/* Generated by Cython 0.29.14 */

/* BEGIN: Cython Metadata
{
    "distutils": {
        "depends": [],
        "name": "pomegranate.hmm",
        "sources": [
            "pomegranate/hmm.pyx"
        ]
    },
    "module_name": "pomegranate.hmm"
}
END: Cython Metadata */

#define PY_SSIZE_T_CLEAN
#include "Python.h"
#ifndef Py_PYTHON_H
    #error Python headers needed to compile C extensions, please install development version of Python.
#elif PY_VERSION_HEX < 0x02060000 || (0x03000000 <= PY_VERSION_HEX && PY_VERSION_HEX < 0x03030000)
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#define CYTHON_ABI "0_29_14"
#define CYTHON_HEX_VERSION 0x001D0EF0
#define CYTHON_FUTURE_DIVISION 0
#include <stddef.h>
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#ifndef DL_EXPORT
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#define __PYX_COMMA ,
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  #define CYTHON_FAST_THREAD_STATE 0
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  #define CYTHON_FAST_PYCALL 0
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  #define CYTHON_USE_PYLIST_INTERNALS 0
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    #define CYTHON_USE_UNICODE_INTERNALS 1
  #endif
  #undef CYTHON_USE_UNICODE_WRITER
  #define CYTHON_USE_UNICODE_WRITER 0
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  #define CYTHON_USE_PYLONG_INTERNALS 0
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  #ifndef CYTHON_ASSUME_SAFE_MACROS
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    #define CYTHON_USE_PYTYPE_LOOKUP 0
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  #ifndef CYTHON_FAST_PYCALL
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#if !defined(CYTHON_FAST_PYCCALL)
#define CYTHON_FAST_PYCCALL  (CYTHON_FAST_PYCALL && PY_VERSION_HEX >= 0x030600B1)
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#if CYTHON_USE_PYLONG_INTERNALS
  #include "longintrepr.h"
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  #ifdef SIZEOF_VOID_P
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#ifndef __has_attribute
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#ifndef __has_cpp_attribute
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#ifndef CYTHON_RESTRICT
  #if defined(__GNUC__)
    #define CYTHON_RESTRICT __restrict__
  #elif defined(_MSC_VER) && _MSC_VER >= 1400
    #define CYTHON_RESTRICT __restrict
  #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
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    #define CYTHON_RESTRICT
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#ifndef CYTHON_UNUSED
# if defined(__GNUC__)
#   if !(defined(__cplusplus)) || (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 4))
#     define CYTHON_UNUSED __attribute__ ((__unused__))
#   else
#     define CYTHON_UNUSED
#   endif
# elif defined(__ICC) || (defined(__INTEL_COMPILER) && !defined(_MSC_VER))
#   define CYTHON_UNUSED __attribute__ ((__unused__))
# else
#   define CYTHON_UNUSED
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#ifndef CYTHON_MAYBE_UNUSED_VAR
#  if defined(__cplusplus)
     template<class T> void CYTHON_MAYBE_UNUSED_VAR( const T& ) { }
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#    define CYTHON_MAYBE_UNUSED_VAR(x) (void)(x)
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#ifndef CYTHON_NCP_UNUSED
# if CYTHON_COMPILING_IN_CPYTHON
#  define CYTHON_NCP_UNUSED
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#  define CYTHON_NCP_UNUSED CYTHON_UNUSED
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#define __Pyx_void_to_None(void_result) ((void)(void_result), Py_INCREF(Py_None), Py_None)
#ifdef _MSC_VER
    #ifndef _MSC_STDINT_H_
        #if _MSC_VER < 1300
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   #include <stdint.h>
#endif
#ifndef CYTHON_FALLTHROUGH
  #if defined(__cplusplus) && __cplusplus >= 201103L
    #if __has_cpp_attribute(fallthrough)
      #define CYTHON_FALLTHROUGH [[fallthrough]]
    #elif __has_cpp_attribute(clang::fallthrough)
      #define CYTHON_FALLTHROUGH [[clang::fallthrough]]
    #elif __has_cpp_attribute(gnu::fallthrough)
      #define CYTHON_FALLTHROUGH [[gnu::fallthrough]]
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  #ifndef CYTHON_FALLTHROUGH
    #if __has_attribute(fallthrough)
      #define CYTHON_FALLTHROUGH __attribute__((fallthrough))
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      #define CYTHON_FALLTHROUGH
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  #if defined(__clang__ ) && defined(__apple_build_version__)
    #if __apple_build_version__ < 7000000
      #undef  CYTHON_FALLTHROUGH
      #define CYTHON_FALLTHROUGH
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#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
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#if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x02070600 && !defined(Py_OptimizeFlag)
  #define Py_OptimizeFlag 0
#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_PyCode_New(a, 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)
  #define __Pyx_DefaultClassType PyClass_Type
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#if PY_VERSION_HEX >= 0x030800A4 && PY_VERSION_HEX < 0x030800B2
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  #define __Pyx_PyCode_New(a, 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)
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#ifndef Py_TPFLAGS_HAVE_NEWBUFFER
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#ifndef Py_TPFLAGS_HAVE_FINALIZE
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  typedef PyObject *(*__Pyx_PyCFunctionFastWithKeywords) (PyObject *self, PyObject *const *args,
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#if CYTHON_FAST_PYCCALL
#define __Pyx_PyFastCFunction_Check(func)\
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#define __Pyx_PyFastCFunction_Check(func) 0
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#if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Malloc)
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  #define PyObject_Free(p)     PyMem_Free(p)
  #define PyObject_Realloc(p)  PyMem_Realloc(p)
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#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030400A1
  #define PyMem_RawMalloc(n)           PyMem_Malloc(n)
  #define PyMem_RawRealloc(p, n)       PyMem_Realloc(p, n)
  #define PyMem_RawFree(p)             PyMem_Free(p)
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#if CYTHON_COMPILING_IN_PYSTON
  #define __Pyx_PyCode_HasFreeVars(co)  PyCode_HasFreeVars(co)
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno) PyFrame_SetLineNumber(frame, lineno)
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#elif PY_VERSION_HEX >= 0x03060000
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#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) {
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}
static CYTHON_INLINE Py_tss_t * PyThread_tss_alloc(void) {
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static CYTHON_INLINE void PyThread_tss_free(Py_tss_t *key) {
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}
static CYTHON_INLINE int PyThread_tss_is_created(Py_tss_t *key) {
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}
static CYTHON_INLINE void PyThread_tss_delete(Py_tss_t *key) {
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}
static CYTHON_INLINE int PyThread_tss_set(Py_tss_t *key, void *value) {
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}
static CYTHON_INLINE void * PyThread_tss_get(Py_tss_t *key) {
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#if CYTHON_COMPILING_IN_CPYTHON || defined(_PyDict_NewPresized)
#define __Pyx_PyDict_NewPresized(n)  ((n <= 8) ? PyDict_New() : _PyDict_NewPresized(n))
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#define __Pyx_PyDict_NewPresized(n)  PyDict_New()
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#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)
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  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_Divide(x,y)
  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceDivide(x,y)
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#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1 && CYTHON_USE_UNICODE_INTERNALS
#define __Pyx_PyDict_GetItemStr(dict, name)  _PyDict_GetItem_KnownHash(dict, name, ((PyASCIIObject *) name)->hash)
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#define __Pyx_PyDict_GetItemStr(dict, name)  PyDict_GetItem(dict, name)
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#if PY_VERSION_HEX > 0x03030000 && defined(PyUnicode_KIND)
  #define CYTHON_PEP393_ENABLED 1
  #define __Pyx_PyUnicode_READY(op)       (likely(PyUnicode_IS_READY(op)) ?\
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  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GET_LENGTH(u)
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  #define __Pyx_PyUnicode_KIND(u)         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, ch)
  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : PyUnicode_GET_SIZE(u)))
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  #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) ? 65535 : 1114111)
  #define __Pyx_PyUnicode_KIND(u)         (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] = ch)
  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GET_SIZE(u))
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#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)
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  #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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#if CYTHON_COMPILING_IN_PYPY && !defined(PyUnicode_Contains)
  #define PyUnicode_Contains(u, s)  PySequence_Contains(u, s)
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#if CYTHON_COMPILING_IN_PYPY && !defined(PyByteArray_Check)
  #define PyByteArray_Check(obj)  PyObject_TypeCheck(obj, &PyByteArray_Type)
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#if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Format)
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#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)
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  #define __Pyx_PyString_Format(a, b)  PyString_Format(a, b)
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#if PY_MAJOR_VERSION < 3 && !defined(PyObject_ASCII)
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#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
  #define PyObject_Unicode             PyObject_Str
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#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
#ifndef PySet_CheckExact
  #define PySet_CheckExact(obj)        (Py_TYPE(obj) == &PySet_Type)
#endif
#if CYTHON_ASSUME_SAFE_MACROS
  #define __Pyx_PySequence_SIZE(seq)  Py_SIZE(seq)
#else
  #define __Pyx_PySequence_SIZE(seq)  PySequence_Size(seq)
#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 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
#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   PyInt_AsLong
#else
  #define __Pyx_PyInt_FromHash_t PyInt_FromSsize_t
  #define __Pyx_PyInt_AsHash_t   PyInt_AsSsize_t
#endif
#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyMethod_New(func, self, klass) ((self) ? PyMethod_New(func, self) : (Py_INCREF(func), func))
#else
  #define __Pyx_PyMethod_New(func, self, klass) PyMethod_New(func, self, klass)
#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(MS_WINDOWS)
  #define _USE_MATH_DEFINES
#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_ERR(f_index, lineno, Ln_error) \
{ \
  __pyx_filename = __pyx_f[f_index]; __pyx_lineno = lineno; __pyx_clineno = __LINE__; goto Ln_error; \
}

#ifndef __PYX_EXTERN_C
  #ifdef __cplusplus
    #define __PYX_EXTERN_C extern "C"
  #else
    #define __PYX_EXTERN_C extern
  #endif
#endif

#define __PYX_HAVE__pomegranate__hmm
#define __PYX_HAVE_API__pomegranate__hmm
/* Early includes */
#include <math.h>
#include <string.h>
#include <stdio.h>
#include "numpy/arrayobject.h"
#include "numpy/ndarrayobject.h"
#include "numpy/ndarraytypes.h"
#include "numpy/arrayscalars.h"
#include "numpy/ufuncobject.h"

    /* NumPy API declarations from "numpy/__init__.pxd" */
    
#include "numpy/npy_math.h"
#include <stdlib.h>
#include "pythread.h"
#include "pystate.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 const char* __Pyx_PyObject_AsString(PyObject*);
static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length);
#define __Pyx_PyByteArray_FromString(s) PyByteArray_FromStringAndSize((const char*)s, strlen((const char*)s))
#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_PyObject_AsString(s))
#define __Pyx_PyObject_AsWritableSString(s)    ((signed char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsWritableUString(s)    ((unsigned char*) __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)
static CYTHON_INLINE size_t __Pyx_Py_UNICODE_strlen(const Py_UNICODE *u) {
    const Py_UNICODE *u_end = u;
    while (*u_end++) ;
    return (size_t)(u_end - u - 1);
}
#define __Pyx_PyUnicode_FromUnicode(u)       PyUnicode_FromUnicode(u, __Pyx_Py_UNICODE_strlen(u))
#define __Pyx_PyUnicode_FromUnicodeAndLength PyUnicode_FromUnicode
#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);
#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
#define __Pyx_PyNumber_Float(x) (PyFloat_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Float(x))
#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
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] = 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
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; }

static PyObject *__pyx_m = NULL;
static PyObject *__pyx_d;
static PyObject *__pyx_b;
static PyObject *__pyx_cython_runtime = NULL;
static PyObject *__pyx_empty_tuple;
static PyObject *__pyx_empty_bytes;
static PyObject *__pyx_empty_unicode;
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)
    #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


static const char *__pyx_f[] = {
  "pomegranate/hmm.pyx",
  "__init__.pxd",
  "stringsource",
  "type.pxd",
  "pomegranate/base.pxd",
  "pomegranate/distributions/distributions.pxd",
  "pomegranate/distributions/DiscreteDistribution.pxd",
  "pomegranate/distributions/IndependentComponentsDistribution.pxd",
};
/* 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])

/* Atomics.proto */
#include <pythread.h>
#ifndef CYTHON_ATOMICS
    #define CYTHON_ATOMICS 1
#endif
#define __pyx_atomic_int_type int
#if CYTHON_ATOMICS && __GNUC__ >= 4 && (__GNUC_MINOR__ > 1 ||\
                    (__GNUC_MINOR__ == 1 && __GNUC_PATCHLEVEL >= 2)) &&\
                    !defined(__i386__)
    #define __pyx_atomic_incr_aligned(value, lock) __sync_fetch_and_add(value, 1)
    #define __pyx_atomic_decr_aligned(value, lock) __sync_fetch_and_sub(value, 1)
    #ifdef __PYX_DEBUG_ATOMICS
        #warning "Using GNU atomics"
    #endif
#elif CYTHON_ATOMICS && defined(_MSC_VER) && 0
    #include <Windows.h>
    #undef __pyx_atomic_int_type
    #define __pyx_atomic_int_type LONG
    #define __pyx_atomic_incr_aligned(value, lock) InterlockedIncrement(value)
    #define __pyx_atomic_decr_aligned(value, lock) InterlockedDecrement(value)
    #ifdef __PYX_DEBUG_ATOMICS
        #pragma message ("Using MSVC atomics")
    #endif
#elif CYTHON_ATOMICS && (defined(__ICC) || defined(__INTEL_COMPILER)) && 0
    #define __pyx_atomic_incr_aligned(value, lock) _InterlockedIncrement(value)
    #define __pyx_atomic_decr_aligned(value, lock) _InterlockedDecrement(value)
    #ifdef __PYX_DEBUG_ATOMICS
        #warning "Using Intel atomics"
    #endif
#else
    #undef CYTHON_ATOMICS
    #define CYTHON_ATOMICS 0
    #ifdef __PYX_DEBUG_ATOMICS
        #warning "Not using atomics"
    #endif
#endif
typedef volatile __pyx_atomic_int_type __pyx_atomic_int;
#if CYTHON_ATOMICS
    #define __pyx_add_acquisition_count(memview)\
             __pyx_atomic_incr_aligned(__pyx_get_slice_count_pointer(memview), memview->lock)
    #define __pyx_sub_acquisition_count(memview)\
            __pyx_atomic_decr_aligned(__pyx_get_slice_count_pointer(memview), memview->lock)
#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

/* 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()

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

/* BufferFormatStructs.proto */
#define IS_UNSIGNED(type) (((type) -1) > 0)
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;


/* "../../anaconda3/lib/python3.7/site-packages/numpy/__init__.pxd":690
 * # 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;

/* "../../anaconda3/lib/python3.7/site-packages/numpy/__init__.pxd":691
 * 
 * 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;

/* "../../anaconda3/lib/python3.7/site-packages/numpy/__init__.pxd":692
 * 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;

/* "../../anaconda3/lib/python3.7/site-packages/numpy/__init__.pxd":693
 * 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;

/* "../../anaconda3/lib/python3.7/site-packages/numpy/__init__.pxd":697
 * #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;

/* "../../anaconda3/lib/python3.7/site-packages/numpy/__init__.pxd":698
 * 
 * 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;

/* "../../anaconda3/lib/python3.7/site-packages/numpy/__init__.pxd":699
 * 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;

/* "../../anaconda3/lib/python3.7/site-packages/numpy/__init__.pxd":700
 * 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;

/* "../../anaconda3/lib/python3.7/site-packages/numpy/__init__.pxd":704
 * #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;

/* "../../anaconda3/lib/python3.7/site-packages/numpy/__init__.pxd":705
 * 
 * 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;

/* "../../anaconda3/lib/python3.7/site-packages/numpy/__init__.pxd":714
 * # The int types are mapped a bit surprising --
 * # numpy.int corresponds to 'l' and numpy.long to 'q'
 * ctypedef npy_long       int_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longlong   long_t
 * ctypedef npy_longlong   longlong_t
 */
typedef npy_long __pyx_t_5numpy_int_t;

/* "../../anaconda3/lib/python3.7/site-packages/numpy/__init__.pxd":715
 * # numpy.int corresponds to 'l' and numpy.long to 'q'
 * ctypedef npy_long       int_t
 * ctypedef npy_longlong   long_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longlong   longlong_t
 * 
 */
typedef npy_longlong __pyx_t_5numpy_long_t;

/* "../../anaconda3/lib/python3.7/site-packages/numpy/__init__.pxd":716
 * ctypedef npy_long       int_t
 * ctypedef npy_longlong   long_t
 * ctypedef npy_longlong   longlong_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_ulong      uint_t
 */
typedef npy_longlong __pyx_t_5numpy_longlong_t;

/* "../../anaconda3/lib/python3.7/site-packages/numpy/__init__.pxd":718
 * ctypedef npy_longlong   longlong_t
 * 
 * ctypedef npy_ulong      uint_t             # <<<<<<<<<<<<<<
 * ctypedef npy_ulonglong  ulong_t
 * ctypedef npy_ulonglong  ulonglong_t
 */
typedef npy_ulong __pyx_t_5numpy_uint_t;

/* "../../anaconda3/lib/python3.7/site-packages/numpy/__init__.pxd":719
 * 
 * ctypedef npy_ulong      uint_t
 * ctypedef npy_ulonglong  ulong_t             # <<<<<<<<<<<<<<
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 */
typedef npy_ulonglong __pyx_t_5numpy_ulong_t;

/* "../../anaconda3/lib/python3.7/site-packages/numpy/__init__.pxd":720
 * ctypedef npy_ulong      uint_t
 * ctypedef npy_ulonglong  ulong_t
 * ctypedef npy_ulonglong  ulonglong_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_intp       intp_t
 */
typedef npy_ulonglong __pyx_t_5numpy_ulonglong_t;

/* "../../anaconda3/lib/python3.7/site-packages/numpy/__init__.pxd":722
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 * ctypedef npy_intp       intp_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uintp      uintp_t
 * 
 */
typedef npy_intp __pyx_t_5numpy_intp_t;

/* "../../anaconda3/lib/python3.7/site-packages/numpy/__init__.pxd":723
 * 
 * ctypedef npy_intp       intp_t
 * ctypedef npy_uintp      uintp_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_double     float_t
 */
typedef npy_uintp __pyx_t_5numpy_uintp_t;

/* "../../anaconda3/lib/python3.7/site-packages/numpy/__init__.pxd":725
 * 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;

/* "../../anaconda3/lib/python3.7/site-packages/numpy/__init__.pxd":726
 * 
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longdouble longdouble_t
 * 
 */
typedef npy_double __pyx_t_5numpy_double_t;

/* "../../anaconda3/lib/python3.7/site-packages/numpy/__init__.pxd":727
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t
 * ctypedef npy_longdouble longdouble_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_cfloat      cfloat_t
 */
typedef npy_longdouble __pyx_t_5numpy_longdouble_t;

/* "distributions/distributions.pxd":8
 * from ..base cimport Model
 * 
 * ctypedef numpy.npy_float64 DOUBLE_t             # <<<<<<<<<<<<<<
 * ctypedef numpy.npy_intp SIZE_t
 * 
 */
typedef npy_float64 __pyx_t_11pomegranate_13distributions_13distributions_DOUBLE_t;

/* "distributions/distributions.pxd":9
 * 
 * ctypedef numpy.npy_float64 DOUBLE_t
 * ctypedef numpy.npy_intp SIZE_t             # <<<<<<<<<<<<<<
 * 
 * cdef class Distribution(Model):
 */
typedef npy_intp __pyx_t_11pomegranate_13distributions_13distributions_SIZE_t;
/* Declarations.proto */
#if CYTHON_CCOMPLEX
  #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
  #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);


/*--- Type declarations ---*/
struct __pyx_obj_11pomegranate_4base_Model;
struct __pyx_obj_11pomegranate_4base_GraphModel;
struct __pyx_obj_11pomegranate_4base_State;
struct __pyx_obj_11pomegranate_13distributions_13distributions_Distribution;
struct __pyx_obj_11pomegranate_13distributions_13distributions_MultivariateDistribution;
struct __pyx_obj_11pomegranate_13distributions_20DiscreteDistribution_DiscreteDistribution;
struct __pyx_obj_11pomegranate_13distributions_33IndependentComponentsDistribution_IndependentComponentsDistribution;
struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel;
struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct__bake;
struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_1_genexpr;
struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_2_fit;
struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_3_genexpr;
struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_4_genexpr;
struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_5_genexpr;
struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_6_genexpr;
struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_7_from_samples;
struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_8_genexpr;
struct __pyx_array_obj;
struct __pyx_MemviewEnum_obj;
struct __pyx_memoryview_obj;
struct __pyx_memoryviewslice_obj;

/* "../../anaconda3/lib/python3.7/site-packages/numpy/__init__.pxd":729
 * ctypedef npy_longdouble longdouble_t
 * 
 * ctypedef npy_cfloat      cfloat_t             # <<<<<<<<<<<<<<
 * ctypedef npy_cdouble     cdouble_t
 * ctypedef npy_clongdouble clongdouble_t
 */
typedef npy_cfloat __pyx_t_5numpy_cfloat_t;

/* "../../anaconda3/lib/python3.7/site-packages/numpy/__init__.pxd":730
 * 
 * ctypedef npy_cfloat      cfloat_t
 * ctypedef npy_cdouble     cdouble_t             # <<<<<<<<<<<<<<
 * ctypedef npy_clongdouble clongdouble_t
 * 
 */
typedef npy_cdouble __pyx_t_5numpy_cdouble_t;

/* "../../anaconda3/lib/python3.7/site-packages/numpy/__init__.pxd":731
 * ctypedef npy_cfloat      cfloat_t
 * ctypedef npy_cdouble     cdouble_t
 * ctypedef npy_clongdouble clongdouble_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_cdouble     complex_t
 */
typedef npy_clongdouble __pyx_t_5numpy_clongdouble_t;

/* "../../anaconda3/lib/python3.7/site-packages/numpy/__init__.pxd":733
 * ctypedef npy_clongdouble clongdouble_t
 * 
 * ctypedef npy_cdouble     complex_t             # <<<<<<<<<<<<<<
 * 
 * cdef inline object PyArray_MultiIterNew1(a):
 */
typedef npy_cdouble __pyx_t_5numpy_complex_t;
struct __pyx_opt_args_11pomegranate_3hmm_17HiddenMarkovModel_log_probability;

/* "pomegranate/hmm.pyx":1259
 *         return numpy.array(emissions)
 * 
 *     cpdef double log_probability(self, sequence, check_input=True):             # <<<<<<<<<<<<<<
 *         """Calculate the log probability of a single sequence.
 * 
 */
struct __pyx_opt_args_11pomegranate_3hmm_17HiddenMarkovModel_log_probability {
  int __pyx_n;
  PyObject *check_input;
};

/* "base.pxd":6
 * cimport numpy
 * 
 * cdef class Model(object):             # <<<<<<<<<<<<<<
 * 	cdef public str name
 * 	cdef public int d
 */
struct __pyx_obj_11pomegranate_4base_Model {
  PyObject_HEAD
  struct __pyx_vtabstruct_11pomegranate_4base_Model *__pyx_vtab;
  PyObject *name;
  int d;
  int frozen;
  PyObject *model;
};


