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        #endif
    #else
        #ifdef _WIN64
            typedef unsigned __int64    __pyx_uintptr_t;
        #else
            typedef unsigned __int32    __pyx_uintptr_t;
        #endif
    #endif
#else
    #include <stdint.h>
    typedef uintptr_t  __pyx_uintptr_t;
#endif
#ifndef CYTHON_FALLTHROUGH
  #if defined(__cplusplus)
    /* for clang __has_cpp_attribute(fallthrough) is true even before C++17
     * but leads to warnings with -pedantic, since it is a C++17 feature */
    #if ((defined(_MSVC_LANG) && _MSVC_LANG >= 201703L) || __cplusplus >= 201703L)
      #if __has_cpp_attribute(fallthrough)
        #define CYTHON_FALLTHROUGH [[fallthrough]]
      #endif
    #endif
    #ifndef CYTHON_FALLTHROUGH
      #if __has_cpp_attribute(clang::fallthrough)
        #define CYTHON_FALLTHROUGH [[clang::fallthrough]]
      #elif __has_cpp_attribute(gnu::fallthrough)
        #define CYTHON_FALLTHROUGH [[gnu::fallthrough]]
      #endif
    #endif
  #endif
  #ifndef CYTHON_FALLTHROUGH
    #if __has_attribute(fallthrough)
      #define CYTHON_FALLTHROUGH __attribute__((fallthrough))
    #else
      #define CYTHON_FALLTHROUGH
    #endif
  #endif
  #if defined(__clang__) && defined(__apple_build_version__)
    #if __apple_build_version__ < 7000000
      #undef  CYTHON_FALLTHROUGH
      #define CYTHON_FALLTHROUGH
    #endif
  #endif
#endif
#ifdef __cplusplus
  template <typename T>
  struct __PYX_IS_UNSIGNED_IMPL {static const bool value = T(0) < T(-1);};
  #define __PYX_IS_UNSIGNED(type) (__PYX_IS_UNSIGNED_IMPL<type>::value)
#else
  #define __PYX_IS_UNSIGNED(type) (((type)-1) > 0)
#endif
#if CYTHON_COMPILING_IN_PYPY == 1
  #define __PYX_NEED_TP_PRINT_SLOT  (PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x030A0000)
#else
  #define __PYX_NEED_TP_PRINT_SLOT  (PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000)
#endif
#define __PYX_REINTERPRET_FUNCION(func_pointer, other_pointer) ((func_pointer)(void(*)(void))(other_pointer))

#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

#define __PYX_BUILD_PY_SSIZE_T "n"
#define CYTHON_FORMAT_SSIZE_T "z"
#if PY_MAJOR_VERSION < 3
  #define __Pyx_BUILTIN_MODULE_NAME "__builtin__"
  #define __Pyx_DefaultClassType PyClass_Type
  #define __Pyx_PyCode_New(a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
          PyCode_New(a+k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
#else
  #define __Pyx_BUILTIN_MODULE_NAME "builtins"
  #define __Pyx_DefaultClassType PyType_Type
#if CYTHON_COMPILING_IN_LIMITED_API
    static CYTHON_INLINE PyObject* __Pyx_PyCode_New(int a, int p, int k, int l, int s, int f,
                                                    PyObject *code, PyObject *c, PyObject* n, PyObject *v,
                                                    PyObject *fv, PyObject *cell, PyObject* fn,
                                                    PyObject *name, int fline, PyObject *lnos) {
        PyObject *exception_table = NULL;
        PyObject *types_module=NULL, *code_type=NULL, *result=NULL;
        #if __PYX_LIMITED_VERSION_HEX < 0x030B0000
        PyObject *version_info;
        PyObject *py_minor_version = NULL;
        #endif
        long minor_version = 0;
        PyObject *type, *value, *traceback;
        PyErr_Fetch(&type, &value, &traceback);
        #if __PYX_LIMITED_VERSION_HEX >= 0x030B0000
        minor_version = 11;
        #else
        if (!(version_info = PySys_GetObject("version_info"))) goto end;
        if (!(py_minor_version = PySequence_GetItem(version_info, 1))) goto end;
        minor_version = PyLong_AsLong(py_minor_version);
        Py_DECREF(py_minor_version);
        if (minor_version == -1 && PyErr_Occurred()) goto end;
        #endif
        if (!(types_module = PyImport_ImportModule("types"))) goto end;
        if (!(code_type = PyObject_GetAttrString(types_module, "CodeType"))) goto end;
        if (minor_version <= 7) {
            (void)p;
            result = PyObject_CallFunction(code_type, "iiiiiOOOOOOiOO", a, k, l, s, f, code,
                          c, n, v, fn, name, fline, lnos, fv, cell);
        } else if (minor_version <= 10) {
            result = PyObject_CallFunction(code_type, "iiiiiiOOOOOOiOO", a,p, k, l, s, f, code,
                          c, n, v, fn, name, fline, lnos, fv, cell);
        } else {
            if (!(exception_table = PyBytes_FromStringAndSize(NULL, 0))) goto end;
            result = PyObject_CallFunction(code_type, "iiiiiiOOOOOOOiOO", a,p, k, l, s, f, code,
                          c, n, v, fn, name, name, fline, lnos, exception_table, fv, cell);
        }
    end:
        Py_XDECREF(code_type);
        Py_XDECREF(exception_table);
        Py_XDECREF(types_module);
        if (type) {
            PyErr_Restore(type, value, traceback);
        }
        return result;
    }
    #ifndef CO_OPTIMIZED
    #define CO_OPTIMIZED 0x0001
    #endif
    #ifndef CO_NEWLOCALS
    #define CO_NEWLOCALS 0x0002
    #endif
    #ifndef CO_VARARGS
    #define CO_VARARGS 0x0004
    #endif
    #ifndef CO_VARKEYWORDS
    #define CO_VARKEYWORDS 0x0008
    #endif
    #ifndef CO_ASYNC_GENERATOR
    #define CO_ASYNC_GENERATOR 0x0200
    #endif
    #ifndef CO_GENERATOR
    #define CO_GENERATOR 0x0020
    #endif
    #ifndef CO_COROUTINE
    #define CO_COROUTINE 0x0080
    #endif
#elif PY_VERSION_HEX >= 0x030B0000
  static CYTHON_INLINE PyCodeObject* __Pyx_PyCode_New(int a, int p, int k, int l, int s, int f,
                                                    PyObject *code, PyObject *c, PyObject* n, PyObject *v,
                                                    PyObject *fv, PyObject *cell, PyObject* fn,
                                                    PyObject *name, int fline, PyObject *lnos) {
    PyCodeObject *result;
    PyObject *empty_bytes = PyBytes_FromStringAndSize("", 0);
    if (!empty_bytes) return NULL;
    result =
      #if PY_VERSION_HEX >= 0x030C0000
        PyUnstable_Code_NewWithPosOnlyArgs
      #else
        PyCode_NewWithPosOnlyArgs
      #endif
        (a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, name, fline, lnos, empty_bytes);
    Py_DECREF(empty_bytes);
    return result;
  }
#elif PY_VERSION_HEX >= 0x030800B2 && !CYTHON_COMPILING_IN_PYPY
  #define __Pyx_PyCode_New(a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
          PyCode_NewWithPosOnlyArgs(a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
#else
  #define __Pyx_PyCode_New(a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
          PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
#endif
#endif
#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 CO_COROUTINE
  #define CO_COROUTINE 0x80
#endif
#ifndef CO_ASYNC_GENERATOR
  #define CO_ASYNC_GENERATOR 0x200
#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 METH_STACKLESS
  #define METH_STACKLESS 0
#endif
#if PY_VERSION_HEX <= 0x030700A3 || !defined(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))
#elif CYTHON_BACKPORT_VECTORCALL
  typedef PyObject *(*__pyx_vectorcallfunc)(PyObject *callable, PyObject *const *args,
                                            size_t nargsf, PyObject *kwnames);
  #define __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET  ((size_t)1 << (8 * sizeof(size_t) - 1))
  #define __Pyx_PyVectorcall_NARGS(n)  ((Py_ssize_t)(((size_t)(n)) & ~__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET))
#else
  #define __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET  0
  #define __Pyx_PyVectorcall_NARGS(n)  ((Py_ssize_t)(n))
#endif
#if PY_MAJOR_VERSION >= 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) {
#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 __PYX_LIMITED_VERSION_HEX < 0x030900B1
  #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_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
  #define __Pyx_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()
#elif PY_VERSION_HEX >= 0x03060000
  #define __Pyx_PyThreadState_Current _PyThreadState_UncheckedGet()
#elif PY_VERSION_HEX >= 0x03000000
  #define __Pyx_PyThreadState_Current PyThreadState_GET()
#else
  #define __Pyx_PyThreadState_Current _PyThreadState_Current
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
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;
}
#endif
#define __Pyx_PyObject_GetSlot(obj, name, func_ctype)  __Pyx_PyType_GetSlot(Py_TYPE(obj), name, func_ctype)
#if CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx_PyType_GetSlot(type, name, func_ctype)  ((func_ctype) PyType_GetSlot((type), Py_##name))
#else
  #define __Pyx_PyType_GetSlot(type, name, func_ctype)  ((type)->name)
#endif
#if PY_VERSION_HEX < 0x030700A2 && !defined(PyThread_tss_create) && !defined(Py_tss_NEEDS_INIT)
#include "pythread.h"
#define Py_tss_NEEDS_INIT 0
typedef int Py_tss_t;
static CYTHON_INLINE int PyThread_tss_create(Py_tss_t *key) {
  *key = PyThread_create_key();
  return 0;
}
static CYTHON_INLINE Py_tss_t * PyThread_tss_alloc(void) {
  Py_tss_t *key = (Py_tss_t *)PyObject_Malloc(sizeof(Py_tss_t));
  *key = Py_tss_NEEDS_INIT;
  return key;
}
static CYTHON_INLINE void PyThread_tss_free(Py_tss_t *key) {
  PyObject_Free(key);
}
static CYTHON_INLINE int PyThread_tss_is_created(Py_tss_t *key) {
  return *key != Py_tss_NEEDS_INIT;
}
static CYTHON_INLINE void PyThread_tss_delete(Py_tss_t *key) {
  PyThread_delete_key(*key);
  *key = Py_tss_NEEDS_INIT;
}
static CYTHON_INLINE int PyThread_tss_set(Py_tss_t *key, void *value) {
  return PyThread_set_key_value(*key, value);
}
static CYTHON_INLINE void * PyThread_tss_get(Py_tss_t *key) {
  return PyThread_get_key_value(*key);
}
#endif
#if PY_MAJOR_VERSION < 3
    #if CYTHON_COMPILING_IN_PYPY
        #if PYPY_VERSION_NUM < 0x07030600
            #if defined(__cplusplus) && __cplusplus >= 201402L
                [[deprecated("`with nogil:` inside a nogil function will not release the GIL in PyPy2 < 7.3.6")]]
            #elif defined(__GNUC__) || defined(__clang__)
                __attribute__ ((__deprecated__("`with nogil:` inside a nogil function will not release the GIL in PyPy2 < 7.3.6")))
            #elif defined(_MSC_VER)
                __declspec(deprecated("`with nogil:` inside a nogil function will not release the GIL in PyPy2 < 7.3.6"))
            #endif
            static CYTHON_INLINE int PyGILState_Check(void) {
                return 0;
            }
        #else  // PYPY_VERSION_NUM < 0x07030600
        #endif  // PYPY_VERSION_NUM < 0x07030600
    #else
        static CYTHON_INLINE int PyGILState_Check(void) {
            PyThreadState * tstate = _PyThreadState_Current;
            return tstate && (tstate == PyGILState_GetThisThreadState());
        }
    #endif
#endif
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030d0000 || defined(_PyDict_NewPresized)
#define __Pyx_PyDict_NewPresized(n)  ((n <= 8) ? PyDict_New() : _PyDict_NewPresized(n))
#else
#define __Pyx_PyDict_NewPresized(n)  PyDict_New()
#endif
#if PY_MAJOR_VERSION >= 3 || CYTHON_FUTURE_DIVISION
  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_TrueDivide(x,y)
  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceTrueDivide(x,y)
#else
  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_Divide(x,y)
  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceDivide(x,y)
#endif
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX > 0x030600B4 && PY_VERSION_HEX < 0x030d0000 && 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 PY_MAJOR_VERSION >= 3 && (!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)
  #define __Pyx_PyObject_GetIterNextFunc(obj)  (Py_TYPE(obj)->tp_iternext)
#else
  #define __Pyx_PyType_GetFlags(tp)   (PyType_GetFlags((PyTypeObject *)tp))
  #define __Pyx_PyType_HasFeature(type, feature)  PyType_HasFeature(type, feature)
  #define __Pyx_PyObject_GetIterNextFunc(obj)  PyIter_Next
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx_SetItemOnTypeDict(tp, k, v) PyObject_GenericSetAttr((PyObject*)tp, k, v)
#else
  #define __Pyx_SetItemOnTypeDict(tp, k, v) PyDict_SetItem(tp->tp_dict, k, v)
#endif
#if CYTHON_USE_TYPE_SPECS && PY_VERSION_HEX >= 0x03080000
#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 CYTHON_PEP393_ENABLED 1
  #define __Pyx_PyUnicode_READY(op)       (0)
  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GetLength(u)
  #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))
#elif PY_VERSION_HEX > 0x03030000 && defined(PyUnicode_KIND)
  #define CYTHON_PEP393_ENABLED 1
  #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_GET_LENGTH(u)   PyUnicode_GET_LENGTH(u)
  #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
#else
  #define CYTHON_PEP393_ENABLED 0
  #define PyUnicode_1BYTE_KIND  1
  #define PyUnicode_2BYTE_KIND  2
  #define PyUnicode_4BYTE_KIND  4
  #define __Pyx_PyUnicode_READY(op)       (0)
  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GET_SIZE(u)
  #define __Pyx_PyUnicode_READ_CHAR(u, i) ((Py_UCS4)(PyUnicode_AS_UNICODE(u)[i]))
  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   ((sizeof(Py_UNICODE) == 2) ? 65535U : 1114111U)
  #define __Pyx_PyUnicode_KIND(u)         ((int)sizeof(Py_UNICODE))
  #define __Pyx_PyUnicode_DATA(u)         ((void*)PyUnicode_AS_UNICODE(u))
  #define __Pyx_PyUnicode_READ(k, d, i)   ((void)(k), (Py_UCS4)(((Py_UNICODE*)d)[i]))
  #define __Pyx_PyUnicode_WRITE(k, d, i, ch)  (((void)(k)), ((Py_UNICODE*)d)[i] = (Py_UNICODE) ch)
  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GET_SIZE(u))
#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)) ?\
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#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) || (PY_MAJOR_VERSION == 2 && PYPY_VERSION_NUM < 0x07030500)
    #undef 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)
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  #endif
#endif
#define __Pyx_PyString_FormatSafe(a, b)   ((unlikely((a) == Py_None || (PyString_Check(b) && !PyString_CheckExact(b)))) ? PyNumber_Remainder(a, b) : __Pyx_PyString_Format(a, b))
#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 PY_MAJOR_VERSION >= 3
  #define __Pyx_PyString_Format(a, b)  PyUnicode_Format(a, b)
#else
  #define __Pyx_PyString_Format(a, b)  PyString_Format(a, b)
#endif
#if PY_MAJOR_VERSION < 3 && !defined(PyObject_ASCII)
  #define PyObject_ASCII(o)            PyObject_Repr(o)
#endif
#if PY_MAJOR_VERSION >= 3
  #define PyBaseString_Type            PyUnicode_Type
  #define PyStringObject               PyUnicodeObject
  #define PyString_Type                PyUnicode_Type
  #define PyString_Check               PyUnicode_Check
  #define PyString_CheckExact          PyUnicode_CheckExact
#ifndef PyObject_Unicode
  #define PyObject_Unicode             PyObject_Str
#endif
#endif
#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyBaseString_Check(obj) PyUnicode_Check(obj)
  #define __Pyx_PyBaseString_CheckExact(obj) PyUnicode_CheckExact(obj)
#else
  #define __Pyx_PyBaseString_Check(obj) (PyString_Check(obj) || PyUnicode_Check(obj))
  #define __Pyx_PyBaseString_CheckExact(obj) (PyString_CheckExact(obj) || PyUnicode_CheckExact(obj))
#endif
#if 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
#if CYTHON_ASSUME_SAFE_MACROS
  #define __Pyx_PySequence_ITEM(o, i) PySequence_ITEM(o, i)
  #define __Pyx_PySequence_SIZE(seq)  Py_SIZE(seq)
  #define __Pyx_PyTuple_SET_ITEM(o, i, v) (PyTuple_SET_ITEM(o, i, v), (0))
  #define __Pyx_PyList_SET_ITEM(o, i, v) (PyList_SET_ITEM(o, i, v), (0))
  #define __Pyx_PyTuple_GET_SIZE(o) PyTuple_GET_SIZE(o)
  #define __Pyx_PyList_GET_SIZE(o) PyList_GET_SIZE(o)
  #define __Pyx_PySet_GET_SIZE(o) PySet_GET_SIZE(o)
  #define __Pyx_PyBytes_GET_SIZE(o) PyBytes_GET_SIZE(o)
  #define __Pyx_PyByteArray_GET_SIZE(o) PyByteArray_GET_SIZE(o)
#else
  #define __Pyx_PySequence_ITEM(o, i) PySequence_GetItem(o, i)
  #define __Pyx_PySequence_SIZE(seq)  PySequence_Size(seq)
  #define __Pyx_PyTuple_SET_ITEM(o, i, v) PyTuple_SetItem(o, i, v)
  #define __Pyx_PyList_SET_ITEM(o, i, v) PyList_SetItem(o, i, v)
  #define __Pyx_PyTuple_GET_SIZE(o) PyTuple_Size(o)
  #define __Pyx_PyList_GET_SIZE(o) PyList_Size(o)
  #define __Pyx_PySet_GET_SIZE(o) PySet_Size(o)
  #define __Pyx_PyBytes_GET_SIZE(o) PyBytes_Size(o)
  #define __Pyx_PyByteArray_GET_SIZE(o) PyByteArray_Size(o)
#endif
#if __PYX_LIMITED_VERSION_HEX >= 0x030d00A1
  #define __Pyx_PyImport_AddModuleRef(name) PyImport_AddModuleRef(name)
#else
  static CYTHON_INLINE PyObject *__Pyx_PyImport_AddModuleRef(const char *name) {
      PyObject *module = PyImport_AddModule(name);
      Py_XINCREF(module);
      return module;
  }
#endif
#if PY_MAJOR_VERSION >= 3
  #define PyIntObject                  PyLongObject
  #define PyInt_Type                   PyLong_Type
  #define PyInt_Check(op)              PyLong_Check(op)
  #define PyInt_CheckExact(op)         PyLong_CheckExact(op)
  #define __Pyx_Py3Int_Check(op)       PyLong_Check(op)
  #define __Pyx_Py3Int_CheckExact(op)  PyLong_CheckExact(op)
  #define PyInt_FromString             PyLong_FromString
  #define PyInt_FromUnicode            PyLong_FromUnicode
  #define PyInt_FromLong               PyLong_FromLong
  #define PyInt_FromSize_t             PyLong_FromSize_t
  #define PyInt_FromSsize_t            PyLong_FromSsize_t
  #define PyInt_AsLong                 PyLong_AsLong
  #define PyInt_AS_LONG                PyLong_AS_LONG
  #define PyInt_AsSsize_t              PyLong_AsSsize_t
  #define PyInt_AsUnsignedLongMask     PyLong_AsUnsignedLongMask
  #define PyInt_AsUnsignedLongLongMask PyLong_AsUnsignedLongLongMask
  #define PyNumber_Int                 PyNumber_Long
#else
  #define __Pyx_Py3Int_Check(op)       (PyLong_Check(op) || PyInt_Check(op))
  #define __Pyx_Py3Int_CheckExact(op)  (PyLong_CheckExact(op) || PyInt_CheckExact(op))
#endif
#if PY_MAJOR_VERSION >= 3
  #define PyBoolObject                 PyLongObject
#endif
#if PY_MAJOR_VERSION >= 3 && CYTHON_COMPILING_IN_PYPY
  #ifndef PyUnicode_InternFromString
    #define PyUnicode_InternFromString(s) PyUnicode_FromString(s)
  #endif
#endif
#if PY_VERSION_HEX < 0x030200A4
  typedef long Py_hash_t;
  #define __Pyx_PyInt_FromHash_t PyInt_FromLong
  #define __Pyx_PyInt_AsHash_t   __Pyx_PyIndex_AsHash_t
#else
  #define __Pyx_PyInt_FromHash_t PyInt_FromSsize_t
  #define __Pyx_PyInt_AsHash_t   __Pyx_PyIndex_AsSsize_t
#endif
#if CYTHON_USE_ASYNC_SLOTS
  #if PY_VERSION_HEX >= 0x030500B1
    #define __Pyx_PyAsyncMethodsStruct PyAsyncMethods
    #define __Pyx_PyType_AsAsync(obj) (Py_TYPE(obj)->tp_as_async)
  #else
    #define __Pyx_PyType_AsAsync(obj) ((__Pyx_PyAsyncMethodsStruct*) (Py_TYPE(obj)->tp_reserved))
  #endif
#else
  #define __Pyx_PyType_AsAsync(obj) NULL
#endif
#ifndef __Pyx_PyAsyncMethodsStruct
    typedef struct {
        unaryfunc am_await;
        unaryfunc am_aiter;
        unaryfunc am_anext;
    } __Pyx_PyAsyncMethodsStruct;
#endif

#if defined(_WIN32) || defined(WIN32) || defined(MS_WINDOWS)
  #if !defined(_USE_MATH_DEFINES)
    #define _USE_MATH_DEFINES
  #endif
#endif
#include <math.h>
#ifdef NAN
#define __PYX_NAN() ((float) NAN)
#else
static CYTHON_INLINE float __PYX_NAN() {
  float value;
  memset(&value, 0xFF, sizeof(value));
  return value;
}
#endif
#if defined(__CYGWIN__) && defined(_LDBL_EQ_DBL)
#define __Pyx_truncl trunc
#else
#define __Pyx_truncl truncl
#endif

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

#ifdef CYTHON_EXTERN_C
    #undef __PYX_EXTERN_C
    #define __PYX_EXTERN_C CYTHON_EXTERN_C
#elif defined(__PYX_EXTERN_C)
    #ifdef _MSC_VER
    #pragma message ("Please do not define the '__PYX_EXTERN_C' macro externally. Use 'CYTHON_EXTERN_C' instead.")
    #else
    #warning Please do not define the '__PYX_EXTERN_C' macro externally. Use 'CYTHON_EXTERN_C' instead.
    #endif
#else
  #ifdef __cplusplus
    #define __PYX_EXTERN_C extern "C"
  #else
    #define __PYX_EXTERN_C extern
  #endif
#endif

#define __PYX_HAVE__statsmodels__tsa__statespace___filters___univariate_diffuse
#define __PYX_HAVE_API__statsmodels__tsa__statespace___filters___univariate_diffuse
/* Early includes */
#include <string.h>
#include <stdio.h>

    /* Using NumPy API declarations from "numpy/__init__.cython-30.pxd" */
    
#include "numpy/arrayobject.h"
#include "numpy/ndarrayobject.h"
#include "numpy/ndarraytypes.h"
#include "numpy/arrayscalars.h"
#include "numpy/ufuncobject.h"
#include <math.h>
#include "numpy/npy_math.h"
#include "pythread.h"
#include <stdlib.h>
#ifdef _OPENMP
#include <omp.h>
#endif /* _OPENMP */

#if defined(PYREX_WITHOUT_ASSERTIONS) && !defined(CYTHON_WITHOUT_ASSERTIONS)
#define CYTHON_WITHOUT_ASSERTIONS
#endif

typedef struct {PyObject **p; const char *s; const Py_ssize_t n; const char* encoding;
                const char is_unicode; const char is_str; const char intern; } __Pyx_StringTabEntry;

#define __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 0
#define __PYX_DEFAULT_STRING_ENCODING_IS_UTF8 0
#define __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT (PY_MAJOR_VERSION >= 3 && __PYX_DEFAULT_STRING_ENCODING_IS_UTF8)
#define __PYX_DEFAULT_STRING_ENCODING ""
#define __Pyx_PyObject_FromString __Pyx_PyBytes_FromString
#define __Pyx_PyObject_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
#define __Pyx_uchar_cast(c) ((unsigned char)c)
#define __Pyx_long_cast(x) ((long)x)
#define __Pyx_fits_Py_ssize_t(v, type, is_signed)  (\
    (sizeof(type) < sizeof(Py_ssize_t))  ||\
    (sizeof(type) > sizeof(Py_ssize_t) &&\
          likely(v < (type)PY_SSIZE_T_MAX ||\
                 v == (type)PY_SSIZE_T_MAX)  &&\
          (!is_signed || likely(v > (type)PY_SSIZE_T_MIN ||\
                                v == (type)PY_SSIZE_T_MIN)))  ||\
    (sizeof(type) == sizeof(Py_ssize_t) &&\
          (is_signed || likely(v < (type)PY_SSIZE_T_MAX ||\
                               v == (type)PY_SSIZE_T_MAX)))  )
static CYTHON_INLINE int __Pyx_is_valid_index(Py_ssize_t i, Py_ssize_t limit) {
    return (size_t) i < (size_t) limit;
}
#if defined (__cplusplus) && __cplusplus >= 201103L
    #include <cstdlib>
    #define __Pyx_sst_abs(value) std::abs(value)
#elif SIZEOF_INT >= SIZEOF_SIZE_T
    #define __Pyx_sst_abs(value) abs(value)
#elif SIZEOF_LONG >= SIZEOF_SIZE_T
    #define __Pyx_sst_abs(value) labs(value)
#elif defined (_MSC_VER)
    #define __Pyx_sst_abs(value) ((Py_ssize_t)_abs64(value))
#elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define __Pyx_sst_abs(value) llabs(value)
#elif defined (__GNUC__)
    #define __Pyx_sst_abs(value) __builtin_llabs(value)
#else
    #define __Pyx_sst_abs(value) ((value<0) ? -value : value)
#endif
static CYTHON_INLINE Py_ssize_t __Pyx_ssize_strlen(const char *s);
static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject*);
static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length);
static CYTHON_INLINE PyObject* __Pyx_PyByteArray_FromString(const char*);
#define __Pyx_PyByteArray_FromStringAndSize(s, l) PyByteArray_FromStringAndSize((const char*)s, l)
#define __Pyx_PyBytes_FromString        PyBytes_FromString
#define __Pyx_PyBytes_FromStringAndSize PyBytes_FromStringAndSize
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char*);
#if PY_MAJOR_VERSION < 3
    #define __Pyx_PyStr_FromString        __Pyx_PyBytes_FromString
    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
#else
    #define __Pyx_PyStr_FromString        __Pyx_PyUnicode_FromString
    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyUnicode_FromStringAndSize
#endif
#define __Pyx_PyBytes_AsWritableString(s)     ((char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsWritableSString(s)    ((signed char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsWritableUString(s)    ((unsigned char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsString(s)     ((const char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsSString(s)    ((const signed char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsUString(s)    ((const unsigned char*) PyBytes_AS_STRING(s))
#define __Pyx_PyObject_AsWritableString(s)    ((char*)(__pyx_uintptr_t) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsWritableSString(s)    ((signed char*)(__pyx_uintptr_t) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsWritableUString(s)    ((unsigned char*)(__pyx_uintptr_t) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsSString(s)    ((const signed char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsUString(s)    ((const unsigned char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_FromCString(s)  __Pyx_PyObject_FromString((const char*)s)
#define __Pyx_PyBytes_FromCString(s)   __Pyx_PyBytes_FromString((const char*)s)
#define __Pyx_PyByteArray_FromCString(s)   __Pyx_PyByteArray_FromString((const char*)s)
#define __Pyx_PyStr_FromCString(s)     __Pyx_PyStr_FromString((const char*)s)
#define __Pyx_PyUnicode_FromCString(s) __Pyx_PyUnicode_FromString((const char*)s)
#define __Pyx_PyUnicode_FromOrdinal(o)       PyUnicode_FromOrdinal((int)o)
#define __Pyx_PyUnicode_AsUnicode            PyUnicode_AsUnicode
#define __Pyx_NewRef(obj) (Py_INCREF(obj), obj)
#define __Pyx_Owned_Py_None(b) __Pyx_NewRef(Py_None)
static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b);
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject*);
static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject*);
static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x);
#define __Pyx_PySequence_Tuple(obj)\
    (likely(PyTuple_CheckExact(obj)) ? __Pyx_NewRef(obj) : PySequence_Tuple(obj))
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t);
static CYTHON_INLINE Py_hash_t __Pyx_PyIndex_AsHash_t(PyObject*);
#if CYTHON_ASSUME_SAFE_MACROS
#define __pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x))
#else
#define __pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x)
#endif
#define __pyx_PyFloat_AsFloat(x) ((float) __pyx_PyFloat_AsDouble(x))
#if PY_MAJOR_VERSION >= 3
#define __Pyx_PyNumber_Int(x) (PyLong_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Long(x))
#else
#define __Pyx_PyNumber_Int(x) (PyInt_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Int(x))
#endif
#if CYTHON_USE_PYLONG_INTERNALS
  #if PY_VERSION_HEX >= 0x030C00A7
  #ifndef _PyLong_SIGN_MASK
    #define _PyLong_SIGN_MASK 3
  #endif
  #ifndef _PyLong_NON_SIZE_BITS
    #define _PyLong_NON_SIZE_BITS 3
  #endif
  #define __Pyx_PyLong_Sign(x)  (((PyLongObject*)x)->long_value.lv_tag & _PyLong_SIGN_MASK)
  #define __Pyx_PyLong_IsNeg(x)  ((__Pyx_PyLong_Sign(x) & 2) != 0)
  #define __Pyx_PyLong_IsNonNeg(x)  (!__Pyx_PyLong_IsNeg(x))
  #define __Pyx_PyLong_IsZero(x)  (__Pyx_PyLong_Sign(x) & 1)
  #define __Pyx_PyLong_IsPos(x)  (__Pyx_PyLong_Sign(x) == 0)
  #define __Pyx_PyLong_CompactValueUnsigned(x)  (__Pyx_PyLong_Digits(x)[0])
  #define __Pyx_PyLong_DigitCount(x)  ((Py_ssize_t) (((PyLongObject*)x)->long_value.lv_tag >> _PyLong_NON_SIZE_BITS))
  #define __Pyx_PyLong_SignedDigitCount(x)\
        ((1 - (Py_ssize_t) __Pyx_PyLong_Sign(x)) * __Pyx_PyLong_DigitCount(x))
  #if defined(PyUnstable_Long_IsCompact) && defined(PyUnstable_Long_CompactValue)
    #define __Pyx_PyLong_IsCompact(x)     PyUnstable_Long_IsCompact((PyLongObject*) x)
    #define __Pyx_PyLong_CompactValue(x)  PyUnstable_Long_CompactValue((PyLongObject*) x)
  #else
    #define __Pyx_PyLong_IsCompact(x)     (((PyLongObject*)x)->long_value.lv_tag < (2 << _PyLong_NON_SIZE_BITS))
    #define __Pyx_PyLong_CompactValue(x)  ((1 - (Py_ssize_t) __Pyx_PyLong_Sign(x)) * (Py_ssize_t) __Pyx_PyLong_Digits(x)[0])
  #endif
  typedef Py_ssize_t  __Pyx_compact_pylong;
  typedef size_t  __Pyx_compact_upylong;
  #else
  #define __Pyx_PyLong_IsNeg(x)  (Py_SIZE(x) < 0)
  #define __Pyx_PyLong_IsNonNeg(x)  (Py_SIZE(x) >= 0)
  #define __Pyx_PyLong_IsZero(x)  (Py_SIZE(x) == 0)
  #define __Pyx_PyLong_IsPos(x)  (Py_SIZE(x) > 0)
  #define __Pyx_PyLong_CompactValueUnsigned(x)  ((Py_SIZE(x) == 0) ? 0 : __Pyx_PyLong_Digits(x)[0])
  #define __Pyx_PyLong_DigitCount(x)  __Pyx_sst_abs(Py_SIZE(x))
  #define __Pyx_PyLong_SignedDigitCount(x)  Py_SIZE(x)
  #define __Pyx_PyLong_IsCompact(x)  (Py_SIZE(x) == 0 || Py_SIZE(x) == 1 || Py_SIZE(x) == -1)
  #define __Pyx_PyLong_CompactValue(x)\
        ((Py_SIZE(x) == 0) ? (sdigit) 0 : ((Py_SIZE(x) < 0) ? -(sdigit)__Pyx_PyLong_Digits(x)[0] : (sdigit)__Pyx_PyLong_Digits(x)[0]))
  typedef sdigit  __Pyx_compact_pylong;
  typedef digit  __Pyx_compact_upylong;
  #endif
  #if PY_VERSION_HEX >= 0x030C00A5
  #define __Pyx_PyLong_Digits(x)  (((PyLongObject*)x)->long_value.ob_digit)
  #else
  #define __Pyx_PyLong_Digits(x)  (((PyLongObject*)x)->ob_digit)
  #endif
#endif
#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
#include <string.h>
static int __Pyx_sys_getdefaultencoding_not_ascii;
static int __Pyx_init_sys_getdefaultencoding_params(void) {
    PyObject* sys;
    PyObject* default_encoding = NULL;
    PyObject* ascii_chars_u = NULL;
    PyObject* ascii_chars_b = NULL;
    const char* default_encoding_c;
    sys = PyImport_ImportModule("sys");
    if (!sys) goto bad;
    default_encoding = PyObject_CallMethod(sys, (char*) "getdefaultencoding", NULL);
    Py_DECREF(sys);
    if (!default_encoding) goto bad;
    default_encoding_c = PyBytes_AsString(default_encoding);
    if (!default_encoding_c) goto bad;
    if (strcmp(default_encoding_c, "ascii") == 0) {
        __Pyx_sys_getdefaultencoding_not_ascii = 0;
    } else {
        char ascii_chars[128];
        int c;
        for (c = 0; c < 128; c++) {
            ascii_chars[c] = (char) c;
        }
        __Pyx_sys_getdefaultencoding_not_ascii = 1;
        ascii_chars_u = PyUnicode_DecodeASCII(ascii_chars, 128, NULL);
        if (!ascii_chars_u) goto bad;
        ascii_chars_b = PyUnicode_AsEncodedString(ascii_chars_u, default_encoding_c, NULL);
        if (!ascii_chars_b || !PyBytes_Check(ascii_chars_b) || memcmp(ascii_chars, PyBytes_AS_STRING(ascii_chars_b), 128) != 0) {
            PyErr_Format(
                PyExc_ValueError,
                "This module compiled with c_string_encoding=ascii, but default encoding '%.200s' is not a superset of ascii.",
                default_encoding_c);
            goto bad;
        }
        Py_DECREF(ascii_chars_u);
        Py_DECREF(ascii_chars_b);
    }
    Py_DECREF(default_encoding);
    return 0;
bad:
    Py_XDECREF(default_encoding);
    Py_XDECREF(ascii_chars_u);
    Py_XDECREF(ascii_chars_b);
    return -1;
}
#endif
#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT && PY_MAJOR_VERSION >= 3
#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeUTF8(c_str, size, NULL)
#else
#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_Decode(c_str, size, __PYX_DEFAULT_STRING_ENCODING, NULL)
#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
#include <string.h>
static char* __PYX_DEFAULT_STRING_ENCODING;
static int __Pyx_init_sys_getdefaultencoding_params(void) {
    PyObject* sys;
    PyObject* default_encoding = NULL;
    char* default_encoding_c;
    sys = PyImport_ImportModule("sys");
    if (!sys) goto bad;
    default_encoding = PyObject_CallMethod(sys, (char*) (const char*) "getdefaultencoding", NULL);
    Py_DECREF(sys);
    if (!default_encoding) goto bad;
    default_encoding_c = PyBytes_AsString(default_encoding);
    if (!default_encoding_c) goto bad;
    __PYX_DEFAULT_STRING_ENCODING = (char*) malloc(strlen(default_encoding_c) + 1);
    if (!__PYX_DEFAULT_STRING_ENCODING) goto bad;
    strcpy(__PYX_DEFAULT_STRING_ENCODING, default_encoding_c);
    Py_DECREF(default_encoding);
    return 0;
bad:
    Py_XDECREF(default_encoding);
    return -1;
}
#endif
#endif


