init(__pyx_m) == 0)); else
  
  if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1, __pyx_L1_error)
 
  return 0;
  __pyx_L1_error:;
  return -1;
}
/* #### Code section: cleanup_globals ### */
/* #### Code section: cleanup_module ### */
/* #### Code section: main_method ### */
/* #### Code section: utility_code_pragmas ### */
#ifdef _MSC_VER
#pragma warning( push )
/* Warning 4127: conditional expression is constant
 * Cython uses constant conditional expressions to allow in inline functions to be optimized at
 * compile-time, so this warning is not useful
 */
#pragma warning( disable : 4127 )
#endif
 
 
 
/* #### Code section: utility_code_def ### */
 
/* --- Runtime support code --- */
/* Refnanny */
#if CYTHON_REFNANNY
static __Pyx_RefNannyAPIStruct *__Pyx_RefNannyImportAPI(const char *modname) {
    PyObject *m = NULL, *p = NULL;
    void *r = NULL;
    m = PyImport_ImportModule(modname);
    if (!m) goto end;
    p = PyObject_GetAttrString(m, "RefNannyAPI");
    if (!p) goto end;
    r = PyLong_AsVoidPtr(p);
end:
    Py_XDECREF(p);
    Py_XDECREF(m);
    return (__Pyx_RefNannyAPIStruct *)r;
}
#endif
 
/* GetTopmostException (used by SaveResetException) */
#if CYTHON_USE_EXC_INFO_STACK && CYTHON_FAST_THREAD_STATE
static _PyErr_StackItem *
__Pyx_PyErr_GetTopmostException(PyThreadState *tstate)
{
    _PyErr_StackItem *exc_info = tstate->exc_info;
    while ((exc_info->exc_value == NULL || exc_info->exc_value == Py_None) &&
           exc_info->previous_item != NULL)
    {
        exc_info = exc_info->previous_item;
    }
    return exc_info;
}
#endif
 
/* SaveResetException */
#if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
  #if CYTHON_USE_EXC_INFO_STACK && PY_VERSION_HEX >= 0x030B00a4
    _PyErr_StackItem *exc_info = __Pyx_PyErr_GetTopmostException(tstate);
    PyObject *exc_value = exc_info->exc_value;
    if (exc_value == NULL || exc_value == Py_None) {
        *value = NULL;
        *type = NULL;
        *tb = NULL;
    } else {
        *value = exc_value;
        Py_INCREF(*value);
        *type = (PyObject*) Py_TYPE(exc_value);
        Py_INCREF(*type);
        *tb = PyException_GetTraceback(exc_value);
    }
  #elif CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = __Pyx_PyErr_GetTopmostException(tstate);
    *type = exc_info->exc_type;
    *value = exc_info->exc_value;
    *tb = exc_info->exc_traceback;
    Py_XINCREF(*type);
    Py_XINCREF(*value);
    Py_XINCREF(*tb);
  #else
    *type = tstate->exc_type;
    *value = tstate->exc_value;
    *tb = tstate->exc_traceback;
    Py_XINCREF(*type);
    Py_XINCREF(*value);
    Py_XINCREF(*tb);
  #endif
}
static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
  #if CYTHON_USE_EXC_INFO_STACK && PY_VERSION_HEX >= 0x030B00a4
    _PyErr_StackItem *exc_info = tstate->exc_info;
    PyObject *tmp_value = exc_info->exc_value;
    exc_info->exc_value = value;
    Py_XDECREF(tmp_value);
    Py_XDECREF(type);
    Py_XDECREF(tb);
  #else
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    #if CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = tstate->exc_info;
    tmp_type = exc_info->exc_type;
    tmp_value = exc_info->exc_value;
    tmp_tb = exc_info->exc_traceback;
    exc_info->exc_type = type;
    exc_info->exc_value = value;
    exc_info->exc_traceback = tb;
    #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = type;
    tstate->exc_value = value;
    tstate->exc_traceback = tb;
    #endif
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
  #endif
}
#endif
 
/* FastTypeChecks (used by PyException_Check) */
#if CYTHON_COMPILING_IN_CPYTHON
static int __Pyx_InBases(PyTypeObject *a, PyTypeObject *b) {
    while (a) {
        a = __Pyx_PyType_GetSlot(a, tp_base, PyTypeObject*);
        if (a == b)
            return 1;
    }
    return b == &PyBaseObject_Type;
}
static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b) {
    PyObject *mro;
    if (a == b) return 1;
    mro = a->tp_mro;
    if (likely(mro)) {
        Py_ssize_t i, n;
        n = PyTuple_GET_SIZE(mro);
        for (i = 0; i < n; i++) {
            if (PyTuple_GET_ITEM(mro, i) == (PyObject *)b)
                return 1;
        }
        return 0;
    }
    return __Pyx_InBases(a, b);
}
static CYTHON_INLINE int __Pyx_IsAnySubtype2(PyTypeObject *cls, PyTypeObject *a, PyTypeObject *b) {
    PyObject *mro;
    if (cls == a || cls == b) return 1;
    mro = cls->tp_mro;
    if (likely(mro)) {
        Py_ssize_t i, n;
        n = PyTuple_GET_SIZE(mro);
        for (i = 0; i < n; i++) {
            PyObject *base = PyTuple_GET_ITEM(mro, i);
            if (base == (PyObject *)a || base == (PyObject *)b)
                return 1;
        }
        return 0;
    }
    return __Pyx_InBases(cls, a) || __Pyx_InBases(cls, b);
}
#endif
 
/* PyErrFetchRestore (used by GivenExceptionMatches) */
#if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
#if PY_VERSION_HEX >= 0x030C00A6
    PyObject *tmp_value;
    assert(type == NULL || (value != NULL && type == (PyObject*) Py_TYPE(value)));
    if (value) {
        #if CYTHON_COMPILING_IN_CPYTHON
        if (unlikely(((PyBaseExceptionObject*) value)->traceback != tb))
        #endif
            PyException_SetTraceback(value, tb);
    }
    tmp_value = tstate->current_exception;
    tstate->current_exception = value;
    Py_XDECREF(tmp_value);
    Py_XDECREF(type);
    Py_XDECREF(tb);
#else
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    tmp_type = tstate->curexc_type;
    tmp_value = tstate->curexc_value;
    tmp_tb = tstate->curexc_traceback;
    tstate->curexc_type = type;
    tstate->curexc_value = value;
    tstate->curexc_traceback = tb;
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
#endif
}
static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
#if PY_VERSION_HEX >= 0x030C00A6
    PyObject* exc_value;
    exc_value = tstate->current_exception;
    tstate->current_exception = 0;
    *value = exc_value;
    *type = NULL;
    *tb = NULL;
    if (exc_value) {
        *type = (PyObject*) Py_TYPE(exc_value);
        Py_INCREF(*type);
        #if CYTHON_COMPILING_IN_CPYTHON
        *tb = ((PyBaseExceptionObject*) exc_value)->traceback;
        Py_XINCREF(*tb);
        #else
        *tb = PyException_GetTraceback(exc_value);
        #endif
    }
#else
    *type = tstate->curexc_type;
    *value = tstate->curexc_value;
    *tb = tstate->curexc_traceback;
    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
#endif
}
#endif
 
/* GivenExceptionMatches (used by PyErrExceptionMatches) */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject *exc_type2) {
    if (exc_type1) {
        return __Pyx_IsAnySubtype2((PyTypeObject*)err, (PyTypeObject*)exc_type1, (PyTypeObject*)exc_type2);
    } else {
        return __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type2);
    }
}
static int __Pyx_PyErr_GivenExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
    Py_ssize_t i, n;
    assert(PyExceptionClass_Check(exc_type));
    n = PyTuple_GET_SIZE(tuple);
    for (i=0; i<n; i++) {
        if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
    }
    for (i=0; i<n; i++) {
        PyObject *t = PyTuple_GET_ITEM(tuple, i);
        if (likely(PyExceptionClass_Check(t))) {
            if (__Pyx_inner_PyErr_GivenExceptionMatches2(exc_type, NULL, t)) return 1;
        } else {
        }
    }
    return 0;
}
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject* exc_type) {
    if (likely(err == exc_type)) return 1;
    if (likely(PyExceptionClass_Check(err))) {
        if (likely(PyExceptionClass_Check(exc_type))) {
            return __Pyx_inner_PyErr_GivenExceptionMatches2(err, NULL, exc_type);
        } else if (likely(PyTuple_Check(exc_type))) {
            return __Pyx_PyErr_GivenExceptionMatchesTuple(err, exc_type);
        } else {
        }
    }
    return PyErr_GivenExceptionMatches(err, exc_type);
}
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *exc_type1, PyObject *exc_type2) {
    assert(PyExceptionClass_Check(exc_type1));
    assert(PyExceptionClass_Check(exc_type2));
    if (likely(err == exc_type1 || err == exc_type2)) return 1;
    if (likely(PyExceptionClass_Check(err))) {
        return __Pyx_inner_PyErr_GivenExceptionMatches2(err, exc_type1, exc_type2);
    }
    return (PyErr_GivenExceptionMatches(err, exc_type1) || PyErr_GivenExceptionMatches(err, exc_type2));
}
#endif
 
/* PyErrExceptionMatches */
#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;
}
 
/* 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;
}
 
/* BufferIndexError */
static void __Pyx_RaiseBufferIndexError(int axis) {
  PyErr_Format(PyExc_IndexError,
     "Out of bounds on buffer access (axis %d)", axis);
}
 
/* PyFrozenDict (used by DictGetItem) */
#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
 
/* DictGetItem */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject *__Pyx_PyDict_GetItem(PyObject *d, PyObject* key) {
    PyObject *value;
    if (unlikely(__Pyx_PyDict_GetItemRef(d, key, &value) == 0)) { // no value, no error
        if (unlikely(PyTuple_Check(key))) {
            PyObject* args = PyTuple_Pack(1, key);
            if (likely(args)) {
                PyErr_SetObject(PyExc_KeyError, args);
                Py_DECREF(args);
            }
        } else {
            PyErr_SetObject(PyExc_KeyError, key);
        }
    }
    return value;
}
#endif
 
/* FormatTypeName (used by RaiseErrorWithObjectTypes) */
#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
 
/* 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
 
/* PyNumberBinop */
#if !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL || CYTHON_COMPILING_IN_LIMITED_API)
#if CYTHON_USE_TYPE_SLOTS || __PYX_LIMITED_VERSION_HEX >= 0x030A0000
#ifndef __Pyx_DEFINED_BinopTypeError
#define __Pyx_DEFINED_BinopTypeError
static void __Pyx_BinopTypeError(PyObject *op1, PyObject *op2, const char* op, int inplace) {
    char opname[4] = {op[0], op[1], 0, 0};
    if (inplace) {
        opname[op[1] ? 2 : 1] = '=';
    }
    __Pyx_RaiseErrorWithObjectTypes1(
        PyExc_TypeError,
        "unsupported operand type(s) for %.3s: '" __Pyx_FMT_TYPENAME "' and '" __Pyx_FMT_TYPENAME "'",
        opname, op1, op2);
}
#endif
#endif
#ifndef __Pyx_DEFINED_PyNumber_Multiply_xfloat_object
#define __Pyx_DEFINED_PyNumber_Multiply_xfloat_object
static PyObject* __Pyx_PyNumber_Multiply_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);
            int_op2 = (double) compact_op2;
        } else
        #endif
        {
            int_op2 = PyLong_AsDouble(op2);
            if (unlikely((int_op2 == -1.) && PyErr_Occurred())) return NULL;
        }
        double float_op1 = __Pyx_PyFloat_AS_DOUBLE(op1);
        #if !CYTHON_ASSUME_SAFE_MACROS
        if (unlikely((float_op1 == -1.) && PyErr_Occurred())) return NULL;
        #endif
        if (float_op1 == 0.) return __Pyx_NewRef(op1);
        return PyFloat_FromDouble(float_op1 * int_op2);
    }
    if (PyLong_Check(op2)) {
        binaryfunc slot_func = __Pyx_PyType_GetSubSlot(&PyFloat_Type, tp_as_number, nb_multiply, 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_multiply, binaryfunc);
        if (likely(slot_func)) {
            PyObject *result = slot_func(op1, op2);
            if (likely(result != Py_NotImplemented)) {
                return result;
            }
            Py_DECREF(result);
        }
        __Pyx_BinopTypeError(op1, op2, "*", inplace);
        return NULL;
    }
    #else
    return (inplace) ? PyNumber_InPlaceMultiply(op1, op2) : PyNumber_Multiply(op1, op2);
    #endif
}
#endif
static CYTHON_INLINE PyObject* __Pyx__PyNumber_Multiply_float_object(PyObject *op1, PyObject *op2, int inplace) {
    if (likely(op1 != Py_None)) {
        if (likely(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_Multiply_xfloat_object(op1, op2, inplace);
    }
    return (inplace) ? PyNumber_InPlaceMultiply(op1, op2) : PyNumber_Multiply(op1, op2);
}
#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
}
 
/* 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
 
/* PyNumberBinop */
#if !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL || CYTHON_COMPILING_IN_LIMITED_API)
#if CYTHON_USE_TYPE_SLOTS || __PYX_LIMITED_VERSION_HEX >= 0x030A0000
#ifndef __Pyx_DEFINED_BinopTypeError
#define __Pyx_DEFINED_BinopTypeError
static void __Pyx_BinopTypeError(PyObject *op1, PyObject *op2, const char* op, int inplace) {
    char opname[4] = {op[0], op[1], 0, 0};
    if (inplace) {
        opname[op[1] ? 2 : 1] = '=';
    }
    __Pyx_RaiseErrorWithObjectTypes1(
        PyExc_TypeError,
        "unsupported operand type(s) for %.3s: '" __Pyx_FMT_TYPENAME "' and '" __Pyx_FMT_TYPENAME "'",
        opname, op1, op2);
}
#endif
#endif
#ifndef __Pyx_DEFINED_PyNumber_Multiply_xfloat_object
#define __Pyx_DEFINED_PyNumber_Multiply_xfloat_object
static PyObject* __Pyx_PyNumber_Multiply_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);
            int_op2 = (double) compact_op2;
        } else
        #endif
        {
            int_op2 = PyLong_AsDouble(op2);
            if (unlikely((int_op2 == -1.) && PyErr_Occurred())) return NULL;
        }
        double float_op1 = __Pyx_PyFloat_AS_DOUBLE(op1);
        #if !CYTHON_ASSUME_SAFE_MACROS
        if (unlikely((float_op1 == -1.) && PyErr_Occurred())) return NULL;
        #endif
        if (float_op1 == 0.) return __Pyx_NewRef(op1);
        return PyFloat_FromDouble(float_op1 * int_op2);
    }
    if (PyLong_Check(op2)) {
        binaryfunc slot_func = __Pyx_PyType_GetSubSlot(&PyFloat_Type, tp_as_number, nb_multiply, 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_multiply, binaryfunc);
        if (likely(slot_func)) {
            PyObject *result = slot_func(op1, op2);
            if (likely(result != Py_NotImplemented)) {
                return result;
            }
            Py_DECREF(result);
        }
        __Pyx_BinopTypeError(op1, op2, "*", inplace);
        return NULL;
    }
    #else
    return (inplace) ? PyNumber_InPlaceMultiply(op1, op2) : PyNumber_Multiply(op1, op2);
    #endif
}
#endif
#ifndef __Pyx_DEFINED_PyNumber_Multiply_xint_object
#define __Pyx_DEFINED_PyNumber_Multiply_xint_object
static PyObject* __Pyx_PyNumber_Multiply_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);
            int_op1 = (double) compact_op1;
        } else
        #endif
        {
            int_op1 = PyLong_AsDouble(op1);
            if (unlikely((int_op1 == -1.) && PyErr_Occurred())) return NULL;
        }
        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_multiply, binaryfunc);
        if (likely(slot_func)) {
            PyObject *result = slot_func(op1, op2);
            if (likely(result != Py_NotImplemented)) {
                return result;
            }
            Py_DECREF(result);
        }
        ssizeargfunc repeat_func = __Pyx_PyType_GetSubSlot(type_op2, tp_as_sequence, sq_repeat, ssizeargfunc);
        if (likely(repeat_func)) {
            Py_ssize_t count;
            #if CYTHON_USE_PYLONG_INTERNALS
            if (__Pyx_PyLong_IsCompact(op1)) {
                count = __Pyx_PyLong_CompactValue(op1);
            } else
            #endif
            {
                count = PyLong_AsSsize_t(op1);
                if (unlikely((count == -1) && PyErr_Occurred())) return NULL;
            }
            return repeat_func(op2, count);
        }
        __Pyx_BinopTypeError(op1, op2, "*", inplace);
        return NULL;
    }
    #else
    return (inplace) ? PyNumber_InPlaceMultiply(op1, op2) : PyNumber_Multiply(op1, op2);
    #endif
}
#endif
static CYTHON_INLINE PyObject* __Pyx__PyNumber_Multiply_object_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_Multiply_xfloat_object(op1, op2, inplace);
    }
    if (PyLong_CheckExact(op1)) {
        if (PyLong_CheckExact(op2)) {
            #if CYTHON_USE_PYLONG_INTERNALS
            if (__Pyx_PyLong_IsCompact(op1)) {
                long long int_op1 = (long long) __Pyx_PyLong_CompactValue(op1);
                if (int_op1 == 0) return __Pyx_NewRef(op1);
                if (__Pyx_PyLong_IsCompact(op2)) {
                    long long int_op2 = (long long) __Pyx_PyLong_CompactValue(op2);
                    if (int_op2 == 0) return __Pyx_NewRef(op2);
                    return PyLong_FromLongLong(int_op1 * int_op2);
                }
            }
            else if (__Pyx_PyLong_IsZero(op2)) return __Pyx_NewRef(op2);
            #endif
            binaryfunc slot_func = __Pyx_PyType_GetSubSlot(&PyLong_Type, tp_as_number, nb_multiply, binaryfunc);
            if (likely(slot_func)) {
                return slot_func(op1, op2);
            }
        }
        return __Pyx_PyNumber_Multiply_xint_object(op1, op2, inplace);
    }
    return (inplace) ? PyNumber_InPlaceMultiply(op1, op2) : PyNumber_Multiply(op1, op2);
}
#endif
 