/* "base.pxd":18
 * 
 * 
 * cdef class GraphModel(Model):             # <<<<<<<<<<<<<<
 * 	cdef public list states, edges
 * 	cdef public object graph
 */
struct __pyx_obj_11pomegranate_4base_GraphModel {
  struct __pyx_obj_11pomegranate_4base_Model __pyx_base;
  PyObject *states;
  PyObject *edges;
  PyObject *graph;
  int n_edges;
  int n_states;
};


/* "base.pxd":24
 * 
 * 
 * cdef class State(object):             # <<<<<<<<<<<<<<
 * 	cdef public object distribution
 * 	cdef public str name
 */
struct __pyx_obj_11pomegranate_4base_State {
  PyObject_HEAD
  PyObject *distribution;
  PyObject *name;
  double weight;
};


/* "distributions/distributions.pxd":11
 * ctypedef numpy.npy_intp SIZE_t
 * 
 * cdef class Distribution(Model):             # <<<<<<<<<<<<<<
 * 	cdef public list summaries
 * 
 */
struct __pyx_obj_11pomegranate_13distributions_13distributions_Distribution {
  struct __pyx_obj_11pomegranate_4base_Model __pyx_base;
  PyObject *summaries;
};


/* "distributions/distributions.pxd":14
 * 	cdef public list summaries
 * 
 * cdef class MultivariateDistribution(Distribution):             # <<<<<<<<<<<<<<
 * 	pass
 * 
 */
struct __pyx_obj_11pomegranate_13distributions_13distributions_MultivariateDistribution {
  struct __pyx_obj_11pomegranate_13distributions_13distributions_Distribution __pyx_base;
};


/* "distributions/DiscreteDistribution.pxd":9
 * from .distributions cimport Distribution
 * 
 * cdef class DiscreteDistribution(Distribution):             # <<<<<<<<<<<<<<
 * 	cdef bint encoded_summary
 * 	cdef int n
 */
struct __pyx_obj_11pomegranate_13distributions_20DiscreteDistribution_DiscreteDistribution {
  struct __pyx_obj_11pomegranate_13distributions_13distributions_Distribution __pyx_base;
  int encoded_summary;
  int n;
  PyObject *dtype;
  PyObject *dist;
  PyObject *log_dist;
  PyObject *encoded_keys;
  double *encoded_counts;
  double *encoded_log_probability;
  int is_blank_;
};


/* "distributions/IndependentComponentsDistribution.pxd":12
 * from .distributions cimport MultivariateDistribution
 * 
 * cdef class IndependentComponentsDistribution(MultivariateDistribution):             # <<<<<<<<<<<<<<
 * 	cdef public numpy.ndarray distributions, weights
 * 	cdef public int discrete
 */
struct __pyx_obj_11pomegranate_13distributions_33IndependentComponentsDistribution_IndependentComponentsDistribution {
  struct __pyx_obj_11pomegranate_13distributions_13distributions_MultivariateDistribution __pyx_base;
  PyArrayObject *distributions;
  PyArrayObject *weights;
  int discrete;
  int cython;
  double *weights_ptr;
  void **distributions_ptr;
};


/* "pomegranate/hmm.pyx":98
 *     return sequence_ndarray
 * 
 * cdef class HiddenMarkovModel(GraphModel):             # <<<<<<<<<<<<<<
 *     """A Hidden Markov Model
 * 
 */
struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel {
  struct __pyx_obj_11pomegranate_4base_GraphModel __pyx_base;
  PyObject *start;
  PyObject *end;
  int start_index;
  int end_index;
  int silent_start;
  double *in_transition_pseudocounts;
  double *out_transition_pseudocounts;
  __Pyx_memviewslice state_weights;
  int discrete;
  int multivariate;
  int summaries;
  int cython;
  int *tied_state_count;
  int *tied;
  int *tied_edge_group_size;
  int *tied_edges_starts;
  int *tied_edges_ends;
  double *in_transition_log_probabilities;
  double *out_transition_log_probabilities;
  double *expected_transitions;
  int *in_edge_count;
  int *in_transitions;
  int *out_edge_count;
  int *out_transitions;
  int finite;
  int n_tied_edge_groups;
  PyObject *keymap;
  PyObject *state_names;
  PyObject *state_name_mapping;
  PyArrayObject *distributions;
  void **distributions_ptr;
};


/* "pomegranate/hmm.pyx":659
 *             networkx.draw(self.graph, **kwargs)
 * 
 *     def bake(self, verbose=False, merge="all"):             # <<<<<<<<<<<<<<
 *         """Finalize the topology of the model.
 * 
 */
struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct__bake {
  PyObject_HEAD
  struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self;
  PyObject *__pyx_v_state;
};


/* "pomegranate/hmm.pyx":757
 * 
 *                 # Perform log sum exp on the edges to see if they properly sum to 1
 *                 out_edges = round(sum(numpy.e**x['probability']             # <<<<<<<<<<<<<<
 *                     for x in self.graph.adj[state].values()), 8)
 * 
 */
struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_1_genexpr {
  PyObject_HEAD
  struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct__bake *__pyx_outer_scope;
  PyObject *__pyx_v_x;
  PyObject *__pyx_t_0;
  Py_ssize_t __pyx_t_1;
  PyObject *(*__pyx_t_2)(PyObject *);
};


/* "pomegranate/hmm.pyx":2373
 *         return log_probability_sum, path
 * 
 *     def fit(self, sequences, weights=None, labels=None, stop_threshold=1E-9,             # <<<<<<<<<<<<<<
 *         min_iterations=0, max_iterations=1e8, algorithm='baum-welch',
 *         pseudocount=None, transition_pseudocount=0, emission_pseudocount=0.0,
 */
struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_2_fit {
  PyObject_HEAD
  PyObject *__pyx_v_algorithm;
  PyObject *__pyx_v_data_generator;
  PyObject *__pyx_v_f;
  PyObject *__pyx_v_multiple_check_input;
};


/* "pomegranate/hmm.pyx":2601
 * 
 *                 if semisupervised:
 *                     log_probability_sum = sum(parallel(f(*batch, algorithm='labeled',             # <<<<<<<<<<<<<<
 *                         check_input=multiple_check_input) for batch in data_generator.labeled_batches()))
 * 
 */
struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_3_genexpr {
  PyObject_HEAD
  struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_2_fit *__pyx_outer_scope;
  PyObject *__pyx_v_batch;
  PyObject *__pyx_t_0;
  Py_ssize_t __pyx_t_1;
  PyObject *(*__pyx_t_2)(PyObject *);
};


/* "pomegranate/hmm.pyx":2604
 *                         check_input=multiple_check_input) for batch in data_generator.labeled_batches()))
 * 
 *                     log_probability_sum += sum(parallel(f(*batch, algorithm=algorithm,             # <<<<<<<<<<<<<<
 *                         check_input=multiple_check_input) for batch in data_generator.unlabeled_batches()))
 * 
 */
struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_4_genexpr {
  PyObject_HEAD
  struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_2_fit *__pyx_outer_scope;
  PyObject *__pyx_v_batch;
  PyObject *__pyx_t_0;
  Py_ssize_t __pyx_t_1;
  PyObject *(*__pyx_t_2)(PyObject *);
};


/* "pomegranate/hmm.pyx":2608
 * 
 *                 elif labels is not None:
 *                     log_probability_sum = sum(parallel(f(*batch,             # <<<<<<<<<<<<<<
 *                         algorithm=algorithm, check_input=multiple_check_input) for batch in data_generator.batches()))
 * 
 */
struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_5_genexpr {
  PyObject_HEAD
  struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_2_fit *__pyx_outer_scope;
  PyObject *__pyx_v_batch;
  PyObject *__pyx_t_0;
  Py_ssize_t __pyx_t_1;
  PyObject *(*__pyx_t_2)(PyObject *);
};


/* "pomegranate/hmm.pyx":2612
 * 
 *                 else:
 *                     log_probability_sum = sum(parallel(f(*batch, algorithm=algorithm,             # <<<<<<<<<<<<<<
 *                         check_input=multiple_check_input) for batch in data_generator.batches()))
 * 
 */
struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_6_genexpr {
  PyObject_HEAD
  struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_2_fit *__pyx_outer_scope;
  PyObject *__pyx_v_batch;
  PyObject *__pyx_t_0;
  Py_ssize_t __pyx_t_1;
  PyObject *(*__pyx_t_2)(PyObject *);
};


/* "pomegranate/hmm.pyx":3381
 * 
 *     @classmethod
 *     def from_samples(cls, distribution, n_components, X, weights=None,             # <<<<<<<<<<<<<<
 *         labels=None, algorithm='baum-welch', inertia=None, edge_inertia=0.0,
 *         distribution_inertia=0.0, pseudocount=None,
 */
struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_7_from_samples {
  PyObject_HEAD
  PyObject *__pyx_v_X_concat;
};


/* "pomegranate/hmm.pyx":3630
 *                     keys = numpy.unique(X_concat)
 *                 else:
 *                     keys = [numpy.unique(X_concat[:,i] for i in range(X_concat.shape[1]))]             # <<<<<<<<<<<<<<
 * 
 *             distributions = []
 */
struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_8_genexpr {
  PyObject_HEAD
  struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_7_from_samples *__pyx_outer_scope;
  PyObject *__pyx_v_i;
  PyObject *__pyx_t_0;
  Py_ssize_t __pyx_t_1;
  PyObject *(*__pyx_t_2)(PyObject *);
};


/* "View.MemoryView":105
 * 
 * @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":279
 * 
 * @cname('__pyx_MemviewEnum')
 * cdef class Enum(object):             # <<<<<<<<<<<<<<
 *     cdef object name
 *     def __init__(self, name):
 */
struct __pyx_MemviewEnum_obj {
  PyObject_HEAD
  PyObject *name;
};


/* "View.MemoryView":330
 * 
 * @cname('__pyx_memoryview')
 * cdef class memoryview(object):             # <<<<<<<<<<<<<<
 * 
 *     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 acquisition_count[2];
  __pyx_atomic_int *acquisition_count_aligned_p;
  Py_buffer view;
  int flags;
  int dtype_is_object;
  __Pyx_TypeInfo *typeinfo;
};


/* "View.MemoryView":965
 * 
 * @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 *);
};



/* "base.pxd":6
 * cimport numpy
 * 
 * cdef class Model(object):             # <<<<<<<<<<<<<<
 * 	cdef public str name
 * 	cdef public int d
 */

struct __pyx_vtabstruct_11pomegranate_4base_Model {
  void (*_log_probability)(struct __pyx_obj_11pomegranate_4base_Model *, double *, double *, int);
  double (*_vl_log_probability)(struct __pyx_obj_11pomegranate_4base_Model *, double *, int);
  double (*_summarize)(struct __pyx_obj_11pomegranate_4base_Model *, double *, double *, int, int, int);
};
static struct __pyx_vtabstruct_11pomegranate_4base_Model *__pyx_vtabptr_11pomegranate_4base_Model;


/* "base.pxd":18
 * 
 * 
 * cdef class GraphModel(Model):             # <<<<<<<<<<<<<<
 * 	cdef public list states, edges
 * 	cdef public object graph
 */

struct __pyx_vtabstruct_11pomegranate_4base_GraphModel {
  struct __pyx_vtabstruct_11pomegranate_4base_Model __pyx_base;
};
static struct __pyx_vtabstruct_11pomegranate_4base_GraphModel *__pyx_vtabptr_11pomegranate_4base_GraphModel;


/* "distributions/distributions.pxd":11
 * ctypedef numpy.npy_intp SIZE_t
 * 
 * cdef class Distribution(Model):             # <<<<<<<<<<<<<<
 * 	cdef public list summaries
 * 
 */

struct __pyx_vtabstruct_11pomegranate_13distributions_13distributions_Distribution {
  struct __pyx_vtabstruct_11pomegranate_4base_Model __pyx_base;
};
static struct __pyx_vtabstruct_11pomegranate_13distributions_13distributions_Distribution *__pyx_vtabptr_11pomegranate_13distributions_13distributions_Distribution;


/* "distributions/distributions.pxd":14
 * 	cdef public list summaries
 * 
 * cdef class MultivariateDistribution(Distribution):             # <<<<<<<<<<<<<<
 * 	pass
 * 
 */

struct __pyx_vtabstruct_11pomegranate_13distributions_13distributions_MultivariateDistribution {
  struct __pyx_vtabstruct_11pomegranate_13distributions_13distributions_Distribution __pyx_base;
};
static struct __pyx_vtabstruct_11pomegranate_13distributions_13distributions_MultivariateDistribution *__pyx_vtabptr_11pomegranate_13distributions_13distributions_MultivariateDistribution;


/* "distributions/DiscreteDistribution.pxd":9
 * from .distributions cimport Distribution
 * 
 * cdef class DiscreteDistribution(Distribution):             # <<<<<<<<<<<<<<
 * 	cdef bint encoded_summary
 * 	cdef int n
 */

struct __pyx_vtabstruct_11pomegranate_13distributions_20DiscreteDistribution_DiscreteDistribution {
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  double (*__pyx___log_probability)(struct __pyx_obj_11pomegranate_13distributions_20DiscreteDistribution_DiscreteDistribution *, PyObject *);
};
static struct __pyx_vtabstruct_11pomegranate_13distributions_20DiscreteDistribution_DiscreteDistribution *__pyx_vtabptr_11pomegranate_13distributions_20DiscreteDistribution_DiscreteDistribution;


/* "distributions/IndependentComponentsDistribution.pxd":12
 * from .distributions cimport MultivariateDistribution
 * 
 * cdef class IndependentComponentsDistribution(MultivariateDistribution):             # <<<<<<<<<<<<<<
 * 	cdef public numpy.ndarray distributions, weights
 * 	cdef public int discrete
 */

struct __pyx_vtabstruct_11pomegranate_13distributions_33IndependentComponentsDistribution_IndependentComponentsDistribution {
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};
static struct __pyx_vtabstruct_11pomegranate_13distributions_33IndependentComponentsDistribution_IndependentComponentsDistribution *__pyx_vtabptr_11pomegranate_13distributions_33IndependentComponentsDistribution_IndependentComponentsDistribution;


/* "pomegranate/hmm.pyx":98
 *     return sequence_ndarray
 * 
 * cdef class HiddenMarkovModel(GraphModel):             # <<<<<<<<<<<<<<
 *     """A Hidden Markov Model
 * 
 */

struct __pyx_vtabstruct_11pomegranate_3hmm_HiddenMarkovModel {
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  double (*_viterbi)(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *, double *, int *, int, int);
  void (*_predict_log_proba)(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *, double *, double *, int, double *);
  PyObject *(*_maximum_a_posteriori)(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *, PyArrayObject *);
  double (*_baum_welch_summarize)(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *, PyArrayObject *, double, int __pyx_skip_dispatch);
  double (*_viterbi_summarize)(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *, PyArrayObject *, double, int __pyx_skip_dispatch);
  double (*__pyx___viterbi_summarize)(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *, double *, double, int, int);
  double (*_labeled_summarize)(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *, PyArrayObject *, PyArrayObject *, double, int __pyx_skip_dispatch);
  double (*__pyx___labeled_summarize)(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *, double *, int *, double, int, int);
  void (*_from_summaries)(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *, double, double, int, double, double);
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static struct __pyx_vtabstruct_11pomegranate_3hmm_HiddenMarkovModel *__pyx_vtabptr_11pomegranate_3hmm_HiddenMarkovModel;


/* "View.MemoryView":105
 * 
 * @cname("__pyx_array")
 * cdef class array:             # <<<<<<<<<<<<<<
 * 
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struct __pyx_vtabstruct_array {
  PyObject *(*get_memview)(struct __pyx_array_obj *);
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static struct __pyx_vtabstruct_array *__pyx_vtabptr_array;


/* "View.MemoryView":330
 * 
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 * 
 *     cdef object obj
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struct __pyx_vtabstruct_memoryview {
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  PyObject *(*setitem_slice_assignment)(struct __pyx_memoryview_obj *, PyObject *, PyObject *);
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static struct __pyx_vtabstruct_memoryview *__pyx_vtabptr_memoryview;


/* "View.MemoryView":965
 * 
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 *     "Internal class for passing memoryview slices to Python"
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 */

struct __pyx_vtabstruct__memoryviewslice {
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static int __Pyx_PyObject_GetMethod(PyObject *obj, PyObject *name, PyObject **method);

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

/* append.proto */
static CYTHON_INLINE int __Pyx_PyObject_Append(PyObject* L, PyObject* x);

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

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

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

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

/* DictGetItem.proto */
#if PY_MAJOR_VERSION >= 3 && !CYTHON_COMPILING_IN_PYPY
static PyObject *__Pyx_PyDict_GetItem(PyObject *d, PyObject* key);
#define __Pyx_PyObject_Dict_GetItem(obj, name)\
    (likely(PyDict_CheckExact(obj)) ?\
     __Pyx_PyDict_GetItem(obj, name) : PyObject_GetItem(obj, name))
#else
#define __Pyx_PyDict_GetItem(d, key) PyObject_GetItem(d, key)
#define __Pyx_PyObject_Dict_GetItem(obj, name)  PyObject_GetItem(obj, name)
#endif

/* dict_getitem_default.proto */
static PyObject* __Pyx_PyDict_GetItemDefault(PyObject* d, PyObject* key, PyObject* default_value);

/* UnpackUnboundCMethod.proto */
typedef struct {
    PyObject *type;
    PyObject **method_name;
    PyCFunction func;
    PyObject *method;
    int flag;
} __Pyx_CachedCFunction;

/* CallUnboundCMethod1.proto */
static PyObject* __Pyx__CallUnboundCMethod1(__Pyx_CachedCFunction* cfunc, PyObject* self, PyObject* arg);
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_CallUnboundCMethod1(__Pyx_CachedCFunction* cfunc, PyObject* self, PyObject* arg);
#else
#define __Pyx_CallUnboundCMethod1(cfunc, self, arg)  __Pyx__CallUnboundCMethod1(cfunc, self, arg)
#endif

/* CallUnboundCMethod2.proto */
static PyObject* __Pyx__CallUnboundCMethod2(__Pyx_CachedCFunction* cfunc, PyObject* self, PyObject* arg1, PyObject* arg2);
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030600B1
static CYTHON_INLINE PyObject *__Pyx_CallUnboundCMethod2(__Pyx_CachedCFunction *cfunc, PyObject *self, PyObject *arg1, PyObject *arg2);
#else
#define __Pyx_CallUnboundCMethod2(cfunc, self, arg1, arg2)  __Pyx__CallUnboundCMethod2(cfunc, self, arg1, arg2)
#endif

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

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

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

/* GetTopmostException.proto */
#if CYTHON_USE_EXC_INFO_STACK
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

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

/* 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

/* PyObjectLookupSpecial.proto */
#if CYTHON_USE_PYTYPE_LOOKUP && CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE PyObject* __Pyx_PyObject_LookupSpecial(PyObject* obj, PyObject* attr_name) {
    PyObject *res;
    PyTypeObject *tp = Py_TYPE(obj);
#if PY_MAJOR_VERSION < 3
    if (unlikely(PyInstance_Check(obj)))
        return __Pyx_PyObject_GetAttrStr(obj, attr_name);
#endif
    res = _PyType_Lookup(tp, attr_name);
    if (likely(res)) {
        descrgetfunc f = Py_TYPE(res)->tp_descr_get;
        if (!f) {
            Py_INCREF(res);
        } else {
            res = f(res, obj, (PyObject *)tp);
        }
    } else {
        PyErr_SetObject(PyExc_AttributeError, attr_name);
    }
    return res;
}
#else
#define __Pyx_PyObject_LookupSpecial(o,n) __Pyx_PyObject_GetAttrStr(o,n)
#endif

/* None.proto */
static CYTHON_INLINE void __Pyx_RaiseUnboundLocalError(const char *varname);

/* None.proto */
static CYTHON_INLINE void __Pyx_RaiseClosureNameError(const char *varname);

/* IncludeStringH.proto */
#include <string.h>

/* BytesEquals.proto */
static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals);

/* UnicodeEquals.proto */
static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals);

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

/* PyIntCompare.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_EqObjC(PyObject *op1, PyObject *op2, long intval, long inplace);

/* PyFloatBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyFloat_NeObjC(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyFloat_NeObjC(op1, op2, floatval, inplace, zerodivision_check)\
    (PyObject_RichCompare(op1, op2, Py_NE))
    #endif

/* PyFloatBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyFloat_EqObjC(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyFloat_EqObjC(op1, op2, floatval, inplace, zerodivision_check)\
    (PyObject_RichCompare(op1, op2, Py_EQ))
    #endif

/* 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 *acquisition_count, PyThread_type_lock lock);
static CYTHON_INLINE int __pyx_sub_acquisition_count_locked(
    __pyx_atomic_int *acquisition_count, PyThread_type_lock lock);
#define __pyx_get_slice_count_pointer(memview) (memview->acquisition_count_aligned_p)
#define __pyx_get_slice_count(memview) (*__pyx_get_slice_count_pointer(memview))
#define __PYX_INC_MEMVIEW(slice, have_gil) __Pyx_INC_MEMVIEW(slice, have_gil, __LINE__)
#define __PYX_XDEC_MEMVIEW(slice, have_gil) __Pyx_XDEC_MEMVIEW(slice, have_gil, __LINE__)
static CYTHON_INLINE void __Pyx_INC_MEMVIEW(__Pyx_memviewslice *, int, int);
static CYTHON_INLINE void __Pyx_XDEC_MEMVIEW(__Pyx_memviewslice *, int, int);

/* PyDictContains.proto */
static CYTHON_INLINE int __Pyx_PyDict_ContainsTF(PyObject* item, PyObject* dict, int eq) {
    int result = PyDict_Contains(dict, item);
    return unlikely(result < 0) ? result : (result == (eq == Py_EQ));
}

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

/* CallUnboundCMethod0.proto */
static PyObject* __Pyx__CallUnboundCMethod0(__Pyx_CachedCFunction* cfunc, PyObject* self);
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_CallUnboundCMethod0(cfunc, self)\
    (likely((cfunc)->func) ?\
        (likely((cfunc)->flag == METH_NOARGS) ?  (*((cfunc)->func))(self, NULL) :\
         (PY_VERSION_HEX >= 0x030600B1 && likely((cfunc)->flag == METH_FASTCALL) ?\
            (PY_VERSION_HEX >= 0x030700A0 ?\
                (*(__Pyx_PyCFunctionFast)(void*)(PyCFunction)(cfunc)->func)(self, &__pyx_empty_tuple, 0) :\
                (*(__Pyx_PyCFunctionFastWithKeywords)(void*)(PyCFunction)(cfunc)->func)(self, &__pyx_empty_tuple, 0, NULL)) :\
          (PY_VERSION_HEX >= 0x030700A0 && (cfunc)->flag == (METH_FASTCALL | METH_KEYWORDS) ?\
            (*(__Pyx_PyCFunctionFastWithKeywords)(void*)(PyCFunction)(cfunc)->func)(self, &__pyx_empty_tuple, 0, NULL) :\
            (likely((cfunc)->flag == (METH_VARARGS | METH_KEYWORDS)) ?  ((*(PyCFunctionWithKeywords)(void*)(PyCFunction)(cfunc)->func)(self, __pyx_empty_tuple, NULL)) :\
               ((cfunc)->flag == METH_VARARGS ?  (*((cfunc)->func))(self, __pyx_empty_tuple) :\
               __Pyx__CallUnboundCMethod0(cfunc, self)))))) :\
        __Pyx__CallUnboundCMethod0(cfunc, self))
#else
#define __Pyx_CallUnboundCMethod0(cfunc, self)  __Pyx__CallUnboundCMethod0(cfunc, self)
#endif

