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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))

/* CInitCode */
#ifndef CYTHON_INLINE
  #if defined(__clang__)
    #define CYTHON_INLINE __inline__ __attribute__ ((__unused__))
  #elif defined(__GNUC__)
    #define CYTHON_INLINE __inline__
  #elif defined(_MSC_VER)
    #define CYTHON_INLINE __inline
  #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define CYTHON_INLINE inline
  #else
    #define CYTHON_INLINE
  #endif
#endif

/* 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
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#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
static CYTHON_INLINE int __Pyx_PyDict_GetItemRef(PyObject *dict, PyObject *key, PyObject **result) {
  *result = PyObject_GetItem(dict, key);
  if (*result == NULL) {
    if (PyErr_ExceptionMatches(PyExc_KeyError)) {
      PyErr_Clear();
      return 0;
    }
    return -1;
  }
  return 1;
}
#else
static CYTHON_INLINE int __Pyx_PyDict_GetItemRef(PyObject *dict, PyObject *key, PyObject **result) {
  *result = PyDict_GetItemWithError(dict, key);
  if (*result == NULL) {
    return PyErr_Occurred() ? -1 : 0;
  }
  Py_INCREF(*result);
  return 1;
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    #undef __pyx_atomic_int_type
    #define __pyx_atomic_int_type atomic_int
    #define __pyx_atomic_ptr_type atomic_uintptr_t
    #define __pyx_nonatomic_ptr_type uintptr_t
    #define __pyx_atomic_incr_relaxed(value) atomic_fetch_add_explicit(value, 1, memory_order_relaxed)
    #define __pyx_atomic_incr_acq_rel(value) atomic_fetch_add_explicit(value, 1, memory_order_acq_rel)
    #define __pyx_atomic_decr_acq_rel(value) atomic_fetch_sub_explicit(value, 1, memory_order_acq_rel)
    #define __pyx_atomic_sub(value, arg) atomic_fetch_sub(value, arg)
    #define __pyx_atomic_int_cmp_exchange(value, expected, desired) atomic_compare_exchange_strong(value, expected, desired)
    #define __pyx_atomic_load(value) atomic_load(value)
    #define __pyx_atomic_store(value, new_value) atomic_store(value, new_value)
    #define __pyx_atomic_pointer_load_relaxed(value) atomic_load_explicit(value, memory_order_relaxed)
    #define __pyx_atomic_pointer_load_acquire(value) atomic_load_explicit(value, memory_order_acquire)
    #define __pyx_atomic_pointer_exchange(value, new_value) atomic_exchange(value, (__pyx_nonatomic_ptr_type)new_value)
    #define __pyx_atomic_pointer_cmp_exchange(value, expected, desired) atomic_compare_exchange_strong(value, expected, desired)
    #if defined(__PYX_DEBUG_ATOMICS) && defined(_MSC_VER)
        #pragma message ("Using standard C atomics")
    #elif defined(__PYX_DEBUG_ATOMICS)
        #warning "Using standard C atomics"
    #endif
#elif CYTHON_ATOMICS && (defined(__cplusplus) && (\
                    (__cplusplus >= 201103L) ||\
\
                    (defined(_MSC_VER) && _MSC_VER >= 1700)) &&\
                    ATOMIC_INT_LOCK_FREE == 2)
    #undef __pyx_atomic_int_type
    #define __pyx_atomic_int_type std::atomic_int
    #define __pyx_atomic_ptr_type std::atomic_uintptr_t
    #define __pyx_nonatomic_ptr_type uintptr_t
    #define __pyx_atomic_incr_relaxed(value) std::atomic_fetch_add_explicit(value, 1, std::memory_order_relaxed)
    #define __pyx_atomic_incr_acq_rel(value) std::atomic_fetch_add_explicit(value, 1, std::memory_order_acq_rel)
    #define __pyx_atomic_decr_acq_rel(value) std::atomic_fetch_sub_explicit(value, 1, std::memory_order_acq_rel)
    #define __pyx_atomic_sub(value, arg) std::atomic_fetch_sub(value, arg)
    #define __pyx_atomic_int_cmp_exchange(value, expected, desired) std::atomic_compare_exchange_strong(value, expected, desired)
    #define __pyx_atomic_load(value) std::atomic_load(value)
    #define __pyx_atomic_store(value, new_value) std::atomic_store(value, new_value)
    #define __pyx_atomic_pointer_load_relaxed(value) std::atomic_load_explicit(value, std::memory_order_relaxed)
    #define __pyx_atomic_pointer_load_acquire(value) std::atomic_load_explicit(value, std::memory_order_acquire)
    #define __pyx_atomic_pointer_exchange(value, new_value) std::atomic_exchange(value, (__pyx_nonatomic_ptr_type)new_value)
    #define __pyx_atomic_pointer_cmp_exchange(value, expected, desired) std::atomic_compare_exchange_strong(value, expected, desired)
    #if defined(__PYX_DEBUG_ATOMICS) && defined(_MSC_VER)
        #pragma message ("Using standard C++ atomics")
    #elif defined(__PYX_DEBUG_ATOMICS)
        #warning "Using standard C++ atomics"
    #endif
#elif CYTHON_ATOMICS && (__GNUC__ >= 5 || (__GNUC__ == 4 &&\
                    (__GNUC_MINOR__ > 1 ||\
                    (__GNUC_MINOR__ == 1 && __GNUC_PATCHLEVEL__ >= 2))))
    #define __pyx_atomic_ptr_type void*
    #define __pyx_nonatomic_ptr_type void*
    #define __pyx_atomic_incr_relaxed(value) __sync_fetch_and_add(value, 1)
    #define __pyx_atomic_incr_acq_rel(value) __sync_fetch_and_add(value, 1)
    #define __pyx_atomic_decr_acq_rel(value) __sync_fetch_and_sub(value, 1)
    #define __pyx_atomic_sub(value, arg) __sync_fetch_and_sub(value, arg)
    static CYTHON_INLINE int __pyx_atomic_int_cmp_exchange(__pyx_atomic_int_type* value, __pyx_nonatomic_int_type* expected, __pyx_nonatomic_int_type desired) {
        __pyx_nonatomic_int_type old = __sync_val_compare_and_swap(value, *expected, desired);
        int result = old == *expected;
        *expected = old;
        return result;
    }
    #define __pyx_atomic_load(value) __sync_fetch_and_add(value, 0)
    #define __pyx_atomic_store(value, new_value) __sync_lock_test_and_set(value, new_value)
    #define __pyx_atomic_pointer_load_relaxed(value) __sync_fetch_and_add(value, 0)
    #define __pyx_atomic_pointer_load_acquire(value) __sync_fetch_and_add(value, 0)
    #define __pyx_atomic_pointer_exchange(value, new_value) __sync_lock_test_and_set(value, (__pyx_atomic_ptr_type)new_value)
    static CYTHON_INLINE int __pyx_atomic_pointer_cmp_exchange(__pyx_atomic_ptr_type* value, __pyx_nonatomic_ptr_type* expected, __pyx_nonatomic_ptr_type desired) {
        __pyx_nonatomic_ptr_type old = __sync_val_compare_and_swap(value, *expected, desired);
        int result = old == *expected;
        *expected = old;
        return result;
    }
    #ifdef __PYX_DEBUG_ATOMICS
        #warning "Using GNU atomics"
    #endif
#elif CYTHON_ATOMICS && defined(_MSC_VER)
    #include <intrin.h>
    #undef __pyx_atomic_int_type
    #define __pyx_atomic_int_type long
    #define __pyx_atomic_ptr_type void*
    #undef __pyx_nonatomic_int_type
    #define __pyx_nonatomic_int_type long
    #define __pyx_nonatomic_ptr_type void*
    #pragma intrinsic (_InterlockedExchangeAdd, _InterlockedExchange, _InterlockedCompareExchange, _InterlockedCompareExchangePointer, _InterlockedExchangePointer)
    #define __pyx_atomic_incr_relaxed(value) _InterlockedExchangeAdd(value, 1)
    #define __pyx_atomic_incr_acq_rel(value) _InterlockedExchangeAdd(value, 1)
    #define __pyx_atomic_decr_acq_rel(value) _InterlockedExchangeAdd(value, -1)
    #define __pyx_atomic_sub(value, arg) _InterlockedExchangeAdd(value, -arg)
    static CYTHON_INLINE int __pyx_atomic_int_cmp_exchange(__pyx_atomic_int_type* value, __pyx_nonatomic_int_type* expected, __pyx_nonatomic_int_type desired) {
        __pyx_nonatomic_int_type old = _InterlockedCompareExchange(value, desired, *expected);
        int result = old == *expected;
        *expected = old;
        return result;
    }
    #define __pyx_atomic_load(value) _InterlockedExchangeAdd(value, 0)
    #define __pyx_atomic_store(value, new_value) _InterlockedExchange(value, new_value)
    #define __pyx_atomic_pointer_load_relaxed(value) *(void * volatile *)value
    #define __pyx_atomic_pointer_load_acquire(value) _InterlockedCompareExchangePointer(value, 0, 0)
    #define __pyx_atomic_pointer_exchange(value, new_value) _InterlockedExchangePointer(value, (__pyx_atomic_ptr_type)new_value)
    static CYTHON_INLINE int __pyx_atomic_pointer_cmp_exchange(__pyx_atomic_ptr_type* value, __pyx_nonatomic_ptr_type* expected, __pyx_nonatomic_ptr_type desired) {
        __pyx_atomic_ptr_type old = _InterlockedCompareExchangePointer(value, desired, *expected);
        int result = old == *expected;
        *expected = old;
        return result;
    }
    #ifdef __PYX_DEBUG_ATOMICS
        #pragma message ("Using MSVC atomics")
    #endif
#else
    #undef CYTHON_ATOMICS
    #define CYTHON_ATOMICS 0
    #ifdef __PYX_DEBUG_ATOMICS
        #warning "Not using atomics"
    #endif
#endif

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

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

/* ForceInitThreads.proto */
#ifndef __PYX_FORCE_INIT_THREADS
  #define __PYX_FORCE_INIT_THREADS 0
#endif

/* NoFastGil.proto */
#define __Pyx_PyGILState_Ensure PyGILState_Ensure
#define __Pyx_PyGILState_Release PyGILState_Release
#define __Pyx_FastGIL_Remember()
#define __Pyx_FastGIL_Forget()
#define __Pyx_FastGilFuncInit()

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

/* BufferFormatStructs.proto */
struct __Pyx_StructField_;
#define __PYX_BUF_FLAGS_PACKED_STRUCT (1 << 0)
typedef struct {
  const char* name;
  const struct __Pyx_StructField_* fields;
  size_t size;
  size_t arraysize[8];
  int ndim;
  char typegroup;
  char is_unsigned;
  int flags;
} __Pyx_TypeInfo;
typedef struct __Pyx_StructField_ {
  const __Pyx_TypeInfo* type;
  const char* name;
  size_t offset;
} __Pyx_StructField;
typedef struct {
  const __Pyx_StructField* field;
  size_t parent_offset;
} __Pyx_BufFmt_StackElem;
typedef struct {
  __Pyx_StructField root;
  __Pyx_BufFmt_StackElem* head;
  size_t fmt_offset;
  size_t new_count, enc_count;
  size_t struct_alignment;
  int is_complex;
  char enc_type;
  char new_packmode;
  char enc_packmode;
  char is_valid_array;
} __Pyx_BufFmt_Context;

/* MemviewSliceStruct.proto */
struct __pyx_memoryview_obj;
typedef struct {
  struct __pyx_memoryview_obj *memview;
  char *data;
  Py_ssize_t shape[8];
  Py_ssize_t strides[8];
  Py_ssize_t suboffsets[8];
} __Pyx_memviewslice;
#define __Pyx_MemoryView_Len(m)  (m.shape[0])
#define __Pyx_MEMVIEW_DIRECT   1
#define __Pyx_MEMVIEW_PTR      2
#define __Pyx_MEMVIEW_FULL     4
#define __Pyx_MEMVIEW_CONTIG   8
#define __Pyx_MEMVIEW_STRIDED  16
#define __Pyx_MEMVIEW_FOLLOW   32
#define __Pyx_IS_C_CONTIG 1
#define __Pyx_IS_F_CONTIG 2
#define __Pyx_MEMSLICE_INIT  { 0, 0, { 0 }, { 0 }, { 0 } }
#if CYTHON_ATOMICS
    #define __pyx_add_acquisition_count(memview)\
             __pyx_atomic_incr_relaxed(__pyx_get_slice_count_pointer(memview))
    #define __pyx_sub_acquisition_count(memview)\
            __pyx_atomic_decr_acq_rel(__pyx_get_slice_count_pointer(memview))
#else
    #define __pyx_add_acquisition_count(memview)\
            __pyx_add_acquisition_count_locked(__pyx_get_slice_count_pointer(memview), memview->lock)
    #define __pyx_sub_acquisition_count(memview)\
            __pyx_sub_acquisition_count_locked(__pyx_get_slice_count_pointer(memview), memview->lock)
#endif

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

/* "../../../tmp/build-env-ehhb37m2/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":743
 * # 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-ehhb37m2/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":744
 * 
 * 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-ehhb37m2/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":745
 * ctypedef npy_int8       int8_t
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int64      int64_t
 * 
*/
typedef npy_int32 __pyx_t_5numpy_int32_t;

/* "../../../tmp/build-env-ehhb37m2/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":746
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t
 * ctypedef npy_int64      int64_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_uint8      uint8_t
*/
typedef npy_int64 __pyx_t_5numpy_int64_t;

/* "../../../tmp/build-env-ehhb37m2/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":748
 * ctypedef npy_int64      int64_t
 * 
 * ctypedef npy_uint8      uint8_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t
*/
typedef npy_uint8 __pyx_t_5numpy_uint8_t;

/* "../../../tmp/build-env-ehhb37m2/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":749
 * 
 * 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-ehhb37m2/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":750
 * ctypedef npy_uint8      uint8_t
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint64     uint64_t
 * 
*/
typedef npy_uint32 __pyx_t_5numpy_uint32_t;

/* "../../../tmp/build-env-ehhb37m2/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":751
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t
 * ctypedef npy_uint64     uint64_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_float32    float32_t
*/
typedef npy_uint64 __pyx_t_5numpy_uint64_t;

/* "../../../tmp/build-env-ehhb37m2/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":753
 * ctypedef npy_uint64     uint64_t
 * 
 * ctypedef npy_float32    float32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_float64    float64_t
 * #ctypedef npy_float80    float80_t
*/
typedef npy_float32 __pyx_t_5numpy_float32_t;

/* "../../../tmp/build-env-ehhb37m2/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":754
 * 
 * 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-ehhb37m2/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":761
 * 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-ehhb37m2/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":762
 * 
 * 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-ehhb37m2/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":764
 * 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-ehhb37m2/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":765
 * 
 * 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-ehhb37m2/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":767
 * 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-ehhb37m2/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":768
 * 
 * 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-ehhb37m2/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":769
 * 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;

/* "scipy/linalg/cython_blas.pxd":17
 * # The original libraries should be linked directly.
 * 
 * ctypedef float s             # <<<<<<<<<<<<<<
 * ctypedef double d
 * ctypedef float complex c
*/
typedef float __pyx_t_5scipy_6linalg_11cython_blas_s;

/* "scipy/linalg/cython_blas.pxd":18
 * 
 * ctypedef float s
 * ctypedef double d             # <<<<<<<<<<<<<<
 * ctypedef float complex c
 * ctypedef double complex z
*/
typedef double __pyx_t_5scipy_6linalg_11cython_blas_d;

/* "scipy/linalg/cython_lapack.pxd":17
 * # The original libraries should be linked directly.
 * 
 * ctypedef float s             # <<<<<<<<<<<<<<
 * ctypedef double d
 * ctypedef float complex c
*/
typedef float __pyx_t_5scipy_6linalg_13cython_lapack_s;

/* "scipy/linalg/cython_lapack.pxd":18
 * 
 * ctypedef float s
 * ctypedef double d             # <<<<<<<<<<<<<<
 * ctypedef float complex c
 * ctypedef double complex z
*/
typedef double __pyx_t_5scipy_6linalg_13cython_lapack_d;
/* #### 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_11statsmodels_3tsa_10statespace_15_representation_sStatespace;
struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_dStatespace;
struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_cStatespace;
struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_zStatespace;
struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_sKalmanFilter;
struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_dKalmanFilter;
struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_cKalmanFilter;
struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_zKalmanFilter;
struct __pyx_array_obj;
struct __pyx_MemviewEnum_obj;
struct __pyx_memoryview_obj;
struct __pyx_memoryviewslice_obj;
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11sStatespace_seek;
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11sStatespace_transform;
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11sStatespace_transform_diagonalize;
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11sStatespace_transform_generalized_collapse;
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11dStatespace_seek;
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11dStatespace_transform;
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11dStatespace_transform_diagonalize;
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11dStatespace_transform_generalized_collapse;
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11cStatespace_seek;
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11cStatespace_transform;
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11cStatespace_transform_diagonalize;
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11cStatespace_transform_generalized_collapse;
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11zStatespace_seek;
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11zStatespace_transform;
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11zStatespace_transform_diagonalize;
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11zStatespace_transform_generalized_collapse;

/* "statsmodels/tsa/statespace/_representation.pxd":79
 * 
 *     # Functions
 *     cpdef seek(self, unsigned int t, unsigned int transform_diagonalize, unsigned int transform_generalized_collapse, unsigned int reset=*)             # <<<<<<<<<<<<<<
 * 
 *     cdef void set_dimensions(self, unsigned int k_endog, unsigned int k_states, unsigned int k_posdef)
*/
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11sStatespace_seek {
  int __pyx_n;
  unsigned int reset;
};

/* "statsmodels/tsa/statespace/_representation.pxd":86
 *     cdef void _select_missing_entire_obs(self, unsigned int t)
 *     cdef void _select_missing_partial_obs(self, unsigned int t)
 *     cdef void transform(self, unsigned int t, unsigned int previous_t, unsigned int transform_diagonalize, unsigned int transform_generalized_collapse, unsigned int reset=*) except *             # <<<<<<<<<<<<<<
 *     cdef void transform_diagonalize(self, unsigned int t, unsigned int previous_t, unsigned int reset=*) except *
 *     cdef int transform_generalized_collapse(self, unsigned int t, unsigned int previous_t, unsigned int reset=*) except *
*/
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11sStatespace_transform {
  int __pyx_n;
  unsigned int reset;
};

/* "statsmodels/tsa/statespace/_representation.pxd":87
 *     cdef void _select_missing_partial_obs(self, unsigned int t)
 *     cdef void transform(self, unsigned int t, unsigned int previous_t, unsigned int transform_diagonalize, unsigned int transform_generalized_collapse, unsigned int reset=*) except *
 *     cdef void transform_diagonalize(self, unsigned int t, unsigned int previous_t, unsigned int reset=*) except *             # <<<<<<<<<<<<<<
 *     cdef int transform_generalized_collapse(self, unsigned int t, unsigned int previous_t, unsigned int reset=*) except *
 * 
*/
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11sStatespace_transform_diagonalize {
  int __pyx_n;
  unsigned int reset;
};

/* "statsmodels/tsa/statespace/_representation.pxd":88
 *     cdef void transform(self, unsigned int t, unsigned int previous_t, unsigned int transform_diagonalize, unsigned int transform_generalized_collapse, unsigned int reset=*) except *
 *     cdef void transform_diagonalize(self, unsigned int t, unsigned int previous_t, unsigned int reset=*) except *
 *     cdef int transform_generalized_collapse(self, unsigned int t, unsigned int previous_t, unsigned int reset=*) except *             # <<<<<<<<<<<<<<
 * 
 * cdef class dStatespace(object):
*/
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11sStatespace_transform_generalized_collapse {
  int __pyx_n;
  unsigned int reset;
};

/* "statsmodels/tsa/statespace/_representation.pxd":156
 * 
 *     # Functions
 *     cpdef seek(self, unsigned int t, unsigned int transform_diagonalize, unsigned int transform_generalized_collapse, unsigned int reset=*)             # <<<<<<<<<<<<<<
 * 
 *     cdef void set_dimensions(self, unsigned int k_endog, unsigned int k_states, unsigned int k_posdef)
*/
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11dStatespace_seek {
  int __pyx_n;
  unsigned int reset;
};

/* "statsmodels/tsa/statespace/_representation.pxd":163
 *     cdef void _select_missing_entire_obs(self, unsigned int t)
 *     cdef void _select_missing_partial_obs(self, unsigned int t)
 *     cdef void transform(self, unsigned int t, unsigned int previous_t, unsigned int transform_diagonalize, unsigned int transform_generalized_collapse, unsigned int reset=*) except *             # <<<<<<<<<<<<<<
 *     cdef void transform_diagonalize(self, unsigned int t, unsigned int previous_t, unsigned int reset=*) except *
 *     cdef int transform_generalized_collapse(self, unsigned int t, unsigned int previous_t, unsigned int reset=*) except *
*/
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11dStatespace_transform {
  int __pyx_n;
  unsigned int reset;
};

/* "statsmodels/tsa/statespace/_representation.pxd":164
 *     cdef void _select_missing_partial_obs(self, unsigned int t)
 *     cdef void transform(self, unsigned int t, unsigned int previous_t, unsigned int transform_diagonalize, unsigned int transform_generalized_collapse, unsigned int reset=*) except *
 *     cdef void transform_diagonalize(self, unsigned int t, unsigned int previous_t, unsigned int reset=*) except *             # <<<<<<<<<<<<<<
 *     cdef int transform_generalized_collapse(self, unsigned int t, unsigned int previous_t, unsigned int reset=*) except *
 * 
*/
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11dStatespace_transform_diagonalize {
  int __pyx_n;
  unsigned int reset;
};

/* "statsmodels/tsa/statespace/_representation.pxd":165
 *     cdef void transform(self, unsigned int t, unsigned int previous_t, unsigned int transform_diagonalize, unsigned int transform_generalized_collapse, unsigned int reset=*) except *
 *     cdef void transform_diagonalize(self, unsigned int t, unsigned int previous_t, unsigned int reset=*) except *
 *     cdef int transform_generalized_collapse(self, unsigned int t, unsigned int previous_t, unsigned int reset=*) except *             # <<<<<<<<<<<<<<
 * 
 * cdef class cStatespace(object):
*/
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11dStatespace_transform_generalized_collapse {
  int __pyx_n;
  unsigned int reset;
};

/* "statsmodels/tsa/statespace/_representation.pxd":233
 * 
 *     # Functions
 *     cpdef seek(self, unsigned int t, unsigned int transform_diagonalize, unsigned int transform_generalized_collapse, unsigned int reset=*)             # <<<<<<<<<<<<<<
 * 
 *     cdef void set_dimensions(self, unsigned int k_endog, unsigned int k_states, unsigned int k_posdef)
*/
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11cStatespace_seek {
  int __pyx_n;
  unsigned int reset;
};

/* "statsmodels/tsa/statespace/_representation.pxd":240
 *     cdef void _select_missing_entire_obs(self, unsigned int t)
 *     cdef void _select_missing_partial_obs(self, unsigned int t)
 *     cdef void transform(self, unsigned int t, unsigned int previous_t, unsigned int transform_diagonalize, unsigned int transform_generalized_collapse, unsigned int reset=*) except *             # <<<<<<<<<<<<<<
 *     cdef void transform_diagonalize(self, unsigned int t, unsigned int previous_t, unsigned int reset=*) except *
 *     cdef int transform_generalized_collapse(self, unsigned int t, unsigned int previous_t, unsigned int reset=*) except *
*/
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11cStatespace_transform {
  int __pyx_n;
  unsigned int reset;
};

/* "statsmodels/tsa/statespace/_representation.pxd":241
 *     cdef void _select_missing_partial_obs(self, unsigned int t)
 *     cdef void transform(self, unsigned int t, unsigned int previous_t, unsigned int transform_diagonalize, unsigned int transform_generalized_collapse, unsigned int reset=*) except *
 *     cdef void transform_diagonalize(self, unsigned int t, unsigned int previous_t, unsigned int reset=*) except *             # <<<<<<<<<<<<<<
 *     cdef int transform_generalized_collapse(self, unsigned int t, unsigned int previous_t, unsigned int reset=*) except *
 * 
*/
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11cStatespace_transform_diagonalize {
  int __pyx_n;
  unsigned int reset;
};

/* "statsmodels/tsa/statespace/_representation.pxd":242
 *     cdef void transform(self, unsigned int t, unsigned int previous_t, unsigned int transform_diagonalize, unsigned int transform_generalized_collapse, unsigned int reset=*) except *
 *     cdef void transform_diagonalize(self, unsigned int t, unsigned int previous_t, unsigned int reset=*) except *
 *     cdef int transform_generalized_collapse(self, unsigned int t, unsigned int previous_t, unsigned int reset=*) except *             # <<<<<<<<<<<<<<
 * 
 * cdef class zStatespace(object):
*/
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11cStatespace_transform_generalized_collapse {
  int __pyx_n;
  unsigned int reset;
};

/* "statsmodels/tsa/statespace/_representation.pxd":310
 * 
 *     # Functions
 *     cpdef seek(self, unsigned int t, unsigned int transform_diagonalize, unsigned int transform_generalized_collapse, unsigned int reset=*)             # <<<<<<<<<<<<<<
 * 
 *     cdef void set_dimensions(self, unsigned int k_endog, unsigned int k_states, unsigned int k_posdef)
*/
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11zStatespace_seek {
  int __pyx_n;
  unsigned int reset;
};

/* "statsmodels/tsa/statespace/_representation.pxd":317
 *     cdef void _select_missing_entire_obs(self, unsigned int t)
 *     cdef void _select_missing_partial_obs(self, unsigned int t)
 *     cdef void transform(self, unsigned int t, unsigned int previous_t, unsigned int transform_diagonalize, unsigned int transform_generalized_collapse, unsigned int reset=*) except *             # <<<<<<<<<<<<<<
 *     cdef void transform_diagonalize(self, unsigned int t, unsigned int previous_t, unsigned int reset=*) except *
 *     cdef int transform_generalized_collapse(self, unsigned int t, unsigned int previous_t, unsigned int reset=*) except *
*/
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11zStatespace_transform {
  int __pyx_n;
  unsigned int reset;
};

/* "statsmodels/tsa/statespace/_representation.pxd":318
 *     cdef void _select_missing_partial_obs(self, unsigned int t)
 *     cdef void transform(self, unsigned int t, unsigned int previous_t, unsigned int transform_diagonalize, unsigned int transform_generalized_collapse, unsigned int reset=*) except *
 *     cdef void transform_diagonalize(self, unsigned int t, unsigned int previous_t, unsigned int reset=*) except *             # <<<<<<<<<<<<<<
 *     cdef int transform_generalized_collapse(self, unsigned int t, unsigned int previous_t, unsigned int reset=*) except *
 * 
*/
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11zStatespace_transform_diagonalize {
  int __pyx_n;
  unsigned int reset;
};

/* "statsmodels/tsa/statespace/_representation.pxd":319
 *     cdef void transform(self, unsigned int t, unsigned int previous_t, unsigned int transform_diagonalize, unsigned int transform_generalized_collapse, unsigned int reset=*) except *
 *     cdef void transform_diagonalize(self, unsigned int t, unsigned int previous_t, unsigned int reset=*) except *
 *     cdef int transform_generalized_collapse(self, unsigned int t, unsigned int previous_t, unsigned int reset=*) except *             # <<<<<<<<<<<<<<
 * 
 * cdef int sselect_cov(int k, int k_posdef,
*/
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11zStatespace_transform_generalized_collapse {
  int __pyx_n;
  unsigned int reset;
};
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_14_kalman_filter_13sKalmanFilter_set_filter_method;
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_14_kalman_filter_13sKalmanFilter_seek;
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_14_kalman_filter_13dKalmanFilter_set_filter_method;
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_14_kalman_filter_13dKalmanFilter_seek;
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_14_kalman_filter_13cKalmanFilter_set_filter_method;
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_14_kalman_filter_13cKalmanFilter_seek;
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_14_kalman_filter_13zKalmanFilter_set_filter_method;
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_14_kalman_filter_13zKalmanFilter_seek;

/* "statsmodels/tsa/statespace/_kalman_filter.pxd":202
 *     cdef allocate_arrays(self)
 *     cdef void set_dimensions(self)
 *     cpdef set_filter_method(self, int filter_method, int force_reset=*)             # <<<<<<<<<<<<<<
 *     cpdef seek(self, unsigned int t, int reset=*)
 * 
*/
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_14_kalman_filter_13sKalmanFilter_set_filter_method {
  int __pyx_n;
  int force_reset;
};

/* "statsmodels/tsa/statespace/_kalman_filter.pxd":203
 *     cdef void set_dimensions(self)
 *     cpdef set_filter_method(self, int filter_method, int force_reset=*)
 *     cpdef seek(self, unsigned int t, int reset=*)             # <<<<<<<<<<<<<<
 * 
 *     cdef void initialize_statespace_object_pointers(self) except *
*/
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_14_kalman_filter_13sKalmanFilter_seek {
  int __pyx_n;
  int reset;
};

/* "statsmodels/tsa/statespace/_kalman_filter.pxd":356
 *     cdef allocate_arrays(self)
 *     cdef void set_dimensions(self)
 *     cpdef set_filter_method(self, int filter_method, int force_reset=*)             # <<<<<<<<<<<<<<
 *     cpdef seek(self, unsigned int t, int reset=*)
 * 
*/
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_14_kalman_filter_13dKalmanFilter_set_filter_method {
  int __pyx_n;
  int force_reset;
};

/* "statsmodels/tsa/statespace/_kalman_filter.pxd":357
 *     cdef void set_dimensions(self)
 *     cpdef set_filter_method(self, int filter_method, int force_reset=*)
 *     cpdef seek(self, unsigned int t, int reset=*)             # <<<<<<<<<<<<<<
 * 
 *     cdef void initialize_statespace_object_pointers(self) except *
*/
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_14_kalman_filter_13dKalmanFilter_seek {
  int __pyx_n;
  int reset;
};

/* "statsmodels/tsa/statespace/_kalman_filter.pxd":511
 *     cdef allocate_arrays(self)
 *     cdef void set_dimensions(self)
 *     cpdef set_filter_method(self, int filter_method, int force_reset=*)             # <<<<<<<<<<<<<<
 *     cpdef seek(self, unsigned int t, int reset=*)
 * 
*/
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_14_kalman_filter_13cKalmanFilter_set_filter_method {
  int __pyx_n;
  int force_reset;
};

/* "statsmodels/tsa/statespace/_kalman_filter.pxd":512
 *     cdef void set_dimensions(self)
 *     cpdef set_filter_method(self, int filter_method, int force_reset=*)
 *     cpdef seek(self, unsigned int t, int reset=*)             # <<<<<<<<<<<<<<
 * 
 *     cdef void initialize_statespace_object_pointers(self) except *
*/
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_14_kalman_filter_13cKalmanFilter_seek {
  int __pyx_n;
  int reset;
};

/* "statsmodels/tsa/statespace/_kalman_filter.pxd":666
 *     cdef allocate_arrays(self)
 *     cdef void set_dimensions(self)
 *     cpdef set_filter_method(self, int filter_method, int force_reset=*)             # <<<<<<<<<<<<<<
 *     cpdef seek(self, unsigned int t, int reset=*)
 * 
*/
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_14_kalman_filter_13zKalmanFilter_set_filter_method {
  int __pyx_n;
  int force_reset;
};

/* "statsmodels/tsa/statespace/_kalman_filter.pxd":667
 *     cdef void set_dimensions(self)
 *     cpdef set_filter_method(self, int filter_method, int force_reset=*)
 *     cpdef seek(self, unsigned int t, int reset=*)             # <<<<<<<<<<<<<<
 * 
 *     cdef void initialize_statespace_object_pointers(self) except *
*/
struct __pyx_opt_args_11statsmodels_3tsa_10statespace_14_kalman_filter_13zKalmanFilter_seek {
  int __pyx_n;
  int reset;
};

/* "scipy/linalg/cython_lapack.pxd":24
 * # Function pointer type declarations for
 * # gees and gges families of functions.
 * ctypedef bint cselect1(c*)             # <<<<<<<<<<<<<<
 * ctypedef bint cselect2(c*, c*)
 * ctypedef bint dselect2(d*, d*)
*/
typedef int __pyx_t_5scipy_6linalg_13cython_lapack_cselect1(__pyx_t_float_complex *);

/* "scipy/linalg/cython_lapack.pxd":25
 * # gees and gges families of functions.
 * ctypedef bint cselect1(c*)
 * ctypedef bint cselect2(c*, c*)             # <<<<<<<<<<<<<<
 * ctypedef bint dselect2(d*, d*)
 * ctypedef bint dselect3(d*, d*, d*)
*/
typedef int __pyx_t_5scipy_6linalg_13cython_lapack_cselect2(__pyx_t_float_complex *, __pyx_t_float_complex *);

/* "scipy/linalg/cython_lapack.pxd":26
 * ctypedef bint cselect1(c*)
 * ctypedef bint cselect2(c*, c*)
 * ctypedef bint dselect2(d*, d*)             # <<<<<<<<<<<<<<
 * ctypedef bint dselect3(d*, d*, d*)
 * ctypedef bint sselect2(s*, s*)
*/
typedef int __pyx_t_5scipy_6linalg_13cython_lapack_dselect2(__pyx_t_5scipy_6linalg_13cython_lapack_d *, __pyx_t_5scipy_6linalg_13cython_lapack_d *);

/* "scipy/linalg/cython_lapack.pxd":27
 * ctypedef bint cselect2(c*, c*)
 * ctypedef bint dselect2(d*, d*)
 * ctypedef bint dselect3(d*, d*, d*)             # <<<<<<<<<<<<<<
 * ctypedef bint sselect2(s*, s*)
 * ctypedef bint sselect3(s*, s*, s*)
*/
typedef int __pyx_t_5scipy_6linalg_13cython_lapack_dselect3(__pyx_t_5scipy_6linalg_13cython_lapack_d *, __pyx_t_5scipy_6linalg_13cython_lapack_d *, __pyx_t_5scipy_6linalg_13cython_lapack_d *);

/* "scipy/linalg/cython_lapack.pxd":28
 * ctypedef bint dselect2(d*, d*)
 * ctypedef bint dselect3(d*, d*, d*)
 * ctypedef bint sselect2(s*, s*)             # <<<<<<<<<<<<<<
 * ctypedef bint sselect3(s*, s*, s*)
 * ctypedef bint zselect1(z*)
*/
typedef int __pyx_t_5scipy_6linalg_13cython_lapack_sselect2(__pyx_t_5scipy_6linalg_13cython_lapack_s *, __pyx_t_5scipy_6linalg_13cython_lapack_s *);

/* "scipy/linalg/cython_lapack.pxd":29
 * ctypedef bint dselect3(d*, d*, d*)
 * ctypedef bint sselect2(s*, s*)
 * ctypedef bint sselect3(s*, s*, s*)             # <<<<<<<<<<<<<<
 * ctypedef bint zselect1(z*)
 * ctypedef bint zselect2(z*, z*)
*/
typedef int __pyx_t_5scipy_6linalg_13cython_lapack_sselect3(__pyx_t_5scipy_6linalg_13cython_lapack_s *, __pyx_t_5scipy_6linalg_13cython_lapack_s *, __pyx_t_5scipy_6linalg_13cython_lapack_s *);

/* "scipy/linalg/cython_lapack.pxd":30
 * ctypedef bint sselect2(s*, s*)
 * ctypedef bint sselect3(s*, s*, s*)
 * ctypedef bint zselect1(z*)             # <<<<<<<<<<<<<<
 * ctypedef bint zselect2(z*, z*)
 * 
*/
typedef int __pyx_t_5scipy_6linalg_13cython_lapack_zselect1(__pyx_t_double_complex *);

/* "scipy/linalg/cython_lapack.pxd":31
 * ctypedef bint sselect3(s*, s*, s*)
 * ctypedef bint zselect1(z*)
 * ctypedef bint zselect2(z*, z*)             # <<<<<<<<<<<<<<
 * 
 * cdef void cbbcsd(char *jobu1, char *jobu2, char *jobv1t, char *jobv2t, char *trans, int *m, int *p, int *q, s *theta, s *phi, c *u1, int *ldu1, c *u2, int *ldu2, c *v1t, int *ldv1t, c *v2t, int *ldv2t, s *b11d, s *b11e, s *b12d, s *b12e, s *b21d, s *b21e, s *b22d, s *b22e, s *rwork, int *lrwork, int *info) noexcept nogil
*/
typedef int __pyx_t_5scipy_6linalg_13cython_lapack_zselect2(__pyx_t_double_complex *, __pyx_t_double_complex *);

/* "statsmodels/tsa/statespace/_representation.pxd":13
 * cimport numpy as np
 * 
 * cdef class sStatespace(object):             # <<<<<<<<<<<<<<
 *     # Statespace dimensions
 *     cdef readonly int nobs, k_endog, k_states, k_posdef
*/
struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_sStatespace {
  PyObject_HEAD
  struct __pyx_vtabstruct_11statsmodels_3tsa_10statespace_15_representation_sStatespace *__pyx_vtab;
  int nobs;
  int k_endog;
  int k_states;
  int k_posdef;
  __Pyx_memviewslice obs;
  __Pyx_memviewslice obs_intercept;
  __Pyx_memviewslice state_intercept;
  __Pyx_memviewslice initial_state;
  __Pyx_memviewslice initial_state_cov;
  __Pyx_memviewslice initial_diffuse_state_cov;
  __Pyx_memviewslice design;
  __Pyx_memviewslice obs_cov;
  __Pyx_memviewslice transition;
  __Pyx_memviewslice selection;
  __Pyx_memviewslice state_cov;
  __Pyx_memviewslice selected_state_cov;
  __Pyx_memviewslice missing;
  __Pyx_memviewslice nmissing;
  int has_missing;
  int time_invariant;
  int initialized;
  int initialized_diffuse;
  int initialized_stationary;
  int diagonal_obs_cov;
  int _diagonal_obs_cov;
  int subset_design;
  int companion_transition;
  int identity_transition;
  __Pyx_memviewslice tmp;
  __Pyx_memviewslice selected_obs;
  __Pyx_memviewslice selected_obs_intercept;
  __Pyx_memviewslice selected_design;
  __Pyx_memviewslice selected_obs_cov;
  __Pyx_memviewslice transform_cholesky;
  __Pyx_memviewslice transform_obs_cov;
  __Pyx_memviewslice transform_design;
  __Pyx_memviewslice transform_obs_intercept;
  __pyx_t_5numpy_float32_t transform_determinant;
  __Pyx_memviewslice collapse_obs;
  __Pyx_memviewslice collapse_obs_tmp;
  __Pyx_memviewslice collapse_design;
  __Pyx_memviewslice collapse_obs_cov;
  __Pyx_memviewslice collapse_cholesky;
  __pyx_t_5numpy_float32_t collapse_loglikelihood;
  __pyx_t_5numpy_float32_t *_obs;
  __pyx_t_5numpy_float32_t *_design;
  __pyx_t_5numpy_float32_t *_obs_intercept;
  __pyx_t_5numpy_float32_t *_obs_cov;
  __pyx_t_5numpy_float32_t *_transition;
  __pyx_t_5numpy_float32_t *_state_intercept;
  __pyx_t_5numpy_float32_t *_selection;
  __pyx_t_5numpy_float32_t *_state_cov;
  __pyx_t_5numpy_float32_t *_selected_state_cov;
  __pyx_t_5numpy_float32_t *_initial_state;
  __pyx_t_5numpy_float32_t *_initial_state_cov;
  __pyx_t_5numpy_float32_t *_initial_diffuse_state_cov;
  int t;
  int _previous_t;
  int _k_endog;
  int _k_states;
  int _k_posdef;
  int _k_endog2;
  int _k_states2;
  int _k_posdef2;
  int _k_endogstates;
  int _k_statesposdef;
  int _nmissing;
};


/* "statsmodels/tsa/statespace/_representation.pxd":90
 *     cdef int transform_generalized_collapse(self, unsigned int t, unsigned int previous_t, unsigned int reset=*) except *
 * 
 * cdef class dStatespace(object):             # <<<<<<<<<<<<<<
 *     # Statespace dimensions
 *     cdef readonly int nobs, k_endog, k_states, k_posdef
*/
struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_dStatespace {
  PyObject_HEAD
  struct __pyx_vtabstruct_11statsmodels_3tsa_10statespace_15_representation_dStatespace *__pyx_vtab;
  int nobs;
  int k_endog;
  int k_states;
  int k_posdef;
  __Pyx_memviewslice obs;
  __Pyx_memviewslice obs_intercept;
  __Pyx_memviewslice state_intercept;
  __Pyx_memviewslice initial_state;
  __Pyx_memviewslice initial_state_cov;
  __Pyx_memviewslice initial_diffuse_state_cov;
  __Pyx_memviewslice design;
  __Pyx_memviewslice obs_cov;
  __Pyx_memviewslice transition;
  __Pyx_memviewslice selection;
  __Pyx_memviewslice state_cov;
  __Pyx_memviewslice selected_state_cov;
  __Pyx_memviewslice missing;
  __Pyx_memviewslice nmissing;
  int has_missing;
  int time_invariant;
  int initialized;
  int initialized_diffuse;
  int initialized_stationary;
  int diagonal_obs_cov;
  int _diagonal_obs_cov;
  int subset_design;
  int companion_transition;
  int identity_transition;
  __Pyx_memviewslice tmp;
  __Pyx_memviewslice selected_obs;
  __Pyx_memviewslice selected_obs_intercept;
  __Pyx_memviewslice selected_design;
  __Pyx_memviewslice selected_obs_cov;
  __Pyx_memviewslice transform_cholesky;
  __Pyx_memviewslice transform_obs_cov;
  __Pyx_memviewslice transform_design;
  __Pyx_memviewslice transform_obs_intercept;
  __pyx_t_5numpy_float64_t transform_determinant;
  __Pyx_memviewslice collapse_obs;
  __Pyx_memviewslice collapse_obs_tmp;
  __Pyx_memviewslice collapse_design;
  __Pyx_memviewslice collapse_obs_cov;
  __Pyx_memviewslice collapse_cholesky;
  __pyx_t_5numpy_float64_t collapse_loglikelihood;
  __pyx_t_5numpy_float64_t *_obs;
  __pyx_t_5numpy_float64_t *_design;
  __pyx_t_5numpy_float64_t *_obs_intercept;
  __pyx_t_5numpy_float64_t *_obs_cov;
  __pyx_t_5numpy_float64_t *_transition;
  __pyx_t_5numpy_float64_t *_state_intercept;
  __pyx_t_5numpy_float64_t *_selection;
  __pyx_t_5numpy_float64_t *_state_cov;
  __pyx_t_5numpy_float64_t *_selected_state_cov;
  __pyx_t_5numpy_float64_t *_initial_state;
  __pyx_t_5numpy_float64_t *_initial_state_cov;
  __pyx_t_5numpy_float64_t *_initial_diffuse_state_cov;
  int t;
  int _previous_t;
  int _k_endog;
  int _k_states;
  int _k_posdef;
  int _k_endog2;
  int _k_states2;
  int _k_posdef2;
  int _k_endogstates;
  int _k_statesposdef;
  int _nmissing;
};


/* "statsmodels/tsa/statespace/_representation.pxd":167
 *     cdef int transform_generalized_collapse(self, unsigned int t, unsigned int previous_t, unsigned int reset=*) except *
 * 
 * cdef class cStatespace(object):             # <<<<<<<<<<<<<<
 *     # Statespace dimensions
 *     cdef readonly int nobs, k_endog, k_states, k_posdef
*/
struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_cStatespace {
  PyObject_HEAD
  struct __pyx_vtabstruct_11statsmodels_3tsa_10statespace_15_representation_cStatespace *__pyx_vtab;
  int nobs;
  int k_endog;
  int k_states;
  int k_posdef;
  __Pyx_memviewslice obs;
  __Pyx_memviewslice obs_intercept;
  __Pyx_memviewslice state_intercept;
  __Pyx_memviewslice initial_state;
  __Pyx_memviewslice initial_state_cov;
  __Pyx_memviewslice initial_diffuse_state_cov;
  __Pyx_memviewslice design;
  __Pyx_memviewslice obs_cov;
  __Pyx_memviewslice transition;
  __Pyx_memviewslice selection;
  __Pyx_memviewslice state_cov;
  __Pyx_memviewslice selected_state_cov;
  __Pyx_memviewslice missing;
  __Pyx_memviewslice nmissing;
  int has_missing;
  int time_invariant;
  int initialized;
  int initialized_diffuse;
  int initialized_stationary;
  int diagonal_obs_cov;
  int _diagonal_obs_cov;
  int subset_design;
  int companion_transition;
  int identity_transition;
  __Pyx_memviewslice tmp;
  __Pyx_memviewslice selected_obs;
  __Pyx_memviewslice selected_obs_intercept;
  __Pyx_memviewslice selected_design;
  __Pyx_memviewslice selected_obs_cov;
  __Pyx_memviewslice transform_cholesky;
  __Pyx_memviewslice transform_obs_cov;
  __Pyx_memviewslice transform_design;
  __Pyx_memviewslice transform_obs_intercept;
  __pyx_t_float_complex transform_determinant;
  __Pyx_memviewslice collapse_obs;
  __Pyx_memviewslice collapse_obs_tmp;
  __Pyx_memviewslice collapse_design;
  __Pyx_memviewslice collapse_obs_cov;
  __Pyx_memviewslice collapse_cholesky;
  __pyx_t_float_complex collapse_loglikelihood;
  __pyx_t_float_complex *_obs;
  __pyx_t_float_complex *_design;
  __pyx_t_float_complex *_obs_intercept;
  __pyx_t_float_complex *_obs_cov;
  __pyx_t_float_complex *_transition;
  __pyx_t_float_complex *_state_intercept;
  __pyx_t_float_complex *_selection;
  __pyx_t_float_complex *_state_cov;
  __pyx_t_float_complex *_selected_state_cov;
  __pyx_t_float_complex *_initial_state;
  __pyx_t_float_complex *_initial_state_cov;
  __pyx_t_float_complex *_initial_diffuse_state_cov;
  int t;
  int _previous_t;
  int _k_endog;
  int _k_states;
  int _k_posdef;
  int _k_endog2;
  int _k_states2;
  int _k_posdef2;
  int _k_endogstates;
  int _k_statesposdef;
  int _nmissing;
};


/* "statsmodels/tsa/statespace/_representation.pxd":244
 *     cdef int transform_generalized_collapse(self, unsigned int t, unsigned int previous_t, unsigned int reset=*) except *
 * 
 * cdef class zStatespace(object):             # <<<<<<<<<<<<<<
 *     # Statespace dimensions
 *     cdef readonly int nobs, k_endog, k_states, k_posdef
*/
struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_zStatespace {
  PyObject_HEAD
  struct __pyx_vtabstruct_11statsmodels_3tsa_10statespace_15_representation_zStatespace *__pyx_vtab;
  int nobs;
  int k_endog;
  int k_states;
  int k_posdef;
  __Pyx_memviewslice obs;
  __Pyx_memviewslice obs_intercept;
  __Pyx_memviewslice state_intercept;
  __Pyx_memviewslice initial_state;
  __Pyx_memviewslice initial_state_cov;
  __Pyx_memviewslice initial_diffuse_state_cov;
  __Pyx_memviewslice design;
  __Pyx_memviewslice obs_cov;
  __Pyx_memviewslice transition;
  __Pyx_memviewslice selection;
  __Pyx_memviewslice state_cov;
  __Pyx_memviewslice selected_state_cov;
  __Pyx_memviewslice missing;
  __Pyx_memviewslice nmissing;
  int has_missing;
  int time_invariant;
  int initialized;
  int initialized_diffuse;
  int initialized_stationary;
  int diagonal_obs_cov;
  int _diagonal_obs_cov;
  int subset_design;
  int companion_transition;
  int identity_transition;
  __Pyx_memviewslice tmp;
  __Pyx_memviewslice selected_obs;
  __Pyx_memviewslice selected_obs_intercept;
  __Pyx_memviewslice selected_design;
  __Pyx_memviewslice selected_obs_cov;
  __Pyx_memviewslice transform_cholesky;
  __Pyx_memviewslice transform_obs_cov;
  __Pyx_memviewslice transform_design;
  __Pyx_memviewslice transform_obs_intercept;
  __pyx_t_double_complex transform_determinant;
  __Pyx_memviewslice collapse_obs;
  __Pyx_memviewslice collapse_obs_tmp;
  __Pyx_memviewslice collapse_design;
  __Pyx_memviewslice collapse_obs_cov;
  __Pyx_memviewslice collapse_cholesky;
  __pyx_t_double_complex collapse_loglikelihood;
  __pyx_t_double_complex *_obs;
  __pyx_t_double_complex *_design;
  __pyx_t_double_complex *_obs_intercept;
  __pyx_t_double_complex *_obs_cov;
  __pyx_t_double_complex *_transition;
  __pyx_t_double_complex *_state_intercept;
  __pyx_t_double_complex *_selection;
  __pyx_t_double_complex *_state_cov;
  __pyx_t_double_complex *_selected_state_cov;
  __pyx_t_double_complex *_initial_state;
  __pyx_t_double_complex *_initial_state_cov;
  __pyx_t_double_complex *_initial_diffuse_state_cov;
  int t;
  int _previous_t;
  int _k_endog;
  int _k_states;
  int _k_posdef;
  int _k_endog2;
  int _k_states2;
  int _k_posdef2;
  int _k_endogstates;
  int _k_statesposdef;
  int _nmissing;
};


/* "statsmodels/tsa/statespace/_kalman_filter.pxd":67
 * 
 * # Single precision
 * cdef class sKalmanFilter(object):             # <<<<<<<<<<<<<<
 *     # Statespace object
 *     cdef readonly sStatespace model
*/
struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_sKalmanFilter {
  PyObject_HEAD
  struct __pyx_vtabstruct_11statsmodels_3tsa_10statespace_14_kalman_filter_sKalmanFilter *__pyx_vtab;
  struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_sStatespace *model;
  int t;
  __pyx_t_5numpy_float64_t tolerance;
  __pyx_t_5numpy_float64_t tolerance_diffuse;
  int nobs_diffuse;
  int nobs_kendog_diffuse_nonsingular;
  int nobs_kendog_univariate_singular;
  int converged;
  int period_converged;
  int time_invariant;
  int filter_method;
  int inversion_method;
  int stability_method;
  int conserve_memory;
  int filter_timing;
  int loglikelihood_burn;
  __Pyx_memviewslice univariate_filter;
  __Pyx_memviewslice loglikelihood;
  __Pyx_memviewslice scale;
  __Pyx_memviewslice filtered_state;
  __Pyx_memviewslice predicted_state;
  __Pyx_memviewslice forecast;
  __Pyx_memviewslice forecast_error;
  __Pyx_memviewslice standardized_forecast_error;
  __Pyx_memviewslice filtered_state_cov;
  __Pyx_memviewslice predicted_state_cov;
  __Pyx_memviewslice forecast_error_cov;
  __Pyx_memviewslice predicted_diffuse_state_cov;
  __Pyx_memviewslice forecast_error_diffuse_cov;
  __Pyx_memviewslice M;
  __Pyx_memviewslice M_inf;
  __Pyx_memviewslice kalman_gain;
  __Pyx_memviewslice converged_forecast_error_cov;
  __Pyx_memviewslice converged_filtered_state_cov;
  __Pyx_memviewslice converged_predicted_state_cov;
  __Pyx_memviewslice converged_kalman_gain;
  __Pyx_memviewslice converged_M;
  __pyx_t_5numpy_float32_t converged_determinant;
  __Pyx_memviewslice forecast_error_fac;
  __Pyx_memviewslice forecast_error_ipiv;
  __Pyx_memviewslice forecast_error_work;
  __Pyx_memviewslice tmp0;
  __Pyx_memviewslice tmp00;
  __Pyx_memviewslice tmp2;
  __Pyx_memviewslice tmp1;
  __Pyx_memviewslice tmp3;
  __Pyx_memviewslice tmp4;
  __Pyx_memviewslice tmpK0;
  __Pyx_memviewslice tmpK1;
  __Pyx_memviewslice tmpL0;
  __Pyx_memviewslice tmpL1;
  __Pyx_memviewslice CW;
  __Pyx_memviewslice CtmpW;
  __Pyx_memviewslice CMW;
  __Pyx_memviewslice CM;
  __Pyx_memviewslice CprevFiZ;
  __Pyx_memviewslice CtmpM;
  __Pyx_memviewslice CMWZ;
  __pyx_t_5numpy_float32_t determinant;
  __pyx_t_5numpy_float32_t *_input_state;
  __pyx_t_5numpy_float32_t *_input_state_cov;
  __pyx_t_5numpy_float32_t *_input_diffuse_state_cov;
  __pyx_t_5numpy_float32_t *_forecast;
  __pyx_t_5numpy_float32_t *_forecast_error;
  __pyx_t_5numpy_float32_t *_standardized_forecast_error;
  __pyx_t_5numpy_float32_t *_forecast_error_cov;
  __pyx_t_5numpy_float32_t *_filtered_state;
  __pyx_t_5numpy_float32_t *_filtered_state_cov;
  __pyx_t_5numpy_float32_t *_predicted_state;
  __pyx_t_5numpy_float32_t *_predicted_state_cov;
  __pyx_t_5numpy_float32_t *_forecast_error_diffuse_cov;
  __pyx_t_5numpy_float32_t *_predicted_diffuse_state_cov;
  __pyx_t_5numpy_float32_t *_M;
  __pyx_t_5numpy_float32_t *_M_inf;
  __pyx_t_5numpy_float32_t *_kalman_gain;
  __pyx_t_5numpy_float32_t *_loglikelihood;
  __pyx_t_5numpy_float32_t *_scale;
  __pyx_t_5numpy_float32_t *_converged_forecast_error_cov;
  __pyx_t_5numpy_float32_t *_converged_filtered_state_cov;
  __pyx_t_5numpy_float32_t *_converged_predicted_state_cov;
  __pyx_t_5numpy_float32_t *_converged_kalman_gain;
  __pyx_t_5numpy_float32_t *_converged_M;
  __pyx_t_5numpy_float32_t *_forecast_error_fac;
  int *_forecast_error_ipiv;
  __pyx_t_5numpy_float32_t *_forecast_error_work;
  __pyx_t_5numpy_float32_t *_tmp0;
  __pyx_t_5numpy_float32_t *_tmp00;
  __pyx_t_5numpy_float32_t *_tmp1;
  __pyx_t_5numpy_float32_t *_tmp2;
  __pyx_t_5numpy_float32_t *_tmp3;
  __pyx_t_5numpy_float32_t *_tmp4;
  __pyx_t_5numpy_float32_t *_tmpM_inf;
  __pyx_t_5numpy_float32_t *_tmpK0;
  __pyx_t_5numpy_float32_t *_tmpK1;
  __pyx_t_5numpy_float32_t *_tmpL0;
  __pyx_t_5numpy_float32_t *_tmpL1;
  int (*forecasting)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_sKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_sStatespace *);
  __pyx_t_5numpy_float32_t (*inversion)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_sKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_sStatespace *, __pyx_t_5numpy_float32_t);
  int (*updating)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_sKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_sStatespace *);
  __pyx_t_5numpy_float32_t (*calculate_loglikelihood)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_sKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_sStatespace *, __pyx_t_5numpy_float32_t);
  __pyx_t_5numpy_float32_t (*calculate_scale)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_sKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_sStatespace *);
  int (*prediction)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_sKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_sStatespace *);
  int k_endog;
  int k_states;
  int k_posdef;
  int k_endog2;
  int k_states2;
  int k_posdef2;
  int k_endogstates;
  int k_statesposdef;
  int ldwork;
};


/* "statsmodels/tsa/statespace/_kalman_filter.pxd":222
 * 
 * # Double precision
 * cdef class dKalmanFilter(object):             # <<<<<<<<<<<<<<
 *     # Statespace object
 *     cdef readonly dStatespace model
*/
struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_dKalmanFilter {
  PyObject_HEAD
  struct __pyx_vtabstruct_11statsmodels_3tsa_10statespace_14_kalman_filter_dKalmanFilter *__pyx_vtab;
  struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_dStatespace *model;
  int t;
  __pyx_t_5numpy_float64_t tolerance;
  __pyx_t_5numpy_float64_t tolerance_diffuse;
  int nobs_diffuse;
  int nobs_kendog_diffuse_nonsingular;
  int nobs_kendog_univariate_singular;
  int converged;
  int period_converged;
  int time_invariant;
  int filter_method;
  int inversion_method;
  int stability_method;
  int conserve_memory;
  int filter_timing;
  int loglikelihood_burn;
  __Pyx_memviewslice univariate_filter;
  __Pyx_memviewslice loglikelihood;
  __Pyx_memviewslice scale;
  __Pyx_memviewslice filtered_state;
  __Pyx_memviewslice predicted_state;
  __Pyx_memviewslice forecast;
  __Pyx_memviewslice forecast_error;
  __Pyx_memviewslice standardized_forecast_error;
  __Pyx_memviewslice filtered_state_cov;
  __Pyx_memviewslice predicted_state_cov;
  __Pyx_memviewslice forecast_error_cov;
  __Pyx_memviewslice predicted_diffuse_state_cov;
  __Pyx_memviewslice forecast_error_diffuse_cov;
  __Pyx_memviewslice M;
  __Pyx_memviewslice M_inf;
  __Pyx_memviewslice kalman_gain;
  __Pyx_memviewslice converged_forecast_error_cov;
  __Pyx_memviewslice converged_filtered_state_cov;
  __Pyx_memviewslice converged_predicted_state_cov;
  __Pyx_memviewslice converged_kalman_gain;
  __Pyx_memviewslice converged_M;
  __pyx_t_5numpy_float64_t converged_determinant;
  __Pyx_memviewslice forecast_error_fac;
  __Pyx_memviewslice forecast_error_ipiv;
  __Pyx_memviewslice forecast_error_work;
  __Pyx_memviewslice tmp0;
  __Pyx_memviewslice tmp00;
  __Pyx_memviewslice tmp2;
  __Pyx_memviewslice tmp1;
  __Pyx_memviewslice tmp3;
  __Pyx_memviewslice tmp4;
  __Pyx_memviewslice tmpM_inf;
  __Pyx_memviewslice tmpK0;
  __Pyx_memviewslice tmpK1;
  __Pyx_memviewslice tmpL0;
  __Pyx_memviewslice tmpL1;
  __Pyx_memviewslice CW;
  __Pyx_memviewslice CtmpW;
  __Pyx_memviewslice CMW;
  __Pyx_memviewslice CM;
  __Pyx_memviewslice CprevFiZ;
  __Pyx_memviewslice CtmpM;
  __Pyx_memviewslice CMWZ;
  __pyx_t_5numpy_float64_t determinant;
  __pyx_t_5numpy_float64_t *_input_state;
  __pyx_t_5numpy_float64_t *_input_state_cov;
  __pyx_t_5numpy_float64_t *_input_diffuse_state_cov;
  __pyx_t_5numpy_float64_t *_forecast;
  __pyx_t_5numpy_float64_t *_forecast_error;
  __pyx_t_5numpy_float64_t *_standardized_forecast_error;
  __pyx_t_5numpy_float64_t *_forecast_error_cov;
  __pyx_t_5numpy_float64_t *_filtered_state;
  __pyx_t_5numpy_float64_t *_filtered_state_cov;
  __pyx_t_5numpy_float64_t *_predicted_state;
  __pyx_t_5numpy_float64_t *_predicted_state_cov;
  __pyx_t_5numpy_float64_t *_forecast_error_diffuse_cov;
  __pyx_t_5numpy_float64_t *_predicted_diffuse_state_cov;
  __pyx_t_5numpy_float64_t *_M;
  __pyx_t_5numpy_float64_t *_M_inf;
  __pyx_t_5numpy_float64_t *_kalman_gain;
  __pyx_t_5numpy_float64_t *_loglikelihood;
  __pyx_t_5numpy_float64_t *_scale;
  __pyx_t_5numpy_float64_t *_converged_forecast_error_cov;
  __pyx_t_5numpy_float64_t *_converged_filtered_state_cov;
  __pyx_t_5numpy_float64_t *_converged_predicted_state_cov;
  __pyx_t_5numpy_float64_t *_converged_kalman_gain;
  __pyx_t_5numpy_float64_t *_converged_M;
  __pyx_t_5numpy_float64_t *_forecast_error_fac;
  int *_forecast_error_ipiv;
  __pyx_t_5numpy_float64_t *_forecast_error_work;
  __pyx_t_5numpy_float64_t *_tmp0;
  __pyx_t_5numpy_float64_t *_tmp00;
  __pyx_t_5numpy_float64_t *_tmp1;
  __pyx_t_5numpy_float64_t *_tmp2;
  __pyx_t_5numpy_float64_t *_tmp3;
  __pyx_t_5numpy_float64_t *_tmp4;
  __pyx_t_5numpy_float64_t *_tmpM_inf;
  __pyx_t_5numpy_float64_t *_tmpK0;
  __pyx_t_5numpy_float64_t *_tmpK1;
  __pyx_t_5numpy_float64_t *_tmpL0;
  __pyx_t_5numpy_float64_t *_tmpL1;
  int (*forecasting)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_dKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_dStatespace *);
  __pyx_t_5numpy_float64_t (*inversion)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_dKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_dStatespace *, __pyx_t_5numpy_float64_t);
  int (*updating)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_dKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_dStatespace *);
  __pyx_t_5numpy_float64_t (*calculate_loglikelihood)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_dKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_dStatespace *, __pyx_t_5numpy_float64_t);
  __pyx_t_5numpy_float64_t (*calculate_scale)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_dKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_dStatespace *);
  int (*prediction)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_dKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_dStatespace *);
  int k_endog;
  int k_states;
  int k_posdef;
  int k_endog2;
  int k_states2;
  int k_posdef2;
  int k_endogstates;
  int k_statesposdef;
  int ldwork;
};


/* "statsmodels/tsa/statespace/_kalman_filter.pxd":376
 * 
 * # Single precision complex
 * cdef class cKalmanFilter(object):             # <<<<<<<<<<<<<<
 *     # Statespace object
 *     cdef readonly cStatespace model
*/
struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_cKalmanFilter {
  PyObject_HEAD
  struct __pyx_vtabstruct_11statsmodels_3tsa_10statespace_14_kalman_filter_cKalmanFilter *__pyx_vtab;
  struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_cStatespace *model;
  int t;
  __pyx_t_5numpy_float64_t tolerance;
  __pyx_t_5numpy_float64_t tolerance_diffuse;
  int nobs_diffuse;
  int nobs_kendog_diffuse_nonsingular;
  int nobs_kendog_univariate_singular;
  int converged;
  int period_converged;
  int time_invariant;
  int filter_method;
  int inversion_method;
  int stability_method;
  int conserve_memory;
  int filter_timing;
  int loglikelihood_burn;
  __Pyx_memviewslice univariate_filter;
  __Pyx_memviewslice loglikelihood;
  __Pyx_memviewslice scale;
  __Pyx_memviewslice filtered_state;
  __Pyx_memviewslice predicted_state;
  __Pyx_memviewslice forecast;
  __Pyx_memviewslice forecast_error;
  __Pyx_memviewslice standardized_forecast_error;
  __Pyx_memviewslice filtered_state_cov;
  __Pyx_memviewslice predicted_state_cov;
  __Pyx_memviewslice forecast_error_cov;
  __Pyx_memviewslice predicted_diffuse_state_cov;
  __Pyx_memviewslice forecast_error_diffuse_cov;
  __Pyx_memviewslice M;
  __Pyx_memviewslice M_inf;
  __Pyx_memviewslice kalman_gain;
  __Pyx_memviewslice converged_forecast_error_cov;
  __Pyx_memviewslice converged_filtered_state_cov;
  __Pyx_memviewslice converged_predicted_state_cov;
  __Pyx_memviewslice converged_kalman_gain;
  __Pyx_memviewslice converged_M;
  __pyx_t_float_complex converged_determinant;
  __Pyx_memviewslice forecast_error_fac;
  __Pyx_memviewslice forecast_error_ipiv;
  __Pyx_memviewslice forecast_error_work;
  __Pyx_memviewslice tmp0;
  __Pyx_memviewslice tmp00;
  __Pyx_memviewslice tmp2;
  __Pyx_memviewslice tmp1;
  __Pyx_memviewslice tmp3;
  __Pyx_memviewslice tmp4;
  __Pyx_memviewslice tmpM_inf;
  __Pyx_memviewslice tmpK0;
  __Pyx_memviewslice tmpK1;
  __Pyx_memviewslice tmpL0;
  __Pyx_memviewslice tmpL1;
  __Pyx_memviewslice CW;
  __Pyx_memviewslice CtmpW;
  __Pyx_memviewslice CMW;
  __Pyx_memviewslice CM;
  __Pyx_memviewslice CprevFiZ;
  __Pyx_memviewslice CtmpM;
  __Pyx_memviewslice CMWZ;
  __pyx_t_float_complex determinant;
  __pyx_t_float_complex *_input_state;
  __pyx_t_float_complex *_input_state_cov;
  __pyx_t_float_complex *_input_diffuse_state_cov;
  __pyx_t_float_complex *_forecast;
  __pyx_t_float_complex *_forecast_error;
  __pyx_t_float_complex *_standardized_forecast_error;
  __pyx_t_float_complex *_forecast_error_cov;
  __pyx_t_float_complex *_filtered_state;
  __pyx_t_float_complex *_filtered_state_cov;
  __pyx_t_float_complex *_predicted_state;
  __pyx_t_float_complex *_predicted_state_cov;
  __pyx_t_float_complex *_forecast_error_diffuse_cov;
  __pyx_t_float_complex *_predicted_diffuse_state_cov;
  __pyx_t_float_complex *_M;
  __pyx_t_float_complex *_M_inf;
  __pyx_t_float_complex *_kalman_gain;
  __pyx_t_float_complex *_loglikelihood;
  __pyx_t_float_complex *_scale;
  __pyx_t_float_complex *_converged_forecast_error_cov;
  __pyx_t_float_complex *_converged_filtered_state_cov;
  __pyx_t_float_complex *_converged_predicted_state_cov;
  __pyx_t_float_complex *_converged_kalman_gain;
  __pyx_t_float_complex *_converged_M;
  __pyx_t_float_complex *_forecast_error_fac;
  int *_forecast_error_ipiv;
  __pyx_t_float_complex *_forecast_error_work;
  __pyx_t_float_complex *_tmp0;
  __pyx_t_float_complex *_tmp00;
  __pyx_t_float_complex *_tmp1;
  __pyx_t_float_complex *_tmp2;
  __pyx_t_float_complex *_tmp3;
  __pyx_t_float_complex *_tmp4;
  __pyx_t_float_complex *_tmpM_inf;
  __pyx_t_float_complex *_tmpK0;
  __pyx_t_float_complex *_tmpK1;
  __pyx_t_float_complex *_tmpL0;
  __pyx_t_float_complex *_tmpL1;
  int (*forecasting)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_cKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_cStatespace *);
  __pyx_t_float_complex (*inversion)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_cKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_cStatespace *, __pyx_t_float_complex);
  int (*updating)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_cKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_cStatespace *);
  __pyx_t_float_complex (*calculate_loglikelihood)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_cKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_cStatespace *, __pyx_t_float_complex);
  __pyx_t_float_complex (*calculate_scale)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_cKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_cStatespace *);
  int (*prediction)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_cKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_cStatespace *);
  int k_endog;
  int k_states;
  int k_posdef;
  int k_endog2;
  int k_states2;
  int k_posdef2;
  int k_endogstates;
  int k_statesposdef;
  int ldwork;
};


/* "statsmodels/tsa/statespace/_kalman_filter.pxd":531
 * 
 * # Double precision complex
 * cdef class zKalmanFilter(object):             # <<<<<<<<<<<<<<
 *     # Statespace object
 *     cdef readonly zStatespace model
*/
struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_zKalmanFilter {
  PyObject_HEAD
  struct __pyx_vtabstruct_11statsmodels_3tsa_10statespace_14_kalman_filter_zKalmanFilter *__pyx_vtab;
  struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_zStatespace *model;
  int t;
  __pyx_t_5numpy_float64_t tolerance;
  __pyx_t_5numpy_float64_t tolerance_diffuse;
  int nobs_diffuse;
  int nobs_kendog_diffuse_nonsingular;
  int nobs_kendog_univariate_singular;
  int converged;
  int period_converged;
  int time_invariant;
  int filter_method;
  int inversion_method;
  int stability_method;
  int conserve_memory;
  int filter_timing;
  int loglikelihood_burn;
  __Pyx_memviewslice univariate_filter;
  __Pyx_memviewslice loglikelihood;
  __Pyx_memviewslice scale;
  __Pyx_memviewslice filtered_state;
  __Pyx_memviewslice predicted_state;
  __Pyx_memviewslice forecast;
  __Pyx_memviewslice forecast_error;
  __Pyx_memviewslice standardized_forecast_error;
  __Pyx_memviewslice filtered_state_cov;
  __Pyx_memviewslice predicted_state_cov;
  __Pyx_memviewslice forecast_error_cov;
  __Pyx_memviewslice predicted_diffuse_state_cov;
  __Pyx_memviewslice forecast_error_diffuse_cov;
  __Pyx_memviewslice M;
  __Pyx_memviewslice M_inf;
  __Pyx_memviewslice kalman_gain;
  __Pyx_memviewslice converged_forecast_error_cov;
  __Pyx_memviewslice converged_filtered_state_cov;
  __Pyx_memviewslice converged_predicted_state_cov;
  __Pyx_memviewslice converged_kalman_gain;
  __Pyx_memviewslice converged_M;
  __pyx_t_double_complex converged_determinant;
  __Pyx_memviewslice forecast_error_fac;
  __Pyx_memviewslice forecast_error_ipiv;
  __Pyx_memviewslice forecast_error_work;
  __Pyx_memviewslice tmp0;
  __Pyx_memviewslice tmp00;
  __Pyx_memviewslice tmp2;
  __Pyx_memviewslice tmp1;
  __Pyx_memviewslice tmp3;
  __Pyx_memviewslice tmp4;
  __Pyx_memviewslice tmpM_inf;
  __Pyx_memviewslice tmpK0;
  __Pyx_memviewslice tmpK1;
  __Pyx_memviewslice tmpL0;
  __Pyx_memviewslice tmpL1;
  __Pyx_memviewslice CW;
  __Pyx_memviewslice CtmpW;
  __Pyx_memviewslice CMW;
  __Pyx_memviewslice CM;
  __Pyx_memviewslice CprevFiZ;
  __Pyx_memviewslice CtmpM;
  __Pyx_memviewslice CMWZ;
  __pyx_t_double_complex determinant;
  __pyx_t_double_complex *_input_state;
  __pyx_t_double_complex *_input_state_cov;
  __pyx_t_double_complex *_input_diffuse_state_cov;
  __pyx_t_double_complex *_forecast;
  __pyx_t_double_complex *_forecast_error;
  __pyx_t_double_complex *_standardized_forecast_error;
  __pyx_t_double_complex *_forecast_error_cov;
  __pyx_t_double_complex *_filtered_state;
  __pyx_t_double_complex *_filtered_state_cov;
  __pyx_t_double_complex *_predicted_state;
  __pyx_t_double_complex *_predicted_state_cov;
  __pyx_t_double_complex *_forecast_error_diffuse_cov;
  __pyx_t_double_complex *_predicted_diffuse_state_cov;
  __pyx_t_double_complex *_M;
  __pyx_t_double_complex *_M_inf;
  __pyx_t_double_complex *_kalman_gain;
  __pyx_t_double_complex *_loglikelihood;
  __pyx_t_double_complex *_scale;
  __pyx_t_double_complex *_converged_forecast_error_cov;
  __pyx_t_double_complex *_converged_filtered_state_cov;
  __pyx_t_double_complex *_converged_predicted_state_cov;
  __pyx_t_double_complex *_converged_kalman_gain;
  __pyx_t_double_complex *_converged_M;
  __pyx_t_double_complex *_forecast_error_fac;
  int *_forecast_error_ipiv;
  __pyx_t_double_complex *_forecast_error_work;
  __pyx_t_double_complex *_tmp0;
  __pyx_t_double_complex *_tmp00;
  __pyx_t_double_complex *_tmp1;
  __pyx_t_double_complex *_tmp2;
  __pyx_t_double_complex *_tmp3;
  __pyx_t_double_complex *_tmp4;
  __pyx_t_double_complex *_tmpM_inf;
  __pyx_t_double_complex *_tmpK0;
  __pyx_t_double_complex *_tmpK1;
  __pyx_t_double_complex *_tmpL0;
  __pyx_t_double_complex *_tmpL1;
  int (*forecasting)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_zKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_zStatespace *);
  __pyx_t_double_complex (*inversion)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_zKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_zStatespace *, __pyx_t_double_complex);
  int (*updating)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_zKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_zStatespace *);
  __pyx_t_double_complex (*calculate_loglikelihood)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_zKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_zStatespace *, __pyx_t_double_complex);
  __pyx_t_double_complex (*calculate_scale)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_zKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_zStatespace *);
  int (*prediction)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_zKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_zStatespace *);
  int k_endog;
  int k_states;
  int k_posdef;
  int k_endog2;
  int k_states2;
  int k_posdef2;
  int k_endogstates;
  int k_statesposdef;
  int ldwork;
};


