/* Generated by Cython 3.2.1 */

/* BEGIN: Cython Metadata
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            "/tmp/build-env-yjjfqvjd/lib/python3.10/site-packages/numpy/_core/include/numpy/ufuncobject.h",
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  #define __PYX_IS_UNSIGNED(type) (((type)-1) > 0)
#endif
#if CYTHON_COMPILING_IN_PYPY == 1
  #define __PYX_NEED_TP_PRINT_SLOT  (PY_VERSION_HEX < 0x030A0000)
#else
  #define __PYX_NEED_TP_PRINT_SLOT  (PY_VERSION_HEX < 0x03090000)
#endif
#define __PYX_REINTERPRET_FUNCION(func_pointer, other_pointer) ((func_pointer)(void(*)(void))(other_pointer))

/* CppInitCode */
#ifndef __cplusplus
  #error "Cython files generated with the C++ option must be compiled with a C++ compiler."
#endif
#ifndef CYTHON_INLINE
  #if defined(__clang__)
    #define CYTHON_INLINE __inline__ __attribute__ ((__unused__))
  #else
    #define CYTHON_INLINE inline
  #endif
#endif
template<typename T>
void __Pyx_call_destructor(T& x) {
    x.~T();
}
template<typename T>
class __Pyx_FakeReference {
  public:
    __Pyx_FakeReference() : ptr(NULL) { }
    __Pyx_FakeReference(const T& ref) : ptr(const_cast<T*>(&ref)) { }
    T *operator->() { return ptr; }
    T *operator&() { return ptr; }
    operator T&() { return *ptr; }
    template<typename U> bool operator ==(const U& other) const { return *ptr == other; }
    template<typename U> bool operator !=(const U& other) const { return *ptr != other; }
    template<typename U> bool operator==(const __Pyx_FakeReference<U>& other) const { return *ptr == *other.ptr; }
    template<typename U> bool operator!=(const __Pyx_FakeReference<U>& other) const { return *ptr != *other.ptr; }
  private:
    T *ptr;
};

/* 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;
    #endif
    #ifndef CO_VARARGS
    static int CO_VARARGS;
    #endif
    #ifndef CO_VARKEYWORDS
    static int CO_VARKEYWORDS;
    #endif
    #ifndef CO_ASYNC_GENERATOR
    static int CO_ASYNC_GENERATOR;
    #endif
    #ifndef CO_GENERATOR
    static int CO_GENERATOR;
    #endif
    #ifndef CO_COROUTINE
    static int CO_COROUTINE;
    #endif
#else
    #ifndef CO_COROUTINE
      #define CO_COROUTINE 0x80
    #endif
    #ifndef CO_ASYNC_GENERATOR
      #define CO_ASYNC_GENERATOR 0x200
    #endif
#endif
static int __Pyx_init_co_variables(void);
#if PY_VERSION_HEX >= 0x030900A4 || defined(Py_IS_TYPE)
  #define __Pyx_IS_TYPE(ob, type) Py_IS_TYPE(ob, type)
#else
  #define __Pyx_IS_TYPE(ob, type) (((const PyObject*)ob)->ob_type == (type))
#endif
#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)
#endif
#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)
#endif
#define __Pyx_NoneAsNull(obj)  (__Pyx_Py_IsNone(obj) ? NULL : (obj))
#if PY_VERSION_HEX >= 0x030900F0 && !CYTHON_COMPILING_IN_PYPY
  #define __Pyx_PyObject_GC_IsFinalized(o) PyObject_GC_IsFinalized(o)
#else
  #define __Pyx_PyObject_GC_IsFinalized(o) _PyGC_FINALIZED(o)
#endif
#ifndef Py_TPFLAGS_CHECKTYPES
  #define Py_TPFLAGS_CHECKTYPES 0
#endif
#ifndef Py_TPFLAGS_HAVE_INDEX
  #define Py_TPFLAGS_HAVE_INDEX 0
#endif
#ifndef Py_TPFLAGS_HAVE_NEWBUFFER
  #define Py_TPFLAGS_HAVE_NEWBUFFER 0
#endif
#ifndef Py_TPFLAGS_HAVE_FINALIZE
  #define Py_TPFLAGS_HAVE_FINALIZE 0
#endif
#ifndef Py_TPFLAGS_SEQUENCE
  #define Py_TPFLAGS_SEQUENCE 0
#endif
#ifndef Py_TPFLAGS_MAPPING
  #define Py_TPFLAGS_MAPPING 0
#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
#ifndef METH_FASTCALL
  #ifndef METH_FASTCALL
     #define METH_FASTCALL 0x80
  #endif
  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
  #else
  #  define __Pyx_PyCFunctionFast _PyCFunctionFast
  #  define __Pyx_PyCFunctionFastWithKeywords _PyCFunctionFastWithKeywords
  #endif
#endif
#if CYTHON_METH_FASTCALL
  #define __Pyx_METH_FASTCALL METH_FASTCALL
  #define __Pyx_PyCFunction_FastCall __Pyx_PyCFunctionFast
  #define __Pyx_PyCFunction_FastCallWithKeywords __Pyx_PyCFunctionFastWithKeywords
#else
  #define __Pyx_METH_FASTCALL METH_VARARGS
  #define __Pyx_PyCFunction_FastCall PyCFunction
  #define __Pyx_PyCFunction_FastCallWithKeywords PyCFunctionWithKeywords
#endif
#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
#if PY_VERSION_HEX >= 0x030900B1
#define __Pyx_PyCFunction_CheckExact(func)  PyCFunction_CheckExact(func)
#else
#define __Pyx_PyCFunction_CheckExact(func)  PyCFunction_Check(func)
#endif
#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) {
    return (__Pyx_CyOrPyCFunction_GET_FLAGS(func) & METH_STATIC) ? NULL : ((PyCFunctionObject*)func)->m_self;
}
#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 PY_VERSION_HEX < 0x03090000 || (CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000)
  #define __Pyx_PyType_FromModuleAndSpec(m, s, b)  ((void)m, PyType_FromSpecWithBases(s, b))
  typedef PyObject *(*__Pyx_PyCMethod)(PyObject *, PyTypeObject *, PyObject *const *, size_t, PyObject *);
#else
  #define __Pyx_PyType_FromModuleAndSpec(m, s, b)  PyType_FromModuleAndSpec(m, s, b)
  #define __Pyx_PyCMethod  PyCMethod
#endif
#ifndef METH_METHOD
  #define METH_METHOD 0x200
#endif
#if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Malloc)
  #define PyObject_Malloc(s)   PyMem_Malloc(s)
  #define PyObject_Free(p)     PyMem_Free(p)
  #define PyObject_Realloc(p)  PyMem_Realloc(p)
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno)
#elif CYTHON_COMPILING_IN_GRAAL && defined(GRAALPY_VERSION_NUM) && GRAALPY_VERSION_NUM > 0x19000000
  #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno) GraalPyFrame_SetLineNumber((frame), (lineno))
#elif CYTHON_COMPILING_IN_GRAAL
  #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno) _PyFrame_SetLineNumber((frame), (lineno))
#else
  #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno)  (frame)->f_lineno = (lineno)
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx_PyThreadState_Current PyThreadState_Get()
#elif !CYTHON_FAST_THREAD_STATE
  #define __Pyx_PyThreadState_Current PyThreadState_GET()
#elif PY_VERSION_HEX >= 0x030d00A1
  #define __Pyx_PyThreadState_Current PyThreadState_GetUnchecked()
#else
  #define __Pyx_PyThreadState_Current _PyThreadState_UncheckedGet()
#endif
#if CYTHON_USE_MODULE_STATE
static CYTHON_INLINE void *__Pyx__PyModule_GetState(PyObject *op)
{
    void *result;
    result = PyModule_GetState(op);
    if (!result)
        Py_FatalError("Couldn't find the module state");
    return result;
}
#define __Pyx_PyModule_GetState(o) (__pyx_mstatetype *)__Pyx__PyModule_GetState(o)
#else
#define __Pyx_PyModule_GetState(op) ((void)op,__pyx_mstate_global)
#endif
#define __Pyx_PyObject_GetSlot(obj, name, func_ctype)  __Pyx_PyType_GetSlot(Py_TYPE((PyObject *) obj), name, func_ctype)
#define __Pyx_PyObject_TryGetSlot(obj, name, func_ctype) __Pyx_PyType_TryGetSlot(Py_TYPE(obj), name, func_ctype)
#define __Pyx_PyObject_GetSubSlot(obj, sub, name, func_ctype) __Pyx_PyType_GetSubSlot(Py_TYPE(obj), sub, name, func_ctype)
#define __Pyx_PyObject_TryGetSubSlot(obj, sub, name, func_ctype) __Pyx_PyType_TryGetSubSlot(Py_TYPE(obj), sub, name, func_ctype)
#if CYTHON_USE_TYPE_SLOTS
  #define __Pyx_PyType_GetSlot(type, name, func_ctype)  ((type)->name)
  #define __Pyx_PyType_TryGetSlot(type, name, func_ctype) __Pyx_PyType_GetSlot(type, name, func_ctype)
  #define __Pyx_PyType_GetSubSlot(type, sub, name, func_ctype) (((type)->sub) ? ((type)->sub->name) : NULL)
  #define __Pyx_PyType_TryGetSubSlot(type, sub, name, func_ctype) __Pyx_PyType_GetSubSlot(type, sub, name, func_ctype)
#else
  #define __Pyx_PyType_GetSlot(type, name, func_ctype)  ((func_ctype) PyType_GetSlot((type), Py_##name))
  #define __Pyx_PyType_TryGetSlot(type, name, func_ctype)\
    ((__PYX_LIMITED_VERSION_HEX >= 0x030A0000 ||\
     (PyType_GetFlags(type) & Py_TPFLAGS_HEAPTYPE) || __Pyx_get_runtime_version() >= 0x030A0000) ?\
     __Pyx_PyType_GetSlot(type, name, func_ctype) : NULL)
  #define __Pyx_PyType_GetSubSlot(obj, sub, name, func_ctype) __Pyx_PyType_GetSlot(obj, name, func_ctype)
  #define __Pyx_PyType_TryGetSubSlot(obj, sub, name, func_ctype) __Pyx_PyType_TryGetSlot(obj, name, func_ctype)
#endif
#if CYTHON_COMPILING_IN_CPYTHON || defined(_PyDict_NewPresized)
#define __Pyx_PyDict_NewPresized(n)  ((n <= 8) ? PyDict_New() : _PyDict_NewPresized(n))
#else
#define __Pyx_PyDict_NewPresized(n)  PyDict_New()
#endif
#define __Pyx_PyNumber_Divide(x,y)         PyNumber_TrueDivide(x,y)
#define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceTrueDivide(x,y)
#if CYTHON_COMPILING_IN_CPYTHON && CYTHON_USE_UNICODE_INTERNALS
#define __Pyx_PyDict_GetItemStrWithError(dict, name)  _PyDict_GetItem_KnownHash(dict, name, ((PyASCIIObject *) name)->hash)
static CYTHON_INLINE PyObject * __Pyx_PyDict_GetItemStr(PyObject *dict, PyObject *name) {
    PyObject *res = __Pyx_PyDict_GetItemStrWithError(dict, name);
    if (res == NULL) PyErr_Clear();
    return res;
}
#elif !CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07020000
#define __Pyx_PyDict_GetItemStrWithError  PyDict_GetItemWithError
#define __Pyx_PyDict_GetItemStr           PyDict_GetItem
#else
static CYTHON_INLINE PyObject * __Pyx_PyDict_GetItemStrWithError(PyObject *dict, PyObject *name) {
#if CYTHON_COMPILING_IN_PYPY
    return PyDict_GetItem(dict, name);
#else
    PyDictEntry *ep;
    PyDictObject *mp = (PyDictObject*) dict;
    long hash = ((PyStringObject *) name)->ob_shash;
    assert(hash != -1);
    ep = (mp->ma_lookup)(mp, name, hash);
    if (ep == NULL) {
        return NULL;
    }
    return ep->me_value;
#endif
}
#define __Pyx_PyDict_GetItemStr           PyDict_GetItem
#endif
#if CYTHON_USE_TYPE_SLOTS
  #define __Pyx_PyType_GetFlags(tp)   (((PyTypeObject *)tp)->tp_flags)
  #define __Pyx_PyType_HasFeature(type, feature)  ((__Pyx_PyType_GetFlags(type) & (feature)) != 0)
#else
  #define __Pyx_PyType_GetFlags(tp)   (PyType_GetFlags((PyTypeObject *)tp))
  #define __Pyx_PyType_HasFeature(type, feature)  PyType_HasFeature(type, feature)
#endif
#define __Pyx_PyObject_GetIterNextFunc(iterator)  __Pyx_PyObject_GetSlot(iterator, tp_iternext, iternextfunc)
#if CYTHON_USE_TYPE_SPECS
#define __Pyx_PyHeapTypeObject_GC_Del(obj)  {\
    PyTypeObject *type = Py_TYPE((PyObject*)obj);\
    assert(__Pyx_PyType_HasFeature(type, Py_TPFLAGS_HEAPTYPE));\
    PyObject_GC_Del(obj);\
    Py_DECREF(type);\
}
#else
#define __Pyx_PyHeapTypeObject_GC_Del(obj)  PyObject_GC_Del(obj)
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx_PyUnicode_READY(op)       (0)
  #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_ReadChar(u, i)
  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   ((void)u, 1114111U)
  #define __Pyx_PyUnicode_KIND(u)         ((void)u, (0))
  #define __Pyx_PyUnicode_DATA(u)         ((void*)u)
  #define __Pyx_PyUnicode_READ(k, d, i)   ((void)k, PyUnicode_ReadChar((PyObject*)(d), i))
  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GetLength(u))
#else
  #if PY_VERSION_HEX >= 0x030C0000
    #define __Pyx_PyUnicode_READY(op)       (0)
  #else
    #define __Pyx_PyUnicode_READY(op)       (likely(PyUnicode_IS_READY(op)) ?\
                                                0 : _PyUnicode_Ready((PyObject *)(op)))
  #endif
  #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_READ_CHAR(u, i)
  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   PyUnicode_MAX_CHAR_VALUE(u)
  #define __Pyx_PyUnicode_KIND(u)         ((int)PyUnicode_KIND(u))
  #define __Pyx_PyUnicode_DATA(u)         PyUnicode_DATA(u)
  #define __Pyx_PyUnicode_READ(k, d, i)   PyUnicode_READ(k, d, i)
  #define __Pyx_PyUnicode_WRITE(k, d, i, ch)  PyUnicode_WRITE(k, d, i, (Py_UCS4) ch)
  #if PY_VERSION_HEX >= 0x030C0000
    #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GET_LENGTH(u))
  #else
    #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03090000
    #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : ((PyCompactUnicodeObject *)(u))->wstr_length))
    #else
    #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : PyUnicode_GET_SIZE(u)))
    #endif
  #endif
#endif
#if CYTHON_COMPILING_IN_PYPY
  #define __Pyx_PyUnicode_Concat(a, b)      PyNumber_Add(a, b)
  #define __Pyx_PyUnicode_ConcatSafe(a, b)  PyNumber_Add(a, b)
#else
  #define __Pyx_PyUnicode_Concat(a, b)      PyUnicode_Concat(a, b)
  #define __Pyx_PyUnicode_ConcatSafe(a, b)  ((unlikely((a) == Py_None) || unlikely((b) == Py_None)) ?\
      PyNumber_Add(a, b) : __Pyx_PyUnicode_Concat(a, b))
#endif
#if CYTHON_COMPILING_IN_PYPY
  #if !defined(PyUnicode_DecodeUnicodeEscape)
    #define PyUnicode_DecodeUnicodeEscape(s, size, errors)  PyUnicode_Decode(s, size, "unicode_escape", errors)
  #endif
  #if !defined(PyUnicode_Contains)
    #define PyUnicode_Contains(u, s)  PySequence_Contains(u, s)
  #endif
  #if !defined(PyByteArray_Check)
    #define PyByteArray_Check(obj)  PyObject_TypeCheck(obj, &PyByteArray_Type)
  #endif
  #if !defined(PyObject_Format)
    #define PyObject_Format(obj, fmt)  PyObject_CallMethod(obj, "__format__", "O", fmt)
  #endif
#endif
#define __Pyx_PyUnicode_FormatSafe(a, b)  ((unlikely((a) == Py_None || (PyUnicode_Check(b) && !PyUnicode_CheckExact(b)))) ? PyNumber_Remainder(a, b) : PyUnicode_Format(a, b))
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030E0000
  #define __Pyx_PySequence_ListKeepNew(obj)\
    (likely(PyList_CheckExact(obj) && PyUnstable_Object_IsUniquelyReferenced(obj)) ? __Pyx_NewRef(obj) : PySequence_List(obj))
#elif CYTHON_COMPILING_IN_CPYTHON
  #define __Pyx_PySequence_ListKeepNew(obj)\
    (likely(PyList_CheckExact(obj) && Py_REFCNT(obj) == 1) ? __Pyx_NewRef(obj) : PySequence_List(obj))
#else
  #define __Pyx_PySequence_ListKeepNew(obj)  PySequence_List(obj)
#endif
#ifndef PySet_CheckExact
  #define PySet_CheckExact(obj)        __Pyx_IS_TYPE(obj, &PySet_Type)
#endif
#if PY_VERSION_HEX >= 0x030900A4
  #define __Pyx_SET_REFCNT(obj, refcnt) Py_SET_REFCNT(obj, refcnt)
  #define __Pyx_SET_SIZE(obj, size) Py_SET_SIZE(obj, size)
#else
  #define __Pyx_SET_REFCNT(obj, refcnt) Py_REFCNT(obj) = (refcnt)
  #define __Pyx_SET_SIZE(obj, size) Py_SIZE(obj) = (size)
#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 CYTHON_AVOID_BORROWED_REFS || CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS
  #if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
    #define __Pyx_PyList_GetItemRef(o, i) PyList_GetItemRef(o, i)
  #elif CYTHON_COMPILING_IN_LIMITED_API || !CYTHON_ASSUME_SAFE_MACROS
    #define __Pyx_PyList_GetItemRef(o, i) (likely((i) >= 0) ? PySequence_GetItem(o, i) : (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL))
  #else
    #define __Pyx_PyList_GetItemRef(o, i) PySequence_ITEM(o, i)
  #endif
#elif CYTHON_COMPILING_IN_LIMITED_API || !CYTHON_ASSUME_SAFE_MACROS
  #if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
    #define __Pyx_PyList_GetItemRef(o, i) PyList_GetItemRef(o, i)
  #else
    #define __Pyx_PyList_GetItemRef(o, i) __Pyx_XNewRef(PyList_GetItem(o, i))
  #endif
#else
  #define __Pyx_PyList_GetItemRef(o, i) __Pyx_NewRef(PyList_GET_ITEM(o, i))
#endif
#if CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS && !CYTHON_COMPILING_IN_LIMITED_API && CYTHON_ASSUME_SAFE_MACROS
  #define __Pyx_PyList_GetItemRefFast(o, i, unsafe_shared) (__Pyx_IS_UNIQUELY_REFERENCED(o, unsafe_shared) ?\
    __Pyx_NewRef(PyList_GET_ITEM(o, i)) : __Pyx_PyList_GetItemRef(o, i))
#else
  #define __Pyx_PyList_GetItemRefFast(o, i, unsafe_shared) __Pyx_PyList_GetItemRef(o, i)
#endif
#if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
#define __Pyx_PyDict_GetItemRef(dict, key, result) PyDict_GetItemRef(dict, key, result)
#elif CYTHON_AVOID_BORROWED_REFS || CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS
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  #define __Pyx_VISIT_CONST(obj)
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  #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)
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  #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)
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  #define __Pyx_PyTuple_GET_SIZE(o) PyTuple_Size(o)
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  #define __Pyx_PyByteArray_GET_SIZE(o) PyByteArray_Size(o)
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#if CYTHON_COMPILING_IN_PYPY && !defined(PyUnicode_InternFromString)
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#define __Pyx_PyLong_FromHash_t PyLong_FromSsize_t
#define __Pyx_PyLong_AsHash_t   __Pyx_PyIndex_AsSsize_t
#if __PYX_LIMITED_VERSION_HEX >= 0x030A0000
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    typedef enum {
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#if CYTHON_COMPILING_IN_LIMITED_API || PY_VERSION_HEX < 0x030A00A3
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#if !CYTHON_USE_AM_SEND
#define __PYX_HAS_PY_AM_SEND 0
#elif __PYX_LIMITED_VERSION_HEX >= 0x030A0000
#define __PYX_HAS_PY_AM_SEND 1
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#define __PYX_HAS_PY_AM_SEND 2  // our own backported implementation
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#if PY_VERSION_HEX >= 0x03090000
#define __Pyx_PyInterpreterState_Get() PyInterpreterState_Get()
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#define __Pyx_PyInterpreterState_Get() PyThreadState_Get()->interp
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#if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030A0000
#ifdef __cplusplus
extern "C"
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PyAPI_FUNC(void *) PyMem_Calloc(size_t nelem, size_t elsize);
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static int __Pyx_init_co_variable(PyObject *inspect, const char* name, int *write_to) {
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static int __Pyx_init_co_variables(void) {
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/* MathInitCode */
#if defined(_WIN32) || defined(WIN32) || defined(MS_WINDOWS)
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    #define _USE_MATH_DEFINES
  #endif
#endif
#include <math.h>
#if defined(__CYGWIN__) && defined(_LDBL_EQ_DBL)
#define __Pyx_truncl trunc
#else
#define __Pyx_truncl truncl
#endif

#ifndef CYTHON_CLINE_IN_TRACEBACK_RUNTIME
#define CYTHON_CLINE_IN_TRACEBACK_RUNTIME 0
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#elif defined(__PYX_EXTERN_C)
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#define __PYX_HAVE__pygsti__evotypes__densitymx__opreps
#define __PYX_HAVE_API__pygsti__evotypes__densitymx__opreps
/* Early includes */
#include <string.h>
#include <stdlib.h>
#include <math.h>
#include <stddef.h>
#include <time.h>
#include "ios"
#include "new"
#include "stdexcept"
#include "typeinfo"
#include <vector>
#include <utility>

    #if __cplusplus >= 201103L || (defined(_MSC_VER) && _MSC_VER >= 1600)
    // move should be defined for these versions of MSVC, but __cplusplus isn't set usefully
    #include <type_traits>

    namespace cython_std {
    template <typename T> typename std::remove_reference<T>::type&& move(T& t) noexcept { return std::move(t); }
    template <typename T> typename std::remove_reference<T>::type&& move(T&& t) noexcept { return std::move(t); }
    }

    #endif
    
#include <algorithm>
#include <unordered_map>
#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 "basecreps.h"
#include "statecreps.h"
#include "opcreps.h"
#ifdef _OPENMP
#include <omp.h>
#endif /* _OPENMP */

#if defined(PYREX_WITHOUT_ASSERTIONS) && !defined(CYTHON_WITHOUT_ASSERTIONS)
#define CYTHON_WITHOUT_ASSERTIONS
#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)  &&\
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          (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) {
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}
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    #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)
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#elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
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#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))
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    #define __Pyx_PyBytes_AsWritableSString(s)    ((signed char*) PyBytes_AsString(s))
    #define __Pyx_PyBytes_AsWritableUString(s)    ((unsigned char*) PyBytes_AsString(s))
    #define __Pyx_PyBytes_AsString(s)     ((const char*) PyBytes_AsString(s))
    #define __Pyx_PyBytes_AsSString(s)    ((const signed char*) PyBytes_AsString(s))
    #define __Pyx_PyBytes_AsUString(s)    ((const unsigned char*) PyBytes_AsString(s))
    #define __Pyx_PyByteArray_AsString(s) PyByteArray_AsString(s)
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#define __Pyx_PyObject_AsWritableString(s)    ((char*)(__pyx_uintptr_t) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsWritableSString(s)    ((signed char*)(__pyx_uintptr_t) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsWritableUString(s)    ((unsigned char*)(__pyx_uintptr_t) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsSString(s)    ((const signed char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsUString(s)    ((const unsigned char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_FromCString(s)  __Pyx_PyObject_FromString((const char*)s)
#define __Pyx_PyBytes_FromCString(s)   __Pyx_PyBytes_FromString((const char*)s)
#define __Pyx_PyByteArray_FromCString(s)   __Pyx_PyByteArray_FromString((const char*)s)
#define __Pyx_PyUnicode_FromCString(s) __Pyx_PyUnicode_FromString((const char*)s)
#define __Pyx_PyUnicode_FromOrdinal(o)       PyUnicode_FromOrdinal((int)o)
#define __Pyx_PyUnicode_AsUnicode            PyUnicode_AsUnicode
static CYTHON_INLINE PyObject *__Pyx_NewRef(PyObject *obj) {
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static CYTHON_INLINE PyObject *__Pyx_XNewRef(PyObject *obj) {
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#else
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    return obj;
#endif
}
static CYTHON_INLINE PyObject *__Pyx_Owned_Py_None(int b);
static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b);
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject*);
static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject*);
static CYTHON_INLINE PyObject* __Pyx_PyNumber_Long(PyObject* x);
#define __Pyx_PySequence_Tuple(obj)\
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static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);
static CYTHON_INLINE PyObject * __Pyx_PyLong_FromSize_t(size_t);
static CYTHON_INLINE Py_hash_t __Pyx_PyIndex_AsHash_t(PyObject*);
#if CYTHON_ASSUME_SAFE_MACROS
#define __Pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x))
#define __Pyx_PyFloat_AS_DOUBLE(x) PyFloat_AS_DOUBLE(x)
#else
#define __Pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x)
#define __Pyx_PyFloat_AS_DOUBLE(x) PyFloat_AsDouble(x)
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#define __Pyx_PyFloat_AsFloat(x) ((float) __Pyx_PyFloat_AsDouble(x))
#define __Pyx_PyNumber_Int(x) (PyLong_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Long(x))
#if CYTHON_USE_PYLONG_INTERNALS
  #if PY_VERSION_HEX >= 0x030C00A7
  #ifndef _PyLong_SIGN_MASK
    #define _PyLong_SIGN_MASK 3
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  #ifndef _PyLong_NON_SIZE_BITS
    #define _PyLong_NON_SIZE_BITS 3
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  #define __Pyx_PyLong_Sign(x)  (((PyLongObject*)x)->long_value.lv_tag & _PyLong_SIGN_MASK)
  #define __Pyx_PyLong_IsNeg(x)  ((__Pyx_PyLong_Sign(x) & 2) != 0)
  #define __Pyx_PyLong_IsNonNeg(x)  (!__Pyx_PyLong_IsNeg(x))
  #define __Pyx_PyLong_IsZero(x)  (__Pyx_PyLong_Sign(x) & 1)
  #define __Pyx_PyLong_IsPos(x)  (__Pyx_PyLong_Sign(x) == 0)
  #define __Pyx_PyLong_CompactValueUnsigned(x)  (__Pyx_PyLong_Digits(x)[0])
  #define __Pyx_PyLong_DigitCount(x)  ((Py_ssize_t) (((PyLongObject*)x)->long_value.lv_tag >> _PyLong_NON_SIZE_BITS))
  #define __Pyx_PyLong_SignedDigitCount(x)\
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  #if defined(PyUnstable_Long_IsCompact) && defined(PyUnstable_Long_CompactValue)
    #define __Pyx_PyLong_IsCompact(x)     PyUnstable_Long_IsCompact((PyLongObject*) x)
    #define __Pyx_PyLong_CompactValue(x)  PyUnstable_Long_CompactValue((PyLongObject*) x)
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    #define __Pyx_PyLong_IsCompact(x)     (((PyLongObject*)x)->long_value.lv_tag < (2 << _PyLong_NON_SIZE_BITS))
    #define __Pyx_PyLong_CompactValue(x)  ((1 - (Py_ssize_t) __Pyx_PyLong_Sign(x)) * (Py_ssize_t) __Pyx_PyLong_Digits(x)[0])
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  #define __Pyx_PyLong_IsNonNeg(x)  (Py_SIZE(x) >= 0)
  #define __Pyx_PyLong_IsZero(x)  (Py_SIZE(x) == 0)
  #define __Pyx_PyLong_IsPos(x)  (Py_SIZE(x) > 0)
  #define __Pyx_PyLong_CompactValueUnsigned(x)  ((Py_SIZE(x) == 0) ? 0 : __Pyx_PyLong_Digits(x)[0])
  #define __Pyx_PyLong_DigitCount(x)  __Pyx_sst_abs(Py_SIZE(x))
  #define __Pyx_PyLong_SignedDigitCount(x)  Py_SIZE(x)
  #define __Pyx_PyLong_IsCompact(x)  (Py_SIZE(x) == 0 || Py_SIZE(x) == 1 || Py_SIZE(x) == -1)
  #define __Pyx_PyLong_CompactValue(x)\
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  #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
#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)
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  #define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_Decode(c_str, size, __PYX_DEFAULT_STRING_ENCODING, NULL)
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/* Test for GCC > 2.95 */
#if defined(__GNUC__)     && (__GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95)))
  #define likely(x)   __builtin_expect(!!(x), 1)
  #define unlikely(x) __builtin_expect(!!(x), 0)
#else /* !__GNUC__ or GCC < 2.95 */
  #define likely(x)   (x)
  #define unlikely(x) (x)
#endif /* __GNUC__ */
/* PretendToInitialize */
#ifdef __cplusplus
#if __cplusplus > 201103L
#include <type_traits>
#endif
template <typename T>
static void __Pyx_pretend_to_initialize(T* ptr) {
#if __cplusplus > 201103L
    if ((std::is_trivially_default_constructible<T>::value))
#endif
        *ptr = T();
    (void)ptr;
}
#else
static CYTHON_INLINE void __Pyx_pretend_to_initialize(void* ptr) { (void)ptr; }
#endif


#if !CYTHON_USE_MODULE_STATE
static PyObject *__pyx_m = NULL;
#endif
static int __pyx_lineno;
static int __pyx_clineno = 0;
static const char * const __pyx_cfilenm = __FILE__;
static const char *__pyx_filename;

/* 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
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    #define CYTHON_CCOMPLEX 0
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#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[] = {
  "pygsti/evotypes/densitymx/opreps.pyx",
  "../../../../../tmp/build-env-yjjfqvjd/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd",
  "<stringsource>",
  "cpython/type.pxd",
  "pygsti/evotypes/basereps_cython.pxd",
  "pygsti/evotypes/densitymx/statereps.pxd",
};
/* #### Code section: utility_code_proto_before_types ### */
/* Atomics.proto (used by UnpackUnboundCMethod) */
#include <pythread.h>
#ifndef CYTHON_ATOMICS
    #define CYTHON_ATOMICS 1
#endif
#define __PYX_CYTHON_ATOMICS_ENABLED() CYTHON_ATOMICS
#define __PYX_GET_CYTHON_COMPILING_IN_CPYTHON_FREETHREADING() CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
#define __pyx_atomic_int_type int
#define __pyx_nonatomic_int_type int
#if CYTHON_ATOMICS && (defined(__STDC_VERSION__) &&\
                        (__STDC_VERSION__ >= 201112L) &&\
                        !defined(__STDC_NO_ATOMICS__))
    #include <stdatomic.h>
#elif CYTHON_ATOMICS && (defined(__cplusplus) && (\
                    (__cplusplus >= 201103L) ||\
                    (defined(_MSC_VER) && _MSC_VER >= 1700)))
    #include <atomic>
#endif
#if CYTHON_ATOMICS && (defined(__STDC_VERSION__) &&\
                        (__STDC_VERSION__ >= 201112L) &&\
                        !defined(__STDC_NO_ATOMICS__) &&\
                       ATOMIC_INT_LOCK_FREE == 2)
    #undef __pyx_atomic_int_type
    #define __pyx_atomic_int_type atomic_int
    #define __pyx_atomic_ptr_type atomic_uintptr_t
    #define __pyx_nonatomic_ptr_type uintptr_t
    #define __pyx_atomic_incr_relaxed(value) atomic_fetch_add_explicit(value, 1, memory_order_relaxed)
    #define __pyx_atomic_incr_acq_rel(value) atomic_fetch_add_explicit(value, 1, memory_order_acq_rel)
    #define __pyx_atomic_decr_acq_rel(value) atomic_fetch_sub_explicit(value, 1, memory_order_acq_rel)
    #define __pyx_atomic_sub(value, arg) atomic_fetch_sub(value, arg)
    #define __pyx_atomic_int_cmp_exchange(value, expected, desired) atomic_compare_exchange_strong(value, expected, desired)
    #define __pyx_atomic_load(value) atomic_load(value)
    #define __pyx_atomic_store(value, new_value) atomic_store(value, new_value)
    #define __pyx_atomic_pointer_load_relaxed(value) atomic_load_explicit(value, memory_order_relaxed)
    #define __pyx_atomic_pointer_load_acquire(value) atomic_load_explicit(value, memory_order_acquire)
    #define __pyx_atomic_pointer_exchange(value, new_value) atomic_exchange(value, (__pyx_nonatomic_ptr_type)new_value)
    #define __pyx_atomic_pointer_cmp_exchange(value, expected, desired) atomic_compare_exchange_strong(value, expected, desired)
    #if defined(__PYX_DEBUG_ATOMICS) && defined(_MSC_VER)
        #pragma message ("Using standard C atomics")
    #elif defined(__PYX_DEBUG_ATOMICS)
        #warning "Using standard C atomics"
    #endif
#elif CYTHON_ATOMICS && (defined(__cplusplus) && (\
                    (__cplusplus >= 201103L) ||\
\
                    (defined(_MSC_VER) && _MSC_VER >= 1700)) &&\
                    ATOMIC_INT_LOCK_FREE == 2)
    #undef __pyx_atomic_int_type
    #define __pyx_atomic_int_type std::atomic_int
    #define __pyx_atomic_ptr_type std::atomic_uintptr_t
    #define __pyx_nonatomic_ptr_type uintptr_t
    #define __pyx_atomic_incr_relaxed(value) std::atomic_fetch_add_explicit(value, 1, std::memory_order_relaxed)
    #define __pyx_atomic_incr_acq_rel(value) std::atomic_fetch_add_explicit(value, 1, std::memory_order_acq_rel)
    #define __pyx_atomic_decr_acq_rel(value) std::atomic_fetch_sub_explicit(value, 1, std::memory_order_acq_rel)
    #define __pyx_atomic_sub(value, arg) std::atomic_fetch_sub(value, arg)
    #define __pyx_atomic_int_cmp_exchange(value, expected, desired) std::atomic_compare_exchange_strong(value, expected, desired)
    #define __pyx_atomic_load(value) std::atomic_load(value)
    #define __pyx_atomic_store(value, new_value) std::atomic_store(value, new_value)
    #define __pyx_atomic_pointer_load_relaxed(value) std::atomic_load_explicit(value, std::memory_order_relaxed)
    #define __pyx_atomic_pointer_load_acquire(value) std::atomic_load_explicit(value, std::memory_order_acquire)
    #define __pyx_atomic_pointer_exchange(value, new_value) std::atomic_exchange(value, (__pyx_nonatomic_ptr_type)new_value)
    #define __pyx_atomic_pointer_cmp_exchange(value, expected, desired) std::atomic_compare_exchange_strong(value, expected, desired)
    #if defined(__PYX_DEBUG_ATOMICS) && defined(_MSC_VER)
        #pragma message ("Using standard C++ atomics")
    #elif defined(__PYX_DEBUG_ATOMICS)
        #warning "Using standard C++ atomics"
    #endif
#elif CYTHON_ATOMICS && (__GNUC__ >= 5 || (__GNUC__ == 4 &&\
                    (__GNUC_MINOR__ > 1 ||\
                    (__GNUC_MINOR__ == 1 && __GNUC_PATCHLEVEL__ >= 2))))
    #define __pyx_atomic_ptr_type void*
    #define __pyx_nonatomic_ptr_type void*
    #define __pyx_atomic_incr_relaxed(value) __sync_fetch_and_add(value, 1)
    #define __pyx_atomic_incr_acq_rel(value) __sync_fetch_and_add(value, 1)
    #define __pyx_atomic_decr_acq_rel(value) __sync_fetch_and_sub(value, 1)
    #define __pyx_atomic_sub(value, arg) __sync_fetch_and_sub(value, arg)
    static CYTHON_INLINE int __pyx_atomic_int_cmp_exchange(__pyx_atomic_int_type* value, __pyx_nonatomic_int_type* expected, __pyx_nonatomic_int_type desired) {
        __pyx_nonatomic_int_type old = __sync_val_compare_and_swap(value, *expected, desired);
        int result = old == *expected;
        *expected = old;
        return result;
    }
    #define __pyx_atomic_load(value) __sync_fetch_and_add(value, 0)
    #define __pyx_atomic_store(value, new_value) __sync_lock_test_and_set(value, new_value)
    #define __pyx_atomic_pointer_load_relaxed(value) __sync_fetch_and_add(value, 0)
    #define __pyx_atomic_pointer_load_acquire(value) __sync_fetch_and_add(value, 0)
    #define __pyx_atomic_pointer_exchange(value, new_value) __sync_lock_test_and_set(value, (__pyx_atomic_ptr_type)new_value)
    static CYTHON_INLINE int __pyx_atomic_pointer_cmp_exchange(__pyx_atomic_ptr_type* value, __pyx_nonatomic_ptr_type* expected, __pyx_nonatomic_ptr_type desired) {
        __pyx_nonatomic_ptr_type old = __sync_val_compare_and_swap(value, *expected, desired);
        int result = old == *expected;
        *expected = old;
        return result;
    }
    #ifdef __PYX_DEBUG_ATOMICS
        #warning "Using GNU atomics"
    #endif
#elif CYTHON_ATOMICS && defined(_MSC_VER)
    #include <intrin.h>
    #undef __pyx_atomic_int_type
    #define __pyx_atomic_int_type long
    #define __pyx_atomic_ptr_type void*
    #undef __pyx_nonatomic_int_type
    #define __pyx_nonatomic_int_type long
    #define __pyx_nonatomic_ptr_type void*
    #pragma intrinsic (_InterlockedExchangeAdd, _InterlockedExchange, _InterlockedCompareExchange, _InterlockedCompareExchangePointer, _InterlockedExchangePointer)
    #define __pyx_atomic_incr_relaxed(value) _InterlockedExchangeAdd(value, 1)
    #define __pyx_atomic_incr_acq_rel(value) _InterlockedExchangeAdd(value, 1)
    #define __pyx_atomic_decr_acq_rel(value) _InterlockedExchangeAdd(value, -1)
    #define __pyx_atomic_sub(value, arg) _InterlockedExchangeAdd(value, -arg)
    static CYTHON_INLINE int __pyx_atomic_int_cmp_exchange(__pyx_atomic_int_type* value, __pyx_nonatomic_int_type* expected, __pyx_nonatomic_int_type desired) {
        __pyx_nonatomic_int_type old = _InterlockedCompareExchange(value, desired, *expected);
        int result = old == *expected;
        *expected = old;
        return result;
    }
    #define __pyx_atomic_load(value) _InterlockedExchangeAdd(value, 0)
    #define __pyx_atomic_store(value, new_value) _InterlockedExchange(value, new_value)
    #define __pyx_atomic_pointer_load_relaxed(value) *(void * volatile *)value
    #define __pyx_atomic_pointer_load_acquire(value) _InterlockedCompareExchangePointer(value, 0, 0)
    #define __pyx_atomic_pointer_exchange(value, new_value) _InterlockedExchangePointer(value, (__pyx_atomic_ptr_type)new_value)
    static CYTHON_INLINE int __pyx_atomic_pointer_cmp_exchange(__pyx_atomic_ptr_type* value, __pyx_nonatomic_ptr_type* expected, __pyx_nonatomic_ptr_type desired) {
        __pyx_atomic_ptr_type old = _InterlockedCompareExchangePointer(value, desired, *expected);
        int result = old == *expected;
        *expected = old;
        return result;
    }
    #ifdef __PYX_DEBUG_ATOMICS
        #pragma message ("Using MSVC atomics")
    #endif
#else
    #undef CYTHON_ATOMICS
    #define CYTHON_ATOMICS 0
    #ifdef __PYX_DEBUG_ATOMICS
        #warning "Not using atomics"
    #endif
#endif

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

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

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

/* 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;

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

/* "../../../../../tmp/build-env-yjjfqvjd/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":787
 * # 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;

/* "../../../../../tmp/build-env-yjjfqvjd/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":788
 * 
 * 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;

/* "../../../../../tmp/build-env-yjjfqvjd/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":789
 * ctypedef npy_int8       int8_t
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int64      int64_t
 * #ctypedef npy_int96      int96_t
*/
typedef npy_int32 __pyx_t_5numpy_int32_t;

/* "../../../../../tmp/build-env-yjjfqvjd/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":790
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t
 * ctypedef npy_int64      int64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_int96      int96_t
 * #ctypedef npy_int128     int128_t
*/
typedef npy_int64 __pyx_t_5numpy_int64_t;

/* "../../../../../tmp/build-env-yjjfqvjd/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":794
 * #ctypedef npy_int128     int128_t
 * 
 * ctypedef npy_uint8      uint8_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t
*/
typedef npy_uint8 __pyx_t_5numpy_uint8_t;

/* "../../../../../tmp/build-env-yjjfqvjd/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":795
 * 
 * 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;

/* "../../../../../tmp/build-env-yjjfqvjd/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":796
 * ctypedef npy_uint8      uint8_t
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint64     uint64_t
 * #ctypedef npy_uint96     uint96_t
*/
typedef npy_uint32 __pyx_t_5numpy_uint32_t;

/* "../../../../../tmp/build-env-yjjfqvjd/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":797
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t
 * ctypedef npy_uint64     uint64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_uint96     uint96_t
 * #ctypedef npy_uint128    uint128_t
*/
typedef npy_uint64 __pyx_t_5numpy_uint64_t;

/* "../../../../../tmp/build-env-yjjfqvjd/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":801
 * #ctypedef npy_uint128    uint128_t
 * 
 * ctypedef npy_float32    float32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_float64    float64_t
 * #ctypedef npy_float80    float80_t
*/
typedef npy_float32 __pyx_t_5numpy_float32_t;

/* "../../../../../tmp/build-env-yjjfqvjd/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":802
 * 
 * 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;

/* "../../../../../tmp/build-env-yjjfqvjd/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":809
 * ctypedef double complex complex128_t
 * 
 * ctypedef npy_longlong   longlong_t             # <<<<<<<<<<<<<<
 * ctypedef npy_ulonglong  ulonglong_t
 * 
*/
typedef npy_longlong __pyx_t_5numpy_longlong_t;

/* "../../../../../tmp/build-env-yjjfqvjd/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":810
 * 
 * ctypedef npy_longlong   longlong_t
 * ctypedef npy_ulonglong  ulonglong_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_intp       intp_t
*/
typedef npy_ulonglong __pyx_t_5numpy_ulonglong_t;

/* "../../../../../tmp/build-env-yjjfqvjd/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":812
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 * ctypedef npy_intp       intp_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uintp      uintp_t
 * 
*/
typedef npy_intp __pyx_t_5numpy_intp_t;

/* "../../../../../tmp/build-env-yjjfqvjd/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":813
 * 
 * ctypedef npy_intp       intp_t
 * ctypedef npy_uintp      uintp_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_double     float_t
*/
typedef npy_uintp __pyx_t_5numpy_uintp_t;

/* "../../../../../tmp/build-env-yjjfqvjd/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":815
 * 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;

/* "../../../../../tmp/build-env-yjjfqvjd/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":816
 * 
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longdouble longdouble_t
 * 
*/
typedef npy_double __pyx_t_5numpy_double_t;

/* "../../../../../tmp/build-env-yjjfqvjd/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":817
 * 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;

/* "basereps_cython.pxd":23
 * 
 * #Use 64-bit integers
 * ctypedef long long INT             # <<<<<<<<<<<<<<
 * ctypedef unsigned long long UINT
 * 
*/
typedef PY_LONG_LONG __pyx_t_6pygsti_8evotypes_15basereps_cython_INT;

/* "basereps_cython.pxd":24
 * #Use 64-bit integers
 * ctypedef long long INT
 * ctypedef unsigned long long UINT             # <<<<<<<<<<<<<<
 * 
 * 
*/
typedef unsigned PY_LONG_LONG __pyx_t_6pygsti_8evotypes_15basereps_cython_UINT;

/* "statereps.pxd":15
 * 
 * #Use 64-bit integers
 * ctypedef long long INT             # <<<<<<<<<<<<<<
 * ctypedef unsigned long long UINT
 * 
*/
typedef PY_LONG_LONG __pyx_t_6pygsti_8evotypes_9densitymx_9statereps_INT;

/* "statereps.pxd":16
 * #Use 64-bit integers
 * ctypedef long long INT
 * ctypedef unsigned long long UINT             # <<<<<<<<<<<<<<
 * 
 * cdef extern from "statecreps.h" namespace "CReps_densitymx":
*/
typedef unsigned PY_LONG_LONG __pyx_t_6pygsti_8evotypes_9densitymx_9statereps_UINT;

/* "pygsti/evotypes/densitymx/opreps.pxd":27
 * 
 * #Use 64-bit integers
 * ctypedef long long INT             # <<<<<<<<<<<<<<
 * ctypedef unsigned long long UINT
 * 
*/
typedef PY_LONG_LONG __pyx_t_6pygsti_8evotypes_9densitymx_6opreps_INT;

/* "pygsti/evotypes/densitymx/opreps.pxd":28
 * #Use 64-bit integers
 * ctypedef long long INT
 * ctypedef unsigned long long UINT             # <<<<<<<<<<<<<<
 * 
 * 
*/
typedef unsigned PY_LONG_LONG __pyx_t_6pygsti_8evotypes_9densitymx_6opreps_UINT;
/* #### Code section: complex_type_declarations ### */
/* Declarations.proto */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
  #ifdef __cplusplus
    typedef ::std::complex< float > __pyx_t_float_complex;
  #else
    typedef float _Complex __pyx_t_float_complex;
  #endif
#else
    typedef struct { float real, imag; } __pyx_t_float_complex;
#endif
static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float, float);

/* Declarations.proto */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
  #ifdef __cplusplus
    typedef ::std::complex< double > __pyx_t_double_complex;
  #else
    typedef double _Complex __pyx_t_double_complex;
  #endif
#else
    typedef struct { double real, imag; } __pyx_t_double_complex;
#endif
static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double, double);

/* Declarations.proto */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
  #ifdef __cplusplus
    typedef ::std::complex< long double > __pyx_t_long_double_complex;
  #else
    typedef long double _Complex __pyx_t_long_double_complex;
  #endif
#else
    typedef struct { long double real, imag; } __pyx_t_long_double_complex;
#endif
static CYTHON_INLINE __pyx_t_long_double_complex __pyx_t_long_double_complex_from_parts(long double, long double);

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

/*--- Type declarations ---*/
struct __pyx_obj_6pygsti_8evotypes_15basereps_cython_OpRep;
struct __pyx_obj_6pygsti_8evotypes_15basereps_cython_StateRep;
struct __pyx_obj_6pygsti_8evotypes_15basereps_cython_EffectRep;
struct __pyx_obj_6pygsti_8evotypes_15basereps_cython_TermRep;
struct __pyx_obj_6pygsti_8evotypes_15basereps_cython_PolynomialRep;
struct __pyx_obj_6pygsti_8evotypes_9densitymx_9statereps_StateRep;
struct __pyx_obj_6pygsti_8evotypes_9densitymx_9statereps_StateRepDense;
struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRep;
struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop;
struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseUnitary;
struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepSparse;
struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepStandard;
struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepKraus;
struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepRandomUnitary;
struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepStochastic;
struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepComposed;
struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepSum;
struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl;
struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepEmbedded;
struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepExpErrorgen;
struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepRepeated;
struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps___pyx_scope_struct__aslinearoperator;

/* "pygsti/evotypes/densitymx/opreps.pxd":91
 *     cdef public object state_space
 * 
 * ctypedef OpCRep* OpCRep_ptr             # <<<<<<<<<<<<<<
*/
typedef CReps_densitymx::OpCRep *__pyx_t_6pygsti_8evotypes_9densitymx_6opreps_OpCRep_ptr;

/* "basereps_cython.pxd":27
 * 
 * 
 * cdef class OpRep:             # <<<<<<<<<<<<<<
 *     pass
 * 
*/
struct __pyx_obj_6pygsti_8evotypes_15basereps_cython_OpRep {
  PyObject_HEAD
};


/* "basereps_cython.pxd":30
 *     pass
 * 
 * cdef class StateRep:             # <<<<<<<<<<<<<<
 *     pass
 * 
*/
struct __pyx_obj_6pygsti_8evotypes_15basereps_cython_StateRep {
  PyObject_HEAD
};


/* "basereps_cython.pxd":33
 *     pass
 * 
 * cdef class EffectRep:             # <<<<<<<<<<<<<<
 *     pass
 * 
*/
struct __pyx_obj_6pygsti_8evotypes_15basereps_cython_EffectRep {
  PyObject_HEAD
};


/* "basereps_cython.pxd":36
 *     pass
 * 
 * cdef class TermRep:             # <<<<<<<<<<<<<<
 *     pass
 * 
*/
struct __pyx_obj_6pygsti_8evotypes_15basereps_cython_TermRep {
  PyObject_HEAD
};


/* "basereps_cython.pxd":64
 * 
 * 
 * cdef class PolynomialRep:             # <<<<<<<<<<<<<<
 *     cdef PolynomialCRep* c_polynomial
 * 
*/
struct __pyx_obj_6pygsti_8evotypes_15basereps_cython_PolynomialRep {
  PyObject_HEAD
  CReps::PolynomialCRep *c_polynomial;
};


/* "statereps.pxd":29
 * 
 * 
 * cdef class StateRep(_basereps_cython.StateRep):             # <<<<<<<<<<<<<<
 *     cdef StateCRep* c_state
 *     cdef public _np.ndarray data
*/
struct __pyx_obj_6pygsti_8evotypes_9densitymx_9statereps_StateRep {
  struct __pyx_obj_6pygsti_8evotypes_15basereps_cython_StateRep __pyx_base;
  CReps_densitymx::StateCRep *c_state;
  PyArrayObject *data;
  PyObject *state_space;
};


/* "statereps.pxd":35
 *     #cdef double [:] data_view # alt way to hold a reference
 * 
 * cdef class StateRepDense(StateRep):             # <<<<<<<<<<<<<<
 *     pass
*/
struct __pyx_obj_6pygsti_8evotypes_9densitymx_9statereps_StateRepDense {
  struct __pyx_obj_6pygsti_8evotypes_9densitymx_9statereps_StateRep __pyx_base;
};


/* "pygsti/evotypes/densitymx/opreps.pxd":87
 * 
 * 
 * cdef class OpRep(_basereps_cython.OpRep):             # <<<<<<<<<<<<<<
 *     cdef OpCRep* c_rep
 *     cdef public object state_space
*/
struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRep {
  struct __pyx_obj_6pygsti_8evotypes_15basereps_cython_OpRep __pyx_base;
  CReps_densitymx::OpCRep *c_rep;
  PyObject *state_space;
};


/* "pygsti/evotypes/densitymx/opreps.pyx":75
 * 
 * 
 * cdef class OpRepDenseSuperop(OpRep):             # <<<<<<<<<<<<<<
 *     cdef public _np.ndarray base
 *     cdef public object basis
*/
struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop {
  struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRep __pyx_base;
  PyArrayObject *base;
  PyObject *basis;
};


/* "pygsti/evotypes/densitymx/opreps.pyx":136
 * 
 * 
 * cdef class OpRepDenseUnitary(OpRep):             # <<<<<<<<<<<<<<
 *     cdef public object basis
 *     cdef public _np.ndarray base
*/
struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseUnitary {
  struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRep __pyx_base;
  PyObject *basis;
  PyArrayObject *base;
  PyArrayObject *superop_base;
};


/* "pygsti/evotypes/densitymx/opreps.pyx":196
 * 
 * 
 * cdef class OpRepSparse(OpRep):             # <<<<<<<<<<<<<<
 *     cdef public _np.ndarray data
 *     cdef public _np.ndarray indices
*/
struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepSparse {
  struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRep __pyx_base;
  PyArrayObject *data;
  PyArrayObject *indices;
  PyArrayObject *indptr;
};


/* "pygsti/evotypes/densitymx/opreps.pyx":232
 * 
 * 
 * cdef class OpRepStandard(OpRepDenseSuperop):             # <<<<<<<<<<<<<<
 *     cdef public object name
 * 
*/
struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepStandard {
  struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop __pyx_base;
  PyObject *name;
};


/* "pygsti/evotypes/densitymx/opreps.pyx":255
 * 
 * 
 * cdef class OpRepKraus(OpRep):             # <<<<<<<<<<<<<<
 *     cdef public object basis
 *     cdef public object kraus_reps
*/
struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepKraus {
  struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRep __pyx_base;
  PyObject *basis;
  PyObject *kraus_reps;
};


/* "pygsti/evotypes/densitymx/opreps.pyx":286
 * 
 * 
 * cdef class OpRepRandomUnitary(OpRep):             # <<<<<<<<<<<<<<
 *     cdef public object basis
 *     cdef public _np.ndarray unitary_rates
*/
struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepRandomUnitary {
  struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRep __pyx_base;
  PyObject *basis;
  PyArrayObject *unitary_rates;
  PyObject *unitary_reps;
};


/* "pygsti/evotypes/densitymx/opreps.pyx":399
 * 
 * 
 * cdef class OpRepStochastic(OpRepRandomUnitary):             # <<<<<<<<<<<<<<
 *     cdef public object stochastic_basis
 *     cdef public object stochastic_superops
*/
struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepStochastic {
  struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepRandomUnitary __pyx_base;
  PyObject *stochastic_basis;
  PyObject *stochastic_superops;
  PyObject *rates;
};


/* "pygsti/evotypes/densitymx/opreps.pyx":450
 * 
 * 
 * cdef class OpRepComposed(OpRep):             # <<<<<<<<<<<<<<
 *     cdef public object factor_reps  # list of OpRep objs?
 * 
*/
struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepComposed {
  struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRep __pyx_base;
  PyObject *factor_reps;
};


/* "pygsti/evotypes/densitymx/opreps.pyx":478
 * 
 * 
 * cdef class OpRepSum(OpRep):             # <<<<<<<<<<<<<<
 *     cdef public object factor_reps # list of OpRep objs?
 * 
*/
struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepSum {
  struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRep __pyx_base;
  PyObject *factor_reps;
};


/* "pygsti/evotypes/densitymx/opreps.pyx":499
 * 
 * _embedding_quantities_cache = {}
 * cdef class EmbeddingArraysCacheEl:             # <<<<<<<<<<<<<<
 *     cdef public _np.ndarray noop_incrementers
 *     cdef public _np.ndarray num_basis_els_noop_blankaction
*/
struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl {
  PyObject_HEAD
  PyArrayObject *noop_incrementers;
  PyArrayObject *num_basis_els_noop_blankaction;
  PyArrayObject *baseinds;
  PyArrayObject *blocksizes;
  PyArrayObject *num_basis_els;
  PyArrayObject *action_inds;
  __pyx_t_6pygsti_8evotypes_9densitymx_6opreps_INT ncomponents_in_active_block;
  __pyx_t_6pygsti_8evotypes_9densitymx_6opreps_INT active_block_index;
  __pyx_t_6pygsti_8evotypes_9densitymx_6opreps_INT nblocks;
};


/* "pygsti/evotypes/densitymx/opreps.pyx":607
 * 
 * 
 * cdef class OpRepEmbedded(OpRep):             # <<<<<<<<<<<<<<
 *     cdef _np.ndarray noop_incrementers
 *     cdef _np.ndarray num_basis_els_noop_blankaction
*/
struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepEmbedded {
  struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRep __pyx_base;
  PyArrayObject *noop_incrementers;
  PyArrayObject *num_basis_els_noop_blankaction;
  PyArrayObject *baseinds;
  PyArrayObject *blocksizes;
  PyArrayObject *num_basis_els;
  PyArrayObject *action_inds;
  struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRep *embedded_rep;
};


/* "pygsti/evotypes/densitymx/opreps.pyx":675
 * 
 * 
 * cdef class OpRepExpErrorgen(OpRep):             # <<<<<<<<<<<<<<
 *     cdef public object errorgen_rep
 * 
*/
struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepExpErrorgen {
  struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRep __pyx_base;
  PyObject *errorgen_rep;
};