/* Test for GCC > 2.95 */
#if defined(__GNUC__)     && (__GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95)))
  #define likely(x)   __builtin_expect(!!(x), 1)
  #define unlikely(x) __builtin_expect(!!(x), 0)
#else /* !__GNUC__ or GCC < 2.95 */
  #define likely(x)   (x)
  #define unlikely(x) (x)
#endif /* __GNUC__ */
static CYTHON_INLINE void __Pyx_pretend_to_initialize(void* ptr) { (void)ptr; }

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

/* Header.proto */
#if !defined(CYTHON_CCOMPLEX)
  #if defined(__cplusplus)
    #define CYTHON_CCOMPLEX 1
  #elif (defined(_Complex_I) && !defined(_MSC_VER)) || ((defined (__STDC_VERSION__) && __STDC_VERSION__ >= 201112L) && !defined(__STDC_NO_COMPLEX__) && !defined(_MSC_VER))
    #define CYTHON_CCOMPLEX 1
  #else
    #define CYTHON_CCOMPLEX 0
  #endif
#endif
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    #include <complex>
  #else
    #include <complex.h>
  #endif
#endif
#if CYTHON_CCOMPLEX && !defined(__cplusplus) && defined(__sun__) && defined(__GNUC__)
  #undef _Complex_I
  #define _Complex_I 1.0fj
#endif

/* #### Code section: filename_table ### */

static const char *__pyx_f[] = {
  "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx",
  "<stringsource>",
  "__init__.cython-30.pxd",
  "type.pxd",
  "statsmodels/tsa/statespace/_representation.pxd",
  "statsmodels/tsa/statespace/_kalman_filter.pxd",
};
/* #### Code section: utility_code_proto_before_types ### */
/* 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()

/* BufferFormatStructs.proto */
struct __Pyx_StructField_;
#define __PYX_BUF_FLAGS_PACKED_STRUCT (1 << 0)
typedef struct {
  const char* name;
  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_ {
  __Pyx_TypeInfo* type;
  const char* name;
  size_t offset;
} __Pyx_StructField;
typedef struct {
  __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;

/* Atomics.proto */
#include <pythread.h>
#ifndef CYTHON_ATOMICS
    #define CYTHON_ATOMICS 1
#endif
#define __PYX_CYTHON_ATOMICS_ENABLED() CYTHON_ATOMICS
#define __pyx_atomic_int_type int
#define __pyx_nonatomic_int_type int
#if CYTHON_ATOMICS && (defined(__STDC_VERSION__) &&\
                        (__STDC_VERSION__ >= 201112L) &&\
                        !defined(__STDC_NO_ATOMICS__))
    #include <stdatomic.h>
#elif CYTHON_ATOMICS && (defined(__cplusplus) && (\
                    (__cplusplus >= 201103L) ||\
                    (defined(_MSC_VER) && _MSC_VER >= 1700)))
    #include <atomic>
#endif
#if CYTHON_ATOMICS && (defined(__STDC_VERSION__) &&\
                        (__STDC_VERSION__ >= 201112L) &&\
                        !defined(__STDC_NO_ATOMICS__) &&\
                       ATOMIC_INT_LOCK_FREE == 2)
    #undef __pyx_atomic_int_type
    #define __pyx_atomic_int_type atomic_int
    #define __pyx_atomic_incr_aligned(value) atomic_fetch_add_explicit(value, 1, memory_order_relaxed)
    #define __pyx_atomic_decr_aligned(value) atomic_fetch_sub_explicit(value, 1, memory_order_acq_rel)
    #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_incr_aligned(value) std::atomic_fetch_add_explicit(value, 1, std::memory_order_relaxed)
    #define __pyx_atomic_decr_aligned(value) std::atomic_fetch_sub_explicit(value, 1, std::memory_order_acq_rel)
    #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_incr_aligned(value) __sync_fetch_and_add(value, 1)
    #define __pyx_atomic_decr_aligned(value) __sync_fetch_and_sub(value, 1)
    #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
    #undef __pyx_nonatomic_int_type
    #define __pyx_nonatomic_int_type long
    #pragma intrinsic (_InterlockedExchangeAdd)
    #define __pyx_atomic_incr_aligned(value) _InterlockedExchangeAdd(value, 1)
    #define __pyx_atomic_decr_aligned(value) _InterlockedExchangeAdd(value, -1)
    #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
#if CYTHON_ATOMICS
    #define __pyx_add_acquisition_count(memview)\
             __pyx_atomic_incr_aligned(__pyx_get_slice_count_pointer(memview))
    #define __pyx_sub_acquisition_count(memview)\
            __pyx_atomic_decr_aligned(__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

/* 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])

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

/* "../../../../tmp/build-env-n63ct9vf/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":769
 * # 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-n63ct9vf/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":770
 * 
 * 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-n63ct9vf/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":771
 * ctypedef npy_int8       int8_t
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int64      int64_t
 * #ctypedef npy_int96      int96_t
 */
typedef npy_int32 __pyx_t_5numpy_int32_t;

/* "../../../../tmp/build-env-n63ct9vf/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":772
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t
 * ctypedef npy_int64      int64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_int96      int96_t
 * #ctypedef npy_int128     int128_t
 */
typedef npy_int64 __pyx_t_5numpy_int64_t;

/* "../../../../tmp/build-env-n63ct9vf/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":776
 * #ctypedef npy_int128     int128_t
 * 
 * ctypedef npy_uint8      uint8_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t
 */
typedef npy_uint8 __pyx_t_5numpy_uint8_t;

/* "../../../../tmp/build-env-n63ct9vf/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":777
 * 
 * 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-n63ct9vf/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":778
 * ctypedef npy_uint8      uint8_t
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint64     uint64_t
 * #ctypedef npy_uint96     uint96_t
 */
typedef npy_uint32 __pyx_t_5numpy_uint32_t;

/* "../../../../tmp/build-env-n63ct9vf/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":779
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t
 * ctypedef npy_uint64     uint64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_uint96     uint96_t
 * #ctypedef npy_uint128    uint128_t
 */
typedef npy_uint64 __pyx_t_5numpy_uint64_t;

/* "../../../../tmp/build-env-n63ct9vf/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":783
 * #ctypedef npy_uint128    uint128_t
 * 
 * ctypedef npy_float32    float32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_float64    float64_t
 * #ctypedef npy_float80    float80_t
 */
typedef npy_float32 __pyx_t_5numpy_float32_t;

/* "../../../../tmp/build-env-n63ct9vf/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":784
 * 
 * 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-n63ct9vf/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":791
 * 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-n63ct9vf/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":792
 * 
 * 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-n63ct9vf/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":794
 * 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-n63ct9vf/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":795
 * 
 * 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-n63ct9vf/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":797
 * 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-n63ct9vf/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":798
 * 
 * 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-n63ct9vf/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":799
 * 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) && (!1 || __cplusplus)
  #ifdef __cplusplus
    typedef ::std::complex< npy_float64 > __pyx_t_npy_float64_complex;
  #else
    typedef npy_float64 _Complex __pyx_t_npy_float64_complex;
  #endif
#else
    typedef struct { npy_float64 real, imag; } __pyx_t_npy_float64_complex;
#endif
static CYTHON_INLINE __pyx_t_npy_float64_complex __pyx_t_npy_float64_complex_from_parts(npy_float64, npy_float64);

/* 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;

/* "../../../../tmp/build-env-n63ct9vf/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":1095
 * 
 * # Iterator API added in v1.6
 * ctypedef int (*NpyIter_IterNextFunc)(NpyIter* it) noexcept nogil             # <<<<<<<<<<<<<<
 * ctypedef void (*NpyIter_GetMultiIndexFunc)(NpyIter* it, npy_intp* outcoords) noexcept nogil
 * 
 */
typedef int (*__pyx_t_5numpy_NpyIter_IterNextFunc)(NpyIter *);

/* "../../../../tmp/build-env-n63ct9vf/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":1096
 * # Iterator API added in v1.6
 * ctypedef int (*NpyIter_IterNextFunc)(NpyIter* it) noexcept nogil
 * ctypedef void (*NpyIter_GetMultiIndexFunc)(NpyIter* it, npy_intp* outcoords) noexcept nogil             # <<<<<<<<<<<<<<
 * 
 * cdef extern from "numpy/arrayobject.h":
 */
typedef void (*__pyx_t_5numpy_NpyIter_GetMultiIndexFunc)(NpyIter *, npy_intp *);
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":114
 * @cython.collection_type("sequence")
 * @cname("__pyx_array")
 * cdef class array:             # <<<<<<<<<<<<<<
 * 
 *     cdef:
 */
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":302
 * 
 * @cname('__pyx_MemviewEnum')
 * cdef class Enum(object):             # <<<<<<<<<<<<<<
 *     cdef object name
 *     def __init__(self, name):
 */
struct __pyx_MemviewEnum_obj {
  PyObject_HEAD
  PyObject *name;
};


/* "View.MemoryView":337
 * 
 * @cname('__pyx_memoryview')
 * cdef class memoryview:             # <<<<<<<<<<<<<<
 * 
 *     cdef object obj
 */
struct __pyx_memoryview_obj {
  PyObject_HEAD
  struct __pyx_vtabstruct_memoryview *__pyx_vtab;
  PyObject *obj;
  PyObject *_size;
  PyObject *_array_interface;
  PyThread_type_lock lock;
  __pyx_atomic_int_type acquisition_count;
  Py_buffer view;
  int flags;
  int dtype_is_object;
  __Pyx_TypeInfo *typeinfo;
};


/* "View.MemoryView":952
 * @cython.collection_type("sequence")
 * @cname('__pyx_memoryviewslice')
 * cdef class _memoryviewslice(memoryview):             # <<<<<<<<<<<<<<
 *     "Internal class for passing memoryview slices to Python"
 * 
 */
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);
  PyObject *(*seek)(struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_cKalmanFilter *, unsigned int, int __pyx_skip_dispatch, struct __pyx_opt_args_11statsmodels_3tsa_10statespace_14_kalman_filter_13cKalmanFilter_seek *__pyx_optional_args);
  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
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 * # Double precision complex
 * cdef class zKalmanFilter(object):             # <<<<<<<<<<<<<<
 *     # Statespace object
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 */

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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    #define __Pyx_Arg_NewRef_VARARGS(arg) arg
    #define __Pyx_Arg_XDECREF_VARARGS(arg)
#endif
#define __Pyx_NumKwargs_VARARGS(kwds) PyDict_Size(kwds)
#define __Pyx_KwValues_VARARGS(args, nargs) NULL
#define __Pyx_GetKwValue_VARARGS(kw, kwvalues, s) __Pyx_PyDict_GetItemStrWithError(kw, s)
#define __Pyx_KwargsAsDict_VARARGS(kw, kwvalues) PyDict_Copy(kw)
#if CYTHON_METH_FASTCALL
    #define __Pyx_Arg_FASTCALL(args, i) args[i]
    #define __Pyx_NumKwargs_FASTCALL(kwds) PyTuple_GET_SIZE(kwds)
    #define __Pyx_KwValues_FASTCALL(args, nargs) ((args) + (nargs))
    static CYTHON_INLINE PyObject * __Pyx_GetKwValue_FASTCALL(PyObject *kwnames, PyObject *const *kwvalues, PyObject *s);
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030d0000
    CYTHON_UNUSED static PyObject *__Pyx_KwargsAsDict_FASTCALL(PyObject *kwnames, PyObject *const *kwvalues);
  #else
    #define __Pyx_KwargsAsDict_FASTCALL(kw, kwvalues) _PyStack_AsDict(kwvalues, kw)
  #endif
    #define __Pyx_Arg_NewRef_FASTCALL(arg) arg  /* no-op, __Pyx_Arg_FASTCALL is direct and this needs
                                                   to have the same reference counting */
    #define __Pyx_Arg_XDECREF_FASTCALL(arg)
#else
    #define __Pyx_Arg_FASTCALL __Pyx_Arg_VARARGS
    #define __Pyx_NumKwargs_FASTCALL __Pyx_NumKwargs_VARARGS
    #define __Pyx_KwValues_FASTCALL __Pyx_KwValues_VARARGS
    #define __Pyx_GetKwValue_FASTCALL __Pyx_GetKwValue_VARARGS
    #define __Pyx_KwargsAsDict_FASTCALL __Pyx_KwargsAsDict_VARARGS
    #define __Pyx_Arg_NewRef_FASTCALL(arg) __Pyx_Arg_NewRef_VARARGS(arg)
    #define __Pyx_Arg_XDECREF_FASTCALL(arg) __Pyx_Arg_XDECREF_VARARGS(arg)
#endif
#if CYTHON_COMPILING_IN_CPYTHON && CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
#define __Pyx_ArgsSlice_VARARGS(args, start, stop) __Pyx_PyTuple_FromArray(&__Pyx_Arg_VARARGS(args, start), stop - start)
#define __Pyx_ArgsSlice_FASTCALL(args, start, stop) __Pyx_PyTuple_FromArray(&__Pyx_Arg_FASTCALL(args, start), stop - start)
#else
#define __Pyx_ArgsSlice_VARARGS(args, start, stop) PyTuple_GetSlice(args, start, stop)
#define __Pyx_ArgsSlice_FASTCALL(args, start, stop) PyTuple_GetSlice(args, start, stop)
#endif

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

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

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

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

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

/* PyFunctionFastCall.proto */
#if CYTHON_FAST_PYCALL
#if !CYTHON_VECTORCALL
#define __Pyx_PyFunction_FastCall(func, args, nargs)\
    __Pyx_PyFunction_FastCallDict((func), (args), (nargs), NULL)
static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, Py_ssize_t nargs, PyObject *kwargs);
#endif
#define __Pyx_BUILD_ASSERT_EXPR(cond)\
    (sizeof(char [1 - 2*!(cond)]) - 1)
#ifndef Py_MEMBER_SIZE
#define Py_MEMBER_SIZE(type, member) sizeof(((type *)0)->member)
#endif
#if !CYTHON_VECTORCALL
#if PY_VERSION_HEX >= 0x03080000
  #include "frameobject.h"
#if PY_VERSION_HEX >= 0x030b00a6 && !CYTHON_COMPILING_IN_LIMITED_API
  #ifndef Py_BUILD_CORE
    #define Py_BUILD_CORE 1
  #endif
  #include "internal/pycore_frame.h"
#endif
  #define __Pxy_PyFrame_Initialize_Offsets()
  #define __Pyx_PyFrame_GetLocalsplus(frame)  ((frame)->f_localsplus)
#else
  static size_t __pyx_pyframe_localsplus_offset = 0;
  #include "frameobject.h"
  #define __Pxy_PyFrame_Initialize_Offsets()\
    ((void)__Pyx_BUILD_ASSERT_EXPR(sizeof(PyFrameObject) == offsetof(PyFrameObject, f_localsplus) + Py_MEMBER_SIZE(PyFrameObject, f_localsplus)),\
     (void)(__pyx_pyframe_localsplus_offset = ((size_t)PyFrame_Type.tp_basicsize) - Py_MEMBER_SIZE(PyFrameObject, f_localsplus)))
  #define __Pyx_PyFrame_GetLocalsplus(frame)\
    (assert(__pyx_pyframe_localsplus_offset), (PyObject **)(((char *)(frame)) + __pyx_pyframe_localsplus_offset))
#endif
#endif
#endif

/* PyObjectCall.proto */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw);
#else
#define __Pyx_PyObject_Call(func, arg, kw) PyObject_Call(func, arg, kw)
#endif

/* PyObjectCallMethO.proto */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg);
#endif

/* PyObjectFastCall.proto */
#define __Pyx_PyObject_FastCall(func, args, nargs)  __Pyx_PyObject_FastCallDict(func, args, (size_t)(nargs), NULL)
static CYTHON_INLINE PyObject* __Pyx_PyObject_FastCallDict(PyObject *func, PyObject **args, size_t nargs, PyObject *kwargs);

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

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

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

/* CIntToPyUnicode.proto */
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_From_int(int value, Py_ssize_t width, char padding_char, char format_char);

/* CIntToPyUnicode.proto */
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_From_Py_ssize_t(Py_ssize_t value, Py_ssize_t width, char padding_char, char format_char);

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

/* StrEquals.proto */
#if PY_MAJOR_VERSION >= 3
#define __Pyx_PyString_Equals __Pyx_PyUnicode_Equals
#else
#define __Pyx_PyString_Equals __Pyx_PyBytes_Equals
#endif

/* 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 PY_MAJOR_VERSION < 3
    #define __Pyx_PyObject_FormatSimple(s, f) (\
        likely(PyUnicode_CheckExact(s)) ? (Py_INCREF(s), s) :\
        likely(PyString_CheckExact(s)) ? PyUnicode_FromEncodedObject(s, NULL, "strict") :\
        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)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_GetItemInt_Fast(o, (Py_ssize_t)i, is_list, wraparound, boundscheck) :\
    (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)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_GetItemInt_List_Fast(o, (Py_ssize_t)i, wraparound, boundscheck) :\
    (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);
#define __Pyx_GetItemInt_Tuple(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_GetItemInt_Tuple_Fast(o, (Py_ssize_t)i, wraparound, boundscheck) :\
    (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);
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);

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

/* 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

/* KeywordStringCheck.proto */
static int __Pyx_CheckKeywordStrings(PyObject *kw, const char* function_name, int kw_allowed);

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

/* 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 */
#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_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_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_PYPY && PY_VERSION_HEX < 0x02070600 && !defined(Py_OptimizeFlag)
  #define __Pyx_init_assertions_enabled()  (0)
  #define __pyx_assertions_enabled()  (1)
#elif CYTHON_COMPILING_IN_LIMITED_API  ||  (CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030C0000)
  static int __pyx_assertions_enabled_flag;
  #define __pyx_assertions_enabled() (__pyx_assertions_enabled_flag)
  static int __Pyx_init_assertions_enabled(void) {
    PyObject *builtins, *debug, *debug_str;
    int flag;
    builtins = PyEval_GetBuiltins();
    if (!builtins) goto bad;
    debug_str = PyUnicode_FromStringAndSize("__debug__", 9);
    if (!debug_str) goto bad;
    debug = PyObject_GetItem(builtins, debug_str);
    Py_DECREF(debug_str);
    if (!debug) goto bad;
    flag = PyObject_IsTrue(debug);
    Py_DECREF(debug);
    if (flag == -1) goto bad;
    __pyx_assertions_enabled_flag = flag;
    return 0;
  bad:
    __pyx_assertions_enabled_flag = 1;
    return -1;
  }
#else
  #define __Pyx_init_assertions_enabled()  (0)
  #define __pyx_assertions_enabled()  (!Py_OptimizeFlag)
#endif

/* 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 */
#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

/* Import.proto */
static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level);

/* ImportDottedModule.proto */
static PyObject *__Pyx_ImportDottedModule(PyObject *name, PyObject *parts_tuple);
#if PY_MAJOR_VERSION >= 3
static PyObject *__Pyx_ImportDottedModule_WalkParts(PyObject *module, PyObject *name, PyObject *parts_tuple);
#endif

/* 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)
#define __Pyx_PyErr_GivenExceptionMatches2(err, type1, type2) (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)

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)
static CYTHON_INLINE PyObject* __Pyx_PySequence_Multiply(PyObject *seq, Py_ssize_t mul);

/* SetItemInt.proto */
#define __Pyx_SetItemInt(o, i, v, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_SetItemInt_Fast(o, (Py_ssize_t)i, v, is_list, wraparound, boundscheck) :\
    (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);

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

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

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

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

/* HasAttr.proto */
static CYTHON_INLINE int __Pyx_HasAttr(PyObject *, PyObject *);

/* PyObject_GenericGetAttrNoDict.proto */
#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
static CYTHON_INLINE PyObject* __Pyx_PyObject_GenericGetAttrNoDict(PyObject* obj, PyObject* attr_name);
#else
#define __Pyx_PyObject_GenericGetAttrNoDict PyObject_GenericGetAttr
#endif

/* PyObject_GenericGetAttr.proto */
#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
static PyObject* __Pyx_PyObject_GenericGetAttr(PyObject* obj, PyObject* attr_name);
#else
#define __Pyx_PyObject_GenericGetAttr PyObject_GenericGetAttr
#endif

/* IncludeStructmemberH.proto */
#include <structmember.h>

/* FixUpExtensionType.proto */
#if CYTHON_USE_TYPE_SPECS
static int __Pyx_fix_up_extension_type_from_spec(PyType_Spec *spec, PyTypeObject *type);
#endif

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

/* PyObjectGetMethod.proto */
static int __Pyx_PyObject_GetMethod(PyObject *obj, PyObject *name, PyObject **method);

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

/* ValidateBasesTuple.proto */
#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 */
static void* __Pyx_GetVtable(PyTypeObject *type);

/* MergeVTables.proto */
#if !CYTHON_COMPILING_IN_LIMITED_API
static int __Pyx_MergeVtables(PyTypeObject *type);
#endif

/* SetupReduce.proto */
#if !CYTHON_COMPILING_IN_LIMITED_API
static int __Pyx_setup_reduce(PyObject* type_obj);
#endif

/* TypeImport.proto */
#ifndef __PYX_HAVE_RT_ImportType_proto_3_0_11
#define __PYX_HAVE_RT_ImportType_proto_3_0_11
#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_0_11(s) alignof(s)
#else
#define __PYX_GET_STRUCT_ALIGNMENT_3_0_11(s) sizeof(void*)
#endif
enum __Pyx_ImportType_CheckSize_3_0_11 {
   __Pyx_ImportType_CheckSize_Error_3_0_11 = 0,
   __Pyx_ImportType_CheckSize_Warn_3_0_11 = 1,
   __Pyx_ImportType_CheckSize_Ignore_3_0_11 = 2
};
static PyTypeObject *__Pyx_ImportType_3_0_11(PyObject* module, const char *module_name, const char *class_name, size_t size, size_t alignment, enum __Pyx_ImportType_CheckSize_3_0_11 check_size);
#endif

/* CLineInTraceback.proto */
#ifdef CYTHON_CLINE_IN_TRACEBACK
#define __Pyx_CLineForTraceback(tstate, c_line)  (((CYTHON_CLINE_IN_TRACEBACK)) ? c_line : 0)
#else
static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line);
#endif

/* CodeObjectCache.proto */
#if !CYTHON_COMPILING_IN_LIMITED_API
typedef struct {
    PyCodeObject* code_object;
    int code_line;
} __Pyx_CodeObjectCacheEntry;
struct __Pyx_CodeObjectCache {
    int count;
    int max_count;
    __Pyx_CodeObjectCacheEntry* entries;
};
static struct __Pyx_CodeObjectCache __pyx_code_cache = {0,0,NULL};
static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line);
static PyCodeObject *__pyx_find_code_object(int code_line);
static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object);
#endif

/* 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

/* RealImag_Cy.proto */
#define __Pyx_CREAL_Cy(z) ((z).real)
#define __Pyx_CIMAG_Cy(z) ((z).imag)
#define __Pyx_SET_CREAL_Cy(z,x) __Pyx_CREAL_Cy(z) = (x)
#define __Pyx_SET_CIMAG_Cy(z,y) __Pyx_CIMAG_cy(z) = (y)

/* Arithmetic.proto */
#if CYTHON_CCOMPLEX && (1) && (!1 || __cplusplus)
    #define __Pyx_c_eq_npy_float64(a, b)   ((a)==(b))
    #define __Pyx_c_sum_npy_float64(a, b)  ((a)+(b))
    #define __Pyx_c_diff_npy_float64(a, b) ((a)-(b))
    #define __Pyx_c_prod_npy_float64(a, b) ((a)*(b))
    #define __Pyx_c_quot_npy_float64(a, b) ((a)/(b))
    #define __Pyx_c_neg_npy_float64(a)     (-(a))
  #ifdef __cplusplus
    #define __Pyx_c_is_zero_npy_float64(z) ((z)==(npy_float64)0)
    #define __Pyx_c_conj_npy_float64(z)    (::std::conj(z))
    #if 1
        #define __Pyx_c_abs_npy_float64(z)     (::std::abs(z))
        #define __Pyx_c_pow_npy_float64(a, b)  (::std::pow(a, b))
    #endif
  #else
    #define __Pyx_c_is_zero_npy_float64(z) ((z)==0)
    #define __Pyx_c_conj_npy_float64(z)    (conj(z))
    #if 1
        #define __Pyx_c_abs_npy_float64(z)     (cabs(z))
        #define __Pyx_c_pow_npy_float64(a, b)  (cpow(a, b))
    #endif
 #endif
#else
    static CYTHON_INLINE int __Pyx_c_eq_npy_float64(__pyx_t_npy_float64_complex, __pyx_t_npy_float64_complex);
    static CYTHON_INLINE __pyx_t_npy_float64_complex __Pyx_c_sum_npy_float64(__pyx_t_npy_float64_complex, __pyx_t_npy_float64_complex);
    static CYTHON_INLINE __pyx_t_npy_float64_complex __Pyx_c_diff_npy_float64(__pyx_t_npy_float64_complex, __pyx_t_npy_float64_complex);
    static CYTHON_INLINE __pyx_t_npy_float64_complex __Pyx_c_prod_npy_float64(__pyx_t_npy_float64_complex, __pyx_t_npy_float64_complex);
    static CYTHON_INLINE __pyx_t_npy_float64_complex __Pyx_c_quot_npy_float64(__pyx_t_npy_float64_complex, __pyx_t_npy_float64_complex);
    static CYTHON_INLINE __pyx_t_npy_float64_complex __Pyx_c_neg_npy_float64(__pyx_t_npy_float64_complex);
    static CYTHON_INLINE int __Pyx_c_is_zero_npy_float64(__pyx_t_npy_float64_complex);
    static CYTHON_INLINE __pyx_t_npy_float64_complex __Pyx_c_conj_npy_float64(__pyx_t_npy_float64_complex);
    #if 1
        static CYTHON_INLINE npy_float64 __Pyx_c_abs_npy_float64(__pyx_t_npy_float64_complex);
        static CYTHON_INLINE __pyx_t_npy_float64_complex __Pyx_c_pow_npy_float64(__pyx_t_npy_float64_complex, __pyx_t_npy_float64_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

#if PY_MAJOR_VERSION < 3
    static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags);
    static void __Pyx_ReleaseBuffer(Py_buffer *view);
#else
    #define __Pyx_GetBuffer PyObject_GetBuffer
    #define __Pyx_ReleaseBuffer PyBuffer_Release
#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;

/* 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);

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

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

/* RealImag_CyTypedef.proto */
#if __cplusplus
#define __Pyx_CREAL_CyTypedef(z) __Pyx_CREAL(z)
#define __Pyx_CIMAG_CyTypedef(z) __Pyx_CIMAG(z)
#define __Pyx_SET_CREAL_CyTypedef(z,x) __Pyx_SET_CREAL(z)
#define __Pyx_SET_CIMAG_CyTypedef(z,x) __Pyx_SET_CIMAG(z)
#else
#define __Pyx_CREAL_CyTypedef(z) __Pyx_CREAL_Cy(z)
#define __Pyx_CIMAG_CyTypedef(z) __Pyx_CIMAG_Cy(z)
#define __Pyx_SET_CREAL_CyTypedef(z,x) __Pyx_SET_CREAL_Cy(z)
#define __Pyx_SET_CIMAG_CyTypedef(z,x) __Pyx_SET_CIMAG_Cy(z)
#endif

/* MemviewSliceCopyTemplate.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);

/* MemviewSliceInit.proto */
#define __Pyx_BUF_MAX_NDIMS %(BUF_MAX_NDIMS)d
#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
static int __Pyx_init_memviewslice(
                struct __pyx_memoryview_obj *memview,
                int ndim,
                __Pyx_memviewslice *memviewslice,
                int memview_is_new_reference);
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);

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

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

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

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

/* CheckBinaryVersion.proto */
static unsigned long __Pyx_get_runtime_version(void);
static int __Pyx_check_binary_version(unsigned long ct_version, unsigned long rt_version, int allow_newer);

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

/* VoidPtrImport.proto */
static int __Pyx_ImportVoidPtr_3_0_11(PyObject *module, const char *name, void **p, const char *sig);

/* FunctionImport.proto */
static int __Pyx_ImportFunction_3_0_11(PyObject *module, const char *funcname, void (**f)(void), const char *sig);

/* InitStrings.proto */
static int __Pyx_InitStrings(__Pyx_StringTabEntry *t);