/* py_dict_keys.proto */
static CYTHON_INLINE PyObject* __Pyx_PyDict_Keys(PyObject* d);

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

/* SliceTupleAndList.proto */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyList_GetSlice(PyObject* src, Py_ssize_t start, Py_ssize_t stop);
static CYTHON_INLINE PyObject* __Pyx_PyTuple_GetSlice(PyObject* src, Py_ssize_t start, Py_ssize_t stop);
#else
#define __Pyx_PyList_GetSlice(seq, start, stop)   PySequence_GetSlice(seq, start, stop)
#define __Pyx_PyTuple_GetSlice(seq, start, stop)  PySequence_GetSlice(seq, start, stop)
#endif

/* ListExtend.proto */
static CYTHON_INLINE int __Pyx_PyList_Extend(PyObject* L, PyObject* v) {
#if CYTHON_COMPILING_IN_CPYTHON
    PyObject* none = _PyList_Extend((PyListObject*)L, v);
    if (unlikely(!none))
        return -1;
    Py_DECREF(none);
    return 0;
#else
    return PyList_SetSlice(L, PY_SSIZE_T_MAX, PY_SSIZE_T_MAX, v);
#endif
}

/* set_iter.proto */
static CYTHON_INLINE PyObject* __Pyx_set_iterator(PyObject* iterable, int is_set,
                                                  Py_ssize_t* p_orig_length, int* p_source_is_set);
static CYTHON_INLINE int __Pyx_set_iter_next(
        PyObject* iter_obj, Py_ssize_t orig_length,
        Py_ssize_t* ppos, PyObject **value,
        int source_is_set);

/* 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);
        PyList_SET_ITEM(list, len, x);
        Py_SIZE(list) = len+1;
        return 0;
    }
    return PyList_Append(list, x);
}
#else
#define __Pyx_ListComp_Append(L,x) PyList_Append(L,x)
#endif

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

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

/* ArgTypeTest.proto */
#define __Pyx_ArgTypeTest(obj, type, none_allowed, name, exact)\
    ((likely((Py_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);

/* PyIntCompare.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_NeObjC(PyObject *op1, PyObject *op2, long intval, long inplace);

/* IterNext.proto */
#define __Pyx_PyIter_Next(obj) __Pyx_PyIter_Next2(obj, NULL)
static CYTHON_INLINE PyObject *__Pyx_PyIter_Next2(PyObject *, PyObject *);

/* CallableCheck.proto */
#if CYTHON_USE_TYPE_SLOTS && PY_MAJOR_VERSION >= 3
#define __Pyx_PyCallable_Check(obj)   ((obj)->ob_type->tp_call != NULL)
#else
#define __Pyx_PyCallable_Check(obj)   PyCallable_Check(obj)
#endif

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

static CYTHON_UNUSED 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 *);

/* decode_c_string_utf16.proto */
static CYTHON_INLINE PyObject *__Pyx_PyUnicode_DecodeUTF16(const char *s, Py_ssize_t size, const char *errors) {
    int byteorder = 0;
    return PyUnicode_DecodeUTF16(s, size, errors, &byteorder);
}
static CYTHON_INLINE PyObject *__Pyx_PyUnicode_DecodeUTF16LE(const char *s, Py_ssize_t size, const char *errors) {
    int byteorder = -1;
    return PyUnicode_DecodeUTF16(s, size, errors, &byteorder);
}
static CYTHON_INLINE PyObject *__Pyx_PyUnicode_DecodeUTF16BE(const char *s, Py_ssize_t size, const char *errors) {
    int byteorder = 1;
    return PyUnicode_DecodeUTF16(s, size, errors, &byteorder);
}

/* decode_c_string.proto */
static CYTHON_INLINE PyObject* __Pyx_decode_c_string(
         const char* cstring, Py_ssize_t start, Py_ssize_t stop,
         const char* encoding, const char* errors,
         PyObject* (*decode_func)(const char *s, Py_ssize_t size, const char *errors));

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

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

/* 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

/* FastTypeChecks.proto */
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_TypeCheck(obj, type) __Pyx_IsSubtype(Py_TYPE(obj), (PyTypeObject *)type)
static CYTHON_INLINE int __Pyx_IsSubtype(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_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_PyException_Check(obj) __Pyx_TypeCheck(obj, PyExc_Exception)

static CYTHON_UNUSED int __pyx_memoryview_getbuffer(PyObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /*proto*/
/* ImportFrom.proto */
static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name);

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

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

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

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

/* 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

/* TypeImport.proto */
#ifndef __PYX_HAVE_RT_ImportType_proto
#define __PYX_HAVE_RT_ImportType_proto
enum __Pyx_ImportType_CheckSize {
   __Pyx_ImportType_CheckSize_Error = 0,
   __Pyx_ImportType_CheckSize_Warn = 1,
   __Pyx_ImportType_CheckSize_Ignore = 2
};
static PyTypeObject *__Pyx_ImportType(PyObject* module, const char *module_name, const char *class_name, size_t size, enum __Pyx_ImportType_CheckSize check_size);
#endif

/* GetVTable.proto */
static void* __Pyx_GetVtable(PyObject *dict);

/* SetVTable.proto */
static int __Pyx_SetVtable(PyObject *dict, void *vtable);

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

/* ClassMethod.proto */
#include "descrobject.h"
static CYTHON_UNUSED PyObject* __Pyx_Method_ClassMethod(PyObject *method);

/* GetNameInClass.proto */
#define __Pyx_GetNameInClass(var, nmspace, name)  (var) = __Pyx__GetNameInClass(nmspace, name)
static PyObject *__Pyx__GetNameInClass(PyObject *nmspace, PyObject *name);

/* 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 */
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);

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

#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);

/* Capsule.proto */
static CYTHON_INLINE PyObject *__pyx_capsule_create(void *p, const char *sig);

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

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

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_Py_intptr_t(Py_intptr_t value);

/* 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 */
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    #define __Pyx_c_prod_float(a, b) ((a)*(b))
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    #define __Pyx_c_is_zero_float(z) ((z)==0)
    #define __Pyx_c_conj_float(z)    (conjf(z))
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/* Arithmetic.proto */
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    #define __Pyx_c_eq_double(a, b)   ((a)==(b))
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    #define __Pyx_c_is_zero_double(z) ((z)==(double)0)
    #define __Pyx_c_conj_double(z)    (::std::conj(z))
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    static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex, __pyx_t_double_complex);
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    static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex);
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static __Pyx_memviewslice
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/* CIntFromPy.proto */
static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *);

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

/* CIntFromPy.proto */
static CYTHON_INLINE size_t __Pyx_PyInt_As_size_t(PyObject *);

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

/* FetchCommonType.proto */
static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type);

/* CoroutineBase.proto */
typedef PyObject *(*__pyx_coroutine_body_t)(PyObject *, PyThreadState *, PyObject *);
#if CYTHON_USE_EXC_INFO_STACK
#define __Pyx_ExcInfoStruct  _PyErr_StackItem
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static __pyx_CoroutineObject *__Pyx__Coroutine_New(
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static __pyx_CoroutineObject *__Pyx__Coroutine_NewInit(
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static CYTHON_INLINE void __Pyx_Coroutine_ExceptionClear(__Pyx_ExcInfoStruct *self);
static int __Pyx_Coroutine_clear(PyObject *self);
static PyObject *__Pyx_Coroutine_Send(PyObject *self, PyObject *value);
static PyObject *__Pyx_Coroutine_Close(PyObject *self);
static PyObject *__Pyx_Coroutine_Throw(PyObject *gen, PyObject *args);
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#define __Pyx_Coroutine_SwapException(self)
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#define __Pyx_Coroutine_SwapException(self) {\
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static int __Pyx_PyGen__FetchStopIterationValue(PyThreadState *tstate, PyObject **pvalue);
static CYTHON_INLINE void __Pyx_Coroutine_ResetFrameBackpointer(__Pyx_ExcInfoStruct *exc_state);

/* PatchModuleWithCoroutine.proto */
static PyObject* __Pyx_Coroutine_patch_module(PyObject* module, const char* py_code);

/* PatchGeneratorABC.proto */
static int __Pyx_patch_abc(void);

/* Generator.proto */
#define __Pyx_Generator_USED
static PyTypeObject *__pyx_GeneratorType = 0;
#define __Pyx_Generator_CheckExact(obj) (Py_TYPE(obj) == __pyx_GeneratorType)
#define __Pyx_Generator_New(body, code, closure, name, qualname, module_name)\
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static PyObject *__Pyx_Generator_Next(PyObject *self);
static int __pyx_Generator_init(void);

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static const char* __Pyx_BufFmt_CheckString(__Pyx_BufFmt_Context* ctx, const char* ts);
static void __Pyx_BufFmt_Init(__Pyx_BufFmt_Context* ctx,
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/* TypeInfoCompare.proto */
static int __pyx_typeinfo_cmp(__Pyx_TypeInfo *a, __Pyx_TypeInfo *b);

/* MemviewSliceValidateAndInit.proto */
static int __Pyx_ValidateAndInit_memviewslice(
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                __Pyx_memviewslice *memviewslice,
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/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_ds_double(PyObject *, int writable_flag);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsds_double(PyObject *, int writable_flag);

/* CheckBinaryVersion.proto */
static int __Pyx_check_binary_version(void);

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

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

static PyArrayObject *__pyx_f_11pomegranate_3hmm_17HiddenMarkovModel__sample(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, int __pyx_v_length, int __pyx_v_path, PyObject *__pyx_v_random_state); /* proto*/
static double __pyx_f_11pomegranate_3hmm_17HiddenMarkovModel_log_probability(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyObject *__pyx_v_sequence, int __pyx_skip_dispatch, struct __pyx_opt_args_11pomegranate_3hmm_17HiddenMarkovModel_log_probability *__pyx_optional_args); /* proto*/
static double __pyx_f_11pomegranate_3hmm_17HiddenMarkovModel__vl_log_probability(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, double *__pyx_v_sequence, int __pyx_v_n); /* proto*/
static PyArrayObject *__pyx_f_11pomegranate_3hmm_17HiddenMarkovModel_forward(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyObject *__pyx_v_sequence, int __pyx_skip_dispatch); /* proto*/
static double *__pyx_f_11pomegranate_3hmm_17HiddenMarkovModel__forward(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, double *__pyx_v_sequence, int __pyx_v_n, double *__pyx_v_emissions); /* proto*/
static PyArrayObject *__pyx_f_11pomegranate_3hmm_17HiddenMarkovModel_backward(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyObject *__pyx_v_sequence, int __pyx_skip_dispatch); /* proto*/
static double *__pyx_f_11pomegranate_3hmm_17HiddenMarkovModel__backward(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, double *__pyx_v_sequence, int __pyx_v_n, double *__pyx_v_emissions); /* proto*/
static PyObject *__pyx_f_11pomegranate_3hmm_17HiddenMarkovModel__forward_backward(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, double *__pyx_v_sequence, int __pyx_v_n); /* proto*/
static PyObject *__pyx_f_11pomegranate_3hmm_17HiddenMarkovModel_viterbi(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyObject *__pyx_v_sequence, int __pyx_skip_dispatch); /* proto*/
static double __pyx_f_11pomegranate_3hmm_17HiddenMarkovModel__viterbi(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, double *__pyx_v_sequence, int *__pyx_v_path, int __pyx_v_n, int __pyx_v_m); /* proto*/
static void __pyx_f_11pomegranate_3hmm_17HiddenMarkovModel__predict_log_proba(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, double *__pyx_v_sequence, double *__pyx_v_r, int __pyx_v_n, double *__pyx_v_emissions); /* proto*/
static PyObject *__pyx_f_11pomegranate_3hmm_17HiddenMarkovModel__maximum_a_posteriori(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyArrayObject *__pyx_v_sequence); /* proto*/
static double __pyx_f_11pomegranate_3hmm_17HiddenMarkovModel__baum_welch_summarize(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyArrayObject *__pyx_v_sequence_ndarray, double __pyx_v_weight, int __pyx_skip_dispatch); /* proto*/
static double __pyx_f_11pomegranate_3hmm_17HiddenMarkovModel__summarize(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, double *__pyx_v_sequence, double *__pyx_v_weight, int __pyx_v_n, CYTHON_UNUSED int __pyx_v_column_idx, int __pyx_v_d); /* proto*/
static double __pyx_f_11pomegranate_3hmm_17HiddenMarkovModel__viterbi_summarize(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyArrayObject *__pyx_v_sequence_ndarray, double __pyx_v_weight, int __pyx_skip_dispatch); /* proto*/
static double __pyx_f_11pomegranate_3hmm_17HiddenMarkovModel___viterbi_summarize(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, double *__pyx_v_sequence, double __pyx_v_weight, int __pyx_v_n, int __pyx_v_m); /* proto*/
static double __pyx_f_11pomegranate_3hmm_17HiddenMarkovModel__labeled_summarize(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyArrayObject *__pyx_v_sequence_ndarray, PyArrayObject *__pyx_v_label_ndarray, double __pyx_v_weight, int __pyx_skip_dispatch); /* proto*/
static double __pyx_f_11pomegranate_3hmm_17HiddenMarkovModel___labeled_summarize(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, double *__pyx_v_sequence, int *__pyx_v_states, double __pyx_v_weight, int __pyx_v_n, int __pyx_v_m); /* proto*/
static void __pyx_f_11pomegranate_3hmm_17HiddenMarkovModel__from_summaries(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, double __pyx_v_transition_pseudocount, double __pyx_v_emission_pseudocount, int __pyx_v_use_pseudocount, double __pyx_v_edge_inertia, double __pyx_v_distribution_inertia); /* proto*/
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_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*/

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

/* Module declarations from 'cpython.buffer' */

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

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

/* Module declarations from '__builtin__' */

/* Module declarations from 'cpython.type' */
static PyTypeObject *__pyx_ptype_7cpython_4type_type = 0;

/* Module declarations from 'cpython' */

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

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

/* Module declarations from 'cpython.mem' */

/* Module declarations from 'numpy' */

/* Module declarations from 'numpy' */
static PyTypeObject *__pyx_ptype_5numpy_dtype = 0;
static PyTypeObject *__pyx_ptype_5numpy_flatiter = 0;
static PyTypeObject *__pyx_ptype_5numpy_broadcast = 0;
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static PyTypeObject *__pyx_ptype_5numpy_generic = 0;
static PyTypeObject *__pyx_ptype_5numpy_number = 0;
static PyTypeObject *__pyx_ptype_5numpy_integer = 0;
static PyTypeObject *__pyx_ptype_5numpy_signedinteger = 0;
static PyTypeObject *__pyx_ptype_5numpy_unsignedinteger = 0;
static PyTypeObject *__pyx_ptype_5numpy_inexact = 0;
static PyTypeObject *__pyx_ptype_5numpy_floating = 0;
static PyTypeObject *__pyx_ptype_5numpy_complexfloating = 0;
static PyTypeObject *__pyx_ptype_5numpy_flexible = 0;
static PyTypeObject *__pyx_ptype_5numpy_character = 0;
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/* Module declarations from 'pomegranate.base' */
static PyTypeObject *__pyx_ptype_11pomegranate_4base_Model = 0;
static PyTypeObject *__pyx_ptype_11pomegranate_4base_GraphModel = 0;
static PyTypeObject *__pyx_ptype_11pomegranate_4base_State = 0;

/* Module declarations from 'pomegranate.distributions.distributions' */
static PyTypeObject *__pyx_ptype_11pomegranate_13distributions_13distributions_Distribution = 0;
static PyTypeObject *__pyx_ptype_11pomegranate_13distributions_13distributions_MultivariateDistribution = 0;

/* Module declarations from 'pomegranate.distributions.DiscreteDistribution' */
static PyTypeObject *__pyx_ptype_11pomegranate_13distributions_20DiscreteDistribution_DiscreteDistribution = 0;

/* Module declarations from 'pomegranate.distributions.IndependentComponentsDistribution' */
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/* Module declarations from 'pomegranate.utils' */
static PyObject *(*__pyx_f_11pomegranate_5utils_python_log_probability)(PyObject *, double *, double *, int); /*proto*/
static PyObject *(*__pyx_f_11pomegranate_5utils_python_summarize)(PyObject *, double *, double *, int); /*proto*/
static double (*__pyx_f_11pomegranate_5utils__log)(double); /*proto*/
static double (*__pyx_f_11pomegranate_5utils_pair_lse)(double, double); /*proto*/

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

/* Module declarations from 'pomegranate.hmm' */
static PyTypeObject *__pyx_ptype_11pomegranate_3hmm_HiddenMarkovModel = 0;
static PyTypeObject *__pyx_ptype_11pomegranate_3hmm___pyx_scope_struct__bake = 0;
static PyTypeObject *__pyx_ptype_11pomegranate_3hmm___pyx_scope_struct_1_genexpr = 0;
static PyTypeObject *__pyx_ptype_11pomegranate_3hmm___pyx_scope_struct_2_fit = 0;
static PyTypeObject *__pyx_ptype_11pomegranate_3hmm___pyx_scope_struct_3_genexpr = 0;
static PyTypeObject *__pyx_ptype_11pomegranate_3hmm___pyx_scope_struct_4_genexpr = 0;
static PyTypeObject *__pyx_ptype_11pomegranate_3hmm___pyx_scope_struct_5_genexpr = 0;
static PyTypeObject *__pyx_ptype_11pomegranate_3hmm___pyx_scope_struct_6_genexpr = 0;
static PyTypeObject *__pyx_ptype_11pomegranate_3hmm___pyx_scope_struct_7_from_samples = 0;
static PyTypeObject *__pyx_ptype_11pomegranate_3hmm___pyx_scope_struct_8_genexpr = 0;
static PyTypeObject *__pyx_array_type = 0;
static PyTypeObject *__pyx_MemviewEnum_type = 0;
static PyTypeObject *__pyx_memoryview_type = 0;
static PyTypeObject *__pyx_memoryviewslice_type = 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 struct __pyx_array_obj *__pyx_array_new(PyObject *, Py_ssize_t, char *, char *, char *); /*proto*/
static void *__pyx_align_pointer(void *, size_t); /*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 PyObject *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 *, char *, int); /*proto*/
static int __pyx_memoryview_err(PyObject *, char *); /*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*/
static __Pyx_TypeInfo __Pyx_TypeInfo_double = { "double", NULL, sizeof(double), { 0 }, 0, 'R', 0, 0 };
#define __Pyx_MODULE_NAME "pomegranate.hmm"
extern int __pyx_module_is_main_pomegranate__hmm;
int __pyx_module_is_main_pomegranate__hmm = 0;