/* "pygsti/evotypes/densitymx/opreps.pyx":748
 * 
 * 
 * cdef class OpRepRepeated(OpRep):             # <<<<<<<<<<<<<<
 *     cdef public OpRep repeated_rep
 *     cdef public INT num_repetitions
*/
struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepRepeated {
  struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRep __pyx_base;
  struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRep *repeated_rep;
  __pyx_t_6pygsti_8evotypes_9densitymx_6opreps_INT num_repetitions;
};


/* "pygsti/evotypes/densitymx/opreps.pyx":62
 *         return out_state
 * 
 *     def aslinearoperator(self):             # <<<<<<<<<<<<<<
 *         def mv(v):
 *             if v.ndim == 2 and v.shape[1] == 1: v = v[:,0]
*/
struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps___pyx_scope_struct__aslinearoperator {
  PyObject_HEAD
  struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRep *__pyx_v_self;
};

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    #define __Pyx_NumKwargs_FASTCALL(kwds) __Pyx_PyTuple_GET_SIZE(kwds)
    #define __Pyx_KwValues_FASTCALL(args, nargs) ((args) + (nargs))
    static CYTHON_INLINE PyObject * __Pyx_GetKwValue_FASTCALL(PyObject *kwnames, PyObject *const *kwvalues, PyObject *s);
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030d0000 || CYTHON_COMPILING_IN_LIMITED_API
    CYTHON_UNUSED static PyObject *__Pyx_KwargsAsDict_FASTCALL(PyObject *kwnames, PyObject *const *kwvalues);
  #else
    #define __Pyx_KwargsAsDict_FASTCALL(kw, kwvalues) _PyStack_AsDict(kwvalues, kw)
  #endif
#else
    #define __Pyx_ArgRef_FASTCALL __Pyx_ArgRef_VARARGS
    #define __Pyx_NumKwargs_FASTCALL __Pyx_NumKwargs_VARARGS
    #define __Pyx_KwValues_FASTCALL __Pyx_KwValues_VARARGS
    #define __Pyx_GetKwValue_FASTCALL __Pyx_GetKwValue_VARARGS
    #define __Pyx_KwargsAsDict_FASTCALL __Pyx_KwargsAsDict_VARARGS
#endif
#define __Pyx_ArgsSlice_VARARGS(args, start, stop) PyTuple_GetSlice(args, start, stop)
#if CYTHON_METH_FASTCALL || (CYTHON_COMPILING_IN_CPYTHON && CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)
#define __Pyx_ArgsSlice_FASTCALL(args, start, stop) __Pyx_PyTuple_FromArray(args + start, stop - start)
#else
#define __Pyx_ArgsSlice_FASTCALL(args, start, stop) PyTuple_GetSlice(args, start, stop)
#endif

/* RaiseArgTupleInvalid.proto */
static void __Pyx_RaiseArgtupleInvalid(const char* func_name, int exact,
    Py_ssize_t num_min, Py_ssize_t num_max, Py_ssize_t num_found);

/* py_dict_items.proto (used by OwnedDictNext) */
static CYTHON_INLINE PyObject* __Pyx_PyDict_Items(PyObject* d);

/* CallCFunction.proto (used by CallUnboundCMethod0) */
#define __Pyx_CallCFunction(cfunc, self, args)\
    ((PyCFunction)(void(*)(void))(cfunc)->func)(self, args)
#define __Pyx_CallCFunctionWithKeywords(cfunc, self, args, kwargs)\
    ((PyCFunctionWithKeywords)(void(*)(void))(cfunc)->func)(self, args, kwargs)
#define __Pyx_CallCFunctionFast(cfunc, self, args, nargs)\
    ((__Pyx_PyCFunctionFast)(void(*)(void))(PyCFunction)(cfunc)->func)(self, args, nargs)
#define __Pyx_CallCFunctionFastWithKeywords(cfunc, self, args, nargs, kwnames)\
    ((__Pyx_PyCFunctionFastWithKeywords)(void(*)(void))(PyCFunction)(cfunc)->func)(self, args, nargs, kwnames)

/* PyObjectCallOneArg.proto (used by CallUnboundCMethod0) */
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg);

/* UnpackUnboundCMethod.proto (used by CallUnboundCMethod0) */
typedef struct {
    PyObject *type;
    PyObject **method_name;
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING && CYTHON_ATOMICS
    __pyx_atomic_int_type initialized;
#endif
    PyCFunction func;
    PyObject *method;
    int flag;
} __Pyx_CachedCFunction;
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
static CYTHON_INLINE int __Pyx_CachedCFunction_GetAndSetInitializing(__Pyx_CachedCFunction *cfunc) {
#if !CYTHON_ATOMICS
    return 1;
#else
    __pyx_nonatomic_int_type expected = 0;
    if (__pyx_atomic_int_cmp_exchange(&cfunc->initialized, &expected, 1)) {
        return 0;
    }
    return expected;
#endif
}
static CYTHON_INLINE void __Pyx_CachedCFunction_SetFinishedInitializing(__Pyx_CachedCFunction *cfunc) {
#if CYTHON_ATOMICS
    __pyx_atomic_store(&cfunc->initialized, 2);
#endif
}
#else
#define __Pyx_CachedCFunction_GetAndSetInitializing(cfunc) 2
#define __Pyx_CachedCFunction_SetFinishedInitializing(cfunc)
#endif

/* CallUnboundCMethod0.proto */
CYTHON_UNUSED
static PyObject* __Pyx__CallUnboundCMethod0(__Pyx_CachedCFunction* cfunc, PyObject* self);
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_CallUnboundCMethod0(__Pyx_CachedCFunction* cfunc, PyObject* self);
#else
#define __Pyx_CallUnboundCMethod0(cfunc, self)  __Pyx__CallUnboundCMethod0(cfunc, self)
#endif

/* py_dict_values.proto (used by OwnedDictNext) */
static CYTHON_INLINE PyObject* __Pyx_PyDict_Values(PyObject* d);

/* OwnedDictNext.proto (used by RejectKeywords) */
#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

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

/* PyObjectFastCallMethod.proto */
#if CYTHON_VECTORCALL && PY_VERSION_HEX >= 0x03090000
#define __Pyx_PyObject_FastCallMethod(name, args, nargsf) PyObject_VectorcallMethod(name, args, nargsf, NULL)
#else
static PyObject *__Pyx_PyObject_FastCallMethod(PyObject *name, PyObject *const *args, size_t nargsf);
#endif

/* 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
);

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

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

/* 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

/* PyObjectVectorCallKwBuilder.proto */
CYTHON_UNUSED static int __Pyx_VectorcallBuilder_AddArg_Check(PyObject *key, PyObject *value, PyObject *builder, PyObject **args, int n);
#if CYTHON_VECTORCALL
#if PY_VERSION_HEX >= 0x03090000
#define __Pyx_Object_Vectorcall_CallFromBuilder PyObject_Vectorcall
#else
#define __Pyx_Object_Vectorcall_CallFromBuilder _PyObject_Vectorcall
#endif
#define __Pyx_MakeVectorcallBuilderKwds(n) PyTuple_New(n)
static int __Pyx_VectorcallBuilder_AddArg(PyObject *key, PyObject *value, PyObject *builder, PyObject **args, int n);
static int __Pyx_VectorcallBuilder_AddArgStr(const char *key, PyObject *value, PyObject *builder, PyObject **args, int n);
#else
#define __Pyx_Object_Vectorcall_CallFromBuilder __Pyx_PyObject_FastCallDict
#define __Pyx_MakeVectorcallBuilderKwds(n) __Pyx_PyDict_NewPresized(n)
#define __Pyx_VectorcallBuilder_AddArg(key, value, builder, args, n) PyDict_SetItem(builder, key, value)
#define __Pyx_VectorcallBuilder_AddArgStr(key, value, builder, args, n) PyDict_SetItemString(builder, key, value)
#endif

/* PyLongCompare.proto */
static CYTHON_INLINE int __Pyx_PyLong_BoolEqObjC(PyObject *op1, PyObject *op2, long intval, long inplace);

/* GetItemInt.proto */
#define __Pyx_GetItemInt(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck, has_gil, unsafe_shared)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_GetItemInt_Fast(o, (Py_ssize_t)i, is_list, wraparound, boundscheck, unsafe_shared) :\
    (is_list ? (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL) :\
               __Pyx_GetItemInt_Generic(o, to_py_func(i))))
#define __Pyx_GetItemInt_List(o, i, type, is_signed, to_py_func, is_list, 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, is_list, 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 is_list, int wraparound, int boundscheck, int unsafe_shared);

/* 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

/* RaiseClosureNameError.proto */
static void __Pyx_RaiseClosureNameError(const char *varname);

/* dict_setdefault.proto (used by FetchCommonType) */
static CYTHON_INLINE PyObject *__Pyx_PyDict_SetDefault(PyObject *d, PyObject *key, PyObject *default_value);

/* LimitedApiGetTypeDict.proto (used by SetItemOnTypeDict) */
#if CYTHON_COMPILING_IN_LIMITED_API
static PyObject *__Pyx_GetTypeDict(PyTypeObject *tp);
#endif

/* SetItemOnTypeDict.proto (used by FixUpExtensionType) */
static int __Pyx__SetItemOnTypeDict(PyTypeObject *tp, PyObject *k, PyObject *v);
#define __Pyx_SetItemOnTypeDict(tp, k, v) __Pyx__SetItemOnTypeDict((PyTypeObject*)tp, k, v)

/* FixUpExtensionType.proto (used by FetchCommonType) */
static CYTHON_INLINE int __Pyx_fix_up_extension_type_from_spec(PyType_Spec *spec, PyTypeObject *type);

/* AddModuleRef.proto (used by FetchSharedCythonModule) */
#if ((CYTHON_COMPILING_IN_CPYTHON_FREETHREADING ) ||\
     __PYX_LIMITED_VERSION_HEX < 0x030d0000)
  static PyObject *__Pyx_PyImport_AddModuleRef(const char *name);
#else
  #define __Pyx_PyImport_AddModuleRef(name) PyImport_AddModuleRef(name)
#endif

/* FetchSharedCythonModule.proto (used by FetchCommonType) */
static PyObject *__Pyx_FetchSharedCythonABIModule(void);

/* FetchCommonType.proto (used by CommonTypesMetaclass) */
static PyTypeObject* __Pyx_FetchCommonTypeFromSpec(PyTypeObject *metaclass, PyObject *module, PyType_Spec *spec, PyObject *bases);

/* CommonTypesMetaclass.proto (used by CythonFunctionShared) */
static int __pyx_CommonTypesMetaclass_init(PyObject *module);
#define __Pyx_CommonTypesMetaclass_USED

/* CallTypeTraverse.proto (used by CythonFunctionShared) */
#if !CYTHON_USE_TYPE_SPECS || (!CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x03090000)
#define __Pyx_call_type_traverse(o, always_call, visit, arg) 0
#else
static int __Pyx_call_type_traverse(PyObject *o, int always_call, visitproc visit, void *arg);
#endif

/* PyMethodNew.proto (used by CythonFunctionShared) */
static PyObject *__Pyx_PyMethod_New(PyObject *func, PyObject *self, PyObject *typ);

/* PyVectorcallFastCallDict.proto (used by CythonFunctionShared) */
#if CYTHON_METH_FASTCALL && CYTHON_VECTORCALL
static CYTHON_INLINE PyObject *__Pyx_PyVectorcall_FastCallDict(PyObject *func, __pyx_vectorcallfunc vc, PyObject *const *args, size_t nargs, PyObject *kw);
#endif

/* CythonFunctionShared.proto (used by CythonFunction) */
#define __Pyx_CyFunction_USED
#define __Pyx_CYFUNCTION_STATICMETHOD  0x01
#define __Pyx_CYFUNCTION_CLASSMETHOD   0x02
#define __Pyx_CYFUNCTION_CCLASS        0x04
#define __Pyx_CYFUNCTION_COROUTINE     0x08
#define __Pyx_CyFunction_GetClosure(f)\
    (((__pyx_CyFunctionObject *) (f))->func_closure)
#if PY_VERSION_HEX < 0x030900B1 || CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx_CyFunction_GetClassObj(f)\
      (((__pyx_CyFunctionObject *) (f))->func_classobj)
#else
  #define __Pyx_CyFunction_GetClassObj(f)\
      ((PyObject*) ((PyCMethodObject *) (f))->mm_class)
#endif
#define __Pyx_CyFunction_SetClassObj(f, classobj)\
    __Pyx__CyFunction_SetClassObj((__pyx_CyFunctionObject *) (f), (classobj))
#define __Pyx_CyFunction_Defaults(type, f)\
    ((type *)(((__pyx_CyFunctionObject *) (f))->defaults))
#define __Pyx_CyFunction_SetDefaultsGetter(f, g)\
    ((__pyx_CyFunctionObject *) (f))->defaults_getter = (g)
typedef struct {
#if CYTHON_COMPILING_IN_LIMITED_API
    PyObject_HEAD
    PyObject *func;
#elif PY_VERSION_HEX < 0x030900B1
    PyCFunctionObject func;
#else
    PyCMethodObject func;
#endif
#if CYTHON_COMPILING_IN_LIMITED_API && CYTHON_METH_FASTCALL
    __pyx_vectorcallfunc func_vectorcall;
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
    PyObject *func_weakreflist;
#endif
#if PY_VERSION_HEX < 0x030C0000 || CYTHON_COMPILING_IN_LIMITED_API
    PyObject *func_dict;
#endif
    PyObject *func_name;
    PyObject *func_qualname;
    PyObject *func_doc;
    PyObject *func_globals;
    PyObject *func_code;
    PyObject *func_closure;
#if PY_VERSION_HEX < 0x030900B1 || CYTHON_COMPILING_IN_LIMITED_API
    PyObject *func_classobj;
#endif
    PyObject *defaults;
    int flags;
    PyObject *defaults_tuple;
    PyObject *defaults_kwdict;
    PyObject *(*defaults_getter)(PyObject *);
    PyObject *func_annotations;
    PyObject *func_is_coroutine;
} __pyx_CyFunctionObject;
#undef __Pyx_CyOrPyCFunction_Check
#define __Pyx_CyFunction_Check(obj)  __Pyx_TypeCheck(obj, __pyx_mstate_global->__pyx_CyFunctionType)
#define __Pyx_CyOrPyCFunction_Check(obj)  __Pyx_TypeCheck2(obj, __pyx_mstate_global->__pyx_CyFunctionType, &PyCFunction_Type)
#define __Pyx_CyFunction_CheckExact(obj)  __Pyx_IS_TYPE(obj, __pyx_mstate_global->__pyx_CyFunctionType)
static CYTHON_INLINE int __Pyx__IsSameCyOrCFunction(PyObject *func, void (*cfunc)(void));
#undef __Pyx_IsSameCFunction
#define __Pyx_IsSameCFunction(func, cfunc)   __Pyx__IsSameCyOrCFunction(func, cfunc)
static PyObject *__Pyx_CyFunction_Init(__pyx_CyFunctionObject* op, PyMethodDef *ml,
                                      int flags, PyObject* qualname,
                                      PyObject *closure,
                                      PyObject *module, PyObject *globals,
                                      PyObject* code);
static CYTHON_INLINE void __Pyx__CyFunction_SetClassObj(__pyx_CyFunctionObject* f, PyObject* classobj);
static CYTHON_INLINE PyObject *__Pyx_CyFunction_InitDefaults(PyObject *func,
                                                         PyTypeObject *defaults_type);
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *m,
                                                            PyObject *tuple);
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *m,
                                                             PyObject *dict);
static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *m,
                                                              PyObject *dict);
static int __pyx_CyFunction_init(PyObject *module);
#if CYTHON_METH_FASTCALL
static PyObject * __Pyx_CyFunction_Vectorcall_NOARGS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames);
static PyObject * __Pyx_CyFunction_Vectorcall_O(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames);
static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames);
static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS_METHOD(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames);
#if CYTHON_COMPILING_IN_LIMITED_API
#define __Pyx_CyFunction_func_vectorcall(f) (((__pyx_CyFunctionObject*)f)->func_vectorcall)
#else
#define __Pyx_CyFunction_func_vectorcall(f) (((PyCFunctionObject*)f)->vectorcall)
#endif
#endif

/* CythonFunction.proto */
static PyObject *__Pyx_CyFunction_New(PyMethodDef *ml,
                                      int flags, PyObject* qualname,
                                      PyObject *closure,
                                      PyObject *module, PyObject *globals,
                                      PyObject* code);

/* 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)
  static int __Pyx_init_assertions_enabled(void) {
    PyObject *builtins, *debug, *debug_str;
    int flag;
    builtins = PyEval_GetBuiltins();
    if (!builtins) goto bad;
    debug_str = PyUnicode_FromStringAndSize("__debug__", 9);
    if (!debug_str) goto bad;
    debug = PyObject_GetItem(builtins, debug_str);
    Py_DECREF(debug_str);
    if (!debug) goto bad;
    flag = PyObject_IsTrue(debug);
    Py_DECREF(debug);
    if (flag == -1) goto bad;
    __pyx_assertions_enabled_flag = flag;
    return 0;
  bad:
    __pyx_assertions_enabled_flag = 1;
    return -1;
  }
#else
  #define __Pyx_init_assertions_enabled()  (0)
  #define __pyx_assertions_enabled()  (!Py_OptimizeFlag)
#endif

/* PyAssertionError_Check.proto */
#define __Pyx_PyExc_AssertionError_Check(obj)  __Pyx_TypeCheck(obj, PyExc_AssertionError)

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

/* PyValueError_Check.proto */
#define __Pyx_PyExc_ValueError_Check(obj)  __Pyx_TypeCheck(obj, PyExc_ValueError)

/* RaiseTooManyValuesToUnpack.proto */
static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected);

/* RaiseNeedMoreValuesToUnpack.proto */
static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index);

/* IterFinish.proto */
static CYTHON_INLINE int __Pyx_IterFinish(void);

/* UnpackItemEndCheck.proto */
static int __Pyx_IternextUnpackEndCheck(PyObject *retval, Py_ssize_t expected);

/* PyObjectDelAttr.proto (used by PyObjectSetAttrStr) */
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030d0000
#define __Pyx_PyObject_DelAttr(o, n) PyObject_SetAttr(o, n, NULL)
#else
#define __Pyx_PyObject_DelAttr(o, n) PyObject_DelAttr(o, n)
#endif

/* PyObjectSetAttrStr.proto */
#if CYTHON_USE_TYPE_SLOTS
#define __Pyx_PyObject_DelAttrStr(o,n) __Pyx_PyObject_SetAttrStr(o, n, NULL)
static CYTHON_INLINE int __Pyx_PyObject_SetAttrStr(PyObject* obj, PyObject* attr_name, PyObject* value);
#else
#define __Pyx_PyObject_DelAttrStr(o,n)   __Pyx_PyObject_DelAttr(o,n)
#define __Pyx_PyObject_SetAttrStr(o,n,v) PyObject_SetAttr(o,n,v)
#endif

/* PyObject_Unicode.proto */
#define __Pyx_PyObject_Unicode(obj)\
    (likely(PyUnicode_CheckExact(obj)) ? __Pyx_NewRef(obj) : PyObject_Str(obj))

/* UnicodeConcatInPlace.proto */
# if CYTHON_COMPILING_IN_CPYTHON
    #if CYTHON_REFNANNY
        #define __Pyx_PyUnicode_ConcatInPlace(left, right, unsafe_shared) __Pyx_PyUnicode_ConcatInPlaceImpl(&left, right, unsafe_shared, __pyx_refnanny)
    #else
        #define __Pyx_PyUnicode_ConcatInPlace(left, right, unsafe_shared) __Pyx_PyUnicode_ConcatInPlaceImpl(&left, right, unsafe_shared)
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    #define __Pyx_PyUnicode_Concat__Pyx_ReferenceSharing_DefinitelyUniqueInPlace(left, right) __Pyx_PyUnicode_ConcatInPlace(left, right, __Pyx_ReferenceSharing_DefinitelyUnique)
    #define __Pyx_PyUnicode_Concat__Pyx_ReferenceSharing_OwnStrongReferenceInPlace(left, right) __Pyx_PyUnicode_ConcatInPlace(left, right, __Pyx_ReferenceSharing_OwnStrongReference)
    #define __Pyx_PyUnicode_Concat__Pyx_ReferenceSharing_FunctionArgumentInPlace(left, right) __Pyx_PyUnicode_ConcatInPlace(left, right, __Pyx_ReferenceSharing_DefinitelyUnique)
    #define __Pyx_PyUnicode_Concat__Pyx_ReferenceSharing_SharedReferenceInPlace(left, right) __Pyx_PyUnicode_ConcatInPlace(left, right, __Pyx_ReferenceSharing_SharedReference)
    static CYTHON_INLINE PyObject *__Pyx_PyUnicode_ConcatInPlaceImpl(PyObject **p_left, PyObject *right, int unsafe_shared
        #if CYTHON_REFNANNY
        , void* __pyx_refnanny
        #endif
    );
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#define __Pyx_PyUnicode_Concat__Pyx_ReferenceSharing_DefinitelyUniqueInPlace __Pyx_PyUnicode_Concat
#define __Pyx_PyUnicode_Concat__Pyx_ReferenceSharing_OwnStrongReferenceInPlace __Pyx_PyUnicode_Concat
#define __Pyx_PyUnicode_Concat__Pyx_ReferenceSharing_FunctionArgumentInPlace __Pyx_PyUnicode_Concat
#define __Pyx_PyUnicode_Concat__Pyx_ReferenceSharing_SharedReferenceInPlace __Pyx_PyUnicode_Concat
#endif
#define __Pyx_PyUnicode_Concat__Pyx_ReferenceSharing_DefinitelyUniqueInPlaceSafe(left, right)\
    ((unlikely((left) == Py_None) || unlikely((right) == Py_None)) ?\
    PyNumber_InPlaceAdd(left, right) : __Pyx_PyUnicode_Concat__Pyx_ReferenceSharing_DefinitelyUniqueInPlace(left, right))
#define __Pyx_PyUnicode_Concat__Pyx_ReferenceSharing_OwnStrongReferenceInPlaceSafe(left, right)\
    ((unlikely((left) == Py_None) || unlikely((right) == Py_None)) ?\
    PyNumber_InPlaceAdd(left, right) : __Pyx_PyUnicode_Concat__Pyx_ReferenceSharing_OwnStrongReferenceInPlace(left, right))
#define __Pyx_PyUnicode_Concat__Pyx_ReferenceSharing_FunctionArgumentInPlaceSafe(left, right)\
    ((unlikely((left) == Py_None) || unlikely((right) == Py_None)) ?\
    PyNumber_InPlaceAdd(left, right) : __Pyx_PyUnicode_Concat__Pyx_ReferenceSharing_FunctionArgumentInPlace(left, right))
#define __Pyx_PyUnicode_Concat__Pyx_ReferenceSharing_SharedReferenceInPlaceSafe(left, right)\
    ((unlikely((left) == Py_None) || unlikely((right) == Py_None)) ?\
    PyNumber_InPlaceAdd(left, right) : __Pyx_PyUnicode_Concat__Pyx_ReferenceSharing_SharedReferenceInPlace(left, right))

/* 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 };

/* PySequenceContains.proto */
static CYTHON_INLINE int __Pyx_PySequence_ContainsTF(PyObject* item, PyObject* seq, int eq) {
    int result = PySequence_Contains(seq, item);
    return unlikely(result < 0) ? result : (result == (eq == Py_EQ));
}

/* MoveIfSupported.proto */
#if CYTHON_USE_CPP_STD_MOVE
  #include <utility>
  #define __PYX_STD_MOVE_IF_SUPPORTED(x) std::move(x)
#else
  #define __PYX_STD_MOVE_IF_SUPPORTED(x) x
#endif

/* ListCompAppend.proto */
#if CYTHON_USE_PYLIST_INTERNALS && CYTHON_ASSUME_SAFE_MACROS
static CYTHON_INLINE int __Pyx_ListComp_Append(PyObject* list, PyObject* x) {
    PyListObject* L = (PyListObject*) list;
    Py_ssize_t len = Py_SIZE(list);
    if (likely(L->allocated > len)) {
        Py_INCREF(x);
        #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030d0000
        L->ob_item[len] = x;
        #else
        PyList_SET_ITEM(list, len, x);
        #endif
        __Pyx_SET_SIZE(list, len + 1);
        return 0;
    }
    return PyList_Append(list, x);
}
#else
#define __Pyx_ListComp_Append(L,x) PyList_Append(L,x)
#endif

/* SliceObject.proto */
#define __Pyx_PyObject_DelSlice(obj, cstart, cstop, py_start, py_stop, py_slice, has_cstart, has_cstop, wraparound)\
    __Pyx_PyObject_SetSlice(obj, (PyObject*)NULL, cstart, cstop, py_start, py_stop, py_slice, has_cstart, has_cstop, wraparound)
static CYTHON_INLINE int __Pyx_PyObject_SetSlice(
        PyObject* obj, PyObject* value, Py_ssize_t cstart, Py_ssize_t cstop,
        PyObject** py_start, PyObject** py_stop, PyObject** py_slice,
        int has_cstart, int has_cstop, int wraparound);

/* PyLongBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static CYTHON_INLINE PyObject* __Pyx_PyLong_SubtractCObj(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyLong_SubtractCObj(op1, op2, intval, inplace, zerodivision_check)\
    (inplace ? PyNumber_InPlaceSubtract(op1, op2) : PyNumber_Subtract(op1, op2))
#endif

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

/* BufferIndexError.proto */
static void __Pyx_RaiseBufferIndexError(int axis);

#define __Pyx_BufPtrCContig1d(type, buf, i0, s0) ((type)buf + i0)
/* PyObjectFormatAndDecref.proto */
static CYTHON_INLINE PyObject* __Pyx_PyObject_FormatSimpleAndDecref(PyObject* s, PyObject* f);
static CYTHON_INLINE PyObject* __Pyx_PyObject_FormatAndDecref(PyObject* s, PyObject* f);

/* JoinPyUnicode.export */
static PyObject* __Pyx_PyUnicode_Join(PyObject** values, Py_ssize_t value_count, Py_ssize_t result_ulength,
                                      Py_UCS4 max_char);

/* SetItemInt.proto */
#define __Pyx_SetItemInt(o, i, v, type, is_signed, to_py_func, is_list, wraparound, boundscheck, has_gil, unsafe_shared)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_SetItemInt_Fast(o, (Py_ssize_t)i, v, is_list, wraparound, boundscheck, unsafe_shared) :\
    (is_list ? (PyErr_SetString(PyExc_IndexError, "list assignment index out of range"), -1) :\
               __Pyx_SetItemInt_Generic(o, to_py_func(i), v)))
static int __Pyx_SetItemInt_Generic(PyObject *o, PyObject *j, PyObject *v);
static CYTHON_INLINE int __Pyx_SetItemInt_Fast(PyObject *o, Py_ssize_t i, PyObject *v,
                                               int is_list, int wraparound, int boundscheck, int unsafe_shared);

/* PyRange_Check.proto */
#if CYTHON_COMPILING_IN_PYPY && !defined(PyRange_Check)
  #define PyRange_Check(obj)  __Pyx_TypeCheck((obj), &PyRange_Type)
#endif

/* PyLongBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static CYTHON_INLINE PyObject* __Pyx_PyLong_AddObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyLong_AddObjC(op1, op2, intval, inplace, zerodivision_check)\
    (inplace ? PyNumber_InPlaceAdd(op1, op2) : PyNumber_Add(op1, op2))
#endif

/* CallNextTpDealloc.proto */
static void __Pyx_call_next_tp_dealloc(PyObject* obj, destructor current_tp_dealloc);

/* CallNextTpTraverse.proto */
static int __Pyx_call_next_tp_traverse(PyObject* obj, visitproc v, void *a, traverseproc current_tp_traverse);

/* CallNextTpClear.proto */
static void __Pyx_call_next_tp_clear(PyObject* obj, inquiry current_tp_clear);

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

/* CheckTypeForFreelists.proto */
#if CYTHON_USE_FREELISTS
#if CYTHON_USE_TYPE_SPECS
#define __PYX_CHECK_FINAL_TYPE_FOR_FREELISTS(t, expected_tp, expected_size) ((int) ((t) == (expected_tp)))
#define __PYX_CHECK_TYPE_FOR_FREELIST_FLAGS  Py_TPFLAGS_IS_ABSTRACT
#else
#define __PYX_CHECK_FINAL_TYPE_FOR_FREELISTS(t, expected_tp, expected_size) ((int) ((t)->tp_basicsize == (expected_size)))
#define __PYX_CHECK_TYPE_FOR_FREELIST_FLAGS  (Py_TPFLAGS_IS_ABSTRACT | Py_TPFLAGS_HEAPTYPE)
#endif
#define __PYX_CHECK_TYPE_FOR_FREELISTS(t, expected_tp, expected_size)\
    (__PYX_CHECK_FINAL_TYPE_FOR_FREELISTS((t), (expected_tp), (expected_size)) &\
     (int) (!__Pyx_PyType_HasFeature((t), __PYX_CHECK_TYPE_FOR_FREELIST_FLAGS)))
#endif

/* TypeImport.proto */
#ifndef __PYX_HAVE_RT_ImportType_proto_3_2_1
#define __PYX_HAVE_RT_ImportType_proto_3_2_1
#if defined (__STDC_VERSION__) && __STDC_VERSION__ >= 201112L
#include <stdalign.h>
#endif
#if (defined (__STDC_VERSION__) && __STDC_VERSION__ >= 201112L) || __cplusplus >= 201103L
#define __PYX_GET_STRUCT_ALIGNMENT_3_2_1(s) alignof(s)
#else
#define __PYX_GET_STRUCT_ALIGNMENT_3_2_1(s) sizeof(void*)
#endif
enum __Pyx_ImportType_CheckSize_3_2_1 {
   __Pyx_ImportType_CheckSize_Error_3_2_1 = 0,
   __Pyx_ImportType_CheckSize_Warn_3_2_1 = 1,
   __Pyx_ImportType_CheckSize_Ignore_3_2_1 = 2
};
static PyTypeObject *__Pyx_ImportType_3_2_1(PyObject* module, const char *module_name, const char *class_name, size_t size, size_t alignment, enum __Pyx_ImportType_CheckSize_3_2_1 check_size);
#endif

/* PyObjectCallNoArg.proto (used by PyObjectCallMethod0) */
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func);

/* PyObjectGetMethod.proto (used by PyObjectCallMethod0) */
#if !(CYTHON_VECTORCALL && (__PYX_LIMITED_VERSION_HEX >= 0x030C0000 || (!CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x03090000)))
static int __Pyx_PyObject_GetMethod(PyObject *obj, PyObject *name, PyObject **method);
#endif

/* PyObjectCallMethod0.proto (used by PyType_Ready) */
static PyObject* __Pyx_PyObject_CallMethod0(PyObject* obj, PyObject* method_name);

/* ValidateBasesTuple.proto (used by PyType_Ready) */
#if CYTHON_COMPILING_IN_CPYTHON || CYTHON_COMPILING_IN_LIMITED_API || CYTHON_USE_TYPE_SPECS
static int __Pyx_validate_bases_tuple(const char *type_name, Py_ssize_t dictoffset, PyObject *bases);
#endif

/* PyType_Ready.proto */
CYTHON_UNUSED static int __Pyx_PyType_Ready(PyTypeObject *t);

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

/* SetupReduce.proto */
static int __Pyx_setup_reduce(PyObject* type_obj);

/* 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

/* 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);

/* ImportFrom.proto */
static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name);

/* CLineInTraceback.proto (used by AddTraceback) */
#if CYTHON_CLINE_IN_TRACEBACK && CYTHON_CLINE_IN_TRACEBACK_RUNTIME
static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line);
#else
#define __Pyx_CLineForTraceback(tstate, c_line)  (((CYTHON_CLINE_IN_TRACEBACK)) ? c_line : 0)
#endif

/* CodeObjectCache.proto (used by AddTraceback) */
#if CYTHON_COMPILING_IN_LIMITED_API
typedef PyObject __Pyx_CachedCodeObjectType;
#else
typedef PyCodeObject __Pyx_CachedCodeObjectType;
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typedef struct {
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    int code_line;
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struct __Pyx_CodeObjectCache {
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    int max_count;
    __Pyx_CodeObjectCacheEntry* entries;
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    __pyx_atomic_int_type accessor_count;
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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,
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/* BufferStructDeclare.proto */
typedef struct {
  Py_ssize_t shape, strides, suboffsets;
} __Pyx_Buf_DimInfo;
typedef struct {
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  Py_buffer pybuffer;
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typedef struct {
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  char *data;
  __Pyx_Buf_DimInfo diminfo[8];
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/* GCCDiagnostics.proto */
#if !defined(__INTEL_COMPILER) && defined(__GNUC__) && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 6))
#define __Pyx_HAS_GCC_DIAGNOSTIC
#endif

/* CppExceptionConversion.proto */
#ifndef __Pyx_CppExn2PyErr
#include <new>
#include <typeinfo>
#include <stdexcept>
#include <ios>
static void __Pyx_CppExn2PyErr() {
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    if (PyErr_Occurred())
      ; // let the latest Python exn pass through and ignore the current one
    else
      throw;
  } catch (const std::bad_alloc& exn) {
    PyErr_SetString(PyExc_MemoryError, exn.what());
  } catch (const std::bad_cast& exn) {
    PyErr_SetString(PyExc_TypeError, exn.what());
  } catch (const std::bad_typeid& exn) {
    PyErr_SetString(PyExc_TypeError, exn.what());
  } catch (const std::domain_error& exn) {
    PyErr_SetString(PyExc_ValueError, exn.what());
  } catch (const std::invalid_argument& exn) {
    PyErr_SetString(PyExc_ValueError, exn.what());
  } catch (const std::ios_base::failure& exn) {
    PyErr_SetString(PyExc_IOError, exn.what());
  } catch (const std::out_of_range& exn) {
    PyErr_SetString(PyExc_IndexError, exn.what());
  } catch (const std::overflow_error& exn) {
    PyErr_SetString(PyExc_OverflowError, exn.what());
  } catch (const std::range_error& exn) {
    PyErr_SetString(PyExc_ArithmeticError, exn.what());
  } catch (const std::underflow_error& exn) {
    PyErr_SetString(PyExc_ArithmeticError, exn.what());
  } catch (const std::exception& exn) {
    PyErr_SetString(PyExc_RuntimeError, exn.what());
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  {
    PyErr_SetString(PyExc_RuntimeError, "Unknown exception");
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/* 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))
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#else
    #define __Pyx_CREAL(z) ((z).real)
    #define __Pyx_CIMAG(z) ((z).imag)
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#if defined(__cplusplus) && CYTHON_CCOMPLEX\
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    #define __Pyx_SET_CREAL(z,x) ((z).real(x))
    #define __Pyx_SET_CIMAG(z,y) ((z).imag(y))
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    #define __Pyx_SET_CREAL(z,x) __Pyx_CREAL(z) = (x)
    #define __Pyx_SET_CIMAG(z,y) __Pyx_CIMAG(z) = (y)
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/* 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))
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  #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))
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    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);
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/* 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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  #else
    #define __Pyx_c_is_zero_double(z) ((z)==0)
    #define __Pyx_c_conj_double(z)    (conj(z))
    #if 1
        #define __Pyx_c_abs_double(z)     (cabs(z))
        #define __Pyx_c_pow_double(a, b)  (cpow(a, b))
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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);
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    #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))
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    #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))
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    #define __Pyx_c_is_zero_long__double(z) ((z)==0)
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        #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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    #if 1
        static CYTHON_INLINE long double __Pyx_c_abs_long__double(__pyx_t_long_double_complex);
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/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyLong_From_PY_LONG_LONG(PY_LONG_LONG value);

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

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyLong_From_npy_int64(npy_int64 value);

/* CIntFromPy.proto */
static CYTHON_INLINE npy_int64 __Pyx_PyLong_As_npy_int64(PyObject *);

/* FormatTypeName.proto */
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#define __Pyx_FMT_TYPENAME "%U"
#define __Pyx_DECREF_TypeName(obj) Py_XDECREF(obj)
#if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
#define __Pyx_PyType_GetFullyQualifiedName PyType_GetFullyQualifiedName
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static __Pyx_TypeName __Pyx_PyType_GetFullyQualifiedName(PyTypeObject* tp);
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#define __Pyx_PyType_GetFullyQualifiedName(tp) ((tp)->tp_name)
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/* CIntFromPy.proto */
static CYTHON_INLINE long __Pyx_PyLong_As_long(PyObject *);

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

/* FastTypeChecks.proto */
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_TypeCheck(obj, type) __Pyx_IsSubtype(Py_TYPE(obj), (PyTypeObject *)type)
#define __Pyx_TypeCheck2(obj, type1, type2) __Pyx_IsAnySubtype2(Py_TYPE(obj), (PyTypeObject *)type1, (PyTypeObject *)type2)
static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b);
static CYTHON_INLINE int __Pyx_IsAnySubtype2(PyTypeObject *cls, PyTypeObject *a, PyTypeObject *b);
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject *type);
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *type1, PyObject *type2);
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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_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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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);

/* MultiPhaseInitModuleState.proto */
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static PyObject *__Pyx_State_FindModule(void*);
static int __Pyx_State_AddModule(PyObject* module, void*);
static int __Pyx_State_RemoveModule(void*);
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#define __Pyx_State_FindModule PyState_FindModule
#define __Pyx_State_AddModule PyState_AddModule
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/* #### Code section: module_declarations ### */
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#define __PYX_ABI_MODULE_NAME "_cython_" CYTHON_ABI
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static CYTHON_INLINE npy_intp __pyx_f_5numpy_5dtype_8itemsize_itemsize(PyArray_Descr *__pyx_v_self); /* proto*/
static CYTHON_INLINE npy_intp __pyx_f_5numpy_5dtype_9alignment_alignment(PyArray_Descr *__pyx_v_self); /* proto*/
static CYTHON_INLINE PyObject *__pyx_f_5numpy_5dtype_6fields_fields(PyArray_Descr *__pyx_v_self); /* proto*/
static CYTHON_INLINE PyObject *__pyx_f_5numpy_5dtype_5names_names(PyArray_Descr *__pyx_v_self); /* proto*/
static CYTHON_INLINE PyArray_ArrayDescr *__pyx_f_5numpy_5dtype_8subarray_subarray(PyArray_Descr *__pyx_v_self); /* proto*/
static CYTHON_INLINE npy_uint64 __pyx_f_5numpy_5dtype_5flags_flags(PyArray_Descr *__pyx_v_self); /* proto*/
static CYTHON_INLINE int __pyx_f_5numpy_9broadcast_7numiter_numiter(PyArrayMultiIterObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE npy_intp __pyx_f_5numpy_9broadcast_4size_size(PyArrayMultiIterObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE npy_intp __pyx_f_5numpy_9broadcast_5index_index(PyArrayMultiIterObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE int __pyx_f_5numpy_9broadcast_2nd_nd(PyArrayMultiIterObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE npy_intp *__pyx_f_5numpy_9broadcast_10dimensions_dimensions(PyArrayMultiIterObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE void **__pyx_f_5numpy_9broadcast_5iters_iters(PyArrayMultiIterObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE PyObject *__pyx_f_5numpy_7ndarray_4base_base(PyArrayObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE PyArray_Descr *__pyx_f_5numpy_7ndarray_5descr_descr(PyArrayObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE int __pyx_f_5numpy_7ndarray_4ndim_ndim(PyArrayObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE npy_intp *__pyx_f_5numpy_7ndarray_5shape_shape(PyArrayObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE npy_intp *__pyx_f_5numpy_7ndarray_7strides_strides(PyArrayObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE npy_intp __pyx_f_5numpy_7ndarray_4size_size(PyArrayObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE char *__pyx_f_5numpy_7ndarray_4data_data(PyArrayObject *__pyx_v_self); /* proto*/

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

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

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

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

/* Module declarations from "libc" */

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

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

/* Module declarations from "libcpp" */

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

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

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

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

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

/* 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 "cython" */

/* Module declarations from "pygsti.evotypes" */

/* Module declarations from "pygsti.evotypes.basereps_cython" */

/* Module declarations from "pygsti.evotypes.densitymx.statereps" */

/* Module declarations from "pygsti.evotypes.densitymx.opreps" */
/* #### Code section: typeinfo ### */
static const __Pyx_TypeInfo __Pyx_TypeInfo_double = { "double", NULL, sizeof(double), { 0 }, 0, 'R', 0, 0 };
static const __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_5numpy_int64_t = { "int64_t", NULL, sizeof(__pyx_t_5numpy_int64_t), { 0 }, 0, __PYX_IS_UNSIGNED(__pyx_t_5numpy_int64_t) ? 'U' : 'I', __PYX_IS_UNSIGNED(__pyx_t_5numpy_int64_t), 0 };
/* #### Code section: before_global_var ### */
#define __Pyx_MODULE_NAME "pygsti.evotypes.densitymx.opreps"
extern int __pyx_module_is_main_pygsti__evotypes__densitymx__opreps;
int __pyx_module_is_main_pygsti__evotypes__densitymx__opreps = 0;