/* PyFloatBinop */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyFloat_AddObjC(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check) {
    const double b = floatval;
    double a;
    CYTHON_UNUSED_VAR(inplace);
    CYTHON_UNUSED_VAR(zerodivision_check);
    if (likely(PyFloat_CheckExact(op1))) {
        a = __Pyx_PyFloat_AS_DOUBLE(op1);
        
    } else
    if (likely(PyLong_CheckExact(op1))) {
        #if CYTHON_USE_PYLONG_INTERNALS
        if (__Pyx_PyLong_IsZero(op1)) {
            a = 0.0;
            
            goto digits_done;
        } else if (__Pyx_PyLong_IsCompact(op1)) {
            a = (double) __Pyx_PyLong_CompactValue(op1);
            goto digits_done;
        } else {
            const digit* digits = __Pyx_PyLong_Digits(op1);
            const Py_ssize_t size = __Pyx_PyLong_DigitCount(op1);
            if (size <= 2 && (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (1 * PyLong_SHIFT < 53)))) {
                a = (double) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                if ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                    if (__Pyx_PyLong_IsNeg(op1)) a = -a;
                    goto digits_done;
                }
            }
            if (size <= 3 && (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53)))) {
                a = (double) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                if ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                    if (__Pyx_PyLong_IsNeg(op1)) a = -a;
                    goto digits_done;
                }
            }
            if (size <= 4 && (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53)))) {
                a = (double) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                if ((8 * sizeof(unsigned long) < 53) || (4 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                    if (__Pyx_PyLong_IsNeg(op1)) a = -a;
                    goto digits_done;
                }
            }
        }
        #endif
            a = PyLong_AsDouble(op1);
            if (unlikely(a == -1.0 && PyErr_Occurred())) return NULL;
    } else {
        return (inplace ? PyNumber_InPlaceAdd : PyNumber_Add)(op1, op2);
    }
#if CYTHON_USE_PYLONG_INTERNALS
digits_done:;
#endif
        double result;
        result = a + b;
        return PyFloat_FromDouble(result);
}
#endif
 
/* GetBuiltinName (used by GetModuleGlobalName) */
static PyObject *__Pyx_GetBuiltinName(PyObject *name) {
    PyObject* result = __Pyx_PyObject_GetAttrStrNoError(__pyx_mstate_global->__pyx_b, name);
    if (unlikely(!result) && !PyErr_Occurred()) {
        PyErr_Format(PyExc_NameError,
            "name '%U' is not defined", name);
    }
    return result;
}
 
/* PyDictVersioning (used by GetModuleGlobalName) */
#if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj) {
    PyObject *dict = Py_TYPE(obj)->tp_dict;
    return likely(dict) ? __PYX_GET_DICT_VERSION(dict) : 0;
}
static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj) {
    PyObject **dictptr = NULL;
    Py_ssize_t offset = Py_TYPE(obj)->tp_dictoffset;
    if (offset) {
#if CYTHON_COMPILING_IN_CPYTHON
        dictptr = (likely(offset > 0)) ? (PyObject **) ((char *)obj + offset) : _PyObject_GetDictPtr(obj);
#else
        dictptr = _PyObject_GetDictPtr(obj);
#endif
    }
    return (dictptr && *dictptr) ? __PYX_GET_DICT_VERSION(*dictptr) : 0;
}
static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version) {
    PyObject *dict = Py_TYPE(obj)->tp_dict;
    if (unlikely(!dict) || unlikely(tp_dict_version != __PYX_GET_DICT_VERSION(dict)))
        return 0;
    return obj_dict_version == __Pyx_get_object_dict_version(obj);
}
#endif
 
/* GetModuleGlobalName */
#if CYTHON_USE_DICT_VERSIONS
static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value)
#else
static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name)
#endif
{
    PyObject *result;
#if CYTHON_COMPILING_IN_LIMITED_API
    if (unlikely(!__pyx_m)) {
        if (!PyErr_Occurred())
            PyErr_SetNone(PyExc_NameError);
        return NULL;
    }
    result = PyObject_GetAttr(__pyx_m, name);
    if (likely(result)) {
        return result;
    }
    if (!__Pyx_IgnoreException(PyExc_Exception)) {
        return NULL; // BaseException
    }
#elif CYTHON_AVOID_BORROWED_REFS || CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS
    if (unlikely(__Pyx_PyDict_GetItemRef(__pyx_mstate_global->__pyx_d, name, &result) == -1)) {
        if (!__Pyx_IgnoreException(PyExc_Exception)) {
            return NULL; // BaseException
        }
    }
    __PYX_UPDATE_DICT_CACHE(__pyx_mstate_global->__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return result;
    }
#else
    result = _PyDict_GetItem_KnownHash(__pyx_mstate_global->__pyx_d, name, ((PyASCIIObject *) name)->hash);
    __PYX_UPDATE_DICT_CACHE(__pyx_mstate_global->__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    }
    PyObject *exc = PyErr_Occurred();
    if (unlikely(exc) && !__Pyx_IgnoreGivenException(exc, PyExc_Exception)) {
        return NULL; // BaseException
    }
#endif
    return __Pyx_GetBuiltinName(name);
}
 
/* ExtTypeTest */
static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type) {
    if (unlikely(!type)) {
        PyErr_SetString(PyExc_SystemError, "Missing type object");
        return 0;
    }
    if (likely(__Pyx_TypeCheck(obj, type)))
        return 1;
    __Pyx_RaiseTypeErrorWithTypes(
        "Cannot convert " __Pyx_FMT_TYPENAME " to " __Pyx_FMT_TYPENAME,
        Py_TYPE(obj), type);
    return 0;
}
 
/* PyObjectCompare */
#ifndef __Pyx_DEFINED_PyObject_CompareFloatIntBoolEq
#define __Pyx_DEFINED_PyObject_CompareFloatIntBoolEq
static int __Pyx_PyObject_CompareFloatIntBoolEq(PyObject *op1, PyObject *op2) {
    double float_op1 = __Pyx_PyFloat_AS_DOUBLE(op1);
    #if !CYTHON_ASSUME_SAFE_MACROS
    if (unlikely(float_op1 == -1. && PyErr_Occurred())) return -1;
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (__Pyx_PyLong_IsCompact(op2)) {
        Py_ssize_t iop2 = __Pyx_PyLong_CompactValue(op2);
        if (float_op1 == ((double)iop2)) goto __pyx_return_true; else goto __pyx_return_false;
    }
    if (unlikely(!isfinite(float_op1))) {
        if (float_op1 == 0.0) goto __pyx_return_true; else goto __pyx_return_false;
    } else {
        int sign2 = __Pyx_PyLong_Sign(op2);
        if (float_op1 >= 0.) {
            if (sign2 < 0) goto __pyx_return_false;
            if (float_op1 < (double) (1L << PyLong_SHIFT)) goto __pyx_return_false;
        } else {
            if (sign2 > 0) goto __pyx_return_false;
            if (float_op1 > -(double) (1L << PyLong_SHIFT)) goto __pyx_return_false;
        }
    }
    #else
    if (unlikely(!isfinite(float_op1))) {
        if (float_op1 == 0.0) goto __pyx_return_true; else goto __pyx_return_false;
    } else {
        int overflow2;
        long iop2 = PyLong_AsLongAndOverflow(op2, &overflow2);
        if (likely(!overflow2)) {
            if ((long long) iop2 >= (1LL << 53)) {
                overflow2 = 1;
            } else if ((long long) iop2 <= - (1LL << 53)) {
                overflow2 = -1;
            } else {
                if (float_op1 == ((double) iop2)) goto __pyx_return_true; else goto __pyx_return_false;
            }
        }
        if (overflow2 > 0) {
            if (float_op1 < ((double) (1LL << 53))) goto __pyx_return_false;
        } else {
            if (float_op1 > - ((double) (1LL << 53))) goto __pyx_return_false;
        }
    }
    #endif
    return __Pyx_PyObject_RichCompareBool(op1, op2, Py_EQ);
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}
#endif
#ifndef __Pyx_DEFINED_PyObject_CompareIntIntBoolEq
#define __Pyx_DEFINED_PyObject_CompareIntIntBoolEq
static int __Pyx_PyObject_CompareIntIntBoolEq(PyObject *op1, PyObject *op2) {
#if CYTHON_USE_PYLONG_INTERNALS
    Py_ssize_t cmp = __Pyx_PyLong_CompareSignAndSize(op1, op2);
    if (cmp == 0) {
        Py_ssize_t size = __Pyx_PyLong_DigitCount(op1);
        if (size > 0) {
            const digit* digits1 = __Pyx_PyLong_Digits(op1);
            const digit* digits2 = __Pyx_PyLong_Digits(op2);
            if (size == 1) {
                cmp = (Py_ssize_t) digits1[0] - (Py_ssize_t) digits2[0];
            } else if ((size == 2) && (8 * sizeof(Py_ssize_t) >= 2 * PyLong_SHIFT)) {
                cmp = (Py_ssize_t) (((((size_t)digits1[1]) << PyLong_SHIFT) | (size_t)digits1[0])) - (Py_ssize_t) (((((size_t)digits2[1]) << PyLong_SHIFT) | (size_t)digits2[0]));
            } else {
                for (Py_ssize_t i=size-1; i >= 0 && !cmp; --i) {
                    cmp = (Py_ssize_t) digits1[i] - (Py_ssize_t) digits2[i];
                }
            }
        }
        if (cmp == 0) goto __pyx_return_true;
        if (__Pyx_PyLong_IsNeg(op1)) cmp = -cmp;
    }
    goto __pyx_return_false;
#else
    int overflow1, overflow2;
    long long iop1 = PyLong_AsLongLongAndOverflow(op1, &overflow1);
    long long iop2 = PyLong_AsLongLongAndOverflow(op2, &overflow2);
    if (likely(!(overflow1 | overflow2))) {
        if (iop1 == iop2) goto __pyx_return_true; else goto __pyx_return_false;
    } else if (overflow1 != overflow2) {
        if (overflow1 == overflow2) goto __pyx_return_true; else goto __pyx_return_false;
    } else {
        return __Pyx_PyObject_RichCompareBool(op1, op2, Py_EQ);
    }
#endif
__pyx_return_true:
    return 1;
__pyx_return_false:
    return 0;
}
#endif
static CYTHON_INLINE int __Pyx_PyObject_CompareBoolEq_object_int(PyObject *op1, PyObject *op2, int pyop) {
    CYTHON_UNUSED_VAR(pyop);
    if (unlikely(op2 == Py_None)) {
        if (op1 == Py_None) goto __pyx_return_true; else goto __pyx_richcmp;
    }
    if (op1 == op2) goto __pyx_return_true;
    if (PyFloat_CheckExact(op1)) {
        if (likely(op2 != Py_None)) {
            return __Pyx_PyObject_CompareFloatIntBoolEq(op1, op2);
        }
        goto __pyx_richcmp;
    }
    if (likely(PyLong_CheckExact(op1))) {
        if (op1 == op2) goto __pyx_return_true;
        if (likely(op2 != Py_None)) {
            return __Pyx_PyObject_CompareIntIntBoolEq(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;
}
 
/* PyNumberBinop */
#if !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL || CYTHON_COMPILING_IN_LIMITED_API)
#if CYTHON_USE_TYPE_SLOTS || __PYX_LIMITED_VERSION_HEX >= 0x030A0000
#ifndef __Pyx_DEFINED_BinopTypeError
#define __Pyx_DEFINED_BinopTypeError
static void __Pyx_BinopTypeError(PyObject *op1, PyObject *op2, const char* op, int inplace) {
    char opname[4] = {op[0], op[1], 0, 0};
    if (inplace) {
        opname[op[1] ? 2 : 1] = '=';
    }
    __Pyx_RaiseErrorWithObjectTypes1(
        PyExc_TypeError,
        "unsupported operand type(s) for %.3s: '" __Pyx_FMT_TYPENAME "' and '" __Pyx_FMT_TYPENAME "'",
        opname, op1, op2);
}
#endif
#endif
#ifndef __Pyx_DEFINED_PyNumber_Multiply_xfloat_float
#define __Pyx_DEFINED_PyNumber_Multiply_xfloat_float
static PyObject* __Pyx_PyNumber_Multiply_xfloat_float(PyObject *op1, PyObject *op2, int inplace) {
    #if CYTHON_USE_TYPE_SLOTS || __PYX_LIMITED_VERSION_HEX >= 0x030A0000
    {
        PyTypeObject *type_op2 = Py_TYPE(op2);
        binaryfunc slot_func = __Pyx_PyType_GetSubSlot(type_op2, tp_as_number, nb_multiply, binaryfunc);
        if (likely(slot_func)) {
            PyObject *result = slot_func(op1, op2);
            if (likely(result != Py_NotImplemented)) {
                return result;
            }
            Py_DECREF(result);
        }
        __Pyx_BinopTypeError(op1, op2, "*", inplace);
        return NULL;
    }
    #else
    return (inplace) ? PyNumber_InPlaceMultiply(op1, op2) : PyNumber_Multiply(op1, op2);
    #endif
}
#endif
#ifndef __Pyx_DEFINED_PyNumber_Multiply_xint_float
#define __Pyx_DEFINED_PyNumber_Multiply_xint_float
static PyObject* __Pyx_PyNumber_Multiply_xint_float(PyObject *op1, PyObject *op2, int inplace) {
    if (likely(op2 != Py_None)) {
        double int_op1;
        #if CYTHON_USE_PYLONG_INTERNALS
        if (__Pyx_PyLong_IsCompact(op1)) {
            Py_ssize_t compact_op1 = __Pyx_PyLong_CompactValue(op1);
            int_op1 = (double) compact_op1;
        } else
        #endif
        {
            int_op1 = PyLong_AsDouble(op1);
            if (unlikely((int_op1 == -1.) && PyErr_Occurred())) return NULL;
        }
        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_multiply, binaryfunc);
        if (likely(slot_func)) {
            PyObject *result = slot_func(op1, op2);
            if (likely(result != Py_NotImplemented)) {
                return result;
            }
            Py_DECREF(result);
        }
        ssizeargfunc repeat_func = __Pyx_PyType_GetSubSlot(type_op2, tp_as_sequence, sq_repeat, ssizeargfunc);
        if (likely(repeat_func)) {
            Py_ssize_t count;
            #if CYTHON_USE_PYLONG_INTERNALS
            if (__Pyx_PyLong_IsCompact(op1)) {
                count = __Pyx_PyLong_CompactValue(op1);
            } else
            #endif
            {
                count = PyLong_AsSsize_t(op1);
                if (unlikely((count == -1) && PyErr_Occurred())) return NULL;
            }
            return repeat_func(op2, count);
        }
        __Pyx_BinopTypeError(op1, op2, "*", inplace);
        return NULL;
    }
    #else
    return (inplace) ? PyNumber_InPlaceMultiply(op1, op2) : PyNumber_Multiply(op1, op2);
    #endif
}
#endif
static CYTHON_INLINE PyObject* __Pyx__PyNumber_Multiply_object_float(PyObject *op1, PyObject *op2, int inplace) {
    if (likely(PyFloat_CheckExact(op1))) {
        if (likely(op2 != Py_None)) {
            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_Multiply_xfloat_float(op1, op2, inplace);
    }
    if (PyLong_CheckExact(op1)) {
        return __Pyx_PyNumber_Multiply_xint_float(op1, op2, inplace);
    }
    return (inplace) ? PyNumber_InPlaceMultiply(op1, op2) : PyNumber_Multiply(op1, op2);
}
#endif
 