/* "View.MemoryView":110
 * 
 * 
 * @cython.collection_type("sequence")             # <<<<<<<<<<<<<<
 * @cname("__pyx_array")
 * cdef class array:
*/
struct __pyx_array_obj {
  PyObject_HEAD
  struct __pyx_vtabstruct_array *__pyx_vtab;
  char *data;
  Py_ssize_t len;
  char *format;
  int ndim;
  Py_ssize_t *_shape;
  Py_ssize_t *_strides;
  Py_ssize_t itemsize;
  PyObject *mode;
  PyObject *_format;
  void (*callback_free_data)(void *);
  int free_data;
  int dtype_is_object;
};


/* "View.MemoryView":299
 * 
 * 
 * @cname('__pyx_MemviewEnum')             # <<<<<<<<<<<<<<
 * cdef class Enum(object):
 *     cdef object name
*/
struct __pyx_MemviewEnum_obj {
  PyObject_HEAD
  PyObject *name;
};


/* "View.MemoryView":334
 * 
 * 
 * @cname('__pyx_memoryview')             # <<<<<<<<<<<<<<
 * cdef class memoryview:
 * 
*/
struct __pyx_memoryview_obj {
  PyObject_HEAD
  struct __pyx_vtabstruct_memoryview *__pyx_vtab;
  PyObject *obj;
  PyObject *_size;
  void *_unused;
  PyThread_type_lock lock;
  __pyx_atomic_int_type acquisition_count;
  Py_buffer view;
  int flags;
  int dtype_is_object;
  __Pyx_TypeInfo const *typeinfo;
};


/* "View.MemoryView":951
 * 
 * 
 * @cython.collection_type("sequence")             # <<<<<<<<<<<<<<
 * @cname('__pyx_memoryviewslice')
 * cdef class _memoryviewslice(memoryview):
*/
struct __pyx_memoryviewslice_obj {
  struct __pyx_memoryview_obj __pyx_base;
  __Pyx_memviewslice from_slice;
  PyObject *from_object;
  PyObject *(*to_object_func)(char *);
  int (*to_dtype_func)(char *, PyObject *);
};



/* "statsmodels/tsa/statespace/_representation.pxd":13
 * cimport numpy as np
 * 
 * cdef class sStatespace(object):             # <<<<<<<<<<<<<<
 *     # Statespace dimensions
 *     cdef readonly int nobs, k_endog, k_states, k_posdef
*/

struct __pyx_vtabstruct_11statsmodels_3tsa_10statespace_15_representation_sStatespace {
  PyObject *(*seek)(struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_sStatespace *, unsigned int, unsigned int, unsigned int, int __pyx_skip_dispatch, struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11sStatespace_seek *__pyx_optional_args);
  void (*set_dimensions)(struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_sStatespace *, unsigned int, unsigned int, unsigned int);
  void (*select_state_cov)(struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_sStatespace *, unsigned int);
  int (*select_missing)(struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_sStatespace *, unsigned int);
  void (*_select_missing_entire_obs)(struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_sStatespace *, unsigned int);
  void (*_select_missing_partial_obs)(struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_sStatespace *, unsigned int);
  void (*transform)(struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_sStatespace *, unsigned int, unsigned int, unsigned int, unsigned int, struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11sStatespace_transform *__pyx_optional_args);
  void (*transform_diagonalize)(struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_sStatespace *, unsigned int, unsigned int, struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11sStatespace_transform_diagonalize *__pyx_optional_args);
  int (*transform_generalized_collapse)(struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_sStatespace *, unsigned int, unsigned int, struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11sStatespace_transform_generalized_collapse *__pyx_optional_args);
};
static struct __pyx_vtabstruct_11statsmodels_3tsa_10statespace_15_representation_sStatespace *__pyx_vtabptr_11statsmodels_3tsa_10statespace_15_representation_sStatespace;


/* "statsmodels/tsa/statespace/_representation.pxd":90
 *     cdef int transform_generalized_collapse(self, unsigned int t, unsigned int previous_t, unsigned int reset=*) except *
 * 
 * cdef class dStatespace(object):             # <<<<<<<<<<<<<<
 *     # Statespace dimensions
 *     cdef readonly int nobs, k_endog, k_states, k_posdef
*/

struct __pyx_vtabstruct_11statsmodels_3tsa_10statespace_15_representation_dStatespace {
  PyObject *(*seek)(struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_dStatespace *, unsigned int, unsigned int, unsigned int, int __pyx_skip_dispatch, struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11dStatespace_seek *__pyx_optional_args);
  void (*set_dimensions)(struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_dStatespace *, unsigned int, unsigned int, unsigned int);
  void (*select_state_cov)(struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_dStatespace *, unsigned int);
  int (*select_missing)(struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_dStatespace *, unsigned int);
  void (*_select_missing_entire_obs)(struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_dStatespace *, unsigned int);
  void (*_select_missing_partial_obs)(struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_dStatespace *, unsigned int);
  void (*transform)(struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_dStatespace *, unsigned int, unsigned int, unsigned int, unsigned int, struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11dStatespace_transform *__pyx_optional_args);
  void (*transform_diagonalize)(struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_dStatespace *, unsigned int, unsigned int, struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11dStatespace_transform_diagonalize *__pyx_optional_args);
  int (*transform_generalized_collapse)(struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_dStatespace *, unsigned int, unsigned int, struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11dStatespace_transform_generalized_collapse *__pyx_optional_args);
};
static struct __pyx_vtabstruct_11statsmodels_3tsa_10statespace_15_representation_dStatespace *__pyx_vtabptr_11statsmodels_3tsa_10statespace_15_representation_dStatespace;


/* "statsmodels/tsa/statespace/_representation.pxd":167
 *     cdef int transform_generalized_collapse(self, unsigned int t, unsigned int previous_t, unsigned int reset=*) except *
 * 
 * cdef class cStatespace(object):             # <<<<<<<<<<<<<<
 *     # Statespace dimensions
 *     cdef readonly int nobs, k_endog, k_states, k_posdef
*/

struct __pyx_vtabstruct_11statsmodels_3tsa_10statespace_15_representation_cStatespace {
  PyObject *(*seek)(struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_cStatespace *, unsigned int, unsigned int, unsigned int, int __pyx_skip_dispatch, struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11cStatespace_seek *__pyx_optional_args);
  void (*set_dimensions)(struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_cStatespace *, unsigned int, unsigned int, unsigned int);
  void (*select_state_cov)(struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_cStatespace *, unsigned int);
  int (*select_missing)(struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_cStatespace *, unsigned int);
  void (*_select_missing_entire_obs)(struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_cStatespace *, unsigned int);
  void (*_select_missing_partial_obs)(struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_cStatespace *, unsigned int);
  void (*transform)(struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_cStatespace *, unsigned int, unsigned int, unsigned int, unsigned int, struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11cStatespace_transform *__pyx_optional_args);
  void (*transform_diagonalize)(struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_cStatespace *, unsigned int, unsigned int, struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11cStatespace_transform_diagonalize *__pyx_optional_args);
  int (*transform_generalized_collapse)(struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_cStatespace *, unsigned int, unsigned int, struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11cStatespace_transform_generalized_collapse *__pyx_optional_args);
};
static struct __pyx_vtabstruct_11statsmodels_3tsa_10statespace_15_representation_cStatespace *__pyx_vtabptr_11statsmodels_3tsa_10statespace_15_representation_cStatespace;


/* "statsmodels/tsa/statespace/_representation.pxd":244
 *     cdef int transform_generalized_collapse(self, unsigned int t, unsigned int previous_t, unsigned int reset=*) except *
 * 
 * cdef class zStatespace(object):             # <<<<<<<<<<<<<<
 *     # Statespace dimensions
 *     cdef readonly int nobs, k_endog, k_states, k_posdef
*/

struct __pyx_vtabstruct_11statsmodels_3tsa_10statespace_15_representation_zStatespace {
  PyObject *(*seek)(struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_zStatespace *, unsigned int, unsigned int, unsigned int, int __pyx_skip_dispatch, struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11zStatespace_seek *__pyx_optional_args);
  void (*set_dimensions)(struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_zStatespace *, unsigned int, unsigned int, unsigned int);
  void (*select_state_cov)(struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_zStatespace *, unsigned int);
  int (*select_missing)(struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_zStatespace *, unsigned int);
  void (*_select_missing_entire_obs)(struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_zStatespace *, unsigned int);
  void (*_select_missing_partial_obs)(struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_zStatespace *, unsigned int);
  void (*transform)(struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_zStatespace *, unsigned int, unsigned int, unsigned int, unsigned int, struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11zStatespace_transform *__pyx_optional_args);
  void (*transform_diagonalize)(struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_zStatespace *, unsigned int, unsigned int, struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11zStatespace_transform_diagonalize *__pyx_optional_args);
  int (*transform_generalized_collapse)(struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_zStatespace *, unsigned int, unsigned int, struct __pyx_opt_args_11statsmodels_3tsa_10statespace_15_representation_11zStatespace_transform_generalized_collapse *__pyx_optional_args);
};
static struct __pyx_vtabstruct_11statsmodels_3tsa_10statespace_15_representation_zStatespace *__pyx_vtabptr_11statsmodels_3tsa_10statespace_15_representation_zStatespace;


/* "statsmodels/tsa/statespace/_kalman_filter.pxd":67
 * 
 * # Single precision
 * cdef class sKalmanFilter(object):             # <<<<<<<<<<<<<<
 *     # Statespace object
 *     cdef readonly sStatespace model
*/

struct __pyx_vtabstruct_11statsmodels_3tsa_10statespace_14_kalman_filter_sKalmanFilter {
  PyObject *(*allocate_arrays)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_sKalmanFilter *);
  void (*set_dimensions)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_sKalmanFilter *);
  PyObject *(*set_filter_method)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_sKalmanFilter *, int, int __pyx_skip_dispatch, struct __pyx_opt_args_11statsmodels_3tsa_10statespace_14_kalman_filter_13sKalmanFilter_set_filter_method *__pyx_optional_args);
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  void (*initialize_statespace_object_pointers)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_sKalmanFilter *);
  void (*initialize_filter_object_pointers)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_sKalmanFilter *);
  void (*initialize_function_pointers)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_sKalmanFilter *);
  void (*post_convergence)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_sKalmanFilter *);
  void (*numerical_stability)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_sKalmanFilter *);
  int (*check_diffuse)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_sKalmanFilter *);
  void (*check_convergence)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_sKalmanFilter *);
  void (*migrate_storage)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_sKalmanFilter *);
  void (*_reinitialize_pointers)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_sKalmanFilter *);
  void (*_forecasting)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_sKalmanFilter *);
  __pyx_t_5numpy_float32_t (*_inversion)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_sKalmanFilter *);
  void (*_updating)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_sKalmanFilter *);
  __pyx_t_5numpy_float32_t (*_calculate_loglikelihood)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_sKalmanFilter *);
  void (*_prediction)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_sKalmanFilter *);
};
static struct __pyx_vtabstruct_11statsmodels_3tsa_10statespace_14_kalman_filter_sKalmanFilter *__pyx_vtabptr_11statsmodels_3tsa_10statespace_14_kalman_filter_sKalmanFilter;


/* "statsmodels/tsa/statespace/_kalman_filter.pxd":222
 * 
 * # Double precision
 * cdef class dKalmanFilter(object):             # <<<<<<<<<<<<<<
 *     # Statespace object
 *     cdef readonly dStatespace model
*/

struct __pyx_vtabstruct_11statsmodels_3tsa_10statespace_14_kalman_filter_dKalmanFilter {
  PyObject *(*allocate_arrays)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_dKalmanFilter *);
  void (*set_dimensions)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_dKalmanFilter *);
  PyObject *(*set_filter_method)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_dKalmanFilter *, int, int __pyx_skip_dispatch, struct __pyx_opt_args_11statsmodels_3tsa_10statespace_14_kalman_filter_13dKalmanFilter_set_filter_method *__pyx_optional_args);
  PyObject *(*seek)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_dKalmanFilter *, unsigned int, int __pyx_skip_dispatch, struct __pyx_opt_args_11statsmodels_3tsa_10statespace_14_kalman_filter_13dKalmanFilter_seek *__pyx_optional_args);
  void (*initialize_statespace_object_pointers)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_dKalmanFilter *);
  void (*initialize_filter_object_pointers)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_dKalmanFilter *);
  void (*initialize_function_pointers)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_dKalmanFilter *);
  void (*post_convergence)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_dKalmanFilter *);
  void (*numerical_stability)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_dKalmanFilter *);
  int (*check_diffuse)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_dKalmanFilter *);
  void (*check_convergence)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_dKalmanFilter *);
  void (*migrate_storage)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_dKalmanFilter *);
  void (*_reinitialize_pointers)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_dKalmanFilter *);
  void (*_forecasting)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_dKalmanFilter *);
  __pyx_t_5numpy_float64_t (*_inversion)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_dKalmanFilter *);
  void (*_updating)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_dKalmanFilter *);
  __pyx_t_5numpy_float64_t (*_calculate_loglikelihood)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_dKalmanFilter *);
  void (*_prediction)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_dKalmanFilter *);
};
static struct __pyx_vtabstruct_11statsmodels_3tsa_10statespace_14_kalman_filter_dKalmanFilter *__pyx_vtabptr_11statsmodels_3tsa_10statespace_14_kalman_filter_dKalmanFilter;


/* "statsmodels/tsa/statespace/_kalman_filter.pxd":376
 * 
 * # Single precision complex
 * cdef class cKalmanFilter(object):             # <<<<<<<<<<<<<<
 *     # Statespace object
 *     cdef readonly cStatespace model
*/

struct __pyx_vtabstruct_11statsmodels_3tsa_10statespace_14_kalman_filter_cKalmanFilter {
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  void (*set_dimensions)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_cKalmanFilter *);
  PyObject *(*set_filter_method)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_cKalmanFilter *, int, int __pyx_skip_dispatch, struct __pyx_opt_args_11statsmodels_3tsa_10statespace_14_kalman_filter_13cKalmanFilter_set_filter_method *__pyx_optional_args);
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  void (*initialize_statespace_object_pointers)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_cKalmanFilter *);
  void (*initialize_filter_object_pointers)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_cKalmanFilter *);
  void (*initialize_function_pointers)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_cKalmanFilter *);
  void (*post_convergence)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_cKalmanFilter *);
  void (*numerical_stability)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_cKalmanFilter *);
  int (*check_diffuse)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_cKalmanFilter *);
  void (*check_convergence)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_cKalmanFilter *);
  void (*migrate_storage)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_cKalmanFilter *);
  void (*_reinitialize_pointers)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_cKalmanFilter *);
  void (*_forecasting)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_cKalmanFilter *);
  __pyx_t_float_complex (*_inversion)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_cKalmanFilter *);
  void (*_updating)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_cKalmanFilter *);
  __pyx_t_float_complex (*_calculate_loglikelihood)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_cKalmanFilter *);
  void (*_prediction)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_cKalmanFilter *);
};
static struct __pyx_vtabstruct_11statsmodels_3tsa_10statespace_14_kalman_filter_cKalmanFilter *__pyx_vtabptr_11statsmodels_3tsa_10statespace_14_kalman_filter_cKalmanFilter;


/* "statsmodels/tsa/statespace/_kalman_filter.pxd":531
 * 
 * # Double precision complex
 * cdef class zKalmanFilter(object):             # <<<<<<<<<<<<<<
 *     # Statespace object
 *     cdef readonly zStatespace model
*/

struct __pyx_vtabstruct_11statsmodels_3tsa_10statespace_14_kalman_filter_zKalmanFilter {
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  void (*set_dimensions)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_zKalmanFilter *);
  PyObject *(*set_filter_method)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_zKalmanFilter *, int, int __pyx_skip_dispatch, struct __pyx_opt_args_11statsmodels_3tsa_10statespace_14_kalman_filter_13zKalmanFilter_set_filter_method *__pyx_optional_args);
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  void (*initialize_statespace_object_pointers)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_zKalmanFilter *);
  void (*initialize_filter_object_pointers)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_zKalmanFilter *);
  void (*initialize_function_pointers)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_zKalmanFilter *);
  void (*post_convergence)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_zKalmanFilter *);
  void (*numerical_stability)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_zKalmanFilter *);
  int (*check_diffuse)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_zKalmanFilter *);
  void (*check_convergence)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_zKalmanFilter *);
  void (*migrate_storage)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_zKalmanFilter *);
  void (*_reinitialize_pointers)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_zKalmanFilter *);
  void (*_forecasting)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_zKalmanFilter *);
  __pyx_t_double_complex (*_inversion)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_zKalmanFilter *);
  void (*_updating)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_zKalmanFilter *);
  __pyx_t_double_complex (*_calculate_loglikelihood)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_zKalmanFilter *);
  void (*_prediction)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_zKalmanFilter *);
};
static struct __pyx_vtabstruct_11statsmodels_3tsa_10statespace_14_kalman_filter_zKalmanFilter *__pyx_vtabptr_11statsmodels_3tsa_10statespace_14_kalman_filter_zKalmanFilter;


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typedef struct {
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    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 ParseKeywordsImpl) */
#if CYTHON_AVOID_BORROWED_REFS
static int __Pyx_PyDict_NextRef(PyObject *p, PyObject **ppos, PyObject **pkey, PyObject **pvalue);
#else
CYTHON_INLINE
static int __Pyx_PyDict_NextRef(PyObject *p, Py_ssize_t *ppos, PyObject **pkey, PyObject **pvalue);
#endif

/* RaiseDoubleKeywords.proto (used by ParseKeywordsImpl) */
static void __Pyx_RaiseDoubleKeywordsError(const char* func_name, PyObject* kw_name);

/* ParseKeywordsImpl.export */
static int __Pyx_ParseKeywordsTuple(
    PyObject *kwds,
    PyObject * const *kwvalues,
    PyObject ** const argnames[],
    PyObject *kwds2,
    PyObject *values[],
    Py_ssize_t num_pos_args,
    Py_ssize_t num_kwargs,
    const char* function_name,
    int ignore_unknown_kwargs
);
static int __Pyx_ParseKeywordDictToDict(
    PyObject *kwds,
    PyObject ** const argnames[],
    PyObject *kwds2,
    PyObject *values[],
    Py_ssize_t num_pos_args,
    const char* function_name
);
static int __Pyx_ParseKeywordDict(
    PyObject *kwds,
    PyObject ** const argnames[],
    PyObject *values[],
    Py_ssize_t num_pos_args,
    Py_ssize_t num_kwargs,
    const char* function_name,
    int ignore_unknown_kwargs
);

/* CallUnboundCMethod2.proto */
CYTHON_UNUSED
static PyObject* __Pyx__CallUnboundCMethod2(__Pyx_CachedCFunction* cfunc, PyObject* self, PyObject* arg1, PyObject* arg2);
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject *__Pyx_CallUnboundCMethod2(__Pyx_CachedCFunction *cfunc, PyObject *self, PyObject *arg1, PyObject *arg2);
#else
#define __Pyx_CallUnboundCMethod2(cfunc, self, arg1, arg2)  __Pyx__CallUnboundCMethod2(cfunc, self, arg1, arg2)
#endif

/* ParseKeywords.proto */
static CYTHON_INLINE int __Pyx_ParseKeywords(
    PyObject *kwds, PyObject *const *kwvalues, PyObject ** const argnames[],
    PyObject *kwds2, PyObject *values[],
    Py_ssize_t num_pos_args, Py_ssize_t num_kwargs,
    const char* function_name,
    int ignore_unknown_kwargs
);

/* RaiseArgTupleInvalid.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);

/* 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))

/* PyErrExceptionMatches.proto (used by PyObjectGetAttrStrNoError) */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_PyErr_ExceptionMatches(err) __Pyx_PyErr_ExceptionMatchesInState(__pyx_tstate, err)
static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err);
#else
#define __Pyx_PyErr_ExceptionMatches(err)  PyErr_ExceptionMatches(err)
#endif

/* PyThreadStateGet.proto (used by PyErrFetchRestore) */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_PyThreadState_declare  PyThreadState *__pyx_tstate;
#define __Pyx_PyThreadState_assign  __pyx_tstate = __Pyx_PyThreadState_Current;
#if PY_VERSION_HEX >= 0x030C00A6
#define __Pyx_PyErr_Occurred()  (__pyx_tstate->current_exception != NULL)
#define __Pyx_PyErr_CurrentExceptionType()  (__pyx_tstate->current_exception ? (PyObject*) Py_TYPE(__pyx_tstate->current_exception) : (PyObject*) NULL)
#else
#define __Pyx_PyErr_Occurred()  (__pyx_tstate->curexc_type != NULL)
#define __Pyx_PyErr_CurrentExceptionType()  (__pyx_tstate->curexc_type)
#endif
#else
#define __Pyx_PyThreadState_declare
#define __Pyx_PyThreadState_assign
#define __Pyx_PyErr_Occurred()  (PyErr_Occurred() != NULL)
#define __Pyx_PyErr_CurrentExceptionType()  PyErr_Occurred()
#endif

/* PyErrFetchRestore.proto (used by PyObjectGetAttrStrNoError) */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_PyErr_Clear() __Pyx_ErrRestore(NULL, NULL, NULL)
#define __Pyx_ErrRestoreWithState(type, value, tb)  __Pyx_ErrRestoreInState(PyThreadState_GET(), type, value, tb)
#define __Pyx_ErrFetchWithState(type, value, tb)    __Pyx_ErrFetchInState(PyThreadState_GET(), type, value, tb)
#define __Pyx_ErrRestore(type, value, tb)  __Pyx_ErrRestoreInState(__pyx_tstate, type, value, tb)
#define __Pyx_ErrFetch(type, value, tb)    __Pyx_ErrFetchInState(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030C00A6
#define __Pyx_PyErr_SetNone(exc) (Py_INCREF(exc), __Pyx_ErrRestore((exc), NULL, NULL))
#else
#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
#endif
#else
#define __Pyx_PyErr_Clear() PyErr_Clear()
#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
#define __Pyx_ErrRestoreWithState(type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetchWithState(type, value, tb)  PyErr_Fetch(type, value, tb)
#define __Pyx_ErrRestoreInState(tstate, type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetchInState(tstate, type, value, tb)  PyErr_Fetch(type, value, tb)
#define __Pyx_ErrRestore(type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetch(type, value, tb)  PyErr_Fetch(type, value, tb)
#endif

/* PyObjectGetAttrStrNoError.proto (used by GetBuiltinName) */
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStrNoError(PyObject* obj, PyObject* attr_name);

/* GetBuiltinName.proto */
static PyObject *__Pyx_GetBuiltinName(PyObject *name);

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

/* RaiseException.export */
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause);

/* 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

/* RaiseUnexpectedTypeError.proto */
static int __Pyx_RaiseUnexpectedTypeError(const char *expected, PyObject *obj);

/* PyMemoryError_Check.proto */
#define __Pyx_PyExc_MemoryError_Check(obj)  __Pyx_TypeCheck(obj, PyExc_MemoryError)

/* BuildPyUnicode.proto (used by COrdinalToPyUnicode) */
static PyObject* __Pyx_PyUnicode_BuildFromAscii(Py_ssize_t ulength, const char* chars, int clength,
                                                int prepend_sign, char padding_char);

/* COrdinalToPyUnicode.proto (used by CIntToPyUnicode) */
static CYTHON_INLINE int __Pyx_CheckUnicodeValue(int value);
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromOrdinal_Padded(int value, Py_ssize_t width, char padding_char);

/* GCCDiagnostics.proto (used by CIntToPyUnicode) */
#if !defined(__INTEL_COMPILER) && defined(__GNUC__) && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 6))
#define __Pyx_HAS_GCC_DIAGNOSTIC
#endif

/* IncludeStdlibH.proto (used by CIntToPyUnicode) */
#include <stdlib.h>

/* CIntToPyUnicode.proto */
#define __Pyx_PyUnicode_From_int(value, width, padding_char, format_char) (\
    ((format_char) == ('c')) ?\
        __Pyx_uchar___Pyx_PyUnicode_From_int(value, width, padding_char) :\
        __Pyx____Pyx_PyUnicode_From_int(value, width, padding_char, format_char)\
    )
static CYTHON_INLINE PyObject* __Pyx_uchar___Pyx_PyUnicode_From_int(int value, Py_ssize_t width, char padding_char);
static CYTHON_INLINE PyObject* __Pyx____Pyx_PyUnicode_From_int(int value, Py_ssize_t width, char padding_char, char format_char);

/* CIntToPyUnicode.proto */
#define __Pyx_PyUnicode_From_Py_ssize_t(value, width, padding_char, format_char) (\
    ((format_char) == ('c')) ?\
        __Pyx_uchar___Pyx_PyUnicode_From_Py_ssize_t(value, width, padding_char) :\
        __Pyx____Pyx_PyUnicode_From_Py_ssize_t(value, width, padding_char, format_char)\
    )
static CYTHON_INLINE PyObject* __Pyx_uchar___Pyx_PyUnicode_From_Py_ssize_t(Py_ssize_t value, Py_ssize_t width, char padding_char);
static CYTHON_INLINE PyObject* __Pyx____Pyx_PyUnicode_From_Py_ssize_t(Py_ssize_t value, Py_ssize_t width, char padding_char, char format_char);

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

/* PyObjectFormatSimple.proto */
#if CYTHON_COMPILING_IN_PYPY
    #define __Pyx_PyObject_FormatSimple(s, f) (\
        likely(PyUnicode_CheckExact(s)) ? (Py_INCREF(s), s) :\
        PyObject_Format(s, f))
#elif CYTHON_USE_TYPE_SLOTS
    #define __Pyx_PyObject_FormatSimple(s, f) (\
        likely(PyUnicode_CheckExact(s)) ? (Py_INCREF(s), s) :\
        likely(PyLong_CheckExact(s)) ? PyLong_Type.tp_repr(s) :\
        likely(PyFloat_CheckExact(s)) ? PyFloat_Type.tp_repr(s) :\
        PyObject_Format(s, f))
#else
    #define __Pyx_PyObject_FormatSimple(s, f) (\
        likely(PyUnicode_CheckExact(s)) ? (Py_INCREF(s), s) :\
        PyObject_Format(s, f))
#endif

CYTHON_UNUSED static int __pyx_array_getbuffer(PyObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /*proto*/
static PyObject *__pyx_array_get_memview(struct __pyx_array_obj *); /*proto*/
/* GetAttr.proto */
static CYTHON_INLINE PyObject *__Pyx_GetAttr(PyObject *, PyObject *);

/* 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

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

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

/* DivInt[Py_ssize_t].proto */
static CYTHON_INLINE Py_ssize_t __Pyx_div_Py_ssize_t(Py_ssize_t, Py_ssize_t, int b_is_constant);

/* UnaryNegOverflows.proto */
#define __Pyx_UNARY_NEG_WOULD_OVERFLOW(x)\
        (((x) < 0) & ((unsigned long)(x) == 0-(unsigned long)(x)))

/* GetAttr3.proto */
static CYTHON_INLINE PyObject *__Pyx_GetAttr3(PyObject *, PyObject *, PyObject *);

/* PyDictVersioning.proto (used by GetModuleGlobalName) */
#if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS
#define __PYX_DICT_VERSION_INIT  ((PY_UINT64_T) -1)
#define __PYX_GET_DICT_VERSION(dict)  (((PyDictObject*)(dict))->ma_version_tag)
#define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var)\
    (version_var) = __PYX_GET_DICT_VERSION(dict);\
    (cache_var) = (value);
#define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP) {\
    static PY_UINT64_T __pyx_dict_version = 0;\
    static PyObject *__pyx_dict_cached_value = NULL;\
    if (likely(__PYX_GET_DICT_VERSION(DICT) == __pyx_dict_version)) {\
        (VAR) = __Pyx_XNewRef(__pyx_dict_cached_value);\
    } else {\
        (VAR) = __pyx_dict_cached_value = (LOOKUP);\
        __pyx_dict_version = __PYX_GET_DICT_VERSION(DICT);\
    }\
}
static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj);
static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj);
static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version);
#else
#define __PYX_GET_DICT_VERSION(dict)  (0)
#define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var)
#define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP)  (VAR) = (LOOKUP);
#endif

/* GetModuleGlobalName.proto */
#if CYTHON_USE_DICT_VERSIONS
#define __Pyx_GetModuleGlobalName(var, name)  do {\
    static PY_UINT64_T __pyx_dict_version = 0;\
    static PyObject *__pyx_dict_cached_value = NULL;\
    (var) = (likely(__pyx_dict_version == __PYX_GET_DICT_VERSION(__pyx_mstate_global->__pyx_d))) ?\
        (likely(__pyx_dict_cached_value) ? __Pyx_NewRef(__pyx_dict_cached_value) : __Pyx_GetBuiltinName(name)) :\
        __Pyx__GetModuleGlobalName(name, &__pyx_dict_version, &__pyx_dict_cached_value);\
} while(0)
#define __Pyx_GetModuleGlobalNameUncached(var, name)  do {\
    PY_UINT64_T __pyx_dict_version;\
    PyObject *__pyx_dict_cached_value;\
    (var) = __Pyx__GetModuleGlobalName(name, &__pyx_dict_version, &__pyx_dict_cached_value);\
} while(0)
static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value);
#else
#define __Pyx_GetModuleGlobalName(var, name)  (var) = __Pyx__GetModuleGlobalName(name)
#define __Pyx_GetModuleGlobalNameUncached(var, name)  (var) = __Pyx__GetModuleGlobalName(name)
static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name);
#endif

/* AssertionsEnabled.proto */
#if CYTHON_COMPILING_IN_LIMITED_API  ||  PY_VERSION_HEX >= 0x030C0000
  static int __pyx_assertions_enabled_flag;
  #define __pyx_assertions_enabled() (__pyx_assertions_enabled_flag)
  #if __clang__ || __GNUC__
  __attribute__((no_sanitize("thread")))
  #endif
  static int __Pyx_init_assertions_enabled(void) {
    PyObject *builtins, *debug, *debug_str;
    int flag;
    builtins = PyEval_GetBuiltins();
    if (!builtins) goto bad;
    debug_str = PyUnicode_FromStringAndSize("__debug__", 9);
    if (!debug_str) goto bad;
    debug = PyObject_GetItem(builtins, debug_str);
    Py_DECREF(debug_str);
    if (!debug) goto bad;
    flag = PyObject_IsTrue(debug);
    Py_DECREF(debug);
    if (flag == -1) goto bad;
    __pyx_assertions_enabled_flag = flag;
    return 0;
  bad:
    __pyx_assertions_enabled_flag = 1;
    return -1;
  }
#else
  #define __Pyx_init_assertions_enabled()  (0)
  #define __pyx_assertions_enabled()  (!Py_OptimizeFlag)
#endif

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

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

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

/* RaiseNoneIterError.proto */
static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void);

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

/* GetTopmostException.proto (used by SaveResetException) */
#if CYTHON_USE_EXC_INFO_STACK && CYTHON_FAST_THREAD_STATE
static _PyErr_StackItem * __Pyx_PyErr_GetTopmostException(PyThreadState *tstate);
#endif

/* SaveResetException.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_ExceptionSave(type, value, tb)  __Pyx__ExceptionSave(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#define __Pyx_ExceptionReset(type, value, tb)  __Pyx__ExceptionReset(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
#else
#define __Pyx_ExceptionSave(type, value, tb)   PyErr_GetExcInfo(type, value, tb)
#define __Pyx_ExceptionReset(type, value, tb)  PyErr_SetExcInfo(type, value, tb)
#endif

/* GetException.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_GetException(type, value, tb)  __Pyx__GetException(__pyx_tstate, type, value, tb)
static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#else
static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb);
#endif

/* SwapException.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_ExceptionSwap(type, value, tb)  __Pyx__ExceptionSwap(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionSwap(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#else
static CYTHON_INLINE void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb);
#endif

/* HasAttr.proto (used by ImportImpl) */
#if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
#define __Pyx_HasAttr(o, n)  PyObject_HasAttrWithError(o, n)
#else
static CYTHON_INLINE int __Pyx_HasAttr(PyObject *, PyObject *);
#endif

/* 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);

/* 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);
#else
#define __Pyx_TypeCheck(obj, type) PyObject_TypeCheck(obj, (PyTypeObject *)type)
#define __Pyx_TypeCheck2(obj, type1, type2) (PyObject_TypeCheck(obj, (PyTypeObject *)type1) || PyObject_TypeCheck(obj, (PyTypeObject *)type2))
#define __Pyx_PyErr_GivenExceptionMatches(err, type) PyErr_GivenExceptionMatches(err, type)
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *type1, PyObject *type2) {
    return PyErr_GivenExceptionMatches(err, type1) || PyErr_GivenExceptionMatches(err, type2);
}
#endif
#define __Pyx_PyErr_ExceptionMatches2(err1, err2)  __Pyx_PyErr_GivenExceptionMatches2(__Pyx_PyErr_CurrentExceptionType(), err1, err2)
#define __Pyx_PyException_Check(obj) __Pyx_TypeCheck(obj, PyExc_Exception)
#ifdef PyExceptionInstance_Check
  #define __Pyx_PyBaseException_Check(obj) PyExceptionInstance_Check(obj)
#else
  #define __Pyx_PyBaseException_Check(obj) __Pyx_TypeCheck(obj, PyExc_BaseException)
#endif

CYTHON_UNUSED static int __pyx_memoryview_getbuffer(PyObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /*proto*/
/* 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

/* PySequenceMultiply.proto */
#define __Pyx_PySequence_Multiply_Left(mul, seq)  __Pyx_PySequence_Multiply(seq, mul)
#if !CYTHON_USE_TYPE_SLOTS
#define  __Pyx_PySequence_Multiply PySequence_Repeat
#else
static CYTHON_INLINE PyObject* __Pyx_PySequence_Multiply(PyObject *seq, Py_ssize_t mul);
#endif

/* PyObjectFormatAndDecref.proto */
static CYTHON_INLINE PyObject* __Pyx_PyObject_FormatSimpleAndDecref(PyObject* s, PyObject* f);
static CYTHON_INLINE PyObject* __Pyx_PyObject_FormatAndDecref(PyObject* s, PyObject* f);

/* PyObjectFormat.proto */
#if CYTHON_USE_UNICODE_WRITER
static PyObject* __Pyx_PyObject_Format(PyObject* s, PyObject* f);
#else
#define __Pyx_PyObject_Format(s, f) PyObject_Format(s, f)
#endif

/* 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);

/* RaiseUnboundLocalError.proto */
static void __Pyx_RaiseUnboundLocalError(const char *varname);

/* PyIndexError_Check.proto */
#define __Pyx_PyExc_IndexError_Check(obj)  __Pyx_TypeCheck(obj, PyExc_IndexError)

/* DivInt[long].proto */
static CYTHON_INLINE long __Pyx_div_long(long, long, int b_is_constant);

/* PyImportError_Check.proto */
#define __Pyx_PyExc_ImportError_Check(obj)  __Pyx_TypeCheck(obj, PyExc_ImportError)

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

/* CallTypeTraverse.proto */
#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

/* FunctionExport.proto */
static int __Pyx_ExportFunction(PyObject *api_dict, const char *name, void (*f)(void), const char *sig);

/* GetApiDict.proto */
static PyObject *__Pyx_ApiExport_GetApiDict(void);

/* 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 */
static CYTHON_INLINE int __Pyx_fix_up_extension_type_from_spec(PyType_Spec *spec, PyTypeObject *type);

/* 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);

/* SetVTable.proto */
static int __Pyx_SetVtable(PyTypeObject* typeptr , void* vtable);

/* GetVTable.proto (used by MergeVTables) */
static void* __Pyx_GetVtable(PyTypeObject *type);

/* MergeVTables.proto */
static int __Pyx_MergeVtables(PyTypeObject *type);

/* 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);

/* TypeImport.proto */
#ifndef __PYX_HAVE_RT_ImportType_proto_3_2_2
#define __PYX_HAVE_RT_ImportType_proto_3_2_2
#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_2(s) alignof(s)
#else
#define __PYX_GET_STRUCT_ALIGNMENT_3_2_2(s) sizeof(void*)
#endif
enum __Pyx_ImportType_CheckSize_3_2_2 {
   __Pyx_ImportType_CheckSize_Error_3_2_2 = 0,
   __Pyx_ImportType_CheckSize_Warn_3_2_2 = 1,
   __Pyx_ImportType_CheckSize_Ignore_3_2_2 = 2
};
static PyTypeObject *__Pyx_ImportType_3_2_2(PyObject* module, const char *module_name, const char *class_name, size_t size, size_t alignment, enum __Pyx_ImportType_CheckSize_3_2_2 check_size);
#endif

/* VoidPtrImport.proto */
static int __Pyx_ImportVoidPtr_3_2_2(PyObject *module, const char *name, void **p, const char *sig);

/* FunctionImport.proto */
static int __Pyx_ImportFunction_3_2_2(PyObject *module, const char *funcname, void (**f)(void), const char *sig);

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

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

/* CodeObjectCache.proto (used by AddTraceback) */
#if CYTHON_COMPILING_IN_LIMITED_API
typedef PyObject __Pyx_CachedCodeObjectType;
#else
typedef PyCodeObject __Pyx_CachedCodeObjectType;
#endif
typedef struct {
    __Pyx_CachedCodeObjectType* code_object;
    int code_line;
} __Pyx_CodeObjectCacheEntry;
struct __Pyx_CodeObjectCache {
    int count;
    int max_count;
    __Pyx_CodeObjectCacheEntry* entries;
  #if CYTHON_COMPILING_IN_CPYTHON_FREETHREADING
    __pyx_atomic_int_type accessor_count;
  #endif
};
static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line);
static __Pyx_CachedCodeObjectType *__pyx_find_code_object(int code_line);
static void __pyx_insert_code_object(int code_line, __Pyx_CachedCodeObjectType* code_object);

/* AddTraceback.proto */
static void __Pyx_AddTraceback(const char *funcname, int c_line,
                               int py_line, const char *filename);

/* RealImag.proto */
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    #define __Pyx_CREAL(z) ((z).real())
    #define __Pyx_CIMAG(z) ((z).imag())
  #else
    #define __Pyx_CREAL(z) (__real__(z))
    #define __Pyx_CIMAG(z) (__imag__(z))
  #endif
#else
    #define __Pyx_CREAL(z) ((z).real)
    #define __Pyx_CIMAG(z) ((z).imag)
#endif
#if defined(__cplusplus) && CYTHON_CCOMPLEX\
        && (defined(_WIN32) || defined(__clang__) || (defined(__GNUC__) && (__GNUC__ >= 5 || __GNUC__ == 4 && __GNUC_MINOR__ >= 4 )) || __cplusplus >= 201103)
    #define __Pyx_SET_CREAL(z,x) ((z).real(x))
    #define __Pyx_SET_CIMAG(z,y) ((z).imag(y))
#else
    #define __Pyx_SET_CREAL(z,x) __Pyx_CREAL(z) = (x)
    #define __Pyx_SET_CIMAG(z,y) __Pyx_CIMAG(z) = (y)
#endif

/* Arithmetic.proto */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
    #define __Pyx_c_eq_float(a, b)   ((a)==(b))
    #define __Pyx_c_sum_float(a, b)  ((a)+(b))
    #define __Pyx_c_diff_float(a, b) ((a)-(b))
    #define __Pyx_c_prod_float(a, b) ((a)*(b))
    #define __Pyx_c_quot_float(a, b) ((a)/(b))
    #define __Pyx_c_neg_float(a)     (-(a))
  #ifdef __cplusplus
    #define __Pyx_c_is_zero_float(z) ((z)==(float)0)
    #define __Pyx_c_conj_float(z)    (::std::conj(z))
    #if 1
        #define __Pyx_c_abs_float(z)     (::std::abs(z))
        #define __Pyx_c_pow_float(a, b)  (::std::pow(a, b))
    #endif
  #else
    #define __Pyx_c_is_zero_float(z) ((z)==0)
    #define __Pyx_c_conj_float(z)    (conjf(z))
    #if 1
        #define __Pyx_c_abs_float(z)     (cabsf(z))
        #define __Pyx_c_pow_float(a, b)  (cpowf(a, b))
    #endif
 #endif
#else
    static CYTHON_INLINE int __Pyx_c_eq_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sum_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_diff_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prod_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_neg_float(__pyx_t_float_complex);
    static CYTHON_INLINE int __Pyx_c_is_zero_float(__pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conj_float(__pyx_t_float_complex);
    #if 1
        static CYTHON_INLINE float __Pyx_c_abs_float(__pyx_t_float_complex);
        static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_pow_float(__pyx_t_float_complex, __pyx_t_float_complex);
    #endif
#endif

/* Arithmetic.proto */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
    #define __Pyx_c_eq_double(a, b)   ((a)==(b))
    #define __Pyx_c_sum_double(a, b)  ((a)+(b))
    #define __Pyx_c_diff_double(a, b) ((a)-(b))
    #define __Pyx_c_prod_double(a, b) ((a)*(b))
    #define __Pyx_c_quot_double(a, b) ((a)/(b))
    #define __Pyx_c_neg_double(a)     (-(a))
  #ifdef __cplusplus
    #define __Pyx_c_is_zero_double(z) ((z)==(double)0)
    #define __Pyx_c_conj_double(z)    (::std::conj(z))
    #if 1
        #define __Pyx_c_abs_double(z)     (::std::abs(z))
        #define __Pyx_c_pow_double(a, b)  (::std::pow(a, b))
    #endif
  #else
    #define __Pyx_c_is_zero_double(z) ((z)==0)
    #define __Pyx_c_conj_double(z)    (conj(z))
    #if 1
        #define __Pyx_c_abs_double(z)     (cabs(z))
        #define __Pyx_c_pow_double(a, b)  (cpow(a, b))
    #endif
 #endif
#else
    static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex);
    static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex);
    #if 1
        static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex);
        static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex, __pyx_t_double_complex);
    #endif
#endif

/* FromPy.proto */
static __pyx_t_float_complex __Pyx_PyComplex_As___pyx_t_float_complex(PyObject*);

/* FromPy.proto */
static __pyx_t_double_complex __Pyx_PyComplex_As___pyx_t_double_complex(PyObject*);

/* Arithmetic.proto */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
    #define __Pyx_c_eq_long__double(a, b)   ((a)==(b))
    #define __Pyx_c_sum_long__double(a, b)  ((a)+(b))
    #define __Pyx_c_diff_long__double(a, b) ((a)-(b))
    #define __Pyx_c_prod_long__double(a, b) ((a)*(b))
    #define __Pyx_c_quot_long__double(a, b) ((a)/(b))
    #define __Pyx_c_neg_long__double(a)     (-(a))
  #ifdef __cplusplus
    #define __Pyx_c_is_zero_long__double(z) ((z)==(long double)0)
    #define __Pyx_c_conj_long__double(z)    (::std::conj(z))
    #if 1
        #define __Pyx_c_abs_long__double(z)     (::std::abs(z))
        #define __Pyx_c_pow_long__double(a, b)  (::std::pow(a, b))
    #endif
  #else
    #define __Pyx_c_is_zero_long__double(z) ((z)==0)
    #define __Pyx_c_conj_long__double(z)    (conjl(z))
    #if 1
        #define __Pyx_c_abs_long__double(z)     (cabsl(z))
        #define __Pyx_c_pow_long__double(a, b)  (cpowl(a, b))
    #endif
 #endif
#else
    static CYTHON_INLINE int __Pyx_c_eq_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex);
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_sum_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex);
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_diff_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex);
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_prod_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex);
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_quot_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex);
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_neg_long__double(__pyx_t_long_double_complex);
    static CYTHON_INLINE int __Pyx_c_is_zero_long__double(__pyx_t_long_double_complex);
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_conj_long__double(__pyx_t_long_double_complex);
    #if 1
        static CYTHON_INLINE long double __Pyx_c_abs_long__double(__pyx_t_long_double_complex);
        static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_pow_long__double(__pyx_t_long_double_complex, __pyx_t_long_double_complex);
    #endif
#endif

/* BufferStructDeclare.proto */
typedef struct {
  Py_ssize_t shape, strides, suboffsets;
} __Pyx_Buf_DimInfo;
typedef struct {
  size_t refcount;
  Py_buffer pybuffer;
} __Pyx_Buffer;
typedef struct {
  __Pyx_Buffer *rcbuffer;
  char *data;
  __Pyx_Buf_DimInfo diminfo[8];
} __Pyx_LocalBuf_ND;

/* MemviewRefcount.proto */
static CYTHON_INLINE int __pyx_add_acquisition_count_locked(
    __pyx_atomic_int_type *acquisition_count, PyThread_type_lock lock);
static CYTHON_INLINE int __pyx_sub_acquisition_count_locked(
    __pyx_atomic_int_type *acquisition_count, PyThread_type_lock lock);
#define __pyx_get_slice_count_pointer(memview) (&memview->acquisition_count)
#define __PYX_INC_MEMVIEW(slice, have_gil) __Pyx_INC_MEMVIEW(slice, have_gil, __LINE__)
#define __PYX_XCLEAR_MEMVIEW(slice, have_gil) __Pyx_XCLEAR_MEMVIEW(slice, have_gil, __LINE__)
static CYTHON_INLINE void __Pyx_INC_MEMVIEW(__Pyx_memviewslice *, int, int);
static CYTHON_INLINE void __Pyx_XCLEAR_MEMVIEW(__Pyx_memviewslice *, int, int);

/* MemviewSliceIsContig.proto */
static int __pyx_memviewslice_is_contig(const __Pyx_memviewslice mvs, char order, int ndim);

/* OverlappingSlices.proto */
static int __pyx_slices_overlap(__Pyx_memviewslice *slice1,
                                __Pyx_memviewslice *slice2,
                                int ndim, size_t itemsize);

/* MemviewSliceInit.proto */
static int __Pyx_init_memviewslice(
                struct __pyx_memoryview_obj *memview,
                int ndim,
                __Pyx_memviewslice *memviewslice,
                int memview_is_new_reference);

/* PyObjectVectorCallKwBuilder.proto (used by CIntToPy) */
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

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyLong_From_int(int value);

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

/* MemviewSliceCopy.proto */
static __Pyx_memviewslice
__pyx_memoryview_copy_new_contig(const __Pyx_memviewslice *from_mvs,
                                 const char *mode, int ndim,
                                 size_t sizeof_dtype, int contig_flag,
                                 int dtype_is_object);

/* PyObjectCall2Args.proto (used by PyObjectCallMethod1) */
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call2Args(PyObject* function, PyObject* arg1, PyObject* arg2);

/* PyObjectCallMethod1.proto (used by UpdateUnpickledDict) */
static PyObject* __Pyx_PyObject_CallMethod1(PyObject* obj, PyObject* method_name, PyObject* arg);

/* UpdateUnpickledDict.proto */
static int __Pyx_UpdateUnpickledDict(PyObject *obj, PyObject *state, Py_ssize_t index);

/* CheckUnpickleChecksum.proto */
static CYTHON_INLINE int __Pyx_CheckUnpickleChecksum(long checksum, long checksum1, long checksum2, long checksum3, const char *members);

/* CIntFromPy.proto */
static CYTHON_INLINE long __Pyx_PyLong_As_long(PyObject *);

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

/* CIntFromPy.proto */
static CYTHON_INLINE char __Pyx_PyLong_As_char(PyObject *);

/* FormatTypeName.proto */
#if CYTHON_COMPILING_IN_LIMITED_API
typedef PyObject *__Pyx_TypeName;
#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
#else
static __Pyx_TypeName __Pyx_PyType_GetFullyQualifiedName(PyTypeObject* tp);
#endif
#else  // !LIMITED_API
typedef const char *__Pyx_TypeName;
#define __Pyx_FMT_TYPENAME "%.200s"
#define __Pyx_PyType_GetFullyQualifiedName(tp) ((tp)->tp_name)
#define __Pyx_DECREF_TypeName(obj)
#endif

/* GetRuntimeVersion.proto */
#if __PYX_LIMITED_VERSION_HEX < 0x030b0000
static unsigned long __Pyx_cached_runtime_version = 0;
static void __Pyx_init_runtime_version(void);
#else
#define __Pyx_init_runtime_version()
#endif
static unsigned long __Pyx_get_runtime_version(void);

/* AddModuleRef.proto */
#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

/* 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 */
#if CYTHON_PEP489_MULTI_PHASE_INIT && CYTHON_USE_MODULE_STATE
static PyObject *__Pyx_State_FindModule(void*);
static int __Pyx_State_AddModule(PyObject* module, void*);
static int __Pyx_State_RemoveModule(void*);
#elif CYTHON_USE_MODULE_STATE
#define __Pyx_State_FindModule PyState_FindModule
#define __Pyx_State_AddModule PyState_AddModule
#define __Pyx_State_RemoveModule PyState_RemoveModule
#endif

/* #### Code section: module_declarations ### */
/* CythonABIVersion.proto */
#if CYTHON_COMPILING_IN_LIMITED_API
    #if CYTHON_METH_FASTCALL
        #define __PYX_FASTCALL_ABI_SUFFIX  "_fastcall"
    #else
        #define __PYX_FASTCALL_ABI_SUFFIX
    #endif
    #define __PYX_LIMITED_ABI_SUFFIX "limited" __PYX_FASTCALL_ABI_SUFFIX __PYX_AM_SEND_ABI_SUFFIX
#else
    #define __PYX_LIMITED_ABI_SUFFIX
#endif
#if __PYX_HAS_PY_AM_SEND == 1
    #define __PYX_AM_SEND_ABI_SUFFIX
#elif __PYX_HAS_PY_AM_SEND == 2
    #define __PYX_AM_SEND_ABI_SUFFIX "amsendbackport"
#else
    #define __PYX_AM_SEND_ABI_SUFFIX "noamsend"
#endif
#ifndef __PYX_MONITORING_ABI_SUFFIX
    #define __PYX_MONITORING_ABI_SUFFIX
#endif
#if CYTHON_USE_TP_FINALIZE
    #define __PYX_TP_FINALIZE_ABI_SUFFIX
#else
    #define __PYX_TP_FINALIZE_ABI_SUFFIX "nofinalize"
#endif
#if CYTHON_USE_FREELISTS || !defined(__Pyx_AsyncGen_USED)
    #define __PYX_FREELISTS_ABI_SUFFIX
#else
    #define __PYX_FREELISTS_ABI_SUFFIX "nofreelists"
#endif
#define CYTHON_ABI  __PYX_ABI_VERSION __PYX_LIMITED_ABI_SUFFIX __PYX_MONITORING_ABI_SUFFIX __PYX_TP_FINALIZE_ABI_SUFFIX __PYX_FREELISTS_ABI_SUFFIX __PYX_AM_SEND_ABI_SUFFIX
#define __PYX_ABI_MODULE_NAME "_cython_" CYTHON_ABI
#define __PYX_TYPE_MODULE_PREFIX __PYX_ABI_MODULE_NAME "."

static PyObject *__pyx_array_get_memview(struct __pyx_array_obj *__pyx_v_self); /* proto*/
static char *__pyx_memoryview_get_item_pointer(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index); /* proto*/
static PyObject *__pyx_memoryview_is_slice(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_obj); /* proto*/
static PyObject *__pyx_memoryview_setitem_slice_assignment(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_dst, PyObject *__pyx_v_src); /* proto*/
static PyObject *__pyx_memoryview_setitem_slice_assign_scalar(struct __pyx_memoryview_obj *__pyx_v_self, struct __pyx_memoryview_obj *__pyx_v_dst, PyObject *__pyx_v_value); /* proto*/
static PyObject *__pyx_memoryview_setitem_indexed(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index, PyObject *__pyx_v_value); /* proto*/
static PyObject *__pyx_memoryview_convert_item_to_object(struct __pyx_memoryview_obj *__pyx_v_self, char *__pyx_v_itemp); /* proto*/
static PyObject *__pyx_memoryview_assign_item_from_object(struct __pyx_memoryview_obj *__pyx_v_self, char *__pyx_v_itemp, PyObject *__pyx_v_value); /* proto*/
static PyObject *__pyx_memoryview__get_base(struct __pyx_memoryview_obj *__pyx_v_self); /* proto*/
static PyObject *__pyx_memoryviewslice_convert_item_to_object(struct __pyx_memoryviewslice_obj *__pyx_v_self, char *__pyx_v_itemp); /* proto*/
static PyObject *__pyx_memoryviewslice_assign_item_from_object(struct __pyx_memoryviewslice_obj *__pyx_v_self, char *__pyx_v_itemp, PyObject *__pyx_v_value); /* proto*/
static PyObject *__pyx_memoryviewslice__get_base(struct __pyx_memoryviewslice_obj *__pyx_v_self); /* proto*/
static CYTHON_INLINE 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.stdio" */

/* Module declarations from "__builtin__" */

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

/* Module declarations from "cpython" */

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

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

/* Module declarations from "numpy" */

/* Module declarations from "numpy" */

/* Module declarations from "statsmodels.tsa.statespace._representation" */

/* Module declarations from "statsmodels.tsa.statespace._kalman_filter" */
static int *__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_FILTER_CONVENTIONAL = 0;
#define __pyx_v_11statsmodels_3tsa_10statespace_14_kalman_filter_FILTER_CONVENTIONAL (*__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_FILTER_CONVENTIONAL)
static int *__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_FILTER_EXACT_INITIAL = 0;
#define __pyx_v_11statsmodels_3tsa_10statespace_14_kalman_filter_FILTER_EXACT_INITIAL (*__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_FILTER_EXACT_INITIAL)
static int *__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_FILTER_AUGMENTED = 0;
#define __pyx_v_11statsmodels_3tsa_10statespace_14_kalman_filter_FILTER_AUGMENTED (*__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_FILTER_AUGMENTED)
static int *__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_FILTER_SQUARE_ROOT = 0;
#define __pyx_v_11statsmodels_3tsa_10statespace_14_kalman_filter_FILTER_SQUARE_ROOT (*__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_FILTER_SQUARE_ROOT)
static int *__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_FILTER_UNIVARIATE = 0;
#define __pyx_v_11statsmodels_3tsa_10statespace_14_kalman_filter_FILTER_UNIVARIATE (*__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_FILTER_UNIVARIATE)
static int *__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_FILTER_COLLAPSED = 0;
#define __pyx_v_11statsmodels_3tsa_10statespace_14_kalman_filter_FILTER_COLLAPSED (*__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_FILTER_COLLAPSED)
static int *__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_FILTER_EXTENDED = 0;
#define __pyx_v_11statsmodels_3tsa_10statespace_14_kalman_filter_FILTER_EXTENDED (*__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_FILTER_EXTENDED)
static int *__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_FILTER_UNSCENTED = 0;
#define __pyx_v_11statsmodels_3tsa_10statespace_14_kalman_filter_FILTER_UNSCENTED (*__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_FILTER_UNSCENTED)
static int *__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_FILTER_CONCENTRATED = 0;
#define __pyx_v_11statsmodels_3tsa_10statespace_14_kalman_filter_FILTER_CONCENTRATED (*__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_FILTER_CONCENTRATED)
static int *__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_FILTER_CHANDRASEKHAR = 0;
#define __pyx_v_11statsmodels_3tsa_10statespace_14_kalman_filter_FILTER_CHANDRASEKHAR (*__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_FILTER_CHANDRASEKHAR)
static int *__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_INVERT_UNIVARIATE = 0;
#define __pyx_v_11statsmodels_3tsa_10statespace_14_kalman_filter_INVERT_UNIVARIATE (*__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_INVERT_UNIVARIATE)
static int *__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_SOLVE_LU = 0;
#define __pyx_v_11statsmodels_3tsa_10statespace_14_kalman_filter_SOLVE_LU (*__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_SOLVE_LU)
static int *__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_INVERT_LU = 0;
#define __pyx_v_11statsmodels_3tsa_10statespace_14_kalman_filter_INVERT_LU (*__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_INVERT_LU)
static int *__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_SOLVE_CHOLESKY = 0;
#define __pyx_v_11statsmodels_3tsa_10statespace_14_kalman_filter_SOLVE_CHOLESKY (*__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_SOLVE_CHOLESKY)
static int *__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_INVERT_CHOLESKY = 0;
#define __pyx_v_11statsmodels_3tsa_10statespace_14_kalman_filter_INVERT_CHOLESKY (*__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_INVERT_CHOLESKY)
static int *__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_STABILITY_FORCE_SYMMETRY = 0;
#define __pyx_v_11statsmodels_3tsa_10statespace_14_kalman_filter_STABILITY_FORCE_SYMMETRY (*__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_STABILITY_FORCE_SYMMETRY)
static int *__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_STORE_ALL = 0;
#define __pyx_v_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_STORE_ALL (*__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_STORE_ALL)
static int *__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_NO_FORECAST_MEAN = 0;
#define __pyx_v_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_NO_FORECAST_MEAN (*__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_NO_FORECAST_MEAN)
static int *__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_NO_FORECAST_COV = 0;
#define __pyx_v_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_NO_FORECAST_COV (*__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_NO_FORECAST_COV)
static int *__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_NO_FORECAST = 0;
#define __pyx_v_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_NO_FORECAST (*__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_NO_FORECAST)
static int *__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_NO_PREDICTED_MEAN = 0;
#define __pyx_v_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_NO_PREDICTED_MEAN (*__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_NO_PREDICTED_MEAN)
static int *__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_NO_PREDICTED_COV = 0;
#define __pyx_v_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_NO_PREDICTED_COV (*__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_NO_PREDICTED_COV)
static int *__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_NO_PREDICTED = 0;
#define __pyx_v_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_NO_PREDICTED (*__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_NO_PREDICTED)
static int *__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_NO_FILTERED_MEAN = 0;
#define __pyx_v_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_NO_FILTERED_MEAN (*__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_NO_FILTERED_MEAN)
static int *__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_NO_FILTERED_COV = 0;
#define __pyx_v_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_NO_FILTERED_COV (*__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_NO_FILTERED_COV)
static int *__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_NO_FILTERED = 0;
#define __pyx_v_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_NO_FILTERED (*__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_NO_FILTERED)
static int *__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_NO_LIKELIHOOD = 0;
#define __pyx_v_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_NO_LIKELIHOOD (*__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_NO_LIKELIHOOD)
static int *__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_NO_GAIN = 0;
#define __pyx_v_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_NO_GAIN (*__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_NO_GAIN)
static int *__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_NO_SMOOTHING = 0;
#define __pyx_v_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_NO_SMOOTHING (*__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_NO_SMOOTHING)
static int *__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_NO_STD_FORECAST = 0;
#define __pyx_v_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_NO_STD_FORECAST (*__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_NO_STD_FORECAST)
static int *__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_CONSERVE = 0;
#define __pyx_v_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_CONSERVE (*__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_CONSERVE)
static int *__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_TIMING_INIT_FILTERED = 0;
#define __pyx_v_11statsmodels_3tsa_10statespace_14_kalman_filter_TIMING_INIT_FILTERED (*__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_TIMING_INIT_FILTERED)
static int *__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_TIMING_INIT_PREDICTED = 0;
#define __pyx_v_11statsmodels_3tsa_10statespace_14_kalman_filter_TIMING_INIT_PREDICTED (*__pyx_vp_11statsmodels_3tsa_10statespace_14_kalman_filter_TIMING_INIT_PREDICTED)

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

/* Module declarations from "statsmodels.src.math" */
static CYTHON_INLINE __pyx_t_double_complex __pyx_f_11statsmodels_3src_4math_zlog(__pyx_t_double_complex); /*proto*/

/* Module declarations from "scipy.linalg.cython_blas" */
static void (*__pyx_f_5scipy_6linalg_11cython_blas_caxpy)(int *, __pyx_t_float_complex *, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_ccopy)(int *, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_cgemm)(char *, char *, int *, int *, int *, __pyx_t_float_complex *, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, __pyx_t_float_complex *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_cgemv)(char *, int *, int *, __pyx_t_float_complex *, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, __pyx_t_float_complex *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_cgeru)(int *, int *, __pyx_t_float_complex *, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_cscal)(int *, __pyx_t_float_complex *, __pyx_t_float_complex *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_daxpy)(int *, __pyx_t_5scipy_6linalg_11cython_blas_d *, __pyx_t_5scipy_6linalg_11cython_blas_d *, int *, __pyx_t_5scipy_6linalg_11cython_blas_d *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_dcopy)(int *, __pyx_t_5scipy_6linalg_11cython_blas_d *, int *, __pyx_t_5scipy_6linalg_11cython_blas_d *, int *); /*proto*/
static __pyx_t_5scipy_6linalg_11cython_blas_d (*__pyx_f_5scipy_6linalg_11cython_blas_ddot)(int *, __pyx_t_5scipy_6linalg_11cython_blas_d *, int *, __pyx_t_5scipy_6linalg_11cython_blas_d *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_dgemm)(char *, char *, int *, int *, int *, __pyx_t_5scipy_6linalg_11cython_blas_d *, __pyx_t_5scipy_6linalg_11cython_blas_d *, int *, __pyx_t_5scipy_6linalg_11cython_blas_d *, int *, __pyx_t_5scipy_6linalg_11cython_blas_d *, __pyx_t_5scipy_6linalg_11cython_blas_d *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_dgemv)(char *, int *, int *, __pyx_t_5scipy_6linalg_11cython_blas_d *, __pyx_t_5scipy_6linalg_11cython_blas_d *, int *, __pyx_t_5scipy_6linalg_11cython_blas_d *, int *, __pyx_t_5scipy_6linalg_11cython_blas_d *, __pyx_t_5scipy_6linalg_11cython_blas_d *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_dger)(int *, int *, __pyx_t_5scipy_6linalg_11cython_blas_d *, __pyx_t_5scipy_6linalg_11cython_blas_d *, int *, __pyx_t_5scipy_6linalg_11cython_blas_d *, int *, __pyx_t_5scipy_6linalg_11cython_blas_d *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_dscal)(int *, __pyx_t_5scipy_6linalg_11cython_blas_d *, __pyx_t_5scipy_6linalg_11cython_blas_d *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_saxpy)(int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_scopy)(int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *); /*proto*/
static __pyx_t_5scipy_6linalg_11cython_blas_s (*__pyx_f_5scipy_6linalg_11cython_blas_sdot)(int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_sgemm)(char *, char *, int *, int *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_sgemv)(char *, int *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_sger)(int *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_sscal)(int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_zaxpy)(int *, __pyx_t_double_complex *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_zcopy)(int *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_zgemm)(char *, char *, int *, int *, int *, __pyx_t_double_complex *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, __pyx_t_double_complex *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_zgemv)(char *, int *, int *, __pyx_t_double_complex *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, __pyx_t_double_complex *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_zgeru)(int *, int *, __pyx_t_double_complex *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_zscal)(int *, __pyx_t_double_complex *, __pyx_t_double_complex *, int *); /*proto*/

/* Module declarations from "scipy.linalg.cython_lapack" */

/* Module declarations from "statsmodels.tsa.statespace._filters._univariate" */
static void (*__pyx_f_11statsmodels_3tsa_10statespace_8_filters_11_univariate_sforecast_error)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_sKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_sStatespace *, int); /*proto*/
static __pyx_t_5numpy_float32_t (*__pyx_f_11statsmodels_3tsa_10statespace_8_filters_11_univariate_sforecast_error_cov)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_sKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_sStatespace *, int); /*proto*/
static void (*__pyx_f_11statsmodels_3tsa_10statespace_8_filters_11_univariate_stemp_arrays)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_sKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_sStatespace *, int, __pyx_t_5numpy_float32_t); /*proto*/
static void (*__pyx_f_11statsmodels_3tsa_10statespace_8_filters_11_univariate_spredicted_state)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_sKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_sStatespace *); /*proto*/
static void (*__pyx_f_11statsmodels_3tsa_10statespace_8_filters_11_univariate_spredicted_state_cov)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_sKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_sStatespace *); /*proto*/
static void (*__pyx_f_11statsmodels_3tsa_10statespace_8_filters_11_univariate_dforecast_error)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_dKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_dStatespace *, int); /*proto*/
static __pyx_t_5numpy_float64_t (*__pyx_f_11statsmodels_3tsa_10statespace_8_filters_11_univariate_dforecast_error_cov)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_dKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_dStatespace *, int); /*proto*/
static void (*__pyx_f_11statsmodels_3tsa_10statespace_8_filters_11_univariate_dtemp_arrays)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_dKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_dStatespace *, int, __pyx_t_5numpy_float64_t); /*proto*/
static void (*__pyx_f_11statsmodels_3tsa_10statespace_8_filters_11_univariate_dpredicted_state)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_dKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_dStatespace *); /*proto*/
static void (*__pyx_f_11statsmodels_3tsa_10statespace_8_filters_11_univariate_dpredicted_state_cov)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_dKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_dStatespace *); /*proto*/
static void (*__pyx_f_11statsmodels_3tsa_10statespace_8_filters_11_univariate_cforecast_error)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_cKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_cStatespace *, int); /*proto*/
static __pyx_t_float_complex (*__pyx_f_11statsmodels_3tsa_10statespace_8_filters_11_univariate_cforecast_error_cov)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_cKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_cStatespace *, int); /*proto*/
static void (*__pyx_f_11statsmodels_3tsa_10statespace_8_filters_11_univariate_ctemp_arrays)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_cKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_cStatespace *, int, __pyx_t_float_complex); /*proto*/
static void (*__pyx_f_11statsmodels_3tsa_10statespace_8_filters_11_univariate_cpredicted_state)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_cKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_cStatespace *); /*proto*/
static void (*__pyx_f_11statsmodels_3tsa_10statespace_8_filters_11_univariate_cpredicted_state_cov)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_cKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_cStatespace *); /*proto*/
static void (*__pyx_f_11statsmodels_3tsa_10statespace_8_filters_11_univariate_zforecast_error)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_zKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_zStatespace *, int); /*proto*/
static __pyx_t_double_complex (*__pyx_f_11statsmodels_3tsa_10statespace_8_filters_11_univariate_zforecast_error_cov)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_zKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_zStatespace *, int); /*proto*/
static void (*__pyx_f_11statsmodels_3tsa_10statespace_8_filters_11_univariate_ztemp_arrays)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_zKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_zStatespace *, int, __pyx_t_double_complex); /*proto*/
static void (*__pyx_f_11statsmodels_3tsa_10statespace_8_filters_11_univariate_zpredicted_state)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_zKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_zStatespace *); /*proto*/
static void (*__pyx_f_11statsmodels_3tsa_10statespace_8_filters_11_univariate_zpredicted_state_cov)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_zKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_zStatespace *); /*proto*/

/* Module declarations from "statsmodels.tsa.statespace._filters._univariate_diffuse" */
static PyObject *__pyx_collections_abc_Sequence = 0;
static PyObject *generic = 0;
static PyObject *strided = 0;
static PyObject *indirect = 0;
static PyObject *contiguous = 0;
static PyObject *indirect_contiguous = 0;
static int __pyx_memoryview_thread_locks_used;
static PyThread_type_lock __pyx_memoryview_thread_locks[8];
static __pyx_t_5numpy_float32_t __pyx_f_11statsmodels_3tsa_10statespace_8_filters_19_univariate_diffuse_sforecast_error_diffuse_cov(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_sKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_sStatespace *, int); /*proto*/
static void __pyx_f_11statsmodels_3tsa_10statespace_8_filters_19_univariate_diffuse_spredicted_diffuse_state_cov(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_sKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_sStatespace *); /*proto*/
static __pyx_t_5numpy_float64_t __pyx_f_11statsmodels_3tsa_10statespace_8_filters_19_univariate_diffuse_dforecast_error_diffuse_cov(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_dKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_dStatespace *, int); /*proto*/
static void __pyx_f_11statsmodels_3tsa_10statespace_8_filters_19_univariate_diffuse_dpredicted_diffuse_state_cov(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_dKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_dStatespace *); /*proto*/
static __pyx_t_float_complex __pyx_f_11statsmodels_3tsa_10statespace_8_filters_19_univariate_diffuse_cforecast_error_diffuse_cov(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_cKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_cStatespace *, int); /*proto*/
static void __pyx_f_11statsmodels_3tsa_10statespace_8_filters_19_univariate_diffuse_cpredicted_diffuse_state_cov(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_cKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_cStatespace *); /*proto*/
static __pyx_t_double_complex __pyx_f_11statsmodels_3tsa_10statespace_8_filters_19_univariate_diffuse_zforecast_error_diffuse_cov(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_zKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_zStatespace *, int); /*proto*/
static void __pyx_f_11statsmodels_3tsa_10statespace_8_filters_19_univariate_diffuse_zpredicted_diffuse_state_cov(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_zKalmanFilter *, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_zStatespace *); /*proto*/
static int __pyx_array_allocate_buffer(struct __pyx_array_obj *); /*proto*/
static struct __pyx_array_obj *__pyx_array_new(PyObject *, Py_ssize_t, char *, char const *, char *); /*proto*/
static PyObject *__pyx_memoryview_new(PyObject *, int, int, __Pyx_TypeInfo const *); /*proto*/
static CYTHON_INLINE int __pyx_memoryview_check(PyObject *); /*proto*/
static PyObject *_unellipsify(PyObject *, int); /*proto*/
static int assert_direct_dimensions(Py_ssize_t *, int); /*proto*/
static struct __pyx_memoryview_obj *__pyx_memview_slice(struct __pyx_memoryview_obj *, PyObject *); /*proto*/
static int __pyx_memoryview_slice_memviewslice(__Pyx_memviewslice *, Py_ssize_t, Py_ssize_t, Py_ssize_t, int, int, int *, Py_ssize_t, Py_ssize_t, Py_ssize_t, int, int, int, int); /*proto*/
static char *__pyx_pybuffer_index(Py_buffer *, char *, Py_ssize_t, Py_ssize_t); /*proto*/
static int __pyx_memslice_transpose(__Pyx_memviewslice *); /*proto*/
static PyObject *__pyx_memoryview_fromslice(__Pyx_memviewslice, int, PyObject *(*)(char *), int (*)(char *, PyObject *), int); /*proto*/
static __Pyx_memviewslice *__pyx_memoryview_get_slice_from_memoryview(struct __pyx_memoryview_obj *, __Pyx_memviewslice *); /*proto*/
static void __pyx_memoryview_slice_copy(struct __pyx_memoryview_obj *, __Pyx_memviewslice *); /*proto*/
static PyObject *__pyx_memoryview_copy_object(struct __pyx_memoryview_obj *); /*proto*/
static PyObject *__pyx_memoryview_copy_object_from_slice(struct __pyx_memoryview_obj *, __Pyx_memviewslice *); /*proto*/
static Py_ssize_t abs_py_ssize_t(Py_ssize_t); /*proto*/
static char __pyx_get_best_slice_order(__Pyx_memviewslice *, int); /*proto*/
static void _copy_strided_to_strided(char *, Py_ssize_t *, char *, Py_ssize_t *, Py_ssize_t *, Py_ssize_t *, int, size_t); /*proto*/
static void copy_strided_to_strided(__Pyx_memviewslice *, __Pyx_memviewslice *, int, size_t); /*proto*/
static Py_ssize_t __pyx_memoryview_slice_get_size(__Pyx_memviewslice *, int); /*proto*/
static Py_ssize_t __pyx_fill_contig_strides_array(Py_ssize_t *, Py_ssize_t *, Py_ssize_t, int, char); /*proto*/
static void *__pyx_memoryview_copy_data_to_temp(__Pyx_memviewslice *, __Pyx_memviewslice *, char, int); /*proto*/
static int __pyx_memoryview_err_extents(int, Py_ssize_t, Py_ssize_t); /*proto*/
static int __pyx_memoryview_err_dim(PyObject *, PyObject *, int); /*proto*/
static int __pyx_memoryview_err(PyObject *, PyObject *); /*proto*/
static int __pyx_memoryview_err_no_memory(void); /*proto*/
static int __pyx_memoryview_copy_contents(__Pyx_memviewslice, __Pyx_memviewslice, int, int, int); /*proto*/
static void __pyx_memoryview_broadcast_leading(__Pyx_memviewslice *, int, int); /*proto*/
static void __pyx_memoryview_refcount_copying(__Pyx_memviewslice *, int, int, int); /*proto*/
static void __pyx_memoryview_refcount_objects_in_slice_with_gil(char *, Py_ssize_t *, Py_ssize_t *, int, int); /*proto*/
static void __pyx_memoryview_refcount_objects_in_slice(char *, Py_ssize_t *, Py_ssize_t *, int, int); /*proto*/
static void __pyx_memoryview_slice_assign_scalar(__Pyx_memviewslice *, int, size_t, void *, int); /*proto*/
static void __pyx_memoryview__slice_assign_scalar(char *, Py_ssize_t *, Py_ssize_t *, int, size_t, void *); /*proto*/
static PyObject *__pyx_unpickle_Enum__set_state(struct __pyx_MemviewEnum_obj *, PyObject *); /*proto*/
/* #### Code section: typeinfo ### */
/* #### Code section: before_global_var ### */
#define __Pyx_MODULE_NAME "statsmodels.tsa.statespace._filters._univariate_diffuse"
extern int __pyx_module_is_main_statsmodels__tsa__statespace___filters___univariate_diffuse;
int __pyx_module_is_main_statsmodels__tsa__statespace___filters___univariate_diffuse = 0;