/* Implementation of "pygsti.evotypes.densitymx.opreps" */
/* #### Code section: global_var ### */
static PyObject *__pyx_builtin_super;
static PyObject *__pyx_builtin_sum;
static PyObject *__pyx_builtin_zip;
static PyObject *__pyx_builtin_enumerate;
/* #### Code section: string_decls ### */
/* #### Code section: decls ### */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_5OpRep___cinit__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRep *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_5OpRep_2__reduce__(CYTHON_UNUSED struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRep *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_5OpRep_4__pygsti_reduce__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRep *__pyx_v_self); /* proto */
static void __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_5OpRep_6__dealloc__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRep *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_5OpRep_3dim___get__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRep *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_5OpRep_8acton(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRep *__pyx_v_self, struct __pyx_obj_6pygsti_8evotypes_9densitymx_9statereps_StateRep *__pyx_v_state); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_5OpRep_10adjoint_acton(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRep *__pyx_v_self, struct __pyx_obj_6pygsti_8evotypes_9densitymx_9statereps_StateRep *__pyx_v_state); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_5OpRep_16aslinearoperator_mv(PyObject *__pyx_self, PyObject *__pyx_v_v); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_5OpRep_16aslinearoperator_2rmv(PyObject *__pyx_self, PyObject *__pyx_v_v); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_5OpRep_12aslinearoperator(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRep *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_5OpRep_11state_space___get__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRep *__pyx_v_self); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_5OpRep_11state_space_2__set__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRep *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_5OpRep_11state_space_4__del__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRep *__pyx_v_self); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseSuperop___init__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop *__pyx_v_self, PyObject *__pyx_v_mx, PyObject *__pyx_v_basis, PyObject *__pyx_v_state_space); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseSuperop_2base_has_changed(CYTHON_UNUSED struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseSuperop_4to_dense(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop *__pyx_v_self, PyObject *__pyx_v_on_space); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseSuperop_6to_dense_superop(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseSuperop_8__reduce__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseSuperop_10__setstate__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop *__pyx_v_self, PyObject *__pyx_v_state); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseSuperop_12__str__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseSuperop_14copy(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseSuperop_4base___get__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop *__pyx_v_self); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseSuperop_4base_2__set__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseSuperop_4base_4__del__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseSuperop_5basis___get__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop *__pyx_v_self); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseSuperop_5basis_2__set__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseSuperop_5basis_4__del__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop *__pyx_v_self); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseUnitary___init__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseUnitary *__pyx_v_self, PyObject *__pyx_v_mx, PyObject *__pyx_v_basis, PyObject *__pyx_v_state_space); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseUnitary_2base_has_changed(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseUnitary *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseUnitary_4to_dense(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseUnitary *__pyx_v_self, PyObject *__pyx_v_on_space); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseUnitary_6to_dense_superop(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseUnitary *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseUnitary_8__reduce__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseUnitary *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseUnitary_10__setstate__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseUnitary *__pyx_v_self, PyObject *__pyx_v_state); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseUnitary_12__str__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseUnitary *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseUnitary_14copy(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseUnitary *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseUnitary_5basis___get__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseUnitary *__pyx_v_self); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseUnitary_5basis_2__set__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseUnitary *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseUnitary_5basis_4__del__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseUnitary *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseUnitary_4base___get__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseUnitary *__pyx_v_self); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseUnitary_4base_2__set__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseUnitary *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseUnitary_4base_4__del__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseUnitary *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseUnitary_12superop_base___get__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseUnitary *__pyx_v_self); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseUnitary_12superop_base_2__set__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseUnitary *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseUnitary_12superop_base_4__del__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseUnitary *__pyx_v_self); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_11OpRepSparse___cinit__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepSparse *__pyx_v_self, PyArrayObject *__pyx_v_a_data, PyArrayObject *__pyx_v_a_indices, PyArrayObject *__pyx_v_a_indptr, PyObject *__pyx_v_state_space); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_11OpRepSparse_2__reduce__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepSparse *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_11OpRepSparse_4to_dense(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepSparse *__pyx_v_self, PyObject *__pyx_v_on_space); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_11OpRepSparse_6copy(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepSparse *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_11OpRepSparse_4data___get__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepSparse *__pyx_v_self); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_11OpRepSparse_4data_2__set__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepSparse *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_11OpRepSparse_4data_4__del__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepSparse *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_11OpRepSparse_7indices___get__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepSparse *__pyx_v_self); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_11OpRepSparse_7indices_2__set__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepSparse *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_11OpRepSparse_7indices_4__del__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepSparse *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_11OpRepSparse_6indptr___get__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepSparse *__pyx_v_self); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_11OpRepSparse_6indptr_2__set__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepSparse *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_11OpRepSparse_6indptr_4__del__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepSparse *__pyx_v_self); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_13OpRepStandard___init__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepStandard *__pyx_v_self, PyObject *__pyx_v_name, PyObject *__pyx_v_basis, PyObject *__pyx_v_state_space); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_13OpRepStandard_2__reduce__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepStandard *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_13OpRepStandard_4__setstate__(CYTHON_UNUSED struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepStandard *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v_state); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_13OpRepStandard_4name___get__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepStandard *__pyx_v_self); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_13OpRepStandard_4name_2__set__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepStandard *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_13OpRepStandard_4name_4__del__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepStandard *__pyx_v_self); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_10OpRepKraus___init__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepKraus *__pyx_v_self, PyObject *__pyx_v_basis, PyObject *__pyx_v_kraus_reps, PyObject *__pyx_v_state_space); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_10OpRepKraus_2__str__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepKraus *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_10OpRepKraus_4__reduce__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepKraus *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_10OpRepKraus_6copy(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepKraus *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_10OpRepKraus_8to_dense(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepKraus *__pyx_v_self, PyObject *__pyx_v_on_space); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_10OpRepKraus_5basis___get__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepKraus *__pyx_v_self); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_10OpRepKraus_5basis_2__set__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepKraus *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_10OpRepKraus_5basis_4__del__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepKraus *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_10OpRepKraus_10kraus_reps___get__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepKraus *__pyx_v_self); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_10OpRepKraus_10kraus_reps_2__set__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepKraus *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_10OpRepKraus_10kraus_reps_4__del__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepKraus *__pyx_v_self); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_18OpRepRandomUnitary___init__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepRandomUnitary *__pyx_v_self, PyObject *__pyx_v_basis, PyArrayObject *__pyx_v_unitary_rates, PyObject *__pyx_v_unitary_reps, CYTHON_UNUSED PyObject *__pyx_v_seed_or_state, PyObject *__pyx_v_state_space); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_18OpRepRandomUnitary_2__reduce__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepRandomUnitary *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_18OpRepRandomUnitary_4__str__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepRandomUnitary *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_18OpRepRandomUnitary_6copy(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepRandomUnitary *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_18OpRepRandomUnitary_8update_unitary_rates(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepRandomUnitary *__pyx_v_self, PyObject *__pyx_v_rates); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_18OpRepRandomUnitary_10to_dense(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepRandomUnitary *__pyx_v_self, PyObject *__pyx_v_on_space); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_18OpRepRandomUnitary_5basis___get__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepRandomUnitary *__pyx_v_self); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_18OpRepRandomUnitary_5basis_2__set__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepRandomUnitary *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_18OpRepRandomUnitary_5basis_4__del__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepRandomUnitary *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_18OpRepRandomUnitary_13unitary_rates___get__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepRandomUnitary *__pyx_v_self); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_18OpRepRandomUnitary_13unitary_rates_2__set__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepRandomUnitary *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_18OpRepRandomUnitary_13unitary_rates_4__del__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepRandomUnitary *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_18OpRepRandomUnitary_12unitary_reps___get__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepRandomUnitary *__pyx_v_self); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_18OpRepRandomUnitary_12unitary_reps_2__set__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepRandomUnitary *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_18OpRepRandomUnitary_12unitary_reps_4__del__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepRandomUnitary *__pyx_v_self); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_15OpRepStochastic___init__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepStochastic *__pyx_v_self, PyObject *__pyx_v_stochastic_basis, PyObject *__pyx_v_basis, PyObject *__pyx_v_initial_rates, PyObject *__pyx_v_seed_or_state, PyObject *__pyx_v_state_space); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_15OpRepStochastic_2update_rates(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepStochastic *__pyx_v_self, PyObject *__pyx_v_rates); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_15OpRepStochastic_4__reduce__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepStochastic *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_15OpRepStochastic_6__setstate__(CYTHON_UNUSED struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepStochastic *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v_state); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_15OpRepStochastic_16stochastic_basis___get__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepStochastic *__pyx_v_self); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_15OpRepStochastic_16stochastic_basis_2__set__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepStochastic *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_15OpRepStochastic_16stochastic_basis_4__del__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepStochastic *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_15OpRepStochastic_19stochastic_superops___get__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepStochastic *__pyx_v_self); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_15OpRepStochastic_19stochastic_superops_2__set__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepStochastic *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_15OpRepStochastic_19stochastic_superops_4__del__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepStochastic *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_15OpRepStochastic_5rates___get__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepStochastic *__pyx_v_self); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_15OpRepStochastic_5rates_2__set__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepStochastic *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_15OpRepStochastic_5rates_4__del__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepStochastic *__pyx_v_self); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_13OpRepComposed___cinit__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepComposed *__pyx_v_self, PyObject *__pyx_v_factor_op_reps, PyObject *__pyx_v_state_space); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_13OpRepComposed_2__reduce__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepComposed *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_13OpRepComposed_4reinit_factor_op_reps(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepComposed *__pyx_v_self, PyObject *__pyx_v_new_factor_op_reps); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_13OpRepComposed_6copy(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepComposed *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_13OpRepComposed_11factor_reps___get__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepComposed *__pyx_v_self); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_13OpRepComposed_11factor_reps_2__set__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepComposed *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_13OpRepComposed_11factor_reps_4__del__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepComposed *__pyx_v_self); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_8OpRepSum___cinit__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepSum *__pyx_v_self, PyObject *__pyx_v_factor_reps, PyObject *__pyx_v_state_space); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_8OpRepSum_2__reduce__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepSum *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_8OpRepSum_4copy(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepSum *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_8OpRepSum_11factor_reps___get__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepSum *__pyx_v_self); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_8OpRepSum_11factor_reps_2__set__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepSum *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_8OpRepSum_11factor_reps_4__del__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepSum *__pyx_v_self); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl___cinit__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl *__pyx_v_self, PyObject *__pyx_v_noop_incrementers, PyObject *__pyx_v_num_basis_els_noop_blankaction, PyObject *__pyx_v_baseinds, PyObject *__pyx_v_blocksizes, PyObject *__pyx_v_num_basis_els, PyObject *__pyx_v_action_inds, PyObject *__pyx_v_ncomponents_in_active_block, PyObject *__pyx_v_active_block_index, PyObject *__pyx_v_nblocks); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_17noop_incrementers___get__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl *__pyx_v_self); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_17noop_incrementers_2__set__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_17noop_incrementers_4__del__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_30num_basis_els_noop_blankaction___get__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl *__pyx_v_self); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_30num_basis_els_noop_blankaction_2__set__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_30num_basis_els_noop_blankaction_4__del__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_8baseinds___get__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl *__pyx_v_self); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_8baseinds_2__set__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_8baseinds_4__del__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_10blocksizes___get__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl *__pyx_v_self); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_10blocksizes_2__set__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_10blocksizes_4__del__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_13num_basis_els___get__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl *__pyx_v_self); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_13num_basis_els_2__set__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_13num_basis_els_4__del__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_11action_inds___get__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl *__pyx_v_self); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_11action_inds_2__set__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_11action_inds_4__del__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_27ncomponents_in_active_block___get__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl *__pyx_v_self); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_27ncomponents_in_active_block_2__set__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_18active_block_index___get__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl *__pyx_v_self); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_18active_block_index_2__set__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_7nblocks___get__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl *__pyx_v_self); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_7nblocks_2__set__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_2__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_4__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps__compute_embedding_quantities_cachekey(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_state_space, PyObject *__pyx_v_target_labels, PyObject *__pyx_v_embedded_rep_dim); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_2_compute_embedding_quantities(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_state_space, PyObject *__pyx_v_target_labels, PyObject *__pyx_v_embedded_rep_dim); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_13OpRepEmbedded___init__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepEmbedded *__pyx_v_self, PyObject *__pyx_v_state_space, PyObject *__pyx_v_target_labels, struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRep *__pyx_v_embedded_rep); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_13OpRepEmbedded_2__reduce__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepEmbedded *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_13OpRepEmbedded_4__setstate__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepEmbedded *__pyx_v_self, PyObject *__pyx_v_state); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_13OpRepEmbedded_6copy(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepEmbedded *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_13OpRepEmbedded_12embedded_rep___get__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepEmbedded *__pyx_v_self); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_13OpRepEmbedded_12embedded_rep_2__set__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepEmbedded *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_13OpRepEmbedded_12embedded_rep_4__del__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepEmbedded *__pyx_v_self); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_16OpRepExpErrorgen___init__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepExpErrorgen *__pyx_v_self, PyObject *__pyx_v_errorgen_rep); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_16OpRepExpErrorgen_2errgenrep_has_changed(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepExpErrorgen *__pyx_v_self, PyObject *__pyx_v_onenorm_upperbound); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_16OpRepExpErrorgen_4set_exp_params(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepExpErrorgen *__pyx_v_self, double __pyx_v_mu, double __pyx_v_eta, __pyx_t_6pygsti_8evotypes_9densitymx_6opreps_INT __pyx_v_m_star, __pyx_t_6pygsti_8evotypes_9densitymx_6opreps_INT __pyx_v_s); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_16OpRepExpErrorgen_6exp_params(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepExpErrorgen *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_16OpRepExpErrorgen_8__reduce__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepExpErrorgen *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_16OpRepExpErrorgen_10__setstate__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepExpErrorgen *__pyx_v_self, PyObject *__pyx_v_state); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_16OpRepExpErrorgen_12copy(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepExpErrorgen *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_16OpRepExpErrorgen_12errorgen_rep___get__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepExpErrorgen *__pyx_v_self); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_16OpRepExpErrorgen_12errorgen_rep_2__set__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepExpErrorgen *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_16OpRepExpErrorgen_12errorgen_rep_4__del__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepExpErrorgen *__pyx_v_self); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_13OpRepRepeated___cinit__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepRepeated *__pyx_v_self, struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRep *__pyx_v_rep_to_repeat, __pyx_t_6pygsti_8evotypes_9densitymx_6opreps_INT __pyx_v_num_repetitions, PyObject *__pyx_v_state_space); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_13OpRepRepeated_2__reduce__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepRepeated *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_13OpRepRepeated_4copy(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepRepeated *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_13OpRepRepeated_12repeated_rep___get__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepRepeated *__pyx_v_self); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_13OpRepRepeated_12repeated_rep_2__set__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepRepeated *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_13OpRepRepeated_12repeated_rep_4__del__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepRepeated *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_13OpRepRepeated_15num_repetitions___get__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepRepeated *__pyx_v_self); /* proto */
static int __pyx_pf_6pygsti_8evotypes_9densitymx_6opreps_13OpRepRepeated_15num_repetitions_2__set__(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepRepeated *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_tp_new_6pygsti_8evotypes_9densitymx_6opreps_OpRep(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseUnitary(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_6pygsti_8evotypes_9densitymx_6opreps_OpRepSparse(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_6pygsti_8evotypes_9densitymx_6opreps_OpRepStandard(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_6pygsti_8evotypes_9densitymx_6opreps_OpRepKraus(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_6pygsti_8evotypes_9densitymx_6opreps_OpRepRandomUnitary(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_6pygsti_8evotypes_9densitymx_6opreps_OpRepStochastic(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_6pygsti_8evotypes_9densitymx_6opreps_OpRepComposed(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_6pygsti_8evotypes_9densitymx_6opreps_OpRepSum(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_6pygsti_8evotypes_9densitymx_6opreps_OpRepEmbedded(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_6pygsti_8evotypes_9densitymx_6opreps_OpRepExpErrorgen(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_6pygsti_8evotypes_9densitymx_6opreps_OpRepRepeated(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_6pygsti_8evotypes_9densitymx_6opreps___pyx_scope_struct__aslinearoperator(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
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  PyTypeObject *__pyx_ptype_6pygsti_8evotypes_9densitymx_6opreps_OpRep;
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struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps___pyx_scope_struct__aslinearoperator *__pyx_freelist_6pygsti_8evotypes_9densitymx_6opreps___pyx_scope_struct__aslinearoperator[8];
int __pyx_freecount_6pygsti_8evotypes_9densitymx_6opreps___pyx_scope_struct__aslinearoperator;
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#endif
/* #### Code section: constant_name_defines ### */
#define __pyx_kp_u_ __pyx_string_tab[0]
#define __pyx_kp_u_All_qubit_labels_of_a_multi_qubi __pyx_string_tab[1]
#define __pyx_kp_u_Can_only_compute_OpRepKraus_to_d __pyx_string_tab[2]
#define __pyx_kp_u_Embedded_operation_has_dimension __pyx_string_tab[3]
#define __pyx_kp_u_Name_s_not_in_standard_unitaries __pyx_string_tab[4]
#define __pyx_kp_u_Note_that_Cython_is_deliberately __pyx_string_tab[5]
#define __pyx_kp_u_OpRepDenseUnitary __pyx_string_tab[6]
#define __pyx_kp_u_OpRepKraus_with_ops __pyx_string_tab[7]
#define __pyx_kp_u_OpRepRandomUnitary_rates __pyx_string_tab[8]
#define __pyx_kp_u__2 __pyx_string_tab[9]
#define __pyx_kp_u__3 __pyx_string_tab[10]
#define __pyx_kp_u__4 __pyx_string_tab[11]
#define __pyx_kp_u__5 __pyx_string_tab[12]
#define __pyx_kp_u__6 __pyx_string_tab[13]
#define __pyx_kp_u_add_note __pyx_string_tab[14]
#define __pyx_kp_u_densitymx_evotype_cannot_produc __pyx_string_tab[15]
#define __pyx_kp_u_disable __pyx_string_tab[16]
#define __pyx_kp_u_enable __pyx_string_tab[17]
#define __pyx_kp_u_gc __pyx_string_tab[18]
#define __pyx_kp_u_inconsistent_with_the_given_tar __pyx_string_tab[19]
#define __pyx_kp_u_isenabled __pyx_string_tab[20]
#define __pyx_kp_u_no_default___reduce___due_to_non __pyx_string_tab[21]
#define __pyx_kp_u_numpy__core_multiarray_failed_to __pyx_string_tab[22]
#define __pyx_kp_u_numpy__core_umath_failed_to_impo __pyx_string_tab[23]
#define __pyx_kp_u_pygsti_baseobjs_statespace __pyx_string_tab[24]
#define __pyx_kp_u_pygsti_evotypes_densitymx_opreps_2 __pyx_string_tab[25]
#define __pyx_kp_u_pygsti_tools __pyx_string_tab[26]
#define __pyx_kp_u_stringsource __pyx_string_tab[27]
#define __pyx_n_u_C_CONTIGUOUS __pyx_string_tab[28]
#define __pyx_n_u_EmbeddingArraysCacheEl __pyx_string_tab[29]
#define __pyx_n_u_EmbeddingArraysCacheEl___reduce __pyx_string_tab[30]
#define __pyx_n_u_EmbeddingArraysCacheEl___setstat __pyx_string_tab[31]
#define __pyx_n_u_HilbertSchmidt __pyx_string_tab[32]
#define __pyx_n_u_LinearOperator __pyx_string_tab[33]
#define __pyx_n_u_OWNDATA __pyx_string_tab[34]
#define __pyx_n_u_OpRep __pyx_string_tab[35]
#define __pyx_n_u_OpRepComposed __pyx_string_tab[36]
#define __pyx_n_u_OpRepComposed___reduce __pyx_string_tab[37]
#define __pyx_n_u_OpRepComposed_copy __pyx_string_tab[38]
#define __pyx_n_u_OpRepComposed_reinit_factor_op_r __pyx_string_tab[39]
#define __pyx_n_u_OpRepDenseSuperop __pyx_string_tab[40]
#define __pyx_n_u_OpRepDenseSuperop___reduce __pyx_string_tab[41]
#define __pyx_n_u_OpRepDenseSuperop___setstate __pyx_string_tab[42]
#define __pyx_n_u_OpRepDenseSuperop_base_has_chang __pyx_string_tab[43]
#define __pyx_n_u_OpRepDenseSuperop_copy __pyx_string_tab[44]
#define __pyx_n_u_OpRepDenseSuperop_to_dense __pyx_string_tab[45]
#define __pyx_n_u_OpRepDenseSuperop_to_dense_super __pyx_string_tab[46]
#define __pyx_n_u_OpRepDenseUnitary_2 __pyx_string_tab[47]
#define __pyx_n_u_OpRepDenseUnitary___reduce __pyx_string_tab[48]
#define __pyx_n_u_OpRepDenseUnitary___setstate __pyx_string_tab[49]
#define __pyx_n_u_OpRepDenseUnitary_base_has_chang __pyx_string_tab[50]
#define __pyx_n_u_OpRepDenseUnitary_copy __pyx_string_tab[51]
#define __pyx_n_u_OpRepDenseUnitary_to_dense __pyx_string_tab[52]
#define __pyx_n_u_OpRepDenseUnitary_to_dense_super __pyx_string_tab[53]
#define __pyx_n_u_OpRepEmbedded __pyx_string_tab[54]
#define __pyx_n_u_OpRepEmbedded___reduce __pyx_string_tab[55]
#define __pyx_n_u_OpRepEmbedded___setstate __pyx_string_tab[56]
#define __pyx_n_u_OpRepEmbedded_copy __pyx_string_tab[57]
#define __pyx_n_u_OpRepExpErrorgen __pyx_string_tab[58]
#define __pyx_n_u_OpRepExpErrorgen___reduce __pyx_string_tab[59]
#define __pyx_n_u_OpRepExpErrorgen___setstate __pyx_string_tab[60]
#define __pyx_n_u_OpRepExpErrorgen_copy __pyx_string_tab[61]
#define __pyx_n_u_OpRepExpErrorgen_errgenrep_has_c __pyx_string_tab[62]
#define __pyx_n_u_OpRepExpErrorgen_exp_params __pyx_string_tab[63]
#define __pyx_n_u_OpRepExpErrorgen_set_exp_params __pyx_string_tab[64]
#define __pyx_n_u_OpRepKraus __pyx_string_tab[65]
#define __pyx_n_u_OpRepKraus___reduce __pyx_string_tab[66]
#define __pyx_n_u_OpRepKraus_copy __pyx_string_tab[67]
#define __pyx_n_u_OpRepKraus_to_dense __pyx_string_tab[68]
#define __pyx_n_u_OpRepRandomUnitary __pyx_string_tab[69]
#define __pyx_n_u_OpRepRandomUnitary___reduce __pyx_string_tab[70]
#define __pyx_n_u_OpRepRandomUnitary_copy __pyx_string_tab[71]
#define __pyx_n_u_OpRepRandomUnitary_to_dense __pyx_string_tab[72]
#define __pyx_n_u_OpRepRandomUnitary_update_unitar __pyx_string_tab[73]
#define __pyx_n_u_OpRepRepeated __pyx_string_tab[74]
#define __pyx_n_u_OpRepRepeated___reduce __pyx_string_tab[75]
#define __pyx_n_u_OpRepRepeated_copy __pyx_string_tab[76]
#define __pyx_n_u_OpRepSparse __pyx_string_tab[77]
#define __pyx_n_u_OpRepSparse___reduce __pyx_string_tab[78]
#define __pyx_n_u_OpRepSparse_copy __pyx_string_tab[79]
#define __pyx_n_u_OpRepSparse_to_dense __pyx_string_tab[80]
#define __pyx_n_u_OpRepStandard __pyx_string_tab[81]
#define __pyx_n_u_OpRepStandard___reduce __pyx_string_tab[82]
#define __pyx_n_u_OpRepStandard___setstate __pyx_string_tab[83]
#define __pyx_n_u_OpRepStochastic __pyx_string_tab[84]
#define __pyx_n_u_OpRepStochastic___reduce __pyx_string_tab[85]
#define __pyx_n_u_OpRepStochastic___setstate __pyx_string_tab[86]
#define __pyx_n_u_OpRepStochastic_update_rates __pyx_string_tab[87]
#define __pyx_n_u_OpRepSum __pyx_string_tab[88]
#define __pyx_n_u_OpRepSum___reduce __pyx_string_tab[89]
#define __pyx_n_u_OpRepSum_copy __pyx_string_tab[90]
#define __pyx_n_u_OpRep___pygsti_reduce __pyx_string_tab[91]
#define __pyx_n_u_OpRep___reduce __pyx_string_tab[92]
#define __pyx_n_u_OpRep_acton __pyx_string_tab[93]
#define __pyx_n_u_OpRep_adjoint_acton __pyx_string_tab[94]
#define __pyx_n_u_OpRep_aslinearoperator __pyx_string_tab[95]
#define __pyx_n_u_Pyx_PyDict_NextRef __pyx_string_tab[96]
#define __pyx_n_u_ScipyLinearOperator __pyx_string_tab[97]
#define __pyx_n_u_StateSpace __pyx_string_tab[98]
#define __pyx_n_u_StateSpace_2 __pyx_string_tab[99]
#define __pyx_n_u_a_1_norm __pyx_string_tab[100]
#define __pyx_n_u_a_data __pyx_string_tab[101]
#define __pyx_n_u_a_indices __pyx_string_tab[102]
#define __pyx_n_u_a_indptr __pyx_string_tab[103]
#define __pyx_n_u_action_inds __pyx_string_tab[104]
#define __pyx_n_u_active_block_index __pyx_string_tab[105]
#define __pyx_n_u_acton __pyx_string_tab[106]
#define __pyx_n_u_adjoint_acton __pyx_string_tab[107]
#define __pyx_n_u_array __pyx_string_tab[108]
#define __pyx_n_u_ascontiguousarray __pyx_string_tab[109]
#define __pyx_n_u_aslinearoperator __pyx_string_tab[110]
#define __pyx_n_u_aslinearoperator_locals_mv __pyx_string_tab[111]
#define __pyx_n_u_aslinearoperator_locals_rmv __pyx_string_tab[112]
#define __pyx_n_u_asyncio_coroutines __pyx_string_tab[113]
#define __pyx_n_u_bInd __pyx_string_tab[114]
#define __pyx_n_u_base_has_changed __pyx_string_tab[115]
#define __pyx_n_u_baseinds __pyx_string_tab[116]
#define __pyx_n_u_baseobjs_statespace __pyx_string_tab[117]
#define __pyx_n_u_basis __pyx_string_tab[118]
#define __pyx_n_u_basisInds_action __pyx_string_tab[119]
#define __pyx_n_u_basistools __pyx_string_tab[120]
#define __pyx_n_u_blocksizes __pyx_string_tab[121]
#define __pyx_n_u_bt __pyx_string_tab[122]
#define __pyx_n_u_cache_key __pyx_string_tab[123]
#define __pyx_n_u_cast __pyx_string_tab[124]
#define __pyx_n_u_class __pyx_string_tab[125]
#define __pyx_n_u_class_getitem __pyx_string_tab[126]
#define __pyx_n_u_cline_in_traceback __pyx_string_tab[127]
#define __pyx_n_u_compute_embedding_quantities __pyx_string_tab[128]
#define __pyx_n_u_compute_embedding_quantities_ca __pyx_string_tab[129]
#define __pyx_n_u_copy __pyx_string_tab[130]
#define __pyx_n_u_copy_2 __pyx_string_tab[131]
#define __pyx_n_u_creps __pyx_string_tab[132]
#define __pyx_n_u_csr_matrix __pyx_string_tab[133]
#define __pyx_n_u_cumprod __pyx_string_tab[134]
#define __pyx_n_u_d __pyx_string_tab[135]
#define __pyx_n_u_data __pyx_string_tab[136]
#define __pyx_n_u_dec __pyx_string_tab[137]
#define __pyx_n_u_deepcopy __pyx_string_tab[138]
#define __pyx_n_u_dim __pyx_string_tab[139]
#define __pyx_n_u_dtype __pyx_string_tab[140]
#define __pyx_n_u_elements __pyx_string_tab[141]
#define __pyx_n_u_embedded_dim __pyx_string_tab[142]
#define __pyx_n_u_embedded_rep __pyx_string_tab[143]
#define __pyx_n_u_embedded_rep_dim __pyx_string_tab[144]
#define __pyx_n_u_embedding_quantities_cache __pyx_string_tab[145]
#define __pyx_n_u_empty __pyx_string_tab[146]
#define __pyx_n_u_enumerate __pyx_string_tab[147]
#define __pyx_n_u_errgenrep_has_changed __pyx_string_tab[148]
#define __pyx_n_u_errorgen_rep __pyx_string_tab[149]
#define __pyx_n_u_eta __pyx_string_tab[150]
#define __pyx_n_u_exp_params __pyx_string_tab[151]
#define __pyx_n_u_expop_multiply_prep __pyx_string_tab[152]
#define __pyx_n_u_f __pyx_string_tab[153]
#define __pyx_n_u_factor_op_reps __pyx_string_tab[154]
#define __pyx_n_u_factor_reps __pyx_string_tab[155]
#define __pyx_n_u_flags __pyx_string_tab[156]
#define __pyx_n_u_flipud __pyx_string_tab[157]
#define __pyx_n_u_func __pyx_string_tab[158]
#define __pyx_n_u_getstate __pyx_string_tab[159]
#define __pyx_n_u_i __pyx_string_tab[160]
#define __pyx_n_u_iTensorProdBlk __pyx_string_tab[161]
#define __pyx_n_u_iTensorProdBlks __pyx_string_tab[162]
#define __pyx_n_u_identity __pyx_string_tab[163]
#define __pyx_n_u_ii __pyx_string_tab[164]
#define __pyx_n_u_in_state __pyx_string_tab[165]
#define __pyx_n_u_index __pyx_string_tab[166]
#define __pyx_n_u_init __pyx_string_tab[167]
#define __pyx_n_u_initial_rates __pyx_string_tab[168]
#define __pyx_n_u_int64 __pyx_string_tab[169]
#define __pyx_n_u_internalgates __pyx_string_tab[170]
#define __pyx_n_u_is_coroutine __pyx_string_tab[171]
#define __pyx_n_u_items __pyx_string_tab[172]
#define __pyx_n_u_itertools __pyx_string_tab[173]
#define __pyx_n_u_itertools_2 __pyx_string_tab[174]
#define __pyx_n_u_itgs __pyx_string_tab[175]
#define __pyx_n_u_j __pyx_string_tab[176]
#define __pyx_n_u_k __pyx_string_tab[177]
#define __pyx_n_u_kraus_reps __pyx_string_tab[178]
#define __pyx_n_u_l __pyx_string_tab[179]
#define __pyx_n_u_label __pyx_string_tab[180]
#define __pyx_n_u_labelIndices __pyx_string_tab[181]
#define __pyx_n_u_label_dimension __pyx_string_tab[182]
#define __pyx_n_u_label_tensor_product_block_index __pyx_string_tab[183]
#define __pyx_n_u_lbt __pyx_string_tab[184]
#define __pyx_n_u_lindbladtools __pyx_string_tab[185]
#define __pyx_n_u_m_star __pyx_string_tab[186]
#define __pyx_n_u_main __pyx_string_tab[187]
#define __pyx_n_u_matrixtools __pyx_string_tab[188]
#define __pyx_n_u_matvec __pyx_string_tab[189]
#define __pyx_n_u_minimal __pyx_string_tab[190]
#define __pyx_n_u_module __pyx_string_tab[191]
#define __pyx_n_u_mt __pyx_string_tab[192]
#define __pyx_n_u_mu __pyx_string_tab[193]
#define __pyx_n_u_multipliers __pyx_string_tab[194]
#define __pyx_n_u_mv __pyx_string_tab[195]
#define __pyx_n_u_mx __pyx_string_tab[196]
#define __pyx_n_u_name __pyx_string_tab[197]
#define __pyx_n_u_name_2 __pyx_string_tab[198]
#define __pyx_n_u_nblocks __pyx_string_tab[199]
#define __pyx_n_u_ncomponents_in_active_block __pyx_string_tab[200]
#define __pyx_n_u_ndim __pyx_string_tab[201]
#define __pyx_n_u_new __pyx_string_tab[202]
#define __pyx_n_u_new_factor_op_reps __pyx_string_tab[203]
#define __pyx_n_u_nfactors __pyx_string_tab[204]
#define __pyx_n_u_noop_incrementers __pyx_string_tab[205]
#define __pyx_n_u_np __pyx_string_tab[206]
#define __pyx_n_u_num_basis_els __pyx_string_tab[207]
#define __pyx_n_u_num_basis_els_noop_blankaction __pyx_string_tab[208]
#define __pyx_n_u_num_repetitions __pyx_string_tab[209]
#define __pyx_n_u_num_tensor_product_blocks __pyx_string_tab[210]
#define __pyx_n_u_numpy __pyx_string_tab[211]
#define __pyx_n_u_offset __pyx_string_tab[212]
#define __pyx_n_u_on_space __pyx_string_tab[213]
#define __pyx_n_u_onenorm_upperbound __pyx_string_tab[214]
#define __pyx_n_u_op_b __pyx_string_tab[215]
#define __pyx_n_u_optools __pyx_string_tab[216]
#define __pyx_n_u_ot __pyx_string_tab[217]
#define __pyx_n_u_out_state __pyx_string_tab[218]
#define __pyx_n_u_pop __pyx_string_tab[219]
#define __pyx_n_u_prod __pyx_string_tab[220]
#define __pyx_n_u_product __pyx_string_tab[221]
#define __pyx_n_u_pygsti_evotypes_densitymx_opreps __pyx_string_tab[222]
#define __pyx_n_u_pygsti_reduce __pyx_string_tab[223]
#define __pyx_n_u_pyx_state __pyx_string_tab[224]
#define __pyx_n_u_qualname __pyx_string_tab[225]
#define __pyx_n_u_rate __pyx_string_tab[226]
#define __pyx_n_u_rates __pyx_string_tab[227]
#define __pyx_n_u_reduce __pyx_string_tab[228]
#define __pyx_n_u_reduce_cython __pyx_string_tab[229]
#define __pyx_n_u_reduce_ex __pyx_string_tab[230]
#define __pyx_n_u_reinit_factor_op_reps __pyx_string_tab[231]
#define __pyx_n_u_rep __pyx_string_tab[232]
#define __pyx_n_u_rep_to_repeat __pyx_string_tab[233]
#define __pyx_n_u_require __pyx_string_tab[234]
#define __pyx_n_u_requirements __pyx_string_tab[235]
#define __pyx_n_u_rmatvec __pyx_string_tab[236]
#define __pyx_n_u_rmv __pyx_string_tab[237]
#define __pyx_n_u_s __pyx_string_tab[238]
#define __pyx_n_u_scipy_sparse __pyx_string_tab[239]
#define __pyx_n_u_scipy_sparse_linalg __pyx_string_tab[240]
#define __pyx_n_u_seed_or_state __pyx_string_tab[241]
#define __pyx_n_u_self __pyx_string_tab[242]
#define __pyx_n_u_set_exp_params __pyx_string_tab[243]
#define __pyx_n_u_set_name __pyx_string_tab[244]
#define __pyx_n_u_setdefault __pyx_string_tab[245]
#define __pyx_n_u_setstate __pyx_string_tab[246]
#define __pyx_n_u_setstate_cython __pyx_string_tab[247]
#define __pyx_n_u_shape __pyx_string_tab[248]
#define __pyx_n_u_sparse __pyx_string_tab[249]
#define __pyx_n_u_sparsemx __pyx_string_tab[250]
#define __pyx_n_u_sps __pyx_string_tab[251]
#define __pyx_n_u_standard_gatename_unitaries __pyx_string_tab[252]
#define __pyx_n_u_state __pyx_string_tab[253]
#define __pyx_n_u_state_space __pyx_string_tab[254]
#define __pyx_n_u_stochastic_basis __pyx_string_tab[255]
#define __pyx_n_u_sum __pyx_string_tab[256]
#define __pyx_n_u_super __pyx_string_tab[257]
#define __pyx_n_u_superop_data __pyx_string_tab[258]
#define __pyx_n_u_superop_writable __pyx_string_tab[259]
#define __pyx_n_u_sys __pyx_string_tab[260]
#define __pyx_n_u_target_labels __pyx_string_tab[261]
#define __pyx_n_u_tensorProdBlkLabels __pyx_string_tab[262]
#define __pyx_n_u_tensor_product_block_dimensions __pyx_string_tab[263]
#define __pyx_n_u_tensor_product_block_labels __pyx_string_tab[264]
#define __pyx_n_u_test __pyx_string_tab[265]
#define __pyx_n_u_tmp __pyx_string_tab[266]
#define __pyx_n_u_to_dense __pyx_string_tab[267]
#define __pyx_n_u_to_dense_superket __pyx_string_tab[268]
#define __pyx_n_u_to_dense_superop __pyx_string_tab[269]
#define __pyx_n_u_toarray __pyx_string_tab[270]
#define __pyx_n_u_tools __pyx_string_tab[271]
#define __pyx_n_u_u __pyx_string_tab[272]
#define __pyx_n_u_udim __pyx_string_tab[273]
#define __pyx_n_u_unitary_rates __pyx_string_tab[274]
#define __pyx_n_u_unitary_reps __pyx_string_tab[275]
#define __pyx_n_u_unitary_to_superop __pyx_string_tab[276]
#define __pyx_n_u_update_rates __pyx_string_tab[277]
#define __pyx_n_u_update_unitary_rates __pyx_string_tab[278]
#define __pyx_n_u_v __pyx_string_tab[279]
#define __pyx_n_u_values __pyx_string_tab[280]
#define __pyx_n_u_vec_index __pyx_string_tab[281]
#define __pyx_n_u_writable __pyx_string_tab[282]
#define __pyx_n_u_writeable __pyx_string_tab[283]
#define __pyx_n_u_zip __pyx_string_tab[284]
#define __pyx_kp_b_iso88591_A __pyx_string_tab[285]
#define __pyx_kp_b_iso88591_A_2S_4q_F __pyx_string_tab[286]
#define __pyx_kp_b_iso88591_A_4_T __pyx_string_tab[287]
#define __pyx_kp_b_iso88591_A_4_d_TTXX___TTXX___TTXX___TTXX __pyx_string_tab[288]
#define __pyx_kp_b_iso88591_A_4uE_T_d_gURVVZZffkkl __pyx_string_tab[289]
#define __pyx_kp_b_iso88591_A_9D_1_4_4q __pyx_string_tab[290]
#define __pyx_kp_b_iso88591_A_9HKq_AQ_d_a_4_D_t_T_7RWWX_xxq __pyx_string_tab[291]
#define __pyx_kp_b_iso88591_A_9HKq_AQ_t_A __pyx_string_tab[292]
#define __pyx_kp_b_iso88591_A_9_XT_QWW __pyx_string_tab[293]
#define __pyx_kp_b_iso88591_A_AQauCt5_O4vQ __pyx_string_tab[294]
#define __pyx_kp_b_iso88591_A_AT_e4t_MTQ_bbc __pyx_string_tab[295]
#define __pyx_kp_b_iso88591_A_A__M_q_RS_a_L_N_Q_O1_A_t7_Q_I __pyx_string_tab[296]
#define __pyx_kp_b_iso88591_A_Cq_q_E_aq_2_3a_4w_Qa __pyx_string_tab[297]
#define __pyx_kp_b_iso88591_A_D_t_QUUV_C7_eSYYZ_C_RVVcciij __pyx_string_tab[298]
#define __pyx_kp_b_iso88591_A_D_t_QUUV_C84uTZZ __pyx_string_tab[299]
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#define __pyx_kp_b_iso88591_q_c_4q_as_S_AS_AS_2V4_UV_4_Qi_A __pyx_string_tab[331]
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/* "../../../../../tmp/build-env-yjjfqvjd/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":286
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  /* "../../../../../tmp/build-env-yjjfqvjd/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":323
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 *         @property             # <<<<<<<<<<<<<<
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/* "../../../../../tmp/build-env-yjjfqvjd/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":328
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  /* "../../../../../tmp/build-env-yjjfqvjd/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":331
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/* "../../../../../tmp/build-env-yjjfqvjd/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":333
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  /* "../../../../../tmp/build-env-yjjfqvjd/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":333
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/* "../../../../../tmp/build-env-yjjfqvjd/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":338
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  /* "../../../../../tmp/build-env-yjjfqvjd/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":341
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  /* "../../../../../tmp/build-env-yjjfqvjd/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":338
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  /* function exit code */
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/* "../../../../../tmp/build-env-yjjfqvjd/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":343
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 * 
 *         @property             # <<<<<<<<<<<<<<
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static CYTHON_INLINE npy_intp *__pyx_f_5numpy_9broadcast_10dimensions_dimensions(PyArrayMultiIterObject *__pyx_v_self) {
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  /* "../../../../../tmp/build-env-yjjfqvjd/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":346
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  /* "../../../../../tmp/build-env-yjjfqvjd/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":343
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/* "../../../../../tmp/build-env-yjjfqvjd/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":348
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  /* "../../../../../tmp/build-env-yjjfqvjd/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":352
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/* "../../../../../tmp/build-env-yjjfqvjd/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":366
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  /* "../../../../../tmp/build-env-yjjfqvjd/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":382
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  /* "../../../../../tmp/build-env-yjjfqvjd/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":378
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/* "../../../../../tmp/build-env-yjjfqvjd/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":384
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  /* "../../../../../tmp/build-env-yjjfqvjd/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":390
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  /* "../../../../../tmp/build-env-yjjfqvjd/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":384
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/* "../../../../../tmp/build-env-yjjfqvjd/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":392
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  /* "../../../../../tmp/build-env-yjjfqvjd/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":397
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/* "../../../../../tmp/build-env-yjjfqvjd/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":399
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 *         @property             # <<<<<<<<<<<<<<
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static CYTHON_INLINE npy_intp __pyx_f_5numpy_7ndarray_4size_size(PyArrayObject *__pyx_v_self) {
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  /* "../../../../../tmp/build-env-yjjfqvjd/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":403
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  /* "../../../../../tmp/build-env-yjjfqvjd/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":399
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/* "../../../../../tmp/build-env-yjjfqvjd/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":405
 *             return PyArray_SIZE(self)
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static CYTHON_INLINE char *__pyx_f_5numpy_7ndarray_4data_data(PyArrayObject *__pyx_v_self) {
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  /* "../../../../../tmp/build-env-yjjfqvjd/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":412
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 * 
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  /* "../../../../../tmp/build-env-yjjfqvjd/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":405
 *             return PyArray_SIZE(self)
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 *         @property             # <<<<<<<<<<<<<<
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  struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop *p;
  PyObject *o = __pyx_tp_new_6pygsti_8evotypes_9densitymx_6opreps_OpRep(t, a, k);
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop *)o);
  p->base = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->basis = Py_None; Py_INCREF(Py_None);
  return o;
}

static void __pyx_tp_dealloc_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop(PyObject *o) {
  struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop *p = (struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(__Pyx_PyObject_GetSlot(o, tp_finalize, destructor)) && !__Pyx_PyObject_GC_IsFinalized(o)) {
    if (__Pyx_PyObject_GetSlot(o, tp_dealloc, destructor) == __pyx_tp_dealloc_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop) {
      if (PyObject_CallFinalizerFromDealloc(o)) return;
    }
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->base);
  Py_CLEAR(p->basis);
  PyObject_GC_Track(o);
  __pyx_tp_dealloc_6pygsti_8evotypes_9densitymx_6opreps_OpRep(o);
}

static int __pyx_tp_traverse_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop *p = (struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop *)o;
  e = __pyx_tp_traverse_6pygsti_8evotypes_9densitymx_6opreps_OpRep(o, v, a); if (e) return e;
  if (p->base) {
    e = (*v)(((PyObject *)p->base), a); if (e) return e;
  }
  if (p->basis) {
    e = (*v)(p->basis, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop *p = (struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop *)o;
  __pyx_tp_clear_6pygsti_8evotypes_9densitymx_6opreps_OpRep(o);
  tmp = ((PyObject*)p->base);
  p->base = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->basis);
  p->basis = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyObject *__pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseSuperop_base(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseSuperop_4base_1__get__(o);
}

static int __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseSuperop_base(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseSuperop_4base_3__set__(o, v);
  }
  else {
    return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseSuperop_4base_5__del__(o);
  }
}

static PyObject *__pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseSuperop_basis(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseSuperop_5basis_1__get__(o);
}

static int __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseSuperop_basis(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseSuperop_5basis_3__set__(o, v);
  }
  else {
    return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseSuperop_5basis_5__del__(o);
  }
}

static PyMethodDef __pyx_methods_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop[] = {
  {"base_has_changed", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseSuperop_3base_has_changed, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {"to_dense", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseSuperop_5to_dense, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {"to_dense_superop", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseSuperop_7to_dense_superop, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {"__reduce__", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseSuperop_9__reduce__, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {"__setstate__", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseSuperop_11__setstate__, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {"copy", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseSuperop_15copy, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop[] = {
  {"base", __pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseSuperop_base, __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseSuperop_base, 0, 0},
  {"basis", __pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseSuperop_basis, __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseSuperop_basis, 0, 0},
  {0, 0, 0, 0, 0}
};
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_type_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop_slots[] = {
  {Py_tp_dealloc, (void *)__pyx_tp_dealloc_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop},
  {Py_tp_str, (void *)__pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseSuperop_13__str__},
  {Py_tp_traverse, (void *)__pyx_tp_traverse_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop},
  {Py_tp_clear, (void *)__pyx_tp_clear_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop},
  {Py_tp_methods, (void *)__pyx_methods_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop},
  {Py_tp_getset, (void *)__pyx_getsets_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop},
  {Py_tp_init, (void *)__pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseSuperop_1__init__},
  {Py_tp_new, (void *)__pyx_tp_new_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop},
  {0, 0},
};
static PyType_Spec __pyx_type_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop_spec = {
  "pygsti.evotypes.densitymx.opreps.OpRepDenseSuperop",
  sizeof(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop),
  0,
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC,
  __pyx_type_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop_slots,
};
#else

static PyTypeObject __pyx_type_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop = {
  PyVarObject_HEAD_INIT(0, 0)
  "pygsti.evotypes.densitymx.opreps.""OpRepDenseSuperop", /*tp_name*/
  sizeof(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop, /*tp_dealloc*/
  0, /*tp_vectorcall_offset*/
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  0, /*tp_as_async*/
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseSuperop_13__str__, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop, /*tp_traverse*/
  __pyx_tp_clear_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  #if !CYTHON_USE_TYPE_SPECS
  0, /*tp_dictoffset*/
  #endif
  __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseSuperop_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseSuperop, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if CYTHON_USE_TP_FINALIZE
  0, /*tp_finalize*/
  #else
  NULL, /*tp_finalize*/
  #endif
  #if !CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800
  0, /*tp_vectorcall*/
  #endif
  #if __PYX_NEED_TP_PRINT_SLOT == 1
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030C0000
  0, /*tp_watched*/
  #endif
  #if PY_VERSION_HEX >= 0x030d00A4
  0, /*tp_versions_used*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
  0, /*tp_pypy_flags*/
  #endif
};
#endif

static PyObject *__pyx_tp_new_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseUnitary(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseUnitary *p;
  PyObject *o = __pyx_tp_new_6pygsti_8evotypes_9densitymx_6opreps_OpRep(t, a, k);
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseUnitary *)o);
  p->basis = Py_None; Py_INCREF(Py_None);
  p->base = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->superop_base = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  return o;
}

static void __pyx_tp_dealloc_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseUnitary(PyObject *o) {
  struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseUnitary *p = (struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseUnitary *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(__Pyx_PyObject_GetSlot(o, tp_finalize, destructor)) && !__Pyx_PyObject_GC_IsFinalized(o)) {
    if (__Pyx_PyObject_GetSlot(o, tp_dealloc, destructor) == __pyx_tp_dealloc_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseUnitary) {
      if (PyObject_CallFinalizerFromDealloc(o)) return;
    }
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->basis);
  Py_CLEAR(p->base);
  Py_CLEAR(p->superop_base);
  PyObject_GC_Track(o);
  __pyx_tp_dealloc_6pygsti_8evotypes_9densitymx_6opreps_OpRep(o);
}

static int __pyx_tp_traverse_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseUnitary(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseUnitary *p = (struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseUnitary *)o;
  e = __pyx_tp_traverse_6pygsti_8evotypes_9densitymx_6opreps_OpRep(o, v, a); if (e) return e;
  if (p->basis) {
    e = (*v)(p->basis, a); if (e) return e;
  }
  if (p->base) {
    e = (*v)(((PyObject *)p->base), a); if (e) return e;
  }
  if (p->superop_base) {
    e = (*v)(((PyObject *)p->superop_base), a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseUnitary(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseUnitary *p = (struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseUnitary *)o;
  __pyx_tp_clear_6pygsti_8evotypes_9densitymx_6opreps_OpRep(o);
  tmp = ((PyObject*)p->basis);
  p->basis = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->base);
  p->base = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->superop_base);
  p->superop_base = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyObject *__pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseUnitary_basis(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseUnitary_5basis_1__get__(o);
}

static int __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseUnitary_basis(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseUnitary_5basis_3__set__(o, v);
  }
  else {
    return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseUnitary_5basis_5__del__(o);
  }
}

static PyObject *__pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseUnitary_base(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseUnitary_4base_1__get__(o);
}

static int __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseUnitary_base(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseUnitary_4base_3__set__(o, v);
  }
  else {
    return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseUnitary_4base_5__del__(o);
  }
}

static PyObject *__pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseUnitary_superop_base(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseUnitary_12superop_base_1__get__(o);
}

static int __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseUnitary_superop_base(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseUnitary_12superop_base_3__set__(o, v);
  }
  else {
    return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseUnitary_12superop_base_5__del__(o);
  }
}

static PyMethodDef __pyx_methods_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseUnitary[] = {
  {"base_has_changed", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseUnitary_3base_has_changed, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {"to_dense", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseUnitary_5to_dense, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {"to_dense_superop", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseUnitary_7to_dense_superop, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {"__reduce__", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseUnitary_9__reduce__, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {"__setstate__", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseUnitary_11__setstate__, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {"copy", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseUnitary_15copy, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseUnitary[] = {
  {"basis", __pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseUnitary_basis, __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseUnitary_basis, 0, 0},
  {"base", __pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseUnitary_base, __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseUnitary_base, 0, 0},
  {"superop_base", __pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseUnitary_superop_base, __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseUnitary_superop_base, 0, 0},
  {0, 0, 0, 0, 0}
};
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_type_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseUnitary_slots[] = {
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  {Py_tp_str, (void *)__pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseUnitary_13__str__},
  {Py_tp_traverse, (void *)__pyx_tp_traverse_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseUnitary},
  {Py_tp_clear, (void *)__pyx_tp_clear_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseUnitary},
  {Py_tp_methods, (void *)__pyx_methods_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseUnitary},
  {Py_tp_getset, (void *)__pyx_getsets_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseUnitary},
  {Py_tp_init, (void *)__pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_17OpRepDenseUnitary_1__init__},
  {Py_tp_new, (void *)__pyx_tp_new_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseUnitary},
  {0, 0},
};
static PyType_Spec __pyx_type_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseUnitary_spec = {
  "pygsti.evotypes.densitymx.opreps.OpRepDenseUnitary",
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  0,
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC,
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};
#else

static PyTypeObject __pyx_type_6pygsti_8evotypes_9densitymx_6opreps_OpRepDenseUnitary = {
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static PyObject *__pyx_tp_new_6pygsti_8evotypes_9densitymx_6opreps_OpRepSparse(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepSparse *p;
  PyObject *o = __pyx_tp_new_6pygsti_8evotypes_9densitymx_6opreps_OpRep(t, a, k);
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepSparse *)o);
  p->data = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->indices = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->indptr = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  if (unlikely(__pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_11OpRepSparse_1__cinit__(o, a, k) < 0)) goto bad;
  return o;
  bad:
  Py_DECREF(o); o = 0;
  return NULL;
}

static void __pyx_tp_dealloc_6pygsti_8evotypes_9densitymx_6opreps_OpRepSparse(PyObject *o) {
  struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepSparse *p = (struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepSparse *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(__Pyx_PyObject_GetSlot(o, tp_finalize, destructor)) && !__Pyx_PyObject_GC_IsFinalized(o)) {
    if (__Pyx_PyObject_GetSlot(o, tp_dealloc, destructor) == __pyx_tp_dealloc_6pygsti_8evotypes_9densitymx_6opreps_OpRepSparse) {
      if (PyObject_CallFinalizerFromDealloc(o)) return;
    }
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->data);
  Py_CLEAR(p->indices);
  Py_CLEAR(p->indptr);
  PyObject_GC_Track(o);
  __pyx_tp_dealloc_6pygsti_8evotypes_9densitymx_6opreps_OpRep(o);
}

static int __pyx_tp_traverse_6pygsti_8evotypes_9densitymx_6opreps_OpRepSparse(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepSparse *p = (struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepSparse *)o;
  e = __pyx_tp_traverse_6pygsti_8evotypes_9densitymx_6opreps_OpRep(o, v, a); if (e) return e;
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    e = (*v)(((PyObject *)p->data), a); if (e) return e;
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}

static int __pyx_tp_clear_6pygsti_8evotypes_9densitymx_6opreps_OpRepSparse(PyObject *o) {
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  p->indices = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
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  tmp = ((PyObject*)p->indptr);
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  Py_XDECREF(tmp);
  return 0;
}

static PyObject *__pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_11OpRepSparse_data(PyObject *o, CYTHON_UNUSED void *x) {
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}

static int __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_11OpRepSparse_data(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
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  }
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  }
}

static PyObject *__pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_11OpRepSparse_indices(PyObject *o, CYTHON_UNUSED void *x) {
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}

static int __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_11OpRepSparse_indices(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
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  }
  else {
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  }
}

static PyObject *__pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_11OpRepSparse_indptr(PyObject *o, CYTHON_UNUSED void *x) {
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}

static int __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_11OpRepSparse_indptr(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
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  }
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  }
}

static PyMethodDef __pyx_methods_6pygsti_8evotypes_9densitymx_6opreps_OpRepSparse[] = {
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static struct PyGetSetDef __pyx_getsets_6pygsti_8evotypes_9densitymx_6opreps_OpRepSparse[] = {
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#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_type_6pygsti_8evotypes_9densitymx_6opreps_OpRepSparse_slots[] = {
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static PyType_Spec __pyx_type_6pygsti_8evotypes_9densitymx_6opreps_OpRepSparse_spec = {
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static PyObject *__pyx_tp_new_6pygsti_8evotypes_9densitymx_6opreps_OpRepStandard(PyTypeObject *t, PyObject *a, PyObject *k) {
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static void __pyx_tp_dealloc_6pygsti_8evotypes_9densitymx_6opreps_OpRepStandard(PyObject *o) {
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static int __pyx_tp_traverse_6pygsti_8evotypes_9densitymx_6opreps_OpRepStandard(PyObject *o, visitproc v, void *a) {
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}

static PyObject *__pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_13OpRepStandard_name(PyObject *o, CYTHON_UNUSED void *x) {
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static int __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_13OpRepStandard_name(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
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static PyMethodDef __pyx_methods_6pygsti_8evotypes_9densitymx_6opreps_OpRepStandard[] = {
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#else

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  __pyx_tp_new_6pygsti_8evotypes_9densitymx_6opreps_OpRepStandard, /*tp_new*/
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  0, /*tp_pypy_flags*/
  #endif
};
#endif

static PyObject *__pyx_tp_new_6pygsti_8evotypes_9densitymx_6opreps_OpRepKraus(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepKraus *p;
  PyObject *o = __pyx_tp_new_6pygsti_8evotypes_9densitymx_6opreps_OpRep(t, a, k);
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepKraus *)o);
  p->basis = Py_None; Py_INCREF(Py_None);
  p->kraus_reps = Py_None; Py_INCREF(Py_None);
  return o;
}

static void __pyx_tp_dealloc_6pygsti_8evotypes_9densitymx_6opreps_OpRepKraus(PyObject *o) {
  struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepKraus *p = (struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepKraus *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(__Pyx_PyObject_GetSlot(o, tp_finalize, destructor)) && !__Pyx_PyObject_GC_IsFinalized(o)) {
    if (__Pyx_PyObject_GetSlot(o, tp_dealloc, destructor) == __pyx_tp_dealloc_6pygsti_8evotypes_9densitymx_6opreps_OpRepKraus) {
      if (PyObject_CallFinalizerFromDealloc(o)) return;
    }
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->basis);
  Py_CLEAR(p->kraus_reps);
  PyObject_GC_Track(o);
  __pyx_tp_dealloc_6pygsti_8evotypes_9densitymx_6opreps_OpRep(o);
}

static int __pyx_tp_traverse_6pygsti_8evotypes_9densitymx_6opreps_OpRepKraus(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepKraus *p = (struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepKraus *)o;
  e = __pyx_tp_traverse_6pygsti_8evotypes_9densitymx_6opreps_OpRep(o, v, a); if (e) return e;
  if (p->basis) {
    e = (*v)(p->basis, a); if (e) return e;
  }
  if (p->kraus_reps) {
    e = (*v)(p->kraus_reps, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_6pygsti_8evotypes_9densitymx_6opreps_OpRepKraus(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepKraus *p = (struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepKraus *)o;
  __pyx_tp_clear_6pygsti_8evotypes_9densitymx_6opreps_OpRep(o);
  tmp = ((PyObject*)p->basis);
  p->basis = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->kraus_reps);
  p->kraus_reps = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyObject *__pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_10OpRepKraus_basis(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_10OpRepKraus_5basis_1__get__(o);
}

static int __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_10OpRepKraus_basis(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_10OpRepKraus_5basis_3__set__(o, v);
  }
  else {
    return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_10OpRepKraus_5basis_5__del__(o);
  }
}

static PyObject *__pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_10OpRepKraus_kraus_reps(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_10OpRepKraus_10kraus_reps_1__get__(o);
}

static int __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_10OpRepKraus_kraus_reps(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_10OpRepKraus_10kraus_reps_3__set__(o, v);
  }
  else {
    return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_10OpRepKraus_10kraus_reps_5__del__(o);
  }
}

static PyMethodDef __pyx_methods_6pygsti_8evotypes_9densitymx_6opreps_OpRepKraus[] = {
  {"__reduce__", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_10OpRepKraus_5__reduce__, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {"copy", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_10OpRepKraus_7copy, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {"to_dense", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_10OpRepKraus_9to_dense, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_6pygsti_8evotypes_9densitymx_6opreps_OpRepKraus[] = {
  {"basis", __pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_10OpRepKraus_basis, __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_10OpRepKraus_basis, 0, 0},
  {"kraus_reps", __pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_10OpRepKraus_kraus_reps, __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_10OpRepKraus_kraus_reps, 0, 0},
  {0, 0, 0, 0, 0}
};
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_type_6pygsti_8evotypes_9densitymx_6opreps_OpRepKraus_slots[] = {
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  {Py_tp_traverse, (void *)__pyx_tp_traverse_6pygsti_8evotypes_9densitymx_6opreps_OpRepKraus},
  {Py_tp_clear, (void *)__pyx_tp_clear_6pygsti_8evotypes_9densitymx_6opreps_OpRepKraus},
  {Py_tp_methods, (void *)__pyx_methods_6pygsti_8evotypes_9densitymx_6opreps_OpRepKraus},
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  {0, 0},
};
static PyType_Spec __pyx_type_6pygsti_8evotypes_9densitymx_6opreps_OpRepKraus_spec = {
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  0,
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC,
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};
#else

static PyTypeObject __pyx_type_6pygsti_8evotypes_9densitymx_6opreps_OpRepKraus = {
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  __pyx_tp_traverse_6pygsti_8evotypes_9densitymx_6opreps_OpRepKraus, /*tp_traverse*/
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static PyObject *__pyx_tp_new_6pygsti_8evotypes_9densitymx_6opreps_OpRepRandomUnitary(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepRandomUnitary *p;
  PyObject *o = __pyx_tp_new_6pygsti_8evotypes_9densitymx_6opreps_OpRep(t, a, k);
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepRandomUnitary *)o);
  p->basis = Py_None; Py_INCREF(Py_None);
  p->unitary_rates = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->unitary_reps = Py_None; Py_INCREF(Py_None);
  return o;
}

static void __pyx_tp_dealloc_6pygsti_8evotypes_9densitymx_6opreps_OpRepRandomUnitary(PyObject *o) {
  struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepRandomUnitary *p = (struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepRandomUnitary *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(__Pyx_PyObject_GetSlot(o, tp_finalize, destructor)) && !__Pyx_PyObject_GC_IsFinalized(o)) {
    if (__Pyx_PyObject_GetSlot(o, tp_dealloc, destructor) == __pyx_tp_dealloc_6pygsti_8evotypes_9densitymx_6opreps_OpRepRandomUnitary) {
      if (PyObject_CallFinalizerFromDealloc(o)) return;
    }
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->basis);
  Py_CLEAR(p->unitary_rates);
  Py_CLEAR(p->unitary_reps);
  PyObject_GC_Track(o);
  __pyx_tp_dealloc_6pygsti_8evotypes_9densitymx_6opreps_OpRep(o);
}

static int __pyx_tp_traverse_6pygsti_8evotypes_9densitymx_6opreps_OpRepRandomUnitary(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepRandomUnitary *p = (struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepRandomUnitary *)o;
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  if (p->basis) {
    e = (*v)(p->basis, a); if (e) return e;
  }
  if (p->unitary_rates) {
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  }
  if (p->unitary_reps) {
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  }
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}

static int __pyx_tp_clear_6pygsti_8evotypes_9densitymx_6opreps_OpRepRandomUnitary(PyObject *o) {
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  __pyx_tp_clear_6pygsti_8evotypes_9densitymx_6opreps_OpRep(o);
  tmp = ((PyObject*)p->basis);
  p->basis = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->unitary_rates);
  p->unitary_rates = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->unitary_reps);
  p->unitary_reps = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyObject *__pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_18OpRepRandomUnitary_basis(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_18OpRepRandomUnitary_5basis_1__get__(o);
}

static int __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_18OpRepRandomUnitary_basis(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
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  }
  else {
    return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_18OpRepRandomUnitary_5basis_5__del__(o);
  }
}

static PyObject *__pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_18OpRepRandomUnitary_unitary_rates(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_18OpRepRandomUnitary_13unitary_rates_1__get__(o);
}

static int __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_18OpRepRandomUnitary_unitary_rates(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_18OpRepRandomUnitary_13unitary_rates_3__set__(o, v);
  }
  else {
    return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_18OpRepRandomUnitary_13unitary_rates_5__del__(o);
  }
}

static PyObject *__pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_18OpRepRandomUnitary_unitary_reps(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_18OpRepRandomUnitary_12unitary_reps_1__get__(o);
}

static int __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_18OpRepRandomUnitary_unitary_reps(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_18OpRepRandomUnitary_12unitary_reps_3__set__(o, v);
  }
  else {
    return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_18OpRepRandomUnitary_12unitary_reps_5__del__(o);
  }
}

static PyMethodDef __pyx_methods_6pygsti_8evotypes_9densitymx_6opreps_OpRepRandomUnitary[] = {
  {"__reduce__", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_18OpRepRandomUnitary_3__reduce__, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {"copy", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_18OpRepRandomUnitary_7copy, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {"update_unitary_rates", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_18OpRepRandomUnitary_9update_unitary_rates, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {"to_dense", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_18OpRepRandomUnitary_11to_dense, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_6pygsti_8evotypes_9densitymx_6opreps_OpRepRandomUnitary[] = {
  {"basis", __pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_18OpRepRandomUnitary_basis, __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_18OpRepRandomUnitary_basis, 0, 0},
  {"unitary_rates", __pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_18OpRepRandomUnitary_unitary_rates, __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_18OpRepRandomUnitary_unitary_rates, 0, 0},
  {"unitary_reps", __pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_18OpRepRandomUnitary_unitary_reps, __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_18OpRepRandomUnitary_unitary_reps, 0, 0},
  {0, 0, 0, 0, 0}
};
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_type_6pygsti_8evotypes_9densitymx_6opreps_OpRepRandomUnitary_slots[] = {
  {Py_tp_dealloc, (void *)__pyx_tp_dealloc_6pygsti_8evotypes_9densitymx_6opreps_OpRepRandomUnitary},
  {Py_tp_str, (void *)__pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_18OpRepRandomUnitary_5__str__},
  {Py_tp_traverse, (void *)__pyx_tp_traverse_6pygsti_8evotypes_9densitymx_6opreps_OpRepRandomUnitary},
  {Py_tp_clear, (void *)__pyx_tp_clear_6pygsti_8evotypes_9densitymx_6opreps_OpRepRandomUnitary},
  {Py_tp_methods, (void *)__pyx_methods_6pygsti_8evotypes_9densitymx_6opreps_OpRepRandomUnitary},
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static PyType_Spec __pyx_type_6pygsti_8evotypes_9densitymx_6opreps_OpRepRandomUnitary_spec = {
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  __pyx_tp_traverse_6pygsti_8evotypes_9densitymx_6opreps_OpRepRandomUnitary, /*tp_traverse*/
  __pyx_tp_clear_6pygsti_8evotypes_9densitymx_6opreps_OpRepRandomUnitary, /*tp_clear*/
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};
#endif

static PyObject *__pyx_tp_new_6pygsti_8evotypes_9densitymx_6opreps_OpRepStochastic(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepStochastic *p;
  PyObject *o = __pyx_tp_new_6pygsti_8evotypes_9densitymx_6opreps_OpRepRandomUnitary(t, a, k);
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepStochastic *)o);
  p->stochastic_basis = Py_None; Py_INCREF(Py_None);
  p->stochastic_superops = Py_None; Py_INCREF(Py_None);
  p->rates = Py_None; Py_INCREF(Py_None);
  return o;
}

static void __pyx_tp_dealloc_6pygsti_8evotypes_9densitymx_6opreps_OpRepStochastic(PyObject *o) {
  struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepStochastic *p = (struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepStochastic *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(__Pyx_PyObject_GetSlot(o, tp_finalize, destructor)) && !__Pyx_PyObject_GC_IsFinalized(o)) {
    if (__Pyx_PyObject_GetSlot(o, tp_dealloc, destructor) == __pyx_tp_dealloc_6pygsti_8evotypes_9densitymx_6opreps_OpRepStochastic) {
      if (PyObject_CallFinalizerFromDealloc(o)) return;
    }
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->stochastic_basis);
  Py_CLEAR(p->stochastic_superops);
  Py_CLEAR(p->rates);
  PyObject_GC_Track(o);
  __pyx_tp_dealloc_6pygsti_8evotypes_9densitymx_6opreps_OpRepRandomUnitary(o);
}

static int __pyx_tp_traverse_6pygsti_8evotypes_9densitymx_6opreps_OpRepStochastic(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepStochastic *p = (struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepStochastic *)o;
  e = __pyx_tp_traverse_6pygsti_8evotypes_9densitymx_6opreps_OpRepRandomUnitary(o, v, a); if (e) return e;
  if (p->stochastic_basis) {
    e = (*v)(p->stochastic_basis, a); if (e) return e;
  }
  if (p->stochastic_superops) {
    e = (*v)(p->stochastic_superops, a); if (e) return e;
  }
  if (p->rates) {
    e = (*v)(p->rates, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_6pygsti_8evotypes_9densitymx_6opreps_OpRepStochastic(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepStochastic *p = (struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepStochastic *)o;
  __pyx_tp_clear_6pygsti_8evotypes_9densitymx_6opreps_OpRepRandomUnitary(o);
  tmp = ((PyObject*)p->stochastic_basis);
  p->stochastic_basis = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->stochastic_superops);
  p->stochastic_superops = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->rates);
  p->rates = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyObject *__pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_15OpRepStochastic_stochastic_basis(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_15OpRepStochastic_16stochastic_basis_1__get__(o);
}

static int __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_15OpRepStochastic_stochastic_basis(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_15OpRepStochastic_16stochastic_basis_3__set__(o, v);
  }
  else {
    return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_15OpRepStochastic_16stochastic_basis_5__del__(o);
  }
}

static PyObject *__pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_15OpRepStochastic_stochastic_superops(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_15OpRepStochastic_19stochastic_superops_1__get__(o);
}

static int __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_15OpRepStochastic_stochastic_superops(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_15OpRepStochastic_19stochastic_superops_3__set__(o, v);
  }
  else {
    return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_15OpRepStochastic_19stochastic_superops_5__del__(o);
  }
}

static PyObject *__pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_15OpRepStochastic_rates(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_15OpRepStochastic_5rates_1__get__(o);
}

static int __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_15OpRepStochastic_rates(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_15OpRepStochastic_5rates_3__set__(o, v);
  }
  else {
    return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_15OpRepStochastic_5rates_5__del__(o);
  }
}

static PyMethodDef __pyx_methods_6pygsti_8evotypes_9densitymx_6opreps_OpRepStochastic[] = {
  {"update_rates", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_15OpRepStochastic_3update_rates, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {"__reduce__", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_15OpRepStochastic_5__reduce__, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {"__setstate__", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_15OpRepStochastic_7__setstate__, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_6pygsti_8evotypes_9densitymx_6opreps_OpRepStochastic[] = {
  {"stochastic_basis", __pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_15OpRepStochastic_stochastic_basis, __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_15OpRepStochastic_stochastic_basis, 0, 0},
  {"stochastic_superops", __pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_15OpRepStochastic_stochastic_superops, __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_15OpRepStochastic_stochastic_superops, 0, 0},
  {"rates", __pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_15OpRepStochastic_rates, __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_15OpRepStochastic_rates, 0, 0},
  {0, 0, 0, 0, 0}
};
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_type_6pygsti_8evotypes_9densitymx_6opreps_OpRepStochastic_slots[] = {
  {Py_tp_dealloc, (void *)__pyx_tp_dealloc_6pygsti_8evotypes_9densitymx_6opreps_OpRepStochastic},
  {Py_tp_traverse, (void *)__pyx_tp_traverse_6pygsti_8evotypes_9densitymx_6opreps_OpRepStochastic},
  {Py_tp_clear, (void *)__pyx_tp_clear_6pygsti_8evotypes_9densitymx_6opreps_OpRepStochastic},
  {Py_tp_methods, (void *)__pyx_methods_6pygsti_8evotypes_9densitymx_6opreps_OpRepStochastic},
  {Py_tp_getset, (void *)__pyx_getsets_6pygsti_8evotypes_9densitymx_6opreps_OpRepStochastic},
  {Py_tp_init, (void *)__pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_15OpRepStochastic_1__init__},
  {Py_tp_new, (void *)__pyx_tp_new_6pygsti_8evotypes_9densitymx_6opreps_OpRepStochastic},
  {0, 0},
};
static PyType_Spec __pyx_type_6pygsti_8evotypes_9densitymx_6opreps_OpRepStochastic_spec = {
  "pygsti.evotypes.densitymx.opreps.OpRepStochastic",
  sizeof(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepStochastic),
  0,
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC,
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};
#else

static PyTypeObject __pyx_type_6pygsti_8evotypes_9densitymx_6opreps_OpRepStochastic = {
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  #else
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  __pyx_methods_6pygsti_8evotypes_9densitymx_6opreps_OpRepStochastic, /*tp_methods*/
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  #if !CYTHON_USE_TYPE_SPECS
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  0, /*tp_pypy_flags*/
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#endif

static PyObject *__pyx_tp_new_6pygsti_8evotypes_9densitymx_6opreps_OpRepComposed(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepComposed *p;
  PyObject *o = __pyx_tp_new_6pygsti_8evotypes_9densitymx_6opreps_OpRep(t, a, k);
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepComposed *)o);
  p->factor_reps = Py_None; Py_INCREF(Py_None);
  if (unlikely(__pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_13OpRepComposed_1__cinit__(o, a, k) < 0)) goto bad;
  return o;
  bad:
  Py_DECREF(o); o = 0;
  return NULL;
}

static void __pyx_tp_dealloc_6pygsti_8evotypes_9densitymx_6opreps_OpRepComposed(PyObject *o) {
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  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(__Pyx_PyObject_GetSlot(o, tp_finalize, destructor)) && !__Pyx_PyObject_GC_IsFinalized(o)) {
    if (__Pyx_PyObject_GetSlot(o, tp_dealloc, destructor) == __pyx_tp_dealloc_6pygsti_8evotypes_9densitymx_6opreps_OpRepComposed) {
      if (PyObject_CallFinalizerFromDealloc(o)) return;
    }
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->factor_reps);
  PyObject_GC_Track(o);
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}

static int __pyx_tp_traverse_6pygsti_8evotypes_9densitymx_6opreps_OpRepComposed(PyObject *o, visitproc v, void *a) {
  int e;
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  e = __pyx_tp_traverse_6pygsti_8evotypes_9densitymx_6opreps_OpRep(o, v, a); if (e) return e;
  if (p->factor_reps) {
    e = (*v)(p->factor_reps, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_6pygsti_8evotypes_9densitymx_6opreps_OpRepComposed(PyObject *o) {
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  __pyx_tp_clear_6pygsti_8evotypes_9densitymx_6opreps_OpRep(o);
  tmp = ((PyObject*)p->factor_reps);
  p->factor_reps = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyObject *__pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_13OpRepComposed_factor_reps(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_13OpRepComposed_11factor_reps_1__get__(o);
}

static int __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_13OpRepComposed_factor_reps(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_13OpRepComposed_11factor_reps_3__set__(o, v);
  }
  else {
    return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_13OpRepComposed_11factor_reps_5__del__(o);
  }
}

static PyMethodDef __pyx_methods_6pygsti_8evotypes_9densitymx_6opreps_OpRepComposed[] = {
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  {"reinit_factor_op_reps", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_13OpRepComposed_5reinit_factor_op_reps, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {"copy", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_13OpRepComposed_7copy, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_6pygsti_8evotypes_9densitymx_6opreps_OpRepComposed[] = {
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  {0, 0, 0, 0, 0}
};
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_type_6pygsti_8evotypes_9densitymx_6opreps_OpRepComposed_slots[] = {
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static PyObject *__pyx_tp_new_6pygsti_8evotypes_9densitymx_6opreps_OpRepSum(PyTypeObject *t, PyObject *a, PyObject *k) {
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}

static void __pyx_tp_dealloc_6pygsti_8evotypes_9densitymx_6opreps_OpRepSum(PyObject *o) {
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}

static int __pyx_tp_traverse_6pygsti_8evotypes_9densitymx_6opreps_OpRepSum(PyObject *o, visitproc v, void *a) {
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}

static int __pyx_tp_clear_6pygsti_8evotypes_9densitymx_6opreps_OpRepSum(PyObject *o) {
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}