/* PyNumberBinop */
#if !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL || CYTHON_COMPILING_IN_LIMITED_API)
#if CYTHON_USE_TYPE_SLOTS || __PYX_LIMITED_VERSION_HEX >= 0x030A0000
#ifndef __Pyx_DEFINED_BinopTypeError
#define __Pyx_DEFINED_BinopTypeError
static void __Pyx_BinopTypeError(PyObject *op1, PyObject *op2, const char* op, int inplace) {
    char opname[4] = {op[0], op[1], 0, 0};
    if (inplace) {
        opname[op[1] ? 2 : 1] = '=';
    }
    __Pyx_RaiseErrorWithObjectTypes1(
        PyExc_TypeError,
        "unsupported operand type(s) for %.3s: '" __Pyx_FMT_TYPENAME "' and '" __Pyx_FMT_TYPENAME "'",
        opname, op1, op2);
}
#endif
#endif
#ifndef __Pyx_DEFINED_PyNumber_Subtract_xfloat_object
#define __Pyx_DEFINED_PyNumber_Subtract_xfloat_object
static PyObject* __Pyx_PyNumber_Subtract_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_subtract, 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_subtract, 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_InPlaceSubtract(op1, op2) : PyNumber_Subtract(op1, op2);
    #endif
}
#endif
static CYTHON_INLINE PyObject* __Pyx__PyNumber_Subtract_float_object(PyObject *op1, PyObject *op2, int inplace) {
    if (likely(op1 != Py_None)) {
        if (likely(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_Subtract_xfloat_object(op1, op2, inplace);
    }
    return (inplace) ? PyNumber_InPlaceSubtract(op1, op2) : PyNumber_Subtract(op1, op2);
}
#endif
 
/* PyNumberBinop */
#if !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_GRAAL || CYTHON_COMPILING_IN_LIMITED_API)
#if CYTHON_USE_TYPE_SLOTS || __PYX_LIMITED_VERSION_HEX >= 0x030A0000
#ifndef __Pyx_DEFINED_BinopTypeError
#define __Pyx_DEFINED_BinopTypeError
static void __Pyx_BinopTypeError(PyObject *op1, PyObject *op2, const char* op, int inplace) {
    char opname[4] = {op[0], op[1], 0, 0};
    if (inplace) {
        opname[op[1] ? 2 : 1] = '=';
    }
    __Pyx_RaiseErrorWithObjectTypes1(
        PyExc_TypeError,
        "unsupported operand type(s) for %.3s: '" __Pyx_FMT_TYPENAME "' and '" __Pyx_FMT_TYPENAME "'",
        opname, op1, op2);
}
#endif
#endif
#ifndef __Pyx_DEFINED_PyNumber_Add_xfloat_float
#define __Pyx_DEFINED_PyNumber_Add_xfloat_float
static PyObject* __Pyx_PyNumber_Add_xfloat_float(PyObject *op1, PyObject *op2, int inplace) {
    #if CYTHON_USE_TYPE_SLOTS || __PYX_LIMITED_VERSION_HEX >= 0x030A0000
    {
        PyTypeObject *type_op2 = Py_TYPE(op2);
        binaryfunc slot_func = __Pyx_PyType_GetSubSlot(type_op2, tp_as_number, nb_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_float
#define __Pyx_DEFINED_PyNumber_Add_xint_float
static PyObject* __Pyx_PyNumber_Add_xint_float(PyObject *op1, PyObject *op2, int inplace) {
    if (likely(op2 != Py_None)) {
        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_float(PyObject *op1, PyObject *op2, int inplace) {
    if (likely(PyFloat_CheckExact(op1))) {
        if (likely(op2 != Py_None)) {
            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_float(op1, op2, inplace);
    }
    if (PyLong_CheckExact(op1)) {
        return __Pyx_PyNumber_Add_xint_float(op1, op2, inplace);
    }
    return (inplace) ? PyNumber_InPlaceAdd(op1, op2) : PyNumber_Add(op1, op2);
}
#endif
 
/* pybytes_as_double (used by pyobject_as_double) */
static double __Pyx_SlowPyString_AsDouble(PyObject *obj) {
    PyObject *float_value = PyFloat_FromString(obj);
    if (likely(float_value)) {
        double value = __Pyx_PyFloat_AS_DOUBLE(float_value);
        Py_DECREF(float_value);
        return value;
    }
    return (double)-1;
}
static const char* __Pyx__PyBytes_AsDouble_Copy(const char* start, char* buffer, Py_ssize_t length) {
    int last_was_punctuation = 1;
    int parse_error_found = 0;
    Py_ssize_t i;
    for (i=0; i < length; i++) {
        char chr = start[i];
        int is_punctuation = (chr == '_') | (chr == '.') | (chr == 'e') | (chr == 'E');
        *buffer = chr;
        buffer += (chr != '_');
        parse_error_found |= last_was_punctuation & is_punctuation;
        last_was_punctuation = is_punctuation;
    }
    parse_error_found |= last_was_punctuation;
    *buffer = '\0';
    return unlikely(parse_error_found) ? NULL : buffer;
}
static double __Pyx__PyBytes_AsDouble_inf_nan(const char* start, Py_ssize_t length) {
    int matches = 1;
    char sign = start[0];
    int is_signed = (sign == '+') | (sign == '-');
    start += is_signed;
    length -= is_signed;
    switch (start[0]) {
        #ifdef Py_NAN
        case 'n':
        case 'N':
            if (unlikely(length != 3)) goto parse_failure;
            matches &= (start[1] == 'a' || start[1] == 'A');
            matches &= (start[2] == 'n' || start[2] == 'N');
            if (unlikely(!matches)) goto parse_failure;
            return (sign == '-') ? -Py_NAN : Py_NAN;
        #endif
        case 'i':
        case 'I':
            if (unlikely(length < 3)) goto parse_failure;
            matches &= (start[1] == 'n' || start[1] == 'N');
            matches &= (start[2] == 'f' || start[2] == 'F');
            if (likely(length == 3 && matches))
                return (sign == '-') ? -Py_HUGE_VAL : Py_HUGE_VAL;
            if (unlikely(length != 8)) goto parse_failure;
            matches &= (start[3] == 'i' || start[3] == 'I');
            matches &= (start[4] == 'n' || start[4] == 'N');
            matches &= (start[5] == 'i' || start[5] == 'I');
            matches &= (start[6] == 't' || start[6] == 'T');
            matches &= (start[7] == 'y' || start[7] == 'Y');
            if (unlikely(!matches)) goto parse_failure;
            return (sign == '-') ? -Py_HUGE_VAL : Py_HUGE_VAL;
        case '.': case '0': case '1': case '2': case '3': case '4': case '5': case '6': case '7': case '8': case '9':
            break;
        default:
            goto parse_failure;
    }
    return 0.0;
parse_failure:
    return -1.0;
}
static CYTHON_INLINE int __Pyx__PyBytes_AsDouble_IsSpace(char ch) {
    return (ch == 0x20) | !((ch < 0x9) | (ch > 0xd));
}
CYTHON_UNUSED static double __Pyx__PyBytes_AsDouble(PyObject *obj, const char* start, Py_ssize_t length) {
    double value;
    Py_ssize_t i, digits;
    const char *last = start + length;
    char *end;
    int valid_parse;
    while (__Pyx__PyBytes_AsDouble_IsSpace(*start))
        start++;
    while (start < last - 1 && __Pyx__PyBytes_AsDouble_IsSpace(last[-1]))
        last--;
    length = last - start;
    if (unlikely(length <= 0)) goto fallback;
    value = __Pyx__PyBytes_AsDouble_inf_nan(start, length);
    if (value != 0.0) {
        if (unlikely(value == -1.0)) goto fallback;
        return value;
    }
    digits = 0;
    for (i=0; i < length; digits += start[i++] != '_');
    if (likely(digits == length)) {
        value = PyOS_string_to_double(start, &end, NULL);
        valid_parse = (end == last);
    } else if (digits < 40) {
        char number[40];
        last = __Pyx__PyBytes_AsDouble_Copy(start, number, length);
        if (unlikely(!last)) goto fallback;
        value = PyOS_string_to_double(number, &end, NULL);
        valid_parse = (end == last);
    } else {
        char *number = (char*) PyMem_Malloc(((size_t) digits + 1) * sizeof(char));
        if (unlikely(!number)) goto fallback;
        last = __Pyx__PyBytes_AsDouble_Copy(start, number, length);
        if (unlikely(!last)) {
            PyMem_Free(number);
            goto fallback;
        }
        value = PyOS_string_to_double(number, &end, NULL);
        valid_parse = (end == last);
        PyMem_Free(number);
    }
    if (likely(valid_parse) || (value == (double)-1 && PyErr_Occurred())) {
        return value;
    }
fallback:
    return __Pyx_SlowPyString_AsDouble(obj);
}
 
/* pyobject_as_double */
static double __Pyx__PyObject_AsDouble(PyObject* obj) {
    if (PyUnicode_CheckExact(obj)) {
        return __Pyx_PyUnicode_AsDouble(obj);
    } else if (PyBytes_CheckExact(obj)) {
        return __Pyx_PyBytes_AsDouble(obj);
    } else if (PyByteArray_CheckExact(obj)) {
        return __Pyx_PyByteArray_AsDouble(obj);
    } else {
        PyObject* float_value;
#if !CYTHON_USE_TYPE_SLOTS
        float_value = PyNumber_Float(obj);  if ((0)) goto bad;
        (void)__Pyx_PyObject_CallOneArg;
#else
        PyNumberMethods *nb = Py_TYPE(obj)->tp_as_number;
        if (likely(nb) && likely(nb->nb_float)) {
            float_value = nb->nb_float(obj);
            if (likely(float_value) && unlikely(!PyFloat_Check(float_value))) {
                __Pyx_RaiseTypeErrorWithObjectType(
                    "__float__ returned non-float (type " __Pyx_FMT_TYPENAME ")",
                    float_value);
                Py_DECREF(float_value);
                goto bad;
            }
        } else {
            float_value = __Pyx_PyObject_CallOneArg((PyObject*)&PyFloat_Type, obj);
        }
#endif
        if (likely(float_value)) {
            double value = __Pyx_PyFloat_AS_DOUBLE(float_value);
            Py_DECREF(float_value);
            return value;
        }
    }
bad:
    return (double)-1;
}
 
/* TypeImport */
#ifndef __PYX_HAVE_RT_ImportType_3_3_0
#define __PYX_HAVE_RT_ImportType_3_3_0
static PyTypeObject *__Pyx_ImportType_3_3_0(PyObject *module, const char *module_name, const char *class_name,
    size_t size, size_t alignment, enum __Pyx_ImportType_CheckSize_3_3_0 check_size)
{
    PyObject *result = 0;
    Py_ssize_t basicsize;
    Py_ssize_t itemsize;
#if defined(Py_LIMITED_API) || (defined(CYTHON_COMPILING_IN_LIMITED_API) && CYTHON_COMPILING_IN_LIMITED_API)
    PyObject *py_basicsize;
    PyObject *py_itemsize;
#endif
    result = PyObject_GetAttrString(module, class_name);
    if (!result)
        goto bad;
    if (!PyType_Check(result)) {
        PyErr_Format(PyExc_TypeError,
            "%.200s.%.200s is not a type object",
            module_name, class_name);
        goto bad;
    }
#if !( defined(Py_LIMITED_API) || (defined(CYTHON_COMPILING_IN_LIMITED_API) && CYTHON_COMPILING_IN_LIMITED_API) )
    basicsize = ((PyTypeObject *)result)->tp_basicsize;
    itemsize = ((PyTypeObject *)result)->tp_itemsize;
#else
    if (size == 0) {
        return (PyTypeObject *)result;
    }
    py_basicsize = PyObject_GetAttrString(result, "__basicsize__");
    if (!py_basicsize)
        goto bad;
    basicsize = PyLong_AsSsize_t(py_basicsize);
    Py_DECREF(py_basicsize);
    py_basicsize = 0;
    if (basicsize == (Py_ssize_t)-1 && PyErr_Occurred())
        goto bad;
    py_itemsize = PyObject_GetAttrString(result, "__itemsize__");
    if (!py_itemsize)
        goto bad;
    itemsize = PyLong_AsSsize_t(py_itemsize);
    Py_DECREF(py_itemsize);
    py_itemsize = 0;
    if (itemsize == (Py_ssize_t)-1 && PyErr_Occurred())
        goto bad;
#endif
    if (itemsize) {
        if (size % alignment) {
            alignment = size % alignment;
        }
        if (itemsize < (Py_ssize_t)alignment)
            itemsize = (Py_ssize_t)alignment;
    }
    if ((size_t)(basicsize + itemsize) < size) {
        PyErr_Format(PyExc_ValueError,
            "%.200s.%.200s size changed, may indicate binary incompatibility. "
            "Expected %zd from C header, got %zd from PyObject",
            module_name, class_name, size, basicsize+itemsize);
        goto bad;
    }
    if (check_size == __Pyx_ImportType_CheckSize_Error_3_3_0 &&
            ((size_t)basicsize > size || (size_t)(basicsize + itemsize) < size)) {
        PyErr_Format(PyExc_ValueError,
            "%.200s.%.200s size changed, may indicate binary incompatibility. "
            "Expected %zd from C header, got %zd-%zd from PyObject",
            module_name, class_name, size, basicsize, basicsize+itemsize);
        goto bad;
    }
    else if (check_size == __Pyx_ImportType_CheckSize_Warn_3_3_0 && (size_t)basicsize > size) {
        if (PyErr_WarnFormat(NULL, 0,
                "%.200s.%.200s size changed, may indicate binary incompatibility. "
                "Expected %zd from C header, got %zd from PyObject",
                module_name, class_name, size, basicsize) < 0) {
            goto bad;
        }
    }
    return (PyTypeObject *)result;
bad:
    Py_XDECREF(result);
    return NULL;
}
#endif
 