/* Implementation of "statsmodels.tsa.statespace._filters._univariate_diffuse" */
/* #### Code section: global_var ### */
static PyObject *__pyx_builtin___import__;
static PyObject *__pyx_builtin_enumerate;
static PyObject *__pyx_builtin_Ellipsis;
static PyObject *__pyx_builtin_id;
/* #### Code section: string_decls ### */
static const char __pyx_k_c[] = "c";
static const char __pyx_k_name[] = "name";
static const char __pyx_k_fortran[] = "fortran";
static const char __pyx_k_State_Space_Models_Author_Chad[] = "\nState Space Models\n\nAuthor: Chad Fulton  \nLicense: Simplified-BSD\n";
/* #### Code section: decls ### */
static int __pyx_array___pyx_pf_15View_dot_MemoryView_5array___cinit__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_shape, Py_ssize_t __pyx_v_itemsize, PyObject *__pyx_v_format, PyObject *__pyx_v_mode, int __pyx_v_allocate_buffer); /* proto */
static int __pyx_array___pyx_pf_15View_dot_MemoryView_5array_2__getbuffer__(struct __pyx_array_obj *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */
static void __pyx_array___pyx_pf_15View_dot_MemoryView_5array_4__dealloc__(struct __pyx_array_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_5array_7memview___get__(struct __pyx_array_obj *__pyx_v_self); /* proto */
static Py_ssize_t __pyx_array___pyx_pf_15View_dot_MemoryView_5array_6__len__(struct __pyx_array_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_array___pyx_pf_15View_dot_MemoryView_5array_8__getattr__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_attr); /* proto */
static PyObject *__pyx_array___pyx_pf_15View_dot_MemoryView_5array_10__getitem__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_item); /* proto */
static int __pyx_array___pyx_pf_15View_dot_MemoryView_5array_12__setitem__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_item, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf___pyx_array___reduce_cython__(CYTHON_UNUSED struct __pyx_array_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_array_2__setstate_cython__(CYTHON_UNUSED struct __pyx_array_obj *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_MemviewEnum___pyx_pf_15View_dot_MemoryView_4Enum___init__(struct __pyx_MemviewEnum_obj *__pyx_v_self, PyObject *__pyx_v_name); /* proto */
static PyObject *__pyx_MemviewEnum___pyx_pf_15View_dot_MemoryView_4Enum_2__repr__(struct __pyx_MemviewEnum_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_MemviewEnum___reduce_cython__(struct __pyx_MemviewEnum_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_MemviewEnum_2__setstate_cython__(struct __pyx_MemviewEnum_obj *__pyx_v_self, PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview___cinit__(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_obj, int __pyx_v_flags, int __pyx_v_dtype_is_object); /* proto */
static void __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_2__dealloc__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_4__getitem__(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index); /* proto */
static int __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_6__setitem__(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index, PyObject *__pyx_v_value); /* proto */
static int __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_8__getbuffer__(struct __pyx_memoryview_obj *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_1T___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_4base___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_5shape___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_7strides___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_10suboffsets___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_4ndim___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_8itemsize___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_6nbytes___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_4size___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static Py_ssize_t __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_10__len__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_12__repr__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_14__str__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
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static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_18is_f_contig(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_20copy(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
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static PyObject *__pyx_pf___pyx_memoryviewslice___reduce_cython__(CYTHON_UNUSED struct __pyx_memoryviewslice_obj *__pyx_v_self); /* proto */
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#define __pyx_kp_u_Cannot_index_with_type __pyx_string_tab[6]
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#define __pyx_kp_u_Dimension_d_is_not_direct __pyx_string_tab[8]
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#define __pyx_kp_u_Invalid_shape_in_axis __pyx_string_tab[13]
#define __pyx_kp_u_MemoryView_of __pyx_string_tab[14]
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#define __pyx_n_u_c __pyx_string_tab[55]
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#define __pyx_n_u_cline_in_traceback __pyx_string_tab[58]
#define __pyx_n_u_count __pyx_string_tab[59]
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#define __pyx_n_u_encode __pyx_string_tab[62]
#define __pyx_n_u_enumerate __pyx_string_tab[63]
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#define __pyx_n_u_id __pyx_string_tab[69]
#define __pyx_n_u_import __pyx_string_tab[70]
#define __pyx_n_u_index __pyx_string_tab[71]
#define __pyx_n_u_inf __pyx_string_tab[72]
#define __pyx_n_u_items __pyx_string_tab[73]
#define __pyx_n_u_itemsize __pyx_string_tab[74]
#define __pyx_n_u_main __pyx_string_tab[75]
#define __pyx_n_u_memview __pyx_string_tab[76]
#define __pyx_n_u_mode __pyx_string_tab[77]
#define __pyx_n_u_module __pyx_string_tab[78]
#define __pyx_n_u_name __pyx_string_tab[79]
#define __pyx_n_u_name_2 __pyx_string_tab[80]
#define __pyx_n_u_ndim __pyx_string_tab[81]
#define __pyx_n_u_new __pyx_string_tab[82]
#define __pyx_n_u_np __pyx_string_tab[83]
#define __pyx_n_u_numpy __pyx_string_tab[84]
#define __pyx_n_u_obj __pyx_string_tab[85]
#define __pyx_n_u_pack __pyx_string_tab[86]
#define __pyx_n_u_pop __pyx_string_tab[87]
#define __pyx_n_u_pyx_capi __pyx_string_tab[88]
#define __pyx_n_u_pyx_checksum __pyx_string_tab[89]
#define __pyx_n_u_pyx_state __pyx_string_tab[90]
#define __pyx_n_u_pyx_type __pyx_string_tab[91]
#define __pyx_n_u_pyx_unpickle_Enum __pyx_string_tab[92]
#define __pyx_n_u_pyx_vtable __pyx_string_tab[93]
#define __pyx_n_u_qualname __pyx_string_tab[94]
#define __pyx_n_u_reduce __pyx_string_tab[95]
#define __pyx_n_u_reduce_cython __pyx_string_tab[96]
#define __pyx_n_u_reduce_ex __pyx_string_tab[97]
#define __pyx_n_u_register __pyx_string_tab[98]
#define __pyx_n_u_set_name __pyx_string_tab[99]
#define __pyx_n_u_setdefault __pyx_string_tab[100]
#define __pyx_n_u_setstate __pyx_string_tab[101]
#define __pyx_n_u_setstate_cython __pyx_string_tab[102]
#define __pyx_n_u_shape __pyx_string_tab[103]
#define __pyx_n_u_size __pyx_string_tab[104]
#define __pyx_n_u_start __pyx_string_tab[105]
#define __pyx_n_u_step __pyx_string_tab[106]
#define __pyx_n_u_stop __pyx_string_tab[107]
#define __pyx_n_u_struct __pyx_string_tab[108]
#define __pyx_n_u_test __pyx_string_tab[109]
#define __pyx_n_u_unpack __pyx_string_tab[110]
#define __pyx_n_u_update __pyx_string_tab[111]
#define __pyx_n_u_values __pyx_string_tab[112]
#define __pyx_n_u_x __pyx_string_tab[113]
#define __pyx_kp_b_int_FILTER_AUGMENTED_FILTER_CHAN __pyx_string_tab[114]
#define __pyx_kp_b_pyx_t_5numpy_float32_t_struct __pyx_string_tab[115]
#define __pyx_kp_b_pyx_t_5numpy_float32_t_struct_2 __pyx_string_tab[116]
#define __pyx_kp_b_pyx_t_5scipy_6linalg_11cython __pyx_string_tab[117]
#define __pyx_n_b_O __pyx_string_tab[118]
#define __pyx_int_0 __pyx_number_tab[0]
#define __pyx_int_neg_1 __pyx_number_tab[1]
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 * 
 *     if isinstance(memview, _memoryviewslice):
*/
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 *     cdef bint have_start, have_stop, have_step
 * 
 *     for dim, index in enumerate(indices):             # <<<<<<<<<<<<<<
 *         if PyIndex_Check(index):
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*/
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 *             new_ndim += 1
 * 
 *     if isinstance(memview, _memoryviewslice):             # <<<<<<<<<<<<<<
 *         return memoryview_fromslice(dst, new_ndim,
 *                                     memviewsliceobj.to_object_func,
*/
  __pyx_t_1 = __Pyx_TypeCheck(((PyObject *)__pyx_v_memview), __pyx_mstate_global->__pyx_memoryviewslice_type); 
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    /* "View.MemoryView":780
 * 
 *     if isinstance(memview, _memoryviewslice):
 *         return memoryview_fromslice(dst, new_ndim,             # <<<<<<<<<<<<<<
 *                                     memviewsliceobj.to_object_func,
 *                                     memviewsliceobj.to_dtype_func,
*/
    __Pyx_XDECREF((PyObject *)__pyx_r);

    /* "View.MemoryView":781
 *     if isinstance(memview, _memoryviewslice):
 *         return memoryview_fromslice(dst, new_ndim,
 *                                     memviewsliceobj.to_object_func,             # <<<<<<<<<<<<<<
 *                                     memviewsliceobj.to_dtype_func,
 *                                     memview.dtype_is_object)
*/
    if (unlikely(!__pyx_v_memviewsliceobj)) { __Pyx_RaiseUnboundLocalError("memviewsliceobj"); __PYX_ERR(1, 781, __pyx_L1_error) }

    /* "View.MemoryView":782
 *         return memoryview_fromslice(dst, new_ndim,
 *                                     memviewsliceobj.to_object_func,
 *                                     memviewsliceobj.to_dtype_func,             # <<<<<<<<<<<<<<
 *                                     memview.dtype_is_object)
 *     else:
*/
    if (unlikely(!__pyx_v_memviewsliceobj)) { __Pyx_RaiseUnboundLocalError("memviewsliceobj"); __PYX_ERR(1, 782, __pyx_L1_error) }

    /* "View.MemoryView":780
 * 
 *     if isinstance(memview, _memoryviewslice):
 *         return memoryview_fromslice(dst, new_ndim,             # <<<<<<<<<<<<<<
 *                                     memviewsliceobj.to_object_func,
 *                                     memviewsliceobj.to_dtype_func,
*/
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    __pyx_t_2 = 0;
    goto __pyx_L0;

    /* "View.MemoryView":779
 *             new_ndim += 1
 * 
 *     if isinstance(memview, _memoryviewslice):             # <<<<<<<<<<<<<<
 *         return memoryview_fromslice(dst, new_ndim,
 *                                     memviewsliceobj.to_object_func,
*/
  }

  /* "View.MemoryView":785
 *                                     memview.dtype_is_object)
 *     else:
 *         return memoryview_fromslice(dst, new_ndim, NULL, NULL,             # <<<<<<<<<<<<<<
 *                                     memview.dtype_is_object)
 * 
*/
  /*else*/ {
    __Pyx_XDECREF((PyObject *)__pyx_r);

    /* "View.MemoryView":786
 *     else:
 *         return memoryview_fromslice(dst, new_ndim, NULL, NULL,
 *                                     memview.dtype_is_object)             # <<<<<<<<<<<<<<
 * 
 * 
*/
    __pyx_t_2 = __pyx_memoryview_fromslice(__pyx_v_dst, __pyx_v_new_ndim, NULL, NULL, __pyx_v_memview->dtype_is_object); if (unlikely(!__pyx_t_2)) __PYX_ERR(1, 785, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);

    /* "View.MemoryView":785
 *                                     memview.dtype_is_object)
 *     else:
 *         return memoryview_fromslice(dst, new_ndim, NULL, NULL,             # <<<<<<<<<<<<<<
 *                                     memview.dtype_is_object)
 * 
*/
    if (!(likely(((__pyx_t_2) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_2, __pyx_mstate_global->__pyx_memoryview_type))))) __PYX_ERR(1, 785, __pyx_L1_error)
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  }

  /* "View.MemoryView":711
 * 
 * 
 * @cname('__pyx_memview_slice')             # <<<<<<<<<<<<<<
 * cdef memoryview memview_slice(memoryview memview, object indices):
 *     cdef int new_ndim = 0, suboffset_dim = -1, dim
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_8);
  __Pyx_AddTraceback("View.MemoryView.memview_slice", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = 0;
  __pyx_L0:;
  __Pyx_XDECREF((PyObject *)__pyx_v_memviewsliceobj);
  __Pyx_XDECREF(__pyx_v_index);
  __Pyx_XGIVEREF((PyObject *)__pyx_r);
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}

/* "View.MemoryView":793
 * 
 * 
 * @cname('__pyx_memoryview_slice_memviewslice')             # <<<<<<<<<<<<<<
 * cdef int slice_memviewslice(
 *         __Pyx_memviewslice *dst,
*/

static int __pyx_memoryview_slice_memviewslice(__Pyx_memviewslice *__pyx_v_dst, Py_ssize_t __pyx_v_shape, Py_ssize_t __pyx_v_stride, Py_ssize_t __pyx_v_suboffset, int __pyx_v_dim, int __pyx_v_new_ndim, int *__pyx_v_suboffset_dim, Py_ssize_t __pyx_v_start, Py_ssize_t __pyx_v_stop, Py_ssize_t __pyx_v_step, int __pyx_v_have_start, int __pyx_v_have_stop, int __pyx_v_have_step, int __pyx_v_is_slice) {
  Py_ssize_t __pyx_v_new_shape;
  int __pyx_v_negative_step;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyGILState_STATE __pyx_gilstate_save;

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 *     cdef bint negative_step
 * 
 *     if not is_slice:             # <<<<<<<<<<<<<<
 * 
 *         if start < 0:
*/
  __pyx_t_1 = (!__pyx_v_is_slice);
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    /* "View.MemoryView":816
 *     if not is_slice:
 * 
 *         if start < 0:             # <<<<<<<<<<<<<<
 *             start += shape
 *         if not 0 <= start < shape:
*/
    __pyx_t_1 = (__pyx_v_start < 0);
    if (__pyx_t_1) {

      /* "View.MemoryView":817
 * 
 *         if start < 0:
 *             start += shape             # <<<<<<<<<<<<<<
 *         if not 0 <= start < shape:
 *             _err_dim(PyExc_IndexError, "Index out of bounds (axis %d)", dim)
*/
      __pyx_v_start = (__pyx_v_start + __pyx_v_shape);

      /* "View.MemoryView":816
 *     if not is_slice:
 * 
 *         if start < 0:             # <<<<<<<<<<<<<<
 *             start += shape
 *         if not 0 <= start < shape:
*/
    }

    /* "View.MemoryView":818
 *         if start < 0:
 *             start += shape
 *         if not 0 <= start < shape:             # <<<<<<<<<<<<<<
 *             _err_dim(PyExc_IndexError, "Index out of bounds (axis %d)", dim)
 *     else:
*/
    __pyx_t_1 = (0 <= __pyx_v_start);
    if (__pyx_t_1) {
      __pyx_t_1 = (__pyx_v_start < __pyx_v_shape);
    }
    __pyx_t_2 = (!__pyx_t_1);
    if (__pyx_t_2) {

      /* "View.MemoryView":819
 *             start += shape
 *         if not 0 <= start < shape:
 *             _err_dim(PyExc_IndexError, "Index out of bounds (axis %d)", dim)             # <<<<<<<<<<<<<<
 *     else:
 * 
*/
      __pyx_t_3 = __pyx_memoryview_err_dim(PyExc_IndexError, __pyx_mstate_global->__pyx_kp_u_Index_out_of_bounds_axis_d, __pyx_v_dim); if (unlikely(__pyx_t_3 == ((int)-1))) __PYX_ERR(1, 819, __pyx_L1_error)

      /* "View.MemoryView":818
 *         if start < 0:
 *             start += shape
 *         if not 0 <= start < shape:             # <<<<<<<<<<<<<<
 *             _err_dim(PyExc_IndexError, "Index out of bounds (axis %d)", dim)
 *     else:
*/
    }

    /* "View.MemoryView":814
 *     cdef bint negative_step
 * 
 *     if not is_slice:             # <<<<<<<<<<<<<<
 * 
 *         if start < 0:
*/
    goto __pyx_L3;
  }

  /* "View.MemoryView":822
 *     else:
 * 
 *         if have_step:             # <<<<<<<<<<<<<<
 *             negative_step = step < 0
 *             if step == 0:
*/
  /*else*/ {
    __pyx_t_2 = (__pyx_v_have_step != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":823
 * 
 *         if have_step:
 *             negative_step = step < 0             # <<<<<<<<<<<<<<
 *             if step == 0:
 *                 _err_dim(PyExc_ValueError, "Step may not be zero (axis %d)", dim)
*/
      __pyx_v_negative_step = (__pyx_v_step < 0);

      /* "View.MemoryView":824
 *         if have_step:
 *             negative_step = step < 0
 *             if step == 0:             # <<<<<<<<<<<<<<
 *                 _err_dim(PyExc_ValueError, "Step may not be zero (axis %d)", dim)
 *         else:
*/
      __pyx_t_2 = (__pyx_v_step == 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":825
 *             negative_step = step < 0
 *             if step == 0:
 *                 _err_dim(PyExc_ValueError, "Step may not be zero (axis %d)", dim)             # <<<<<<<<<<<<<<
 *         else:
 *             negative_step = False
*/
        __pyx_t_3 = __pyx_memoryview_err_dim(PyExc_ValueError, __pyx_mstate_global->__pyx_kp_u_Step_may_not_be_zero_axis_d, __pyx_v_dim); if (unlikely(__pyx_t_3 == ((int)-1))) __PYX_ERR(1, 825, __pyx_L1_error)

        /* "View.MemoryView":824
 *         if have_step:
 *             negative_step = step < 0
 *             if step == 0:             # <<<<<<<<<<<<<<
 *                 _err_dim(PyExc_ValueError, "Step may not be zero (axis %d)", dim)
 *         else:
*/
      }

      /* "View.MemoryView":822
 *     else:
 * 
 *         if have_step:             # <<<<<<<<<<<<<<
 *             negative_step = step < 0
 *             if step == 0:
*/
      goto __pyx_L6;
    }

    /* "View.MemoryView":827
 *                 _err_dim(PyExc_ValueError, "Step may not be zero (axis %d)", dim)
 *         else:
 *             negative_step = False             # <<<<<<<<<<<<<<
 *             step = 1
 * 
*/
    /*else*/ {
      __pyx_v_negative_step = 0;

      /* "View.MemoryView":828
 *         else:
 *             negative_step = False
 *             step = 1             # <<<<<<<<<<<<<<
 * 
 * 
*/
      __pyx_v_step = 1;
    }
    __pyx_L6:;

    /* "View.MemoryView":831
 * 
 * 
 *         if have_start:             # <<<<<<<<<<<<<<
 *             if start < 0:
 *                 start += shape
*/
    __pyx_t_2 = (__pyx_v_have_start != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":832
 * 
 *         if have_start:
 *             if start < 0:             # <<<<<<<<<<<<<<
 *                 start += shape
 *                 if start < 0:
*/
      __pyx_t_2 = (__pyx_v_start < 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":833
 *         if have_start:
 *             if start < 0:
 *                 start += shape             # <<<<<<<<<<<<<<
 *                 if start < 0:
 *                     start = 0
*/
        __pyx_v_start = (__pyx_v_start + __pyx_v_shape);

        /* "View.MemoryView":834
 *             if start < 0:
 *                 start += shape
 *                 if start < 0:             # <<<<<<<<<<<<<<
 *                     start = 0
 *             elif start >= shape:
*/
        __pyx_t_2 = (__pyx_v_start < 0);
        if (__pyx_t_2) {

          /* "View.MemoryView":835
 *                 start += shape
 *                 if start < 0:
 *                     start = 0             # <<<<<<<<<<<<<<
 *             elif start >= shape:
 *                 if negative_step:
*/
          __pyx_v_start = 0;

          /* "View.MemoryView":834
 *             if start < 0:
 *                 start += shape
 *                 if start < 0:             # <<<<<<<<<<<<<<
 *                     start = 0
 *             elif start >= shape:
*/
        }

        /* "View.MemoryView":832
 * 
 *         if have_start:
 *             if start < 0:             # <<<<<<<<<<<<<<
 *                 start += shape
 *                 if start < 0:
*/
        goto __pyx_L9;
      }

      /* "View.MemoryView":836
 *                 if start < 0:
 *                     start = 0
 *             elif start >= shape:             # <<<<<<<<<<<<<<
 *                 if negative_step:
 *                     start = shape - 1
*/
      __pyx_t_2 = (__pyx_v_start >= __pyx_v_shape);
      if (__pyx_t_2) {

        /* "View.MemoryView":837
 *                     start = 0
 *             elif start >= shape:
 *                 if negative_step:             # <<<<<<<<<<<<<<
 *                     start = shape - 1
 *                 else:
*/
        if (__pyx_v_negative_step) {

          /* "View.MemoryView":838
 *             elif start >= shape:
 *                 if negative_step:
 *                     start = shape - 1             # <<<<<<<<<<<<<<
 *                 else:
 *                     start = shape
*/
          __pyx_v_start = (__pyx_v_shape - 1);

          /* "View.MemoryView":837
 *                     start = 0
 *             elif start >= shape:
 *                 if negative_step:             # <<<<<<<<<<<<<<
 *                     start = shape - 1
 *                 else:
*/
          goto __pyx_L11;
        }

        /* "View.MemoryView":840
 *                     start = shape - 1
 *                 else:
 *                     start = shape             # <<<<<<<<<<<<<<
 *         else:
 *             if negative_step:
*/
        /*else*/ {
          __pyx_v_start = __pyx_v_shape;
        }
        __pyx_L11:;

        /* "View.MemoryView":836
 *                 if start < 0:
 *                     start = 0
 *             elif start >= shape:             # <<<<<<<<<<<<<<
 *                 if negative_step:
 *                     start = shape - 1
*/
      }
      __pyx_L9:;

      /* "View.MemoryView":831
 * 
 * 
 *         if have_start:             # <<<<<<<<<<<<<<
 *             if start < 0:
 *                 start += shape
*/
      goto __pyx_L8;
    }

    /* "View.MemoryView":842
 *                     start = shape
 *         else:
 *             if negative_step:             # <<<<<<<<<<<<<<
 *                 start = shape - 1
 *             else:
*/
    /*else*/ {
      if (__pyx_v_negative_step) {

        /* "View.MemoryView":843
 *         else:
 *             if negative_step:
 *                 start = shape - 1             # <<<<<<<<<<<<<<
 *             else:
 *                 start = 0
*/
        __pyx_v_start = (__pyx_v_shape - 1);

        /* "View.MemoryView":842
 *                     start = shape
 *         else:
 *             if negative_step:             # <<<<<<<<<<<<<<
 *                 start = shape - 1
 *             else:
*/
        goto __pyx_L12;
      }

      /* "View.MemoryView":845
 *                 start = shape - 1
 *             else:
 *                 start = 0             # <<<<<<<<<<<<<<
 * 
 *         if have_stop:
*/
      /*else*/ {
        __pyx_v_start = 0;
      }
      __pyx_L12:;
    }
    __pyx_L8:;

    /* "View.MemoryView":847
 *                 start = 0
 * 
 *         if have_stop:             # <<<<<<<<<<<<<<
 *             if stop < 0:
 *                 stop += shape
*/
    __pyx_t_2 = (__pyx_v_have_stop != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":848
 * 
 *         if have_stop:
 *             if stop < 0:             # <<<<<<<<<<<<<<
 *                 stop += shape
 *                 if stop < 0:
*/
      __pyx_t_2 = (__pyx_v_stop < 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":849
 *         if have_stop:
 *             if stop < 0:
 *                 stop += shape             # <<<<<<<<<<<<<<
 *                 if stop < 0:
 *                     stop = 0
*/
        __pyx_v_stop = (__pyx_v_stop + __pyx_v_shape);

        /* "View.MemoryView":850
 *             if stop < 0:
 *                 stop += shape
 *                 if stop < 0:             # <<<<<<<<<<<<<<
 *                     stop = 0
 *             elif stop > shape:
*/
        __pyx_t_2 = (__pyx_v_stop < 0);
        if (__pyx_t_2) {

          /* "View.MemoryView":851
 *                 stop += shape
 *                 if stop < 0:
 *                     stop = 0             # <<<<<<<<<<<<<<
 *             elif stop > shape:
 *                 stop = shape
*/
          __pyx_v_stop = 0;

          /* "View.MemoryView":850
 *             if stop < 0:
 *                 stop += shape
 *                 if stop < 0:             # <<<<<<<<<<<<<<
 *                     stop = 0
 *             elif stop > shape:
*/
        }

        /* "View.MemoryView":848
 * 
 *         if have_stop:
 *             if stop < 0:             # <<<<<<<<<<<<<<
 *                 stop += shape
 *                 if stop < 0:
*/
        goto __pyx_L14;
      }

      /* "View.MemoryView":852
 *                 if stop < 0:
 *                     stop = 0
 *             elif stop > shape:             # <<<<<<<<<<<<<<
 *                 stop = shape
 *         else:
*/
      __pyx_t_2 = (__pyx_v_stop > __pyx_v_shape);
      if (__pyx_t_2) {

        /* "View.MemoryView":853
 *                     stop = 0
 *             elif stop > shape:
 *                 stop = shape             # <<<<<<<<<<<<<<
 *         else:
 *             if negative_step:
*/
        __pyx_v_stop = __pyx_v_shape;

        /* "View.MemoryView":852
 *                 if stop < 0:
 *                     stop = 0
 *             elif stop > shape:             # <<<<<<<<<<<<<<
 *                 stop = shape
 *         else:
*/
      }
      __pyx_L14:;

      /* "View.MemoryView":847
 *                 start = 0
 * 
 *         if have_stop:             # <<<<<<<<<<<<<<
 *             if stop < 0:
 *                 stop += shape
*/
      goto __pyx_L13;
    }

    /* "View.MemoryView":855
 *                 stop = shape
 *         else:
 *             if negative_step:             # <<<<<<<<<<<<<<
 *                 stop = -1
 *             else:
*/
    /*else*/ {
      if (__pyx_v_negative_step) {

        /* "View.MemoryView":856
 *         else:
 *             if negative_step:
 *                 stop = -1             # <<<<<<<<<<<<<<
 *             else:
 *                 stop = shape
*/
        __pyx_v_stop = -1L;

        /* "View.MemoryView":855
 *                 stop = shape
 *         else:
 *             if negative_step:             # <<<<<<<<<<<<<<
 *                 stop = -1
 *             else:
*/
        goto __pyx_L16;
      }

      /* "View.MemoryView":858
 *                 stop = -1
 *             else:
 *                 stop = shape             # <<<<<<<<<<<<<<
 * 
 * 
*/
      /*else*/ {
        __pyx_v_stop = __pyx_v_shape;
      }
      __pyx_L16:;
    }
    __pyx_L13:;

    /* "View.MemoryView":862
 * 
 *         with cython.cdivision(True):
 *             new_shape = (stop - start) // step             # <<<<<<<<<<<<<<
 * 
 *             if (stop - start) - step * new_shape:
*/
    __pyx_v_new_shape = ((__pyx_v_stop - __pyx_v_start) / __pyx_v_step);

    /* "View.MemoryView":864
 *             new_shape = (stop - start) // step
 * 
 *             if (stop - start) - step * new_shape:             # <<<<<<<<<<<<<<
 *                 new_shape += 1
 * 
*/
    __pyx_t_2 = (((__pyx_v_stop - __pyx_v_start) - (__pyx_v_step * __pyx_v_new_shape)) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":865
 * 
 *             if (stop - start) - step * new_shape:
 *                 new_shape += 1             # <<<<<<<<<<<<<<
 * 
 *         if new_shape < 0:
*/
      __pyx_v_new_shape = (__pyx_v_new_shape + 1);

      /* "View.MemoryView":864
 *             new_shape = (stop - start) // step
 * 
 *             if (stop - start) - step * new_shape:             # <<<<<<<<<<<<<<
 *                 new_shape += 1
 * 
*/
    }

    /* "View.MemoryView":867
 *                 new_shape += 1
 * 
 *         if new_shape < 0:             # <<<<<<<<<<<<<<
 *             new_shape = 0
 * 
*/
    __pyx_t_2 = (__pyx_v_new_shape < 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":868
 * 
 *         if new_shape < 0:
 *             new_shape = 0             # <<<<<<<<<<<<<<
 * 
 * 
*/
      __pyx_v_new_shape = 0;

      /* "View.MemoryView":867
 *                 new_shape += 1
 * 
 *         if new_shape < 0:             # <<<<<<<<<<<<<<
 *             new_shape = 0
 * 
*/
    }

    /* "View.MemoryView":871
 * 
 * 
 *         dst.strides[new_ndim] = stride * step             # <<<<<<<<<<<<<<
 *         dst.shape[new_ndim] = new_shape
 *         dst.suboffsets[new_ndim] = suboffset
*/
    (__pyx_v_dst->strides[__pyx_v_new_ndim]) = (__pyx_v_stride * __pyx_v_step);

    /* "View.MemoryView":872
 * 
 *         dst.strides[new_ndim] = stride * step
 *         dst.shape[new_ndim] = new_shape             # <<<<<<<<<<<<<<
 *         dst.suboffsets[new_ndim] = suboffset
 * 
*/
    (__pyx_v_dst->shape[__pyx_v_new_ndim]) = __pyx_v_new_shape;

    /* "View.MemoryView":873
 *         dst.strides[new_ndim] = stride * step
 *         dst.shape[new_ndim] = new_shape
 *         dst.suboffsets[new_ndim] = suboffset             # <<<<<<<<<<<<<<
 * 
 * 
*/
    (__pyx_v_dst->suboffsets[__pyx_v_new_ndim]) = __pyx_v_suboffset;
  }
  __pyx_L3:;

  /* "View.MemoryView":876
 * 
 * 
 *     if suboffset_dim[0] < 0:             # <<<<<<<<<<<<<<
 *         dst.data += start * stride
 *     else:
*/
  __pyx_t_2 = ((__pyx_v_suboffset_dim[0]) < 0);
  if (__pyx_t_2) {

    /* "View.MemoryView":877
 * 
 *     if suboffset_dim[0] < 0:
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    /* "View.MemoryView":943
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 *         if memslice.suboffsets[i] >= 0 or memslice.suboffsets[j] >= 0:
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*/
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 * 
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/* "View.MemoryView":1113
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 *     for i in range(ndim - 1, -1, -1):
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*/
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 *     for i in range(ndim):
*/
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 *     for i in range(ndim - 1, -1, -1):
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 * 
 *     for i in range(ndim):             # <<<<<<<<<<<<<<
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*/
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    /* "View.MemoryView":1128
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*/
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      /* "View.MemoryView":1129
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*/
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*/
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*/
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/* "View.MemoryView":1137
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 * @cython.cdivision(True)             # <<<<<<<<<<<<<<
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  /* "View.MemoryView":1146
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  /* "View.MemoryView":1147
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*/
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  /* "View.MemoryView":1150
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 *         else:
 *             for i in range(dst_extent):
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 *     if ndim == 1:
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 *                 <size_t> src_stride == itemsize == <size_t> dst_stride):
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        /* "View.MemoryView":1156
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 *             for i in range(dst_extent):
 *                 memcpy(dst_data, src_data, itemsize)             # <<<<<<<<<<<<<<
 *                 src_data += src_stride
 *                 dst_data += dst_stride
*/
        (void)(memcpy(__pyx_v_dst_data, __pyx_v_src_data, __pyx_v_itemsize));

        /* "View.MemoryView":1157
 *             for i in range(dst_extent):
 *                 memcpy(dst_data, src_data, itemsize)
 *                 src_data += src_stride             # <<<<<<<<<<<<<<
 *                 dst_data += dst_stride
 *     else:
*/
        __pyx_v_src_data = (__pyx_v_src_data + __pyx_v_src_stride);

        /* "View.MemoryView":1158
 *                 memcpy(dst_data, src_data, itemsize)
 *                 src_data += src_stride
 *                 dst_data += dst_stride             # <<<<<<<<<<<<<<
 *     else:
 *         for i in range(dst_extent):
*/
        __pyx_v_dst_data = (__pyx_v_dst_data + __pyx_v_dst_stride);
      }
    }
    __pyx_L4:;

    /* "View.MemoryView":1150
 *     cdef Py_ssize_t dst_stride = dst_strides[0]
 * 
 *     if ndim == 1:             # <<<<<<<<<<<<<<
 *         if (src_stride > 0 and dst_stride > 0 and
 *                 <size_t> src_stride == itemsize == <size_t> dst_stride):
*/
    goto __pyx_L3;
  }

  /* "View.MemoryView":1160
 *                 dst_data += dst_stride
 *     else:
 *         for i in range(dst_extent):             # <<<<<<<<<<<<<<
 *             _copy_strided_to_strided(src_data, src_strides + 1,
 *                                      dst_data, dst_strides + 1,
*/
  /*else*/ {
    __pyx_t_3 = __pyx_v_dst_extent;
    __pyx_t_4 = __pyx_t_3;
    for (__pyx_t_5 = 0; __pyx_t_5 < __pyx_t_4; __pyx_t_5+=1) {
      __pyx_v_i = __pyx_t_5;

      /* "View.MemoryView":1161
 *     else:
 *         for i in range(dst_extent):
 *             _copy_strided_to_strided(src_data, src_strides + 1,             # <<<<<<<<<<<<<<
 *                                      dst_data, dst_strides + 1,
 *                                      src_shape + 1, dst_shape + 1,
*/
      _copy_strided_to_strided(__pyx_v_src_data, (__pyx_v_src_strides + 1), __pyx_v_dst_data, (__pyx_v_dst_strides + 1), (__pyx_v_src_shape + 1), (__pyx_v_dst_shape + 1), (__pyx_v_ndim - 1), __pyx_v_itemsize);

      /* "View.MemoryView":1165
 *                                      src_shape + 1, dst_shape + 1,
 *                                      ndim - 1, itemsize)
 *             src_data += src_stride             # <<<<<<<<<<<<<<
 *             dst_data += dst_stride
 * 
*/
      __pyx_v_src_data = (__pyx_v_src_data + __pyx_v_src_stride);

      /* "View.MemoryView":1166
 *                                      ndim - 1, itemsize)
 *             src_data += src_stride
 *             dst_data += dst_stride             # <<<<<<<<<<<<<<
 * 
 * cdef void copy_strided_to_strided(__Pyx_memviewslice *src,
*/
      __pyx_v_dst_data = (__pyx_v_dst_data + __pyx_v_dst_stride);
    }
  }
  __pyx_L3:;

  /* "View.MemoryView":1137
 *         return 'F'
 * 
 * @cython.cdivision(True)             # <<<<<<<<<<<<<<
 * cdef void _copy_strided_to_strided(char *src_data, Py_ssize_t *src_strides,
 *                                    char *dst_data, Py_ssize_t *dst_strides,
*/

  /* function exit code */
}

/* "View.MemoryView":1168
 *             dst_data += dst_stride
 * 
 * cdef void copy_strided_to_strided(__Pyx_memviewslice *src,             # <<<<<<<<<<<<<<
 *                                   __Pyx_memviewslice *dst,
 *                                   int ndim, size_t itemsize) noexcept nogil:
*/

static void copy_strided_to_strided(__Pyx_memviewslice *__pyx_v_src, __Pyx_memviewslice *__pyx_v_dst, int __pyx_v_ndim, size_t __pyx_v_itemsize) {

  /* "View.MemoryView":1171
 *                                   __Pyx_memviewslice *dst,
 *                                   int ndim, size_t itemsize) noexcept nogil:
 *     _copy_strided_to_strided(src.data, src.strides, dst.data, dst.strides,             # <<<<<<<<<<<<<<
 *                              src.shape, dst.shape, ndim, itemsize)
 * 
*/
  _copy_strided_to_strided(__pyx_v_src->data, __pyx_v_src->strides, __pyx_v_dst->data, __pyx_v_dst->strides, __pyx_v_src->shape, __pyx_v_dst->shape, __pyx_v_ndim, __pyx_v_itemsize);

  /* "View.MemoryView":1168
 *             dst_data += dst_stride
 * 
 * cdef void copy_strided_to_strided(__Pyx_memviewslice *src,             # <<<<<<<<<<<<<<
 *                                   __Pyx_memviewslice *dst,
 *                                   int ndim, size_t itemsize) noexcept nogil:
*/

  /* function exit code */
}

/* "View.MemoryView":1174
 *                              src.shape, dst.shape, ndim, itemsize)
 * 
 * @cname('__pyx_memoryview_slice_get_size')             # <<<<<<<<<<<<<<
 * cdef Py_ssize_t slice_get_size(__Pyx_memviewslice *src, int ndim) noexcept nogil:
 *     "Return the size of the memory occupied by the slice in number of bytes"
*/

static Py_ssize_t __pyx_memoryview_slice_get_size(__Pyx_memviewslice *__pyx_v_src, int __pyx_v_ndim) {
  Py_ssize_t __pyx_v_shape;
  Py_ssize_t __pyx_v_size;
  Py_ssize_t __pyx_r;
  Py_ssize_t __pyx_t_1;
  Py_ssize_t *__pyx_t_2;
  Py_ssize_t *__pyx_t_3;
  Py_ssize_t *__pyx_t_4;

  /* "View.MemoryView":1177
 * cdef Py_ssize_t slice_get_size(__Pyx_memviewslice *src, int ndim) noexcept nogil:
 *     "Return the size of the memory occupied by the slice in number of bytes"
 *     cdef Py_ssize_t shape, size = src.memview.view.itemsize             # <<<<<<<<<<<<<<
 * 
 *     for shape in src.shape[:ndim]:
*/
  __pyx_t_1 = __pyx_v_src->memview->view.itemsize;
  __pyx_v_size = __pyx_t_1;

  /* "View.MemoryView":1179
 *     cdef Py_ssize_t shape, size = src.memview.view.itemsize
 * 
 *     for shape in src.shape[:ndim]:             # <<<<<<<<<<<<<<
 *         size *= shape
 * 
*/
  __pyx_t_3 = (__pyx_v_src->shape + __pyx_v_ndim);
  for (__pyx_t_4 = __pyx_v_src->shape; __pyx_t_4 < __pyx_t_3; __pyx_t_4++) {
    __pyx_t_2 = __pyx_t_4;
    __pyx_v_shape = (__pyx_t_2[0]);

    /* "View.MemoryView":1180
 * 
 *     for shape in src.shape[:ndim]:
 *         size *= shape             # <<<<<<<<<<<<<<
 * 
 *     return size
*/
    __pyx_v_size = (__pyx_v_size * __pyx_v_shape);
  }

  /* "View.MemoryView":1182
 *         size *= shape
 * 
 *     return size             # <<<<<<<<<<<<<<
 * 
 * @cname('__pyx_fill_contig_strides_array')
*/
  __pyx_r = __pyx_v_size;
  goto __pyx_L0;

  /* "View.MemoryView":1174
 *                              src.shape, dst.shape, ndim, itemsize)
 * 
 * @cname('__pyx_memoryview_slice_get_size')             # <<<<<<<<<<<<<<
 * cdef Py_ssize_t slice_get_size(__Pyx_memviewslice *src, int ndim) noexcept nogil:
 *     "Return the size of the memory occupied by the slice in number of bytes"
*/

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "View.MemoryView":1184
 *     return size
 * 
 * @cname('__pyx_fill_contig_strides_array')             # <<<<<<<<<<<<<<
 * cdef Py_ssize_t fill_contig_strides_array(
 *                 Py_ssize_t *shape, Py_ssize_t *strides, Py_ssize_t stride,
*/

static Py_ssize_t __pyx_fill_contig_strides_array(Py_ssize_t *__pyx_v_shape, Py_ssize_t *__pyx_v_strides, Py_ssize_t __pyx_v_stride, int __pyx_v_ndim, char __pyx_v_order) {
  int __pyx_v_idx;
  Py_ssize_t __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;

  /* "View.MemoryView":1194
 *     cdef int idx
 * 
 *     if order == 'F':             # <<<<<<<<<<<<<<
 *         for idx in range(ndim):
 *             strides[idx] = stride
*/
  __pyx_t_1 = (__pyx_v_order == 'F');
  if (__pyx_t_1) {

    /* "View.MemoryView":1195
 * 
 *     if order == 'F':
 *         for idx in range(ndim):             # <<<<<<<<<<<<<<
 *             strides[idx] = stride
 *             stride *= shape[idx]
*/
    __pyx_t_2 = __pyx_v_ndim;
    __pyx_t_3 = __pyx_t_2;
    for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_3; __pyx_t_4+=1) {
      __pyx_v_idx = __pyx_t_4;

      /* "View.MemoryView":1196
 *     if order == 'F':
 *         for idx in range(ndim):
 *             strides[idx] = stride             # <<<<<<<<<<<<<<
 *             stride *= shape[idx]
 *     else:
*/
      (__pyx_v_strides[__pyx_v_idx]) = __pyx_v_stride;

      /* "View.MemoryView":1197
 *         for idx in range(ndim):
 *             strides[idx] = stride
 *             stride *= shape[idx]             # <<<<<<<<<<<<<<
 *     else:
 *         for idx in range(ndim - 1, -1, -1):
*/
      __pyx_v_stride = (__pyx_v_stride * (__pyx_v_shape[__pyx_v_idx]));
    }

    /* "View.MemoryView":1194
 *     cdef int idx
 * 
 *     if order == 'F':             # <<<<<<<<<<<<<<
 *         for idx in range(ndim):
 *             strides[idx] = stride
*/
    goto __pyx_L3;
  }

  /* "View.MemoryView":1199
 *             stride *= shape[idx]
 *     else:
 *         for idx in range(ndim - 1, -1, -1):             # <<<<<<<<<<<<<<
 *             strides[idx] = stride
 *             stride *= shape[idx]
*/
  /*else*/ {
    for (__pyx_t_2 = (__pyx_v_ndim - 1); __pyx_t_2 > -1; __pyx_t_2-=1) {
      __pyx_v_idx = __pyx_t_2;

      /* "View.MemoryView":1200
 *     else:
 *         for idx in range(ndim - 1, -1, -1):
 *             strides[idx] = stride             # <<<<<<<<<<<<<<
 *             stride *= shape[idx]
 * 
*/
      (__pyx_v_strides[__pyx_v_idx]) = __pyx_v_stride;

      /* "View.MemoryView":1201
 *         for idx in range(ndim - 1, -1, -1):
 *             strides[idx] = stride
 *             stride *= shape[idx]             # <<<<<<<<<<<<<<
 * 
 *     return stride
*/
      __pyx_v_stride = (__pyx_v_stride * (__pyx_v_shape[__pyx_v_idx]));
    }
  }
  __pyx_L3:;

  /* "View.MemoryView":1203
 *             stride *= shape[idx]
 * 
 *     return stride             # <<<<<<<<<<<<<<
 * 
 * @cname('__pyx_memoryview_copy_data_to_temp')
*/
  __pyx_r = __pyx_v_stride;
  goto __pyx_L0;

  /* "View.MemoryView":1184
 *     return size
 * 
 * @cname('__pyx_fill_contig_strides_array')             # <<<<<<<<<<<<<<
 * cdef Py_ssize_t fill_contig_strides_array(
 *                 Py_ssize_t *shape, Py_ssize_t *strides, Py_ssize_t stride,
*/

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "View.MemoryView":1205
 *     return stride
 * 
 * @cname('__pyx_memoryview_copy_data_to_temp')             # <<<<<<<<<<<<<<
 * cdef void *copy_data_to_temp(__Pyx_memviewslice *src,
 *                              __Pyx_memviewslice *tmpslice,
*/

static void *__pyx_memoryview_copy_data_to_temp(__Pyx_memviewslice *__pyx_v_src, __Pyx_memviewslice *__pyx_v_tmpslice, char __pyx_v_order, int __pyx_v_ndim) {
  int __pyx_v_i;
  void *__pyx_v_result;
  size_t __pyx_v_itemsize;
  size_t __pyx_v_size;
  void *__pyx_r;
  Py_ssize_t __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  struct __pyx_memoryview_obj *__pyx_t_4;
  int __pyx_t_5;
  int __pyx_t_6;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyGILState_STATE __pyx_gilstate_save;

  /* "View.MemoryView":1217
 *     cdef void *result
 * 
 *     cdef size_t itemsize = src.memview.view.itemsize             # <<<<<<<<<<<<<<
 *     cdef size_t size = slice_get_size(src, ndim)
 * 
*/
  __pyx_t_1 = __pyx_v_src->memview->view.itemsize;
  __pyx_v_itemsize = __pyx_t_1;

  /* "View.MemoryView":1218
 * 
 *     cdef size_t itemsize = src.memview.view.itemsize
 *     cdef size_t size = slice_get_size(src, ndim)             # <<<<<<<<<<<<<<
 * 
 *     result = malloc(size)
*/
  __pyx_v_size = __pyx_memoryview_slice_get_size(__pyx_v_src, __pyx_v_ndim);

  /* "View.MemoryView":1220
 *     cdef size_t size = slice_get_size(src, ndim)
 * 
 *     result = malloc(size)             # <<<<<<<<<<<<<<
 *     if not result:
 *         _err_no_memory()
*/
  __pyx_v_result = malloc(__pyx_v_size);

  /* "View.MemoryView":1221
 * 
 *     result = malloc(size)
 *     if not result:             # <<<<<<<<<<<<<<
 *         _err_no_memory()
 * 
*/
  __pyx_t_2 = (!(__pyx_v_result != 0));
  if (__pyx_t_2) {

    /* "View.MemoryView":1222
 *     result = malloc(size)
 *     if not result:
 *         _err_no_memory()             # <<<<<<<<<<<<<<
 * 
 * 
*/
    __pyx_t_3 = __pyx_memoryview_err_no_memory(); if (unlikely(__pyx_t_3 == ((int)-1))) __PYX_ERR(1, 1222, __pyx_L1_error)

    /* "View.MemoryView":1221
 * 
 *     result = malloc(size)
 *     if not result:             # <<<<<<<<<<<<<<
 *         _err_no_memory()
 * 
*/
  }

  /* "View.MemoryView":1225
 * 
 * 
 *     tmpslice.data = <char *> result             # <<<<<<<<<<<<<<
 *     tmpslice.memview = src.memview
 *     for i in range(ndim):
*/
  __pyx_v_tmpslice->data = ((char *)__pyx_v_result);

  /* "View.MemoryView":1226
 * 
 *     tmpslice.data = <char *> result
 *     tmpslice.memview = src.memview             # <<<<<<<<<<<<<<
 *     for i in range(ndim):
 *         tmpslice.shape[i] = src.shape[i]
*/
  __pyx_t_4 = __pyx_v_src->memview;
  __pyx_v_tmpslice->memview = __pyx_t_4;

  /* "View.MemoryView":1227
 *     tmpslice.data = <char *> result
 *     tmpslice.memview = src.memview
 *     for i in range(ndim):             # <<<<<<<<<<<<<<
 *         tmpslice.shape[i] = src.shape[i]
 *         tmpslice.suboffsets[i] = -1
*/
  __pyx_t_3 = __pyx_v_ndim;
  __pyx_t_5 = __pyx_t_3;
  for (__pyx_t_6 = 0; __pyx_t_6 < __pyx_t_5; __pyx_t_6+=1) {
    __pyx_v_i = __pyx_t_6;

    /* "View.MemoryView":1228
 *     tmpslice.memview = src.memview
 *     for i in range(ndim):
 *         tmpslice.shape[i] = src.shape[i]             # <<<<<<<<<<<<<<
 *         tmpslice.suboffsets[i] = -1
 * 
*/
    (__pyx_v_tmpslice->shape[__pyx_v_i]) = (__pyx_v_src->shape[__pyx_v_i]);

    /* "View.MemoryView":1229
 *     for i in range(ndim):
 *         tmpslice.shape[i] = src.shape[i]
 *         tmpslice.suboffsets[i] = -1             # <<<<<<<<<<<<<<
 * 
 *     fill_contig_strides_array(&tmpslice.shape[0], &tmpslice.strides[0], itemsize, ndim, order)
*/
    (__pyx_v_tmpslice->suboffsets[__pyx_v_i]) = -1L;
  }

  /* "View.MemoryView":1231
 *         tmpslice.suboffsets[i] = -1
 * 
 *     fill_contig_strides_array(&tmpslice.shape[0], &tmpslice.strides[0], itemsize, ndim, order)             # <<<<<<<<<<<<<<
 * 
 * 
*/
  (void)(__pyx_fill_contig_strides_array((&(__pyx_v_tmpslice->shape[0])), (&(__pyx_v_tmpslice->strides[0])), __pyx_v_itemsize, __pyx_v_ndim, __pyx_v_order));

  /* "View.MemoryView":1234
 * 
 * 
 *     for i in range(ndim):             # <<<<<<<<<<<<<<
 *         if tmpslice.shape[i] == 1:
 *             tmpslice.strides[i] = 0
*/
  __pyx_t_3 = __pyx_v_ndim;
  __pyx_t_5 = __pyx_t_3;
  for (__pyx_t_6 = 0; __pyx_t_6 < __pyx_t_5; __pyx_t_6+=1) {
    __pyx_v_i = __pyx_t_6;

    /* "View.MemoryView":1235
 * 
 *     for i in range(ndim):
 *         if tmpslice.shape[i] == 1:             # <<<<<<<<<<<<<<
 *             tmpslice.strides[i] = 0
 * 
*/
    __pyx_t_2 = ((__pyx_v_tmpslice->shape[__pyx_v_i]) == 1);
    if (__pyx_t_2) {

      /* "View.MemoryView":1236
 *     for i in range(ndim):
 *         if tmpslice.shape[i] == 1:
 *             tmpslice.strides[i] = 0             # <<<<<<<<<<<<<<
 * 
 *     if slice_is_contig(src[0], order, ndim):
*/
      (__pyx_v_tmpslice->strides[__pyx_v_i]) = 0;

      /* "View.MemoryView":1235
 * 
 *     for i in range(ndim):
 *         if tmpslice.shape[i] == 1:             # <<<<<<<<<<<<<<
 *             tmpslice.strides[i] = 0
 * 
*/
    }
  }

  /* "View.MemoryView":1238
 *             tmpslice.strides[i] = 0
 * 
 *     if slice_is_contig(src[0], order, ndim):             # <<<<<<<<<<<<<<
 *         memcpy(result, src.data, size)
 *     else:
*/
  __pyx_t_2 = __pyx_memviewslice_is_contig((__pyx_v_src[0]), __pyx_v_order, __pyx_v_ndim);
  if (__pyx_t_2) {

    /* "View.MemoryView":1239
 * 
 *     if slice_is_contig(src[0], order, ndim):
 *         memcpy(result, src.data, size)             # <<<<<<<<<<<<<<
 *     else:
 *         copy_strided_to_strided(src, tmpslice, ndim, itemsize)
*/
    (void)(memcpy(__pyx_v_result, __pyx_v_src->data, __pyx_v_size));

    /* "View.MemoryView":1238
 *             tmpslice.strides[i] = 0
 * 
 *     if slice_is_contig(src[0], order, ndim):             # <<<<<<<<<<<<<<
 *         memcpy(result, src.data, size)
 *     else:
*/
    goto __pyx_L9;
  }

  /* "View.MemoryView":1241
 *         memcpy(result, src.data, size)
 *     else:
 *         copy_strided_to_strided(src, tmpslice, ndim, itemsize)             # <<<<<<<<<<<<<<
 * 
 *     return result
*/
  /*else*/ {
    copy_strided_to_strided(__pyx_v_src, __pyx_v_tmpslice, __pyx_v_ndim, __pyx_v_itemsize);
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  /* "View.MemoryView":1243
 *         copy_strided_to_strided(src, tmpslice, ndim, itemsize)
 * 
 *     return result             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __pyx_r = __pyx_v_result;
  goto __pyx_L0;

  /* "View.MemoryView":1205
 *     return stride
 * 
 * @cname('__pyx_memoryview_copy_data_to_temp')             # <<<<<<<<<<<<<<
 * cdef void *copy_data_to_temp(__Pyx_memviewslice *src,
 *                              __Pyx_memviewslice *tmpslice,
*/

  /* function exit code */
  __pyx_L1_error:;
  __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
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}

/* "View.MemoryView":1247
 * 
 * 
 * @cname('__pyx_memoryview_err_extents')             # <<<<<<<<<<<<<<
 * cdef int _err_extents(int i, Py_ssize_t extent1,
 *                              Py_ssize_t extent2) except -1 with gil:
*/

static int __pyx_memoryview_err_extents(int __pyx_v_i, Py_ssize_t __pyx_v_extent1, Py_ssize_t __pyx_v_extent2) {
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  const char *__pyx_filename = NULL;
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 * cdef int _err_extents(int i, Py_ssize_t extent1,
 *                              Py_ssize_t extent2) except -1 with gil:
 *     raise ValueError, f"got differing extents in dimension {i} (got {extent1} and {extent2})"             # <<<<<<<<<<<<<<
 * 
 * @cname('__pyx_memoryview_err_dim')
*/
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    }

    /* "View.MemoryView":1313
 *         if slice_is_contig(src, 'C', ndim):
 *             direct_copy = slice_is_contig(dst, 'C', ndim)
 *         elif slice_is_contig(src, 'F', ndim):             # <<<<<<<<<<<<<<
 *             direct_copy = slice_is_contig(dst, 'F', ndim)
 * 
*/
    __pyx_t_2 = __pyx_memviewslice_is_contig(__pyx_v_src, 'F', __pyx_v_ndim);
    if (__pyx_t_2) {

      /* "View.MemoryView":1314
 *             direct_copy = slice_is_contig(dst, 'C', ndim)
 *         elif slice_is_contig(src, 'F', ndim):
 *             direct_copy = slice_is_contig(dst, 'F', ndim)             # <<<<<<<<<<<<<<
 * 
 *         if direct_copy:
*/
      __pyx_v_direct_copy = __pyx_memviewslice_is_contig(__pyx_v_dst, 'F', __pyx_v_ndim);

      /* "View.MemoryView":1313
 *         if slice_is_contig(src, 'C', ndim):
 *             direct_copy = slice_is_contig(dst, 'C', ndim)
 *         elif slice_is_contig(src, 'F', ndim):             # <<<<<<<<<<<<<<
 *             direct_copy = slice_is_contig(dst, 'F', ndim)
 * 
*/
    }
    __pyx_L12:;

    /* "View.MemoryView":1316
 *             direct_copy = slice_is_contig(dst, 'F', ndim)
 * 
 *         if direct_copy:             # <<<<<<<<<<<<<<
 * 
 *             refcount_copying(&dst, dtype_is_object, ndim, inc=False)
*/
    if (__pyx_v_direct_copy) {

      /* "View.MemoryView":1318
 *         if direct_copy:
 * 
 *             refcount_copying(&dst, dtype_is_object, ndim, inc=False)             # <<<<<<<<<<<<<<
 *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))
 *             refcount_copying(&dst, dtype_is_object, ndim, inc=True)
*/
      __pyx_memoryview_refcount_copying((&__pyx_v_dst), __pyx_v_dtype_is_object, __pyx_v_ndim, 0);

      /* "View.MemoryView":1319
 * 
 *             refcount_copying(&dst, dtype_is_object, ndim, inc=False)
 *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))             # <<<<<<<<<<<<<<
 *             refcount_copying(&dst, dtype_is_object, ndim, inc=True)
 *             free(tmpdata)
*/
      (void)(memcpy(__pyx_v_dst.data, __pyx_v_src.data, __pyx_memoryview_slice_get_size((&__pyx_v_src), __pyx_v_ndim)));

      /* "View.MemoryView":1320
 *             refcount_copying(&dst, dtype_is_object, ndim, inc=False)
 *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))
 *             refcount_copying(&dst, dtype_is_object, ndim, inc=True)             # <<<<<<<<<<<<<<
 *             free(tmpdata)
 *             return 0
*/
      __pyx_memoryview_refcount_copying((&__pyx_v_dst), __pyx_v_dtype_is_object, __pyx_v_ndim, 1);

      /* "View.MemoryView":1321
 *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))
 *             refcount_copying(&dst, dtype_is_object, ndim, inc=True)
 *             free(tmpdata)             # <<<<<<<<<<<<<<
 *             return 0
 * 
*/
      free(__pyx_v_tmpdata);

      /* "View.MemoryView":1322
 *             refcount_copying(&dst, dtype_is_object, ndim, inc=True)
 *             free(tmpdata)
 *             return 0             # <<<<<<<<<<<<<<
 * 
 *     if order == 'F' == get_best_order(&dst, ndim):
*/
      __pyx_r = 0;
      goto __pyx_L0;

      /* "View.MemoryView":1316
 *             direct_copy = slice_is_contig(dst, 'F', ndim)
 * 
 *         if direct_copy:             # <<<<<<<<<<<<<<
 * 
 *             refcount_copying(&dst, dtype_is_object, ndim, inc=False)
*/
    }

    /* "View.MemoryView":1308
 *         src = tmp
 * 
 *     if not broadcasting:             # <<<<<<<<<<<<<<
 * 
 * 
*/
  }

  /* "View.MemoryView":1324
 *             return 0
 * 
 *     if order == 'F' == get_best_order(&dst, ndim):             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __pyx_t_2 = (__pyx_v_order == 'F');
  if (__pyx_t_2) {
    __pyx_t_2 = ('F' == __pyx_get_best_slice_order((&__pyx_v_dst), __pyx_v_ndim));
  }
  if (__pyx_t_2) {

    /* "View.MemoryView":1327
 * 
 * 
 *         transpose_memslice(&src)             # <<<<<<<<<<<<<<
 *         transpose_memslice(&dst)
 * 
*/
    __pyx_t_5 = __pyx_memslice_transpose((&__pyx_v_src)); if (unlikely(__pyx_t_5 == ((int)-1))) __PYX_ERR(1, 1327, __pyx_L1_error)

    /* "View.MemoryView":1328
 * 
 *         transpose_memslice(&src)
 *         transpose_memslice(&dst)             # <<<<<<<<<<<<<<
 * 
 *     refcount_copying(&dst, dtype_is_object, ndim, inc=False)
*/
    __pyx_t_5 = __pyx_memslice_transpose((&__pyx_v_dst)); if (unlikely(__pyx_t_5 == ((int)-1))) __PYX_ERR(1, 1328, __pyx_L1_error)

    /* "View.MemoryView":1324
 *             return 0
 * 
 *     if order == 'F' == get_best_order(&dst, ndim):             # <<<<<<<<<<<<<<
 * 
 * 
*/
  }

  /* "View.MemoryView":1330
 *         transpose_memslice(&dst)
 * 
 *     refcount_copying(&dst, dtype_is_object, ndim, inc=False)             # <<<<<<<<<<<<<<
 *     copy_strided_to_strided(&src, &dst, ndim, itemsize)
 *     refcount_copying(&dst, dtype_is_object, ndim, inc=True)
*/
  __pyx_memoryview_refcount_copying((&__pyx_v_dst), __pyx_v_dtype_is_object, __pyx_v_ndim, 0);

  /* "View.MemoryView":1331
 * 
 *     refcount_copying(&dst, dtype_is_object, ndim, inc=False)
 *     copy_strided_to_strided(&src, &dst, ndim, itemsize)             # <<<<<<<<<<<<<<
 *     refcount_copying(&dst, dtype_is_object, ndim, inc=True)
 * 
*/
  copy_strided_to_strided((&__pyx_v_src), (&__pyx_v_dst), __pyx_v_ndim, __pyx_v_itemsize);

  /* "View.MemoryView":1332
 *     refcount_copying(&dst, dtype_is_object, ndim, inc=False)
 *     copy_strided_to_strided(&src, &dst, ndim, itemsize)
 *     refcount_copying(&dst, dtype_is_object, ndim, inc=True)             # <<<<<<<<<<<<<<
 * 
 *     free(tmpdata)
*/
  __pyx_memoryview_refcount_copying((&__pyx_v_dst), __pyx_v_dtype_is_object, __pyx_v_ndim, 1);

  /* "View.MemoryView":1334
 *     refcount_copying(&dst, dtype_is_object, ndim, inc=True)
 * 
 *     free(tmpdata)             # <<<<<<<<<<<<<<
 *     return 0
 * 
*/
  free(__pyx_v_tmpdata);

  /* "View.MemoryView":1335
 * 
 *     free(tmpdata)
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * @cname('__pyx_memoryview_broadcast_leading')
*/
  __pyx_r = 0;
  goto __pyx_L0;

  /* "View.MemoryView":1265
 * 
 * 
 * @cname('__pyx_memoryview_copy_contents')             # <<<<<<<<<<<<<<
 * cdef int memoryview_copy_contents(__Pyx_memviewslice src,
 *                                   __Pyx_memviewslice dst,
*/

  /* function exit code */
  __pyx_L1_error:;
  __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
  __Pyx_AddTraceback("View.MemoryView.memoryview_copy_contents", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = -1;
  __Pyx_PyGILState_Release(__pyx_gilstate_save);
  __pyx_L0:;
  return __pyx_r;
}

/* "View.MemoryView":1337
 *     return 0
 * 
 * @cname('__pyx_memoryview_broadcast_leading')             # <<<<<<<<<<<<<<
 * cdef void broadcast_leading(__Pyx_memviewslice *mslice,
 *                             int ndim,
*/

static void __pyx_memoryview_broadcast_leading(__Pyx_memviewslice *__pyx_v_mslice, int __pyx_v_ndim, int __pyx_v_ndim_other) {
  int __pyx_v_i;
  int __pyx_v_offset;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;

  /* "View.MemoryView":1342
 *                             int ndim_other) noexcept nogil:
 *     cdef int i
 *     cdef int offset = ndim_other - ndim             # <<<<<<<<<<<<<<
 * 
 *     for i in range(ndim - 1, -1, -1):
*/
  __pyx_v_offset = (__pyx_v_ndim_other - __pyx_v_ndim);

  /* "View.MemoryView":1344
 *     cdef int offset = ndim_other - ndim
 * 
 *     for i in range(ndim - 1, -1, -1):             # <<<<<<<<<<<<<<
 *         mslice.shape[i + offset] = mslice.shape[i]
 *         mslice.strides[i + offset] = mslice.strides[i]
*/
  for (__pyx_t_1 = (__pyx_v_ndim - 1); __pyx_t_1 > -1; __pyx_t_1-=1) {
    __pyx_v_i = __pyx_t_1;

    /* "View.MemoryView":1345
 * 
 *     for i in range(ndim - 1, -1, -1):
 *         mslice.shape[i + offset] = mslice.shape[i]             # <<<<<<<<<<<<<<
 *         mslice.strides[i + offset] = mslice.strides[i]
 *         mslice.suboffsets[i + offset] = mslice.suboffsets[i]
*/
    (__pyx_v_mslice->shape[(__pyx_v_i + __pyx_v_offset)]) = (__pyx_v_mslice->shape[__pyx_v_i]);

    /* "View.MemoryView":1346
 *     for i in range(ndim - 1, -1, -1):
 *         mslice.shape[i + offset] = mslice.shape[i]
 *         mslice.strides[i + offset] = mslice.strides[i]             # <<<<<<<<<<<<<<
 *         mslice.suboffsets[i + offset] = mslice.suboffsets[i]
 * 
*/
    (__pyx_v_mslice->strides[(__pyx_v_i + __pyx_v_offset)]) = (__pyx_v_mslice->strides[__pyx_v_i]);

    /* "View.MemoryView":1347
 *         mslice.shape[i + offset] = mslice.shape[i]
 *         mslice.strides[i + offset] = mslice.strides[i]
 *         mslice.suboffsets[i + offset] = mslice.suboffsets[i]             # <<<<<<<<<<<<<<
 * 
 *     for i in range(offset):
*/
    (__pyx_v_mslice->suboffsets[(__pyx_v_i + __pyx_v_offset)]) = (__pyx_v_mslice->suboffsets[__pyx_v_i]);
  }

  /* "View.MemoryView":1349
 *         mslice.suboffsets[i + offset] = mslice.suboffsets[i]
 * 
 *     for i in range(offset):             # <<<<<<<<<<<<<<
 *         mslice.shape[i] = 1
 *         mslice.strides[i] = mslice.strides[0]
*/
  __pyx_t_1 = __pyx_v_offset;
  __pyx_t_2 = __pyx_t_1;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "View.MemoryView":1350
 * 
 *     for i in range(offset):
 *         mslice.shape[i] = 1             # <<<<<<<<<<<<<<
 *         mslice.strides[i] = mslice.strides[0]
 *         mslice.suboffsets[i] = -1
*/
    (__pyx_v_mslice->shape[__pyx_v_i]) = 1;

    /* "View.MemoryView":1351
 *     for i in range(offset):
 *         mslice.shape[i] = 1
 *         mslice.strides[i] = mslice.strides[0]             # <<<<<<<<<<<<<<
 *         mslice.suboffsets[i] = -1
 * 
*/
    (__pyx_v_mslice->strides[__pyx_v_i]) = (__pyx_v_mslice->strides[0]);

    /* "View.MemoryView":1352
 *         mslice.shape[i] = 1
 *         mslice.strides[i] = mslice.strides[0]
 *         mslice.suboffsets[i] = -1             # <<<<<<<<<<<<<<
 * 
 * 
*/
    (__pyx_v_mslice->suboffsets[__pyx_v_i]) = -1L;
  }

  /* "View.MemoryView":1337
 *     return 0
 * 
 * @cname('__pyx_memoryview_broadcast_leading')             # <<<<<<<<<<<<<<
 * cdef void broadcast_leading(__Pyx_memviewslice *mslice,
 *                             int ndim,
*/

  /* function exit code */
}

/* "View.MemoryView":1359
 * 
 * 
 * @cname('__pyx_memoryview_refcount_copying')             # <<<<<<<<<<<<<<
 * cdef void refcount_copying(__Pyx_memviewslice *dst, bint dtype_is_object, int ndim, bint inc) noexcept nogil:
 * 
*/

static void __pyx_memoryview_refcount_copying(__Pyx_memviewslice *__pyx_v_dst, int __pyx_v_dtype_is_object, int __pyx_v_ndim, int __pyx_v_inc) {

  /* "View.MemoryView":1362
 * cdef void refcount_copying(__Pyx_memviewslice *dst, bint dtype_is_object, int ndim, bint inc) noexcept nogil:
 * 
 *     if dtype_is_object:             # <<<<<<<<<<<<<<
 *         refcount_objects_in_slice_with_gil(dst.data, dst.shape, dst.strides, ndim, inc)
 * 
*/
  if (__pyx_v_dtype_is_object) {

    /* "View.MemoryView":1363
 * 
 *     if dtype_is_object:
 *         refcount_objects_in_slice_with_gil(dst.data, dst.shape, dst.strides, ndim, inc)             # <<<<<<<<<<<<<<
 * 
 * @cname('__pyx_memoryview_refcount_objects_in_slice_with_gil')
*/
    __pyx_memoryview_refcount_objects_in_slice_with_gil(__pyx_v_dst->data, __pyx_v_dst->shape, __pyx_v_dst->strides, __pyx_v_ndim, __pyx_v_inc);

    /* "View.MemoryView":1362
 * cdef void refcount_copying(__Pyx_memviewslice *dst, bint dtype_is_object, int ndim, bint inc) noexcept nogil:
 * 
 *     if dtype_is_object:             # <<<<<<<<<<<<<<
 *         refcount_objects_in_slice_with_gil(dst.data, dst.shape, dst.strides, ndim, inc)
 * 
*/
  }

  /* "View.MemoryView":1359
 * 
 * 
 * @cname('__pyx_memoryview_refcount_copying')             # <<<<<<<<<<<<<<
 * cdef void refcount_copying(__Pyx_memviewslice *dst, bint dtype_is_object, int ndim, bint inc) noexcept nogil:
 * 
*/

  /* function exit code */
}

/* "View.MemoryView":1365
 *         refcount_objects_in_slice_with_gil(dst.data, dst.shape, dst.strides, ndim, inc)
 * 
 * @cname('__pyx_memoryview_refcount_objects_in_slice_with_gil')             # <<<<<<<<<<<<<<
 * cdef void refcount_objects_in_slice_with_gil(char *data, Py_ssize_t *shape,
 *                                              Py_ssize_t *strides, int ndim,
*/

static void __pyx_memoryview_refcount_objects_in_slice_with_gil(char *__pyx_v_data, Py_ssize_t *__pyx_v_shape, Py_ssize_t *__pyx_v_strides, int __pyx_v_ndim, int __pyx_v_inc) {
  PyGILState_STATE __pyx_gilstate_save = __Pyx_PyGILState_Ensure();

  /* "View.MemoryView":1369
 *                                              Py_ssize_t *strides, int ndim,
 *                                              bint inc) noexcept with gil:
 *     refcount_objects_in_slice(data, shape, strides, ndim, inc)             # <<<<<<<<<<<<<<
 * 
 * @cname('__pyx_memoryview_refcount_objects_in_slice')
*/
  __pyx_memoryview_refcount_objects_in_slice(__pyx_v_data, __pyx_v_shape, __pyx_v_strides, __pyx_v_ndim, __pyx_v_inc);

  /* "View.MemoryView":1365
 *         refcount_objects_in_slice_with_gil(dst.data, dst.shape, dst.strides, ndim, inc)
 * 
 * @cname('__pyx_memoryview_refcount_objects_in_slice_with_gil')             # <<<<<<<<<<<<<<
 * cdef void refcount_objects_in_slice_with_gil(char *data, Py_ssize_t *shape,
 *                                              Py_ssize_t *strides, int ndim,
*/

  /* function exit code */
  __Pyx_PyGILState_Release(__pyx_gilstate_save);
}

/* "View.MemoryView":1371
 *     refcount_objects_in_slice(data, shape, strides, ndim, inc)
 * 
 * @cname('__pyx_memoryview_refcount_objects_in_slice')             # <<<<<<<<<<<<<<
 * cdef void refcount_objects_in_slice(char *data, Py_ssize_t *shape,
 *                                     Py_ssize_t *strides, int ndim, bint inc) noexcept:
*/

static void __pyx_memoryview_refcount_objects_in_slice(char *__pyx_v_data, Py_ssize_t *__pyx_v_shape, Py_ssize_t *__pyx_v_strides, int __pyx_v_ndim, int __pyx_v_inc) {
  CYTHON_UNUSED Py_ssize_t __pyx_v_i;
  Py_ssize_t __pyx_v_stride;
  Py_ssize_t __pyx_t_1;
  Py_ssize_t __pyx_t_2;
  Py_ssize_t __pyx_t_3;
  int __pyx_t_4;