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}

static int __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_8OpRepSum_factor_reps(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
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};
#if CYTHON_USE_TYPE_SPECS
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static PyType_Spec __pyx_type_6pygsti_8evotypes_9densitymx_6opreps_OpRepSum_spec = {
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static void __pyx_tp_dealloc_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl(PyObject *o) {
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static PyObject *__pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_num_basis_els(PyObject *o, CYTHON_UNUSED void *x) {
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}

static int __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_num_basis_els(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_13num_basis_els_3__set__(o, v);
  }
  else {
    return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_13num_basis_els_5__del__(o);
  }
}

static PyObject *__pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_action_inds(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_11action_inds_1__get__(o);
}

static int __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_action_inds(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_11action_inds_3__set__(o, v);
  }
  else {
    return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_11action_inds_5__del__(o);
  }
}

static PyObject *__pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_ncomponents_in_active_block(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_27ncomponents_in_active_block_1__get__(o);
}

static int __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_ncomponents_in_active_block(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_27ncomponents_in_active_block_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_active_block_index(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_18active_block_index_1__get__(o);
}

static int __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_active_block_index(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_18active_block_index_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_nblocks(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_7nblocks_1__get__(o);
}

static int __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_nblocks(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_7nblocks_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyMethodDef __pyx_methods_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl[] = {
  {"__reduce_cython__", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_3__reduce_cython__, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {"__setstate_cython__", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_5__setstate_cython__, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl[] = {
  {"noop_incrementers", __pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_noop_incrementers, __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_noop_incrementers, 0, 0},
  {"num_basis_els_noop_blankaction", __pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_num_basis_els_noop_blankaction, __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_num_basis_els_noop_blankaction, 0, 0},
  {"baseinds", __pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_baseinds, __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_baseinds, 0, 0},
  {"blocksizes", __pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_blocksizes, __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_blocksizes, 0, 0},
  {"num_basis_els", __pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_num_basis_els, __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_num_basis_els, 0, 0},
  {"action_inds", __pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_action_inds, __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_action_inds, 0, 0},
  {"ncomponents_in_active_block", __pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_ncomponents_in_active_block, __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_ncomponents_in_active_block, 0, 0},
  {"active_block_index", __pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_active_block_index, __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_active_block_index, 0, 0},
  {"nblocks", __pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_nblocks, __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_22EmbeddingArraysCacheEl_nblocks, 0, 0},
  {0, 0, 0, 0, 0}
};
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_type_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl_slots[] = {
  {Py_tp_dealloc, (void *)__pyx_tp_dealloc_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl},
  {Py_tp_traverse, (void *)__pyx_tp_traverse_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl},
  {Py_tp_clear, (void *)__pyx_tp_clear_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl},
  {Py_tp_methods, (void *)__pyx_methods_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl},
  {Py_tp_getset, (void *)__pyx_getsets_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl},
  {Py_tp_new, (void *)__pyx_tp_new_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl},
  {0, 0},
};
static PyType_Spec __pyx_type_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl_spec = {
  "pygsti.evotypes.densitymx.opreps.EmbeddingArraysCacheEl",
  sizeof(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl),
  0,
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};
#else

static PyTypeObject __pyx_type_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl = {
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  sizeof(struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl, /*tp_dealloc*/
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  0, /*tp_doc*/
  __pyx_tp_traverse_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl, /*tp_traverse*/
  __pyx_tp_clear_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl, /*tp_clear*/
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  0, /*tp_iternext*/
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  0, /*tp_members*/
  __pyx_getsets_6pygsti_8evotypes_9densitymx_6opreps_EmbeddingArraysCacheEl, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
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  0, /*tp_cache*/
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  #if CYTHON_USE_TP_FINALIZE
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  0, /*tp_pypy_flags*/
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};
#endif

static PyObject *__pyx_tp_new_6pygsti_8evotypes_9densitymx_6opreps_OpRepEmbedded(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepEmbedded *p;
  PyObject *o = __pyx_tp_new_6pygsti_8evotypes_9densitymx_6opreps_OpRep(t, a, k);
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepEmbedded *)o);
  p->noop_incrementers = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->num_basis_els_noop_blankaction = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->baseinds = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->blocksizes = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->num_basis_els = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->action_inds = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->embedded_rep = ((struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRep *)Py_None); Py_INCREF(Py_None);
  return o;
}

static void __pyx_tp_dealloc_6pygsti_8evotypes_9densitymx_6opreps_OpRepEmbedded(PyObject *o) {
  struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepEmbedded *p = (struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepEmbedded *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(__Pyx_PyObject_GetSlot(o, tp_finalize, destructor)) && !__Pyx_PyObject_GC_IsFinalized(o)) {
    if (__Pyx_PyObject_GetSlot(o, tp_dealloc, destructor) == __pyx_tp_dealloc_6pygsti_8evotypes_9densitymx_6opreps_OpRepEmbedded) {
      if (PyObject_CallFinalizerFromDealloc(o)) return;
    }
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->noop_incrementers);
  Py_CLEAR(p->num_basis_els_noop_blankaction);
  Py_CLEAR(p->baseinds);
  Py_CLEAR(p->blocksizes);
  Py_CLEAR(p->num_basis_els);
  Py_CLEAR(p->action_inds);
  Py_CLEAR(p->embedded_rep);
  PyObject_GC_Track(o);
  __pyx_tp_dealloc_6pygsti_8evotypes_9densitymx_6opreps_OpRep(o);
}

static int __pyx_tp_traverse_6pygsti_8evotypes_9densitymx_6opreps_OpRepEmbedded(PyObject *o, visitproc v, void *a) {
  int e;
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  }
  if (p->num_basis_els_noop_blankaction) {
    e = (*v)(((PyObject *)p->num_basis_els_noop_blankaction), a); if (e) return e;
  }
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    e = (*v)(((PyObject *)p->baseinds), a); if (e) return e;
  }
  if (p->blocksizes) {
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  }
  if (p->num_basis_els) {
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  }
  if (p->action_inds) {
    e = (*v)(((PyObject *)p->action_inds), a); if (e) return e;
  }
  if (p->embedded_rep) {
    e = (*v)(((PyObject *)p->embedded_rep), a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_6pygsti_8evotypes_9densitymx_6opreps_OpRepEmbedded(PyObject *o) {
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  tmp = ((PyObject*)p->noop_incrementers);
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  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->num_basis_els_noop_blankaction);
  p->num_basis_els_noop_blankaction = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->baseinds);
  p->baseinds = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
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  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->num_basis_els);
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  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->action_inds);
  p->action_inds = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->embedded_rep);
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  Py_XDECREF(tmp);
  return 0;
}

static PyObject *__pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_13OpRepEmbedded_embedded_rep(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_13OpRepEmbedded_12embedded_rep_1__get__(o);
}

static int __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_13OpRepEmbedded_embedded_rep(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
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  }
  else {
    return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_13OpRepEmbedded_12embedded_rep_5__del__(o);
  }
}

static PyMethodDef __pyx_methods_6pygsti_8evotypes_9densitymx_6opreps_OpRepEmbedded[] = {
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  {"__setstate__", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_13OpRepEmbedded_5__setstate__, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {"copy", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_13OpRepEmbedded_7copy, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_6pygsti_8evotypes_9densitymx_6opreps_OpRepEmbedded[] = {
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};
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_type_6pygsti_8evotypes_9densitymx_6opreps_OpRepEmbedded_slots[] = {
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};
static PyType_Spec __pyx_type_6pygsti_8evotypes_9densitymx_6opreps_OpRepEmbedded_spec = {
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};
#else

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  __pyx_tp_new_6pygsti_8evotypes_9densitymx_6opreps_OpRepEmbedded, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
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  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if CYTHON_USE_TP_FINALIZE
  0, /*tp_finalize*/
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  #if !CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800
  0, /*tp_vectorcall*/
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  0, /*tp_print*/
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  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
  0, /*tp_pypy_flags*/
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};
#endif

static PyObject *__pyx_tp_new_6pygsti_8evotypes_9densitymx_6opreps_OpRepExpErrorgen(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepExpErrorgen *p;
  PyObject *o = __pyx_tp_new_6pygsti_8evotypes_9densitymx_6opreps_OpRep(t, a, k);
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepExpErrorgen *)o);
  p->errorgen_rep = Py_None; Py_INCREF(Py_None);
  return o;
}

static void __pyx_tp_dealloc_6pygsti_8evotypes_9densitymx_6opreps_OpRepExpErrorgen(PyObject *o) {
  struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepExpErrorgen *p = (struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepExpErrorgen *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(__Pyx_PyObject_GetSlot(o, tp_finalize, destructor)) && !__Pyx_PyObject_GC_IsFinalized(o)) {
    if (__Pyx_PyObject_GetSlot(o, tp_dealloc, destructor) == __pyx_tp_dealloc_6pygsti_8evotypes_9densitymx_6opreps_OpRepExpErrorgen) {
      if (PyObject_CallFinalizerFromDealloc(o)) return;
    }
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->errorgen_rep);
  PyObject_GC_Track(o);
  __pyx_tp_dealloc_6pygsti_8evotypes_9densitymx_6opreps_OpRep(o);
}

static int __pyx_tp_traverse_6pygsti_8evotypes_9densitymx_6opreps_OpRepExpErrorgen(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepExpErrorgen *p = (struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepExpErrorgen *)o;
  e = __pyx_tp_traverse_6pygsti_8evotypes_9densitymx_6opreps_OpRep(o, v, a); if (e) return e;
  if (p->errorgen_rep) {
    e = (*v)(p->errorgen_rep, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_6pygsti_8evotypes_9densitymx_6opreps_OpRepExpErrorgen(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepExpErrorgen *p = (struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepExpErrorgen *)o;
  __pyx_tp_clear_6pygsti_8evotypes_9densitymx_6opreps_OpRep(o);
  tmp = ((PyObject*)p->errorgen_rep);
  p->errorgen_rep = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyObject *__pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_16OpRepExpErrorgen_errorgen_rep(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_16OpRepExpErrorgen_12errorgen_rep_1__get__(o);
}

static int __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_16OpRepExpErrorgen_errorgen_rep(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
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  }
  else {
    return __pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_16OpRepExpErrorgen_12errorgen_rep_5__del__(o);
  }
}

static PyMethodDef __pyx_methods_6pygsti_8evotypes_9densitymx_6opreps_OpRepExpErrorgen[] = {
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  {"set_exp_params", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_16OpRepExpErrorgen_5set_exp_params, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {"exp_params", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_16OpRepExpErrorgen_7exp_params, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {"__reduce__", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_6pygsti_8evotypes_9densitymx_6opreps_16OpRepExpErrorgen_9__reduce__, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
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  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_6pygsti_8evotypes_9densitymx_6opreps_OpRepExpErrorgen[] = {
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};
#if CYTHON_USE_TYPE_SPECS
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static PyType_Spec __pyx_type_6pygsti_8evotypes_9densitymx_6opreps_OpRepExpErrorgen_spec = {
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static PyObject *__pyx_tp_new_6pygsti_8evotypes_9densitymx_6opreps_OpRepRepeated(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepRepeated *p;
  PyObject *o = __pyx_tp_new_6pygsti_8evotypes_9densitymx_6opreps_OpRep(t, a, k);
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  p = ((struct __pyx_obj_6pygsti_8evotypes_9densitymx_6opreps_OpRepRepeated *)o);
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}

static void __pyx_tp_dealloc_6pygsti_8evotypes_9densitymx_6opreps_OpRepRepeated(PyObject *o) {
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  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(__Pyx_PyObject_GetSlot(o, tp_finalize, destructor)) && !__Pyx_PyObject_GC_IsFinalized(o)) {
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    }
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  #endif
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}

static int __pyx_tp_traverse_6pygsti_8evotypes_9densitymx_6opreps_OpRepRepeated(PyObject *o, visitproc v, void *a) {
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  }
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}

static int __pyx_tp_clear_6pygsti_8evotypes_9densitymx_6opreps_OpRepRepeated(PyObject *o) {
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  return 0;
}

static PyObject *__pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_13OpRepRepeated_repeated_rep(PyObject *o, CYTHON_UNUSED void *x) {
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}

static int __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_13OpRepRepeated_repeated_rep(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
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static PyObject *__pyx_getprop_6pygsti_8evotypes_9densitymx_6opreps_13OpRepRepeated_num_repetitions(PyObject *o, CYTHON_UNUSED void *x) {
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}

static int __pyx_setprop_6pygsti_8evotypes_9densitymx_6opreps_13OpRepRepeated_num_repetitions(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
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static PyMethodDef __pyx_methods_6pygsti_8evotypes_9densitymx_6opreps_OpRepRepeated[] = {
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#if CYTHON_USE_TYPE_SPECS
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    PyObject *data = NULL;
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    #endif
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    for (int i = 0; i < 285; i++) {
      Py_ssize_t bytes_length = index[i].length;
      PyObject *string = PyUnicode_DecodeUTF8(bytes + pos, bytes_length, NULL);
      if (likely(string) && i >= 28) PyUnicode_InternInPlace(&string);
      if (unlikely(!string)) {
        Py_XDECREF(data);
        __PYX_ERR(0, 1, __pyx_L1_error)
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      stringtab[i] = string;
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    for (int i = 285; i < 333; i++) {
      Py_ssize_t bytes_length = index[i].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 < 333; i++) {
      if (unlikely(PyObject_Hash(stringtab[i]) == -1)) {
        __PYX_ERR(0, 1, __pyx_L1_error)
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    #if CYTHON_IMMORTAL_CONSTANTS
    {
      PyObject **table = stringtab + 285;
      for (Py_ssize_t i=0; i<48; ++i) {
        #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
        Py_SET_REFCNT(table[i], _Py_IMMORTAL_REFCNT_LOCAL);
        #else
        Py_SET_REFCNT(table[i], _Py_IMMORTAL_INITIAL_REFCNT);
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  {
    PyObject **numbertab = __pyx_mstate->__pyx_number_tab + 0;
    int8_t const cint_constants_1[] = {0,1,2};
    for (int i = 0; i < 3; i++) {
      numbertab[i] = PyLong_FromLong(cint_constants_1[i - 0]);
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  #if CYTHON_IMMORTAL_CONSTANTS
  {
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    for (Py_ssize_t i=0; i<3; ++i) {
      #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
      Py_SET_REFCNT(table[i], _Py_IMMORTAL_REFCNT_LOCAL);
      #else
      Py_SET_REFCNT(table[i], _Py_IMMORTAL_INITIAL_REFCNT);
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/* #### Code section: init_codeobjects ### */
typedef struct {
    unsigned int argcount : 3;
    unsigned int num_posonly_args : 1;
    unsigned int num_kwonly_args : 1;
    unsigned int nlocals : 6;
    unsigned int flags : 10;
    unsigned int first_line : 10;
} __Pyx_PyCode_New_function_description;
/* 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 = {1, 0, 0, 2, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 63};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_v, __pyx_mstate->__pyx_n_u_in_state};
    __pyx_mstate_global->__pyx_codeobj_tab[0] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_mv, __pyx_mstate->__pyx_kp_b_iso88591_q_c_4q_as_S_AS_AS_2V4_UV_4vQi_9, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[0])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 2, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 67};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_v, __pyx_mstate->__pyx_n_u_in_state};
    __pyx_mstate_global->__pyx_codeobj_tab[1] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_rmv, __pyx_mstate->__pyx_kp_b_iso88591_q_c_4q_as_S_AS_AS_2V4_UV_4_Qi_A, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[1])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 34};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self};
    __pyx_mstate_global->__pyx_codeobj_tab[2] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_reduce, __pyx_mstate->__pyx_kp_b_iso88591_A_q, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[2])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 37};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self};
    __pyx_mstate_global->__pyx_codeobj_tab[3] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_pygsti_reduce, __pyx_mstate->__pyx_kp_b_iso88591_A_t_a, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[3])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 3, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 48};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_state, __pyx_mstate->__pyx_n_u_out_state};
    __pyx_mstate_global->__pyx_codeobj_tab[4] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_acton, __pyx_mstate->__pyx_kp_b_iso88591_A_q_6_fG6QWW_iij_F_j_q, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[4])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 3, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 55};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_state, __pyx_mstate->__pyx_n_u_out_state};
    __pyx_mstate_global->__pyx_codeobj_tab[5] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_adjoint_acton, __pyx_mstate->__pyx_kp_b_iso88591_A_q_6_fG6QWW_iij_F_j_q_2, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[5])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 6, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 62};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_mv, __pyx_mstate->__pyx_n_u_mv, __pyx_mstate->__pyx_n_u_rmv, __pyx_mstate->__pyx_n_u_rmv, __pyx_mstate->__pyx_n_u_dim};
    __pyx_mstate_global->__pyx_codeobj_tab[6] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_aslinearoperator, __pyx_mstate->__pyx_kp_b_iso88591_A_d_D_gT_fA, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[6])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 92};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self};
    __pyx_mstate_global->__pyx_codeobj_tab[7] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_base_has_changed, __pyx_mstate->__pyx_kp_b_iso88591_A, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[7])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 2, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 95};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_on_space};
    __pyx_mstate_global->__pyx_codeobj_tab[8] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_to_dense, __pyx_mstate->__pyx_kp_b_iso88591_A_9HKq_AQ_t_A, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[8])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 100};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self};
    __pyx_mstate_global->__pyx_codeobj_tab[9] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_to_dense_superop, __pyx_mstate->__pyx_kp_b_iso88591_A_t1, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[9])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 103};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self};
    __pyx_mstate_global->__pyx_codeobj_tab[10] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_reduce, __pyx_mstate->__pyx_kp_b_iso88591_A_D_t_QUUV_C84uTZZ, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[10])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 6, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 109};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_state, __pyx_mstate->__pyx_n_u_state_space, __pyx_mstate->__pyx_n_u_data, __pyx_mstate->__pyx_n_u_basis, __pyx_mstate->__pyx_n_u_writable};
    __pyx_mstate_global->__pyx_codeobj_tab[11] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_setstate, __pyx_mstate->__pyx_kp_b_iso88591_A_V7_Q_O1_IQ_HCxq_E_a_E_A_t7_Q_I, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[11])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 132};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self};
    __pyx_mstate_global->__pyx_codeobj_tab[12] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_copy, __pyx_mstate->__pyx_kp_b_iso88591_A_U_t4xt1, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[12])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 156};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self};
    __pyx_mstate_global->__pyx_codeobj_tab[13] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_base_has_changed, __pyx_mstate->__pyx_kp_b_iso88591_A_M_8_WD, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[13])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 2, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 159};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_on_space};
    __pyx_mstate_global->__pyx_codeobj_tab[14] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_to_dense, __pyx_mstate->__pyx_kp_b_iso88591_A_9D_1_4_4q, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[14])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 165};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self};
    __pyx_mstate_global->__pyx_codeobj_tab[15] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_to_dense_superop, __pyx_mstate->__pyx_kp_b_iso88591_A_t1, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[15])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 168};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self};
    __pyx_mstate_global->__pyx_codeobj_tab[16] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_reduce, __pyx_mstate->__pyx_kp_b_iso88591_A_D_t_QUUV_C7_eSYYZ_C_RVVcciij, 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 = {2, 0, 0, 8, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 175};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_state, __pyx_mstate->__pyx_n_u_state_space, __pyx_mstate->__pyx_n_u_basis, __pyx_mstate->__pyx_n_u_data, __pyx_mstate->__pyx_n_u_writable, __pyx_mstate->__pyx_n_u_superop_data, __pyx_mstate->__pyx_n_u_superop_writable};
    __pyx_mstate_global->__pyx_codeobj_tab[17] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_setstate, __pyx_mstate->__pyx_kp_b_iso88591_A_WF_N_MQ_O1_IQ_HCxq_E_a_E_A_Cxq, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[17])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 192};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self};
    __pyx_mstate_global->__pyx_codeobj_tab[18] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_copy, __pyx_mstate->__pyx_kp_b_iso88591_A_U_t4xt1, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[18])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 217};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self};
    __pyx_mstate_global->__pyx_codeobj_tab[19] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_reduce, __pyx_mstate->__pyx_kp_b_iso88591_A_d_Zt9D, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[19])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 4, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 220};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_on_space, __pyx_mstate->__pyx_n_u_dim, __pyx_mstate->__pyx_n_u_sparsemx};
    __pyx_mstate_global->__pyx_codeobj_tab[20] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_to_dense, __pyx_mstate->__pyx_kp_b_iso88591_A_9HKq_AQ_d_a_4_D_t_T_7RWWX_xxq, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[20])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 228};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self};
    __pyx_mstate_global->__pyx_codeobj_tab[21] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_copy, __pyx_mstate->__pyx_kp_b_iso88591_A_4uE_T_d_gURVVZZffkkl, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[21])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 248};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self};
    __pyx_mstate_global->__pyx_codeobj_tab[22] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_reduce, __pyx_mstate->__pyx_kp_b_iso88591_A_G4xt1, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[22])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 2, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 251};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_state};
    __pyx_mstate_global->__pyx_codeobj_tab[23] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_setstate, __pyx_mstate->__pyx_kp_b_iso88591_A, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[23])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 274};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self};
    __pyx_mstate_global->__pyx_codeobj_tab[24] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_reduce, __pyx_mstate->__pyx_kp_b_iso88591_A_T_a, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[24])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 2, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 277};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_k};
    __pyx_mstate_global->__pyx_codeobj_tab[25] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_copy, __pyx_mstate->__pyx_kp_b_iso88591_A_z_haq_S_E_4q, 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 = {2, 0, 0, 3, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 280};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_on_space, __pyx_mstate->__pyx_n_u_rep};
    __pyx_mstate_global->__pyx_codeobj_tab[26] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_to_dense, __pyx_mstate->__pyx_kp_b_iso88591_A_y_Kq_s_1Cy_4wd, 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 = {1, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 305};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self};
    __pyx_mstate_global->__pyx_codeobj_tab[27] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_reduce, __pyx_mstate->__pyx_kp_b_iso88591_A_T_5ET_X_bbc, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[27])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 2, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 311};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_u};
    __pyx_mstate_global->__pyx_codeobj_tab[28] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_copy, __pyx_mstate->__pyx_kp_b_iso88591_A_hd_Q_1E_D_T9I_tST, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[28])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 2, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 315};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_rates};
    __pyx_mstate_global->__pyx_codeobj_tab[29] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_update_unitary_rates, __pyx_mstate->__pyx_kp_b_iso88591_A_N, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[29])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 4, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 318};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_on_space, __pyx_mstate->__pyx_n_u_rate, __pyx_mstate->__pyx_n_u_rep};
    __pyx_mstate_global->__pyx_codeobj_tab[30] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_to_dense, __pyx_mstate->__pyx_kp_b_iso88591_A_y_Kq_s_1E_3iq_fG3atK, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[30])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 3, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 432};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_rates, __pyx_mstate->__pyx_n_u_unitary_rates};
    __pyx_mstate_global->__pyx_codeobj_tab[31] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_update_rates, __pyx_mstate->__pyx_kp_b_iso88591_A_2S_4q_F, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[31])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 443};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self};
    __pyx_mstate_global->__pyx_codeobj_tab[32] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_reduce, __pyx_mstate->__pyx_kp_b_iso88591_A_9_XT_QWW, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[32])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 2, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 446};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_state};
    __pyx_mstate_global->__pyx_codeobj_tab[33] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_setstate, __pyx_mstate->__pyx_kp_b_iso88591_A, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[33])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 463};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self};
    __pyx_mstate_global->__pyx_codeobj_tab[34] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_reduce, __pyx_mstate->__pyx_kp_b_iso88591_A_N_a, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[34])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 5, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 466};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_new_factor_op_reps, __pyx_mstate->__pyx_n_u_i, __pyx_mstate->__pyx_n_u_nfactors, __pyx_mstate->__pyx_n_u_creps};
    __pyx_mstate_global->__pyx_codeobj_tab[35] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_reinit_factor_op_reps, __pyx_mstate->__pyx_kp_b_iso88591_A_Cq_q_E_aq_2_3a_4w_Qa, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[35])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 2, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 474};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_f};
    __pyx_mstate_global->__pyx_codeobj_tab[36] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_copy, __pyx_mstate->__pyx_kp_b_iso88591_A_AQauCt5_O4vQ, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[36])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 491};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self};
    __pyx_mstate_global->__pyx_codeobj_tab[37] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_reduce, __pyx_mstate->__pyx_kp_b_iso88591_A_4_T, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[37])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 2, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 494};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_f};
    __pyx_mstate_global->__pyx_codeobj_tab[38] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_copy, __pyx_mstate->__pyx_kp_b_iso88591_A_xq_s_e4_d, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[38])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 1};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self};
    __pyx_mstate_global->__pyx_codeobj_tab[39] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_stringsource, __pyx_mstate->__pyx_n_u_reduce_cython, __pyx_mstate->__pyx_kp_b_iso88591_Q, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[39])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 2, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 3};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_pyx_state};
    __pyx_mstate_global->__pyx_codeobj_tab[40] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_stringsource, __pyx_mstate->__pyx_n_u_setstate_cython, __pyx_mstate->__pyx_kp_b_iso88591_Q, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[40])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 35, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 525};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_state_space, __pyx_mstate->__pyx_n_u_target_labels, __pyx_mstate->__pyx_n_u_embedded_rep_dim, __pyx_mstate->__pyx_n_u_iTensorProdBlks, __pyx_mstate->__pyx_n_u_iTensorProdBlk, __pyx_mstate->__pyx_n_u_tensorProdBlkLabels, __pyx_mstate->__pyx_n_u_num_basis_els, __pyx_mstate->__pyx_n_u_labelIndices, __pyx_mstate->__pyx_n_u_action_inds, __pyx_mstate->__pyx_n_u_dim, __pyx_mstate->__pyx_n_u_nblocks, __pyx_mstate->__pyx_n_u_active_block_index, __pyx_mstate->__pyx_n_u_ncomponents_in_active_block, __pyx_mstate->__pyx_n_u_embedded_dim, __pyx_mstate->__pyx_n_u_blocksizes, __pyx_mstate->__pyx_n_u_i, __pyx_mstate->__pyx_n_u_j, __pyx_mstate->__pyx_n_u_num_basis_els_noop_blankaction, __pyx_mstate->__pyx_n_u_tmp, __pyx_mstate->__pyx_n_u_multipliers, __pyx_mstate->__pyx_n_u_dec, __pyx_mstate->__pyx_n_u_noop_incrementers, __pyx_mstate->__pyx_n_u_vec_index, __pyx_mstate->__pyx_n_u_offset, __pyx_mstate->__pyx_n_u_baseinds, __pyx_mstate->__pyx_n_u_basisInds_action, __pyx_mstate->__pyx_n_u_ii, __pyx_mstate->__pyx_n_u_op_b, __pyx_mstate->__pyx_n_u_bInd, __pyx_mstate->__pyx_n_u_label, __pyx_mstate->__pyx_n_u_l, __pyx_mstate->__pyx_n_u_label, __pyx_mstate->__pyx_n_u_i, __pyx_mstate->__pyx_n_u_k, __pyx_mstate->__pyx_n_u_i};
    __pyx_mstate_global->__pyx_codeobj_tab[41] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_compute_embedding_quantities_ca, __pyx_mstate->__pyx_kp_b_iso88591_a_C1G4yXY_s_3a_A_j__AQ_A_6_as_e, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[41])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {3, 0, 0, 4, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 599};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_state_space, __pyx_mstate->__pyx_n_u_target_labels, __pyx_mstate->__pyx_n_u_embedded_rep_dim, __pyx_mstate->__pyx_n_u_cache_key};
    __pyx_mstate_global->__pyx_codeobj_tab[42] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_compute_embedding_quantities, __pyx_mstate->__pyx_kp_b_iso88591_a_z_1M1WWXXeefXY_aq, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[42])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 2, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 639};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_state};
    __pyx_mstate_global->__pyx_codeobj_tab[43] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_reduce, __pyx_mstate->__pyx_kp_b_iso88591_A_NdRS_6d_A_D_q_D_q_D_q_D_q_Q_N, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[43])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 14, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 650};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_state, __pyx_mstate->__pyx_n_u_noop_incrementers, __pyx_mstate->__pyx_n_u_num_basis_els_noop_blankaction, __pyx_mstate->__pyx_n_u_baseinds, __pyx_mstate->__pyx_n_u_blocksizes, __pyx_mstate->__pyx_n_u_num_basis_els, __pyx_mstate->__pyx_n_u_action_inds, __pyx_mstate->__pyx_n_u_embedded_rep, __pyx_mstate->__pyx_n_u_embedded_dim, __pyx_mstate->__pyx_n_u_ncomponents_in_active_block, __pyx_mstate->__pyx_n_u_active_block_index, __pyx_mstate->__pyx_n_u_nblocks, __pyx_mstate->__pyx_n_u_state_space};
    __pyx_mstate_global->__pyx_codeobj_tab[44] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_setstate, __pyx_mstate->__pyx_kp_b_iso88591_A_A__M_q_RS_a_L_N_Q_O1_A_t7_Q_I, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[44])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 671};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self};
    __pyx_mstate_global->__pyx_codeobj_tab[45] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_copy, __pyx_mstate->__pyx_kp_b_iso88591_A_uIQa, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[45])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 6, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 691};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_onenorm_upperbound, __pyx_mstate->__pyx_n_u_mu, __pyx_mstate->__pyx_n_u_m_star, __pyx_mstate->__pyx_n_u_s, __pyx_mstate->__pyx_n_u_eta};
    __pyx_mstate_global->__pyx_codeobj_tab[46] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_errgenrep_has_changed, __pyx_mstate->__pyx_kp_b_iso88591_A_HCvS_4A_a_Q_O1D_XQ, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[46])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {5, 0, 0, 5, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 698};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_mu, __pyx_mstate->__pyx_n_u_eta, __pyx_mstate->__pyx_n_u_m_star, __pyx_mstate->__pyx_n_u_s};
    __pyx_mstate_global->__pyx_codeobj_tab[47] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_set_exp_params, __pyx_mstate->__pyx_kp_b_iso88591_A_d_d_d_A_d_q, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[47])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 704};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self};
    __pyx_mstate_global->__pyx_codeobj_tab[48] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_exp_params, __pyx_mstate->__pyx_kp_b_iso88591_A_t7_t7_t7_t7, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[48])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 710};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self};
    __pyx_mstate_global->__pyx_codeobj_tab[49] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_reduce, __pyx_mstate->__pyx_kp_b_iso88591_A_4_d_TTXX___TTXX___TTXX___TTXX, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[49])) goto bad;
  }
  {
    const __Pyx_PyCode_New_function_description descr = {2, 0, 0, 8, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 717};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self, __pyx_mstate->__pyx_n_u_state, __pyx_mstate->__pyx_n_u_errorgen_rep, __pyx_mstate->__pyx_n_u_mu, __pyx_mstate->__pyx_n_u_eta, __pyx_mstate->__pyx_n_u_m_star, __pyx_mstate->__pyx_n_u_s, __pyx_mstate->__pyx_n_u_dim};
    __pyx_mstate_global->__pyx_codeobj_tab[50] = __Pyx_PyCode_New(descr, varnames, __pyx_mstate->__pyx_kp_u_pygsti_evotypes_densitymx_opreps_2, __pyx_mstate->__pyx_n_u_setstate, __pyx_mstate->__pyx_kp_b_iso88591_A_d_xt1_l_A_t7_Q_I_2X_0_XS_O_q, tuple_dedup_map); if (unlikely(!__pyx_mstate_global->__pyx_codeobj_tab[50])) goto bad;
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  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 726};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self};
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  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 759};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self};
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  {
    const __Pyx_PyCode_New_function_description descr = {1, 0, 0, 1, (unsigned int)(CO_OPTIMIZED|CO_NEWLOCALS), 762};
    PyObject* const varnames[] = {__pyx_mstate->__pyx_n_u_self};
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  if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1, __pyx_L1_error)

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

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  if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 1, __pyx_L1_error)

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#pragma warning( push )
/* Warning 4127: conditional expression is constant
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static __Pyx_RefNannyAPIStruct *__Pyx_RefNannyImportAPI(const char *modname) {
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/* PyErrExceptionMatches (used by PyObjectGetAttrStrNoError) */
#if CYTHON_FAST_THREAD_STATE
static int __Pyx_PyErr_ExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
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static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err) {
    int result;
    PyObject *exc_type;
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static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
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static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject* obj, PyObject* attr_name) {
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/* PyObjectGetAttrStrNoError (used by GetBuiltinName) */
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static void __Pyx_PyObject_GetAttrStr_ClearAttributeError(void) {
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static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStrNoError(PyObject* obj, PyObject* attr_name) {
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#if CYTHON_COMPILING_IN_CPYTHON && CYTHON_USE_TYPE_SLOTS
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/* GetBuiltinName */
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static _PyErr_StackItem *
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static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
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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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{
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#if __PYX_LIMITED_VERSION_HEX > 0x030C0000
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#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 PY_VERSION_HEX < 0x03090000 || CYTHON_COMPILING_IN_LIMITED_API
static PyObject* __Pyx_PyObject_FastCall_fallback(PyObject *func, PyObject * const*args, size_t nargs, PyObject *kwargs) {
    PyObject *argstuple;
    PyObject *result = 0;
    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
  #if PY_VERSION_HEX < 0x03090000
    #define __Pyx_PyVectorcall_Function(callable) _PyVectorcall_Function(callable)
  #elif 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 _nargs, PyObject *kwargs) {
    Py_ssize_t nargs = __Pyx_PyVectorcall_NARGS(_nargs);
#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
            return PyObject_Vectorcall(func, args, _nargs, NULL);
          #else
            vectorcallfunc f = __Pyx_PyVectorcall_Function(func);
            if (f) {
                return f(func, args, _nargs, NULL);
            }
          #endif
        #endif
    }
    if (nargs == 0) {
        return __Pyx_PyObject_Call(func, __pyx_mstate_global->__pyx_empty_tuple, kwargs);
    }
    #if PY_VERSION_HEX >= 0x03090000 && !CYTHON_COMPILING_IN_LIMITED_API
    return PyObject_VectorcallDict(func, args, (size_t)nargs, kwargs);
    #else
    return __Pyx_PyObject_FastCall_fallback(func, args, (size_t)nargs, kwargs);
    #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;
}

/* TupleAndListFromArray (used by fastcall) */
#if !CYTHON_COMPILING_IN_CPYTHON && CYTHON_METH_FASTCALL
static CYTHON_INLINE PyObject *
__Pyx_PyTuple_FromArray(PyObject *const *src, Py_ssize_t n)
{
    PyObject *res;
    Py_ssize_t i;
    if (n <= 0) {
        return __Pyx_NewRef(__pyx_mstate_global->__pyx_empty_tuple);
    }
    res = PyTuple_New(n);
    if (unlikely(res == NULL)) return NULL;
    for (i = 0; i < n; i++) {
        if (unlikely(__Pyx_PyTuple_SET_ITEM(res, i, src[i]) < (0))) {
            Py_DECREF(res);
            return NULL;
        }
        Py_INCREF(src[i]);
    }
    return res;
}
#elif CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE void __Pyx_copy_object_array(PyObject *const *CYTHON_RESTRICT src, PyObject** CYTHON_RESTRICT dest, Py_ssize_t length) {
    PyObject *v;
    Py_ssize_t i;
    for (i = 0; i < length; i++) {
        v = dest[i] = src[i];
        Py_INCREF(v);
    }
}
static CYTHON_INLINE PyObject *
__Pyx_PyTuple_FromArray(PyObject *const *src, Py_ssize_t n)
{
    PyObject *res;
    if (n <= 0) {
        return __Pyx_NewRef(__pyx_mstate_global->__pyx_empty_tuple);
    }
    res = PyTuple_New(n);
    if (unlikely(res == NULL)) return NULL;
    __Pyx_copy_object_array(src, ((PyTupleObject*)res)->ob_item, n);
    return res;
}
static CYTHON_INLINE PyObject *
__Pyx_PyList_FromArray(PyObject *const *src, Py_ssize_t n)
{
    PyObject *res;
    if (n <= 0) {
        return PyList_New(0);
    }
    res = PyList_New(n);
    if (unlikely(res == NULL)) return NULL;
    __Pyx_copy_object_array(src, ((PyListObject*)res)->ob_item, n);
    return res;
}
#endif

/* BytesEquals (used by UnicodeEquals) */
static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals) {
#if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_GRAAL ||\
        !(CYTHON_ASSUME_SAFE_SIZE && CYTHON_ASSUME_SAFE_MACROS)
    return PyObject_RichCompareBool(s1, s2, equals);
#else
    if (s1 == s2) {
        return (equals == Py_EQ);
    } else if (PyBytes_CheckExact(s1) & PyBytes_CheckExact(s2)) {
        const char *ps1, *ps2;
        Py_ssize_t length = PyBytes_GET_SIZE(s1);
        if (length != PyBytes_GET_SIZE(s2))
            return (equals == Py_NE);
        ps1 = PyBytes_AS_STRING(s1);
        ps2 = PyBytes_AS_STRING(s2);
        if (ps1[0] != ps2[0]) {
            return (equals == Py_NE);
        } else if (length == 1) {
            return (equals == Py_EQ);
        } else {
            int result;
#if CYTHON_USE_UNICODE_INTERNALS && (PY_VERSION_HEX < 0x030B0000)
            Py_hash_t hash1, hash2;
            hash1 = ((PyBytesObject*)s1)->ob_shash;
            hash2 = ((PyBytesObject*)s2)->ob_shash;
            if (hash1 != hash2 && hash1 != -1 && hash2 != -1) {
                return (equals == Py_NE);
            }
#endif
            result = memcmp(ps1, ps2, (size_t)length);
            return (equals == Py_EQ) ? (result == 0) : (result != 0);
        }
    } else if ((s1 == Py_None) & PyBytes_CheckExact(s2)) {
        return (equals == Py_NE);
    } else if ((s2 == Py_None) & PyBytes_CheckExact(s1)) {
        return (equals == Py_NE);
    } else {
        int result;
        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
        if (!py_result)
            return -1;
        result = __Pyx_PyObject_IsTrue(py_result);
        Py_DECREF(py_result);
        return result;
    }
#endif
}

/* UnicodeEquals (used by fastcall) */
static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals) {
#if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_GRAAL
    return PyObject_RichCompareBool(s1, s2, equals);
#else
    int s1_is_unicode, s2_is_unicode;
    if (s1 == s2) {
        goto return_eq;
    }
    s1_is_unicode = PyUnicode_CheckExact(s1);
    s2_is_unicode = PyUnicode_CheckExact(s2);
    if (s1_is_unicode & s2_is_unicode) {
        Py_ssize_t length, length2;
        int kind;
        void *data1, *data2;
        #if !CYTHON_COMPILING_IN_LIMITED_API
        if (unlikely(__Pyx_PyUnicode_READY(s1) < 0) || unlikely(__Pyx_PyUnicode_READY(s2) < 0))
            return -1;
        #endif
        length = __Pyx_PyUnicode_GET_LENGTH(s1);
        #if !CYTHON_ASSUME_SAFE_SIZE
        if (unlikely(length < 0)) return -1;
        #endif
        length2 = __Pyx_PyUnicode_GET_LENGTH(s2);
        #if !CYTHON_ASSUME_SAFE_SIZE
        if (unlikely(length2 < 0)) return -1;
        #endif
        if (length != length2) {
            goto return_ne;
        }
#if CYTHON_USE_UNICODE_INTERNALS
        {
            Py_hash_t hash1, hash2;
            hash1 = ((PyASCIIObject*)s1)->hash;
            hash2 = ((PyASCIIObject*)s2)->hash;
            if (hash1 != hash2 && hash1 != -1 && hash2 != -1) {
                goto return_ne;
            }
        }
#endif
        kind = __Pyx_PyUnicode_KIND(s1);
        if (kind != __Pyx_PyUnicode_KIND(s2)) {
            goto return_ne;
        }
        data1 = __Pyx_PyUnicode_DATA(s1);
        data2 = __Pyx_PyUnicode_DATA(s2);
        if (__Pyx_PyUnicode_READ(kind, data1, 0) != __Pyx_PyUnicode_READ(kind, data2, 0)) {
            goto return_ne;
        } else if (length == 1) {
            goto return_eq;
        } else {
            int result = memcmp(data1, data2, (size_t)(length * kind));
            return (equals == Py_EQ) ? (result == 0) : (result != 0);
        }
    } else if ((s1 == Py_None) & s2_is_unicode) {
        goto return_ne;
    } else if ((s2 == Py_None) & s1_is_unicode) {
        goto return_ne;
    } else {
        int result;
        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
        if (!py_result)
            return -1;
        result = __Pyx_PyObject_IsTrue(py_result);
        Py_DECREF(py_result);
        return result;
    }
return_eq:
    return (equals == Py_EQ);
return_ne:
    return (equals == Py_NE);
#endif
}

/* fastcall */
#if CYTHON_METH_FASTCALL
static CYTHON_INLINE PyObject * __Pyx_GetKwValue_FASTCALL(PyObject *kwnames, PyObject *const *kwvalues, PyObject *s)
{
    Py_ssize_t i, n = __Pyx_PyTuple_GET_SIZE(kwnames);
    #if !CYTHON_ASSUME_SAFE_SIZE
    if (unlikely(n == -1)) return NULL;
    #endif
    for (i = 0; i < n; i++)
    {
        PyObject *namei = __Pyx_PyTuple_GET_ITEM(kwnames, i);
        #if !CYTHON_ASSUME_SAFE_MACROS
        if (unlikely(!namei)) return NULL;
        #endif
        if (s == namei) return kwvalues[i];
    }
    for (i = 0; i < n; i++)
    {
        PyObject *namei = __Pyx_PyTuple_GET_ITEM(kwnames, i);
        #if !CYTHON_ASSUME_SAFE_MACROS
        if (unlikely(!namei)) return NULL;
        #endif
        int eq = __Pyx_PyUnicode_Equals(s, namei, Py_EQ);
        if (unlikely(eq != 0)) {
            if (unlikely(eq < 0)) return NULL;
            return kwvalues[i];
        }
    }
    return NULL;
}
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030d0000 || CYTHON_COMPILING_IN_LIMITED_API
CYTHON_UNUSED static PyObject *__Pyx_KwargsAsDict_FASTCALL(PyObject *kwnames, PyObject *const *kwvalues) {
    Py_ssize_t i, nkwargs;
    PyObject *dict;
#if !CYTHON_ASSUME_SAFE_SIZE
    nkwargs = PyTuple_Size(kwnames);
    if (unlikely(nkwargs < 0)) return NULL;
#else
    nkwargs = PyTuple_GET_SIZE(kwnames);
#endif
    dict = PyDict_New();
    if (unlikely(!dict))
        return NULL;
    for (i=0; i<nkwargs; i++) {
#if !CYTHON_ASSUME_SAFE_MACROS
        PyObject *key = PyTuple_GetItem(kwnames, i);
        if (!key) goto bad;
#else
        PyObject *key = PyTuple_GET_ITEM(kwnames, i);
#endif
        if (unlikely(PyDict_SetItem(dict, key, kwvalues[i]) < 0))
            goto bad;
    }
    return dict;
bad:
    Py_DECREF(dict);
    return NULL;
}
#endif
#endif

/* 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);
}

/* 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);
}

/* UnpackUnboundCMethod (used by CallUnboundCMethod0) */
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030C0000
static PyObject *__Pyx_SelflessCall(PyObject *method, PyObject *args, PyObject *kwargs) {
    PyObject *result;
    PyObject *selfless_args = PyTuple_GetSlice(args, 1, PyTuple_Size(args));
    if (unlikely(!selfless_args)) return NULL;
    result = PyObject_Call(method, selfless_args, kwargs);
    Py_DECREF(selfless_args);
    return result;
}
#elif CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03090000
static PyObject *__Pyx_SelflessCall(PyObject *method, PyObject **args, Py_ssize_t nargs, PyObject *kwnames) {
        return _PyObject_Vectorcall
            (method, args ? args+1 : NULL, nargs ? nargs-1 : 0, kwnames);
}
#else
static PyObject *__Pyx_SelflessCall(PyObject *method, PyObject *const *args, Py_ssize_t nargs, PyObject *kwnames) {
    return
#if PY_VERSION_HEX < 0x03090000
    _PyObject_Vectorcall
#else
    PyObject_Vectorcall
#endif
        (method, args ? args+1 : NULL, nargs ? (size_t) nargs-1 : 0, kwnames);
}
#endif
static PyMethodDef __Pyx_UnboundCMethod_Def = {
     "CythonUnboundCMethod",
     __PYX_REINTERPRET_FUNCION(PyCFunction, __Pyx_SelflessCall),
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030C0000
     METH_VARARGS | METH_KEYWORDS,
#else
     METH_FASTCALL | METH_KEYWORDS,
#endif
     NULL
};
static int __Pyx_TryUnpackUnboundCMethod(__Pyx_CachedCFunction* target) {
    PyObject *method, *result=NULL;
    method = __Pyx_PyObject_GetAttrStr(target->type, *target->method_name);
    if (unlikely(!method))
        return -1;
    result = method;
#if CYTHON_COMPILING_IN_CPYTHON
    if (likely(__Pyx_TypeCheck(method, &PyMethodDescr_Type)))
    {
        PyMethodDescrObject *descr = (PyMethodDescrObject*) method;
        target->func = descr->d_method->ml_meth;
        target->flag = descr->d_method->ml_flags & ~(METH_CLASS | METH_STATIC | METH_COEXIST | METH_STACKLESS);
    } else
#endif
#if CYTHON_COMPILING_IN_PYPY
#else
    if (PyCFunction_Check(method))
#endif
    {
        PyObject *self;
        int self_found;
#if CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_PYPY
        self = PyObject_GetAttrString(method, "__self__");
        if (!self) {
            PyErr_Clear();
        }
#else
        self = PyCFunction_GET_SELF(method);
#endif
        self_found = (self && self != Py_None);
#if CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_PYPY
        Py_XDECREF(self);
#endif
        if (self_found) {
            PyObject *unbound_method = PyCFunction_New(&__Pyx_UnboundCMethod_Def, method);
            if (unlikely(!unbound_method)) return -1;
            Py_DECREF(method);
            result = unbound_method;
        }
    }
#if !CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    if (unlikely(target->method)) {
        Py_DECREF(result);
    } else
#endif
    target->method = result;
    return 0;
}

/* CallUnboundCMethod0 */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_CallUnboundCMethod0(__Pyx_CachedCFunction* cfunc, PyObject* self) {
    int was_initialized = __Pyx_CachedCFunction_GetAndSetInitializing(cfunc);
    if (likely(was_initialized == 2 && cfunc->func)) {
        if (likely(cfunc->flag == METH_NOARGS))
            return __Pyx_CallCFunction(cfunc, self, NULL);
        if (likely(cfunc->flag == METH_FASTCALL))
            return __Pyx_CallCFunctionFast(cfunc, self, NULL, 0);
        if (cfunc->flag == (METH_FASTCALL | METH_KEYWORDS))
            return __Pyx_CallCFunctionFastWithKeywords(cfunc, self, NULL, 0, NULL);
        if (likely(cfunc->flag == (METH_VARARGS | METH_KEYWORDS)))
            return __Pyx_CallCFunctionWithKeywords(cfunc, self, __pyx_mstate_global->__pyx_empty_tuple, NULL);
        if (cfunc->flag == METH_VARARGS)
            return __Pyx_CallCFunction(cfunc, self, __pyx_mstate_global->__pyx_empty_tuple);
        return __Pyx__CallUnboundCMethod0(cfunc, self);
    }
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    else if (unlikely(was_initialized == 1)) {
        __Pyx_CachedCFunction tmp_cfunc = {
#ifndef __cplusplus
            0
#endif
        };
        tmp_cfunc.type = cfunc->type;
        tmp_cfunc.method_name = cfunc->method_name;
        return __Pyx__CallUnboundCMethod0(&tmp_cfunc, self);
    }
#endif
    PyObject *result = __Pyx__CallUnboundCMethod0(cfunc, self);
    __Pyx_CachedCFunction_SetFinishedInitializing(cfunc);
    return result;
}
#endif
static PyObject* __Pyx__CallUnboundCMethod0(__Pyx_CachedCFunction* cfunc, PyObject* self) {
    PyObject *result;
    if (unlikely(!cfunc->method) && unlikely(__Pyx_TryUnpackUnboundCMethod(cfunc) < 0)) return NULL;
    result = __Pyx_PyObject_CallOneArg(cfunc->method, self);
    return result;
}

/* py_dict_items (used by OwnedDictNext) */
static CYTHON_INLINE PyObject* __Pyx_PyDict_Items(PyObject* d) {
    return __Pyx_CallUnboundCMethod0(&__pyx_mstate_global->__pyx_umethod_PyDict_Type_items, d);
}

/* py_dict_values (used by OwnedDictNext) */
static CYTHON_INLINE PyObject* __Pyx_PyDict_Values(PyObject* d) {
    return __Pyx_CallUnboundCMethod0(&__pyx_mstate_global->__pyx_umethod_PyDict_Type_values, d);
}

/* OwnedDictNext (used by RejectKeywords) */
#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

/* RejectKeywords */
static void __Pyx_RejectKeywords(const char* function_name, PyObject *kwds) {
    PyObject *key = NULL;
    if (CYTHON_METH_FASTCALL && likely(PyTuple_Check(kwds))) {
        key = __Pyx_PySequence_ITEM(kwds, 0);
    } else {
#if CYTHON_AVOID_BORROWED_REFS
        PyObject *pos = NULL;
#else
        Py_ssize_t pos = 0;
#endif
#if !CYTHON_COMPILING_IN_PYPY || defined(PyArg_ValidateKeywordArguments)
        if (unlikely(!PyArg_ValidateKeywordArguments(kwds))) return;
#endif
        __Pyx_PyDict_NextRef(kwds, &pos, &key, NULL);
#if CYTHON_AVOID_BORROWED_REFS
        Py_XDECREF(pos);
#endif
    }
    if (likely(key)) {
        PyErr_Format(PyExc_TypeError,
            "%s() got an unexpected keyword argument '%U'",
            function_name, key);
        Py_DECREF(key);
    }
}

/* PyObjectFastCallMethod */
#if !CYTHON_VECTORCALL || PY_VERSION_HEX < 0x03090000
static PyObject *__Pyx_PyObject_FastCallMethod(PyObject *name, PyObject *const *args, size_t nargsf) {
    PyObject *result;
    PyObject *attr = PyObject_GetAttr(args[0], name);
    if (unlikely(!attr))
        return NULL;
    result = __Pyx_PyObject_FastCall(attr, args+1, nargsf - 1);
    Py_DECREF(attr);
    return result;
}
#endif

/* RaiseDoubleKeywords (used by ParseKeywordsImpl) */
static void __Pyx_RaiseDoubleKeywordsError(
    const char* func_name,
    PyObject* kw_name)
{
    PyErr_Format(PyExc_TypeError,
        "%s() got multiple values for keyword argument '%U'", func_name, kw_name);
}

/* CallUnboundCMethod2 */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject *__Pyx_CallUnboundCMethod2(__Pyx_CachedCFunction *cfunc, PyObject *self, PyObject *arg1, PyObject *arg2) {
    int was_initialized = __Pyx_CachedCFunction_GetAndSetInitializing(cfunc);
    if (likely(was_initialized == 2 && cfunc->func)) {
        PyObject *args[2] = {arg1, arg2};
        if (cfunc->flag == METH_FASTCALL) {
            return __Pyx_CallCFunctionFast(cfunc, self, args, 2);
        }
        if (cfunc->flag == (METH_FASTCALL | METH_KEYWORDS))
            return __Pyx_CallCFunctionFastWithKeywords(cfunc, self, args, 2, NULL);
    }
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    else if (unlikely(was_initialized == 1)) {
        __Pyx_CachedCFunction tmp_cfunc = {
#ifndef __cplusplus
            0
#endif
        };
        tmp_cfunc.type = cfunc->type;
        tmp_cfunc.method_name = cfunc->method_name;
        return __Pyx__CallUnboundCMethod2(&tmp_cfunc, self, arg1, arg2);
    }
#endif
    PyObject *result = __Pyx__CallUnboundCMethod2(cfunc, self, arg1, arg2);
    __Pyx_CachedCFunction_SetFinishedInitializing(cfunc);
    return result;
}
#endif
static PyObject* __Pyx__CallUnboundCMethod2(__Pyx_CachedCFunction* cfunc, PyObject* self, PyObject* arg1, PyObject* arg2){
    if (unlikely(!cfunc->func && !cfunc->method) && unlikely(__Pyx_TryUnpackUnboundCMethod(cfunc) < 0)) return NULL;
#if CYTHON_COMPILING_IN_CPYTHON
    if (cfunc->func && (cfunc->flag & METH_VARARGS)) {
        PyObject *result = NULL;
        PyObject *args = PyTuple_New(2);
        if (unlikely(!args)) return NULL;
        Py_INCREF(arg1);
        PyTuple_SET_ITEM(args, 0, arg1);
        Py_INCREF(arg2);
        PyTuple_SET_ITEM(args, 1, arg2);
        if (cfunc->flag & METH_KEYWORDS)
            result = __Pyx_CallCFunctionWithKeywords(cfunc, self, args, NULL);
        else
            result = __Pyx_CallCFunction(cfunc, self, args);
        Py_DECREF(args);
        return result;
    }
#endif
    {
        PyObject *args[4] = {NULL, self, arg1, arg2};
        return __Pyx_PyObject_FastCall(cfunc->method, args+1, 3 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET);
    }
}