/* HasAttr (used by ImportImpl) */
#if __PYX_LIMITED_VERSION_HEX < 0x030d0000
static CYTHON_INLINE int __Pyx_HasAttr(PyObject *o, PyObject *n) {
    PyObject *r;
    if (unlikely(!PyUnicode_Check(n))) {
        PyErr_SetString(PyExc_TypeError,
                        "hasattr(): attribute name must be string");
        return -1;
    }
    r = __Pyx_PyObject_GetAttrStrNoError(o, n);
    if (!r) {
        return (unlikely(PyErr_Occurred())) ? -1 : 0;
    } else {
        Py_DECREF(r);
        return 1;
    }
}
#endif
 
/* TupleOrListFromArrayImpl (used by ListFromArray) */
CYTHON_UNUSED static PyObject *
__Pyx_PyList_FromArray(PyObject *const *src, Py_ssize_t n) {
    PyObject *res = PyList_New(n);
    if (unlikely(res == NULL)) return NULL;
    #if CYTHON_COMPILING_IN_CPYTHON
    __Pyx_copy_object_array(src, ((PyListObject*)res)->ob_item, n);
    #else
    Py_ssize_t i;
    for (i = 0; i < n; i++) {
        Py_INCREF(src[i]);
        if (unlikely(__Pyx_PyList_SET_ITEM(res, i, src[i]) < (0))) {
            Py_DECREF(res);
            return NULL;
        }
    }
    #endif
    return res;
}
 
/* ImportImpl (used by Import) */
static int __Pyx__Import_GetModule(PyObject *qualname, PyObject **module) {
    PyObject *imported_module = PyImport_GetModule(qualname);
    if (unlikely(!imported_module)) {
        *module = NULL;
        if (PyErr_Occurred()) {
            return -1;
        }
        return 0;
    }
    *module = imported_module;
    return 1;
}
static int __Pyx__Import_Lookup(PyObject *qualname, PyObject *const *imported_names, Py_ssize_t len_imported_names, PyObject **module) {
    PyObject *imported_module;
    PyObject *top_level_package_name;
    Py_ssize_t i;
    int status, module_found;
    Py_ssize_t dot_index;
    module_found = __Pyx__Import_GetModule(qualname, &imported_module);
    if (unlikely(!module_found || module_found == -1)) {
        *module = NULL;
        return module_found;
    }
    if (imported_names) {
        for (i = 0; i < len_imported_names; i++) {
            PyObject *imported_name = imported_names[i];
#if __PYX_LIMITED_VERSION_HEX < 0x030d0000
            int has_imported_attribute = PyObject_HasAttr(imported_module, imported_name);
#else
            int has_imported_attribute = PyObject_HasAttrWithError(imported_module, imported_name);
            if (unlikely(has_imported_attribute == -1)) goto error;
#endif
            if (!has_imported_attribute) {
                goto not_found;
            }
        }
        *module = imported_module;
        return 1;
    }
    dot_index = PyUnicode_FindChar(qualname, '.', 0, PY_SSIZE_T_MAX, 1);
    if (dot_index == -1) {
        *module = imported_module;
        return 1;
    }
    if (unlikely(dot_index == -2)) goto error;
    top_level_package_name = PyUnicode_Substring(qualname, 0, dot_index);
    if (unlikely(!top_level_package_name)) goto error;
    Py_DECREF(imported_module);
    status = __Pyx__Import_GetModule(top_level_package_name, module);
    Py_DECREF(top_level_package_name);
    return status;
error:
    Py_DECREF(imported_module);
    *module = NULL;
    return -1;
not_found:
    Py_DECREF(imported_module);
    *module = NULL;
    return 0;
}
static PyObject *__Pyx__Import(PyObject *name, PyObject *const *imported_names, Py_ssize_t len_imported_names, PyObject *qualname, PyObject *moddict, int level) {
    PyObject *module = 0;
    PyObject *empty_dict = 0;
    PyObject *from_list = 0;
    int module_found;
    if (!qualname) {
        qualname = name;
    }
    module_found = __Pyx__Import_Lookup(qualname, imported_names, len_imported_names, &module);
    if (likely(module_found == 1)) {
        return module;
    } else if (unlikely(module_found == -1)) {
        return NULL;
    }
    #if !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x030f00a6
    empty_dict = PyFrozenDict_New(NULL);
    #else
    empty_dict = PyDict_New();
    #endif
    if (unlikely(!empty_dict))
        goto bad;
    if (imported_names) {
        from_list = __Pyx_PyList_FromArray(imported_names, len_imported_names);
        if (unlikely(!from_list))
            goto bad;
    }
    if (level == -1) {
        const char* package_sep = strchr(__Pyx_MODULE_NAME, '.');
        if (package_sep != (0)) {
            module = PyImport_ImportModuleLevelObject(
                name, moddict, empty_dict, from_list, 1);
            if (unlikely(!module)) {
                if (unlikely(!PyErr_ExceptionMatches(PyExc_ImportError)))
                    goto bad;
                PyErr_Clear();
            }
        }
        level = 0;
    }
    if (!module) {
        module = PyImport_ImportModuleLevelObject(
            name, moddict, empty_dict, from_list, level);
    }
bad:
    Py_XDECREF(from_list);
    Py_XDECREF(empty_dict);
    return module;
}
 
/* Import */
static PyObject *__Pyx_Import(PyObject *name, PyObject *const *imported_names, Py_ssize_t len_imported_names, PyObject *qualname, int level) {
    return __Pyx__Import(name, imported_names, len_imported_names, qualname, __pyx_mstate_global->__pyx_d, level);
}
 
/* dict_setdefault (used by FetchCommonType) */
static CYTHON_INLINE PyObject *__Pyx_PyDict_SetDefault(PyObject *d, PyObject *key, PyObject *default_value) {
    PyObject* value;
#if __PYX_LIMITED_VERSION_HEX >= 0x030F0000 || (!CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x030d00A4)
    PyDict_SetDefaultRef(d, key, default_value, &value);
#elif CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX >= 0x030C0000
    PyObject *args[] = {d, key, default_value};
    value = PyObject_VectorcallMethod(__pyx_mstate_global->__pyx_n_u_setdefault, args, 3 | PY_VECTORCALL_ARGUMENTS_OFFSET, NULL);
#elif CYTHON_COMPILING_IN_LIMITED_API
    value = PyObject_CallMethodObjArgs(d, __pyx_mstate_global->__pyx_n_u_setdefault, key, default_value, NULL);
#else
    value = PyDict_SetDefault(d, key, default_value);
    if (unlikely(!value)) return NULL;
    Py_INCREF(value);
#endif
    return value;
}
 
/* AddModuleRef (used by FetchSharedCythonModule) */
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING && PY_VERSION_HEX < 0x030F00a3
  static PyObject *__Pyx_PyImport_AddModuleObjectRef(PyObject *name) {
      PyObject *module_dict = PyImport_GetModuleDict();
      PyObject *m;
      if (PyMapping_GetOptionalItem(module_dict, name, &m) < 0) {
          return NULL;
      }
      if (m != NULL && PyModule_Check(m)) {
          return m;
      }
      Py_XDECREF(m);
      m = PyModule_NewObject(name);
      if (m == NULL)
          return NULL;
      if (PyDict_CheckExact(module_dict)) {
          PyObject *new_m;
          (void)PyDict_SetDefaultRef(module_dict, name, m, &new_m);
          Py_DECREF(m);
          return new_m;
      } else {
           if (PyObject_SetItem(module_dict, name, m) != 0) {
                Py_DECREF(m);
                return NULL;
            }
            return m;
      }
  }
  static PyObject *__Pyx_PyImport_AddModuleRef(const char *name) {
      if ((PY_VERSION_HEX >= 0x030E0000) &&  Py_Version >= 0x030E0100) {
          return PyImport_AddModuleRef(name);
      }
      PyObject *py_name = PyUnicode_FromString(name);
      if (!py_name) return NULL;
      PyObject *module = __Pyx_PyImport_AddModuleObjectRef(py_name);
      Py_DECREF(py_name);
      return module;
  }
#elif __PYX_LIMITED_VERSION_HEX < 0x030d0000
  static PyObject *__Pyx_PyImport_AddModuleRef(const char *name) {
      PyObject *module = PyImport_AddModule(name);
      Py_XINCREF(module);
      return module;
  }
#endif
 
/* FetchSharedCythonModule (used by FetchCommonType) */
static PyObject *__Pyx_FetchSharedCythonABIModule(void) {
    return __Pyx_PyImport_AddModuleRef(__PYX_ABI_MODULE_NAME);
}
 
/* VerifyCachedType (used by FetchCommonType) */
static int __Pyx_VerifyCachedType(PyObject *cached_type,
                               const char *name,
                               Py_ssize_t expected_basicsize) {
    Py_ssize_t basicsize;
    if (!PyType_Check(cached_type)) {
        PyErr_Format(PyExc_TypeError,
            "Shared Cython type %.200s is not a type object", name);
        return -1;
    }
    if (expected_basicsize == 0) {
        return 0; // size is inherited, nothing useful to check
    }
#if CYTHON_COMPILING_IN_LIMITED_API && CYTHON_OPAQUE_OBJECTS
    if (expected_basicsize < 0) {
        basicsize = PyType_GetTypeDataSize((PyTypeObject*)cached_type);
    } else
#endif
    {
    #if CYTHON_COMPILING_IN_LIMITED_API
        PyObject *py_basicsize;
        py_basicsize = PyObject_GetAttrString(cached_type, "__basicsize__");
        if (unlikely(!py_basicsize)) return -1;
        basicsize = PyLong_AsSsize_t(py_basicsize);
        Py_DECREF(py_basicsize);
        py_basicsize = NULL;
        if (unlikely(basicsize == (Py_ssize_t)-1) && PyErr_Occurred()) return -1;
    #else
        basicsize = ((PyTypeObject*) cached_type)->tp_basicsize;
    #endif
    }
    if ((expected_basicsize >= 0) ?
            (basicsize != expected_basicsize) :
            (basicsize < -expected_basicsize)) {
        PyErr_Format(PyExc_TypeError,
            "Shared Cython type %.200s has the wrong size, try recompiling",
            name);
        return -1;
    }
    return 0;
}
 
/* FetchCommonType (used by CommonTypesMetaclass) */
#if __PYX_LIMITED_VERSION_HEX < 0x030C0000
static PyObject* __Pyx_PyType_FromMetaclass(PyTypeObject *metaclass, PyObject *module, PyType_Spec *spec, PyObject *bases) {
    PyObject *result = __Pyx_PyType_FromModuleAndSpec(module, spec, bases);
    if (result && metaclass) {
        PyObject *old_tp = (PyObject*)Py_TYPE(result);
        Py_INCREF((PyObject*)metaclass);
        Py_SET_TYPE(result, metaclass);
        Py_DECREF(old_tp);
        PyType_Modified((PyTypeObject*)result);
    }
    return result;
}
#else
#define __Pyx_PyType_FromMetaclass(me, mo, s, b) PyType_FromMetaclass(me, mo, s, b)
#endif
static PyTypeObject *__Pyx_FetchCommonTypeFromSpec(PyTypeObject *metaclass, PyObject *module, PyType_Spec *spec, PyObject *bases) {
    PyObject *abi_module = NULL, *cached_type = NULL, *abi_module_dict, *new_cached_type, *py_object_name;
    int get_item_ref_result;
    const char* object_name = strrchr(spec->name, '.');
    object_name = object_name ? object_name+1 : spec->name;
    py_object_name = PyUnicode_FromString(object_name);
    if (!py_object_name) return NULL;
    abi_module = __Pyx_FetchSharedCythonABIModule();
    if (!abi_module) goto done;
    abi_module_dict = PyModule_GetDict(abi_module);
    if (!abi_module_dict) goto done;
    get_item_ref_result = __Pyx_PyDict_GetItemRef(abi_module_dict, py_object_name, &cached_type);
    if (get_item_ref_result == 1) {
        if (__Pyx_VerifyCachedType(
              cached_type,
              object_name,
              spec->basicsize) < 0) {
            goto bad;
        }
        goto done;
    } else if (unlikely(get_item_ref_result == -1)) {
        goto bad;
    }
    cached_type = __Pyx_PyType_FromMetaclass(
        metaclass,
        CYTHON_USE_MODULE_STATE ? module : abi_module,
        spec, bases);
    if (unlikely(!cached_type)) goto bad;
    new_cached_type = __Pyx_PyDict_SetDefault(abi_module_dict, py_object_name, cached_type);
    if (unlikely(new_cached_type != cached_type)) {
        if (unlikely(!new_cached_type)) goto bad;
        Py_DECREF(cached_type);
        cached_type = new_cached_type;
        if (__Pyx_VerifyCachedType(
                cached_type,
                object_name,
                spec->basicsize) < 0) {
            goto bad;
        }
        goto done;
    } else {
        Py_DECREF(new_cached_type);
    }
done:
    Py_XDECREF(abi_module);
    Py_DECREF(py_object_name);
    assert(cached_type == NULL || PyType_Check(cached_type));
    return (PyTypeObject *) cached_type;
bad:
    Py_XDECREF(cached_type);
    cached_type = NULL;
    goto done;
}
 
/* CommonTypesMetaclass (used by CythonFunctionShared) */
static PyObject* __pyx_CommonTypesMetaclass_get_module(CYTHON_UNUSED PyObject *self, CYTHON_UNUSED void* context) {
    return PyUnicode_FromString(__PYX_ABI_MODULE_NAME);
}
#if __PYX_LIMITED_VERSION_HEX < 0x030A0000
static PyObject* __pyx_CommonTypesMetaclass_call(CYTHON_UNUSED PyObject *self, CYTHON_UNUSED PyObject *args, CYTHON_UNUSED PyObject *kwds) {
    PyErr_SetString(PyExc_TypeError, "Cannot instantiate Cython internal types");
    return NULL;
}
static int __pyx_CommonTypesMetaclass_setattr(CYTHON_UNUSED PyObject *self, CYTHON_UNUSED PyObject *attr, CYTHON_UNUSED PyObject *value) {
    PyErr_SetString(PyExc_TypeError, "Cython internal types are immutable");
    return -1;
}
#endif
static PyGetSetDef __pyx_CommonTypesMetaclass_getset[] = {
    {"__module__", __pyx_CommonTypesMetaclass_get_module, NULL, NULL, NULL},
    {0, 0, 0, 0, 0}
};
static PyType_Slot __pyx_CommonTypesMetaclass_slots[] = {
    {Py_tp_getset, (void *)__pyx_CommonTypesMetaclass_getset},
    #if __PYX_LIMITED_VERSION_HEX < 0x030A0000
    {Py_tp_call, (void*)__pyx_CommonTypesMetaclass_call},
    {Py_tp_new, (void*)__pyx_CommonTypesMetaclass_call},
    {Py_tp_setattro, (void*)__pyx_CommonTypesMetaclass_setattr},
    #endif
    {0, 0}
};
static PyType_Spec __pyx_CommonTypesMetaclass_spec = {
    __PYX_TYPE_MODULE_PREFIX "_common_types_metatype",
    0,
    0,
    Py_TPFLAGS_IMMUTABLETYPE |
    Py_TPFLAGS_DISALLOW_INSTANTIATION |
    Py_TPFLAGS_DEFAULT,
    __pyx_CommonTypesMetaclass_slots
};
static int __pyx_CommonTypesMetaclass_init(PyObject *module) {
    __pyx_mstatetype *mstate = __Pyx_PyModule_GetState(module);
    PyObject *bases = PyTuple_Pack(1, &PyType_Type);
    if (unlikely(!bases)) {
        return -1;
    }
    mstate->__pyx_CommonTypesMetaclassType = __Pyx_FetchCommonTypeFromSpec(NULL, module, &__pyx_CommonTypesMetaclass_spec, bases);
    Py_DECREF(bases);
    if (unlikely(mstate->__pyx_CommonTypesMetaclassType == NULL)) {
        return -1;
    }
    return 0;
}
 