/* #### Code section: module_declarations ### */
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 *, char *); /*proto*/
static PyObject *__pyx_memoryview_new(PyObject *, int, int, __Pyx_TypeInfo *); /*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_range;
static PyObject *__pyx_builtin___import__;
static PyObject *__pyx_builtin_ValueError;
static PyObject *__pyx_builtin_MemoryError;
static PyObject *__pyx_builtin_enumerate;
static PyObject *__pyx_builtin_TypeError;
static PyObject *__pyx_builtin_AssertionError;
static PyObject *__pyx_builtin_Ellipsis;
static PyObject *__pyx_builtin_id;
static PyObject *__pyx_builtin_IndexError;
static PyObject *__pyx_builtin_ImportError;
/* #### Code section: string_decls ### */
static const char __pyx_k_[] = ": ";
static const char __pyx_k_O[] = "O";
static const char __pyx_k_c[] = "c";
static const char __pyx_k__2[] = ".";
static const char __pyx_k__3[] = "*";
static const char __pyx_k__6[] = "'";
static const char __pyx_k__7[] = ")";
static const char __pyx_k_gc[] = "gc";
static const char __pyx_k_id[] = "id";
static const char __pyx_k_np[] = "np";
static const char __pyx_k__22[] = "?";
static const char __pyx_k_abc[] = "abc";
static const char __pyx_k_and[] = " and ";
static const char __pyx_k_got[] = " (got ";
static const char __pyx_k_inf[] = "inf";
static const char __pyx_k_new[] = "__new__";
static const char __pyx_k_obj[] = "obj";
static const char __pyx_k_sys[] = "sys";
static const char __pyx_k_base[] = "base";
static const char __pyx_k_dict[] = "__dict__";
static const char __pyx_k_main[] = "__main__";
static const char __pyx_k_mode[] = "mode";
static const char __pyx_k_name[] = "name";
static const char __pyx_k_ndim[] = "ndim";
static const char __pyx_k_pack[] = "pack";
static const char __pyx_k_size[] = "size";
static const char __pyx_k_spec[] = "__spec__";
static const char __pyx_k_step[] = "step";
static const char __pyx_k_stop[] = "stop";
static const char __pyx_k_test[] = "__test__";
static const char __pyx_k_ASCII[] = "ASCII";
static const char __pyx_k_class[] = "__class__";
static const char __pyx_k_count[] = "count";
static const char __pyx_k_error[] = "error";
static const char __pyx_k_flags[] = "flags";
static const char __pyx_k_index[] = "index";
static const char __pyx_k_numpy[] = "numpy";
static const char __pyx_k_range[] = "range";
static const char __pyx_k_shape[] = "shape";
static const char __pyx_k_start[] = "start";
static const char __pyx_k_enable[] = "enable";
static const char __pyx_k_encode[] = "encode";
static const char __pyx_k_format[] = "format";
static const char __pyx_k_import[] = "__import__";
static const char __pyx_k_name_2[] = "__name__";
static const char __pyx_k_pickle[] = "pickle";
static const char __pyx_k_reduce[] = "__reduce__";
static const char __pyx_k_struct[] = "struct";
static const char __pyx_k_unpack[] = "unpack";
static const char __pyx_k_update[] = "update";
static const char __pyx_k_disable[] = "disable";
static const char __pyx_k_fortran[] = "fortran";
static const char __pyx_k_memview[] = "memview";
static const char __pyx_k_Ellipsis[] = "Ellipsis";
static const char __pyx_k_Sequence[] = "Sequence";
static const char __pyx_k_getstate[] = "__getstate__";
static const char __pyx_k_itemsize[] = "itemsize";
static const char __pyx_k_pyx_type[] = "__pyx_type";
static const char __pyx_k_register[] = "register";
static const char __pyx_k_setstate[] = "__setstate__";
static const char __pyx_k_TypeError[] = "TypeError";
static const char __pyx_k_enumerate[] = "enumerate";
static const char __pyx_k_isenabled[] = "isenabled";
static const char __pyx_k_pyx_state[] = "__pyx_state";
static const char __pyx_k_reduce_ex[] = "__reduce_ex__";
static const char __pyx_k_IndexError[] = "IndexError";
static const char __pyx_k_ValueError[] = "ValueError";
static const char __pyx_k_pyx_result[] = "__pyx_result";
static const char __pyx_k_pyx_vtable[] = "__pyx_vtable__";
static const char __pyx_k_ImportError[] = "ImportError";
static const char __pyx_k_MemoryError[] = "MemoryError";
static const char __pyx_k_PickleError[] = "PickleError";
static const char __pyx_k_collections[] = "collections";
static const char __pyx_k_initializing[] = "_initializing";
static const char __pyx_k_pyx_checksum[] = "__pyx_checksum";
static const char __pyx_k_stringsource[] = "<stringsource>";
static const char __pyx_k_version_info[] = "version_info";
static const char __pyx_k_class_getitem[] = "__class_getitem__";
static const char __pyx_k_reduce_cython[] = "__reduce_cython__";
static const char __pyx_k_AssertionError[] = "AssertionError";
static const char __pyx_k_View_MemoryView[] = "View.MemoryView";
static const char __pyx_k_allocate_buffer[] = "allocate_buffer";
static const char __pyx_k_collections_abc[] = "collections.abc";
static const char __pyx_k_dtype_is_object[] = "dtype_is_object";
static const char __pyx_k_pyx_PickleError[] = "__pyx_PickleError";
static const char __pyx_k_setstate_cython[] = "__setstate_cython__";
static const char __pyx_k_pyx_unpickle_Enum[] = "__pyx_unpickle_Enum";
static const char __pyx_k_cline_in_traceback[] = "cline_in_traceback";
static const char __pyx_k_strided_and_direct[] = "<strided and direct>";
static const char __pyx_k_strided_and_indirect[] = "<strided and indirect>";
static const char __pyx_k_Invalid_shape_in_axis[] = "Invalid shape in axis ";
static const char __pyx_k_contiguous_and_direct[] = "<contiguous and direct>";
static const char __pyx_k_Cannot_index_with_type[] = "Cannot index with type '";
static const char __pyx_k_MemoryView_of_r_object[] = "<MemoryView of %r object>";
static const char __pyx_k_MemoryView_of_r_at_0x_x[] = "<MemoryView of %r at 0x%x>";
static const char __pyx_k_contiguous_and_indirect[] = "<contiguous and indirect>";
static const char __pyx_k_Dimension_d_is_not_direct[] = "Dimension %d is not direct";
static const char __pyx_k_Index_out_of_bounds_axis_d[] = "Index out of bounds (axis %d)";
static const char __pyx_k_Step_may_not_be_zero_axis_d[] = "Step may not be zero (axis %d)";
static const char __pyx_k_itemsize_0_for_cython_array[] = "itemsize <= 0 for cython.array";
static const char __pyx_k_unable_to_allocate_array_data[] = "unable to allocate array data.";
static const char __pyx_k_State_Space_Models_Author_Chad[] = "\nState Space Models\n\nAuthor: Chad Fulton  \nLicense: Simplified-BSD\n";
static const char __pyx_k_strided_and_direct_or_indirect[] = "<strided and direct or indirect>";
static const char __pyx_k_All_dimensions_preceding_dimensi[] = "All dimensions preceding dimension %d must be indexed and not sliced";
static const char __pyx_k_Buffer_view_does_not_expose_stri[] = "Buffer view does not expose strides";
static const char __pyx_k_Can_only_create_a_buffer_that_is[] = "Can only create a buffer that is contiguous in memory.";
static const char __pyx_k_Cannot_assign_to_read_only_memor[] = "Cannot assign to read-only memoryview";
static const char __pyx_k_Cannot_create_writable_memory_vi[] = "Cannot create writable memory view from read-only memoryview";
static const char __pyx_k_Cannot_transpose_memoryview_with[] = "Cannot transpose memoryview with indirect dimensions";
static const char __pyx_k_Empty_shape_tuple_for_cython_arr[] = "Empty shape tuple for cython.array";
static const char __pyx_k_Incompatible_checksums_0x_x_vs_0[] = "Incompatible checksums (0x%x vs (0x82a3537, 0x6ae9995, 0xb068931) = (name))";
static const char __pyx_k_Indirect_dimensions_not_supporte[] = "Indirect dimensions not supported";
static const char __pyx_k_Invalid_mode_expected_c_or_fortr[] = "Invalid mode, expected 'c' or 'fortran', got ";
static const char __pyx_k_Out_of_bounds_on_buffer_access_a[] = "Out of bounds on buffer access (axis ";
static const char __pyx_k_Unable_to_convert_item_to_object[] = "Unable to convert item to object";
static const char __pyx_k_got_differing_extents_in_dimensi[] = "got differing extents in dimension ";
static const char __pyx_k_no_default___reduce___due_to_non[] = "no default __reduce__ due to non-trivial __cinit__";
static const char __pyx_k_numpy__core_multiarray_failed_to[] = "numpy._core.multiarray failed to import";
static const char __pyx_k_numpy__core_umath_failed_to_impo[] = "numpy._core.umath failed to import";
static const char __pyx_k_unable_to_allocate_shape_and_str[] = "unable to allocate shape and strides.";
/* #### 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 */
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static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_4base___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
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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 */
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static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_12__repr__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_14__str__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_16is_c_contig(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_18is_f_contig(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_20copy(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_22copy_fortran(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_memoryview___reduce_cython__(CYTHON_UNUSED struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
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#endif
/* #### Code section: module_state_traverse ### */
#if CYTHON_USE_MODULE_STATE
static int __pyx_m_traverse(PyObject *m, visitproc visit, void *arg) {
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  Py_VISIT(traverse_module_state->__pyx_tuple__19);
  Py_VISIT(traverse_module_state->__pyx_tuple__20);
  Py_VISIT(traverse_module_state->__pyx_codeobj__21);
  return 0;
}
#endif
/* #### Code section: module_state_defines ### */
#define __pyx_d __pyx_mstate_global->__pyx_d
#define __pyx_b __pyx_mstate_global->__pyx_b
#define __pyx_cython_runtime __pyx_mstate_global->__pyx_cython_runtime
#define __pyx_empty_tuple __pyx_mstate_global->__pyx_empty_tuple
#define __pyx_empty_bytes __pyx_mstate_global->__pyx_empty_bytes
#define __pyx_empty_unicode __pyx_mstate_global->__pyx_empty_unicode
#ifdef __Pyx_CyFunction_USED
#define __pyx_CyFunctionType __pyx_mstate_global->__pyx_CyFunctionType
#endif
#ifdef __Pyx_FusedFunction_USED
#define __pyx_FusedFunctionType __pyx_mstate_global->__pyx_FusedFunctionType
#endif
#ifdef __Pyx_Generator_USED
#define __pyx_GeneratorType __pyx_mstate_global->__pyx_GeneratorType
#endif
#ifdef __Pyx_IterableCoroutine_USED
#define __pyx_IterableCoroutineType __pyx_mstate_global->__pyx_IterableCoroutineType
#endif
#ifdef __Pyx_Coroutine_USED
#define __pyx_CoroutineAwaitType __pyx_mstate_global->__pyx_CoroutineAwaitType
#endif
#ifdef __Pyx_Coroutine_USED
#define __pyx_CoroutineType __pyx_mstate_global->__pyx_CoroutineType
#endif
#if CYTHON_USE_MODULE_STATE
#endif
#if CYTHON_USE_MODULE_STATE
#endif
#if CYTHON_USE_MODULE_STATE
#endif
#if CYTHON_USE_MODULE_STATE
#endif
#define __pyx_ptype_7cpython_4type_type __pyx_mstate_global->__pyx_ptype_7cpython_4type_type
#if CYTHON_USE_MODULE_STATE
#endif
#if CYTHON_USE_MODULE_STATE
#endif
#if CYTHON_USE_MODULE_STATE
#endif
#if CYTHON_USE_MODULE_STATE
#endif
#if CYTHON_USE_MODULE_STATE
#endif
#define __pyx_ptype_5numpy_dtype __pyx_mstate_global->__pyx_ptype_5numpy_dtype
#define __pyx_ptype_5numpy_flatiter __pyx_mstate_global->__pyx_ptype_5numpy_flatiter
#define __pyx_ptype_5numpy_broadcast __pyx_mstate_global->__pyx_ptype_5numpy_broadcast
#define __pyx_ptype_5numpy_ndarray __pyx_mstate_global->__pyx_ptype_5numpy_ndarray
#define __pyx_ptype_5numpy_generic __pyx_mstate_global->__pyx_ptype_5numpy_generic
#define __pyx_ptype_5numpy_number __pyx_mstate_global->__pyx_ptype_5numpy_number
#define __pyx_ptype_5numpy_integer __pyx_mstate_global->__pyx_ptype_5numpy_integer
#define __pyx_ptype_5numpy_signedinteger __pyx_mstate_global->__pyx_ptype_5numpy_signedinteger
#define __pyx_ptype_5numpy_unsignedinteger __pyx_mstate_global->__pyx_ptype_5numpy_unsignedinteger
#define __pyx_ptype_5numpy_inexact __pyx_mstate_global->__pyx_ptype_5numpy_inexact
#define __pyx_ptype_5numpy_floating __pyx_mstate_global->__pyx_ptype_5numpy_floating
#define __pyx_ptype_5numpy_complexfloating __pyx_mstate_global->__pyx_ptype_5numpy_complexfloating
#define __pyx_ptype_5numpy_flexible __pyx_mstate_global->__pyx_ptype_5numpy_flexible
#define __pyx_ptype_5numpy_character __pyx_mstate_global->__pyx_ptype_5numpy_character
#define __pyx_ptype_5numpy_ufunc __pyx_mstate_global->__pyx_ptype_5numpy_ufunc
#if CYTHON_USE_MODULE_STATE
#endif
#define __pyx_ptype_11statsmodels_3tsa_10statespace_15_representation_sStatespace __pyx_mstate_global->__pyx_ptype_11statsmodels_3tsa_10statespace_15_representation_sStatespace
#define __pyx_ptype_11statsmodels_3tsa_10statespace_15_representation_dStatespace __pyx_mstate_global->__pyx_ptype_11statsmodels_3tsa_10statespace_15_representation_dStatespace
#define __pyx_ptype_11statsmodels_3tsa_10statespace_15_representation_cStatespace __pyx_mstate_global->__pyx_ptype_11statsmodels_3tsa_10statespace_15_representation_cStatespace
#define __pyx_ptype_11statsmodels_3tsa_10statespace_15_representation_zStatespace __pyx_mstate_global->__pyx_ptype_11statsmodels_3tsa_10statespace_15_representation_zStatespace
#if CYTHON_USE_MODULE_STATE
#endif
#define __pyx_ptype_11statsmodels_3tsa_10statespace_14_kalman_filter_sKalmanFilter __pyx_mstate_global->__pyx_ptype_11statsmodels_3tsa_10statespace_14_kalman_filter_sKalmanFilter
#define __pyx_ptype_11statsmodels_3tsa_10statespace_14_kalman_filter_dKalmanFilter __pyx_mstate_global->__pyx_ptype_11statsmodels_3tsa_10statespace_14_kalman_filter_dKalmanFilter
#define __pyx_ptype_11statsmodels_3tsa_10statespace_14_kalman_filter_cKalmanFilter __pyx_mstate_global->__pyx_ptype_11statsmodels_3tsa_10statespace_14_kalman_filter_cKalmanFilter
#define __pyx_ptype_11statsmodels_3tsa_10statespace_14_kalman_filter_zKalmanFilter __pyx_mstate_global->__pyx_ptype_11statsmodels_3tsa_10statespace_14_kalman_filter_zKalmanFilter
#if CYTHON_USE_MODULE_STATE
#endif
#if CYTHON_USE_MODULE_STATE
#endif
#if CYTHON_USE_MODULE_STATE
#endif
#if CYTHON_USE_MODULE_STATE
#endif
#if CYTHON_USE_MODULE_STATE
#endif
#if CYTHON_USE_MODULE_STATE
#define __pyx_type___pyx_array __pyx_mstate_global->__pyx_type___pyx_array
#define __pyx_type___pyx_MemviewEnum __pyx_mstate_global->__pyx_type___pyx_MemviewEnum
#define __pyx_type___pyx_memoryview __pyx_mstate_global->__pyx_type___pyx_memoryview
#define __pyx_type___pyx_memoryviewslice __pyx_mstate_global->__pyx_type___pyx_memoryviewslice
#endif
#define __pyx_array_type __pyx_mstate_global->__pyx_array_type
#define __pyx_MemviewEnum_type __pyx_mstate_global->__pyx_MemviewEnum_type
#define __pyx_memoryview_type __pyx_mstate_global->__pyx_memoryview_type
#define __pyx_memoryviewslice_type __pyx_mstate_global->__pyx_memoryviewslice_type
#define __pyx_kp_u_ __pyx_mstate_global->__pyx_kp_u_
#define __pyx_n_s_ASCII __pyx_mstate_global->__pyx_n_s_ASCII
#define __pyx_kp_s_All_dimensions_preceding_dimensi __pyx_mstate_global->__pyx_kp_s_All_dimensions_preceding_dimensi
#define __pyx_n_s_AssertionError __pyx_mstate_global->__pyx_n_s_AssertionError
#define __pyx_kp_s_Buffer_view_does_not_expose_stri __pyx_mstate_global->__pyx_kp_s_Buffer_view_does_not_expose_stri
#define __pyx_kp_s_Can_only_create_a_buffer_that_is __pyx_mstate_global->__pyx_kp_s_Can_only_create_a_buffer_that_is
#define __pyx_kp_s_Cannot_assign_to_read_only_memor __pyx_mstate_global->__pyx_kp_s_Cannot_assign_to_read_only_memor
#define __pyx_kp_s_Cannot_create_writable_memory_vi __pyx_mstate_global->__pyx_kp_s_Cannot_create_writable_memory_vi
#define __pyx_kp_u_Cannot_index_with_type __pyx_mstate_global->__pyx_kp_u_Cannot_index_with_type
#define __pyx_kp_s_Cannot_transpose_memoryview_with __pyx_mstate_global->__pyx_kp_s_Cannot_transpose_memoryview_with
#define __pyx_kp_s_Dimension_d_is_not_direct __pyx_mstate_global->__pyx_kp_s_Dimension_d_is_not_direct
#define __pyx_n_s_Ellipsis __pyx_mstate_global->__pyx_n_s_Ellipsis
#define __pyx_kp_s_Empty_shape_tuple_for_cython_arr __pyx_mstate_global->__pyx_kp_s_Empty_shape_tuple_for_cython_arr
#define __pyx_n_s_ImportError __pyx_mstate_global->__pyx_n_s_ImportError
#define __pyx_kp_s_Incompatible_checksums_0x_x_vs_0 __pyx_mstate_global->__pyx_kp_s_Incompatible_checksums_0x_x_vs_0
#define __pyx_n_s_IndexError __pyx_mstate_global->__pyx_n_s_IndexError
#define __pyx_kp_s_Index_out_of_bounds_axis_d __pyx_mstate_global->__pyx_kp_s_Index_out_of_bounds_axis_d
#define __pyx_kp_s_Indirect_dimensions_not_supporte __pyx_mstate_global->__pyx_kp_s_Indirect_dimensions_not_supporte
#define __pyx_kp_u_Invalid_mode_expected_c_or_fortr __pyx_mstate_global->__pyx_kp_u_Invalid_mode_expected_c_or_fortr
#define __pyx_kp_u_Invalid_shape_in_axis __pyx_mstate_global->__pyx_kp_u_Invalid_shape_in_axis
#define __pyx_n_s_MemoryError __pyx_mstate_global->__pyx_n_s_MemoryError
#define __pyx_kp_s_MemoryView_of_r_at_0x_x __pyx_mstate_global->__pyx_kp_s_MemoryView_of_r_at_0x_x
#define __pyx_kp_s_MemoryView_of_r_object __pyx_mstate_global->__pyx_kp_s_MemoryView_of_r_object
#define __pyx_n_b_O __pyx_mstate_global->__pyx_n_b_O
#define __pyx_kp_u_Out_of_bounds_on_buffer_access_a __pyx_mstate_global->__pyx_kp_u_Out_of_bounds_on_buffer_access_a
#define __pyx_n_s_PickleError __pyx_mstate_global->__pyx_n_s_PickleError
#define __pyx_n_s_Sequence __pyx_mstate_global->__pyx_n_s_Sequence
#define __pyx_kp_s_Step_may_not_be_zero_axis_d __pyx_mstate_global->__pyx_kp_s_Step_may_not_be_zero_axis_d
#define __pyx_n_s_TypeError __pyx_mstate_global->__pyx_n_s_TypeError
#define __pyx_kp_s_Unable_to_convert_item_to_object __pyx_mstate_global->__pyx_kp_s_Unable_to_convert_item_to_object
#define __pyx_n_s_ValueError __pyx_mstate_global->__pyx_n_s_ValueError
#define __pyx_n_s_View_MemoryView __pyx_mstate_global->__pyx_n_s_View_MemoryView
#define __pyx_kp_u__2 __pyx_mstate_global->__pyx_kp_u__2
#define __pyx_n_s__22 __pyx_mstate_global->__pyx_n_s__22
#define __pyx_n_s__3 __pyx_mstate_global->__pyx_n_s__3
#define __pyx_kp_u__6 __pyx_mstate_global->__pyx_kp_u__6
#define __pyx_kp_u__7 __pyx_mstate_global->__pyx_kp_u__7
#define __pyx_n_s_abc __pyx_mstate_global->__pyx_n_s_abc
#define __pyx_n_s_allocate_buffer __pyx_mstate_global->__pyx_n_s_allocate_buffer
#define __pyx_kp_u_and __pyx_mstate_global->__pyx_kp_u_and
#define __pyx_n_s_base __pyx_mstate_global->__pyx_n_s_base
#define __pyx_n_s_c __pyx_mstate_global->__pyx_n_s_c
#define __pyx_n_u_c __pyx_mstate_global->__pyx_n_u_c
#define __pyx_n_s_class __pyx_mstate_global->__pyx_n_s_class
#define __pyx_n_s_class_getitem __pyx_mstate_global->__pyx_n_s_class_getitem
#define __pyx_n_s_cline_in_traceback __pyx_mstate_global->__pyx_n_s_cline_in_traceback
#define __pyx_n_s_collections __pyx_mstate_global->__pyx_n_s_collections
#define __pyx_kp_s_collections_abc __pyx_mstate_global->__pyx_kp_s_collections_abc
#define __pyx_kp_s_contiguous_and_direct __pyx_mstate_global->__pyx_kp_s_contiguous_and_direct
#define __pyx_kp_s_contiguous_and_indirect __pyx_mstate_global->__pyx_kp_s_contiguous_and_indirect
#define __pyx_n_s_count __pyx_mstate_global->__pyx_n_s_count
#define __pyx_n_s_dict __pyx_mstate_global->__pyx_n_s_dict
#define __pyx_kp_u_disable __pyx_mstate_global->__pyx_kp_u_disable
#define __pyx_n_s_dtype_is_object __pyx_mstate_global->__pyx_n_s_dtype_is_object
#define __pyx_kp_u_enable __pyx_mstate_global->__pyx_kp_u_enable
#define __pyx_n_s_encode __pyx_mstate_global->__pyx_n_s_encode
#define __pyx_n_s_enumerate __pyx_mstate_global->__pyx_n_s_enumerate
#define __pyx_n_s_error __pyx_mstate_global->__pyx_n_s_error
#define __pyx_n_s_flags __pyx_mstate_global->__pyx_n_s_flags
#define __pyx_n_s_format __pyx_mstate_global->__pyx_n_s_format
#define __pyx_n_s_fortran __pyx_mstate_global->__pyx_n_s_fortran
#define __pyx_n_u_fortran __pyx_mstate_global->__pyx_n_u_fortran
#define __pyx_kp_u_gc __pyx_mstate_global->__pyx_kp_u_gc
#define __pyx_n_s_getstate __pyx_mstate_global->__pyx_n_s_getstate
#define __pyx_kp_u_got __pyx_mstate_global->__pyx_kp_u_got
#define __pyx_kp_u_got_differing_extents_in_dimensi __pyx_mstate_global->__pyx_kp_u_got_differing_extents_in_dimensi
#define __pyx_n_s_id __pyx_mstate_global->__pyx_n_s_id
#define __pyx_n_s_import __pyx_mstate_global->__pyx_n_s_import
#define __pyx_n_s_index __pyx_mstate_global->__pyx_n_s_index
#define __pyx_n_s_inf __pyx_mstate_global->__pyx_n_s_inf
#define __pyx_n_s_initializing __pyx_mstate_global->__pyx_n_s_initializing
#define __pyx_kp_u_isenabled __pyx_mstate_global->__pyx_kp_u_isenabled
#define __pyx_n_s_itemsize __pyx_mstate_global->__pyx_n_s_itemsize
#define __pyx_kp_s_itemsize_0_for_cython_array __pyx_mstate_global->__pyx_kp_s_itemsize_0_for_cython_array
#define __pyx_n_s_main __pyx_mstate_global->__pyx_n_s_main
#define __pyx_n_s_memview __pyx_mstate_global->__pyx_n_s_memview
#define __pyx_n_s_mode __pyx_mstate_global->__pyx_n_s_mode
#define __pyx_n_s_name __pyx_mstate_global->__pyx_n_s_name
#define __pyx_n_s_name_2 __pyx_mstate_global->__pyx_n_s_name_2
#define __pyx_n_s_ndim __pyx_mstate_global->__pyx_n_s_ndim
#define __pyx_n_s_new __pyx_mstate_global->__pyx_n_s_new
#define __pyx_kp_s_no_default___reduce___due_to_non __pyx_mstate_global->__pyx_kp_s_no_default___reduce___due_to_non
#define __pyx_n_s_np __pyx_mstate_global->__pyx_n_s_np
#define __pyx_n_s_numpy __pyx_mstate_global->__pyx_n_s_numpy
#define __pyx_kp_u_numpy__core_multiarray_failed_to __pyx_mstate_global->__pyx_kp_u_numpy__core_multiarray_failed_to
#define __pyx_kp_u_numpy__core_umath_failed_to_impo __pyx_mstate_global->__pyx_kp_u_numpy__core_umath_failed_to_impo
#define __pyx_n_s_obj __pyx_mstate_global->__pyx_n_s_obj
#define __pyx_n_s_pack __pyx_mstate_global->__pyx_n_s_pack
#define __pyx_n_s_pickle __pyx_mstate_global->__pyx_n_s_pickle
#define __pyx_n_s_pyx_PickleError __pyx_mstate_global->__pyx_n_s_pyx_PickleError
#define __pyx_n_s_pyx_checksum __pyx_mstate_global->__pyx_n_s_pyx_checksum
#define __pyx_n_s_pyx_result __pyx_mstate_global->__pyx_n_s_pyx_result
#define __pyx_n_s_pyx_state __pyx_mstate_global->__pyx_n_s_pyx_state
#define __pyx_n_s_pyx_type __pyx_mstate_global->__pyx_n_s_pyx_type
#define __pyx_n_s_pyx_unpickle_Enum __pyx_mstate_global->__pyx_n_s_pyx_unpickle_Enum
#define __pyx_n_s_pyx_vtable __pyx_mstate_global->__pyx_n_s_pyx_vtable
#define __pyx_n_s_range __pyx_mstate_global->__pyx_n_s_range
#define __pyx_n_s_reduce __pyx_mstate_global->__pyx_n_s_reduce
#define __pyx_n_s_reduce_cython __pyx_mstate_global->__pyx_n_s_reduce_cython
#define __pyx_n_s_reduce_ex __pyx_mstate_global->__pyx_n_s_reduce_ex
#define __pyx_n_s_register __pyx_mstate_global->__pyx_n_s_register
#define __pyx_n_s_setstate __pyx_mstate_global->__pyx_n_s_setstate
#define __pyx_n_s_setstate_cython __pyx_mstate_global->__pyx_n_s_setstate_cython
#define __pyx_n_s_shape __pyx_mstate_global->__pyx_n_s_shape
#define __pyx_n_s_size __pyx_mstate_global->__pyx_n_s_size
#define __pyx_n_s_spec __pyx_mstate_global->__pyx_n_s_spec
#define __pyx_n_s_start __pyx_mstate_global->__pyx_n_s_start
#define __pyx_n_s_step __pyx_mstate_global->__pyx_n_s_step
#define __pyx_n_s_stop __pyx_mstate_global->__pyx_n_s_stop
#define __pyx_kp_s_strided_and_direct __pyx_mstate_global->__pyx_kp_s_strided_and_direct
#define __pyx_kp_s_strided_and_direct_or_indirect __pyx_mstate_global->__pyx_kp_s_strided_and_direct_or_indirect
#define __pyx_kp_s_strided_and_indirect __pyx_mstate_global->__pyx_kp_s_strided_and_indirect
#define __pyx_kp_s_stringsource __pyx_mstate_global->__pyx_kp_s_stringsource
#define __pyx_n_s_struct __pyx_mstate_global->__pyx_n_s_struct
#define __pyx_n_s_sys __pyx_mstate_global->__pyx_n_s_sys
#define __pyx_n_s_test __pyx_mstate_global->__pyx_n_s_test
#define __pyx_kp_s_unable_to_allocate_array_data __pyx_mstate_global->__pyx_kp_s_unable_to_allocate_array_data
#define __pyx_kp_s_unable_to_allocate_shape_and_str __pyx_mstate_global->__pyx_kp_s_unable_to_allocate_shape_and_str
#define __pyx_n_s_unpack __pyx_mstate_global->__pyx_n_s_unpack
#define __pyx_n_s_update __pyx_mstate_global->__pyx_n_s_update
#define __pyx_n_s_version_info __pyx_mstate_global->__pyx_n_s_version_info
#define __pyx_int_0 __pyx_mstate_global->__pyx_int_0
#define __pyx_int_1 __pyx_mstate_global->__pyx_int_1
#define __pyx_int_3 __pyx_mstate_global->__pyx_int_3
#define __pyx_int_112105877 __pyx_mstate_global->__pyx_int_112105877
#define __pyx_int_136983863 __pyx_mstate_global->__pyx_int_136983863
#define __pyx_int_184977713 __pyx_mstate_global->__pyx_int_184977713
#define __pyx_int_neg_1 __pyx_mstate_global->__pyx_int_neg_1
#define __pyx_slice__5 __pyx_mstate_global->__pyx_slice__5
#define __pyx_tuple__4 __pyx_mstate_global->__pyx_tuple__4
#define __pyx_tuple__8 __pyx_mstate_global->__pyx_tuple__8
#define __pyx_tuple__9 __pyx_mstate_global->__pyx_tuple__9
#define __pyx_tuple__10 __pyx_mstate_global->__pyx_tuple__10
#define __pyx_tuple__11 __pyx_mstate_global->__pyx_tuple__11
#define __pyx_tuple__12 __pyx_mstate_global->__pyx_tuple__12
#define __pyx_tuple__13 __pyx_mstate_global->__pyx_tuple__13
#define __pyx_tuple__14 __pyx_mstate_global->__pyx_tuple__14
#define __pyx_tuple__15 __pyx_mstate_global->__pyx_tuple__15
#define __pyx_tuple__16 __pyx_mstate_global->__pyx_tuple__16
#define __pyx_tuple__17 __pyx_mstate_global->__pyx_tuple__17
#define __pyx_tuple__18 __pyx_mstate_global->__pyx_tuple__18
#define __pyx_tuple__19 __pyx_mstate_global->__pyx_tuple__19
#define __pyx_tuple__20 __pyx_mstate_global->__pyx_tuple__20
#define __pyx_codeobj__21 __pyx_mstate_global->__pyx_codeobj__21
/* #### Code section: module_code ### */

/* "View.MemoryView":131
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 * 
 */
    __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, 784, __pyx_L1_error)
    __Pyx_GOTREF(__pyx_t_2);

    /* "View.MemoryView":784
 *                                     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_memoryview_type))))) __PYX_ERR(1, 784, __pyx_L1_error)
    __pyx_r = ((struct __pyx_memoryview_obj *)__pyx_t_2);
    __pyx_t_2 = 0;
    goto __pyx_L0;
  }

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

  /* 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);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

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

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;
  #ifdef WITH_THREAD
  PyGILState_STATE __pyx_gilstate_save;
  #endif

  /* "View.MemoryView":813
 *     cdef bint negative_step
 * 
 *     if not is_slice:             # <<<<<<<<<<<<<<
 * 
 *         if start < 0:
 */
  __pyx_t_1 = (!__pyx_v_is_slice);
  if (__pyx_t_1) {

    /* "View.MemoryView":815
 *     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":816
 * 
 *         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":815
 *     if not is_slice:
 * 
 *         if start < 0:             # <<<<<<<<<<<<<<
 *             start += shape
 *         if not 0 <= start < shape:
 */
    }

    /* "View.MemoryView":817
 *         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":818
 *             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_kp_s_Index_out_of_bounds_axis_d, __pyx_v_dim); if (unlikely(__pyx_t_3 == ((int)-1))) __PYX_ERR(1, 818, __pyx_L1_error)

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

    /* "View.MemoryView":813
 *     cdef bint negative_step
 * 
 *     if not is_slice:             # <<<<<<<<<<<<<<
 * 
 *         if start < 0:
 */
    goto __pyx_L3;
  }

  /* "View.MemoryView":821
 *     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":822
 * 
 *         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":823
 *         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":824
 *             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_kp_s_Step_may_not_be_zero_axis_d, __pyx_v_dim); if (unlikely(__pyx_t_3 == ((int)-1))) __PYX_ERR(1, 824, __pyx_L1_error)

        /* "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)
 *         else:
 */
      }

      /* "View.MemoryView":821
 *     else:
 * 
 *         if have_step:             # <<<<<<<<<<<<<<
 *             negative_step = step < 0
 *             if step == 0:
 */
      goto __pyx_L6;
    }

    /* "View.MemoryView":826
 *                 _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":827
 *         else:
 *             negative_step = False
 *             step = 1             # <<<<<<<<<<<<<<
 * 
 * 
 */
      __pyx_v_step = 1;
    }
    __pyx_L6:;

    /* "View.MemoryView":830
 * 
 * 
 *         if have_start:             # <<<<<<<<<<<<<<
 *             if start < 0:
 *                 start += shape
 */
    __pyx_t_2 = (__pyx_v_have_start != 0);
    if (__pyx_t_2) {

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

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

        /* "View.MemoryView":833
 *             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":834
 *                 start += shape
 *                 if start < 0:
 *                     start = 0             # <<<<<<<<<<<<<<
 *             elif start >= shape:
 *                 if negative_step:
 */
          __pyx_v_start = 0;

          /* "View.MemoryView":833
 *             if start < 0:
 *                 start += shape
 *                 if start < 0:             # <<<<<<<<<<<<<<
 *                     start = 0
 *             elif start >= shape:
 */
        }

        /* "View.MemoryView":831
 * 
 *         if have_start:
 *             if start < 0:             # <<<<<<<<<<<<<<
 *                 start += shape
 *                 if start < 0:
 */
        goto __pyx_L9;
      }

      /* "View.MemoryView":835
 *                 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":836
 *                     start = 0
 *             elif start >= shape:
 *                 if negative_step:             # <<<<<<<<<<<<<<
 *                     start = shape - 1
 *                 else:
 */
        if (__pyx_v_negative_step) {

          /* "View.MemoryView":837
 *             elif start >= shape:
 *                 if negative_step:
 *                     start = shape - 1             # <<<<<<<<<<<<<<
 *                 else:
 *                     start = shape
 */
          __pyx_v_start = (__pyx_v_shape - 1);

          /* "View.MemoryView":836
 *                     start = 0
 *             elif start >= shape:
 *                 if negative_step:             # <<<<<<<<<<<<<<
 *                     start = shape - 1
 *                 else:
 */
          goto __pyx_L11;
        }

        /* "View.MemoryView":839
 *                     start = shape - 1
 *                 else:
 *                     start = shape             # <<<<<<<<<<<<<<
 *         else:
 *             if negative_step:
 */
        /*else*/ {
          __pyx_v_start = __pyx_v_shape;
        }
        __pyx_L11:;

        /* "View.MemoryView":835
 *                 if start < 0:
 *                     start = 0
 *             elif start >= shape:             # <<<<<<<<<<<<<<
 *                 if negative_step:
 *                     start = shape - 1
 */
      }
      __pyx_L9:;

      /* "View.MemoryView":830
 * 
 * 
 *         if have_start:             # <<<<<<<<<<<<<<
 *             if start < 0:
 *                 start += shape
 */
      goto __pyx_L8;
    }