  /* "View.MemoryView":1375
 *                                     Py_ssize_t *strides, int ndim, bint inc) noexcept:
 *     cdef Py_ssize_t i
 *     cdef Py_ssize_t stride = strides[0]             # <<<<<<<<<<<<<<
 * 
 *     for i in range(shape[0]):
*/
  __pyx_v_stride = (__pyx_v_strides[0]);

  /* "View.MemoryView":1377
 *     cdef Py_ssize_t stride = strides[0]
 * 
 *     for i in range(shape[0]):             # <<<<<<<<<<<<<<
 *         if ndim == 1:
 *             if inc:
*/
  __pyx_t_1 = (__pyx_v_shape[0]);
  __pyx_t_2 = __pyx_t_1;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "View.MemoryView":1378
 * 
 *     for i in range(shape[0]):
 *         if ndim == 1:             # <<<<<<<<<<<<<<
 *             if inc:
 *                 Py_INCREF((<PyObject **> data)[0])
*/
    __pyx_t_4 = (__pyx_v_ndim == 1);
    if (__pyx_t_4) {

      /* "View.MemoryView":1379
 *     for i in range(shape[0]):
 *         if ndim == 1:
 *             if inc:             # <<<<<<<<<<<<<<
 *                 Py_INCREF((<PyObject **> data)[0])
 *             else:
*/
      if (__pyx_v_inc) {

        /* "View.MemoryView":1380
 *         if ndim == 1:
 *             if inc:
 *                 Py_INCREF((<PyObject **> data)[0])             # <<<<<<<<<<<<<<
 *             else:
 *                 Py_DECREF((<PyObject **> data)[0])
*/
        Py_INCREF((((PyObject **)__pyx_v_data)[0]));

        /* "View.MemoryView":1379
 *     for i in range(shape[0]):
 *         if ndim == 1:
 *             if inc:             # <<<<<<<<<<<<<<
 *                 Py_INCREF((<PyObject **> data)[0])
 *             else:
*/
        goto __pyx_L6;
      }

      /* "View.MemoryView":1382
 *                 Py_INCREF((<PyObject **> data)[0])
 *             else:
 *                 Py_DECREF((<PyObject **> data)[0])             # <<<<<<<<<<<<<<
 *         else:
 *             refcount_objects_in_slice(data, shape + 1, strides + 1, ndim - 1, inc)
*/
      /*else*/ {
        Py_DECREF((((PyObject **)__pyx_v_data)[0]));
      }
      __pyx_L6:;

      /* "View.MemoryView":1378
 * 
 *     for i in range(shape[0]):
 *         if ndim == 1:             # <<<<<<<<<<<<<<
 *             if inc:
 *                 Py_INCREF((<PyObject **> data)[0])
*/
      goto __pyx_L5;
    }

    /* "View.MemoryView":1384
 *                 Py_DECREF((<PyObject **> data)[0])
 *         else:
 *             refcount_objects_in_slice(data, shape + 1, strides + 1, ndim - 1, inc)             # <<<<<<<<<<<<<<
 * 
 *         data += stride
*/
    /*else*/ {
      __pyx_memoryview_refcount_objects_in_slice(__pyx_v_data, (__pyx_v_shape + 1), (__pyx_v_strides + 1), (__pyx_v_ndim - 1), __pyx_v_inc);
    }
    __pyx_L5:;

    /* "View.MemoryView":1386
 *             refcount_objects_in_slice(data, shape + 1, strides + 1, ndim - 1, inc)
 * 
 *         data += stride             # <<<<<<<<<<<<<<
 * 
 * 
*/
    __pyx_v_data = (__pyx_v_data + __pyx_v_stride);
  }

  /* "View.MemoryView":1371
 *     refcount_objects_in_slice(data, shape, strides, ndim, inc)
 * 
 * @cname('__pyx_memoryview_refcount_objects_in_slice')             # <<<<<<<<<<<<<<
 * cdef void refcount_objects_in_slice(char *data, Py_ssize_t *shape,
 *                                     Py_ssize_t *strides, int ndim, bint inc) noexcept:
*/

  /* function exit code */
}

/* "View.MemoryView":1391
 * 
 * 
 * @cname('__pyx_memoryview_slice_assign_scalar')             # <<<<<<<<<<<<<<
 * cdef void slice_assign_scalar(__Pyx_memviewslice *dst, int ndim,
 *                               size_t itemsize, void *item,
*/

static void __pyx_memoryview_slice_assign_scalar(__Pyx_memviewslice *__pyx_v_dst, int __pyx_v_ndim, size_t __pyx_v_itemsize, void *__pyx_v_item, int __pyx_v_dtype_is_object) {

  /* "View.MemoryView":1395
 *                               size_t itemsize, void *item,
 *                               bint dtype_is_object) noexcept nogil:
 *     refcount_copying(dst, dtype_is_object, ndim, inc=False)             # <<<<<<<<<<<<<<
 *     _slice_assign_scalar(dst.data, dst.shape, dst.strides, ndim, itemsize, item)
 *     refcount_copying(dst, dtype_is_object, ndim, inc=True)
*/
  __pyx_memoryview_refcount_copying(__pyx_v_dst, __pyx_v_dtype_is_object, __pyx_v_ndim, 0);

  /* "View.MemoryView":1396
 *                               bint dtype_is_object) noexcept nogil:
 *     refcount_copying(dst, dtype_is_object, ndim, inc=False)
 *     _slice_assign_scalar(dst.data, dst.shape, dst.strides, ndim, itemsize, item)             # <<<<<<<<<<<<<<
 *     refcount_copying(dst, dtype_is_object, ndim, inc=True)
 * 
*/
  __pyx_memoryview__slice_assign_scalar(__pyx_v_dst->data, __pyx_v_dst->shape, __pyx_v_dst->strides, __pyx_v_ndim, __pyx_v_itemsize, __pyx_v_item);

  /* "View.MemoryView":1397
 *     refcount_copying(dst, dtype_is_object, ndim, inc=False)
 *     _slice_assign_scalar(dst.data, dst.shape, dst.strides, ndim, itemsize, item)
 *     refcount_copying(dst, dtype_is_object, ndim, inc=True)             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __pyx_memoryview_refcount_copying(__pyx_v_dst, __pyx_v_dtype_is_object, __pyx_v_ndim, 1);

  /* "View.MemoryView":1391
 * 
 * 
 * @cname('__pyx_memoryview_slice_assign_scalar')             # <<<<<<<<<<<<<<
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/* "../../../tmp/build-env-ehhb37m2/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":284
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static CYTHON_INLINE npy_intp __pyx_f_5numpy_9broadcast_4size_size(PyArrayMultiIterObject *__pyx_v_self) {
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/* "../../../tmp/build-env-ehhb37m2/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":289
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/* "../../../tmp/build-env-ehhb37m2/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":294
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  /* function exit code */
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/* "../../../tmp/build-env-ehhb37m2/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":299
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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-ehhb37m2/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":302
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  /* "../../../tmp/build-env-ehhb37m2/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":299
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/* "../../../tmp/build-env-ehhb37m2/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":304
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/* "../../../tmp/build-env-ehhb37m2/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":322
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 * 
 * 
 * cdef inline bint is_datetime64_object(object obj) noexcept:             # <<<<<<<<<<<<<<
 *     """
 *     Cython equivalent of `isinstance(obj, np.datetime64)`
*/

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "../../../tmp/build-env-ehhb37m2/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":1055
 * 
 * 
 * cdef inline npy_datetime get_datetime64_value(object obj) noexcept nogil:             # <<<<<<<<<<<<<<
 *     """
 *     returns the int64 value underlying scalar numpy datetime64 object
*/

static CYTHON_INLINE npy_datetime __pyx_f_5numpy_get_datetime64_value(PyObject *__pyx_v_obj) {
  npy_datetime __pyx_r;

  /* "../../../tmp/build-env-ehhb37m2/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":1062
 *     also needed.  That can be found using `get_datetime64_unit`.
 *     """
 *     return (<PyDatetimeScalarObject*>obj).obval             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __pyx_r = ((PyDatetimeScalarObject *)__pyx_v_obj)->obval;
  goto __pyx_L0;

  /* "../../../tmp/build-env-ehhb37m2/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":1055
 * 
 * 
 * cdef inline npy_datetime get_datetime64_value(object obj) noexcept nogil:             # <<<<<<<<<<<<<<
 *     """
 *     returns the int64 value underlying scalar numpy datetime64 object
*/

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "../../../tmp/build-env-ehhb37m2/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":1065
 * 
 * 
 * cdef inline npy_timedelta get_timedelta64_value(object obj) noexcept nogil:             # <<<<<<<<<<<<<<
 *     """
 *     returns the int64 value underlying scalar numpy timedelta64 object
*/

static CYTHON_INLINE npy_timedelta __pyx_f_5numpy_get_timedelta64_value(PyObject *__pyx_v_obj) {
  npy_timedelta __pyx_r;

  /* "../../../tmp/build-env-ehhb37m2/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":1069
 *     returns the int64 value underlying scalar numpy timedelta64 object
 *     """
 *     return (<PyTimedeltaScalarObject*>obj).obval             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __pyx_r = ((PyTimedeltaScalarObject *)__pyx_v_obj)->obval;
  goto __pyx_L0;

  /* "../../../tmp/build-env-ehhb37m2/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":1065
 * 
 * 
 * cdef inline npy_timedelta get_timedelta64_value(object obj) noexcept nogil:             # <<<<<<<<<<<<<<
 *     """
 *     returns the int64 value underlying scalar numpy timedelta64 object
*/

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "../../../tmp/build-env-ehhb37m2/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":1072
 * 
 * 
 * cdef inline NPY_DATETIMEUNIT get_datetime64_unit(object obj) noexcept nogil:             # <<<<<<<<<<<<<<
 *     """
 *     returns the unit part of the dtype for a numpy datetime64 object.
*/

static CYTHON_INLINE NPY_DATETIMEUNIT __pyx_f_5numpy_get_datetime64_unit(PyObject *__pyx_v_obj) {
  NPY_DATETIMEUNIT __pyx_r;

  /* "../../../tmp/build-env-ehhb37m2/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":1076
 *     returns the unit part of the dtype for a numpy datetime64 object.
 *     """
 *     return <NPY_DATETIMEUNIT>(<PyDatetimeScalarObject*>obj).obmeta.base             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __pyx_r = ((NPY_DATETIMEUNIT)((PyDatetimeScalarObject *)__pyx_v_obj)->obmeta.base);
  goto __pyx_L0;

  /* "../../../tmp/build-env-ehhb37m2/lib/python3.12/site-packages/numpy/__init__.cython-30.pxd":1072
 * 
 * 
 * cdef inline NPY_DATETIMEUNIT get_datetime64_unit(object obj) noexcept nogil:             # <<<<<<<<<<<<<<
 *     """
 *     returns the unit part of the dtype for a numpy datetime64 object.
*/

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "statsmodels/src/math.pxd":15
 * 
 * 
 * cdef inline np.float64_t zabs(np.complex128_t z) noexcept nogil:             # <<<<<<<<<<<<<<
 *     cdef double_complex x
 *     memcpy(&x, &z, sizeof(z))
*/

static CYTHON_INLINE __pyx_t_5numpy_float64_t __pyx_f_11statsmodels_3src_4math_zabs(__pyx_t_double_complex __pyx_v_z) {
  double_complex __pyx_v_x;
  __pyx_t_5numpy_float64_t __pyx_r;

  /* "statsmodels/src/math.pxd":17
 * cdef inline np.float64_t zabs(np.complex128_t z) noexcept nogil:
 *     cdef double_complex x
 *     memcpy(&x, &z, sizeof(z))             # <<<<<<<<<<<<<<
 *     return sm_cabs(x)
 * 
*/
  (void)(memcpy((&__pyx_v_x), (&__pyx_v_z), (sizeof(__pyx_v_z))));

  /* "statsmodels/src/math.pxd":18
 *     cdef double_complex x
 *     memcpy(&x, &z, sizeof(z))
 *     return sm_cabs(x)             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __pyx_r = sm_cabs(__pyx_v_x);
  goto __pyx_L0;

  /* "statsmodels/src/math.pxd":15
 * 
 * 
 * cdef inline np.float64_t zabs(np.complex128_t z) noexcept nogil:             # <<<<<<<<<<<<<<
 *     cdef double_complex x
 *     memcpy(&x, &z, sizeof(z))
*/

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "statsmodels/src/math.pxd":21
 * 
 * 
 * cdef inline np.complex128_t zlog(np.complex128_t z) noexcept nogil:             # <<<<<<<<<<<<<<
 *     cdef double_complex x
 *     cdef np.complex128_t out
*/

static CYTHON_INLINE __pyx_t_double_complex __pyx_f_11statsmodels_3src_4math_zlog(__pyx_t_double_complex __pyx_v_z) {
  double_complex __pyx_v_x;
  __pyx_t_double_complex __pyx_v_out;
  __pyx_t_double_complex __pyx_r;

  /* "statsmodels/src/math.pxd":24
 *     cdef double_complex x
 *     cdef np.complex128_t out
 *     memcpy(&x, &z, sizeof(z))             # <<<<<<<<<<<<<<
 *     x = sm_clog(x)
 *     memcpy(&out, &x, sizeof(x))
*/
  (void)(memcpy((&__pyx_v_x), (&__pyx_v_z), (sizeof(__pyx_v_z))));

  /* "statsmodels/src/math.pxd":25
 *     cdef np.complex128_t out
 *     memcpy(&x, &z, sizeof(z))
 *     x = sm_clog(x)             # <<<<<<<<<<<<<<
 *     memcpy(&out, &x, sizeof(x))
 *     return out
*/
  __pyx_v_x = sm_clog(__pyx_v_x);

  /* "statsmodels/src/math.pxd":26
 *     memcpy(&x, &z, sizeof(z))
 *     x = sm_clog(x)
 *     memcpy(&out, &x, sizeof(x))             # <<<<<<<<<<<<<<
 *     return out
 * 
*/
  (void)(memcpy((&__pyx_v_out), (&__pyx_v_x), (sizeof(__pyx_v_x))));

  /* "statsmodels/src/math.pxd":27
 *     x = sm_clog(x)
 *     memcpy(&out, &x, sizeof(x))
 *     return out             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __pyx_r = __pyx_v_out;
  goto __pyx_L0;

  /* "statsmodels/src/math.pxd":21
 * 
 * 
 * cdef inline np.complex128_t zlog(np.complex128_t z) noexcept nogil:             # <<<<<<<<<<<<<<
 *     cdef double_complex x
 *     cdef np.complex128_t out
*/

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "statsmodels/src/math.pxd":30
 * 
 * 
 * cdef inline np.complex128_t zexp(np.complex128_t z) noexcept nogil:             # <<<<<<<<<<<<<<
 *     cdef double_complex x
 *     cdef np.complex128_t out
*/

static CYTHON_INLINE __pyx_t_double_complex __pyx_f_11statsmodels_3src_4math_zexp(__pyx_t_double_complex __pyx_v_z) {
  double_complex __pyx_v_x;
  __pyx_t_double_complex __pyx_v_out;
  __pyx_t_double_complex __pyx_r;

  /* "statsmodels/src/math.pxd":33
 *     cdef double_complex x
 *     cdef np.complex128_t out
 *     memcpy(&x, &z, sizeof(z))             # <<<<<<<<<<<<<<
 *     x = sm_cexp(x)
 *     memcpy(&out, &x, sizeof(x))
*/
  (void)(memcpy((&__pyx_v_x), (&__pyx_v_z), (sizeof(__pyx_v_z))));

  /* "statsmodels/src/math.pxd":34
 *     cdef np.complex128_t out
 *     memcpy(&x, &z, sizeof(z))
 *     x = sm_cexp(x)             # <<<<<<<<<<<<<<
 *     memcpy(&out, &x, sizeof(x))
 *     return out
*/
  __pyx_v_x = sm_cexp(__pyx_v_x);

  /* "statsmodels/src/math.pxd":35
 *     memcpy(&x, &z, sizeof(z))
 *     x = sm_cexp(x)
 *     memcpy(&out, &x, sizeof(x))             # <<<<<<<<<<<<<<
 *     return out
*/
  (void)(memcpy((&__pyx_v_out), (&__pyx_v_x), (sizeof(__pyx_v_x))));

  /* "statsmodels/src/math.pxd":36
 *     x = sm_cexp(x)
 *     memcpy(&out, &x, sizeof(x))
 *     return out             # <<<<<<<<<<<<<<
*/
  __pyx_r = __pyx_v_out;
  goto __pyx_L0;

  /* "statsmodels/src/math.pxd":30
 * 
 * 
 * cdef inline np.complex128_t zexp(np.complex128_t z) noexcept nogil:             # <<<<<<<<<<<<<<
 *     cdef double_complex x
 *     cdef np.complex128_t out
*/

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":32
 * # See Durbin and Koopman (2012) Chapter 6.4
 * 
 * cdef int sforecast_univariate_diffuse(sKalmanFilter kfilter, sStatespace model):             # <<<<<<<<<<<<<<
 *     # Constants
 *     cdef:
*/

static int __pyx_f_11statsmodels_3tsa_10statespace_8_filters_19_univariate_diffuse_sforecast_univariate_diffuse(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_sKalmanFilter *__pyx_v_kfilter, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_sStatespace *__pyx_v_model) {
  int __pyx_v_i;
  int __pyx_v_j;
  int __pyx_v_inc;
  __pyx_t_5numpy_float32_t __pyx_v_forecast_error_cov;
  __pyx_t_5numpy_float32_t __pyx_v_forecast_error_cov_inv;
  __pyx_t_5numpy_float32_t __pyx_v_forecast_error_diffuse_cov;
  __pyx_t_5numpy_float32_t __pyx_v_forecast_error_diffuse_cov_inv;
  __pyx_t_5numpy_float32_t __pyx_v_F1;
  __pyx_t_5numpy_float32_t __pyx_v_F12;
  __pyx_t_5numpy_float32_t __pyx_v_alpha;
  __pyx_t_5numpy_float32_t __pyx_v_beta;
  __pyx_t_5numpy_float32_t __pyx_v_gamma;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  __pyx_t_5numpy_float32_t __pyx_t_4;
  int __pyx_t_5;
  int __pyx_t_6;
  int __pyx_t_7;
  int __pyx_t_8;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":36
 *     cdef:
 *         int i, j, k
 *         int inc = 1             # <<<<<<<<<<<<<<
 *         np.float32_t forecast_error_cov, forecast_error_cov_inv, forecast_error_diffuse_cov, forecast_error_diffuse_cov_inv, F1, F12
 *         np.float32_t alpha = 1.0
*/
  __pyx_v_inc = 1;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":38
 *         int inc = 1
 *         np.float32_t forecast_error_cov, forecast_error_cov_inv, forecast_error_diffuse_cov, forecast_error_diffuse_cov_inv, F1, F12
 *         np.float32_t alpha = 1.0             # <<<<<<<<<<<<<<
 *         np.float32_t beta = 0.0
 *         np.float32_t gamma = -1.0
*/
  __pyx_v_alpha = 1.0;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":39
 *         np.float32_t forecast_error_cov, forecast_error_cov_inv, forecast_error_diffuse_cov, forecast_error_diffuse_cov_inv, F1, F12
 *         np.float32_t alpha = 1.0
 *         np.float32_t beta = 0.0             # <<<<<<<<<<<<<<
 *         np.float32_t gamma = -1.0
 * 
*/
  __pyx_v_beta = 0.0;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":40
 *         np.float32_t alpha = 1.0
 *         np.float32_t beta = 0.0
 *         np.float32_t gamma = -1.0             # <<<<<<<<<<<<<<
 * 
 *     # Initialize the filtered states
*/
  __pyx_v_gamma = -1.0;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":43
 * 
 *     # Initialize the filtered states
 *     blas.scopy(&kfilter.k_states, kfilter._input_state, &inc,             # <<<<<<<<<<<<<<
 *                                            kfilter._filtered_state, &inc)
 *     blas.scopy(&kfilter.k_states2, kfilter._input_state_cov, &inc,
*/
  __pyx_f_5scipy_6linalg_11cython_blas_scopy((&__pyx_v_kfilter->k_states), __pyx_v_kfilter->_input_state, (&__pyx_v_inc), __pyx_v_kfilter->_filtered_state, (&__pyx_v_inc));

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":45
 *     blas.scopy(&kfilter.k_states, kfilter._input_state, &inc,
 *                                            kfilter._filtered_state, &inc)
 *     blas.scopy(&kfilter.k_states2, kfilter._input_state_cov, &inc,             # <<<<<<<<<<<<<<
 *                                             kfilter._filtered_state_cov, &inc)
 *     blas.scopy(&kfilter.k_states2, kfilter._input_diffuse_state_cov, &inc,
*/
  __pyx_f_5scipy_6linalg_11cython_blas_scopy((&__pyx_v_kfilter->k_states2), __pyx_v_kfilter->_input_state_cov, (&__pyx_v_inc), __pyx_v_kfilter->_filtered_state_cov, (&__pyx_v_inc));

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":47
 *     blas.scopy(&kfilter.k_states2, kfilter._input_state_cov, &inc,
 *                                             kfilter._filtered_state_cov, &inc)
 *     blas.scopy(&kfilter.k_states2, kfilter._input_diffuse_state_cov, &inc,             # <<<<<<<<<<<<<<
 *                                             kfilter._predicted_diffuse_state_cov, &inc)
 * 
*/
  __pyx_f_5scipy_6linalg_11cython_blas_scopy((&__pyx_v_kfilter->k_states2), __pyx_v_kfilter->_input_diffuse_state_cov, (&__pyx_v_inc), __pyx_v_kfilter->_predicted_diffuse_state_cov, (&__pyx_v_inc));

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":51
 * 
 *     # Iterate over endogenous variables
 *     for i in range(model._k_endog):             # <<<<<<<<<<<<<<
 *         # forecast_t, v_t,
 *         sforecast_error(kfilter, model, i)
*/
  __pyx_t_1 = __pyx_v_model->_k_endog;
  __pyx_t_2 = __pyx_t_1;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":53
 *     for i in range(model._k_endog):
 *         # forecast_t, v_t,
 *         sforecast_error(kfilter, model, i)             # <<<<<<<<<<<<<<
 * 
 *         # F_{*,t}
*/
    __pyx_f_11statsmodels_3tsa_10statespace_8_filters_11_univariate_sforecast_error(__pyx_v_kfilter, __pyx_v_model, __pyx_v_i); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 53, __pyx_L1_error)

    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":56
 * 
 *         # F_{*,t}
 *         forecast_error_cov = sforecast_error_cov(kfilter, model, i)             # <<<<<<<<<<<<<<
 *         if forecast_error_cov < 0:
 *             kfilter._forecast_error_cov[i + i*kfilter.k_endog] = 0
*/
    __pyx_t_4 = __pyx_f_11statsmodels_3tsa_10statespace_8_filters_11_univariate_sforecast_error_cov(__pyx_v_kfilter, __pyx_v_model, __pyx_v_i); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 56, __pyx_L1_error)
    __pyx_v_forecast_error_cov = __pyx_t_4;

    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":57
 *         # F_{*,t}
 *         forecast_error_cov = sforecast_error_cov(kfilter, model, i)
 *         if forecast_error_cov < 0:             # <<<<<<<<<<<<<<
 *             kfilter._forecast_error_cov[i + i*kfilter.k_endog] = 0
 *             forecast_error_cov = 0
*/
    __pyx_t_5 = (__pyx_v_forecast_error_cov < 0.0);
    if (__pyx_t_5) {

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":58
 *         forecast_error_cov = sforecast_error_cov(kfilter, model, i)
 *         if forecast_error_cov < 0:
 *             kfilter._forecast_error_cov[i + i*kfilter.k_endog] = 0             # <<<<<<<<<<<<<<
 *             forecast_error_cov = 0
 * 
*/
      (__pyx_v_kfilter->_forecast_error_cov[(__pyx_v_i + (__pyx_v_i * __pyx_v_kfilter->k_endog))]) = 0.0;

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":59
 *         if forecast_error_cov < 0:
 *             kfilter._forecast_error_cov[i + i*kfilter.k_endog] = 0
 *             forecast_error_cov = 0             # <<<<<<<<<<<<<<
 * 
 *         # Save temporary array data
*/
      __pyx_v_forecast_error_cov = 0.0;

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":57
 *         # F_{*,t}
 *         forecast_error_cov = sforecast_error_cov(kfilter, model, i)
 *         if forecast_error_cov < 0:             # <<<<<<<<<<<<<<
 *             kfilter._forecast_error_cov[i + i*kfilter.k_endog] = 0
 *             forecast_error_cov = 0
*/
    }

    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":62
 * 
 *         # Save temporary array data
 *         if not forecast_error_cov == 0:             # <<<<<<<<<<<<<<
 *             forecast_error_cov_inv = 1.0 / forecast_error_cov
 *             stemp_arrays(kfilter, model, i, forecast_error_cov_inv)
*/
    __pyx_t_5 = (!(__pyx_v_forecast_error_cov == 0.0));
    if (__pyx_t_5) {

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":63
 *         # Save temporary array data
 *         if not forecast_error_cov == 0:
 *             forecast_error_cov_inv = 1.0 / forecast_error_cov             # <<<<<<<<<<<<<<
 *             stemp_arrays(kfilter, model, i, forecast_error_cov_inv)
 * 
*/
      if (unlikely(__pyx_v_forecast_error_cov == 0)) {
        PyErr_SetString(PyExc_ZeroDivisionError, "float division");
        __PYX_ERR(0, 63, __pyx_L1_error)
      }
      __pyx_v_forecast_error_cov_inv = (1.0 / ((double)__pyx_v_forecast_error_cov));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":64
 *         if not forecast_error_cov == 0:
 *             forecast_error_cov_inv = 1.0 / forecast_error_cov
 *             stemp_arrays(kfilter, model, i, forecast_error_cov_inv)             # <<<<<<<<<<<<<<
 * 
 *         # F_{\infty,t}
*/
      __pyx_f_11statsmodels_3tsa_10statespace_8_filters_11_univariate_stemp_arrays(__pyx_v_kfilter, __pyx_v_model, __pyx_v_i, __pyx_v_forecast_error_cov_inv); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 64, __pyx_L1_error)

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":62
 * 
 *         # Save temporary array data
 *         if not forecast_error_cov == 0:             # <<<<<<<<<<<<<<
 *             forecast_error_cov_inv = 1.0 / forecast_error_cov
 *             stemp_arrays(kfilter, model, i, forecast_error_cov_inv)
*/
    }

    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":67
 * 
 *         # F_{\infty,t}
 *         forecast_error_diffuse_cov = sforecast_error_diffuse_cov(kfilter, model, i)             # <<<<<<<<<<<<<<
 *         if forecast_error_diffuse_cov < 0:
 *             kfilter._forecast_error_diffuse_cov[i + i*kfilter.k_endog] = 0
*/
    __pyx_t_4 = __pyx_f_11statsmodels_3tsa_10statespace_8_filters_19_univariate_diffuse_sforecast_error_diffuse_cov(__pyx_v_kfilter, __pyx_v_model, __pyx_v_i); if (unlikely(__pyx_t_4 == ((__pyx_t_5numpy_float32_t)-1) && PyErr_Occurred())) __PYX_ERR(0, 67, __pyx_L1_error)
    __pyx_v_forecast_error_diffuse_cov = __pyx_t_4;

    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":68
 *         # F_{\infty,t}
 *         forecast_error_diffuse_cov = sforecast_error_diffuse_cov(kfilter, model, i)
 *         if forecast_error_diffuse_cov < 0:             # <<<<<<<<<<<<<<
 *             kfilter._forecast_error_diffuse_cov[i + i*kfilter.k_endog] = 0
 *             forecast_error_diffuse_cov = 0
*/
    __pyx_t_5 = (__pyx_v_forecast_error_diffuse_cov < 0.0);
    if (__pyx_t_5) {

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":69
 *         forecast_error_diffuse_cov = sforecast_error_diffuse_cov(kfilter, model, i)
 *         if forecast_error_diffuse_cov < 0:
 *             kfilter._forecast_error_diffuse_cov[i + i*kfilter.k_endog] = 0             # <<<<<<<<<<<<<<
 *             forecast_error_diffuse_cov = 0
 * 
*/
      (__pyx_v_kfilter->_forecast_error_diffuse_cov[(__pyx_v_i + (__pyx_v_i * __pyx_v_kfilter->k_endog))]) = 0.0;

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":70
 *         if forecast_error_diffuse_cov < 0:
 *             kfilter._forecast_error_diffuse_cov[i + i*kfilter.k_endog] = 0
 *             forecast_error_diffuse_cov = 0             # <<<<<<<<<<<<<<
 * 
 *         # F_{\infty, i, i, t} > 0
*/
      __pyx_v_forecast_error_diffuse_cov = 0.0;

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":68
 *         # F_{\infty,t}
 *         forecast_error_diffuse_cov = sforecast_error_diffuse_cov(kfilter, model, i)
 *         if forecast_error_diffuse_cov < 0:             # <<<<<<<<<<<<<<
 *             kfilter._forecast_error_diffuse_cov[i + i*kfilter.k_endog] = 0
 *             forecast_error_diffuse_cov = 0
*/
    }

    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":73
 * 
 *         # F_{\infty, i, i, t} > 0
 *         if forecast_error_diffuse_cov > kfilter.tolerance_diffuse:             # <<<<<<<<<<<<<<
 *             forecast_error_diffuse_cov_inv = 1.0 / forecast_error_diffuse_cov
 * 
*/
    __pyx_t_5 = (__pyx_v_forecast_error_diffuse_cov > __pyx_v_kfilter->tolerance_diffuse);
    if (__pyx_t_5) {

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":74
 *         # F_{\infty, i, i, t} > 0
 *         if forecast_error_diffuse_cov > kfilter.tolerance_diffuse:
 *             forecast_error_diffuse_cov_inv = 1.0 / forecast_error_diffuse_cov             # <<<<<<<<<<<<<<
 * 
 *             F1 = forecast_error_diffuse_cov_inv
*/
      if (unlikely(__pyx_v_forecast_error_diffuse_cov == 0)) {
        PyErr_SetString(PyExc_ZeroDivisionError, "float division");
        __PYX_ERR(0, 74, __pyx_L1_error)
      }
      __pyx_v_forecast_error_diffuse_cov_inv = (1.0 / ((double)__pyx_v_forecast_error_diffuse_cov));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":76
 *             forecast_error_diffuse_cov_inv = 1.0 / forecast_error_diffuse_cov
 * 
 *             F1 = forecast_error_diffuse_cov_inv             # <<<<<<<<<<<<<<
 *             # Usually F2 = -forecast_error_cov * forecast_error_diffuse_cov_inv**2
 *             # but this version is more convenient for the *axpy call
*/
      __pyx_v_F1 = __pyx_v_forecast_error_diffuse_cov_inv;

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":79
 *             # Usually F2 = -forecast_error_cov * forecast_error_diffuse_cov_inv**2
 *             # but this version is more convenient for the *axpy call
 *             F12 = -forecast_error_cov * forecast_error_diffuse_cov_inv             # <<<<<<<<<<<<<<
 * 
 *             # K0 = M_inf[:, i:i+1] * F1
*/
      __pyx_v_F12 = ((-__pyx_v_forecast_error_cov) * __pyx_v_forecast_error_diffuse_cov_inv);

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":82
 * 
 *             # K0 = M_inf[:, i:i+1] * F1
 *             blas.scopy(&kfilter.k_states, &kfilter._M_inf[i * kfilter.k_states], &inc, kfilter._tmpK0, &inc)             # <<<<<<<<<<<<<<
 *             blas.sscal(&kfilter.k_states, &F1, kfilter._tmpK0, &inc)
 *             # K1 = M[:, i:i+1] * F1 + M_inf[:, i:i+1] * F2
*/
      __pyx_f_5scipy_6linalg_11cython_blas_scopy((&__pyx_v_kfilter->k_states), (&(__pyx_v_kfilter->_M_inf[(__pyx_v_i * __pyx_v_kfilter->k_states)])), (&__pyx_v_inc), __pyx_v_kfilter->_tmpK0, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":83
 *             # K0 = M_inf[:, i:i+1] * F1
 *             blas.scopy(&kfilter.k_states, &kfilter._M_inf[i * kfilter.k_states], &inc, kfilter._tmpK0, &inc)
 *             blas.sscal(&kfilter.k_states, &F1, kfilter._tmpK0, &inc)             # <<<<<<<<<<<<<<
 *             # K1 = M[:, i:i+1] * F1 + M_inf[:, i:i+1] * F2
 *             # K1 = M[:, i:i+1] * F1 + K0 * F12
*/
      __pyx_f_5scipy_6linalg_11cython_blas_sscal((&__pyx_v_kfilter->k_states), (&__pyx_v_F1), __pyx_v_kfilter->_tmpK0, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":86
 *             # K1 = M[:, i:i+1] * F1 + M_inf[:, i:i+1] * F2
 *             # K1 = M[:, i:i+1] * F1 + K0 * F12
 *             blas.scopy(&kfilter.k_states, &kfilter._M[i*kfilter.k_states], &inc, kfilter._tmpK1, &inc)             # <<<<<<<<<<<<<<
 *             blas.sscal(&kfilter.k_states, &F1, kfilter._tmpK1, &inc)
 *             blas.saxpy(&kfilter.k_states, &F12, kfilter._tmpK0, &inc, kfilter._tmpK1, &inc)
*/
      __pyx_f_5scipy_6linalg_11cython_blas_scopy((&__pyx_v_kfilter->k_states), (&(__pyx_v_kfilter->_M[(__pyx_v_i * __pyx_v_kfilter->k_states)])), (&__pyx_v_inc), __pyx_v_kfilter->_tmpK1, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":87
 *             # K1 = M[:, i:i+1] * F1 + K0 * F12
 *             blas.scopy(&kfilter.k_states, &kfilter._M[i*kfilter.k_states], &inc, kfilter._tmpK1, &inc)
 *             blas.sscal(&kfilter.k_states, &F1, kfilter._tmpK1, &inc)             # <<<<<<<<<<<<<<
 *             blas.saxpy(&kfilter.k_states, &F12, kfilter._tmpK0, &inc, kfilter._tmpK1, &inc)
 *             # L0 = np.eye(m) - np.dot(K0, Zi)
*/
      __pyx_f_5scipy_6linalg_11cython_blas_sscal((&__pyx_v_kfilter->k_states), (&__pyx_v_F1), __pyx_v_kfilter->_tmpK1, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":88
 *             blas.scopy(&kfilter.k_states, &kfilter._M[i*kfilter.k_states], &inc, kfilter._tmpK1, &inc)
 *             blas.sscal(&kfilter.k_states, &F1, kfilter._tmpK1, &inc)
 *             blas.saxpy(&kfilter.k_states, &F12, kfilter._tmpK0, &inc, kfilter._tmpK1, &inc)             # <<<<<<<<<<<<<<
 *             # L0 = np.eye(m) - np.dot(K0, Zi)
 *             kfilter.tmpL0[:] = 0
*/
      __pyx_f_5scipy_6linalg_11cython_blas_saxpy((&__pyx_v_kfilter->k_states), (&__pyx_v_F12), __pyx_v_kfilter->_tmpK0, (&__pyx_v_inc), __pyx_v_kfilter->_tmpK1, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":90
 *             blas.saxpy(&kfilter.k_states, &F12, kfilter._tmpK0, &inc, kfilter._tmpK1, &inc)
 *             # L0 = np.eye(m) - np.dot(K0, Zi)
 *             kfilter.tmpL0[:] = 0             # <<<<<<<<<<<<<<
 *             blas.sger(&model._k_states, &model._k_states, &gamma, kfilter._tmpK0, &inc, &model._design[i], &model._k_endog, kfilter._tmpL0, &kfilter.k_states)
 *             for j in range(kfilter.k_states):
*/
      if (unlikely(!__pyx_v_kfilter->tmpL0.memview)) {PyErr_SetString(PyExc_AttributeError,"Memoryview is not initialized");__PYX_ERR(0, 90, __pyx_L1_error)}
      {
          __pyx_t_5numpy_float32_t __pyx_temp_scalar = 0.0;
          {
              Py_ssize_t __pyx_temp_extent = __pyx_v_kfilter->tmpL0.shape[0] * __pyx_v_kfilter->tmpL0.shape[1];
              Py_ssize_t __pyx_temp_idx;
              __pyx_t_5numpy_float32_t *__pyx_temp_pointer = (__pyx_t_5numpy_float32_t *) __pyx_v_kfilter->tmpL0.data;
              for (__pyx_temp_idx = 0; __pyx_temp_idx < __pyx_temp_extent; __pyx_temp_idx++) {
                *((__pyx_t_5numpy_float32_t *) __pyx_temp_pointer) = __pyx_temp_scalar;
                __pyx_temp_pointer += 1;
              }
          }
      }

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":91
 *             # L0 = np.eye(m) - np.dot(K0, Zi)
 *             kfilter.tmpL0[:] = 0
 *             blas.sger(&model._k_states, &model._k_states, &gamma, kfilter._tmpK0, &inc, &model._design[i], &model._k_endog, kfilter._tmpL0, &kfilter.k_states)             # <<<<<<<<<<<<<<
 *             for j in range(kfilter.k_states):
 *                 kfilter._tmpL0[j + j*kfilter.k_states] = kfilter._tmpL0[j + j*kfilter.k_states] + 1
*/
      __pyx_f_5scipy_6linalg_11cython_blas_sger((&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_gamma), __pyx_v_kfilter->_tmpK0, (&__pyx_v_inc), (&(__pyx_v_model->_design[__pyx_v_i])), (&__pyx_v_model->_k_endog), __pyx_v_kfilter->_tmpL0, (&__pyx_v_kfilter->k_states));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":92
 *             kfilter.tmpL0[:] = 0
 *             blas.sger(&model._k_states, &model._k_states, &gamma, kfilter._tmpK0, &inc, &model._design[i], &model._k_endog, kfilter._tmpL0, &kfilter.k_states)
 *             for j in range(kfilter.k_states):             # <<<<<<<<<<<<<<
 *                 kfilter._tmpL0[j + j*kfilter.k_states] = kfilter._tmpL0[j + j*kfilter.k_states] + 1
 *             # L1 = -np.dot(K1, Zi)
*/
      __pyx_t_6 = __pyx_v_kfilter->k_states;
      __pyx_t_7 = __pyx_t_6;
      for (__pyx_t_8 = 0; __pyx_t_8 < __pyx_t_7; __pyx_t_8+=1) {
        __pyx_v_j = __pyx_t_8;

        /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":93
 *             blas.sger(&model._k_states, &model._k_states, &gamma, kfilter._tmpK0, &inc, &model._design[i], &model._k_endog, kfilter._tmpL0, &kfilter.k_states)
 *             for j in range(kfilter.k_states):
 *                 kfilter._tmpL0[j + j*kfilter.k_states] = kfilter._tmpL0[j + j*kfilter.k_states] + 1             # <<<<<<<<<<<<<<
 *             # L1 = -np.dot(K1, Zi)
 *             kfilter.tmpL1[:] = 0
*/
        (__pyx_v_kfilter->_tmpL0[(__pyx_v_j + (__pyx_v_j * __pyx_v_kfilter->k_states))]) = ((__pyx_v_kfilter->_tmpL0[(__pyx_v_j + (__pyx_v_j * __pyx_v_kfilter->k_states))]) + 1.0);
      }

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":95
 *                 kfilter._tmpL0[j + j*kfilter.k_states] = kfilter._tmpL0[j + j*kfilter.k_states] + 1
 *             # L1 = -np.dot(K1, Zi)
 *             kfilter.tmpL1[:] = 0             # <<<<<<<<<<<<<<
 *             blas.sger(&model._k_states, &model._k_states, &gamma, kfilter._tmpK1, &inc, &model._design[i], &model._k_endog, kfilter._tmpL1, &kfilter.k_states)
 * 
*/
      if (unlikely(!__pyx_v_kfilter->tmpL1.memview)) {PyErr_SetString(PyExc_AttributeError,"Memoryview is not initialized");__PYX_ERR(0, 95, __pyx_L1_error)}
      {
          __pyx_t_5numpy_float32_t __pyx_temp_scalar = 0.0;
          {
              Py_ssize_t __pyx_temp_extent = __pyx_v_kfilter->tmpL1.shape[0] * __pyx_v_kfilter->tmpL1.shape[1];
              Py_ssize_t __pyx_temp_idx;
              __pyx_t_5numpy_float32_t *__pyx_temp_pointer = (__pyx_t_5numpy_float32_t *) __pyx_v_kfilter->tmpL1.data;
              for (__pyx_temp_idx = 0; __pyx_temp_idx < __pyx_temp_extent; __pyx_temp_idx++) {
                *((__pyx_t_5numpy_float32_t *) __pyx_temp_pointer) = __pyx_temp_scalar;
                __pyx_temp_pointer += 1;
              }
          }
      }

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":96
 *             # L1 = -np.dot(K1, Zi)
 *             kfilter.tmpL1[:] = 0
 *             blas.sger(&model._k_states, &model._k_states, &gamma, kfilter._tmpK1, &inc, &model._design[i], &model._k_endog, kfilter._tmpL1, &kfilter.k_states)             # <<<<<<<<<<<<<<
 * 
 *             # a_t = a_t + K0[:, 0] * v[i]
*/
      __pyx_f_5scipy_6linalg_11cython_blas_sger((&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_gamma), __pyx_v_kfilter->_tmpK1, (&__pyx_v_inc), (&(__pyx_v_model->_design[__pyx_v_i])), (&__pyx_v_model->_k_endog), __pyx_v_kfilter->_tmpL1, (&__pyx_v_kfilter->k_states));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":99
 * 
 *             # a_t = a_t + K0[:, 0] * v[i]
 *             blas.saxpy(&kfilter.k_states, &kfilter._forecast_error[i], kfilter._tmpK0, &inc, kfilter._filtered_state, &inc)             # <<<<<<<<<<<<<<
 * 
 *             # P_t = np.dot(P_t_inf, L1.T) + np.dot(P_t, L0.T)
*/
      __pyx_f_5scipy_6linalg_11cython_blas_saxpy((&__pyx_v_kfilter->k_states), (&(__pyx_v_kfilter->_forecast_error[__pyx_v_i])), __pyx_v_kfilter->_tmpK0, (&__pyx_v_inc), __pyx_v_kfilter->_filtered_state, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":103
 *             # P_t = np.dot(P_t_inf, L1.T) + np.dot(P_t, L0.T)
 *             # `tmp0` array used here, dimension $(m \times m)$
 *             blas.scopy(&kfilter.k_states2, kfilter._filtered_state_cov, &inc, kfilter._tmp0, &inc)             # <<<<<<<<<<<<<<
 *             blas.sgemm("N", "T", &model._k_states, &model._k_states, &model._k_states,
 *               &alpha, kfilter._tmp0, &kfilter.k_states,
*/
      __pyx_f_5scipy_6linalg_11cython_blas_scopy((&__pyx_v_kfilter->k_states2), __pyx_v_kfilter->_filtered_state_cov, (&__pyx_v_inc), __pyx_v_kfilter->_tmp0, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":104
 *             # `tmp0` array used here, dimension $(m \times m)$
 *             blas.scopy(&kfilter.k_states2, kfilter._filtered_state_cov, &inc, kfilter._tmp0, &inc)
 *             blas.sgemm("N", "T", &model._k_states, &model._k_states, &model._k_states,             # <<<<<<<<<<<<<<
 *               &alpha, kfilter._tmp0, &kfilter.k_states,
 *                       kfilter._tmpL0, &kfilter.k_states,
*/
      __pyx_f_5scipy_6linalg_11cython_blas_sgemm(((char *)"N"), ((char *)"T"), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_alpha), __pyx_v_kfilter->_tmp0, (&__pyx_v_kfilter->k_states), __pyx_v_kfilter->_tmpL0, (&__pyx_v_kfilter->k_states), (&__pyx_v_beta), __pyx_v_kfilter->_filtered_state_cov, (&__pyx_v_kfilter->k_states));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":108
 *                       kfilter._tmpL0, &kfilter.k_states,
 *               &beta, kfilter._filtered_state_cov, &kfilter.k_states)
 *             blas.sgemm("N", "T", &model._k_states, &model._k_states, &model._k_states,             # <<<<<<<<<<<<<<
 *               &alpha, kfilter._predicted_diffuse_state_cov, &kfilter.k_states,
 *                       kfilter._tmpL1, &kfilter.k_states,
*/
      __pyx_f_5scipy_6linalg_11cython_blas_sgemm(((char *)"N"), ((char *)"T"), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_alpha), __pyx_v_kfilter->_predicted_diffuse_state_cov, (&__pyx_v_kfilter->k_states), __pyx_v_kfilter->_tmpL1, (&__pyx_v_kfilter->k_states), (&__pyx_v_alpha), __pyx_v_kfilter->_filtered_state_cov, (&__pyx_v_kfilter->k_states));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":113
 *               &alpha, kfilter._filtered_state_cov, &kfilter.k_states)
 *             # P_t_inf = np.dot(P_t_inf, L0.T)
 *             blas.scopy(&kfilter.k_states2, kfilter._predicted_diffuse_state_cov, &inc, kfilter._tmp0, &inc)             # <<<<<<<<<<<<<<
 *             blas.sgemm("N", "T", &model._k_states, &model._k_states, &model._k_states,
 *               &alpha, kfilter._tmp0, &kfilter.k_states,
*/
      __pyx_f_5scipy_6linalg_11cython_blas_scopy((&__pyx_v_kfilter->k_states2), __pyx_v_kfilter->_predicted_diffuse_state_cov, (&__pyx_v_inc), __pyx_v_kfilter->_tmp0, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":114
 *             # P_t_inf = np.dot(P_t_inf, L0.T)
 *             blas.scopy(&kfilter.k_states2, kfilter._predicted_diffuse_state_cov, &inc, kfilter._tmp0, &inc)
 *             blas.sgemm("N", "T", &model._k_states, &model._k_states, &model._k_states,             # <<<<<<<<<<<<<<
 *               &alpha, kfilter._tmp0, &kfilter.k_states,
 *                       kfilter._tmpL0, &kfilter.k_states,
*/
      __pyx_f_5scipy_6linalg_11cython_blas_sgemm(((char *)"N"), ((char *)"T"), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_alpha), __pyx_v_kfilter->_tmp0, (&__pyx_v_kfilter->k_states), __pyx_v_kfilter->_tmpL0, (&__pyx_v_kfilter->k_states), (&__pyx_v_beta), __pyx_v_kfilter->_predicted_diffuse_state_cov, (&__pyx_v_kfilter->k_states));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":120
 * 
 *             # Loglikelihood
 *             kfilter._loglikelihood[0] = (             # <<<<<<<<<<<<<<
 *                 kfilter._loglikelihood[0] - 0.5*(
 *                     dlog(2 * M_PI * forecast_error_diffuse_cov)))
*/
      (__pyx_v_kfilter->_loglikelihood[0]) = ((__pyx_v_kfilter->_loglikelihood[0]) - (0.5 * log(((2.0 * M_PI) * __pyx_v_forecast_error_diffuse_cov))));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":73
 * 
 *         # F_{\infty, i, i, t} > 0
 *         if forecast_error_diffuse_cov > kfilter.tolerance_diffuse:             # <<<<<<<<<<<<<<
 *             forecast_error_diffuse_cov_inv = 1.0 / forecast_error_diffuse_cov
 * 
*/
      goto __pyx_L8;
    }

    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":123
 *                 kfilter._loglikelihood[0] - 0.5*(
 *                     dlog(2 * M_PI * forecast_error_diffuse_cov)))
 *         elif forecast_error_cov > kfilter.tolerance_diffuse:             # <<<<<<<<<<<<<<
 *             kfilter.nobs_kendog_diffuse_nonsingular = kfilter.nobs_kendog_diffuse_nonsingular + 1
 *             forecast_error_cov_inv = 1.0 / forecast_error_cov
*/
    __pyx_t_5 = (__pyx_v_forecast_error_cov > __pyx_v_kfilter->tolerance_diffuse);
    if (__pyx_t_5) {

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":124
 *                     dlog(2 * M_PI * forecast_error_diffuse_cov)))
 *         elif forecast_error_cov > kfilter.tolerance_diffuse:
 *             kfilter.nobs_kendog_diffuse_nonsingular = kfilter.nobs_kendog_diffuse_nonsingular + 1             # <<<<<<<<<<<<<<
 *             forecast_error_cov_inv = 1.0 / forecast_error_cov
 * 
*/
      __pyx_v_kfilter->nobs_kendog_diffuse_nonsingular = (__pyx_v_kfilter->nobs_kendog_diffuse_nonsingular + 1);

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":125
 *         elif forecast_error_cov > kfilter.tolerance_diffuse:
 *             kfilter.nobs_kendog_diffuse_nonsingular = kfilter.nobs_kendog_diffuse_nonsingular + 1
 *             forecast_error_cov_inv = 1.0 / forecast_error_cov             # <<<<<<<<<<<<<<
 * 
 *             # Standardized forecasts error
*/
      if (unlikely(__pyx_v_forecast_error_cov == 0)) {
        PyErr_SetString(PyExc_ZeroDivisionError, "float division");
        __PYX_ERR(0, 125, __pyx_L1_error)
      }
      __pyx_v_forecast_error_cov_inv = (1.0 / ((double)__pyx_v_forecast_error_cov));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":128
 * 
 *             # Standardized forecasts error
 *             if not (kfilter.conserve_memory & MEMORY_NO_STD_FORECAST > 0):             # <<<<<<<<<<<<<<
 *                 kfilter._standardized_forecast_error[i] = (
 *                     kfilter._forecast_error[i] * forecast_error_cov_inv**0.5)
*/
      __pyx_t_5 = (!((__pyx_v_kfilter->conserve_memory & __pyx_v_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_NO_STD_FORECAST) > 0));
      if (__pyx_t_5) {

        /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":129
 *             # Standardized forecasts error
 *             if not (kfilter.conserve_memory & MEMORY_NO_STD_FORECAST > 0):
 *                 kfilter._standardized_forecast_error[i] = (             # <<<<<<<<<<<<<<
 *                     kfilter._forecast_error[i] * forecast_error_cov_inv**0.5)
 * 
*/
        (__pyx_v_kfilter->_standardized_forecast_error[__pyx_v_i]) = ((__pyx_v_kfilter->_forecast_error[__pyx_v_i]) * pow(((double)__pyx_v_forecast_error_cov_inv), 0.5));

        /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":128
 * 
 *             # Standardized forecasts error
 *             if not (kfilter.conserve_memory & MEMORY_NO_STD_FORECAST > 0):             # <<<<<<<<<<<<<<
 *                 kfilter._standardized_forecast_error[i] = (
 *                     kfilter._forecast_error[i] * forecast_error_cov_inv**0.5)
*/
      }

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":133
 * 
 *             # K0 = M[:, i:i+1] / F[i, i]
 *             blas.scopy(&kfilter.k_states, &kfilter._M[i*kfilter.k_states], &inc, kfilter._tmpK0, &inc)             # <<<<<<<<<<<<<<
 *             blas.sscal(&kfilter.k_states, &forecast_error_cov_inv, kfilter._tmpK0, &inc)
 * 
*/
      __pyx_f_5scipy_6linalg_11cython_blas_scopy((&__pyx_v_kfilter->k_states), (&(__pyx_v_kfilter->_M[(__pyx_v_i * __pyx_v_kfilter->k_states)])), (&__pyx_v_inc), __pyx_v_kfilter->_tmpK0, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":134
 *             # K0 = M[:, i:i+1] / F[i, i]
 *             blas.scopy(&kfilter.k_states, &kfilter._M[i*kfilter.k_states], &inc, kfilter._tmpK0, &inc)
 *             blas.sscal(&kfilter.k_states, &forecast_error_cov_inv, kfilter._tmpK0, &inc)             # <<<<<<<<<<<<<<
 * 
 *             # L0 = np.eye(m) - np.dot(K0, Zi)
*/
      __pyx_f_5scipy_6linalg_11cython_blas_sscal((&__pyx_v_kfilter->k_states), (&__pyx_v_forecast_error_cov_inv), __pyx_v_kfilter->_tmpK0, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":137
 * 
 *             # L0 = np.eye(m) - np.dot(K0, Zi)
 *             kfilter.tmpL0[:] = 0             # <<<<<<<<<<<<<<
 *             blas.sger(&model._k_states, &model._k_states, &gamma, kfilter._tmpK0, &inc, &model._design[i], &model._k_endog, kfilter._tmpL0, &kfilter.k_states)
 *             for j in range(kfilter.k_states):
*/
      if (unlikely(!__pyx_v_kfilter->tmpL0.memview)) {PyErr_SetString(PyExc_AttributeError,"Memoryview is not initialized");__PYX_ERR(0, 137, __pyx_L1_error)}
      {
          __pyx_t_5numpy_float32_t __pyx_temp_scalar = 0.0;
          {
              Py_ssize_t __pyx_temp_extent = __pyx_v_kfilter->tmpL0.shape[0] * __pyx_v_kfilter->tmpL0.shape[1];
              Py_ssize_t __pyx_temp_idx;
              __pyx_t_5numpy_float32_t *__pyx_temp_pointer = (__pyx_t_5numpy_float32_t *) __pyx_v_kfilter->tmpL0.data;
              for (__pyx_temp_idx = 0; __pyx_temp_idx < __pyx_temp_extent; __pyx_temp_idx++) {
                *((__pyx_t_5numpy_float32_t *) __pyx_temp_pointer) = __pyx_temp_scalar;
                __pyx_temp_pointer += 1;
              }
          }
      }

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":138
 *             # L0 = np.eye(m) - np.dot(K0, Zi)
 *             kfilter.tmpL0[:] = 0
 *             blas.sger(&model._k_states, &model._k_states, &gamma, kfilter._tmpK0, &inc, &model._design[i], &model._k_endog, kfilter._tmpL0, &kfilter.k_states)             # <<<<<<<<<<<<<<
 *             for j in range(kfilter.k_states):
 *                 kfilter._tmpL0[j + j*kfilter.k_states] = kfilter._tmpL0[j + j*kfilter.k_states] + 1
*/
      __pyx_f_5scipy_6linalg_11cython_blas_sger((&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_gamma), __pyx_v_kfilter->_tmpK0, (&__pyx_v_inc), (&(__pyx_v_model->_design[__pyx_v_i])), (&__pyx_v_model->_k_endog), __pyx_v_kfilter->_tmpL0, (&__pyx_v_kfilter->k_states));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":139
 *             kfilter.tmpL0[:] = 0
 *             blas.sger(&model._k_states, &model._k_states, &gamma, kfilter._tmpK0, &inc, &model._design[i], &model._k_endog, kfilter._tmpL0, &kfilter.k_states)
 *             for j in range(kfilter.k_states):             # <<<<<<<<<<<<<<
 *                 kfilter._tmpL0[j + j*kfilter.k_states] = kfilter._tmpL0[j + j*kfilter.k_states] + 1
 * 
*/
      __pyx_t_6 = __pyx_v_kfilter->k_states;
      __pyx_t_7 = __pyx_t_6;
      for (__pyx_t_8 = 0; __pyx_t_8 < __pyx_t_7; __pyx_t_8+=1) {
        __pyx_v_j = __pyx_t_8;

        /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":140
 *             blas.sger(&model._k_states, &model._k_states, &gamma, kfilter._tmpK0, &inc, &model._design[i], &model._k_endog, kfilter._tmpL0, &kfilter.k_states)
 *             for j in range(kfilter.k_states):
 *                 kfilter._tmpL0[j + j*kfilter.k_states] = kfilter._tmpL0[j + j*kfilter.k_states] + 1             # <<<<<<<<<<<<<<
 * 
 *             # a_t = a_t + K0[:, 0] * v[i]
*/
        (__pyx_v_kfilter->_tmpL0[(__pyx_v_j + (__pyx_v_j * __pyx_v_kfilter->k_states))]) = ((__pyx_v_kfilter->_tmpL0[(__pyx_v_j + (__pyx_v_j * __pyx_v_kfilter->k_states))]) + 1.0);
      }

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":143
 * 
 *             # a_t = a_t + K0[:, 0] * v[i]
 *             blas.saxpy(&kfilter.k_states, &kfilter._forecast_error[i], kfilter._tmpK0, &inc, kfilter._filtered_state, &inc)             # <<<<<<<<<<<<<<
 *             # P_t = np.dot(P_t, L0)
 *             blas.scopy(&kfilter.k_states2, kfilter._filtered_state_cov, &inc, kfilter._tmp0, &inc)
*/
      __pyx_f_5scipy_6linalg_11cython_blas_saxpy((&__pyx_v_kfilter->k_states), (&(__pyx_v_kfilter->_forecast_error[__pyx_v_i])), __pyx_v_kfilter->_tmpK0, (&__pyx_v_inc), __pyx_v_kfilter->_filtered_state, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":145
 *             blas.saxpy(&kfilter.k_states, &kfilter._forecast_error[i], kfilter._tmpK0, &inc, kfilter._filtered_state, &inc)
 *             # P_t = np.dot(P_t, L0)
 *             blas.scopy(&kfilter.k_states2, kfilter._filtered_state_cov, &inc, kfilter._tmp0, &inc)             # <<<<<<<<<<<<<<
 *             blas.sgemm("N", "T", &model._k_states, &model._k_states, &model._k_states,
 *               &alpha, kfilter._tmp0, &kfilter.k_states,
*/
      __pyx_f_5scipy_6linalg_11cython_blas_scopy((&__pyx_v_kfilter->k_states2), __pyx_v_kfilter->_filtered_state_cov, (&__pyx_v_inc), __pyx_v_kfilter->_tmp0, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":146
 *             # P_t = np.dot(P_t, L0)
 *             blas.scopy(&kfilter.k_states2, kfilter._filtered_state_cov, &inc, kfilter._tmp0, &inc)
 *             blas.sgemm("N", "T", &model._k_states, &model._k_states, &model._k_states,             # <<<<<<<<<<<<<<
 *               &alpha, kfilter._tmp0, &kfilter.k_states,
 *                       kfilter._tmpL0, &kfilter.k_states,
*/
      __pyx_f_5scipy_6linalg_11cython_blas_sgemm(((char *)"N"), ((char *)"T"), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_alpha), __pyx_v_kfilter->_tmp0, (&__pyx_v_kfilter->k_states), __pyx_v_kfilter->_tmpL0, (&__pyx_v_kfilter->k_states), (&__pyx_v_beta), __pyx_v_kfilter->_filtered_state_cov, (&__pyx_v_kfilter->k_states));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":154
 * 
 *             # Loglikelihood
 *             if not forecast_error_cov == 0:             # <<<<<<<<<<<<<<
 *                 kfilter._loglikelihood[0] = (
 *                     kfilter._loglikelihood[0] - 0.5*(
*/
      __pyx_t_5 = (!(__pyx_v_forecast_error_cov == 0.0));
      if (__pyx_t_5) {

        /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":155
 *             # Loglikelihood
 *             if not forecast_error_cov == 0:
 *                 kfilter._loglikelihood[0] = (             # <<<<<<<<<<<<<<
 *                     kfilter._loglikelihood[0] - 0.5*(
 *                         dlog(2 * M_PI * forecast_error_cov)))
*/
        (__pyx_v_kfilter->_loglikelihood[0]) = ((__pyx_v_kfilter->_loglikelihood[0]) - (0.5 * log(((2.0 * M_PI) * __pyx_v_forecast_error_cov))));

        /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":159
 *                         dlog(2 * M_PI * forecast_error_cov)))
 * 
 *                 if kfilter.filter_method & FILTER_CONCENTRATED:             # <<<<<<<<<<<<<<
 *                     kfilter._scale[0] = kfilter._scale[0] + kfilter._forecast_error[i]**2 * forecast_error_cov_inv
 *                 else:
*/
        __pyx_t_5 = ((__pyx_v_kfilter->filter_method & __pyx_v_11statsmodels_3tsa_10statespace_14_kalman_filter_FILTER_CONCENTRATED) != 0);
        if (__pyx_t_5) {

          /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":160
 * 
 *                 if kfilter.filter_method & FILTER_CONCENTRATED:
 *                     kfilter._scale[0] = kfilter._scale[0] + kfilter._forecast_error[i]**2 * forecast_error_cov_inv             # <<<<<<<<<<<<<<
 *                 else:
 *                     kfilter._loglikelihood[0] = kfilter._loglikelihood[0] - 0.5 * (kfilter._forecast_error[i]**2 * forecast_error_cov_inv)
*/
          (__pyx_v_kfilter->_scale[0]) = ((__pyx_v_kfilter->_scale[0]) + (powf((__pyx_v_kfilter->_forecast_error[__pyx_v_i]), 2.0) * __pyx_v_forecast_error_cov_inv));

          /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":159
 *                         dlog(2 * M_PI * forecast_error_cov)))
 * 
 *                 if kfilter.filter_method & FILTER_CONCENTRATED:             # <<<<<<<<<<<<<<
 *                     kfilter._scale[0] = kfilter._scale[0] + kfilter._forecast_error[i]**2 * forecast_error_cov_inv
 *                 else:
*/
          goto __pyx_L15;
        }

        /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":162
 *                     kfilter._scale[0] = kfilter._scale[0] + kfilter._forecast_error[i]**2 * forecast_error_cov_inv
 *                 else:
 *                     kfilter._loglikelihood[0] = kfilter._loglikelihood[0] - 0.5 * (kfilter._forecast_error[i]**2 * forecast_error_cov_inv)             # <<<<<<<<<<<<<<
 * 
 *         # Kalman gain
*/
        /*else*/ {
          (__pyx_v_kfilter->_loglikelihood[0]) = ((__pyx_v_kfilter->_loglikelihood[0]) - (0.5 * (powf((__pyx_v_kfilter->_forecast_error[__pyx_v_i]), 2.0) * __pyx_v_forecast_error_cov_inv)));
        }
        __pyx_L15:;

        /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":154
 * 
 *             # Loglikelihood
 *             if not forecast_error_cov == 0:             # <<<<<<<<<<<<<<
 *                 kfilter._loglikelihood[0] = (
 *                     kfilter._loglikelihood[0] - 0.5*(
*/
      }

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":123
 *                 kfilter._loglikelihood[0] - 0.5*(
 *                     dlog(2 * M_PI * forecast_error_diffuse_cov)))
 *         elif forecast_error_cov > kfilter.tolerance_diffuse:             # <<<<<<<<<<<<<<
 *             kfilter.nobs_kendog_diffuse_nonsingular = kfilter.nobs_kendog_diffuse_nonsingular + 1
 *             forecast_error_cov_inv = 1.0 / forecast_error_cov
*/
    }
    __pyx_L8:;

    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":165
 * 
 *         # Kalman gain
 *         blas.scopy(&kfilter.k_states, kfilter._tmpK0, &inc, &kfilter._kalman_gain[i * kfilter.k_states], &inc)             # <<<<<<<<<<<<<<
 * 
 *         # Prediction (done below)
*/
    __pyx_f_5scipy_6linalg_11cython_blas_scopy((&__pyx_v_kfilter->k_states), __pyx_v_kfilter->_tmpK0, (&__pyx_v_inc), (&(__pyx_v_kfilter->_kalman_gain[(__pyx_v_i * __pyx_v_kfilter->k_states)])), (&__pyx_v_inc));
  }

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":172
 *         # P_t1_inf[:] = np.dot(np.dot(T, P_t_inf), T.T)
 * 
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __pyx_r = 0;
  goto __pyx_L0;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":32
 * # See Durbin and Koopman (2012) Chapter 6.4
 * 
 * cdef int sforecast_univariate_diffuse(sKalmanFilter kfilter, sStatespace model):             # <<<<<<<<<<<<<<
 *     # Constants
 *     cdef:
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_AddTraceback("statsmodels.tsa.statespace._filters._univariate_diffuse.sforecast_univariate_diffuse", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = -1;
  __pyx_L0:;
  return __pyx_r;
}

/* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":175
 * 
 * 
 * cdef np.float32_t sforecast_error_diffuse_cov(sKalmanFilter kfilter, sStatespace model, int i):             # <<<<<<<<<<<<<<
 *     cdef:
 *         int inc = 1
*/

static __pyx_t_5numpy_float32_t __pyx_f_11statsmodels_3tsa_10statespace_8_filters_19_univariate_diffuse_sforecast_error_diffuse_cov(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_sKalmanFilter *__pyx_v_kfilter, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_sStatespace *__pyx_v_model, int __pyx_v_i) {
  int __pyx_v_inc;
  __pyx_t_5numpy_float32_t __pyx_v_alpha;
  __pyx_t_5numpy_float32_t __pyx_v_beta;
  __pyx_t_5numpy_float32_t __pyx_v_forecast_error_diffuse_cov;
  int __pyx_v_k_states;
  __pyx_t_5numpy_float32_t __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":177
 * cdef np.float32_t sforecast_error_diffuse_cov(sKalmanFilter kfilter, sStatespace model, int i):
 *     cdef:
 *         int inc = 1             # <<<<<<<<<<<<<<
 *         np.float32_t alpha = 1
 *         np.float32_t beta = 0
*/
  __pyx_v_inc = 1;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":178
 *     cdef:
 *         int inc = 1
 *         np.float32_t alpha = 1             # <<<<<<<<<<<<<<
 *         np.float32_t beta = 0
 *         np.float32_t forecast_error_diffuse_cov
*/
  __pyx_v_alpha = 1.0;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":179
 *         int inc = 1
 *         np.float32_t alpha = 1
 *         np.float32_t beta = 0             # <<<<<<<<<<<<<<
 *         np.float32_t forecast_error_diffuse_cov
 *         int k_states = model._k_states
*/
  __pyx_v_beta = 0.0;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":181
 *         np.float32_t beta = 0
 *         np.float32_t forecast_error_diffuse_cov
 *         int k_states = model._k_states             # <<<<<<<<<<<<<<
 * 
 *     # Adjust for a VAR transition (i.e. design = [#, 0], where the zeros
*/
  __pyx_t_1 = __pyx_v_model->_k_states;
  __pyx_v_k_states = __pyx_t_1;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":185
 *     # Adjust for a VAR transition (i.e. design = [#, 0], where the zeros
 *     # correspond to all states except the first k_posdef states)
 *     if model.subset_design:             # <<<<<<<<<<<<<<
 *         k_states = model._k_posdef
 * 
*/
  __pyx_t_2 = (__pyx_v_model->subset_design != 0);
  if (__pyx_t_2) {

    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":186
 *     # correspond to all states except the first k_posdef states)
 *     if model.subset_design:
 *         k_states = model._k_posdef             # <<<<<<<<<<<<<<
 * 
 *     # *Intermediate calculation*
*/
    __pyx_t_1 = __pyx_v_model->_k_posdef;
    __pyx_v_k_states = __pyx_t_1;

    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":185
 *     # Adjust for a VAR transition (i.e. design = [#, 0], where the zeros
 *     # correspond to all states except the first k_posdef states)
 *     if model.subset_design:             # <<<<<<<<<<<<<<
 *         k_states = model._k_posdef
 * 
*/
  }

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":192
 *     # $M_{i, \infty} = P_{t,i,\infty} Z_{t,i}'$
 *     # $(m \times 1) = (m \times m) (1 \times m)'$
 *     blas.sgemv("N", &model._k_states, &model._k_states,             # <<<<<<<<<<<<<<
 *           &alpha, kfilter._predicted_diffuse_state_cov, &kfilter.k_states,
 *                   &model._design[i], &model._k_endog,
*/
  __pyx_f_5scipy_6linalg_11cython_blas_sgemv(((char *)"N"), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_alpha), __pyx_v_kfilter->_predicted_diffuse_state_cov, (&__pyx_v_kfilter->k_states), (&(__pyx_v_model->_design[__pyx_v_i])), (&__pyx_v_model->_k_endog), (&__pyx_v_beta), (&(__pyx_v_kfilter->_M_inf[(__pyx_v_i * __pyx_v_kfilter->k_states)])), (&__pyx_v_inc));

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":204
 * 
 *     forecast_error_diffuse_cov = (
 *         blas.sdot(&k_states, &model._design[i], &model._k_endog,             # <<<<<<<<<<<<<<
 *                                       &kfilter._M_inf[i * kfilter.k_states], &inc)
 *     )
*/
  __pyx_v_forecast_error_diffuse_cov = __pyx_f_5scipy_6linalg_11cython_blas_sdot((&__pyx_v_k_states), (&(__pyx_v_model->_design[__pyx_v_i])), (&__pyx_v_model->_k_endog), (&(__pyx_v_kfilter->_M_inf[(__pyx_v_i * __pyx_v_kfilter->k_states)])), (&__pyx_v_inc));

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":207
 *                                       &kfilter._M_inf[i * kfilter.k_states], &inc)
 *     )
 *     kfilter._forecast_error_diffuse_cov[i + i*kfilter.k_endog] = forecast_error_diffuse_cov             # <<<<<<<<<<<<<<
 *     return forecast_error_diffuse_cov
 * 
*/
  (__pyx_v_kfilter->_forecast_error_diffuse_cov[(__pyx_v_i + (__pyx_v_i * __pyx_v_kfilter->k_endog))]) = __pyx_v_forecast_error_diffuse_cov;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":208
 *     )
 *     kfilter._forecast_error_diffuse_cov[i + i*kfilter.k_endog] = forecast_error_diffuse_cov
 *     return forecast_error_diffuse_cov             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __pyx_r = __pyx_v_forecast_error_diffuse_cov;
  goto __pyx_L0;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":175
 * 
 * 
 * cdef np.float32_t sforecast_error_diffuse_cov(sKalmanFilter kfilter, sStatespace model, int i):             # <<<<<<<<<<<<<<
 *     cdef:
 *         int inc = 1
*/

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":211
 * 
 * 
 * cdef int sprediction_univariate_diffuse(sKalmanFilter kfilter, sStatespace model):             # <<<<<<<<<<<<<<
 *     # Constants
 *     cdef:
*/

static int __pyx_f_11statsmodels_3tsa_10statespace_8_filters_19_univariate_diffuse_sprediction_univariate_diffuse(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_sKalmanFilter *__pyx_v_kfilter, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_sStatespace *__pyx_v_model) {
  CYTHON_UNUSED int __pyx_v_inc;
  CYTHON_UNUSED __pyx_t_5numpy_float32_t __pyx_v_alpha;
  CYTHON_UNUSED __pyx_t_5numpy_float32_t __pyx_v_beta;
  CYTHON_UNUSED __pyx_t_5numpy_float32_t __pyx_v_gamma;
  int __pyx_r;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":214
 *     # Constants
 *     cdef:
 *         int inc = 1             # <<<<<<<<<<<<<<
 *         int i, j
 *         np.float32_t alpha = 1.0
*/
  __pyx_v_inc = 1;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":216
 *         int inc = 1
 *         int i, j
 *         np.float32_t alpha = 1.0             # <<<<<<<<<<<<<<
 *         np.float32_t beta = 0.0
 *         np.float32_t gamma = -1.0
*/
  __pyx_v_alpha = 1.0;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":217
 *         int i, j
 *         np.float32_t alpha = 1.0
 *         np.float32_t beta = 0.0             # <<<<<<<<<<<<<<
 *         np.float32_t gamma = -1.0
 * 
*/
  __pyx_v_beta = 0.0;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":218
 *         np.float32_t alpha = 1.0
 *         np.float32_t beta = 0.0
 *         np.float32_t gamma = -1.0             # <<<<<<<<<<<<<<
 * 
 *     spredicted_state(kfilter, model)
*/
  __pyx_v_gamma = -1.0;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":220
 *         np.float32_t gamma = -1.0
 * 
 *     spredicted_state(kfilter, model)             # <<<<<<<<<<<<<<
 *     spredicted_state_cov(kfilter, model)
 *     spredicted_diffuse_state_cov(kfilter, model)
*/
  __pyx_f_11statsmodels_3tsa_10statespace_8_filters_11_univariate_spredicted_state(__pyx_v_kfilter, __pyx_v_model); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 220, __pyx_L1_error)