/* CythonFunctionPerModule (used by CythonFunctionShared) */
#if CYTHON_COMPILING_IN_LIMITED_API
static CYTHON_INLINE int __Pyx__IsSameCyOrCFunctionNoMethod(PyObject *func, void (*cfunc)(void)) {
    if (__Pyx_CyFunction_Check(func)) {
        return __Pyx_as_CyFunctionObject(func)->func_methoddef->ml_meth == (PyCFunction) cfunc;
    } else if (PyCFunction_Check(func)) {
        return PyCFunction_GetFunction(func) == (PyCFunction) cfunc;
    }
    return 0;
}
static CYTHON_INLINE int __Pyx__IsSameCyOrCFunction(PyObject *func, void (*cfunc)(void)) {
    if ((PyObject*)Py_TYPE(func) == __pyx_mstate_global->__Pyx_CachedMethodType) {
        int result;
        PyObject *newFunc = PyObject_GetAttr(func, __pyx_mstate_global->__pyx_n_u_func);
        if (unlikely(!newFunc)) {
            PyErr_Clear(); // It's only an optimization, so don't throw an error
            return 0;
        }
        result = __Pyx__IsSameCyOrCFunctionNoMethod(newFunc, cfunc);
        Py_DECREF(newFunc);
        return result;
    }
    return __Pyx__IsSameCyOrCFunctionNoMethod(func, cfunc);
}
#else
static CYTHON_INLINE int __Pyx__IsSameCyOrCFunction(PyObject *func, void (*cfunc)(void)) {
    if (PyMethod_Check(func)) {
        func = PyMethod_GET_FUNCTION(func);
    }
    return __Pyx_CyOrPyCFunction_Check(func) && __Pyx_CyOrPyCFunction_GET_FUNCTION(func) == (PyCFunction) cfunc;
}
#endif
static CYTHON_INLINE void __Pyx__CyFunction_SetClassObj(__pyx_CyFunctionObject* f, PyObject* classobj) {
#if CYTHON_COMPILING_IN_LIMITED_API
    __Pyx_Py_XDECREF_SET(
        __Pyx__CyFunction_GetClassObj(f),
            ((classobj) ? __Pyx_NewRef(classobj) : NULL));
#else
    __Pyx_Py_XDECREF_SET(
        ((PyCMethodObject *) (f))->mm_class,
        (PyTypeObject*)((classobj) ? __Pyx_NewRef(classobj) : NULL));
#endif
}
static CYTHON_INLINE PyObject *__Pyx_CyFunction_InitDefaults(PyObject *func, PyTypeObject *defaults_type) {
    __pyx_CyFunctionObject *m = __Pyx_as_CyFunctionObject(func);
    m->defaults = PyObject_CallObject((PyObject*)defaults_type, NULL); // _PyObject_New(defaults_type);
    if (unlikely(!m->defaults))
        return NULL;
    return m->defaults;
}
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *func, PyObject *tuple) {
    __pyx_CyFunctionObject *m = __Pyx_as_CyFunctionObject(func);
    m->defaults_tuple = tuple;
    Py_INCREF(tuple);
}
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *func, PyObject *dict) {
    __pyx_CyFunctionObject *m = __Pyx_as_CyFunctionObject(func);
    m->defaults_kwdict = dict;
    Py_INCREF(dict);
}
static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *func, PyObject *dict) {
    __pyx_CyFunctionObject *m = __Pyx_as_CyFunctionObject(func);
    m->func_annotations = dict;
    Py_INCREF(dict);
}
 
/* CallTypeTraverse (used by CythonFunctionShared) */
#if !CYTHON_USE_TYPE_SPECS
#else
static int __Pyx_call_type_traverse(PyObject *o, int always_call, visitproc visit, void *arg) {
    if (!always_call) {
        PyTypeObject *base = __Pyx_PyObject_GetSlot(o, tp_base, PyTypeObject*);
        unsigned long flags = PyType_GetFlags(base);
        if (flags & Py_TPFLAGS_HEAPTYPE) {
            return 0;
        }
    }
    Py_VISIT((PyObject*)Py_TYPE(o));
    return 0;
}
#endif
 
/* PyMethodNew (used by CythonFunctionShared) */
#if CYTHON_COMPILING_IN_LIMITED_API
static PyObject *__Pyx_PyMethod_New(PyObject *func, PyObject *self, PyObject *typ) {
    PyObject *result;
    CYTHON_UNUSED_VAR(typ);
    if (!self)
        return __Pyx_NewRef(func);
    #if __PYX_LIMITED_VERSION_HEX >= 0x030C0000
    {
        PyObject *args[] = {func, self};
        result = PyObject_Vectorcall(__pyx_mstate_global->__Pyx_CachedMethodType, args, 2, NULL);
    }
    #else
    result = PyObject_CallFunctionObjArgs(__pyx_mstate_global->__Pyx_CachedMethodType, func, self, NULL);
    #endif
    return result;
}
#else
static PyObject *__Pyx_PyMethod_New(PyObject *func, PyObject *self, PyObject *typ) {
    CYTHON_UNUSED_VAR(typ);
    if (!self)
        return __Pyx_NewRef(func);
    return PyMethod_New(func, self);
}
#endif
 
/* PyVectorcallFastCallDict (used by CythonFunctionShared) */
#if CYTHON_VECTORCALL
static PyObject *__Pyx_PyVectorcall_FastCallDict_kw(PyObject *func, __pyx_vectorcallfunc vc, PyObject *const *args, size_t nargs, PyObject *kw)
{
    PyObject *res = NULL;
    PyObject *kwnames;
    PyObject **newargs;
    PyObject **kwvalues;
    Py_ssize_t i;
    #if CYTHON_AVOID_BORROWED_REFS
    PyObject *pos;
    #else
    Py_ssize_t pos;
    #endif
    size_t j;
    PyObject *key, *value;
    unsigned long keys_are_strings;
    #if !CYTHON_ASSUME_SAFE_SIZE
    Py_ssize_t nkw = PyDict_Size(kw);
    if (unlikely(nkw == -1)) return NULL;
    #else
    Py_ssize_t nkw = PyDict_GET_SIZE(kw);
    #endif
    newargs = (PyObject **)PyMem_Malloc((nargs + (size_t)nkw) * sizeof(args[0]));
    if (unlikely(newargs == NULL)) {
        PyErr_NoMemory();
        return NULL;
    }
    for (j = 0; j < nargs; j++) newargs[j] = args[j];
    kwnames = PyTuple_New(nkw);
    if (unlikely(kwnames == NULL)) {
        PyMem_Free(newargs);
        return NULL;
    }
    kwvalues = newargs + nargs;
    pos = 0;
    i = 0;
    keys_are_strings = Py_TPFLAGS_UNICODE_SUBCLASS;
    while (__Pyx_PyDict_NextRef(kw, &pos, &key, &value)) {
        keys_are_strings &=
        #if CYTHON_COMPILING_IN_LIMITED_API
            PyType_GetFlags(Py_TYPE(key));
        #else
            Py_TYPE(key)->tp_flags;
        #endif
        #if !CYTHON_ASSUME_SAFE_MACROS
        if (unlikely(PyTuple_SetItem(kwnames, i, key) < 0)) goto cleanup;
        #else
        PyTuple_SET_ITEM(kwnames, i, key);
        #endif
        kwvalues[i] = value;
        i++;
    }
    if (unlikely(!keys_are_strings)) {
        PyErr_SetString(PyExc_TypeError, "keywords must be strings");
        goto cleanup;
    }
    res = vc(func, newargs, nargs, kwnames);
cleanup:
    #if CYTHON_AVOID_BORROWED_REFS
    Py_DECREF(pos);
    #endif
    Py_DECREF(kwnames);
    for (i = 0; i < nkw; i++)
        Py_DECREF(kwvalues[i]);
    PyMem_Free(newargs);
    return res;
}
static CYTHON_INLINE PyObject *__Pyx_PyVectorcall_FastCallDict(PyObject *func, __pyx_vectorcallfunc vc, PyObject *const *args, size_t nargs, PyObject *kw)
{
    Py_ssize_t kw_size =
        likely(kw == NULL) ?
        0 :
#if !CYTHON_ASSUME_SAFE_SIZE
        PyDict_Size(kw);
#else
        PyDict_GET_SIZE(kw);
#endif
    if (kw_size == 0) {
        return vc(func, args, nargs, NULL);
    }
#if !CYTHON_ASSUME_SAFE_SIZE
    else if (unlikely(kw_size == -1)) {
        return NULL;
    }
#endif
    return __Pyx_PyVectorcall_FastCallDict_kw(func, vc, args, nargs, kw);
}
#endif
 