    /* "View.MemoryView":841
 *                     start = shape
 *         else:
 *             if negative_step:             # <<<<<<<<<<<<<<
 *                 start = shape - 1
 *             else:
 */
    /*else*/ {
      if (__pyx_v_negative_step) {

        /* "View.MemoryView":842
 *         else:
 *             if negative_step:
 *                 start = shape - 1             # <<<<<<<<<<<<<<
 *             else:
 *                 start = 0
 */
        __pyx_v_start = (__pyx_v_shape - 1);

        /* "View.MemoryView":841
 *                     start = shape
 *         else:
 *             if negative_step:             # <<<<<<<<<<<<<<
 *                 start = shape - 1
 *             else:
 */
        goto __pyx_L12;
      }

      /* "View.MemoryView":844
 *                 start = shape - 1
 *             else:
 *                 start = 0             # <<<<<<<<<<<<<<
 * 
 *         if have_stop:
 */
      /*else*/ {
        __pyx_v_start = 0;
      }
      __pyx_L12:;
    }
    __pyx_L8:;

    /* "View.MemoryView":846
 *                 start = 0
 * 
 *         if have_stop:             # <<<<<<<<<<<<<<
 *             if stop < 0:
 *                 stop += shape
 */
    __pyx_t_2 = (__pyx_v_have_stop != 0);
    if (__pyx_t_2) {

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

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

        /* "View.MemoryView":849
 *             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":850
 *                 stop += shape
 *                 if stop < 0:
 *                     stop = 0             # <<<<<<<<<<<<<<
 *             elif stop > shape:
 *                 stop = shape
 */
          __pyx_v_stop = 0;

          /* "View.MemoryView":849
 *             if stop < 0:
 *                 stop += shape
 *                 if stop < 0:             # <<<<<<<<<<<<<<
 *                     stop = 0
 *             elif stop > shape:
 */
        }

        /* "View.MemoryView":847
 * 
 *         if have_stop:
 *             if stop < 0:             # <<<<<<<<<<<<<<
 *                 stop += shape
 *                 if stop < 0:
 */
        goto __pyx_L14;
      }

      /* "View.MemoryView":851
 *                 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":852
 *                     stop = 0
 *             elif stop > shape:
 *                 stop = shape             # <<<<<<<<<<<<<<
 *         else:
 *             if negative_step:
 */
        __pyx_v_stop = __pyx_v_shape;

        /* "View.MemoryView":851
 *                 if stop < 0:
 *                     stop = 0
 *             elif stop > shape:             # <<<<<<<<<<<<<<
 *                 stop = shape
 *         else:
 */
      }
      __pyx_L14:;

      /* "View.MemoryView":846
 *                 start = 0
 * 
 *         if have_stop:             # <<<<<<<<<<<<<<
 *             if stop < 0:
 *                 stop += shape
 */
      goto __pyx_L13;
    }

    /* "View.MemoryView":854
 *                 stop = shape
 *         else:
 *             if negative_step:             # <<<<<<<<<<<<<<
 *                 stop = -1
 *             else:
 */
    /*else*/ {
      if (__pyx_v_negative_step) {

        /* "View.MemoryView":855
 *         else:
 *             if negative_step:
 *                 stop = -1             # <<<<<<<<<<<<<<
 *             else:
 *                 stop = shape
 */
        __pyx_v_stop = -1L;

        /* "View.MemoryView":854
 *                 stop = shape
 *         else:
 *             if negative_step:             # <<<<<<<<<<<<<<
 *                 stop = -1
 *             else:
 */
        goto __pyx_L16;
      }

      /* "View.MemoryView":857
 *                 stop = -1
 *             else:
 *                 stop = shape             # <<<<<<<<<<<<<<
 * 
 * 
 */
      /*else*/ {
        __pyx_v_stop = __pyx_v_shape;
      }
      __pyx_L16:;
    }
    __pyx_L13:;

    /* "View.MemoryView":861
 * 
 *         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":863
 *             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":864
 * 
 *             if (stop - start) - step * new_shape:
 *                 new_shape += 1             # <<<<<<<<<<<<<<
 * 
 *         if new_shape < 0:
 */
      __pyx_v_new_shape = (__pyx_v_new_shape + 1);

      /* "View.MemoryView":863
 *             new_shape = (stop - start) // step
 * 
 *             if (stop - start) - step * new_shape:             # <<<<<<<<<<<<<<
 *                 new_shape += 1
 * 
 */
    }

    /* "View.MemoryView":866
 *                 new_shape += 1
 * 
 *         if new_shape < 0:             # <<<<<<<<<<<<<<
 *             new_shape = 0
 * 
 */
    __pyx_t_2 = (__pyx_v_new_shape < 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":867
 * 
 *         if new_shape < 0:
 *             new_shape = 0             # <<<<<<<<<<<<<<
 * 
 * 
 */
      __pyx_v_new_shape = 0;

      /* "View.MemoryView":866
 *                 new_shape += 1
 * 
 *         if new_shape < 0:             # <<<<<<<<<<<<<<
 *             new_shape = 0
 * 
 */
    }

    /* "View.MemoryView":870
 * 
 * 
 *         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":871
 * 
 *         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":872
 *         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":875
 * 
 * 
 *     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":876
 * 
 *     if suboffset_dim[0] < 0:
 *         dst.data += start * stride             # <<<<<<<<<<<<<<
 *     else:
 *         dst.suboffsets[suboffset_dim[0]] += start * stride
 */
    __pyx_v_dst->data = (__pyx_v_dst->data + (__pyx_v_start * __pyx_v_stride));

    /* "View.MemoryView":875
 * 
 * 
 *     if suboffset_dim[0] < 0:             # <<<<<<<<<<<<<<
 *         dst.data += start * stride
 *     else:
 */
    goto __pyx_L19;
  }

  /* "View.MemoryView":878
 *         dst.data += start * stride
 *     else:
 *         dst.suboffsets[suboffset_dim[0]] += start * stride             # <<<<<<<<<<<<<<
 * 
 *     if suboffset >= 0:
 */
  /*else*/ {
    __pyx_t_3 = (__pyx_v_suboffset_dim[0]);
    (__pyx_v_dst->suboffsets[__pyx_t_3]) = ((__pyx_v_dst->suboffsets[__pyx_t_3]) + (__pyx_v_start * __pyx_v_stride));
  }
  __pyx_L19:;

  /* "View.MemoryView":880
 *         dst.suboffsets[suboffset_dim[0]] += start * stride
 * 
 *     if suboffset >= 0:             # <<<<<<<<<<<<<<
 *         if not is_slice:
 *             if new_ndim == 0:
 */
  __pyx_t_2 = (__pyx_v_suboffset >= 0);
  if (__pyx_t_2) {

    /* "View.MemoryView":881
 * 
 *     if suboffset >= 0:
 *         if not is_slice:             # <<<<<<<<<<<<<<
 *             if new_ndim == 0:
 *                 dst.data = (<char **> dst.data)[0] + suboffset
 */
    __pyx_t_2 = (!__pyx_v_is_slice);
    if (__pyx_t_2) {

      /* "View.MemoryView":882
 *     if suboffset >= 0:
 *         if not is_slice:
 *             if new_ndim == 0:             # <<<<<<<<<<<<<<
 *                 dst.data = (<char **> dst.data)[0] + suboffset
 *             else:
 */
      __pyx_t_2 = (__pyx_v_new_ndim == 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":883
 *         if not is_slice:
 *             if new_ndim == 0:
 *                 dst.data = (<char **> dst.data)[0] + suboffset             # <<<<<<<<<<<<<<
 *             else:
 *                 _err_dim(PyExc_IndexError, "All dimensions preceding dimension %d "
 */
        __pyx_v_dst->data = ((((char **)__pyx_v_dst->data)[0]) + __pyx_v_suboffset);

        /* "View.MemoryView":882
 *     if suboffset >= 0:
 *         if not is_slice:
 *             if new_ndim == 0:             # <<<<<<<<<<<<<<
 *                 dst.data = (<char **> dst.data)[0] + suboffset
 *             else:
 */
        goto __pyx_L22;
      }

      /* "View.MemoryView":885
 *                 dst.data = (<char **> dst.data)[0] + suboffset
 *             else:
 *                 _err_dim(PyExc_IndexError, "All dimensions preceding dimension %d "             # <<<<<<<<<<<<<<
 *                                      "must be indexed and not sliced", dim)
 *         else:
 */
      /*else*/ {

        /* "View.MemoryView":886
 *             else:
 *                 _err_dim(PyExc_IndexError, "All dimensions preceding dimension %d "
 *                                      "must be indexed and not sliced", dim)             # <<<<<<<<<<<<<<
 *         else:
 *             suboffset_dim[0] = new_ndim
 */
        __pyx_t_3 = __pyx_memoryview_err_dim(PyExc_IndexError, __pyx_kp_s_All_dimensions_preceding_dimensi, __pyx_v_dim); if (unlikely(__pyx_t_3 == ((int)-1))) __PYX_ERR(1, 885, __pyx_L1_error)
      }
      __pyx_L22:;

      /* "View.MemoryView":881
 * 
 *     if suboffset >= 0:
 *         if not is_slice:             # <<<<<<<<<<<<<<
 *             if new_ndim == 0:
 *                 dst.data = (<char **> dst.data)[0] + suboffset
 */
      goto __pyx_L21;
    }

    /* "View.MemoryView":888
 *                                      "must be indexed and not sliced", dim)
 *         else:
 *             suboffset_dim[0] = new_ndim             # <<<<<<<<<<<<<<
 * 
 *     return 0
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/* "View.MemoryView":1087
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 *     """
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 */

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  int (*__pyx_v_to_dtype_func)(char *, PyObject *);
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  int __pyx_t_1;
  PyObject *(*__pyx_t_2)(char *);
  int (*__pyx_t_3)(char *, PyObject *);
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 * 
 *     if isinstance(memview, _memoryviewslice):             # <<<<<<<<<<<<<<
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 *     if isinstance(memview, _memoryviewslice):
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 *         to_dtype_func = (<_memoryviewslice> memview).to_dtype_func
 *     else:
 */
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 *     if isinstance(memview, _memoryviewslice):
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 *         to_dtype_func = (<_memoryviewslice> memview).to_dtype_func             # <<<<<<<<<<<<<<
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 *     cdef int (*to_dtype_func)(char *, object) except 0
 * 
 *     if isinstance(memview, _memoryviewslice):             # <<<<<<<<<<<<<<
 *         to_object_func = (<_memoryviewslice> memview).to_object_func
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 *         to_dtype_func = NULL
 * 
 */
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 *         to_dtype_func = NULL             # <<<<<<<<<<<<<<
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 *     return memoryview_fromslice(memviewslice[0], memview.view.ndim,
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 *         to_dtype_func = NULL
 * 
 *     return memoryview_fromslice(memviewslice[0], memview.view.ndim,             # <<<<<<<<<<<<<<
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 * 
 * 
 */
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 * 
 * @cname('__pyx_memoryview_copy_object_from_slice')
 * cdef memoryview_copy_from_slice(memoryview memview, __Pyx_memviewslice *memviewslice):             # <<<<<<<<<<<<<<
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 *     Create a new memoryview object from a given memoryview object and slice.
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/* "View.MemoryView":1109
 * 
 * 
 * cdef Py_ssize_t abs_py_ssize_t(Py_ssize_t arg) noexcept nogil:             # <<<<<<<<<<<<<<
 *     return -arg if arg < 0 else arg
 * 
 */

static Py_ssize_t abs_py_ssize_t(Py_ssize_t __pyx_v_arg) {
  Py_ssize_t __pyx_r;
  Py_ssize_t __pyx_t_1;
  int __pyx_t_2;

  /* "View.MemoryView":1110
 * 
 * cdef Py_ssize_t abs_py_ssize_t(Py_ssize_t arg) noexcept nogil:
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 * 
 * @cname('__pyx_get_best_slice_order')
 */
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  /* "View.MemoryView":1109
 * 
 * 
 * cdef Py_ssize_t abs_py_ssize_t(Py_ssize_t arg) noexcept nogil:             # <<<<<<<<<<<<<<
 *     return -arg if arg < 0 else arg
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 */

  /* function exit code */
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/* "View.MemoryView":1113
 * 
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 *     """
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 */

static char __pyx_get_best_slice_order(__Pyx_memviewslice *__pyx_v_mslice, int __pyx_v_ndim) {
  int __pyx_v_i;
  Py_ssize_t __pyx_v_c_stride;
  Py_ssize_t __pyx_v_f_stride;
  char __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;

  /* "View.MemoryView":1118
 *     """
 *     cdef int i
 *     cdef Py_ssize_t c_stride = 0             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t f_stride = 0
 * 
 */
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  /* "View.MemoryView":1119
 *     cdef int i
 *     cdef Py_ssize_t c_stride = 0
 *     cdef Py_ssize_t f_stride = 0             # <<<<<<<<<<<<<<
 * 
 *     for i in range(ndim - 1, -1, -1):
 */
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  /* "View.MemoryView":1121
 *     cdef Py_ssize_t f_stride = 0
 * 
 *     for i in range(ndim - 1, -1, -1):             # <<<<<<<<<<<<<<
 *         if mslice.shape[i] > 1:
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 */
  for (__pyx_t_1 = (__pyx_v_ndim - 1); __pyx_t_1 > -1; __pyx_t_1-=1) {
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    /* "View.MemoryView":1122
 * 
 *     for i in range(ndim - 1, -1, -1):
 *         if mslice.shape[i] > 1:             # <<<<<<<<<<<<<<
 *             c_stride = mslice.strides[i]
 *             break
 */
    __pyx_t_2 = ((__pyx_v_mslice->shape[__pyx_v_i]) > 1);
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      /* "View.MemoryView":1123
 *     for i in range(ndim - 1, -1, -1):
 *         if mslice.shape[i] > 1:
 *             c_stride = mslice.strides[i]             # <<<<<<<<<<<<<<
 *             break
 * 
 */
      __pyx_v_c_stride = (__pyx_v_mslice->strides[__pyx_v_i]);

      /* "View.MemoryView":1124
 *         if mslice.shape[i] > 1:
 *             c_stride = mslice.strides[i]
 *             break             # <<<<<<<<<<<<<<
 * 
 *     for i in range(ndim):
 */
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      /* "View.MemoryView":1122
 * 
 *     for i in range(ndim - 1, -1, -1):
 *         if mslice.shape[i] > 1:             # <<<<<<<<<<<<<<
 *             c_stride = mslice.strides[i]
 *             break
 */
    }
  }
  __pyx_L4_break:;

  /* "View.MemoryView":1126
 *             break
 * 
 *     for i in range(ndim):             # <<<<<<<<<<<<<<
 *         if mslice.shape[i] > 1:
 *             f_stride = mslice.strides[i]
 */
  __pyx_t_1 = __pyx_v_ndim;
  __pyx_t_3 = __pyx_t_1;
  for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_3; __pyx_t_4+=1) {
    __pyx_v_i = __pyx_t_4;

    /* "View.MemoryView":1127
 * 
 *     for i in range(ndim):
 *         if mslice.shape[i] > 1:             # <<<<<<<<<<<<<<
 *             f_stride = mslice.strides[i]
 *             break
 */
    __pyx_t_2 = ((__pyx_v_mslice->shape[__pyx_v_i]) > 1);
    if (__pyx_t_2) {

      /* "View.MemoryView":1128
 *     for i in range(ndim):
 *         if mslice.shape[i] > 1:
 *             f_stride = mslice.strides[i]             # <<<<<<<<<<<<<<
 *             break
 * 
 */
      __pyx_v_f_stride = (__pyx_v_mslice->strides[__pyx_v_i]);

      /* "View.MemoryView":1129
 *         if mslice.shape[i] > 1:
 *             f_stride = mslice.strides[i]
 *             break             # <<<<<<<<<<<<<<
 * 
 *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):
 */
      goto __pyx_L7_break;

      /* "View.MemoryView":1127
 * 
 *     for i in range(ndim):
 *         if mslice.shape[i] > 1:             # <<<<<<<<<<<<<<
 *             f_stride = mslice.strides[i]
 *             break
 */
    }
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  __pyx_L7_break:;

  /* "View.MemoryView":1131
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 * 
 *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):             # <<<<<<<<<<<<<<
 *         return 'C'
 *     else:
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    /* "View.MemoryView":1132
 * 
 *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):
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 *     else:
 *         return 'F'
 */
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    /* "View.MemoryView":1131
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 * 
 *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):             # <<<<<<<<<<<<<<
 *         return 'C'
 *     else:
 */
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 * 
 * @cython.cdivision(True)
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 * @cname('__pyx_get_best_slice_order')
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/* "View.MemoryView":1137
 * 
 * @cython.cdivision(True)
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 *                                    char *dst_data, Py_ssize_t *dst_strides,
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 */

static void _copy_strided_to_strided(char *__pyx_v_src_data, Py_ssize_t *__pyx_v_src_strides, char *__pyx_v_dst_data, Py_ssize_t *__pyx_v_dst_strides, Py_ssize_t *__pyx_v_src_shape, Py_ssize_t *__pyx_v_dst_shape, int __pyx_v_ndim, size_t __pyx_v_itemsize) {
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  CYTHON_UNUSED Py_ssize_t __pyx_v_src_extent;
  Py_ssize_t __pyx_v_dst_extent;
  Py_ssize_t __pyx_v_src_stride;
  Py_ssize_t __pyx_v_dst_stride;
  int __pyx_t_1;
  int __pyx_t_2;
  Py_ssize_t __pyx_t_3;
  Py_ssize_t __pyx_t_4;
  Py_ssize_t __pyx_t_5;

  /* "View.MemoryView":1144
 * 
 *     cdef Py_ssize_t i
 *     cdef Py_ssize_t src_extent = src_shape[0]             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t dst_extent = dst_shape[0]
 *     cdef Py_ssize_t src_stride = src_strides[0]
 */
  __pyx_v_src_extent = (__pyx_v_src_shape[0]);

  /* "View.MemoryView":1145
 *     cdef Py_ssize_t i
 *     cdef Py_ssize_t src_extent = src_shape[0]
 *     cdef Py_ssize_t dst_extent = dst_shape[0]             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t src_stride = src_strides[0]
 *     cdef Py_ssize_t dst_stride = dst_strides[0]
 */
  __pyx_v_dst_extent = (__pyx_v_dst_shape[0]);

  /* "View.MemoryView":1146
 *     cdef Py_ssize_t src_extent = src_shape[0]
 *     cdef Py_ssize_t dst_extent = dst_shape[0]
 *     cdef Py_ssize_t src_stride = src_strides[0]             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t dst_stride = dst_strides[0]
 * 
 */
  __pyx_v_src_stride = (__pyx_v_src_strides[0]);

  /* "View.MemoryView":1147
 *     cdef Py_ssize_t dst_extent = dst_shape[0]
 *     cdef Py_ssize_t src_stride = src_strides[0]
 *     cdef Py_ssize_t dst_stride = dst_strides[0]             # <<<<<<<<<<<<<<
 * 
 *     if ndim == 1:
 */
  __pyx_v_dst_stride = (__pyx_v_dst_strides[0]);

  /* "View.MemoryView":1149
 *     cdef Py_ssize_t dst_stride = dst_strides[0]
 * 
 *     if ndim == 1:             # <<<<<<<<<<<<<<
 *         if (src_stride > 0 and dst_stride > 0 and
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 */
  __pyx_t_1 = (__pyx_v_ndim == 1);
  if (__pyx_t_1) {

    /* "View.MemoryView":1150
 * 
 *     if ndim == 1:
 *         if (src_stride > 0 and dst_stride > 0 and             # <<<<<<<<<<<<<<
 *             <size_t> src_stride == itemsize == <size_t> dst_stride):
 *             memcpy(dst_data, src_data, itemsize * dst_extent)
 */
    __pyx_t_2 = (__pyx_v_src_stride > 0);
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    } else {
      __pyx_t_1 = __pyx_t_2;
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    }
    __pyx_t_2 = (__pyx_v_dst_stride > 0);
    if (__pyx_t_2) {
    } else {
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      goto __pyx_L5_bool_binop_done;
    }

    /* "View.MemoryView":1151
 *     if ndim == 1:
 *         if (src_stride > 0 and dst_stride > 0 and
 *             <size_t> src_stride == itemsize == <size_t> dst_stride):             # <<<<<<<<<<<<<<
 *             memcpy(dst_data, src_data, itemsize * dst_extent)
 *         else:
 */
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    /* "View.MemoryView":1150
 * 
 *     if ndim == 1:
 *         if (src_stride > 0 and dst_stride > 0 and             # <<<<<<<<<<<<<<
 *             <size_t> src_stride == itemsize == <size_t> dst_stride):
 *             memcpy(dst_data, src_data, itemsize * dst_extent)
 */
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      /* "View.MemoryView":1152
 *         if (src_stride > 0 and dst_stride > 0 and
 *             <size_t> src_stride == itemsize == <size_t> dst_stride):
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 *         else:
 *             for i in range(dst_extent):
 */
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      /* "View.MemoryView":1150
 * 
 *     if ndim == 1:
 *         if (src_stride > 0 and dst_stride > 0 and             # <<<<<<<<<<<<<<
 *             <size_t> src_stride == itemsize == <size_t> dst_stride):
 *             memcpy(dst_data, src_data, itemsize * dst_extent)
 */
      goto __pyx_L4;
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    /* "View.MemoryView":1154
 *             memcpy(dst_data, src_data, itemsize * dst_extent)
 *         else:
 *             for i in range(dst_extent):             # <<<<<<<<<<<<<<
 *                 memcpy(dst_data, src_data, itemsize)
 *                 src_data += src_stride
 */
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      __pyx_t_3 = __pyx_v_dst_extent;
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        __pyx_v_i = __pyx_t_5;

        /* "View.MemoryView":1155
 *         else:
 *             for i in range(dst_extent):
 *                 memcpy(dst_data, src_data, itemsize)             # <<<<<<<<<<<<<<
 *                 src_data += src_stride
 *                 dst_data += dst_stride
 */
        (void)(memcpy(__pyx_v_dst_data, __pyx_v_src_data, __pyx_v_itemsize));

        /* "View.MemoryView":1156
 *             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":1157
 *                 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":1149
 *     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":1159
 *                 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,
 */
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      __pyx_v_i = __pyx_t_5;

      /* "View.MemoryView":1160
 *     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,
 */
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      /* "View.MemoryView":1164
 *                                      src_shape + 1, dst_shape + 1,
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 *             src_data += src_stride             # <<<<<<<<<<<<<<
 *             dst_data += dst_stride
 * 
 */
      __pyx_v_src_data = (__pyx_v_src_data + __pyx_v_src_stride);

      /* "View.MemoryView":1165
 *                                      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
 * 
 * @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,
 *                                    Py_ssize_t *src_shape, Py_ssize_t *dst_shape,
 */

  /* function exit code */
}

/* "View.MemoryView":1167
 *             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":1170
 *                                   __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)
 * 
 */
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  /* "View.MemoryView":1167
 *             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
 * 
 * @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"
 *     cdef Py_ssize_t shape, size = src.memview.view.itemsize
 */

static Py_ssize_t __pyx_memoryview_slice_get_size(__Pyx_memviewslice *__pyx_v_src, int __pyx_v_ndim) {
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  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;

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 * 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]:
 */
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  /* "View.MemoryView":1178
 *     cdef Py_ssize_t shape, size = src.memview.view.itemsize
 * 
 *     for shape in src.shape[:ndim]:             # <<<<<<<<<<<<<<
 *         size *= shape
 * 
 */
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    /* "View.MemoryView":1179
 * 
 *     for shape in src.shape[:ndim]:
 *         size *= shape             # <<<<<<<<<<<<<<
 * 
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 */
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  /* "View.MemoryView":1181
 *         size *= shape
 * 
 *     return size             # <<<<<<<<<<<<<<
 * 
 * @cname('__pyx_fill_contig_strides_array')
 */
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  /* "View.MemoryView":1174
 * 
 * @cname('__pyx_memoryview_slice_get_size')
 * cdef Py_ssize_t slice_get_size(__Pyx_memviewslice *src, int ndim) noexcept nogil:             # <<<<<<<<<<<<<<
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 */

  /* function exit code */
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}

/* "View.MemoryView":1184
 * 
 * @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,
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 */

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;
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  int __pyx_t_2;
  int __pyx_t_3;
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  /* "View.MemoryView":1193
 *     cdef int idx
 * 
 *     if order == 'F':             # <<<<<<<<<<<<<<
 *         for idx in range(ndim):
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 */
  __pyx_t_1 = (__pyx_v_order == 'F');
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    /* "View.MemoryView":1194
 * 
 *     if order == 'F':
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 *             strides[idx] = stride
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      /* "View.MemoryView":1195
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      /* "View.MemoryView":1196
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    /* "View.MemoryView":1193
 *     cdef int idx
 * 
 *     if order == 'F':             # <<<<<<<<<<<<<<
 *         for idx in range(ndim):
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  /* "View.MemoryView":1198
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 *     else:
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 *             strides[idx] = stride
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      /* "View.MemoryView":1199
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 * 
 */
      (__pyx_v_strides[__pyx_v_idx]) = __pyx_v_stride;

      /* "View.MemoryView":1200
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 *             stride *= shape[idx]             # <<<<<<<<<<<<<<
 * 
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 */
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  /* "View.MemoryView":1202
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 * 
 *     return stride             # <<<<<<<<<<<<<<
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 * @cname('__pyx_memoryview_copy_data_to_temp')
 */
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  /* "View.MemoryView":1184
 * 
 * @cname('__pyx_fill_contig_strides_array')
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/* "View.MemoryView":1205
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 * @cname('__pyx_memoryview_copy_data_to_temp')
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  /* "View.MemoryView":1220
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    /* "View.MemoryView":1227
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 */
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 * 
 */
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 * 
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    /* "View.MemoryView":1234
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 *         if direct_copy:             # <<<<<<<<<<<<<<
 * 
 *             refcount_copying(&dst, dtype_is_object, ndim, inc=False)
 */
    if (__pyx_v_direct_copy) {

      /* "View.MemoryView":1317
 *         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":1318
 * 
 *             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":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)
 *             return 0
 */
      __pyx_memoryview_refcount_copying((&__pyx_v_dst), __pyx_v_dtype_is_object, __pyx_v_ndim, 1);

      /* "View.MemoryView":1320
 *             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":1321
 *             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":1315
 *             direct_copy = slice_is_contig(dst, 'F', ndim)
 * 
 *         if direct_copy:             # <<<<<<<<<<<<<<
 * 
 *             refcount_copying(&dst, dtype_is_object, ndim, inc=False)
 */
    }

    /* "View.MemoryView":1307
 *         src = tmp
 * 
 *     if not broadcasting:             # <<<<<<<<<<<<<<
 * 
 * 
 */
  }

  /* "View.MemoryView":1323
 *             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":1326
 * 
 * 
 *         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, 1326, __pyx_L1_error)

    /* "View.MemoryView":1327
 * 
 *         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, 1327, __pyx_L1_error)

    /* "View.MemoryView":1323
 *             return 0
 * 
 *     if order == 'F' == get_best_order(&dst, ndim):             # <<<<<<<<<<<<<<
 * 
 * 
 */
  }

  /* "View.MemoryView":1329
 *         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":1330
 * 
 *     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":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)             # <<<<<<<<<<<<<<
 * 
 *     free(tmpdata)
 */
  __pyx_memoryview_refcount_copying((&__pyx_v_dst), __pyx_v_dtype_is_object, __pyx_v_ndim, 1);

  /* "View.MemoryView":1333
 *     refcount_copying(&dst, dtype_is_object, ndim, inc=True)
 * 
 *     free(tmpdata)             # <<<<<<<<<<<<<<
 *     return 0
 * 
 */
  free(__pyx_v_tmpdata);

  /* "View.MemoryView":1334
 * 
 *     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,
 *                                   int src_ndim, int dst_ndim,
 */

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

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

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":1341
 *                             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":1343
 *     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":1344
 * 
 *     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":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->strides[(__pyx_v_i + __pyx_v_offset)]) = (__pyx_v_mslice->strides[__pyx_v_i]);

    /* "View.MemoryView":1346
 *         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":1348
 *         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":1349
 * 
 *     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":1350
 *     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":1351
 *         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
 * 
 * @cname('__pyx_memoryview_broadcast_leading')
 * cdef void broadcast_leading(__Pyx_memviewslice *mslice,             # <<<<<<<<<<<<<<
 *                             int ndim,
 *                             int ndim_other) noexcept nogil:
 */

  /* 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:             # <<<<<<<<<<<<<<
 * 
 *     if dtype_is_object:
 */

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":1361
 * 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":1362
 * 
 *     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":1361
 * 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:             # <<<<<<<<<<<<<<
 * 
 *     if dtype_is_object:
 */

  /* function exit code */
}

/* "View.MemoryView":1365
 * 
 * @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,
 *                                              bint inc) noexcept with gil:
 */

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) {
  #ifdef WITH_THREAD
  PyGILState_STATE __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
  #endif

  /* "View.MemoryView":1368
 *                                              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
 * 
 * @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,
 *                                              bint inc) noexcept with gil:
 */

  /* function exit code */
  #ifdef WITH_THREAD
  __Pyx_PyGILState_Release(__pyx_gilstate_save);
  #endif
}

/* "View.MemoryView":1371
 * 
 * @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:
 *     cdef Py_ssize_t i
 */

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":1374
 *                                     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":1376
 *     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":1377
 * 
 *     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":1378
 *     for i in range(shape[0]):
 *         if ndim == 1:
 *             if inc:             # <<<<<<<<<<<<<<
 *                 Py_INCREF((<PyObject **> data)[0])
 *             else:
 */
      if (__pyx_v_inc) {

        /* "View.MemoryView":1379
 *         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":1378
 *     for i in range(shape[0]):
 *         if ndim == 1:
 *             if inc:             # <<<<<<<<<<<<<<
 *                 Py_INCREF((<PyObject **> data)[0])
 *             else:
 */
        goto __pyx_L6;
      }

      /* "View.MemoryView":1381
 *                 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":1377
 * 
 *     for i in range(shape[0]):
 *         if ndim == 1:             # <<<<<<<<<<<<<<
 *             if inc:
 *                 Py_INCREF((<PyObject **> data)[0])
 */
      goto __pyx_L5;
    }

    /* "View.MemoryView":1383
 *                 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":1385
 *             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
 * 
 * @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:
 *     cdef Py_ssize_t i
 */

  /* 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,
 *                               bint dtype_is_object) noexcept nogil:
 */

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":1394
 *                               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":1395
 *                               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":1396
 *     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')
 * cdef void slice_assign_scalar(__Pyx_memviewslice *dst, int ndim,             # <<<<<<<<<<<<<<
 *                               size_t itemsize, void *item,
 *                               bint dtype_is_object) noexcept nogil:
 */

  /* function exit code */
}

/* "View.MemoryView":1400
 * 
 * @cname('__pyx_memoryview__slice_assign_scalar')
 * cdef void _slice_assign_scalar(char *data, Py_ssize_t *shape,             # <<<<<<<<<<<<<<
 *                               Py_ssize_t *strides, int ndim,
 *                               size_t itemsize, void *item) noexcept nogil:
 */

static void __pyx_memoryview__slice_assign_scalar(char *__pyx_v_data, Py_ssize_t *__pyx_v_shape, Py_ssize_t *__pyx_v_strides, int __pyx_v_ndim, size_t __pyx_v_itemsize, void *__pyx_v_item) {
  CYTHON_UNUSED Py_ssize_t __pyx_v_i;
  Py_ssize_t __pyx_v_stride;
  Py_ssize_t __pyx_v_extent;
  int __pyx_t_1;
  Py_ssize_t __pyx_t_2;
  Py_ssize_t __pyx_t_3;
  Py_ssize_t __pyx_t_4;

  /* "View.MemoryView":1404
 *                               size_t itemsize, void *item) noexcept nogil:
 *     cdef Py_ssize_t i
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/* "../../../../tmp/build-env-n63ct9vf/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":1040
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 * 
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 *     Cython equivalent of `isinstance(obj, np.timedelta64)`
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static CYTHON_INLINE int __pyx_f_5numpy_is_timedelta64_object(PyObject *__pyx_v_obj) {
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 * 
 * 
 * cdef inline bint is_timedelta64_object(object obj) noexcept:             # <<<<<<<<<<<<<<
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 *     Cython equivalent of `isinstance(obj, np.timedelta64)`
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/* "../../../../tmp/build-env-n63ct9vf/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":1055
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 * cdef inline bint is_datetime64_object(object obj) noexcept:             # <<<<<<<<<<<<<<
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 *     Cython equivalent of `isinstance(obj, np.datetime64)`
 */

static CYTHON_INLINE int __pyx_f_5numpy_is_datetime64_object(PyObject *__pyx_v_obj) {
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 *     bool
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 * 
 * 
 */
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 * cdef inline bint is_datetime64_object(object obj) noexcept:             # <<<<<<<<<<<<<<
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/* "../../../../tmp/build-env-n63ct9vf/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":1070
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 */

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 * 
 * 
 * cdef inline npy_datetime get_datetime64_value(object obj) noexcept nogil:             # <<<<<<<<<<<<<<
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 *     returns the int64 value underlying scalar numpy datetime64 object
 */

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/* "../../../../tmp/build-env-n63ct9vf/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":1080
 * 
 * 
 * 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) {
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  /* "../../../../tmp/build-env-n63ct9vf/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":1084
 *     returns the int64 value underlying scalar numpy timedelta64 object
 *     """
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 * 
 */
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  /* "../../../../tmp/build-env-n63ct9vf/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":1080
 * 
 * 
 * cdef inline npy_timedelta get_timedelta64_value(object obj) noexcept nogil:             # <<<<<<<<<<<<<<
 *     """
 *     returns the int64 value underlying scalar numpy timedelta64 object
 */