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 * 
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 *     spredicted_diffuse_state_cov(kfilter, model)
 * 
*/
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  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":222
 *     spredicted_state(kfilter, model)
 *     spredicted_state_cov(kfilter, model)
 *     spredicted_diffuse_state_cov(kfilter, model)             # <<<<<<<<<<<<<<
 * 
 *     return 0
*/
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  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":224
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 * 
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * 
*/
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  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":211
 * 
 * 
 * cdef int sprediction_univariate_diffuse(sKalmanFilter kfilter, sStatespace model):             # <<<<<<<<<<<<<<
 *     # Constants
 *     cdef:
*/

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/* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":227
 * 
 * 
 * cdef void spredicted_diffuse_state_cov(sKalmanFilter kfilter, sStatespace model):             # <<<<<<<<<<<<<<
 *     cdef:
 *         int inc = 1
*/

static void __pyx_f_11statsmodels_3tsa_10statespace_8_filters_19_univariate_diffuse_spredicted_diffuse_state_cov(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_sKalmanFilter *__pyx_v_kfilter, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_sStatespace *__pyx_v_model) {
  int __pyx_v_inc;
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  __pyx_t_5numpy_float32_t __pyx_v_beta;
  int __pyx_t_1;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":229
 * cdef void spredicted_diffuse_state_cov(sKalmanFilter kfilter, sStatespace model):
 *     cdef:
 *         int inc = 1             # <<<<<<<<<<<<<<
 *         np.float32_t alpha = 1.0
 *         np.float32_t beta = 0.0
*/
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  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":230
 *     cdef:
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 *         np.float32_t alpha = 1.0             # <<<<<<<<<<<<<<
 *         np.float32_t beta = 0.0
 * 
*/
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  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":231
 *         int inc = 1
 *         np.float32_t alpha = 1.0
 *         np.float32_t beta = 0.0             # <<<<<<<<<<<<<<
 * 
 *     # Need special handling for the completely missing case, since the
*/
  __pyx_v_beta = 0.0;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":236
 *     # conventional Kalman filter routines are used in this case and they do not
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 *     if model._nmissing == model.k_endog:             # <<<<<<<<<<<<<<
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  if (__pyx_t_1) {

    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":237
 *     # copy over the predicted diffuse state cov
 *     if model._nmissing == model.k_endog:
 *         blas.scopy(&kfilter.k_states2, kfilter._input_diffuse_state_cov, &inc,             # <<<<<<<<<<<<<<
 *                                                 kfilter._predicted_diffuse_state_cov, &inc)
 * 
*/
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    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":236
 *     # conventional Kalman filter routines are used in this case and they do not
 *     # copy over the predicted diffuse state cov
 *     if model._nmissing == model.k_endog:             # <<<<<<<<<<<<<<
 *         blas.scopy(&kfilter.k_states2, kfilter._input_diffuse_state_cov, &inc,
 *                                                 kfilter._predicted_diffuse_state_cov, &inc)
*/
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  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":241
 * 
 *     # P_t1_inf[:] = np.dot(np.dot(T, P_t_inf), T.T)
 *     blas.sgemm("N", "N", &model._k_states, &model._k_states, &model._k_states,             # <<<<<<<<<<<<<<
 *           &alpha, model._transition, &model._k_states,
 *                   kfilter._predicted_diffuse_state_cov, &kfilter.k_states,
*/
  __pyx_f_5scipy_6linalg_11cython_blas_sgemm(((char *)"N"), ((char *)"N"), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_alpha), __pyx_v_model->_transition, (&__pyx_v_model->_k_states), __pyx_v_kfilter->_predicted_diffuse_state_cov, (&__pyx_v_kfilter->k_states), (&__pyx_v_beta), __pyx_v_kfilter->_tmp0, (&__pyx_v_kfilter->k_states));

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":247
 *     # $P_{t+1} = 1.0 \\#_0 T_t' + 1.0 \\#$
 *     # $(m \times m) = (m \times m) (m \times m) + (m \times m)$
 *     blas.sgemm("N", "T", &model._k_states, &model._k_states, &model._k_states,             # <<<<<<<<<<<<<<
 *           &alpha, kfilter._tmp0, &kfilter.k_states,
 *                   model._transition, &model._k_states,
*/
  __pyx_f_5scipy_6linalg_11cython_blas_sgemm(((char *)"N"), ((char *)"T"), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_alpha), __pyx_v_kfilter->_tmp0, (&__pyx_v_kfilter->k_states), __pyx_v_model->_transition, (&__pyx_v_model->_k_states), (&__pyx_v_beta), __pyx_v_kfilter->_predicted_diffuse_state_cov, (&__pyx_v_kfilter->k_states));

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":227
 * 
 * 
 * cdef void spredicted_diffuse_state_cov(sKalmanFilter kfilter, sStatespace model):             # <<<<<<<<<<<<<<
 *     cdef:
 *         int inc = 1
*/

  /* function exit code */
}

/* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":254
 * 
 * # Note: updating, inverse, loglikelihood are all performed in prior steps
 * cdef int supdating_univariate_diffuse(sKalmanFilter kfilter, sStatespace model):             # <<<<<<<<<<<<<<
 *     return 0
 * 
*/

static int __pyx_f_11statsmodels_3tsa_10statespace_8_filters_19_univariate_diffuse_supdating_univariate_diffuse(CYTHON_UNUSED struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_sKalmanFilter *__pyx_v_kfilter, CYTHON_UNUSED struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_sStatespace *__pyx_v_model) {
  int __pyx_r;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":255
 * # Note: updating, inverse, loglikelihood are all performed in prior steps
 * cdef int supdating_univariate_diffuse(sKalmanFilter kfilter, sStatespace model):
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * cdef np.float32_t sinverse_noop_univariate_diffuse(sKalmanFilter kfilter, sStatespace model, np.float32_t determinant) except *:
*/
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 * 
 * # Note: updating, inverse, loglikelihood are all performed in prior steps
 * cdef int supdating_univariate_diffuse(sKalmanFilter kfilter, sStatespace model):             # <<<<<<<<<<<<<<
 *     return 0
 * 
*/

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/* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":257
 *     return 0
 * 
 * cdef np.float32_t sinverse_noop_univariate_diffuse(sKalmanFilter kfilter, sStatespace model, np.float32_t determinant) except *:             # <<<<<<<<<<<<<<
 *     return -np.inf
 * 
*/

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 * 
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 *     return -np.inf             # <<<<<<<<<<<<<<
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 * cdef np.float32_t sloglikelihood_univariate_diffuse(sKalmanFilter kfilter, sStatespace model, np.float32_t determinant):
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  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":257
 *     return 0
 * 
 * cdef np.float32_t sinverse_noop_univariate_diffuse(sKalmanFilter kfilter, sStatespace model, np.float32_t determinant) except *:             # <<<<<<<<<<<<<<
 *     return -np.inf
 * 
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/* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":260
 *     return -np.inf
 * 
 * cdef np.float32_t sloglikelihood_univariate_diffuse(sKalmanFilter kfilter, sStatespace model, np.float32_t determinant):             # <<<<<<<<<<<<<<
 *     return 0
 * 
*/

static __pyx_t_5numpy_float32_t __pyx_f_11statsmodels_3tsa_10statespace_8_filters_19_univariate_diffuse_sloglikelihood_univariate_diffuse(CYTHON_UNUSED struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_sKalmanFilter *__pyx_v_kfilter, CYTHON_UNUSED struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_sStatespace *__pyx_v_model, CYTHON_UNUSED __pyx_t_5numpy_float32_t __pyx_v_determinant) {
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 * 
 * cdef np.float32_t sloglikelihood_univariate_diffuse(sKalmanFilter kfilter, sStatespace model, np.float32_t determinant):
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * from statsmodels.tsa.statespace._filters._univariate cimport (
*/
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  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":260
 *     return -np.inf
 * 
 * cdef np.float32_t sloglikelihood_univariate_diffuse(sKalmanFilter kfilter, sStatespace model, np.float32_t determinant):             # <<<<<<<<<<<<<<
 *     return 0
 * 
*/

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/* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":273
 * # See Durbin and Koopman (2012) Chapter 6.4
 * 
 * cdef int dforecast_univariate_diffuse(dKalmanFilter kfilter, dStatespace model):             # <<<<<<<<<<<<<<
 *     # Constants
 *     cdef:
*/

static int __pyx_f_11statsmodels_3tsa_10statespace_8_filters_19_univariate_diffuse_dforecast_univariate_diffuse(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_dKalmanFilter *__pyx_v_kfilter, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_dStatespace *__pyx_v_model) {
  int __pyx_v_i;
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  __pyx_t_5numpy_float64_t __pyx_v_F12;
  __pyx_t_5numpy_float64_t __pyx_v_alpha;
  __pyx_t_5numpy_float64_t __pyx_v_beta;
  __pyx_t_5numpy_float64_t __pyx_v_gamma;
  int __pyx_r;
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  int __pyx_t_5;
  int __pyx_t_6;
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  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":277
 *     cdef:
 *         int i, j, k
 *         int inc = 1             # <<<<<<<<<<<<<<
 *         np.float64_t forecast_error_cov, forecast_error_cov_inv, forecast_error_diffuse_cov, forecast_error_diffuse_cov_inv, F1, F12
 *         np.float64_t alpha = 1.0
*/
  __pyx_v_inc = 1;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":279
 *         int inc = 1
 *         np.float64_t forecast_error_cov, forecast_error_cov_inv, forecast_error_diffuse_cov, forecast_error_diffuse_cov_inv, F1, F12
 *         np.float64_t alpha = 1.0             # <<<<<<<<<<<<<<
 *         np.float64_t beta = 0.0
 *         np.float64_t gamma = -1.0
*/
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  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":280
 *         np.float64_t forecast_error_cov, forecast_error_cov_inv, forecast_error_diffuse_cov, forecast_error_diffuse_cov_inv, F1, F12
 *         np.float64_t alpha = 1.0
 *         np.float64_t beta = 0.0             # <<<<<<<<<<<<<<
 *         np.float64_t gamma = -1.0
 * 
*/
  __pyx_v_beta = 0.0;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":281
 *         np.float64_t alpha = 1.0
 *         np.float64_t beta = 0.0
 *         np.float64_t gamma = -1.0             # <<<<<<<<<<<<<<
 * 
 *     # Initialize the filtered states
*/
  __pyx_v_gamma = -1.0;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":284
 * 
 *     # Initialize the filtered states
 *     blas.dcopy(&kfilter.k_states, kfilter._input_state, &inc,             # <<<<<<<<<<<<<<
 *                                            kfilter._filtered_state, &inc)
 *     blas.dcopy(&kfilter.k_states2, kfilter._input_state_cov, &inc,
*/
  __pyx_f_5scipy_6linalg_11cython_blas_dcopy((&__pyx_v_kfilter->k_states), __pyx_v_kfilter->_input_state, (&__pyx_v_inc), __pyx_v_kfilter->_filtered_state, (&__pyx_v_inc));

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":286
 *     blas.dcopy(&kfilter.k_states, kfilter._input_state, &inc,
 *                                            kfilter._filtered_state, &inc)
 *     blas.dcopy(&kfilter.k_states2, kfilter._input_state_cov, &inc,             # <<<<<<<<<<<<<<
 *                                             kfilter._filtered_state_cov, &inc)
 *     blas.dcopy(&kfilter.k_states2, kfilter._input_diffuse_state_cov, &inc,
*/
  __pyx_f_5scipy_6linalg_11cython_blas_dcopy((&__pyx_v_kfilter->k_states2), __pyx_v_kfilter->_input_state_cov, (&__pyx_v_inc), __pyx_v_kfilter->_filtered_state_cov, (&__pyx_v_inc));

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":288
 *     blas.dcopy(&kfilter.k_states2, kfilter._input_state_cov, &inc,
 *                                             kfilter._filtered_state_cov, &inc)
 *     blas.dcopy(&kfilter.k_states2, kfilter._input_diffuse_state_cov, &inc,             # <<<<<<<<<<<<<<
 *                                             kfilter._predicted_diffuse_state_cov, &inc)
 * 
*/
  __pyx_f_5scipy_6linalg_11cython_blas_dcopy((&__pyx_v_kfilter->k_states2), __pyx_v_kfilter->_input_diffuse_state_cov, (&__pyx_v_inc), __pyx_v_kfilter->_predicted_diffuse_state_cov, (&__pyx_v_inc));

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":292
 * 
 *     # Iterate over endogenous variables
 *     for i in range(model._k_endog):             # <<<<<<<<<<<<<<
 *         # forecast_t, v_t,
 *         dforecast_error(kfilter, model, i)
*/
  __pyx_t_1 = __pyx_v_model->_k_endog;
  __pyx_t_2 = __pyx_t_1;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
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    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":294
 *     for i in range(model._k_endog):
 *         # forecast_t, v_t,
 *         dforecast_error(kfilter, model, i)             # <<<<<<<<<<<<<<
 * 
 *         # F_{*,t}
*/
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 * 
 *         # F_{*,t}
 *         forecast_error_cov = dforecast_error_cov(kfilter, model, i)             # <<<<<<<<<<<<<<
 *         if forecast_error_cov < 0:
 *             kfilter._forecast_error_cov[i + i*kfilter.k_endog] = 0
*/
    __pyx_t_4 = __pyx_f_11statsmodels_3tsa_10statespace_8_filters_11_univariate_dforecast_error_cov(__pyx_v_kfilter, __pyx_v_model, __pyx_v_i); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 297, __pyx_L1_error)
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    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":298
 *         # F_{*,t}
 *         forecast_error_cov = dforecast_error_cov(kfilter, model, i)
 *         if forecast_error_cov < 0:             # <<<<<<<<<<<<<<
 *             kfilter._forecast_error_cov[i + i*kfilter.k_endog] = 0
 *             forecast_error_cov = 0
*/
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      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":299
 *         forecast_error_cov = dforecast_error_cov(kfilter, model, i)
 *         if forecast_error_cov < 0:
 *             kfilter._forecast_error_cov[i + i*kfilter.k_endog] = 0             # <<<<<<<<<<<<<<
 *             forecast_error_cov = 0
 * 
*/
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      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":300
 *         if forecast_error_cov < 0:
 *             kfilter._forecast_error_cov[i + i*kfilter.k_endog] = 0
 *             forecast_error_cov = 0             # <<<<<<<<<<<<<<
 * 
 *         # Save temporary array data
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      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":298
 *         # F_{*,t}
 *         forecast_error_cov = dforecast_error_cov(kfilter, model, i)
 *         if forecast_error_cov < 0:             # <<<<<<<<<<<<<<
 *             kfilter._forecast_error_cov[i + i*kfilter.k_endog] = 0
 *             forecast_error_cov = 0
*/
    }

    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":303
 * 
 *         # Save temporary array data
 *         if not forecast_error_cov == 0:             # <<<<<<<<<<<<<<
 *             forecast_error_cov_inv = 1.0 / forecast_error_cov
 *             dtemp_arrays(kfilter, model, i, forecast_error_cov_inv)
*/
    __pyx_t_5 = (!(__pyx_v_forecast_error_cov == 0.0));
    if (__pyx_t_5) {

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":304
 *         # Save temporary array data
 *         if not forecast_error_cov == 0:
 *             forecast_error_cov_inv = 1.0 / forecast_error_cov             # <<<<<<<<<<<<<<
 *             dtemp_arrays(kfilter, model, i, forecast_error_cov_inv)
 * 
*/
      if (unlikely(__pyx_v_forecast_error_cov == 0)) {
        PyErr_SetString(PyExc_ZeroDivisionError, "float division");
        __PYX_ERR(0, 304, __pyx_L1_error)
      }
      __pyx_v_forecast_error_cov_inv = (((__pyx_t_5numpy_float64_t)1.0) / __pyx_v_forecast_error_cov);

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":305
 *         if not forecast_error_cov == 0:
 *             forecast_error_cov_inv = 1.0 / forecast_error_cov
 *             dtemp_arrays(kfilter, model, i, forecast_error_cov_inv)             # <<<<<<<<<<<<<<
 * 
 *         # F_{\infty,t}
*/
      __pyx_f_11statsmodels_3tsa_10statespace_8_filters_11_univariate_dtemp_arrays(__pyx_v_kfilter, __pyx_v_model, __pyx_v_i, __pyx_v_forecast_error_cov_inv); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 305, __pyx_L1_error)

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":303
 * 
 *         # Save temporary array data
 *         if not forecast_error_cov == 0:             # <<<<<<<<<<<<<<
 *             forecast_error_cov_inv = 1.0 / forecast_error_cov
 *             dtemp_arrays(kfilter, model, i, forecast_error_cov_inv)
*/
    }

    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":308
 * 
 *         # F_{\infty,t}
 *         forecast_error_diffuse_cov = dforecast_error_diffuse_cov(kfilter, model, i)             # <<<<<<<<<<<<<<
 *         if forecast_error_diffuse_cov < 0:
 *             kfilter._forecast_error_diffuse_cov[i + i*kfilter.k_endog] = 0
*/
    __pyx_t_4 = __pyx_f_11statsmodels_3tsa_10statespace_8_filters_19_univariate_diffuse_dforecast_error_diffuse_cov(__pyx_v_kfilter, __pyx_v_model, __pyx_v_i); if (unlikely(__pyx_t_4 == ((__pyx_t_5numpy_float64_t)-1) && PyErr_Occurred())) __PYX_ERR(0, 308, __pyx_L1_error)
    __pyx_v_forecast_error_diffuse_cov = __pyx_t_4;

    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":309
 *         # F_{\infty,t}
 *         forecast_error_diffuse_cov = dforecast_error_diffuse_cov(kfilter, model, i)
 *         if forecast_error_diffuse_cov < 0:             # <<<<<<<<<<<<<<
 *             kfilter._forecast_error_diffuse_cov[i + i*kfilter.k_endog] = 0
 *             forecast_error_diffuse_cov = 0
*/
    __pyx_t_5 = (__pyx_v_forecast_error_diffuse_cov < 0.0);
    if (__pyx_t_5) {

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":310
 *         forecast_error_diffuse_cov = dforecast_error_diffuse_cov(kfilter, model, i)
 *         if forecast_error_diffuse_cov < 0:
 *             kfilter._forecast_error_diffuse_cov[i + i*kfilter.k_endog] = 0             # <<<<<<<<<<<<<<
 *             forecast_error_diffuse_cov = 0
 * 
*/
      (__pyx_v_kfilter->_forecast_error_diffuse_cov[(__pyx_v_i + (__pyx_v_i * __pyx_v_kfilter->k_endog))]) = 0.0;

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":311
 *         if forecast_error_diffuse_cov < 0:
 *             kfilter._forecast_error_diffuse_cov[i + i*kfilter.k_endog] = 0
 *             forecast_error_diffuse_cov = 0             # <<<<<<<<<<<<<<
 * 
 *         # F_{\infty, i, i, t} > 0
*/
      __pyx_v_forecast_error_diffuse_cov = 0.0;

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":309
 *         # F_{\infty,t}
 *         forecast_error_diffuse_cov = dforecast_error_diffuse_cov(kfilter, model, i)
 *         if forecast_error_diffuse_cov < 0:             # <<<<<<<<<<<<<<
 *             kfilter._forecast_error_diffuse_cov[i + i*kfilter.k_endog] = 0
 *             forecast_error_diffuse_cov = 0
*/
    }

    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":314
 * 
 *         # F_{\infty, i, i, t} > 0
 *         if forecast_error_diffuse_cov > kfilter.tolerance_diffuse:             # <<<<<<<<<<<<<<
 *             forecast_error_diffuse_cov_inv = 1.0 / forecast_error_diffuse_cov
 * 
*/
    __pyx_t_5 = (__pyx_v_forecast_error_diffuse_cov > __pyx_v_kfilter->tolerance_diffuse);
    if (__pyx_t_5) {

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":315
 *         # F_{\infty, i, i, t} > 0
 *         if forecast_error_diffuse_cov > kfilter.tolerance_diffuse:
 *             forecast_error_diffuse_cov_inv = 1.0 / forecast_error_diffuse_cov             # <<<<<<<<<<<<<<
 * 
 *             F1 = forecast_error_diffuse_cov_inv
*/
      if (unlikely(__pyx_v_forecast_error_diffuse_cov == 0)) {
        PyErr_SetString(PyExc_ZeroDivisionError, "float division");
        __PYX_ERR(0, 315, __pyx_L1_error)
      }
      __pyx_v_forecast_error_diffuse_cov_inv = (((__pyx_t_5numpy_float64_t)1.0) / __pyx_v_forecast_error_diffuse_cov);

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":317
 *             forecast_error_diffuse_cov_inv = 1.0 / forecast_error_diffuse_cov
 * 
 *             F1 = forecast_error_diffuse_cov_inv             # <<<<<<<<<<<<<<
 *             # Usually F2 = -forecast_error_cov * forecast_error_diffuse_cov_inv**2
 *             # but this version is more convenient for the *axpy call
*/
      __pyx_v_F1 = __pyx_v_forecast_error_diffuse_cov_inv;

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":320
 *             # Usually F2 = -forecast_error_cov * forecast_error_diffuse_cov_inv**2
 *             # but this version is more convenient for the *axpy call
 *             F12 = -forecast_error_cov * forecast_error_diffuse_cov_inv             # <<<<<<<<<<<<<<
 * 
 *             # K0 = M_inf[:, i:i+1] * F1
*/
      __pyx_v_F12 = ((-__pyx_v_forecast_error_cov) * __pyx_v_forecast_error_diffuse_cov_inv);

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":323
 * 
 *             # K0 = M_inf[:, i:i+1] * F1
 *             blas.dcopy(&kfilter.k_states, &kfilter._M_inf[i * kfilter.k_states], &inc, kfilter._tmpK0, &inc)             # <<<<<<<<<<<<<<
 *             blas.dscal(&kfilter.k_states, &F1, kfilter._tmpK0, &inc)
 *             # K1 = M[:, i:i+1] * F1 + M_inf[:, i:i+1] * F2
*/
      __pyx_f_5scipy_6linalg_11cython_blas_dcopy((&__pyx_v_kfilter->k_states), (&(__pyx_v_kfilter->_M_inf[(__pyx_v_i * __pyx_v_kfilter->k_states)])), (&__pyx_v_inc), __pyx_v_kfilter->_tmpK0, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":324
 *             # K0 = M_inf[:, i:i+1] * F1
 *             blas.dcopy(&kfilter.k_states, &kfilter._M_inf[i * kfilter.k_states], &inc, kfilter._tmpK0, &inc)
 *             blas.dscal(&kfilter.k_states, &F1, kfilter._tmpK0, &inc)             # <<<<<<<<<<<<<<
 *             # K1 = M[:, i:i+1] * F1 + M_inf[:, i:i+1] * F2
 *             # K1 = M[:, i:i+1] * F1 + K0 * F12
*/
      __pyx_f_5scipy_6linalg_11cython_blas_dscal((&__pyx_v_kfilter->k_states), (&__pyx_v_F1), __pyx_v_kfilter->_tmpK0, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":327
 *             # K1 = M[:, i:i+1] * F1 + M_inf[:, i:i+1] * F2
 *             # K1 = M[:, i:i+1] * F1 + K0 * F12
 *             blas.dcopy(&kfilter.k_states, &kfilter._M[i*kfilter.k_states], &inc, kfilter._tmpK1, &inc)             # <<<<<<<<<<<<<<
 *             blas.dscal(&kfilter.k_states, &F1, kfilter._tmpK1, &inc)
 *             blas.daxpy(&kfilter.k_states, &F12, kfilter._tmpK0, &inc, kfilter._tmpK1, &inc)
*/
      __pyx_f_5scipy_6linalg_11cython_blas_dcopy((&__pyx_v_kfilter->k_states), (&(__pyx_v_kfilter->_M[(__pyx_v_i * __pyx_v_kfilter->k_states)])), (&__pyx_v_inc), __pyx_v_kfilter->_tmpK1, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":328
 *             # K1 = M[:, i:i+1] * F1 + K0 * F12
 *             blas.dcopy(&kfilter.k_states, &kfilter._M[i*kfilter.k_states], &inc, kfilter._tmpK1, &inc)
 *             blas.dscal(&kfilter.k_states, &F1, kfilter._tmpK1, &inc)             # <<<<<<<<<<<<<<
 *             blas.daxpy(&kfilter.k_states, &F12, kfilter._tmpK0, &inc, kfilter._tmpK1, &inc)
 *             # L0 = np.eye(m) - np.dot(K0, Zi)
*/
      __pyx_f_5scipy_6linalg_11cython_blas_dscal((&__pyx_v_kfilter->k_states), (&__pyx_v_F1), __pyx_v_kfilter->_tmpK1, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":329
 *             blas.dcopy(&kfilter.k_states, &kfilter._M[i*kfilter.k_states], &inc, kfilter._tmpK1, &inc)
 *             blas.dscal(&kfilter.k_states, &F1, kfilter._tmpK1, &inc)
 *             blas.daxpy(&kfilter.k_states, &F12, kfilter._tmpK0, &inc, kfilter._tmpK1, &inc)             # <<<<<<<<<<<<<<
 *             # L0 = np.eye(m) - np.dot(K0, Zi)
 *             kfilter.tmpL0[:] = 0
*/
      __pyx_f_5scipy_6linalg_11cython_blas_daxpy((&__pyx_v_kfilter->k_states), (&__pyx_v_F12), __pyx_v_kfilter->_tmpK0, (&__pyx_v_inc), __pyx_v_kfilter->_tmpK1, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":331
 *             blas.daxpy(&kfilter.k_states, &F12, kfilter._tmpK0, &inc, kfilter._tmpK1, &inc)
 *             # L0 = np.eye(m) - np.dot(K0, Zi)
 *             kfilter.tmpL0[:] = 0             # <<<<<<<<<<<<<<
 *             blas.dger(&model._k_states, &model._k_states, &gamma, kfilter._tmpK0, &inc, &model._design[i], &model._k_endog, kfilter._tmpL0, &kfilter.k_states)
 *             for j in range(kfilter.k_states):
*/
      if (unlikely(!__pyx_v_kfilter->tmpL0.memview)) {PyErr_SetString(PyExc_AttributeError,"Memoryview is not initialized");__PYX_ERR(0, 331, __pyx_L1_error)}
      {
          __pyx_t_5numpy_float64_t __pyx_temp_scalar = 0.0;
          {
              Py_ssize_t __pyx_temp_extent = __pyx_v_kfilter->tmpL0.shape[0] * __pyx_v_kfilter->tmpL0.shape[1];
              Py_ssize_t __pyx_temp_idx;
              __pyx_t_5numpy_float64_t *__pyx_temp_pointer = (__pyx_t_5numpy_float64_t *) __pyx_v_kfilter->tmpL0.data;
              for (__pyx_temp_idx = 0; __pyx_temp_idx < __pyx_temp_extent; __pyx_temp_idx++) {
                *((__pyx_t_5numpy_float64_t *) __pyx_temp_pointer) = __pyx_temp_scalar;
                __pyx_temp_pointer += 1;
              }
          }
      }

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":332
 *             # L0 = np.eye(m) - np.dot(K0, Zi)
 *             kfilter.tmpL0[:] = 0
 *             blas.dger(&model._k_states, &model._k_states, &gamma, kfilter._tmpK0, &inc, &model._design[i], &model._k_endog, kfilter._tmpL0, &kfilter.k_states)             # <<<<<<<<<<<<<<
 *             for j in range(kfilter.k_states):
 *                 kfilter._tmpL0[j + j*kfilter.k_states] = kfilter._tmpL0[j + j*kfilter.k_states] + 1
*/
      __pyx_f_5scipy_6linalg_11cython_blas_dger((&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_gamma), __pyx_v_kfilter->_tmpK0, (&__pyx_v_inc), (&(__pyx_v_model->_design[__pyx_v_i])), (&__pyx_v_model->_k_endog), __pyx_v_kfilter->_tmpL0, (&__pyx_v_kfilter->k_states));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":333
 *             kfilter.tmpL0[:] = 0
 *             blas.dger(&model._k_states, &model._k_states, &gamma, kfilter._tmpK0, &inc, &model._design[i], &model._k_endog, kfilter._tmpL0, &kfilter.k_states)
 *             for j in range(kfilter.k_states):             # <<<<<<<<<<<<<<
 *                 kfilter._tmpL0[j + j*kfilter.k_states] = kfilter._tmpL0[j + j*kfilter.k_states] + 1
 *             # L1 = -np.dot(K1, Zi)
*/
      __pyx_t_6 = __pyx_v_kfilter->k_states;
      __pyx_t_7 = __pyx_t_6;
      for (__pyx_t_8 = 0; __pyx_t_8 < __pyx_t_7; __pyx_t_8+=1) {
        __pyx_v_j = __pyx_t_8;

        /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":334
 *             blas.dger(&model._k_states, &model._k_states, &gamma, kfilter._tmpK0, &inc, &model._design[i], &model._k_endog, kfilter._tmpL0, &kfilter.k_states)
 *             for j in range(kfilter.k_states):
 *                 kfilter._tmpL0[j + j*kfilter.k_states] = kfilter._tmpL0[j + j*kfilter.k_states] + 1             # <<<<<<<<<<<<<<
 *             # L1 = -np.dot(K1, Zi)
 *             kfilter.tmpL1[:] = 0
*/
        (__pyx_v_kfilter->_tmpL0[(__pyx_v_j + (__pyx_v_j * __pyx_v_kfilter->k_states))]) = ((__pyx_v_kfilter->_tmpL0[(__pyx_v_j + (__pyx_v_j * __pyx_v_kfilter->k_states))]) + 1.0);
      }

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":336
 *                 kfilter._tmpL0[j + j*kfilter.k_states] = kfilter._tmpL0[j + j*kfilter.k_states] + 1
 *             # L1 = -np.dot(K1, Zi)
 *             kfilter.tmpL1[:] = 0             # <<<<<<<<<<<<<<
 *             blas.dger(&model._k_states, &model._k_states, &gamma, kfilter._tmpK1, &inc, &model._design[i], &model._k_endog, kfilter._tmpL1, &kfilter.k_states)
 * 
*/
      if (unlikely(!__pyx_v_kfilter->tmpL1.memview)) {PyErr_SetString(PyExc_AttributeError,"Memoryview is not initialized");__PYX_ERR(0, 336, __pyx_L1_error)}
      {
          __pyx_t_5numpy_float64_t __pyx_temp_scalar = 0.0;
          {
              Py_ssize_t __pyx_temp_extent = __pyx_v_kfilter->tmpL1.shape[0] * __pyx_v_kfilter->tmpL1.shape[1];
              Py_ssize_t __pyx_temp_idx;
              __pyx_t_5numpy_float64_t *__pyx_temp_pointer = (__pyx_t_5numpy_float64_t *) __pyx_v_kfilter->tmpL1.data;
              for (__pyx_temp_idx = 0; __pyx_temp_idx < __pyx_temp_extent; __pyx_temp_idx++) {
                *((__pyx_t_5numpy_float64_t *) __pyx_temp_pointer) = __pyx_temp_scalar;
                __pyx_temp_pointer += 1;
              }
          }
      }

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":337
 *             # L1 = -np.dot(K1, Zi)
 *             kfilter.tmpL1[:] = 0
 *             blas.dger(&model._k_states, &model._k_states, &gamma, kfilter._tmpK1, &inc, &model._design[i], &model._k_endog, kfilter._tmpL1, &kfilter.k_states)             # <<<<<<<<<<<<<<
 * 
 *             # a_t = a_t + K0[:, 0] * v[i]
*/
      __pyx_f_5scipy_6linalg_11cython_blas_dger((&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_gamma), __pyx_v_kfilter->_tmpK1, (&__pyx_v_inc), (&(__pyx_v_model->_design[__pyx_v_i])), (&__pyx_v_model->_k_endog), __pyx_v_kfilter->_tmpL1, (&__pyx_v_kfilter->k_states));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":340
 * 
 *             # a_t = a_t + K0[:, 0] * v[i]
 *             blas.daxpy(&kfilter.k_states, &kfilter._forecast_error[i], kfilter._tmpK0, &inc, kfilter._filtered_state, &inc)             # <<<<<<<<<<<<<<
 * 
 *             # P_t = np.dot(P_t_inf, L1.T) + np.dot(P_t, L0.T)
*/
      __pyx_f_5scipy_6linalg_11cython_blas_daxpy((&__pyx_v_kfilter->k_states), (&(__pyx_v_kfilter->_forecast_error[__pyx_v_i])), __pyx_v_kfilter->_tmpK0, (&__pyx_v_inc), __pyx_v_kfilter->_filtered_state, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":344
 *             # P_t = np.dot(P_t_inf, L1.T) + np.dot(P_t, L0.T)
 *             # `tmp0` array used here, dimension $(m \times m)$
 *             blas.dcopy(&kfilter.k_states2, kfilter._filtered_state_cov, &inc, kfilter._tmp0, &inc)             # <<<<<<<<<<<<<<
 *             blas.dgemm("N", "T", &model._k_states, &model._k_states, &model._k_states,
 *               &alpha, kfilter._tmp0, &kfilter.k_states,
*/
      __pyx_f_5scipy_6linalg_11cython_blas_dcopy((&__pyx_v_kfilter->k_states2), __pyx_v_kfilter->_filtered_state_cov, (&__pyx_v_inc), __pyx_v_kfilter->_tmp0, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":345
 *             # `tmp0` array used here, dimension $(m \times m)$
 *             blas.dcopy(&kfilter.k_states2, kfilter._filtered_state_cov, &inc, kfilter._tmp0, &inc)
 *             blas.dgemm("N", "T", &model._k_states, &model._k_states, &model._k_states,             # <<<<<<<<<<<<<<
 *               &alpha, kfilter._tmp0, &kfilter.k_states,
 *                       kfilter._tmpL0, &kfilter.k_states,
*/
      __pyx_f_5scipy_6linalg_11cython_blas_dgemm(((char *)"N"), ((char *)"T"), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_alpha), __pyx_v_kfilter->_tmp0, (&__pyx_v_kfilter->k_states), __pyx_v_kfilter->_tmpL0, (&__pyx_v_kfilter->k_states), (&__pyx_v_beta), __pyx_v_kfilter->_filtered_state_cov, (&__pyx_v_kfilter->k_states));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":349
 *                       kfilter._tmpL0, &kfilter.k_states,
 *               &beta, kfilter._filtered_state_cov, &kfilter.k_states)
 *             blas.dgemm("N", "T", &model._k_states, &model._k_states, &model._k_states,             # <<<<<<<<<<<<<<
 *               &alpha, kfilter._predicted_diffuse_state_cov, &kfilter.k_states,
 *                       kfilter._tmpL1, &kfilter.k_states,
*/
      __pyx_f_5scipy_6linalg_11cython_blas_dgemm(((char *)"N"), ((char *)"T"), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_alpha), __pyx_v_kfilter->_predicted_diffuse_state_cov, (&__pyx_v_kfilter->k_states), __pyx_v_kfilter->_tmpL1, (&__pyx_v_kfilter->k_states), (&__pyx_v_alpha), __pyx_v_kfilter->_filtered_state_cov, (&__pyx_v_kfilter->k_states));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":354
 *               &alpha, kfilter._filtered_state_cov, &kfilter.k_states)
 *             # P_t_inf = np.dot(P_t_inf, L0.T)
 *             blas.dcopy(&kfilter.k_states2, kfilter._predicted_diffuse_state_cov, &inc, kfilter._tmp0, &inc)             # <<<<<<<<<<<<<<
 *             blas.dgemm("N", "T", &model._k_states, &model._k_states, &model._k_states,
 *               &alpha, kfilter._tmp0, &kfilter.k_states,
*/
      __pyx_f_5scipy_6linalg_11cython_blas_dcopy((&__pyx_v_kfilter->k_states2), __pyx_v_kfilter->_predicted_diffuse_state_cov, (&__pyx_v_inc), __pyx_v_kfilter->_tmp0, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":355
 *             # P_t_inf = np.dot(P_t_inf, L0.T)
 *             blas.dcopy(&kfilter.k_states2, kfilter._predicted_diffuse_state_cov, &inc, kfilter._tmp0, &inc)
 *             blas.dgemm("N", "T", &model._k_states, &model._k_states, &model._k_states,             # <<<<<<<<<<<<<<
 *               &alpha, kfilter._tmp0, &kfilter.k_states,
 *                       kfilter._tmpL0, &kfilter.k_states,
*/
      __pyx_f_5scipy_6linalg_11cython_blas_dgemm(((char *)"N"), ((char *)"T"), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_alpha), __pyx_v_kfilter->_tmp0, (&__pyx_v_kfilter->k_states), __pyx_v_kfilter->_tmpL0, (&__pyx_v_kfilter->k_states), (&__pyx_v_beta), __pyx_v_kfilter->_predicted_diffuse_state_cov, (&__pyx_v_kfilter->k_states));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":361
 * 
 *             # Loglikelihood
 *             kfilter._loglikelihood[0] = (             # <<<<<<<<<<<<<<
 *                 kfilter._loglikelihood[0] - 0.5*(
 *                     dlog(2 * M_PI * forecast_error_diffuse_cov)))
*/
      (__pyx_v_kfilter->_loglikelihood[0]) = ((__pyx_v_kfilter->_loglikelihood[0]) - (0.5 * log(((2.0 * M_PI) * __pyx_v_forecast_error_diffuse_cov))));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":314
 * 
 *         # F_{\infty, i, i, t} > 0
 *         if forecast_error_diffuse_cov > kfilter.tolerance_diffuse:             # <<<<<<<<<<<<<<
 *             forecast_error_diffuse_cov_inv = 1.0 / forecast_error_diffuse_cov
 * 
*/
      goto __pyx_L8;
    }

    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":364
 *                 kfilter._loglikelihood[0] - 0.5*(
 *                     dlog(2 * M_PI * forecast_error_diffuse_cov)))
 *         elif forecast_error_cov > kfilter.tolerance_diffuse:             # <<<<<<<<<<<<<<
 *             kfilter.nobs_kendog_diffuse_nonsingular = kfilter.nobs_kendog_diffuse_nonsingular + 1
 *             forecast_error_cov_inv = 1.0 / forecast_error_cov
*/
    __pyx_t_5 = (__pyx_v_forecast_error_cov > __pyx_v_kfilter->tolerance_diffuse);
    if (__pyx_t_5) {

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":365
 *                     dlog(2 * M_PI * forecast_error_diffuse_cov)))
 *         elif forecast_error_cov > kfilter.tolerance_diffuse:
 *             kfilter.nobs_kendog_diffuse_nonsingular = kfilter.nobs_kendog_diffuse_nonsingular + 1             # <<<<<<<<<<<<<<
 *             forecast_error_cov_inv = 1.0 / forecast_error_cov
 * 
*/
      __pyx_v_kfilter->nobs_kendog_diffuse_nonsingular = (__pyx_v_kfilter->nobs_kendog_diffuse_nonsingular + 1);

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":366
 *         elif forecast_error_cov > kfilter.tolerance_diffuse:
 *             kfilter.nobs_kendog_diffuse_nonsingular = kfilter.nobs_kendog_diffuse_nonsingular + 1
 *             forecast_error_cov_inv = 1.0 / forecast_error_cov             # <<<<<<<<<<<<<<
 * 
 *             # Standardized forecasts error
*/
      if (unlikely(__pyx_v_forecast_error_cov == 0)) {
        PyErr_SetString(PyExc_ZeroDivisionError, "float division");
        __PYX_ERR(0, 366, __pyx_L1_error)
      }
      __pyx_v_forecast_error_cov_inv = (((__pyx_t_5numpy_float64_t)1.0) / __pyx_v_forecast_error_cov);

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":369
 * 
 *             # Standardized forecasts error
 *             if not (kfilter.conserve_memory & MEMORY_NO_STD_FORECAST > 0):             # <<<<<<<<<<<<<<
 *                 kfilter._standardized_forecast_error[i] = (
 *                     kfilter._forecast_error[i] * forecast_error_cov_inv**0.5)
*/
      __pyx_t_5 = (!((__pyx_v_kfilter->conserve_memory & __pyx_v_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_NO_STD_FORECAST) > 0));
      if (__pyx_t_5) {

        /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":370
 *             # Standardized forecasts error
 *             if not (kfilter.conserve_memory & MEMORY_NO_STD_FORECAST > 0):
 *                 kfilter._standardized_forecast_error[i] = (             # <<<<<<<<<<<<<<
 *                     kfilter._forecast_error[i] * forecast_error_cov_inv**0.5)
 * 
*/
        (__pyx_v_kfilter->_standardized_forecast_error[__pyx_v_i]) = ((__pyx_v_kfilter->_forecast_error[__pyx_v_i]) * pow(__pyx_v_forecast_error_cov_inv, ((__pyx_t_5numpy_float64_t)0.5)));

        /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":369
 * 
 *             # Standardized forecasts error
 *             if not (kfilter.conserve_memory & MEMORY_NO_STD_FORECAST > 0):             # <<<<<<<<<<<<<<
 *                 kfilter._standardized_forecast_error[i] = (
 *                     kfilter._forecast_error[i] * forecast_error_cov_inv**0.5)
*/
      }

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":374
 * 
 *             # K0 = M[:, i:i+1] / F[i, i]
 *             blas.dcopy(&kfilter.k_states, &kfilter._M[i*kfilter.k_states], &inc, kfilter._tmpK0, &inc)             # <<<<<<<<<<<<<<
 *             blas.dscal(&kfilter.k_states, &forecast_error_cov_inv, kfilter._tmpK0, &inc)
 * 
*/
      __pyx_f_5scipy_6linalg_11cython_blas_dcopy((&__pyx_v_kfilter->k_states), (&(__pyx_v_kfilter->_M[(__pyx_v_i * __pyx_v_kfilter->k_states)])), (&__pyx_v_inc), __pyx_v_kfilter->_tmpK0, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":375
 *             # K0 = M[:, i:i+1] / F[i, i]
 *             blas.dcopy(&kfilter.k_states, &kfilter._M[i*kfilter.k_states], &inc, kfilter._tmpK0, &inc)
 *             blas.dscal(&kfilter.k_states, &forecast_error_cov_inv, kfilter._tmpK0, &inc)             # <<<<<<<<<<<<<<
 * 
 *             # L0 = np.eye(m) - np.dot(K0, Zi)
*/
      __pyx_f_5scipy_6linalg_11cython_blas_dscal((&__pyx_v_kfilter->k_states), (&__pyx_v_forecast_error_cov_inv), __pyx_v_kfilter->_tmpK0, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":378
 * 
 *             # L0 = np.eye(m) - np.dot(K0, Zi)
 *             kfilter.tmpL0[:] = 0             # <<<<<<<<<<<<<<
 *             blas.dger(&model._k_states, &model._k_states, &gamma, kfilter._tmpK0, &inc, &model._design[i], &model._k_endog, kfilter._tmpL0, &kfilter.k_states)
 *             for j in range(kfilter.k_states):
*/
      if (unlikely(!__pyx_v_kfilter->tmpL0.memview)) {PyErr_SetString(PyExc_AttributeError,"Memoryview is not initialized");__PYX_ERR(0, 378, __pyx_L1_error)}
      {
          __pyx_t_5numpy_float64_t __pyx_temp_scalar = 0.0;
          {
              Py_ssize_t __pyx_temp_extent = __pyx_v_kfilter->tmpL0.shape[0] * __pyx_v_kfilter->tmpL0.shape[1];
              Py_ssize_t __pyx_temp_idx;
              __pyx_t_5numpy_float64_t *__pyx_temp_pointer = (__pyx_t_5numpy_float64_t *) __pyx_v_kfilter->tmpL0.data;
              for (__pyx_temp_idx = 0; __pyx_temp_idx < __pyx_temp_extent; __pyx_temp_idx++) {
                *((__pyx_t_5numpy_float64_t *) __pyx_temp_pointer) = __pyx_temp_scalar;
                __pyx_temp_pointer += 1;
              }
          }
      }

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":379
 *             # L0 = np.eye(m) - np.dot(K0, Zi)
 *             kfilter.tmpL0[:] = 0
 *             blas.dger(&model._k_states, &model._k_states, &gamma, kfilter._tmpK0, &inc, &model._design[i], &model._k_endog, kfilter._tmpL0, &kfilter.k_states)             # <<<<<<<<<<<<<<
 *             for j in range(kfilter.k_states):
 *                 kfilter._tmpL0[j + j*kfilter.k_states] = kfilter._tmpL0[j + j*kfilter.k_states] + 1
*/
      __pyx_f_5scipy_6linalg_11cython_blas_dger((&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_gamma), __pyx_v_kfilter->_tmpK0, (&__pyx_v_inc), (&(__pyx_v_model->_design[__pyx_v_i])), (&__pyx_v_model->_k_endog), __pyx_v_kfilter->_tmpL0, (&__pyx_v_kfilter->k_states));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":380
 *             kfilter.tmpL0[:] = 0
 *             blas.dger(&model._k_states, &model._k_states, &gamma, kfilter._tmpK0, &inc, &model._design[i], &model._k_endog, kfilter._tmpL0, &kfilter.k_states)
 *             for j in range(kfilter.k_states):             # <<<<<<<<<<<<<<
 *                 kfilter._tmpL0[j + j*kfilter.k_states] = kfilter._tmpL0[j + j*kfilter.k_states] + 1
 * 
*/
      __pyx_t_6 = __pyx_v_kfilter->k_states;
      __pyx_t_7 = __pyx_t_6;
      for (__pyx_t_8 = 0; __pyx_t_8 < __pyx_t_7; __pyx_t_8+=1) {
        __pyx_v_j = __pyx_t_8;

        /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":381
 *             blas.dger(&model._k_states, &model._k_states, &gamma, kfilter._tmpK0, &inc, &model._design[i], &model._k_endog, kfilter._tmpL0, &kfilter.k_states)
 *             for j in range(kfilter.k_states):
 *                 kfilter._tmpL0[j + j*kfilter.k_states] = kfilter._tmpL0[j + j*kfilter.k_states] + 1             # <<<<<<<<<<<<<<
 * 
 *             # a_t = a_t + K0[:, 0] * v[i]
*/
        (__pyx_v_kfilter->_tmpL0[(__pyx_v_j + (__pyx_v_j * __pyx_v_kfilter->k_states))]) = ((__pyx_v_kfilter->_tmpL0[(__pyx_v_j + (__pyx_v_j * __pyx_v_kfilter->k_states))]) + 1.0);
      }

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":384
 * 
 *             # a_t = a_t + K0[:, 0] * v[i]
 *             blas.daxpy(&kfilter.k_states, &kfilter._forecast_error[i], kfilter._tmpK0, &inc, kfilter._filtered_state, &inc)             # <<<<<<<<<<<<<<
 *             # P_t = np.dot(P_t, L0)
 *             blas.dcopy(&kfilter.k_states2, kfilter._filtered_state_cov, &inc, kfilter._tmp0, &inc)
*/
      __pyx_f_5scipy_6linalg_11cython_blas_daxpy((&__pyx_v_kfilter->k_states), (&(__pyx_v_kfilter->_forecast_error[__pyx_v_i])), __pyx_v_kfilter->_tmpK0, (&__pyx_v_inc), __pyx_v_kfilter->_filtered_state, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":386
 *             blas.daxpy(&kfilter.k_states, &kfilter._forecast_error[i], kfilter._tmpK0, &inc, kfilter._filtered_state, &inc)
 *             # P_t = np.dot(P_t, L0)
 *             blas.dcopy(&kfilter.k_states2, kfilter._filtered_state_cov, &inc, kfilter._tmp0, &inc)             # <<<<<<<<<<<<<<
 *             blas.dgemm("N", "T", &model._k_states, &model._k_states, &model._k_states,
 *               &alpha, kfilter._tmp0, &kfilter.k_states,
*/
      __pyx_f_5scipy_6linalg_11cython_blas_dcopy((&__pyx_v_kfilter->k_states2), __pyx_v_kfilter->_filtered_state_cov, (&__pyx_v_inc), __pyx_v_kfilter->_tmp0, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":387
 *             # P_t = np.dot(P_t, L0)
 *             blas.dcopy(&kfilter.k_states2, kfilter._filtered_state_cov, &inc, kfilter._tmp0, &inc)
 *             blas.dgemm("N", "T", &model._k_states, &model._k_states, &model._k_states,             # <<<<<<<<<<<<<<
 *               &alpha, kfilter._tmp0, &kfilter.k_states,
 *                       kfilter._tmpL0, &kfilter.k_states,
*/
      __pyx_f_5scipy_6linalg_11cython_blas_dgemm(((char *)"N"), ((char *)"T"), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_alpha), __pyx_v_kfilter->_tmp0, (&__pyx_v_kfilter->k_states), __pyx_v_kfilter->_tmpL0, (&__pyx_v_kfilter->k_states), (&__pyx_v_beta), __pyx_v_kfilter->_filtered_state_cov, (&__pyx_v_kfilter->k_states));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":395
 * 
 *             # Loglikelihood
 *             if not forecast_error_cov == 0:             # <<<<<<<<<<<<<<
 *                 kfilter._loglikelihood[0] = (
 *                     kfilter._loglikelihood[0] - 0.5*(
*/
      __pyx_t_5 = (!(__pyx_v_forecast_error_cov == 0.0));
      if (__pyx_t_5) {

        /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":396
 *             # Loglikelihood
 *             if not forecast_error_cov == 0:
 *                 kfilter._loglikelihood[0] = (             # <<<<<<<<<<<<<<
 *                     kfilter._loglikelihood[0] - 0.5*(
 *                         dlog(2 * M_PI * forecast_error_cov)))
*/
        (__pyx_v_kfilter->_loglikelihood[0]) = ((__pyx_v_kfilter->_loglikelihood[0]) - (0.5 * log(((2.0 * M_PI) * __pyx_v_forecast_error_cov))));

        /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":400
 *                         dlog(2 * M_PI * forecast_error_cov)))
 * 
 *                 if kfilter.filter_method & FILTER_CONCENTRATED:             # <<<<<<<<<<<<<<
 *                     kfilter._scale[0] = kfilter._scale[0] + kfilter._forecast_error[i]**2 * forecast_error_cov_inv
 *                 else:
*/
        __pyx_t_5 = ((__pyx_v_kfilter->filter_method & __pyx_v_11statsmodels_3tsa_10statespace_14_kalman_filter_FILTER_CONCENTRATED) != 0);
        if (__pyx_t_5) {

          /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":401
 * 
 *                 if kfilter.filter_method & FILTER_CONCENTRATED:
 *                     kfilter._scale[0] = kfilter._scale[0] + kfilter._forecast_error[i]**2 * forecast_error_cov_inv             # <<<<<<<<<<<<<<
 *                 else:
 *                     kfilter._loglikelihood[0] = kfilter._loglikelihood[0] - 0.5 * (kfilter._forecast_error[i]**2 * forecast_error_cov_inv)
*/
          (__pyx_v_kfilter->_scale[0]) = ((__pyx_v_kfilter->_scale[0]) + (pow((__pyx_v_kfilter->_forecast_error[__pyx_v_i]), 2.0) * __pyx_v_forecast_error_cov_inv));

          /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":400
 *                         dlog(2 * M_PI * forecast_error_cov)))
 * 
 *                 if kfilter.filter_method & FILTER_CONCENTRATED:             # <<<<<<<<<<<<<<
 *                     kfilter._scale[0] = kfilter._scale[0] + kfilter._forecast_error[i]**2 * forecast_error_cov_inv
 *                 else:
*/
          goto __pyx_L15;
        }

        /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":403
 *                     kfilter._scale[0] = kfilter._scale[0] + kfilter._forecast_error[i]**2 * forecast_error_cov_inv
 *                 else:
 *                     kfilter._loglikelihood[0] = kfilter._loglikelihood[0] - 0.5 * (kfilter._forecast_error[i]**2 * forecast_error_cov_inv)             # <<<<<<<<<<<<<<
 * 
 *         # Kalman gain
*/
        /*else*/ {
          (__pyx_v_kfilter->_loglikelihood[0]) = ((__pyx_v_kfilter->_loglikelihood[0]) - (0.5 * (pow((__pyx_v_kfilter->_forecast_error[__pyx_v_i]), 2.0) * __pyx_v_forecast_error_cov_inv)));
        }
        __pyx_L15:;

        /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":395
 * 
 *             # Loglikelihood
 *             if not forecast_error_cov == 0:             # <<<<<<<<<<<<<<
 *                 kfilter._loglikelihood[0] = (
 *                     kfilter._loglikelihood[0] - 0.5*(
*/
      }

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":364
 *                 kfilter._loglikelihood[0] - 0.5*(
 *                     dlog(2 * M_PI * forecast_error_diffuse_cov)))
 *         elif forecast_error_cov > kfilter.tolerance_diffuse:             # <<<<<<<<<<<<<<
 *             kfilter.nobs_kendog_diffuse_nonsingular = kfilter.nobs_kendog_diffuse_nonsingular + 1
 *             forecast_error_cov_inv = 1.0 / forecast_error_cov
*/
    }
    __pyx_L8:;

    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":406
 * 
 *         # Kalman gain
 *         blas.dcopy(&kfilter.k_states, kfilter._tmpK0, &inc, &kfilter._kalman_gain[i * kfilter.k_states], &inc)             # <<<<<<<<<<<<<<
 * 
 *         # Prediction (done below)
*/
    __pyx_f_5scipy_6linalg_11cython_blas_dcopy((&__pyx_v_kfilter->k_states), __pyx_v_kfilter->_tmpK0, (&__pyx_v_inc), (&(__pyx_v_kfilter->_kalman_gain[(__pyx_v_i * __pyx_v_kfilter->k_states)])), (&__pyx_v_inc));
  }

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":413
 *         # P_t1_inf[:] = np.dot(np.dot(T, P_t_inf), T.T)
 * 
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __pyx_r = 0;
  goto __pyx_L0;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":273
 * # See Durbin and Koopman (2012) Chapter 6.4
 * 
 * cdef int dforecast_univariate_diffuse(dKalmanFilter kfilter, dStatespace model):             # <<<<<<<<<<<<<<
 *     # Constants
 *     cdef:
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_AddTraceback("statsmodels.tsa.statespace._filters._univariate_diffuse.dforecast_univariate_diffuse", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = -1;
  __pyx_L0:;
  return __pyx_r;
}

/* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":416
 * 
 * 
 * cdef np.float64_t dforecast_error_diffuse_cov(dKalmanFilter kfilter, dStatespace model, int i):             # <<<<<<<<<<<<<<
 *     cdef:
 *         int inc = 1
*/

static __pyx_t_5numpy_float64_t __pyx_f_11statsmodels_3tsa_10statespace_8_filters_19_univariate_diffuse_dforecast_error_diffuse_cov(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_dKalmanFilter *__pyx_v_kfilter, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_dStatespace *__pyx_v_model, int __pyx_v_i) {
  int __pyx_v_inc;
  __pyx_t_5numpy_float64_t __pyx_v_alpha;
  __pyx_t_5numpy_float64_t __pyx_v_beta;
  __pyx_t_5numpy_float64_t __pyx_v_forecast_error_diffuse_cov;
  int __pyx_v_k_states;
  __pyx_t_5numpy_float64_t __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":418
 * cdef np.float64_t dforecast_error_diffuse_cov(dKalmanFilter kfilter, dStatespace model, int i):
 *     cdef:
 *         int inc = 1             # <<<<<<<<<<<<<<
 *         np.float64_t alpha = 1
 *         np.float64_t beta = 0
*/
  __pyx_v_inc = 1;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":419
 *     cdef:
 *         int inc = 1
 *         np.float64_t alpha = 1             # <<<<<<<<<<<<<<
 *         np.float64_t beta = 0
 *         np.float64_t forecast_error_diffuse_cov
*/
  __pyx_v_alpha = 1.0;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":420
 *         int inc = 1
 *         np.float64_t alpha = 1
 *         np.float64_t beta = 0             # <<<<<<<<<<<<<<
 *         np.float64_t forecast_error_diffuse_cov
 *         int k_states = model._k_states
*/
  __pyx_v_beta = 0.0;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":422
 *         np.float64_t beta = 0
 *         np.float64_t forecast_error_diffuse_cov
 *         int k_states = model._k_states             # <<<<<<<<<<<<<<
 * 
 *     # Adjust for a VAR transition (i.e. design = [#, 0], where the zeros
*/
  __pyx_t_1 = __pyx_v_model->_k_states;
  __pyx_v_k_states = __pyx_t_1;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":426
 *     # Adjust for a VAR transition (i.e. design = [#, 0], where the zeros
 *     # correspond to all states except the first k_posdef states)
 *     if model.subset_design:             # <<<<<<<<<<<<<<
 *         k_states = model._k_posdef
 * 
*/
  __pyx_t_2 = (__pyx_v_model->subset_design != 0);
  if (__pyx_t_2) {

    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":427
 *     # correspond to all states except the first k_posdef states)
 *     if model.subset_design:
 *         k_states = model._k_posdef             # <<<<<<<<<<<<<<
 * 
 *     # *Intermediate calculation*
*/
    __pyx_t_1 = __pyx_v_model->_k_posdef;
    __pyx_v_k_states = __pyx_t_1;

    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":426
 *     # Adjust for a VAR transition (i.e. design = [#, 0], where the zeros
 *     # correspond to all states except the first k_posdef states)
 *     if model.subset_design:             # <<<<<<<<<<<<<<
 *         k_states = model._k_posdef
 * 
*/
  }

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":433
 *     # $M_{i, \infty} = P_{t,i,\infty} Z_{t,i}'$
 *     # $(m \times 1) = (m \times m) (1 \times m)'$
 *     blas.dgemv("N", &model._k_states, &model._k_states,             # <<<<<<<<<<<<<<
 *           &alpha, kfilter._predicted_diffuse_state_cov, &kfilter.k_states,
 *                   &model._design[i], &model._k_endog,
*/
  __pyx_f_5scipy_6linalg_11cython_blas_dgemv(((char *)"N"), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_alpha), __pyx_v_kfilter->_predicted_diffuse_state_cov, (&__pyx_v_kfilter->k_states), (&(__pyx_v_model->_design[__pyx_v_i])), (&__pyx_v_model->_k_endog), (&__pyx_v_beta), (&(__pyx_v_kfilter->_M_inf[(__pyx_v_i * __pyx_v_kfilter->k_states)])), (&__pyx_v_inc));

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":445
 * 
 *     forecast_error_diffuse_cov = (
 *         blas.ddot(&k_states, &model._design[i], &model._k_endog,             # <<<<<<<<<<<<<<
 *                                       &kfilter._M_inf[i * kfilter.k_states], &inc)
 *     )
*/
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  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":448
 *                                       &kfilter._M_inf[i * kfilter.k_states], &inc)
 *     )
 *     kfilter._forecast_error_diffuse_cov[i + i*kfilter.k_endog] = forecast_error_diffuse_cov             # <<<<<<<<<<<<<<
 *     return forecast_error_diffuse_cov
 * 
*/
  (__pyx_v_kfilter->_forecast_error_diffuse_cov[(__pyx_v_i + (__pyx_v_i * __pyx_v_kfilter->k_endog))]) = __pyx_v_forecast_error_diffuse_cov;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":449
 *     )
 *     kfilter._forecast_error_diffuse_cov[i + i*kfilter.k_endog] = forecast_error_diffuse_cov
 *     return forecast_error_diffuse_cov             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __pyx_r = __pyx_v_forecast_error_diffuse_cov;
  goto __pyx_L0;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":416
 * 
 * 
 * cdef np.float64_t dforecast_error_diffuse_cov(dKalmanFilter kfilter, dStatespace model, int i):             # <<<<<<<<<<<<<<
 *     cdef:
 *         int inc = 1
*/

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":452
 * 
 * 
 * cdef int dprediction_univariate_diffuse(dKalmanFilter kfilter, dStatespace model):             # <<<<<<<<<<<<<<
 *     # Constants
 *     cdef:
*/

static int __pyx_f_11statsmodels_3tsa_10statespace_8_filters_19_univariate_diffuse_dprediction_univariate_diffuse(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_dKalmanFilter *__pyx_v_kfilter, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_dStatespace *__pyx_v_model) {
  CYTHON_UNUSED int __pyx_v_inc;
  CYTHON_UNUSED __pyx_t_5numpy_float64_t __pyx_v_alpha;
  CYTHON_UNUSED __pyx_t_5numpy_float64_t __pyx_v_beta;
  CYTHON_UNUSED __pyx_t_5numpy_float64_t __pyx_v_gamma;
  int __pyx_r;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":455
 *     # Constants
 *     cdef:
 *         int inc = 1             # <<<<<<<<<<<<<<
 *         int i, j
 *         np.float64_t alpha = 1.0
*/
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  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":457
 *         int inc = 1
 *         int i, j
 *         np.float64_t alpha = 1.0             # <<<<<<<<<<<<<<
 *         np.float64_t beta = 0.0
 *         np.float64_t gamma = -1.0
*/
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  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":458
 *         int i, j
 *         np.float64_t alpha = 1.0
 *         np.float64_t beta = 0.0             # <<<<<<<<<<<<<<
 *         np.float64_t gamma = -1.0
 * 
*/
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  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":459
 *         np.float64_t alpha = 1.0
 *         np.float64_t beta = 0.0
 *         np.float64_t gamma = -1.0             # <<<<<<<<<<<<<<
 * 
 *     dpredicted_state(kfilter, model)
*/
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  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":461
 *         np.float64_t gamma = -1.0
 * 
 *     dpredicted_state(kfilter, model)             # <<<<<<<<<<<<<<
 *     dpredicted_state_cov(kfilter, model)
 *     dpredicted_diffuse_state_cov(kfilter, model)
*/
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  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":462
 * 
 *     dpredicted_state(kfilter, model)
 *     dpredicted_state_cov(kfilter, model)             # <<<<<<<<<<<<<<
 *     dpredicted_diffuse_state_cov(kfilter, model)
 * 
*/
  __pyx_f_11statsmodels_3tsa_10statespace_8_filters_11_univariate_dpredicted_state_cov(__pyx_v_kfilter, __pyx_v_model); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 462, __pyx_L1_error)

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":463
 *     dpredicted_state(kfilter, model)
 *     dpredicted_state_cov(kfilter, model)
 *     dpredicted_diffuse_state_cov(kfilter, model)             # <<<<<<<<<<<<<<
 * 
 *     return 0
*/
  __pyx_f_11statsmodels_3tsa_10statespace_8_filters_19_univariate_diffuse_dpredicted_diffuse_state_cov(__pyx_v_kfilter, __pyx_v_model); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 463, __pyx_L1_error)

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":465
 *     dpredicted_diffuse_state_cov(kfilter, model)
 * 
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __pyx_r = 0;
  goto __pyx_L0;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":452
 * 
 * 
 * cdef int dprediction_univariate_diffuse(dKalmanFilter kfilter, dStatespace model):             # <<<<<<<<<<<<<<
 *     # Constants
 *     cdef:
*/

  /* function exit code */
  __pyx_L1_error:;
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/* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":468
 * 
 * 
 * cdef void dpredicted_diffuse_state_cov(dKalmanFilter kfilter, dStatespace model):             # <<<<<<<<<<<<<<
 *     cdef:
 *         int inc = 1
*/

static void __pyx_f_11statsmodels_3tsa_10statespace_8_filters_19_univariate_diffuse_dpredicted_diffuse_state_cov(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_dKalmanFilter *__pyx_v_kfilter, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_dStatespace *__pyx_v_model) {
  int __pyx_v_inc;
  __pyx_t_5numpy_float64_t __pyx_v_alpha;
  __pyx_t_5numpy_float64_t __pyx_v_beta;
  int __pyx_t_1;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":470
 * cdef void dpredicted_diffuse_state_cov(dKalmanFilter kfilter, dStatespace model):
 *     cdef:
 *         int inc = 1             # <<<<<<<<<<<<<<
 *         np.float64_t alpha = 1.0
 *         np.float64_t beta = 0.0
*/
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  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":471
 *     cdef:
 *         int inc = 1
 *         np.float64_t alpha = 1.0             # <<<<<<<<<<<<<<
 *         np.float64_t beta = 0.0
 * 
*/
  __pyx_v_alpha = 1.0;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":472
 *         int inc = 1
 *         np.float64_t alpha = 1.0
 *         np.float64_t beta = 0.0             # <<<<<<<<<<<<<<
 * 
 *     # Need special handling for the completely missing case, since the
*/
  __pyx_v_beta = 0.0;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":477
 *     # conventional Kalman filter routines are used in this case and they do not
 *     # copy over the predicted diffuse state cov
 *     if model._nmissing == model.k_endog:             # <<<<<<<<<<<<<<
 *         blas.dcopy(&kfilter.k_states2, kfilter._input_diffuse_state_cov, &inc,
 *                                                 kfilter._predicted_diffuse_state_cov, &inc)
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  if (__pyx_t_1) {

    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":478
 *     # copy over the predicted diffuse state cov
 *     if model._nmissing == model.k_endog:
 *         blas.dcopy(&kfilter.k_states2, kfilter._input_diffuse_state_cov, &inc,             # <<<<<<<<<<<<<<
 *                                                 kfilter._predicted_diffuse_state_cov, &inc)
 * 
*/
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    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":477
 *     # conventional Kalman filter routines are used in this case and they do not
 *     # copy over the predicted diffuse state cov
 *     if model._nmissing == model.k_endog:             # <<<<<<<<<<<<<<
 *         blas.dcopy(&kfilter.k_states2, kfilter._input_diffuse_state_cov, &inc,
 *                                                 kfilter._predicted_diffuse_state_cov, &inc)
*/
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  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":482
 * 
 *     # P_t1_inf[:] = np.dot(np.dot(T, P_t_inf), T.T)
 *     blas.dgemm("N", "N", &model._k_states, &model._k_states, &model._k_states,             # <<<<<<<<<<<<<<
 *           &alpha, model._transition, &model._k_states,
 *                   kfilter._predicted_diffuse_state_cov, &kfilter.k_states,
*/
  __pyx_f_5scipy_6linalg_11cython_blas_dgemm(((char *)"N"), ((char *)"N"), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_alpha), __pyx_v_model->_transition, (&__pyx_v_model->_k_states), __pyx_v_kfilter->_predicted_diffuse_state_cov, (&__pyx_v_kfilter->k_states), (&__pyx_v_beta), __pyx_v_kfilter->_tmp0, (&__pyx_v_kfilter->k_states));

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":488
 *     # $P_{t+1} = 1.0 \\#_0 T_t' + 1.0 \\#$
 *     # $(m \times m) = (m \times m) (m \times m) + (m \times m)$
 *     blas.dgemm("N", "T", &model._k_states, &model._k_states, &model._k_states,             # <<<<<<<<<<<<<<
 *           &alpha, kfilter._tmp0, &kfilter.k_states,
 *                   model._transition, &model._k_states,
*/
  __pyx_f_5scipy_6linalg_11cython_blas_dgemm(((char *)"N"), ((char *)"T"), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_alpha), __pyx_v_kfilter->_tmp0, (&__pyx_v_kfilter->k_states), __pyx_v_model->_transition, (&__pyx_v_model->_k_states), (&__pyx_v_beta), __pyx_v_kfilter->_predicted_diffuse_state_cov, (&__pyx_v_kfilter->k_states));

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":468
 * 
 * 
 * cdef void dpredicted_diffuse_state_cov(dKalmanFilter kfilter, dStatespace model):             # <<<<<<<<<<<<<<
 *     cdef:
 *         int inc = 1
*/

  /* function exit code */
}

/* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":495
 * 
 * # Note: updating, inverse, loglikelihood are all performed in prior steps
 * cdef int dupdating_univariate_diffuse(dKalmanFilter kfilter, dStatespace model):             # <<<<<<<<<<<<<<
 *     return 0
 * 
*/

static int __pyx_f_11statsmodels_3tsa_10statespace_8_filters_19_univariate_diffuse_dupdating_univariate_diffuse(CYTHON_UNUSED struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_dKalmanFilter *__pyx_v_kfilter, CYTHON_UNUSED struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_dStatespace *__pyx_v_model) {
  int __pyx_r;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":496
 * # Note: updating, inverse, loglikelihood are all performed in prior steps
 * cdef int dupdating_univariate_diffuse(dKalmanFilter kfilter, dStatespace model):
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * cdef np.float64_t dinverse_noop_univariate_diffuse(dKalmanFilter kfilter, dStatespace model, np.float64_t determinant) except *:
*/
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  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":495
 * 
 * # Note: updating, inverse, loglikelihood are all performed in prior steps
 * cdef int dupdating_univariate_diffuse(dKalmanFilter kfilter, dStatespace model):             # <<<<<<<<<<<<<<
 *     return 0
 * 
*/

  /* function exit code */
  __pyx_L0:;
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/* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":498
 *     return 0
 * 
 * cdef np.float64_t dinverse_noop_univariate_diffuse(dKalmanFilter kfilter, dStatespace model, np.float64_t determinant) except *:             # <<<<<<<<<<<<<<
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 * 
*/

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 * 
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 *     return -np.inf             # <<<<<<<<<<<<<<
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 * cdef np.float64_t dloglikelihood_univariate_diffuse(dKalmanFilter kfilter, dStatespace model, np.float64_t determinant):
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  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":498
 *     return 0
 * 
 * cdef np.float64_t dinverse_noop_univariate_diffuse(dKalmanFilter kfilter, dStatespace model, np.float64_t determinant) except *:             # <<<<<<<<<<<<<<
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/* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":501
 *     return -np.inf
 * 
 * cdef np.float64_t dloglikelihood_univariate_diffuse(dKalmanFilter kfilter, dStatespace model, np.float64_t determinant):             # <<<<<<<<<<<<<<
 *     return 0
 * 
*/

static __pyx_t_5numpy_float64_t __pyx_f_11statsmodels_3tsa_10statespace_8_filters_19_univariate_diffuse_dloglikelihood_univariate_diffuse(CYTHON_UNUSED struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_dKalmanFilter *__pyx_v_kfilter, CYTHON_UNUSED struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_dStatespace *__pyx_v_model, CYTHON_UNUSED __pyx_t_5numpy_float64_t __pyx_v_determinant) {
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  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":502
 * 
 * cdef np.float64_t dloglikelihood_univariate_diffuse(dKalmanFilter kfilter, dStatespace model, np.float64_t determinant):
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * from statsmodels.tsa.statespace._filters._univariate cimport (
*/
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  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":501
 *     return -np.inf
 * 
 * cdef np.float64_t dloglikelihood_univariate_diffuse(dKalmanFilter kfilter, dStatespace model, np.float64_t determinant):             # <<<<<<<<<<<<<<
 *     return 0
 * 
*/

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/* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":514
 * # See Durbin and Koopman (2012) Chapter 6.4
 * 
 * cdef int cforecast_univariate_diffuse(cKalmanFilter kfilter, cStatespace model):             # <<<<<<<<<<<<<<
 *     # Constants
 *     cdef:
*/

static int __pyx_f_11statsmodels_3tsa_10statespace_8_filters_19_univariate_diffuse_cforecast_univariate_diffuse(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_cKalmanFilter *__pyx_v_kfilter, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_cStatespace *__pyx_v_model) {
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  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":518
 *     cdef:
 *         int i, j, k
 *         int inc = 1             # <<<<<<<<<<<<<<
 *         np.complex64_t forecast_error_cov, forecast_error_cov_inv, forecast_error_diffuse_cov, forecast_error_diffuse_cov_inv, F1, F12
 *         np.complex64_t alpha = 1.0
*/
  __pyx_v_inc = 1;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":520
 *         int inc = 1
 *         np.complex64_t forecast_error_cov, forecast_error_cov_inv, forecast_error_diffuse_cov, forecast_error_diffuse_cov_inv, F1, F12
 *         np.complex64_t alpha = 1.0             # <<<<<<<<<<<<<<
 *         np.complex64_t beta = 0.0
 *         np.complex64_t gamma = -1.0
*/
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  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":521
 *         np.complex64_t forecast_error_cov, forecast_error_cov_inv, forecast_error_diffuse_cov, forecast_error_diffuse_cov_inv, F1, F12
 *         np.complex64_t alpha = 1.0
 *         np.complex64_t beta = 0.0             # <<<<<<<<<<<<<<
 *         np.complex64_t gamma = -1.0
 * 
*/
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  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":522
 *         np.complex64_t alpha = 1.0
 *         np.complex64_t beta = 0.0
 *         np.complex64_t gamma = -1.0             # <<<<<<<<<<<<<<
 * 
 *     # Initialize the filtered states
*/
  __pyx_v_gamma = __pyx_t_float_complex_from_parts(-1.0, 0);