/* CythonFunctionShared (used by CythonFunction) */
static PyObject *
__Pyx_CyFunction_get_doc_locked(__pyx_CyFunctionObject *op)
{
    if (unlikely(op->func_doc == NULL)) {
#if CYTHON_COMPILING_IN_LIMITED_API
        const char *doc = op->func_methoddef->ml_doc;
#else
        const char *doc = ((PyCFunctionObject*)op)->m_ml->ml_doc;
#endif
        if (doc) {
            op->func_doc = PyUnicode_FromString(doc);
            if (unlikely(op->func_doc == NULL))
                return NULL;
        } else {
            Py_INCREF(Py_None);
            return Py_None;
        }
    }
    Py_INCREF(op->func_doc);
    return op->func_doc;
}
static PyObject *
__Pyx_CyFunction_get_doc(PyObject *op_in, void *closure) {
    PyObject *result;
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    CYTHON_UNUSED_VAR(closure);
    __Pyx_BEGIN_CRITICAL_SECTION(op_in);
    result = __Pyx_CyFunction_get_doc_locked(op);
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static int
__Pyx_CyFunction_set_doc(PyObject *op_in, PyObject *value, void *context)
{
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    CYTHON_UNUSED_VAR(context);
    if (value == NULL) {
        value = Py_None;
    }
    Py_INCREF(value);
    __Pyx_BEGIN_CRITICAL_SECTION(op_in);
    __Pyx_Py_XDECREF_SET(op->func_doc, value);
    __Pyx_END_CRITICAL_SECTION();
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_name_locked(__pyx_CyFunctionObject *op)
{
    if (unlikely(op->func_name == NULL)) {
#if CYTHON_COMPILING_IN_LIMITED_API
        const char *name = op->func_methoddef->ml_name;
#else
        const char *name = ((PyCFunctionObject*)op)->m_ml->ml_name;
#endif
        op->func_name = PyUnicode_InternFromString(name);
        if (unlikely(op->func_name == NULL))
            return NULL;
    }
    Py_INCREF(op->func_name);
    return op->func_name;
}
static PyObject *
__Pyx_CyFunction_get_name(PyObject *op, void *context)
{
    PyObject *result = NULL;
    CYTHON_UNUSED_VAR(context);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    result = __Pyx_CyFunction_get_name_locked(__Pyx_as_CyFunctionObject(op));
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static int
__Pyx_CyFunction_set_name(PyObject *op_in, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
    if (unlikely(value == NULL || !PyUnicode_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__name__ must be set to a string object");
        return -1;
    }
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    Py_INCREF(value);
    __Pyx_BEGIN_CRITICAL_SECTION(op_in);
    __Pyx_Py_XDECREF_SET(op->func_name, value);
    __Pyx_END_CRITICAL_SECTION();
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_qualname(PyObject *op_in, void *context)
{
    CYTHON_UNUSED_VAR(context);
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    PyObject *result;
    __Pyx_BEGIN_CRITICAL_SECTION(op_in);
    Py_INCREF(op->func_qualname);
    result = op->func_qualname;
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static int
__Pyx_CyFunction_set_qualname(PyObject *op_in, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
    if (unlikely(value == NULL || !PyUnicode_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__qualname__ must be set to a string object");
        return -1;
    }
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    Py_INCREF(value);
    __Pyx_BEGIN_CRITICAL_SECTION(op_in);
    __Pyx_Py_XDECREF_SET(op->func_qualname, value);
    __Pyx_END_CRITICAL_SECTION();
    return 0;
}
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
static PyObject *
__Pyx_CyFunction_get_dict(__pyx_CyFunctionObject *op, void *context)
{
    CYTHON_UNUSED_VAR(context);
    if (unlikely(op->func_dict == NULL)) {
        op->func_dict = PyDict_New();
        if (unlikely(op->func_dict == NULL))
            return NULL;
    }
    Py_INCREF(op->func_dict);
    return op->func_dict;
}
#endif
static PyObject *
__Pyx_CyFunction_get_globals(PyObject *op_in, void *context)
{
    CYTHON_UNUSED_VAR(context);
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    Py_INCREF(op->func_globals);
    return op->func_globals;
}
static PyObject *
__Pyx_CyFunction_get_closure(PyObject *op, void *context)
{
    CYTHON_UNUSED_VAR(op);
    CYTHON_UNUSED_VAR(context);
    Py_INCREF(Py_None);
    return Py_None;
}
static PyObject *
__Pyx_CyFunction_get_code(PyObject *op_in, void *context)
{
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    PyObject* result = (op->func_code) ? op->func_code : Py_None;
    CYTHON_UNUSED_VAR(context);
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_init_defaults(__pyx_CyFunctionObject *op, PyObject *op_obj) {
    int result = 0;
    PyObject *res = op->defaults_getter(op_obj);
    if (unlikely(!res))
        return -1;
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    op->defaults_tuple = PyTuple_GET_ITEM(res, 0);
    Py_INCREF(op->defaults_tuple);
    op->defaults_kwdict = PyTuple_GET_ITEM(res, 1);
    Py_INCREF(op->defaults_kwdict);
    #else
    op->defaults_tuple = __Pyx_PySequence_ITEM(res, 0);
    if (unlikely(!op->defaults_tuple)) result = -1;
    else {
        op->defaults_kwdict = __Pyx_PySequence_ITEM(res, 1);
        if (unlikely(!op->defaults_kwdict)) result = -1;
    }
    #endif
    Py_DECREF(res);
    return result;
}
static int
__Pyx_CyFunction_set_defaults(PyObject *op_in, PyObject* value, void *context) {
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    CYTHON_UNUSED_VAR(context);
    if (!value) {
        value = Py_None;
    } else if (unlikely(value != Py_None && !PyTuple_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__defaults__ must be set to a tuple object");
        return -1;
    }
    PyErr_WarnEx(PyExc_RuntimeWarning, "changes to cyfunction.__defaults__ will not "
                 "currently affect the values used in function calls", 1);
    Py_INCREF(value);
    __Pyx_BEGIN_CRITICAL_SECTION(op_in);
    __Pyx_Py_XDECREF_SET(op->defaults_tuple, value);
    __Pyx_END_CRITICAL_SECTION();
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_defaults_locked(PyObject *op_in) {
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    PyObject* result = op->defaults_tuple;
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (unlikely(__Pyx_CyFunction_init_defaults(op, op_in) < 0)) return NULL;
            result = op->defaults_tuple;
        } else {
            result = Py_None;
        }
    }
    Py_INCREF(result);
    return result;
}
static PyObject *
__Pyx_CyFunction_get_defaults(PyObject *op, void *context) {
    PyObject* result = NULL;
    CYTHON_UNUSED_VAR(context);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    result = __Pyx_CyFunction_get_defaults_locked(op);
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static int
__Pyx_CyFunction_set_kwdefaults(PyObject *op_in, PyObject* value, void *context) {
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    CYTHON_UNUSED_VAR(context);
    if (!value) {
        value = Py_None;
    } else if (unlikely(value != Py_None && !PyDict_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__kwdefaults__ must be set to a dict object");
        return -1;
    }
    PyErr_WarnEx(PyExc_RuntimeWarning, "changes to cyfunction.__kwdefaults__ will not "
                 "currently affect the values used in function calls", 1);
    Py_INCREF(value);
    __Pyx_BEGIN_CRITICAL_SECTION(op_in);
    __Pyx_Py_XDECREF_SET(op->defaults_kwdict, value);
    __Pyx_END_CRITICAL_SECTION();
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_kwdefaults_locked(PyObject *op_in) {
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    PyObject* result = op->defaults_kwdict;
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (unlikely(__Pyx_CyFunction_init_defaults(op, op_in) < 0)) return NULL;
            result = op->defaults_kwdict;
        } else {
            result = Py_None;
        }
    }
    Py_INCREF(result);
    return result;
}
static PyObject *
__Pyx_CyFunction_get_kwdefaults(PyObject *op, void *context) {
    PyObject* result;
    CYTHON_UNUSED_VAR(context);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    result = __Pyx_CyFunction_get_kwdefaults_locked(op);
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static int __Pyx_CyFunction_set_annotate_in_dict_if_exists(PyObject *op_in, PyObject *value);
static int
__Pyx_CyFunction_set_annotations(PyObject *op_in, PyObject* value, void *context) {
    CYTHON_UNUSED_VAR(context);
    if (!value || value == Py_None) {
        value = NULL;
    } else if (unlikely(!PyDict_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__annotations__ must be set to a dict object");
        return -1;
    }
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    Py_XINCREF(value);
    __Pyx_BEGIN_CRITICAL_SECTION(op_in);
    __Pyx_Py_XDECREF_SET(op->func_annotations, value);
    __Pyx_END_CRITICAL_SECTION();
    if (unlikely(__Pyx_CyFunction_set_annotate_in_dict_if_exists(op_in, Py_None) < 0)) return -1;
    return 0;
}
static int
__Pyx_CyFunction_get_dict_if_exists(PyObject *op_in, PyObject **dict) {
    /* Return 1 if the function dict exists, 0 otherwise.  This cannot fail:
     * _PyObject_GetDictPtr() may clear errors internally, but never reports them. */
#if CYTHON_COMPILING_IN_PYPY
    *dict = PyObject_GenericGetDict(op_in, NULL);
#elif CYTHON_COMPILING_IN_LIMITED_API || PY_VERSION_HEX < 0x030C0000
    *dict = __Pyx_as_CyFunctionObject(op_in)->func_dict;
#else
    PyObject **dictptr = _PyObject_GetDictPtr(op_in);
    *dict = likely(dictptr) ? *dictptr : NULL;
#endif
    return *dict ? 1 : 0;
}
static int
__Pyx_CyFunction_get_annotate_from_dict_if_exists(PyObject *op_in, PyObject **annotate) {
    PyObject *dict;
    int dict_found;
    *annotate = NULL;
    dict_found = __Pyx_CyFunction_get_dict_if_exists(op_in, &dict);
    if (!dict_found) return 0;
    return __Pyx_PyDict_GetItemRef(dict, __pyx_mstate_global->__pyx_n_u_annotate, annotate);
}
static int
__Pyx_CyFunction_set_annotate_in_dict_if_exists(PyObject *op_in, PyObject *value) {
    PyObject *dict;
    int dict_found;
    dict_found = __Pyx_CyFunction_get_dict_if_exists(op_in, &dict);
    if (!dict_found) return 0;
    if (value) {
        return PyDict_SetItem(dict, __pyx_mstate_global->__pyx_n_u_annotate, value);
    } else {
#if !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x030d0000
        return PyDict_Pop(dict, __pyx_mstate_global->__pyx_n_u_annotate, NULL);
#else
        int result = PyDict_Contains(dict, __pyx_mstate_global->__pyx_n_u_annotate);
        if (result == 1) {
            result = PyDict_DelItem(dict, __pyx_mstate_global->__pyx_n_u_annotate);
        }
        return result;
#endif
    }
}
static int
__Pyx_CyFunction_set_annotate_in_dict(PyObject *op_in, PyObject *value) {
    PyObject *dict;
    int result;
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
    dict = __Pyx_CyFunction_get_dict(__Pyx_as_CyFunctionObject(op_in), NULL);
#else
    dict = PyObject_GenericGetDict(op_in, NULL);
#endif
    if (unlikely(!dict)) return -1;
    result = PyDict_SetItem(dict, __pyx_mstate_global->__pyx_n_u_annotate, value);
    Py_DECREF(dict);
    return result;
}
static PyObject *
__Pyx_CyFunction_get_annotations_locked(__pyx_CyFunctionObject *op) {
    PyObject* result = op->func_annotations;
    if (unlikely(!result)) {
        result = PyDict_New();
        if (unlikely(!result)) return NULL;
        op->func_annotations = result;
    }
    Py_INCREF(result);
    return result;
}
static PyObject *
__Pyx_CyFunction_get_annotations(PyObject *op_in, void *context) {
    PyObject *annotate = NULL;
    PyObject *result = NULL;
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    CYTHON_UNUSED_VAR(context);
    __Pyx_BEGIN_CRITICAL_SECTION(op_in);
    result = __Pyx_XNewRef(op->func_annotations);
    __Pyx_END_CRITICAL_SECTION();
    if (result) return result;
    if (unlikely(__Pyx_CyFunction_get_annotate_from_dict_if_exists(op_in, &annotate) < 0)) return NULL;
    if (!annotate || annotate == Py_None) {
        Py_XDECREF(annotate);
        __Pyx_BEGIN_CRITICAL_SECTION(op_in);
        result = __Pyx_CyFunction_get_annotations_locked(op);
        __Pyx_END_CRITICAL_SECTION();
        return result;
    }
    PyObject *format = PyLong_FromLong(1L);  // annotationlib.Format.VALUE
    if (likely(format)) {
        if (!Py_EnterRecursiveCall(" cyfunction __annotations__.__get__")) {
            result = __Pyx_PyObject_CallOneArg(annotate, format);
            Py_LeaveRecursiveCall();
            Py_DECREF(format);
        }
    }
    Py_DECREF(annotate);
    if (unlikely(!result)) return NULL;
    if (unlikely(!PyDict_Check(result))) {
        PyErr_SetString(PyExc_TypeError, "__annotate__ must return a dict");
        Py_DECREF(result);
        return NULL;
    }
    __Pyx_BEGIN_CRITICAL_SECTION(op_in);
    __Pyx_Py_XDECREF_SET(op->func_annotations, __Pyx_NewRef(result));
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static PyObject *__Pyx_CyFunction_annotate_impl(PyObject *self, PyObject *arg) {
    CYTHON_UNUSED_VAR(arg);
    if (unlikely(!self)) {
        PyErr_SetString(PyExc_SystemError, "cython __annotate__ called without 'self' argument");
        return NULL;
    }
    PyObject *result;
    if (Py_EnterRecursiveCall(" in cyfunction annotate")) {
        return NULL;
    }
    result = __Pyx_CyFunction_get_annotations(self, NULL);
    Py_LeaveRecursiveCall();
    return result;
}
static PyObject *
__Pyx_CyFunction_get_annotate(PyObject *op_in, void *context);
static int
__Pyx_CyFunction_set_annotate(PyObject *op_in, PyObject* value, void *context) {
    CYTHON_UNUSED_VAR(context);
    if (value == NULL) {
        PyErr_SetString(PyExc_TypeError, "__annotate__ cannot be deleted");
        return -1;
    }
    if (unlikely(value != Py_None && !PyCallable_Check(value))) {
        PyErr_SetString(PyExc_TypeError, "__annotate__ must be callable or None");
        return -1;
    }
    if (unlikely(__Pyx_TypeCheck(value, &PyCFunction_Type))) {
#if !CYTHON_ASSUME_SAFE_MACROS && !CYTHON_COMPILING_IN_PYPY
        PyCFunction cfunction = PyCFunction_GetFunction(value);
        if (unlikely(!cfunction)) return -1;
        PyObject *value_self = PyCFunction_GetSelf(value);
        if (unlikely(!value_self && PyErr_Occurred())) return -1;
#else
        PyCFunction cfunction = PyCFunction_GET_FUNCTION(value);
        PyObject *value_self = PyCFunction_GET_SELF(value);
#endif
        if (cfunction == __Pyx_CyFunction_annotate_impl && value_self == op_in) {
            return __Pyx_CyFunction_set_annotate_in_dict_if_exists(op_in, NULL);
        }
    }
    if (value != Py_None) {
        __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
        __Pyx_BEGIN_CRITICAL_SECTION(op_in);
        Py_CLEAR(op->func_annotations);
        __Pyx_END_CRITICAL_SECTION();
    }
    return __Pyx_CyFunction_set_annotate_in_dict(op_in, value);
}
#if __PYX_LIMITED_VERSION_HEX < 0x030B0000
static PyObject *
__Pyx_CyFunction_get_is_coroutine_value(__pyx_CyFunctionObject *op) {
    int is_coroutine = op->flags & __Pyx_CYFUNCTION_COROUTINE;
    if (is_coroutine) {
        PyObject *is_coroutine_value, *module, *fromlist, *marker = __pyx_mstate_global->__pyx_n_u_is_coroutine;
        fromlist = PyList_New(1);
        if (unlikely(!fromlist)) return NULL;
        Py_INCREF(marker);
#if CYTHON_ASSUME_SAFE_MACROS
        PyList_SET_ITEM(fromlist, 0, marker);
#else
        if (unlikely(PyList_SetItem(fromlist, 0, marker) < 0)) {
            Py_DECREF(fromlist);
            return NULL;
        }
#endif
        module = PyImport_ImportModuleLevelObject(__pyx_mstate_global->__pyx_n_u_asyncio_coroutines, NULL, NULL, fromlist, 0);
        Py_DECREF(fromlist);
        if (unlikely(!module)) {
            goto ignore_or_error;
        }
        is_coroutine_value = __Pyx_PyObject_GetAttrStr(module, marker);
        Py_DECREF(module);
        if (likely(is_coroutine_value)) {
            return is_coroutine_value;
        }
ignore_or_error:
        if (!__Pyx_IgnoreException(PyExc_Exception)) {
            return NULL;
        }
    }
    return __Pyx_PyBool_FromLong(is_coroutine);
}
static PyObject *
__Pyx_CyFunction_get_is_coroutine(PyObject *op_in, void *context) {
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    PyObject *result;
    CYTHON_UNUSED_VAR(context);
    if (op->func_is_coroutine) {
        return __Pyx_NewRef(op->func_is_coroutine);
    }
    result = __Pyx_CyFunction_get_is_coroutine_value(op);
    if (unlikely(!result))
        return NULL;
    __Pyx_BEGIN_CRITICAL_SECTION(op_in);
    if (op->func_is_coroutine) {
        Py_DECREF(result);
        result = __Pyx_NewRef(op->func_is_coroutine);
    } else {
        op->func_is_coroutine = __Pyx_NewRef(result);
    }
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
#endif
static void __Pyx_CyFunction_raise_argument_count_error(PyObject *func, const char* message, Py_ssize_t size) {
#if CYTHON_COMPILING_IN_LIMITED_API
    PyObject *py_name = __Pyx_CyFunction_get_name(func, NULL);
    if (!py_name) return;
    PyErr_Format(PyExc_TypeError,
        "%.200S() %s (%" CYTHON_FORMAT_SSIZE_T "d given)",
        py_name, message, size);
    Py_DECREF(py_name);
#else
    const char* name = ((PyCFunctionObject*)func)->m_ml->ml_name;
    PyErr_Format(PyExc_TypeError,
        "%.200s() %s (%" CYTHON_FORMAT_SSIZE_T "d given)",
        name, message, size);
#endif
}
static void __Pyx_CyFunction_raise_type_error(PyObject *func, const char* message) {
#if CYTHON_COMPILING_IN_LIMITED_API
    PyObject *py_name = __Pyx_CyFunction_get_name(func, NULL);
    if (!py_name) return;
    PyErr_Format(PyExc_TypeError,
        "%.200S() %s",
        py_name, message);
    Py_DECREF(py_name);
#else
    const char* name = ((PyCFunctionObject*)func)->m_ml->ml_name;
    PyErr_Format(PyExc_TypeError,
        "%.200s() %s",
        name, message);
#endif
}
#if CYTHON_COMPILING_IN_LIMITED_API
static PyObject *
__Pyx_CyFunction_get_module(PyObject *op_in, void *context) {
    CYTHON_UNUSED_VAR(context);
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    Py_INCREF(op->func_module);
    return op->func_module;
}
static int
__Pyx_CyFunction_set_module(PyObject *op_in, PyObject* value, void *context) {
    CYTHON_UNUSED_VAR(context);
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    if (value == NULL) {
        value = Py_None;
    }
    Py_INCREF(value);
    PyObject *old = op->func_module;
    op->func_module = value;
    Py_DECREF(old);
    return 0;
}
#endif
static PyGetSetDef __pyx_CyFunction_getsets[] = {
    {"func_doc", (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {"__doc__",  (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {"func_name", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {"__name__", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {"__qualname__", (getter)__Pyx_CyFunction_get_qualname, (setter)__Pyx_CyFunction_set_qualname, 0, 0},
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
    {"func_dict", (getter)__Pyx_CyFunction_get_dict, (setter)PyObject_GenericSetDict, 0, 0},
    {"__dict__", (getter)__Pyx_CyFunction_get_dict, (setter)PyObject_GenericSetDict, 0, 0},
#else
    {"func_dict", (getter)PyObject_GenericGetDict, (setter)PyObject_GenericSetDict, 0, 0},