/* Implementation of 'pomegranate.hmm' */
static PyObject *__pyx_builtin_range;
static PyObject *__pyx_builtin_ValueError;
static PyObject *__pyx_builtin_id;
static PyObject *__pyx_builtin_enumerate;
static PyObject *__pyx_builtin_zip;
static PyObject *__pyx_builtin_ImportError;
static PyObject *__pyx_builtin_round;
static PyObject *__pyx_builtin_print;
static PyObject *__pyx_builtin_sum;
static PyObject *__pyx_builtin_sorted;
static PyObject *__pyx_builtin_map;
static PyObject *__pyx_builtin_KeyError;
static PyObject *__pyx_builtin_SyntaxError;
static PyObject *__pyx_builtin_reversed;
static PyObject *__pyx_builtin_MemoryError;
static PyObject *__pyx_builtin_TypeError;
static PyObject *__pyx_builtin_Ellipsis;
static PyObject *__pyx_builtin_IndexError;
static const char __pyx_k_O[] = "O";
static const char __pyx_k_X[] = "X";
static const char __pyx_k_a[] = "a";
static const char __pyx_k_b[] = "b";
static const char __pyx_k_c[] = "c";
static const char __pyx_k_d[] = "d";
static const char __pyx_k_e[] = "e";
static const char __pyx_k_i[] = "i";
static const char __pyx_k_j[] = "j";
static const char __pyx_k_n[] = "n";
static const char __pyx_k_s[] = "s{}";
static const char __pyx_k__2[] = "";
static const char __pyx_k__3[] = "{}{}{}";
static const char __pyx_k__4[] = "*";
static const char __pyx_k_id[] = "id";
static const char __pyx_k_io[] = "io";
static const char __pyx_k_All[] = "All";
static const char __pyx_k_add[] = "add";
static const char __pyx_k_adj[] = "adj";
static const char __pyx_k_all[] = "all";
static const char __pyx_k_dot[] = "dot";
static const char __pyx_k_end[] = "end";
static const char __pyx_k_exp[] = "exp";
static const char __pyx_k_fit[] = "fit";
static const char __pyx_k_get[] = "get";
static const char __pyx_k_key[] = "key";
static const char __pyx_k_len[] = "len";
static const char __pyx_k_map[] = "map";
static const char __pyx_k_nan[] = "nan";
static const char __pyx_k_new[] = "__new__";
static const char __pyx_k_obj[] = "obj";
static const char __pyx_k_off[] = "off";
static const char __pyx_k_png[] = "png";
static const char __pyx_k_red[] = "red";
static const char __pyx_k_sum[] = "sum";
static const char __pyx_k_tie[] = "tie";
static const char __pyx_k_zip[] = "zip";
static const char __pyx_k_Loop[] = "Loop: {} - {}";
static const char __pyx_k_args[] = "args";
static const char __pyx_k_axis[] = "axis";
static const char __pyx_k_bake[] = "bake";
static const char __pyx_k_base[] = "base";
static const char __pyx_k_blue[] = "blue";
static const char __pyx_k_data[] = "data";
static const char __pyx_k_dict[] = "__dict__";
static const char __pyx_k_draw[] = "draw";
static const char __pyx_k_ends[] = "ends";
static const char __pyx_k_exit[] = "__exit__";
static const char __pyx_k_full[] = "full";
static const char __pyx_k_grey[] = "grey";
static const char __pyx_k_init[] = "init";
static const char __pyx_k_keys[] = "keys";
static const char __pyx_k_main[] = "__main__";
static const char __pyx_k_math[] = "math";
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_ones[] = "ones";
static const char __pyx_k_pack[] = "pack";
static const char __pyx_k_path[] = "path";
static const char __pyx_k_prog[] = "prog";
static const char __pyx_k_send[] = "send";
static const char __pyx_k_size[] = "size";
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_thaw[] = "thaw";
static const char __pyx_k_time[] = "time";
static const char __pyx_k_warn[] = "warn";
static const char __pyx_k_ASCII[] = "ASCII";
static const char __pyx_k_array[] = "array";
static const char __pyx_k_blank[] = "blank";
static const char __pyx_k_class[] = "class";
static const char __pyx_k_close[] = "close";
static const char __pyx_k_color[] = "color";
static const char __pyx_k_dtype[] = "dtype";
static const char __pyx_k_edges[] = "edges";
static const char __pyx_k_empty[] = "empty";
static const char __pyx_k_end_2[] = "-end";
static const char __pyx_k_enter[] = "__enter__";
static const char __pyx_k_epoch[] = "epoch";
static const char __pyx_k_error[] = "error";
static const char __pyx_k_flags[] = "flags";
static const char __pyx_k_graph[] = "graph";
static const char __pyx_k_group[] = "group";
static const char __pyx_k_image[] = "image";
static const char __pyx_k_index[] = "index";
static const char __pyx_k_int32[] = "int32";
static const char __pyx_k_items[] = "items";
static const char __pyx_k_label[] = "label";
static const char __pyx_k_lower[] = "lower";
static const char __pyx_k_merge[] = "merge";
static const char __pyx_k_model[] = "model";
static const char __pyx_k_nodes[] = "nodes";
static const char __pyx_k_numpy[] = "numpy";
static const char __pyx_k_other[] = "other";
static const char __pyx_k_print[] = "print";
static const char __pyx_k_range[] = "range";
static const char __pyx_k_round[] = "round";
static const char __pyx_k_shape[] = "shape";
static const char __pyx_k_start[] = "start";
static const char __pyx_k_throw[] = "throw";
static const char __pyx_k_union[] = "union";
static const char __pyx_k_utils[] = "utils";
static const char __pyx_k_zeros[] = "zeros";
static const char __pyx_k_AGraph[] = "AGraph";
static const char __pyx_k_Kmeans[] = "Kmeans";
static const char __pyx_k_append[] = "append";
static const char __pyx_k_encode[] = "encode";
static const char __pyx_k_extend[] = "extend";
static const char __pyx_k_format[] = "format";
static const char __pyx_k_freeze[] = "freeze";
static const char __pyx_k_frozen[] = "frozen";
static const char __pyx_k_groups[] = "groups";
static const char __pyx_k_import[] = "__import__";
static const char __pyx_k_imread[] = "imread";
static const char __pyx_k_imshow[] = "imshow";
static const char __pyx_k_joblib[] = "joblib";
static const char __pyx_k_keymap[] = "keymap";
static const char __pyx_k_kmeans[] = "kmeans++";
static const char __pyx_k_labels[] = "labels";
static const char __pyx_k_length[] = "length";
static const char __pyx_k_merged[] = "{} : {} - {} merged";
static const char __pyx_k_n_init[] = "n_init";
static const char __pyx_k_n_jobs[] = "n_jobs";
static const char __pyx_k_name_2[] = "__name__";
static const char __pyx_k_object[] = "object";
static const char __pyx_k_pickle[] = "pickle";
static const char __pyx_k_prefix[] = "prefix";
static const char __pyx_k_reduce[] = "__reduce__";
static const char __pyx_k_sample[] = "sample";
static const char __pyx_k_sorted[] = "sorted";
static const char __pyx_k_starts[] = "starts";
static const char __pyx_k_states[] = "states";
static const char __pyx_k_struct[] = "struct";
static const char __pyx_k_suffix[] = "suffix";
static const char __pyx_k_symbol[] = "symbol";
static const char __pyx_k_unique[] = "unique";
static const char __pyx_k_unpack[] = "unpack";
static const char __pyx_k_update[] = "update";
static const char __pyx_k_values[] = "values";
static const char __pyx_k_weight[] = "weight";
static const char __pyx_k_DiGraph[] = "DiGraph";
static const char __pyx_k_History[] = "History";
static const char __pyx_k_backend[] = "backend";
static const char __pyx_k_batches[] = "batches";
static const char __pyx_k_class_2[] = "__class__";
static const char __pyx_k_delayed[] = "delayed";
static const char __pyx_k_float64[] = "float64";
static const char __pyx_k_fortran[] = "fortran";
static const char __pyx_k_forward[] = "forward";
static const char __pyx_k_genexpr[] = "genexpr";
static const char __pyx_k_getitem[] = "__getitem__";
static const char __pyx_k_inertia[] = "inertia";
static const char __pyx_k_labeled[] = "labeled";
static const char __pyx_k_memview[] = "memview";
static const char __pyx_k_partial[] = "partial";
static const char __pyx_k_predict[] = "predict";
static const char __pyx_k_randint[] = "randint";
static const char __pyx_k_reshape[] = "reshape";
static const char __pyx_k_start_2[] = "-start";
static const char __pyx_k_to_dict[] = "to_dict";
static const char __pyx_k_uniform[] = "uniform";
static const char __pyx_k_verbose[] = "verbose";
static const char __pyx_k_viterbi[] = "viterbi";
static const char __pyx_k_weights[] = "weights";
static const char __pyx_k_Ellipsis[] = "Ellipsis";
static const char __pyx_k_KeyError[] = "KeyError";
static const char __pyx_k_Parallel[] = "Parallel";
static const char __pyx_k_add_edge[] = "add_edge";
static const char __pyx_k_add_node[] = "add_node";
static const char __pyx_k_backward[] = "backward";
static const char __pyx_k_directed[] = "directed";
static const char __pyx_k_discrete[] = "discrete";
static const char __pyx_k_duration[] = "duration";
static const char __pyx_k_getstate[] = "__getstate__";
static const char __pyx_k_itemsize[] = "itemsize";
static const char __pyx_k_kmeans_2[] = "kmeans";
static const char __pyx_k_lr_decay[] = "lr_decay";
static const char __pyx_k_networkx[] = "networkx";
static const char __pyx_k_operator[] = "operator";
static const char __pyx_k_pyx_type[] = "__pyx_type";
static const char __pyx_k_reversed[] = "reversed";
static const char __pyx_k_sequence[] = "sequence";
static const char __pyx_k_setstate[] = "__setstate__";
static const char __pyx_k_subgraph[] = "subgraph";
static const char __pyx_k_tempfile[] = "tempfile";
static const char __pyx_k_warnings[] = "warnings";
static const char __pyx_k_TypeError[] = "TypeError";
static const char __pyx_k_add_state[] = "add_state";
static const char __pyx_k_algorithm[] = "algorithm";
static const char __pyx_k_callbacks[] = "callbacks";
static const char __pyx_k_check_nan[] = "_check_nan";
static const char __pyx_k_end_index[] = "end_index";
static const char __pyx_k_end_state[] = "end_state";
static const char __pyx_k_enumerate[] = "enumerate";
static const char __pyx_k_from_dict[] = "from_dict";
static const char __pyx_k_is_silent[] = "is_silent";
static const char __pyx_k_precision[] = "precision";
static const char __pyx_k_pyx_state[] = "__pyx_state";
static const char __pyx_k_reduce_ex[] = "__reduce_ex__";
static const char __pyx_k_sequences[] = "sequences";
static const char __pyx_k_summarize[] = "summarize";
static const char __pyx_k_threading[] = "threading";
static const char __pyx_k_IndexError[] = "IndexError";
static const char __pyx_k_ValueError[] = "ValueError";
static const char __pyx_k_add_states[] = "add_states";
static const char __pyx_k_attrgetter[] = "attrgetter";
static const char __pyx_k_baum_welch[] = "baum-welch";
static const char __pyx_k_pygraphviz[] = "pygraphviz";
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_SyntaxError[] = "SyntaxError";
static const char __pyx_k_check_input[] = "_check_input";
static const char __pyx_k_concatenate[] = "concatenate";
static const char __pyx_k_from_matrix[] = "from_matrix";
static const char __pyx_k_improvement[] = "improvement";
static const char __pyx_k_probability[] = "probability";
static const char __pyx_k_pseudocount[] = "pseudocount";
static const char __pyx_k_remove_edge[] = "remove_edge";
static const char __pyx_k_remove_node[] = "remove_node";
static const char __pyx_k_start_index[] = "start_index";
static const char __pyx_k_state_names[] = "state_names";
static const char __pyx_k_distribution[] = "distribution";
static const char __pyx_k_edge_inertia[] = "edge_inertia";
static const char __pyx_k_from_samples[] = "from_samples";
static const char __pyx_k_multivariate[] = "multivariate";
static const char __pyx_k_n_components[] = "n_components";
static const char __pyx_k_on_epoch_end[] = "on_epoch_end";
static const char __pyx_k_pseudocounts[] = "pseudocounts";
static const char __pyx_k_pyx_checksum[] = "__pyx_checksum";
static const char __pyx_k_random_state[] = "random_state";
static const char __pyx_k_silent_index[] = "silent_index";
static const char __pyx_k_stringsource[] = "stringsource";
static const char __pyx_k_BaseGenerator[] = "BaseGenerator";
static const char __pyx_k_check_input_2[] = "check_input";
static const char __pyx_k_distributions[] = "distributions";
static const char __pyx_k_label_ndarray[] = "label_ndarray";
static const char __pyx_k_learning_rate[] = "learning_rate";
static const char __pyx_k_probabilities[] = "probabilities";
static const char __pyx_k_pyx_getbuffer[] = "__pyx_getbuffer";
static const char __pyx_k_reduce_cython[] = "__reduce_cython__";
static const char __pyx_k_add_transition[] = "add_transition";
static const char __pyx_k_epoch_end_time[] = "epoch_end_time";
static const char __pyx_k_from_summaries[] = "from_summaries";
static const char __pyx_k_max_iterations[] = "max_iterations";
static const char __pyx_k_min_iterations[] = "min_iterations";
static const char __pyx_k_n_seen_batches[] = "n_seen_batches";
static const char __pyx_k_return_history[] = "return_history";
static const char __pyx_k_stop_threshold[] = "stop_threshold";
static const char __pyx_k_View_MemoryView[] = "View.MemoryView";
static const char __pyx_k_allocate_buffer[] = "allocate_buffer";
static const char __pyx_k_clear_summaries[] = "clear_summaries";
static const char __pyx_k_dtype_is_object[] = "dtype_is_object";
static const char __pyx_k_labeled_batches[] = "labeled_batches";
static const char __pyx_k_log_probability[] = "log_probability";
static const char __pyx_k_on_training_end[] = "on_training_end";
static const char __pyx_k_pomegranate_hmm[] = "pomegranate.hmm";
static const char __pyx_k_pyx_PickleError[] = "__pyx_PickleError";
static const char __pyx_k_setstate_cython[] = "__setstate_cython__";
static const char __pyx_k_use_pseudocount[] = "use_pseudocount";
static const char __pyx_k_epoch_start_time[] = "epoch_start_time";
static const char __pyx_k_matplotlib_image[] = "matplotlib.image";
static const char __pyx_k_sequence_ndarray[] = "sequence_ndarray";
static const char __pyx_k_HiddenMarkovModel[] = "HiddenMarkovModel";
static const char __pyx_k_SequenceGenerator[] = "SequenceGenerator";
static const char __pyx_k_batches_per_epoch[] = "batches_per_epoch";
static const char __pyx_k_distribution_ties[] = "distribution ties";
static const char __pyx_k_free_bake_buffers[] = "free_bake_buffers";
static const char __pyx_k_labeled_summarize[] = "_labeled_summarize";
static const char __pyx_k_matplotlib_pyplot[] = "matplotlib.pyplot";
static const char __pyx_k_on_training_begin[] = "on_training_begin";
static const char __pyx_k_predict_log_proba[] = "predict_log_proba";
static const char __pyx_k_pyx_unpickle_Enum[] = "__pyx_unpickle_Enum";
static const char __pyx_k_total_improvement[] = "total_improvement";
static const char __pyx_k_unlabeled_batches[] = "unlabeled_batches";
static const char __pyx_k_viterbi_summarize[] = "_viterbi_summarize";
static const char __pyx_k_NamedTemporaryFile[] = "NamedTemporaryFile";
static const char __pyx_k_check_random_state[] = "check_random_state";
static const char __pyx_k_cline_in_traceback[] = "cline_in_traceback";
static const char __pyx_k_fit_locals_genexpr[] = "fit.<locals>.genexpr";
static const char __pyx_k_strided_and_direct[] = "<strided and direct>";
static const char __pyx_k_bake_locals_genexpr[] = "bake.<locals>.genexpr";
static const char __pyx_k_pomegranate_hmm_pyx[] = "pomegranate/hmm.pyx";
static const char __pyx_k_Improvement_Time_s_4[] = "[{}] Improvement: {}\tTime (s): {:.4}";
static const char __pyx_k_NeuralNetworkWrapper[] = "NeuralNetworkWrapper";
static const char __pyx_k_baum_welch_summarize[] = "_baum_welch_summarize";
static const char __pyx_k_distribution_inertia[] = "distribution_inertia";
static const char __pyx_k_emission_pseudocount[] = "emission_pseudocount";
static const char __pyx_k_last_log_probability[] = "last_log_probability";
static const char __pyx_k_maximum_a_posteriori[] = "maximum_a_posteriori";
static const char __pyx_k_multiple_check_input[] = "multiple_check_input";
static const char __pyx_k_strided_and_indirect[] = "<strided and indirect>";
static const char __pyx_k_contiguous_and_direct[] = "<contiguous and direct>";
static const char __pyx_k_max_kmeans_iterations[] = "max_kmeans_iterations";
static const char __pyx_k_MemoryView_of_r_object[] = "<MemoryView of %r object>";
static const char __pyx_k_transition_pseudocount[] = "transition_pseudocount";
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_initial_log_probability[] = "initial_log_probability";
static const char __pyx_k_Cannot_index_with_type_s[] = "Cannot index with type '%s'";
static const char __pyx_k_Total_Training_Time_s_4f[] = "Total Training Time (s): {:.4f}";
static const char __pyx_k_transition_probabilities[] = "transition_probabilities";
static const char __pyx_k_Invalid_shape_in_axis_d_d[] = "Invalid shape in axis %d: %d.";
static const char __pyx_k_initialization_batch_size[] = "initialization_batch_size";
static const char __pyx_k_Total_Training_Improvement[] = "Total Training Improvement: {}";
static const char __pyx_k_from_samples_locals_genexpr[] = "from_samples.<locals>.genexpr";
static const char __pyx_k_itemsize_0_for_cython_array[] = "itemsize <= 0 for cython.array";
static const char __pyx_k_summed_to_normalized_to_1_0[] = "{} : {} summed to {}, normalized to 1.0";
static const char __pyx_k_unable_to_allocate_array_data[] = "unable to allocate array data.";
static const char __pyx_k_Warning_Sequence_is_impossible[] = "Warning: Sequence is impossible.";
static const char __pyx_k_mis_matching_inputs_for_states[] = "mis-matching inputs for states";
static const char __pyx_k_must_bake_model_before_fitting[] = "must bake model before fitting";
static const char __pyx_k_strided_and_direct_or_indirect[] = "<strided and direct or indirect>";
static const char __pyx_k_must_bake_model_before_sampling[] = "must bake model before sampling";
static const char __pyx_k_numpy_core_multiarray_failed_to[] = "numpy.core.multiarray failed to import";
static const char __pyx_k_A_state_with_name_already_exists[] = "A state with name '{}' already exists";
static const char __pyx_k_Add_many_transitions_at_the_same[] = "Add many transitions at the same time,\n\n        Parameters\n        ----------\n        a : State or list\n            Either a state or a list of states where the edges originate.\n\n        b : State or list\n            Either a state or a list of states where the edges go to.\n\n        probabilities : list\n            The probabilities associated with each transition.\n\n        pseudocounts : list, optional\n            The pseudocounts associated with each transition. Default is None.\n\n        groups : list, optional\n            The groups of each edge. Default is None.\n\n        Returns\n        -------\n        None\n\n        Examples\n        --------\n        >>> model.add_transitions([model.start, s1], [s1, model.end], [1., 1.])\n        >>> model.add_transitions([model.start, s1, s2, s3], s4, [0.2, 0.4, 0.3, 0.9])\n        >>> model.add_transitions(model.start, [s1, s2, s3], [0.6, 0.2, 0.05])\n        ";
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_Empty_shape_tuple_for_cython_arr[] = "Empty shape tuple for cython.array";
static const char __pyx_k_HiddenMarkovModel_add_transition[] = "HiddenMarkovModel.add_transitions (line 419)";
static const char __pyx_k_Incompatible_checksums_s_vs_0xb0[] = "Incompatible checksums (%s vs 0xb068931 = (name))";
static const char __pyx_k_Indirect_dimensions_not_supporte[] = "Indirect dimensions not supported";
static const char __pyx_k_Install_pygraphviz_for_nicer_vis[] = "Install pygraphviz for nicer visualizations";
static const char __pyx_k_Invalid_mode_expected_c_or_fortr[] = "Invalid mode, expected 'c' or 'fortran', got %s";
static const char __pyx_k_Model_end_has_been_deleted_leavi[] = "Model.end has been deleted, leaving the                 model with no end. Please ensure it has an end.";
static const char __pyx_k_Model_start_has_been_deleted_lea[] = "Model.start has been deleted, leaving the                 model with no start. Please ensure it has a start.";
static const char __pyx_k_Orphan_state_removed_due_to_no_e[] = "Orphan state {} removed due to no edges                             leading to it";
static const char __pyx_k_Out_of_bounds_on_buffer_access_a[] = "Out of bounds on buffer access (axis %d)";
static const char __pyx_k_Specified_components_but_only_di[] = "Specified {} components, but only {} different labels observed";
static const char __pyx_k_Symbol_is_not_defined_in_a_distr[] = "Symbol '{}' is not defined in a distribution";
static const char __pyx_k_Unable_to_convert_item_to_object[] = "Unable to convert item to object";
static const char __pyx_k_algorithm_must_be_map_or_viterbi[] = "algorithm must be map or viterbi";
static const char __pyx_k_distributions_NeuralNetworkWrapp[] = "distributions.NeuralNetworkWrapper";
static const char __pyx_k_got_differing_extents_in_dimensi[] = "got differing extents in dimension %d (got %d and %d)";
static const char __pyx_k_lexicographical_topological_sort[] = "lexicographical_topological_sort";
static const char __pyx_k_must_bake_model_before_computing[] = "must bake model before computing probability";
static const char __pyx_k_must_bake_model_before_predictio[] = "must bake model before prediction";
static const char __pyx_k_must_bake_model_before_summarizi[] = "must bake model before summarizing data";
static const char __pyx_k_must_bake_model_before_using_MAP[] = "must bake model before using MAP decoding";
static const char __pyx_k_must_bake_model_before_using_Vit[] = "must bake model before using Viterbi algorithm";
static const char __pyx_k_must_bake_model_before_using_bac[] = "must bake model before using backward algorithm";
static const char __pyx_k_must_bake_model_before_using_for[] = "must bake model before using forward algorithm";
static const char __pyx_k_must_bake_model_before_using_fro[] = "must bake model before using from summaries";
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_umath_failed_to_impor[] = "numpy.core.umath failed to import";
static const char __pyx_k_unable_to_allocate_shape_and_str[] = "unable to allocate shape and strides.";
static const char __pyx_k_Orphan_state_removed_due_to_no_e_2[] = "Orphan state {} removed due to no edges                             leaving it";
static const char __pyx_k_must_bake_model_before_using_for_2[] = "must bake model before using forward-backward algorithm";
static PyObject *__pyx_n_s_AGraph;
static PyObject *__pyx_n_s_ASCII;
static PyObject *__pyx_kp_s_A_state_with_name_already_exists;
static PyObject *__pyx_kp_u_Add_many_transitions_at_the_same;
static PyObject *__pyx_n_s_All;
static PyObject *__pyx_n_s_BaseGenerator;
static PyObject *__pyx_kp_s_Buffer_view_does_not_expose_stri;
static PyObject *__pyx_kp_s_Can_only_create_a_buffer_that_is;
static PyObject *__pyx_kp_s_Cannot_assign_to_read_only_memor;
static PyObject *__pyx_kp_s_Cannot_create_writable_memory_vi;
static PyObject *__pyx_kp_s_Cannot_index_with_type_s;
static PyObject *__pyx_n_s_DiGraph;
static PyObject *__pyx_n_s_Ellipsis;
static PyObject *__pyx_kp_s_Empty_shape_tuple_for_cython_arr;
static PyObject *__pyx_n_s_HiddenMarkovModel;
static PyObject *__pyx_kp_u_HiddenMarkovModel_add_transition;
static PyObject *__pyx_n_s_History;
static PyObject *__pyx_n_s_ImportError;
static PyObject *__pyx_kp_s_Improvement_Time_s_4;
static PyObject *__pyx_kp_s_Incompatible_checksums_s_vs_0xb0;
static PyObject *__pyx_n_s_IndexError;
static PyObject *__pyx_kp_s_Indirect_dimensions_not_supporte;
static PyObject *__pyx_kp_s_Install_pygraphviz_for_nicer_vis;
static PyObject *__pyx_kp_s_Invalid_mode_expected_c_or_fortr;
static PyObject *__pyx_kp_s_Invalid_shape_in_axis_d_d;
static PyObject *__pyx_n_s_KeyError;
static PyObject *__pyx_n_s_Kmeans;
static PyObject *__pyx_kp_s_Loop;
static PyObject *__pyx_n_s_MemoryError;
static PyObject *__pyx_kp_s_MemoryView_of_r_at_0x_x;
static PyObject *__pyx_kp_s_MemoryView_of_r_object;
static PyObject *__pyx_kp_s_Model_end_has_been_deleted_leavi;
static PyObject *__pyx_kp_s_Model_start_has_been_deleted_lea;
static PyObject *__pyx_n_s_NamedTemporaryFile;
static PyObject *__pyx_n_s_NeuralNetworkWrapper;
static PyObject *__pyx_n_b_O;
static PyObject *__pyx_kp_s_Orphan_state_removed_due_to_no_e;
static PyObject *__pyx_kp_s_Orphan_state_removed_due_to_no_e_2;
static PyObject *__pyx_kp_s_Out_of_bounds_on_buffer_access_a;
static PyObject *__pyx_n_s_Parallel;
static PyObject *__pyx_n_s_PickleError;
static PyObject *__pyx_n_s_SequenceGenerator;
static PyObject *__pyx_kp_s_Specified_components_but_only_di;
static PyObject *__pyx_kp_s_Symbol_is_not_defined_in_a_distr;
static PyObject *__pyx_n_s_SyntaxError;
static PyObject *__pyx_kp_s_Total_Training_Improvement;
static PyObject *__pyx_kp_s_Total_Training_Time_s_4f;
static PyObject *__pyx_n_s_TypeError;
static PyObject *__pyx_kp_s_Unable_to_convert_item_to_object;
static PyObject *__pyx_n_s_ValueError;
static PyObject *__pyx_n_s_View_MemoryView;
static PyObject *__pyx_kp_s_Warning_Sequence_is_impossible;
static PyObject *__pyx_n_s_X;
static PyObject *__pyx_kp_s__2;
static PyObject *__pyx_kp_s__3;
static PyObject *__pyx_n_s__4;
static PyObject *__pyx_n_s_a;
static PyObject *__pyx_n_s_add;
static PyObject *__pyx_n_s_add_edge;
static PyObject *__pyx_n_s_add_node;
static PyObject *__pyx_n_s_add_state;
static PyObject *__pyx_n_s_add_states;
static PyObject *__pyx_n_s_add_transition;
static PyObject *__pyx_n_s_adj;
static PyObject *__pyx_n_s_algorithm;
static PyObject *__pyx_kp_s_algorithm_must_be_map_or_viterbi;
static PyObject *__pyx_n_s_all;
static PyObject *__pyx_n_s_allocate_buffer;
static PyObject *__pyx_n_s_append;
static PyObject *__pyx_n_s_args;
static PyObject *__pyx_n_s_array;
static PyObject *__pyx_n_s_attrgetter;
static PyObject *__pyx_n_s_axis;
static PyObject *__pyx_n_s_b;
static PyObject *__pyx_n_s_backend;
static PyObject *__pyx_n_s_backward;
static PyObject *__pyx_n_s_bake;
static PyObject *__pyx_n_s_bake_locals_genexpr;
static PyObject *__pyx_n_s_base;
static PyObject *__pyx_n_s_batches;
static PyObject *__pyx_n_s_batches_per_epoch;
static PyObject *__pyx_kp_s_baum_welch;
static PyObject *__pyx_n_s_baum_welch_summarize;
static PyObject *__pyx_n_s_blank;
static PyObject *__pyx_n_s_blue;
static PyObject *__pyx_n_s_c;
static PyObject *__pyx_n_u_c;
static PyObject *__pyx_n_s_callbacks;
static PyObject *__pyx_n_s_check_input;