/* ParseKeywordsImpl (used by ParseKeywords) */
static int __Pyx_ValidateDuplicatePosArgs(
    PyObject *kwds,
    PyObject ** const argnames[],
    PyObject ** const *first_kw_arg,
    const char* function_name)
{
    PyObject ** const *name = argnames;
    while (name != first_kw_arg) {
        PyObject *key = **name;
        int found = PyDict_Contains(kwds, key);
        if (unlikely(found)) {
            if (found == 1) __Pyx_RaiseDoubleKeywordsError(function_name, key);
            goto bad;
        }
        name++;
    }
    return 0;
bad:
    return -1;
}
#if CYTHON_USE_UNICODE_INTERNALS
static CYTHON_INLINE int __Pyx_UnicodeKeywordsEqual(PyObject *s1, PyObject *s2) {
    int kind;
    Py_ssize_t len = PyUnicode_GET_LENGTH(s1);
    if (len != PyUnicode_GET_LENGTH(s2)) return 0;
    kind = PyUnicode_KIND(s1);
    if (kind != PyUnicode_KIND(s2)) return 0;
    const void *data1 = PyUnicode_DATA(s1);
    const void *data2 = PyUnicode_DATA(s2);
    return (memcmp(data1, data2, (size_t) len * (size_t) kind) == 0);
}
#endif
static int __Pyx_MatchKeywordArg_str(
    PyObject *key,
    PyObject ** const argnames[],
    PyObject ** const *first_kw_arg,
    size_t *index_found,
    const char *function_name)
{
    PyObject ** const *name;
    #if CYTHON_USE_UNICODE_INTERNALS
    Py_hash_t key_hash = ((PyASCIIObject*)key)->hash;
    if (unlikely(key_hash == -1)) {
        key_hash = PyObject_Hash(key);
        if (unlikely(key_hash == -1))
            goto bad;
    }
    #endif
    name = first_kw_arg;
    while (*name) {
        PyObject *name_str = **name;
        #if CYTHON_USE_UNICODE_INTERNALS
        if (key_hash == ((PyASCIIObject*)name_str)->hash && __Pyx_UnicodeKeywordsEqual(name_str, key)) {
            *index_found = (size_t) (name - argnames);
            return 1;
        }
        #else
        #if CYTHON_ASSUME_SAFE_SIZE
        if (PyUnicode_GET_LENGTH(name_str) == PyUnicode_GET_LENGTH(key))
        #endif
        {
            int cmp = PyUnicode_Compare(name_str, key);
            if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
            if (cmp == 0) {
                *index_found = (size_t) (name - argnames);
                return 1;
            }
        }
        #endif
        name++;
    }
    name = argnames;
    while (name != first_kw_arg) {
        PyObject *name_str = **name;
        #if CYTHON_USE_UNICODE_INTERNALS
        if (unlikely(key_hash == ((PyASCIIObject*)name_str)->hash)) {
            if (__Pyx_UnicodeKeywordsEqual(name_str, key))
                goto arg_passed_twice;
        }
        #else
        #if CYTHON_ASSUME_SAFE_SIZE
        if (PyUnicode_GET_LENGTH(name_str) == PyUnicode_GET_LENGTH(key))
        #endif
        {
            if (unlikely(name_str == key)) goto arg_passed_twice;
            int cmp = PyUnicode_Compare(name_str, key);
            if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
            if (cmp == 0) goto arg_passed_twice;
        }
        #endif
        name++;
    }
    return 0;
arg_passed_twice:
    __Pyx_RaiseDoubleKeywordsError(function_name, key);
    goto bad;
bad:
    return -1;
}
static int __Pyx_MatchKeywordArg_nostr(
    PyObject *key,
    PyObject ** const argnames[],
    PyObject ** const *first_kw_arg,
    size_t *index_found,
    const char *function_name)
{
    PyObject ** const *name;
    if (unlikely(!PyUnicode_Check(key))) goto invalid_keyword_type;
    name = first_kw_arg;
    while (*name) {
        int cmp = PyObject_RichCompareBool(**name, key, Py_EQ);
        if (cmp == 1) {
            *index_found = (size_t) (name - argnames);
            return 1;
        }
        if (unlikely(cmp == -1)) goto bad;
        name++;
    }
    name = argnames;
    while (name != first_kw_arg) {
        int cmp = PyObject_RichCompareBool(**name, key, Py_EQ);
        if (unlikely(cmp != 0)) {
            if (cmp == 1) goto arg_passed_twice;
            else goto bad;
        }
        name++;
    }
    return 0;
arg_passed_twice:
    __Pyx_RaiseDoubleKeywordsError(function_name, key);
    goto bad;
invalid_keyword_type:
    PyErr_Format(PyExc_TypeError,
        "%.200s() keywords must be strings", function_name);
    goto bad;
bad:
    return -1;
}
static CYTHON_INLINE int __Pyx_MatchKeywordArg(
    PyObject *key,
    PyObject ** const argnames[],
    PyObject ** const *first_kw_arg,
    size_t *index_found,
    const char *function_name)
{
    return likely(PyUnicode_CheckExact(key)) ?
        __Pyx_MatchKeywordArg_str(key, argnames, first_kw_arg, index_found, function_name) :
        __Pyx_MatchKeywordArg_nostr(key, argnames, first_kw_arg, index_found, function_name);
}
static void __Pyx_RejectUnknownKeyword(
    PyObject *kwds,
    PyObject ** const argnames[],
    PyObject ** const *first_kw_arg,
    const char *function_name)
{
    #if CYTHON_AVOID_BORROWED_REFS
    PyObject *pos = NULL;
    #else
    Py_ssize_t pos = 0;
    #endif
    PyObject *key = NULL;
    __Pyx_BEGIN_CRITICAL_SECTION(kwds);
    while (
        #if CYTHON_AVOID_BORROWED_REFS
        __Pyx_PyDict_NextRef(kwds, &pos, &key, NULL)
        #else
        PyDict_Next(kwds, &pos, &key, NULL)
        #endif
    ) {
        PyObject** const *name = first_kw_arg;
        while (*name && (**name != key)) name++;
        if (!*name) {
            size_t index_found = 0;
            int cmp = __Pyx_MatchKeywordArg(key, argnames, first_kw_arg, &index_found, function_name);
            if (cmp != 1) {
                if (cmp == 0) {
                    PyErr_Format(PyExc_TypeError,
                        "%s() got an unexpected keyword argument '%U'",
                        function_name, key);
                }
                #if CYTHON_AVOID_BORROWED_REFS
                Py_DECREF(key);
                #endif
                break;
            }
        }
        #if CYTHON_AVOID_BORROWED_REFS
        Py_DECREF(key);
        #endif
    }
    __Pyx_END_CRITICAL_SECTION();
    #if CYTHON_AVOID_BORROWED_REFS
    Py_XDECREF(pos);
    #endif
    assert(PyErr_Occurred());
}
static int __Pyx_ParseKeywordDict(
    PyObject *kwds,
    PyObject ** const argnames[],
    PyObject *values[],
    Py_ssize_t num_pos_args,
    Py_ssize_t num_kwargs,
    const char* function_name,
    int ignore_unknown_kwargs)
{
    PyObject** const *name;
    PyObject** const *first_kw_arg = argnames + num_pos_args;
    Py_ssize_t extracted = 0;
#if !CYTHON_COMPILING_IN_PYPY || defined(PyArg_ValidateKeywordArguments)
    if (unlikely(!PyArg_ValidateKeywordArguments(kwds))) return -1;
#endif
    name = first_kw_arg;
    while (*name && num_kwargs > extracted) {
        PyObject * key = **name;
        PyObject *value;
        int found = 0;
        #if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
        found = PyDict_GetItemRef(kwds, key, &value);
        #else
        value = PyDict_GetItemWithError(kwds, key);
        if (value) {
            Py_INCREF(value);
            found = 1;
        } else {
            if (unlikely(PyErr_Occurred())) goto bad;
        }
        #endif
        if (found) {
            if (unlikely(found < 0)) goto bad;
            values[name-argnames] = value;
            extracted++;
        }
        name++;
    }
    if (num_kwargs > extracted) {
        if (ignore_unknown_kwargs) {
            if (unlikely(__Pyx_ValidateDuplicatePosArgs(kwds, argnames, first_kw_arg, function_name) == -1))
                goto bad;
        } else {
            __Pyx_RejectUnknownKeyword(kwds, argnames, first_kw_arg, function_name);
            goto bad;
        }
    }
    return 0;
bad:
    return -1;
}
static int __Pyx_ParseKeywordDictToDict(
    PyObject *kwds,
    PyObject ** const argnames[],
    PyObject *kwds2,
    PyObject *values[],
    Py_ssize_t num_pos_args,
    const char* function_name)
{
    PyObject** const *name;
    PyObject** const *first_kw_arg = argnames + num_pos_args;
    Py_ssize_t len;
#if !CYTHON_COMPILING_IN_PYPY || defined(PyArg_ValidateKeywordArguments)
    if (unlikely(!PyArg_ValidateKeywordArguments(kwds))) return -1;
#endif
    if (PyDict_Update(kwds2, kwds) < 0) goto bad;
    name = first_kw_arg;
    while (*name) {
        PyObject *key = **name;
        PyObject *value;
#if !CYTHON_COMPILING_IN_LIMITED_API && (PY_VERSION_HEX >= 0x030d00A2 || defined(PyDict_Pop))
        int found = PyDict_Pop(kwds2, key, &value);
        if (found) {
            if (unlikely(found < 0)) goto bad;
            values[name-argnames] = value;
        }
#elif __PYX_LIMITED_VERSION_HEX >= 0x030d0000
        int found = PyDict_GetItemRef(kwds2, key, &value);
        if (found) {
            if (unlikely(found < 0)) goto bad;
            values[name-argnames] = value;
            if (unlikely(PyDict_DelItem(kwds2, key) < 0)) goto bad;
        }
#else
    #if CYTHON_COMPILING_IN_CPYTHON
        value = _PyDict_Pop(kwds2, key, kwds2);
    #else
        value = __Pyx_CallUnboundCMethod2(&__pyx_mstate_global->__pyx_umethod_PyDict_Type_pop, kwds2, key, kwds2);
    #endif
        if (value == kwds2) {
            Py_DECREF(value);
        } else {
            if (unlikely(!value)) goto bad;
            values[name-argnames] = value;
        }
#endif
        name++;
    }
    len = PyDict_Size(kwds2);
    if (len > 0) {
        return __Pyx_ValidateDuplicatePosArgs(kwds, argnames, first_kw_arg, function_name);
    } else if (unlikely(len == -1)) {
        goto bad;
    }
    return 0;
bad:
    return -1;
}
static int __Pyx_ParseKeywordsTuple(
    PyObject *kwds,
    PyObject * const *kwvalues,
    PyObject ** const argnames[],
    PyObject *kwds2,
    PyObject *values[],
    Py_ssize_t num_pos_args,
    Py_ssize_t num_kwargs,
    const char* function_name,
    int ignore_unknown_kwargs)
{
    PyObject *key = NULL;
    PyObject** const * name;
    PyObject** const *first_kw_arg = argnames + num_pos_args;
    for (Py_ssize_t pos = 0; pos < num_kwargs; pos++) {
#if CYTHON_AVOID_BORROWED_REFS
        key = __Pyx_PySequence_ITEM(kwds, pos);
#else
        key = __Pyx_PyTuple_GET_ITEM(kwds, pos);
#endif
#if !CYTHON_ASSUME_SAFE_MACROS
        if (unlikely(!key)) goto bad;
#endif
        name = first_kw_arg;
        while (*name && (**name != key)) name++;
        if (*name) {
            PyObject *value = kwvalues[pos];
            values[name-argnames] = __Pyx_NewRef(value);
        } else {
            size_t index_found = 0;
            int cmp = __Pyx_MatchKeywordArg(key, argnames, first_kw_arg, &index_found, function_name);
            if (cmp == 1) {
                PyObject *value = kwvalues[pos];
                values[index_found] = __Pyx_NewRef(value);
            } else {
                if (unlikely(cmp == -1)) goto bad;
                if (kwds2) {
                    PyObject *value = kwvalues[pos];
                    if (unlikely(PyDict_SetItem(kwds2, key, value))) goto bad;
                } else if (!ignore_unknown_kwargs) {
                    goto invalid_keyword;
                }
            }
        }
        #if CYTHON_AVOID_BORROWED_REFS
        Py_DECREF(key);
        key = NULL;
        #endif
    }
    return 0;
invalid_keyword:
    PyErr_Format(PyExc_TypeError,
        "%s() got an unexpected keyword argument '%U'",
        function_name, key);
    goto bad;
bad:
    #if CYTHON_AVOID_BORROWED_REFS
    Py_XDECREF(key);
    #endif
    return -1;
}

/* ParseKeywords */
static int __Pyx_ParseKeywords(
    PyObject *kwds,
    PyObject * const *kwvalues,
    PyObject ** const argnames[],
    PyObject *kwds2,
    PyObject *values[],
    Py_ssize_t num_pos_args,
    Py_ssize_t num_kwargs,
    const char* function_name,
    int ignore_unknown_kwargs)
{
    if (CYTHON_METH_FASTCALL && likely(PyTuple_Check(kwds)))
        return __Pyx_ParseKeywordsTuple(kwds, kwvalues, argnames, kwds2, values, num_pos_args, num_kwargs, function_name, ignore_unknown_kwargs);
    else if (kwds2)
        return __Pyx_ParseKeywordDictToDict(kwds, argnames, kwds2, values, num_pos_args, function_name);
    else
        return __Pyx_ParseKeywordDict(kwds, argnames, values, num_pos_args, num_kwargs, function_name, ignore_unknown_kwargs);
}

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

/* 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;
    }
    PyErr_Clear();
#elif CYTHON_AVOID_BORROWED_REFS || CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS
    if (unlikely(__Pyx_PyDict_GetItemRef(__pyx_mstate_global->__pyx_d, name, &result) == -1)) PyErr_Clear();
    __PYX_UPDATE_DICT_CACHE(__pyx_mstate_global->__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return result;
    }
#else
    result = _PyDict_GetItem_KnownHash(__pyx_mstate_global->__pyx_d, name, ((PyASCIIObject *) name)->hash);
    __PYX_UPDATE_DICT_CACHE(__pyx_mstate_global->__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    }
    PyErr_Clear();
#endif
    return __Pyx_GetBuiltinName(name);
}

/* PyObjectVectorCallKwBuilder */
#if CYTHON_VECTORCALL
static int __Pyx_VectorcallBuilder_AddArg(PyObject *key, PyObject *value, PyObject *builder, PyObject **args, int n) {
    (void)__Pyx_PyObject_FastCallDict;
    if (__Pyx_PyTuple_SET_ITEM(builder, n, key) != (0)) return -1;
    Py_INCREF(key);
    args[n] = value;
    return 0;
}
CYTHON_UNUSED static int __Pyx_VectorcallBuilder_AddArg_Check(PyObject *key, PyObject *value, PyObject *builder, PyObject **args, int n) {
    (void)__Pyx_VectorcallBuilder_AddArgStr;
    if (unlikely(!PyUnicode_Check(key))) {
        PyErr_SetString(PyExc_TypeError, "keywords must be strings");
        return -1;
    }
    return __Pyx_VectorcallBuilder_AddArg(key, value, builder, args, n);
}
static int __Pyx_VectorcallBuilder_AddArgStr(const char *key, PyObject *value, PyObject *builder, PyObject **args, int n) {
    PyObject *pyKey = PyUnicode_FromString(key);
    if (!pyKey) return -1;
    return __Pyx_VectorcallBuilder_AddArg(pyKey, value, builder, args, n);
}
#else // CYTHON_VECTORCALL
CYTHON_UNUSED static int __Pyx_VectorcallBuilder_AddArg_Check(PyObject *key, PyObject *value, PyObject *builder, CYTHON_UNUSED PyObject **args, CYTHON_UNUSED int n) {
    if (unlikely(!PyUnicode_Check(key))) {
        PyErr_SetString(PyExc_TypeError, "keywords must be strings");
        return -1;
    }
    return PyDict_SetItem(builder, key, value);
}
#endif

/* PyLongCompare */
static CYTHON_INLINE int __Pyx_PyLong_BoolEqObjC(PyObject *op1, PyObject *op2, long intval, long inplace) {
    CYTHON_MAYBE_UNUSED_VAR(intval);
    CYTHON_UNUSED_VAR(inplace);
    if (op1 == op2) {
        return 1;
    }
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        int unequal;
        unsigned long uintval;
        Py_ssize_t size = __Pyx_PyLong_DigitCount(op1);
        const digit* digits = __Pyx_PyLong_Digits(op1);
        if (intval == 0) {
            return (__Pyx_PyLong_IsZero(op1) == 1);
        } else if (intval < 0) {
            if (__Pyx_PyLong_IsNonNeg(op1))
                return 0;
            intval = -intval;
        } else {
            if (__Pyx_PyLong_IsNeg(op1))
                return 0;
        }
        uintval = (unsigned long) intval;
#if PyLong_SHIFT * 4 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 4)) {
            unequal = (size != 5) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[4] != ((uintval >> (4 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 3 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 3)) {
            unequal = (size != 4) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 2 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 2)) {
            unequal = (size != 3) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 1 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 1)) {
            unequal = (size != 2) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
            unequal = (size != 1) || (((unsigned long) digits[0]) != (uintval & (unsigned long) PyLong_MASK));
        return (unequal == 0);
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
        double a = __Pyx_PyFloat_AS_DOUBLE(op1);
        return ((double)a == (double)b);
    }
    return __Pyx_PyObject_IsTrueAndDecref(
        PyObject_RichCompare(op1, op2, Py_EQ));
}

/* GetItemInt */
static PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j) {
    PyObject *r;
    if (unlikely(!j)) return NULL;
    r = PyObject_GetItem(o, j);
    Py_DECREF(j);
    return r;
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i,
                                                              int wraparound, int boundscheck, int unsafe_shared) {
    CYTHON_MAYBE_UNUSED_VAR(unsafe_shared);
#if CYTHON_ASSUME_SAFE_SIZE
    Py_ssize_t wrapped_i = i;
    if (wraparound & unlikely(i < 0)) {
        wrapped_i += PyList_GET_SIZE(o);
    }
    if ((CYTHON_AVOID_BORROWED_REFS || CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS || !CYTHON_ASSUME_SAFE_MACROS)) {
        return __Pyx_PyList_GetItemRefFast(o, wrapped_i, unsafe_shared);
    } else
    if ((!boundscheck) || likely(__Pyx_is_valid_index(wrapped_i, PyList_GET_SIZE(o)))) {
        return __Pyx_NewRef(PyList_GET_ITEM(o, wrapped_i));
    }
    return __Pyx_GetItemInt_Generic(o, PyLong_FromSsize_t(i));
#else
    (void)wraparound;
    (void)boundscheck;
    return PySequence_GetItem(o, i);
#endif
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,
                                                              int wraparound, int boundscheck, int unsafe_shared) {
    CYTHON_MAYBE_UNUSED_VAR(unsafe_shared);
#if CYTHON_ASSUME_SAFE_SIZE && CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    Py_ssize_t wrapped_i = i;
    if (wraparound & unlikely(i < 0)) {
        wrapped_i += PyTuple_GET_SIZE(o);
    }
    if ((!boundscheck) || likely(__Pyx_is_valid_index(wrapped_i, PyTuple_GET_SIZE(o)))) {
        return __Pyx_NewRef(PyTuple_GET_ITEM(o, wrapped_i));
    }
    return __Pyx_GetItemInt_Generic(o, PyLong_FromSsize_t(i));
#else
    (void)wraparound;
    (void)boundscheck;
    return PySequence_GetItem(o, i);
#endif
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i, int is_list,
                                                     int wraparound, int boundscheck, int unsafe_shared) {
    CYTHON_MAYBE_UNUSED_VAR(unsafe_shared);
#if CYTHON_ASSUME_SAFE_MACROS && CYTHON_ASSUME_SAFE_SIZE
    if (is_list || PyList_CheckExact(o)) {
        Py_ssize_t n = ((!wraparound) | likely(i >= 0)) ? i : i + PyList_GET_SIZE(o);
        if ((CYTHON_AVOID_BORROWED_REFS || CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS)) {
            return __Pyx_PyList_GetItemRefFast(o, n, unsafe_shared);
        } else if ((!boundscheck) || (likely(__Pyx_is_valid_index(n, PyList_GET_SIZE(o))))) {
            return __Pyx_NewRef(PyList_GET_ITEM(o, n));
        }
    } else
    #if !CYTHON_AVOID_BORROWED_REFS
    if (PyTuple_CheckExact(o)) {
        Py_ssize_t n = ((!wraparound) | likely(i >= 0)) ? i : i + PyTuple_GET_SIZE(o);
        if ((!boundscheck) || likely(__Pyx_is_valid_index(n, PyTuple_GET_SIZE(o)))) {
            return __Pyx_NewRef(PyTuple_GET_ITEM(o, n));
        }
    } else
    #endif
#endif
#if CYTHON_USE_TYPE_SLOTS && !CYTHON_COMPILING_IN_PYPY
    {
        PyMappingMethods *mm = Py_TYPE(o)->tp_as_mapping;
        PySequenceMethods *sm = Py_TYPE(o)->tp_as_sequence;
        if (!is_list && mm && mm->mp_subscript) {
            PyObject *r, *key = PyLong_FromSsize_t(i);
            if (unlikely(!key)) return NULL;
            r = mm->mp_subscript(o, key);
            Py_DECREF(key);
            return r;
        }
        if (is_list || likely(sm && sm->sq_item)) {
            if (wraparound && unlikely(i < 0) && likely(sm->sq_length)) {
                Py_ssize_t l = sm->sq_length(o);
                if (likely(l >= 0)) {
                    i += l;
                } else {
                    if (!PyErr_ExceptionMatches(PyExc_OverflowError))
                        return NULL;
                    PyErr_Clear();
                }
            }
            return sm->sq_item(o, i);
        }
    }
#else
    if (is_list || !PyMapping_Check(o)) {
        return PySequence_GetItem(o, i);
    }
#endif
    (void)wraparound;
    (void)boundscheck;
    return __Pyx_GetItemInt_Generic(o, PyLong_FromSsize_t(i));
}

/* 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, 0, 1, 1, 1);
    }
    if (PyErr_GivenExceptionMatches(runerr, PyExc_OverflowError)) {
        __Pyx_TypeName index_type_name = __Pyx_PyType_GetFullyQualifiedName(Py_TYPE(index));
        PyErr_Clear();
        PyErr_Format(PyExc_IndexError,
            "cannot fit '" __Pyx_FMT_TYPENAME "' into an index-sized integer", index_type_name);
        __Pyx_DECREF_TypeName(index_type_name);
    }
    return NULL;
}
static PyObject *__Pyx_PyObject_GetItem_Slow(PyObject *obj, PyObject *key) {
    __Pyx_TypeName obj_type_name;
    if (likely(PyType_Check(obj))) {
        PyObject *meth = __Pyx_PyObject_GetAttrStrNoError(obj, __pyx_mstate_global->__pyx_n_u_class_getitem);
        if (!meth) {
            PyErr_Clear();
        } else {
            PyObject *result = __Pyx_PyObject_CallOneArg(meth, key);
            Py_DECREF(meth);
            return result;
        }
    }
    obj_type_name = __Pyx_PyType_GetFullyQualifiedName(Py_TYPE(obj));
    PyErr_Format(PyExc_TypeError,
        "'" __Pyx_FMT_TYPENAME "' object is not subscriptable", obj_type_name);
    __Pyx_DECREF_TypeName(obj_type_name);
    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

/* RaiseClosureNameError */
static void __Pyx_RaiseClosureNameError(const char *varname) {
    PyErr_Format(PyExc_NameError, "free variable '%s' referenced before assignment in enclosing scope", varname);
}

/* dict_setdefault (used by FetchCommonType) */
static CYTHON_INLINE PyObject *__Pyx_PyDict_SetDefault(PyObject *d, PyObject *key, PyObject *default_value) {
    PyObject* value;
#if 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);
#elif PY_VERSION_HEX >= 0x030d0000
    PyDict_SetDefaultRef(d, key, default_value, &value);
#else
    value = PyDict_SetDefault(d, key, default_value);
    if (unlikely(!value)) return NULL;
    Py_INCREF(value);
#endif
    return value;
}

/* LimitedApiGetTypeDict (used by SetItemOnTypeDict) */
#if CYTHON_COMPILING_IN_LIMITED_API
static Py_ssize_t __Pyx_GetTypeDictOffset(void) {
    PyObject *tp_dictoffset_o;
    Py_ssize_t tp_dictoffset;
    tp_dictoffset_o = PyObject_GetAttrString((PyObject*)(&PyType_Type), "__dictoffset__");
    if (unlikely(!tp_dictoffset_o)) return -1;
    tp_dictoffset = PyLong_AsSsize_t(tp_dictoffset_o);
    Py_DECREF(tp_dictoffset_o);
    if (unlikely(tp_dictoffset == 0)) {
        PyErr_SetString(
            PyExc_TypeError,
            "'type' doesn't have a dictoffset");
        return -1;
    } else if (unlikely(tp_dictoffset < 0)) {
        PyErr_SetString(
            PyExc_TypeError,
            "'type' has an unexpected negative dictoffset. "
            "Please report this as Cython bug");
        return -1;
    }
    return tp_dictoffset;
}
static PyObject *__Pyx_GetTypeDict(PyTypeObject *tp) {
    static Py_ssize_t tp_dictoffset = 0;
    if (unlikely(tp_dictoffset == 0)) {
        tp_dictoffset = __Pyx_GetTypeDictOffset();
        if (unlikely(tp_dictoffset == -1 && PyErr_Occurred())) {
            tp_dictoffset = 0; // try again next time?
            return NULL;
        }
    }
    return *(PyObject**)((char*)tp + tp_dictoffset);
}
#endif

/* SetItemOnTypeDict (used by FixUpExtensionType) */
static int __Pyx__SetItemOnTypeDict(PyTypeObject *tp, PyObject *k, PyObject *v) {
    int result;
    PyObject *tp_dict;
#if CYTHON_COMPILING_IN_LIMITED_API
    tp_dict = __Pyx_GetTypeDict(tp);
    if (unlikely(!tp_dict)) return -1;
#else
    tp_dict = tp->tp_dict;
#endif
    result = PyDict_SetItem(tp_dict, k, v);
    if (likely(!result)) {
        PyType_Modified(tp);
        if (unlikely(PyObject_HasAttr(v, __pyx_mstate_global->__pyx_n_u_set_name))) {
            PyObject *setNameResult = PyObject_CallMethodObjArgs(v, __pyx_mstate_global->__pyx_n_u_set_name,  (PyObject *) tp, k, NULL);
            if (!setNameResult) return -1;
            Py_DECREF(setNameResult);
        }
    }
    return result;
}

/* FixUpExtensionType (used by FetchCommonType) */
static int __Pyx_fix_up_extension_type_from_spec(PyType_Spec *spec, PyTypeObject *type) {
#if __PYX_LIMITED_VERSION_HEX > 0x030900B1
    CYTHON_UNUSED_VAR(spec);
    CYTHON_UNUSED_VAR(type);
    CYTHON_UNUSED_VAR(__Pyx__SetItemOnTypeDict);
#else
    const PyType_Slot *slot = spec->slots;
    int changed = 0;
#if !CYTHON_COMPILING_IN_LIMITED_API
    while (slot && slot->slot && slot->slot != Py_tp_members)
        slot++;
    if (slot && slot->slot == Py_tp_members) {
#if !CYTHON_COMPILING_IN_CPYTHON
        const
#endif  // !CYTHON_COMPILING_IN_CPYTHON)
            PyMemberDef *memb = (PyMemberDef*) slot->pfunc;
        while (memb && memb->name) {
            if (memb->name[0] == '_' && memb->name[1] == '_') {
                if (strcmp(memb->name, "__weaklistoffset__") == 0) {
                    assert(memb->type == T_PYSSIZET);
                    assert(memb->flags == READONLY);
                    type->tp_weaklistoffset = memb->offset;
                    changed = 1;
                }
                else if (strcmp(memb->name, "__dictoffset__") == 0) {
                    assert(memb->type == T_PYSSIZET);
                    assert(memb->flags == READONLY);
                    type->tp_dictoffset = memb->offset;
                    changed = 1;
                }
#if CYTHON_METH_FASTCALL
                else if (strcmp(memb->name, "__vectorcalloffset__") == 0) {
                    assert(memb->type == T_PYSSIZET);
                    assert(memb->flags == READONLY);
                    type->tp_vectorcall_offset = memb->offset;
                    changed = 1;
                }
#endif  // CYTHON_METH_FASTCALL
#if !CYTHON_COMPILING_IN_PYPY
                else if (strcmp(memb->name, "__module__") == 0) {
                    PyObject *descr;
                    assert(memb->type == T_OBJECT);
                    assert(memb->flags == 0 || memb->flags == READONLY);
                    descr = PyDescr_NewMember(type, memb);
                    if (unlikely(!descr))
                        return -1;
                    int set_item_result = PyDict_SetItem(type->tp_dict, PyDescr_NAME(descr), descr);
                    Py_DECREF(descr);
                    if (unlikely(set_item_result < 0)) {
                        return -1;
                    }
                    changed = 1;
                }
#endif  // !CYTHON_COMPILING_IN_PYPY
            }
            memb++;
        }
    }
#endif  // !CYTHON_COMPILING_IN_LIMITED_API
#if !CYTHON_COMPILING_IN_PYPY
    slot = spec->slots;
    while (slot && slot->slot && slot->slot != Py_tp_getset)
        slot++;
    if (slot && slot->slot == Py_tp_getset) {
        PyGetSetDef *getset = (PyGetSetDef*) slot->pfunc;
        while (getset && getset->name) {
            if (getset->name[0] == '_' && getset->name[1] == '_' && strcmp(getset->name, "__module__") == 0) {
                PyObject *descr = PyDescr_NewGetSet(type, getset);
                if (unlikely(!descr))
                    return -1;
                #if CYTHON_COMPILING_IN_LIMITED_API
                PyObject *pyname = PyUnicode_FromString(getset->name);
                if (unlikely(!pyname)) {
                    Py_DECREF(descr);
                    return -1;
                }
                int set_item_result = __Pyx_SetItemOnTypeDict(type, pyname, descr);
                Py_DECREF(pyname);
                #else
                CYTHON_UNUSED_VAR(__Pyx__SetItemOnTypeDict);
                int set_item_result = PyDict_SetItem(type->tp_dict, PyDescr_NAME(descr), descr);
                #endif
                Py_DECREF(descr);
                if (unlikely(set_item_result < 0)) {
                    return -1;
                }
                changed = 1;
            }
            ++getset;
        }
    }
#else
    CYTHON_UNUSED_VAR(__Pyx__SetItemOnTypeDict);
#endif  // !CYTHON_COMPILING_IN_PYPY
    if (changed)
        PyType_Modified(type);
#endif  // PY_VERSION_HEX > 0x030900B1
    return 0;
}

/* AddModuleRef (used by FetchSharedCythonModule) */
#if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
  static PyObject *__Pyx_PyImport_AddModuleObjectRef(PyObject *name) {
      PyObject *module_dict = PyImport_GetModuleDict();
      PyObject *m;
      if (PyMapping_GetOptionalItem(module_dict, name, &m) < 0) {
          return NULL;
      }
      if (m != NULL && PyModule_Check(m)) {
          return m;
      }
      Py_XDECREF(m);
      m = PyModule_NewObject(name);
      if (m == NULL)
          return NULL;
      if (PyDict_CheckExact(module_dict)) {
          PyObject *new_m;
          (void)PyDict_SetDefaultRef(module_dict, name, m, &new_m);
          Py_DECREF(m);
          return new_m;
      } else {
           if (PyObject_SetItem(module_dict, name, m) != 0) {
                Py_DECREF(m);
                return NULL;
            }
            return m;
      }
  }
  static PyObject *__Pyx_PyImport_AddModuleRef(const char *name) {
      PyObject *py_name = PyUnicode_FromString(name);
      if (!py_name) return NULL;
      PyObject *module = __Pyx_PyImport_AddModuleObjectRef(py_name);
      Py_DECREF(py_name);
      return module;
  }
#elif __PYX_LIMITED_VERSION_HEX >= 0x030d0000
  #define __Pyx_PyImport_AddModuleRef(name) PyImport_AddModuleRef(name)
#else
  static PyObject *__Pyx_PyImport_AddModuleRef(const char *name) {
      PyObject *module = PyImport_AddModule(name);
      Py_XINCREF(module);
      return module;
  }
#endif

/* FetchSharedCythonModule (used by FetchCommonType) */
static PyObject *__Pyx_FetchSharedCythonABIModule(void) {
    return __Pyx_PyImport_AddModuleRef(__PYX_ABI_MODULE_NAME);
}

/* FetchCommonType (used by CommonTypesMetaclass) */
#if __PYX_LIMITED_VERSION_HEX < 0x030C0000
static PyObject* __Pyx_PyType_FromMetaclass(PyTypeObject *metaclass, PyObject *module, PyType_Spec *spec, PyObject *bases) {
    PyObject *result = __Pyx_PyType_FromModuleAndSpec(module, spec, bases);
    if (result && metaclass) {
        PyObject *old_tp = (PyObject*)Py_TYPE(result);
    Py_INCREF((PyObject*)metaclass);
#if __PYX_LIMITED_VERSION_HEX >= 0x03090000
        Py_SET_TYPE(result, metaclass);
#else
        result->ob_type = metaclass;
#endif
        Py_DECREF(old_tp);
    }
    return result;
}
#else
#define __Pyx_PyType_FromMetaclass(me, mo, s, b) PyType_FromMetaclass(me, mo, s, b)
#endif
static int __Pyx_VerifyCachedType(PyObject *cached_type,
                               const char *name,
                               Py_ssize_t expected_basicsize) {
    Py_ssize_t basicsize;
    if (!PyType_Check(cached_type)) {
        PyErr_Format(PyExc_TypeError,
            "Shared Cython type %.200s is not a type object", name);
        return -1;
    }
    if (expected_basicsize == 0) {
        return 0; // size is inherited, nothing useful to check
    }
#if CYTHON_COMPILING_IN_LIMITED_API
    PyObject *py_basicsize;
    py_basicsize = PyObject_GetAttrString(cached_type, "__basicsize__");
    if (unlikely(!py_basicsize)) return -1;
    basicsize = PyLong_AsSsize_t(py_basicsize);
    Py_DECREF(py_basicsize);
    py_basicsize = NULL;
    if (unlikely(basicsize == (Py_ssize_t)-1) && PyErr_Occurred()) return -1;
#else
    basicsize = ((PyTypeObject*) cached_type)->tp_basicsize;
#endif
    if (basicsize != expected_basicsize) {
        PyErr_Format(PyExc_TypeError,
            "Shared Cython type %.200s has the wrong size, try recompiling",
            name);
        return -1;
    }
    return 0;
}
static PyTypeObject *__Pyx_FetchCommonTypeFromSpec(PyTypeObject *metaclass, PyObject *module, PyType_Spec *spec, PyObject *bases) {
    PyObject *abi_module = NULL, *cached_type = NULL, *abi_module_dict, *new_cached_type, *py_object_name;
    int get_item_ref_result;
    const char* object_name = strrchr(spec->name, '.');
    object_name = object_name ? object_name+1 : spec->name;
    py_object_name = PyUnicode_FromString(object_name);
    if (!py_object_name) return NULL;
    abi_module = __Pyx_FetchSharedCythonABIModule();
    if (!abi_module) goto done;
    abi_module_dict = PyModule_GetDict(abi_module);
    if (!abi_module_dict) goto done;
    get_item_ref_result = __Pyx_PyDict_GetItemRef(abi_module_dict, py_object_name, &cached_type);
    if (get_item_ref_result == 1) {
        if (__Pyx_VerifyCachedType(
              cached_type,
              object_name,
              spec->basicsize) < 0) {
            goto bad;
        }
        goto done;
    } else if (unlikely(get_item_ref_result == -1)) {
        goto bad;
    }
    cached_type = __Pyx_PyType_FromMetaclass(
        metaclass,
        CYTHON_USE_MODULE_STATE ? module : abi_module,
        spec, bases);
    if (unlikely(!cached_type)) goto bad;
    if (unlikely(__Pyx_fix_up_extension_type_from_spec(spec, (PyTypeObject *) cached_type) < 0)) goto bad;
    new_cached_type = __Pyx_PyDict_SetDefault(abi_module_dict, py_object_name, cached_type);
    if (unlikely(new_cached_type != cached_type)) {
        if (unlikely(!new_cached_type)) goto bad;
        Py_DECREF(cached_type);
        cached_type = new_cached_type;
        if (__Pyx_VerifyCachedType(
                cached_type,
                object_name,
                spec->basicsize) < 0) {
            goto bad;
        }
        goto done;
    } else {
        Py_DECREF(new_cached_type);
    }
done:
    Py_XDECREF(abi_module);
    Py_DECREF(py_object_name);
    assert(cached_type == NULL || PyType_Check(cached_type));
    return (PyTypeObject *) cached_type;
bad:
    Py_XDECREF(cached_type);
    cached_type = NULL;
    goto done;
}

/* CommonTypesMetaclass (used by CythonFunctionShared) */
static PyObject* __pyx_CommonTypesMetaclass_get_module(CYTHON_UNUSED PyObject *self, CYTHON_UNUSED void* context) {
    return PyUnicode_FromString(__PYX_ABI_MODULE_NAME);
}
#if __PYX_LIMITED_VERSION_HEX < 0x030A0000
static PyObject* __pyx_CommonTypesMetaclass_call(CYTHON_UNUSED PyObject *self, CYTHON_UNUSED PyObject *args, CYTHON_UNUSED PyObject *kwds) {
    PyErr_SetString(PyExc_TypeError, "Cannot instantiate Cython internal types");
    return NULL;
}
static int __pyx_CommonTypesMetaclass_setattr(CYTHON_UNUSED PyObject *self, CYTHON_UNUSED PyObject *attr, CYTHON_UNUSED PyObject *value) {
    PyErr_SetString(PyExc_TypeError, "Cython internal types are immutable");
    return -1;
}
#endif
static PyGetSetDef __pyx_CommonTypesMetaclass_getset[] = {
    {"__module__", __pyx_CommonTypesMetaclass_get_module, NULL, NULL, NULL},
    {0, 0, 0, 0, 0}
};
static PyType_Slot __pyx_CommonTypesMetaclass_slots[] = {
    {Py_tp_getset, (void *)__pyx_CommonTypesMetaclass_getset},
    #if __PYX_LIMITED_VERSION_HEX < 0x030A0000
    {Py_tp_call, (void*)__pyx_CommonTypesMetaclass_call},
    {Py_tp_new, (void*)__pyx_CommonTypesMetaclass_call},
    {Py_tp_setattro, (void*)__pyx_CommonTypesMetaclass_setattr},
    #endif
    {0, 0}
};
static PyType_Spec __pyx_CommonTypesMetaclass_spec = {
    __PYX_TYPE_MODULE_PREFIX "_common_types_metatype",
    0,
    0,
    Py_TPFLAGS_IMMUTABLETYPE |
    Py_TPFLAGS_DISALLOW_INSTANTIATION |
    Py_TPFLAGS_DEFAULT,
    __pyx_CommonTypesMetaclass_slots
};
static int __pyx_CommonTypesMetaclass_init(PyObject *module) {
    __pyx_mstatetype *mstate = __Pyx_PyModule_GetState(module);
    PyObject *bases = PyTuple_Pack(1, &PyType_Type);
    if (unlikely(!bases)) {
        return -1;
    }
    mstate->__pyx_CommonTypesMetaclassType = __Pyx_FetchCommonTypeFromSpec(NULL, module, &__pyx_CommonTypesMetaclass_spec, bases);
    Py_DECREF(bases);
    if (unlikely(mstate->__pyx_CommonTypesMetaclassType == NULL)) {
        return -1;
    }
    return 0;
}

/* CallTypeTraverse (used by CythonFunctionShared) */
#if !CYTHON_USE_TYPE_SPECS || (!CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x03090000)
#else
static int __Pyx_call_type_traverse(PyObject *o, int always_call, visitproc visit, void *arg) {
    #if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x03090000
    if (__Pyx_get_runtime_version() < 0x03090000) return 0;
    #endif
    if (!always_call) {
        PyTypeObject *base = __Pyx_PyObject_GetSlot(o, tp_base, PyTypeObject*);
        unsigned long flags = PyType_GetFlags(base);
        if (flags & Py_TPFLAGS_HEAPTYPE) {
            return 0;
        }
    }
    Py_VISIT((PyObject*)Py_TYPE(o));
    return 0;
}
#endif

/* PyMethodNew (used by CythonFunctionShared) */
#if CYTHON_COMPILING_IN_LIMITED_API
static PyObject *__Pyx_PyMethod_New(PyObject *func, PyObject *self, PyObject *typ) {
    PyObject *result;
    CYTHON_UNUSED_VAR(typ);
    if (!self)
        return __Pyx_NewRef(func);
    #if __PYX_LIMITED_VERSION_HEX >= 0x030C0000
    {
        PyObject *args[] = {func, self};
        result = PyObject_Vectorcall(__pyx_mstate_global->__Pyx_CachedMethodType, args, 2, NULL);
    }
    #else
    result = PyObject_CallFunctionObjArgs(__pyx_mstate_global->__Pyx_CachedMethodType, func, self, NULL);
    #endif
    return result;
}
#else
static PyObject *__Pyx_PyMethod_New(PyObject *func, PyObject *self, PyObject *typ) {
    CYTHON_UNUSED_VAR(typ);
    if (!self)
        return __Pyx_NewRef(func);
    return PyMethod_New(func, self);
}
#endif

/* PyVectorcallFastCallDict (used by CythonFunctionShared) */
#if CYTHON_METH_FASTCALL && CYTHON_VECTORCALL
static PyObject *__Pyx_PyVectorcall_FastCallDict_kw(PyObject *func, __pyx_vectorcallfunc vc, PyObject *const *args, size_t nargs, PyObject *kw)
{
    PyObject *res = NULL;
    PyObject *kwnames;
    PyObject **newargs;
    PyObject **kwvalues;
    Py_ssize_t i;
    #if CYTHON_AVOID_BORROWED_REFS
    PyObject *pos;
    #else
    Py_ssize_t pos;
    #endif
    size_t j;
    PyObject *key, *value;
    unsigned long keys_are_strings;
    #if !CYTHON_ASSUME_SAFE_SIZE
    Py_ssize_t nkw = PyDict_Size(kw);
    if (unlikely(nkw == -1)) return NULL;
    #else
    Py_ssize_t nkw = PyDict_GET_SIZE(kw);
    #endif
    newargs = (PyObject **)PyMem_Malloc((nargs + (size_t)nkw) * sizeof(args[0]));
    if (unlikely(newargs == NULL)) {
        PyErr_NoMemory();
        return NULL;
    }
    for (j = 0; j < nargs; j++) newargs[j] = args[j];
    kwnames = PyTuple_New(nkw);
    if (unlikely(kwnames == NULL)) {
        PyMem_Free(newargs);
        return NULL;
    }
    kwvalues = newargs + nargs;
    pos = 0;
    i = 0;
    keys_are_strings = Py_TPFLAGS_UNICODE_SUBCLASS;
    while (__Pyx_PyDict_NextRef(kw, &pos, &key, &value)) {
        keys_are_strings &=
        #if CYTHON_COMPILING_IN_LIMITED_API
            PyType_GetFlags(Py_TYPE(key));
        #else
            Py_TYPE(key)->tp_flags;
        #endif
        #if !CYTHON_ASSUME_SAFE_MACROS
        if (unlikely(PyTuple_SetItem(kwnames, i, key) < 0)) goto cleanup;
        #else
        PyTuple_SET_ITEM(kwnames, i, key);
        #endif
        kwvalues[i] = value;
        i++;
    }
    if (unlikely(!keys_are_strings)) {
        PyErr_SetString(PyExc_TypeError, "keywords must be strings");
        goto cleanup;
    }
    res = vc(func, newargs, nargs, kwnames);
cleanup:
    #if CYTHON_AVOID_BORROWED_REFS
    Py_DECREF(pos);
    #endif
    Py_DECREF(kwnames);
    for (i = 0; i < nkw; i++)
        Py_DECREF(kwvalues[i]);
    PyMem_Free(newargs);
    return res;
}
static CYTHON_INLINE PyObject *__Pyx_PyVectorcall_FastCallDict(PyObject *func, __pyx_vectorcallfunc vc, PyObject *const *args, size_t nargs, PyObject *kw)
{
    Py_ssize_t kw_size =
        likely(kw == NULL) ?
        0 :
#if !CYTHON_ASSUME_SAFE_SIZE
        PyDict_Size(kw);
#else
        PyDict_GET_SIZE(kw);
#endif
    if (kw_size == 0) {
        return vc(func, args, nargs, NULL);
    }
#if !CYTHON_ASSUME_SAFE_SIZE
    else if (unlikely(kw_size == -1)) {
        return NULL;
    }
#endif
    return __Pyx_PyVectorcall_FastCallDict_kw(func, vc, args, nargs, kw);
}
#endif