    {"__dict__", (getter)PyObject_GenericGetDict, (setter)PyObject_GenericSetDict, 0, 0},
#endif
    {"func_globals", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {"__globals__", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {"func_closure", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {"__closure__", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {"func_code", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {"__code__", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {"func_defaults", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {"__defaults__", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {"__kwdefaults__", (getter)__Pyx_CyFunction_get_kwdefaults, (setter)__Pyx_CyFunction_set_kwdefaults, 0, 0},
    {"__annotations__", (getter)__Pyx_CyFunction_get_annotations, (setter)__Pyx_CyFunction_set_annotations, 0, 0},
    {"__annotate__", (getter)__Pyx_CyFunction_get_annotate, (setter)__Pyx_CyFunction_set_annotate, 0, 0},
#if __PYX_LIMITED_VERSION_HEX < 0x030B0000
    {"_is_coroutine", (getter)__Pyx_CyFunction_get_is_coroutine, 0, 0, 0},
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
    {"__module__", (getter)__Pyx_CyFunction_get_module, (setter)__Pyx_CyFunction_set_module, 0, 0},
#endif
    {0, 0, 0, 0, 0}
};
static PyMemberDef __pyx_CyFunction_members[] = {
#if !CYTHON_COMPILING_IN_LIMITED_API
    {"__module__", T_OBJECT, offsetof(PyCFunctionObject, m_module), 0, 0},
#endif
#if PY_VERSION_HEX < 0x030C0000 || CYTHON_COMPILING_IN_LIMITED_API
    {"__dictoffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_dict),
        __PYX_SHARED_RELATIVE_OFFSET | READONLY, 0},
#endif
#if CYTHON_VECTORCALL
#if CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_PYPY
    {"__vectorcalloffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_vectorcall),
        __PYX_SHARED_RELATIVE_OFFSET | READONLY, 0},
#else
    {"__vectorcalloffset__", T_PYSSIZET, offsetof(PyCFunctionObject, vectorcall), READONLY, 0},
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
    {"__weaklistoffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_weakreflist),
        __PYX_SHARED_RELATIVE_OFFSET | READONLY, 0},
#else
    {"__weaklistoffset__", T_PYSSIZET, offsetof(PyCFunctionObject, m_weakreflist), READONLY, 0},
#endif
#endif
    {0, 0, 0,  0, 0}
};
static PyObject *
__Pyx_CyFunction_reduce(PyObject *m_in, PyObject *args)
{
    PyObject *result = NULL;
    __pyx_CyFunctionObject *m = __Pyx_as_CyFunctionObject(m_in);
    CYTHON_UNUSED_VAR(args);
    __Pyx_BEGIN_CRITICAL_SECTION(m_in);
    Py_INCREF(m->func_qualname);
    result = m->func_qualname;
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static PyMethodDef __pyx_CyFunction_methods[] = {
    {"__annotate_cython__", __Pyx_CyFunction_annotate_impl, METH_O,
        "Placeholder __annotate__ function to allow 'functools.wraps' to work "
        "on Cython functions."},
    {"__reduce__", (PyCFunction)__Pyx_CyFunction_reduce, METH_NOARGS, 0},
    {0, 0, 0, 0}
};
static PyObject *
__Pyx_CyFunction_get_annotate(PyObject *op_in, void *context) {
    PyObject *annotate = NULL;
    CYTHON_UNUSED_VAR(context);
    if (unlikely(__Pyx_CyFunction_get_annotate_from_dict_if_exists(op_in, &annotate) < 0)) return NULL;
    if (annotate) return annotate;
    PyObject *method = PyCFunction_New(
        &__pyx_CyFunction_methods[0],
        op_in);
    return method;
}
#if CYTHON_COMPILING_IN_LIMITED_API
#define __Pyx_CyFunction_weakreflist(cyfunc) ((cyfunc)->func_weakreflist)
#else
#define __Pyx_CyFunction_weakreflist(cyfunc) (((PyCFunctionObject*)cyfunc)->m_weakreflist)
#endif
static PyObject *__Pyx_CyFunction_Init(PyObject *op_in,
                                       PyMethodDef *ml, int flags, PyObject* qualname,
                                       PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {
    __pyx_CyFunctionObject* op = __Pyx_as_CyFunctionObject(op_in);
#if !CYTHON_COMPILING_IN_LIMITED_API
    PyCFunctionObject *cf = (PyCFunctionObject*) op;
#endif
    if (unlikely(op == NULL))
        return NULL;
#if CYTHON_COMPILING_IN_LIMITED_API
    op->func_methoddef = ml;
    Py_INCREF(module);
    op->func_module = module;
#endif
    op->flags = flags;
    __Pyx_CyFunction_weakreflist(op) = NULL;
#if !CYTHON_COMPILING_IN_LIMITED_API
    cf->m_ml = ml;
    cf->m_self = (PyObject *) op;
#endif
    Py_XINCREF(closure);
    op->func_closure = closure;
#if !CYTHON_COMPILING_IN_LIMITED_API
    Py_XINCREF(module);
    cf->m_module = module;
#endif
#if PY_VERSION_HEX < 0x030C0000 || CYTHON_COMPILING_IN_LIMITED_API
    op->func_dict = NULL;
#endif
    op->func_name = NULL;
    Py_INCREF(qualname);
    op->func_qualname = qualname;
    op->func_doc = NULL;
#if CYTHON_COMPILING_IN_LIMITED_API
    op->func_classobj = NULL;
#else
    ((PyCMethodObject*)op)->mm_class = NULL;
#endif
    op->func_globals = globals;
    Py_INCREF(op->func_globals);
    Py_XINCREF(code);
    op->func_code = code;
    op->defaults = NULL;
    op->defaults_tuple = NULL;
    op->defaults_kwdict = NULL;
    op->defaults_getter = NULL;
    op->func_annotations = NULL;
#if __PYX_LIMITED_VERSION_HEX < 0x030B0000
    op->func_is_coroutine = NULL;
#endif
#if CYTHON_VECTORCALL
    switch (ml->ml_flags & (METH_VARARGS | METH_FASTCALL | METH_NOARGS | METH_O | METH_KEYWORDS | METH_METHOD)) {
    case METH_NOARGS:
        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_NOARGS;
        break;
    case METH_O:
        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_O;
        break;
    case METH_METHOD | METH_FASTCALL | METH_KEYWORDS:
        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS_METHOD;
        break;
    case METH_FASTCALL | METH_KEYWORDS:
        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS;
        break;
    case METH_VARARGS | METH_KEYWORDS:
        __Pyx_CyFunction_func_vectorcall(op) = NULL;
        break;
    default:
        PyErr_SetString(PyExc_SystemError, "Bad call flags for CyFunction");
        Py_DECREF(op_in);
        return NULL;
    }
#endif
    return op_in;
}
static int __Pyx__CyFunction_clear(__pyx_CyFunctionObject *m)
{
    Py_CLEAR(m->func_closure);
#if CYTHON_COMPILING_IN_LIMITED_API
    Py_CLEAR(m->func_module);
#else
    Py_CLEAR(((PyCFunctionObject*)m)->m_module);
#endif
#if PY_VERSION_HEX < 0x030C0000 || CYTHON_COMPILING_IN_LIMITED_API
    Py_CLEAR(m->func_dict);
#elif PY_VERSION_HEX < 0x030d0000
    _PyObject_ClearManagedDict((PyObject*)m);
#else
    PyObject_ClearManagedDict((PyObject*)m);
#endif
    Py_CLEAR(m->func_name);
    Py_CLEAR(m->func_qualname);
    Py_CLEAR(m->func_doc);
    Py_CLEAR(m->func_globals);
    Py_CLEAR(m->func_code);
#if CYTHON_COMPILING_IN_LIMITED_API
    Py_CLEAR(m->func_classobj);
#else
    {
        PyObject *cls = (PyObject*) ((PyCMethodObject *) (m))->mm_class;
        ((PyCMethodObject *) (m))->mm_class = NULL;
        Py_XDECREF(cls);
    }
#endif
    Py_CLEAR(m->defaults_tuple);
    Py_CLEAR(m->defaults_kwdict);
    Py_CLEAR(m->func_annotations);
#if __PYX_LIMITED_VERSION_HEX < 0x030B0000
    Py_CLEAR(m->func_is_coroutine);
#endif
    Py_CLEAR(m->defaults);
    return 0;
}
static int
__Pyx_CyFunction_clear(PyObject *m)
{
    return __Pyx__CyFunction_clear(__Pyx_as_CyFunctionObject(m));
}
static void __Pyx__CyFunction_dealloc(PyObject *m)
{
    __pyx_CyFunctionObject *cyfunc = __Pyx_as_CyFunctionObject(m);
    if (__Pyx_CyFunction_weakreflist(cyfunc) != NULL)
        PyObject_ClearWeakRefs(m);
    __Pyx__CyFunction_clear(cyfunc);
    __Pyx_PyHeapTypeObject_GC_Del(m);
}
static void __Pyx_CyFunction_dealloc(PyObject *m)
{
    PyObject_GC_UnTrack(m);
    __Pyx__CyFunction_dealloc(m);
}
static int __Pyx_CyFunction_traverse(PyObject *m_in, visitproc visit, void *arg)
{
    __pyx_CyFunctionObject *m = __Pyx_as_CyFunctionObject(m_in);
    {
        int e = __Pyx_call_type_traverse(m_in, 1, visit, arg);
        if (e) return e;
    }
    Py_VISIT(m->func_closure);
#if CYTHON_COMPILING_IN_LIMITED_API
    Py_VISIT(m->func_module);
#else
    Py_VISIT(((PyCFunctionObject*)m)->m_module);
#endif
#if PY_VERSION_HEX < 0x030C0000 || CYTHON_COMPILING_IN_LIMITED_API
    Py_VISIT(m->func_dict);
#else
    {
        int e =
#if PY_VERSION_HEX < 0x030d0000
            _PyObject_VisitManagedDict
#else
            PyObject_VisitManagedDict
#endif
                ((PyObject*)m, visit, arg);
        if (e != 0) return e;
    }
#endif
    __Pyx_VISIT_CONST(m->func_name);
    __Pyx_VISIT_CONST(m->func_qualname);
    Py_VISIT(m->func_doc);
    Py_VISIT(m->func_globals);
    __Pyx_VISIT_CONST(m->func_code);
    Py_VISIT(__Pyx__CyFunction_GetClassObj(m));
    Py_VISIT(m->defaults_tuple);
    Py_VISIT(m->defaults_kwdict);
    Py_VISIT(m->func_annotations);
#if __PYX_LIMITED_VERSION_HEX < 0x030B0000
    Py_VISIT(m->func_is_coroutine);
#endif
    Py_VISIT(m->defaults);
    return 0;
}
static PyObject*
__Pyx_CyFunction_repr(PyObject *op_in)
{
    __pyx_CyFunctionObject *op = __Pyx_as_CyFunctionObject(op_in);
    PyObject *repr;
    __Pyx_BEGIN_CRITICAL_SECTION(op_in);
    repr = PyUnicode_FromFormat("<cyfunction %U at %p>",
                                op->func_qualname, (void *)op);
    __Pyx_END_CRITICAL_SECTION();
    return repr;
}
static PyObject * __Pyx_CyFunction_CallMethod(PyObject *func, PyObject *self, PyObject *arg, PyObject *kw) {
#if CYTHON_COMPILING_IN_LIMITED_API
    __pyx_CyFunctionObject *cyfunc = __Pyx_as_CyFunctionObject(func);
    PyCFunction meth = cyfunc->func_methoddef->ml_meth;
    int flags = cyfunc->func_methoddef->ml_flags;
#else
    PyCFunctionObject* f = (PyCFunctionObject*)func;
    PyCFunction meth = f->m_ml->ml_meth;
    int flags = f->m_ml->ml_flags;
#endif
    Py_ssize_t size;
    switch (flags & (METH_VARARGS | METH_KEYWORDS | METH_NOARGS | METH_O)) {
    case METH_VARARGS:
        if (likely(kw == NULL || PyDict_Size(kw) == 0))
            return (*meth)(self, arg);
        break;
    case METH_VARARGS | METH_KEYWORDS:
        return (*(PyCFunctionWithKeywords)(void(*)(void))meth)(self, arg, kw);
    case METH_NOARGS:
        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
#if CYTHON_ASSUME_SAFE_SIZE
            size = PyTuple_GET_SIZE(arg);
#else
            size = PyTuple_Size(arg);
            if (unlikely(size < 0)) return NULL;
#endif
            if (likely(size == 0))
                return (*meth)(self, NULL);
            __Pyx_CyFunction_raise_argument_count_error(
                func,
                "takes no arguments", size);
            return NULL;
        }
        break;
    case METH_O:
        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
#if CYTHON_ASSUME_SAFE_SIZE
            size = PyTuple_GET_SIZE(arg);
#else
            size = PyTuple_Size(arg);
            if (unlikely(size < 0)) return NULL;
#endif
            if (likely(size == 1)) {
                PyObject *result, *arg0;
                #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
                arg0 = PyTuple_GET_ITEM(arg, 0);
                #else
                arg0 = __Pyx_PySequence_ITEM(arg, 0); if (unlikely(!arg0)) return NULL;
                #endif
                result = (*meth)(self, arg0);
                #if !(CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)
                Py_DECREF(arg0);
                #endif
                return result;
            }
            __Pyx_CyFunction_raise_argument_count_error(
                func,
                "takes exactly one argument", size);
            return NULL;
        }
        break;
    default:
        PyErr_SetString(PyExc_SystemError, "Bad call flags for CyFunction");
        return NULL;
    }
    __Pyx_CyFunction_raise_type_error(
        func, "takes no keyword arguments");
    return NULL;
}
static CYTHON_INLINE PyObject *__Pyx_CyFunction_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    PyObject *result;
    result = __Pyx_CyFunction_CallMethod(func, func, arg, kw);
    return result;
}
static PyObject *__Pyx_CyFunction_CallAsMethod(PyObject *func, PyObject *args, PyObject *kw) {
    PyObject *result;
    __pyx_CyFunctionObject *cyfunc = __Pyx_as_CyFunctionObject(func);
#if CYTHON_VECTORCALL
     __pyx_vectorcallfunc vc = __Pyx_CyFunction_func_vectorcall(cyfunc);
    if (vc) {
#if CYTHON_ASSUME_SAFE_MACROS && CYTHON_ASSUME_SAFE_SIZE
        return __Pyx_PyVectorcall_FastCallDict(func, vc, &PyTuple_GET_ITEM(args, 0), (size_t)PyTuple_GET_SIZE(args), kw);
#else
        (void) &__Pyx_PyVectorcall_FastCallDict;
        return PyVectorcall_Call(func, args, kw);
#endif
    }
#endif
    if ((cyfunc->flags & __Pyx_CYFUNCTION_CCLASS) && !(cyfunc->flags & __Pyx_CYFUNCTION_STATICMETHOD)) {
        Py_ssize_t argc;
        PyObject *new_args;
        PyObject *self;
#if CYTHON_ASSUME_SAFE_SIZE
        argc = PyTuple_GET_SIZE(args);
#else
        argc = PyTuple_Size(args);
        if (unlikely(argc < 0)) return NULL;
#endif
        new_args = PyTuple_GetSlice(args, 1, argc);
        if (unlikely(!new_args))
            return NULL;
        self = PyTuple_GetItem(args, 0);
        if (unlikely(!self)) {
            Py_DECREF(new_args);
            PyErr_Format(PyExc_TypeError,
                         "unbound method %.200S() needs an argument",
                         cyfunc->func_qualname);
            return NULL;
        }
        result = __Pyx_CyFunction_CallMethod(func, self, new_args, kw);
        Py_DECREF(new_args);
    } else {
        result = __Pyx_CyFunction_Call(func, args, kw);
    }
    return result;
}
#if CYTHON_VECTORCALL
static CYTHON_INLINE int __Pyx_CyFunction_Vectorcall_CheckArgs(PyObject *func, __pyx_CyFunctionObject *cyfunc, Py_ssize_t nargs, PyObject *kwnames)
{
    int ret = 0;
    if ((cyfunc->flags & __Pyx_CYFUNCTION_CCLASS) && !(cyfunc->flags & __Pyx_CYFUNCTION_STATICMETHOD)) {
        if (unlikely(nargs < 1)) {
            __Pyx_CyFunction_raise_type_error(
                func, "needs an argument");
            return -1;
        }
        ret = 1;
    }
    if (unlikely(kwnames) && unlikely(__Pyx_PyTuple_GET_SIZE(kwnames))) {
        __Pyx_CyFunction_raise_type_error(
            func, "takes no keyword arguments");
        return -1;
    }
    return ret;
}
static PyObject * __Pyx_CyFunction_Vectorcall_NOARGS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
{
    __pyx_CyFunctionObject *cyfunc = __Pyx_as_CyFunctionObject(func);
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
    PyObject *self;
#if CYTHON_COMPILING_IN_LIMITED_API
    PyCFunction meth = cyfunc->func_methoddef->ml_meth;
    if (unlikely(!meth)) return NULL;
#else
    PyCFunction meth = ((PyCFunctionObject*)cyfunc)->m_ml->ml_meth;
#endif
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(func, cyfunc, nargs, kwnames)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
        self = func;
        break;
    default:
        return NULL;
    }
    if (unlikely(nargs != 0)) {
        __Pyx_CyFunction_raise_argument_count_error(
            func, "takes no arguments", nargs);
        return NULL;
    }
    return meth(self, NULL);
}
static PyObject * __Pyx_CyFunction_Vectorcall_O(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
{
    __pyx_CyFunctionObject *cyfunc = __Pyx_as_CyFunctionObject(func);
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
    PyObject *self;
#if CYTHON_COMPILING_IN_LIMITED_API
    PyCFunction meth = cyfunc->func_methoddef->ml_meth;
    if (unlikely(!meth)) return NULL;
#else
    PyCFunction meth = ((PyCFunctionObject*)cyfunc)->m_ml->ml_meth;
#endif
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(func, cyfunc, nargs, kwnames)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
        self = func;
        break;
    default:
        return NULL;
    }
    if (unlikely(nargs != 1)) {
        __Pyx_CyFunction_raise_argument_count_error(
            func, "takes exactly one argument", nargs);
        return NULL;
    }
    return meth(self, args[0]);
}
static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
{
    __pyx_CyFunctionObject *cyfunc = __Pyx_as_CyFunctionObject(func);
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
    PyObject *self;
#if CYTHON_COMPILING_IN_LIMITED_API
    PyCFunction meth = cyfunc->func_methoddef->ml_meth;
    if (unlikely(!meth)) return NULL;
#else
    PyCFunction meth = ((PyCFunctionObject*)cyfunc)->m_ml->ml_meth;
#endif
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(func, cyfunc, nargs, NULL)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
        self = func;
        break;
    default:
        return NULL;
    }
    return ((__Pyx_PyCFunctionFastWithKeywords)(void(*)(void))meth)(self, args, nargs, kwnames);
}
static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS_METHOD(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
{
    __pyx_CyFunctionObject *cyfunc = __Pyx_as_CyFunctionObject(func);
    PyTypeObject *cls = (PyTypeObject *) __Pyx__CyFunction_GetClassObj(cyfunc);
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
    PyObject *self;
#if CYTHON_COMPILING_IN_LIMITED_API
    PyCFunction meth = cyfunc->func_methoddef->ml_meth;
    if (unlikely(!meth)) return NULL;
#else
    PyCFunction meth = ((PyCFunctionObject*)cyfunc)->m_ml->ml_meth;
#endif
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(func, cyfunc, nargs, NULL)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
        self = func;
        break;
    default:
        return NULL;
    }
    #if PY_VERSION_HEX < 0x030e00A6
    size_t nargs_value = (size_t) nargs;
    #else
    Py_ssize_t nargs_value = nargs;
    #endif
    return ((__Pyx_PyCMethod)(void(*)(void))meth)(self, cls, args, nargs_value, kwnames);
}
#endif
static PyType_Slot __pyx_CyFunctionType_slots[] = {
    {Py_tp_dealloc, (void *)__Pyx_CyFunction_dealloc},
    {Py_tp_repr, (void *)__Pyx_CyFunction_repr},
    {Py_tp_call, (void *)__Pyx_CyFunction_CallAsMethod},
    {Py_tp_traverse, (void *)__Pyx_CyFunction_traverse},
    {Py_tp_clear, (void *)__Pyx_CyFunction_clear},
    {Py_tp_methods, (void *)__pyx_CyFunction_methods},
    {Py_tp_members, (void *)__pyx_CyFunction_members},
    {Py_tp_getset, (void *)__pyx_CyFunction_getsets},
    {Py_tp_descr_get, (void *)__Pyx_PyMethod_New},
    {0, 0},
};
static PyType_Spec __pyx_CyFunctionType_spec = {
    __PYX_TYPE_MODULE_PREFIX "cython_function_or_method",
    __PYX_SHARED_SIZEOF(__pyx_CyFunctionObject),
    0,
#ifdef Py_TPFLAGS_METHOD_DESCRIPTOR
    Py_TPFLAGS_METHOD_DESCRIPTOR |
#endif
#if CYTHON_VECTORCALL
#if defined(Py_TPFLAGS_HAVE_VECTORCALL)
    Py_TPFLAGS_HAVE_VECTORCALL |
#elif defined(_Py_TPFLAGS_HAVE_VECTORCALL)
    _Py_TPFLAGS_HAVE_VECTORCALL |
#endif
#endif // CYTHON_VECTORCALL
#if PY_VERSION_HEX >= 0x030C0000 && !CYTHON_COMPILING_IN_LIMITED_API
    Py_TPFLAGS_MANAGED_DICT |
#endif
    Py_TPFLAGS_IMMUTABLETYPE | Py_TPFLAGS_DISALLOW_INSTANTIATION |
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_BASETYPE,
    __pyx_CyFunctionType_slots
};
static int __pyx_CyFunction_init(PyObject *module) {
    __pyx_mstatetype *mstate = __Pyx_PyModule_GetState(module);
    mstate->__pyx_CyFunctionType = __Pyx_FetchCommonTypeFromSpec(
        mstate->__pyx_CommonTypesMetaclassType, module, &__pyx_CyFunctionType_spec, NULL);
    if (unlikely(mstate->__pyx_CyFunctionType == NULL)) {
        return -1;
    }
    return 0;
}
 