static PyObject *__pyx_n_s_check_input_2;
static PyObject *__pyx_n_s_check_nan;
static PyObject *__pyx_n_s_check_random_state;
static PyObject *__pyx_n_s_class;
static PyObject *__pyx_n_s_class_2;
static PyObject *__pyx_n_s_clear_summaries;
static PyObject *__pyx_n_s_cline_in_traceback;
static PyObject *__pyx_n_s_close;
static PyObject *__pyx_n_s_color;
static PyObject *__pyx_n_s_concatenate;
static PyObject *__pyx_kp_s_contiguous_and_direct;
static PyObject *__pyx_kp_s_contiguous_and_indirect;
static PyObject *__pyx_n_s_d;
static PyObject *__pyx_n_s_data;
static PyObject *__pyx_n_s_delayed;
static PyObject *__pyx_n_s_dict;
static PyObject *__pyx_n_s_directed;
static PyObject *__pyx_n_s_discrete;
static PyObject *__pyx_n_s_distribution;
static PyObject *__pyx_n_s_distribution_inertia;
static PyObject *__pyx_kp_s_distribution_ties;
static PyObject *__pyx_n_s_distributions;
static PyObject *__pyx_n_s_distributions_NeuralNetworkWrapp;
static PyObject *__pyx_n_s_dot;
static PyObject *__pyx_n_s_draw;
static PyObject *__pyx_n_s_dtype;
static PyObject *__pyx_n_s_dtype_is_object;
static PyObject *__pyx_n_s_duration;
static PyObject *__pyx_n_s_e;
static PyObject *__pyx_n_s_edge_inertia;
static PyObject *__pyx_n_s_edges;
static PyObject *__pyx_n_s_emission_pseudocount;
static PyObject *__pyx_n_s_empty;
static PyObject *__pyx_n_s_encode;
static PyObject *__pyx_n_s_end;
static PyObject *__pyx_kp_s_end_2;
static PyObject *__pyx_n_s_end_index;
static PyObject *__pyx_n_s_end_state;
static PyObject *__pyx_n_s_ends;
static PyObject *__pyx_n_s_enter;
static PyObject *__pyx_n_s_enumerate;
static PyObject *__pyx_n_s_epoch;
static PyObject *__pyx_n_s_epoch_end_time;
static PyObject *__pyx_n_s_epoch_start_time;
static PyObject *__pyx_n_s_error;
static PyObject *__pyx_n_s_exit;
static PyObject *__pyx_n_s_exp;
static PyObject *__pyx_n_s_extend;
static PyObject *__pyx_n_s_fit;
static PyObject *__pyx_n_s_fit_locals_genexpr;
static PyObject *__pyx_n_s_flags;
static PyObject *__pyx_n_s_float64;
static PyObject *__pyx_n_s_format;
static PyObject *__pyx_n_s_fortran;
static PyObject *__pyx_n_u_fortran;
static PyObject *__pyx_n_s_forward;
static PyObject *__pyx_n_s_free_bake_buffers;
static PyObject *__pyx_n_s_freeze;
static PyObject *__pyx_n_s_from_dict;
static PyObject *__pyx_n_s_from_matrix;
static PyObject *__pyx_n_s_from_samples;
static PyObject *__pyx_n_s_from_samples_locals_genexpr;
static PyObject *__pyx_n_s_from_summaries;
static PyObject *__pyx_n_s_frozen;
static PyObject *__pyx_n_s_full;
static PyObject *__pyx_n_s_genexpr;
static PyObject *__pyx_n_s_get;
static PyObject *__pyx_n_s_getitem;
static PyObject *__pyx_n_s_getstate;
static PyObject *__pyx_kp_s_got_differing_extents_in_dimensi;
static PyObject *__pyx_n_s_graph;
static PyObject *__pyx_n_s_grey;
static PyObject *__pyx_n_s_group;
static PyObject *__pyx_n_s_groups;
static PyObject *__pyx_n_s_i;
static PyObject *__pyx_n_s_id;
static PyObject *__pyx_n_s_image;
static PyObject *__pyx_n_s_import;
static PyObject *__pyx_n_s_improvement;
static PyObject *__pyx_n_s_imread;
static PyObject *__pyx_n_s_imshow;
static PyObject *__pyx_n_s_index;
static PyObject *__pyx_n_s_inertia;
static PyObject *__pyx_n_s_init;
static PyObject *__pyx_n_s_initial_log_probability;
static PyObject *__pyx_n_s_initialization_batch_size;
static PyObject *__pyx_n_s_int32;
static PyObject *__pyx_n_s_io;
static PyObject *__pyx_n_s_is_silent;
static PyObject *__pyx_n_s_items;
static PyObject *__pyx_n_s_itemsize;
static PyObject *__pyx_kp_s_itemsize_0_for_cython_array;
static PyObject *__pyx_n_s_j;
static PyObject *__pyx_n_s_joblib;
static PyObject *__pyx_n_s_key;
static PyObject *__pyx_n_s_keymap;
static PyObject *__pyx_n_s_keys;
static PyObject *__pyx_kp_s_kmeans;
static PyObject *__pyx_n_s_kmeans_2;
static PyObject *__pyx_n_s_label;
static PyObject *__pyx_n_s_label_ndarray;
static PyObject *__pyx_n_s_labeled;
static PyObject *__pyx_n_s_labeled_batches;
static PyObject *__pyx_n_s_labeled_summarize;
static PyObject *__pyx_n_s_labels;
static PyObject *__pyx_n_s_last_log_probability;
static PyObject *__pyx_n_s_learning_rate;
static PyObject *__pyx_n_s_len;
static PyObject *__pyx_n_s_length;
static PyObject *__pyx_n_s_lexicographical_topological_sort;
static PyObject *__pyx_n_s_log_probability;
static PyObject *__pyx_n_s_lower;
static PyObject *__pyx_n_s_lr_decay;
static PyObject *__pyx_n_s_main;
static PyObject *__pyx_n_s_map;
static PyObject *__pyx_n_s_math;
static PyObject *__pyx_n_s_matplotlib_image;
static PyObject *__pyx_n_s_matplotlib_pyplot;
static PyObject *__pyx_n_s_max_iterations;
static PyObject *__pyx_n_s_max_kmeans_iterations;
static PyObject *__pyx_n_s_maximum_a_posteriori;
static PyObject *__pyx_n_s_memview;
static PyObject *__pyx_n_s_merge;
static PyObject *__pyx_kp_s_merged;
static PyObject *__pyx_n_s_min_iterations;
static PyObject *__pyx_kp_s_mis_matching_inputs_for_states;
static PyObject *__pyx_n_s_mode;
static PyObject *__pyx_n_s_model;
static PyObject *__pyx_n_s_multiple_check_input;
static PyObject *__pyx_n_s_multivariate;
static PyObject *__pyx_kp_s_must_bake_model_before_computing;
static PyObject *__pyx_kp_s_must_bake_model_before_fitting;
static PyObject *__pyx_kp_s_must_bake_model_before_predictio;
static PyObject *__pyx_kp_s_must_bake_model_before_sampling;
static PyObject *__pyx_kp_s_must_bake_model_before_summarizi;
static PyObject *__pyx_kp_s_must_bake_model_before_using_MAP;
static PyObject *__pyx_kp_s_must_bake_model_before_using_Vit;
static PyObject *__pyx_kp_s_must_bake_model_before_using_bac;
static PyObject *__pyx_kp_s_must_bake_model_before_using_for;
static PyObject *__pyx_kp_s_must_bake_model_before_using_for_2;
static PyObject *__pyx_kp_s_must_bake_model_before_using_fro;
static PyObject *__pyx_n_s_n;
static PyObject *__pyx_n_s_n_components;
static PyObject *__pyx_n_s_n_init;
static PyObject *__pyx_n_s_n_jobs;
static PyObject *__pyx_n_s_n_seen_batches;
static PyObject *__pyx_n_s_name;
static PyObject *__pyx_n_s_name_2;
static PyObject *__pyx_n_s_nan;
static PyObject *__pyx_n_s_ndim;
static PyObject *__pyx_n_s_networkx;
static PyObject *__pyx_n_s_new;
static PyObject *__pyx_kp_s_no_default___reduce___due_to_non;
static PyObject *__pyx_n_s_nodes;
static PyObject *__pyx_n_s_numpy;
static PyObject *__pyx_kp_s_numpy_core_multiarray_failed_to;
static PyObject *__pyx_kp_s_numpy_core_umath_failed_to_impor;
static PyObject *__pyx_n_s_obj;
static PyObject *__pyx_n_s_object;
static PyObject *__pyx_n_s_off;
static PyObject *__pyx_n_s_on_epoch_end;
static PyObject *__pyx_n_s_on_training_begin;
static PyObject *__pyx_n_s_on_training_end;
static PyObject *__pyx_n_s_ones;
static PyObject *__pyx_n_s_operator;
static PyObject *__pyx_n_s_other;
static PyObject *__pyx_n_s_pack;
static PyObject *__pyx_n_s_partial;
static PyObject *__pyx_n_s_path;
static PyObject *__pyx_n_s_pickle;
static PyObject *__pyx_n_s_png;
static PyObject *__pyx_n_s_pomegranate_hmm;
static PyObject *__pyx_kp_s_pomegranate_hmm_pyx;
static PyObject *__pyx_n_s_precision;
static PyObject *__pyx_n_s_predict;
static PyObject *__pyx_n_s_predict_log_proba;
static PyObject *__pyx_n_s_prefix;
static PyObject *__pyx_n_s_print;
static PyObject *__pyx_n_s_probabilities;
static PyObject *__pyx_n_s_probability;
static PyObject *__pyx_n_s_prog;
static PyObject *__pyx_n_s_pseudocount;
static PyObject *__pyx_n_s_pseudocounts;
static PyObject *__pyx_n_s_pygraphviz;
static PyObject *__pyx_n_s_pyx_PickleError;
static PyObject *__pyx_n_s_pyx_checksum;
static PyObject *__pyx_n_s_pyx_getbuffer;
static PyObject *__pyx_n_s_pyx_result;
static PyObject *__pyx_n_s_pyx_state;
static PyObject *__pyx_n_s_pyx_type;
static PyObject *__pyx_n_s_pyx_unpickle_Enum;
static PyObject *__pyx_n_s_pyx_vtable;
static PyObject *__pyx_n_s_randint;
static PyObject *__pyx_n_s_random_state;
static PyObject *__pyx_n_s_range;
static PyObject *__pyx_n_s_red;
static PyObject *__pyx_n_s_reduce;
static PyObject *__pyx_n_s_reduce_cython;
static PyObject *__pyx_n_s_reduce_ex;
static PyObject *__pyx_n_s_remove_edge;
static PyObject *__pyx_n_s_remove_node;
static PyObject *__pyx_n_s_reshape;
static PyObject *__pyx_n_s_return_history;
static PyObject *__pyx_n_s_reversed;
static PyObject *__pyx_n_s_round;
static PyObject *__pyx_kp_s_s;
static PyObject *__pyx_n_s_sample;
static PyObject *__pyx_n_s_send;
static PyObject *__pyx_n_s_sequence;
static PyObject *__pyx_n_s_sequence_ndarray;
static PyObject *__pyx_n_s_sequences;
static PyObject *__pyx_n_s_setstate;
static PyObject *__pyx_n_s_setstate_cython;
static PyObject *__pyx_n_s_shape;
static PyObject *__pyx_n_s_silent_index;
static PyObject *__pyx_n_s_size;
static PyObject *__pyx_n_s_sorted;
static PyObject *__pyx_n_s_start;
static PyObject *__pyx_kp_s_start_2;
static PyObject *__pyx_n_s_start_index;
static PyObject *__pyx_n_s_starts;
static PyObject *__pyx_n_s_state_names;
static PyObject *__pyx_n_s_states;
static PyObject *__pyx_n_s_step;
static PyObject *__pyx_n_s_stop;
static PyObject *__pyx_n_s_stop_threshold;
static PyObject *__pyx_kp_s_strided_and_direct;
static PyObject *__pyx_kp_s_strided_and_direct_or_indirect;
static PyObject *__pyx_kp_s_strided_and_indirect;
static PyObject *__pyx_kp_s_stringsource;
static PyObject *__pyx_n_s_struct;
static PyObject *__pyx_n_s_subgraph;
static PyObject *__pyx_n_s_suffix;
static PyObject *__pyx_n_s_sum;
static PyObject *__pyx_n_s_summarize;
static PyObject *__pyx_kp_s_summed_to_normalized_to_1_0;
static PyObject *__pyx_n_s_symbol;
static PyObject *__pyx_n_s_tempfile;
static PyObject *__pyx_n_s_test;
static PyObject *__pyx_n_s_thaw;
static PyObject *__pyx_n_s_threading;
static PyObject *__pyx_n_s_throw;
static PyObject *__pyx_n_s_tie;
static PyObject *__pyx_n_s_time;
static PyObject *__pyx_n_s_to_dict;
static PyObject *__pyx_n_s_total_improvement;
static PyObject *__pyx_n_s_transition_probabilities;
static PyObject *__pyx_n_s_transition_pseudocount;
static PyObject *__pyx_kp_s_unable_to_allocate_array_data;
static PyObject *__pyx_kp_s_unable_to_allocate_shape_and_str;
static PyObject *__pyx_n_s_uniform;
static PyObject *__pyx_n_s_union;
static PyObject *__pyx_n_s_unique;
static PyObject *__pyx_n_s_unlabeled_batches;
static PyObject *__pyx_n_s_unpack;
static PyObject *__pyx_n_s_update;
static PyObject *__pyx_n_s_use_pseudocount;
static PyObject *__pyx_n_s_utils;
static PyObject *__pyx_n_s_values;
static PyObject *__pyx_n_s_verbose;
static PyObject *__pyx_n_s_viterbi;
static PyObject *__pyx_n_s_viterbi_summarize;
static PyObject *__pyx_n_s_warn;
static PyObject *__pyx_n_s_warnings;
static PyObject *__pyx_n_s_weight;
static PyObject *__pyx_n_s_weights;
static PyObject *__pyx_n_s_zeros;
static PyObject *__pyx_n_s_zip;
static PyObject *__pyx_pf_11pomegranate_3hmm__check_input(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_sequence, PyObject *__pyx_v_model); /* proto */
static int __pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel___init__(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyObject *__pyx_v_name, PyObject *__pyx_v_start, PyObject *__pyx_v_end); /* proto */
static void __pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_2__dealloc__(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_4__getstate__(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_6__reduce__(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_8__setstate__(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyObject *__pyx_v_state); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_10free_bake_buffers(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_12add_state(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyObject *__pyx_v_state); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_14add_states(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyObject *__pyx_v_states); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_16add_transition(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyObject *__pyx_v_a, PyObject *__pyx_v_b, PyObject *__pyx_v_probability, PyObject *__pyx_v_pseudocount, PyObject *__pyx_v_group); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_18add_transitions(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyObject *__pyx_v_a, PyObject *__pyx_v_b, PyObject *__pyx_v_probabilities, PyObject *__pyx_v_pseudocounts, PyObject *__pyx_v_groups); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_20dense_transition_matrix(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_22copy(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_24freeze_distributions(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_26thaw_distributions(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_28add_model(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyObject *__pyx_v_other); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_30concatenate(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyObject *__pyx_v_other, PyObject *__pyx_v_suffix, PyObject *__pyx_v_prefix); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_32plot(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyObject *__pyx_v_precision, PyObject *__pyx_v_kwargs); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_4bake_genexpr(PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_34bake(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyObject *__pyx_v_verbose, PyObject *__pyx_v_merge); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_36sample(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyObject *__pyx_v_n, PyObject *__pyx_v_length, PyObject *__pyx_v_path, PyObject *__pyx_v_random_state); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_38log_probability(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyObject *__pyx_v_sequence, PyObject *__pyx_v_check_input); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_40forward(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyObject *__pyx_v_sequence); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_42backward(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyObject *__pyx_v_sequence); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_44forward_backward(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyObject *__pyx_v_sequence); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_46viterbi(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyObject *__pyx_v_sequence); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_48predict_proba(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyObject *__pyx_v_sequence); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_50predict_log_proba(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyObject *__pyx_v_sequence); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_52predict(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyObject *__pyx_v_sequence, PyObject *__pyx_v_algorithm); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_54maximum_a_posteriori(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyObject *__pyx_v_sequence); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_3fit_genexpr(PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_3fit_3genexpr(PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_3fit_6genexpr(PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_3fit_9genexpr(PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_56fit(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyObject *__pyx_v_sequences, PyObject *__pyx_v_weights, PyObject *__pyx_v_labels, PyObject *__pyx_v_stop_threshold, PyObject *__pyx_v_min_iterations, PyObject *__pyx_v_max_iterations, PyObject *__pyx_v_algorithm, PyObject *__pyx_v_pseudocount, PyObject *__pyx_v_transition_pseudocount, PyObject *__pyx_v_emission_pseudocount, PyObject *__pyx_v_use_pseudocount, PyObject *__pyx_v_inertia, PyObject *__pyx_v_edge_inertia, PyObject *__pyx_v_distribution_inertia, PyObject *__pyx_v_batches_per_epoch, PyObject *__pyx_v_lr_decay, PyObject *__pyx_v_callbacks, PyObject *__pyx_v_return_history, PyObject *__pyx_v_verbose, PyObject *__pyx_v_n_jobs, PyObject *__pyx_v_multiple_check_input); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_58summarize(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyObject *__pyx_v_sequences, PyObject *__pyx_v_weights, PyObject *__pyx_v_labels, PyObject *__pyx_v_algorithm, PyObject *__pyx_v_check_input); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_60_baum_welch_summarize(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyArrayObject *__pyx_v_sequence_ndarray, double __pyx_v_weight); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_62_viterbi_summarize(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyArrayObject *__pyx_v_sequence_ndarray, double __pyx_v_weight); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_64_labeled_summarize(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyArrayObject *__pyx_v_sequence_ndarray, PyArrayObject *__pyx_v_label_ndarray, double __pyx_v_weight); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_66from_summaries(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyObject *__pyx_v_inertia, PyObject *__pyx_v_pseudocount, PyObject *__pyx_v_transition_pseudocount, PyObject *__pyx_v_emission_pseudocount, PyObject *__pyx_v_use_pseudocount, PyObject *__pyx_v_edge_inertia, PyObject *__pyx_v_distribution_inertia); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_68clear_summaries(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_70to_dict(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_72from_dict(PyTypeObject *__pyx_v_cls, PyObject *__pyx_v_d, PyObject *__pyx_v_verbose); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_74from_matrix(PyTypeObject *__pyx_v_cls, PyObject *__pyx_v_transition_probabilities, PyObject *__pyx_v_distributions, PyObject *__pyx_v_starts, PyObject *__pyx_v_ends, PyObject *__pyx_v_state_names, PyObject *__pyx_v_name, PyObject *__pyx_v_verbose, PyObject *__pyx_v_merge); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_12from_samples_genexpr(PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_76from_samples(PyTypeObject *__pyx_v_cls, PyObject *__pyx_v_distribution, PyObject *__pyx_v_n_components, PyObject *__pyx_v_X, PyObject *__pyx_v_weights, PyObject *__pyx_v_labels, PyObject *__pyx_v_algorithm, PyObject *__pyx_v_inertia, PyObject *__pyx_v_edge_inertia, PyObject *__pyx_v_distribution_inertia, PyObject *__pyx_v_pseudocount, PyObject *__pyx_v_transition_pseudocount, PyObject *__pyx_v_emission_pseudocount, PyObject *__pyx_v_use_pseudocount, PyObject *__pyx_v_stop_threshold, PyObject *__pyx_v_min_iterations, PyObject *__pyx_v_max_iterations, PyObject *__pyx_v_n_init, PyObject *__pyx_v_init, PyObject *__pyx_v_max_kmeans_iterations, PyObject *__pyx_v_initialization_batch_size, PyObject *__pyx_v_batches_per_epoch, PyObject *__pyx_v_lr_decay, PyObject *__pyx_v_end_state, PyObject *__pyx_v_state_names, PyObject *__pyx_v_name, PyObject *__pyx_v_keys, PyObject *__pyx_v_random_state, PyObject *__pyx_v_callbacks, PyObject *__pyx_v_return_history, PyObject *__pyx_v_verbose, PyObject *__pyx_v_n_jobs, PyObject *__pyx_v_multiple_check_input); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_5start___get__(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self); /* proto */
static int __pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_5start_2__set__(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_5start_4__del__(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_3end___get__(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self); /* proto */
static int __pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_3end_2__set__(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_3end_4__del__(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_11start_index___get__(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self); /* proto */
static int __pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_11start_index_2__set__(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_9end_index___get__(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self); /* proto */
static int __pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_9end_index_2__set__(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_12silent_start___get__(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self); /* proto */
static int __pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_12silent_start_2__set__(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_8discrete___get__(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self); /* proto */
static int __pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_8discrete_2__set__(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_12multivariate___get__(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self); /* proto */
static int __pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_12multivariate_2__set__(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_6keymap___get__(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self); /* proto */
static int __pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_6keymap_2__set__(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_6keymap_4__del__(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self); /* proto */
static int __pyx_array___pyx_pf_15View_dot_MemoryView_5array___cinit__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_shape, Py_ssize_t __pyx_v_itemsize, PyObject *__pyx_v_format, PyObject *__pyx_v_mode, int __pyx_v_allocate_buffer); /* proto */
static int __pyx_array___pyx_pf_15View_dot_MemoryView_5array_2__getbuffer__(struct __pyx_array_obj *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */
static void __pyx_array___pyx_pf_15View_dot_MemoryView_5array_4__dealloc__(struct __pyx_array_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_5array_7memview___get__(struct __pyx_array_obj *__pyx_v_self); /* proto */
static Py_ssize_t __pyx_array___pyx_pf_15View_dot_MemoryView_5array_6__len__(struct __pyx_array_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_array___pyx_pf_15View_dot_MemoryView_5array_8__getattr__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_attr); /* proto */
static PyObject *__pyx_array___pyx_pf_15View_dot_MemoryView_5array_10__getitem__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_item); /* proto */
static int __pyx_array___pyx_pf_15View_dot_MemoryView_5array_12__setitem__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_item, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf___pyx_array___reduce_cython__(CYTHON_UNUSED struct __pyx_array_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_array_2__setstate_cython__(CYTHON_UNUSED struct __pyx_array_obj *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_MemviewEnum___pyx_pf_15View_dot_MemoryView_4Enum___init__(struct __pyx_MemviewEnum_obj *__pyx_v_self, PyObject *__pyx_v_name); /* proto */
static PyObject *__pyx_MemviewEnum___pyx_pf_15View_dot_MemoryView_4Enum_2__repr__(struct __pyx_MemviewEnum_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_MemviewEnum___reduce_cython__(struct __pyx_MemviewEnum_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_MemviewEnum_2__setstate_cython__(struct __pyx_MemviewEnum_obj *__pyx_v_self, PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview___cinit__(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_obj, int __pyx_v_flags, int __pyx_v_dtype_is_object); /* proto */
static void __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_2__dealloc__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_4__getitem__(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index); /* proto */
static int __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_6__setitem__(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index, PyObject *__pyx_v_value); /* proto */
static int __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_8__getbuffer__(struct __pyx_memoryview_obj *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_1T___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_4base___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_5shape___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_7strides___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_10suboffsets___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_4ndim___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_8itemsize___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_6nbytes___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_4size___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static Py_ssize_t __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_10__len__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_12__repr__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_14__str__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
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 */
static PyObject *__pyx_pf___pyx_memoryview_2__setstate_cython__(CYTHON_UNUSED struct __pyx_memoryview_obj *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static void __pyx_memoryviewslice___pyx_pf_15View_dot_MemoryView_16_memoryviewslice___dealloc__(struct __pyx_memoryviewslice_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_16_memoryviewslice_4base___get__(struct __pyx_memoryviewslice_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_memoryviewslice___reduce_cython__(CYTHON_UNUSED struct __pyx_memoryviewslice_obj *__pyx_v_self); /* proto */
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 *                 for i in range(n):
 *                     if self.cython == 1:
 *                         (<Model> distributions[l])._log_probability(sequence+i*dim, e+l*n+i, 1)             # <<<<<<<<<<<<<<
 *                     else:
 *                         with gil:
 */
            ((struct __pyx_vtabstruct_11pomegranate_4base_Model *)((struct __pyx_obj_11pomegranate_4base_Model *)(__pyx_v_distributions[__pyx_v_l]))->__pyx_vtab)->_log_probability(((struct __pyx_obj_11pomegranate_4base_Model *)(__pyx_v_distributions[__pyx_v_l])), (__pyx_v_sequence + (__pyx_v_i * __pyx_v_dim)), ((__pyx_v_e + (__pyx_v_l * __pyx_v_n)) + __pyx_v_i), 1);