/* CythonFunctionShared (used by CythonFunction) */
#if CYTHON_COMPILING_IN_LIMITED_API
static CYTHON_INLINE int __Pyx__IsSameCyOrCFunctionNoMethod(PyObject *func, void (*cfunc)(void)) {
    if (__Pyx_CyFunction_Check(func)) {
        return PyCFunction_GetFunction(((__pyx_CyFunctionObject*)func)->func) == (PyCFunction) cfunc;
    } else if (PyCFunction_Check(func)) {
        return PyCFunction_GetFunction(func) == (PyCFunction) cfunc;
    }
    return 0;
}
static CYTHON_INLINE int __Pyx__IsSameCyOrCFunction(PyObject *func, void (*cfunc)(void)) {
    if ((PyObject*)Py_TYPE(func) == __pyx_mstate_global->__Pyx_CachedMethodType) {
        int result;
        PyObject *newFunc = PyObject_GetAttr(func, __pyx_mstate_global->__pyx_n_u_func);
        if (unlikely(!newFunc)) {
            PyErr_Clear(); // It's only an optimization, so don't throw an error
            return 0;
        }
        result = __Pyx__IsSameCyOrCFunctionNoMethod(newFunc, cfunc);
        Py_DECREF(newFunc);
        return result;
    }
    return __Pyx__IsSameCyOrCFunctionNoMethod(func, cfunc);
}
#else
static CYTHON_INLINE int __Pyx__IsSameCyOrCFunction(PyObject *func, void (*cfunc)(void)) {
    if (PyMethod_Check(func)) {
        func = PyMethod_GET_FUNCTION(func);
    }
    return __Pyx_CyOrPyCFunction_Check(func) && __Pyx_CyOrPyCFunction_GET_FUNCTION(func) == (PyCFunction) cfunc;
}
#endif
static CYTHON_INLINE void __Pyx__CyFunction_SetClassObj(__pyx_CyFunctionObject* f, PyObject* classobj) {
#if PY_VERSION_HEX < 0x030900B1 || CYTHON_COMPILING_IN_LIMITED_API
    __Pyx_Py_XDECREF_SET(
        __Pyx_CyFunction_GetClassObj(f),
            ((classobj) ? __Pyx_NewRef(classobj) : NULL));
#else
    __Pyx_Py_XDECREF_SET(
        ((PyCMethodObject *) (f))->mm_class,
        (PyTypeObject*)((classobj) ? __Pyx_NewRef(classobj) : NULL));
#endif
}
static PyObject *
__Pyx_CyFunction_get_doc_locked(__pyx_CyFunctionObject *op)
{
    if (unlikely(op->func_doc == NULL)) {
#if CYTHON_COMPILING_IN_LIMITED_API
        op->func_doc = PyObject_GetAttrString(op->func, "__doc__");
        if (unlikely(!op->func_doc)) return NULL;
#else
        if (((PyCFunctionObject*)op)->m_ml->ml_doc) {
            op->func_doc = PyUnicode_FromString(((PyCFunctionObject*)op)->m_ml->ml_doc);
            if (unlikely(op->func_doc == NULL))
                return NULL;
        } else {
            Py_INCREF(Py_None);
            return Py_None;
        }
#endif
    }
    Py_INCREF(op->func_doc);
    return op->func_doc;
}
static PyObject *
__Pyx_CyFunction_get_doc(__pyx_CyFunctionObject *op, void *closure) {
    PyObject *result;
    CYTHON_UNUSED_VAR(closure);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    result = __Pyx_CyFunction_get_doc_locked(op);
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static int
__Pyx_CyFunction_set_doc(__pyx_CyFunctionObject *op, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
    if (value == NULL) {
        value = Py_None;
    }
    Py_INCREF(value);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    __Pyx_Py_XDECREF_SET(op->func_doc, value);
    __Pyx_END_CRITICAL_SECTION();
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_name_locked(__pyx_CyFunctionObject *op)
{
    if (unlikely(op->func_name == NULL)) {
#if CYTHON_COMPILING_IN_LIMITED_API
        op->func_name = PyObject_GetAttrString(op->func, "__name__");
#else
        op->func_name = PyUnicode_InternFromString(((PyCFunctionObject*)op)->m_ml->ml_name);
#endif
        if (unlikely(op->func_name == NULL))
            return NULL;
    }
    Py_INCREF(op->func_name);
    return op->func_name;
}
static PyObject *
__Pyx_CyFunction_get_name(__pyx_CyFunctionObject *op, void *context)
{
    PyObject *result = NULL;
    CYTHON_UNUSED_VAR(context);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    result = __Pyx_CyFunction_get_name_locked(op);
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static int
__Pyx_CyFunction_set_name(__pyx_CyFunctionObject *op, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
    if (unlikely(value == NULL || !PyUnicode_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__name__ must be set to a string object");
        return -1;
    }
    Py_INCREF(value);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    __Pyx_Py_XDECREF_SET(op->func_name, value);
    __Pyx_END_CRITICAL_SECTION();
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_qualname(__pyx_CyFunctionObject *op, void *context)
{
    CYTHON_UNUSED_VAR(context);
    PyObject *result;
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    Py_INCREF(op->func_qualname);
    result = op->func_qualname;
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static int
__Pyx_CyFunction_set_qualname(__pyx_CyFunctionObject *op, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(context);
    if (unlikely(value == NULL || !PyUnicode_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__qualname__ must be set to a string object");
        return -1;
    }
    Py_INCREF(value);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    __Pyx_Py_XDECREF_SET(op->func_qualname, value);
    __Pyx_END_CRITICAL_SECTION();
    return 0;
}
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
static PyObject *
__Pyx_CyFunction_get_dict(__pyx_CyFunctionObject *op, void *context)
{
    CYTHON_UNUSED_VAR(context);
    if (unlikely(op->func_dict == NULL)) {
        op->func_dict = PyDict_New();
        if (unlikely(op->func_dict == NULL))
            return NULL;
    }
    Py_INCREF(op->func_dict);
    return op->func_dict;
}
#endif
static PyObject *
__Pyx_CyFunction_get_globals(__pyx_CyFunctionObject *op, void *context)
{
    CYTHON_UNUSED_VAR(context);
    Py_INCREF(op->func_globals);
    return op->func_globals;
}
static PyObject *
__Pyx_CyFunction_get_closure(__pyx_CyFunctionObject *op, void *context)
{
    CYTHON_UNUSED_VAR(op);
    CYTHON_UNUSED_VAR(context);
    Py_INCREF(Py_None);
    return Py_None;
}
static PyObject *
__Pyx_CyFunction_get_code(__pyx_CyFunctionObject *op, void *context)
{
    PyObject* result = (op->func_code) ? op->func_code : Py_None;
    CYTHON_UNUSED_VAR(context);
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_init_defaults(__pyx_CyFunctionObject *op) {
    int result = 0;
    PyObject *res = op->defaults_getter((PyObject *) op);
    if (unlikely(!res))
        return -1;
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    op->defaults_tuple = PyTuple_GET_ITEM(res, 0);
    Py_INCREF(op->defaults_tuple);
    op->defaults_kwdict = PyTuple_GET_ITEM(res, 1);
    Py_INCREF(op->defaults_kwdict);
    #else
    op->defaults_tuple = __Pyx_PySequence_ITEM(res, 0);
    if (unlikely(!op->defaults_tuple)) result = -1;
    else {
        op->defaults_kwdict = __Pyx_PySequence_ITEM(res, 1);
        if (unlikely(!op->defaults_kwdict)) result = -1;
    }
    #endif
    Py_DECREF(res);
    return result;
}
static int
__Pyx_CyFunction_set_defaults(__pyx_CyFunctionObject *op, PyObject* value, void *context) {
    CYTHON_UNUSED_VAR(context);
    if (!value) {
        value = Py_None;
    } else if (unlikely(value != Py_None && !PyTuple_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__defaults__ must be set to a tuple object");
        return -1;
    }
    PyErr_WarnEx(PyExc_RuntimeWarning, "changes to cyfunction.__defaults__ will not "
                 "currently affect the values used in function calls", 1);
    Py_INCREF(value);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    __Pyx_Py_XDECREF_SET(op->defaults_tuple, value);
    __Pyx_END_CRITICAL_SECTION();
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_defaults_locked(__pyx_CyFunctionObject *op) {
    PyObject* result = op->defaults_tuple;
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (unlikely(__Pyx_CyFunction_init_defaults(op) < 0)) return NULL;
            result = op->defaults_tuple;
        } else {
            result = Py_None;
        }
    }
    Py_INCREF(result);
    return result;
}
static PyObject *
__Pyx_CyFunction_get_defaults(__pyx_CyFunctionObject *op, void *context) {
    PyObject* result = NULL;
    CYTHON_UNUSED_VAR(context);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    result = __Pyx_CyFunction_get_defaults_locked(op);
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static int
__Pyx_CyFunction_set_kwdefaults(__pyx_CyFunctionObject *op, PyObject* value, void *context) {
    CYTHON_UNUSED_VAR(context);
    if (!value) {
        value = Py_None;
    } else if (unlikely(value != Py_None && !PyDict_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__kwdefaults__ must be set to a dict object");
        return -1;
    }
    PyErr_WarnEx(PyExc_RuntimeWarning, "changes to cyfunction.__kwdefaults__ will not "
                 "currently affect the values used in function calls", 1);
    Py_INCREF(value);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    __Pyx_Py_XDECREF_SET(op->defaults_kwdict, value);
    __Pyx_END_CRITICAL_SECTION();
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_kwdefaults_locked(__pyx_CyFunctionObject *op) {
    PyObject* result = op->defaults_kwdict;
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (unlikely(__Pyx_CyFunction_init_defaults(op) < 0)) return NULL;
            result = op->defaults_kwdict;
        } else {
            result = Py_None;
        }
    }
    Py_INCREF(result);
    return result;
}
static PyObject *
__Pyx_CyFunction_get_kwdefaults(__pyx_CyFunctionObject *op, void *context) {
    PyObject* result;
    CYTHON_UNUSED_VAR(context);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    result = __Pyx_CyFunction_get_kwdefaults_locked(op);
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static int
__Pyx_CyFunction_set_annotations(__pyx_CyFunctionObject *op, PyObject* value, void *context) {
    CYTHON_UNUSED_VAR(context);
    if (!value || value == Py_None) {
        value = NULL;
    } else if (unlikely(!PyDict_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__annotations__ must be set to a dict object");
        return -1;
    }
    Py_XINCREF(value);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    __Pyx_Py_XDECREF_SET(op->func_annotations, value);
    __Pyx_END_CRITICAL_SECTION();
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_annotations_locked(__pyx_CyFunctionObject *op) {
    PyObject* result = op->func_annotations;
    if (unlikely(!result)) {
        result = PyDict_New();
        if (unlikely(!result)) return NULL;
        op->func_annotations = result;
    }
    Py_INCREF(result);
    return result;
}
static PyObject *
__Pyx_CyFunction_get_annotations(__pyx_CyFunctionObject *op, void *context) {
    PyObject *result;
    CYTHON_UNUSED_VAR(context);
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    result = __Pyx_CyFunction_get_annotations_locked(op);
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static PyObject *
__Pyx_CyFunction_get_is_coroutine_value(__pyx_CyFunctionObject *op) {
    int is_coroutine = op->flags & __Pyx_CYFUNCTION_COROUTINE;
    if (is_coroutine) {
        PyObject *is_coroutine_value, *module, *fromlist, *marker = __pyx_mstate_global->__pyx_n_u_is_coroutine;
        fromlist = PyList_New(1);
        if (unlikely(!fromlist)) return NULL;
        Py_INCREF(marker);
#if CYTHON_ASSUME_SAFE_MACROS
        PyList_SET_ITEM(fromlist, 0, marker);
#else
        if (unlikely(PyList_SetItem(fromlist, 0, marker) < 0)) {
            Py_DECREF(marker);
            Py_DECREF(fromlist);
            return NULL;
        }
#endif
        module = PyImport_ImportModuleLevelObject(__pyx_mstate_global->__pyx_n_u_asyncio_coroutines, NULL, NULL, fromlist, 0);
        Py_DECREF(fromlist);
        if (unlikely(!module)) goto ignore;
        is_coroutine_value = __Pyx_PyObject_GetAttrStr(module, marker);
        Py_DECREF(module);
        if (likely(is_coroutine_value)) {
            return is_coroutine_value;
        }
ignore:
        PyErr_Clear();
    }
    return __Pyx_PyBool_FromLong(is_coroutine);
}
static PyObject *
__Pyx_CyFunction_get_is_coroutine(__pyx_CyFunctionObject *op, void *context) {
    PyObject *result;
    CYTHON_UNUSED_VAR(context);
    if (op->func_is_coroutine) {
        return __Pyx_NewRef(op->func_is_coroutine);
    }
    result = __Pyx_CyFunction_get_is_coroutine_value(op);
    if (unlikely(!result))
        return NULL;
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    if (op->func_is_coroutine) {
        Py_DECREF(result);
        result = __Pyx_NewRef(op->func_is_coroutine);
    } else {
        op->func_is_coroutine = __Pyx_NewRef(result);
    }
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static void __Pyx_CyFunction_raise_argument_count_error(__pyx_CyFunctionObject *func, const char* message, Py_ssize_t size) {
#if CYTHON_COMPILING_IN_LIMITED_API
    PyObject *py_name = __Pyx_CyFunction_get_name(func, NULL);
    if (!py_name) return;
    PyErr_Format(PyExc_TypeError,
        "%.200S() %s (%" CYTHON_FORMAT_SSIZE_T "d given)",
        py_name, message, size);
    Py_DECREF(py_name);
#else
    const char* name = ((PyCFunctionObject*)func)->m_ml->ml_name;
    PyErr_Format(PyExc_TypeError,
        "%.200s() %s (%" CYTHON_FORMAT_SSIZE_T "d given)",
        name, message, size);
#endif
}
static void __Pyx_CyFunction_raise_type_error(__pyx_CyFunctionObject *func, const char* message) {
#if CYTHON_COMPILING_IN_LIMITED_API
    PyObject *py_name = __Pyx_CyFunction_get_name(func, NULL);
    if (!py_name) return;
    PyErr_Format(PyExc_TypeError,
        "%.200S() %s",
        py_name, message);
    Py_DECREF(py_name);
#else
    const char* name = ((PyCFunctionObject*)func)->m_ml->ml_name;
    PyErr_Format(PyExc_TypeError,
        "%.200s() %s",
        name, message);
#endif
}
#if CYTHON_COMPILING_IN_LIMITED_API
static PyObject *
__Pyx_CyFunction_get_module(__pyx_CyFunctionObject *op, void *context) {
    CYTHON_UNUSED_VAR(context);
    return PyObject_GetAttrString(op->func, "__module__");
}
static int
__Pyx_CyFunction_set_module(__pyx_CyFunctionObject *op, PyObject* value, void *context) {
    CYTHON_UNUSED_VAR(context);
    return PyObject_SetAttrString(op->func, "__module__", value);
}
#endif
static PyGetSetDef __pyx_CyFunction_getsets[] = {
    {"func_doc", (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {"__doc__",  (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {"func_name", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {"__name__", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {"__qualname__", (getter)__Pyx_CyFunction_get_qualname, (setter)__Pyx_CyFunction_set_qualname, 0, 0},
#if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
    {"func_dict", (getter)__Pyx_CyFunction_get_dict, (setter)PyObject_GenericSetDict, 0, 0},
    {"__dict__", (getter)__Pyx_CyFunction_get_dict, (setter)PyObject_GenericSetDict, 0, 0},
#else
    {"func_dict", (getter)PyObject_GenericGetDict, (setter)PyObject_GenericSetDict, 0, 0},
    {"__dict__", (getter)PyObject_GenericGetDict, (setter)PyObject_GenericSetDict, 0, 0},
#endif
    {"func_globals", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {"__globals__", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {"func_closure", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {"__closure__", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {"func_code", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {"__code__", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {"func_defaults", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {"__defaults__", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {"__kwdefaults__", (getter)__Pyx_CyFunction_get_kwdefaults, (setter)__Pyx_CyFunction_set_kwdefaults, 0, 0},
    {"__annotations__", (getter)__Pyx_CyFunction_get_annotations, (setter)__Pyx_CyFunction_set_annotations, 0, 0},
    {"_is_coroutine", (getter)__Pyx_CyFunction_get_is_coroutine, 0, 0, 0},
#if CYTHON_COMPILING_IN_LIMITED_API
    {"__module__", (getter)__Pyx_CyFunction_get_module, (setter)__Pyx_CyFunction_set_module, 0, 0},
#endif
    {0, 0, 0, 0, 0}
};
static PyMemberDef __pyx_CyFunction_members[] = {
#if !CYTHON_COMPILING_IN_LIMITED_API
    {"__module__", T_OBJECT, offsetof(PyCFunctionObject, m_module), 0, 0},
#endif
#if PY_VERSION_HEX < 0x030C0000 || CYTHON_COMPILING_IN_LIMITED_API
    {"__dictoffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_dict), READONLY, 0},
#endif
#if CYTHON_METH_FASTCALL
#if CYTHON_COMPILING_IN_LIMITED_API
    {"__vectorcalloffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_vectorcall), READONLY, 0},
#else
    {"__vectorcalloffset__", T_PYSSIZET, offsetof(PyCFunctionObject, vectorcall), READONLY, 0},
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
    {"__weaklistoffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_weakreflist), READONLY, 0},
#else
    {"__weaklistoffset__", T_PYSSIZET, offsetof(PyCFunctionObject, m_weakreflist), READONLY, 0},
#endif
#endif
    {0, 0, 0,  0, 0}
};
static PyObject *
__Pyx_CyFunction_reduce(__pyx_CyFunctionObject *m, PyObject *args)
{
    PyObject *result = NULL;
    CYTHON_UNUSED_VAR(args);
    __Pyx_BEGIN_CRITICAL_SECTION(m);
    Py_INCREF(m->func_qualname);
    result = m->func_qualname;
    __Pyx_END_CRITICAL_SECTION();
    return result;
}
static PyMethodDef __pyx_CyFunction_methods[] = {
    {"__reduce__", (PyCFunction)__Pyx_CyFunction_reduce, METH_VARARGS, 0},
    {0, 0, 0, 0}
};
#if CYTHON_COMPILING_IN_LIMITED_API
#define __Pyx_CyFunction_weakreflist(cyfunc) ((cyfunc)->func_weakreflist)
#else
#define __Pyx_CyFunction_weakreflist(cyfunc) (((PyCFunctionObject*)cyfunc)->m_weakreflist)
#endif
static PyObject *__Pyx_CyFunction_Init(__pyx_CyFunctionObject *op, PyMethodDef *ml, int flags, PyObject* qualname,
                                       PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {
#if !CYTHON_COMPILING_IN_LIMITED_API
    PyCFunctionObject *cf = (PyCFunctionObject*) op;
#endif
    if (unlikely(op == NULL))
        return NULL;
#if CYTHON_COMPILING_IN_LIMITED_API
    op->func = PyCFunction_NewEx(ml, (PyObject*)op, module);
    if (unlikely(!op->func)) return NULL;
#endif
    op->flags = flags;
    __Pyx_CyFunction_weakreflist(op) = NULL;
#if !CYTHON_COMPILING_IN_LIMITED_API
    cf->m_ml = ml;
    cf->m_self = (PyObject *) op;
#endif
    Py_XINCREF(closure);
    op->func_closure = closure;
#if !CYTHON_COMPILING_IN_LIMITED_API
    Py_XINCREF(module);
    cf->m_module = module;
#endif
#if PY_VERSION_HEX < 0x030C0000 || CYTHON_COMPILING_IN_LIMITED_API
    op->func_dict = NULL;
#endif
    op->func_name = NULL;
    Py_INCREF(qualname);
    op->func_qualname = qualname;
    op->func_doc = NULL;
#if PY_VERSION_HEX < 0x030900B1 || CYTHON_COMPILING_IN_LIMITED_API
    op->func_classobj = NULL;
#else
    ((PyCMethodObject*)op)->mm_class = NULL;
#endif
    op->func_globals = globals;
    Py_INCREF(op->func_globals);
    Py_XINCREF(code);
    op->func_code = code;
    op->defaults = NULL;
    op->defaults_tuple = NULL;
    op->defaults_kwdict = NULL;
    op->defaults_getter = NULL;
    op->func_annotations = NULL;
    op->func_is_coroutine = NULL;
#if CYTHON_METH_FASTCALL
    switch (ml->ml_flags & (METH_VARARGS | METH_FASTCALL | METH_NOARGS | METH_O | METH_KEYWORDS | METH_METHOD)) {
    case METH_NOARGS:
        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_NOARGS;
        break;
    case METH_O:
        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_O;
        break;
    case METH_METHOD | METH_FASTCALL | METH_KEYWORDS:
        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS_METHOD;
        break;
    case METH_FASTCALL | METH_KEYWORDS:
        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS;
        break;
    case METH_VARARGS | METH_KEYWORDS:
        __Pyx_CyFunction_func_vectorcall(op) = NULL;
        break;
    default:
        PyErr_SetString(PyExc_SystemError, "Bad call flags for CyFunction");
        Py_DECREF(op);
        return NULL;
    }
#endif
    return (PyObject *) op;
}
static int
__Pyx_CyFunction_clear(__pyx_CyFunctionObject *m)
{
    Py_CLEAR(m->func_closure);
#if CYTHON_COMPILING_IN_LIMITED_API
    Py_CLEAR(m->func);
#else
    Py_CLEAR(((PyCFunctionObject*)m)->m_module);
#endif
#if PY_VERSION_HEX < 0x030C0000 || CYTHON_COMPILING_IN_LIMITED_API
    Py_CLEAR(m->func_dict);
#elif PY_VERSION_HEX < 0x030d0000
    _PyObject_ClearManagedDict((PyObject*)m);
#else
    PyObject_ClearManagedDict((PyObject*)m);
#endif
    Py_CLEAR(m->func_name);
    Py_CLEAR(m->func_qualname);
    Py_CLEAR(m->func_doc);
    Py_CLEAR(m->func_globals);
    Py_CLEAR(m->func_code);
#if !CYTHON_COMPILING_IN_LIMITED_API
#if PY_VERSION_HEX < 0x030900B1
    Py_CLEAR(__Pyx_CyFunction_GetClassObj(m));
#else
    {
        PyObject *cls = (PyObject*) ((PyCMethodObject *) (m))->mm_class;
        ((PyCMethodObject *) (m))->mm_class = NULL;
        Py_XDECREF(cls);
    }
#endif
#endif
    Py_CLEAR(m->defaults_tuple);
    Py_CLEAR(m->defaults_kwdict);
    Py_CLEAR(m->func_annotations);
    Py_CLEAR(m->func_is_coroutine);
    Py_CLEAR(m->defaults);
    return 0;
}
static void __Pyx__CyFunction_dealloc(__pyx_CyFunctionObject *m)
{
    if (__Pyx_CyFunction_weakreflist(m) != NULL)
        PyObject_ClearWeakRefs((PyObject *) m);
    __Pyx_CyFunction_clear(m);
    __Pyx_PyHeapTypeObject_GC_Del(m);
}
static void __Pyx_CyFunction_dealloc(__pyx_CyFunctionObject *m)
{
    PyObject_GC_UnTrack(m);
    __Pyx__CyFunction_dealloc(m);
}
static int __Pyx_CyFunction_traverse(__pyx_CyFunctionObject *m, visitproc visit, void *arg)
{
    {
        int e = __Pyx_call_type_traverse((PyObject*)m, 1, visit, arg);
        if (e) return e;
    }
    Py_VISIT(m->func_closure);
#if CYTHON_COMPILING_IN_LIMITED_API
    Py_VISIT(m->func);
#else
    Py_VISIT(((PyCFunctionObject*)m)->m_module);
#endif
#if PY_VERSION_HEX < 0x030C0000 || CYTHON_COMPILING_IN_LIMITED_API
    Py_VISIT(m->func_dict);
#else
    {
        int e =
#if PY_VERSION_HEX < 0x030d0000
            _PyObject_VisitManagedDict
#else
            PyObject_VisitManagedDict
#endif
                ((PyObject*)m, visit, arg);
        if (e != 0) return e;
    }
#endif
    __Pyx_VISIT_CONST(m->func_name);
    __Pyx_VISIT_CONST(m->func_qualname);
    Py_VISIT(m->func_doc);
    Py_VISIT(m->func_globals);
    __Pyx_VISIT_CONST(m->func_code);
#if !CYTHON_COMPILING_IN_LIMITED_API
    Py_VISIT(__Pyx_CyFunction_GetClassObj(m));
#endif
    Py_VISIT(m->defaults_tuple);
    Py_VISIT(m->defaults_kwdict);
    Py_VISIT(m->func_is_coroutine);
    Py_VISIT(m->defaults);
    return 0;
}
static PyObject*
__Pyx_CyFunction_repr(__pyx_CyFunctionObject *op)
{
    PyObject *repr;
    __Pyx_BEGIN_CRITICAL_SECTION(op);
    repr = PyUnicode_FromFormat("<cyfunction %U at %p>",
                                op->func_qualname, (void *)op);
    __Pyx_END_CRITICAL_SECTION();
    return repr;
}
static PyObject * __Pyx_CyFunction_CallMethod(PyObject *func, PyObject *self, PyObject *arg, PyObject *kw) {
#if CYTHON_COMPILING_IN_LIMITED_API
    PyObject *f = ((__pyx_CyFunctionObject*)func)->func;
    PyCFunction meth;
    int flags;
    meth = PyCFunction_GetFunction(f);
    if (unlikely(!meth)) return NULL;
    flags = PyCFunction_GetFlags(f);
    if (unlikely(flags < 0)) return NULL;
#else
    PyCFunctionObject* f = (PyCFunctionObject*)func;
    PyCFunction meth = f->m_ml->ml_meth;
    int flags = f->m_ml->ml_flags;
#endif
    Py_ssize_t size;
    switch (flags & (METH_VARARGS | METH_KEYWORDS | METH_NOARGS | METH_O)) {
    case METH_VARARGS:
        if (likely(kw == NULL || PyDict_Size(kw) == 0))
            return (*meth)(self, arg);
        break;
    case METH_VARARGS | METH_KEYWORDS:
        return (*(PyCFunctionWithKeywords)(void(*)(void))meth)(self, arg, kw);
    case METH_NOARGS:
        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
#if CYTHON_ASSUME_SAFE_SIZE
            size = PyTuple_GET_SIZE(arg);
#else
            size = PyTuple_Size(arg);
            if (unlikely(size < 0)) return NULL;
#endif
            if (likely(size == 0))
                return (*meth)(self, NULL);
            __Pyx_CyFunction_raise_argument_count_error(
                (__pyx_CyFunctionObject*)func,
                "takes no arguments", size);
            return NULL;
        }
        break;
    case METH_O:
        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
#if CYTHON_ASSUME_SAFE_SIZE
            size = PyTuple_GET_SIZE(arg);
#else
            size = PyTuple_Size(arg);
            if (unlikely(size < 0)) return NULL;
#endif
            if (likely(size == 1)) {
                PyObject *result, *arg0;
                #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
                arg0 = PyTuple_GET_ITEM(arg, 0);
                #else
                arg0 = __Pyx_PySequence_ITEM(arg, 0); if (unlikely(!arg0)) return NULL;
                #endif
                result = (*meth)(self, arg0);
                #if !(CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)
                Py_DECREF(arg0);
                #endif
                return result;
            }
            __Pyx_CyFunction_raise_argument_count_error(
                (__pyx_CyFunctionObject*)func,
                "takes exactly one argument", size);
            return NULL;
        }
        break;
    default:
        PyErr_SetString(PyExc_SystemError, "Bad call flags for CyFunction");
        return NULL;
    }
    __Pyx_CyFunction_raise_type_error(
        (__pyx_CyFunctionObject*)func, "takes no keyword arguments");
    return NULL;
}
static CYTHON_INLINE PyObject *__Pyx_CyFunction_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    PyObject *self, *result;
#if CYTHON_COMPILING_IN_LIMITED_API
    self = PyCFunction_GetSelf(((__pyx_CyFunctionObject*)func)->func);
    if (unlikely(!self) && PyErr_Occurred()) return NULL;
#else
    self = ((PyCFunctionObject*)func)->m_self;
#endif
    result = __Pyx_CyFunction_CallMethod(func, self, arg, kw);
    return result;
}
static PyObject *__Pyx_CyFunction_CallAsMethod(PyObject *func, PyObject *args, PyObject *kw) {
    PyObject *result;
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *) func;
#if CYTHON_METH_FASTCALL && CYTHON_VECTORCALL
     __pyx_vectorcallfunc vc = __Pyx_CyFunction_func_vectorcall(cyfunc);
    if (vc) {
#if CYTHON_ASSUME_SAFE_MACROS && CYTHON_ASSUME_SAFE_SIZE
        return __Pyx_PyVectorcall_FastCallDict(func, vc, &PyTuple_GET_ITEM(args, 0), (size_t)PyTuple_GET_SIZE(args), kw);
#else
        (void) &__Pyx_PyVectorcall_FastCallDict;
        return PyVectorcall_Call(func, args, kw);
#endif
    }
#endif
    if ((cyfunc->flags & __Pyx_CYFUNCTION_CCLASS) && !(cyfunc->flags & __Pyx_CYFUNCTION_STATICMETHOD)) {
        Py_ssize_t argc;
        PyObject *new_args;
        PyObject *self;
#if CYTHON_ASSUME_SAFE_SIZE
        argc = PyTuple_GET_SIZE(args);
#else
        argc = PyTuple_Size(args);
        if (unlikely(argc < 0)) return NULL;
#endif
        new_args = PyTuple_GetSlice(args, 1, argc);
        if (unlikely(!new_args))
            return NULL;
        self = PyTuple_GetItem(args, 0);
        if (unlikely(!self)) {
            Py_DECREF(new_args);
            PyErr_Format(PyExc_TypeError,
                         "unbound method %.200S() needs an argument",
                         cyfunc->func_qualname);
            return NULL;
        }
        result = __Pyx_CyFunction_CallMethod(func, self, new_args, kw);
        Py_DECREF(new_args);
    } else {
        result = __Pyx_CyFunction_Call(func, args, kw);
    }
    return result;
}
#if CYTHON_METH_FASTCALL && CYTHON_VECTORCALL
static CYTHON_INLINE int __Pyx_CyFunction_Vectorcall_CheckArgs(__pyx_CyFunctionObject *cyfunc, Py_ssize_t nargs, PyObject *kwnames)
{
    int ret = 0;
    if ((cyfunc->flags & __Pyx_CYFUNCTION_CCLASS) && !(cyfunc->flags & __Pyx_CYFUNCTION_STATICMETHOD)) {
        if (unlikely(nargs < 1)) {
            __Pyx_CyFunction_raise_type_error(
                cyfunc, "needs an argument");
            return -1;
        }
        ret = 1;
    }
    if (unlikely(kwnames) && unlikely(__Pyx_PyTuple_GET_SIZE(kwnames))) {
        __Pyx_CyFunction_raise_type_error(
            cyfunc, "takes no keyword arguments");
        return -1;
    }
    return ret;
}
static PyObject * __Pyx_CyFunction_Vectorcall_NOARGS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
{
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *)func;
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
    PyObject *self;
#if CYTHON_COMPILING_IN_LIMITED_API
    PyCFunction meth = PyCFunction_GetFunction(cyfunc->func);
    if (unlikely(!meth)) return NULL;
#else
    PyCFunction meth = ((PyCFunctionObject*)cyfunc)->m_ml->ml_meth;
#endif
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, kwnames)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
#if CYTHON_COMPILING_IN_LIMITED_API
        self = PyCFunction_GetSelf(((__pyx_CyFunctionObject*)cyfunc)->func);
        if (unlikely(!self) && PyErr_Occurred()) return NULL;
#else
        self = ((PyCFunctionObject*)cyfunc)->m_self;
#endif
        break;
    default:
        return NULL;
    }
    if (unlikely(nargs != 0)) {
        __Pyx_CyFunction_raise_argument_count_error(
            cyfunc, "takes no arguments", nargs);
        return NULL;
    }
    return meth(self, NULL);
}
static PyObject * __Pyx_CyFunction_Vectorcall_O(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
{
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *)func;
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
    PyObject *self;
#if CYTHON_COMPILING_IN_LIMITED_API
    PyCFunction meth = PyCFunction_GetFunction(cyfunc->func);
    if (unlikely(!meth)) return NULL;
#else
    PyCFunction meth = ((PyCFunctionObject*)cyfunc)->m_ml->ml_meth;
#endif
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, kwnames)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
#if CYTHON_COMPILING_IN_LIMITED_API
        self = PyCFunction_GetSelf(((__pyx_CyFunctionObject*)cyfunc)->func);
        if (unlikely(!self) && PyErr_Occurred()) return NULL;
#else
        self = ((PyCFunctionObject*)cyfunc)->m_self;
#endif
        break;
    default:
        return NULL;
    }
    if (unlikely(nargs != 1)) {
        __Pyx_CyFunction_raise_argument_count_error(
            cyfunc, "takes exactly one argument", nargs);
        return NULL;
    }
    return meth(self, args[0]);
}
static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
{
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *)func;
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
    PyObject *self;
#if CYTHON_COMPILING_IN_LIMITED_API
    PyCFunction meth = PyCFunction_GetFunction(cyfunc->func);
    if (unlikely(!meth)) return NULL;
#else
    PyCFunction meth = ((PyCFunctionObject*)cyfunc)->m_ml->ml_meth;
#endif
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, NULL)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
#if CYTHON_COMPILING_IN_LIMITED_API
        self = PyCFunction_GetSelf(((__pyx_CyFunctionObject*)cyfunc)->func);
        if (unlikely(!self) && PyErr_Occurred()) return NULL;
#else
        self = ((PyCFunctionObject*)cyfunc)->m_self;
#endif
        break;
    default:
        return NULL;
    }
    return ((__Pyx_PyCFunctionFastWithKeywords)(void(*)(void))meth)(self, args, nargs, kwnames);
}
static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS_METHOD(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
{
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *)func;
    PyTypeObject *cls = (PyTypeObject *) __Pyx_CyFunction_GetClassObj(cyfunc);
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
    PyObject *self;
#if CYTHON_COMPILING_IN_LIMITED_API
    PyCFunction meth = PyCFunction_GetFunction(cyfunc->func);
    if (unlikely(!meth)) return NULL;
#else
    PyCFunction meth = ((PyCFunctionObject*)cyfunc)->m_ml->ml_meth;
#endif
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, NULL)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
#if CYTHON_COMPILING_IN_LIMITED_API
        self = PyCFunction_GetSelf(((__pyx_CyFunctionObject*)cyfunc)->func);
        if (unlikely(!self) && PyErr_Occurred()) return NULL;
#else
        self = ((PyCFunctionObject*)cyfunc)->m_self;
#endif
        break;
    default:
        return NULL;
    }
    #if PY_VERSION_HEX < 0x030e00A6
    size_t nargs_value = (size_t) nargs;
    #else
    Py_ssize_t nargs_value = nargs;
    #endif
    return ((__Pyx_PyCMethod)(void(*)(void))meth)(self, cls, args, nargs_value, kwnames);
}
#endif
static PyType_Slot __pyx_CyFunctionType_slots[] = {
    {Py_tp_dealloc, (void *)__Pyx_CyFunction_dealloc},
    {Py_tp_repr, (void *)__Pyx_CyFunction_repr},
    {Py_tp_call, (void *)__Pyx_CyFunction_CallAsMethod},
    {Py_tp_traverse, (void *)__Pyx_CyFunction_traverse},
    {Py_tp_clear, (void *)__Pyx_CyFunction_clear},
    {Py_tp_methods, (void *)__pyx_CyFunction_methods},
    {Py_tp_members, (void *)__pyx_CyFunction_members},
    {Py_tp_getset, (void *)__pyx_CyFunction_getsets},
    {Py_tp_descr_get, (void *)__Pyx_PyMethod_New},
    {0, 0},
};
static PyType_Spec __pyx_CyFunctionType_spec = {
    __PYX_TYPE_MODULE_PREFIX "cython_function_or_method",
    sizeof(__pyx_CyFunctionObject),
    0,
#ifdef Py_TPFLAGS_METHOD_DESCRIPTOR
    Py_TPFLAGS_METHOD_DESCRIPTOR |
#endif
#if CYTHON_METH_FASTCALL
#if defined(Py_TPFLAGS_HAVE_VECTORCALL)
    Py_TPFLAGS_HAVE_VECTORCALL |
#elif defined(_Py_TPFLAGS_HAVE_VECTORCALL)
    _Py_TPFLAGS_HAVE_VECTORCALL |
#endif
#endif // CYTHON_METH_FASTCALL
#if PY_VERSION_HEX >= 0x030C0000 && !CYTHON_COMPILING_IN_LIMITED_API
    Py_TPFLAGS_MANAGED_DICT |
#endif
    Py_TPFLAGS_IMMUTABLETYPE | Py_TPFLAGS_DISALLOW_INSTANTIATION |
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_BASETYPE,
    __pyx_CyFunctionType_slots
};
static int __pyx_CyFunction_init(PyObject *module) {
    __pyx_mstatetype *mstate = __Pyx_PyModule_GetState(module);
    mstate->__pyx_CyFunctionType = __Pyx_FetchCommonTypeFromSpec(
        mstate->__pyx_CommonTypesMetaclassType, module, &__pyx_CyFunctionType_spec, NULL);
    if (unlikely(mstate->__pyx_CyFunctionType == NULL)) {
        return -1;
    }
    return 0;
}
static CYTHON_INLINE PyObject *__Pyx_CyFunction_InitDefaults(PyObject *func, PyTypeObject *defaults_type) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults = PyObject_CallObject((PyObject*)defaults_type, NULL); // _PyObject_New(defaults_type);
    if (unlikely(!m->defaults))
        return NULL;
    return m->defaults;
}
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *func, PyObject *tuple) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults_tuple = tuple;
    Py_INCREF(tuple);
}
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *func, PyObject *dict) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults_kwdict = dict;
    Py_INCREF(dict);
}
static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *func, PyObject *dict) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->func_annotations = dict;
    Py_INCREF(dict);
}

/* CythonFunction */
static PyObject *__Pyx_CyFunction_New(PyMethodDef *ml, int flags, PyObject* qualname,
                                      PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {
    PyObject *op = __Pyx_CyFunction_Init(
        PyObject_GC_New(__pyx_CyFunctionObject, __pyx_mstate_global->__pyx_CyFunctionType),
        ml, flags, qualname, closure, module, globals, code
    );
    if (likely(op)) {
        PyObject_GC_Track(op);
    }
    return op;
}

/* ExtTypeTest */
static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type) {
    __Pyx_TypeName obj_type_name;
    __Pyx_TypeName type_name;
    if (unlikely(!type)) {
        PyErr_SetString(PyExc_SystemError, "Missing type object");
        return 0;
    }
    if (likely(__Pyx_TypeCheck(obj, type)))
        return 1;
    obj_type_name = __Pyx_PyType_GetFullyQualifiedName(Py_TYPE(obj));
    type_name = __Pyx_PyType_GetFullyQualifiedName(type);
    PyErr_Format(PyExc_TypeError,
                 "Cannot convert " __Pyx_FMT_TYPENAME " to " __Pyx_FMT_TYPENAME,
                 obj_type_name, type_name);
    __Pyx_DECREF_TypeName(obj_type_name);
    __Pyx_DECREF_TypeName(type_name);
    return 0;
}

/* RaiseTooManyValuesToUnpack */
static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected) {
    PyErr_Format(PyExc_ValueError,
                 "too many values to unpack (expected %" CYTHON_FORMAT_SSIZE_T "d)", expected);
}

/* RaiseNeedMoreValuesToUnpack */
static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index) {
    PyErr_Format(PyExc_ValueError,
                 "need more than %" CYTHON_FORMAT_SSIZE_T "d value%.1s to unpack",
                 index, (index == 1) ? "" : "s");
}

/* IterFinish */
static CYTHON_INLINE int __Pyx_IterFinish(void) {
    PyObject* exc_type;
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    exc_type = __Pyx_PyErr_CurrentExceptionType();
    if (unlikely(exc_type)) {
        if (unlikely(!__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration)))
            return -1;
        __Pyx_PyErr_Clear();
        return 0;
    }
    return 0;
}

/* UnpackItemEndCheck */
static int __Pyx_IternextUnpackEndCheck(PyObject *retval, Py_ssize_t expected) {
    if (unlikely(retval)) {
        Py_DECREF(retval);
        __Pyx_RaiseTooManyValuesError(expected);
        return -1;
    }
    return __Pyx_IterFinish();
}

/* PyObjectSetAttrStr */
#if CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE int __Pyx_PyObject_SetAttrStr(PyObject* obj, PyObject* attr_name, PyObject* value) {
    PyTypeObject* tp = Py_TYPE(obj);
    if (likely(tp->tp_setattro))
        return tp->tp_setattro(obj, attr_name, value);
    return PyObject_SetAttr(obj, attr_name, value);
}
#endif

/* UnicodeConcatInPlace */
# if CYTHON_COMPILING_IN_CPYTHON
static int
__Pyx_unicode_modifiable(PyObject *unicode, int unsafe_shared)
{
    if (!__Pyx_IS_UNIQUELY_REFERENCED(unicode, unsafe_shared))
        return 0;
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX > 0x030F0000
    if (PyUnstable_Unicode_GET_CACHED_HASH(unicode) != -1)
        return 0;
#endif
    if (!PyUnicode_CheckExact(unicode))
        return 0;
    if (PyUnicode_CHECK_INTERNED(unicode))
        return 0;
    return 1;
}
static CYTHON_INLINE PyObject *__Pyx_PyUnicode_ConcatInPlaceImpl(PyObject **p_left, PyObject *right, int unsafe_shared
        #if CYTHON_REFNANNY
        , void* __pyx_refnanny
        #endif
    ) {
    PyObject *left = *p_left;
    Py_ssize_t left_len, right_len, new_len;
    if (unlikely(__Pyx_PyUnicode_READY(left) == -1))
        return NULL;
    if (unlikely(__Pyx_PyUnicode_READY(right) == -1))
        return NULL;
    left_len = PyUnicode_GET_LENGTH(left);
    if (left_len == 0) {
        Py_INCREF(right);
        return right;
    }
    right_len = PyUnicode_GET_LENGTH(right);
    if (right_len == 0) {
        Py_INCREF(left);
        return left;
    }
    if (unlikely(left_len > PY_SSIZE_T_MAX - right_len)) {
        PyErr_SetString(PyExc_OverflowError,
                        "strings are too large to concat");
        return NULL;
    }
    new_len = left_len + right_len;
    if (__Pyx_unicode_modifiable(left, unsafe_shared)
            && PyUnicode_CheckExact(right)
            && PyUnicode_KIND(right) <= PyUnicode_KIND(left)
            && !(PyUnicode_IS_ASCII(left) && !PyUnicode_IS_ASCII(right))) {
        int ret;
        __Pyx_GIVEREF(*p_left);
        ret = PyUnicode_Resize(p_left, new_len);
        __Pyx_GOTREF(*p_left);
        if (unlikely(ret != 0))
            return NULL;
        #if PY_VERSION_HEX >= 0x030d0000
        if (unlikely(PyUnicode_CopyCharacters(*p_left, left_len, right, 0, right_len) < 0)) return NULL;
        #else
        _PyUnicode_FastCopyCharacters(*p_left, left_len, right, 0, right_len);
        #endif
        __Pyx_INCREF(*p_left);
        __Pyx_GIVEREF(*p_left);
        return *p_left;
    } else {
        return __Pyx_PyUnicode_Concat(left, right);
    }
  }
#endif

/* 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 != '{') {
            PyErr_SetString(PyExc_ValueError, "Buffer acquisition: Expected '{' 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 '}':
        {
          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;
  }
  
/* SliceObject */
  static CYTHON_INLINE int __Pyx_PyObject_SetSlice(PyObject* obj, PyObject* value,
          Py_ssize_t cstart, Py_ssize_t cstop,
          PyObject** _py_start, PyObject** _py_stop, PyObject** _py_slice,
          int has_cstart, int has_cstop, CYTHON_UNUSED int wraparound) {
      __Pyx_TypeName obj_type_name;
  #if CYTHON_USE_TYPE_SLOTS
      PyMappingMethods* mp = Py_TYPE(obj)->tp_as_mapping;
      if (likely(mp && mp->mp_ass_subscript))
  #endif
      {
          int result;
          PyObject *py_slice, *py_start, *py_stop;
          if (_py_slice) {
              py_slice = *_py_slice;
          } else {
              PyObject* owned_start = NULL;
              PyObject* owned_stop = NULL;
              if (_py_start) {
                  py_start = *_py_start;
              } else {
                  if (has_cstart) {
                      owned_start = py_start = PyLong_FromSsize_t(cstart);
                      if (unlikely(!py_start)) goto bad;
                  } else
                      py_start = Py_None;
              }
              if (_py_stop) {
                  py_stop = *_py_stop;
              } else {
                  if (has_cstop) {
                      owned_stop = py_stop = PyLong_FromSsize_t(cstop);
                      if (unlikely(!py_stop)) {
                          Py_XDECREF(owned_start);
                          goto bad;
                      }
                  } else
                      py_stop = Py_None;
              }
              py_slice = PySlice_New(py_start, py_stop, Py_None);
              Py_XDECREF(owned_start);
              Py_XDECREF(owned_stop);
              if (unlikely(!py_slice)) goto bad;
          }
  #if CYTHON_USE_TYPE_SLOTS
          result = mp->mp_ass_subscript(obj, py_slice, value);
  #else
          result = value ? PyObject_SetItem(obj, py_slice, value) : PyObject_DelItem(obj, py_slice);
  #endif
          if (!_py_slice) {
              Py_DECREF(py_slice);
          }
          return result;
      }
      obj_type_name = __Pyx_PyType_GetFullyQualifiedName(Py_TYPE(obj));
      PyErr_Format(PyExc_TypeError,
          "'" __Pyx_FMT_TYPENAME "' object does not support slice %.10s",
          obj_type_name, value ? "assignment" : "deletion");
      __Pyx_DECREF_TypeName(obj_type_name);
  bad:
      return -1;
  }
  
/* PyLongBinop */
  #if !CYTHON_COMPILING_IN_PYPY
  static PyObject* __Pyx_Fallback___Pyx_PyLong_SubtractCObj(PyObject *op1, PyObject *op2, int inplace) {
      return (inplace ? PyNumber_InPlaceSubtract : PyNumber_Subtract)(op1, op2);
  }
  #if CYTHON_USE_PYLONG_INTERNALS
  static PyObject* __Pyx_Unpacked___Pyx_PyLong_SubtractCObj(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check) {
      CYTHON_MAYBE_UNUSED_VAR(inplace);
      CYTHON_UNUSED_VAR(zerodivision_check);
      const long a = intval;
      long b;
      const PY_LONG_LONG lla = intval;
      PY_LONG_LONG llb;
      if (unlikely(__Pyx_PyLong_IsZero(op2))) {
          return __Pyx_NewRef(op1);
      }
      const int is_positive = __Pyx_PyLong_IsPos(op2);
      const digit* digits = __Pyx_PyLong_Digits(op2);
      const Py_ssize_t size = __Pyx_PyLong_DigitCount(op2);
      if (likely(size == 1)) {
          b = (long) digits[0];
          if (!is_positive) b *= -1;
      } else {
          switch (size) {
              case 2:
                  if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                      b = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                      if (!is_positive) b *= -1;
                      goto calculate_long;
                  } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                      llb = (PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                      if (!is_positive) llb *= -1;
                      goto calculate_long_long;
                  }
                  break;
              case 3:
                  if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                      b = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                      if (!is_positive) b *= -1;
                      goto calculate_long;
                  } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                      llb = (PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                      if (!is_positive) llb *= -1;
                      goto calculate_long_long;
                  }
                  break;
              case 4:
                  if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                      b = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                      if (!is_positive) b *= -1;
                      goto calculate_long;
                  } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                      llb = (PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                      if (!is_positive) llb *= -1;
                      goto calculate_long_long;
                  }
                  break;
          }
          return PyLong_Type.tp_as_number->nb_subtract(op1, op2);
      }
      calculate_long:
          {
              long x;
              x = a - b;
              return PyLong_FromLong(x);
          }
      calculate_long_long:
          {
              PY_LONG_LONG llx;
              llx = lla - llb;
              return PyLong_FromLongLong(llx);
          }
      
  }
  #endif
  static PyObject* __Pyx_Float___Pyx_PyLong_SubtractCObj(PyObject *float_val, long intval, int zerodivision_check) {
      CYTHON_UNUSED_VAR(zerodivision_check);
      const long a = intval;
      double b = __Pyx_PyFloat_AS_DOUBLE(float_val);
          double result;
          
          result = ((double)a) - (double)b;
          return PyFloat_FromDouble(result);
  }
  static CYTHON_INLINE PyObject* __Pyx_PyLong_SubtractCObj(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check) {
      CYTHON_MAYBE_UNUSED_VAR(intval);
      CYTHON_UNUSED_VAR(zerodivision_check);
      #if CYTHON_USE_PYLONG_INTERNALS
      if (likely(PyLong_CheckExact(op2))) {
          return __Pyx_Unpacked___Pyx_PyLong_SubtractCObj(op1, op2, intval, inplace, zerodivision_check);
      }
      #endif
      if (PyFloat_CheckExact(op2)) {
          return __Pyx_Float___Pyx_PyLong_SubtractCObj(op2, intval, zerodivision_check);
      }
      return __Pyx_Fallback___Pyx_PyLong_SubtractCObj(op1, op2, inplace);
  }
  #endif
  
/* BufferIndexError */
  static void __Pyx_RaiseBufferIndexError(int axis) {
    PyErr_Format(PyExc_IndexError,
       "Out of bounds on buffer access (axis %d)", axis);
  }
  
/* PyObjectFormatAndDecref */
  static CYTHON_INLINE PyObject* __Pyx_PyObject_FormatSimpleAndDecref(PyObject* s, PyObject* f) {
      if (unlikely(!s)) return NULL;
      if (likely(PyUnicode_CheckExact(s))) return s;
      return __Pyx_PyObject_FormatAndDecref(s, f);
  }
  static CYTHON_INLINE PyObject* __Pyx_PyObject_FormatAndDecref(PyObject* s, PyObject* f) {
      PyObject *result;
      if (unlikely(!s)) return NULL;
      result = PyObject_Format(s, f);
      Py_DECREF(s);
      return result;
  }
  
/* JoinPyUnicode */
  static PyObject* __Pyx_PyUnicode_Join(PyObject** values, Py_ssize_t value_count, Py_ssize_t result_ulength,
                                        Py_UCS4 max_char) {
  #if CYTHON_USE_UNICODE_INTERNALS && CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
      PyObject *result_uval;
      int result_ukind, kind_shift;
      Py_ssize_t i, char_pos;
      void *result_udata;
      if (max_char > 1114111) max_char = 1114111;
      result_uval = PyUnicode_New(result_ulength, max_char);
      if (unlikely(!result_uval)) return NULL;
      result_ukind = (max_char <= 255) ? PyUnicode_1BYTE_KIND : (max_char <= 65535) ? PyUnicode_2BYTE_KIND : PyUnicode_4BYTE_KIND;
      kind_shift = (result_ukind == PyUnicode_4BYTE_KIND) ? 2 : result_ukind - 1;
      result_udata = PyUnicode_DATA(result_uval);
      assert(kind_shift == 2 || kind_shift == 1 || kind_shift == 0);
      if (unlikely((PY_SSIZE_T_MAX >> kind_shift) - result_ulength < 0))
          goto overflow;
      char_pos = 0;
      for (i=0; i < value_count; i++) {
          int ukind;
          Py_ssize_t ulength;
          void *udata;
          PyObject *uval = values[i];
          #if !CYTHON_COMPILING_IN_LIMITED_API
          if (__Pyx_PyUnicode_READY(uval) == (-1))
              goto bad;
          #endif
          ulength = __Pyx_PyUnicode_GET_LENGTH(uval);
          #if !CYTHON_ASSUME_SAFE_SIZE
          if (unlikely(ulength < 0)) goto bad;
          #endif
          if (unlikely(!ulength))
              continue;
          if (unlikely((PY_SSIZE_T_MAX >> kind_shift) - ulength < char_pos))
              goto overflow;
          ukind = __Pyx_PyUnicode_KIND(uval);
          udata = __Pyx_PyUnicode_DATA(uval);
          if (ukind == result_ukind) {
              memcpy((char *)result_udata + (char_pos << kind_shift), udata, (size_t) (ulength << kind_shift));
          } else {
              #if PY_VERSION_HEX >= 0x030d0000
              if (unlikely(PyUnicode_CopyCharacters(result_uval, char_pos, uval, 0, ulength) < 0)) goto bad;
              #elif CYTHON_COMPILING_IN_CPYTHON || defined(_PyUnicode_FastCopyCharacters)
              _PyUnicode_FastCopyCharacters(result_uval, char_pos, uval, 0, ulength);
              #else
              Py_ssize_t j;
              for (j=0; j < ulength; j++) {
                  Py_UCS4 uchar = __Pyx_PyUnicode_READ(ukind, udata, j);
                  __Pyx_PyUnicode_WRITE(result_ukind, result_udata, char_pos+j, uchar);
              }
              #endif
          }
          char_pos += ulength;
      }
      return result_uval;
  overflow:
      PyErr_SetString(PyExc_OverflowError, "join() result is too long for a Python string");
  bad:
      Py_DECREF(result_uval);
      return NULL;
  #else
      Py_ssize_t i;
      PyObject *result = NULL;
      PyObject *value_tuple = PyTuple_New(value_count);
      if (unlikely(!value_tuple)) return NULL;
      CYTHON_UNUSED_VAR(max_char);
      CYTHON_UNUSED_VAR(result_ulength);
      for (i=0; i<value_count; i++) {
          if (__Pyx_PyTuple_SET_ITEM(value_tuple, i, values[i]) != (0)) goto bad;
          Py_INCREF(values[i]);
      }
      result = PyUnicode_Join(__pyx_mstate_global->__pyx_empty_unicode, value_tuple);
  bad:
      Py_DECREF(value_tuple);
      return result;
  #endif
  }
  
/* SetItemInt */
  static int __Pyx_SetItemInt_Generic(PyObject *o, PyObject *j, PyObject *v) {
      int r;
      if (unlikely(!j)) return -1;
      r = PyObject_SetItem(o, j, v);
      Py_DECREF(j);
      return r;
  }
  static CYTHON_INLINE int __Pyx_SetItemInt_Fast(PyObject *o, Py_ssize_t i, PyObject *v, int is_list,
                                                 int wraparound, int boundscheck, int unsafe_shared) {
      CYTHON_MAYBE_UNUSED_VAR(unsafe_shared);
  #if CYTHON_ASSUME_SAFE_MACROS && CYTHON_ASSUME_SAFE_SIZE && !CYTHON_AVOID_BORROWED_REFS
      if (is_list || PyList_CheckExact(o)) {
          Py_ssize_t n = (!wraparound) ? i : ((likely(i >= 0)) ? i : i + PyList_GET_SIZE(o));
          if ((CYTHON_AVOID_THREAD_UNSAFE_BORROWED_REFS && !__Pyx_IS_UNIQUELY_REFERENCED(o, unsafe_shared))) {
              Py_INCREF(v);
              return PyList_SetItem(o, n, v);
          } else if ((!boundscheck) || likely(__Pyx_is_valid_index(n, PyList_GET_SIZE(o)))) {
              PyObject* old;
              Py_INCREF(v);
              old = PyList_GET_ITEM(o, n);
              PyList_SET_ITEM(o, n, v);
              Py_DECREF(old);
              return 0;
          }
      } else
  #endif
  #if CYTHON_USE_TYPE_SLOTS && !CYTHON_COMPILING_IN_PYPY
      {
          PyMappingMethods *mm = Py_TYPE(o)->tp_as_mapping;
          PySequenceMethods *sm = Py_TYPE(o)->tp_as_sequence;
          if (!is_list && mm && mm->mp_ass_subscript) {
              int r;
              PyObject *key = PyLong_FromSsize_t(i);
              if (unlikely(!key)) return -1;
              r = mm->mp_ass_subscript(o, key, v);
              Py_DECREF(key);
              return r;
          }
          if (is_list || likely(sm && sm->sq_ass_item)) {
              if (wraparound && unlikely(i < 0) && likely(sm->sq_length)) {
                  Py_ssize_t l = sm->sq_length(o);
                  if (likely(l >= 0)) {
                      i += l;
                  } else {
                      if (!PyErr_ExceptionMatches(PyExc_OverflowError))
                          return -1;
                      PyErr_Clear();
                  }
              }
              return sm->sq_ass_item(o, i, v);
          }
      }
  #else
      if (is_list || !PyMapping_Check(o)) {
          return PySequence_SetItem(o, i, v);
      }
  #endif
      (void)wraparound;
      (void)boundscheck;
      return __Pyx_SetItemInt_Generic(o, PyLong_FromSsize_t(i), v);
  }
  
/* PyLongBinop */
  #if !CYTHON_COMPILING_IN_PYPY
  static PyObject* __Pyx_Fallback___Pyx_PyLong_AddObjC(PyObject *op1, PyObject *op2, int inplace) {
      return (inplace ? PyNumber_InPlaceAdd : PyNumber_Add)(op1, op2);
  }
  #if CYTHON_USE_PYLONG_INTERNALS
  static PyObject* __Pyx_Unpacked___Pyx_PyLong_AddObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check) {
      CYTHON_MAYBE_UNUSED_VAR(inplace);
      CYTHON_UNUSED_VAR(zerodivision_check);
      const long b = intval;
      long a;
      const PY_LONG_LONG llb = intval;
      PY_LONG_LONG lla;
      if (unlikely(__Pyx_PyLong_IsZero(op1))) {
          return __Pyx_NewRef(op2);
      }
      const int is_positive = __Pyx_PyLong_IsPos(op1);
      const digit* digits = __Pyx_PyLong_Digits(op1);
      const Py_ssize_t size = __Pyx_PyLong_DigitCount(op1);
      if (likely(size == 1)) {
          a = (long) digits[0];
          if (!is_positive) a *= -1;
      } else {
          switch (size) {
              case 2:
                  if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                      a = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                      if (!is_positive) a *= -1;
                      goto calculate_long;
                  } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                      lla = (PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                      if (!is_positive) lla *= -1;
                      goto calculate_long_long;
                  }
                  break;
              case 3:
                  if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                      a = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                      if (!is_positive) a *= -1;
                      goto calculate_long;
                  } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                      lla = (PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                      if (!is_positive) lla *= -1;
                      goto calculate_long_long;
                  }
                  break;
              case 4:
                  if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                      a = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                      if (!is_positive) a *= -1;
                      goto calculate_long;
                  } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                      lla = (PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                      if (!is_positive) lla *= -1;
                      goto calculate_long_long;
                  }
                  break;
          }
          return PyLong_Type.tp_as_number->nb_add(op1, op2);
      }
      calculate_long:
          {
              long x;
              x = a + b;
              return PyLong_FromLong(x);
          }
      calculate_long_long:
          {
              PY_LONG_LONG llx;
              llx = lla + llb;
              return PyLong_FromLongLong(llx);
          }
      
  }
  #endif
  static PyObject* __Pyx_Float___Pyx_PyLong_AddObjC(PyObject *float_val, long intval, int zerodivision_check) {
      CYTHON_UNUSED_VAR(zerodivision_check);
      const long b = intval;
      double a = __Pyx_PyFloat_AS_DOUBLE(float_val);
          double result;
          
          result = ((double)a) + (double)b;
          return PyFloat_FromDouble(result);
  }
  static CYTHON_INLINE PyObject* __Pyx_PyLong_AddObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check) {
      CYTHON_MAYBE_UNUSED_VAR(intval);
      CYTHON_UNUSED_VAR(zerodivision_check);
      #if CYTHON_USE_PYLONG_INTERNALS
      if (likely(PyLong_CheckExact(op1))) {
          return __Pyx_Unpacked___Pyx_PyLong_AddObjC(op1, op2, intval, inplace, zerodivision_check);
      }
      #endif
      if (PyFloat_CheckExact(op1)) {
          return __Pyx_Float___Pyx_PyLong_AddObjC(op1, intval, zerodivision_check);
      }
      return __Pyx_Fallback___Pyx_PyLong_AddObjC(op1, op2, inplace);
  }
  #endif
  
/* CallNextTpDealloc */
  static void __Pyx_call_next_tp_dealloc(PyObject* obj, destructor current_tp_dealloc) {
      PyTypeObject* type = Py_TYPE(obj);
      destructor tp_dealloc = NULL;
      while (type && __Pyx_PyType_GetSlot(type, tp_dealloc, destructor) != current_tp_dealloc)
          type = __Pyx_PyType_GetSlot(type, tp_base, PyTypeObject*);
      while (type && (tp_dealloc = __Pyx_PyType_GetSlot(type, tp_dealloc, destructor)) == current_tp_dealloc)
          type = __Pyx_PyType_GetSlot(type, tp_base, PyTypeObject*);
      if (type)
          tp_dealloc(obj);
  }
  
/* CallNextTpTraverse */
  static int __Pyx_call_next_tp_traverse(PyObject* obj, visitproc v, void *a, traverseproc current_tp_traverse) {
      PyTypeObject* type = Py_TYPE(obj);
      traverseproc tp_traverse = NULL;
      while (type && __Pyx_PyType_GetSlot(type, tp_traverse, traverseproc) != current_tp_traverse)
          type = __Pyx_PyType_GetSlot(type, tp_base, PyTypeObject*);
      while (type && (tp_traverse = __Pyx_PyType_GetSlot(type, tp_traverse, traverseproc)) == current_tp_traverse)
          type = __Pyx_PyType_GetSlot(type, tp_base, PyTypeObject*);
      if (type && tp_traverse)
          return tp_traverse(obj, v, a);
      return 0;
  }
  
/* CallNextTpClear */
  static void __Pyx_call_next_tp_clear(PyObject* obj, inquiry current_tp_clear) {
      PyTypeObject* type = Py_TYPE(obj);
      inquiry tp_clear = NULL;
      while (type && __Pyx_PyType_GetSlot(type, tp_clear, inquiry) != current_tp_clear)
          type = __Pyx_PyType_GetSlot(type, tp_base, PyTypeObject*);
      while (type && (tp_clear = __Pyx_PyType_GetSlot(type, tp_clear, inquiry)) == current_tp_clear)
          type = __Pyx_PyType_GetSlot(type, tp_base, PyTypeObject*);
      if (type && tp_clear)
          tp_clear(obj);
  }
  
/* AllocateExtensionType */
  static PyObject *__Pyx_AllocateExtensionType(PyTypeObject *t, int is_final) {
      if (is_final || likely(!__Pyx_PyType_HasFeature(t, Py_TPFLAGS_IS_ABSTRACT))) {
          allocfunc alloc_func = __Pyx_PyType_GetSlot(t, tp_alloc, allocfunc);
          return alloc_func(t, 0);
      } else {
          newfunc tp_new = __Pyx_PyType_TryGetSlot(&PyBaseObject_Type, tp_new, newfunc);
      #if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
          if (!tp_new) {
              PyObject *new_str = PyUnicode_FromString("__new__");
              if (likely(new_str)) {
                  PyObject *o = PyObject_CallMethodObjArgs((PyObject *)&PyBaseObject_Type, new_str, t, NULL);
                  Py_DECREF(new_str);
                  return o;
              } else
                  return NULL;
          } else
      #endif
          return tp_new(t, __pyx_mstate_global->__pyx_empty_tuple, 0);
      }
  }
  
/* TypeImport */
  #ifndef __PYX_HAVE_RT_ImportType_3_2_1
  #define __PYX_HAVE_RT_ImportType_3_2_1
  static PyTypeObject *__Pyx_ImportType_3_2_1(PyObject *module, const char *module_name, const char *class_name,
      size_t size, size_t alignment, enum __Pyx_ImportType_CheckSize_3_2_1 check_size)
  {
      PyObject *result = 0;
      Py_ssize_t basicsize;
      Py_ssize_t itemsize;
  #if defined(Py_LIMITED_API) || (defined(CYTHON_COMPILING_IN_LIMITED_API) && CYTHON_COMPILING_IN_LIMITED_API)
      PyObject *py_basicsize;
      PyObject *py_itemsize;
  #endif
      result = PyObject_GetAttrString(module, class_name);
      if (!result)
          goto bad;
      if (!PyType_Check(result)) {
          PyErr_Format(PyExc_TypeError,
              "%.200s.%.200s is not a type object",
              module_name, class_name);
          goto bad;
      }
  #if !( defined(Py_LIMITED_API) || (defined(CYTHON_COMPILING_IN_LIMITED_API) && CYTHON_COMPILING_IN_LIMITED_API) )
      basicsize = ((PyTypeObject *)result)->tp_basicsize;
      itemsize = ((PyTypeObject *)result)->tp_itemsize;
  #else
      if (size == 0) {
          return (PyTypeObject *)result;
      }
      py_basicsize = PyObject_GetAttrString(result, "__basicsize__");
      if (!py_basicsize)
          goto bad;
      basicsize = PyLong_AsSsize_t(py_basicsize);
      Py_DECREF(py_basicsize);
      py_basicsize = 0;
      if (basicsize == (Py_ssize_t)-1 && PyErr_Occurred())
          goto bad;
      py_itemsize = PyObject_GetAttrString(result, "__itemsize__");
      if (!py_itemsize)
          goto bad;
      itemsize = PyLong_AsSsize_t(py_itemsize);
      Py_DECREF(py_itemsize);
      py_itemsize = 0;
      if (itemsize == (Py_ssize_t)-1 && PyErr_Occurred())
          goto bad;
  #endif
      if (itemsize) {
          if (size % alignment) {
              alignment = size % alignment;
          }
          if (itemsize < (Py_ssize_t)alignment)
              itemsize = (Py_ssize_t)alignment;
      }
      if ((size_t)(basicsize + itemsize) < size) {
          PyErr_Format(PyExc_ValueError,
              "%.200s.%.200s size changed, may indicate binary incompatibility. "
              "Expected %zd from C header, got %zd from PyObject",
              module_name, class_name, size, basicsize+itemsize);
          goto bad;
      }
      if (check_size == __Pyx_ImportType_CheckSize_Error_3_2_1 &&
              ((size_t)basicsize > size || (size_t)(basicsize + itemsize) < size)) {
          PyErr_Format(PyExc_ValueError,
              "%.200s.%.200s size changed, may indicate binary incompatibility. "
              "Expected %zd from C header, got %zd-%zd from PyObject",
              module_name, class_name, size, basicsize, basicsize+itemsize);
          goto bad;
      }
      else if (check_size == __Pyx_ImportType_CheckSize_Warn_3_2_1 && (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
  
/* PyObjectCallNoArg (used by PyObjectCallMethod0) */
  static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func) {
      PyObject *arg[2] = {NULL, NULL};
      return __Pyx_PyObject_FastCall(func, arg + 1, 0 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET);
  }
  