/* CythonFunction */
static PyObject *__Pyx_CyFunction_New(PyMethodDef *ml, int flags, PyObject* qualname,
                                      PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {
    (void)&__Pyx_Get_CyFunction_Type;
    PyObject *op = __Pyx_CyFunction_Init(
        PyObject_GC_New(PyObject, __pyx_mstate_global->__pyx_CyFunctionType),
        ml, flags, qualname, closure, module, globals, code
    );
    if (likely(op)) {
        PyObject_GC_Track(op);
    }
    return op;
}
static PyTypeObject *__Pyx_Get_CyFunction_Type(void) {
    PyTypeObject *tp = __pyx_mstate_global->__pyx_CyFunctionType;
    Py_INCREF((PyObject*)tp);
    return tp;
}
 
/* 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_npy_intp(npy_intp value) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const npy_intp neg_one = (npy_intp) -1, const_zero = (npy_intp) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(npy_intp) < sizeof(long)) {
            return PyLong_FromLong((long) value);
        } else if (sizeof(npy_intp) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#if !CYTHON_COMPILING_IN_PYPY
        } else if (sizeof(npy_intp) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(npy_intp) <= sizeof(long)) {
            return PyLong_FromLong((long) value);
        } else if (sizeof(npy_intp) <= 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(npy_intp),
                                     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(npy_intp));
        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 npy_intp __Pyx_LargePyLong___Pyx_PyLong_As_npy_intp(PyObject *x);
static npy_intp __Pyx_raise_neg_overflow___Pyx_PyLong_As_npy_intp(void) {
    const char* type_name = "npy_intp";
    PyErr_Format(PyExc_OverflowError,
        "can't convert negative value to %.200s", type_name);
    return (npy_intp) -1;
}
static npy_intp __Pyx_raise_overflow___Pyx_PyLong_As_npy_intp(void) {
    const char* type_name = "npy_intp";
    PyErr_Format(PyExc_OverflowError,
        "value too large to convert to %.200s", type_name);
    return (npy_intp) -1;
}
static CYTHON_INLINE npy_intp __Pyx_PyULong___Pyx_PyLong_As_npy_intp(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(npy_intp) > 1 * PyLong_SHIFT)) {
            if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                __PYX_VERIFY_RETURN_INT(npy_intp, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
            } else if ((8 * sizeof(npy_intp) >= 2 * PyLong_SHIFT)) {
                return (npy_intp) (((((npy_intp)digits[1]) << PyLong_SHIFT) | (npy_intp)digits[0]));
            }
        } else
        if (size == 3 && (8 * sizeof(npy_intp) > 2 * PyLong_SHIFT)) {
            if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                __PYX_VERIFY_RETURN_INT(npy_intp, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
            } else if ((8 * sizeof(npy_intp) >= 3 * PyLong_SHIFT)) {
                return (npy_intp) (((((((npy_intp)digits[2]) << PyLong_SHIFT) | (npy_intp)digits[1]) << PyLong_SHIFT) | (npy_intp)digits[0]));
            }
        } else
        if (size == 4 && (8 * sizeof(npy_intp) > 3 * PyLong_SHIFT)) {
            if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                __PYX_VERIFY_RETURN_INT(npy_intp, 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(npy_intp) >= 4 * PyLong_SHIFT)) {
                return (npy_intp) (((((((((npy_intp)digits[3]) << PyLong_SHIFT) | (npy_intp)digits[2]) << PyLong_SHIFT) | (npy_intp)digits[1]) << PyLong_SHIFT) | (npy_intp)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 (npy_intp) -1;
        if (unlikely(result == 1))
            goto raise_neg_overflow;
    }
#endif
    if ((sizeof(npy_intp) <= sizeof(unsigned long))) {
        __PYX_VERIFY_RETURN_INT_EXC(npy_intp, unsigned long, PyLong_AsUnsignedLong(x))
    } else if ((sizeof(npy_intp) <= sizeof(unsigned PY_LONG_LONG))) {
        __PYX_VERIFY_RETURN_INT_EXC(npy_intp, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
    }
    return __Pyx_LargePyLong___Pyx_PyLong_As_npy_intp(x);
raise_neg_overflow:
    return __Pyx_raise_neg_overflow___Pyx_PyLong_As_npy_intp();
raise_overflow:
    return __Pyx_raise_overflow___Pyx_PyLong_As_npy_intp();
}
static CYTHON_INLINE npy_intp __Pyx_PySLong___Pyx_PyLong_As_npy_intp(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(npy_intp) > 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(npy_intp, long, ival)
            } else if ((8 * sizeof(npy_intp) - 1 > 2 * PyLong_SHIFT)) {
                return (npy_intp) (((npy_intp) -1) * (((((npy_intp)digits[1]) << PyLong_SHIFT) | (npy_intp)digits[0])));
            }
        } else
        if (size == 3 && (8 * sizeof(npy_intp) > 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(npy_intp, long, ival)
            } else if ((8 * sizeof(npy_intp) - 1 > 3 * PyLong_SHIFT)) {
                return (npy_intp) (((npy_intp) -1) * (((((((npy_intp)digits[2]) << PyLong_SHIFT) | (npy_intp)digits[1]) << PyLong_SHIFT) | (npy_intp)digits[0])));
            }
        } else
        if (size == 4 && (8 * sizeof(npy_intp) > 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(npy_intp, long, ival)
            } else if ((8 * sizeof(npy_intp) - 1 > 4 * PyLong_SHIFT)) {
                return (npy_intp) (((npy_intp) -1) * (((((((((npy_intp)digits[3]) << PyLong_SHIFT) | (npy_intp)digits[2]) << PyLong_SHIFT) | (npy_intp)digits[1]) << PyLong_SHIFT) | (npy_intp)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(npy_intp) > 1 * PyLong_SHIFT)) {
            if ((8 * sizeof(long) > 2 * PyLong_SHIFT)) {
                __PYX_VERIFY_RETURN_INT(npy_intp, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
            } else if ((8 * sizeof(npy_intp) - 1 > 2 * PyLong_SHIFT)) {
                return (npy_intp) (((((npy_intp)digits[1]) << PyLong_SHIFT) | (npy_intp)digits[0]));
            }
        } else
        if (size == 3 && (8 * sizeof(npy_intp) > 2 * PyLong_SHIFT)) {
            if ((8 * sizeof(long) > 3 * PyLong_SHIFT)) {
                __PYX_VERIFY_RETURN_INT(npy_intp, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
            } else if ((8 * sizeof(npy_intp) - 1 > 3 * PyLong_SHIFT)) {
                return (npy_intp) (((((((npy_intp)digits[2]) << PyLong_SHIFT) | (npy_intp)digits[1]) << PyLong_SHIFT) | (npy_intp)digits[0]));
            }
        } else
        if (size == 4 && (8 * sizeof(npy_intp) > 3 * PyLong_SHIFT)) {
            if ((8 * sizeof(long) > 4 * PyLong_SHIFT)) {
                __PYX_VERIFY_RETURN_INT(npy_intp, 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(npy_intp) - 1 > 4 * PyLong_SHIFT)) {
                return (npy_intp) (((((((((npy_intp)digits[3]) << PyLong_SHIFT) | (npy_intp)digits[2]) << PyLong_SHIFT) | (npy_intp)digits[1]) << PyLong_SHIFT) | (npy_intp)digits[0]));
            }
        } else
        {}
    }
#endif
    #if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
    if ((sizeof(npy_intp) <= sizeof(int)) && (sizeof(int) < sizeof(long))) {
        __PYX_VERIFY_RETURN_INT_EXC(npy_intp, int, PyLong_AsInt(x))
    } else
    #endif
    if ((sizeof(npy_intp) <= sizeof(long))) {
        __PYX_VERIFY_RETURN_INT_EXC(npy_intp, long, PyLong_AsLong(x))
    } else if ((sizeof(npy_intp) <= sizeof(PY_LONG_LONG))) {
        __PYX_VERIFY_RETURN_INT_EXC(npy_intp, PY_LONG_LONG, PyLong_AsLongLong(x))
    }
    return __Pyx_LargePyLong___Pyx_PyLong_As_npy_intp(x);
raise_neg_overflow:
    return __Pyx_raise_neg_overflow___Pyx_PyLong_As_npy_intp();
raise_overflow:
    return __Pyx_raise_overflow___Pyx_PyLong_As_npy_intp();
}
static npy_intp __Pyx_LargePyLong___Pyx_PyLong_As_npy_intp(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const npy_intp neg_one = (npy_intp) -1, const_zero = (npy_intp) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    npy_intp 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 (npy_intp) -1;
        assert(PyLong_CheckExact(v));
    }
    {
        int result = PyObject_RichCompareBool(v, Py_False, Py_LT);
        if (unlikely(result < 0)) {
            Py_DECREF(v);
            return (npy_intp) -1;
        }
        is_negative = result == 1;
    }
    if (is_unsigned && unlikely(is_negative)) {
        Py_DECREF(v);
        PyErr_SetString(PyExc_OverflowError,
            "can't convert negative value to npy_intp");
        return (npy_intp) -1;
    } else if (is_negative) {
        stepval = PyNumber_Invert(v);
        Py_DECREF(v);
        if (unlikely(!stepval))
            return (npy_intp) -1;
    } else {
        stepval = v;
    }
    v = NULL;
    val = (npy_intp) 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(npy_intp) * 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 |= ((npy_intp) 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(npy_intp) * 8) - bits - (is_unsigned ? 0 : 1);
        if (unlikely(idigit >= (1L << remaining_bits)))
            goto raise_overflow;
        val |= ((npy_intp) idigit) << bits;
    }
    if (!is_unsigned) {
        if (unlikely(val & (((npy_intp) 1) << (sizeof(npy_intp) * 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 (npy_intp) -1;
    return val;
raise_overflow:
    return __Pyx_raise_overflow___Pyx_PyLong_As_npy_intp();
}
static CYTHON_INLINE npy_intp __Pyx_PyLong___Pyx_PyLong_As_npy_intp(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const npy_intp neg_one = (npy_intp) -1, const_zero = (npy_intp) 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(npy_intp, __Pyx_compact_upylong, __Pyx_PyLong_CompactValueUnsigned(x))
        } else
        #endif
        {
            return __Pyx_PyULong___Pyx_PyLong_As_npy_intp(x);
        }
    } else {
        #if CYTHON_USE_PYLONG_INTERNALS
        if (__Pyx_PyLong_IsCompact(x)) {
            __PYX_VERIFY_RETURN_INT(npy_intp, __Pyx_compact_pylong, __Pyx_PyLong_CompactValue(x))
        } else
        #endif
        {
            return __Pyx_PySLong___Pyx_PyLong_As_npy_intp(x);
        }
    }
#if CYTHON_USE_PYLONG_INTERNALS
raise_neg_overflow:
    return __Pyx_raise_neg_overflow___Pyx_PyLong_As_npy_intp();
raise_overflow:
    return __Pyx_raise_overflow___Pyx_PyLong_As_npy_intp();
#endif
}
static npy_intp __Pyx_NonPyLong___Pyx_PyLong_As_npy_intp(PyObject *x) {
    npy_intp val;
    PyObject *tmp = __Pyx_PyNumber_Long(x);
    if (!tmp) return (npy_intp) -1;
    val = __Pyx_PyLong_As_npy_intp(tmp);
    Py_DECREF(tmp);
    return val;
}
static CYTHON_INLINE npy_intp __Pyx_PyLong_As_npy_intp(PyObject *x) {
    if (likely(PyLong_Check(x))) {
        return __Pyx_PyLong___Pyx_PyLong_As_npy_intp(x);
    } else {
        return __Pyx_NonPyLong___Pyx_PyLong_As_npy_intp(x);
    }
}
 
/* 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 */