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":525
 * 
 *     # Initialize the filtered states
 *     blas.ccopy(&kfilter.k_states, kfilter._input_state, &inc,             # <<<<<<<<<<<<<<
 *                                            kfilter._filtered_state, &inc)
 *     blas.ccopy(&kfilter.k_states2, kfilter._input_state_cov, &inc,
*/
  __pyx_f_5scipy_6linalg_11cython_blas_ccopy((&__pyx_v_kfilter->k_states), __pyx_v_kfilter->_input_state, (&__pyx_v_inc), __pyx_v_kfilter->_filtered_state, (&__pyx_v_inc));

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":527
 *     blas.ccopy(&kfilter.k_states, kfilter._input_state, &inc,
 *                                            kfilter._filtered_state, &inc)
 *     blas.ccopy(&kfilter.k_states2, kfilter._input_state_cov, &inc,             # <<<<<<<<<<<<<<
 *                                             kfilter._filtered_state_cov, &inc)
 *     blas.ccopy(&kfilter.k_states2, kfilter._input_diffuse_state_cov, &inc,
*/
  __pyx_f_5scipy_6linalg_11cython_blas_ccopy((&__pyx_v_kfilter->k_states2), __pyx_v_kfilter->_input_state_cov, (&__pyx_v_inc), __pyx_v_kfilter->_filtered_state_cov, (&__pyx_v_inc));

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":529
 *     blas.ccopy(&kfilter.k_states2, kfilter._input_state_cov, &inc,
 *                                             kfilter._filtered_state_cov, &inc)
 *     blas.ccopy(&kfilter.k_states2, kfilter._input_diffuse_state_cov, &inc,             # <<<<<<<<<<<<<<
 *                                             kfilter._predicted_diffuse_state_cov, &inc)
 * 
*/
  __pyx_f_5scipy_6linalg_11cython_blas_ccopy((&__pyx_v_kfilter->k_states2), __pyx_v_kfilter->_input_diffuse_state_cov, (&__pyx_v_inc), __pyx_v_kfilter->_predicted_diffuse_state_cov, (&__pyx_v_inc));

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":533
 * 
 *     # Iterate over endogenous variables
 *     for i in range(model._k_endog):             # <<<<<<<<<<<<<<
 *         # forecast_t, v_t,
 *         cforecast_error(kfilter, model, i)
*/
  __pyx_t_1 = __pyx_v_model->_k_endog;
  __pyx_t_2 = __pyx_t_1;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":535
 *     for i in range(model._k_endog):
 *         # forecast_t, v_t,
 *         cforecast_error(kfilter, model, i)             # <<<<<<<<<<<<<<
 * 
 *         # F_{*,t}
*/
    __pyx_f_11statsmodels_3tsa_10statespace_8_filters_11_univariate_cforecast_error(__pyx_v_kfilter, __pyx_v_model, __pyx_v_i); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 535, __pyx_L1_error)

    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":538
 * 
 *         # F_{*,t}
 *         forecast_error_cov = cforecast_error_cov(kfilter, model, i)             # <<<<<<<<<<<<<<
 *         if forecast_error_cov.real < 0:
 *             kfilter._forecast_error_cov[i + i*kfilter.k_endog] = 0
*/
    __pyx_t_4 = __pyx_f_11statsmodels_3tsa_10statespace_8_filters_11_univariate_cforecast_error_cov(__pyx_v_kfilter, __pyx_v_model, __pyx_v_i); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 538, __pyx_L1_error)
    __pyx_v_forecast_error_cov = __pyx_t_4;

    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":539
 *         # F_{*,t}
 *         forecast_error_cov = cforecast_error_cov(kfilter, model, i)
 *         if forecast_error_cov.real < 0:             # <<<<<<<<<<<<<<
 *             kfilter._forecast_error_cov[i + i*kfilter.k_endog] = 0
 *             forecast_error_cov = 0
*/
    __pyx_t_5 = (__Pyx_CREAL(__pyx_v_forecast_error_cov) < 0.0);
    if (__pyx_t_5) {

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":540
 *         forecast_error_cov = cforecast_error_cov(kfilter, model, i)
 *         if forecast_error_cov.real < 0:
 *             kfilter._forecast_error_cov[i + i*kfilter.k_endog] = 0             # <<<<<<<<<<<<<<
 *             forecast_error_cov = 0
 * 
*/
      (__pyx_v_kfilter->_forecast_error_cov[(__pyx_v_i + (__pyx_v_i * __pyx_v_kfilter->k_endog))]) = __pyx_t_float_complex_from_parts(0, 0);

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":541
 *         if forecast_error_cov.real < 0:
 *             kfilter._forecast_error_cov[i + i*kfilter.k_endog] = 0
 *             forecast_error_cov = 0             # <<<<<<<<<<<<<<
 * 
 *         # Save temporary array data
*/
      __pyx_v_forecast_error_cov = __pyx_t_float_complex_from_parts(0, 0);

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":539
 *         # F_{*,t}
 *         forecast_error_cov = cforecast_error_cov(kfilter, model, i)
 *         if forecast_error_cov.real < 0:             # <<<<<<<<<<<<<<
 *             kfilter._forecast_error_cov[i + i*kfilter.k_endog] = 0
 *             forecast_error_cov = 0
*/
    }

    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":544
 * 
 *         # Save temporary array data
 *         if not forecast_error_cov == 0:             # <<<<<<<<<<<<<<
 *             forecast_error_cov_inv = 1.0 / forecast_error_cov
 *             ctemp_arrays(kfilter, model, i, forecast_error_cov_inv)
*/
    __pyx_t_5 = (!(__Pyx_c_eq_float(__pyx_v_forecast_error_cov, __pyx_t_float_complex_from_parts(0, 0))));
    if (__pyx_t_5) {

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":545
 *         # Save temporary array data
 *         if not forecast_error_cov == 0:
 *             forecast_error_cov_inv = 1.0 / forecast_error_cov             # <<<<<<<<<<<<<<
 *             ctemp_arrays(kfilter, model, i, forecast_error_cov_inv)
 * 
*/
      __pyx_t_6 = __pyx_t_double_complex_from_parts(1.0, 0);
      __pyx_t_7 = __pyx_t_double_complex_from_parts(__Pyx_CREAL(__pyx_v_forecast_error_cov), __Pyx_CIMAG(__pyx_v_forecast_error_cov));
      if (unlikely(__Pyx_c_is_zero_double(__pyx_t_7))) {
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      __pyx_t_8 = __Pyx_c_quot_double(__pyx_t_6, __pyx_t_7);
      __pyx_v_forecast_error_cov_inv = __pyx_t_float_complex_from_parts(__Pyx_CREAL(__pyx_t_8), __Pyx_CIMAG(__pyx_t_8));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":546
 *         if not forecast_error_cov == 0:
 *             forecast_error_cov_inv = 1.0 / forecast_error_cov
 *             ctemp_arrays(kfilter, model, i, forecast_error_cov_inv)             # <<<<<<<<<<<<<<
 * 
 *         # F_{\infty,t}
*/
      __pyx_f_11statsmodels_3tsa_10statespace_8_filters_11_univariate_ctemp_arrays(__pyx_v_kfilter, __pyx_v_model, __pyx_v_i, __pyx_v_forecast_error_cov_inv); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 546, __pyx_L1_error)

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":544
 * 
 *         # Save temporary array data
 *         if not forecast_error_cov == 0:             # <<<<<<<<<<<<<<
 *             forecast_error_cov_inv = 1.0 / forecast_error_cov
 *             ctemp_arrays(kfilter, model, i, forecast_error_cov_inv)
*/
    }

    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":549
 * 
 *         # F_{\infty,t}
 *         forecast_error_diffuse_cov = cforecast_error_diffuse_cov(kfilter, model, i)             # <<<<<<<<<<<<<<
 *         if forecast_error_diffuse_cov.real < 0:
 *             kfilter._forecast_error_diffuse_cov[i + i*kfilter.k_endog] = 0
*/
    __pyx_t_4 = __pyx_f_11statsmodels_3tsa_10statespace_8_filters_19_univariate_diffuse_cforecast_error_diffuse_cov(__pyx_v_kfilter, __pyx_v_model, __pyx_v_i); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 549, __pyx_L1_error)
    __pyx_v_forecast_error_diffuse_cov = __pyx_t_4;

    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":550
 *         # F_{\infty,t}
 *         forecast_error_diffuse_cov = cforecast_error_diffuse_cov(kfilter, model, i)
 *         if forecast_error_diffuse_cov.real < 0:             # <<<<<<<<<<<<<<
 *             kfilter._forecast_error_diffuse_cov[i + i*kfilter.k_endog] = 0
 *             forecast_error_diffuse_cov = 0
*/
    __pyx_t_5 = (__Pyx_CREAL(__pyx_v_forecast_error_diffuse_cov) < 0.0);
    if (__pyx_t_5) {

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":551
 *         forecast_error_diffuse_cov = cforecast_error_diffuse_cov(kfilter, model, i)
 *         if forecast_error_diffuse_cov.real < 0:
 *             kfilter._forecast_error_diffuse_cov[i + i*kfilter.k_endog] = 0             # <<<<<<<<<<<<<<
 *             forecast_error_diffuse_cov = 0
 * 
*/
      (__pyx_v_kfilter->_forecast_error_diffuse_cov[(__pyx_v_i + (__pyx_v_i * __pyx_v_kfilter->k_endog))]) = __pyx_t_float_complex_from_parts(0, 0);

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":552
 *         if forecast_error_diffuse_cov.real < 0:
 *             kfilter._forecast_error_diffuse_cov[i + i*kfilter.k_endog] = 0
 *             forecast_error_diffuse_cov = 0             # <<<<<<<<<<<<<<
 * 
 *         # F_{\infty, i, i, t} > 0
*/
      __pyx_v_forecast_error_diffuse_cov = __pyx_t_float_complex_from_parts(0, 0);

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":550
 *         # F_{\infty,t}
 *         forecast_error_diffuse_cov = cforecast_error_diffuse_cov(kfilter, model, i)
 *         if forecast_error_diffuse_cov.real < 0:             # <<<<<<<<<<<<<<
 *             kfilter._forecast_error_diffuse_cov[i + i*kfilter.k_endog] = 0
 *             forecast_error_diffuse_cov = 0
*/
    }

    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":555
 * 
 *         # F_{\infty, i, i, t} > 0
 *         if forecast_error_diffuse_cov.real > kfilter.tolerance_diffuse:             # <<<<<<<<<<<<<<
 *             forecast_error_diffuse_cov_inv = 1.0 / forecast_error_diffuse_cov
 * 
*/
    __pyx_t_5 = (__Pyx_CREAL(__pyx_v_forecast_error_diffuse_cov) > __pyx_v_kfilter->tolerance_diffuse);
    if (__pyx_t_5) {

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":556
 *         # F_{\infty, i, i, t} > 0
 *         if forecast_error_diffuse_cov.real > kfilter.tolerance_diffuse:
 *             forecast_error_diffuse_cov_inv = 1.0 / forecast_error_diffuse_cov             # <<<<<<<<<<<<<<
 * 
 *             F1 = forecast_error_diffuse_cov_inv
*/
      __pyx_t_8 = __pyx_t_double_complex_from_parts(1.0, 0);
      __pyx_t_7 = __pyx_t_double_complex_from_parts(__Pyx_CREAL(__pyx_v_forecast_error_diffuse_cov), __Pyx_CIMAG(__pyx_v_forecast_error_diffuse_cov));
      if (unlikely(__Pyx_c_is_zero_double(__pyx_t_7))) {
        PyErr_SetString(PyExc_ZeroDivisionError, "float division");
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      __pyx_t_6 = __Pyx_c_quot_double(__pyx_t_8, __pyx_t_7);
      __pyx_v_forecast_error_diffuse_cov_inv = __pyx_t_float_complex_from_parts(__Pyx_CREAL(__pyx_t_6), __Pyx_CIMAG(__pyx_t_6));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":558
 *             forecast_error_diffuse_cov_inv = 1.0 / forecast_error_diffuse_cov
 * 
 *             F1 = forecast_error_diffuse_cov_inv             # <<<<<<<<<<<<<<
 *             # Usually F2 = -forecast_error_cov * forecast_error_diffuse_cov_inv**2
 *             # but this version is more convenient for the *axpy call
*/
      __pyx_v_F1 = __pyx_v_forecast_error_diffuse_cov_inv;

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":561
 *             # Usually F2 = -forecast_error_cov * forecast_error_diffuse_cov_inv**2
 *             # but this version is more convenient for the *axpy call
 *             F12 = -forecast_error_cov * forecast_error_diffuse_cov_inv             # <<<<<<<<<<<<<<
 * 
 *             # K0 = M_inf[:, i:i+1] * F1
*/
      __pyx_v_F12 = __Pyx_c_prod_float(__Pyx_c_neg_float(__pyx_v_forecast_error_cov), __pyx_v_forecast_error_diffuse_cov_inv);

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":564
 * 
 *             # K0 = M_inf[:, i:i+1] * F1
 *             blas.ccopy(&kfilter.k_states, &kfilter._M_inf[i * kfilter.k_states], &inc, kfilter._tmpK0, &inc)             # <<<<<<<<<<<<<<
 *             blas.cscal(&kfilter.k_states, &F1, kfilter._tmpK0, &inc)
 *             # K1 = M[:, i:i+1] * F1 + M_inf[:, i:i+1] * F2
*/
      __pyx_f_5scipy_6linalg_11cython_blas_ccopy((&__pyx_v_kfilter->k_states), (&(__pyx_v_kfilter->_M_inf[(__pyx_v_i * __pyx_v_kfilter->k_states)])), (&__pyx_v_inc), __pyx_v_kfilter->_tmpK0, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":565
 *             # K0 = M_inf[:, i:i+1] * F1
 *             blas.ccopy(&kfilter.k_states, &kfilter._M_inf[i * kfilter.k_states], &inc, kfilter._tmpK0, &inc)
 *             blas.cscal(&kfilter.k_states, &F1, kfilter._tmpK0, &inc)             # <<<<<<<<<<<<<<
 *             # K1 = M[:, i:i+1] * F1 + M_inf[:, i:i+1] * F2
 *             # K1 = M[:, i:i+1] * F1 + K0 * F12
*/
      __pyx_f_5scipy_6linalg_11cython_blas_cscal((&__pyx_v_kfilter->k_states), (&__pyx_v_F1), __pyx_v_kfilter->_tmpK0, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":568
 *             # K1 = M[:, i:i+1] * F1 + M_inf[:, i:i+1] * F2
 *             # K1 = M[:, i:i+1] * F1 + K0 * F12
 *             blas.ccopy(&kfilter.k_states, &kfilter._M[i*kfilter.k_states], &inc, kfilter._tmpK1, &inc)             # <<<<<<<<<<<<<<
 *             blas.cscal(&kfilter.k_states, &F1, kfilter._tmpK1, &inc)
 *             blas.caxpy(&kfilter.k_states, &F12, kfilter._tmpK0, &inc, kfilter._tmpK1, &inc)
*/
      __pyx_f_5scipy_6linalg_11cython_blas_ccopy((&__pyx_v_kfilter->k_states), (&(__pyx_v_kfilter->_M[(__pyx_v_i * __pyx_v_kfilter->k_states)])), (&__pyx_v_inc), __pyx_v_kfilter->_tmpK1, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":569
 *             # K1 = M[:, i:i+1] * F1 + K0 * F12
 *             blas.ccopy(&kfilter.k_states, &kfilter._M[i*kfilter.k_states], &inc, kfilter._tmpK1, &inc)
 *             blas.cscal(&kfilter.k_states, &F1, kfilter._tmpK1, &inc)             # <<<<<<<<<<<<<<
 *             blas.caxpy(&kfilter.k_states, &F12, kfilter._tmpK0, &inc, kfilter._tmpK1, &inc)
 *             # L0 = np.eye(m) - np.dot(K0, Zi)
*/
      __pyx_f_5scipy_6linalg_11cython_blas_cscal((&__pyx_v_kfilter->k_states), (&__pyx_v_F1), __pyx_v_kfilter->_tmpK1, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":570
 *             blas.ccopy(&kfilter.k_states, &kfilter._M[i*kfilter.k_states], &inc, kfilter._tmpK1, &inc)
 *             blas.cscal(&kfilter.k_states, &F1, kfilter._tmpK1, &inc)
 *             blas.caxpy(&kfilter.k_states, &F12, kfilter._tmpK0, &inc, kfilter._tmpK1, &inc)             # <<<<<<<<<<<<<<
 *             # L0 = np.eye(m) - np.dot(K0, Zi)
 *             kfilter.tmpL0[:] = 0
*/
      __pyx_f_5scipy_6linalg_11cython_blas_caxpy((&__pyx_v_kfilter->k_states), (&__pyx_v_F12), __pyx_v_kfilter->_tmpK0, (&__pyx_v_inc), __pyx_v_kfilter->_tmpK1, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":572
 *             blas.caxpy(&kfilter.k_states, &F12, kfilter._tmpK0, &inc, kfilter._tmpK1, &inc)
 *             # L0 = np.eye(m) - np.dot(K0, Zi)
 *             kfilter.tmpL0[:] = 0             # <<<<<<<<<<<<<<
 *             blas.cgeru(&model._k_states, &model._k_states, &gamma, kfilter._tmpK0, &inc, &model._design[i], &model._k_endog, kfilter._tmpL0, &kfilter.k_states)
 *             for j in range(kfilter.k_states):
*/
      if (unlikely(!__pyx_v_kfilter->tmpL0.memview)) {PyErr_SetString(PyExc_AttributeError,"Memoryview is not initialized");__PYX_ERR(0, 572, __pyx_L1_error)}
      {
          __pyx_t_float_complex __pyx_temp_scalar = __pyx_t_float_complex_from_parts(0, 0);
          {
              Py_ssize_t __pyx_temp_extent = __pyx_v_kfilter->tmpL0.shape[0] * __pyx_v_kfilter->tmpL0.shape[1];
              Py_ssize_t __pyx_temp_idx;
              __pyx_t_float_complex *__pyx_temp_pointer = (__pyx_t_float_complex *) __pyx_v_kfilter->tmpL0.data;
              for (__pyx_temp_idx = 0; __pyx_temp_idx < __pyx_temp_extent; __pyx_temp_idx++) {
                *((__pyx_t_float_complex *) __pyx_temp_pointer) = __pyx_temp_scalar;
                __pyx_temp_pointer += 1;
              }
          }
      }

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":573
 *             # L0 = np.eye(m) - np.dot(K0, Zi)
 *             kfilter.tmpL0[:] = 0
 *             blas.cgeru(&model._k_states, &model._k_states, &gamma, kfilter._tmpK0, &inc, &model._design[i], &model._k_endog, kfilter._tmpL0, &kfilter.k_states)             # <<<<<<<<<<<<<<
 *             for j in range(kfilter.k_states):
 *                 kfilter._tmpL0[j + j*kfilter.k_states] = kfilter._tmpL0[j + j*kfilter.k_states] + 1
*/
      __pyx_f_5scipy_6linalg_11cython_blas_cgeru((&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_gamma), __pyx_v_kfilter->_tmpK0, (&__pyx_v_inc), (&(__pyx_v_model->_design[__pyx_v_i])), (&__pyx_v_model->_k_endog), __pyx_v_kfilter->_tmpL0, (&__pyx_v_kfilter->k_states));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":574
 *             kfilter.tmpL0[:] = 0
 *             blas.cgeru(&model._k_states, &model._k_states, &gamma, kfilter._tmpK0, &inc, &model._design[i], &model._k_endog, kfilter._tmpL0, &kfilter.k_states)
 *             for j in range(kfilter.k_states):             # <<<<<<<<<<<<<<
 *                 kfilter._tmpL0[j + j*kfilter.k_states] = kfilter._tmpL0[j + j*kfilter.k_states] + 1
 *             # L1 = -np.dot(K1, Zi)
*/
      __pyx_t_9 = __pyx_v_kfilter->k_states;
      __pyx_t_10 = __pyx_t_9;
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        __pyx_v_j = __pyx_t_11;

        /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":575
 *             blas.cgeru(&model._k_states, &model._k_states, &gamma, kfilter._tmpK0, &inc, &model._design[i], &model._k_endog, kfilter._tmpL0, &kfilter.k_states)
 *             for j in range(kfilter.k_states):
 *                 kfilter._tmpL0[j + j*kfilter.k_states] = kfilter._tmpL0[j + j*kfilter.k_states] + 1             # <<<<<<<<<<<<<<
 *             # L1 = -np.dot(K1, Zi)
 *             kfilter.tmpL1[:] = 0
*/
        (__pyx_v_kfilter->_tmpL0[(__pyx_v_j + (__pyx_v_j * __pyx_v_kfilter->k_states))]) = __Pyx_c_sum_float((__pyx_v_kfilter->_tmpL0[(__pyx_v_j + (__pyx_v_j * __pyx_v_kfilter->k_states))]), __pyx_t_float_complex_from_parts(1, 0));
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      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":577
 *                 kfilter._tmpL0[j + j*kfilter.k_states] = kfilter._tmpL0[j + j*kfilter.k_states] + 1
 *             # L1 = -np.dot(K1, Zi)
 *             kfilter.tmpL1[:] = 0             # <<<<<<<<<<<<<<
 *             blas.cgeru(&model._k_states, &model._k_states, &gamma, kfilter._tmpK1, &inc, &model._design[i], &model._k_endog, kfilter._tmpL1, &kfilter.k_states)
 * 
*/
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      {
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              Py_ssize_t __pyx_temp_idx;
              __pyx_t_float_complex *__pyx_temp_pointer = (__pyx_t_float_complex *) __pyx_v_kfilter->tmpL1.data;
              for (__pyx_temp_idx = 0; __pyx_temp_idx < __pyx_temp_extent; __pyx_temp_idx++) {
                *((__pyx_t_float_complex *) __pyx_temp_pointer) = __pyx_temp_scalar;
                __pyx_temp_pointer += 1;
              }
          }
      }

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":578
 *             # L1 = -np.dot(K1, Zi)
 *             kfilter.tmpL1[:] = 0
 *             blas.cgeru(&model._k_states, &model._k_states, &gamma, kfilter._tmpK1, &inc, &model._design[i], &model._k_endog, kfilter._tmpL1, &kfilter.k_states)             # <<<<<<<<<<<<<<
 * 
 *             # a_t = a_t + K0[:, 0] * v[i]
*/
      __pyx_f_5scipy_6linalg_11cython_blas_cgeru((&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_gamma), __pyx_v_kfilter->_tmpK1, (&__pyx_v_inc), (&(__pyx_v_model->_design[__pyx_v_i])), (&__pyx_v_model->_k_endog), __pyx_v_kfilter->_tmpL1, (&__pyx_v_kfilter->k_states));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":581
 * 
 *             # a_t = a_t + K0[:, 0] * v[i]
 *             blas.caxpy(&kfilter.k_states, &kfilter._forecast_error[i], kfilter._tmpK0, &inc, kfilter._filtered_state, &inc)             # <<<<<<<<<<<<<<
 * 
 *             # P_t = np.dot(P_t_inf, L1.T) + np.dot(P_t, L0.T)
*/
      __pyx_f_5scipy_6linalg_11cython_blas_caxpy((&__pyx_v_kfilter->k_states), (&(__pyx_v_kfilter->_forecast_error[__pyx_v_i])), __pyx_v_kfilter->_tmpK0, (&__pyx_v_inc), __pyx_v_kfilter->_filtered_state, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":585
 *             # P_t = np.dot(P_t_inf, L1.T) + np.dot(P_t, L0.T)
 *             # `tmp0` array used here, dimension $(m \times m)$
 *             blas.ccopy(&kfilter.k_states2, kfilter._filtered_state_cov, &inc, kfilter._tmp0, &inc)             # <<<<<<<<<<<<<<
 *             blas.cgemm("N", "T", &model._k_states, &model._k_states, &model._k_states,
 *               &alpha, kfilter._tmp0, &kfilter.k_states,
*/
      __pyx_f_5scipy_6linalg_11cython_blas_ccopy((&__pyx_v_kfilter->k_states2), __pyx_v_kfilter->_filtered_state_cov, (&__pyx_v_inc), __pyx_v_kfilter->_tmp0, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":586
 *             # `tmp0` array used here, dimension $(m \times m)$
 *             blas.ccopy(&kfilter.k_states2, kfilter._filtered_state_cov, &inc, kfilter._tmp0, &inc)
 *             blas.cgemm("N", "T", &model._k_states, &model._k_states, &model._k_states,             # <<<<<<<<<<<<<<
 *               &alpha, kfilter._tmp0, &kfilter.k_states,
 *                       kfilter._tmpL0, &kfilter.k_states,
*/
      __pyx_f_5scipy_6linalg_11cython_blas_cgemm(((char *)"N"), ((char *)"T"), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_alpha), __pyx_v_kfilter->_tmp0, (&__pyx_v_kfilter->k_states), __pyx_v_kfilter->_tmpL0, (&__pyx_v_kfilter->k_states), (&__pyx_v_beta), __pyx_v_kfilter->_filtered_state_cov, (&__pyx_v_kfilter->k_states));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":590
 *                       kfilter._tmpL0, &kfilter.k_states,
 *               &beta, kfilter._filtered_state_cov, &kfilter.k_states)
 *             blas.cgemm("N", "T", &model._k_states, &model._k_states, &model._k_states,             # <<<<<<<<<<<<<<
 *               &alpha, kfilter._predicted_diffuse_state_cov, &kfilter.k_states,
 *                       kfilter._tmpL1, &kfilter.k_states,
*/
      __pyx_f_5scipy_6linalg_11cython_blas_cgemm(((char *)"N"), ((char *)"T"), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_alpha), __pyx_v_kfilter->_predicted_diffuse_state_cov, (&__pyx_v_kfilter->k_states), __pyx_v_kfilter->_tmpL1, (&__pyx_v_kfilter->k_states), (&__pyx_v_alpha), __pyx_v_kfilter->_filtered_state_cov, (&__pyx_v_kfilter->k_states));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":595
 *               &alpha, kfilter._filtered_state_cov, &kfilter.k_states)
 *             # P_t_inf = np.dot(P_t_inf, L0.T)
 *             blas.ccopy(&kfilter.k_states2, kfilter._predicted_diffuse_state_cov, &inc, kfilter._tmp0, &inc)             # <<<<<<<<<<<<<<
 *             blas.cgemm("N", "T", &model._k_states, &model._k_states, &model._k_states,
 *               &alpha, kfilter._tmp0, &kfilter.k_states,
*/
      __pyx_f_5scipy_6linalg_11cython_blas_ccopy((&__pyx_v_kfilter->k_states2), __pyx_v_kfilter->_predicted_diffuse_state_cov, (&__pyx_v_inc), __pyx_v_kfilter->_tmp0, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":596
 *             # P_t_inf = np.dot(P_t_inf, L0.T)
 *             blas.ccopy(&kfilter.k_states2, kfilter._predicted_diffuse_state_cov, &inc, kfilter._tmp0, &inc)
 *             blas.cgemm("N", "T", &model._k_states, &model._k_states, &model._k_states,             # <<<<<<<<<<<<<<
 *               &alpha, kfilter._tmp0, &kfilter.k_states,
 *                       kfilter._tmpL0, &kfilter.k_states,
*/
      __pyx_f_5scipy_6linalg_11cython_blas_cgemm(((char *)"N"), ((char *)"T"), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_alpha), __pyx_v_kfilter->_tmp0, (&__pyx_v_kfilter->k_states), __pyx_v_kfilter->_tmpL0, (&__pyx_v_kfilter->k_states), (&__pyx_v_beta), __pyx_v_kfilter->_predicted_diffuse_state_cov, (&__pyx_v_kfilter->k_states));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":603
 *             # Loglikelihood
 *             kfilter._loglikelihood[0] = (
 *                 kfilter._loglikelihood[0] - 0.5*(             # <<<<<<<<<<<<<<
 *                     zlog(2 * M_PI * forecast_error_diffuse_cov)))
 *         elif forecast_error_cov.real > kfilter.tolerance_diffuse:
*/
      __pyx_t_6 = __Pyx_c_diff_double(__pyx_t_double_complex_from_parts(__Pyx_CREAL((__pyx_v_kfilter->_loglikelihood[0])), __Pyx_CIMAG((__pyx_v_kfilter->_loglikelihood[0]))), __Pyx_c_prod_double(__pyx_t_double_complex_from_parts(0.5, 0), __pyx_f_11statsmodels_3src_4math_zlog(__Pyx_c_prod_double(__pyx_t_double_complex_from_parts((2.0 * M_PI), 0), __pyx_t_double_complex_from_parts(__Pyx_CREAL(__pyx_v_forecast_error_diffuse_cov), __Pyx_CIMAG(__pyx_v_forecast_error_diffuse_cov))))));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":602
 * 
 *             # Loglikelihood
 *             kfilter._loglikelihood[0] = (             # <<<<<<<<<<<<<<
 *                 kfilter._loglikelihood[0] - 0.5*(
 *                     zlog(2 * M_PI * forecast_error_diffuse_cov)))
*/
      (__pyx_v_kfilter->_loglikelihood[0]) = __pyx_t_float_complex_from_parts(__Pyx_CREAL(__pyx_t_6), __Pyx_CIMAG(__pyx_t_6));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":555
 * 
 *         # F_{\infty, i, i, t} > 0
 *         if forecast_error_diffuse_cov.real > kfilter.tolerance_diffuse:             # <<<<<<<<<<<<<<
 *             forecast_error_diffuse_cov_inv = 1.0 / forecast_error_diffuse_cov
 * 
*/
      goto __pyx_L8;
    }

    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":605
 *                 kfilter._loglikelihood[0] - 0.5*(
 *                     zlog(2 * M_PI * forecast_error_diffuse_cov)))
 *         elif forecast_error_cov.real > kfilter.tolerance_diffuse:             # <<<<<<<<<<<<<<
 *             kfilter.nobs_kendog_diffuse_nonsingular = kfilter.nobs_kendog_diffuse_nonsingular + 1
 *             forecast_error_cov_inv = 1.0 / forecast_error_cov
*/
    __pyx_t_5 = (__Pyx_CREAL(__pyx_v_forecast_error_cov) > __pyx_v_kfilter->tolerance_diffuse);
    if (__pyx_t_5) {

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":606
 *                     zlog(2 * M_PI * forecast_error_diffuse_cov)))
 *         elif forecast_error_cov.real > kfilter.tolerance_diffuse:
 *             kfilter.nobs_kendog_diffuse_nonsingular = kfilter.nobs_kendog_diffuse_nonsingular + 1             # <<<<<<<<<<<<<<
 *             forecast_error_cov_inv = 1.0 / forecast_error_cov
 * 
*/
      __pyx_v_kfilter->nobs_kendog_diffuse_nonsingular = (__pyx_v_kfilter->nobs_kendog_diffuse_nonsingular + 1);

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":607
 *         elif forecast_error_cov.real > kfilter.tolerance_diffuse:
 *             kfilter.nobs_kendog_diffuse_nonsingular = kfilter.nobs_kendog_diffuse_nonsingular + 1
 *             forecast_error_cov_inv = 1.0 / forecast_error_cov             # <<<<<<<<<<<<<<
 * 
 *             # Standardized forecasts error
*/
      __pyx_t_6 = __pyx_t_double_complex_from_parts(1.0, 0);
      __pyx_t_7 = __pyx_t_double_complex_from_parts(__Pyx_CREAL(__pyx_v_forecast_error_cov), __Pyx_CIMAG(__pyx_v_forecast_error_cov));
      if (unlikely(__Pyx_c_is_zero_double(__pyx_t_7))) {
        PyErr_SetString(PyExc_ZeroDivisionError, "float division");
        __PYX_ERR(0, 607, __pyx_L1_error)
      }
      __pyx_t_8 = __Pyx_c_quot_double(__pyx_t_6, __pyx_t_7);
      __pyx_v_forecast_error_cov_inv = __pyx_t_float_complex_from_parts(__Pyx_CREAL(__pyx_t_8), __Pyx_CIMAG(__pyx_t_8));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":610
 * 
 *             # Standardized forecasts error
 *             if not (kfilter.conserve_memory & MEMORY_NO_STD_FORECAST > 0):             # <<<<<<<<<<<<<<
 *                 kfilter._standardized_forecast_error[i] = (
 *                     kfilter._forecast_error[i] * forecast_error_cov_inv**0.5)
*/
      __pyx_t_5 = (!((__pyx_v_kfilter->conserve_memory & __pyx_v_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_NO_STD_FORECAST) > 0));
      if (__pyx_t_5) {

        /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":612
 *             if not (kfilter.conserve_memory & MEMORY_NO_STD_FORECAST > 0):
 *                 kfilter._standardized_forecast_error[i] = (
 *                     kfilter._forecast_error[i] * forecast_error_cov_inv**0.5)             # <<<<<<<<<<<<<<
 * 
 *             # K0 = M[:, i:i+1] / F[i, i]
*/
        __pyx_t_8 = __Pyx_c_prod_double(__pyx_t_double_complex_from_parts(__Pyx_CREAL((__pyx_v_kfilter->_forecast_error[__pyx_v_i])), __Pyx_CIMAG((__pyx_v_kfilter->_forecast_error[__pyx_v_i]))), __Pyx_c_pow_double(__pyx_t_double_complex_from_parts(__Pyx_CREAL(__pyx_v_forecast_error_cov_inv), __Pyx_CIMAG(__pyx_v_forecast_error_cov_inv)), __pyx_t_double_complex_from_parts(0.5, 0)));

        /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":611
 *             # Standardized forecasts error
 *             if not (kfilter.conserve_memory & MEMORY_NO_STD_FORECAST > 0):
 *                 kfilter._standardized_forecast_error[i] = (             # <<<<<<<<<<<<<<
 *                     kfilter._forecast_error[i] * forecast_error_cov_inv**0.5)
 * 
*/
        (__pyx_v_kfilter->_standardized_forecast_error[__pyx_v_i]) = __pyx_t_float_complex_from_parts(__Pyx_CREAL(__pyx_t_8), __Pyx_CIMAG(__pyx_t_8));

        /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":610
 * 
 *             # Standardized forecasts error
 *             if not (kfilter.conserve_memory & MEMORY_NO_STD_FORECAST > 0):             # <<<<<<<<<<<<<<
 *                 kfilter._standardized_forecast_error[i] = (
 *                     kfilter._forecast_error[i] * forecast_error_cov_inv**0.5)
*/
      }

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":615
 * 
 *             # K0 = M[:, i:i+1] / F[i, i]
 *             blas.ccopy(&kfilter.k_states, &kfilter._M[i*kfilter.k_states], &inc, kfilter._tmpK0, &inc)             # <<<<<<<<<<<<<<
 *             blas.cscal(&kfilter.k_states, &forecast_error_cov_inv, kfilter._tmpK0, &inc)
 * 
*/
      __pyx_f_5scipy_6linalg_11cython_blas_ccopy((&__pyx_v_kfilter->k_states), (&(__pyx_v_kfilter->_M[(__pyx_v_i * __pyx_v_kfilter->k_states)])), (&__pyx_v_inc), __pyx_v_kfilter->_tmpK0, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":616
 *             # K0 = M[:, i:i+1] / F[i, i]
 *             blas.ccopy(&kfilter.k_states, &kfilter._M[i*kfilter.k_states], &inc, kfilter._tmpK0, &inc)
 *             blas.cscal(&kfilter.k_states, &forecast_error_cov_inv, kfilter._tmpK0, &inc)             # <<<<<<<<<<<<<<
 * 
 *             # L0 = np.eye(m) - np.dot(K0, Zi)
*/
      __pyx_f_5scipy_6linalg_11cython_blas_cscal((&__pyx_v_kfilter->k_states), (&__pyx_v_forecast_error_cov_inv), __pyx_v_kfilter->_tmpK0, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":619
 * 
 *             # L0 = np.eye(m) - np.dot(K0, Zi)
 *             kfilter.tmpL0[:] = 0             # <<<<<<<<<<<<<<
 *             blas.cgeru(&model._k_states, &model._k_states, &gamma, kfilter._tmpK0, &inc, &model._design[i], &model._k_endog, kfilter._tmpL0, &kfilter.k_states)
 *             for j in range(kfilter.k_states):
*/
      if (unlikely(!__pyx_v_kfilter->tmpL0.memview)) {PyErr_SetString(PyExc_AttributeError,"Memoryview is not initialized");__PYX_ERR(0, 619, __pyx_L1_error)}
      {
          __pyx_t_float_complex __pyx_temp_scalar = __pyx_t_float_complex_from_parts(0, 0);
          {
              Py_ssize_t __pyx_temp_extent = __pyx_v_kfilter->tmpL0.shape[0] * __pyx_v_kfilter->tmpL0.shape[1];
              Py_ssize_t __pyx_temp_idx;
              __pyx_t_float_complex *__pyx_temp_pointer = (__pyx_t_float_complex *) __pyx_v_kfilter->tmpL0.data;
              for (__pyx_temp_idx = 0; __pyx_temp_idx < __pyx_temp_extent; __pyx_temp_idx++) {
                *((__pyx_t_float_complex *) __pyx_temp_pointer) = __pyx_temp_scalar;
                __pyx_temp_pointer += 1;
              }
          }
      }

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":620
 *             # L0 = np.eye(m) - np.dot(K0, Zi)
 *             kfilter.tmpL0[:] = 0
 *             blas.cgeru(&model._k_states, &model._k_states, &gamma, kfilter._tmpK0, &inc, &model._design[i], &model._k_endog, kfilter._tmpL0, &kfilter.k_states)             # <<<<<<<<<<<<<<
 *             for j in range(kfilter.k_states):
 *                 kfilter._tmpL0[j + j*kfilter.k_states] = kfilter._tmpL0[j + j*kfilter.k_states] + 1
*/
      __pyx_f_5scipy_6linalg_11cython_blas_cgeru((&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_gamma), __pyx_v_kfilter->_tmpK0, (&__pyx_v_inc), (&(__pyx_v_model->_design[__pyx_v_i])), (&__pyx_v_model->_k_endog), __pyx_v_kfilter->_tmpL0, (&__pyx_v_kfilter->k_states));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":621
 *             kfilter.tmpL0[:] = 0
 *             blas.cgeru(&model._k_states, &model._k_states, &gamma, kfilter._tmpK0, &inc, &model._design[i], &model._k_endog, kfilter._tmpL0, &kfilter.k_states)
 *             for j in range(kfilter.k_states):             # <<<<<<<<<<<<<<
 *                 kfilter._tmpL0[j + j*kfilter.k_states] = kfilter._tmpL0[j + j*kfilter.k_states] + 1
 * 
*/
      __pyx_t_9 = __pyx_v_kfilter->k_states;
      __pyx_t_10 = __pyx_t_9;
      for (__pyx_t_11 = 0; __pyx_t_11 < __pyx_t_10; __pyx_t_11+=1) {
        __pyx_v_j = __pyx_t_11;

        /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":622
 *             blas.cgeru(&model._k_states, &model._k_states, &gamma, kfilter._tmpK0, &inc, &model._design[i], &model._k_endog, kfilter._tmpL0, &kfilter.k_states)
 *             for j in range(kfilter.k_states):
 *                 kfilter._tmpL0[j + j*kfilter.k_states] = kfilter._tmpL0[j + j*kfilter.k_states] + 1             # <<<<<<<<<<<<<<
 * 
 *             # a_t = a_t + K0[:, 0] * v[i]
*/
        (__pyx_v_kfilter->_tmpL0[(__pyx_v_j + (__pyx_v_j * __pyx_v_kfilter->k_states))]) = __Pyx_c_sum_float((__pyx_v_kfilter->_tmpL0[(__pyx_v_j + (__pyx_v_j * __pyx_v_kfilter->k_states))]), __pyx_t_float_complex_from_parts(1, 0));
      }

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":625
 * 
 *             # a_t = a_t + K0[:, 0] * v[i]
 *             blas.caxpy(&kfilter.k_states, &kfilter._forecast_error[i], kfilter._tmpK0, &inc, kfilter._filtered_state, &inc)             # <<<<<<<<<<<<<<
 *             # P_t = np.dot(P_t, L0)
 *             blas.ccopy(&kfilter.k_states2, kfilter._filtered_state_cov, &inc, kfilter._tmp0, &inc)
*/
      __pyx_f_5scipy_6linalg_11cython_blas_caxpy((&__pyx_v_kfilter->k_states), (&(__pyx_v_kfilter->_forecast_error[__pyx_v_i])), __pyx_v_kfilter->_tmpK0, (&__pyx_v_inc), __pyx_v_kfilter->_filtered_state, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":627
 *             blas.caxpy(&kfilter.k_states, &kfilter._forecast_error[i], kfilter._tmpK0, &inc, kfilter._filtered_state, &inc)
 *             # P_t = np.dot(P_t, L0)
 *             blas.ccopy(&kfilter.k_states2, kfilter._filtered_state_cov, &inc, kfilter._tmp0, &inc)             # <<<<<<<<<<<<<<
 *             blas.cgemm("N", "T", &model._k_states, &model._k_states, &model._k_states,
 *               &alpha, kfilter._tmp0, &kfilter.k_states,
*/
      __pyx_f_5scipy_6linalg_11cython_blas_ccopy((&__pyx_v_kfilter->k_states2), __pyx_v_kfilter->_filtered_state_cov, (&__pyx_v_inc), __pyx_v_kfilter->_tmp0, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":628
 *             # P_t = np.dot(P_t, L0)
 *             blas.ccopy(&kfilter.k_states2, kfilter._filtered_state_cov, &inc, kfilter._tmp0, &inc)
 *             blas.cgemm("N", "T", &model._k_states, &model._k_states, &model._k_states,             # <<<<<<<<<<<<<<
 *               &alpha, kfilter._tmp0, &kfilter.k_states,
 *                       kfilter._tmpL0, &kfilter.k_states,
*/
      __pyx_f_5scipy_6linalg_11cython_blas_cgemm(((char *)"N"), ((char *)"T"), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_alpha), __pyx_v_kfilter->_tmp0, (&__pyx_v_kfilter->k_states), __pyx_v_kfilter->_tmpL0, (&__pyx_v_kfilter->k_states), (&__pyx_v_beta), __pyx_v_kfilter->_filtered_state_cov, (&__pyx_v_kfilter->k_states));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":636
 * 
 *             # Loglikelihood
 *             if not forecast_error_cov == 0:             # <<<<<<<<<<<<<<
 *                 kfilter._loglikelihood[0] = (
 *                     kfilter._loglikelihood[0] - 0.5*(
*/
      __pyx_t_5 = (!(__Pyx_c_eq_float(__pyx_v_forecast_error_cov, __pyx_t_float_complex_from_parts(0, 0))));
      if (__pyx_t_5) {

        /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":638
 *             if not forecast_error_cov == 0:
 *                 kfilter._loglikelihood[0] = (
 *                     kfilter._loglikelihood[0] - 0.5*(             # <<<<<<<<<<<<<<
 *                         zlog(2 * M_PI * forecast_error_cov)))
 * 
*/
        __pyx_t_8 = __Pyx_c_diff_double(__pyx_t_double_complex_from_parts(__Pyx_CREAL((__pyx_v_kfilter->_loglikelihood[0])), __Pyx_CIMAG((__pyx_v_kfilter->_loglikelihood[0]))), __Pyx_c_prod_double(__pyx_t_double_complex_from_parts(0.5, 0), __pyx_f_11statsmodels_3src_4math_zlog(__Pyx_c_prod_double(__pyx_t_double_complex_from_parts((2.0 * M_PI), 0), __pyx_t_double_complex_from_parts(__Pyx_CREAL(__pyx_v_forecast_error_cov), __Pyx_CIMAG(__pyx_v_forecast_error_cov))))));

        /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":637
 *             # Loglikelihood
 *             if not forecast_error_cov == 0:
 *                 kfilter._loglikelihood[0] = (             # <<<<<<<<<<<<<<
 *                     kfilter._loglikelihood[0] - 0.5*(
 *                         zlog(2 * M_PI * forecast_error_cov)))
*/
        (__pyx_v_kfilter->_loglikelihood[0]) = __pyx_t_float_complex_from_parts(__Pyx_CREAL(__pyx_t_8), __Pyx_CIMAG(__pyx_t_8));

        /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":641
 *                         zlog(2 * M_PI * forecast_error_cov)))
 * 
 *                 if kfilter.filter_method & FILTER_CONCENTRATED:             # <<<<<<<<<<<<<<
 *                     kfilter._scale[0] = kfilter._scale[0] + kfilter._forecast_error[i]**2 * forecast_error_cov_inv
 *                 else:
*/
        __pyx_t_5 = ((__pyx_v_kfilter->filter_method & __pyx_v_11statsmodels_3tsa_10statespace_14_kalman_filter_FILTER_CONCENTRATED) != 0);
        if (__pyx_t_5) {

          /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":642
 * 
 *                 if kfilter.filter_method & FILTER_CONCENTRATED:
 *                     kfilter._scale[0] = kfilter._scale[0] + kfilter._forecast_error[i]**2 * forecast_error_cov_inv             # <<<<<<<<<<<<<<
 *                 else:
 *                     kfilter._loglikelihood[0] = kfilter._loglikelihood[0] - 0.5 * (kfilter._forecast_error[i]**2 * forecast_error_cov_inv)
*/
          (__pyx_v_kfilter->_scale[0]) = __Pyx_c_sum_float((__pyx_v_kfilter->_scale[0]), __Pyx_c_prod_float(__Pyx_c_pow_float((__pyx_v_kfilter->_forecast_error[__pyx_v_i]), __pyx_t_float_complex_from_parts(2, 0)), __pyx_v_forecast_error_cov_inv));

          /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":641
 *                         zlog(2 * M_PI * forecast_error_cov)))
 * 
 *                 if kfilter.filter_method & FILTER_CONCENTRATED:             # <<<<<<<<<<<<<<
 *                     kfilter._scale[0] = kfilter._scale[0] + kfilter._forecast_error[i]**2 * forecast_error_cov_inv
 *                 else:
*/
          goto __pyx_L15;
        }

        /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":644
 *                     kfilter._scale[0] = kfilter._scale[0] + kfilter._forecast_error[i]**2 * forecast_error_cov_inv
 *                 else:
 *                     kfilter._loglikelihood[0] = kfilter._loglikelihood[0] - 0.5 * (kfilter._forecast_error[i]**2 * forecast_error_cov_inv)             # <<<<<<<<<<<<<<
 * 
 *         # Kalman gain
*/
        /*else*/ {
          __pyx_t_4 = __Pyx_c_prod_float(__Pyx_c_pow_float((__pyx_v_kfilter->_forecast_error[__pyx_v_i]), __pyx_t_float_complex_from_parts(2, 0)), __pyx_v_forecast_error_cov_inv);
          __pyx_t_8 = __Pyx_c_diff_double(__pyx_t_double_complex_from_parts(__Pyx_CREAL((__pyx_v_kfilter->_loglikelihood[0])), __Pyx_CIMAG((__pyx_v_kfilter->_loglikelihood[0]))), __Pyx_c_prod_double(__pyx_t_double_complex_from_parts(0.5, 0), __pyx_t_double_complex_from_parts(__Pyx_CREAL(__pyx_t_4), __Pyx_CIMAG(__pyx_t_4))));
          (__pyx_v_kfilter->_loglikelihood[0]) = __pyx_t_float_complex_from_parts(__Pyx_CREAL(__pyx_t_8), __Pyx_CIMAG(__pyx_t_8));
        }
        __pyx_L15:;

        /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":636
 * 
 *             # Loglikelihood
 *             if not forecast_error_cov == 0:             # <<<<<<<<<<<<<<
 *                 kfilter._loglikelihood[0] = (
 *                     kfilter._loglikelihood[0] - 0.5*(
*/
      }

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":605
 *                 kfilter._loglikelihood[0] - 0.5*(
 *                     zlog(2 * M_PI * forecast_error_diffuse_cov)))
 *         elif forecast_error_cov.real > kfilter.tolerance_diffuse:             # <<<<<<<<<<<<<<
 *             kfilter.nobs_kendog_diffuse_nonsingular = kfilter.nobs_kendog_diffuse_nonsingular + 1
 *             forecast_error_cov_inv = 1.0 / forecast_error_cov
*/
    }
    __pyx_L8:;

    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":647
 * 
 *         # Kalman gain
 *         blas.ccopy(&kfilter.k_states, kfilter._tmpK0, &inc, &kfilter._kalman_gain[i * kfilter.k_states], &inc)             # <<<<<<<<<<<<<<
 * 
 *         # Prediction (done below)
*/
    __pyx_f_5scipy_6linalg_11cython_blas_ccopy((&__pyx_v_kfilter->k_states), __pyx_v_kfilter->_tmpK0, (&__pyx_v_inc), (&(__pyx_v_kfilter->_kalman_gain[(__pyx_v_i * __pyx_v_kfilter->k_states)])), (&__pyx_v_inc));
  }

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":654
 *         # P_t1_inf[:] = np.dot(np.dot(T, P_t_inf), T.T)
 * 
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __pyx_r = 0;
  goto __pyx_L0;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":514
 * # See Durbin and Koopman (2012) Chapter 6.4
 * 
 * cdef int cforecast_univariate_diffuse(cKalmanFilter kfilter, cStatespace model):             # <<<<<<<<<<<<<<
 *     # Constants
 *     cdef:
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_AddTraceback("statsmodels.tsa.statespace._filters._univariate_diffuse.cforecast_univariate_diffuse", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = -1;
  __pyx_L0:;
  return __pyx_r;
}

/* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":657
 * 
 * 
 * cdef np.complex64_t cforecast_error_diffuse_cov(cKalmanFilter kfilter, cStatespace model, int i):             # <<<<<<<<<<<<<<
 *     cdef:
 *         int inc = 1
*/

static __pyx_t_float_complex __pyx_f_11statsmodels_3tsa_10statespace_8_filters_19_univariate_diffuse_cforecast_error_diffuse_cov(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_cKalmanFilter *__pyx_v_kfilter, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_cStatespace *__pyx_v_model, int __pyx_v_i) {
  int __pyx_v_inc;
  __pyx_t_float_complex __pyx_v_alpha;
  __pyx_t_float_complex __pyx_v_beta;
  __pyx_t_float_complex __pyx_v_forecast_error_diffuse_cov;
  int __pyx_v_k_states;
  __pyx_t_float_complex __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":659
 * cdef np.complex64_t cforecast_error_diffuse_cov(cKalmanFilter kfilter, cStatespace model, int i):
 *     cdef:
 *         int inc = 1             # <<<<<<<<<<<<<<
 *         np.complex64_t alpha = 1
 *         np.complex64_t beta = 0
*/
  __pyx_v_inc = 1;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":660
 *     cdef:
 *         int inc = 1
 *         np.complex64_t alpha = 1             # <<<<<<<<<<<<<<
 *         np.complex64_t beta = 0
 *         np.complex64_t forecast_error_diffuse_cov
*/
  __pyx_v_alpha = __pyx_t_float_complex_from_parts(1, 0);

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":661
 *         int inc = 1
 *         np.complex64_t alpha = 1
 *         np.complex64_t beta = 0             # <<<<<<<<<<<<<<
 *         np.complex64_t forecast_error_diffuse_cov
 *         int k_states = model._k_states
*/
  __pyx_v_beta = __pyx_t_float_complex_from_parts(0, 0);

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":663
 *         np.complex64_t beta = 0
 *         np.complex64_t forecast_error_diffuse_cov
 *         int k_states = model._k_states             # <<<<<<<<<<<<<<
 * 
 *     # Adjust for a VAR transition (i.e. design = [#, 0], where the zeros
*/
  __pyx_t_1 = __pyx_v_model->_k_states;
  __pyx_v_k_states = __pyx_t_1;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":667
 *     # Adjust for a VAR transition (i.e. design = [#, 0], where the zeros
 *     # correspond to all states except the first k_posdef states)
 *     if model.subset_design:             # <<<<<<<<<<<<<<
 *         k_states = model._k_posdef
 * 
*/
  __pyx_t_2 = (__pyx_v_model->subset_design != 0);
  if (__pyx_t_2) {

    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":668
 *     # correspond to all states except the first k_posdef states)
 *     if model.subset_design:
 *         k_states = model._k_posdef             # <<<<<<<<<<<<<<
 * 
 *     # *Intermediate calculation*
*/
    __pyx_t_1 = __pyx_v_model->_k_posdef;
    __pyx_v_k_states = __pyx_t_1;

    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":667
 *     # Adjust for a VAR transition (i.e. design = [#, 0], where the zeros
 *     # correspond to all states except the first k_posdef states)
 *     if model.subset_design:             # <<<<<<<<<<<<<<
 *         k_states = model._k_posdef
 * 
*/
  }

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":674
 *     # $M_{i, \infty} = P_{t,i,\infty} Z_{t,i}'$
 *     # $(m \times 1) = (m \times m) (1 \times m)'$
 *     blas.cgemv("N", &model._k_states, &model._k_states,             # <<<<<<<<<<<<<<
 *           &alpha, kfilter._predicted_diffuse_state_cov, &kfilter.k_states,
 *                   &model._design[i], &model._k_endog,
*/
  __pyx_f_5scipy_6linalg_11cython_blas_cgemv(((char *)"N"), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_alpha), __pyx_v_kfilter->_predicted_diffuse_state_cov, (&__pyx_v_kfilter->k_states), (&(__pyx_v_model->_design[__pyx_v_i])), (&__pyx_v_model->_k_endog), (&__pyx_v_beta), (&(__pyx_v_kfilter->_M_inf[(__pyx_v_i * __pyx_v_kfilter->k_states)])), (&__pyx_v_inc));

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":685
 *     #       &beta, &kfilter._M_inf[i * kfilter.k_states], &inc)
 * 
 *     blas.cgemv("N", &inc, &k_states,             # <<<<<<<<<<<<<<
 *                    &alpha, &kfilter._M_inf[i * kfilter.k_states], &inc,
 *                            &model._design[i], &model._k_endog,
*/
  __pyx_f_5scipy_6linalg_11cython_blas_cgemv(((char *)"N"), (&__pyx_v_inc), (&__pyx_v_k_states), (&__pyx_v_alpha), (&(__pyx_v_kfilter->_M_inf[(__pyx_v_i * __pyx_v_kfilter->k_states)])), (&__pyx_v_inc), (&(__pyx_v_model->_design[__pyx_v_i])), (&__pyx_v_model->_k_endog), (&__pyx_v_beta), __pyx_v_kfilter->_tmp0, (&__pyx_v_inc));

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":689
 *                            &model._design[i], &model._k_endog,
 *                    &beta, kfilter._tmp0, &inc)
 *     forecast_error_diffuse_cov = kfilter._tmp0[0]             # <<<<<<<<<<<<<<
 *     kfilter._forecast_error_diffuse_cov[i + i*kfilter.k_endog] = forecast_error_diffuse_cov
 *     return forecast_error_diffuse_cov
*/
  __pyx_v_forecast_error_diffuse_cov = (__pyx_v_kfilter->_tmp0[0]);

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":690
 *                    &beta, kfilter._tmp0, &inc)
 *     forecast_error_diffuse_cov = kfilter._tmp0[0]
 *     kfilter._forecast_error_diffuse_cov[i + i*kfilter.k_endog] = forecast_error_diffuse_cov             # <<<<<<<<<<<<<<
 *     return forecast_error_diffuse_cov
 * 
*/
  (__pyx_v_kfilter->_forecast_error_diffuse_cov[(__pyx_v_i + (__pyx_v_i * __pyx_v_kfilter->k_endog))]) = __pyx_v_forecast_error_diffuse_cov;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":691
 *     forecast_error_diffuse_cov = kfilter._tmp0[0]
 *     kfilter._forecast_error_diffuse_cov[i + i*kfilter.k_endog] = forecast_error_diffuse_cov
 *     return forecast_error_diffuse_cov             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __pyx_r = __pyx_v_forecast_error_diffuse_cov;
  goto __pyx_L0;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":657
 * 
 * 
 * cdef np.complex64_t cforecast_error_diffuse_cov(cKalmanFilter kfilter, cStatespace model, int i):             # <<<<<<<<<<<<<<
 *     cdef:
 *         int inc = 1
*/

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":694
 * 
 * 
 * cdef int cprediction_univariate_diffuse(cKalmanFilter kfilter, cStatespace model):             # <<<<<<<<<<<<<<
 *     # Constants
 *     cdef:
*/

static int __pyx_f_11statsmodels_3tsa_10statespace_8_filters_19_univariate_diffuse_cprediction_univariate_diffuse(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_cKalmanFilter *__pyx_v_kfilter, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_cStatespace *__pyx_v_model) {
  CYTHON_UNUSED int __pyx_v_inc;
  CYTHON_UNUSED __pyx_t_float_complex __pyx_v_alpha;
  CYTHON_UNUSED __pyx_t_float_complex __pyx_v_beta;
  CYTHON_UNUSED __pyx_t_float_complex __pyx_v_gamma;
  int __pyx_r;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":697
 *     # Constants
 *     cdef:
 *         int inc = 1             # <<<<<<<<<<<<<<
 *         int i, j
 *         np.complex64_t alpha = 1.0
*/
  __pyx_v_inc = 1;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":699
 *         int inc = 1
 *         int i, j
 *         np.complex64_t alpha = 1.0             # <<<<<<<<<<<<<<
 *         np.complex64_t beta = 0.0
 *         np.complex64_t gamma = -1.0
*/
  __pyx_v_alpha = __pyx_t_float_complex_from_parts(1.0, 0);

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":700
 *         int i, j
 *         np.complex64_t alpha = 1.0
 *         np.complex64_t beta = 0.0             # <<<<<<<<<<<<<<
 *         np.complex64_t gamma = -1.0
 * 
*/
  __pyx_v_beta = __pyx_t_float_complex_from_parts(0.0, 0);

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":701
 *         np.complex64_t alpha = 1.0
 *         np.complex64_t beta = 0.0
 *         np.complex64_t gamma = -1.0             # <<<<<<<<<<<<<<
 * 
 *     cpredicted_state(kfilter, model)
*/
  __pyx_v_gamma = __pyx_t_float_complex_from_parts(-1.0, 0);

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":703
 *         np.complex64_t gamma = -1.0
 * 
 *     cpredicted_state(kfilter, model)             # <<<<<<<<<<<<<<
 *     cpredicted_state_cov(kfilter, model)
 *     cpredicted_diffuse_state_cov(kfilter, model)
*/
  __pyx_f_11statsmodels_3tsa_10statespace_8_filters_11_univariate_cpredicted_state(__pyx_v_kfilter, __pyx_v_model); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 703, __pyx_L1_error)

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":704
 * 
 *     cpredicted_state(kfilter, model)
 *     cpredicted_state_cov(kfilter, model)             # <<<<<<<<<<<<<<
 *     cpredicted_diffuse_state_cov(kfilter, model)
 * 
*/
  __pyx_f_11statsmodels_3tsa_10statespace_8_filters_11_univariate_cpredicted_state_cov(__pyx_v_kfilter, __pyx_v_model); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 704, __pyx_L1_error)

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":705
 *     cpredicted_state(kfilter, model)
 *     cpredicted_state_cov(kfilter, model)
 *     cpredicted_diffuse_state_cov(kfilter, model)             # <<<<<<<<<<<<<<
 * 
 *     return 0
*/
  __pyx_f_11statsmodels_3tsa_10statespace_8_filters_19_univariate_diffuse_cpredicted_diffuse_state_cov(__pyx_v_kfilter, __pyx_v_model); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 705, __pyx_L1_error)

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":707
 *     cpredicted_diffuse_state_cov(kfilter, model)
 * 
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __pyx_r = 0;
  goto __pyx_L0;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":694
 * 
 * 
 * cdef int cprediction_univariate_diffuse(cKalmanFilter kfilter, cStatespace model):             # <<<<<<<<<<<<<<
 *     # Constants
 *     cdef:
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_AddTraceback("statsmodels.tsa.statespace._filters._univariate_diffuse.cprediction_univariate_diffuse", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = -1;
  __pyx_L0:;
  return __pyx_r;
}

/* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":710
 * 
 * 
 * cdef void cpredicted_diffuse_state_cov(cKalmanFilter kfilter, cStatespace model):             # <<<<<<<<<<<<<<
 *     cdef:
 *         int inc = 1
*/

static void __pyx_f_11statsmodels_3tsa_10statespace_8_filters_19_univariate_diffuse_cpredicted_diffuse_state_cov(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_cKalmanFilter *__pyx_v_kfilter, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_cStatespace *__pyx_v_model) {
  int __pyx_v_inc;
  __pyx_t_float_complex __pyx_v_alpha;
  __pyx_t_float_complex __pyx_v_beta;
  int __pyx_t_1;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":712
 * cdef void cpredicted_diffuse_state_cov(cKalmanFilter kfilter, cStatespace model):
 *     cdef:
 *         int inc = 1             # <<<<<<<<<<<<<<
 *         np.complex64_t alpha = 1.0
 *         np.complex64_t beta = 0.0
*/
  __pyx_v_inc = 1;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":713
 *     cdef:
 *         int inc = 1
 *         np.complex64_t alpha = 1.0             # <<<<<<<<<<<<<<
 *         np.complex64_t beta = 0.0
 * 
*/
  __pyx_v_alpha = __pyx_t_float_complex_from_parts(1.0, 0);

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":714
 *         int inc = 1
 *         np.complex64_t alpha = 1.0
 *         np.complex64_t beta = 0.0             # <<<<<<<<<<<<<<
 * 
 *     # Need special handling for the completely missing case, since the
*/
  __pyx_v_beta = __pyx_t_float_complex_from_parts(0.0, 0);

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":719
 *     # conventional Kalman filter routines are used in this case and they do not
 *     # copy over the predicted diffuse state cov
 *     if model._nmissing == model.k_endog:             # <<<<<<<<<<<<<<
 *         blas.ccopy(&kfilter.k_states2, kfilter._input_diffuse_state_cov, &inc,
 *                                                 kfilter._predicted_diffuse_state_cov, &inc)
*/
  __pyx_t_1 = (__pyx_v_model->_nmissing == __pyx_v_model->k_endog);
  if (__pyx_t_1) {

    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":720
 *     # copy over the predicted diffuse state cov
 *     if model._nmissing == model.k_endog:
 *         blas.ccopy(&kfilter.k_states2, kfilter._input_diffuse_state_cov, &inc,             # <<<<<<<<<<<<<<
 *                                                 kfilter._predicted_diffuse_state_cov, &inc)
 * 
*/
    __pyx_f_5scipy_6linalg_11cython_blas_ccopy((&__pyx_v_kfilter->k_states2), __pyx_v_kfilter->_input_diffuse_state_cov, (&__pyx_v_inc), __pyx_v_kfilter->_predicted_diffuse_state_cov, (&__pyx_v_inc));

    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":719
 *     # conventional Kalman filter routines are used in this case and they do not
 *     # copy over the predicted diffuse state cov
 *     if model._nmissing == model.k_endog:             # <<<<<<<<<<<<<<
 *         blas.ccopy(&kfilter.k_states2, kfilter._input_diffuse_state_cov, &inc,
 *                                                 kfilter._predicted_diffuse_state_cov, &inc)
*/
  }

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":724
 * 
 *     # P_t1_inf[:] = np.dot(np.dot(T, P_t_inf), T.T)
 *     blas.cgemm("N", "N", &model._k_states, &model._k_states, &model._k_states,             # <<<<<<<<<<<<<<
 *           &alpha, model._transition, &model._k_states,
 *                   kfilter._predicted_diffuse_state_cov, &kfilter.k_states,
*/
  __pyx_f_5scipy_6linalg_11cython_blas_cgemm(((char *)"N"), ((char *)"N"), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_alpha), __pyx_v_model->_transition, (&__pyx_v_model->_k_states), __pyx_v_kfilter->_predicted_diffuse_state_cov, (&__pyx_v_kfilter->k_states), (&__pyx_v_beta), __pyx_v_kfilter->_tmp0, (&__pyx_v_kfilter->k_states));

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":730
 *     # $P_{t+1} = 1.0 \\#_0 T_t' + 1.0 \\#$
 *     # $(m \times m) = (m \times m) (m \times m) + (m \times m)$
 *     blas.cgemm("N", "T", &model._k_states, &model._k_states, &model._k_states,             # <<<<<<<<<<<<<<
 *           &alpha, kfilter._tmp0, &kfilter.k_states,
 *                   model._transition, &model._k_states,
*/
  __pyx_f_5scipy_6linalg_11cython_blas_cgemm(((char *)"N"), ((char *)"T"), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_alpha), __pyx_v_kfilter->_tmp0, (&__pyx_v_kfilter->k_states), __pyx_v_model->_transition, (&__pyx_v_model->_k_states), (&__pyx_v_beta), __pyx_v_kfilter->_predicted_diffuse_state_cov, (&__pyx_v_kfilter->k_states));

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":710
 * 
 * 
 * cdef void cpredicted_diffuse_state_cov(cKalmanFilter kfilter, cStatespace model):             # <<<<<<<<<<<<<<
 *     cdef:
 *         int inc = 1
*/

  /* function exit code */
}

/* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":737
 * 
 * # Note: updating, inverse, loglikelihood are all performed in prior steps
 * cdef int cupdating_univariate_diffuse(cKalmanFilter kfilter, cStatespace model):             # <<<<<<<<<<<<<<
 *     return 0
 * 
*/

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  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":738
 * # Note: updating, inverse, loglikelihood are all performed in prior steps
 * cdef int cupdating_univariate_diffuse(cKalmanFilter kfilter, cStatespace model):
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * cdef np.complex64_t cinverse_noop_univariate_diffuse(cKalmanFilter kfilter, cStatespace model, np.complex64_t determinant) except *:
*/
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  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":737
 * 
 * # Note: updating, inverse, loglikelihood are all performed in prior steps
 * cdef int cupdating_univariate_diffuse(cKalmanFilter kfilter, cStatespace model):             # <<<<<<<<<<<<<<
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 * 
*/

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/* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":740
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 * cdef np.complex64_t cinverse_noop_univariate_diffuse(cKalmanFilter kfilter, cStatespace model, np.complex64_t determinant) except *:             # <<<<<<<<<<<<<<
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 * 
*/

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 * cdef np.complex64_t cinverse_noop_univariate_diffuse(cKalmanFilter kfilter, cStatespace model, np.complex64_t determinant) except *:
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 * 
 * cdef np.complex64_t cloglikelihood_univariate_diffuse(cKalmanFilter kfilter, cStatespace model, np.complex64_t determinant):
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  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":740
 *     return 0
 * 
 * cdef np.complex64_t cinverse_noop_univariate_diffuse(cKalmanFilter kfilter, cStatespace model, np.complex64_t determinant) except *:             # <<<<<<<<<<<<<<
 *     return -np.inf
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/* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":743
 *     return -np.inf
 * 
 * cdef np.complex64_t cloglikelihood_univariate_diffuse(cKalmanFilter kfilter, cStatespace model, np.complex64_t determinant):             # <<<<<<<<<<<<<<
 *     return 0
 * 
*/

static __pyx_t_float_complex __pyx_f_11statsmodels_3tsa_10statespace_8_filters_19_univariate_diffuse_cloglikelihood_univariate_diffuse(CYTHON_UNUSED struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_cKalmanFilter *__pyx_v_kfilter, CYTHON_UNUSED struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_cStatespace *__pyx_v_model, CYTHON_UNUSED __pyx_t_float_complex __pyx_v_determinant) {
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  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":744
 * 
 * cdef np.complex64_t cloglikelihood_univariate_diffuse(cKalmanFilter kfilter, cStatespace model, np.complex64_t determinant):
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 * 
 * from statsmodels.tsa.statespace._filters._univariate cimport (
*/
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  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":743
 *     return -np.inf
 * 
 * cdef np.complex64_t cloglikelihood_univariate_diffuse(cKalmanFilter kfilter, cStatespace model, np.complex64_t determinant):             # <<<<<<<<<<<<<<
 *     return 0
 * 
*/

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/* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":756
 * # See Durbin and Koopman (2012) Chapter 6.4
 * 
 * cdef int zforecast_univariate_diffuse(zKalmanFilter kfilter, zStatespace model):             # <<<<<<<<<<<<<<
 *     # Constants
 *     cdef:
*/

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  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":760
 *     cdef:
 *         int i, j, k
 *         int inc = 1             # <<<<<<<<<<<<<<
 *         np.complex128_t forecast_error_cov, forecast_error_cov_inv, forecast_error_diffuse_cov, forecast_error_diffuse_cov_inv, F1, F12
 *         np.complex128_t alpha = 1.0
*/
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  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":762
 *         int inc = 1
 *         np.complex128_t forecast_error_cov, forecast_error_cov_inv, forecast_error_diffuse_cov, forecast_error_diffuse_cov_inv, F1, F12
 *         np.complex128_t alpha = 1.0             # <<<<<<<<<<<<<<
 *         np.complex128_t beta = 0.0
 *         np.complex128_t gamma = -1.0
*/
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  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":763
 *         np.complex128_t forecast_error_cov, forecast_error_cov_inv, forecast_error_diffuse_cov, forecast_error_diffuse_cov_inv, F1, F12
 *         np.complex128_t alpha = 1.0
 *         np.complex128_t beta = 0.0             # <<<<<<<<<<<<<<
 *         np.complex128_t gamma = -1.0
 * 
*/
  __pyx_v_beta = __pyx_t_double_complex_from_parts(0.0, 0);

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":764
 *         np.complex128_t alpha = 1.0
 *         np.complex128_t beta = 0.0
 *         np.complex128_t gamma = -1.0             # <<<<<<<<<<<<<<
 * 
 *     # Initialize the filtered states
*/
  __pyx_v_gamma = __pyx_t_double_complex_from_parts(-1.0, 0);

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":767
 * 
 *     # Initialize the filtered states
 *     blas.zcopy(&kfilter.k_states, kfilter._input_state, &inc,             # <<<<<<<<<<<<<<
 *                                            kfilter._filtered_state, &inc)
 *     blas.zcopy(&kfilter.k_states2, kfilter._input_state_cov, &inc,
*/
  __pyx_f_5scipy_6linalg_11cython_blas_zcopy((&__pyx_v_kfilter->k_states), __pyx_v_kfilter->_input_state, (&__pyx_v_inc), __pyx_v_kfilter->_filtered_state, (&__pyx_v_inc));

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":769
 *     blas.zcopy(&kfilter.k_states, kfilter._input_state, &inc,
 *                                            kfilter._filtered_state, &inc)
 *     blas.zcopy(&kfilter.k_states2, kfilter._input_state_cov, &inc,             # <<<<<<<<<<<<<<
 *                                             kfilter._filtered_state_cov, &inc)
 *     blas.zcopy(&kfilter.k_states2, kfilter._input_diffuse_state_cov, &inc,
*/
  __pyx_f_5scipy_6linalg_11cython_blas_zcopy((&__pyx_v_kfilter->k_states2), __pyx_v_kfilter->_input_state_cov, (&__pyx_v_inc), __pyx_v_kfilter->_filtered_state_cov, (&__pyx_v_inc));