            /* "pomegranate/hmm.pyx":1391
 *             for l in range(self.silent_start):
 *                 for i in range(n):
 *                     if self.cython == 1:             # <<<<<<<<<<<<<<
 *                         (<Model> distributions[l])._log_probability(sequence+i*dim, e+l*n+i, 1)
 *                     else:
 */
            goto __pyx_L11;
          }

          /* "pomegranate/hmm.pyx":1394
 *                         (<Model> distributions[l])._log_probability(sequence+i*dim, e+l*n+i, 1)
 *                     else:
 *                         with gil:             # <<<<<<<<<<<<<<
 *                             python_log_probability(self.distributions[l], sequence+i*dim, e+l*n+i, 1)
 * 
 */
          /*else*/ {
            {
                #ifdef WITH_THREAD
                PyGILState_STATE __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
                #endif
                /*try:*/ {

                  /* "pomegranate/hmm.pyx":1395
 *                     else:
 *                         with gil:
 *                             python_log_probability(self.distributions[l], sequence+i*dim, e+l*n+i, 1)             # <<<<<<<<<<<<<<
 * 
 *                     e[l*n + i] += self.state_weights[l]
 */
                  __pyx_t_9 = __Pyx_GetItemInt(((PyObject *)__pyx_v_self->distributions), __pyx_v_l, int, 1, __Pyx_PyInt_From_int, 0, 1, 0); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 1395, __pyx_L15_error)
                  __Pyx_GOTREF(__pyx_t_9);
                  __pyx_t_10 = __pyx_f_11pomegranate_5utils_python_log_probability(__pyx_t_9, (__pyx_v_sequence + (__pyx_v_i * __pyx_v_dim)), ((__pyx_v_e + (__pyx_v_l * __pyx_v_n)) + __pyx_v_i), 1); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 1395, __pyx_L15_error)
                  __Pyx_GOTREF(__pyx_t_10);
                  __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
                  __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
                }

                /* "pomegranate/hmm.pyx":1394
 *                         (<Model> distributions[l])._log_probability(sequence+i*dim, e+l*n+i, 1)
 *                     else:
 *                         with gil:             # <<<<<<<<<<<<<<
 *                             python_log_probability(self.distributions[l], sequence+i*dim, e+l*n+i, 1)
 * 
 */
                /*finally:*/ {
                  /*normal exit:*/{
                    #ifdef WITH_THREAD
                    __Pyx_PyGILState_Release(__pyx_gilstate_save);
                    #endif
                    goto __pyx_L16;
                  }
                  __pyx_L15_error: {
                    #ifdef WITH_THREAD
                    __Pyx_PyGILState_Release(__pyx_gilstate_save);
                    #endif
                    goto __pyx_L4_error;
                  }
                  __pyx_L16:;
                }
            }
          }
          __pyx_L11:;

          /* "pomegranate/hmm.pyx":1397
 *                             python_log_probability(self.distributions[l], sequence+i*dim, e+l*n+i, 1)
 * 
 *                     e[l*n + i] += self.state_weights[l]             # <<<<<<<<<<<<<<
 *         else:
 *             e = emissions
 */
          __pyx_t_11 = ((__pyx_v_l * __pyx_v_n) + __pyx_v_i);
          if (unlikely(!__pyx_v_self->state_weights.memview)) {PyErr_SetString(PyExc_AttributeError,"Memoryview is not initialized");__PYX_ERR(0, 1397, __pyx_L4_error)}
          __pyx_t_12 = __pyx_v_l;
          if (__pyx_t_12 < 0) __pyx_t_12 += __pyx_v_self->state_weights.shape[0];
          (__pyx_v_e[__pyx_t_11]) = ((__pyx_v_e[__pyx_t_11]) + (*((double *) ( /* dim=0 */ (__pyx_v_self->state_weights.data + __pyx_t_12 * __pyx_v_self->state_weights.strides[0]) ))));
        }
      }

      /* "pomegranate/hmm.pyx":1387
 *         # Either fill in a new emissions matrix, or use the one which has
 *         # been provided from a previous call.
 *         if emissions is NULL:             # <<<<<<<<<<<<<<
 *             e = <double*> malloc(n*self.silent_start*sizeof(double))
 *             for l in range(self.silent_start):
 */
      goto __pyx_L6;
    }

    /* "pomegranate/hmm.pyx":1399
 *                     e[l*n + i] += self.state_weights[l]
 *         else:
 *             e = emissions             # <<<<<<<<<<<<<<
 * 
 *         # We must start in the start state, having emitted 0 symbols
 */
    /*else*/ {
      __pyx_v_e = __pyx_v_emissions;
    }
    __pyx_L6:;

    /* "pomegranate/hmm.pyx":1402
 * 
 *         # We must start in the start state, having emitted 0 symbols
 *         for i in range(m):             # <<<<<<<<<<<<<<
 *             f[i] = NEGINF
 *         f[self.start_index] = 0.
 */
    __pyx_t_1 = __pyx_v_m;
    __pyx_t_4 = __pyx_t_1;
    for (__pyx_t_5 = 0; __pyx_t_5 < __pyx_t_4; __pyx_t_5+=1) {
      __pyx_v_i = __pyx_t_5;

      /* "pomegranate/hmm.pyx":1403
 *         # We must start in the start state, having emitted 0 symbols
 *         for i in range(m):
 *             f[i] = NEGINF             # <<<<<<<<<<<<<<
 *         f[self.start_index] = 0.
 * 
 */
      (__pyx_v_f[__pyx_v_i]) = (-Py_HUGE_VAL);
    }

    /* "pomegranate/hmm.pyx":1404
 *         for i in range(m):
 *             f[i] = NEGINF
 *         f[self.start_index] = 0.             # <<<<<<<<<<<<<<
 * 
 *         for l in range(self.silent_start, m):
 */
    (__pyx_v_f[__pyx_v_self->start_index]) = 0.;

    /* "pomegranate/hmm.pyx":1406
 *         f[self.start_index] = 0.
 * 
 *         for l in range(self.silent_start, m):             # <<<<<<<<<<<<<<
 *             # Handle transitions between silent states before the first symbol
 *             # is emitted. No non-silent states have non-zero probability yet, so
 */
    __pyx_t_1 = __pyx_v_m;
    __pyx_t_4 = __pyx_t_1;
    for (__pyx_t_5 = __pyx_v_self->silent_start; __pyx_t_5 < __pyx_t_4; __pyx_t_5+=1) {
      __pyx_v_l = __pyx_t_5;

      /* "pomegranate/hmm.pyx":1410
 *             # is emitted. No non-silent states have non-zero probability yet, so
 *             # we can ignore them.
 *             if l == self.start_index:             # <<<<<<<<<<<<<<
 *                 # Start state log-probability is already right. Don't touch it.
 *                 continue
 */
      __pyx_t_3 = ((__pyx_v_l == __pyx_v_self->start_index) != 0);
      if (__pyx_t_3) {

        /* "pomegranate/hmm.pyx":1412
 *             if l == self.start_index:
 *                 # Start state log-probability is already right. Don't touch it.
 *                 continue             # <<<<<<<<<<<<<<
 * 
 *             # This holds the log total transition probability in from
 */
        goto __pyx_L19_continue;

        /* "pomegranate/hmm.pyx":1410
 *             # is emitted. No non-silent states have non-zero probability yet, so
 *             # we can ignore them.
 *             if l == self.start_index:             # <<<<<<<<<<<<<<
 *                 # Start state log-probability is already right. Don't touch it.
 *                 continue
 */
      }

      /* "pomegranate/hmm.pyx":1417
 *             # all current-step silent states that can have transitions into
 *             # this state.
 *             log_probability = NEGINF             # <<<<<<<<<<<<<<
 *             for k in range(in_edges[l], in_edges[l+1]):
 *                 ki = self.in_transitions[k]
 */
      __pyx_v_log_probability = (-Py_HUGE_VAL);

      /* "pomegranate/hmm.pyx":1418
 *             # this state.
 *             log_probability = NEGINF
 *             for k in range(in_edges[l], in_edges[l+1]):             # <<<<<<<<<<<<<<
 *                 ki = self.in_transitions[k]
 *                 if ki < self.silent_start or ki >= l:
 */
      __pyx_t_6 = (__pyx_v_in_edges[(__pyx_v_l + 1)]);
      __pyx_t_7 = __pyx_t_6;
      for (__pyx_t_8 = (__pyx_v_in_edges[__pyx_v_l]); __pyx_t_8 < __pyx_t_7; __pyx_t_8+=1) {
        __pyx_v_k = __pyx_t_8;

        /* "pomegranate/hmm.pyx":1419
 *             log_probability = NEGINF
 *             for k in range(in_edges[l], in_edges[l+1]):
 *                 ki = self.in_transitions[k]             # <<<<<<<<<<<<<<
 *                 if ki < self.silent_start or ki >= l:
 *                     continue
 */
        __pyx_v_ki = (__pyx_v_self->in_transitions[__pyx_v_k]);

        /* "pomegranate/hmm.pyx":1420
 *             for k in range(in_edges[l], in_edges[l+1]):
 *                 ki = self.in_transitions[k]
 *                 if ki < self.silent_start or ki >= l:             # <<<<<<<<<<<<<<
 *                     continue
 * 
 */
        __pyx_t_13 = ((__pyx_v_ki < __pyx_v_self->silent_start) != 0);
        if (!__pyx_t_13) {
        } else {
          __pyx_t_3 = __pyx_t_13;
          goto __pyx_L25_bool_binop_done;
        }
        __pyx_t_13 = ((__pyx_v_ki >= __pyx_v_l) != 0);
        __pyx_t_3 = __pyx_t_13;
        __pyx_L25_bool_binop_done:;
        if (__pyx_t_3) {

          /* "pomegranate/hmm.pyx":1421
 *                 ki = self.in_transitions[k]
 *                 if ki < self.silent_start or ki >= l:
 *                     continue             # <<<<<<<<<<<<<<
 * 
 *                 # For each current-step preceding silent state k
 */
          goto __pyx_L22_continue;

          /* "pomegranate/hmm.pyx":1420
 *             for k in range(in_edges[l], in_edges[l+1]):
 *                 ki = self.in_transitions[k]
 *                 if ki < self.silent_start or ki >= l:             # <<<<<<<<<<<<<<
 *                     continue
 * 
 */
        }

        /* "pomegranate/hmm.pyx":1424
 * 
 *                 # For each current-step preceding silent state k
 *                 log_probability = pair_lse(log_probability,             # <<<<<<<<<<<<<<
 *                     f[ki] + self.in_transition_log_probabilities[k])
 * 
 */
        __pyx_v_log_probability = __pyx_f_11pomegranate_5utils_pair_lse(__pyx_v_log_probability, ((__pyx_v_f[__pyx_v_ki]) + (__pyx_v_self->in_transition_log_probabilities[__pyx_v_k])));
        __pyx_L22_continue:;
      }

      /* "pomegranate/hmm.pyx":1428
 * 
 *             # Update the table entry
 *             f[l] = log_probability             # <<<<<<<<<<<<<<
 * 
 *         for i in range(n):
 */
      (__pyx_v_f[__pyx_v_l]) = __pyx_v_log_probability;
      __pyx_L19_continue:;
    }

    /* "pomegranate/hmm.pyx":1430
 *             f[l] = log_probability
 * 
 *         for i in range(n):             # <<<<<<<<<<<<<<
 *             for l in range(self.silent_start):
 *                 # Do the recurrence for non-silent states l
 */
    __pyx_t_1 = __pyx_v_n;
    __pyx_t_4 = __pyx_t_1;
    for (__pyx_t_5 = 0; __pyx_t_5 < __pyx_t_4; __pyx_t_5+=1) {
      __pyx_v_i = __pyx_t_5;

      /* "pomegranate/hmm.pyx":1431
 * 
 *         for i in range(n):
 *             for l in range(self.silent_start):             # <<<<<<<<<<<<<<
 *                 # Do the recurrence for non-silent states l
 *                 # This holds the log total transition probability in from
 */
      __pyx_t_6 = __pyx_v_self->silent_start;
      __pyx_t_7 = __pyx_t_6;
      for (__pyx_t_8 = 0; __pyx_t_8 < __pyx_t_7; __pyx_t_8+=1) {
        __pyx_v_l = __pyx_t_8;

        /* "pomegranate/hmm.pyx":1436
 *                 # all previous states
 * 
 *                 log_probability = NEGINF             # <<<<<<<<<<<<<<
 *                 for k in range(in_edges[l], in_edges[l+1]):
 *                     ki = self.in_transitions[k]
 */
        __pyx_v_log_probability = (-Py_HUGE_VAL);

        /* "pomegranate/hmm.pyx":1437
 * 
 *                 log_probability = NEGINF
 *                 for k in range(in_edges[l], in_edges[l+1]):             # <<<<<<<<<<<<<<
 *                     ki = self.in_transitions[k]
 * 
 */
        __pyx_t_11 = (__pyx_v_in_edges[(__pyx_v_l + 1)]);
        __pyx_t_14 = __pyx_t_11;
        for (__pyx_t_15 = (__pyx_v_in_edges[__pyx_v_l]); __pyx_t_15 < __pyx_t_14; __pyx_t_15+=1) {
          __pyx_v_k = __pyx_t_15;

          /* "pomegranate/hmm.pyx":1438
 *                 log_probability = NEGINF
 *                 for k in range(in_edges[l], in_edges[l+1]):
 *                     ki = self.in_transitions[k]             # <<<<<<<<<<<<<<
 * 
 *                     # For each previous state k
 */
          __pyx_v_ki = (__pyx_v_self->in_transitions[__pyx_v_k]);

          /* "pomegranate/hmm.pyx":1441
 * 
 *                     # For each previous state k
 *                     log_probability = pair_lse(log_probability,             # <<<<<<<<<<<<<<
 *                         f[i*m + ki] + self.in_transition_log_probabilities[k])
 * 
 */
          __pyx_v_log_probability = __pyx_f_11pomegranate_5utils_pair_lse(__pyx_v_log_probability, ((__pyx_v_f[((__pyx_v_i * __pyx_v_m) + __pyx_v_ki)]) + (__pyx_v_self->in_transition_log_probabilities[__pyx_v_k])));
        }

        /* "pomegranate/hmm.pyx":1446
 *                 # Now set the table entry for log probability of emitting
 *                 # index+1 characters and ending in state l
 *                 f[(i+1)*m + l] = log_probability + e[i + l*n]             # <<<<<<<<<<<<<<
 * 
 *             for l in range(self.silent_start, m):
 */
        (__pyx_v_f[(((__pyx_v_i + 1) * __pyx_v_m) + __pyx_v_l)]) = (__pyx_v_log_probability + (__pyx_v_e[(__pyx_v_i + (__pyx_v_l * __pyx_v_n))]));
      }

      /* "pomegranate/hmm.pyx":1448
 *                 f[(i+1)*m + l] = log_probability + e[i + l*n]
 * 
 *             for l in range(self.silent_start, m):             # <<<<<<<<<<<<<<
 *                 # Now do the first pass over the silent states
 *                 # This holds the log total transition probability in from
 */
      __pyx_t_6 = __pyx_v_m;
      __pyx_t_7 = __pyx_t_6;
      for (__pyx_t_8 = __pyx_v_self->silent_start; __pyx_t_8 < __pyx_t_7; __pyx_t_8+=1) {
        __pyx_v_l = __pyx_t_8;

        /* "pomegranate/hmm.pyx":1452
 *                 # This holds the log total transition probability in from
 *                 # all current-step non-silent states
 *                 log_probability = NEGINF             # <<<<<<<<<<<<<<
 *                 for k in range(in_edges[l], in_edges[l+1]):
 *                     ki = self.in_transitions[k]
 */
        __pyx_v_log_probability = (-Py_HUGE_VAL);

        /* "pomegranate/hmm.pyx":1453
 *                 # all current-step non-silent states
 *                 log_probability = NEGINF
 *                 for k in range(in_edges[l], in_edges[l+1]):             # <<<<<<<<<<<<<<
 *                     ki = self.in_transitions[k]
 *                     if ki >= self.silent_start:
 */
        __pyx_t_11 = (__pyx_v_in_edges[(__pyx_v_l + 1)]);
        __pyx_t_14 = __pyx_t_11;
        for (__pyx_t_15 = (__pyx_v_in_edges[__pyx_v_l]); __pyx_t_15 < __pyx_t_14; __pyx_t_15+=1) {
          __pyx_v_k = __pyx_t_15;

          /* "pomegranate/hmm.pyx":1454
 *                 log_probability = NEGINF
 *                 for k in range(in_edges[l], in_edges[l+1]):
 *                     ki = self.in_transitions[k]             # <<<<<<<<<<<<<<
 *                     if ki >= self.silent_start:
 *                         continue
 */
          __pyx_v_ki = (__pyx_v_self->in_transitions[__pyx_v_k]);

          /* "pomegranate/hmm.pyx":1455
 *                 for k in range(in_edges[l], in_edges[l+1]):
 *                     ki = self.in_transitions[k]
 *                     if ki >= self.silent_start:             # <<<<<<<<<<<<<<
 *                         continue
 * 
 */
          __pyx_t_3 = ((__pyx_v_ki >= __pyx_v_self->silent_start) != 0);
          if (__pyx_t_3) {

            /* "pomegranate/hmm.pyx":1456
 *                     ki = self.in_transitions[k]
 *                     if ki >= self.silent_start:
 *                         continue             # <<<<<<<<<<<<<<
 * 
 *                     # For each current-step non-silent state k
 */
            goto __pyx_L35_continue;

            /* "pomegranate/hmm.pyx":1455
 *                 for k in range(in_edges[l], in_edges[l+1]):
 *                     ki = self.in_transitions[k]
 *                     if ki >= self.silent_start:             # <<<<<<<<<<<<<<
 *                         continue
 * 
 */
          }

          /* "pomegranate/hmm.pyx":1459
 * 
 *                     # For each current-step non-silent state k
 *                     log_probability = pair_lse(log_probability,             # <<<<<<<<<<<<<<
 *                         f[(i+1)*m + ki] + self.in_transition_log_probabilities[k])
 * 
 */
          __pyx_v_log_probability = __pyx_f_11pomegranate_5utils_pair_lse(__pyx_v_log_probability, ((__pyx_v_f[(((__pyx_v_i + 1) * __pyx_v_m) + __pyx_v_ki)]) + (__pyx_v_self->in_transition_log_probabilities[__pyx_v_k])));
          __pyx_L35_continue:;
        }

        /* "pomegranate/hmm.pyx":1463
 * 
 *                 # Set the table entry to the partial result.
 *                 f[(i+1)*m + l] = log_probability             # <<<<<<<<<<<<<<
 * 
 *             for l in range(self.silent_start, m):
 */
        (__pyx_v_f[(((__pyx_v_i + 1) * __pyx_v_m) + __pyx_v_l)]) = __pyx_v_log_probability;
      }

      /* "pomegranate/hmm.pyx":1465
 *                 f[(i+1)*m + l] = log_probability
 * 
 *             for l in range(self.silent_start, m):             # <<<<<<<<<<<<<<
 *                 # Now the second pass through silent states, where we account
 *                 # for transitions between silent states.
 */
      __pyx_t_6 = __pyx_v_m;
      __pyx_t_7 = __pyx_t_6;
      for (__pyx_t_8 = __pyx_v_self->silent_start; __pyx_t_8 < __pyx_t_7; __pyx_t_8+=1) {
        __pyx_v_l = __pyx_t_8;

        /* "pomegranate/hmm.pyx":1472
 *                 # all current-step silent states that can have transitions into
 *                 # this state.
 *                 log_probability = NEGINF             # <<<<<<<<<<<<<<
 *                 for k in range(in_edges[l], in_edges[l+1]):
 *                     ki = self.in_transitions[k]
 */
        __pyx_v_log_probability = (-Py_HUGE_VAL);

        /* "pomegranate/hmm.pyx":1473
 *                 # this state.
 *                 log_probability = NEGINF
 *                 for k in range(in_edges[l], in_edges[l+1]):             # <<<<<<<<<<<<<<
 *                     ki = self.in_transitions[k]
 *                     if ki < self.silent_start or ki >= l:
 */
        __pyx_t_11 = (__pyx_v_in_edges[(__pyx_v_l + 1)]);
        __pyx_t_14 = __pyx_t_11;
        for (__pyx_t_15 = (__pyx_v_in_edges[__pyx_v_l]); __pyx_t_15 < __pyx_t_14; __pyx_t_15+=1) {
          __pyx_v_k = __pyx_t_15;

          /* "pomegranate/hmm.pyx":1474
 *                 log_probability = NEGINF
 *                 for k in range(in_edges[l], in_edges[l+1]):
 *                     ki = self.in_transitions[k]             # <<<<<<<<<<<<<<
 *                     if ki < self.silent_start or ki >= l:
 *                         continue
 */
          __pyx_v_ki = (__pyx_v_self->in_transitions[__pyx_v_k]);