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/* "../../../../tmp/build-env-n63ct9vf/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":1087
 * 
 * 
 * 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-n63ct9vf/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":1091
 *     returns the unit part of the dtype for a numpy datetime64 object.
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 *     return <NPY_DATETIMEUNIT>(<PyDatetimeScalarObject*>obj).obmeta.base             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_r = ((NPY_DATETIMEUNIT)((PyDatetimeScalarObject *)__pyx_v_obj)->obmeta.base);
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  /* "../../../../tmp/build-env-n63ct9vf/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":1087
 * 
 * 
 * cdef inline NPY_DATETIMEUNIT get_datetime64_unit(object obj) noexcept nogil:             # <<<<<<<<<<<<<<
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 *     returns the unit part of the dtype for a numpy datetime64 object.
 */

  /* function exit code */
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/* "statsmodels/src/math.pxd":13
 *     np.npy_cdouble npy_cexp(np.npy_cdouble z) noexcept nogil
 * 
 * cdef inline np.float64_t zabs(np.complex128_t z) noexcept nogil:             # <<<<<<<<<<<<<<
 *     cdef np.npy_cdouble 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) {
  npy_cdouble __pyx_v_x;
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  /* "statsmodels/src/math.pxd":15
 * cdef inline np.float64_t zabs(np.complex128_t z) noexcept nogil:
 *     cdef np.npy_cdouble x
 *     memcpy(&x, &z, sizeof(z))             # <<<<<<<<<<<<<<
 *     return npy_cabs(x)
 * 
 */
  (void)(memcpy((&__pyx_v_x), (&__pyx_v_z), (sizeof(__pyx_v_z))));

  /* "statsmodels/src/math.pxd":16
 *     cdef np.npy_cdouble x
 *     memcpy(&x, &z, sizeof(z))
 *     return npy_cabs(x)             # <<<<<<<<<<<<<<
 * 
 * cdef inline np.complex128_t zlog(np.complex128_t z) noexcept nogil:
 */
  __pyx_r = npy_cabs(__pyx_v_x);
  goto __pyx_L0;

  /* "statsmodels/src/math.pxd":13
 *     np.npy_cdouble npy_cexp(np.npy_cdouble z) noexcept nogil
 * 
 * cdef inline np.float64_t zabs(np.complex128_t z) noexcept nogil:             # <<<<<<<<<<<<<<
 *     cdef np.npy_cdouble x
 *     memcpy(&x, &z, sizeof(z))
 */

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

/* "statsmodels/src/math.pxd":18
 *     return npy_cabs(x)
 * 
 * cdef inline np.complex128_t zlog(np.complex128_t z) noexcept nogil:             # <<<<<<<<<<<<<<
 *     cdef np.npy_cdouble 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) {
  npy_cdouble __pyx_v_x;
  __pyx_t_double_complex __pyx_v_out;
  __pyx_t_double_complex __pyx_r;

  /* "statsmodels/src/math.pxd":21
 *     cdef np.npy_cdouble x
 *     cdef np.complex128_t out
 *     memcpy(&x, &z, sizeof(z))             # <<<<<<<<<<<<<<
 *     x = npy_clog(x)
 *     memcpy(&out, &x, sizeof(x))
 */
  (void)(memcpy((&__pyx_v_x), (&__pyx_v_z), (sizeof(__pyx_v_z))));

  /* "statsmodels/src/math.pxd":22
 *     cdef np.complex128_t out
 *     memcpy(&x, &z, sizeof(z))
 *     x = npy_clog(x)             # <<<<<<<<<<<<<<
 *     memcpy(&out, &x, sizeof(x))
 *     return out
 */
  __pyx_v_x = npy_clog(__pyx_v_x);

  /* "statsmodels/src/math.pxd":23
 *     memcpy(&x, &z, sizeof(z))
 *     x = npy_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":24
 *     x = npy_clog(x)
 *     memcpy(&out, &x, sizeof(x))
 *     return out             # <<<<<<<<<<<<<<
 * 
 * cdef inline np.complex128_t zexp(np.complex128_t z) noexcept nogil:
 */
  __pyx_r = __pyx_v_out;
  goto __pyx_L0;

  /* "statsmodels/src/math.pxd":18
 *     return npy_cabs(x)
 * 
 * cdef inline np.complex128_t zlog(np.complex128_t z) noexcept nogil:             # <<<<<<<<<<<<<<
 *     cdef np.npy_cdouble x
 *     cdef np.complex128_t out
 */

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

/* "statsmodels/src/math.pxd":26
 *     return out
 * 
 * cdef inline np.complex128_t zexp(np.complex128_t z) noexcept nogil:             # <<<<<<<<<<<<<<
 *     cdef np.npy_cdouble 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) {
  npy_cdouble __pyx_v_x;
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  __pyx_t_double_complex __pyx_r;

  /* "statsmodels/src/math.pxd":29
 *     cdef np.npy_cdouble x
 *     cdef np.complex128_t out
 *     memcpy(&x, &z, sizeof(z))             # <<<<<<<<<<<<<<
 *     x = npy_cexp(x)
 *     memcpy(&out, &x, sizeof(x))
 */
  (void)(memcpy((&__pyx_v_x), (&__pyx_v_z), (sizeof(__pyx_v_z))));

  /* "statsmodels/src/math.pxd":30
 *     cdef np.complex128_t out
 *     memcpy(&x, &z, sizeof(z))
 *     x = npy_cexp(x)             # <<<<<<<<<<<<<<
 *     memcpy(&out, &x, sizeof(x))
 *     return out
 */
  __pyx_v_x = npy_cexp(__pyx_v_x);

  /* "statsmodels/src/math.pxd":31
 *     memcpy(&x, &z, sizeof(z))
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 *     return out
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 */
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  /* "statsmodels/src/math.pxd":26
 *     return out
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 * cdef inline np.complex128_t zexp(np.complex128_t z) noexcept nogil:             # <<<<<<<<<<<<<<
 *     cdef np.npy_cdouble x
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/* "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) {
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  __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;

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 * 
 *     # 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 * NPY_PI * forecast_error_diffuse_cov)))
 */
      (__pyx_v_kfilter->_loglikelihood[0]) = ((__pyx_v_kfilter->_loglikelihood[0]) - (0.5 * log(((2.0 * NPY_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 * NPY_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 * NPY_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 * NPY_PI * forecast_error_cov)))
 */
        (__pyx_v_kfilter->_loglikelihood[0]) = ((__pyx_v_kfilter->_loglikelihood[0]) - (0.5 * log(((2.0 * NPY_PI) * __pyx_v_forecast_error_cov))));

        /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":159
 *                         dlog(2 * NPY_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 * NPY_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 * NPY_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
 */
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  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":216
 *         int inc = 1
 *         int i, j
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 *         np.float32_t beta = 0.0
 *         np.float32_t gamma = -1.0
 */
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  /* "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
 * 
 */
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  /* "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)
 */
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  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":220
 *         np.float32_t gamma = -1.0
 * 
 *     spredicted_state(kfilter, model)             # <<<<<<<<<<<<<<
 *     spredicted_state_cov(kfilter, model)
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 */
  __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)

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":221
 * 
 *     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_cov(__pyx_v_kfilter, __pyx_v_model); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 221, __pyx_L1_error)

  /* "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
 */
  __pyx_f_11statsmodels_3tsa_10statespace_8_filters_19_univariate_diffuse_spredicted_diffuse_state_cov(__pyx_v_kfilter, __pyx_v_model); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 222, __pyx_L1_error)

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":224
 *     spredicted_diffuse_state_cov(kfilter, model)
 * 
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_r = 0;
  goto __pyx_L0;

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

  /* function exit code */
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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;
  __pyx_t_5numpy_float32_t __pyx_v_alpha;
  __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:
 *         int inc = 1
 *         np.float32_t alpha = 1.0             # <<<<<<<<<<<<<<
 *         np.float32_t beta = 0.0
 * 
 */
  __pyx_v_alpha = 1.0;

  /* "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
 *     # copy over the predicted diffuse state cov
 *     if model._nmissing == model.k_endog:             # <<<<<<<<<<<<<<
 *         blas.scopy(&kfilter.k_states2, kfilter._input_diffuse_state_cov, &inc,
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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) {
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  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":255
 * # Note: updating, inverse, loglikelihood are all performed in prior steps
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 *     return 0             # <<<<<<<<<<<<<<
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 */
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  /* "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):             # <<<<<<<<<<<<<<
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 * 
 */

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

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 * 
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 * cdef np.float32_t sloglikelihood_univariate_diffuse(sKalmanFilter kfilter, sStatespace model, np.float32_t determinant):
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 *     return 0
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 * cdef np.float32_t sinverse_noop_univariate_diffuse(sKalmanFilter kfilter, sStatespace model, np.float32_t determinant) except *:             # <<<<<<<<<<<<<<
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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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  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":261
 * 
 * cdef np.float32_t sloglikelihood_univariate_diffuse(sKalmanFilter kfilter, sStatespace model, np.float32_t determinant):
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 * 
 * 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):             # <<<<<<<<<<<<<<
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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) {
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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
 */
  __pyx_v_alpha = 1.0;

  /* "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) {
    __pyx_v_i = __pyx_t_3;

    /* "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}
 */
    __pyx_f_11statsmodels_3tsa_10statespace_8_filters_11_univariate_dforecast_error(__pyx_v_kfilter, __pyx_v_model, __pyx_v_i); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 294, __pyx_L1_error)

    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":297
 * 
 *         # 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)
    __pyx_v_forecast_error_cov = __pyx_t_4;

    /* "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
 */
    __pyx_t_5 = (__pyx_v_forecast_error_cov < 0.0);
    if (__pyx_t_5) {

      /* "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
 * 
 */
      (__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":300
 *         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":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 * NPY_PI * forecast_error_diffuse_cov)))
 */
      (__pyx_v_kfilter->_loglikelihood[0]) = ((__pyx_v_kfilter->_loglikelihood[0]) - (0.5 * log(((2.0 * NPY_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 * NPY_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 * NPY_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 * NPY_PI * forecast_error_cov)))
 */
        (__pyx_v_kfilter->_loglikelihood[0]) = ((__pyx_v_kfilter->_loglikelihood[0]) - (0.5 * log(((2.0 * NPY_PI) * __pyx_v_forecast_error_cov))));

        /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":400
 *                         dlog(2 * NPY_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 * NPY_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 * NPY_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)
 *     )
 */
  __pyx_v_forecast_error_diffuse_cov = __pyx_f_5scipy_6linalg_11cython_blas_ddot((&__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":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
 */
  __pyx_v_inc = 1;

  /* "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
 */
  __pyx_v_alpha = 1.0;

  /* "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
 * 
 */
  __pyx_v_beta = 0.0;

  /* "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)
 */
  __pyx_v_gamma = -1.0;

  /* "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)
 */
  __pyx_f_11statsmodels_3tsa_10statespace_8_filters_11_univariate_dpredicted_state(__pyx_v_kfilter, __pyx_v_model); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 461, __pyx_L1_error)

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

/* "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
 */
  __pyx_v_inc = 1;

  /* "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)
 */
  __pyx_t_1 = (__pyx_v_model->_nmissing == __pyx_v_model->k_endog);
  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)
 * 
 */
    __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":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)
 */
  }

  /* "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 *:
 */
  __pyx_r = 0;
  goto __pyx_L0;

  /* "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:;
  return __pyx_r;
}

/* "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 *:             # <<<<<<<<<<<<<<
 *     return -np.inf
 * 
 */

static __pyx_t_5numpy_float64_t __pyx_f_11statsmodels_3tsa_10statespace_8_filters_19_univariate_diffuse_dinverse_noop_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":499
 * 
 * cdef np.float64_t dinverse_noop_univariate_diffuse(dKalmanFilter kfilter, dStatespace model, np.float64_t determinant) except *:
 *     return -np.inf             # <<<<<<<<<<<<<<
 * 
 * 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 *:             # <<<<<<<<<<<<<<
 *     return -np.inf
 * 
 */

  /* function exit code */
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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) {
  __pyx_t_5numpy_float64_t __pyx_r;

  /* "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 (
 */
  __pyx_r = 0.0;
  goto __pyx_L0;

  /* "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
 * 
 */

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

/* "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) {
  int __pyx_v_i;
  int __pyx_v_j;
  int __pyx_v_inc;
  __pyx_t_float_complex __pyx_v_forecast_error_cov;
  __pyx_t_float_complex __pyx_v_forecast_error_cov_inv;
  __pyx_t_float_complex __pyx_v_forecast_error_diffuse_cov;
  __pyx_t_float_complex __pyx_v_forecast_error_diffuse_cov_inv;
  __pyx_t_float_complex __pyx_v_F1;
  __pyx_t_float_complex __pyx_v_F12;
  __pyx_t_float_complex __pyx_v_alpha;
  __pyx_t_float_complex __pyx_v_beta;
  __pyx_t_float_complex __pyx_v_gamma;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  __pyx_t_float_complex __pyx_t_4;
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  __pyx_t_double_complex __pyx_t_8;
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  int __pyx_t_10;
  int __pyx_t_11;
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  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;

  /* "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
 */
  __pyx_v_alpha = __pyx_t_float_complex_from_parts(1.0, 0);

  /* "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
 * 
 */
  __pyx_v_beta = __pyx_t_float_complex_from_parts(0.0, 0);

  /* "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;
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    /* "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));
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      __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));
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      __pyx_t_6 = __Pyx_c_quot_double(__pyx_t_8, __pyx_t_7);
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      /* "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):
 */
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      {
          __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;
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          }
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      /* "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));
      }

      /* "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)
 * 
 */
      if (unlikely(!__pyx_v_kfilter->tmpL1.memview)) {PyErr_SetString(PyExc_AttributeError,"Memoryview is not initialized");__PYX_ERR(0, 577, __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->tmpL1.shape[0] * __pyx_v_kfilter->tmpL1.shape[1];
              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":604
 *             kfilter._loglikelihood[0] = (
 *                 kfilter._loglikelihood[0] - 0.5*(
 *                     zlog(2 * NPY_PI * forecast_error_diffuse_cov)))             # <<<<<<<<<<<<<<
 *         elif forecast_error_cov.real > kfilter.tolerance_diffuse:
 *             kfilter.nobs_kendog_diffuse_nonsingular = kfilter.nobs_kendog_diffuse_nonsingular + 1
 */
      __pyx_t_12 = __Pyx_c_prod_npy_float64(__pyx_t_npy_float64_complex_from_parts((2.0 * NPY_PI), 0), __pyx_t_npy_float64_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":603
 *             # Loglikelihood
 *             kfilter._loglikelihood[0] = (
 *                 kfilter._loglikelihood[0] - 0.5*(             # <<<<<<<<<<<<<<
 *                     zlog(2 * NPY_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_t_double_complex_from_parts(__Pyx_CREAL_CyTypedef(__pyx_t_12), __Pyx_CIMAG_CyTypedef(__pyx_t_12)))));

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":602
 * 
 *             # Loglikelihood
 *             kfilter._loglikelihood[0] = (             # <<<<<<<<<<<<<<
 *                 kfilter._loglikelihood[0] - 0.5*(
 *                     zlog(2 * NPY_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 * NPY_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 * NPY_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":639
 *                 kfilter._loglikelihood[0] = (
 *                     kfilter._loglikelihood[0] - 0.5*(
 *                         zlog(2 * NPY_PI * forecast_error_cov)))             # <<<<<<<<<<<<<<
 * 
 *                 if kfilter.filter_method & FILTER_CONCENTRATED:
 */
        __pyx_t_12 = __Pyx_c_prod_npy_float64(__pyx_t_npy_float64_complex_from_parts((2.0 * NPY_PI), 0), __pyx_t_npy_float64_complex_from_parts(__Pyx_CREAL(__pyx_v_forecast_error_cov), __Pyx_CIMAG(__pyx_v_forecast_error_cov)));

        /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":638
 *             if not forecast_error_cov == 0:
 *                 kfilter._loglikelihood[0] = (
 *                     kfilter._loglikelihood[0] - 0.5*(             # <<<<<<<<<<<<<<
 *                         zlog(2 * NPY_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_t_double_complex_from_parts(__Pyx_CREAL_CyTypedef(__pyx_t_12), __Pyx_CIMAG_CyTypedef(__pyx_t_12)))));

        /* "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 * NPY_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 * NPY_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 * NPY_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 * NPY_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)
 */
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 * 
 *     cpredicted_state(kfilter, model)
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 *     cpredicted_diffuse_state_cov(kfilter, model)
 * 
 */
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 *     cpredicted_state(kfilter, model)
 *     cpredicted_state_cov(kfilter, model)
 *     cpredicted_diffuse_state_cov(kfilter, model)             # <<<<<<<<<<<<<<
 * 
 *     return 0
 */
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  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":707
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 * 
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * 
 */
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  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":694
 * 
 * 
 * cdef int cprediction_univariate_diffuse(cKalmanFilter kfilter, cStatespace model):             # <<<<<<<<<<<<<<
 *     # Constants
 *     cdef:
 */

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

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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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 * 
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 *     return -np.inf             # <<<<<<<<<<<<<<
 * 
 * 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 *:             # <<<<<<<<<<<<<<
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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:
 */

static int __pyx_f_11statsmodels_3tsa_10statespace_8_filters_19_univariate_diffuse_zforecast_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) {
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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,
 */
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  /* "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,
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  /* "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)
 * 
 */
  __pyx_f_5scipy_6linalg_11cython_blas_zcopy((&__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":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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 * 
 *         # 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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 *         # 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:
 *             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":783
 *         if forecast_error_cov.real < 0:
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 *             forecast_error_cov = 0             # <<<<<<<<<<<<<<
 * 
 *         # Save temporary array data
 */
      __pyx_v_forecast_error_cov = __pyx_t_double_complex_from_parts(0, 0);

      /* "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
 */
    }

    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":786
 * 
 *         # 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)
 */
    __pyx_t_5 = (!(__Pyx_c_eq_double(__pyx_v_forecast_error_cov, __pyx_t_double_complex_from_parts(0, 0))));
    if (__pyx_t_5) {

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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)
 * 
 */
      __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, 787, __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":788
 *         if not forecast_error_cov == 0:
 *             forecast_error_cov_inv = 1.0 / forecast_error_cov
 *             ztemp_arrays(kfilter, model, i, forecast_error_cov_inv)             # <<<<<<<<<<<<<<
 * 
 *         # F_{\infty,t}
 */
      __pyx_f_11statsmodels_3tsa_10statespace_8_filters_11_univariate_ztemp_arrays(__pyx_v_kfilter, __pyx_v_model, __pyx_v_i, __pyx_v_forecast_error_cov_inv); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 788, __pyx_L1_error)

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":786
 * 
 *         # 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)
 */
    }

    /* "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:
 *             kfilter._forecast_error_diffuse_cov[i + i*kfilter.k_endog] = 0
 */
    __pyx_t_4 = __pyx_f_11statsmodels_3tsa_10statespace_8_filters_19_univariate_diffuse_zforecast_error_diffuse_cov(__pyx_v_kfilter, __pyx_v_model, __pyx_v_i); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 791, __pyx_L1_error)
    __pyx_v_forecast_error_diffuse_cov = __pyx_t_4;

    /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":792
 *         # 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
 */
    __pyx_t_5 = (__Pyx_CREAL(__pyx_v_forecast_error_diffuse_cov) < 0.0);
    if (__pyx_t_5) {

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":793
 *         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
 * 
 */
      (__pyx_v_kfilter->_forecast_error_diffuse_cov[(__pyx_v_i + (__pyx_v_i * __pyx_v_kfilter->k_endog))]) = __pyx_t_double_complex_from_parts(0, 0);

      /* "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
 */
      __pyx_v_forecast_error_diffuse_cov = __pyx_t_double_complex_from_parts(0, 0);

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":792
 *         # 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
 */
    }

    /* "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
 * 
 */
    __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":798
 *         # 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_4 = __pyx_t_double_complex_from_parts(1.0, 0);
      if (unlikely(__Pyx_c_is_zero_double(__pyx_v_forecast_error_diffuse_cov))) {
        PyErr_SetString(PyExc_ZeroDivisionError, "float division");
        __PYX_ERR(0, 798, __pyx_L1_error)
      }
      __pyx_v_forecast_error_diffuse_cov_inv = __Pyx_c_quot_double(__pyx_t_4, __pyx_v_forecast_error_diffuse_cov);

      /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":800
 *             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":846
 *             kfilter._loglikelihood[0] = (
 *                 kfilter._loglikelihood[0] - 0.5*(
 *                     zlog(2 * NPY_PI * forecast_error_diffuse_cov)))             # <<<<<<<<<<<<<<
 *         elif forecast_error_cov.real > kfilter.tolerance_diffuse:
 *             kfilter.nobs_kendog_diffuse_nonsingular = kfilter.nobs_kendog_diffuse_nonsingular + 1
 */
      __pyx_t_9 = __Pyx_c_prod_npy_float64(__pyx_t_npy_float64_complex_from_parts((2.0 * NPY_PI), 0), __pyx_t_npy_float64_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":844
 * 
 *             # Loglikelihood
 *             kfilter._loglikelihood[0] = (             # <<<<<<<<<<<<<<
 *                 kfilter._loglikelihood[0] - 0.5*(
 *                     zlog(2 * NPY_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_t_double_complex_from_parts(__Pyx_CREAL_CyTypedef(__pyx_t_9), __Pyx_CIMAG_CyTypedef(__pyx_t_9)))));

      /* "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 * NPY_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 * NPY_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":881
 *                 kfilter._loglikelihood[0] = (
 *                     kfilter._loglikelihood[0] - 0.5*(
 *                         zlog(2 * NPY_PI * forecast_error_cov)))             # <<<<<<<<<<<<<<
 * 
 *                 if kfilter.filter_method & FILTER_CONCENTRATED:
 */
        __pyx_t_9 = __Pyx_c_prod_npy_float64(__pyx_t_npy_float64_complex_from_parts((2.0 * NPY_PI), 0), __pyx_t_npy_float64_complex_from_parts(__Pyx_CREAL(__pyx_v_forecast_error_cov), __Pyx_CIMAG(__pyx_v_forecast_error_cov)));

        /* "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 * NPY_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_t_double_complex_from_parts(__Pyx_CREAL_CyTypedef(__pyx_t_9), __Pyx_CIMAG_CyTypedef(__pyx_t_9)))));

        /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":883
 *                         zlog(2 * NPY_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 * NPY_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 * NPY_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             # <<<<<<<<<<<<<<
 * 
 * 
 */
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  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
 */
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  /* "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
 */
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  /* "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
 * 
 */
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  /* "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)
 */
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  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":945
 *         np.complex128_t gamma = -1.0
 * 
 *     zpredicted_state(kfilter, model)             # <<<<<<<<<<<<<<
 *     zpredicted_state_cov(kfilter, model)
 *     zpredicted_diffuse_state_cov(kfilter, model)
 */
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 * 
 *     zpredicted_state(kfilter, model)
 *     zpredicted_state_cov(kfilter, model)             # <<<<<<<<<<<<<<
 *     zpredicted_diffuse_state_cov(kfilter, model)
 * 
 */
  __pyx_f_11statsmodels_3tsa_10statespace_8_filters_11_univariate_zpredicted_state_cov(__pyx_v_kfilter, __pyx_v_model); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 946, __pyx_L1_error)

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":947
 *     zpredicted_state(kfilter, model)
 *     zpredicted_state_cov(kfilter, model)
 *     zpredicted_diffuse_state_cov(kfilter, model)             # <<<<<<<<<<<<<<
 * 
 *     return 0
 */
  __pyx_f_11statsmodels_3tsa_10statespace_8_filters_19_univariate_diffuse_zpredicted_diffuse_state_cov(__pyx_v_kfilter, __pyx_v_model); if (unlikely(PyErr_Occurred())) __PYX_ERR(0, 947, __pyx_L1_error)

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":949
 *     zpredicted_diffuse_state_cov(kfilter, model)
 * 
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * 
 */
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  goto __pyx_L0;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":936
 * 
 * 
 * cdef int zprediction_univariate_diffuse(zKalmanFilter kfilter, zStatespace model):             # <<<<<<<<<<<<<<
 *     # Constants
 *     cdef:
 */

  /* function exit code */
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/* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":952
 * 
 * 
 * cdef void zpredicted_diffuse_state_cov(zKalmanFilter kfilter, zStatespace model):             # <<<<<<<<<<<<<<
 *     cdef:
 *         int inc = 1
 */

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 *__pyx_v_kfilter, struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_zStatespace *__pyx_v_model) {
  int __pyx_v_inc;
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  __pyx_t_double_complex __pyx_v_beta;
  int __pyx_t_1;

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":954
 * cdef void zpredicted_diffuse_state_cov(zKalmanFilter kfilter, zStatespace model):
 *     cdef:
 *         int inc = 1             # <<<<<<<<<<<<<<
 *         np.complex128_t alpha = 1.0
 *         np.complex128_t beta = 0.0
 */
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  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":955
 *     cdef:
 *         int inc = 1
 *         np.complex128_t alpha = 1.0             # <<<<<<<<<<<<<<
 *         np.complex128_t beta = 0.0
 * 
 */
  __pyx_v_alpha = __pyx_t_double_complex_from_parts(1.0, 0);

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":956
 *         int inc = 1
 *         np.complex128_t alpha = 1.0
 *         np.complex128_t beta = 0.0             # <<<<<<<<<<<<<<
 * 
 *     # Need special handling for the completely missing case, since the
 */
  __pyx_v_beta = __pyx_t_double_complex_from_parts(0.0, 0);

  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":961
 *     # 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.zcopy(&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":962
 *     # copy over the predicted diffuse state cov
 *     if model._nmissing == model.k_endog:
 *         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":961
 *     # 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.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":966
 * 
 *     # P_t1_inf[:] = np.dot(np.dot(T, P_t_inf), T.T)
 *     blas.zgemm("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_zgemm(((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":972
 *     # $P_{t+1} = 1.0 \\#_0 T_t' + 1.0 \\#$
 *     # $(m \times m) = (m \times m) (m \times m) + (m \times m)$
 *     blas.zgemm("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_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_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":952
 * 
 * 
 * cdef void zpredicted_diffuse_state_cov(zKalmanFilter kfilter, zStatespace model):             # <<<<<<<<<<<<<<
 *     cdef:
 *         int inc = 1
 */

  /* function exit code */
}

/* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":979
 * 
 * # Note: updating, inverse, loglikelihood are all performed in prior steps
 * cdef int zupdating_univariate_diffuse(zKalmanFilter kfilter, zStatespace model):             # <<<<<<<<<<<<<<
 *     return 0
 * 
 */

static int __pyx_f_11statsmodels_3tsa_10statespace_8_filters_19_univariate_diffuse_zupdating_univariate_diffuse(CYTHON_UNUSED struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_zKalmanFilter *__pyx_v_kfilter, CYTHON_UNUSED struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_zStatespace *__pyx_v_model) {
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  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":980
 * # Note: updating, inverse, loglikelihood are all performed in prior steps
 * cdef int zupdating_univariate_diffuse(zKalmanFilter kfilter, zStatespace model):
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * cdef np.complex128_t zinverse_noop_univariate_diffuse(zKalmanFilter kfilter, zStatespace model, np.complex128_t determinant) except *:
 */
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  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":979
 * 
 * # Note: updating, inverse, loglikelihood are all performed in prior steps
 * cdef int zupdating_univariate_diffuse(zKalmanFilter kfilter, zStatespace model):             # <<<<<<<<<<<<<<
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 */

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/* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":982
 *     return 0
 * 
 * cdef np.complex128_t zinverse_noop_univariate_diffuse(zKalmanFilter kfilter, zStatespace model, np.complex128_t determinant) except *:             # <<<<<<<<<<<<<<
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 * cdef np.complex128_t zloglikelihood_univariate_diffuse(zKalmanFilter kfilter, zStatespace model, np.complex128_t determinant):
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 * 
 * cdef np.complex128_t zinverse_noop_univariate_diffuse(zKalmanFilter kfilter, zStatespace model, np.complex128_t determinant) except *:             # <<<<<<<<<<<<<<
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/* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":985
 *     return -np.inf
 * 
 * cdef np.complex128_t zloglikelihood_univariate_diffuse(zKalmanFilter kfilter, zStatespace model, np.complex128_t determinant):             # <<<<<<<<<<<<<<
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 */

static __pyx_t_double_complex __pyx_f_11statsmodels_3tsa_10statespace_8_filters_19_univariate_diffuse_zloglikelihood_univariate_diffuse(CYTHON_UNUSED struct __pyx_obj_11statsmodels_3tsa_10statespace_14_kalman_filter_zKalmanFilter *__pyx_v_kfilter, CYTHON_UNUSED struct __pyx_obj_11statsmodels_3tsa_10statespace_15_representation_zStatespace *__pyx_v_model, CYTHON_UNUSED __pyx_t_double_complex __pyx_v_determinant) {
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 * 
 * cdef np.complex128_t zloglikelihood_univariate_diffuse(zKalmanFilter kfilter, zStatespace model, np.complex128_t determinant):
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  /* "statsmodels/tsa/statespace/_filters/_univariate_diffuse.pyx":985
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 * 
 * cdef np.complex128_t zloglikelihood_univariate_diffuse(zKalmanFilter kfilter, zStatespace model, np.complex128_t determinant):             # <<<<<<<<<<<<<<
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  allocfunc alloc_func = (allocfunc)PyType_GetSlot(t, Py_tp_alloc);
  o = alloc_func(t, 0);
  #else
  if (likely(!__Pyx_PyType_HasFeature(t, Py_TPFLAGS_IS_ABSTRACT))) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  #endif
  p = ((struct __pyx_array_obj *)o);
  p->__pyx_vtab = __pyx_vtabptr_array;
  p->mode = ((PyObject*)Py_None); Py_INCREF(Py_None);
  p->_format = ((PyObject*)Py_None); Py_INCREF(Py_None);
  if (unlikely(__pyx_array___cinit__(o, a, k) < 0)) goto bad;
  return o;
  bad:
  Py_DECREF(o); o = 0;
  return NULL;
}

static void __pyx_tp_dealloc_array(PyObject *o) {
  struct __pyx_array_obj *p = (struct __pyx_array_obj *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely((PY_VERSION_HEX >= 0x03080000 || __Pyx_PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE)) && __Pyx_PyObject_GetSlot(o, tp_finalize, destructor)) && (!PyType_IS_GC(Py_TYPE(o)) || !__Pyx_PyObject_GC_IsFinalized(o))) {
    if (__Pyx_PyObject_GetSlot(o, tp_dealloc, destructor) == __pyx_tp_dealloc_array) {
      if (PyObject_CallFinalizerFromDealloc(o)) return;
    }
  }
  #endif
  {
    PyObject *etype, *eval, *etb;
    PyErr_Fetch(&etype, &eval, &etb);
    __Pyx_SET_REFCNT(o, Py_REFCNT(o) + 1);
    __pyx_array___dealloc__(o);
    __Pyx_SET_REFCNT(o, Py_REFCNT(o) - 1);
    PyErr_Restore(etype, eval, etb);
  }
  Py_CLEAR(p->mode);
  Py_CLEAR(p->_format);
  #if CYTHON_USE_TYPE_SLOTS || CYTHON_COMPILING_IN_PYPY
  (*Py_TYPE(o)->tp_free)(o);
  #else
  {
    freefunc tp_free = (freefunc)PyType_GetSlot(Py_TYPE(o), Py_tp_free);
    if (tp_free) tp_free(o);
  }
  #endif
}
static PyObject *__pyx_sq_item_array(PyObject *o, Py_ssize_t i) {
  PyObject *r;
  PyObject *x = PyInt_FromSsize_t(i); if(!x) return 0;
  r = Py_TYPE(o)->tp_as_mapping->mp_subscript(o, x);
  Py_DECREF(x);
  return r;
}

static int __pyx_mp_ass_subscript_array(PyObject *o, PyObject *i, PyObject *v) {
  if (v) {
    return __pyx_array___setitem__(o, i, v);
  }
  else {
    __Pyx_TypeName o_type_name;
    o_type_name = __Pyx_PyType_GetName(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_tp_getattro_array(PyObject *o, PyObject *n) {
  PyObject *v = __Pyx_PyObject_GenericGetAttr(o, n);
  if (!v && PyErr_ExceptionMatches(PyExc_AttributeError)) {
    PyErr_Clear();
    v = __pyx_array___getattr__(o, n);
  }
  return v;
}

static PyObject *__pyx_getprop___pyx_array_memview(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_5array_7memview_1__get__(o);
}

static PyMethodDef __pyx_methods_array[] = {
  {"__getattr__", (PyCFunction)__pyx_array___getattr__, METH_O|METH_COEXIST, 0},
  {"__reduce_cython__", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw___pyx_array_1__reduce_cython__, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {"__setstate_cython__", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw___pyx_array_3__setstate_cython__, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_array[] = {
  {(char *)"memview", __pyx_getprop___pyx_array_memview, 0, (char *)0, 0},
  {0, 0, 0, 0, 0}
};
#if CYTHON_USE_TYPE_SPECS
#if !CYTHON_COMPILING_IN_LIMITED_API