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":771
 *     blas.zcopy(&kfilter.k_states2, kfilter._input_state_cov, &inc,
 *                                             kfilter._filtered_state_cov, &inc)
 *     blas.zcopy(&kfilter.k_states2, kfilter._input_diffuse_state_cov, &inc,             # <<<<<<<<<<<<<<
 *                                             kfilter._predicted_diffuse_state_cov, &inc)
 * 
*/
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  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":775
 * 
 *     # Iterate over endogenous variables
 *     for i in range(model._k_endog):             # <<<<<<<<<<<<<<
 *         # forecast_t, v_t,
 *         zforecast_error(kfilter, model, i)
*/
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    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":777
 *     for i in range(model._k_endog):
 *         # forecast_t, v_t,
 *         zforecast_error(kfilter, model, i)             # <<<<<<<<<<<<<<
 * 
 *         # F_{*,t}
*/
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    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":780
 * 
 *         # F_{*,t}
 *         forecast_error_cov = zforecast_error_cov(kfilter, model, i)             # <<<<<<<<<<<<<<
 *         if forecast_error_cov.real < 0:
 *             kfilter._forecast_error_cov[i + i*kfilter.k_endog] = 0
*/
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    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":781
 *         # F_{*,t}
 *         forecast_error_cov = zforecast_error_cov(kfilter, model, i)
 *         if forecast_error_cov.real < 0:             # <<<<<<<<<<<<<<
 *             kfilter._forecast_error_cov[i + i*kfilter.k_endog] = 0
 *             forecast_error_cov = 0
*/
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 *         forecast_error_cov = zforecast_error_cov(kfilter, model, i)
 *         if forecast_error_cov.real < 0:
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 *             forecast_error_cov = 0
 * 
*/
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 *             forecast_error_cov = 0             # <<<<<<<<<<<<<<
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 *         forecast_error_cov = zforecast_error_cov(kfilter, model, i)
 *         if forecast_error_cov.real < 0:             # <<<<<<<<<<<<<<
 *             kfilter._forecast_error_cov[i + i*kfilter.k_endog] = 0
 *             forecast_error_cov = 0
*/
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 * 
 *         # Save temporary array data
 *         if not forecast_error_cov == 0:             # <<<<<<<<<<<<<<
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 *         # Save temporary array data
 *         if not forecast_error_cov == 0:
 *             forecast_error_cov_inv = 1.0 / forecast_error_cov             # <<<<<<<<<<<<<<
 *             ztemp_arrays(kfilter, model, i, forecast_error_cov_inv)
 * 
*/
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 *             ztemp_arrays(kfilter, model, i, forecast_error_cov_inv)             # <<<<<<<<<<<<<<
 * 
 *         # F_{\infty,t}
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 * 
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 *         if not forecast_error_cov == 0:             # <<<<<<<<<<<<<<
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 *             ztemp_arrays(kfilter, model, i, forecast_error_cov_inv)
*/
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    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":791
 * 
 *         # F_{\infty,t}
 *         forecast_error_diffuse_cov = zforecast_error_diffuse_cov(kfilter, model, i)             # <<<<<<<<<<<<<<
 *         if forecast_error_diffuse_cov.real < 0:
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*/
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 *         # F_{\infty,t}
 *         forecast_error_diffuse_cov = zforecast_error_diffuse_cov(kfilter, model, i)
 *         if forecast_error_diffuse_cov.real < 0:             # <<<<<<<<<<<<<<
 *             kfilter._forecast_error_diffuse_cov[i + i*kfilter.k_endog] = 0
 *             forecast_error_diffuse_cov = 0
*/
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 *         forecast_error_diffuse_cov = zforecast_error_diffuse_cov(kfilter, model, i)
 *         if forecast_error_diffuse_cov.real < 0:
 *             kfilter._forecast_error_diffuse_cov[i + i*kfilter.k_endog] = 0             # <<<<<<<<<<<<<<
 *             forecast_error_diffuse_cov = 0
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*/
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      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":794
 *         if forecast_error_diffuse_cov.real < 0:
 *             kfilter._forecast_error_diffuse_cov[i + i*kfilter.k_endog] = 0
 *             forecast_error_diffuse_cov = 0             # <<<<<<<<<<<<<<
 * 
 *         # F_{\infty, i, i, t} > 0
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 *         if forecast_error_diffuse_cov.real < 0:             # <<<<<<<<<<<<<<
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 *             forecast_error_diffuse_cov = 0
*/
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 * 
 *         # F_{\infty, i, i, t} > 0
 *         if forecast_error_diffuse_cov.real > kfilter.tolerance_diffuse:             # <<<<<<<<<<<<<<
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 * 
*/
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 *         # F_{\infty, i, i, t} > 0
 *         if forecast_error_diffuse_cov.real > kfilter.tolerance_diffuse:
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 * 
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 *             forecast_error_diffuse_cov_inv = 1.0 / forecast_error_diffuse_cov
 * 
 *             F1 = forecast_error_diffuse_cov_inv             # <<<<<<<<<<<<<<
 *             # Usually F2 = -forecast_error_cov * forecast_error_diffuse_cov_inv**2
 *             # but this version is more convenient for the *axpy call
*/
      __pyx_v_F1 = __pyx_v_forecast_error_diffuse_cov_inv;

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":803
 *             # Usually F2 = -forecast_error_cov * forecast_error_diffuse_cov_inv**2
 *             # but this version is more convenient for the *axpy call
 *             F12 = -forecast_error_cov * forecast_error_diffuse_cov_inv             # <<<<<<<<<<<<<<
 * 
 *             # K0 = M_inf[:, i:i+1] * F1
*/
      __pyx_v_F12 = __Pyx_c_prod_double(__Pyx_c_neg_double(__pyx_v_forecast_error_cov), __pyx_v_forecast_error_diffuse_cov_inv);

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":806
 * 
 *             # K0 = M_inf[:, i:i+1] * F1
 *             blas.zcopy(&kfilter.k_states, &kfilter._M_inf[i * kfilter.k_states], &inc, kfilter._tmpK0, &inc)             # <<<<<<<<<<<<<<
 *             blas.zscal(&kfilter.k_states, &F1, kfilter._tmpK0, &inc)
 *             # K1 = M[:, i:i+1] * F1 + M_inf[:, i:i+1] * F2
*/
      __pyx_f_5scipy_6linalg_11cython_blas_zcopy((&__pyx_v_kfilter->k_states), (&(__pyx_v_kfilter->_M_inf[(__pyx_v_i * __pyx_v_kfilter->k_states)])), (&__pyx_v_inc), __pyx_v_kfilter->_tmpK0, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":807
 *             # K0 = M_inf[:, i:i+1] * F1
 *             blas.zcopy(&kfilter.k_states, &kfilter._M_inf[i * kfilter.k_states], &inc, kfilter._tmpK0, &inc)
 *             blas.zscal(&kfilter.k_states, &F1, kfilter._tmpK0, &inc)             # <<<<<<<<<<<<<<
 *             # K1 = M[:, i:i+1] * F1 + M_inf[:, i:i+1] * F2
 *             # K1 = M[:, i:i+1] * F1 + K0 * F12
*/
      __pyx_f_5scipy_6linalg_11cython_blas_zscal((&__pyx_v_kfilter->k_states), (&__pyx_v_F1), __pyx_v_kfilter->_tmpK0, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":810
 *             # K1 = M[:, i:i+1] * F1 + M_inf[:, i:i+1] * F2
 *             # K1 = M[:, i:i+1] * F1 + K0 * F12
 *             blas.zcopy(&kfilter.k_states, &kfilter._M[i*kfilter.k_states], &inc, kfilter._tmpK1, &inc)             # <<<<<<<<<<<<<<
 *             blas.zscal(&kfilter.k_states, &F1, kfilter._tmpK1, &inc)
 *             blas.zaxpy(&kfilter.k_states, &F12, kfilter._tmpK0, &inc, kfilter._tmpK1, &inc)
*/
      __pyx_f_5scipy_6linalg_11cython_blas_zcopy((&__pyx_v_kfilter->k_states), (&(__pyx_v_kfilter->_M[(__pyx_v_i * __pyx_v_kfilter->k_states)])), (&__pyx_v_inc), __pyx_v_kfilter->_tmpK1, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":811
 *             # K1 = M[:, i:i+1] * F1 + K0 * F12
 *             blas.zcopy(&kfilter.k_states, &kfilter._M[i*kfilter.k_states], &inc, kfilter._tmpK1, &inc)
 *             blas.zscal(&kfilter.k_states, &F1, kfilter._tmpK1, &inc)             # <<<<<<<<<<<<<<
 *             blas.zaxpy(&kfilter.k_states, &F12, kfilter._tmpK0, &inc, kfilter._tmpK1, &inc)
 *             # L0 = np.eye(m) - np.dot(K0, Zi)
*/
      __pyx_f_5scipy_6linalg_11cython_blas_zscal((&__pyx_v_kfilter->k_states), (&__pyx_v_F1), __pyx_v_kfilter->_tmpK1, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":812
 *             blas.zcopy(&kfilter.k_states, &kfilter._M[i*kfilter.k_states], &inc, kfilter._tmpK1, &inc)
 *             blas.zscal(&kfilter.k_states, &F1, kfilter._tmpK1, &inc)
 *             blas.zaxpy(&kfilter.k_states, &F12, kfilter._tmpK0, &inc, kfilter._tmpK1, &inc)             # <<<<<<<<<<<<<<
 *             # L0 = np.eye(m) - np.dot(K0, Zi)
 *             kfilter.tmpL0[:] = 0
*/
      __pyx_f_5scipy_6linalg_11cython_blas_zaxpy((&__pyx_v_kfilter->k_states), (&__pyx_v_F12), __pyx_v_kfilter->_tmpK0, (&__pyx_v_inc), __pyx_v_kfilter->_tmpK1, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":814
 *             blas.zaxpy(&kfilter.k_states, &F12, kfilter._tmpK0, &inc, kfilter._tmpK1, &inc)
 *             # L0 = np.eye(m) - np.dot(K0, Zi)
 *             kfilter.tmpL0[:] = 0             # <<<<<<<<<<<<<<
 *             blas.zgeru(&model._k_states, &model._k_states, &gamma, kfilter._tmpK0, &inc, &model._design[i], &model._k_endog, kfilter._tmpL0, &kfilter.k_states)
 *             for j in range(kfilter.k_states):
*/
      if (unlikely(!__pyx_v_kfilter->tmpL0.memview)) {PyErr_SetString(PyExc_AttributeError,"Memoryview is not initialized");__PYX_ERR(0, 814, __pyx_L1_error)}
      {
          __pyx_t_double_complex __pyx_temp_scalar = __pyx_t_double_complex_from_parts(0, 0);
          {
              Py_ssize_t __pyx_temp_extent = __pyx_v_kfilter->tmpL0.shape[0] * __pyx_v_kfilter->tmpL0.shape[1];
              Py_ssize_t __pyx_temp_idx;
              __pyx_t_double_complex *__pyx_temp_pointer = (__pyx_t_double_complex *) __pyx_v_kfilter->tmpL0.data;
              for (__pyx_temp_idx = 0; __pyx_temp_idx < __pyx_temp_extent; __pyx_temp_idx++) {
                *((__pyx_t_double_complex *) __pyx_temp_pointer) = __pyx_temp_scalar;
                __pyx_temp_pointer += 1;
              }
          }
      }

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":815
 *             # L0 = np.eye(m) - np.dot(K0, Zi)
 *             kfilter.tmpL0[:] = 0
 *             blas.zgeru(&model._k_states, &model._k_states, &gamma, kfilter._tmpK0, &inc, &model._design[i], &model._k_endog, kfilter._tmpL0, &kfilter.k_states)             # <<<<<<<<<<<<<<
 *             for j in range(kfilter.k_states):
 *                 kfilter._tmpL0[j + j*kfilter.k_states] = kfilter._tmpL0[j + j*kfilter.k_states] + 1
*/
      __pyx_f_5scipy_6linalg_11cython_blas_zgeru((&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_gamma), __pyx_v_kfilter->_tmpK0, (&__pyx_v_inc), (&(__pyx_v_model->_design[__pyx_v_i])), (&__pyx_v_model->_k_endog), __pyx_v_kfilter->_tmpL0, (&__pyx_v_kfilter->k_states));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":816
 *             kfilter.tmpL0[:] = 0
 *             blas.zgeru(&model._k_states, &model._k_states, &gamma, kfilter._tmpK0, &inc, &model._design[i], &model._k_endog, kfilter._tmpL0, &kfilter.k_states)
 *             for j in range(kfilter.k_states):             # <<<<<<<<<<<<<<
 *                 kfilter._tmpL0[j + j*kfilter.k_states] = kfilter._tmpL0[j + j*kfilter.k_states] + 1
 *             # L1 = -np.dot(K1, Zi)
*/
      __pyx_t_6 = __pyx_v_kfilter->k_states;
      __pyx_t_7 = __pyx_t_6;
      for (__pyx_t_8 = 0; __pyx_t_8 < __pyx_t_7; __pyx_t_8+=1) {
        __pyx_v_j = __pyx_t_8;

        /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":817
 *             blas.zgeru(&model._k_states, &model._k_states, &gamma, kfilter._tmpK0, &inc, &model._design[i], &model._k_endog, kfilter._tmpL0, &kfilter.k_states)
 *             for j in range(kfilter.k_states):
 *                 kfilter._tmpL0[j + j*kfilter.k_states] = kfilter._tmpL0[j + j*kfilter.k_states] + 1             # <<<<<<<<<<<<<<
 *             # L1 = -np.dot(K1, Zi)
 *             kfilter.tmpL1[:] = 0
*/
        (__pyx_v_kfilter->_tmpL0[(__pyx_v_j + (__pyx_v_j * __pyx_v_kfilter->k_states))]) = __Pyx_c_sum_double((__pyx_v_kfilter->_tmpL0[(__pyx_v_j + (__pyx_v_j * __pyx_v_kfilter->k_states))]), __pyx_t_double_complex_from_parts(1, 0));
      }

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":819
 *                 kfilter._tmpL0[j + j*kfilter.k_states] = kfilter._tmpL0[j + j*kfilter.k_states] + 1
 *             # L1 = -np.dot(K1, Zi)
 *             kfilter.tmpL1[:] = 0             # <<<<<<<<<<<<<<
 *             blas.zgeru(&model._k_states, &model._k_states, &gamma, kfilter._tmpK1, &inc, &model._design[i], &model._k_endog, kfilter._tmpL1, &kfilter.k_states)
 * 
*/
      if (unlikely(!__pyx_v_kfilter->tmpL1.memview)) {PyErr_SetString(PyExc_AttributeError,"Memoryview is not initialized");__PYX_ERR(0, 819, __pyx_L1_error)}
      {
          __pyx_t_double_complex __pyx_temp_scalar = __pyx_t_double_complex_from_parts(0, 0);
          {
              Py_ssize_t __pyx_temp_extent = __pyx_v_kfilter->tmpL1.shape[0] * __pyx_v_kfilter->tmpL1.shape[1];
              Py_ssize_t __pyx_temp_idx;
              __pyx_t_double_complex *__pyx_temp_pointer = (__pyx_t_double_complex *) __pyx_v_kfilter->tmpL1.data;
              for (__pyx_temp_idx = 0; __pyx_temp_idx < __pyx_temp_extent; __pyx_temp_idx++) {
                *((__pyx_t_double_complex *) __pyx_temp_pointer) = __pyx_temp_scalar;
                __pyx_temp_pointer += 1;
              }
          }
      }

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":820
 *             # L1 = -np.dot(K1, Zi)
 *             kfilter.tmpL1[:] = 0
 *             blas.zgeru(&model._k_states, &model._k_states, &gamma, kfilter._tmpK1, &inc, &model._design[i], &model._k_endog, kfilter._tmpL1, &kfilter.k_states)             # <<<<<<<<<<<<<<
 * 
 *             # a_t = a_t + K0[:, 0] * v[i]
*/
      __pyx_f_5scipy_6linalg_11cython_blas_zgeru((&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_gamma), __pyx_v_kfilter->_tmpK1, (&__pyx_v_inc), (&(__pyx_v_model->_design[__pyx_v_i])), (&__pyx_v_model->_k_endog), __pyx_v_kfilter->_tmpL1, (&__pyx_v_kfilter->k_states));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":823
 * 
 *             # a_t = a_t + K0[:, 0] * v[i]
 *             blas.zaxpy(&kfilter.k_states, &kfilter._forecast_error[i], kfilter._tmpK0, &inc, kfilter._filtered_state, &inc)             # <<<<<<<<<<<<<<
 * 
 *             # P_t = np.dot(P_t_inf, L1.T) + np.dot(P_t, L0.T)
*/
      __pyx_f_5scipy_6linalg_11cython_blas_zaxpy((&__pyx_v_kfilter->k_states), (&(__pyx_v_kfilter->_forecast_error[__pyx_v_i])), __pyx_v_kfilter->_tmpK0, (&__pyx_v_inc), __pyx_v_kfilter->_filtered_state, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":827
 *             # P_t = np.dot(P_t_inf, L1.T) + np.dot(P_t, L0.T)
 *             # `tmp0` array used here, dimension $(m \times m)$
 *             blas.zcopy(&kfilter.k_states2, kfilter._filtered_state_cov, &inc, kfilter._tmp0, &inc)             # <<<<<<<<<<<<<<
 *             blas.zgemm("N", "T", &model._k_states, &model._k_states, &model._k_states,
 *               &alpha, kfilter._tmp0, &kfilter.k_states,
*/
      __pyx_f_5scipy_6linalg_11cython_blas_zcopy((&__pyx_v_kfilter->k_states2), __pyx_v_kfilter->_filtered_state_cov, (&__pyx_v_inc), __pyx_v_kfilter->_tmp0, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":828
 *             # `tmp0` array used here, dimension $(m \times m)$
 *             blas.zcopy(&kfilter.k_states2, kfilter._filtered_state_cov, &inc, kfilter._tmp0, &inc)
 *             blas.zgemm("N", "T", &model._k_states, &model._k_states, &model._k_states,             # <<<<<<<<<<<<<<
 *               &alpha, kfilter._tmp0, &kfilter.k_states,
 *                       kfilter._tmpL0, &kfilter.k_states,
*/
      __pyx_f_5scipy_6linalg_11cython_blas_zgemm(((char *)"N"), ((char *)"T"), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_alpha), __pyx_v_kfilter->_tmp0, (&__pyx_v_kfilter->k_states), __pyx_v_kfilter->_tmpL0, (&__pyx_v_kfilter->k_states), (&__pyx_v_beta), __pyx_v_kfilter->_filtered_state_cov, (&__pyx_v_kfilter->k_states));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":832
 *                       kfilter._tmpL0, &kfilter.k_states,
 *               &beta, kfilter._filtered_state_cov, &kfilter.k_states)
 *             blas.zgemm("N", "T", &model._k_states, &model._k_states, &model._k_states,             # <<<<<<<<<<<<<<
 *               &alpha, kfilter._predicted_diffuse_state_cov, &kfilter.k_states,
 *                       kfilter._tmpL1, &kfilter.k_states,
*/
      __pyx_f_5scipy_6linalg_11cython_blas_zgemm(((char *)"N"), ((char *)"T"), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_alpha), __pyx_v_kfilter->_predicted_diffuse_state_cov, (&__pyx_v_kfilter->k_states), __pyx_v_kfilter->_tmpL1, (&__pyx_v_kfilter->k_states), (&__pyx_v_alpha), __pyx_v_kfilter->_filtered_state_cov, (&__pyx_v_kfilter->k_states));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":837
 *               &alpha, kfilter._filtered_state_cov, &kfilter.k_states)
 *             # P_t_inf = np.dot(P_t_inf, L0.T)
 *             blas.zcopy(&kfilter.k_states2, kfilter._predicted_diffuse_state_cov, &inc, kfilter._tmp0, &inc)             # <<<<<<<<<<<<<<
 *             blas.zgemm("N", "T", &model._k_states, &model._k_states, &model._k_states,
 *               &alpha, kfilter._tmp0, &kfilter.k_states,
*/
      __pyx_f_5scipy_6linalg_11cython_blas_zcopy((&__pyx_v_kfilter->k_states2), __pyx_v_kfilter->_predicted_diffuse_state_cov, (&__pyx_v_inc), __pyx_v_kfilter->_tmp0, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":838
 *             # P_t_inf = np.dot(P_t_inf, L0.T)
 *             blas.zcopy(&kfilter.k_states2, kfilter._predicted_diffuse_state_cov, &inc, kfilter._tmp0, &inc)
 *             blas.zgemm("N", "T", &model._k_states, &model._k_states, &model._k_states,             # <<<<<<<<<<<<<<
 *               &alpha, kfilter._tmp0, &kfilter.k_states,
 *                       kfilter._tmpL0, &kfilter.k_states,
*/
      __pyx_f_5scipy_6linalg_11cython_blas_zgemm(((char *)"N"), ((char *)"T"), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_alpha), __pyx_v_kfilter->_tmp0, (&__pyx_v_kfilter->k_states), __pyx_v_kfilter->_tmpL0, (&__pyx_v_kfilter->k_states), (&__pyx_v_beta), __pyx_v_kfilter->_predicted_diffuse_state_cov, (&__pyx_v_kfilter->k_states));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":844
 * 
 *             # Loglikelihood
 *             kfilter._loglikelihood[0] = (             # <<<<<<<<<<<<<<
 *                 kfilter._loglikelihood[0] - 0.5*(
 *                     zlog(2 * M_PI * forecast_error_diffuse_cov)))
*/
      (__pyx_v_kfilter->_loglikelihood[0]) = __Pyx_c_diff_double((__pyx_v_kfilter->_loglikelihood[0]), __Pyx_c_prod_double(__pyx_t_double_complex_from_parts(0.5, 0), __pyx_f_11statsmodels_3src_4math_zlog(__Pyx_c_prod_double(__pyx_t_double_complex_from_parts((2.0 * M_PI), 0), __pyx_v_forecast_error_diffuse_cov))));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":797
 * 
 *         # F_{\infty, i, i, t} > 0
 *         if forecast_error_diffuse_cov.real > kfilter.tolerance_diffuse:             # <<<<<<<<<<<<<<
 *             forecast_error_diffuse_cov_inv = 1.0 / forecast_error_diffuse_cov
 * 
*/
      goto __pyx_L8;
    }

    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":847
 *                 kfilter._loglikelihood[0] - 0.5*(
 *                     zlog(2 * M_PI * forecast_error_diffuse_cov)))
 *         elif forecast_error_cov.real > kfilter.tolerance_diffuse:             # <<<<<<<<<<<<<<
 *             kfilter.nobs_kendog_diffuse_nonsingular = kfilter.nobs_kendog_diffuse_nonsingular + 1
 *             forecast_error_cov_inv = 1.0 / forecast_error_cov
*/
    __pyx_t_5 = (__Pyx_CREAL(__pyx_v_forecast_error_cov) > __pyx_v_kfilter->tolerance_diffuse);
    if (__pyx_t_5) {

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":848
 *                     zlog(2 * M_PI * forecast_error_diffuse_cov)))
 *         elif forecast_error_cov.real > kfilter.tolerance_diffuse:
 *             kfilter.nobs_kendog_diffuse_nonsingular = kfilter.nobs_kendog_diffuse_nonsingular + 1             # <<<<<<<<<<<<<<
 *             forecast_error_cov_inv = 1.0 / forecast_error_cov
 * 
*/
      __pyx_v_kfilter->nobs_kendog_diffuse_nonsingular = (__pyx_v_kfilter->nobs_kendog_diffuse_nonsingular + 1);

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":849
 *         elif forecast_error_cov.real > kfilter.tolerance_diffuse:
 *             kfilter.nobs_kendog_diffuse_nonsingular = kfilter.nobs_kendog_diffuse_nonsingular + 1
 *             forecast_error_cov_inv = 1.0 / forecast_error_cov             # <<<<<<<<<<<<<<
 * 
 *             # Standardized forecasts error
*/
      __pyx_t_4 = __pyx_t_double_complex_from_parts(1.0, 0);
      if (unlikely(__Pyx_c_is_zero_double(__pyx_v_forecast_error_cov))) {
        PyErr_SetString(PyExc_ZeroDivisionError, "float division");
        __PYX_ERR(0, 849, __pyx_L1_error)
      }
      __pyx_v_forecast_error_cov_inv = __Pyx_c_quot_double(__pyx_t_4, __pyx_v_forecast_error_cov);

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":852
 * 
 *             # Standardized forecasts error
 *             if not (kfilter.conserve_memory & MEMORY_NO_STD_FORECAST > 0):             # <<<<<<<<<<<<<<
 *                 kfilter._standardized_forecast_error[i] = (
 *                     kfilter._forecast_error[i] * forecast_error_cov_inv**0.5)
*/
      __pyx_t_5 = (!((__pyx_v_kfilter->conserve_memory & __pyx_v_11statsmodels_3tsa_10statespace_14_kalman_filter_MEMORY_NO_STD_FORECAST) > 0));
      if (__pyx_t_5) {

        /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":853
 *             # Standardized forecasts error
 *             if not (kfilter.conserve_memory & MEMORY_NO_STD_FORECAST > 0):
 *                 kfilter._standardized_forecast_error[i] = (             # <<<<<<<<<<<<<<
 *                     kfilter._forecast_error[i] * forecast_error_cov_inv**0.5)
 * 
*/
        (__pyx_v_kfilter->_standardized_forecast_error[__pyx_v_i]) = __Pyx_c_prod_double((__pyx_v_kfilter->_forecast_error[__pyx_v_i]), __Pyx_c_pow_double(__pyx_v_forecast_error_cov_inv, __pyx_t_double_complex_from_parts(0.5, 0)));

        /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":852
 * 
 *             # Standardized forecasts error
 *             if not (kfilter.conserve_memory & MEMORY_NO_STD_FORECAST > 0):             # <<<<<<<<<<<<<<
 *                 kfilter._standardized_forecast_error[i] = (
 *                     kfilter._forecast_error[i] * forecast_error_cov_inv**0.5)
*/
      }

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":857
 * 
 *             # K0 = M[:, i:i+1] / F[i, i]
 *             blas.zcopy(&kfilter.k_states, &kfilter._M[i*kfilter.k_states], &inc, kfilter._tmpK0, &inc)             # <<<<<<<<<<<<<<
 *             blas.zscal(&kfilter.k_states, &forecast_error_cov_inv, kfilter._tmpK0, &inc)
 * 
*/
      __pyx_f_5scipy_6linalg_11cython_blas_zcopy((&__pyx_v_kfilter->k_states), (&(__pyx_v_kfilter->_M[(__pyx_v_i * __pyx_v_kfilter->k_states)])), (&__pyx_v_inc), __pyx_v_kfilter->_tmpK0, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":858
 *             # K0 = M[:, i:i+1] / F[i, i]
 *             blas.zcopy(&kfilter.k_states, &kfilter._M[i*kfilter.k_states], &inc, kfilter._tmpK0, &inc)
 *             blas.zscal(&kfilter.k_states, &forecast_error_cov_inv, kfilter._tmpK0, &inc)             # <<<<<<<<<<<<<<
 * 
 *             # L0 = np.eye(m) - np.dot(K0, Zi)
*/
      __pyx_f_5scipy_6linalg_11cython_blas_zscal((&__pyx_v_kfilter->k_states), (&__pyx_v_forecast_error_cov_inv), __pyx_v_kfilter->_tmpK0, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":861
 * 
 *             # L0 = np.eye(m) - np.dot(K0, Zi)
 *             kfilter.tmpL0[:] = 0             # <<<<<<<<<<<<<<
 *             blas.zgeru(&model._k_states, &model._k_states, &gamma, kfilter._tmpK0, &inc, &model._design[i], &model._k_endog, kfilter._tmpL0, &kfilter.k_states)
 *             for j in range(kfilter.k_states):
*/
      if (unlikely(!__pyx_v_kfilter->tmpL0.memview)) {PyErr_SetString(PyExc_AttributeError,"Memoryview is not initialized");__PYX_ERR(0, 861, __pyx_L1_error)}
      {
          __pyx_t_double_complex __pyx_temp_scalar = __pyx_t_double_complex_from_parts(0, 0);
          {
              Py_ssize_t __pyx_temp_extent = __pyx_v_kfilter->tmpL0.shape[0] * __pyx_v_kfilter->tmpL0.shape[1];
              Py_ssize_t __pyx_temp_idx;
              __pyx_t_double_complex *__pyx_temp_pointer = (__pyx_t_double_complex *) __pyx_v_kfilter->tmpL0.data;
              for (__pyx_temp_idx = 0; __pyx_temp_idx < __pyx_temp_extent; __pyx_temp_idx++) {
                *((__pyx_t_double_complex *) __pyx_temp_pointer) = __pyx_temp_scalar;
                __pyx_temp_pointer += 1;
              }
          }
      }

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":862
 *             # L0 = np.eye(m) - np.dot(K0, Zi)
 *             kfilter.tmpL0[:] = 0
 *             blas.zgeru(&model._k_states, &model._k_states, &gamma, kfilter._tmpK0, &inc, &model._design[i], &model._k_endog, kfilter._tmpL0, &kfilter.k_states)             # <<<<<<<<<<<<<<
 *             for j in range(kfilter.k_states):
 *                 kfilter._tmpL0[j + j*kfilter.k_states] = kfilter._tmpL0[j + j*kfilter.k_states] + 1
*/
      __pyx_f_5scipy_6linalg_11cython_blas_zgeru((&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_gamma), __pyx_v_kfilter->_tmpK0, (&__pyx_v_inc), (&(__pyx_v_model->_design[__pyx_v_i])), (&__pyx_v_model->_k_endog), __pyx_v_kfilter->_tmpL0, (&__pyx_v_kfilter->k_states));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":863
 *             kfilter.tmpL0[:] = 0
 *             blas.zgeru(&model._k_states, &model._k_states, &gamma, kfilter._tmpK0, &inc, &model._design[i], &model._k_endog, kfilter._tmpL0, &kfilter.k_states)
 *             for j in range(kfilter.k_states):             # <<<<<<<<<<<<<<
 *                 kfilter._tmpL0[j + j*kfilter.k_states] = kfilter._tmpL0[j + j*kfilter.k_states] + 1
 * 
*/
      __pyx_t_6 = __pyx_v_kfilter->k_states;
      __pyx_t_7 = __pyx_t_6;
      for (__pyx_t_8 = 0; __pyx_t_8 < __pyx_t_7; __pyx_t_8+=1) {
        __pyx_v_j = __pyx_t_8;

        /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":864
 *             blas.zgeru(&model._k_states, &model._k_states, &gamma, kfilter._tmpK0, &inc, &model._design[i], &model._k_endog, kfilter._tmpL0, &kfilter.k_states)
 *             for j in range(kfilter.k_states):
 *                 kfilter._tmpL0[j + j*kfilter.k_states] = kfilter._tmpL0[j + j*kfilter.k_states] + 1             # <<<<<<<<<<<<<<
 * 
 *             # a_t = a_t + K0[:, 0] * v[i]
*/
        (__pyx_v_kfilter->_tmpL0[(__pyx_v_j + (__pyx_v_j * __pyx_v_kfilter->k_states))]) = __Pyx_c_sum_double((__pyx_v_kfilter->_tmpL0[(__pyx_v_j + (__pyx_v_j * __pyx_v_kfilter->k_states))]), __pyx_t_double_complex_from_parts(1, 0));
      }

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":867
 * 
 *             # a_t = a_t + K0[:, 0] * v[i]
 *             blas.zaxpy(&kfilter.k_states, &kfilter._forecast_error[i], kfilter._tmpK0, &inc, kfilter._filtered_state, &inc)             # <<<<<<<<<<<<<<
 *             # P_t = np.dot(P_t, L0)
 *             blas.zcopy(&kfilter.k_states2, kfilter._filtered_state_cov, &inc, kfilter._tmp0, &inc)
*/
      __pyx_f_5scipy_6linalg_11cython_blas_zaxpy((&__pyx_v_kfilter->k_states), (&(__pyx_v_kfilter->_forecast_error[__pyx_v_i])), __pyx_v_kfilter->_tmpK0, (&__pyx_v_inc), __pyx_v_kfilter->_filtered_state, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":869
 *             blas.zaxpy(&kfilter.k_states, &kfilter._forecast_error[i], kfilter._tmpK0, &inc, kfilter._filtered_state, &inc)
 *             # P_t = np.dot(P_t, L0)
 *             blas.zcopy(&kfilter.k_states2, kfilter._filtered_state_cov, &inc, kfilter._tmp0, &inc)             # <<<<<<<<<<<<<<
 *             blas.zgemm("N", "T", &model._k_states, &model._k_states, &model._k_states,
 *               &alpha, kfilter._tmp0, &kfilter.k_states,
*/
      __pyx_f_5scipy_6linalg_11cython_blas_zcopy((&__pyx_v_kfilter->k_states2), __pyx_v_kfilter->_filtered_state_cov, (&__pyx_v_inc), __pyx_v_kfilter->_tmp0, (&__pyx_v_inc));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":870
 *             # P_t = np.dot(P_t, L0)
 *             blas.zcopy(&kfilter.k_states2, kfilter._filtered_state_cov, &inc, kfilter._tmp0, &inc)
 *             blas.zgemm("N", "T", &model._k_states, &model._k_states, &model._k_states,             # <<<<<<<<<<<<<<
 *               &alpha, kfilter._tmp0, &kfilter.k_states,
 *                       kfilter._tmpL0, &kfilter.k_states,
*/
      __pyx_f_5scipy_6linalg_11cython_blas_zgemm(((char *)"N"), ((char *)"T"), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_alpha), __pyx_v_kfilter->_tmp0, (&__pyx_v_kfilter->k_states), __pyx_v_kfilter->_tmpL0, (&__pyx_v_kfilter->k_states), (&__pyx_v_beta), __pyx_v_kfilter->_filtered_state_cov, (&__pyx_v_kfilter->k_states));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":878
 * 
 *             # Loglikelihood
 *             if not forecast_error_cov == 0:             # <<<<<<<<<<<<<<
 *                 kfilter._loglikelihood[0] = (
 *                     kfilter._loglikelihood[0] - 0.5*(
*/
      __pyx_t_5 = (!(__Pyx_c_eq_double(__pyx_v_forecast_error_cov, __pyx_t_double_complex_from_parts(0, 0))));
      if (__pyx_t_5) {

        /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":879
 *             # Loglikelihood
 *             if not forecast_error_cov == 0:
 *                 kfilter._loglikelihood[0] = (             # <<<<<<<<<<<<<<
 *                     kfilter._loglikelihood[0] - 0.5*(
 *                         zlog(2 * M_PI * forecast_error_cov)))
*/
        (__pyx_v_kfilter->_loglikelihood[0]) = __Pyx_c_diff_double((__pyx_v_kfilter->_loglikelihood[0]), __Pyx_c_prod_double(__pyx_t_double_complex_from_parts(0.5, 0), __pyx_f_11statsmodels_3src_4math_zlog(__Pyx_c_prod_double(__pyx_t_double_complex_from_parts((2.0 * M_PI), 0), __pyx_v_forecast_error_cov))));

        /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":883
 *                         zlog(2 * M_PI * forecast_error_cov)))
 * 
 *                 if kfilter.filter_method & FILTER_CONCENTRATED:             # <<<<<<<<<<<<<<
 *                     kfilter._scale[0] = kfilter._scale[0] + kfilter._forecast_error[i]**2 * forecast_error_cov_inv
 *                 else:
*/
        __pyx_t_5 = ((__pyx_v_kfilter->filter_method & __pyx_v_11statsmodels_3tsa_10statespace_14_kalman_filter_FILTER_CONCENTRATED) != 0);
        if (__pyx_t_5) {

          /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":884
 * 
 *                 if kfilter.filter_method & FILTER_CONCENTRATED:
 *                     kfilter._scale[0] = kfilter._scale[0] + kfilter._forecast_error[i]**2 * forecast_error_cov_inv             # <<<<<<<<<<<<<<
 *                 else:
 *                     kfilter._loglikelihood[0] = kfilter._loglikelihood[0] - 0.5 * (kfilter._forecast_error[i]**2 * forecast_error_cov_inv)
*/
          (__pyx_v_kfilter->_scale[0]) = __Pyx_c_sum_double((__pyx_v_kfilter->_scale[0]), __Pyx_c_prod_double(__Pyx_c_pow_double((__pyx_v_kfilter->_forecast_error[__pyx_v_i]), __pyx_t_double_complex_from_parts(2, 0)), __pyx_v_forecast_error_cov_inv));

          /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":883
 *                         zlog(2 * M_PI * forecast_error_cov)))
 * 
 *                 if kfilter.filter_method & FILTER_CONCENTRATED:             # <<<<<<<<<<<<<<
 *                     kfilter._scale[0] = kfilter._scale[0] + kfilter._forecast_error[i]**2 * forecast_error_cov_inv
 *                 else:
*/
          goto __pyx_L15;
        }

        /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":886
 *                     kfilter._scale[0] = kfilter._scale[0] + kfilter._forecast_error[i]**2 * forecast_error_cov_inv
 *                 else:
 *                     kfilter._loglikelihood[0] = kfilter._loglikelihood[0] - 0.5 * (kfilter._forecast_error[i]**2 * forecast_error_cov_inv)             # <<<<<<<<<<<<<<
 * 
 *         # Kalman gain
*/
        /*else*/ {
          (__pyx_v_kfilter->_loglikelihood[0]) = __Pyx_c_diff_double((__pyx_v_kfilter->_loglikelihood[0]), __Pyx_c_prod_double(__pyx_t_double_complex_from_parts(0.5, 0), __Pyx_c_prod_double(__Pyx_c_pow_double((__pyx_v_kfilter->_forecast_error[__pyx_v_i]), __pyx_t_double_complex_from_parts(2, 0)), __pyx_v_forecast_error_cov_inv)));
        }
        __pyx_L15:;

        /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":878
 * 
 *             # Loglikelihood
 *             if not forecast_error_cov == 0:             # <<<<<<<<<<<<<<
 *                 kfilter._loglikelihood[0] = (
 *                     kfilter._loglikelihood[0] - 0.5*(
*/
      }

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":847
 *                 kfilter._loglikelihood[0] - 0.5*(
 *                     zlog(2 * M_PI * forecast_error_diffuse_cov)))
 *         elif forecast_error_cov.real > kfilter.tolerance_diffuse:             # <<<<<<<<<<<<<<
 *             kfilter.nobs_kendog_diffuse_nonsingular = kfilter.nobs_kendog_diffuse_nonsingular + 1
 *             forecast_error_cov_inv = 1.0 / forecast_error_cov
*/
    }
    __pyx_L8:;

    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":889
 * 
 *         # Kalman gain
 *         blas.zcopy(&kfilter.k_states, kfilter._tmpK0, &inc, &kfilter._kalman_gain[i * kfilter.k_states], &inc)             # <<<<<<<<<<<<<<
 * 
 *         # Prediction (done below)
*/
    __pyx_f_5scipy_6linalg_11cython_blas_zcopy((&__pyx_v_kfilter->k_states), __pyx_v_kfilter->_tmpK0, (&__pyx_v_inc), (&(__pyx_v_kfilter->_kalman_gain[(__pyx_v_i * __pyx_v_kfilter->k_states)])), (&__pyx_v_inc));
  }

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":896
 *         # P_t1_inf[:] = np.dot(np.dot(T, P_t_inf), T.T)
 * 
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __pyx_r = 0;
  goto __pyx_L0;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":756
 * # See Durbin and Koopman (2012) Chapter 6.4
 * 
 * cdef int zforecast_univariate_diffuse(zKalmanFilter kfilter, zStatespace model):             # <<<<<<<<<<<<<<
 *     # Constants
 *     cdef:
*/

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_AddTraceback("statsmodels.tsa.statespace._filters._univariate_diffuse.zforecast_univariate_diffuse", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = -1;
  __pyx_L0:;
  return __pyx_r;
}

/* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":899
 * 
 * 
 * cdef np.complex128_t zforecast_error_diffuse_cov(zKalmanFilter kfilter, zStatespace model, int i):             # <<<<<<<<<<<<<<
 *     cdef:
 *         int inc = 1
*/

static __pyx_t_double_complex __pyx_f_11statsmodels_3tsa_10statespace_8_filters_19_univariate_diffuse_zforecast_error_diffuse_cov(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_zKalmanFilter *__pyx_v_kfilter, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_zStatespace *__pyx_v_model, int __pyx_v_i) {
  int __pyx_v_inc;
  __pyx_t_double_complex __pyx_v_alpha;
  __pyx_t_double_complex __pyx_v_beta;
  __pyx_t_double_complex __pyx_v_forecast_error_diffuse_cov;
  int __pyx_v_k_states;
  __pyx_t_double_complex __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":901
 * cdef np.complex128_t zforecast_error_diffuse_cov(zKalmanFilter kfilter, zStatespace model, int i):
 *     cdef:
 *         int inc = 1             # <<<<<<<<<<<<<<
 *         np.complex128_t alpha = 1
 *         np.complex128_t beta = 0
*/
  __pyx_v_inc = 1;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":902
 *     cdef:
 *         int inc = 1
 *         np.complex128_t alpha = 1             # <<<<<<<<<<<<<<
 *         np.complex128_t beta = 0
 *         np.complex128_t forecast_error_diffuse_cov
*/
  __pyx_v_alpha = __pyx_t_double_complex_from_parts(1, 0);

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":903
 *         int inc = 1
 *         np.complex128_t alpha = 1
 *         np.complex128_t beta = 0             # <<<<<<<<<<<<<<
 *         np.complex128_t forecast_error_diffuse_cov
 *         int k_states = model._k_states
*/
  __pyx_v_beta = __pyx_t_double_complex_from_parts(0, 0);

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":905
 *         np.complex128_t beta = 0
 *         np.complex128_t forecast_error_diffuse_cov
 *         int k_states = model._k_states             # <<<<<<<<<<<<<<
 * 
 *     # Adjust for a VAR transition (i.e. design = [#, 0], where the zeros
*/
  __pyx_t_1 = __pyx_v_model->_k_states;
  __pyx_v_k_states = __pyx_t_1;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":909
 *     # Adjust for a VAR transition (i.e. design = [#, 0], where the zeros
 *     # correspond to all states except the first k_posdef states)
 *     if model.subset_design:             # <<<<<<<<<<<<<<
 *         k_states = model._k_posdef
 * 
*/
  __pyx_t_2 = (__pyx_v_model->subset_design != 0);
  if (__pyx_t_2) {

    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":910
 *     # correspond to all states except the first k_posdef states)
 *     if model.subset_design:
 *         k_states = model._k_posdef             # <<<<<<<<<<<<<<
 * 
 *     # *Intermediate calculation*
*/
    __pyx_t_1 = __pyx_v_model->_k_posdef;
    __pyx_v_k_states = __pyx_t_1;

    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":909
 *     # Adjust for a VAR transition (i.e. design = [#, 0], where the zeros
 *     # correspond to all states except the first k_posdef states)
 *     if model.subset_design:             # <<<<<<<<<<<<<<
 *         k_states = model._k_posdef
 * 
*/
  }

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":916
 *     # $M_{i, \infty} = P_{t,i,\infty} Z_{t,i}'$
 *     # $(m \times 1) = (m \times m) (1 \times m)'$
 *     blas.zgemv("N", &model._k_states, &model._k_states,             # <<<<<<<<<<<<<<
 *           &alpha, kfilter._predicted_diffuse_state_cov, &kfilter.k_states,
 *                   &model._design[i], &model._k_endog,
*/
  __pyx_f_5scipy_6linalg_11cython_blas_zgemv(((char *)"N"), (&__pyx_v_model->_k_states), (&__pyx_v_model->_k_states), (&__pyx_v_alpha), __pyx_v_kfilter->_predicted_diffuse_state_cov, (&__pyx_v_kfilter->k_states), (&(__pyx_v_model->_design[__pyx_v_i])), (&__pyx_v_model->_k_endog), (&__pyx_v_beta), (&(__pyx_v_kfilter->_M_inf[(__pyx_v_i * __pyx_v_kfilter->k_states)])), (&__pyx_v_inc));

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":927
 *     #       &beta, &kfilter._M_inf[i * kfilter.k_states], &inc)
 * 
 *     blas.zgemv("N", &inc, &k_states,             # <<<<<<<<<<<<<<
 *                    &alpha, &kfilter._M_inf[i * kfilter.k_states], &inc,
 *                            &model._design[i], &model._k_endog,
*/
  __pyx_f_5scipy_6linalg_11cython_blas_zgemv(((char *)"N"), (&__pyx_v_inc), (&__pyx_v_k_states), (&__pyx_v_alpha), (&(__pyx_v_kfilter->_M_inf[(__pyx_v_i * __pyx_v_kfilter->k_states)])), (&__pyx_v_inc), (&(__pyx_v_model->_design[__pyx_v_i])), (&__pyx_v_model->_k_endog), (&__pyx_v_beta), __pyx_v_kfilter->_tmp0, (&__pyx_v_inc));

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":931
 *                            &model._design[i], &model._k_endog,
 *                    &beta, kfilter._tmp0, &inc)
 *     forecast_error_diffuse_cov = kfilter._tmp0[0]             # <<<<<<<<<<<<<<
 *     kfilter._forecast_error_diffuse_cov[i + i*kfilter.k_endog] = forecast_error_diffuse_cov
 *     return forecast_error_diffuse_cov
*/
  __pyx_v_forecast_error_diffuse_cov = (__pyx_v_kfilter->_tmp0[0]);

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":932
 *                    &beta, kfilter._tmp0, &inc)
 *     forecast_error_diffuse_cov = kfilter._tmp0[0]
 *     kfilter._forecast_error_diffuse_cov[i + i*kfilter.k_endog] = forecast_error_diffuse_cov             # <<<<<<<<<<<<<<
 *     return forecast_error_diffuse_cov
 * 
*/
  (__pyx_v_kfilter->_forecast_error_diffuse_cov[(__pyx_v_i + (__pyx_v_i * __pyx_v_kfilter->k_endog))]) = __pyx_v_forecast_error_diffuse_cov;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":933
 *     forecast_error_diffuse_cov = kfilter._tmp0[0]
 *     kfilter._forecast_error_diffuse_cov[i + i*kfilter.k_endog] = forecast_error_diffuse_cov
 *     return forecast_error_diffuse_cov             # <<<<<<<<<<<<<<
 * 
 * 
*/
  __pyx_r = __pyx_v_forecast_error_diffuse_cov;
  goto __pyx_L0;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":899
 * 
 * 
 * cdef np.complex128_t zforecast_error_diffuse_cov(zKalmanFilter kfilter, zStatespace model, int i):             # <<<<<<<<<<<<<<
 *     cdef:
 *         int inc = 1
*/

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":936
 * 
 * 
 * cdef int zprediction_univariate_diffuse(zKalmanFilter kfilter, zStatespace model):             # <<<<<<<<<<<<<<
 *     # Constants
 *     cdef:
*/

static int __pyx_f_11statsmodels_3tsa_10statespace_8_filters_19_univariate_diffuse_zprediction_univariate_diffuse(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_zKalmanFilter *__pyx_v_kfilter, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_zStatespace *__pyx_v_model) {
  CYTHON_UNUSED int __pyx_v_inc;
  CYTHON_UNUSED __pyx_t_double_complex __pyx_v_alpha;
  CYTHON_UNUSED __pyx_t_double_complex __pyx_v_beta;
  CYTHON_UNUSED __pyx_t_double_complex __pyx_v_gamma;
  int __pyx_r;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":939
 *     # Constants
 *     cdef:
 *         int inc = 1             # <<<<<<<<<<<<<<
 *         int i, j
 *         np.complex128_t alpha = 1.0
*/
  __pyx_v_inc = 1;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":941
 *         int inc = 1
 *         int i, j
 *         np.complex128_t alpha = 1.0             # <<<<<<<<<<<<<<
 *         np.complex128_t beta = 0.0
 *         np.complex128_t gamma = -1.0
*/
  __pyx_v_alpha = __pyx_t_double_complex_from_parts(1.0, 0);

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":942
 *         int i, j
 *         np.complex128_t alpha = 1.0
 *         np.complex128_t beta = 0.0             # <<<<<<<<<<<<<<
 *         np.complex128_t gamma = -1.0
 * 
*/
  __pyx_v_beta = __pyx_t_double_complex_from_parts(0.0, 0);

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":943
 *         np.complex128_t alpha = 1.0
 *         np.complex128_t beta = 0.0
 *         np.complex128_t gamma = -1.0             # <<<<<<<<<<<<<<
 * 
 *     zpredicted_state(kfilter, model)
*/
  __pyx_v_gamma = __pyx_t_double_complex_from_parts(-1.0, 0);

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":945
 *         np.complex128_t gamma = -1.0
 * 
 *     zpredicted_state(kfilter, model)             # <<<<<<<<<<<<<<
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  0, /*tp_alloc*/
  __pyx_tp_new_array, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if CYTHON_USE_TP_FINALIZE
  0, /*tp_finalize*/
  #else
  NULL, /*tp_finalize*/
  #endif
  #if !CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800
  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_Enum(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  struct __pyx_MemviewEnum_obj *p;
  PyObject *o;
  o = __Pyx_AllocateExtensionType(t, 0);
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_MemviewEnum_obj *)o);
  p->name = Py_None; Py_INCREF(Py_None);
  return o;
}

static void __pyx_tp_dealloc_Enum(PyObject *o) {
  struct __pyx_MemviewEnum_obj *p = (struct __pyx_MemviewEnum_obj *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(__Pyx_PyObject_GetSlot(o, tp_finalize, destructor)) && !__Pyx_PyObject_GC_IsFinalized(o)) {
    if (__Pyx_PyObject_GetSlot(o, tp_dealloc, destructor) == __pyx_tp_dealloc_Enum) {
      if (PyObject_CallFinalizerFromDealloc(o)) return;
    }
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->name);
  PyTypeObject *tp = Py_TYPE(o);
  #if CYTHON_USE_TYPE_SLOTS
  (*tp->tp_free)(o);
  #else
  {
    freefunc tp_free = (freefunc)PyType_GetSlot(tp, Py_tp_free);
    if (tp_free) tp_free(o);
  }
  #endif
  #if CYTHON_USE_TYPE_SPECS
  Py_DECREF(tp);
  #endif
}

static int __pyx_tp_traverse_Enum(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_MemviewEnum_obj *p = (struct __pyx_MemviewEnum_obj *)o;
  {
    e = __Pyx_call_type_traverse(o, 1, v, a);
    if (e) return e;
  }
  if (p->name) {
    e = (*v)(p->name, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_Enum(PyObject *o) {
  PyObject* tmp;
  struct __pyx_MemviewEnum_obj *p = (struct __pyx_MemviewEnum_obj *)o;
  tmp = ((PyObject*)p->name);
  p->name = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyMethodDef __pyx_methods_Enum[] = {
  {"__reduce_cython__", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw___pyx_MemviewEnum_1__reduce_cython__, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {"__setstate_cython__", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw___pyx_MemviewEnum_3__setstate_cython__, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {0, 0, 0, 0}
};
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_type___pyx_MemviewEnum_slots[] = {
  {Py_tp_dealloc, (void *)__pyx_tp_dealloc_Enum},
  {Py_tp_repr, (void *)__pyx_MemviewEnum___repr__},
  {Py_tp_traverse, (void *)__pyx_tp_traverse_Enum},
  {Py_tp_clear, (void *)__pyx_tp_clear_Enum},
  {Py_tp_methods, (void *)__pyx_methods_Enum},
  {Py_tp_init, (void *)__pyx_MemviewEnum___init__},
  {Py_tp_new, (void *)__pyx_tp_new_Enum},
  {0, 0},
};
static PyType_Spec __pyx_type___pyx_MemviewEnum_spec = {
  "statsmodels.tsa.statespace._filters._univariate_diffuse.Enum",
  sizeof(struct __pyx_MemviewEnum_obj),
  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___pyx_MemviewEnum_slots,
};
#else

static PyTypeObject __pyx_type___pyx_MemviewEnum = {
  PyVarObject_HEAD_INIT(0, 0)
  "statsmodels.tsa.statespace._filters._univariate_diffuse.""Enum", /*tp_name*/
  sizeof(struct __pyx_MemviewEnum_obj), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_Enum, /*tp_dealloc*/
  0, /*tp_vectorcall_offset*/
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  0, /*tp_as_async*/
  __pyx_MemviewEnum___repr__, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_Enum, /*tp_traverse*/
  __pyx_tp_clear_Enum, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_Enum, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  #if !CYTHON_USE_TYPE_SPECS
  0, /*tp_dictoffset*/
  #endif
  __pyx_MemviewEnum___init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_Enum, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if CYTHON_USE_TP_FINALIZE
  0, /*tp_finalize*/
  #else
  NULL, /*tp_finalize*/
  #endif
  #if !CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800
  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 struct __pyx_vtabstruct_memoryview __pyx_vtable_memoryview;

static PyObject *__pyx_tp_new_memoryview(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_memoryview_obj *p;
  PyObject *o;
  o = __Pyx_AllocateExtensionType(t, 0);
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_memoryview_obj *)o);
  p->__pyx_vtab = __pyx_vtabptr_memoryview;
  p->obj = Py_None; Py_INCREF(Py_None);
  p->_size = Py_None; Py_INCREF(Py_None);
  p->view.obj = NULL;
  if (unlikely(__pyx_memoryview___cinit__(o, a, k) < 0)) goto bad;
  return o;
  bad:
  Py_DECREF(o); o = 0;
  return NULL;
}

static void __pyx_tp_dealloc_memoryview(PyObject *o) {
  struct __pyx_memoryview_obj *p = (struct __pyx_memoryview_obj *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(__Pyx_PyObject_GetSlot(o, tp_finalize, destructor)) && !__Pyx_PyObject_GC_IsFinalized(o)) {
    if (__Pyx_PyObject_GetSlot(o, tp_dealloc, destructor) == __pyx_tp_dealloc_memoryview) {
      if (PyObject_CallFinalizerFromDealloc(o)) return;
    }
  }
  #endif
  PyObject_GC_UnTrack(o);
  {
    PyObject *etype, *eval, *etb;
    PyErr_Fetch(&etype, &eval, &etb);
    __Pyx_SET_REFCNT(o, Py_REFCNT(o) + 1);
    __pyx_memoryview___dealloc__(o);
    __Pyx_SET_REFCNT(o, Py_REFCNT(o) - 1);
    PyErr_Restore(etype, eval, etb);
  }
  Py_CLEAR(p->obj);
  Py_CLEAR(p->_size);
  PyTypeObject *tp = Py_TYPE(o);
  #if CYTHON_USE_TYPE_SLOTS
  (*tp->tp_free)(o);
  #else
  {
    freefunc tp_free = (freefunc)PyType_GetSlot(tp, Py_tp_free);
    if (tp_free) tp_free(o);
  }
  #endif
  #if CYTHON_USE_TYPE_SPECS
  Py_DECREF(tp);
  #endif
}

static int __pyx_tp_traverse_memoryview(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_memoryview_obj *p = (struct __pyx_memoryview_obj *)o;
  {
    e = __Pyx_call_type_traverse(o, 1, v, a);
    if (e) return e;
  }
  if (p->obj) {
    e = (*v)(p->obj, a); if (e) return e;
  }
  if (p->_size) {
    e = (*v)(p->_size, a); if (e) return e;
  }
  if (p->view.obj) {
    e = (*v)(p->view.obj, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_memoryview(PyObject *o) {
  PyObject* tmp;
  struct __pyx_memoryview_obj *p = (struct __pyx_memoryview_obj *)o;
  tmp = ((PyObject*)p->obj);
  p->obj = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->_size);
  p->_size = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  Py_CLEAR(p->view.obj);
  return 0;
}

static PyObject *__pyx_sq_item_memoryview(PyObject *o, Py_ssize_t i) {
  PyObject *r;
  PyObject *x = PyLong_FromSsize_t(i); if(!x) return 0;
  #if CYTHON_USE_TYPE_SLOTS || (!CYTHON_USE_TYPE_SPECS && __PYX_LIMITED_VERSION_HEX < 0x030A0000)
  r = Py_TYPE(o)->tp_as_mapping->mp_subscript(o, x);
  #else
  r = ((binaryfunc)PyType_GetSlot(Py_TYPE(o), Py_mp_subscript))(o, x);
  #endif
  Py_DECREF(x);
  return r;
}

static int __pyx_mp_ass_subscript_memoryview(PyObject *o, PyObject *i, PyObject *v) {
  if (v) {
    return __pyx_memoryview___setitem__(o, i, v);
  }
  else {
    __Pyx_TypeName o_type_name;
    o_type_name = __Pyx_PyType_GetFullyQualifiedName(Py_TYPE(o));
    PyErr_Format(PyExc_NotImplementedError,
      "Subscript deletion not supported by " __Pyx_FMT_TYPENAME, o_type_name);
    __Pyx_DECREF_TypeName(o_type_name);
    return -1;
  }
}

static PyObject *__pyx_getprop___pyx_memoryview_T(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_1T_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_base(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_4base_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_shape(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_5shape_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_strides(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_7strides_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_suboffsets(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_10suboffsets_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_ndim(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_4ndim_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_itemsize(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_8itemsize_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_nbytes(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_6nbytes_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_size(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_4size_1__get__(o);
}

static PyMethodDef __pyx_methods_memoryview[] = {
  {"is_c_contig", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_memoryview_is_c_contig, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {"is_f_contig", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_memoryview_is_f_contig, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {"copy", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_memoryview_copy, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {"copy_fortran", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_memoryview_copy_fortran, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {"__reduce_cython__", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw___pyx_memoryview_1__reduce_cython__, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {"__setstate_cython__", (PyCFunction)(void(*)(void))(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw___pyx_memoryview_3__setstate_cython__, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_memoryview[] = {
  {"T", __pyx_getprop___pyx_memoryview_T, 0, 0, 0},
  {"base", __pyx_getprop___pyx_memoryview_base, 0, 0, 0},
  {"shape", __pyx_getprop___pyx_memoryview_shape, 0, 0, 0},
  {"strides", __pyx_getprop___pyx_memoryview_strides, 0, 0, 0},
  {"suboffsets", __pyx_getprop___pyx_memoryview_suboffsets, 0, 0, 0},
  {"ndim", __pyx_getprop___pyx_memoryview_ndim, 0, 0, 0},
  {"itemsize", __pyx_getprop___pyx_memoryview_itemsize, 0, 0, 0},
  {"nbytes", __pyx_getprop___pyx_memoryview_nbytes, 0, 0, 0},
  {"size", __pyx_getprop___pyx_memoryview_size, 0, 0, 0},
  {0, 0, 0, 0, 0}
};
#if CYTHON_USE_TYPE_SPECS
#if !CYTHON_COMPILING_IN_LIMITED_API

static PyBufferProcs __pyx_tp_as_buffer_memoryview = {
  __pyx_memoryview_getbuffer, /*bf_getbuffer*/
  0, /*bf_releasebuffer*/
};
#endif
static PyType_Slot __pyx_type___pyx_memoryview_slots[] = {
  {Py_tp_dealloc, (void *)__pyx_tp_dealloc_memoryview},
  {Py_tp_repr, (void *)__pyx_memoryview___repr__},
  {Py_sq_length, (void *)__pyx_memoryview___len__},
  {Py_sq_item, (void *)__pyx_sq_item_memoryview},
  {Py_mp_length, (void *)__pyx_memoryview___len__},
  {Py_mp_subscript, (void *)__pyx_memoryview___getitem__},
  {Py_mp_ass_subscript, (void *)__pyx_mp_ass_subscript_memoryview},
  {Py_tp_str, (void *)__pyx_memoryview___str__},
  #if defined(Py_bf_getbuffer)
  {Py_bf_getbuffer, (void *)__pyx_memoryview_getbuffer},
  #endif
  {Py_tp_traverse, (void *)__pyx_tp_traverse_memoryview},
  {Py_tp_clear, (void *)__pyx_tp_clear_memoryview},
  {Py_tp_methods, (void *)__pyx_methods_memoryview},
  {Py_tp_getset, (void *)__pyx_getsets_memoryview},
  {Py_tp_new, (void *)__pyx_tp_new_memoryview},
  {0, 0},
};
static PyType_Spec __pyx_type___pyx_memoryview_spec = {
  "statsmodels.tsa.statespace._filters._univariate_diffuse.memoryview",
  sizeof(struct __pyx_memoryview_obj),
  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___pyx_memoryview_slots,
};
#else

static PySequenceMethods __pyx_tp_as_sequence_memoryview = {
  __pyx_memoryview___len__, /*sq_length*/
  0, /*sq_concat*/
  0, /*sq_repeat*/
  __pyx_sq_item_memoryview, /*sq_item*/
  0, /*sq_slice*/
  0, /*sq_ass_item*/
  0, /*sq_ass_slice*/
  0, /*sq_contains*/
  0, /*sq_inplace_concat*/
  0, /*sq_inplace_repeat*/
};

static PyMappingMethods __pyx_tp_as_mapping_memoryview = {
  __pyx_memoryview___len__, /*mp_length*/
  __pyx_memoryview___getitem__, /*mp_subscript*/
  __pyx_mp_ass_subscript_memoryview, /*mp_ass_subscript*/
};

static PyBufferProcs __pyx_tp_as_buffer_memoryview = {
  __pyx_memoryview_getbuffer, /*bf_getbuffer*/
  0, /*bf_releasebuffer*/
};

static PyTypeObject __pyx_type___pyx_memoryview = {
  PyVarObject_HEAD_INIT(0, 0)
  "statsmodels.tsa.statespace._filters._univariate_diffuse.""memoryview", /*tp_name*/
  sizeof(struct __pyx_memoryview_obj), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_memoryview, /*tp_dealloc*/
  0, /*tp_vectorcall_offset*/
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  0, /*tp_as_async*/
  __pyx_memoryview___repr__, /*tp_repr*/
  0, /*tp_as_number*/
  &__pyx_tp_as_sequence_memoryview, /*tp_as_sequence*/
  &__pyx_tp_as_mapping_memoryview, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  __pyx_memoryview___str__, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  &__pyx_tp_as_buffer_memoryview, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_memoryview, /*tp_traverse*/
  __pyx_tp_clear_memoryview, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_memoryview, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_memoryview, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  #if !CYTHON_USE_TYPE_SPECS
  0, /*tp_dictoffset*/
  #endif
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_memoryview, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if CYTHON_USE_TP_FINALIZE
  0, /*tp_finalize*/
  #else
  NULL, /*tp_finalize*/
  #endif
  #if !CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800
  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 struct __pyx_vtabstruct__memoryviewslice __pyx_vtable__memoryviewslice;

static PyObject *__pyx_tp_new__memoryviewslice(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_memoryviewslice_obj *p;
  PyObject *o = __pyx_tp_new_memoryview(t, a, k);
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_memoryviewslice_obj *)o);
  p->__pyx_base.__pyx_vtab = (struct __pyx_vtabstruct_memoryview*)__pyx_vtabptr__memoryviewslice;
  p->from_object = Py_None; Py_INCREF(Py_None);
  p->from_slice.memview = NULL;
  return o;
}

static void __pyx_tp_dealloc__memoryviewslice(PyObject *o) {
  struct __pyx_memoryviewslice_obj *p = (struct __pyx_memoryviewslice_obj *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(__Pyx_PyObject_GetSlot(o, tp_finalize, destructor)) && !__Pyx_PyObject_GC_IsFinalized(o)) {
    if (__Pyx_PyObject_GetSlot(o, tp_dealloc, destructor) == __pyx_tp_dealloc__memoryviewslice) {
      if (PyObject_CallFinalizerFromDealloc(o)) return;
    }
  }
  #endif
  PyObject_GC_UnTrack(o);
  {
    PyObject *etype, *eval, *etb;
    PyErr_Fetch(&etype, &eval, &etb);
    __Pyx_SET_REFCNT(o, Py_REFCNT(o) + 1);
    __pyx_memoryviewslice___dealloc__(o);
    __Pyx_SET_REFCNT(o, Py_REFCNT(o) - 1);
    PyErr_Restore(etype, eval, etb);
  }
  Py_CLEAR(p->from_object);
  PyObject_GC_Track(o);
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/* 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

/* PyObjectCall (used by PyObjectFastCall) */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    PyObject *result;
    ternaryfunc call = Py_TYPE(func)->tp_call;
    if (unlikely(!call))
        return PyObject_Call(func, arg, kw);
    if (unlikely(Py_EnterRecursiveCall(" while calling a Python object")))
        return NULL;
    result = (*call)(func, arg, kw);
    Py_LeaveRecursiveCall();
    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
        PyErr_SetString(
            PyExc_SystemError,
            "NULL result without error in PyObject_Call");
    }
    return result;
}
#endif

/* PyObjectCallMethO (used by PyObjectFastCall) */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg) {
    PyObject *self, *result;
    PyCFunction cfunc;
    cfunc = __Pyx_CyOrPyCFunction_GET_FUNCTION(func);
    self = __Pyx_CyOrPyCFunction_GET_SELF(func);
    if (unlikely(Py_EnterRecursiveCall(" while calling a Python object")))
        return NULL;
    result = cfunc(self, arg);
    Py_LeaveRecursiveCall();
    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
        PyErr_SetString(
            PyExc_SystemError,
            "NULL result without error in PyObject_Call");
    }
    return result;
}
#endif

/* PyObjectFastCall (used by PyObjectCallOneArg) */
#if 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
}

/* 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);
}

/* PyObjectGetAttrStr (used by UnpackUnboundCMethod) */
#if CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject* obj, PyObject* attr_name) {
    PyTypeObject* tp = Py_TYPE(obj);
    if (likely(tp->tp_getattro))
        return tp->tp_getattro(obj, attr_name);
    return PyObject_GetAttr(obj, attr_name);
}
#endif

/* UnpackUnboundCMethod (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 ParseKeywordsImpl) */
#if CYTHON_AVOID_BORROWED_REFS
static int __Pyx_PyDict_NextRef(PyObject *p, PyObject **ppos, PyObject **pkey, PyObject **pvalue) {
    PyObject *next = NULL;
    if (!*ppos) {
        if (pvalue) {
            PyObject *dictview = pkey ? __Pyx_PyDict_Items(p) : __Pyx_PyDict_Values(p);
            if (unlikely(!dictview)) goto bad;
            *ppos = PyObject_GetIter(dictview);
            Py_DECREF(dictview);
        } else {
            *ppos = PyObject_GetIter(p);
        }
        if (unlikely(!*ppos)) goto bad;
    }
    next = PyIter_Next(*ppos);
    if (!next) {
        if (PyErr_Occurred()) goto bad;
        return 0;
    }
    if (pkey && pvalue) {
        *pkey = __Pyx_PySequence_ITEM(next, 0);
        if (unlikely(*pkey)) goto bad;
        *pvalue = __Pyx_PySequence_ITEM(next, 1);
        if (unlikely(*pvalue)) goto bad;
        Py_DECREF(next);
    } else if (pkey) {
        *pkey = next;
    } else {
        assert(pvalue);
        *pvalue = next;
    }
    return 1;
  bad:
    Py_XDECREF(next);
#if !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x030d0000
    PyErr_FormatUnraisable("Exception ignored in __Pyx_PyDict_NextRef");
#else
    PyErr_WriteUnraisable(__pyx_mstate_global->__pyx_n_u_Pyx_PyDict_NextRef);
#endif
    if (pkey) *pkey = NULL;
    if (pvalue) *pvalue = NULL;
    return 0;
}
#else // !CYTHON_AVOID_BORROWED_REFS
static int __Pyx_PyDict_NextRef(PyObject *p, Py_ssize_t *ppos, PyObject **pkey, PyObject **pvalue) {
    int result = PyDict_Next(p, ppos, pkey, pvalue);
    if (likely(result == 1)) {
        if (pkey) Py_INCREF(*pkey);
        if (pvalue) Py_INCREF(*pvalue);
    }
    return result;
}
#endif

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

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

/* ParseKeywordsImpl (used by ParseKeywords) */
static int __Pyx_ValidateDuplicatePosArgs(
    PyObject *kwds,
    PyObject ** const argnames[],
    PyObject ** const *first_kw_arg,
    const char* function_name)
{
    PyObject ** const *name = argnames;
    while (name != first_kw_arg) {
        PyObject *key = **name;
        int found = PyDict_Contains(kwds, key);
        if (unlikely(found)) {
            if (found == 1) __Pyx_RaiseDoubleKeywordsError(function_name, key);
            goto bad;
        }
        name++;
    }
    return 0;
bad:
    return -1;
}
#if CYTHON_USE_UNICODE_INTERNALS
static CYTHON_INLINE int __Pyx_UnicodeKeywordsEqual(PyObject *s1, PyObject *s2) {
    int kind;
    Py_ssize_t len = PyUnicode_GET_LENGTH(s1);
    if (len != PyUnicode_GET_LENGTH(s2)) return 0;
    kind = PyUnicode_KIND(s1);
    if (kind != PyUnicode_KIND(s2)) return 0;
    const void *data1 = PyUnicode_DATA(s1);
    const void *data2 = PyUnicode_DATA(s2);
    return (memcmp(data1, data2, (size_t) len * (size_t) kind) == 0);
}
#endif
static int __Pyx_MatchKeywordArg_str(
    PyObject *key,
    PyObject ** const argnames[],
    PyObject ** const *first_kw_arg,
    size_t *index_found,
    const char *function_name)
{
    PyObject ** const *name;
    #if CYTHON_USE_UNICODE_INTERNALS
    Py_hash_t key_hash = ((PyASCIIObject*)key)->hash;
    if (unlikely(key_hash == -1)) {
        key_hash = PyObject_Hash(key);
        if (unlikely(key_hash == -1))
            goto bad;
    }
    #endif
    name = first_kw_arg;
    while (*name) {
        PyObject *name_str = **name;
        #if CYTHON_USE_UNICODE_INTERNALS
        if (key_hash == ((PyASCIIObject*)name_str)->hash && __Pyx_UnicodeKeywordsEqual(name_str, key)) {
            *index_found = (size_t) (name - argnames);
            return 1;
        }
        #else
        #if CYTHON_ASSUME_SAFE_SIZE
        if (PyUnicode_GET_LENGTH(name_str) == PyUnicode_GET_LENGTH(key))
        #endif
        {
            int cmp = PyUnicode_Compare(name_str, key);
            if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
            if (cmp == 0) {
                *index_found = (size_t) (name - argnames);
                return 1;
            }
        }
        #endif
        name++;
    }
    name = argnames;
    while (name != first_kw_arg) {
        PyObject *name_str = **name;
        #if CYTHON_USE_UNICODE_INTERNALS
        if (unlikely(key_hash == ((PyASCIIObject*)name_str)->hash)) {
            if (__Pyx_UnicodeKeywordsEqual(name_str, key))
                goto arg_passed_twice;
        }
        #else
        #if CYTHON_ASSUME_SAFE_SIZE
        if (PyUnicode_GET_LENGTH(name_str) == PyUnicode_GET_LENGTH(key))
        #endif
        {
            if (unlikely(name_str == key)) goto arg_passed_twice;
            int cmp = PyUnicode_Compare(name_str, key);
            if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
            if (cmp == 0) goto arg_passed_twice;
        }
        #endif
        name++;
    }
    return 0;
arg_passed_twice:
    __Pyx_RaiseDoubleKeywordsError(function_name, key);
    goto bad;
bad:
    return -1;
}
static int __Pyx_MatchKeywordArg_nostr(
    PyObject *key,
    PyObject ** const argnames[],
    PyObject ** const *first_kw_arg,
    size_t *index_found,
    const char *function_name)
{
    PyObject ** const *name;
    if (unlikely(!PyUnicode_Check(key))) goto invalid_keyword_type;
    name = first_kw_arg;
    while (*name) {
        int cmp = PyObject_RichCompareBool(**name, key, Py_EQ);
        if (cmp == 1) {
            *index_found = (size_t) (name - argnames);
            return 1;
        }
        if (unlikely(cmp == -1)) goto bad;
        name++;
    }
    name = argnames;
    while (name != first_kw_arg) {
        int cmp = PyObject_RichCompareBool(**name, key, Py_EQ);
        if (unlikely(cmp != 0)) {
            if (cmp == 1) goto arg_passed_twice;
            else goto bad;
        }
        name++;
    }
    return 0;
arg_passed_twice:
    __Pyx_RaiseDoubleKeywordsError(function_name, key);
    goto bad;
invalid_keyword_type:
    PyErr_Format(PyExc_TypeError,
        "%.200s() keywords must be strings", function_name);
    goto bad;
bad:
    return -1;
}
static CYTHON_INLINE int __Pyx_MatchKeywordArg(
    PyObject *key,
    PyObject ** const argnames[],
    PyObject ** const *first_kw_arg,
    size_t *index_found,
    const char *function_name)
{
    return likely(PyUnicode_CheckExact(key)) ?
        __Pyx_MatchKeywordArg_str(key, argnames, first_kw_arg, index_found, function_name) :
        __Pyx_MatchKeywordArg_nostr(key, argnames, first_kw_arg, index_found, function_name);
}
static void __Pyx_RejectUnknownKeyword(
    PyObject *kwds,
    PyObject ** const argnames[],
    PyObject ** const *first_kw_arg,
    const char *function_name)
{
    #if CYTHON_AVOID_BORROWED_REFS
    PyObject *pos = NULL;
    #else
    Py_ssize_t pos = 0;
    #endif
    PyObject *key = NULL;
    __Pyx_BEGIN_CRITICAL_SECTION(kwds);
    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);
}