          /* "pomegranate/hmm.pyx":1475
 *                 for k in range(in_edges[l], in_edges[l+1]):
 *                     ki = self.in_transitions[k]
 *                     if ki < self.silent_start or ki >= l:             # <<<<<<<<<<<<<<
 *                         continue
 *                     # For each current-step preceding silent state k
 */
          __pyx_t_13 = ((__pyx_v_ki < __pyx_v_self->silent_start) != 0);
          if (!__pyx_t_13) {
          } else {
            __pyx_t_3 = __pyx_t_13;
            goto __pyx_L43_bool_binop_done;
          }
          __pyx_t_13 = ((__pyx_v_ki >= __pyx_v_l) != 0);
          __pyx_t_3 = __pyx_t_13;
          __pyx_L43_bool_binop_done:;
          if (__pyx_t_3) {

            /* "pomegranate/hmm.pyx":1476
 *                     ki = self.in_transitions[k]
 *                     if ki < self.silent_start or ki >= l:
 *                         continue             # <<<<<<<<<<<<<<
 *                     # For each current-step preceding silent state k
 *                     log_probability = pair_lse(log_probability,
 */
            goto __pyx_L40_continue;

            /* "pomegranate/hmm.pyx":1475
 *                 for k in range(in_edges[l], in_edges[l+1]):
 *                     ki = self.in_transitions[k]
 *                     if ki < self.silent_start or ki >= l:             # <<<<<<<<<<<<<<
 *                         continue
 *                     # For each current-step preceding silent state k
 */
          }

          /* "pomegranate/hmm.pyx":1478
 *                         continue
 *                     # For each current-step preceding silent state k
 *                     log_probability = pair_lse(log_probability,             # <<<<<<<<<<<<<<
 *                         f[(i+1)*m + ki] + self.in_transition_log_probabilities[k])
 * 
 */
          __pyx_v_log_probability = __pyx_f_11pomegranate_5utils_pair_lse(__pyx_v_log_probability, ((__pyx_v_f[(((__pyx_v_i + 1) * __pyx_v_m) + __pyx_v_ki)]) + (__pyx_v_self->in_transition_log_probabilities[__pyx_v_k])));
          __pyx_L40_continue:;
        }

        /* "pomegranate/hmm.pyx":1482
 * 
 *                 # Add the previous partial result and update the table entry
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                  __pyx_t_10 = __pyx_f_11pomegranate_5utils_python_log_probability(__pyx_t_9, (__pyx_v_sequence + (__pyx_v_i * __pyx_v_dim)), ((__pyx_v_e + (__pyx_v_l * __pyx_v_n)) + __pyx_v_i), 1); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 1566, __pyx_L15_error)
                  __Pyx_GOTREF(__pyx_t_10);
                  __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
                  __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
                }

                /* "pomegranate/hmm.pyx":1565
 *                         (<Model> distributions[l])._log_probability(sequence+i*dim, e+l*n+i, 1)
 *                     else:
 *                         with gil:             # <<<<<<<<<<<<<<
 *                             python_log_probability(self.distributions[l], sequence+i*dim, e+l*n+i, 1)
 * 
 */
                /*finally:*/ {
                  /*normal exit:*/{
                    #ifdef WITH_THREAD
                    __Pyx_PyGILState_Release(__pyx_gilstate_save);
                    #endif
                    goto __pyx_L16;
                  }
                  __pyx_L15_error: {
                    #ifdef WITH_THREAD
                    __Pyx_PyGILState_Release(__pyx_gilstate_save);
                    #endif
                    goto __pyx_L4_error;
                  }
                  __pyx_L16:;
                }
            }
          }
          __pyx_L11:;

          /* "pomegranate/hmm.pyx":1568
 *                             python_log_probability(self.distributions[l], sequence+i*dim, e+l*n+i, 1)
 * 
 *                     e[l*n + i] += self.state_weights[l]             # <<<<<<<<<<<<<<
 *         else:
 *             e = emissions
 */
          __pyx_t_11 = ((__pyx_v_l * __pyx_v_n) + __pyx_v_i);
          if (unlikely(!__pyx_v_self->state_weights.memview)) {PyErr_SetString(PyExc_AttributeError,"Memoryview is not initialized");__PYX_ERR(0, 1568, __pyx_L4_error)}
          __pyx_t_12 = __pyx_v_l;
          if (__pyx_t_12 < 0) __pyx_t_12 += __pyx_v_self->state_weights.shape[0];
          (__pyx_v_e[__pyx_t_11]) = ((__pyx_v_e[__pyx_t_11]) + (*((double *) ( /* dim=0 */ (__pyx_v_self->state_weights.data + __pyx_t_12 * __pyx_v_self->state_weights.strides[0]) ))));
        }
      }

      /* "pomegranate/hmm.pyx":1558
 *         # Either fill in a new emissions matrix, or use the one which has
 *         # been provided from a previous call.
 *         if emissions is NULL:             # <<<<<<<<<<<<<<
 *             e = <double*> malloc(n*self.silent_start*sizeof(double))
 *             for l in range(self.silent_start):
 */
      goto __pyx_L6;
    }

    /* "pomegranate/hmm.pyx":1570
 *                     e[l*n + i] += self.state_weights[l]
 *         else:
 *             e = emissions             # <<<<<<<<<<<<<<
 * 
 *         # We must end in the end state, having emitted len(sequence) symbols
 */
    /*else*/ {
      __pyx_v_e = __pyx_v_emissions;
    }
    __pyx_L6:;

    /* "pomegranate/hmm.pyx":1573
 * 
 *         # We must end in the end state, having emitted len(sequence) symbols
 *         if self.finite == 1:             # <<<<<<<<<<<<<<
 *             for i in range(m):
 *                 b[n*m + i] = NEGINF
 */
    __pyx_t_3 = ((__pyx_v_self->finite == 1) != 0);
    if (__pyx_t_3) {

      /* "pomegranate/hmm.pyx":1574
 *         # We must end in the end state, having emitted len(sequence) symbols
 *         if self.finite == 1:
 *             for i in range(m):             # <<<<<<<<<<<<<<
 *                 b[n*m + i] = NEGINF
 *             b[n*m + self.end_index] = 0
 */
      __pyx_t_1 = __pyx_v_m;
      __pyx_t_4 = __pyx_t_1;
      for (__pyx_t_5 = 0; __pyx_t_5 < __pyx_t_4; __pyx_t_5+=1) {
        __pyx_v_i = __pyx_t_5;

        /* "pomegranate/hmm.pyx":1575
 *         if self.finite == 1:
 *             for i in range(m):
 *                 b[n*m + i] = NEGINF             # <<<<<<<<<<<<<<
 *             b[n*m + self.end_index] = 0
 *         else:
 */
        (__pyx_v_b[((__pyx_v_n * __pyx_v_m) + __pyx_v_i)]) = (-Py_HUGE_VAL);
      }

      /* "pomegranate/hmm.pyx":1576
 *             for i in range(m):
 *                 b[n*m + i] = NEGINF
 *             b[n*m + self.end_index] = 0             # <<<<<<<<<<<<<<
 *         else:
 *             for i in range(self.silent_start):
 */
      (__pyx_v_b[((__pyx_v_n * __pyx_v_m) + __pyx_v_self->end_index)]) = 0.0;

      /* "pomegranate/hmm.pyx":1573
 * 
 *         # We must end in the end state, having emitted len(sequence) symbols
 *         if self.finite == 1:             # <<<<<<<<<<<<<<
 *             for i in range(m):
 *                 b[n*m + i] = NEGINF
 */
      goto __pyx_L17;
    }

    /* "pomegranate/hmm.pyx":1578
 *             b[n*m + self.end_index] = 0
 *         else:
 *             for i in range(self.silent_start):             # <<<<<<<<<<<<<<
 *                 b[n*m + i] = 0.
 *             for i in range(self.silent_start, m):
 */
    /*else*/ {
      __pyx_t_1 = __pyx_v_self->silent_start;
      __pyx_t_4 = __pyx_t_1;
      for (__pyx_t_5 = 0; __pyx_t_5 < __pyx_t_4; __pyx_t_5+=1) {
        __pyx_v_i = __pyx_t_5;

        /* "pomegranate/hmm.pyx":1579
 *         else:
 *             for i in range(self.silent_start):
 *                 b[n*m + i] = 0.             # <<<<<<<<<<<<<<
 *             for i in range(self.silent_start, m):
 *                 b[n*m + i] = NEGINF
 */
        (__pyx_v_b[((__pyx_v_n * __pyx_v_m) + __pyx_v_i)]) = 0.;
      }

      /* "pomegranate/hmm.pyx":1580
 *             for i in range(self.silent_start):
 *                 b[n*m + i] = 0.
 *             for i in range(self.silent_start, m):             # <<<<<<<<<<<<<<
 *                 b[n*m + i] = NEGINF
 * 
 */
      __pyx_t_1 = __pyx_v_m;
      __pyx_t_4 = __pyx_t_1;
      for (__pyx_t_5 = __pyx_v_self->silent_start; __pyx_t_5 < __pyx_t_4; __pyx_t_5+=1) {
        __pyx_v_i = __pyx_t_5;

        /* "pomegranate/hmm.pyx":1581
 *                 b[n*m + i] = 0.
 *             for i in range(self.silent_start, m):
 *                 b[n*m + i] = NEGINF             # <<<<<<<<<<<<<<
 * 
 *         for kr in range(m-self.silent_start):
 */
        (__pyx_v_b[((__pyx_v_n * __pyx_v_m) + __pyx_v_i)]) = (-Py_HUGE_VAL);
      }
    }
    __pyx_L17:;

    /* "pomegranate/hmm.pyx":1583
 *                 b[n*m + i] = NEGINF
 * 
 *         for kr in range(m-self.silent_start):             # <<<<<<<<<<<<<<
 *             if self.finite == 0:
 *                 break
 */
    __pyx_t_1 = (__pyx_v_m - __pyx_v_self->silent_start);
    __pyx_t_4 = __pyx_t_1;
    for (__pyx_t_5 = 0; __pyx_t_5 < __pyx_t_4; __pyx_t_5+=1) {
      __pyx_v_kr = __pyx_t_5;

      /* "pomegranate/hmm.pyx":1584
 * 
 *         for kr in range(m-self.silent_start):
 *             if self.finite == 0:             # <<<<<<<<<<<<<<
 *                 break
 *             # Cython arrays cannot go backwards, so modify the loop to account
 */
      __pyx_t_3 = ((__pyx_v_self->finite == 0) != 0);
      if (__pyx_t_3) {

        /* "pomegranate/hmm.pyx":1585
 *         for kr in range(m-self.silent_start):
 *             if self.finite == 0:
 *                 break             # <<<<<<<<<<<<<<
 *             # Cython arrays cannot go backwards, so modify the loop to account
 *             # for this.
 */
        goto __pyx_L25_break;

        /* "pomegranate/hmm.pyx":1584
 * 
 *         for kr in range(m-self.silent_start):
 *             if self.finite == 0:             # <<<<<<<<<<<<<<
 *                 break
 *             # Cython arrays cannot go backwards, so modify the loop to account
 */
      }

      /* "pomegranate/hmm.pyx":1588
 *             # Cython arrays cannot go backwards, so modify the loop to account
 *             # for this.
 *             k = m - kr - 1             # <<<<<<<<<<<<<<
 * 
 *             # Do the silent states' dependencies on each other.
 */
      __pyx_v_k = ((__pyx_v_m - __pyx_v_kr) - 1);

      /* "pomegranate/hmm.pyx":1594
 *             # possibly transition to is already done.
 * 
 *             if k == self.end_index:             # <<<<<<<<<<<<<<
 *                 # We already set the log-probability for this, so skip it
 *                 continue
 */
      __pyx_t_3 = ((__pyx_v_k == __pyx_v_self->end_index) != 0);
      if (__pyx_t_3) {

        /* "pomegranate/hmm.pyx":1596
 *             if k == self.end_index:
 *                 # We already set the log-probability for this, so skip it
 *                 continue             # <<<<<<<<<<<<<<
 * 
 *             # This holds the log total probability that we go to
 */
        goto __pyx_L24_continue;

        /* "pomegranate/hmm.pyx":1594
 *             # possibly transition to is already done.
 * 
 *             if k == self.end_index:             # <<<<<<<<<<<<<<
 *                 # We already set the log-probability for this, so skip it
 *                 continue
 */
      }

      /* "pomegranate/hmm.pyx":1601
 *             # current-step silent states and then continue from there to
 *             # finish the sequence.
 *             log_probability = NEGINF             # <<<<<<<<<<<<<<
 *             for l in range(out_edges[k], out_edges[k+1]):
 *                 li = self.out_transitions[l]
 */
      __pyx_v_log_probability = (-Py_HUGE_VAL);

      /* "pomegranate/hmm.pyx":1602
 *             # finish the sequence.
 *             log_probability = NEGINF
 *             for l in range(out_edges[k], out_edges[k+1]):             # <<<<<<<<<<<<<<
 *                 li = self.out_transitions[l]
 *                 if li < k+1:
 */
      __pyx_t_6 = (__pyx_v_out_edges[(__pyx_v_k + 1)]);
      __pyx_t_7 = __pyx_t_6;
      for (__pyx_t_8 = (__pyx_v_out_edges[__pyx_v_k]); __pyx_t_8 < __pyx_t_7; __pyx_t_8+=1) {
        __pyx_v_l = __pyx_t_8;

        /* "pomegranate/hmm.pyx":1603
 *             log_probability = NEGINF
 *             for l in range(out_edges[k], out_edges[k+1]):
 *                 li = self.out_transitions[l]             # <<<<<<<<<<<<<<
 *                 if li < k+1:
 *                     continue
 */
        __pyx_v_li = (__pyx_v_self->out_transitions[__pyx_v_l]);

        /* "pomegranate/hmm.pyx":1604
 *             for l in range(out_edges[k], out_edges[k+1]):
 *                 li = self.out_transitions[l]
 *                 if li < k+1:             # <<<<<<<<<<<<<<
 *                     continue
 * 
 */
        __pyx_t_3 = ((__pyx_v_li < (__pyx_v_k + 1)) != 0);
        if (__pyx_t_3) {

          /* "pomegranate/hmm.pyx":1605
 *                 li = self.out_transitions[l]
 *                 if li < k+1:
 *                     continue             # <<<<<<<<<<<<<<
 * 
 *                 # For each possible current-step silent state we can go to,
 */
          goto __pyx_L28_continue;

          /* "pomegranate/hmm.pyx":1604
 *             for l in range(out_edges[k], out_edges[k+1]):
 *                 li = self.out_transitions[l]
 *                 if li < k+1:             # <<<<<<<<<<<<<<
 *                     continue
 * 
 */
        }

        /* "pomegranate/hmm.pyx":1609
 *                 # For each possible current-step silent state we can go to,
 *                 # take into account just transition probability
 *                 log_probability = pair_lse(log_probability,             # <<<<<<<<<<<<<<
 *                     b[n*m + li] + self.out_transition_log_probabilities[l])
 * 
 */
        __pyx_v_log_probability = __pyx_f_11pomegranate_5utils_pair_lse(__pyx_v_log_probability, ((__pyx_v_b[((__pyx_v_n * __pyx_v_m) + __pyx_v_li)]) + (__pyx_v_self->out_transition_log_probabilities[__pyx_v_l])));
        __pyx_L28_continue:;
      }

      /* "pomegranate/hmm.pyx":1614
 *             # Now this is the probability of reaching the end state given we are
 *             # in this silent state.
 *             b[n*m + k] = log_probability             # <<<<<<<<<<<<<<
 * 
 *         for k in range(self.silent_start):
 */
      (__pyx_v_b[((__pyx_v_n * __pyx_v_m) + __pyx_v_k)]) = __pyx_v_log_probability;
      __pyx_L24_continue:;
    }
    __pyx_L25_break:;

    /* "pomegranate/hmm.pyx":1616
 *             b[n*m + k] = log_probability
 * 
 *         for k in range(self.silent_start):             # <<<<<<<<<<<<<<
 *             if self.finite == 0:
 *                 break
 */
    __pyx_t_1 = __pyx_v_self->silent_start;
    __pyx_t_4 = __pyx_t_1;
    for (__pyx_t_5 = 0; __pyx_t_5 < __pyx_t_4; __pyx_t_5+=1) {
      __pyx_v_k = __pyx_t_5;

      /* "pomegranate/hmm.pyx":1617
 * 
 *         for k in range(self.silent_start):
 *             if self.finite == 0:             # <<<<<<<<<<<<<<
 *                 break
 *             # Do the non-silent states in the last step, which depend on
 */
      __pyx_t_3 = ((__pyx_v_self->finite == 0) != 0);
      if (__pyx_t_3) {

        /* "pomegranate/hmm.pyx":1618
 *         for k in range(self.silent_start):
 *             if self.finite == 0:
 *                 break             # <<<<<<<<<<<<<<
 *             # Do the non-silent states in the last step, which depend on
 *             # current-step silent states.
 */
        goto __pyx_L32_break;

        /* "pomegranate/hmm.pyx":1617
 * 
 *         for k in range(self.silent_start):
 *             if self.finite == 0:             # <<<<<<<<<<<<<<
 *                 break
 *             # Do the non-silent states in the last step, which depend on
 */
      }

      /* "pomegranate/hmm.pyx":1624
 *             # This holds the total accumulated log probability of going
 *             # to such states and continuing from there to the end.
 *             log_probability = NEGINF             # <<<<<<<<<<<<<<
 *             for l in range(out_edges[k], out_edges[k+1]):
 *                 li = self.out_transitions[l]
 */
      __pyx_v_log_probability = (-Py_HUGE_VAL);

      /* "pomegranate/hmm.pyx":1625
 *             # to such states and continuing from there to the end.
 *             log_probability = NEGINF
 *             for l in range(out_edges[k], out_edges[k+1]):             # <<<<<<<<<<<<<<
 *                 li = self.out_transitions[l]
 *                 if li < self.silent_start:
 */
      __pyx_t_6 = (__pyx_v_out_edges[(__pyx_v_k + 1)]);
      __pyx_t_7 = __pyx_t_6;
      for (__pyx_t_8 = (__pyx_v_out_edges[__pyx_v_k]); __pyx_t_8 < __pyx_t_7; __pyx_t_8+=1) {
        __pyx_v_l = __pyx_t_8;

        /* "pomegranate/hmm.pyx":1626
 *             log_probability = NEGINF
 *             for l in range(out_edges[k], out_edges[k+1]):
 *                 li = self.out_transitions[l]             # <<<<<<<<<<<<<<
 *                 if li < self.silent_start:
 *                     continue
 */
        __pyx_v_li = (__pyx_v_self->out_transitions[__pyx_v_l]);

        /* "pomegranate/hmm.pyx":1627
 *             for l in range(out_edges[k], out_edges[k+1]):
 *                 li = self.out_transitions[l]
 *                 if li < self.silent_start:             # <<<<<<<<<<<<<<
 *                     continue
 * 
 */
        __pyx_t_3 = ((__pyx_v_li < __pyx_v_self->silent_start) != 0);
        if (__pyx_t_3) {

          /* "pomegranate/hmm.pyx":1628
 *                 li = self.out_transitions[l]
 *                 if li < self.silent_start:
 *                     continue             # <<<<<<<<<<<<<<
 * 
 *                 # For each current-step silent state, add in the probability
 */
          goto __pyx_L34_continue;

          /* "pomegranate/hmm.pyx":1627
 *             for l in range(out_edges[k], out_edges[k+1]):
 *                 li = self.out_transitions[l]
 *                 if li < self.silent_start:             # <<<<<<<<<<<<<<
 *                     continue
 * 
 */
        }

        /* "pomegranate/hmm.pyx":1633
 *                 # of going from here to there and then continuing on to the
 *                 # end of the sequence.
 *                 log_probability = pair_lse(log_probability,             # <<<<<<<<<<<<<<
 *                     b[n*m + li] + self.out_transition_log_probabilities[l])
 * 
 */
        __pyx_v_log_probability = __pyx_f_11pomegranate_5utils_pair_lse(__pyx_v_log_probability, ((__pyx_v_b[((__pyx_v_n * __pyx_v_m) + __pyx_v_li)]) + (__pyx_v_self->out_transition_log_probabilities[__pyx_v_l])));
        __pyx_L34_continue:;
      }

      /* "pomegranate/hmm.pyx":1638
 *             # Now we have summed the probabilities of all the ways we can
 *             # get from here to the end, so we can fill in the table entry.
 *             b[n*m + k] = log_probability             # <<<<<<<<<<<<<<
 * 
 *         # Now that we're done with the base case, move on to the recurrence
 */
      (__pyx_v_b[((__pyx_v_n * __pyx_v_m) + __pyx_v_k)]) = __pyx_v_log_probability;
    }
    __pyx_L32_break:;

    /* "pomegranate/hmm.pyx":1641
 * 
 *         # Now that we're done with the base case, move on to the recurrence
 *         for ir in range(n):             # <<<<<<<<<<<<<<
 *             #if self.finite == 0 and ir == 0:
 *             #   continue
 */
    __pyx_t_1 = __pyx_v_n;
    __pyx_t_4 = __pyx_t_1;
    for (__pyx_t_5 = 0; __pyx_t_5 < __pyx_t_4; __pyx_t_5+=1) {
      __pyx_v_ir = __pyx_t_5;

      /* "pomegranate/hmm.pyx":1646
 *             # Cython ranges cannot go backwards properly, redo to handle
 *             # it properly
 *             i = n - ir - 1             # <<<<<<<<<<<<<<
 *             for kr in range(m-self.silent_start):
 *                 k = m - kr - 1
 */
      __pyx_v_i = ((__pyx_v_n - __pyx_v_ir) - 1);

      /* "pomegranate/hmm.pyx":1647
 *             # it properly
 *             i = n - ir - 1
 *             for kr in range(m-self.silent_start):             # <<<<<<<<<<<<<<
 *                 k = m - kr - 1
 * 
 */
      __pyx_t_6 = (__pyx_v_m - __pyx_v_self->silent_start);
      __pyx_t_7 = __pyx_t_6;
      for (__pyx_t_8 = 0; __pyx_t_8 < __pyx_t_7; __pyx_t_8+=1) {
        __pyx_v_kr = __pyx_t_8;

        /* "pomegranate/hmm.pyx":1648
 *             i = n - ir - 1
 *             for kr in range(m-self.silent_start):
 *                 k = m - kr - 1             # <<<<<<<<<<<<<<
 * 
 *                 # Do the silent states' dependency on subsequent non-silent
 */
        __pyx_v_k = ((__pyx_v_m - __pyx_v_kr) - 1);

        /* "pomegranate/hmm.pyx":1656
 *                 # subsequent state that emits the right thing, and then continue
 *                 # from there to finish the sequence.
 *                 log_probability = NEGINF             # <<<<<<<<<<<<<<
 *                 for l in range(out_edges[k], out_edges[k+1]):
 *                     li = self.out_transitions[l]
 */
        __pyx_v_log_probability = (-Py_HUGE_VAL);

        /* "pomegranate/hmm.pyx":1657
 *                 # from there to finish the sequence.
 *                 log_probability = NEGINF
 *                 for l in range(out_edges[k], out_edges[k+1]):             # <<<<<<<<<<<<<<
 *                     li = self.out_transitions[l]
 *                     if li >= self.silent_start:
 */
        __pyx_t_11 = (__pyx_v_out_edges[(__pyx_v_k + 1)]);
        __pyx_t_13 = __pyx_t_11;
        for (__pyx_t_14 = (__pyx_v_out_edges[__pyx_v_k]); __pyx_t_14 < __pyx_t_13; __pyx_t_14+=1) {
          __pyx_v_l = __pyx_t_14;