static PyBufferProcs __pyx_tp_as_buffer_array = {
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getreadbuffer*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getwritebuffer*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getsegcount*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getcharbuffer*/
  #endif
  __pyx_array_getbuffer, /*bf_getbuffer*/
  0, /*bf_releasebuffer*/
};
#endif
static PyType_Slot __pyx_type___pyx_array_slots[] = {
  {Py_tp_dealloc, (void *)__pyx_tp_dealloc_array},
  {Py_sq_length, (void *)__pyx_array___len__},
  {Py_sq_item, (void *)__pyx_sq_item_array},
  {Py_mp_length, (void *)__pyx_array___len__},
  {Py_mp_subscript, (void *)__pyx_array___getitem__},
  {Py_mp_ass_subscript, (void *)__pyx_mp_ass_subscript_array},
  {Py_tp_getattro, (void *)__pyx_tp_getattro_array},
  #if defined(Py_bf_getbuffer)
  {Py_bf_getbuffer, (void *)__pyx_array_getbuffer},
  #endif
  {Py_tp_methods, (void *)__pyx_methods_array},
  {Py_tp_getset, (void *)__pyx_getsets_array},
  {Py_tp_new, (void *)__pyx_tp_new_array},
  {0, 0},
};
static PyType_Spec __pyx_type___pyx_array_spec = {
  "statsmodels.tsa.statespace._filters._univariate_diffuse.array",
  sizeof(struct __pyx_array_obj),
  0,
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_SEQUENCE,
  __pyx_type___pyx_array_slots,
};
#else

static PySequenceMethods __pyx_tp_as_sequence_array = {
  __pyx_array___len__, /*sq_length*/
  0, /*sq_concat*/
  0, /*sq_repeat*/
  __pyx_sq_item_array, /*sq_item*/
  0, /*sq_slice*/
  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_array = {
  __pyx_array___len__, /*mp_length*/
  __pyx_array___getitem__, /*mp_subscript*/
  __pyx_mp_ass_subscript_array, /*mp_ass_subscript*/
};

static PyBufferProcs __pyx_tp_as_buffer_array = {
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getreadbuffer*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getwritebuffer*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getsegcount*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getcharbuffer*/
  #endif
  __pyx_array_getbuffer, /*bf_getbuffer*/
  0, /*bf_releasebuffer*/
};

static PyTypeObject __pyx_type___pyx_array = {
  PyVarObject_HEAD_INIT(0, 0)
  "statsmodels.tsa.statespace._filters._univariate_diffuse.""array", /*tp_name*/
  sizeof(struct __pyx_array_obj), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_array, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  &__pyx_tp_as_sequence_array, /*tp_as_sequence*/
  &__pyx_tp_as_mapping_array, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  __pyx_tp_getattro_array, /*tp_getattro*/
  0, /*tp_setattro*/
  &__pyx_tp_as_buffer_array, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_SEQUENCE, /*tp_flags*/
  0, /*tp_doc*/
  0, /*tp_traverse*/
  0, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_array, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_array, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  #if !CYTHON_USE_TYPE_SPECS
  0, /*tp_dictoffset*/
  #endif
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_array, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  #if CYTHON_USE_TP_FINALIZE
  0, /*tp_finalize*/
  #else
  NULL, /*tp_finalize*/
  #endif
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!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;
  #if CYTHON_COMPILING_IN_LIMITED_API
  allocfunc alloc_func = (allocfunc)PyType_GetSlot(t, Py_tp_alloc);
  o = alloc_func(t, 0);
  #else
  if (likely(!__Pyx_PyType_HasFeature(t, Py_TPFLAGS_IS_ABSTRACT))) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  #endif
  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((PY_VERSION_HEX >= 0x03080000 || __Pyx_PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE)) && __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);
  #if CYTHON_USE_TYPE_SLOTS || CYTHON_COMPILING_IN_PYPY
  (*Py_TYPE(o)->tp_free)(o);
  #else
  {
    freefunc tp_free = (freefunc)PyType_GetSlot(Py_TYPE(o), Py_tp_free);
    if (tp_free) tp_free(o);
  }
  #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;
  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 PyObject *__pyx_specialmethod___pyx_MemviewEnum___repr__(PyObject *self, CYTHON_UNUSED PyObject *arg) {
  return __pyx_MemviewEnum___repr__(self);
}

static PyMethodDef __pyx_methods_Enum[] = {
  {"__repr__", (PyCFunction)__pyx_specialmethod___pyx_MemviewEnum___repr__, METH_NOARGS|METH_COEXIST, 0},
  {"__reduce_cython__", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw___pyx_MemviewEnum_1__reduce_cython__, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {"__setstate_cython__", (PyCFunction)(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*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  __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 PY_VERSION_HEX >= 0x030400a1
  #if CYTHON_USE_TP_FINALIZE
  0, /*tp_finalize*/
  #else
  NULL, /*tp_finalize*/
  #endif
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!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;
  #if CYTHON_COMPILING_IN_LIMITED_API
  allocfunc alloc_func = (allocfunc)PyType_GetSlot(t, Py_tp_alloc);
  o = alloc_func(t, 0);
  #else
  if (likely(!__Pyx_PyType_HasFeature(t, Py_TPFLAGS_IS_ABSTRACT))) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  #endif
  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->_array_interface = 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((PY_VERSION_HEX >= 0x03080000 || __Pyx_PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE)) && __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);
  Py_CLEAR(p->_array_interface);
  #if CYTHON_USE_TYPE_SLOTS || CYTHON_COMPILING_IN_PYPY
  (*Py_TYPE(o)->tp_free)(o);
  #else
  {
    freefunc tp_free = (freefunc)PyType_GetSlot(Py_TYPE(o), Py_tp_free);
    if (tp_free) tp_free(o);
  }
  #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;
  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->_array_interface) {
    e = (*v)(p->_array_interface, 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);
  tmp = ((PyObject*)p->_array_interface);
  p->_array_interface = 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 = PyInt_FromSsize_t(i); if(!x) return 0;
  r = Py_TYPE(o)->tp_as_mapping->mp_subscript(o, x);
  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_GetName(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 PyObject *__pyx_specialmethod___pyx_memoryview___repr__(PyObject *self, CYTHON_UNUSED PyObject *arg) {
  return __pyx_memoryview___repr__(self);
}

static PyMethodDef __pyx_methods_memoryview[] = {
  {"__repr__", (PyCFunction)__pyx_specialmethod___pyx_memoryview___repr__, METH_NOARGS|METH_COEXIST, 0},
  {"is_c_contig", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_memoryview_is_c_contig, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {"is_f_contig", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_memoryview_is_f_contig, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {"copy", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_memoryview_copy, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {"copy_fortran", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_memoryview_copy_fortran, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {"__reduce_cython__", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw___pyx_memoryview_1__reduce_cython__, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {"__setstate_cython__", (PyCFunction)(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[] = {
  {(char *)"T", __pyx_getprop___pyx_memoryview_T, 0, (char *)0, 0},
  {(char *)"base", __pyx_getprop___pyx_memoryview_base, 0, (char *)0, 0},
  {(char *)"shape", __pyx_getprop___pyx_memoryview_shape, 0, (char *)0, 0},
  {(char *)"strides", __pyx_getprop___pyx_memoryview_strides, 0, (char *)0, 0},
  {(char *)"suboffsets", __pyx_getprop___pyx_memoryview_suboffsets, 0, (char *)0, 0},
  {(char *)"ndim", __pyx_getprop___pyx_memoryview_ndim, 0, (char *)0, 0},
  {(char *)"itemsize", __pyx_getprop___pyx_memoryview_itemsize, 0, (char *)0, 0},
  {(char *)"nbytes", __pyx_getprop___pyx_memoryview_nbytes, 0, (char *)0, 0},
  {(char *)"size", __pyx_getprop___pyx_memoryview_size, 0, (char *)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 = {
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getreadbuffer*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getwritebuffer*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getsegcount*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getcharbuffer*/
  #endif
  __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 = {
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getreadbuffer*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getwritebuffer*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getsegcount*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getcharbuffer*/
  #endif
  __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*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  __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 PY_VERSION_HEX >= 0x030400a1
  #if CYTHON_USE_TP_FINALIZE
  0, /*tp_finalize*/
  #else
  NULL, /*tp_finalize*/
  #endif
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!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((PY_VERSION_HEX >= 0x03080000 || __Pyx_PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE)) && __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);
  __pyx_tp_dealloc_memoryview(o);
}

static int __pyx_tp_traverse__memoryviewslice(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_memoryviewslice_obj *p = (struct __pyx_memoryviewslice_obj *)o;
  e = __pyx_tp_traverse_memoryview(o, v, a); if (e) return e;
  if (p->from_object) {
    e = (*v)(p->from_object, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear__memoryviewslice(PyObject *o) {
  PyObject* tmp;
  struct __pyx_memoryviewslice_obj *p = (struct __pyx_memoryviewslice_obj *)o;
  __pyx_tp_clear_memoryview(o);
  tmp = ((PyObject*)p->from_object);
  p->from_object = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  __PYX_XCLEAR_MEMVIEW(&p->from_slice, 1);
  return 0;
}

static PyMethodDef __pyx_methods__memoryviewslice[] = {
  {"__reduce_cython__", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw___pyx_memoryviewslice_1__reduce_cython__, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {"__setstate_cython__", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw___pyx_memoryviewslice_3__setstate_cython__, __Pyx_METH_FASTCALL|METH_KEYWORDS, 0},
  {0, 0, 0, 0}
};
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_type___pyx_memoryviewslice_slots[] = {
  {Py_tp_dealloc, (void *)__pyx_tp_dealloc__memoryviewslice},
  {Py_tp_doc, (void *)PyDoc_STR("Internal class for passing memoryview slices to Python")},
  {Py_tp_traverse, (void *)__pyx_tp_traverse__memoryviewslice},
  {Py_tp_clear, (void *)__pyx_tp_clear__memoryviewslice},
  {Py_tp_methods, (void *)__pyx_methods__memoryviewslice},
  {Py_tp_new, (void *)__pyx_tp_new__memoryviewslice},
  {0, 0},
};
static PyType_Spec __pyx_type___pyx_memoryviewslice_spec = {
  "statsmodels.tsa.statespace._filters._univariate_diffuse._memoryviewslice",
  sizeof(struct __pyx_memoryviewslice_obj),
  0,
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC|Py_TPFLAGS_SEQUENCE,
  __pyx_type___pyx_memoryviewslice_slots,
};
#else

static PyTypeObject __pyx_type___pyx_memoryviewslice = {
  PyVarObject_HEAD_INIT(0, 0)
  "statsmodels.tsa.statespace._filters._univariate_diffuse.""_memoryviewslice", /*tp_name*/
  sizeof(struct __pyx_memoryviewslice_obj), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc__memoryviewslice, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY || 0
  __pyx_memoryview___repr__, /*tp_repr*/
  #else
  0, /*tp_repr*/
  #endif
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  #if CYTHON_COMPILING_IN_PYPY || 0
  __pyx_memoryview___str__, /*tp_str*/
  #else
  0, /*tp_str*/
  #endif
  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|Py_TPFLAGS_SEQUENCE, /*tp_flags*/
  PyDoc_STR("Internal class for passing memoryview slices to Python"), /*tp_doc*/
  __pyx_tp_traverse__memoryviewslice, /*tp_traverse*/
  __pyx_tp_clear__memoryviewslice, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods__memoryviewslice, /*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
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new__memoryviewslice, /*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 PY_VERSION_HEX >= 0x030400a1
  #if CYTHON_USE_TP_FINALIZE
  0, /*tp_finalize*/
  #else
  NULL, /*tp_finalize*/
  #endif
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!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 PyMethodDef __pyx_methods[] = {
  {0, 0, 0, 0}
};
#ifndef CYTHON_SMALL_CODE
#if defined(__clang__)
    #define CYTHON_SMALL_CODE
#elif defined(__GNUC__) && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 3))
    #define CYTHON_SMALL_CODE __attribute__((cold))
#else
    #define CYTHON_SMALL_CODE
#endif
#endif
/* #### Code section: pystring_table ### */

static int __Pyx_CreateStringTabAndInitStrings(void) {
  __Pyx_StringTabEntry __pyx_string_tab[] = {
    {&__pyx_kp_u_, __pyx_k_, sizeof(__pyx_k_), 0, 1, 0, 0},
    {&__pyx_n_s_ASCII, __pyx_k_ASCII, sizeof(__pyx_k_ASCII), 0, 0, 1, 1},
    {&__pyx_kp_s_All_dimensions_preceding_dimensi, __pyx_k_All_dimensions_preceding_dimensi, sizeof(__pyx_k_All_dimensions_preceding_dimensi), 0, 0, 1, 0},
    {&__pyx_n_s_AssertionError, __pyx_k_AssertionError, sizeof(__pyx_k_AssertionError), 0, 0, 1, 1},
    {&__pyx_kp_s_Buffer_view_does_not_expose_stri, __pyx_k_Buffer_view_does_not_expose_stri, sizeof(__pyx_k_Buffer_view_does_not_expose_stri), 0, 0, 1, 0},
    {&__pyx_kp_s_Can_only_create_a_buffer_that_is, __pyx_k_Can_only_create_a_buffer_that_is, sizeof(__pyx_k_Can_only_create_a_buffer_that_is), 0, 0, 1, 0},
    {&__pyx_kp_s_Cannot_assign_to_read_only_memor, __pyx_k_Cannot_assign_to_read_only_memor, sizeof(__pyx_k_Cannot_assign_to_read_only_memor), 0, 0, 1, 0},
    {&__pyx_kp_s_Cannot_create_writable_memory_vi, __pyx_k_Cannot_create_writable_memory_vi, sizeof(__pyx_k_Cannot_create_writable_memory_vi), 0, 0, 1, 0},
    {&__pyx_kp_u_Cannot_index_with_type, __pyx_k_Cannot_index_with_type, sizeof(__pyx_k_Cannot_index_with_type), 0, 1, 0, 0},
    {&__pyx_kp_s_Cannot_transpose_memoryview_with, __pyx_k_Cannot_transpose_memoryview_with, sizeof(__pyx_k_Cannot_transpose_memoryview_with), 0, 0, 1, 0},
    {&__pyx_kp_s_Dimension_d_is_not_direct, __pyx_k_Dimension_d_is_not_direct, sizeof(__pyx_k_Dimension_d_is_not_direct), 0, 0, 1, 0},
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    {&__pyx_kp_s_Empty_shape_tuple_for_cython_arr, __pyx_k_Empty_shape_tuple_for_cython_arr, sizeof(__pyx_k_Empty_shape_tuple_for_cython_arr), 0, 0, 1, 0},
    {&__pyx_n_s_ImportError, __pyx_k_ImportError, sizeof(__pyx_k_ImportError), 0, 0, 1, 1},
    {&__pyx_kp_s_Incompatible_checksums_0x_x_vs_0, __pyx_k_Incompatible_checksums_0x_x_vs_0, sizeof(__pyx_k_Incompatible_checksums_0x_x_vs_0), 0, 0, 1, 0},
    {&__pyx_n_s_IndexError, __pyx_k_IndexError, sizeof(__pyx_k_IndexError), 0, 0, 1, 1},
    {&__pyx_kp_s_Index_out_of_bounds_axis_d, __pyx_k_Index_out_of_bounds_axis_d, sizeof(__pyx_k_Index_out_of_bounds_axis_d), 0, 0, 1, 0},
    {&__pyx_kp_s_Indirect_dimensions_not_supporte, __pyx_k_Indirect_dimensions_not_supporte, sizeof(__pyx_k_Indirect_dimensions_not_supporte), 0, 0, 1, 0},
    {&__pyx_kp_u_Invalid_mode_expected_c_or_fortr, __pyx_k_Invalid_mode_expected_c_or_fortr, sizeof(__pyx_k_Invalid_mode_expected_c_or_fortr), 0, 1, 0, 0},
    {&__pyx_kp_u_Invalid_shape_in_axis, __pyx_k_Invalid_shape_in_axis, sizeof(__pyx_k_Invalid_shape_in_axis), 0, 1, 0, 0},
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    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);
}

/* RaiseDoubleKeywords */
static void __Pyx_RaiseDoubleKeywordsError(
    const char* func_name,
    PyObject* kw_name)
{
    PyErr_Format(PyExc_TypeError,
        #if PY_MAJOR_VERSION >= 3
        "%s() got multiple values for keyword argument '%U'", func_name, kw_name);
        #else
        "%s() got multiple values for keyword argument '%s'", func_name,
        PyString_AsString(kw_name));
        #endif
}

/* ParseKeywords */
static int __Pyx_ParseOptionalKeywords(
    PyObject *kwds,
    PyObject *const *kwvalues,
    PyObject **argnames[],
    PyObject *kwds2,
    PyObject *values[],
    Py_ssize_t num_pos_args,
    const char* function_name)
{
    PyObject *key = 0, *value = 0;
    Py_ssize_t pos = 0;
    PyObject*** name;
    PyObject*** first_kw_arg = argnames + num_pos_args;
    int kwds_is_tuple = CYTHON_METH_FASTCALL && likely(PyTuple_Check(kwds));
    while (1) {
        Py_XDECREF(key); key = NULL;
        Py_XDECREF(value); value = NULL;
        if (kwds_is_tuple) {
            Py_ssize_t size;
#if CYTHON_ASSUME_SAFE_MACROS
            size = PyTuple_GET_SIZE(kwds);
#else
            size = PyTuple_Size(kwds);
            if (size < 0) goto bad;
#endif
            if (pos >= size) break;
#if CYTHON_AVOID_BORROWED_REFS
            key = __Pyx_PySequence_ITEM(kwds, pos);
            if (!key) goto bad;
#elif CYTHON_ASSUME_SAFE_MACROS
            key = PyTuple_GET_ITEM(kwds, pos);
#else
            key = PyTuple_GetItem(kwds, pos);
            if (!key) goto bad;
#endif
            value = kwvalues[pos];
            pos++;
        }
        else
        {
            if (!PyDict_Next(kwds, &pos, &key, &value)) break;
#if CYTHON_AVOID_BORROWED_REFS
            Py_INCREF(key);
#endif
        }
        name = first_kw_arg;
        while (*name && (**name != key)) name++;
        if (*name) {
            values[name-argnames] = value;
#if CYTHON_AVOID_BORROWED_REFS
            Py_INCREF(value);
            Py_DECREF(key);
#endif
            key = NULL;
            value = NULL;
            continue;
        }
#if !CYTHON_AVOID_BORROWED_REFS
        Py_INCREF(key);
#endif
        Py_INCREF(value);
        name = first_kw_arg;
        #if PY_MAJOR_VERSION < 3
        if (likely(PyString_Check(key))) {
            while (*name) {
                if ((CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**name) == PyString_GET_SIZE(key))
                        && _PyString_Eq(**name, key)) {
                    values[name-argnames] = value;
#if CYTHON_AVOID_BORROWED_REFS
                    value = NULL;
#endif
                    break;
                }
                name++;
            }
            if (*name) continue;
            else {
                PyObject*** argname = argnames;
                while (argname != first_kw_arg) {
                    if ((**argname == key) || (
                            (CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**argname) == PyString_GET_SIZE(key))
                             && _PyString_Eq(**argname, key))) {
                        goto arg_passed_twice;
                    }
                    argname++;
                }
            }
        } else
        #endif
        if (likely(PyUnicode_Check(key))) {
            while (*name) {
                int cmp = (
                #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
                    (__Pyx_PyUnicode_GET_LENGTH(**name) != __Pyx_PyUnicode_GET_LENGTH(key)) ? 1 :
                #endif
                    PyUnicode_Compare(**name, key)
                );
                if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
                if (cmp == 0) {
                    values[name-argnames] = value;
#if CYTHON_AVOID_BORROWED_REFS
                    value = NULL;
#endif
                    break;
                }
                name++;
            }
            if (*name) continue;
            else {
                PyObject*** argname = argnames;
                while (argname != first_kw_arg) {
                    int cmp = (**argname == key) ? 0 :
                    #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
                        (__Pyx_PyUnicode_GET_LENGTH(**argname) != __Pyx_PyUnicode_GET_LENGTH(key)) ? 1 :
                    #endif
                        PyUnicode_Compare(**argname, key);
                    if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
                    if (cmp == 0) goto arg_passed_twice;
                    argname++;
                }
            }
        } else
            goto invalid_keyword_type;
        if (kwds2) {
            if (unlikely(PyDict_SetItem(kwds2, key, value))) goto bad;
        } else {
            goto invalid_keyword;
        }
    }
    Py_XDECREF(key);
    Py_XDECREF(value);
    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;
invalid_keyword:
    #if PY_MAJOR_VERSION < 3
    PyErr_Format(PyExc_TypeError,
        "%.200s() got an unexpected keyword argument '%.200s'",
        function_name, PyString_AsString(key));
    #else
    PyErr_Format(PyExc_TypeError,
        "%s() got an unexpected keyword argument '%U'",
        function_name, key);
    #endif
bad:
    Py_XDECREF(key);
    Py_XDECREF(value);
    return -1;
}

/* ArgTypeTest */
static int __Pyx__ArgTypeTest(PyObject *obj, PyTypeObject *type, const char *name, int exact)
{
    __Pyx_TypeName type_name;
    __Pyx_TypeName obj_type_name;
    if (unlikely(!type)) {
        PyErr_SetString(PyExc_SystemError, "Missing type object");
        return 0;
    }
    else if (exact) {
        #if PY_MAJOR_VERSION == 2
        if ((type == &PyBaseString_Type) && likely(__Pyx_PyBaseString_CheckExact(obj))) return 1;
        #endif
    }
    else {
        if (likely(__Pyx_TypeCheck(obj, type))) return 1;
    }
    type_name = __Pyx_PyType_GetName(type);
    obj_type_name = __Pyx_PyType_GetName(Py_TYPE(obj));
    PyErr_Format(PyExc_TypeError,
        "Argument '%.200s' has incorrect type (expected " __Pyx_FMT_TYPENAME
        ", got " __Pyx_FMT_TYPENAME ")", name, type_name, obj_type_name);
    __Pyx_DECREF_TypeName(type_name);
    __Pyx_DECREF_TypeName(obj_type_name);
    return 0;
}

/* RaiseException */
#if PY_MAJOR_VERSION < 3
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {
    __Pyx_PyThreadState_declare
    CYTHON_UNUSED_VAR(cause);
    Py_XINCREF(type);
    if (!value || value == Py_None)
        value = NULL;
    else
        Py_INCREF(value);
    if (!tb || tb == Py_None)
        tb = NULL;
    else {
        Py_INCREF(tb);
        if (!PyTraceBack_Check(tb)) {
            PyErr_SetString(PyExc_TypeError,
                "raise: arg 3 must be a traceback or None");
            goto raise_error;
        }
    }
    if (PyType_Check(type)) {
#if CYTHON_COMPILING_IN_PYPY
        if (!value) {
            Py_INCREF(Py_None);
            value = Py_None;
        }
#endif
        PyErr_NormalizeException(&type, &value, &tb);
    } else {
        if (value) {
            PyErr_SetString(PyExc_TypeError,
                "instance exception may not have a separate value");
            goto raise_error;
        }
        value = type;
        type = (PyObject*) Py_TYPE(type);
        Py_INCREF(type);
        if (!PyType_IsSubtype((PyTypeObject *)type, (PyTypeObject *)PyExc_BaseException)) {
            PyErr_SetString(PyExc_TypeError,
                "raise: exception class must be a subclass of BaseException");
            goto raise_error;
        }
    }
    __Pyx_PyThreadState_assign
    __Pyx_ErrRestore(type, value, tb);
    return;
raise_error:
    Py_XDECREF(value);
    Py_XDECREF(type);
    Py_XDECREF(tb);
    return;
}
#else
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;
}
#endif

/* PyFunctionFastCall */
#if CYTHON_FAST_PYCALL && !CYTHON_VECTORCALL
static PyObject* __Pyx_PyFunction_FastCallNoKw(PyCodeObject *co, PyObject **args, Py_ssize_t na,
                                               PyObject *globals) {
    PyFrameObject *f;
    PyThreadState *tstate = __Pyx_PyThreadState_Current;
    PyObject **fastlocals;
    Py_ssize_t i;
    PyObject *result;
    assert(globals != NULL);
    /* XXX Perhaps we should create a specialized
       PyFrame_New() that doesn't take locals, but does
       take builtins without sanity checking them.
       */
    assert(tstate != NULL);
    f = PyFrame_New(tstate, co, globals, NULL);
    if (f == NULL) {
        return NULL;
    }
    fastlocals = __Pyx_PyFrame_GetLocalsplus(f);
    for (i = 0; i < na; i++) {
        Py_INCREF(*args);
        fastlocals[i] = *args++;
    }
    result = PyEval_EvalFrameEx(f,0);
    ++tstate->recursion_depth;
    Py_DECREF(f);
    --tstate->recursion_depth;
    return result;
}
static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, Py_ssize_t nargs, PyObject *kwargs) {
    PyCodeObject *co = (PyCodeObject *)PyFunction_GET_CODE(func);
    PyObject *globals = PyFunction_GET_GLOBALS(func);
    PyObject *argdefs = PyFunction_GET_DEFAULTS(func);
    PyObject *closure;
#if PY_MAJOR_VERSION >= 3
    PyObject *kwdefs;
#endif
    PyObject *kwtuple, **k;
    PyObject **d;
    Py_ssize_t nd;
    Py_ssize_t nk;
    PyObject *result;
    assert(kwargs == NULL || PyDict_Check(kwargs));
    nk = kwargs ? PyDict_Size(kwargs) : 0;
    #if PY_MAJOR_VERSION < 3
    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object"))) {
        return NULL;
    }
    #else
    if (unlikely(Py_EnterRecursiveCall(" while calling a Python object"))) {
        return NULL;
    }
    #endif
    if (
#if PY_MAJOR_VERSION >= 3
            co->co_kwonlyargcount == 0 &&
#endif
            likely(kwargs == NULL || nk == 0) &&
            co->co_flags == (CO_OPTIMIZED | CO_NEWLOCALS | CO_NOFREE)) {
        if (argdefs == NULL && co->co_argcount == nargs) {
            result = __Pyx_PyFunction_FastCallNoKw(co, args, nargs, globals);
            goto done;
        }
        else if (nargs == 0 && argdefs != NULL
                 && co->co_argcount == Py_SIZE(argdefs)) {
            /* function called with no arguments, but all parameters have
               a default value: use default values as arguments .*/
            args = &PyTuple_GET_ITEM(argdefs, 0);
            result =__Pyx_PyFunction_FastCallNoKw(co, args, Py_SIZE(argdefs), globals);
            goto done;
        }
    }
    if (kwargs != NULL) {
        Py_ssize_t pos, i;
        kwtuple = PyTuple_New(2 * nk);
        if (kwtuple == NULL) {
            result = NULL;
            goto done;
        }
        k = &PyTuple_GET_ITEM(kwtuple, 0);
        pos = i = 0;
        while (PyDict_Next(kwargs, &pos, &k[i], &k[i+1])) {
            Py_INCREF(k[i]);
            Py_INCREF(k[i+1]);
            i += 2;
        }
        nk = i / 2;
    }
    else {
        kwtuple = NULL;
        k = NULL;
    }
    closure = PyFunction_GET_CLOSURE(func);
#if PY_MAJOR_VERSION >= 3
    kwdefs = PyFunction_GET_KW_DEFAULTS(func);
#endif
    if (argdefs != NULL) {
        d = &PyTuple_GET_ITEM(argdefs, 0);
        nd = Py_SIZE(argdefs);
    }
    else {
        d = NULL;
        nd = 0;
    }
#if PY_MAJOR_VERSION >= 3
    result = PyEval_EvalCodeEx((PyObject*)co, globals, (PyObject *)NULL,
                               args, (int)nargs,
                               k, (int)nk,
                               d, (int)nd, kwdefs, closure);
#else
    result = PyEval_EvalCodeEx(co, globals, (PyObject *)NULL,
                               args, (int)nargs,
                               k, (int)nk,
                               d, (int)nd, closure);
#endif
    Py_XDECREF(kwtuple);
done:
    Py_LeaveRecursiveCall();
    return result;
}
#endif

/* PyObjectCall */
#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 PY_MAJOR_VERSION < 3
    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
        return NULL;
    #else
    if (unlikely(Py_EnterRecursiveCall(" while calling a Python object")))
        return NULL;
    #endif
    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 */
#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 PY_MAJOR_VERSION < 3
    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
        return NULL;
    #else
    if (unlikely(Py_EnterRecursiveCall(" while calling a Python object")))
        return NULL;
    #endif
    result = cfunc(self, arg);
    Py_LeaveRecursiveCall();
    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
        PyErr_SetString(
            PyExc_SystemError,
            "NULL result without error in PyObject_Call");
    }
    return result;
}
#endif

/* PyObjectFastCall */
#if PY_VERSION_HEX < 0x03090000 || CYTHON_COMPILING_IN_LIMITED_API
static PyObject* __Pyx_PyObject_FastCall_fallback(PyObject *func, PyObject **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
static CYTHON_INLINE PyObject* __Pyx_PyObject_FastCallDict(PyObject *func, PyObject **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 PY_VERSION_HEX < 0x030800B1
    #if CYTHON_FAST_PYCCALL
    if (PyCFunction_Check(func)) {
        if (kwargs) {
            return _PyCFunction_FastCallDict(func, args, nargs, kwargs);
        } else {
            return _PyCFunction_FastCallKeywords(func, args, nargs, NULL);
        }
    }
    #if PY_VERSION_HEX >= 0x030700A1
    if (!kwargs && __Pyx_IS_TYPE(func, &PyMethodDescr_Type)) {
        return _PyMethodDescr_FastCallKeywords(func, args, nargs, NULL);
    }
    #endif
    #endif
    #if CYTHON_FAST_PYCALL
    if (PyFunction_Check(func)) {
        return __Pyx_PyFunction_FastCallDict(func, args, nargs, kwargs);
    }
    #endif
    #endif
    if (kwargs == NULL) {
        #if CYTHON_VECTORCALL
        #if PY_VERSION_HEX < 0x03090000
        vectorcallfunc f = _PyVectorcall_Function(func);
        #else
        vectorcallfunc f = PyVectorcall_Function(func);
        #endif
        if (f) {
            return f(func, args, (size_t)nargs, NULL);
        }
        #elif defined(__Pyx_CyFunction_USED) && CYTHON_BACKPORT_VECTORCALL
        if (__Pyx_CyFunction_CheckExact(func)) {
            __pyx_vectorcallfunc f = __Pyx_CyFunction_func_vectorcall(func);
            if (f) return f(func, args, (size_t)nargs, NULL);
        }
        #endif
    }
    if (nargs == 0) {
        return __Pyx_PyObject_Call(func, __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
}

/* RaiseUnexpectedTypeError */
static int
__Pyx_RaiseUnexpectedTypeError(const char *expected, PyObject *obj)
{
    __Pyx_TypeName obj_type_name = __Pyx_PyType_GetName(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 */
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 */
static PyObject* __Pyx_PyUnicode_BuildFromAscii(Py_ssize_t ulength, 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;
#if CYTHON_PEP393_ENABLED
    void *udata;
    uval = PyUnicode_New(ulength, 127);
    if (unlikely(!uval)) return NULL;
    udata = PyUnicode_DATA(uval);
#else
    Py_UNICODE *udata;
    uval = PyUnicode_FromUnicode(NULL, ulength);
    if (unlikely(!uval)) return NULL;
    udata = PyUnicode_AS_UNICODE(uval);
#endif
    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;
                    PyObject *repeat = PyInt_FromSsize_t(uoffset - prepend_sign);
                    if (unlikely(!repeat)) goto done_or_error;
                    tmp = PyNumber_Multiply(padding, repeat);
                    Py_DECREF(repeat);
                    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 = PyNumber_Add(padding, uval);
            Py_DECREF(uval);
            uval = tmp;
        }
        if (likely(uval) && sign) {
            PyObject *tmp = PyNumber_Add(sign, uval);
            Py_DECREF(uval);
            uval = tmp;
        }
done_or_error:
        Py_XDECREF(padding);
        Py_XDECREF(sign);
    }
#endif
    return uval;
}

/* CIntToPyUnicode */
static CYTHON_INLINE PyObject* __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_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* value_tuple, 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;
    CYTHON_MAYBE_UNUSED_VAR(max_char);
#if CYTHON_PEP393_ENABLED
    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);
#else
    result_uval = PyUnicode_FromUnicode(NULL, result_ulength);
    if (unlikely(!result_uval)) return NULL;
    result_ukind = sizeof(Py_UNICODE);
    kind_shift = (result_ukind == 4) ? 2 : result_ukind - 1;
    result_udata = PyUnicode_AS_UNICODE(result_uval);
#endif
    assert(kind_shift == 2 || kind_shift == 1 || kind_shift == 0);
    char_pos = 0;
    for (i=0; i < value_count; i++) {
        int ukind;
        Py_ssize_t ulength;
        void *udata;
        PyObject *uval = PyTuple_GET_ITEM(value_tuple, i);
        if (unlikely(__Pyx_PyUnicode_READY(uval)))
            goto bad;
        ulength = __Pyx_PyUnicode_GET_LENGTH(uval);
        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 (!CYTHON_PEP393_ENABLED || 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 && PY_VERSION_HEX >= 0x030300F0 || 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
    CYTHON_UNUSED_VAR(max_char);
    CYTHON_UNUSED_VAR(result_ulength);
    CYTHON_UNUSED_VAR(value_count);
    return PyUnicode_Join(__pyx_empty_unicode, value_tuple);
#endif
}