/* 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);
}

/* 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;
}

/* PyErrExceptionMatches (used by PyObjectGetAttrStrNoError) */
#if CYTHON_FAST_THREAD_STATE
static int __Pyx_PyErr_ExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
    Py_ssize_t i, n;
    n = PyTuple_GET_SIZE(tuple);
    for (i=0; i<n; i++) {
        if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
    }
    for (i=0; i<n; i++) {
        if (__Pyx_PyErr_GivenExceptionMatches(exc_type, PyTuple_GET_ITEM(tuple, i))) return 1;
    }
    return 0;
}
static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err) {
    int result;
    PyObject *exc_type;
#if PY_VERSION_HEX >= 0x030C00A6
    PyObject *current_exception = tstate->current_exception;
    if (unlikely(!current_exception)) return 0;
    exc_type = (PyObject*) Py_TYPE(current_exception);
    if (exc_type == err) return 1;
#else
    exc_type = tstate->curexc_type;
    if (exc_type == err) return 1;
    if (unlikely(!exc_type)) return 0;
#endif
    #if CYTHON_AVOID_BORROWED_REFS
    Py_INCREF(exc_type);
    #endif
    if (unlikely(PyTuple_Check(err))) {
        result = __Pyx_PyErr_ExceptionMatchesTuple(exc_type, err);
    } else {
        result = __Pyx_PyErr_GivenExceptionMatches(exc_type, err);
    }
    #if CYTHON_AVOID_BORROWED_REFS
    Py_DECREF(exc_type);
    #endif
    return result;
}
#endif

/* PyErrFetchRestore (used by PyObjectGetAttrStrNoError) */
#if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
#if PY_VERSION_HEX >= 0x030C00A6
    PyObject *tmp_value;
    assert(type == NULL || (value != NULL && type == (PyObject*) Py_TYPE(value)));
    if (value) {
        #if CYTHON_COMPILING_IN_CPYTHON
        if (unlikely(((PyBaseExceptionObject*) value)->traceback != tb))
        #endif
            PyException_SetTraceback(value, tb);
    }
    tmp_value = tstate->current_exception;
    tstate->current_exception = value;
    Py_XDECREF(tmp_value);
    Py_XDECREF(type);
    Py_XDECREF(tb);
#else
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    tmp_type = tstate->curexc_type;
    tmp_value = tstate->curexc_value;
    tmp_tb = tstate->curexc_traceback;
    tstate->curexc_type = type;
    tstate->curexc_value = value;
    tstate->curexc_traceback = tb;
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
#endif
}
static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
#if PY_VERSION_HEX >= 0x030C00A6
    PyObject* exc_value;
    exc_value = tstate->current_exception;
    tstate->current_exception = 0;
    *value = exc_value;
    *type = NULL;
    *tb = NULL;
    if (exc_value) {
        *type = (PyObject*) Py_TYPE(exc_value);
        Py_INCREF(*type);
        #if CYTHON_COMPILING_IN_CPYTHON
        *tb = ((PyBaseExceptionObject*) exc_value)->traceback;
        Py_XINCREF(*tb);
        #else
        *tb = PyException_GetTraceback(exc_value);
        #endif
    }
#else
    *type = tstate->curexc_type;
    *value = tstate->curexc_value;
    *tb = tstate->curexc_traceback;
    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
#endif
}
#endif

/* PyObjectGetAttrStrNoError (used by GetBuiltinName) */
#if __PYX_LIMITED_VERSION_HEX < 0x030d0000
static void __Pyx_PyObject_GetAttrStr_ClearAttributeError(void) {
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    if (likely(__Pyx_PyErr_ExceptionMatches(PyExc_AttributeError)))
        __Pyx_PyErr_Clear();
}
#endif
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStrNoError(PyObject* obj, PyObject* attr_name) {
    PyObject *result;
#if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
    (void) PyObject_GetOptionalAttr(obj, attr_name, &result);
    return result;
#else
#if CYTHON_COMPILING_IN_CPYTHON && CYTHON_USE_TYPE_SLOTS
    PyTypeObject* tp = Py_TYPE(obj);
    if (likely(tp->tp_getattro == PyObject_GenericGetAttr)) {
        return _PyObject_GenericGetAttrWithDict(obj, attr_name, NULL, 1);
    }
#endif
    result = __Pyx_PyObject_GetAttrStr(obj, attr_name);
    if (unlikely(!result)) {
        __Pyx_PyObject_GetAttrStr_ClearAttributeError();
    }
    return result;
#endif
}

/* GetBuiltinName */
static PyObject *__Pyx_GetBuiltinName(PyObject *name) {
    PyObject* result = __Pyx_PyObject_GetAttrStrNoError(__pyx_mstate_global->__pyx_b, name);
    if (unlikely(!result) && !PyErr_Occurred()) {
        PyErr_Format(PyExc_NameError,
            "name '%U' is not defined", name);
    }
    return result;
}

/* 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;
}

/* 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

/* RaiseUnexpectedTypeError */
static int
__Pyx_RaiseUnexpectedTypeError(const char *expected, PyObject *obj)
{
    __Pyx_TypeName obj_type_name = __Pyx_PyType_GetFullyQualifiedName(Py_TYPE(obj));
    PyErr_Format(PyExc_TypeError, "Expected %s, got " __Pyx_FMT_TYPENAME,
                 expected, obj_type_name);
    __Pyx_DECREF_TypeName(obj_type_name);
    return 0;
}

/* CIntToDigits (used by CIntToPyUnicode) */
static const char DIGIT_PAIRS_10[2*10*10+1] = {
    "00010203040506070809"
    "10111213141516171819"
    "20212223242526272829"
    "30313233343536373839"
    "40414243444546474849"
    "50515253545556575859"
    "60616263646566676869"
    "70717273747576777879"
    "80818283848586878889"
    "90919293949596979899"
};
static const char DIGIT_PAIRS_8[2*8*8+1] = {
    "0001020304050607"
    "1011121314151617"
    "2021222324252627"
    "3031323334353637"
    "4041424344454647"
    "5051525354555657"
    "6061626364656667"
    "7071727374757677"
};
static const char DIGITS_HEX[2*16+1] = {
    "0123456789abcdef"
    "0123456789ABCDEF"
};

/* BuildPyUnicode (used by COrdinalToPyUnicode) */
static PyObject* __Pyx_PyUnicode_BuildFromAscii(Py_ssize_t ulength, const char* chars, int clength,
                                                int prepend_sign, char padding_char) {
    PyObject *uval;
    Py_ssize_t uoffset = ulength - clength;
#if CYTHON_USE_UNICODE_INTERNALS
    Py_ssize_t i;
    void *udata;
    uval = PyUnicode_New(ulength, 127);
    if (unlikely(!uval)) return NULL;
    udata = PyUnicode_DATA(uval);
    if (uoffset > 0) {
        i = 0;
        if (prepend_sign) {
            __Pyx_PyUnicode_WRITE(PyUnicode_1BYTE_KIND, udata, 0, '-');
            i++;
        }
        for (; i < uoffset; i++) {
            __Pyx_PyUnicode_WRITE(PyUnicode_1BYTE_KIND, udata, i, padding_char);
        }
    }
    for (i=0; i < clength; i++) {
        __Pyx_PyUnicode_WRITE(PyUnicode_1BYTE_KIND, udata, uoffset+i, chars[i]);
    }
#else
    {
        PyObject *sign = NULL, *padding = NULL;
        uval = NULL;
        if (uoffset > 0) {
            prepend_sign = !!prepend_sign;
            if (uoffset > prepend_sign) {
                padding = PyUnicode_FromOrdinal(padding_char);
                if (likely(padding) && uoffset > prepend_sign + 1) {
                    PyObject *tmp = PySequence_Repeat(padding, uoffset - prepend_sign);
                    Py_DECREF(padding);
                    padding = tmp;
                }
                if (unlikely(!padding)) goto done_or_error;
            }
            if (prepend_sign) {
                sign = PyUnicode_FromOrdinal('-');
                if (unlikely(!sign)) goto done_or_error;
            }
        }
        uval = PyUnicode_DecodeASCII(chars, clength, NULL);
        if (likely(uval) && padding) {
            PyObject *tmp = PyUnicode_Concat(padding, uval);
            Py_DECREF(uval);
            uval = tmp;
        }
        if (likely(uval) && sign) {
            PyObject *tmp = PyUnicode_Concat(sign, uval);
            Py_DECREF(uval);
            uval = tmp;
        }
done_or_error:
        Py_XDECREF(padding);
        Py_XDECREF(sign);
    }
#endif
    return uval;
}

/* COrdinalToPyUnicode (used by CIntToPyUnicode) */
static CYTHON_INLINE int __Pyx_CheckUnicodeValue(int value) {
    return value <= 1114111;
}
static PyObject* __Pyx_PyUnicode_FromOrdinal_Padded(int value, Py_ssize_t ulength, char padding_char) {
    Py_ssize_t padding_length = ulength - 1;
    if (likely((padding_length <= 250) && (value < 0xD800 || value > 0xDFFF))) {
        char chars[256];
        if (value <= 255) {
            memset(chars, padding_char, (size_t) padding_length);
            chars[ulength-1] = (char) value;
            return PyUnicode_DecodeLatin1(chars, ulength, NULL);
        }
        char *cpos = chars + sizeof(chars);
        if (value < 0x800) {
            *--cpos = (char) (0x80 | (value & 0x3f));
            value >>= 6;
            *--cpos = (char) (0xc0 | (value & 0x1f));
        } else if (value < 0x10000) {
            *--cpos = (char) (0x80 | (value & 0x3f));
            value >>= 6;
            *--cpos = (char) (0x80 | (value & 0x3f));
            value >>= 6;
            *--cpos = (char) (0xe0 | (value & 0x0f));
        } else {
            *--cpos = (char) (0x80 | (value & 0x3f));
            value >>= 6;
            *--cpos = (char) (0x80 | (value & 0x3f));
            value >>= 6;
            *--cpos = (char) (0x80 | (value & 0x3f));
            value >>= 6;
            *--cpos = (char) (0xf0 | (value & 0x07));
        }
        cpos -= padding_length;
        memset(cpos, padding_char, (size_t) padding_length);
        return PyUnicode_DecodeUTF8(cpos, chars + sizeof(chars) - cpos, NULL);
    }
    if (value <= 127 && CYTHON_USE_UNICODE_INTERNALS) {
        const char chars[1] = {(char) value};
        return __Pyx_PyUnicode_BuildFromAscii(ulength, chars, 1, 0, padding_char);
    }
    {
        PyObject *uchar, *padding_uchar, *padding, *result;
        padding_uchar = PyUnicode_FromOrdinal(padding_char);
        if (unlikely(!padding_uchar)) return NULL;
        padding = PySequence_Repeat(padding_uchar, padding_length);
        Py_DECREF(padding_uchar);
        if (unlikely(!padding)) return NULL;
        uchar = PyUnicode_FromOrdinal(value);
        if (unlikely(!uchar)) {
            Py_DECREF(padding);
            return NULL;
        }
        result = PyUnicode_Concat(padding, uchar);
        Py_DECREF(padding);
        Py_DECREF(uchar);
        return result;
    }
}

/* CIntToPyUnicode */
static CYTHON_INLINE PyObject* __Pyx_uchar___Pyx_PyUnicode_From_int(int value, Py_ssize_t width, char padding_char) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const int neg_one = (int) -1, const_zero = (int) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (unlikely(!(is_unsigned || value == 0 || value > 0) ||
                    !(sizeof(value) <= 2 || value & ~ (int) 0x01fffff || __Pyx_CheckUnicodeValue((int) value)))) {
        PyErr_SetString(PyExc_OverflowError, "%c arg not in range(0x110000)");
        return NULL;
    }
    if (width <= 1) {
        return PyUnicode_FromOrdinal((int) value);
    }
    return __Pyx_PyUnicode_FromOrdinal_Padded((int) value, width, padding_char);
}
static CYTHON_INLINE PyObject* __Pyx____Pyx_PyUnicode_From_int(int value, Py_ssize_t width, char padding_char, char format_char) {
    char digits[sizeof(int)*3+2];
    char *dpos, *end = digits + sizeof(int)*3+2;
    const char *hex_digits = DIGITS_HEX;
    Py_ssize_t length, ulength;
    int prepend_sign, last_one_off;
    int remaining;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const int neg_one = (int) -1, const_zero = (int) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (format_char == 'X') {
        hex_digits += 16;
        format_char = 'x';
    }
    remaining = value;
    last_one_off = 0;
    dpos = end;
    do {
        int digit_pos;
        switch (format_char) {
        case 'o':
            digit_pos = abs((int)(remaining % (8*8)));
            remaining = (int) (remaining / (8*8));
            dpos -= 2;
            memcpy(dpos, DIGIT_PAIRS_8 + digit_pos * 2, 2);
            last_one_off = (digit_pos < 8);
            break;
        case 'd':
            digit_pos = abs((int)(remaining % (10*10)));
            remaining = (int) (remaining / (10*10));
            dpos -= 2;
            memcpy(dpos, DIGIT_PAIRS_10 + digit_pos * 2, 2);
            last_one_off = (digit_pos < 10);
            break;
        case 'x':
            *(--dpos) = hex_digits[abs((int)(remaining % 16))];
            remaining = (int) (remaining / 16);
            break;
        default:
            assert(0);
            break;
        }
    } while (unlikely(remaining != 0));
    assert(!last_one_off || *dpos == '0');
    dpos += last_one_off;
    length = end - dpos;
    ulength = length;
    prepend_sign = 0;
    if (!is_unsigned && value <= neg_one) {
        if (padding_char == ' ' || width <= length + 1) {
            *(--dpos) = '-';
            ++length;
        } else {
            prepend_sign = 1;
        }
        ++ulength;
    }
    if (width > ulength) {
        ulength = width;
    }
    if (ulength == 1) {
        return PyUnicode_FromOrdinal(*dpos);
    }
    return __Pyx_PyUnicode_BuildFromAscii(ulength, dpos, (int) length, prepend_sign, padding_char);
}

/* CIntToPyUnicode */
static CYTHON_INLINE PyObject* __Pyx_uchar___Pyx_PyUnicode_From_Py_ssize_t(Py_ssize_t value, Py_ssize_t width, char padding_char) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const Py_ssize_t neg_one = (Py_ssize_t) -1, const_zero = (Py_ssize_t) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (unlikely(!(is_unsigned || value == 0 || value > 0) ||
                    !(sizeof(value) <= 2 || value & ~ (Py_ssize_t) 0x01fffff || __Pyx_CheckUnicodeValue((int) value)))) {
        PyErr_SetString(PyExc_OverflowError, "%c arg not in range(0x110000)");
        return NULL;
    }
    if (width <= 1) {
        return PyUnicode_FromOrdinal((int) value);
    }
    return __Pyx_PyUnicode_FromOrdinal_Padded((int) value, width, padding_char);
}
static CYTHON_INLINE PyObject* __Pyx____Pyx_PyUnicode_From_Py_ssize_t(Py_ssize_t value, Py_ssize_t width, char padding_char, char format_char) {
    char digits[sizeof(Py_ssize_t)*3+2];
    char *dpos, *end = digits + sizeof(Py_ssize_t)*3+2;
    const char *hex_digits = DIGITS_HEX;
    Py_ssize_t length, ulength;
    int prepend_sign, last_one_off;
    Py_ssize_t remaining;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const Py_ssize_t neg_one = (Py_ssize_t) -1, const_zero = (Py_ssize_t) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (format_char == 'X') {
        hex_digits += 16;
        format_char = 'x';
    }
    remaining = value;
    last_one_off = 0;
    dpos = end;
    do {
        int digit_pos;
        switch (format_char) {
        case 'o':
            digit_pos = abs((int)(remaining % (8*8)));
            remaining = (Py_ssize_t) (remaining / (8*8));
            dpos -= 2;
            memcpy(dpos, DIGIT_PAIRS_8 + digit_pos * 2, 2);
            last_one_off = (digit_pos < 8);
            break;
        case 'd':
            digit_pos = abs((int)(remaining % (10*10)));
            remaining = (Py_ssize_t) (remaining / (10*10));
            dpos -= 2;
            memcpy(dpos, DIGIT_PAIRS_10 + digit_pos * 2, 2);
            last_one_off = (digit_pos < 10);
            break;
        case 'x':
            *(--dpos) = hex_digits[abs((int)(remaining % 16))];
            remaining = (Py_ssize_t) (remaining / 16);
            break;
        default:
            assert(0);
            break;
        }
    } while (unlikely(remaining != 0));
    assert(!last_one_off || *dpos == '0');
    dpos += last_one_off;
    length = end - dpos;
    ulength = length;
    prepend_sign = 0;
    if (!is_unsigned && value <= neg_one) {
        if (padding_char == ' ' || width <= length + 1) {
            *(--dpos) = '-';
            ++length;
        } else {
            prepend_sign = 1;
        }
        ++ulength;
    }
    if (width > ulength) {
        ulength = width;
    }
    if (ulength == 1) {
        return PyUnicode_FromOrdinal(*dpos);
    }
    return __Pyx_PyUnicode_BuildFromAscii(ulength, dpos, (int) length, prepend_sign, padding_char);
}

/* JoinPyUnicode */
static PyObject* __Pyx_PyUnicode_Join(PyObject** values, Py_ssize_t value_count, Py_ssize_t result_ulength,
                                      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
}

/* GetAttr */
static CYTHON_INLINE PyObject *__Pyx_GetAttr(PyObject *o, PyObject *n) {
#if CYTHON_USE_TYPE_SLOTS
    if (likely(PyUnicode_Check(n)))
        return __Pyx_PyObject_GetAttrStr(o, n);
#endif
    return PyObject_GetAttr(o, n);
}

/* 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

/* 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);
    }
}

/* DivInt[Py_ssize_t] */
static CYTHON_INLINE Py_ssize_t __Pyx_div_Py_ssize_t(Py_ssize_t a, Py_ssize_t b, int b_is_constant) {
    Py_ssize_t q = a / b;
    Py_ssize_t r = a - q*b;
    Py_ssize_t adapt_python = (b_is_constant ?
        ((r != 0) & ((r < 0) ^ (b < 0))) :
        ((r != 0) & ((r ^ b) < 0))
    );
    return q - adapt_python;
}

/* GetAttr3 */
#if __PYX_LIMITED_VERSION_HEX < 0x030d0000
static PyObject *__Pyx_GetAttr3Default(PyObject *d) {
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    if (unlikely(!__Pyx_PyErr_ExceptionMatches(PyExc_AttributeError)))
        return NULL;
    __Pyx_PyErr_Clear();
    Py_INCREF(d);
    return d;
}
#endif
static CYTHON_INLINE PyObject *__Pyx_GetAttr3(PyObject *o, PyObject *n, PyObject *d) {
    PyObject *r;
#if __PYX_LIMITED_VERSION_HEX >= 0x030d0000
    int res = PyObject_GetOptionalAttr(o, n, &r);
    return (res != 0) ? r : __Pyx_NewRef(d);
#else
  #if CYTHON_USE_TYPE_SLOTS
    if (likely(PyUnicode_Check(n))) {
        r = __Pyx_PyObject_GetAttrStrNoError(o, n);
        if (unlikely(!r) && likely(!PyErr_Occurred())) {
            r = __Pyx_NewRef(d);
        }
        return r;
    }
  #endif
    r = PyObject_GetAttr(o, n);
    return (likely(r)) ? r : __Pyx_GetAttr3Default(d);
#endif
}

/* PyDictVersioning (used by GetModuleGlobalName) */
#if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj) {
    PyObject *dict = Py_TYPE(obj)->tp_dict;
    return likely(dict) ? __PYX_GET_DICT_VERSION(dict) : 0;
}
static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj) {
    PyObject **dictptr = NULL;
    Py_ssize_t offset = Py_TYPE(obj)->tp_dictoffset;
    if (offset) {
#if CYTHON_COMPILING_IN_CPYTHON
        dictptr = (likely(offset > 0)) ? (PyObject **) ((char *)obj + offset) : _PyObject_GetDictPtr(obj);
#else
        dictptr = _PyObject_GetDictPtr(obj);
#endif
    }
    return (dictptr && *dictptr) ? __PYX_GET_DICT_VERSION(*dictptr) : 0;
}
static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version) {
    PyObject *dict = Py_TYPE(obj)->tp_dict;
    if (unlikely(!dict) || unlikely(tp_dict_version != __PYX_GET_DICT_VERSION(dict)))
        return 0;
    return obj_dict_version == __Pyx_get_object_dict_version(obj);
}
#endif

/* GetModuleGlobalName */
#if CYTHON_USE_DICT_VERSIONS
static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value)
#else
static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name)
#endif
{
    PyObject *result;
#if CYTHON_COMPILING_IN_LIMITED_API
    if (unlikely(!__pyx_m)) {
        if (!PyErr_Occurred())
            PyErr_SetNone(PyExc_NameError);
        return NULL;
    }
    result = PyObject_GetAttr(__pyx_m, name);
    if (likely(result)) {
        return result;
    }
    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);
}

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

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

/* RaiseNoneIterError */
static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void) {
    PyErr_SetString(PyExc_TypeError, "'NoneType' object is not iterable");
}

/* 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;
}

/* GetTopmostException (used by SaveResetException) */
#if CYTHON_USE_EXC_INFO_STACK && CYTHON_FAST_THREAD_STATE
static _PyErr_StackItem *
__Pyx_PyErr_GetTopmostException(PyThreadState *tstate)
{
    _PyErr_StackItem *exc_info = tstate->exc_info;
    while ((exc_info->exc_value == NULL || exc_info->exc_value == Py_None) &&
           exc_info->previous_item != NULL)
    {
        exc_info = exc_info->previous_item;
    }
    return exc_info;
}
#endif

/* SaveResetException */
#if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
  #if CYTHON_USE_EXC_INFO_STACK && PY_VERSION_HEX >= 0x030B00a4
    _PyErr_StackItem *exc_info = __Pyx_PyErr_GetTopmostException(tstate);
    PyObject *exc_value = exc_info->exc_value;
    if (exc_value == NULL || exc_value == Py_None) {
        *value = NULL;
        *type = NULL;
        *tb = NULL;
    } else {
        *value = exc_value;
        Py_INCREF(*value);
        *type = (PyObject*) Py_TYPE(exc_value);
        Py_INCREF(*type);
        *tb = PyException_GetTraceback(exc_value);
    }
  #elif CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = __Pyx_PyErr_GetTopmostException(tstate);
    *type = exc_info->exc_type;
    *value = exc_info->exc_value;
    *tb = exc_info->exc_traceback;
    Py_XINCREF(*type);
    Py_XINCREF(*value);
    Py_XINCREF(*tb);
  #else
    *type = tstate->exc_type;
    *value = tstate->exc_value;
    *tb = tstate->exc_traceback;
    Py_XINCREF(*type);
    Py_XINCREF(*value);
    Py_XINCREF(*tb);
  #endif
}
static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
  #if CYTHON_USE_EXC_INFO_STACK && PY_VERSION_HEX >= 0x030B00a4
    _PyErr_StackItem *exc_info = tstate->exc_info;
    PyObject *tmp_value = exc_info->exc_value;
    exc_info->exc_value = value;
    Py_XDECREF(tmp_value);
    Py_XDECREF(type);
    Py_XDECREF(tb);
  #else
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    #if CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = tstate->exc_info;
    tmp_type = exc_info->exc_type;
    tmp_value = exc_info->exc_value;
    tmp_tb = exc_info->exc_traceback;
    exc_info->exc_type = type;
    exc_info->exc_value = value;
    exc_info->exc_traceback = tb;
    #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = type;
    tstate->exc_value = value;
    tstate->exc_traceback = tb;
    #endif
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
  #endif
}
#endif

/* GetException */
#if CYTHON_FAST_THREAD_STATE
static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb)
#else
static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb)
#endif
{
    PyObject *local_type = NULL, *local_value, *local_tb = NULL;
#if CYTHON_FAST_THREAD_STATE
    PyObject *tmp_type, *tmp_value, *tmp_tb;
  #if PY_VERSION_HEX >= 0x030C0000
    local_value = tstate->current_exception;
    tstate->current_exception = 0;
  #else
    local_type = tstate->curexc_type;
    local_value = tstate->curexc_value;
    local_tb = tstate->curexc_traceback;
    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
  #endif
#elif __PYX_LIMITED_VERSION_HEX > 0x030C0000
    local_value = PyErr_GetRaisedException();
#else
    PyErr_Fetch(&local_type, &local_value, &local_tb);
#endif
#if __PYX_LIMITED_VERSION_HEX > 0x030C0000
    if (likely(local_value)) {
        local_type = (PyObject*) Py_TYPE(local_value);
        Py_INCREF(local_type);
        local_tb = PyException_GetTraceback(local_value);
    }
#else
    PyErr_NormalizeException(&local_type, &local_value, &local_tb);
#if CYTHON_FAST_THREAD_STATE
    if (unlikely(tstate->curexc_type))
#else
    if (unlikely(PyErr_Occurred()))
#endif
        goto bad;
    if (local_tb) {
        if (unlikely(PyException_SetTraceback(local_value, local_tb) < 0))
            goto bad;
    }
#endif // __PYX_LIMITED_VERSION_HEX > 0x030C0000
    Py_XINCREF(local_tb);
    Py_XINCREF(local_type);
    Py_XINCREF(local_value);
    *type = local_type;
    *value = local_value;
    *tb = local_tb;
#if CYTHON_FAST_THREAD_STATE
    #if CYTHON_USE_EXC_INFO_STACK
    {
        _PyErr_StackItem *exc_info = tstate->exc_info;
      #if PY_VERSION_HEX >= 0x030B00a4
        tmp_value = exc_info->exc_value;
        exc_info->exc_value = local_value;
        tmp_type = NULL;
        tmp_tb = NULL;
        Py_XDECREF(local_type);
        Py_XDECREF(local_tb);
      #else
        tmp_type = exc_info->exc_type;
        tmp_value = exc_info->exc_value;
        tmp_tb = exc_info->exc_traceback;
        exc_info->exc_type = local_type;
        exc_info->exc_value = local_value;
        exc_info->exc_traceback = local_tb;
      #endif
    }
    #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = local_type;
    tstate->exc_value = local_value;
    tstate->exc_traceback = local_tb;
    #endif
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
#elif __PYX_LIMITED_VERSION_HEX >= 0x030b0000
    PyErr_SetHandledException(local_value);
    Py_XDECREF(local_value);
    Py_XDECREF(local_type);
    Py_XDECREF(local_tb);
#else
    PyErr_SetExcInfo(local_type, local_value, local_tb);
#endif
    return 0;
#if __PYX_LIMITED_VERSION_HEX <= 0x030C0000
bad:
    *type = 0;
    *value = 0;
    *tb = 0;
    Py_XDECREF(local_type);
    Py_XDECREF(local_value);
    Py_XDECREF(local_tb);
    return -1;
#endif
}

/* SwapException */
#if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx__ExceptionSwap(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
  #if CYTHON_USE_EXC_INFO_STACK && PY_VERSION_HEX >= 0x030B00a4
    _PyErr_StackItem *exc_info = tstate->exc_info;
    tmp_value = exc_info->exc_value;
    exc_info->exc_value = *value;
    if (tmp_value == NULL || tmp_value == Py_None) {
        Py_XDECREF(tmp_value);
        tmp_value = NULL;
        tmp_type = NULL;
        tmp_tb = NULL;
    } else {
        tmp_type = (PyObject*) Py_TYPE(tmp_value);
        Py_INCREF(tmp_type);
        #if CYTHON_COMPILING_IN_CPYTHON
        tmp_tb = ((PyBaseExceptionObject*) tmp_value)->traceback;
        Py_XINCREF(tmp_tb);
        #else
        tmp_tb = PyException_GetTraceback(tmp_value);
        #endif
    }
  #elif CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = tstate->exc_info;
    tmp_type = exc_info->exc_type;
    tmp_value = exc_info->exc_value;
    tmp_tb = exc_info->exc_traceback;
    exc_info->exc_type = *type;
    exc_info->exc_value = *value;
    exc_info->exc_traceback = *tb;
  #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = *type;
    tstate->exc_value = *value;
    tstate->exc_traceback = *tb;
  #endif
    *type = tmp_type;
    *value = tmp_value;
    *tb = tmp_tb;
}
#else
static CYTHON_INLINE void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    PyErr_GetExcInfo(&tmp_type, &tmp_value, &tmp_tb);
    PyErr_SetExcInfo(*type, *value, *tb);
    *type = tmp_type;
    *value = tmp_value;
    *tb = tmp_tb;
}
#endif

/* HasAttr (used by ImportImpl) */
#if __PYX_LIMITED_VERSION_HEX < 0x030d0000
static CYTHON_INLINE int __Pyx_HasAttr(PyObject *o, PyObject *n) {
    PyObject *r;
    if (unlikely(!PyUnicode_Check(n))) {
        PyErr_SetString(PyExc_TypeError,
                        "hasattr(): attribute name must be string");
        return -1;
    }
    r = __Pyx_PyObject_GetAttrStrNoError(o, n);
    if (!r) {
        return (unlikely(PyErr_Occurred())) ? -1 : 0;
    } else {
        Py_DECREF(r);
        return 1;
    }
}
#endif

/* 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);
}

/* 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

/* PySequenceMultiply */
#if CYTHON_USE_TYPE_SLOTS
static PyObject* __Pyx_PySequence_Multiply_Generic(PyObject *seq, Py_ssize_t mul) {
    PyObject *result, *pymul = PyLong_FromSsize_t(mul);
    if (unlikely(!pymul))
        return NULL;
    result = PyNumber_Multiply(seq, pymul);
    Py_DECREF(pymul);
    return result;
}
static CYTHON_INLINE PyObject* __Pyx_PySequence_Multiply(PyObject *seq, Py_ssize_t mul) {
    PyTypeObject *type = Py_TYPE(seq);
    if (likely(type->tp_as_sequence && type->tp_as_sequence->sq_repeat)) {
        return type->tp_as_sequence->sq_repeat(seq, mul);
    } else {
        return __Pyx_PySequence_Multiply_Generic(seq, mul);
    }
}
#endif

/* PyObjectFormatAndDecref */
static CYTHON_INLINE PyObject* __Pyx_PyObject_FormatSimpleAndDecref(PyObject* s, PyObject* f) {
    if (unlikely(!s)) return NULL;
    if (likely(PyUnicode_CheckExact(s))) return s;
    return __Pyx_PyObject_FormatAndDecref(s, f);
}
static CYTHON_INLINE PyObject* __Pyx_PyObject_FormatAndDecref(PyObject* s, PyObject* f) {
    PyObject *result;
    if (unlikely(!s)) return NULL;
    result = PyObject_Format(s, f);
    Py_DECREF(s);
    return result;
}

/* PyObjectFormat */
#if CYTHON_USE_UNICODE_WRITER
static PyObject* __Pyx_PyObject_Format(PyObject* obj, PyObject* format_spec) {
    int ret;
    _PyUnicodeWriter writer;
    if (likely(PyFloat_CheckExact(obj))) {
        _PyUnicodeWriter_Init(&writer);
        ret = _PyFloat_FormatAdvancedWriter(
            &writer,
            obj,
            format_spec, 0, PyUnicode_GET_LENGTH(format_spec));
    } else if (likely(PyLong_CheckExact(obj))) {
        _PyUnicodeWriter_Init(&writer);
        ret = _PyLong_FormatAdvancedWriter(
            &writer,
            obj,
            format_spec, 0, PyUnicode_GET_LENGTH(format_spec));
    } else {
        return PyObject_Format(obj, format_spec);
    }
    if (unlikely(ret == -1)) {
        _PyUnicodeWriter_Dealloc(&writer);
        return NULL;
    }
    return _PyUnicodeWriter_Finish(&writer);
}
#endif

/* SetItemInt */
static int __Pyx_SetItemInt_Generic(PyObject *o, PyObject *j, PyObject *v) {
    int r;
    if (unlikely(!j)) return -1;
    r = PyObject_SetItem(o, j, v);
    Py_DECREF(j);
    return r;
}
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);
}

/* RaiseUnboundLocalError */
static void __Pyx_RaiseUnboundLocalError(const char *varname) {
    PyErr_Format(PyExc_UnboundLocalError, "local variable '%s' referenced before assignment", varname);
}

/* DivInt[long] */
static CYTHON_INLINE long __Pyx_div_long(long a, long b, int b_is_constant) {
    long q = a / b;
    long r = a - q*b;
    long adapt_python = (b_is_constant ?
        ((r != 0) & ((r < 0) ^ (b < 0))) :
        ((r != 0) & ((r ^ b) < 0))
    );
    return q - adapt_python;
}

/* 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);
    }
}

/* CallTypeTraverse */
#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

/* FunctionExport */
static int __Pyx_ExportFunction(PyObject *api_dict, const char *name, void (*f)(void), const char *sig) {
    PyObject *cobj;
    union {
        void (*fp)(void);
        void *p;
    } tmp;
    tmp.fp = f;
    cobj = PyCapsule_New(tmp.p, sig, 0);
    if (!cobj)
        goto bad;
    if (PyDict_SetItemString(api_dict, name, cobj) < 0)
        goto bad;
    Py_DECREF(cobj);
    return 0;
bad:
    Py_XDECREF(cobj);
    return -1;
}

/* GetApiDict */
static PyObject *__Pyx_ApiExport_GetApiDict(void) {
    PyObject *d;
    if (__Pyx_PyDict_GetItemRef(__pyx_mstate_global->__pyx_d, __pyx_mstate_global->__pyx_n_u_pyx_capi, &d) == -1)
        return NULL;
    if (!d) {
        d = PyDict_New();
        if (!d)
            goto bad;
        if (PyObject_SetAttr(__pyx_m, __pyx_mstate_global->__pyx_n_u_pyx_capi, d) < 0)
            goto bad;
    }
    return d;
bad:
    Py_XDECREF(d);
    return NULL;
}

/* 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 */
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;
}

/* 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
}

/* SetVTable */
static int __Pyx_SetVtable(PyTypeObject *type, void *vtable) {
    PyObject *ob = PyCapsule_New(vtable, 0, 0);
    if (unlikely(!ob))
        goto bad;
#if CYTHON_COMPILING_IN_LIMITED_API
    if (unlikely(PyObject_SetAttr((PyObject *) type, __pyx_mstate_global->__pyx_n_u_pyx_vtable, ob) < 0))
#else
    if (unlikely(PyDict_SetItem(type->tp_dict, __pyx_mstate_global->__pyx_n_u_pyx_vtable, ob) < 0))
#endif
        goto bad;
    Py_DECREF(ob);
    return 0;
bad:
    Py_XDECREF(ob);
    return -1;
}

/* GetVTable (used by MergeVTables) */
static void* __Pyx_GetVtable(PyTypeObject *type) {
    void* ptr;
#if CYTHON_COMPILING_IN_LIMITED_API
    PyObject *ob = PyObject_GetAttr((PyObject *)type, __pyx_mstate_global->__pyx_n_u_pyx_vtable);
#else
    PyObject *ob = PyObject_GetItem(type->tp_dict, __pyx_mstate_global->__pyx_n_u_pyx_vtable);
#endif
    if (!ob)
        goto bad;
    ptr = PyCapsule_GetPointer(ob, 0);
    if (!ptr && !PyErr_Occurred())
        PyErr_SetString(PyExc_RuntimeError, "invalid vtable found for imported type");
    Py_DECREF(ob);
    return ptr;
bad:
    Py_XDECREF(ob);
    return NULL;
}

/* MergeVTables */
static int __Pyx_MergeVtables(PyTypeObject *type) {
    int i=0;
    Py_ssize_t size;
    void** base_vtables;
    __Pyx_TypeName tp_base_name = NULL;
    __Pyx_TypeName base_name = NULL;
    void* unknown = (void*)-1;
    PyObject* bases = __Pyx_PyType_GetSlot(type, tp_bases, PyObject*);
    int base_depth = 0;
    {
        PyTypeObject* base = __Pyx_PyType_GetSlot(type, tp_base, PyTypeObject*);
        while (base) {
            base_depth += 1;
            base = __Pyx_PyType_GetSlot(base, tp_base, PyTypeObject*);
        }
    }
    base_vtables = (void**) PyMem_Malloc(sizeof(void*) * (size_t)(base_depth + 1));
    base_vtables[0] = unknown;
#if CYTHON_COMPILING_IN_LIMITED_API
    size = PyTuple_Size(bases);
    if (size < 0) goto other_failure;
#else
    size = PyTuple_GET_SIZE(bases);
#endif
    for (i = 1; i < size; i++) {
        PyObject *basei;
        void* base_vtable;
#if CYTHON_AVOID_BORROWED_REFS
        basei = PySequence_GetItem(bases, i);
        if (unlikely(!basei)) goto other_failure;
#elif !CYTHON_ASSUME_SAFE_MACROS
        basei = PyTuple_GetItem(bases, i);
        if (unlikely(!basei)) goto other_failure;
#else
        basei = PyTuple_GET_ITEM(bases, i);
#endif
        base_vtable = __Pyx_GetVtable((PyTypeObject*)basei);
#if CYTHON_AVOID_BORROWED_REFS
        Py_DECREF(basei);
#endif
        if (base_vtable != NULL) {
            int j;
            PyTypeObject* base = __Pyx_PyType_GetSlot(type, tp_base, PyTypeObject*);
            for (j = 0; j < base_depth; j++) {
                if (base_vtables[j] == unknown) {
                    base_vtables[j] = __Pyx_GetVtable(base);
                    base_vtables[j + 1] = unknown;
                }
                if (base_vtables[j] == base_vtable) {
                    break;
                } else if (base_vtables[j] == NULL) {
                    goto bad;
                }
                base = __Pyx_PyType_GetSlot(base, tp_base, PyTypeObject*);
            }
        }
    }
    PyErr_Clear();
    PyMem_Free(base_vtables);
    return 0;
bad:
    {
        PyTypeObject* basei = NULL;
        PyTypeObject* tp_base = __Pyx_PyType_GetSlot(type, tp_base, PyTypeObject*);
        tp_base_name = __Pyx_PyType_GetFullyQualifiedName(tp_base);
#if CYTHON_AVOID_BORROWED_REFS
        basei = (PyTypeObject*)PySequence_GetItem(bases, i);
        if (unlikely(!basei)) goto really_bad;
#elif !CYTHON_ASSUME_SAFE_MACROS
        basei = (PyTypeObject*)PyTuple_GetItem(bases, i);
        if (unlikely(!basei)) goto really_bad;
#else
        basei = (PyTypeObject*)PyTuple_GET_ITEM(bases, i);
#endif
        base_name = __Pyx_PyType_GetFullyQualifiedName(basei);
#if CYTHON_AVOID_BORROWED_REFS
        Py_DECREF(basei);
#endif
    }
    PyErr_Format(PyExc_TypeError,
        "multiple bases have vtable conflict: '" __Pyx_FMT_TYPENAME "' and '" __Pyx_FMT_TYPENAME "'", tp_base_name, base_name);
#if CYTHON_AVOID_BORROWED_REFS || !CYTHON_ASSUME_SAFE_MACROS
really_bad: // bad has failed!
#endif
    __Pyx_DECREF_TypeName(tp_base_name);
    __Pyx_DECREF_TypeName(base_name);
#if CYTHON_COMPILING_IN_LIMITED_API || CYTHON_AVOID_BORROWED_REFS || !CYTHON_ASSUME_SAFE_MACROS
other_failure:
#endif
    PyMem_Free(base_vtables);
    return -1;
}

/* 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;
}

/* TypeImport */
#ifndef __PYX_HAVE_RT_ImportType_3_2_2
#define __PYX_HAVE_RT_ImportType_3_2_2
static PyTypeObject *__Pyx_ImportType_3_2_2(PyObject *module, const char *module_name, const char *class_name,
    size_t size, size_t alignment, enum __Pyx_ImportType_CheckSize_3_2_2 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_2 &&
            ((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_2 && (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

/* PxdImportShared (used by VoidPtrImport) */
#ifndef __PYX_HAVE_RT_ImportFromPxd_3_2_2
#define __PYX_HAVE_RT_ImportFromPxd_3_2_2
static int __Pyx_ImportFromPxd_3_2_2(PyObject *module, const char *name, void **p, const char *sig, const char *what) {
    PyObject *d = 0;
    PyObject *cobj = 0;
    d = PyObject_GetAttrString(module, "__pyx_capi__");
    if (!d)
        goto bad;
#if (defined(Py_LIMITED_API) && Py_LIMITED_API >= 0x030d0000) || (!defined(Py_LIMITED_API) && PY_VERSION_HEX >= 0x030d0000)
    PyDict_GetItemStringRef(d, name, &cobj);
#else
    cobj = PyDict_GetItemString(d, name);
    Py_XINCREF(cobj);
#endif
    if (!cobj) {
        PyErr_Format(PyExc_ImportError,
            "%.200s does not export expected C %.8s %.200s",
                PyModule_GetName(module), what, name);
        goto bad;
    }
    if (!PyCapsule_IsValid(cobj, sig)) {
        PyErr_Format(PyExc_TypeError,
            "C %.8s %.200s.%.200s has wrong signature (expected %.500s, got %.500s)",
             what, PyModule_GetName(module), name, sig, PyCapsule_GetName(cobj));
        goto bad;
    }
    *p = PyCapsule_GetPointer(cobj, sig);
    if (!(*p))
        goto bad;
    Py_DECREF(d);
    Py_DECREF(cobj);
    return 0;
bad:
    Py_XDECREF(d);
    Py_XDECREF(cobj);
    return -1;
}
#endif

/* VoidPtrImport */
#ifndef __PYX_HAVE_RT_ImportVoidPtr_3_2_2
#define __PYX_HAVE_RT_ImportVoidPtr_3_2_2
static int __Pyx_ImportVoidPtr_3_2_2(PyObject *module, const char *name, void **p, const char *sig) {
    return __Pyx_ImportFromPxd_3_2_2(module, name, p, sig, "variable");
}
#endif

/* FunctionImport */
#ifndef __PYX_HAVE_RT_ImportFunction_3_2_2
#define __PYX_HAVE_RT_ImportFunction_3_2_2
static int __Pyx_ImportFunction_3_2_2(PyObject *module, const char *funcname, void (**f)(void), const char *sig) {
    union {
        void (*fp)(void);
        void *p;
    } tmp;
    int result = __Pyx_ImportFromPxd_3_2_2(module, funcname, &tmp.p, sig, "function");
    if (result == 0) {
        *f = tmp.fp;
    }
    return result;
}
#endif

/* dict_setdefault (used by CLineInTraceback) */
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;
}

/* 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

/* FromPy */
static __pyx_t_float_complex __Pyx_PyComplex_As___pyx_t_float_complex(PyObject* o) {
#if CYTHON_COMPILING_IN_LIMITED_API
    double real=-1.0, imag=-1.0;
    real = PyComplex_RealAsDouble(o);
    if (unlikely(real == -1.0 && PyErr_Occurred())) goto end;
    imag = PyComplex_ImagAsDouble(o);
  end:
    return __pyx_t_float_complex_from_parts(
        (float)real, (float)imag
    );
#else
    Py_complex cval;
#if !CYTHON_COMPILING_IN_PYPY && !CYTHON_COMPILING_IN_GRAAL
    if (PyComplex_CheckExact(o))
        cval = ((PyComplexObject *)o)->cval;
    else
#endif
        cval = PyComplex_AsCComplex(o);
    return __pyx_t_float_complex_from_parts(
               (float)cval.real,
               (float)cval.imag);
#endif
}

/* FromPy */
static __pyx_t_double_complex __Pyx_PyComplex_As___pyx_t_double_complex(PyObject* o) {
#if CYTHON_COMPILING_IN_LIMITED_API
    double real=-1.0, imag=-1.0;
    real = PyComplex_RealAsDouble(o);
    if (unlikely(real == -1.0 && PyErr_Occurred())) goto end;
    imag = PyComplex_ImagAsDouble(o);
  end:
    return __pyx_t_double_complex_from_parts(
        (double)real, (double)imag
    );
#else
    Py_complex cval;
#if !CYTHON_COMPILING_IN_PYPY && !CYTHON_COMPILING_IN_GRAAL
    if (PyComplex_CheckExact(o))
        cval = ((PyComplexObject *)o)->cval;
    else
#endif
        cval = PyComplex_AsCComplex(o);
    return __pyx_t_double_complex_from_parts(
               (double)cval.real,
               (double)cval.imag);
#endif
}

/* Declarations */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
  #ifdef __cplusplus
    static CYTHON_INLINE __pyx_t_long_double_complex __pyx_t_long_double_complex_from_parts(long double x, long double y) {
      return ::std::complex< long double >(x, y);
    }
  #else
    static CYTHON_INLINE __pyx_t_long_double_complex __pyx_t_long_double_complex_from_parts(long double x, long double y) {
      return x + y*(__pyx_t_long_double_complex)_Complex_I;
    }
  #endif
#else
    static CYTHON_INLINE __pyx_t_long_double_complex __pyx_t_long_double_complex_from_parts(long double x, long double y) {
      __pyx_t_long_double_complex z;
      z.real = x;
      z.imag = y;
      return z;
    }
#endif

/* Arithmetic */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
#else
    static CYTHON_INLINE int __Pyx_c_eq_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) {
       return (a.real == b.real) && (a.imag == b.imag);
    }
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_sum_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) {
        __pyx_t_long_double_complex z;
        z.real = a.real + b.real;
        z.imag = a.imag + b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_diff_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) {
        __pyx_t_long_double_complex z;
        z.real = a.real - b.real;
        z.imag = a.imag - b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_prod_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) {
        __pyx_t_long_double_complex z;
        z.real = a.real * b.real - a.imag * b.imag;
        z.imag = a.real * b.imag + a.imag * b.real;
        return z;
    }
    #if 1
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_quot_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) {
        if (b.imag == 0) {
            return __pyx_t_long_double_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else if (fabsl(b.real) >= fabsl(b.imag)) {
            if (b.real == 0 && b.imag == 0) {
                return __pyx_t_long_double_complex_from_parts(a.real / b.real, a.imag / b.imag);
            } else {
                long double r = b.imag / b.real;
                long double s = (long double)(1.0) / (b.real + b.imag * r);
                return __pyx_t_long_double_complex_from_parts(
                    (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);
            }
        } else {
            long double r = b.real / b.imag;
            long double s = (long double)(1.0) / (b.imag + b.real * r);
            return __pyx_t_long_double_complex_from_parts(
                (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);
        }
    }
    #else
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_quot_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) {
        if (b.imag == 0) {
            return __pyx_t_long_double_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else {
            long double denom = b.real * b.real + b.imag * b.imag;
            return __pyx_t_long_double_complex_from_parts(
                (a.real * b.real + a.imag * b.imag) / denom,
                (a.imag * b.real - a.real * b.imag) / denom);
        }
    }
    #endif
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_neg_long__double(__pyx_t_long_double_complex a) {
        __pyx_t_long_double_complex z;
        z.real = -a.real;
        z.imag = -a.imag;
        return z;
    }
    static CYTHON_INLINE int __Pyx_c_is_zero_long__double(__pyx_t_long_double_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_conj_long__double(__pyx_t_long_double_complex a) {
        __pyx_t_long_double_complex z;
        z.real =  a.real;
        z.imag = -a.imag;
        return z;
    }
    #if 1
        static CYTHON_INLINE long double __Pyx_c_abs_long__double(__pyx_t_long_double_complex z) {
          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
            return sqrtl(z.real*z.real + z.imag*z.imag);
          #else
            return hypotl(z.real, z.imag);
          #endif
        }
        static CYTHON_INLINE __pyx_t_long_double_complex __Pyx_c_pow_long__double(__pyx_t_long_double_complex a, __pyx_t_long_double_complex b) {
            __pyx_t_long_double_complex z;
            long double r, lnr, theta, z_r, z_theta;
            if (b.imag == 0 && b.real == (int)b.real) {
                if (b.real < 0) {
                    long double denom = a.real * a.real + a.imag * a.imag;
                    a.real = a.real / denom;
                    a.imag = -a.imag / denom;
                    b.real = -b.real;
                }
                switch ((int)b.real) {
                    case 0:
                        z.real = 1;
                        z.imag = 0;
                        return z;
                    case 1:
                        return a;
                    case 2:
                        return __Pyx_c_prod_long__double(a, a);
                    case 3:
                        z = __Pyx_c_prod_long__double(a, a);
                        return __Pyx_c_prod_long__double(z, a);
                    case 4:
                        z = __Pyx_c_prod_long__double(a, a);
                        return __Pyx_c_prod_long__double(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                } else if ((b.imag == 0) && (a.real >= 0)) {
                    z.real = powl(a.real, b.real);
                    z.imag = 0;
                    return z;
                } else if (a.real > 0) {
                    r = a.real;
                    theta = 0;
                } else {
                    r = -a.real;
                    theta = atan2l(0.0, -1.0);
                }
            } else {
                r = __Pyx_c_abs_long__double(a);
                theta = atan2l(a.imag, a.real);
            }
            lnr = logl(r);
            z_r = expl(lnr * b.real - theta * b.imag);
            z_theta = theta * b.real + lnr * b.imag;
            z.real = z_r * cosl(z_theta);
            z.imag = z_r * sinl(z_theta);
            return z;
        }
    #endif
#endif

/* MemviewRefcount */
#include <stdio.h>
#ifndef _Py_NO_RETURN
#define _Py_NO_RETURN
#endif
_Py_NO_RETURN
static void __pyx_fatalerror(const char *fmt, ...) {
    va_list vargs;
    char msg[200];
#if PY_VERSION_HEX >= 0x030A0000 || defined(HAVE_STDARG_PROTOTYPES)
    va_start(vargs, fmt);
#else
    va_start(vargs);
#endif
    vsnprintf(msg, 200, fmt, vargs);
    va_end(vargs);
    Py_FatalError(msg);
}
static CYTHON_INLINE int
__pyx_add_acquisition_count_locked(__pyx_atomic_int_type *acquisition_count,
                                   PyThread_type_lock lock)
{
    int result;
    PyThread_acquire_lock(lock, 1);
    result = (*acquisition_count)++;
    PyThread_release_lock(lock);
    return result;
}
static CYTHON_INLINE int
__pyx_sub_acquisition_count_locked(__pyx_atomic_int_type *acquisition_count,
                                   PyThread_type_lock lock)
{
    int result;
    PyThread_acquire_lock(lock, 1);
    result = (*acquisition_count)--;
    PyThread_release_lock(lock);
    return result;
}
static CYTHON_INLINE void
__Pyx_INC_MEMVIEW(__Pyx_memviewslice *memslice, int have_gil, int lineno)
{
    __pyx_nonatomic_int_type old_acquisition_count;
    struct __pyx_memoryview_obj *memview = memslice->memview;
    if (unlikely(!memview || (PyObject *) memview == Py_None)) {
        return;
    }
    old_acquisition_count = __pyx_add_acquisition_count(memview);
    if (unlikely(old_acquisition_count <= 0)) {
        if (likely(old_acquisition_count == 0)) {
            if (have_gil) {
                Py_INCREF((PyObject *) memview);
            } else {
                PyGILState_STATE _gilstate = PyGILState_Ensure();
                Py_INCREF((PyObject *) memview);
                PyGILState_Release(_gilstate);
            }
        } else {
            __pyx_fatalerror("Acquisition count is %d (line %d)",
                             old_acquisition_count+1, lineno);
        }
    }
}
static CYTHON_INLINE void __Pyx_XCLEAR_MEMVIEW(__Pyx_memviewslice *memslice,
                                             int have_gil, int lineno) {
    __pyx_nonatomic_int_type old_acquisition_count;
    struct __pyx_memoryview_obj *memview = memslice->memview;
    if (unlikely(!memview || (PyObject *) memview == Py_None)) {
        memslice->memview = NULL;
        return;
    }
    old_acquisition_count = __pyx_sub_acquisition_count(memview);
    memslice->data = NULL;
    if (likely(old_acquisition_count > 1)) {
        memslice->memview = NULL;
    } else if (likely(old_acquisition_count == 1)) {
        if (have_gil) {
            Py_CLEAR(memslice->memview);
        } else {
            PyGILState_STATE _gilstate = PyGILState_Ensure();
            Py_CLEAR(memslice->memview);
            PyGILState_Release(_gilstate);
        }
    } else {
        __pyx_fatalerror("Acquisition count is %d (line %d)",
                         old_acquisition_count-1, lineno);
    }
}

/* MemviewSliceIsContig */
static int
__pyx_memviewslice_is_contig(const __Pyx_memviewslice mvs, char order, int ndim)
{
    int i, index, step, start;
    Py_ssize_t itemsize = mvs.memview->view.itemsize;
    if (order == 'F') {
        step = 1;
        start = 0;
    } else {
        step = -1;
        start = ndim - 1;
    }
    for (i = 0; i < ndim; i++) {
        index = start + step * i;
        if (mvs.suboffsets[index] >= 0 || mvs.strides[index] != itemsize)
            return 0;
        itemsize *= mvs.shape[index];
    }
    return 1;
}

/* OverlappingSlices */
static void
__pyx_get_array_memory_extents(__Pyx_memviewslice *slice,
                               void **out_start, void **out_end,
                               int ndim, size_t itemsize)
{
    char *start, *end;
    int i;
    start = end = slice->data;
    for (i = 0; i < ndim; i++) {
        Py_ssize_t stride = slice->strides[i];
        Py_ssize_t extent = slice->shape[i];
        if (extent == 0) {
            *out_start = *out_end = start;
            return;
        } else {
            if (stride > 0)
                end += stride * (extent - 1);
            else
                start += stride * (extent - 1);
        }
    }
    *out_start = start;
    *out_end = end + itemsize;
}
static int
__pyx_slices_overlap(__Pyx_memviewslice *slice1,
                     __Pyx_memviewslice *slice2,
                     int ndim, size_t itemsize)
{
    void *start1, *end1, *start2, *end2;
    __pyx_get_array_memory_extents(slice1, &start1, &end1, ndim, itemsize);
    __pyx_get_array_memory_extents(slice2, &start2, &end2, ndim, itemsize);
    return (start1 < end2) && (start2 < end1);
}

/* MemviewSliceInit */
static int
__Pyx_init_memviewslice(struct __pyx_memoryview_obj *memview,
                        int ndim,
                        __Pyx_memviewslice *memviewslice,
                        int memview_is_new_reference)
{
    __Pyx_RefNannyDeclarations
    int i, retval=-1;
    Py_buffer *buf = &memview->view;
    __Pyx_RefNannySetupContext("init_memviewslice", 0);
    if (unlikely(memviewslice->memview || memviewslice->data)) {
        PyErr_SetString(PyExc_ValueError,
            "memviewslice is already initialized!");
        goto fail;
    }
    if (buf->strides) {
        for (i = 0; i < ndim; i++) {
            memviewslice->strides[i] = buf->strides[i];
        }
    } else {
        Py_ssize_t stride = buf->itemsize;
        for (i = ndim - 1; i >= 0; i--) {
            memviewslice->strides[i] = stride;
            stride *= buf->shape[i];
        }
    }
    for (i = 0; i < ndim; i++) {
        memviewslice->shape[i]   = buf->shape[i];
        if (buf->suboffsets) {
            memviewslice->suboffsets[i] = buf->suboffsets[i];
        } else {
            memviewslice->suboffsets[i] = -1;
        }
    }
    memviewslice->memview = memview;
    memviewslice->data = (char *)buf->buf;
    if (__pyx_add_acquisition_count(memview) == 0 && !memview_is_new_reference) {
        Py_INCREF((PyObject*)memview);
    }
    retval = 0;
    goto no_fail;
fail:
    memviewslice->memview = 0;
    memviewslice->data = 0;
    retval = -1;
no_fail:
    __Pyx_RefNannyFinishContext();
    return retval;
}

/* PyObjectVectorCallKwBuilder (used by CIntToPy) */
#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

/* CIntToPy */
static CYTHON_INLINE PyObject* __Pyx_PyLong_From_int(int value) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const int neg_one = (int) -1, const_zero = (int) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(int) < sizeof(long)) {
            return PyLong_FromLong((long) value);
        } else if (sizeof(int) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#if !CYTHON_COMPILING_IN_PYPY
        } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(int) <= sizeof(long)) {
            return PyLong_FromLong((long) value);
        } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
        }
    }
    {
        unsigned char *bytes = (unsigned char *)&value;
#if !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x030d00A4
        if (is_unsigned) {
            return PyLong_FromUnsignedNativeBytes(bytes, sizeof(value), -1);
        } else {
            return PyLong_FromNativeBytes(bytes, sizeof(value), -1);
        }
#elif !CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030d0000
        int one = 1; int little = (int)*(unsigned char *)&one;
        return _PyLong_FromByteArray(bytes, sizeof(int),
                                     little, !is_unsigned);
#else
        int one = 1; int little = (int)*(unsigned char *)&one;
        PyObject *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(int));
        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 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;
}

/* MemviewSliceCopy */
static __Pyx_memviewslice
__pyx_memoryview_copy_new_contig(const __Pyx_memviewslice *from_mvs,
                                 const char *mode, int ndim,
                                 size_t sizeof_dtype, int contig_flag,
                                 int dtype_is_object)
{
    __Pyx_RefNannyDeclarations
    int i;
    __Pyx_memviewslice new_mvs = __Pyx_MEMSLICE_INIT;
    struct __pyx_memoryview_obj *from_memview = from_mvs->memview;
    Py_buffer *buf = &from_memview->view;
    PyObject *shape_tuple = NULL;
    PyObject *temp_int = NULL;
    struct __pyx_array_obj *array_obj = NULL;
    struct __pyx_memoryview_obj *memview_obj = NULL;
    __Pyx_RefNannySetupContext("__pyx_memoryview_copy_new_contig", 0);
    for (i = 0; i < ndim; i++) {
        if (unlikely(from_mvs->suboffsets[i] >= 0)) {
            PyErr_Format(PyExc_ValueError, "Cannot copy memoryview slice with "
                                           "indirect dimensions (axis %d)", i);
            goto fail;
        }
    }
    shape_tuple = PyTuple_New(ndim);
    if (unlikely(!shape_tuple)) {
        goto fail;
    }
    __Pyx_GOTREF(shape_tuple);
    for(i = 0; i < ndim; i++) {
        temp_int = PyLong_FromSsize_t(from_mvs->shape[i]);
        if(unlikely(!temp_int)) {
            goto fail;
        } else {
#if CYTHON_ASSUME_SAFE_MACROS
            PyTuple_SET_ITEM(shape_tuple, i, temp_int);
#else
            if (PyTuple_SetItem(shape_tuple, i, temp_int) < 0) {
                goto fail;
            }
#endif
            temp_int = NULL;
        }
    }
    array_obj = __pyx_array_new(shape_tuple, sizeof_dtype, buf->format, mode, NULL);
    if (unlikely(!array_obj)) {
        goto fail;
    }
    __Pyx_GOTREF(array_obj);
    memview_obj = (struct __pyx_memoryview_obj *) __pyx_memoryview_new(
                                    (PyObject *) array_obj, contig_flag,
                                    dtype_is_object,
                                    from_mvs->memview->typeinfo);
    if (unlikely(!memview_obj))
        goto fail;
    if (unlikely(__Pyx_init_memviewslice(memview_obj, ndim, &new_mvs, 1) < 0))
        goto fail;
    if (unlikely(__pyx_memoryview_copy_contents(*from_mvs, new_mvs, ndim, ndim,
                                                dtype_is_object) < 0))
        goto fail;
    goto no_fail;
fail:
    __Pyx_XDECREF((PyObject *) new_mvs.memview);
    new_mvs.memview = NULL;
    new_mvs.data = NULL;
no_fail:
    __Pyx_XDECREF(shape_tuple);
    __Pyx_XDECREF(temp_int);
    __Pyx_XDECREF((PyObject *) array_obj);
    __Pyx_RefNannyFinishContext();
    return new_mvs;
}

/* PyObjectCall2Args (used by PyObjectCallMethod1) */
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call2Args(PyObject* function, PyObject* arg1, PyObject* arg2) {
    PyObject *args[3] = {NULL, arg1, arg2};
    return __Pyx_PyObject_FastCall(function, args+1, 2 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET);
}

/* PyObjectCallMethod1 (used by UpdateUnpickledDict) */
#if !(CYTHON_VECTORCALL && (__PYX_LIMITED_VERSION_HEX >= 0x030C0000 || (!CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x03090000)))
static PyObject* __Pyx__PyObject_CallMethod1(PyObject* method, PyObject* arg) {
    PyObject *result = __Pyx_PyObject_CallOneArg(method, arg);
    Py_DECREF(method);
    return result;
}
#endif
static PyObject* __Pyx_PyObject_CallMethod1(PyObject* obj, PyObject* method_name, PyObject* arg) {
#if CYTHON_VECTORCALL && (__PYX_LIMITED_VERSION_HEX >= 0x030C0000 || (!CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX >= 0x03090000))
    PyObject *args[2] = {obj, arg};
    (void) __Pyx_PyObject_CallOneArg;
    (void) __Pyx_PyObject_Call2Args;
    return PyObject_VectorcallMethod(method_name, args, 2 | PY_VECTORCALL_ARGUMENTS_OFFSET, NULL);
#else
    PyObject *method = NULL, *result;
    int is_method = __Pyx_PyObject_GetMethod(obj, method_name, &method);
    if (likely(is_method)) {
        result = __Pyx_PyObject_Call2Args(method, obj, arg);
        Py_DECREF(method);
        return result;
    }
    if (unlikely(!method)) return NULL;
    return __Pyx__PyObject_CallMethod1(method, arg);
#endif
}

/* UpdateUnpickledDict */
static int __Pyx__UpdateUnpickledDict(PyObject *obj, PyObject *state, Py_ssize_t index) {
    PyObject *state_dict = __Pyx_PySequence_ITEM(state, index);
    if (unlikely(!state_dict)) {
        return -1;
    }
    int non_empty = PyObject_IsTrue(state_dict);
    if (non_empty == 0) {
        Py_DECREF(state_dict);
        return 0;
    } else if (unlikely(non_empty == -1)) {
        return -1;
    }
    PyObject *dict;
    #if CYTHON_COMPILING_IN_LIMITED_API && __PYX_LIMITED_VERSION_HEX < 0x030A0000
    dict = PyObject_GetAttrString(obj, "__dict__");
    #else
    dict = PyObject_GenericGetDict(obj, NULL);
    #endif
    if (unlikely(!dict)) {
        Py_DECREF(state_dict);
        return -1;
    }
    int result;
    if (likely(PyDict_CheckExact(dict))) {
        result = PyDict_Update(dict, state_dict);
    } else {
        PyObject *obj_result = __Pyx_PyObject_CallMethod1(dict, __pyx_mstate_global->__pyx_n_u_update, state_dict);
        if (likely(obj_result)) {
            Py_DECREF(obj_result);
            result = 0;
        } else {
            result = -1;
        }
    }
    Py_DECREF(state_dict);
    Py_DECREF(dict);
    return result;
}
static int __Pyx_UpdateUnpickledDict(PyObject *obj, PyObject *state, Py_ssize_t index) {
    Py_ssize_t state_size = __Pyx_PyTuple_GET_SIZE(state);
    #if !CYTHON_ASSUME_SAFE_SIZE
    if (unlikely(state_size == -1)) return -1;
    #endif
    if (state_size <= index) {
        return 0;
    }
    return __Pyx__UpdateUnpickledDict(obj, state, index);
}

/* CheckUnpickleChecksum */
static void __Pyx_RaiseUnpickleChecksumError(long checksum, long checksum1, long checksum2, long checksum3, const char *members) {
    PyObject *pickle_module = PyImport_ImportModule("pickle");
    if (unlikely(!pickle_module)) return;
    PyObject *pickle_error = PyObject_GetAttrString(pickle_module, "PickleError");
    Py_DECREF(pickle_module);
    if (unlikely(!pickle_error)) return;
    if (checksum2 == checksum1) {
        PyErr_Format(pickle_error, "Incompatible checksums (0x%x vs (0x%x) = (%s))",
            checksum, checksum1, members);
    } else if (checksum3 == checksum2) {
        PyErr_Format(pickle_error, "Incompatible checksums (0x%x vs (0x%x, 0x%x) = (%s))",
            checksum, checksum1, checksum2, members);
    } else {
        PyErr_Format(pickle_error, "Incompatible checksums (0x%x vs (0x%x, 0x%x, 0x%x) = (%s))",
            checksum, checksum1, checksum2, checksum3, members);
    }
    Py_DECREF(pickle_error);
}
static int __Pyx_CheckUnpickleChecksum(long checksum, long checksum1, long checksum2, long checksum3, const char *members) {
    int found = 0;
    found |= checksum1 == checksum;
    found |= checksum2 == checksum;
    found |= checksum3 == checksum;
    if (likely(found))
        return 0;
    __Pyx_RaiseUnpickleChecksumError(checksum, checksum1, checksum2, checksum3, members);
    return -1;
}

/* CIntFromPy */
static 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;
}

/* 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
    }
}

/* CIntFromPy */
static CYTHON_INLINE char __Pyx_PyLong_As_char(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const char neg_one = (char) -1, const_zero = (char) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (unlikely(!PyLong_Check(x))) {
        char val;
        PyObject *tmp = __Pyx_PyNumber_Long(x);
        if (!tmp) return (char) -1;
        val = __Pyx_PyLong_As_char(tmp);
        Py_DECREF(tmp);
        return val;
    }
    if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
        if (unlikely(__Pyx_PyLong_IsNeg(x))) {
            goto raise_neg_overflow;
        } else if (__Pyx_PyLong_IsCompact(x)) {
            __PYX_VERIFY_RETURN_INT(char, __Pyx_compact_upylong, __Pyx_PyLong_CompactValueUnsigned(x))
        } else {
            const digit* digits = __Pyx_PyLong_Digits(x);
            assert(__Pyx_PyLong_DigitCount(x) > 1);
            switch (__Pyx_PyLong_DigitCount(x)) {
                case 2:
                    if ((8 * sizeof(char) > 1 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(char) >= 2 * PyLong_SHIFT)) {
                            return (char) (((((char)digits[1]) << PyLong_SHIFT) | (char)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if ((8 * sizeof(char) > 2 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(char) >= 3 * PyLong_SHIFT)) {
                            return (char) (((((((char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if ((8 * sizeof(char) > 3 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(char) >= 4 * PyLong_SHIFT)) {
                            return (char) (((((((((char)digits[3]) << PyLong_SHIFT) | (char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0]));
                        }
                    }
                    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 (char) -1;
            if (unlikely(result == 1))
                goto raise_neg_overflow;
        }
#endif
        if ((sizeof(char) <= sizeof(unsigned long))) {
            __PYX_VERIFY_RETURN_INT_EXC(char, unsigned long, PyLong_AsUnsignedLong(x))
        } else if ((sizeof(char) <= sizeof(unsigned PY_LONG_LONG))) {
            __PYX_VERIFY_RETURN_INT_EXC(char, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
        }
    } else {
#if CYTHON_USE_PYLONG_INTERNALS
        if (__Pyx_PyLong_IsCompact(x)) {
            __PYX_VERIFY_RETURN_INT(char, __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(char) - 1 > 1 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(char, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(char) - 1 > 2 * PyLong_SHIFT)) {
                            return (char) (((char)-1)*(((((char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if ((8 * sizeof(char) > 1 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(char) - 1 > 2 * PyLong_SHIFT)) {
                            return (char) ((((((char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if ((8 * sizeof(char) - 1 > 2 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(char, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(char) - 1 > 3 * PyLong_SHIFT)) {
                            return (char) (((char)-1)*(((((((char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if ((8 * sizeof(char) > 2 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(char) - 1 > 3 * PyLong_SHIFT)) {
                            return (char) ((((((((char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if ((8 * sizeof(char) - 1 > 3 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(char, 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(char) - 1 > 4 * PyLong_SHIFT)) {
                            return (char) (((char)-1)*(((((((((char)digits[3]) << PyLong_SHIFT) | (char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if ((8 * sizeof(char) > 3 * PyLong_SHIFT)) {
                        if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if ((8 * sizeof(char) - 1 > 4 * PyLong_SHIFT)) {
                            return (char) ((((((((((char)digits[3]) << PyLong_SHIFT) | (char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
                        }
                    }
                    break;
            }
        }
#endif
        if ((sizeof(char) <= sizeof(long))) {
            __PYX_VERIFY_RETURN_INT_EXC(char, long, PyLong_AsLong(x))
        } else if ((sizeof(char) <= sizeof(PY_LONG_LONG))) {
            __PYX_VERIFY_RETURN_INT_EXC(char, PY_LONG_LONG, PyLong_AsLongLong(x))
        }
    }
    {
        char val;
        int ret = -1;
#if PY_VERSION_HEX >= 0x030d00A6 && !CYTHON_COMPILING_IN_LIMITED_API
        Py_ssize_t bytes_copied = PyLong_AsNativeBytes(
            x, &val, sizeof(val), Py_ASNATIVEBYTES_NATIVE_ENDIAN | (is_unsigned ? Py_ASNATIVEBYTES_UNSIGNED_BUFFER | Py_ASNATIVEBYTES_REJECT_NEGATIVE : 0));
        if (unlikely(bytes_copied == -1)) {
        } else if (unlikely(bytes_copied > (Py_ssize_t) sizeof(val))) {
            goto raise_overflow;
        } else {
            ret = 0;
        }
#elif PY_VERSION_HEX < 0x030d0000 && !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API) || defined(_PyLong_AsByteArray)
        int one = 1; int is_little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&val;
        ret = _PyLong_AsByteArray((PyLongObject *)x,
                                    bytes, sizeof(val),
                                    is_little, !is_unsigned);
#else
        PyObject *v;
        PyObject *stepval = NULL, *mask = NULL, *shift = NULL;
        int bits, remaining_bits, is_negative = 0;
        int chunk_size = (sizeof(long) < 8) ? 30 : 62;
        if (likely(PyLong_CheckExact(x))) {
            v = __Pyx_NewRef(x);
        } else {
            v = PyNumber_Long(x);
            if (unlikely(!v)) return (char) -1;
            assert(PyLong_CheckExact(v));
        }
        {
            int result = PyObject_RichCompareBool(v, Py_False, Py_LT);
            if (unlikely(result < 0)) {
                Py_DECREF(v);
                return (char) -1;
            }
            is_negative = result == 1;
        }
        if (is_unsigned && unlikely(is_negative)) {
            Py_DECREF(v);
            goto raise_neg_overflow;
        } else if (is_negative) {
            stepval = PyNumber_Invert(v);
            Py_DECREF(v);
            if (unlikely(!stepval))
                return (char) -1;
        } else {
            stepval = v;
        }
        v = NULL;
        val = (char) 0;
        mask = PyLong_FromLong((1L << chunk_size) - 1); if (unlikely(!mask)) goto done;
        shift = PyLong_FromLong(chunk_size); if (unlikely(!shift)) goto done;
        for (bits = 0; bits < (int) sizeof(char) * 8 - chunk_size; bits += chunk_size) {
            PyObject *tmp, *digit;
            long idigit;
            digit = PyNumber_And(stepval, mask);
            if (unlikely(!digit)) goto done;
            idigit = PyLong_AsLong(digit);
            Py_DECREF(digit);
            if (unlikely(idigit < 0)) goto done;
            val |= ((char) idigit) << bits;
            tmp = PyNumber_Rshift(stepval, shift);
            if (unlikely(!tmp)) goto done;
            Py_DECREF(stepval); stepval = tmp;
        }
        Py_DECREF(shift); shift = NULL;
        Py_DECREF(mask); mask = NULL;
        {
            long idigit = PyLong_AsLong(stepval);
            if (unlikely(idigit < 0)) goto done;
            remaining_bits = ((int) sizeof(char) * 8) - bits - (is_unsigned ? 0 : 1);
            if (unlikely(idigit >= (1L << remaining_bits)))
                goto raise_overflow;
            val |= ((char) idigit) << bits;
        }
        if (!is_unsigned) {
            if (unlikely(val & (((char) 1) << (sizeof(char) * 8 - 1))))
                goto raise_overflow;
            if (is_negative)
                val = ~val;
        }
        ret = 0;
    done:
        Py_XDECREF(shift);
        Py_XDECREF(mask);
        Py_XDECREF(stepval);
#endif
        if (unlikely(ret))
            return (char) -1;
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to char");
    return (char) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to char");
    return (char) -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

/* 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
}

/* AddModuleRef */
#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

/* 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);
    }
}

/* 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 */