/* PyObjectGetMethod (used by PyObjectCallMethod0) */
  #if !(CYTHON_VECTORCALL && (__PYX_LIMITED_VERSION_HEX >= 0x030C0000 || (!CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x03090000)))
  static int __Pyx_PyObject_GetMethod(PyObject *obj, PyObject *name, PyObject **method) {
      PyObject *attr;
  #if CYTHON_UNPACK_METHODS && CYTHON_COMPILING_IN_CPYTHON && CYTHON_USE_PYTYPE_LOOKUP
      __Pyx_TypeName type_name;
      PyTypeObject *tp = Py_TYPE(obj);
      PyObject *descr;
      descrgetfunc f = NULL;
      PyObject **dictptr, *dict;
      int meth_found = 0;
      assert (*method == NULL);
      if (unlikely(tp->tp_getattro != PyObject_GenericGetAttr)) {
          attr = __Pyx_PyObject_GetAttrStr(obj, name);
          goto try_unpack;
      }
      if (unlikely(tp->tp_dict == NULL) && unlikely(PyType_Ready(tp) < 0)) {
          return 0;
      }
      descr = _PyType_Lookup(tp, name);
      if (likely(descr != NULL)) {
          Py_INCREF(descr);
  #if defined(Py_TPFLAGS_METHOD_DESCRIPTOR) && Py_TPFLAGS_METHOD_DESCRIPTOR
          if (__Pyx_PyType_HasFeature(Py_TYPE(descr), Py_TPFLAGS_METHOD_DESCRIPTOR))
  #else
          #ifdef __Pyx_CyFunction_USED
          if (likely(PyFunction_Check(descr) || __Pyx_IS_TYPE(descr, &PyMethodDescr_Type) || __Pyx_CyFunction_Check(descr)))
          #else
          if (likely(PyFunction_Check(descr) || __Pyx_IS_TYPE(descr, &PyMethodDescr_Type)))
          #endif
  #endif
          {
              meth_found = 1;
          } else {
              f = Py_TYPE(descr)->tp_descr_get;
              if (f != NULL && PyDescr_IsData(descr)) {
                  attr = f(descr, obj, (PyObject *)Py_TYPE(obj));
                  Py_DECREF(descr);
                  goto try_unpack;
              }
          }
      }
      dictptr = _PyObject_GetDictPtr(obj);
      if (dictptr != NULL && (dict = *dictptr) != NULL) {
          Py_INCREF(dict);
          attr = __Pyx_PyDict_GetItemStr(dict, name);
          if (attr != NULL) {
              Py_INCREF(attr);
              Py_DECREF(dict);
              Py_XDECREF(descr);
              goto try_unpack;
          }
          Py_DECREF(dict);
      }
      if (meth_found) {
          *method = descr;
          return 1;
      }
      if (f != NULL) {
          attr = f(descr, obj, (PyObject *)Py_TYPE(obj));
          Py_DECREF(descr);
          goto try_unpack;
      }
      if (likely(descr != NULL)) {
          *method = descr;
          return 0;
      }
      type_name = __Pyx_PyType_GetFullyQualifiedName(tp);
      PyErr_Format(PyExc_AttributeError,
                   "'" __Pyx_FMT_TYPENAME "' object has no attribute '%U'",
                   type_name, name);
      __Pyx_DECREF_TypeName(type_name);
      return 0;
  #else
      attr = __Pyx_PyObject_GetAttrStr(obj, name);
      goto try_unpack;
  #endif
  try_unpack:
  #if CYTHON_UNPACK_METHODS
      if (likely(attr) && PyMethod_Check(attr) && likely(PyMethod_GET_SELF(attr) == obj)) {
          PyObject *function = PyMethod_GET_FUNCTION(attr);
          Py_INCREF(function);
          Py_DECREF(attr);
          *method = function;
          return 1;
      }
  #endif
      *method = attr;
      return 0;
  }
  #endif
  
/* PyObjectCallMethod0 (used by PyType_Ready) */
  static PyObject* __Pyx_PyObject_CallMethod0(PyObject* obj, PyObject* method_name) {
  #if CYTHON_VECTORCALL && (__PYX_LIMITED_VERSION_HEX >= 0x030C0000 || (!CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x03090000))
      PyObject *args[1] = {obj};
      (void) __Pyx_PyObject_CallOneArg;
      (void) __Pyx_PyObject_CallNoArg;
      return PyObject_VectorcallMethod(method_name, args, 1 | PY_VECTORCALL_ARGUMENTS_OFFSET, NULL);
  #else
      PyObject *method = NULL, *result = NULL;
      int is_method = __Pyx_PyObject_GetMethod(obj, method_name, &method);
      if (likely(is_method)) {
          result = __Pyx_PyObject_CallOneArg(method, obj);
          Py_DECREF(method);
          return result;
      }
      if (unlikely(!method)) goto bad;
      result = __Pyx_PyObject_CallNoArg(method);
      Py_DECREF(method);
  bad:
      return result;
  #endif
  }
  
/* ValidateBasesTuple (used by PyType_Ready) */
  #if CYTHON_COMPILING_IN_CPYTHON || CYTHON_COMPILING_IN_LIMITED_API || CYTHON_USE_TYPE_SPECS
  static int __Pyx_validate_bases_tuple(const char *type_name, Py_ssize_t dictoffset, PyObject *bases) {
      Py_ssize_t i, n;
  #if CYTHON_ASSUME_SAFE_SIZE
      n = PyTuple_GET_SIZE(bases);
  #else
      n = PyTuple_Size(bases);
      if (unlikely(n < 0)) return -1;
  #endif
      for (i = 1; i < n; i++)
      {
          PyTypeObject *b;
  #if CYTHON_AVOID_BORROWED_REFS
          PyObject *b0 = PySequence_GetItem(bases, i);
          if (!b0) return -1;
  #elif CYTHON_ASSUME_SAFE_MACROS
          PyObject *b0 = PyTuple_GET_ITEM(bases, i);
  #else
          PyObject *b0 = PyTuple_GetItem(bases, i);
          if (!b0) return -1;
  #endif
          b = (PyTypeObject*) b0;
          if (!__Pyx_PyType_HasFeature(b, Py_TPFLAGS_HEAPTYPE))
          {
              __Pyx_TypeName b_name = __Pyx_PyType_GetFullyQualifiedName(b);
              PyErr_Format(PyExc_TypeError,
                  "base class '" __Pyx_FMT_TYPENAME "' is not a heap type", b_name);
              __Pyx_DECREF_TypeName(b_name);
  #if CYTHON_AVOID_BORROWED_REFS
              Py_DECREF(b0);
  #endif
              return -1;
          }
          if (dictoffset == 0)
          {
              Py_ssize_t b_dictoffset = 0;
  #if CYTHON_USE_TYPE_SLOTS
              b_dictoffset = b->tp_dictoffset;
  #else
              PyObject *py_b_dictoffset = PyObject_GetAttrString((PyObject*)b, "__dictoffset__");
              if (!py_b_dictoffset) goto dictoffset_return;
              b_dictoffset = PyLong_AsSsize_t(py_b_dictoffset);
              Py_DECREF(py_b_dictoffset);
              if (b_dictoffset == -1 && PyErr_Occurred()) goto dictoffset_return;
  #endif
              if (b_dictoffset) {
                  {
                      __Pyx_TypeName b_name = __Pyx_PyType_GetFullyQualifiedName(b);
                      PyErr_Format(PyExc_TypeError,
                          "extension type '%.200s' has no __dict__ slot, "
                          "but base type '" __Pyx_FMT_TYPENAME "' has: "
                          "either add 'cdef dict __dict__' to the extension type "
                          "or add '__slots__ = [...]' to the base type",
                          type_name, b_name);
                      __Pyx_DECREF_TypeName(b_name);
                  }
  #if !CYTHON_USE_TYPE_SLOTS
                dictoffset_return:
  #endif
  #if CYTHON_AVOID_BORROWED_REFS
                  Py_DECREF(b0);
  #endif
                  return -1;
              }
          }
  #if CYTHON_AVOID_BORROWED_REFS
          Py_DECREF(b0);
  #endif
      }
      return 0;
  }
  #endif
  
/* PyType_Ready */
  CYTHON_UNUSED static int __Pyx_PyType_HasMultipleInheritance(PyTypeObject *t) {
      while (t) {
          PyObject *bases = __Pyx_PyType_GetSlot(t, tp_bases, PyObject*);
          if (bases) {
              return 1;
          }
          t = __Pyx_PyType_GetSlot(t, tp_base, PyTypeObject*);
      }
      return 0;
  }
  static int __Pyx_PyType_Ready(PyTypeObject *t) {
  #if CYTHON_USE_TYPE_SPECS || !CYTHON_COMPILING_IN_CPYTHON || defined(PYSTON_MAJOR_VERSION)
      (void)__Pyx_PyObject_CallMethod0;
  #if CYTHON_USE_TYPE_SPECS
      (void)__Pyx_validate_bases_tuple;
  #endif
      return PyType_Ready(t);
  #else
      int r;
      if (!__Pyx_PyType_HasMultipleInheritance(t)) {
          return PyType_Ready(t);
      }
      PyObject *bases = __Pyx_PyType_GetSlot(t, tp_bases, PyObject*);
      if (bases && unlikely(__Pyx_validate_bases_tuple(t->tp_name, t->tp_dictoffset, bases) == -1))
          return -1;
  #if !defined(PYSTON_MAJOR_VERSION)
      {
          int gc_was_enabled;
      #if PY_VERSION_HEX >= 0x030A00b1
          gc_was_enabled = PyGC_Disable();
          (void)__Pyx_PyObject_CallMethod0;
      #else
          PyObject *ret, *py_status;
          PyObject *gc = NULL;
          #if (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM+0 >= 0x07030400) &&\
                  !CYTHON_COMPILING_IN_GRAAL
          gc = PyImport_GetModule(__pyx_mstate_global->__pyx_kp_u_gc);
          #endif
          if (unlikely(!gc)) gc = PyImport_Import(__pyx_mstate_global->__pyx_kp_u_gc);
          if (unlikely(!gc)) return -1;
          py_status = __Pyx_PyObject_CallMethod0(gc, __pyx_mstate_global->__pyx_kp_u_isenabled);
          if (unlikely(!py_status)) {
              Py_DECREF(gc);
              return -1;
          }
          gc_was_enabled = __Pyx_PyObject_IsTrue(py_status);
          Py_DECREF(py_status);
          if (gc_was_enabled > 0) {
              ret = __Pyx_PyObject_CallMethod0(gc, __pyx_mstate_global->__pyx_kp_u_disable);
              if (unlikely(!ret)) {
                  Py_DECREF(gc);
                  return -1;
              }
              Py_DECREF(ret);
          } else if (unlikely(gc_was_enabled == -1)) {
              Py_DECREF(gc);
              return -1;
          }
      #endif
          t->tp_flags |= Py_TPFLAGS_HEAPTYPE;
  #if PY_VERSION_HEX >= 0x030A0000
          t->tp_flags |= Py_TPFLAGS_IMMUTABLETYPE;
  #endif
  #else
          (void)__Pyx_PyObject_CallMethod0;
  #endif
      r = PyType_Ready(t);
  #if !defined(PYSTON_MAJOR_VERSION)
          t->tp_flags &= ~Py_TPFLAGS_HEAPTYPE;
      #if PY_VERSION_HEX >= 0x030A00b1
          if (gc_was_enabled)
              PyGC_Enable();
      #else
          if (gc_was_enabled) {
              PyObject *tp, *v, *tb;
              PyErr_Fetch(&tp, &v, &tb);
              ret = __Pyx_PyObject_CallMethod0(gc, __pyx_mstate_global->__pyx_kp_u_enable);
              if (likely(ret || r == -1)) {
                  Py_XDECREF(ret);
                  PyErr_Restore(tp, v, tb);
              } else {
                  Py_XDECREF(tp);
                  Py_XDECREF(v);
                  Py_XDECREF(tb);
                  r = -1;
              }
          }
          Py_DECREF(gc);
      #endif
      }
  #endif
      return r;
  #endif
  }
  
/* DelItemOnTypeDict (used by SetupReduce) */
  static int __Pyx__DelItemOnTypeDict(PyTypeObject *tp, PyObject *k) {
      int result;
      PyObject *tp_dict;
  #if CYTHON_COMPILING_IN_LIMITED_API
      tp_dict = __Pyx_GetTypeDict(tp);
      if (unlikely(!tp_dict)) return -1;
  #else
      tp_dict = tp->tp_dict;
  #endif
      result = PyDict_DelItem(tp_dict, k);
      if (likely(!result)) PyType_Modified(tp);
      return result;
  }
  
/* SetupReduce */
  static int __Pyx_setup_reduce_is_named(PyObject* meth, PyObject* name) {
    int ret;
    PyObject *name_attr;
    name_attr = __Pyx_PyObject_GetAttrStrNoError(meth, __pyx_mstate_global->__pyx_n_u_name_2);
    if (likely(name_attr)) {
        ret = PyObject_RichCompareBool(name_attr, name, Py_EQ);
    } else {
        ret = -1;
    }
    if (unlikely(ret < 0)) {
        PyErr_Clear();
        ret = 0;
    }
    Py_XDECREF(name_attr);
    return ret;
  }
  static int __Pyx_setup_reduce(PyObject* type_obj) {
      int ret = 0;
      PyObject *object_reduce = NULL;
      PyObject *object_getstate = NULL;
      PyObject *object_reduce_ex = NULL;
      PyObject *reduce = NULL;
      PyObject *reduce_ex = NULL;
      PyObject *reduce_cython = NULL;
      PyObject *setstate = NULL;
      PyObject *setstate_cython = NULL;
      PyObject *getstate = NULL;
  #if CYTHON_USE_PYTYPE_LOOKUP
      getstate = _PyType_Lookup((PyTypeObject*)type_obj, __pyx_mstate_global->__pyx_n_u_getstate);
  #else
      getstate = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_mstate_global->__pyx_n_u_getstate);
      if (!getstate && PyErr_Occurred()) {
          goto __PYX_BAD;
      }
  #endif
      if (getstate) {
  #if CYTHON_USE_PYTYPE_LOOKUP
          object_getstate = _PyType_Lookup(&PyBaseObject_Type, __pyx_mstate_global->__pyx_n_u_getstate);
  #else
          object_getstate = __Pyx_PyObject_GetAttrStrNoError((PyObject*)&PyBaseObject_Type, __pyx_mstate_global->__pyx_n_u_getstate);
          if (!object_getstate && PyErr_Occurred()) {
              goto __PYX_BAD;
          }
  #endif
          if (object_getstate != getstate) {
              goto __PYX_GOOD;
          }
      }
  #if CYTHON_USE_PYTYPE_LOOKUP
      object_reduce_ex = _PyType_Lookup(&PyBaseObject_Type, __pyx_mstate_global->__pyx_n_u_reduce_ex); if (!object_reduce_ex) goto __PYX_BAD;
  #else
      object_reduce_ex = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_mstate_global->__pyx_n_u_reduce_ex); if (!object_reduce_ex) goto __PYX_BAD;
  #endif
      reduce_ex = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_mstate_global->__pyx_n_u_reduce_ex); if (unlikely(!reduce_ex)) goto __PYX_BAD;
      if (reduce_ex == object_reduce_ex) {
  #if CYTHON_USE_PYTYPE_LOOKUP
          object_reduce = _PyType_Lookup(&PyBaseObject_Type, __pyx_mstate_global->__pyx_n_u_reduce); if (!object_reduce) goto __PYX_BAD;
  #else
          object_reduce = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_mstate_global->__pyx_n_u_reduce); if (!object_reduce) goto __PYX_BAD;
  #endif
          reduce = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_mstate_global->__pyx_n_u_reduce); if (unlikely(!reduce)) goto __PYX_BAD;
          if (reduce == object_reduce || __Pyx_setup_reduce_is_named(reduce, __pyx_mstate_global->__pyx_n_u_reduce_cython)) {
              reduce_cython = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_mstate_global->__pyx_n_u_reduce_cython);
              if (likely(reduce_cython)) {
                  ret = __Pyx_SetItemOnTypeDict((PyTypeObject*)type_obj, __pyx_mstate_global->__pyx_n_u_reduce, reduce_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
                  ret = __Pyx_DelItemOnTypeDict((PyTypeObject*)type_obj, __pyx_mstate_global->__pyx_n_u_reduce_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
              } else if (reduce == object_reduce || PyErr_Occurred()) {
                  goto __PYX_BAD;
              }
              setstate = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_mstate_global->__pyx_n_u_setstate);
              if (!setstate) PyErr_Clear();
              if (!setstate || __Pyx_setup_reduce_is_named(setstate, __pyx_mstate_global->__pyx_n_u_setstate_cython)) {
                  setstate_cython = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_mstate_global->__pyx_n_u_setstate_cython);
                  if (likely(setstate_cython)) {
                      ret = __Pyx_SetItemOnTypeDict((PyTypeObject*)type_obj, __pyx_mstate_global->__pyx_n_u_setstate, setstate_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
                      ret = __Pyx_DelItemOnTypeDict((PyTypeObject*)type_obj, __pyx_mstate_global->__pyx_n_u_setstate_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
                  } else if (!setstate || PyErr_Occurred()) {
                      goto __PYX_BAD;
                  }
              }
              PyType_Modified((PyTypeObject*)type_obj);
          }
      }
      goto __PYX_GOOD;
  __PYX_BAD:
      if (!PyErr_Occurred()) {
          __Pyx_TypeName type_obj_name =
              __Pyx_PyType_GetFullyQualifiedName((PyTypeObject*)type_obj);
          PyErr_Format(PyExc_RuntimeError,
              "Unable to initialize pickling for " __Pyx_FMT_TYPENAME, type_obj_name);
          __Pyx_DECREF_TypeName(type_obj_name);
      }
      ret = -1;
  __PYX_GOOD:
  #if !CYTHON_USE_PYTYPE_LOOKUP
      Py_XDECREF(object_reduce);
      Py_XDECREF(object_reduce_ex);
      Py_XDECREF(object_getstate);
      Py_XDECREF(getstate);
  #endif
      Py_XDECREF(reduce);
      Py_XDECREF(reduce_ex);
      Py_XDECREF(reduce_cython);
      Py_XDECREF(setstate);
      Py_XDECREF(setstate_cython);
      return ret;
  }
  
/* 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
  
/* 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;
      }
      empty_dict = PyDict_New();
      if (unlikely(!empty_dict))
          goto bad;
      if (imported_names) {
  #if CYTHON_COMPILING_IN_CPYTHON
          from_list = __Pyx_PyList_FromArray(imported_names, len_imported_names);
          if (unlikely(!from_list))
              goto bad;
  #else
          from_list = PyList_New(len_imported_names);
          if (unlikely(!from_list)) goto bad;
          for (Py_ssize_t i=0; i<len_imported_names; ++i) {
              if (PyList_SetItem(from_list, i, __Pyx_NewRef(imported_names[i])) < 0) goto bad;
          }
  #endif
      }
      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);
  }
  
/* ImportFrom */
  static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name) {
      PyObject* value = __Pyx_PyObject_GetAttrStr(module, name);
      if (unlikely(!value) && PyErr_ExceptionMatches(PyExc_AttributeError)) {
          const char* module_name_str = 0;
          PyObject* module_name = 0;
          PyObject* module_dot = 0;
          PyObject* full_name = 0;
          PyErr_Clear();
          module_name_str = PyModule_GetName(module);
          if (unlikely(!module_name_str)) { goto modbad; }
          module_name = PyUnicode_FromString(module_name_str);
          if (unlikely(!module_name)) { goto modbad; }
          module_dot = PyUnicode_Concat(module_name, __pyx_mstate_global->__pyx_kp_u__5);
          if (unlikely(!module_dot)) { goto modbad; }
          full_name = PyUnicode_Concat(module_dot, name);
          if (unlikely(!full_name)) { goto modbad; }
          #if (CYTHON_COMPILING_IN_PYPY && PYPY_VERSION_NUM  < 0x07030400) ||\
                  CYTHON_COMPILING_IN_GRAAL
          {
              PyObject *modules = PyImport_GetModuleDict();
              if (unlikely(!modules))
                  goto modbad;
              value = PyObject_GetItem(modules, full_name);
          }
          #else
          value = PyImport_GetModule(full_name);
          #endif
        modbad:
          Py_XDECREF(full_name);
          Py_XDECREF(module_dot);
          Py_XDECREF(module_name);
      }
      if (unlikely(!value)) {
          PyErr_Format(PyExc_ImportError, "cannot import name %S", name);
      }
      return value;
  }
  
/* CLineInTraceback (used by AddTraceback) */
  #if CYTHON_CLINE_IN_TRACEBACK && CYTHON_CLINE_IN_TRACEBACK_RUNTIME
  #if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
  #define __Pyx_PyProbablyModule_GetDict(o) __Pyx_XNewRef(PyModule_GetDict(o))
  #elif !CYTHON_COMPILING_IN_CPYTHON || CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
  #define __Pyx_PyProbablyModule_GetDict(o) PyObject_GenericGetDict(o, NULL);
  #else
  PyObject* __Pyx_PyProbablyModule_GetDict(PyObject *o) {
      PyObject **dict_ptr = _PyObject_GetDictPtr(o);
      return dict_ptr ? __Pyx_XNewRef(*dict_ptr) : NULL;
  }
  #endif
  static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line) {
      PyObject *use_cline = NULL;
      PyObject *ptype, *pvalue, *ptraceback;
      PyObject *cython_runtime_dict;
      CYTHON_MAYBE_UNUSED_VAR(tstate);
      if (unlikely(!__pyx_mstate_global->__pyx_cython_runtime)) {
          return c_line;
      }
      __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);
      cython_runtime_dict = __Pyx_PyProbablyModule_GetDict(__pyx_mstate_global->__pyx_cython_runtime);
      if (likely(cython_runtime_dict)) {
          __PYX_PY_DICT_LOOKUP_IF_MODIFIED(
              use_cline, cython_runtime_dict,
              __Pyx_PyDict_SetDefault(cython_runtime_dict, __pyx_mstate_global->__pyx_n_u_cline_in_traceback, Py_False))
      }
      if (use_cline == NULL || use_cline == Py_False || (use_cline != Py_True && PyObject_Not(use_cline) != 0)) {
          c_line = 0;
      }
      Py_XDECREF(use_cline);
      Py_XDECREF(cython_runtime_dict);
      __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback);
      return c_line;
  }
  #endif
  
/* CodeObjectCache (used by AddTraceback) */
  static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line) {
      int start = 0, mid = 0, end = count - 1;
      if (end >= 0 && code_line > entries[end].code_line) {
          return count;
      }
      while (start < end) {
          mid = start + (end - start) / 2;
          if (code_line < entries[mid].code_line) {
              end = mid;
          } else if (code_line > entries[mid].code_line) {
               start = mid + 1;
          } else {
              return mid;
          }
      }
      if (code_line <= entries[mid].code_line) {
          return mid;
      } else {
          return mid + 1;
      }
  }
  static __Pyx_CachedCodeObjectType *__pyx__find_code_object(struct __Pyx_CodeObjectCache *code_cache, int code_line) {
      __Pyx_CachedCodeObjectType* code_object;
      int pos;
      if (unlikely(!code_line) || unlikely(!code_cache->entries)) {
          return NULL;
      }
      pos = __pyx_bisect_code_objects(code_cache->entries, code_cache->count, code_line);
      if (unlikely(pos >= code_cache->count) || unlikely(code_cache->entries[pos].code_line != code_line)) {
          return NULL;
      }
      code_object = code_cache->entries[pos].code_object;
      Py_INCREF(code_object);
      return code_object;
  }
  static __Pyx_CachedCodeObjectType *__pyx_find_code_object(int code_line) {
  #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING && !CYTHON_ATOMICS
      (void)__pyx__find_code_object;
      return NULL; // Most implementation should have atomics. But otherwise, don't make it thread-safe, just miss.
  #else
      struct __Pyx_CodeObjectCache *code_cache = &__pyx_mstate_global->__pyx_code_cache;
  #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
      __pyx_nonatomic_int_type old_count = __pyx_atomic_incr_acq_rel(&code_cache->accessor_count);
      if (old_count < 0) {
          __pyx_atomic_decr_acq_rel(&code_cache->accessor_count);
          return NULL;
      }
  #endif
      __Pyx_CachedCodeObjectType *result = __pyx__find_code_object(code_cache, code_line);
  #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
      __pyx_atomic_decr_acq_rel(&code_cache->accessor_count);
  #endif
      return result;
  #endif
  }
  static void __pyx__insert_code_object(struct __Pyx_CodeObjectCache *code_cache, int code_line, __Pyx_CachedCodeObjectType* code_object)
  {
      int pos, i;
      __Pyx_CodeObjectCacheEntry* entries = code_cache->entries;
      if (unlikely(!code_line)) {
          return;
      }
      if (unlikely(!entries)) {
          entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Malloc(64*sizeof(__Pyx_CodeObjectCacheEntry));
          if (likely(entries)) {
              code_cache->entries = entries;
              code_cache->max_count = 64;
              code_cache->count = 1;
              entries[0].code_line = code_line;
              entries[0].code_object = code_object;
              Py_INCREF(code_object);
          }
          return;
      }
      pos = __pyx_bisect_code_objects(code_cache->entries, code_cache->count, code_line);
      if ((pos < code_cache->count) && unlikely(code_cache->entries[pos].code_line == code_line)) {
          __Pyx_CachedCodeObjectType* tmp = entries[pos].code_object;
          entries[pos].code_object = code_object;
          Py_INCREF(code_object);
          Py_DECREF(tmp);
          return;
      }
      if (code_cache->count == code_cache->max_count) {
          int new_max = code_cache->max_count + 64;
          entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Realloc(
              code_cache->entries, ((size_t)new_max) * sizeof(__Pyx_CodeObjectCacheEntry));
          if (unlikely(!entries)) {
              return;
          }
          code_cache->entries = entries;
          code_cache->max_count = new_max;
      }
      for (i=code_cache->count; i>pos; i--) {
          entries[i] = entries[i-1];
      }
      entries[pos].code_line = code_line;
      entries[pos].code_object = code_object;
      code_cache->count++;
      Py_INCREF(code_object);
  }
  static void __pyx_insert_code_object(int code_line, __Pyx_CachedCodeObjectType* code_object) {
  #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING && !CYTHON_ATOMICS
      (void)__pyx__insert_code_object;
      return; // Most implementation should have atomics. But otherwise, don't make it thread-safe, just fail.
  #else
      struct __Pyx_CodeObjectCache *code_cache = &__pyx_mstate_global->__pyx_code_cache;
  #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
      __pyx_nonatomic_int_type expected = 0;
      if (!__pyx_atomic_int_cmp_exchange(&code_cache->accessor_count, &expected, INT_MIN)) {
          return;
      }
  #endif
      __pyx__insert_code_object(code_cache, code_line, code_object);
  #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
      __pyx_atomic_sub(&code_cache->accessor_count, INT_MIN);
  #endif
  #endif
  }
  
/* AddTraceback */
  #include "compile.h"
  #include "frameobject.h"
  #include "traceback.h"
  #if PY_VERSION_HEX >= 0x030b00a6 && !CYTHON_COMPILING_IN_LIMITED_API && !defined(PYPY_VERSION)
    #ifndef Py_BUILD_CORE
      #define Py_BUILD_CORE 1
    #endif
    #include "internal/pycore_frame.h"
  #endif
  #if CYTHON_COMPILING_IN_LIMITED_API
  static PyObject *__Pyx_PyCode_Replace_For_AddTraceback(PyObject *code, PyObject *scratch_dict,
                                                         PyObject *firstlineno, PyObject *name) {
      PyObject *replace = NULL;
      if (unlikely(PyDict_SetItemString(scratch_dict, "co_firstlineno", firstlineno))) return NULL;
      if (unlikely(PyDict_SetItemString(scratch_dict, "co_name", name))) return NULL;
      replace = PyObject_GetAttrString(code, "replace");
      if (likely(replace)) {
          PyObject *result = PyObject_Call(replace, __pyx_mstate_global->__pyx_empty_tuple, scratch_dict);
          Py_DECREF(replace);
          return result;
      }
      PyErr_Clear();
      return NULL;
  }
  static void __Pyx_AddTraceback(const char *funcname, int c_line,
                                 int py_line, const char *filename) {
      PyObject *code_object = NULL, *py_py_line = NULL, *py_funcname = NULL, *dict = NULL;
      PyObject *replace = NULL, *getframe = NULL, *frame = NULL;
      PyObject *exc_type, *exc_value, *exc_traceback;
      int success = 0;
      if (c_line) {
          c_line = __Pyx_CLineForTraceback(__Pyx_PyThreadState_Current, c_line);
      }
      PyErr_Fetch(&exc_type, &exc_value, &exc_traceback);
      code_object = __pyx_find_code_object(c_line ? -c_line : py_line);
      if (!code_object) {
          code_object = Py_CompileString("_getframe()", filename, Py_eval_input);
          if (unlikely(!code_object)) goto bad;
          py_py_line = PyLong_FromLong(py_line);
          if (unlikely(!py_py_line)) goto bad;
          if (c_line) {
              py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
          } else {
              py_funcname = PyUnicode_FromString(funcname);
          }
          if (unlikely(!py_funcname)) goto bad;
          dict = PyDict_New();
          if (unlikely(!dict)) goto bad;
          {
              PyObject *old_code_object = code_object;
              code_object = __Pyx_PyCode_Replace_For_AddTraceback(code_object, dict, py_py_line, py_funcname);
              Py_DECREF(old_code_object);
          }
          if (unlikely(!code_object)) goto bad;
          __pyx_insert_code_object(c_line ? -c_line : py_line, code_object);
      } else {
          dict = PyDict_New();
      }
      getframe = PySys_GetObject("_getframe");
      if (unlikely(!getframe)) goto bad;
      if (unlikely(PyDict_SetItemString(dict, "_getframe", getframe))) goto bad;
      frame = PyEval_EvalCode(code_object, dict, dict);
      if (unlikely(!frame) || frame == Py_None) goto bad;
      success = 1;
    bad:
      PyErr_Restore(exc_type, exc_value, exc_traceback);
      Py_XDECREF(code_object);
      Py_XDECREF(py_py_line);
      Py_XDECREF(py_funcname);
      Py_XDECREF(dict);
      Py_XDECREF(replace);
      if (success) {
          PyTraceBack_Here(
              (struct _frame*)frame);
      }
      Py_XDECREF(frame);
  }
  #else
  static PyCodeObject* __Pyx_CreateCodeObjectForTraceback(
              const char *funcname, int c_line,
              int py_line, const char *filename) {
      PyCodeObject *py_code = NULL;
      PyObject *py_funcname = NULL;
      if (c_line) {
          py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
          if (!py_funcname) goto bad;
          funcname = PyUnicode_AsUTF8(py_funcname);
          if (!funcname) goto bad;
      }
      py_code = PyCode_NewEmpty(filename, funcname, py_line);
      Py_XDECREF(py_funcname);
      return py_code;
  bad:
      Py_XDECREF(py_funcname);
      return NULL;
  }
  static void __Pyx_AddTraceback(const char *funcname, int c_line,
                                 int py_line, const char *filename) {
      PyCodeObject *py_code = 0;
      PyFrameObject *py_frame = 0;
      PyThreadState *tstate = __Pyx_PyThreadState_Current;
      PyObject *ptype, *pvalue, *ptraceback;
      if (c_line) {
          c_line = __Pyx_CLineForTraceback(tstate, c_line);
      }
      py_code = __pyx_find_code_object(c_line ? -c_line : py_line);
      if (!py_code) {
          __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);
          py_code = __Pyx_CreateCodeObjectForTraceback(
              funcname, c_line, py_line, filename);
          if (!py_code) {
              /* If the code object creation fails, then we should clear the
                 fetched exception references and propagate the new exception */
              Py_XDECREF(ptype);
              Py_XDECREF(pvalue);
              Py_XDECREF(ptraceback);
              goto bad;
          }
          __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback);
          __pyx_insert_code_object(c_line ? -c_line : py_line, py_code);
      }
      py_frame = PyFrame_New(
          tstate,            /*PyThreadState *tstate,*/
          py_code,           /*PyCodeObject *code,*/
          __pyx_mstate_global->__pyx_d,    /*PyObject *globals,*/
          0                  /*PyObject *locals*/
      );
      if (!py_frame) goto bad;
      __Pyx_PyFrame_SetLineNumber(py_frame, py_line);
      PyTraceBack_Here(py_frame);
  bad:
      Py_XDECREF(py_code);
      Py_XDECREF(py_frame);
  }
  #endif
  
/* CIntFromPyVerify */
  #define __PYX_VERIFY_RETURN_INT(target_type, func_type, func_value)\
      __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 0)
  #define __PYX_VERIFY_RETURN_INT_EXC(target_type, func_type, func_value)\
      __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 1)
  #define __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, exc)\
      {\
          func_type value = func_value;\
          if (sizeof(target_type) < sizeof(func_type)) {\
              if (unlikely(value != (func_type) (target_type) value)) {\
                  func_type zero = 0;\
                  if (exc && unlikely(value == (func_type)-1 && PyErr_Occurred()))\
                      return (target_type) -1;\
                  if (is_unsigned && unlikely(value < zero))\
                      goto raise_neg_overflow;\
                  else\
                      goto raise_overflow;\
              }\
          }\
          return (target_type) value;\
      }
  
/* 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 CYTHON_INLINE PY_LONG_LONG __Pyx_PyLong_As_PY_LONG_LONG(PyObject *x) {
  #ifdef __Pyx_HAS_GCC_DIAGNOSTIC
  #pragma GCC diagnostic push
  #pragma GCC diagnostic ignored "-Wconversion"
  #endif
      const PY_LONG_LONG neg_one = (PY_LONG_LONG) -1, const_zero = (PY_LONG_LONG) 0;
  #ifdef __Pyx_HAS_GCC_DIAGNOSTIC
  #pragma GCC diagnostic pop
  #endif
      const int is_unsigned = neg_one > const_zero;
      if (unlikely(!PyLong_Check(x))) {
          PY_LONG_LONG val;
          PyObject *tmp = __Pyx_PyNumber_Long(x);
          if (!tmp) return (PY_LONG_LONG) -1;
          val = __Pyx_PyLong_As_PY_LONG_LONG(tmp);
          Py_DECREF(tmp);
          return val;
      }
      if (is_unsigned) {
  #if CYTHON_USE_PYLONG_INTERNALS
          if (unlikely(__Pyx_PyLong_IsNeg(x))) {
              goto raise_neg_overflow;
          } else if (__Pyx_PyLong_IsCompact(x)) {
              __PYX_VERIFY_RETURN_INT(PY_LONG_LONG, __Pyx_compact_upylong, __Pyx_PyLong_CompactValueUnsigned(x))
          } else {
              const digit* digits = __Pyx_PyLong_Digits(x);
              assert(__Pyx_PyLong_DigitCount(x) > 1);
              switch (__Pyx_PyLong_DigitCount(x)) {
                  case 2:
                      if ((8 * sizeof(PY_LONG_LONG) > 1 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(PY_LONG_LONG, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(PY_LONG_LONG) >= 2 * PyLong_SHIFT)) {
                              return (PY_LONG_LONG) (((((PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (PY_LONG_LONG)digits[0]));
                          }
                      }
                      break;
                  case 3:
                      if ((8 * sizeof(PY_LONG_LONG) > 2 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(PY_LONG_LONG, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(PY_LONG_LONG) >= 3 * PyLong_SHIFT)) {
                              return (PY_LONG_LONG) (((((((PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (PY_LONG_LONG)digits[0]));
                          }
                      }
                      break;
                  case 4:
                      if ((8 * sizeof(PY_LONG_LONG) > 3 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(PY_LONG_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(PY_LONG_LONG) >= 4 * PyLong_SHIFT)) {
                              return (PY_LONG_LONG) (((((((((PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (PY_LONG_LONG)digits[0]));
                          }
                      }
                      break;
              }
          }
  #endif
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030C00A7
          if (unlikely(Py_SIZE(x) < 0)) {
              goto raise_neg_overflow;
          }
  #else
          {
              int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
              if (unlikely(result < 0))
                  return (PY_LONG_LONG) -1;
              if (unlikely(result == 1))
                  goto raise_neg_overflow;
          }
  #endif
          if ((sizeof(PY_LONG_LONG) <= sizeof(unsigned long))) {
              __PYX_VERIFY_RETURN_INT_EXC(PY_LONG_LONG, unsigned long, PyLong_AsUnsignedLong(x))
          } else if ((sizeof(PY_LONG_LONG) <= sizeof(unsigned PY_LONG_LONG))) {
              __PYX_VERIFY_RETURN_INT_EXC(PY_LONG_LONG, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
          }
      } else {
  #if CYTHON_USE_PYLONG_INTERNALS
          if (__Pyx_PyLong_IsCompact(x)) {
              __PYX_VERIFY_RETURN_INT(PY_LONG_LONG, __Pyx_compact_pylong, __Pyx_PyLong_CompactValue(x))
          } else {
              const digit* digits = __Pyx_PyLong_Digits(x);
              assert(__Pyx_PyLong_DigitCount(x) > 1);
              switch (__Pyx_PyLong_SignedDigitCount(x)) {
                  case -2:
                      if ((8 * sizeof(PY_LONG_LONG) - 1 > 1 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(PY_LONG_LONG, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT)) {
                              return (PY_LONG_LONG) (((PY_LONG_LONG)-1)*(((((PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (PY_LONG_LONG)digits[0])));
                          }
                      }
                      break;
                  case 2:
                      if ((8 * sizeof(PY_LONG_LONG) > 1 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(PY_LONG_LONG, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT)) {
                              return (PY_LONG_LONG) ((((((PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (PY_LONG_LONG)digits[0])));
                          }
                      }
                      break;
                  case -3:
                      if ((8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(PY_LONG_LONG, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT)) {
                              return (PY_LONG_LONG) (((PY_LONG_LONG)-1)*(((((((PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (PY_LONG_LONG)digits[0])));
                          }
                      }
                      break;
                  case 3:
                      if ((8 * sizeof(PY_LONG_LONG) > 2 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(PY_LONG_LONG, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT)) {
                              return (PY_LONG_LONG) ((((((((PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (PY_LONG_LONG)digits[0])));
                          }
                      }
                      break;
                  case -4:
                      if ((8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(PY_LONG_LONG, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT)) {
                              return (PY_LONG_LONG) (((PY_LONG_LONG)-1)*(((((((((PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (PY_LONG_LONG)digits[0])));
                          }
                      }
                      break;
                  case 4:
                      if ((8 * sizeof(PY_LONG_LONG) > 3 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(PY_LONG_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(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT)) {
                              return (PY_LONG_LONG) ((((((((((PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (PY_LONG_LONG)digits[0])));
                          }
                      }
                      break;
              }
          }
  #endif
          if ((sizeof(PY_LONG_LONG) <= sizeof(long))) {
              __PYX_VERIFY_RETURN_INT_EXC(PY_LONG_LONG, long, PyLong_AsLong(x))
          } else if ((sizeof(PY_LONG_LONG) <= sizeof(PY_LONG_LONG))) {
              __PYX_VERIFY_RETURN_INT_EXC(PY_LONG_LONG, PY_LONG_LONG, PyLong_AsLongLong(x))
          }
      }
      {
          PY_LONG_LONG val;
          int ret = -1;
  #if PY_VERSION_HEX >= 0x030d00A6 && !CYTHON_COMPILING_IN_LIMITED_API
          Py_ssize_t bytes_copied = PyLong_AsNativeBytes(
              x, &val, sizeof(val), Py_ASNATIVEBYTES_NATIVE_ENDIAN | (is_unsigned ? Py_ASNATIVEBYTES_UNSIGNED_BUFFER | Py_ASNATIVEBYTES_REJECT_NEGATIVE : 0));
          if (unlikely(bytes_copied == -1)) {
          } else if (unlikely(bytes_copied > (Py_ssize_t) sizeof(val))) {
              goto raise_overflow;
          } else {
              ret = 0;
          }
  #elif PY_VERSION_HEX < 0x030d0000 && !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API) || defined(_PyLong_AsByteArray)
          int one = 1; int is_little = (int)*(unsigned char *)&one;
          unsigned char *bytes = (unsigned char *)&val;
          ret = _PyLong_AsByteArray((PyLongObject *)x,
                                      bytes, sizeof(val),
                                      is_little, !is_unsigned);
  #else
          PyObject *v;
          PyObject *stepval = NULL, *mask = NULL, *shift = NULL;
          int bits, remaining_bits, is_negative = 0;
          int chunk_size = (sizeof(long) < 8) ? 30 : 62;
          if (likely(PyLong_CheckExact(x))) {
              v = __Pyx_NewRef(x);
          } else {
              v = PyNumber_Long(x);
              if (unlikely(!v)) return (PY_LONG_LONG) -1;
              assert(PyLong_CheckExact(v));
          }
          {
              int result = PyObject_RichCompareBool(v, Py_False, Py_LT);
              if (unlikely(result < 0)) {
                  Py_DECREF(v);
                  return (PY_LONG_LONG) -1;
              }
              is_negative = result == 1;
          }
          if (is_unsigned && unlikely(is_negative)) {
              Py_DECREF(v);
              goto raise_neg_overflow;
          } else if (is_negative) {
              stepval = PyNumber_Invert(v);
              Py_DECREF(v);
              if (unlikely(!stepval))
                  return (PY_LONG_LONG) -1;
          } else {
              stepval = v;
          }
          v = NULL;
          val = (PY_LONG_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(PY_LONG_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 |= ((PY_LONG_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(PY_LONG_LONG) * 8) - bits - (is_unsigned ? 0 : 1);
              if (unlikely(idigit >= (1L << remaining_bits)))
                  goto raise_overflow;
              val |= ((PY_LONG_LONG) idigit) << bits;
          }
          if (!is_unsigned) {
              if (unlikely(val & (((PY_LONG_LONG) 1) << (sizeof(PY_LONG_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 (PY_LONG_LONG) -1;
          return val;
      }
  raise_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "value too large to convert to PY_LONG_LONG");
      return (PY_LONG_LONG) -1;
  raise_neg_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "can't convert negative value to PY_LONG_LONG");
      return (PY_LONG_LONG) -1;
  }
  
/* CIntToPy */
  static CYTHON_INLINE PyObject* __Pyx_PyLong_From_PY_LONG_LONG(PY_LONG_LONG value) {
  #ifdef __Pyx_HAS_GCC_DIAGNOSTIC
  #pragma GCC diagnostic push
  #pragma GCC diagnostic ignored "-Wconversion"
  #endif
      const PY_LONG_LONG neg_one = (PY_LONG_LONG) -1, const_zero = (PY_LONG_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(PY_LONG_LONG) < sizeof(long)) {
              return PyLong_FromLong((long) value);
          } else if (sizeof(PY_LONG_LONG) <= sizeof(unsigned long)) {
              return PyLong_FromUnsignedLong((unsigned long) value);
  #if !CYTHON_COMPILING_IN_PYPY
          } else if (sizeof(PY_LONG_LONG) <= sizeof(unsigned PY_LONG_LONG)) {
              return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
  #endif
          }
      } else {
          if (sizeof(PY_LONG_LONG) <= sizeof(long)) {
              return PyLong_FromLong((long) value);
          } else if (sizeof(PY_LONG_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(PY_LONG_LONG),
                                       little, !is_unsigned);
  #else
          int one = 1; int little = (int)*(unsigned char *)&one;
          PyObject *from_bytes, *result = NULL, *kwds = NULL;
          PyObject *py_bytes = NULL, *order_str = NULL;
          from_bytes = PyObject_GetAttrString((PyObject*)&PyLong_Type, "from_bytes");
          if (!from_bytes) return NULL;
          py_bytes = PyBytes_FromStringAndSize((char*)bytes, sizeof(PY_LONG_LONG));
          if (!py_bytes) goto limited_bad;
          order_str = PyUnicode_FromString(little ? "little" : "big");
          if (!order_str) goto limited_bad;
          {
              PyObject *args[3+(CYTHON_VECTORCALL ? 1 : 0)] = { NULL, py_bytes, order_str };
              if (!is_unsigned) {
                  kwds = __Pyx_MakeVectorcallBuilderKwds(1);
                  if (!kwds) goto limited_bad;
                  if (__Pyx_VectorcallBuilder_AddArgStr("signed", __Pyx_NewRef(Py_True), kwds, args+3, 0) < 0) goto limited_bad;
              }
              result = __Pyx_Object_Vectorcall_CallFromBuilder(from_bytes, args+1, 2 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET, kwds);
          }
          limited_bad:
          Py_XDECREF(kwds);
          Py_XDECREF(order_str);
          Py_XDECREF(py_bytes);
          Py_XDECREF(from_bytes);
          return result;
  #endif
      }
  }
  
/* CIntToPy */
  static CYTHON_INLINE PyObject* __Pyx_PyLong_From_long(long value) {
  #ifdef __Pyx_HAS_GCC_DIAGNOSTIC
  #pragma GCC diagnostic push
  #pragma GCC diagnostic ignored "-Wconversion"
  #endif
      const long neg_one = (long) -1, const_zero = (long) 0;
  #ifdef __Pyx_HAS_GCC_DIAGNOSTIC
  #pragma GCC diagnostic pop
  #endif
      const int is_unsigned = neg_one > const_zero;
      if (is_unsigned) {
          if (sizeof(long) < sizeof(long)) {
              return PyLong_FromLong((long) value);
          } else if (sizeof(long) <= sizeof(unsigned long)) {
              return PyLong_FromUnsignedLong((unsigned long) value);
  #if !CYTHON_COMPILING_IN_PYPY
          } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
              return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
  #endif
          }
      } else {
          if (sizeof(long) <= sizeof(long)) {
              return PyLong_FromLong((long) value);
          } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
              return PyLong_FromLongLong((PY_LONG_LONG) value);
          }
      }
      {
          unsigned char *bytes = (unsigned char *)&value;
  #if !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x030d00A4
          if (is_unsigned) {
              return PyLong_FromUnsignedNativeBytes(bytes, sizeof(value), -1);
          } else {
              return PyLong_FromNativeBytes(bytes, sizeof(value), -1);
          }
  #elif !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030d0000
          int one = 1; int little = (int)*(unsigned char *)&one;
          return _PyLong_FromByteArray(bytes, sizeof(long),
                                       little, !is_unsigned);
  #else
          int one = 1; int little = (int)*(unsigned char *)&one;
          PyObject *from_bytes, *result = NULL, *kwds = NULL;
          PyObject *py_bytes = NULL, *order_str = NULL;
          from_bytes = PyObject_GetAttrString((PyObject*)&PyLong_Type, "from_bytes");
          if (!from_bytes) return NULL;
          py_bytes = PyBytes_FromStringAndSize((char*)bytes, sizeof(long));
          if (!py_bytes) goto limited_bad;
          order_str = PyUnicode_FromString(little ? "little" : "big");
          if (!order_str) goto limited_bad;
          {
              PyObject *args[3+(CYTHON_VECTORCALL ? 1 : 0)] = { NULL, py_bytes, order_str };
              if (!is_unsigned) {
                  kwds = __Pyx_MakeVectorcallBuilderKwds(1);
                  if (!kwds) goto limited_bad;
                  if (__Pyx_VectorcallBuilder_AddArgStr("signed", __Pyx_NewRef(Py_True), kwds, args+3, 0) < 0) goto limited_bad;
              }
              result = __Pyx_Object_Vectorcall_CallFromBuilder(from_bytes, args+1, 2 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET, kwds);
          }
          limited_bad:
          Py_XDECREF(kwds);
          Py_XDECREF(order_str);
          Py_XDECREF(py_bytes);
          Py_XDECREF(from_bytes);
          return result;
  #endif
      }
  }
  
/* CIntToPy */
  static CYTHON_INLINE PyObject* __Pyx_PyLong_From_npy_int64(npy_int64 value) {
  #ifdef __Pyx_HAS_GCC_DIAGNOSTIC
  #pragma GCC diagnostic push
  #pragma GCC diagnostic ignored "-Wconversion"
  #endif
      const npy_int64 neg_one = (npy_int64) -1, const_zero = (npy_int64) 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_int64) < sizeof(long)) {
              return PyLong_FromLong((long) value);
          } else if (sizeof(npy_int64) <= sizeof(unsigned long)) {
              return PyLong_FromUnsignedLong((unsigned long) value);
  #if !CYTHON_COMPILING_IN_PYPY
          } else if (sizeof(npy_int64) <= sizeof(unsigned PY_LONG_LONG)) {
              return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
  #endif
          }
      } else {
          if (sizeof(npy_int64) <= sizeof(long)) {
              return PyLong_FromLong((long) value);
          } else if (sizeof(npy_int64) <= 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_int64),
                                       little, !is_unsigned);
  #else
          int one = 1; int little = (int)*(unsigned char *)&one;
          PyObject *from_bytes, *result = NULL, *kwds = NULL;
          PyObject *py_bytes = NULL, *order_str = NULL;
          from_bytes = PyObject_GetAttrString((PyObject*)&PyLong_Type, "from_bytes");
          if (!from_bytes) return NULL;
          py_bytes = PyBytes_FromStringAndSize((char*)bytes, sizeof(npy_int64));
          if (!py_bytes) goto limited_bad;
          order_str = PyUnicode_FromString(little ? "little" : "big");
          if (!order_str) goto limited_bad;
          {
              PyObject *args[3+(CYTHON_VECTORCALL ? 1 : 0)] = { NULL, py_bytes, order_str };
              if (!is_unsigned) {
                  kwds = __Pyx_MakeVectorcallBuilderKwds(1);
                  if (!kwds) goto limited_bad;
                  if (__Pyx_VectorcallBuilder_AddArgStr("signed", __Pyx_NewRef(Py_True), kwds, args+3, 0) < 0) goto limited_bad;
              }
              result = __Pyx_Object_Vectorcall_CallFromBuilder(from_bytes, args+1, 2 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET, kwds);
          }
          limited_bad:
          Py_XDECREF(kwds);
          Py_XDECREF(order_str);
          Py_XDECREF(py_bytes);
          Py_XDECREF(from_bytes);
          return result;
  #endif
      }
  }
  
/* CIntFromPy */
  static CYTHON_INLINE npy_int64 __Pyx_PyLong_As_npy_int64(PyObject *x) {
  #ifdef __Pyx_HAS_GCC_DIAGNOSTIC
  #pragma GCC diagnostic push
  #pragma GCC diagnostic ignored "-Wconversion"
  #endif
      const npy_int64 neg_one = (npy_int64) -1, const_zero = (npy_int64) 0;
  #ifdef __Pyx_HAS_GCC_DIAGNOSTIC
  #pragma GCC diagnostic pop
  #endif
      const int is_unsigned = neg_one > const_zero;
      if (unlikely(!PyLong_Check(x))) {
          npy_int64 val;
          PyObject *tmp = __Pyx_PyNumber_Long(x);
          if (!tmp) return (npy_int64) -1;
          val = __Pyx_PyLong_As_npy_int64(tmp);
          Py_DECREF(tmp);
          return val;
      }
      if (is_unsigned) {
  #if CYTHON_USE_PYLONG_INTERNALS
          if (unlikely(__Pyx_PyLong_IsNeg(x))) {
              goto raise_neg_overflow;
          } else if (__Pyx_PyLong_IsCompact(x)) {
              __PYX_VERIFY_RETURN_INT(npy_int64, __Pyx_compact_upylong, __Pyx_PyLong_CompactValueUnsigned(x))
          } else {
              const digit* digits = __Pyx_PyLong_Digits(x);
              assert(__Pyx_PyLong_DigitCount(x) > 1);
              switch (__Pyx_PyLong_DigitCount(x)) {
                  case 2:
                      if ((8 * sizeof(npy_int64) > 1 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(npy_int64, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(npy_int64) >= 2 * PyLong_SHIFT)) {
                              return (npy_int64) (((((npy_int64)digits[1]) << PyLong_SHIFT) | (npy_int64)digits[0]));
                          }
                      }
                      break;
                  case 3:
                      if ((8 * sizeof(npy_int64) > 2 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(npy_int64, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(npy_int64) >= 3 * PyLong_SHIFT)) {
                              return (npy_int64) (((((((npy_int64)digits[2]) << PyLong_SHIFT) | (npy_int64)digits[1]) << PyLong_SHIFT) | (npy_int64)digits[0]));
                          }
                      }
                      break;
                  case 4:
                      if ((8 * sizeof(npy_int64) > 3 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(npy_int64, 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_int64) >= 4 * PyLong_SHIFT)) {
                              return (npy_int64) (((((((((npy_int64)digits[3]) << PyLong_SHIFT) | (npy_int64)digits[2]) << PyLong_SHIFT) | (npy_int64)digits[1]) << PyLong_SHIFT) | (npy_int64)digits[0]));
                          }
                      }
                      break;
              }
          }
  #endif
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030C00A7
          if (unlikely(Py_SIZE(x) < 0)) {
              goto raise_neg_overflow;
          }
  #else
          {
              int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
              if (unlikely(result < 0))
                  return (npy_int64) -1;
              if (unlikely(result == 1))
                  goto raise_neg_overflow;
          }
  #endif
          if ((sizeof(npy_int64) <= sizeof(unsigned long))) {
              __PYX_VERIFY_RETURN_INT_EXC(npy_int64, unsigned long, PyLong_AsUnsignedLong(x))
          } else if ((sizeof(npy_int64) <= sizeof(unsigned PY_LONG_LONG))) {
              __PYX_VERIFY_RETURN_INT_EXC(npy_int64, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
          }
      } else {
  #if CYTHON_USE_PYLONG_INTERNALS
          if (__Pyx_PyLong_IsCompact(x)) {
              __PYX_VERIFY_RETURN_INT(npy_int64, __Pyx_compact_pylong, __Pyx_PyLong_CompactValue(x))
          } else {
              const digit* digits = __Pyx_PyLong_Digits(x);
              assert(__Pyx_PyLong_DigitCount(x) > 1);
              switch (__Pyx_PyLong_SignedDigitCount(x)) {
                  case -2:
                      if ((8 * sizeof(npy_int64) - 1 > 1 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(npy_int64, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(npy_int64) - 1 > 2 * PyLong_SHIFT)) {
                              return (npy_int64) (((npy_int64)-1)*(((((npy_int64)digits[1]) << PyLong_SHIFT) | (npy_int64)digits[0])));
                          }
                      }
                      break;
                  case 2:
                      if ((8 * sizeof(npy_int64) > 1 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(npy_int64, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(npy_int64) - 1 > 2 * PyLong_SHIFT)) {
                              return (npy_int64) ((((((npy_int64)digits[1]) << PyLong_SHIFT) | (npy_int64)digits[0])));
                          }
                      }
                      break;
                  case -3:
                      if ((8 * sizeof(npy_int64) - 1 > 2 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(npy_int64, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(npy_int64) - 1 > 3 * PyLong_SHIFT)) {
                              return (npy_int64) (((npy_int64)-1)*(((((((npy_int64)digits[2]) << PyLong_SHIFT) | (npy_int64)digits[1]) << PyLong_SHIFT) | (npy_int64)digits[0])));
                          }
                      }
                      break;
                  case 3:
                      if ((8 * sizeof(npy_int64) > 2 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(npy_int64, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(npy_int64) - 1 > 3 * PyLong_SHIFT)) {
                              return (npy_int64) ((((((((npy_int64)digits[2]) << PyLong_SHIFT) | (npy_int64)digits[1]) << PyLong_SHIFT) | (npy_int64)digits[0])));
                          }
                      }
                      break;
                  case -4:
                      if ((8 * sizeof(npy_int64) - 1 > 3 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(npy_int64, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(npy_int64) - 1 > 4 * PyLong_SHIFT)) {
                              return (npy_int64) (((npy_int64)-1)*(((((((((npy_int64)digits[3]) << PyLong_SHIFT) | (npy_int64)digits[2]) << PyLong_SHIFT) | (npy_int64)digits[1]) << PyLong_SHIFT) | (npy_int64)digits[0])));
                          }
                      }
                      break;
                  case 4:
                      if ((8 * sizeof(npy_int64) > 3 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(npy_int64, 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_int64) - 1 > 4 * PyLong_SHIFT)) {
                              return (npy_int64) ((((((((((npy_int64)digits[3]) << PyLong_SHIFT) | (npy_int64)digits[2]) << PyLong_SHIFT) | (npy_int64)digits[1]) << PyLong_SHIFT) | (npy_int64)digits[0])));
                          }
                      }
                      break;
              }
          }
  #endif
          if ((sizeof(npy_int64) <= sizeof(long))) {
              __PYX_VERIFY_RETURN_INT_EXC(npy_int64, long, PyLong_AsLong(x))
          } else if ((sizeof(npy_int64) <= sizeof(PY_LONG_LONG))) {
              __PYX_VERIFY_RETURN_INT_EXC(npy_int64, PY_LONG_LONG, PyLong_AsLongLong(x))
          }
      }
      {
          npy_int64 val;
          int ret = -1;
  #if PY_VERSION_HEX >= 0x030d00A6 && !CYTHON_COMPILING_IN_LIMITED_API
          Py_ssize_t bytes_copied = PyLong_AsNativeBytes(
              x, &val, sizeof(val), Py_ASNATIVEBYTES_NATIVE_ENDIAN | (is_unsigned ? Py_ASNATIVEBYTES_UNSIGNED_BUFFER | Py_ASNATIVEBYTES_REJECT_NEGATIVE : 0));
          if (unlikely(bytes_copied == -1)) {
          } else if (unlikely(bytes_copied > (Py_ssize_t) sizeof(val))) {
              goto raise_overflow;
          } else {
              ret = 0;
          }
  #elif PY_VERSION_HEX < 0x030d0000 && !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API) || defined(_PyLong_AsByteArray)
          int one = 1; int is_little = (int)*(unsigned char *)&one;
          unsigned char *bytes = (unsigned char *)&val;
          ret = _PyLong_AsByteArray((PyLongObject *)x,
                                      bytes, sizeof(val),
                                      is_little, !is_unsigned);
  #else
          PyObject *v;
          PyObject *stepval = NULL, *mask = NULL, *shift = NULL;
          int bits, remaining_bits, is_negative = 0;
          int chunk_size = (sizeof(long) < 8) ? 30 : 62;
          if (likely(PyLong_CheckExact(x))) {
              v = __Pyx_NewRef(x);
          } else {
              v = PyNumber_Long(x);
              if (unlikely(!v)) return (npy_int64) -1;
              assert(PyLong_CheckExact(v));
          }
          {
              int result = PyObject_RichCompareBool(v, Py_False, Py_LT);
              if (unlikely(result < 0)) {
                  Py_DECREF(v);
                  return (npy_int64) -1;
              }
              is_negative = result == 1;
          }
          if (is_unsigned && unlikely(is_negative)) {
              Py_DECREF(v);
              goto raise_neg_overflow;
          } else if (is_negative) {
              stepval = PyNumber_Invert(v);
              Py_DECREF(v);
              if (unlikely(!stepval))
                  return (npy_int64) -1;
          } else {
              stepval = v;
          }
          v = NULL;
          val = (npy_int64) 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_int64) * 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_int64) 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_int64) * 8) - bits - (is_unsigned ? 0 : 1);
              if (unlikely(idigit >= (1L << remaining_bits)))
                  goto raise_overflow;
              val |= ((npy_int64) idigit) << bits;
          }
          if (!is_unsigned) {
              if (unlikely(val & (((npy_int64) 1) << (sizeof(npy_int64) * 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_int64) -1;
          return val;
      }
  raise_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "value too large to convert to npy_int64");
      return (npy_int64) -1;
  raise_neg_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "can't convert negative value to npy_int64");
      return (npy_int64) -1;
  }
  