/* GetAttr */
static CYTHON_INLINE PyObject *__Pyx_GetAttr(PyObject *o, PyObject *n) {
#if CYTHON_USE_TYPE_SLOTS
#if PY_MAJOR_VERSION >= 3
    if (likely(PyUnicode_Check(n)))
#else
    if (likely(PyString_Check(n)))
#endif
        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,
                                                              CYTHON_NCP_UNUSED int wraparound,
                                                              CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    Py_ssize_t wrapped_i = i;
    if (wraparound & unlikely(i < 0)) {
        wrapped_i += PyList_GET_SIZE(o);
    }
    if ((!boundscheck) || likely(__Pyx_is_valid_index(wrapped_i, PyList_GET_SIZE(o)))) {
        PyObject *r = PyList_GET_ITEM(o, wrapped_i);
        Py_INCREF(r);
        return r;
    }
    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
#else
    return PySequence_GetItem(o, i);
#endif
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,
                                                              CYTHON_NCP_UNUSED int wraparound,
                                                              CYTHON_NCP_UNUSED int boundscheck) {
#if 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)))) {
        PyObject *r = PyTuple_GET_ITEM(o, wrapped_i);
        Py_INCREF(r);
        return r;
    }
    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
#else
    return PySequence_GetItem(o, i);
#endif
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i, int is_list,
                                                     CYTHON_NCP_UNUSED int wraparound,
                                                     CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS && CYTHON_USE_TYPE_SLOTS
    if (is_list || PyList_CheckExact(o)) {
        Py_ssize_t n = ((!wraparound) | likely(i >= 0)) ? i : i + PyList_GET_SIZE(o);
        if ((!boundscheck) || (likely(__Pyx_is_valid_index(n, PyList_GET_SIZE(o))))) {
            PyObject *r = PyList_GET_ITEM(o, n);
            Py_INCREF(r);
            return r;
        }
    }
    else 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)))) {
            PyObject *r = PyTuple_GET_ITEM(o, n);
            Py_INCREF(r);
            return r;
        }
    } else {
        PyMappingMethods *mm = Py_TYPE(o)->tp_as_mapping;
        PySequenceMethods *sm = Py_TYPE(o)->tp_as_sequence;
        if (mm && mm->mp_subscript) {
            PyObject *r, *key = PyInt_FromSsize_t(i);
            if (unlikely(!key)) return NULL;
            r = mm->mp_subscript(o, key);
            Py_DECREF(key);
            return r;
        }
        if (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
    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
}

/* PyObjectCallOneArg */
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);
}

/* 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);
    }
    if (PyErr_GivenExceptionMatches(runerr, PyExc_OverflowError)) {
        __Pyx_TypeName index_type_name = __Pyx_PyType_GetName(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_n_s_class_getitem);
        if (!meth) {
            PyErr_Clear();
        } else {
            PyObject *result = __Pyx_PyObject_CallOneArg(meth, key);
            Py_DECREF(meth);
            return result;
        }
    }
    obj_type_name = __Pyx_PyType_GetName(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

/* KeywordStringCheck */
static int __Pyx_CheckKeywordStrings(
    PyObject *kw,
    const char* function_name,
    int kw_allowed)
{
    PyObject* key = 0;
    Py_ssize_t pos = 0;
#if CYTHON_COMPILING_IN_PYPY
    if (!kw_allowed && PyDict_Next(kw, &pos, &key, 0))
        goto invalid_keyword;
    return 1;
#else
    if (CYTHON_METH_FASTCALL && likely(PyTuple_Check(kw))) {
        Py_ssize_t kwsize;
#if CYTHON_ASSUME_SAFE_MACROS
        kwsize = PyTuple_GET_SIZE(kw);
#else
        kwsize = PyTuple_Size(kw);
        if (kwsize < 0) return 0;
#endif
        if (unlikely(kwsize == 0))
            return 1;
        if (!kw_allowed) {
#if CYTHON_ASSUME_SAFE_MACROS
            key = PyTuple_GET_ITEM(kw, 0);
#else
            key = PyTuple_GetItem(kw, pos);
            if (!key) return 0;
#endif
            goto invalid_keyword;
        }
#if PY_VERSION_HEX < 0x03090000
        for (pos = 0; pos < kwsize; pos++) {
#if CYTHON_ASSUME_SAFE_MACROS
            key = PyTuple_GET_ITEM(kw, pos);
#else
            key = PyTuple_GetItem(kw, pos);
            if (!key) return 0;
#endif
            if (unlikely(!PyUnicode_Check(key)))
                goto invalid_keyword_type;
        }
#endif
        return 1;
    }
    while (PyDict_Next(kw, &pos, &key, 0)) {
        #if PY_MAJOR_VERSION < 3
        if (unlikely(!PyString_Check(key)))
        #endif
            if (unlikely(!PyUnicode_Check(key)))
                goto invalid_keyword_type;
    }
    if (!kw_allowed && unlikely(key))
        goto invalid_keyword;
    return 1;
invalid_keyword_type:
    PyErr_Format(PyExc_TypeError,
        "%.200s() keywords must be strings", function_name);
    return 0;
#endif
invalid_keyword:
    #if PY_MAJOR_VERSION < 3
    PyErr_Format(PyExc_TypeError,
        "%.200s() got an unexpected keyword argument '%.200s'",
        function_name, PyString_AsString(key));
    #else
    PyErr_Format(PyExc_TypeError,
        "%s() got an unexpected keyword argument '%U'",
        function_name, key);
    #endif
    return 0;
}

/* DivInt[Py_ssize_t] */
static CYTHON_INLINE Py_ssize_t __Pyx_div_Py_ssize_t(Py_ssize_t a, Py_ssize_t b) {
    Py_ssize_t q = a / b;
    Py_ssize_t r = a - q*b;
    q -= ((r != 0) & ((r ^ b) < 0));
    return q;
}

/* GetAttr3 */
#if __PYX_LIMITED_VERSION_HEX < 0x030d00A1
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 >= 0x030d00A1
    int res = PyObject_GetOptionalAttr(o, n, &r);
    return (res != 0) ? r : __Pyx_NewRef(d);
#else
  #if CYTHON_USE_TYPE_SLOTS
    if (likely(PyString_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 */
#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_AVOID_BORROWED_REFS
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1 && PY_VERSION_HEX < 0x030d0000
    result = _PyDict_GetItem_KnownHash(__pyx_d, name, ((PyASCIIObject *) name)->hash);
    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    } else if (unlikely(PyErr_Occurred())) {
        return NULL;
    }
#elif CYTHON_COMPILING_IN_LIMITED_API
    if (unlikely(!__pyx_m)) {
        return NULL;
    }
    result = PyObject_GetAttr(__pyx_m, name);
    if (likely(result)) {
        return result;
    }
#else
    result = PyDict_GetItem(__pyx_d, name);
    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    }
#endif
#else
    result = PyObject_GetItem(__pyx_d, name);
    __PYX_UPDATE_DICT_CACHE(__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_GetName(Py_TYPE(obj));
    type_name = __Pyx_PyType_GetName(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 */
#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 >= 0x030C00A6
    local_value = tstate->current_exception;
    tstate->current_exception = 0;
    if (likely(local_value)) {
        local_type = (PyObject*) Py_TYPE(local_value);
        Py_INCREF(local_type);
        local_tb = PyException_GetTraceback(local_value);
    }
  #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
#else
    PyErr_Fetch(&local_type, &local_value, &local_tb);
#endif
    PyErr_NormalizeException(&local_type, &local_value, &local_tb);
#if CYTHON_FAST_THREAD_STATE && PY_VERSION_HEX >= 0x030C00A6
    if (unlikely(tstate->current_exception))
#elif CYTHON_FAST_THREAD_STATE
    if (unlikely(tstate->curexc_type))
#else
    if (unlikely(PyErr_Occurred()))
#endif
        goto bad;
    #if PY_MAJOR_VERSION >= 3
    if (local_tb) {
        if (unlikely(PyException_SetTraceback(local_value, local_tb) < 0))
            goto bad;
    }
    #endif
    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);
#else
    PyErr_SetExcInfo(local_type, local_value, local_tb);
#endif
    return 0;
bad:
    *type = 0;
    *value = 0;
    *tb = 0;
    Py_XDECREF(local_type);
    Py_XDECREF(local_value);
    Py_XDECREF(local_tb);
    return -1;
}

/* 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

/* Import */
static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level) {
    PyObject *module = 0;
    PyObject *empty_dict = 0;
    PyObject *empty_list = 0;
    #if PY_MAJOR_VERSION < 3
    PyObject *py_import;
    py_import = __Pyx_PyObject_GetAttrStr(__pyx_b, __pyx_n_s_import);
    if (unlikely(!py_import))
        goto bad;
    if (!from_list) {
        empty_list = PyList_New(0);
        if (unlikely(!empty_list))
            goto bad;
        from_list = empty_list;
    }
    #endif
    empty_dict = PyDict_New();
    if (unlikely(!empty_dict))
        goto bad;
    {
        #if PY_MAJOR_VERSION >= 3
        if (level == -1) {
            if (strchr(__Pyx_MODULE_NAME, '.') != NULL) {
                module = PyImport_ImportModuleLevelObject(
                    name, __pyx_d, empty_dict, from_list, 1);
                if (unlikely(!module)) {
                    if (unlikely(!PyErr_ExceptionMatches(PyExc_ImportError)))
                        goto bad;
                    PyErr_Clear();
                }
            }
            level = 0;
        }
        #endif
        if (!module) {
            #if PY_MAJOR_VERSION < 3
            PyObject *py_level = PyInt_FromLong(level);
            if (unlikely(!py_level))
                goto bad;
            module = PyObject_CallFunctionObjArgs(py_import,
                name, __pyx_d, empty_dict, from_list, py_level, (PyObject *)NULL);
            Py_DECREF(py_level);
            #else
            module = PyImport_ImportModuleLevelObject(
                name, __pyx_d, empty_dict, from_list, level);
            #endif
        }
    }
bad:
    Py_XDECREF(empty_dict);
    Py_XDECREF(empty_list);
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(py_import);
    #endif
    return module;
}

/* ImportDottedModule */
#if PY_MAJOR_VERSION >= 3
static PyObject *__Pyx__ImportDottedModule_Error(PyObject *name, PyObject *parts_tuple, Py_ssize_t count) {
    PyObject *partial_name = NULL, *slice = NULL, *sep = NULL;
    if (unlikely(PyErr_Occurred())) {
        PyErr_Clear();
    }
    if (likely(PyTuple_GET_SIZE(parts_tuple) == count)) {
        partial_name = name;
    } else {
        slice = PySequence_GetSlice(parts_tuple, 0, count);
        if (unlikely(!slice))
            goto bad;
        sep = PyUnicode_FromStringAndSize(".", 1);
        if (unlikely(!sep))
            goto bad;
        partial_name = PyUnicode_Join(sep, slice);
    }
    PyErr_Format(
#if PY_MAJOR_VERSION < 3
        PyExc_ImportError,
        "No module named '%s'", PyString_AS_STRING(partial_name));
#else
#if PY_VERSION_HEX >= 0x030600B1
        PyExc_ModuleNotFoundError,
#else
        PyExc_ImportError,
#endif
        "No module named '%U'", partial_name);
#endif
bad:
    Py_XDECREF(sep);
    Py_XDECREF(slice);
    Py_XDECREF(partial_name);
    return NULL;
}
#endif
#if PY_MAJOR_VERSION >= 3
static PyObject *__Pyx__ImportDottedModule_Lookup(PyObject *name) {
    PyObject *imported_module;
#if PY_VERSION_HEX < 0x030700A1 || (CYTHON_COMPILING_IN_PYPY && PYPY_VERSION_NUM  < 0x07030400)
    PyObject *modules = PyImport_GetModuleDict();
    if (unlikely(!modules))
        return NULL;
    imported_module = __Pyx_PyDict_GetItemStr(modules, name);
    Py_XINCREF(imported_module);
#else
    imported_module = PyImport_GetModule(name);
#endif
    return imported_module;
}
#endif
#if PY_MAJOR_VERSION >= 3
static PyObject *__Pyx_ImportDottedModule_WalkParts(PyObject *module, PyObject *name, PyObject *parts_tuple) {
    Py_ssize_t i, nparts;
    nparts = PyTuple_GET_SIZE(parts_tuple);
    for (i=1; i < nparts && module; i++) {
        PyObject *part, *submodule;
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
        part = PyTuple_GET_ITEM(parts_tuple, i);
#else
        part = PySequence_ITEM(parts_tuple, i);
#endif
        submodule = __Pyx_PyObject_GetAttrStrNoError(module, part);
#if !(CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)
        Py_DECREF(part);
#endif
        Py_DECREF(module);
        module = submodule;
    }
    if (unlikely(!module)) {
        return __Pyx__ImportDottedModule_Error(name, parts_tuple, i);
    }
    return module;
}
#endif
static PyObject *__Pyx__ImportDottedModule(PyObject *name, PyObject *parts_tuple) {
#if PY_MAJOR_VERSION < 3
    PyObject *module, *from_list, *star = __pyx_n_s__3;
    CYTHON_UNUSED_VAR(parts_tuple);
    from_list = PyList_New(1);
    if (unlikely(!from_list))
        return NULL;
    Py_INCREF(star);
    PyList_SET_ITEM(from_list, 0, star);
    module = __Pyx_Import(name, from_list, 0);
    Py_DECREF(from_list);
    return module;
#else
    PyObject *imported_module;
    PyObject *module = __Pyx_Import(name, NULL, 0);
    if (!parts_tuple || unlikely(!module))
        return module;
    imported_module = __Pyx__ImportDottedModule_Lookup(name);
    if (likely(imported_module)) {
        Py_DECREF(module);
        return imported_module;
    }
    PyErr_Clear();
    return __Pyx_ImportDottedModule_WalkParts(module, name, parts_tuple);
#endif
}
static PyObject *__Pyx_ImportDottedModule(PyObject *name, PyObject *parts_tuple) {
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030400B1
    PyObject *module = __Pyx__ImportDottedModule_Lookup(name);
    if (likely(module)) {
        PyObject *spec = __Pyx_PyObject_GetAttrStrNoError(module, __pyx_n_s_spec);
        if (likely(spec)) {
            PyObject *unsafe = __Pyx_PyObject_GetAttrStrNoError(spec, __pyx_n_s_initializing);
            if (likely(!unsafe || !__Pyx_PyObject_IsTrue(unsafe))) {
                Py_DECREF(spec);
                spec = NULL;
            }
            Py_XDECREF(unsafe);
        }
        if (likely(!spec)) {
            PyErr_Clear();
            return module;
        }
        Py_DECREF(spec);
        Py_DECREF(module);
    } else if (PyErr_Occurred()) {
        PyErr_Clear();
    }
#endif
    return __Pyx__ImportDottedModule(name, parts_tuple);
}

/* 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);
}
#if PY_MAJOR_VERSION == 2
static int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject* exc_type2) {
    PyObject *exception, *value, *tb;
    int res;
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    __Pyx_ErrFetch(&exception, &value, &tb);
    res = exc_type1 ? PyObject_IsSubclass(err, exc_type1) : 0;
    if (unlikely(res == -1)) {
        PyErr_WriteUnraisable(err);
        res = 0;
    }
    if (!res) {
        res = PyObject_IsSubclass(err, exc_type2);
        if (unlikely(res == -1)) {
            PyErr_WriteUnraisable(err);
            res = 0;
        }
    }
    __Pyx_ErrRestore(exception, value, tb);
    return res;
}
#else
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);
    }
}
#endif
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);
#if PY_MAJOR_VERSION >= 3
    for (i=0; i<n; i++) {
        if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
    }
#endif
    for (i=0; i<n; i++) {
        PyObject *t = PyTuple_GET_ITEM(tuple, i);
        #if PY_MAJOR_VERSION < 3
        if (likely(exc_type == t)) return 1;
        #endif
        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 */
static PyObject* __Pyx_PySequence_Multiply_Generic(PyObject *seq, Py_ssize_t mul) {
    PyObject *result, *pymul = PyInt_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) {
#if CYTHON_USE_TYPE_SLOTS
    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
#endif
    {
        return __Pyx_PySequence_Multiply_Generic(seq, mul);
    }
}

/* 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,
                                               CYTHON_NCP_UNUSED int wraparound, CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS && CYTHON_USE_TYPE_SLOTS
    if (is_list || PyList_CheckExact(o)) {
        Py_ssize_t n = (!wraparound) ? i : ((likely(i >= 0)) ? i : i + PyList_GET_SIZE(o));
        if ((!boundscheck) || likely(__Pyx_is_valid_index(n, PyList_GET_SIZE(o)))) {
            PyObject* old = PyList_GET_ITEM(o, n);
            Py_INCREF(v);
            PyList_SET_ITEM(o, n, v);
            Py_DECREF(old);
            return 1;
        }
    } else {
        PyMappingMethods *mm = Py_TYPE(o)->tp_as_mapping;
        PySequenceMethods *sm = Py_TYPE(o)->tp_as_sequence;
        if (mm && mm->mp_ass_subscript) {
            int r;
            PyObject *key = PyInt_FromSsize_t(i);
            if (unlikely(!key)) return -1;
            r = mm->mp_ass_subscript(o, key, v);
            Py_DECREF(key);
            return r;
        }
        if (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
    return __Pyx_SetItemInt_Generic(o, PyInt_FromSsize_t(i), v);
}

/* RaiseUnboundLocalError */
static CYTHON_INLINE 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) {
    long q = a / b;
    long r = a - q*b;
    q -= ((r != 0) & ((r ^ b) < 0));
    return q;
}

/* ImportFrom */
static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name) {
    PyObject* value = __Pyx_PyObject_GetAttrStr(module, name);
    if (unlikely(!value) && PyErr_ExceptionMatches(PyExc_AttributeError)) {
        const char* module_name_str = 0;
        PyObject* module_name = 0;
        PyObject* module_dot = 0;
        PyObject* full_name = 0;
        PyErr_Clear();
        module_name_str = PyModule_GetName(module);
        if (unlikely(!module_name_str)) { goto modbad; }
        module_name = PyUnicode_FromString(module_name_str);
        if (unlikely(!module_name)) { goto modbad; }
        module_dot = PyUnicode_Concat(module_name, __pyx_kp_u__2);
        if (unlikely(!module_dot)) { goto modbad; }
        full_name = PyUnicode_Concat(module_dot, name);
        if (unlikely(!full_name)) { goto modbad; }
        #if PY_VERSION_HEX < 0x030700A1 || (CYTHON_COMPILING_IN_PYPY && PYPY_VERSION_NUM  < 0x07030400)
        {
            PyObject *modules = PyImport_GetModuleDict();
            if (unlikely(!modules))
                goto modbad;
            value = PyObject_GetItem(modules, full_name);
        }
        #else
        value = PyImport_GetModule(full_name);
        #endif
      modbad:
        Py_XDECREF(full_name);
        Py_XDECREF(module_dot);
        Py_XDECREF(module_name);
    }
    if (unlikely(!value)) {
        PyErr_Format(PyExc_ImportError,
        #if PY_MAJOR_VERSION < 3
            "cannot import name %.230s", PyString_AS_STRING(name));
        #else
            "cannot import name %S", name);
        #endif
    }
    return value;
}

/* HasAttr */
static CYTHON_INLINE int __Pyx_HasAttr(PyObject *o, PyObject *n) {
    PyObject *r;
    if (unlikely(!__Pyx_PyBaseString_Check(n))) {
        PyErr_SetString(PyExc_TypeError,
                        "hasattr(): attribute name must be string");
        return -1;
    }
    r = __Pyx_GetAttr(o, n);
    if (!r) {
        PyErr_Clear();
        return 0;
    } else {
        Py_DECREF(r);
        return 1;
    }
}

/* PyObject_GenericGetAttrNoDict */
#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
static PyObject *__Pyx_RaiseGenericGetAttributeError(PyTypeObject *tp, PyObject *attr_name) {
    __Pyx_TypeName type_name = __Pyx_PyType_GetName(tp);
    PyErr_Format(PyExc_AttributeError,
#if PY_MAJOR_VERSION >= 3
                 "'" __Pyx_FMT_TYPENAME "' object has no attribute '%U'",
                 type_name, attr_name);
#else
                 "'" __Pyx_FMT_TYPENAME "' object has no attribute '%.400s'",
                 type_name, PyString_AS_STRING(attr_name));
#endif
    __Pyx_DECREF_TypeName(type_name);
    return NULL;
}
static CYTHON_INLINE PyObject* __Pyx_PyObject_GenericGetAttrNoDict(PyObject* obj, PyObject* attr_name) {
    PyObject *descr;
    PyTypeObject *tp = Py_TYPE(obj);
    if (unlikely(!PyString_Check(attr_name))) {
        return PyObject_GenericGetAttr(obj, attr_name);
    }
    assert(!tp->tp_dictoffset);
    descr = _PyType_Lookup(tp, attr_name);
    if (unlikely(!descr)) {
        return __Pyx_RaiseGenericGetAttributeError(tp, attr_name);
    }
    Py_INCREF(descr);
    #if PY_MAJOR_VERSION < 3
    if (likely(PyType_HasFeature(Py_TYPE(descr), Py_TPFLAGS_HAVE_CLASS)))
    #endif
    {
        descrgetfunc f = Py_TYPE(descr)->tp_descr_get;
        if (unlikely(f)) {
            PyObject *res = f(descr, obj, (PyObject *)tp);
            Py_DECREF(descr);
            return res;
        }
    }
    return descr;
}
#endif

/* PyObject_GenericGetAttr */
#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
static PyObject* __Pyx_PyObject_GenericGetAttr(PyObject* obj, PyObject* attr_name) {
    if (unlikely(Py_TYPE(obj)->tp_dictoffset)) {
        return PyObject_GenericGetAttr(obj, attr_name);
    }
    return __Pyx_PyObject_GenericGetAttrNoDict(obj, attr_name);
}
#endif

/* FixUpExtensionType */
#if CYTHON_USE_TYPE_SPECS
static int __Pyx_fix_up_extension_type_from_spec(PyType_Spec *spec, PyTypeObject *type) {
#if PY_VERSION_HEX > 0x030900B1 || CYTHON_COMPILING_IN_LIMITED_API
    CYTHON_UNUSED_VAR(spec);
    CYTHON_UNUSED_VAR(type);
#else
    const PyType_Slot *slot = spec->slots;
    while (slot && slot->slot && slot->slot != Py_tp_members)
        slot++;
    if (slot && slot->slot == Py_tp_members) {
        int changed = 0;
#if !(PY_VERSION_HEX <= 0x030900b1 && CYTHON_COMPILING_IN_CPYTHON)
        const
#endif
            PyMemberDef *memb = (PyMemberDef*) slot->pfunc;
        while (memb && memb->name) {
            if (memb->name[0] == '_' && memb->name[1] == '_') {
#if PY_VERSION_HEX < 0x030900b1
                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);
#if PY_VERSION_HEX >= 0x030800b4
                    type->tp_vectorcall_offset = memb->offset;
#else
                    type->tp_print = (printfunc) memb->offset;
#endif
                    changed = 1;
                }
#endif
#else
                if ((0));
#endif
#if PY_VERSION_HEX <= 0x030900b1 && CYTHON_COMPILING_IN_CPYTHON
                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;
                    if (unlikely(PyDict_SetItem(type->tp_dict, PyDescr_NAME(descr), descr) < 0)) {
                        Py_DECREF(descr);
                        return -1;
                    }
                    Py_DECREF(descr);
                    changed = 1;
                }
#endif
            }
            memb++;
        }
        if (changed)
            PyType_Modified(type);
    }
#endif
    return 0;
}
#endif

/* PyObjectCallNoArg */
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 */
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))
#elif PY_MAJOR_VERSION >= 3
        #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
#else
        #ifdef __Pyx_CyFunction_USED
        if (likely(PyFunction_Check(descr) || __Pyx_CyFunction_Check(descr)))
        #else
        if (likely(PyFunction_Check(descr)))
        #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_GetName(tp);
    PyErr_Format(PyExc_AttributeError,
#if PY_MAJOR_VERSION >= 3
                 "'" __Pyx_FMT_TYPENAME "' object has no attribute '%U'",
                 type_name, name);
#else
                 "'" __Pyx_FMT_TYPENAME "' object has no attribute '%.400s'",
                 type_name, PyString_AS_STRING(name));
#endif
    __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;
}

/* PyObjectCallMethod0 */
static PyObject* __Pyx_PyObject_CallMethod0(PyObject* obj, PyObject* method_name) {
    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;
}

/* ValidateBasesTuple */
#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_MACROS
    n = PyTuple_GET_SIZE(bases);
#else
    n = PyTuple_Size(bases);
    if (n < 0) return -1;
#endif
    for (i = 1; i < n; i++)
    {
#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
        PyTypeObject *b;
#if PY_MAJOR_VERSION < 3
        if (PyClass_Check(b0))
        {
            PyErr_Format(PyExc_TypeError, "base class '%.200s' is an old-style class",
                         PyString_AS_STRING(((PyClassObject*)b0)->cl_name));
#if CYTHON_AVOID_BORROWED_REFS
            Py_DECREF(b0);
#endif
            return -1;
        }
#endif
        b = (PyTypeObject*) b0;
        if (!__Pyx_PyType_HasFeature(b, Py_TPFLAGS_HEAPTYPE))
        {
            __Pyx_TypeName b_name = __Pyx_PyType_GetName(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 || CYTHON_COMPILING_IN_PYPY
            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_GetName(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 || CYTHON_COMPILING_IN_PYPY)
              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 */
static int __Pyx_PyType_Ready(PyTypeObject *t) {
#if CYTHON_USE_TYPE_SPECS || !(CYTHON_COMPILING_IN_CPYTHON || CYTHON_COMPILING_IN_LIMITED_API) || 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;
    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 PY_VERSION_HEX >= 0x03050000 && !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 PY_VERSION_HEX >= 0x030700a1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM+0 >= 0x07030400)
        gc = PyImport_GetModule(__pyx_kp_u_gc);
        #endif
        if (unlikely(!gc)) gc = PyImport_Import(__pyx_kp_u_gc);
        if (unlikely(!gc)) return -1;
        py_status = __Pyx_PyObject_CallMethod0(gc, __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_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 PY_VERSION_HEX >= 0x03050000 && !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_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_n_s_pyx_vtable, ob) < 0))
#else
    if (unlikely(PyDict_SetItem(type->tp_dict, __pyx_n_s_pyx_vtable, ob) < 0))
#endif
        goto bad;
    Py_DECREF(ob);
    return 0;
bad:
    Py_XDECREF(ob);
    return -1;
}

/* GetVTable */
static void* __Pyx_GetVtable(PyTypeObject *type) {
    void* ptr;
#if CYTHON_COMPILING_IN_LIMITED_API
    PyObject *ob = PyObject_GetAttr((PyObject *)type, __pyx_n_s_pyx_vtable);
#else
    PyObject *ob = PyObject_GetItem(type->tp_dict, __pyx_n_s_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 */
#if !CYTHON_COMPILING_IN_LIMITED_API
static int __Pyx_MergeVtables(PyTypeObject *type) {
    int i;
    void** base_vtables;
    __Pyx_TypeName tp_base_name;
    __Pyx_TypeName base_name;
    void* unknown = (void*)-1;
    PyObject* bases = type->tp_bases;
    int base_depth = 0;
    {
        PyTypeObject* base = type->tp_base;
        while (base) {
            base_depth += 1;
            base = base->tp_base;
        }
    }
    base_vtables = (void**) malloc(sizeof(void*) * (size_t)(base_depth + 1));
    base_vtables[0] = unknown;
    for (i = 1; i < PyTuple_GET_SIZE(bases); i++) {
        void* base_vtable = __Pyx_GetVtable(((PyTypeObject*)PyTuple_GET_ITEM(bases, i)));
        if (base_vtable != NULL) {
            int j;
            PyTypeObject* base = type->tp_base;
            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 = base->tp_base;
            }
        }
    }
    PyErr_Clear();
    free(base_vtables);
    return 0;
bad:
    tp_base_name = __Pyx_PyType_GetName(type->tp_base);
    base_name = __Pyx_PyType_GetName((PyTypeObject*)PyTuple_GET_ITEM(bases, i));
    PyErr_Format(PyExc_TypeError,
        "multiple bases have vtable conflict: '" __Pyx_FMT_TYPENAME "' and '" __Pyx_FMT_TYPENAME "'", tp_base_name, base_name);
    __Pyx_DECREF_TypeName(tp_base_name);
    __Pyx_DECREF_TypeName(base_name);
    free(base_vtables);
    return -1;
}
#endif

/* SetupReduce */
#if !CYTHON_COMPILING_IN_LIMITED_API
static int __Pyx_setup_reduce_is_named(PyObject* meth, PyObject* name) {
  int ret;
  PyObject *name_attr;
  name_attr = __Pyx_PyObject_GetAttrStrNoError(meth, __pyx_n_s_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_n_s_getstate);
#else
    getstate = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_n_s_getstate);
    if (!getstate && PyErr_Occurred()) {
        goto __PYX_BAD;
    }
#endif
    if (getstate) {
#if CYTHON_USE_PYTYPE_LOOKUP
        object_getstate = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_getstate);
#else
        object_getstate = __Pyx_PyObject_GetAttrStrNoError((PyObject*)&PyBaseObject_Type, __pyx_n_s_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_n_s_reduce_ex); if (!object_reduce_ex) goto __PYX_BAD;
#else
    object_reduce_ex = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce_ex); if (!object_reduce_ex) goto __PYX_BAD;
#endif
    reduce_ex = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_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_n_s_reduce); if (!object_reduce) goto __PYX_BAD;
#else
        object_reduce = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce); if (!object_reduce) goto __PYX_BAD;
#endif
        reduce = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce); if (unlikely(!reduce)) goto __PYX_BAD;
        if (reduce == object_reduce || __Pyx_setup_reduce_is_named(reduce, __pyx_n_s_reduce_cython)) {
            reduce_cython = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_n_s_reduce_cython);
            if (likely(reduce_cython)) {
                ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce, reduce_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
                ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_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_n_s_setstate);
            if (!setstate) PyErr_Clear();
            if (!setstate || __Pyx_setup_reduce_is_named(setstate, __pyx_n_s_setstate_cython)) {
                setstate_cython = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_n_s_setstate_cython);
                if (likely(setstate_cython)) {
                    ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate, setstate_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
                    ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_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_GetName((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;
}
#endif

/* TypeImport */
#ifndef __PYX_HAVE_RT_ImportType_3_0_11
#define __PYX_HAVE_RT_ImportType_3_0_11
static PyTypeObject *__Pyx_ImportType_3_0_11(PyObject *module, const char *module_name, const char *class_name,
    size_t size, size_t alignment, enum __Pyx_ImportType_CheckSize_3_0_11 check_size)
{
    PyObject *result = 0;
    char warning[200];
    Py_ssize_t basicsize;
    Py_ssize_t itemsize;
#if 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 !CYTHON_COMPILING_IN_LIMITED_API
    basicsize = ((PyTypeObject *)result)->tp_basicsize;
    itemsize = ((PyTypeObject *)result)->tp_itemsize;
#else
    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_0_11 &&
            ((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_0_11 && (size_t)basicsize > size) {
        PyOS_snprintf(warning, sizeof(warning),
            "%s.%s size changed, may indicate binary incompatibility. "
            "Expected %zd from C header, got %zd from PyObject",
            module_name, class_name, size, basicsize);
        if (PyErr_WarnEx(NULL, warning, 0) < 0) goto bad;
    }
    return (PyTypeObject *)result;
bad:
    Py_XDECREF(result);
    return NULL;
}
#endif

/* CLineInTraceback */
#ifndef CYTHON_CLINE_IN_TRACEBACK
static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line) {
    PyObject *use_cline;
    PyObject *ptype, *pvalue, *ptraceback;
#if CYTHON_COMPILING_IN_CPYTHON
    PyObject **cython_runtime_dict;
#endif
    CYTHON_MAYBE_UNUSED_VAR(tstate);
    if (unlikely(!__pyx_cython_runtime)) {
        return c_line;
    }
    __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);
#if CYTHON_COMPILING_IN_CPYTHON
    cython_runtime_dict = _PyObject_GetDictPtr(__pyx_cython_runtime);
    if (likely(cython_runtime_dict)) {
        __PYX_PY_DICT_LOOKUP_IF_MODIFIED(
            use_cline, *cython_runtime_dict,
            __Pyx_PyDict_GetItemStr(*cython_runtime_dict, __pyx_n_s_cline_in_traceback))
    } else
#endif
    {
      PyObject *use_cline_obj = __Pyx_PyObject_GetAttrStrNoError(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback);
      if (use_cline_obj) {
        use_cline = PyObject_Not(use_cline_obj) ? Py_False : Py_True;
        Py_DECREF(use_cline_obj);
      } else {
        PyErr_Clear();
        use_cline = NULL;
      }
    }
    if (!use_cline) {
        c_line = 0;
        (void) PyObject_SetAttr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback, Py_False);
    }
    else if (use_cline == Py_False || (use_cline != Py_True && PyObject_Not(use_cline) != 0)) {
        c_line = 0;
    }
    __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback);
    return c_line;
}
#endif

/* CodeObjectCache */
#if !CYTHON_COMPILING_IN_LIMITED_API
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 PyCodeObject *__pyx_find_code_object(int code_line) {
    PyCodeObject* code_object;
    int pos;
    if (unlikely(!code_line) || unlikely(!__pyx_code_cache.entries)) {
        return NULL;
    }
    pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
    if (unlikely(pos >= __pyx_code_cache.count) || unlikely(__pyx_code_cache.entries[pos].code_line != code_line)) {
        return NULL;
    }
    code_object = __pyx_code_cache.entries[pos].code_object;
    Py_INCREF(code_object);
    return code_object;
}
static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object) {
    int pos, i;
    __Pyx_CodeObjectCacheEntry* entries = __pyx_code_cache.entries;
    if (unlikely(!code_line)) {
        return;
    }
    if (unlikely(!entries)) {
        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Malloc(64*sizeof(__Pyx_CodeObjectCacheEntry));
        if (likely(entries)) {
            __pyx_code_cache.entries = entries;
            __pyx_code_cache.max_count = 64;
            __pyx_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(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
    if ((pos < __pyx_code_cache.count) && unlikely(__pyx_code_cache.entries[pos].code_line == code_line)) {
        PyCodeObject* tmp = entries[pos].code_object;
        entries[pos].code_object = code_object;
        Py_DECREF(tmp);
        return;
    }
    if (__pyx_code_cache.count == __pyx_code_cache.max_count) {
        int new_max = __pyx_code_cache.max_count + 64;
        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Realloc(
            __pyx_code_cache.entries, ((size_t)new_max) * sizeof(__Pyx_CodeObjectCacheEntry));
        if (unlikely(!entries)) {
            return;
        }
        __pyx_code_cache.entries = entries;
        __pyx_code_cache.max_count = new_max;
    }
    for (i=__pyx_code_cache.count; i>pos; i--) {
        entries[i] = entries[i-1];
    }
    entries[pos].code_line = code_line;
    entries[pos].code_object = code_object;
    __pyx_code_cache.count++;
    Py_INCREF(code_object);
}
#endif

/* AddTraceback */
#include "compile.h"
#include "frameobject.h"
#include "traceback.h"
#if PY_VERSION_HEX >= 0x030b00a6 && !CYTHON_COMPILING_IN_LIMITED_API
  #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;
        result = PyObject_Call(replace, __pyx_empty_tuple, scratch_dict);
        Py_DECREF(replace);
        return result;
    }
    PyErr_Clear();
    #if __PYX_LIMITED_VERSION_HEX < 0x030780000
    {
        PyObject *compiled = NULL, *result = NULL;
        if (unlikely(PyDict_SetItemString(scratch_dict, "code", code))) return NULL;
        if (unlikely(PyDict_SetItemString(scratch_dict, "type", (PyObject*)(&PyType_Type)))) return NULL;
        compiled = Py_CompileString(
            "out = type(code)(\n"
            "  code.co_argcount, code.co_kwonlyargcount, code.co_nlocals, code.co_stacksize,\n"
            "  code.co_flags, code.co_code, code.co_consts, code.co_names,\n"
            "  code.co_varnames, code.co_filename, co_name, co_firstlineno,\n"
            "  code.co_lnotab)\n", "<dummy>", Py_file_input);
        if (!compiled) return NULL;
        result = PyEval_EvalCode(compiled, scratch_dict, scratch_dict);
        Py_DECREF(compiled);
        if (!result) PyErr_Print();
        Py_DECREF(result);
        result = PyDict_GetItemString(scratch_dict, "out");
        if (result) Py_INCREF(result);
        return result;
    }
    #else
    return NULL;
    #endif
}
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) {
        (void) __pyx_cfilenm;
        (void) __Pyx_CLineForTraceback(__Pyx_PyThreadState_Current, c_line);
    }
    PyErr_Fetch(&exc_type, &exc_value, &exc_traceback);
    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;
    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;
    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 PY_MAJOR_VERSION < 3
    PyObject *py_srcfile = NULL;
    py_srcfile = PyString_FromString(filename);
    if (!py_srcfile) goto bad;
    #endif
    if (c_line) {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        if (!py_funcname) goto bad;
        #else
        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;
        #endif
    }
    else {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromString(funcname);
        if (!py_funcname) goto bad;
        #endif
    }
    #if PY_MAJOR_VERSION < 3
    py_code = __Pyx_PyCode_New(
        0,
        0,
        0,
        0,
        0,
        0,
        __pyx_empty_bytes, /*PyObject *code,*/
        __pyx_empty_tuple, /*PyObject *consts,*/
        __pyx_empty_tuple, /*PyObject *names,*/
        __pyx_empty_tuple, /*PyObject *varnames,*/
        __pyx_empty_tuple, /*PyObject *freevars,*/
        __pyx_empty_tuple, /*PyObject *cellvars,*/
        py_srcfile,   /*PyObject *filename,*/
        py_funcname,  /*PyObject *name,*/
        py_line,
        __pyx_empty_bytes  /*PyObject *lnotab*/
    );
    Py_DECREF(py_srcfile);
    #else
    py_code = PyCode_NewEmpty(filename, funcname, py_line);
    #endif
    Py_XDECREF(py_funcname);
    return py_code;
bad:
    Py_XDECREF(py_funcname);
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(py_srcfile);
    #endif
    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_d,    /*PyObject *globals,*/
        0                  /*PyObject *locals*/
    );
    if (!py_frame) goto bad;
    __Pyx_PyFrame_SetLineNumber(py_frame, py_line);
    PyTraceBack_Here(py_frame);
bad:
    Py_XDECREF(py_code);
    Py_XDECREF(py_frame);
}
#endif

/* CIntFromPyVerify */
#define __PYX_VERIFY_RETURN_INT(target_type, func_type, func_value)\
    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 0)
#define __PYX_VERIFY_RETURN_INT_EXC(target_type, func_type, func_value)\
    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 1)
#define __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, exc)\
    {\
        func_type value = func_value;\
        if (sizeof(target_type) < sizeof(func_type)) {\
            if (unlikely(value != (func_type) (target_type) value)) {\
                func_type zero = 0;\
                if (exc && unlikely(value == (func_type)-1 && PyErr_Occurred()))\
                    return (target_type) -1;\
                if (is_unsigned && unlikely(value < zero))\
                    goto raise_neg_overflow;\
                else\
                    goto raise_overflow;\
            }\
        }\
        return (target_type) value;\
    }

/* Declarations */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
  #ifdef __cplusplus
    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
      return ::std::complex< float >(x, y);
    }
  #else
    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
      return x + y*(__pyx_t_float_complex)_Complex_I;
    }
  #endif
#else
    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
      __pyx_t_float_complex z;
      z.real = x;
      z.imag = y;
      return z;
    }
#endif

/* Arithmetic */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
#else
    static CYTHON_INLINE int __Pyx_c_eq_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
       return (a.real == b.real) && (a.imag == b.imag);
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sum_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real + b.real;
        z.imag = a.imag + b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_diff_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real - b.real;
        z.imag = a.imag - b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prod_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real * b.real - a.imag * b.imag;
        z.imag = a.real * b.imag + a.imag * b.real;
        return z;
    }
    #if 1
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        if (b.imag == 0) {
            return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else if (fabsf(b.real) >= fabsf(b.imag)) {
            if (b.real == 0 && b.imag == 0) {
                return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.imag);
            } else {
                float r = b.imag / b.real;
                float s = (float)(1.0) / (b.real + b.imag * r);
                return __pyx_t_float_complex_from_parts(
                    (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);
            }
        } else {
            float r = b.real / b.imag;
            float s = (float)(1.0) / (b.imag + b.real * r);
            return __pyx_t_float_complex_from_parts(
                (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);
        }
    }
    #else
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        if (b.imag == 0) {
            return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else {
            float denom = b.real * b.real + b.imag * b.imag;
            return __pyx_t_float_complex_from_parts(
                (a.real * b.real + a.imag * b.imag) / denom,
                (a.imag * b.real - a.real * b.imag) / denom);
        }
    }
    #endif
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_neg_float(__pyx_t_float_complex a) {
        __pyx_t_float_complex z;
        z.real = -a.real;
        z.imag = -a.imag;
        return z;
    }
    static CYTHON_INLINE int __Pyx_c_is_zero_float(__pyx_t_float_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conj_float(__pyx_t_float_complex a) {
        __pyx_t_float_complex z;
        z.real =  a.real;
        z.imag = -a.imag;
        return z;
    }
    #if 1
        static CYTHON_INLINE float __Pyx_c_abs_float(__pyx_t_float_complex z) {
          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
            return sqrtf(z.real*z.real + z.imag*z.imag);
          #else
            return hypotf(z.real, z.imag);
          #endif
        }
        static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_pow_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
            __pyx_t_float_complex z;
            float r, lnr, theta, z_r, z_theta;
            if (b.imag == 0 && b.real == (int)b.real) {
                if (b.real < 0) {
                    float denom = a.real * a.real + a.imag * a.imag;
                    a.real = a.real / denom;
                    a.imag = -a.imag / denom;
                    b.real = -b.real;
                }
                switch ((int)b.real) {
                    case 0:
                        z.real = 1;
                        z.imag = 0;
                        return z;
                    case 1:
                        return a;
                    case 2:
                        return __Pyx_c_prod_float(a, a);
                    case 3:
                        z = __Pyx_c_prod_float(a, a);
                        return __Pyx_c_prod_float(z, a);
                    case 4:
                        z = __Pyx_c_prod_float(a, a);
                        return __Pyx_c_prod_float(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                } else if ((b.imag == 0) && (a.real >= 0)) {
                    z.real = powf(a.real, b.real);
                    z.imag = 0;
                    return z;
                } else if (a.real > 0) {
                    r = a.real;
                    theta = 0;
                } else {
                    r = -a.real;
                    theta = atan2f(0.0, -1.0);
                }
            } else {
                r = __Pyx_c_abs_float(a);
                theta = atan2f(a.imag, a.real);
            }
            lnr = logf(r);
            z_r = expf(lnr * b.real - theta * b.imag);
            z_theta = theta * b.real + lnr * b.imag;
            z.real = z_r * cosf(z_theta);
            z.imag = z_r * sinf(z_theta);
            return z;
        }
    #endif
#endif

/* Declarations */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
  #ifdef __cplusplus
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      return ::std::complex< double >(x, y);
    }
  #else
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      return x + y*(__pyx_t_double_complex)_Complex_I;
    }
  #endif
#else
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      __pyx_t_double_complex z;
      z.real = x;
      z.imag = y;
      return z;
    }
#endif

/* Arithmetic */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
#else
    static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
       return (a.real == b.real) && (a.imag == b.imag);
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real + b.real;
        z.imag = a.imag + b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real - b.real;
        z.imag = a.imag - b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real * b.real - a.imag * b.imag;
        z.imag = a.real * b.imag + a.imag * b.real;
        return z;
    }
    #if 1
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        if (b.imag == 0) {
            return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else if (fabs(b.real) >= fabs(b.imag)) {
            if (b.real == 0 && b.imag == 0) {
                return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.imag);
            } else {
                double r = b.imag / b.real;
                double s = (double)(1.0) / (b.real + b.imag * r);
                return __pyx_t_double_complex_from_parts(
                    (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);
            }
        } else {
            double r = b.real / b.imag;
            double s = (double)(1.0) / (b.imag + b.real * r);
            return __pyx_t_double_complex_from_parts(
                (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);
        }
    }
    #else
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        if (b.imag == 0) {
            return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else {
            double denom = b.real * b.real + b.imag * b.imag;
            return __pyx_t_double_complex_from_parts(
                (a.real * b.real + a.imag * b.imag) / denom,
                (a.imag * b.real - a.real * b.imag) / denom);
        }
    }
    #endif
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex a) {
        __pyx_t_double_complex z;
        z.real = -a.real;
        z.imag = -a.imag;
        return z;
    }
    static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex a) {
        __pyx_t_double_complex z;
        z.real =  a.real;
        z.imag = -a.imag;
        return z;
    }
    #if 1
        static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex z) {
          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
            return sqrt(z.real*z.real + z.imag*z.imag);
          #else
            return hypot(z.real, z.imag);
          #endif
        }
        static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
            __pyx_t_double_complex z;
            double r, lnr, theta, z_r, z_theta;
            if (b.imag == 0 && b.real == (int)b.real) {
                if (b.real < 0) {
                    double denom = a.real * a.real + a.imag * a.imag;
                    a.real = a.real / denom;
                    a.imag = -a.imag / denom;
                    b.real = -b.real;
                }
                switch ((int)b.real) {
                    case 0:
                        z.real = 1;
                        z.imag = 0;
                        return z;
                    case 1:
                        return a;
                    case 2:
                        return __Pyx_c_prod_double(a, a);
                    case 3:
                        z = __Pyx_c_prod_double(a, a);
                        return __Pyx_c_prod_double(z, a);
                    case 4:
                        z = __Pyx_c_prod_double(a, a);
                        return __Pyx_c_prod_double(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                } else if ((b.imag == 0) && (a.real >= 0)) {
                    z.real = pow(a.real, b.real);
                    z.imag = 0;
                    return z;
                } else if (a.real > 0) {
                    r = a.real;
                    theta = 0;
                } else {
                    r = -a.real;
                    theta = atan2(0.0, -1.0);
                }
            } else {
                r = __Pyx_c_abs_double(a);
                theta = atan2(a.imag, a.real);
            }
            lnr = log(r);
            z_r = exp(lnr * b.real - theta * b.imag);
            z_theta = theta * b.real + lnr * b.imag;
            z.real = z_r * cos(z_theta);
            z.imag = z_r * sin(z_theta);
            return z;
        }
    #endif
#endif

/* Declarations */
#if CYTHON_CCOMPLEX && (1) && (!1 || __cplusplus)
  #ifdef __cplusplus
    static CYTHON_INLINE __pyx_t_npy_float64_complex __pyx_t_npy_float64_complex_from_parts(npy_float64 x, npy_float64 y) {
      return ::std::complex< npy_float64 >(x, y);
    }
  #else
    static CYTHON_INLINE __pyx_t_npy_float64_complex __pyx_t_npy_float64_complex_from_parts(npy_float64 x, npy_float64 y) {
      return x + y*(__pyx_t_npy_float64_complex)_Complex_I;
    }
  #endif
#else
    static CYTHON_INLINE __pyx_t_npy_float64_complex __pyx_t_npy_float64_complex_from_parts(npy_float64 x, npy_float64 y) {
      __pyx_t_npy_float64_complex z;
      z.real = x;
      z.imag = y;
      return z;
    }
#endif

/* Arithmetic */
#if CYTHON_CCOMPLEX && (1) && (!1 || __cplusplus)
#else
    static CYTHON_INLINE int __Pyx_c_eq_npy_float64(__pyx_t_npy_float64_complex a, __pyx_t_npy_float64_complex b) {
       return (a.real == b.real) && (a.imag == b.imag);
    }
    static CYTHON_INLINE __pyx_t_npy_float64_complex __Pyx_c_sum_npy_float64(__pyx_t_npy_float64_complex a, __pyx_t_npy_float64_complex b) {
        __pyx_t_npy_float64_complex z;
        z.real = a.real + b.real;
        z.imag = a.imag + b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_npy_float64_complex __Pyx_c_diff_npy_float64(__pyx_t_npy_float64_complex a, __pyx_t_npy_float64_complex b) {
        __pyx_t_npy_float64_complex z;
        z.real = a.real - b.real;
        z.imag = a.imag - b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_npy_float64_complex __Pyx_c_prod_npy_float64(__pyx_t_npy_float64_complex a, __pyx_t_npy_float64_complex b) {
        __pyx_t_npy_float64_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_npy_float64_complex __Pyx_c_quot_npy_float64(__pyx_t_npy_float64_complex a, __pyx_t_npy_float64_complex b) {
        if (b.imag == 0) {
            return __pyx_t_npy_float64_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_npy_float64_complex_from_parts(a.real / b.real, a.imag / b.imag);
            } else {
                npy_float64 r = b.imag / b.real;
                npy_float64 s = (npy_float64)(1.0) / (b.real + b.imag * r);
                return __pyx_t_npy_float64_complex_from_parts(
                    (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);
            }
        } else {
            npy_float64 r = b.real / b.imag;
            npy_float64 s = (npy_float64)(1.0) / (b.imag + b.real * r);
            return __pyx_t_npy_float64_complex_from_parts(
                (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);
        }
    }
    #else
    static CYTHON_INLINE __pyx_t_npy_float64_complex __Pyx_c_quot_npy_float64(__pyx_t_npy_float64_complex a, __pyx_t_npy_float64_complex b) {
        if (b.imag == 0) {
            return __pyx_t_npy_float64_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else {
            npy_float64 denom = b.real * b.real + b.imag * b.imag;
            return __pyx_t_npy_float64_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_npy_float64_complex __Pyx_c_neg_npy_float64(__pyx_t_npy_float64_complex a) {
        __pyx_t_npy_float64_complex z;
        z.real = -a.real;
        z.imag = -a.imag;
        return z;
    }
    static CYTHON_INLINE int __Pyx_c_is_zero_npy_float64(__pyx_t_npy_float64_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_npy_float64_complex __Pyx_c_conj_npy_float64(__pyx_t_npy_float64_complex a) {
        __pyx_t_npy_float64_complex z;
        z.real =  a.real;
        z.imag = -a.imag;
        return z;
    }
    #if 1
        static CYTHON_INLINE npy_float64 __Pyx_c_abs_npy_float64(__pyx_t_npy_float64_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_npy_float64_complex __Pyx_c_pow_npy_float64(__pyx_t_npy_float64_complex a, __pyx_t_npy_float64_complex b) {
            __pyx_t_npy_float64_complex z;
            npy_float64 r, lnr, theta, z_r, z_theta;
            if (b.imag == 0 && b.real == (int)b.real) {
                if (b.real < 0) {
                    npy_float64 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_npy_float64(a, a);
                    case 3:
                        z = __Pyx_c_prod_npy_float64(a, a);
                        return __Pyx_c_prod_npy_float64(z, a);
                    case 4:
                        z = __Pyx_c_prod_npy_float64(a, a);
                        return __Pyx_c_prod_npy_float64(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_npy_float64(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) {
    Py_complex cval;
#if !CYTHON_COMPILING_IN_PYPY
    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);
}

/* FromPy */
static __pyx_t_double_complex __Pyx_PyComplex_As___pyx_t_double_complex(PyObject* o) {
    Py_complex cval;
#if !CYTHON_COMPILING_IN_PYPY
    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);
}

/* 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

#if PY_MAJOR_VERSION < 3
static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags) {
    __Pyx_TypeName obj_type_name;
    if (PyObject_CheckBuffer(obj)) return PyObject_GetBuffer(obj, view, flags);
        if (__Pyx_TypeCheck(obj, __pyx_array_type)) return __pyx_array_getbuffer(obj, view, flags);
        if (__Pyx_TypeCheck(obj, __pyx_memoryview_type)) return __pyx_memoryview_getbuffer(obj, view, flags);
    obj_type_name = __Pyx_PyType_GetName(Py_TYPE(obj));
    PyErr_Format(PyExc_TypeError,
                 "'" __Pyx_FMT_TYPENAME "' does not have the buffer interface",
                 obj_type_name);
    __Pyx_DECREF_TypeName(obj_type_name);
    return -1;
}
static void __Pyx_ReleaseBuffer(Py_buffer *view) {
    PyObject *obj = view->obj;
    if (!obj) return;
    if (PyObject_CheckBuffer(obj)) {
        PyBuffer_Release(view);
        return;
    }
    if ((0)) {}
    view->obj = NULL;
    Py_DECREF(obj);
}
#endif


/* 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);
}

/* CIntToPy */
static CYTHON_INLINE PyObject* __Pyx_PyInt_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 PyInt_FromLong((long) value);
        } else if (sizeof(int) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } 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 PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        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;
        PyObject *py_bytes = NULL, *arg_tuple = NULL, *kwds = 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;
        arg_tuple = PyTuple_Pack(2, py_bytes, order_str);
        if (!arg_tuple) goto limited_bad;
        if (!is_unsigned) {
            kwds = PyDict_New();
            if (!kwds) goto limited_bad;
            if (PyDict_SetItemString(kwds, "signed", __Pyx_NewRef(Py_True))) goto limited_bad;
        }
        result = PyObject_Call(from_bytes, arg_tuple, kwds);
        limited_bad:
        Py_XDECREF(kwds);
        Py_XDECREF(arg_tuple);
        Py_XDECREF(order_str);
        Py_XDECREF(py_bytes);
        Py_XDECREF(from_bytes);
        return result;
#endif
    }
}

/* CIntFromPy */
static CYTHON_INLINE int __Pyx_PyInt_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 PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if ((sizeof(int) < sizeof(long))) {
            __PYX_VERIFY_RETURN_INT(int, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (int) val;
        }
    }
#endif
    if (unlikely(!PyLong_Check(x))) {
        int val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (int) -1;
        val = __Pyx_PyInt_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))
#ifdef HAVE_LONG_LONG
        } else if ((sizeof(int) <= sizeof(unsigned PY_LONG_LONG))) {
            __PYX_VERIFY_RETURN_INT_EXC(int, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
        }
    } 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))
#ifdef HAVE_LONG_LONG
        } else if ((sizeof(int) <= sizeof(PY_LONG_LONG))) {
            __PYX_VERIFY_RETURN_INT_EXC(int, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
        }
    }
    {
        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;
}

/* MemviewSliceCopyTemplate */
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 = { 0, 0, { 0 }, { 0 }, { 0 } };
    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 = PyInt_FromSsize_t(from_mvs->shape[i]);
        if(unlikely(!temp_int)) {
            goto fail;
        } else {
            PyTuple_SET_ITEM(shape_tuple, i, temp_int);
            temp_int = NULL;
        }
    }
    array_obj = __pyx_array_new(shape_tuple, sizeof_dtype, buf->format, (char *) 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(new_mvs.memview);
    new_mvs.memview = NULL;
    new_mvs.data = NULL;
no_fail:
    __Pyx_XDECREF(shape_tuple);
    __Pyx_XDECREF(temp_int);
    __Pyx_XDECREF(array_obj);
    __Pyx_RefNannyFinishContext();
    return new_mvs;
}

/* 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(memview);
    }
    retval = 0;
    goto no_fail;
fail:
    memviewslice->memview = 0;
    memviewslice->data = 0;
    retval = -1;
no_fail:
    __Pyx_RefNannyFinishContext();
    return retval;
}
#ifndef Py_NO_RETURN
#define Py_NO_RETURN
#endif
static void __pyx_fatalerror(const char *fmt, ...) Py_NO_RETURN {
    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);
    }
}

/* CIntFromPy */
static CYTHON_INLINE long __Pyx_PyInt_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 PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if ((sizeof(long) < sizeof(long))) {
            __PYX_VERIFY_RETURN_INT(long, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (long) val;
        }
    }
#endif
    if (unlikely(!PyLong_Check(x))) {
        long val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (long) -1;
        val = __Pyx_PyInt_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))
#ifdef HAVE_LONG_LONG
        } else if ((sizeof(long) <= sizeof(unsigned PY_LONG_LONG))) {
            __PYX_VERIFY_RETURN_INT_EXC(long, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
        }
    } 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))
#ifdef HAVE_LONG_LONG
        } else if ((sizeof(long) <= sizeof(PY_LONG_LONG))) {
            __PYX_VERIFY_RETURN_INT_EXC(long, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
        }
    }
    {
        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_PyInt_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 PyInt_FromLong((long) value);
        } else if (sizeof(long) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } 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 PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        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;
        PyObject *py_bytes = NULL, *arg_tuple = NULL, *kwds = 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;
        arg_tuple = PyTuple_Pack(2, py_bytes, order_str);
        if (!arg_tuple) goto limited_bad;
        if (!is_unsigned) {
            kwds = PyDict_New();
            if (!kwds) goto limited_bad;
            if (PyDict_SetItemString(kwds, "signed", __Pyx_NewRef(Py_True))) goto limited_bad;
        }
        result = PyObject_Call(from_bytes, arg_tuple, kwds);
        limited_bad:
        Py_XDECREF(kwds);
        Py_XDECREF(arg_tuple);
        Py_XDECREF(order_str);
        Py_XDECREF(py_bytes);
        Py_XDECREF(from_bytes);
        return result;
#endif
    }
}

/* CIntFromPy */
static CYTHON_INLINE char __Pyx_PyInt_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 PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if ((sizeof(char) < sizeof(long))) {
            __PYX_VERIFY_RETURN_INT(char, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (char) val;
        }
    }
#endif
    if (unlikely(!PyLong_Check(x))) {
        char val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (char) -1;
        val = __Pyx_PyInt_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))
#ifdef HAVE_LONG_LONG
        } else if ((sizeof(char) <= sizeof(unsigned PY_LONG_LONG))) {
            __PYX_VERIFY_RETURN_INT_EXC(char, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
        }
    } 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))
#ifdef HAVE_LONG_LONG
        } else if ((sizeof(char) <= sizeof(PY_LONG_LONG))) {
            __PYX_VERIFY_RETURN_INT_EXC(char, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
        }
    }
    {
        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
static __Pyx_TypeName
__Pyx_PyType_GetName(PyTypeObject* tp)
{
    PyObject *name = __Pyx_PyObject_GetAttrStr((PyObject *)tp,
                                               __pyx_n_s_name_2);
    if (unlikely(name == NULL) || unlikely(!PyUnicode_Check(name))) {
        PyErr_Clear();
        Py_XDECREF(name);
        name = __Pyx_NewRef(__pyx_n_s__22);
    }
    return name;
}
#endif

/* CheckBinaryVersion */
static unsigned long __Pyx_get_runtime_version(void) {
#if __PYX_LIMITED_VERSION_HEX >= 0x030B00A4
    return Py_Version & ~0xFFUL;
#else
    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;
    }
    return version;
#endif
}
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);
    }
}

/* FunctionExport */
static int __Pyx_ExportFunction(const char *name, void (*f)(void), const char *sig) {
    PyObject *d = 0;
    PyObject *cobj = 0;
    union {
        void (*fp)(void);
        void *p;
    } tmp;
    d = PyObject_GetAttrString(__pyx_m, (char *)"__pyx_capi__");
    if (!d) {
        PyErr_Clear();
        d = PyDict_New();
        if (!d)
            goto bad;
        Py_INCREF(d);
        if (PyModule_AddObject(__pyx_m, (char *)"__pyx_capi__", d) < 0)
            goto bad;
    }
    tmp.fp = f;
    cobj = PyCapsule_New(tmp.p, sig, 0);
    if (!cobj)
        goto bad;
    if (PyDict_SetItemString(d, name, cobj) < 0)
        goto bad;
    Py_DECREF(cobj);
    Py_DECREF(d);
    return 0;
bad:
    Py_XDECREF(cobj);
    Py_XDECREF(d);
    return -1;
}

/* VoidPtrImport */
#ifndef __PYX_HAVE_RT_ImportVoidPtr_3_0_11
#define __PYX_HAVE_RT_ImportVoidPtr_3_0_11
static int __Pyx_ImportVoidPtr_3_0_11(PyObject *module, const char *name, void **p, const char *sig) {
    PyObject *d = 0;
    PyObject *cobj = 0;
    d = PyObject_GetAttrString(module, (char *)"__pyx_capi__");
    if (!d)
        goto bad;
    cobj = PyDict_GetItemString(d, name);
    if (!cobj) {
        PyErr_Format(PyExc_ImportError,
            "%.200s does not export expected C variable %.200s",
                PyModule_GetName(module), name);
        goto bad;
    }
    if (!PyCapsule_IsValid(cobj, sig)) {
        PyErr_Format(PyExc_TypeError,
            "C variable %.200s.%.200s has wrong signature (expected %.500s, got %.500s)",
             PyModule_GetName(module), name, sig, PyCapsule_GetName(cobj));
        goto bad;
    }
    *p = PyCapsule_GetPointer(cobj, sig);
    if (!(*p))
        goto bad;
    Py_DECREF(d);
    return 0;
bad:
    Py_XDECREF(d);
    return -1;
}
#endif

/* FunctionImport */
#ifndef __PYX_HAVE_RT_ImportFunction_3_0_11
#define __PYX_HAVE_RT_ImportFunction_3_0_11
static int __Pyx_ImportFunction_3_0_11(PyObject *module, const char *funcname, void (**f)(void), const char *sig) {
    PyObject *d = 0;
    PyObject *cobj = 0;
    union {
        void (*fp)(void);
        void *p;
    } tmp;
    d = PyObject_GetAttrString(module, (char *)"__pyx_capi__");
    if (!d)
        goto bad;
    cobj = PyDict_GetItemString(d, funcname);
    if (!cobj) {
        PyErr_Format(PyExc_ImportError,
            "%.200s does not export expected C function %.200s",
                PyModule_GetName(module), funcname);
        goto bad;
    }
    if (!PyCapsule_IsValid(cobj, sig)) {
        PyErr_Format(PyExc_TypeError,
            "C function %.200s.%.200s has wrong signature (expected %.500s, got %.500s)",
             PyModule_GetName(module), funcname, sig, PyCapsule_GetName(cobj));
        goto bad;
    }
    tmp.p = PyCapsule_GetPointer(cobj, sig);
    *f = tmp.fp;
    if (!(*f))
        goto bad;
    Py_DECREF(d);
    return 0;
bad:
    Py_XDECREF(d);
    return -1;
}
#endif

/* InitStrings */
#if PY_MAJOR_VERSION >= 3
static int __Pyx_InitString(__Pyx_StringTabEntry t, PyObject **str) {
    if (t.is_unicode | t.is_str) {
        if (t.intern) {
            *str = PyUnicode_InternFromString(t.s);
        } else if (t.encoding) {
            *str = PyUnicode_Decode(t.s, t.n - 1, t.encoding, NULL);
        } else {
            *str = PyUnicode_FromStringAndSize(t.s, t.n - 1);
        }
    } else {
        *str = PyBytes_FromStringAndSize(t.s, t.n - 1);
    }
    if (!*str)
        return -1;
    if (PyObject_Hash(*str) == -1)
        return -1;
    return 0;
}
#endif
static int __Pyx_InitStrings(__Pyx_StringTabEntry *t) {
    while (t->p) {
        #if PY_MAJOR_VERSION >= 3
        __Pyx_InitString(*t, t->p);
        #else
        if (t->is_unicode) {
            *t->p = PyUnicode_DecodeUTF8(t->s, t->n - 1, NULL);
        } else if (t->intern) {
            *t->p = PyString_InternFromString(t->s);
        } else {
            *t->p = PyString_FromStringAndSize(t->s, t->n - 1);
        }
        if (!*t->p)
            return -1;
        if (PyObject_Hash(*t->p) == -1)
            return -1;
        #endif
        ++t;
    }
    return 0;
}

#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_DEFAULT
#if !CYTHON_PEP393_ENABLED
static const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
    char* defenc_c;
    PyObject* defenc = _PyUnicode_AsDefaultEncodedString(o, NULL);
    if (!defenc) return NULL;
    defenc_c = PyBytes_AS_STRING(defenc);
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
    {
        char* end = defenc_c + PyBytes_GET_SIZE(defenc);
        char* c;
        for (c = defenc_c; c < end; c++) {
            if ((unsigned char) (*c) >= 128) {
                PyUnicode_AsASCIIString(o);
                return NULL;
            }
        }
    }
#endif
    *length = PyBytes_GET_SIZE(defenc);
    return defenc_c;
}
#else
static CYTHON_INLINE const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
    if (unlikely(__Pyx_PyUnicode_READY(o) == -1)) return NULL;
#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_DEFAULT
    if (
#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
            __Pyx_sys_getdefaultencoding_not_ascii &&
#endif
            PyUnicode_Check(o)) {
        return __Pyx_PyUnicode_AsStringAndSize(o, length);
    } else
#endif
#if (!CYTHON_COMPILING_IN_PYPY && !CYTHON_COMPILING_IN_LIMITED_API) || (defined(PyByteArray_AS_STRING) && defined(PyByteArray_GET_SIZE))
    if (PyByteArray_Check(o)) {
        *length = PyByteArray_GET_SIZE(o);
        return PyByteArray_AS_STRING(o);
    } else
#endif
    {
        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_IntOrLongWrongResultType(PyObject* result, const char* type_name) {
    __Pyx_TypeName result_type_name = __Pyx_PyType_GetName(Py_TYPE(result));
#if PY_MAJOR_VERSION >= 3
    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;
    }
#endif
    PyErr_Format(PyExc_TypeError,
                 "__%.4s__ returned non-%.4s (type " __Pyx_FMT_TYPENAME ")",
                 type_name, type_name, result_type_name);
    __Pyx_DECREF_TypeName(result_type_name);
    Py_DECREF(result);
    return NULL;
}
static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x) {
#if CYTHON_USE_TYPE_SLOTS
  PyNumberMethods *m;
#endif
  const char *name = NULL;
  PyObject *res = NULL;
#if PY_MAJOR_VERSION < 3
  if (likely(PyInt_Check(x) || PyLong_Check(x)))
#else
  if (likely(PyLong_Check(x)))
#endif
    return __Pyx_NewRef(x);
#if CYTHON_USE_TYPE_SLOTS
  m = Py_TYPE(x)->tp_as_number;
  #if PY_MAJOR_VERSION < 3
  if (m && m->nb_int) {
    name = "int";
    res = m->nb_int(x);
  }
  else if (m && m->nb_long) {
    name = "long";
    res = m->nb_long(x);
  }
  #else
  if (likely(m && m->nb_int)) {
    name = "int";
    res = m->nb_int(x);
  }
  #endif
#else
  if (!PyBytes_CheckExact(x) && !PyUnicode_CheckExact(x)) {
    res = PyNumber_Int(x);
  }
#endif
  if (likely(res)) {
#if PY_MAJOR_VERSION < 3
    if (unlikely(!PyInt_Check(res) && !PyLong_Check(res))) {
#else
    if (unlikely(!PyLong_CheckExact(res))) {
#endif
        return __Pyx_PyNumber_IntOrLongWrongResultType(res, name);
    }
  }
  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 PY_MAJOR_VERSION < 3
  if (likely(PyInt_CheckExact(b))) {
    if (sizeof(Py_ssize_t) >= sizeof(long))
        return PyInt_AS_LONG(b);
    else
        return PyInt_AsSsize_t(b);
  }
#endif
  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 = PyInt_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);
#if PY_MAJOR_VERSION < 3
  } else if (likely(PyInt_CheckExact(o))) {
    return PyInt_AS_LONG(o);
#endif
  } else {
    Py_ssize_t ival;
    PyObject *x;
    x = PyNumber_Index(o);
    if (!x) return -1;
    ival = PyInt_AsLong(x);
    Py_DECREF(x);
    return ival;
  }
}
static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b) {
  return b ? __Pyx_NewRef(Py_True) : __Pyx_NewRef(Py_False);
}
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
    return PyInt_FromSize_t(ival);
}


/* #### Code section: utility_code_pragmas_end ### */
#ifdef _MSC_VER
#pragma warning( pop )
#endif



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