/* FormatTypeName */
  #if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030d0000
  static __Pyx_TypeName
  __Pyx_PyType_GetFullyQualifiedName(PyTypeObject* tp)
  {
      PyObject *module = NULL, *name = NULL, *result = NULL;
      #if __PYX_LIMITED_VERSION_HEX < 0x030b0000
      name = __Pyx_PyObject_GetAttrStr((PyObject *)tp,
                                                 __pyx_mstate_global->__pyx_n_u_qualname);
      #else
      name = PyType_GetQualName(tp);
      #endif
      if (unlikely(name == NULL) || unlikely(!PyUnicode_Check(name))) goto bad;
      module = __Pyx_PyObject_GetAttrStr((PyObject *)tp,
                                                 __pyx_mstate_global->__pyx_n_u_module);
      if (unlikely(module == NULL) || unlikely(!PyUnicode_Check(module))) goto bad;
      if (PyUnicode_CompareWithASCIIString(module, "builtins") == 0) {
          result = name;
          name = NULL;
          goto done;
      }
      result = PyUnicode_FromFormat("%U.%U", module, name);
      if (unlikely(result == NULL)) goto bad;
    done:
      Py_XDECREF(name);
      Py_XDECREF(module);
      return result;
    bad:
      PyErr_Clear();
      if (name) {
          result = name;
          name = NULL;
      } else {
          result = __Pyx_NewRef(__pyx_mstate_global->__pyx_kp_u__6);
      }
      goto done;
  }
  #endif
  
/* CIntFromPy */
  static CYTHON_INLINE long __Pyx_PyLong_As_long(PyObject *x) {
  #ifdef __Pyx_HAS_GCC_DIAGNOSTIC
  #pragma GCC diagnostic push
  #pragma GCC diagnostic ignored "-Wconversion"
  #endif
      const long neg_one = (long) -1, const_zero = (long) 0;
  #ifdef __Pyx_HAS_GCC_DIAGNOSTIC
  #pragma GCC diagnostic pop
  #endif
      const int is_unsigned = neg_one > const_zero;
      if (unlikely(!PyLong_Check(x))) {
          long val;
          PyObject *tmp = __Pyx_PyNumber_Long(x);
          if (!tmp) return (long) -1;
          val = __Pyx_PyLong_As_long(tmp);
          Py_DECREF(tmp);
          return val;
      }
      if (is_unsigned) {
  #if CYTHON_USE_PYLONG_INTERNALS
          if (unlikely(__Pyx_PyLong_IsNeg(x))) {
              goto raise_neg_overflow;
          } else if (__Pyx_PyLong_IsCompact(x)) {
              __PYX_VERIFY_RETURN_INT(long, __Pyx_compact_upylong, __Pyx_PyLong_CompactValueUnsigned(x))
          } else {
              const digit* digits = __Pyx_PyLong_Digits(x);
              assert(__Pyx_PyLong_DigitCount(x) > 1);
              switch (__Pyx_PyLong_DigitCount(x)) {
                  case 2:
                      if ((8 * sizeof(long) > 1 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(long) >= 2 * PyLong_SHIFT)) {
                              return (long) (((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                          }
                      }
                      break;
                  case 3:
                      if ((8 * sizeof(long) > 2 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(long) >= 3 * PyLong_SHIFT)) {
                              return (long) (((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                          }
                      }
                      break;
                  case 4:
                      if ((8 * sizeof(long) > 3 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(long) >= 4 * PyLong_SHIFT)) {
                              return (long) (((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                          }
                      }
                      break;
              }
          }
  #endif
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030C00A7
          if (unlikely(Py_SIZE(x) < 0)) {
              goto raise_neg_overflow;
          }
  #else
          {
              int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
              if (unlikely(result < 0))
                  return (long) -1;
              if (unlikely(result == 1))
                  goto raise_neg_overflow;
          }
  #endif
          if ((sizeof(long) <= sizeof(unsigned long))) {
              __PYX_VERIFY_RETURN_INT_EXC(long, unsigned long, PyLong_AsUnsignedLong(x))
          } else if ((sizeof(long) <= sizeof(unsigned PY_LONG_LONG))) {
              __PYX_VERIFY_RETURN_INT_EXC(long, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
          }
      } else {
  #if CYTHON_USE_PYLONG_INTERNALS
          if (__Pyx_PyLong_IsCompact(x)) {
              __PYX_VERIFY_RETURN_INT(long, __Pyx_compact_pylong, __Pyx_PyLong_CompactValue(x))
          } else {
              const digit* digits = __Pyx_PyLong_Digits(x);
              assert(__Pyx_PyLong_DigitCount(x) > 1);
              switch (__Pyx_PyLong_SignedDigitCount(x)) {
                  case -2:
                      if ((8 * sizeof(long) - 1 > 1 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(long) - 1 > 2 * PyLong_SHIFT)) {
                              return (long) (((long)-1)*(((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                          }
                      }
                      break;
                  case 2:
                      if ((8 * sizeof(long) > 1 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(long) - 1 > 2 * PyLong_SHIFT)) {
                              return (long) ((((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                          }
                      }
                      break;
                  case -3:
                      if ((8 * sizeof(long) - 1 > 2 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(long) - 1 > 3 * PyLong_SHIFT)) {
                              return (long) (((long)-1)*(((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                          }
                      }
                      break;
                  case 3:
                      if ((8 * sizeof(long) > 2 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(long) - 1 > 3 * PyLong_SHIFT)) {
                              return (long) ((((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                          }
                      }
                      break;
                  case -4:
                      if ((8 * sizeof(long) - 1 > 3 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(long) - 1 > 4 * PyLong_SHIFT)) {
                              return (long) (((long)-1)*(((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                          }
                      }
                      break;
                  case 4:
                      if ((8 * sizeof(long) > 3 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(long) - 1 > 4 * PyLong_SHIFT)) {
                              return (long) ((((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                          }
                      }
                      break;
              }
          }
  #endif
          if ((sizeof(long) <= sizeof(long))) {
              __PYX_VERIFY_RETURN_INT_EXC(long, long, PyLong_AsLong(x))
          } else if ((sizeof(long) <= sizeof(PY_LONG_LONG))) {
              __PYX_VERIFY_RETURN_INT_EXC(long, PY_LONG_LONG, PyLong_AsLongLong(x))
          }
      }
      {
          long val;
          int ret = -1;
  #if PY_VERSION_HEX >= 0x030d00A6 && !CYTHON_COMPILING_IN_LIMITED_API
          Py_ssize_t bytes_copied = PyLong_AsNativeBytes(
              x, &val, sizeof(val), Py_ASNATIVEBYTES_NATIVE_ENDIAN | (is_unsigned ? Py_ASNATIVEBYTES_UNSIGNED_BUFFER | Py_ASNATIVEBYTES_REJECT_NEGATIVE : 0));
          if (unlikely(bytes_copied == -1)) {
          } else if (unlikely(bytes_copied > (Py_ssize_t) sizeof(val))) {
              goto raise_overflow;
          } else {
              ret = 0;
          }
  #elif PY_VERSION_HEX < 0x030d0000 && !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API) || defined(_PyLong_AsByteArray)
          int one = 1; int is_little = (int)*(unsigned char *)&one;
          unsigned char *bytes = (unsigned char *)&val;
          ret = _PyLong_AsByteArray((PyLongObject *)x,
                                      bytes, sizeof(val),
                                      is_little, !is_unsigned);
  #else
          PyObject *v;
          PyObject *stepval = NULL, *mask = NULL, *shift = NULL;
          int bits, remaining_bits, is_negative = 0;
          int chunk_size = (sizeof(long) < 8) ? 30 : 62;
          if (likely(PyLong_CheckExact(x))) {
              v = __Pyx_NewRef(x);
          } else {
              v = PyNumber_Long(x);
              if (unlikely(!v)) return (long) -1;
              assert(PyLong_CheckExact(v));
          }
          {
              int result = PyObject_RichCompareBool(v, Py_False, Py_LT);
              if (unlikely(result < 0)) {
                  Py_DECREF(v);
                  return (long) -1;
              }
              is_negative = result == 1;
          }
          if (is_unsigned && unlikely(is_negative)) {
              Py_DECREF(v);
              goto raise_neg_overflow;
          } else if (is_negative) {
              stepval = PyNumber_Invert(v);
              Py_DECREF(v);
              if (unlikely(!stepval))
                  return (long) -1;
          } else {
              stepval = v;
          }
          v = NULL;
          val = (long) 0;
          mask = PyLong_FromLong((1L << chunk_size) - 1); if (unlikely(!mask)) goto done;
          shift = PyLong_FromLong(chunk_size); if (unlikely(!shift)) goto done;
          for (bits = 0; bits < (int) sizeof(long) * 8 - chunk_size; bits += chunk_size) {
              PyObject *tmp, *digit;
              long idigit;
              digit = PyNumber_And(stepval, mask);
              if (unlikely(!digit)) goto done;
              idigit = PyLong_AsLong(digit);
              Py_DECREF(digit);
              if (unlikely(idigit < 0)) goto done;
              val |= ((long) idigit) << bits;
              tmp = PyNumber_Rshift(stepval, shift);
              if (unlikely(!tmp)) goto done;
              Py_DECREF(stepval); stepval = tmp;
          }
          Py_DECREF(shift); shift = NULL;
          Py_DECREF(mask); mask = NULL;
          {
              long idigit = PyLong_AsLong(stepval);
              if (unlikely(idigit < 0)) goto done;
              remaining_bits = ((int) sizeof(long) * 8) - bits - (is_unsigned ? 0 : 1);
              if (unlikely(idigit >= (1L << remaining_bits)))
                  goto raise_overflow;
              val |= ((long) idigit) << bits;
          }
          if (!is_unsigned) {
              if (unlikely(val & (((long) 1) << (sizeof(long) * 8 - 1))))
                  goto raise_overflow;
              if (is_negative)
                  val = ~val;
          }
          ret = 0;
      done:
          Py_XDECREF(shift);
          Py_XDECREF(mask);
          Py_XDECREF(stepval);
  #endif
          if (unlikely(ret))
              return (long) -1;
          return val;
      }
  raise_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "value too large to convert to long");
      return (long) -1;
  raise_neg_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "can't convert negative value to long");
      return (long) -1;
  }
  
/* CIntFromPy */
  static CYTHON_INLINE int __Pyx_PyLong_As_int(PyObject *x) {
  #ifdef __Pyx_HAS_GCC_DIAGNOSTIC
  #pragma GCC diagnostic push
  #pragma GCC diagnostic ignored "-Wconversion"
  #endif
      const int neg_one = (int) -1, const_zero = (int) 0;
  #ifdef __Pyx_HAS_GCC_DIAGNOSTIC
  #pragma GCC diagnostic pop
  #endif
      const int is_unsigned = neg_one > const_zero;
      if (unlikely(!PyLong_Check(x))) {
          int val;
          PyObject *tmp = __Pyx_PyNumber_Long(x);
          if (!tmp) return (int) -1;
          val = __Pyx_PyLong_As_int(tmp);
          Py_DECREF(tmp);
          return val;
      }
      if (is_unsigned) {
  #if CYTHON_USE_PYLONG_INTERNALS
          if (unlikely(__Pyx_PyLong_IsNeg(x))) {
              goto raise_neg_overflow;
          } else if (__Pyx_PyLong_IsCompact(x)) {
              __PYX_VERIFY_RETURN_INT(int, __Pyx_compact_upylong, __Pyx_PyLong_CompactValueUnsigned(x))
          } else {
              const digit* digits = __Pyx_PyLong_Digits(x);
              assert(__Pyx_PyLong_DigitCount(x) > 1);
              switch (__Pyx_PyLong_DigitCount(x)) {
                  case 2:
                      if ((8 * sizeof(int) > 1 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(int) >= 2 * PyLong_SHIFT)) {
                              return (int) (((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                          }
                      }
                      break;
                  case 3:
                      if ((8 * sizeof(int) > 2 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(int) >= 3 * PyLong_SHIFT)) {
                              return (int) (((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                          }
                      }
                      break;
                  case 4:
                      if ((8 * sizeof(int) > 3 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(int) >= 4 * PyLong_SHIFT)) {
                              return (int) (((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                          }
                      }
                      break;
              }
          }
  #endif
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030C00A7
          if (unlikely(Py_SIZE(x) < 0)) {
              goto raise_neg_overflow;
          }
  #else
          {
              int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
              if (unlikely(result < 0))
                  return (int) -1;
              if (unlikely(result == 1))
                  goto raise_neg_overflow;
          }
  #endif
          if ((sizeof(int) <= sizeof(unsigned long))) {
              __PYX_VERIFY_RETURN_INT_EXC(int, unsigned long, PyLong_AsUnsignedLong(x))
          } else if ((sizeof(int) <= sizeof(unsigned PY_LONG_LONG))) {
              __PYX_VERIFY_RETURN_INT_EXC(int, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
          }
      } else {
  #if CYTHON_USE_PYLONG_INTERNALS
          if (__Pyx_PyLong_IsCompact(x)) {
              __PYX_VERIFY_RETURN_INT(int, __Pyx_compact_pylong, __Pyx_PyLong_CompactValue(x))
          } else {
              const digit* digits = __Pyx_PyLong_Digits(x);
              assert(__Pyx_PyLong_DigitCount(x) > 1);
              switch (__Pyx_PyLong_SignedDigitCount(x)) {
                  case -2:
                      if ((8 * sizeof(int) - 1 > 1 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(int) - 1 > 2 * PyLong_SHIFT)) {
                              return (int) (((int)-1)*(((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                          }
                      }
                      break;
                  case 2:
                      if ((8 * sizeof(int) > 1 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(int) - 1 > 2 * PyLong_SHIFT)) {
                              return (int) ((((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                          }
                      }
                      break;
                  case -3:
                      if ((8 * sizeof(int) - 1 > 2 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(int) - 1 > 3 * PyLong_SHIFT)) {
                              return (int) (((int)-1)*(((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                          }
                      }
                      break;
                  case 3:
                      if ((8 * sizeof(int) > 2 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(int) - 1 > 3 * PyLong_SHIFT)) {
                              return (int) ((((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                          }
                      }
                      break;
                  case -4:
                      if ((8 * sizeof(int) - 1 > 3 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(int) - 1 > 4 * PyLong_SHIFT)) {
                              return (int) (((int)-1)*(((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                          }
                      }
                      break;
                  case 4:
                      if ((8 * sizeof(int) > 3 * PyLong_SHIFT)) {
                          if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                              __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if ((8 * sizeof(int) - 1 > 4 * PyLong_SHIFT)) {
                              return (int) ((((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                          }
                      }
                      break;
              }
          }
  #endif
          if ((sizeof(int) <= sizeof(long))) {
              __PYX_VERIFY_RETURN_INT_EXC(int, long, PyLong_AsLong(x))
          } else if ((sizeof(int) <= sizeof(PY_LONG_LONG))) {
              __PYX_VERIFY_RETURN_INT_EXC(int, PY_LONG_LONG, PyLong_AsLongLong(x))
          }
      }
      {
          int val;
          int ret = -1;
  #if PY_VERSION_HEX >= 0x030d00A6 && !CYTHON_COMPILING_IN_LIMITED_API
          Py_ssize_t bytes_copied = PyLong_AsNativeBytes(
              x, &val, sizeof(val), Py_ASNATIVEBYTES_NATIVE_ENDIAN | (is_unsigned ? Py_ASNATIVEBYTES_UNSIGNED_BUFFER | Py_ASNATIVEBYTES_REJECT_NEGATIVE : 0));
          if (unlikely(bytes_copied == -1)) {
          } else if (unlikely(bytes_copied > (Py_ssize_t) sizeof(val))) {
              goto raise_overflow;
          } else {
              ret = 0;
          }
  #elif PY_VERSION_HEX < 0x030d0000 && !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API) || defined(_PyLong_AsByteArray)
          int one = 1; int is_little = (int)*(unsigned char *)&one;
          unsigned char *bytes = (unsigned char *)&val;
          ret = _PyLong_AsByteArray((PyLongObject *)x,
                                      bytes, sizeof(val),
                                      is_little, !is_unsigned);
  #else
          PyObject *v;
          PyObject *stepval = NULL, *mask = NULL, *shift = NULL;
          int bits, remaining_bits, is_negative = 0;
          int chunk_size = (sizeof(long) < 8) ? 30 : 62;
          if (likely(PyLong_CheckExact(x))) {
              v = __Pyx_NewRef(x);
          } else {
              v = PyNumber_Long(x);
              if (unlikely(!v)) return (int) -1;
              assert(PyLong_CheckExact(v));
          }
          {
              int result = PyObject_RichCompareBool(v, Py_False, Py_LT);
              if (unlikely(result < 0)) {
                  Py_DECREF(v);
                  return (int) -1;
              }
              is_negative = result == 1;
          }
          if (is_unsigned && unlikely(is_negative)) {
              Py_DECREF(v);
              goto raise_neg_overflow;
          } else if (is_negative) {
              stepval = PyNumber_Invert(v);
              Py_DECREF(v);
              if (unlikely(!stepval))
                  return (int) -1;
          } else {
              stepval = v;
          }
          v = NULL;
          val = (int) 0;
          mask = PyLong_FromLong((1L << chunk_size) - 1); if (unlikely(!mask)) goto done;
          shift = PyLong_FromLong(chunk_size); if (unlikely(!shift)) goto done;
          for (bits = 0; bits < (int) sizeof(int) * 8 - chunk_size; bits += chunk_size) {
              PyObject *tmp, *digit;
              long idigit;
              digit = PyNumber_And(stepval, mask);
              if (unlikely(!digit)) goto done;
              idigit = PyLong_AsLong(digit);
              Py_DECREF(digit);
              if (unlikely(idigit < 0)) goto done;
              val |= ((int) idigit) << bits;
              tmp = PyNumber_Rshift(stepval, shift);
              if (unlikely(!tmp)) goto done;
              Py_DECREF(stepval); stepval = tmp;
          }
          Py_DECREF(shift); shift = NULL;
          Py_DECREF(mask); mask = NULL;
          {
              long idigit = PyLong_AsLong(stepval);
              if (unlikely(idigit < 0)) goto done;
              remaining_bits = ((int) sizeof(int) * 8) - bits - (is_unsigned ? 0 : 1);
              if (unlikely(idigit >= (1L << remaining_bits)))
                  goto raise_overflow;
              val |= ((int) idigit) << bits;
          }
          if (!is_unsigned) {
              if (unlikely(val & (((int) 1) << (sizeof(int) * 8 - 1))))
                  goto raise_overflow;
              if (is_negative)
                  val = ~val;
          }
          ret = 0;
      done:
          Py_XDECREF(shift);
          Py_XDECREF(mask);
          Py_XDECREF(stepval);
  #endif
          if (unlikely(ret))
              return (int) -1;
          return val;
      }
  raise_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "value too large to convert to int");
      return (int) -1;
  raise_neg_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "can't convert negative value to int");
      return (int) -1;
  }
  
/* FastTypeChecks */
  #if CYTHON_COMPILING_IN_CPYTHON
  static int __Pyx_InBases(PyTypeObject *a, PyTypeObject *b) {
      while (a) {
          a = __Pyx_PyType_GetSlot(a, tp_base, PyTypeObject*);
          if (a == b)
              return 1;
      }
      return b == &PyBaseObject_Type;
  }
  static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b) {
      PyObject *mro;
      if (a == b) return 1;
      mro = a->tp_mro;
      if (likely(mro)) {
          Py_ssize_t i, n;
          n = PyTuple_GET_SIZE(mro);
          for (i = 0; i < n; i++) {
              if (PyTuple_GET_ITEM(mro, i) == (PyObject *)b)
                  return 1;
          }
          return 0;
      }
      return __Pyx_InBases(a, b);
  }
  static CYTHON_INLINE int __Pyx_IsAnySubtype2(PyTypeObject *cls, PyTypeObject *a, PyTypeObject *b) {
      PyObject *mro;
      if (cls == a || cls == b) return 1;
      mro = cls->tp_mro;
      if (likely(mro)) {
          Py_ssize_t i, n;
          n = PyTuple_GET_SIZE(mro);
          for (i = 0; i < n; i++) {
              PyObject *base = PyTuple_GET_ITEM(mro, i);
              if (base == (PyObject *)a || base == (PyObject *)b)
                  return 1;
          }
          return 0;
      }
      return __Pyx_InBases(cls, a) || __Pyx_InBases(cls, b);
  }
  static CYTHON_INLINE int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject *exc_type2) {
      if (exc_type1) {
          return __Pyx_IsAnySubtype2((PyTypeObject*)err, (PyTypeObject*)exc_type1, (PyTypeObject*)exc_type2);
      } else {
          return __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type2);
      }
  }
  static int __Pyx_PyErr_GivenExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
      Py_ssize_t i, n;
      assert(PyExceptionClass_Check(exc_type));
      n = PyTuple_GET_SIZE(tuple);
      for (i=0; i<n; i++) {
          if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
      }
      for (i=0; i<n; i++) {
          PyObject *t = PyTuple_GET_ITEM(tuple, i);
          if (likely(PyExceptionClass_Check(t))) {
              if (__Pyx_inner_PyErr_GivenExceptionMatches2(exc_type, NULL, t)) return 1;
          } else {
          }
      }
      return 0;
  }
  static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject* exc_type) {
      if (likely(err == exc_type)) return 1;
      if (likely(PyExceptionClass_Check(err))) {
          if (likely(PyExceptionClass_Check(exc_type))) {
              return __Pyx_inner_PyErr_GivenExceptionMatches2(err, NULL, exc_type);
          } else if (likely(PyTuple_Check(exc_type))) {
              return __Pyx_PyErr_GivenExceptionMatchesTuple(err, exc_type);
          } else {
          }
      }
      return PyErr_GivenExceptionMatches(err, exc_type);
  }
  static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *exc_type1, PyObject *exc_type2) {
      assert(PyExceptionClass_Check(exc_type1));
      assert(PyExceptionClass_Check(exc_type2));
      if (likely(err == exc_type1 || err == exc_type2)) return 1;
      if (likely(PyExceptionClass_Check(err))) {
          return __Pyx_inner_PyErr_GivenExceptionMatches2(err, exc_type1, exc_type2);
      }
      return (PyErr_GivenExceptionMatches(err, exc_type1) || PyErr_GivenExceptionMatches(err, exc_type2));
  }
  #endif
  
/* GetRuntimeVersion */
  #if __PYX_LIMITED_VERSION_HEX < 0x030b0000
  void __Pyx_init_runtime_version(void) {
      if (__Pyx_cached_runtime_version == 0) {
          const char* rt_version = Py_GetVersion();
          unsigned long version = 0;
          unsigned long factor = 0x01000000UL;
          unsigned int digit = 0;
          int i = 0;
          while (factor) {
              while ('0' <= rt_version[i] && rt_version[i] <= '9') {
                  digit = digit * 10 + (unsigned int) (rt_version[i] - '0');
                  ++i;
              }
              version += factor * digit;
              if (rt_version[i] != '.')
                  break;
              digit = 0;
              factor >>= 8;
              ++i;
          }
          __Pyx_cached_runtime_version = version;
      }
  }
  #endif
  static unsigned long __Pyx_get_runtime_version(void) {
  #if __PYX_LIMITED_VERSION_HEX >= 0x030b0000
      return Py_Version & ~0xFFUL;
  #else
      return __Pyx_cached_runtime_version;
  #endif
  }
  
/* CheckBinaryVersion */
  static int __Pyx_check_binary_version(unsigned long ct_version, unsigned long rt_version, int allow_newer) {
      const unsigned long MAJOR_MINOR = 0xFFFF0000UL;
      if ((rt_version & MAJOR_MINOR) == (ct_version & MAJOR_MINOR))
          return 0;
      if (likely(allow_newer && (rt_version & MAJOR_MINOR) > (ct_version & MAJOR_MINOR)))
          return 1;
      {
          char message[200];
          PyOS_snprintf(message, sizeof(message),
                        "compile time Python version %d.%d "
                        "of module '%.100s' "
                        "%s "
                        "runtime version %d.%d",
                         (int) (ct_version >> 24), (int) ((ct_version >> 16) & 0xFF),
                         __Pyx_MODULE_NAME,
                         (allow_newer) ? "was newer than" : "does not match",
                         (int) (rt_version >> 24), (int) ((rt_version >> 16) & 0xFF)
         );
          return PyErr_WarnEx(NULL, message, 1);
      }
  }
  
/* NewCodeObj */
  #if CYTHON_COMPILING_IN_LIMITED_API
      static PyObject* __Pyx__PyCode_New(int a, int p, int k, int l, int s, int f,
                                         PyObject *code, PyObject *c, PyObject* n, PyObject *v,
                                         PyObject *fv, PyObject *cell, PyObject* fn,
                                         PyObject *name, int fline, PyObject *lnos) {
          PyObject *exception_table = NULL;
          PyObject *types_module=NULL, *code_type=NULL, *result=NULL;
          #if __PYX_LIMITED_VERSION_HEX < 0x030b0000
          PyObject *version_info;
          PyObject *py_minor_version = NULL;
          #endif
          long minor_version = 0;
          PyObject *type, *value, *traceback;
          PyErr_Fetch(&type, &value, &traceback);
          #if __PYX_LIMITED_VERSION_HEX >= 0x030b0000
          minor_version = 11;
          #else
          if (!(version_info = PySys_GetObject("version_info"))) goto end;
          if (!(py_minor_version = PySequence_GetItem(version_info, 1))) goto end;
          minor_version = PyLong_AsLong(py_minor_version);
          Py_DECREF(py_minor_version);
          if (minor_version == -1 && PyErr_Occurred()) goto end;
          #endif
          if (!(types_module = PyImport_ImportModule("types"))) goto end;
          if (!(code_type = PyObject_GetAttrString(types_module, "CodeType"))) goto end;
          if (minor_version <= 7) {
              (void)p;
              result = PyObject_CallFunction(code_type, "iiiiiOOOOOOiOOO", a, k, l, s, f, code,
                            c, n, v, fn, name, fline, lnos, fv, cell);
          } else if (minor_version <= 10) {
              result = PyObject_CallFunction(code_type, "iiiiiiOOOOOOiOOO", a,p, k, l, s, f, code,
                            c, n, v, fn, name, fline, lnos, fv, cell);
          } else {
              if (!(exception_table = PyBytes_FromStringAndSize(NULL, 0))) goto end;
              result = PyObject_CallFunction(code_type, "iiiiiiOOOOOOOiOOOO", a,p, k, l, s, f, code,
                            c, n, v, fn, name, name, fline, lnos, exception_table, fv, cell);
          }
      end:
          Py_XDECREF(code_type);
          Py_XDECREF(exception_table);
          Py_XDECREF(types_module);
          if (type) {
              PyErr_Restore(type, value, traceback);
          }
          return result;
      }
  #elif PY_VERSION_HEX >= 0x030B0000
    static PyCodeObject* __Pyx__PyCode_New(int a, int p, int k, int l, int s, int f,
                                           PyObject *code, PyObject *c, PyObject* n, PyObject *v,
                                           PyObject *fv, PyObject *cell, PyObject* fn,
                                           PyObject *name, int fline, PyObject *lnos) {
      PyCodeObject *result;
      result =
        #if PY_VERSION_HEX >= 0x030C0000
          PyUnstable_Code_NewWithPosOnlyArgs
        #else
          PyCode_NewWithPosOnlyArgs
        #endif
          (a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, name, fline, lnos, __pyx_mstate_global->__pyx_empty_bytes);
      #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030c00A1
      if (likely(result))
          result->_co_firsttraceable = 0;
      #endif
      return result;
    }
  #elif !CYTHON_COMPILING_IN_PYPY
    #define __Pyx__PyCode_New(a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
            PyCode_NewWithPosOnlyArgs(a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
  #else
    #define __Pyx__PyCode_New(a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
            PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
  #endif
  static PyObject* __Pyx_PyCode_New(
          const __Pyx_PyCode_New_function_description descr,
          PyObject * const *varnames,
          PyObject *filename,
          PyObject *funcname,
          PyObject *line_table,
          PyObject *tuple_dedup_map
  ) {
      PyObject *code_obj = NULL, *varnames_tuple_dedup = NULL, *code_bytes = NULL;
      Py_ssize_t var_count = (Py_ssize_t) descr.nlocals;
      PyObject *varnames_tuple = PyTuple_New(var_count);
      if (unlikely(!varnames_tuple)) return NULL;
      for (Py_ssize_t i=0; i < var_count; i++) {
          Py_INCREF(varnames[i]);
          if (__Pyx_PyTuple_SET_ITEM(varnames_tuple, i, varnames[i]) != (0)) goto done;
      }
      #if CYTHON_COMPILING_IN_LIMITED_API
      varnames_tuple_dedup = PyDict_GetItem(tuple_dedup_map, varnames_tuple);
      if (!varnames_tuple_dedup) {
          if (unlikely(PyDict_SetItem(tuple_dedup_map, varnames_tuple, varnames_tuple) < 0)) goto done;
          varnames_tuple_dedup = varnames_tuple;
      }
      #else
      varnames_tuple_dedup = PyDict_SetDefault(tuple_dedup_map, varnames_tuple, varnames_tuple);
      if (unlikely(!varnames_tuple_dedup)) goto done;
      #endif
      #if CYTHON_AVOID_BORROWED_REFS
      Py_INCREF(varnames_tuple_dedup);
      #endif
      if (__PYX_LIMITED_VERSION_HEX >= (0x030b0000) && line_table != NULL && !CYTHON_COMPILING_IN_GRAAL) {
          Py_ssize_t line_table_length = __Pyx_PyBytes_GET_SIZE(line_table);
          #if !CYTHON_ASSUME_SAFE_SIZE
          if (unlikely(line_table_length == -1)) goto done;
          #endif
          Py_ssize_t code_len = (line_table_length * 2 + 4) & ~3LL;
          code_bytes = PyBytes_FromStringAndSize(NULL, code_len);
          if (unlikely(!code_bytes)) goto done;
          char* c_code_bytes = PyBytes_AsString(code_bytes);
          if (unlikely(!c_code_bytes)) goto done;
          memset(c_code_bytes, 0, (size_t) code_len);
      }
      code_obj = (PyObject*) __Pyx__PyCode_New(
          (int) descr.argcount,
          (int) descr.num_posonly_args,
          (int) descr.num_kwonly_args,
          (int) descr.nlocals,
          0,
          (int) descr.flags,
          code_bytes ? code_bytes : __pyx_mstate_global->__pyx_empty_bytes,
          __pyx_mstate_global->__pyx_empty_tuple,
          __pyx_mstate_global->__pyx_empty_tuple,
          varnames_tuple_dedup,
          __pyx_mstate_global->__pyx_empty_tuple,
          __pyx_mstate_global->__pyx_empty_tuple,
          filename,
          funcname,
          (int) descr.first_line,
          (__PYX_LIMITED_VERSION_HEX >= (0x030b0000) && line_table) ? line_table : __pyx_mstate_global->__pyx_empty_bytes
      );
  done:
      Py_XDECREF(code_bytes);
      #if CYTHON_AVOID_BORROWED_REFS
      Py_XDECREF(varnames_tuple_dedup);
      #endif
      Py_DECREF(varnames_tuple);
      return code_obj;
  }
  
/* DecompressString */
  static PyObject *__Pyx_DecompressString(const char *s, Py_ssize_t length, int algo) {
      PyObject *module, *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)) return NULL;
          module = PyImport_ImportModuleLevel("compression.zstd", NULL, NULL, fromlist, 0);
          Py_DECREF(fromlist);
      } else
      #endif
          module = PyImport_ImportModule(module_name);
      if (unlikely(!module)) goto import_failed;
      decompress = PyObject_GetAttr(module, methodname);
      if (unlikely(!decompress)) goto import_failed;
      {
          #ifdef __cplusplus
              char *memview_bytes = const_cast<char*>(s);
          #else
              #if defined(__clang__)
                #pragma clang diagnostic push
                #pragma clang diagnostic ignored "-Wcast-qual"
              #elif !defined(__INTEL_COMPILER) && defined(__GNUC__)
                #pragma GCC diagnostic push
                #pragma GCC diagnostic ignored "-Wcast-qual"
              #endif
              char *memview_bytes = (char*) s;
              #if defined(__clang__)
                #pragma clang diagnostic pop
              #elif !defined(__INTEL_COMPILER) && defined(__GNUC__)
                #pragma GCC diagnostic pop
              #endif
          #endif
          #if CYTHON_COMPILING_IN_LIMITED_API && !defined(PyBUF_READ)
          int memview_flags = 0x100;
          #else
          int memview_flags = PyBUF_READ;
          #endif
          compressed_bytes = PyMemoryView_FromMemory(memview_bytes, length, memview_flags);
      }
      if (unlikely(!compressed_bytes)) {
          Py_DECREF(decompress);
          goto bad;
      }
      decompressed = PyObject_CallFunctionObjArgs(decompress, compressed_bytes, NULL);
      Py_DECREF(compressed_bytes);
      Py_DECREF(decompress);
      Py_DECREF(module);
      Py_DECREF(methodname);
      return decompressed;
  import_failed:
      PyErr_Format(PyExc_ImportError,
          "Failed to import '%.20s.decompress' - cannot initialise module strings. "
          "String compression was configured with the C macro 'CYTHON_COMPRESS_STRINGS=%d'.",
          module_name, algo);
  bad:
      Py_XDECREF(module);
      Py_DECREF(methodname);
      return NULL;
  }
  
#include <string.h>
static CYTHON_INLINE Py_ssize_t __Pyx_ssize_strlen(const char *s) {
    size_t len = strlen(s);
    if (unlikely(len > (size_t) PY_SSIZE_T_MAX)) {
        PyErr_SetString(PyExc_OverflowError, "byte string is too long");
        return -1;
    }
    return (Py_ssize_t) len;
}
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char* c_str) {
    Py_ssize_t len = __Pyx_ssize_strlen(c_str);
    if (unlikely(len < 0)) return NULL;
    return __Pyx_PyUnicode_FromStringAndSize(c_str, len);
}
static CYTHON_INLINE PyObject* __Pyx_PyByteArray_FromString(const char* c_str) {
    Py_ssize_t len = __Pyx_ssize_strlen(c_str);
    if (unlikely(len < 0)) return NULL;
    return PyByteArray_FromStringAndSize(c_str, len);
}
static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject* o) {
    Py_ssize_t ignore;
    return __Pyx_PyObject_AsStringAndSize(o, &ignore);
}
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_UTF8
static CYTHON_INLINE const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
    if (unlikely(__Pyx_PyUnicode_READY(o) == -1)) return NULL;
#if CYTHON_COMPILING_IN_LIMITED_API
    {
        const char* result;
        Py_ssize_t unicode_length;
        CYTHON_MAYBE_UNUSED_VAR(unicode_length); // only for __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
        #if __PYX_LIMITED_VERSION_HEX < 0x030A0000
        if (unlikely(PyArg_Parse(o, "s#", &result, length) < 0)) return NULL;
        #else
        result = PyUnicode_AsUTF8AndSize(o, length);
        #endif
        #if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
        unicode_length = PyUnicode_GetLength(o);
        if (unlikely(unicode_length < 0)) return NULL;
        if (unlikely(unicode_length != *length)) {
            PyUnicode_AsASCIIString(o);
            return NULL;
        }
        #endif
        return result;
    }
#else
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
    if (likely(PyUnicode_IS_ASCII(o))) {
        *length = PyUnicode_GET_LENGTH(o);
        return PyUnicode_AsUTF8(o);
    } else {
        PyUnicode_AsASCIIString(o);
        return NULL;
    }
#else
    return PyUnicode_AsUTF8AndSize(o, length);
#endif
#endif
}
#endif
static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_UTF8
    if (PyUnicode_Check(o)) {
        return __Pyx_PyUnicode_AsStringAndSize(o, length);
    } else
#endif
    if (PyByteArray_Check(o)) {
#if (CYTHON_ASSUME_SAFE_SIZE && CYTHON_ASSUME_SAFE_MACROS) || (CYTHON_COMPILING_IN_PYPY && (defined(PyByteArray_AS_STRING) && defined(PyByteArray_GET_SIZE)))
        *length = PyByteArray_GET_SIZE(o);
        return PyByteArray_AS_STRING(o);
#else
        *length = PyByteArray_Size(o);
        if (*length == -1) return NULL;
        return PyByteArray_AsString(o);
#endif
    } else
    {
        char* result;
        int r = PyBytes_AsStringAndSize(o, &result, length);
        if (unlikely(r < 0)) {
            return NULL;
        } else {
            return result;
        }
    }
}
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject* x) {
   int is_true = x == Py_True;
   if (is_true | (x == Py_False) | (x == Py_None)) return is_true;
   else return PyObject_IsTrue(x);
}
static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject* x) {
    int retval;
    if (unlikely(!x)) return -1;
    retval = __Pyx_PyObject_IsTrue(x);
    Py_DECREF(x);
    return retval;
}
static PyObject* __Pyx_PyNumber_LongWrongResultType(PyObject* result) {
    __Pyx_TypeName result_type_name = __Pyx_PyType_GetFullyQualifiedName(Py_TYPE(result));
    if (PyLong_Check(result)) {
        if (PyErr_WarnFormat(PyExc_DeprecationWarning, 1,
                "__int__ returned non-int (type " __Pyx_FMT_TYPENAME ").  "
                "The ability to return an instance of a strict subclass of int is deprecated, "
                "and may be removed in a future version of Python.",
                result_type_name)) {
            __Pyx_DECREF_TypeName(result_type_name);
            Py_DECREF(result);
            return NULL;
        }
        __Pyx_DECREF_TypeName(result_type_name);
        return result;
    }
    PyErr_Format(PyExc_TypeError,
                 "__int__ returned non-int (type " __Pyx_FMT_TYPENAME ")",
                 result_type_name);
    __Pyx_DECREF_TypeName(result_type_name);
    Py_DECREF(result);
    return NULL;
}
static CYTHON_INLINE PyObject* __Pyx_PyNumber_Long(PyObject* x) {
#if CYTHON_USE_TYPE_SLOTS
  PyNumberMethods *m;
#endif
  PyObject *res = NULL;
  if (likely(PyLong_Check(x)))
      return __Pyx_NewRef(x);
#if CYTHON_USE_TYPE_SLOTS
  m = Py_TYPE(x)->tp_as_number;
  if (likely(m && m->nb_int)) {
      res = m->nb_int(x);
  }
#else
  if (!PyBytes_CheckExact(x) && !PyUnicode_CheckExact(x)) {
      res = PyNumber_Long(x);
  }
#endif
  if (likely(res)) {
      if (unlikely(!PyLong_CheckExact(res))) {
          return __Pyx_PyNumber_LongWrongResultType(res);
      }
  }
  else if (!PyErr_Occurred()) {
      PyErr_SetString(PyExc_TypeError,
                      "an integer is required");
  }
  return res;
}
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) {
  Py_ssize_t ival;
  PyObject *x;
  if (likely(PyLong_CheckExact(b))) {
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(__Pyx_PyLong_IsCompact(b))) {
        return __Pyx_PyLong_CompactValue(b);
    } else {
      const digit* digits = __Pyx_PyLong_Digits(b);
      const Py_ssize_t size = __Pyx_PyLong_SignedDigitCount(b);
      switch (size) {
         case 2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case 3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case 4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
      }
    }
    #endif
    return PyLong_AsSsize_t(b);
  }
  x = PyNumber_Index(b);
  if (!x) return -1;
  ival = PyLong_AsSsize_t(x);
  Py_DECREF(x);
  return ival;
}
static CYTHON_INLINE Py_hash_t __Pyx_PyIndex_AsHash_t(PyObject* o) {
  if (sizeof(Py_hash_t) == sizeof(Py_ssize_t)) {
    return (Py_hash_t) __Pyx_PyIndex_AsSsize_t(o);
  } else {
    Py_ssize_t ival;
    PyObject *x;
    x = PyNumber_Index(o);
    if (!x) return -1;
    ival = PyLong_AsLong(x);
    Py_DECREF(x);
    return ival;
  }
}
static CYTHON_INLINE PyObject *__Pyx_Owned_Py_None(int b) {
    CYTHON_UNUSED_VAR(b);
    return __Pyx_NewRef(Py_None);
}
static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b) {
  return __Pyx_NewRef(b ? Py_True: Py_False);
}
static CYTHON_INLINE PyObject * __Pyx_PyLong_FromSize_t(size_t ival) {
    return PyLong_FromSize_t(ival);
}


  /* MultiPhaseInitModuleState */
  #if CYTHON_PEP489_MULTI_PHASE_INIT && CYTHON_USE_MODULE_STATE
  #ifndef CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
  #if (CYTHON_COMPILING_IN_LIMITED_API || PY_VERSION_HEX >= 0x030C0000)
    #define CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE 1
  #else
    #define CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE 0
  #endif
  #endif
  #if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE && !CYTHON_ATOMICS
  #error "Module state with PEP489 requires atomics. Currently that's one of\
   C11, C++11, gcc atomic intrinsics or MSVC atomic intrinsics"
  #endif
  #if !CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
  #define __Pyx_ModuleStateLookup_Lock()
  #define __Pyx_ModuleStateLookup_Unlock()
  #elif !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x030d0000
  static PyMutex __Pyx_ModuleStateLookup_mutex = {0};
  #define __Pyx_ModuleStateLookup_Lock() PyMutex_Lock(&__Pyx_ModuleStateLookup_mutex)
  #define __Pyx_ModuleStateLookup_Unlock() PyMutex_Unlock(&__Pyx_ModuleStateLookup_mutex)
  #elif defined(__cplusplus) && __cplusplus >= 201103L
  #include <mutex>
  static std::mutex __Pyx_ModuleStateLookup_mutex;
  #define __Pyx_ModuleStateLookup_Lock() __Pyx_ModuleStateLookup_mutex.lock()
  #define __Pyx_ModuleStateLookup_Unlock() __Pyx_ModuleStateLookup_mutex.unlock()
  #elif defined(__STDC_VERSION__) && (__STDC_VERSION__ > 201112L) && !defined(__STDC_NO_THREADS__)
  #include <threads.h>
  static mtx_t __Pyx_ModuleStateLookup_mutex;
  static once_flag __Pyx_ModuleStateLookup_mutex_once_flag = ONCE_FLAG_INIT;
  static void __Pyx_ModuleStateLookup_initialize_mutex(void) {
      mtx_init(&__Pyx_ModuleStateLookup_mutex, mtx_plain);
  }
  #define __Pyx_ModuleStateLookup_Lock()\
    call_once(&__Pyx_ModuleStateLookup_mutex_once_flag, __Pyx_ModuleStateLookup_initialize_mutex);\
    mtx_lock(&__Pyx_ModuleStateLookup_mutex)
  #define __Pyx_ModuleStateLookup_Unlock() mtx_unlock(&__Pyx_ModuleStateLookup_mutex)
  #elif defined(HAVE_PTHREAD_H)
  #include <pthread.h>
  static pthread_mutex_t __Pyx_ModuleStateLookup_mutex = PTHREAD_MUTEX_INITIALIZER;
  #define __Pyx_ModuleStateLookup_Lock() pthread_mutex_lock(&__Pyx_ModuleStateLookup_mutex)
  #define __Pyx_ModuleStateLookup_Unlock() pthread_mutex_unlock(&__Pyx_ModuleStateLookup_mutex)
  #elif defined(_WIN32)
  #include <Windows.h>  // synchapi.h on its own doesn't work
  static SRWLOCK __Pyx_ModuleStateLookup_mutex = SRWLOCK_INIT;
  #define __Pyx_ModuleStateLookup_Lock() AcquireSRWLockExclusive(&__Pyx_ModuleStateLookup_mutex)
  #define __Pyx_ModuleStateLookup_Unlock() ReleaseSRWLockExclusive(&__Pyx_ModuleStateLookup_mutex)
  #else
  #error "No suitable lock available for CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE.\
   Requires C standard >= C11, or C++ standard >= C++11,\
   or pthreads, or the Windows 32 API, or Python >= 3.13."
  #endif
  typedef struct {
      int64_t id;
      PyObject *module;
  } __Pyx_InterpreterIdAndModule;
  typedef struct {
      char interpreter_id_as_index;
      Py_ssize_t count;
      Py_ssize_t allocated;
      __Pyx_InterpreterIdAndModule table[1];
  } __Pyx_ModuleStateLookupData;
  #define __PYX_MODULE_STATE_LOOKUP_SMALL_SIZE 32
  #if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
  static __pyx_atomic_int_type __Pyx_ModuleStateLookup_read_counter = 0;
  #endif
  #if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
  static __pyx_atomic_ptr_type __Pyx_ModuleStateLookup_data = 0;
  #else
  static __Pyx_ModuleStateLookupData* __Pyx_ModuleStateLookup_data = NULL;
  #endif
  static __Pyx_InterpreterIdAndModule* __Pyx_State_FindModuleStateLookupTableLowerBound(
          __Pyx_InterpreterIdAndModule* table,
          Py_ssize_t count,
          int64_t interpreterId) {
      __Pyx_InterpreterIdAndModule* begin = table;
      __Pyx_InterpreterIdAndModule* end = begin + count;
      if (begin->id == interpreterId) {
          return begin;
      }
      while ((end - begin) > __PYX_MODULE_STATE_LOOKUP_SMALL_SIZE) {
          __Pyx_InterpreterIdAndModule* halfway = begin + (end - begin)/2;
          if (halfway->id == interpreterId) {
              return halfway;
          }
          if (halfway->id < interpreterId) {
              begin = halfway;
          } else {
              end = halfway;
          }
      }
      for (; begin < end; ++begin) {
          if (begin->id >= interpreterId) return begin;
      }
      return begin;
  }
  static PyObject *__Pyx_State_FindModule(CYTHON_UNUSED void* dummy) {
      int64_t interpreter_id = PyInterpreterState_GetID(__Pyx_PyInterpreterState_Get());
      if (interpreter_id == -1) return NULL;
  #if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
      __Pyx_ModuleStateLookupData* data = (__Pyx_ModuleStateLookupData*)__pyx_atomic_pointer_load_relaxed(&__Pyx_ModuleStateLookup_data);
      {
          __pyx_atomic_incr_acq_rel(&__Pyx_ModuleStateLookup_read_counter);
          if (likely(data)) {
              __Pyx_ModuleStateLookupData* new_data = (__Pyx_ModuleStateLookupData*)__pyx_atomic_pointer_load_acquire(&__Pyx_ModuleStateLookup_data);
              if (likely(data == new_data)) {
                  goto read_finished;
              }
          }
          __pyx_atomic_decr_acq_rel(&__Pyx_ModuleStateLookup_read_counter);
          __Pyx_ModuleStateLookup_Lock();
          __pyx_atomic_incr_relaxed(&__Pyx_ModuleStateLookup_read_counter);
          data = (__Pyx_ModuleStateLookupData*)__pyx_atomic_pointer_load_relaxed(&__Pyx_ModuleStateLookup_data);
          __Pyx_ModuleStateLookup_Unlock();
      }
    read_finished:;
  #else
      __Pyx_ModuleStateLookupData* data = __Pyx_ModuleStateLookup_data;
  #endif
      __Pyx_InterpreterIdAndModule* found = NULL;
      if (unlikely(!data)) goto end;
      if (data->interpreter_id_as_index) {
          if (interpreter_id < data->count) {
              found = data->table+interpreter_id;
          }
      } else {
          found = __Pyx_State_FindModuleStateLookupTableLowerBound(
              data->table, data->count, interpreter_id);
      }
    end:
      {
          PyObject *result=NULL;
          if (found && found->id == interpreter_id) {
              result = found->module;
          }
  #if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
          __pyx_atomic_decr_acq_rel(&__Pyx_ModuleStateLookup_read_counter);
  #endif
          return result;
      }
  }
  #if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
  static void __Pyx_ModuleStateLookup_wait_until_no_readers(void) {
      while (__pyx_atomic_load(&__Pyx_ModuleStateLookup_read_counter) != 0);
  }
  #else
  #define __Pyx_ModuleStateLookup_wait_until_no_readers()
  #endif
  static int __Pyx_State_AddModuleInterpIdAsIndex(__Pyx_ModuleStateLookupData **old_data, PyObject* module, int64_t interpreter_id) {
      Py_ssize_t to_allocate = (*old_data)->allocated;
      while (to_allocate <= interpreter_id) {
          if (to_allocate == 0) to_allocate = 1;
          else to_allocate *= 2;
      }
      __Pyx_ModuleStateLookupData *new_data = *old_data;
      if (to_allocate != (*old_data)->allocated) {
           new_data = (__Pyx_ModuleStateLookupData *)realloc(
              *old_data,
              sizeof(__Pyx_ModuleStateLookupData)+(to_allocate-1)*sizeof(__Pyx_InterpreterIdAndModule));
          if (!new_data) {
              PyErr_NoMemory();
              return -1;
          }
          for (Py_ssize_t i = new_data->allocated; i < to_allocate; ++i) {
              new_data->table[i].id = i;
              new_data->table[i].module = NULL;
          }
          new_data->allocated = to_allocate;
      }
      new_data->table[interpreter_id].module = module;
      if (new_data->count < interpreter_id+1) {
          new_data->count = interpreter_id+1;
      }
      *old_data = new_data;
      return 0;
  }
  static void __Pyx_State_ConvertFromInterpIdAsIndex(__Pyx_ModuleStateLookupData *data) {
      __Pyx_InterpreterIdAndModule *read = data->table;
      __Pyx_InterpreterIdAndModule *write = data->table;
      __Pyx_InterpreterIdAndModule *end = read + data->count;
      for (; read<end; ++read) {
          if (read->module) {
              write->id = read->id;
              write->module = read->module;
              ++write;
          }
      }
      data->count = write - data->table;
      for (; write<end; ++write) {
          write->id = 0;
          write->module = NULL;
      }
      data->interpreter_id_as_index = 0;
  }
  static int __Pyx_State_AddModule(PyObject* module, CYTHON_UNUSED void* dummy) {
      int64_t interpreter_id = PyInterpreterState_GetID(__Pyx_PyInterpreterState_Get());
      if (interpreter_id == -1) return -1;
      int result = 0;
      __Pyx_ModuleStateLookup_Lock();
  #if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
      __Pyx_ModuleStateLookupData *old_data = (__Pyx_ModuleStateLookupData *)
              __pyx_atomic_pointer_exchange(&__Pyx_ModuleStateLookup_data, 0);
  #else
      __Pyx_ModuleStateLookupData *old_data = __Pyx_ModuleStateLookup_data;
  #endif
      __Pyx_ModuleStateLookupData *new_data = old_data;
      if (!new_data) {
          new_data = (__Pyx_ModuleStateLookupData *)calloc(1, sizeof(__Pyx_ModuleStateLookupData));
          if (!new_data) {
              result = -1;
              PyErr_NoMemory();
              goto end;
          }
          new_data->allocated = 1;
          new_data->interpreter_id_as_index = 1;
      }
      __Pyx_ModuleStateLookup_wait_until_no_readers();
      if (new_data->interpreter_id_as_index) {
          if (interpreter_id < __PYX_MODULE_STATE_LOOKUP_SMALL_SIZE) {
              result = __Pyx_State_AddModuleInterpIdAsIndex(&new_data, module, interpreter_id);
              goto end;
          }
          __Pyx_State_ConvertFromInterpIdAsIndex(new_data);
      }
      {
          Py_ssize_t insert_at = 0;
          {
              __Pyx_InterpreterIdAndModule* lower_bound = __Pyx_State_FindModuleStateLookupTableLowerBound(
                  new_data->table, new_data->count, interpreter_id);
              assert(lower_bound);
              insert_at = lower_bound - new_data->table;
              if (unlikely(insert_at < new_data->count && lower_bound->id == interpreter_id)) {
                  lower_bound->module = module;
                  goto end;  // already in table, nothing more to do
              }
          }
          if (new_data->count+1 >= new_data->allocated) {
              Py_ssize_t to_allocate = (new_data->count+1)*2;
              new_data =
                  (__Pyx_ModuleStateLookupData*)realloc(
                      new_data,
                      sizeof(__Pyx_ModuleStateLookupData) +
                      (to_allocate-1)*sizeof(__Pyx_InterpreterIdAndModule));
              if (!new_data) {
                  result = -1;
                  new_data = old_data;
                  PyErr_NoMemory();
                  goto end;
              }
              new_data->allocated = to_allocate;
          }
          ++new_data->count;
          int64_t last_id = interpreter_id;
          PyObject *last_module = module;
          for (Py_ssize_t i=insert_at; i<new_data->count; ++i) {
              int64_t current_id = new_data->table[i].id;
              new_data->table[i].id = last_id;
              last_id = current_id;
              PyObject *current_module = new_data->table[i].module;
              new_data->table[i].module = last_module;
              last_module = current_module;
          }
      }
    end:
  #if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
      __pyx_atomic_pointer_exchange(&__Pyx_ModuleStateLookup_data, new_data);
  #else
      __Pyx_ModuleStateLookup_data = new_data;
  #endif
      __Pyx_ModuleStateLookup_Unlock();
      return result;
  }
  static int __Pyx_State_RemoveModule(CYTHON_UNUSED void* dummy) {
      int64_t interpreter_id = PyInterpreterState_GetID(__Pyx_PyInterpreterState_Get());
      if (interpreter_id == -1) return -1;
      __Pyx_ModuleStateLookup_Lock();
  #if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
      __Pyx_ModuleStateLookupData *data = (__Pyx_ModuleStateLookupData *)
              __pyx_atomic_pointer_exchange(&__Pyx_ModuleStateLookup_data, 0);
  #else
      __Pyx_ModuleStateLookupData *data = __Pyx_ModuleStateLookup_data;
  #endif
      if (data->interpreter_id_as_index) {
          if (interpreter_id < data->count) {
              data->table[interpreter_id].module = NULL;
          }
          goto done;
      }
      {
          __Pyx_ModuleStateLookup_wait_until_no_readers();
          __Pyx_InterpreterIdAndModule* lower_bound = __Pyx_State_FindModuleStateLookupTableLowerBound(
              data->table, data->count, interpreter_id);
          if (!lower_bound) goto done;
          if (lower_bound->id != interpreter_id) goto done;
          __Pyx_InterpreterIdAndModule *end = data->table+data->count;
          for (;lower_bound<end-1; ++lower_bound) {
              lower_bound->id = (lower_bound+1)->id;
              lower_bound->module = (lower_bound+1)->module;
          }
      }
      --data->count;
      if (data->count == 0) {
          free(data);
          data = NULL;
      }
    done:
  #if CYTHON_MODULE_STATE_LOOKUP_THREAD_SAFE
      __pyx_atomic_pointer_exchange(&__Pyx_ModuleStateLookup_data, data);
  #else
      __Pyx_ModuleStateLookup_data = data;
  #endif
      __Pyx_ModuleStateLookup_Unlock();
      return 0;
  }
  #endif
  
/* #### Code section: utility_code_pragmas_end ### */
#ifdef _MSC_VER
#pragma warning( pop )
#endif



/* #### Code section: end ### */
#endif /* Py_PYTHON_H */