          /* "pomegranate/hmm.pyx":1658
 *                 log_probability = NEGINF
 *                 for l in range(out_edges[k], out_edges[k+1]):
 *                     li = self.out_transitions[l]             # <<<<<<<<<<<<<<
 *                     if li >= self.silent_start:
 *                         continue
 */
          __pyx_v_li = (__pyx_v_self->out_transitions[__pyx_v_l]);

          /* "pomegranate/hmm.pyx":1659
 *                 for l in range(out_edges[k], out_edges[k+1]):
 *                     li = self.out_transitions[l]
 *                     if li >= self.silent_start:             # <<<<<<<<<<<<<<
 *                         continue
 * 
 */
          __pyx_t_3 = ((__pyx_v_li >= __pyx_v_self->silent_start) != 0);
          if (__pyx_t_3) {

            /* "pomegranate/hmm.pyx":1660
 *                     li = self.out_transitions[l]
 *                     if li >= self.silent_start:
 *                         continue             # <<<<<<<<<<<<<<
 * 
 *                     # For each subsequent non-silent state l, take into account
 */
            goto __pyx_L41_continue;

            /* "pomegranate/hmm.pyx":1659
 *                 for l in range(out_edges[k], out_edges[k+1]):
 *                     li = self.out_transitions[l]
 *                     if li >= self.silent_start:             # <<<<<<<<<<<<<<
 *                         continue
 * 
 */
          }

          /* "pomegranate/hmm.pyx":1664
 *                     # For each subsequent non-silent state l, take into account
 *                     # transition and emission emission probability.
 *                     log_probability = pair_lse(log_probability,             # <<<<<<<<<<<<<<
 *                         b[(i+1)*m + li] + self.out_transition_log_probabilities[l] +
 *                         e[i + li*n])
 */
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          __pyx_L41_continue:;
        }

        /* "pomegranate/hmm.pyx":1671
 *                 # next symbol, so we're done finding the probability assuming we
 *                 # transition straight to a non-silent state.
 *                 b[i*m + k] = log_probability             # <<<<<<<<<<<<<<
 * 
 *             for kr in range(m-self.silent_start):
 */
        (__pyx_v_b[((__pyx_v_i * __pyx_v_m) + __pyx_v_k)]) = __pyx_v_log_probability;
      }

      /* "pomegranate/hmm.pyx":1673
 *                 b[i*m + k] = log_probability
 * 
 *             for kr in range(m-self.silent_start):             # <<<<<<<<<<<<<<
 *                 k = m - kr - 1
 * 
 */
      __pyx_t_6 = (__pyx_v_m - __pyx_v_self->silent_start);
      __pyx_t_7 = __pyx_t_6;
      for (__pyx_t_8 = 0; __pyx_t_8 < __pyx_t_7; __pyx_t_8+=1) {
        __pyx_v_kr = __pyx_t_8;

        /* "pomegranate/hmm.pyx":1674
 * 
 *             for kr in range(m-self.silent_start):
 *                 k = m - kr - 1             # <<<<<<<<<<<<<<
 * 
 *                 # Do the silent states' dependencies on each other.
 */
        __pyx_v_k = ((__pyx_v_m - __pyx_v_kr) - 1);

        /* "pomegranate/hmm.pyx":1683
 *                 # current-step silent states and then continue from there to
 *                 # finish the sequence.
 *                 log_probability = NEGINF             # <<<<<<<<<<<<<<
 *                 for l in range(out_edges[k], out_edges[k+1]):
 *                     li = self.out_transitions[l]
 */
        __pyx_v_log_probability = (-Py_HUGE_VAL);

        /* "pomegranate/hmm.pyx":1684
 *                 # finish the sequence.
 *                 log_probability = NEGINF
 *                 for l in range(out_edges[k], out_edges[k+1]):             # <<<<<<<<<<<<<<
 *                     li = self.out_transitions[l]
 *                     if li < k+1:
 */
        __pyx_t_11 = (__pyx_v_out_edges[(__pyx_v_k + 1)]);
        __pyx_t_13 = __pyx_t_11;
        for (__pyx_t_14 = (__pyx_v_out_edges[__pyx_v_k]); __pyx_t_14 < __pyx_t_13; __pyx_t_14+=1) {
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          /* "pomegranate/hmm.pyx":1685
 *                 log_probability = NEGINF
 *                 for l in range(out_edges[k], out_edges[k+1]):
 *                     li = self.out_transitions[l]             # <<<<<<<<<<<<<<
 *                     if li < k+1:
 *                         continue
 */
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          /* "pomegranate/hmm.pyx":1686
 *                 for l in range(out_edges[k], out_edges[k+1]):
 *                     li = self.out_transitions[l]
 *                     if li < k+1:             # <<<<<<<<<<<<<<
 *                         continue
 * 
 */
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            /* "pomegranate/hmm.pyx":1687
 *                     li = self.out_transitions[l]
 *                     if li < k+1:
 *                         continue             # <<<<<<<<<<<<<<
 * 
 *                     # For each possible current-step silent state we can go to,
 */
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            /* "pomegranate/hmm.pyx":1686
 *                 for l in range(out_edges[k], out_edges[k+1]):
 *                     li = self.out_transitions[l]
 *                     if li < k+1:             # <<<<<<<<<<<<<<
 *                         continue
 * 
 */
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          /* "pomegranate/hmm.pyx":1691
 *                     # For each possible current-step silent state we can go to,
 *                     # take into account just transition probability
 *                     log_probability = pair_lse(log_probability,             # <<<<<<<<<<<<<<
 *                         b[i*m + li] + self.out_transition_log_probabilities[l])
 * 
 */
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        /* "pomegranate/hmm.pyx":1696
 *                 # Now add this probability in with the probability accumulated
 *                 # from transitions to subsequent non-silent states.
 *                 b[i*m + k] = pair_lse(log_probability, b[i*m + k])             # <<<<<<<<<<<<<<
 * 
 *             for k in range(self.silent_start):
 */
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 *                 b[i*m + k] = pair_lse(log_probability, b[i*m + k])
 * 
 *             for k in range(self.silent_start):             # <<<<<<<<<<<<<<
 *                 # Do the non-silent states in the current step, which depend on
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 */
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        /* "pomegranate/hmm.pyx":1704
 *                 # This holds the total accumulated log probability of going
 *                 # to such states and continuing from there to the end.
 *                 log_probability = NEGINF             # <<<<<<<<<<<<<<
 *                 for l in range(out_edges[k], out_edges[k+1]):
 *                     li = self.out_transitions[l]
 */
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        /* "pomegranate/hmm.pyx":1705
 *                 # to such states and continuing from there to the end.
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 *                 for l in range(out_edges[k], out_edges[k+1]):             # <<<<<<<<<<<<<<
 *                     li = self.out_transitions[l]
 *                     if li >= self.silent_start:
 */
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          /* "pomegranate/hmm.pyx":1706
 *                 log_probability = NEGINF
 *                 for l in range(out_edges[k], out_edges[k+1]):
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 *                     if li >= self.silent_start:
 *                         continue
 */
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 *                 for l in range(out_edges[k], out_edges[k+1]):
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 *                     if li >= self.silent_start:             # <<<<<<<<<<<<<<
 *                         continue
 * 
 */
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 *                     li = self.out_transitions[l]
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 */
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 *                     li = self.out_transitions[l]
 *                     if li >= self.silent_start:             # <<<<<<<<<<<<<<
 *                         continue
 * 
 */
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 *                         b[(i+1)*m + li] + self.out_transition_log_probabilities[l] +
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 */
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 *                         e[i + li*n])
 * 
 *                 for l in range(out_edges[k], out_edges[k+1]):             # <<<<<<<<<<<<<<
 *                     li = self.out_transitions[l]
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 */
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 * 
 *                 for l in range(out_edges[k], out_edges[k+1]):
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 */
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 * 
 */
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 *                     li = self.out_transitions[l]
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 * 
 *                     # For each current-step silent state, add in the probability
 */
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 *                 for l in range(out_edges[k], out_edges[k+1]):
 *                     li = self.out_transitions[l]
 *                     if li < self.silent_start:             # <<<<<<<<<<<<<<
 *                         continue
 * 
 */
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 *                     # of going from here to there and then continuing on to the
 *                     # end of the sequence.
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 *                         b[i*m + li] + self.out_transition_log_probabilities[l])
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 */
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 */
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 * 
 */
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 * 
 *         if emissions is NULL:             # <<<<<<<<<<<<<<
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 */
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 */
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 *     cdef double* _backward(self, double* sequence, int n, double* emissions) nogil:             # <<<<<<<<<<<<<<
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 */

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/* "pomegranate/hmm.pyx":1735
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 * 
 */

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 */
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 *             log_sequence_probability = f[n*m + self.end_index]
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 *             for i in range(self.silent_start):
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 */
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 *         else:
 *             log_sequence_probability = NEGINF
 *             for i in range(self.silent_start):             # <<<<<<<<<<<<<<
 *                 log_sequence_probability = pair_lse(
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 *             log_sequence_probability = NEGINF
 *             for i in range(self.silent_start):
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 * 
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 */
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 */
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 *             for l in range(out_edges[k], out_edges[k+1]):
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 *                 if li >= self.silent_start:             # <<<<<<<<<<<<<<
 *                     continue
 * 
 */
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 * 
 *                 for i in range(n):
 */
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 *                     log_sequence_probability)
 * 
 */
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 *                     log_sequence_probability)
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 * 
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 * 
 */
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 * 
 *                 for i in range(n):             # <<<<<<<<<<<<<<
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 */
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 * 
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 *         cdef double state_log_probability
 */
    __pyx_v_e = ((double *)malloc(((__pyx_v_n * __pyx_v_self->silent_start) * (sizeof(double)))));

    /* "pomegranate/hmm.pyx":1988
 *         cdef int end_index
 *         cdef double log_probability
 *         cdef int* in_edges = self.in_edge_count             # <<<<<<<<<<<<<<
 * 
 *         memset(path, -1, (n+m)*sizeof(int))
 */
    __pyx_t_2 = __pyx_v_self->in_edge_count;
    __pyx_v_in_edges = __pyx_t_2;

    /* "pomegranate/hmm.pyx":1990
 *         cdef int* in_edges = self.in_edge_count
 * 
 *         memset(path, -1, (n+m)*sizeof(int))             # <<<<<<<<<<<<<<
 * 
 *         # Fill in the emission table
 */
    (void)(memset(__pyx_v_path, -1, ((__pyx_v_n + __pyx_v_m) * (sizeof(int)))));

    /* "pomegranate/hmm.pyx":1993
 * 
 *         # Fill in the emission table
 *         for l in range(self.silent_start):             # <<<<<<<<<<<<<<
 *             for i in range(n):
 *                 if self.cython == 1:
 */
    __pyx_t_1 = __pyx_v_self->silent_start;
    __pyx_t_3 = __pyx_t_1;
    for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_3; __pyx_t_4+=1) {
      __pyx_v_l = __pyx_t_4;

      /* "pomegranate/hmm.pyx":1994
 *         # Fill in the emission table
 *         for l in range(self.silent_start):
 *             for i in range(n):             # <<<<<<<<<<<<<<
 *                 if self.cython == 1:
 *                     (<Model> distributions[l])._log_probability(sequence+i*dim, e+l*n+i, 1)
 */
      __pyx_t_5 = __pyx_v_n;
      __pyx_t_6 = __pyx_t_5;
      for (__pyx_t_7 = 0; __pyx_t_7 < __pyx_t_6; __pyx_t_7+=1) {
        __pyx_v_i = __pyx_t_7;

        /* "pomegranate/hmm.pyx":1995
 *         for l in range(self.silent_start):
 *             for i in range(n):
 *                 if self.cython == 1:             # <<<<<<<<<<<<<<
 *                     (<Model> distributions[l])._log_probability(sequence+i*dim, e+l*n+i, 1)
 *                 else:
 */
        __pyx_t_8 = ((__pyx_v_self->cython == 1) != 0);
        if (__pyx_t_8) {

          /* "pomegranate/hmm.pyx":1996
 *             for i in range(n):
 *                 if self.cython == 1:
 *                     (<Model> distributions[l])._log_probability(sequence+i*dim, e+l*n+i, 1)             # <<<<<<<<<<<<<<
 *                 else:
 *                     with gil:
 */
          ((struct __pyx_vtabstruct_11pomegranate_4base_Model *)((struct __pyx_obj_11pomegranate_4base_Model *)(__pyx_v_distributions[__pyx_v_l]))->__pyx_vtab)->_log_probability(((struct __pyx_obj_11pomegranate_4base_Model *)(__pyx_v_distributions[__pyx_v_l])), (__pyx_v_sequence + (__pyx_v_i * __pyx_v_dim)), ((__pyx_v_e + (__pyx_v_l * __pyx_v_n)) + __pyx_v_i), 1);

          /* "pomegranate/hmm.pyx":1995
 *         for l in range(self.silent_start):
 *             for i in range(n):
 *                 if self.cython == 1:             # <<<<<<<<<<<<<<
 *                     (<Model> distributions[l])._log_probability(sequence+i*dim, e+l*n+i, 1)
 *                 else:
 */
          goto __pyx_L10;
        }

        /* "pomegranate/hmm.pyx":1998
 *                     (<Model> distributions[l])._log_probability(sequence+i*dim, e+l*n+i, 1)
 *                 else:
 *                     with gil:             # <<<<<<<<<<<<<<
 *                         python_log_probability(self.distributions[l], sequence+i*dim, e+l*n+i, 1)
 * 
 */
        /*else*/ {
          {
              #ifdef WITH_THREAD
              PyGILState_STATE __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
              #endif
              /*try:*/ {

                /* "pomegranate/hmm.pyx":1999
 *                 else:
 *                     with gil:
 *                         python_log_probability(self.distributions[l], sequence+i*dim, e+l*n+i, 1)             # <<<<<<<<<<<<<<
 * 
 *                 e[l*n + i] += self.state_weights[l]
 */
                __pyx_t_9 = __Pyx_GetItemInt(((PyObject *)__pyx_v_self->distributions), __pyx_v_l, int, 1, __Pyx_PyInt_From_int, 0, 1, 0); if (unlikely(!__pyx_t_9)) __PYX_ERR(0, 1999, __pyx_L14_error)
                __Pyx_GOTREF(__pyx_t_9);
                __pyx_t_10 = __pyx_f_11pomegranate_5utils_python_log_probability(__pyx_t_9, (__pyx_v_sequence + (__pyx_v_i * __pyx_v_dim)), ((__pyx_v_e + (__pyx_v_l * __pyx_v_n)) + __pyx_v_i), 1); if (unlikely(!__pyx_t_10)) __PYX_ERR(0, 1999, __pyx_L14_error)
                __Pyx_GOTREF(__pyx_t_10);
                __Pyx_DECREF(__pyx_t_9); __pyx_t_9 = 0;
                __Pyx_DECREF(__pyx_t_10); __pyx_t_10 = 0;
              }

              /* "pomegranate/hmm.pyx":1998
 *                     (<Model> distributions[l])._log_probability(sequence+i*dim, e+l*n+i, 1)
 *                 else:
 *                     with gil:             # <<<<<<<<<<<<<<
 *                         python_log_probability(self.distributions[l], sequence+i*dim, e+l*n+i, 1)
 * 
 */
              /*finally:*/ {
                /*normal exit:*/{
                  #ifdef WITH_THREAD
                  __Pyx_PyGILState_Release(__pyx_gilstate_save);
                  #endif
                  goto __pyx_L15;
                }
                __pyx_L14_error: {
                  #ifdef WITH_THREAD
                  __Pyx_PyGILState_Release(__pyx_gilstate_save);
                  #endif
                  goto __pyx_L4_error;
                }
                __pyx_L15:;
              }
          }
        }
        __pyx_L10:;

        /* "pomegranate/hmm.pyx":2001
 *                         python_log_probability(self.distributions[l], sequence+i*dim, e+l*n+i, 1)
 * 
 *                 e[l*n + i] += self.state_weights[l]             # <<<<<<<<<<<<<<
 * 
 *         for i in range(m):
 */
        __pyx_t_11 = ((__pyx_v_l * __pyx_v_n) + __pyx_v_i);
        if (unlikely(!__pyx_v_self->state_weights.memview)) {PyErr_SetString(PyExc_AttributeError,"Memoryview is not initialized");__PYX_ERR(0, 2001, __pyx_L4_error)}
        __pyx_t_12 = __pyx_v_l;
        if (__pyx_t_12 < 0) __pyx_t_12 += __pyx_v_self->state_weights.shape[0];
        (__pyx_v_e[__pyx_t_11]) = ((__pyx_v_e[__pyx_t_11]) + (*((double *) ( /* dim=0 */ (__pyx_v_self->state_weights.data + __pyx_t_12 * __pyx_v_self->state_weights.strides[0]) ))));
      }
    }

    /* "pomegranate/hmm.pyx":2003
 *                 e[l*n + i] += self.state_weights[l]
 * 
 *         for i in range(m):             # <<<<<<<<<<<<<<
 *             v[i] = NEGINF
 *         v[self.start_index] = 0
 */
    __pyx_t_1 = __pyx_v_m;
    __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;

      /* "pomegranate/hmm.pyx":2004
 * 
 *         for i in range(m):
 *             v[i] = NEGINF             # <<<<<<<<<<<<<<
 *         v[self.start_index] = 0
 * 
 */
      (__pyx_v_v[__pyx_v_i]) = (-Py_HUGE_VAL);
    }

    /* "pomegranate/hmm.pyx":2005
 *         for i in range(m):
 *             v[i] = NEGINF
 *         v[self.start_index] = 0             # <<<<<<<<<<<<<<
 * 
 *         for l in range(self.silent_start, m):
 */
    (__pyx_v_v[__pyx_v_self->start_index]) = 0.0;

    /* "pomegranate/hmm.pyx":2007
 *         v[self.start_index] = 0
 * 
 *         for l in range(self.silent_start, m):             # <<<<<<<<<<<<<<
 *             # Handle transitions between silent states before the first symbol
 *             # is emitted. No non-silent states have non-zero probability yet, so
 */
    __pyx_t_1 = __pyx_v_m;
    __pyx_t_3 = __pyx_t_1;
    for (__pyx_t_4 = __pyx_v_self->silent_start; __pyx_t_4 < __pyx_t_3; __pyx_t_4+=1) {
      __pyx_v_l = __pyx_t_4;

      /* "pomegranate/hmm.pyx":2011
 *             # is emitted. No non-silent states have non-zero probability yet, so
 *             # we can ignore them.
 *             if l == self.start_index:             # <<<<<<<<<<<<<<
 *                 # Start state log-probability is already right. Don't touch it.
 *                 continue
 */
      __pyx_t_8 = ((__pyx_v_l == __pyx_v_self->start_index) != 0);
      if (__pyx_t_8) {

        /* "pomegranate/hmm.pyx":2013
 *             if l == self.start_index:
 *                 # Start state log-probability is already right. Don't touch it.
 *                 continue             # <<<<<<<<<<<<<<
 * 
 *             for k in range(in_edges[l], in_edges[l+1]):
 */
        goto __pyx_L18_continue;

        /* "pomegranate/hmm.pyx":2011
 *             # is emitted. No non-silent states have non-zero probability yet, so
 *             # we can ignore them.
 *             if l == self.start_index:             # <<<<<<<<<<<<<<
 *                 # Start state log-probability is already right. Don't touch it.
 *                 continue
 */
      }

      /* "pomegranate/hmm.pyx":2015
 *                 continue
 * 
 *             for k in range(in_edges[l], in_edges[l+1]):             # <<<<<<<<<<<<<<
 *                 ki = self.in_transitions[k]
 *                 if ki < self.silent_start or ki >= l:
 */
      __pyx_t_5 = (__pyx_v_in_edges[(__pyx_v_l + 1)]);
      __pyx_t_6 = __pyx_t_5;
      for (__pyx_t_7 = (__pyx_v_in_edges[__pyx_v_l]); __pyx_t_7 < __pyx_t_6; __pyx_t_7+=1) {
        __pyx_v_k = __pyx_t_7;

        /* "pomegranate/hmm.pyx":2016
 * 
 *             for k in range(in_edges[l], in_edges[l+1]):
 *                 ki = self.in_transitions[k]             # <<<<<<<<<<<<<<
 *                 if ki < self.silent_start or ki >= l:
 *                     continue
 */
        __pyx_v_ki = (__pyx_v_self->in_transitions[__pyx_v_k]);

        /* "pomegranate/hmm.pyx":2017
 *             for k in range(in_edges[l], in_edges[l+1]):
 *                 ki = self.in_transitions[k]
 *                 if ki < self.silent_start or ki >= l:             # <<<<<<<<<<<<<<
 *                     continue
 * 
 */
        __pyx_t_13 = ((__pyx_v_ki < __pyx_v_self->silent_start) != 0);
        if (!__pyx_t_13) {
        } else {
          __pyx_t_8 = __pyx_t_13;
          goto __pyx_L24_bool_binop_done;
        }
        __pyx_t_13 = ((__pyx_v_ki >= __pyx_v_l) != 0);
        __pyx_t_8 = __pyx_t_13;
        __pyx_L24_bool_binop_done:;
        if (__pyx_t_8) {

          /* "pomegranate/hmm.pyx":2018
 *                 ki = self.in_transitions[k]
 *                 if ki < self.silent_start or ki >= l:
 *                     continue             # <<<<<<<<<<<<<<
 * 
 *                 # For each current-step preceding silent state k
 */
          goto __pyx_L21_continue;

          /* "pomegranate/hmm.pyx":2017
 *             for k in range(in_edges[l], in_edges[l+1]):
 *                 ki = self.in_transitions[k]
 *                 if ki < self.silent_start or ki >= l:             # <<<<<<<<<<<<<<
 *                     continue
 * 
 */
        }

        /* "pomegranate/hmm.pyx":2022
 *                 # For each current-step preceding silent state k
 *                 # This holds the log-probability coming that way
 *                 state_log_probability = v[ki] + self.in_transition_log_probabilities[k]             # <<<<<<<<<<<<<<
 * 
 *                 if state_log_probability > v[l]:
 */
        __pyx_v_state_log_probability = ((__pyx_v_v[__pyx_v_ki]) + (__pyx_v_self->in_transition_log_probabilities[__pyx_v_k]));

        /* "pomegranate/hmm.pyx":2024
 *                 state_log_probability = v[ki] + self.in_transition_log_probabilities[k]
 * 
 *                 if state_log_probability > v[l]:             # <<<<<<<<<<<<<<
 *                     v[l] = state_log_probability
 *                     tracebackx[l] = 0
 */
        __pyx_t_8 = ((__pyx_v_state_log_probability > (__pyx_v_v[__pyx_v_l])) != 0);
        if (__pyx_t_8) {

          /* "pomegranate/hmm.pyx":2025
 * 
 *                 if state_log_probability > v[l]:
 *                     v[l] = state_log_probability             # <<<<<<<<<<<<<<
 *                     tracebackx[l] = 0
 *                     tracebacky[l] = ki
 */
          (__pyx_v_v[__pyx_v_l]) = __pyx_v_state_log_probability;

          /* "pomegranate/hmm.pyx":2026
 *                 if state_log_probability > v[l]:
 *                     v[l] = state_log_probability
 *                     tracebackx[l] = 0             # <<<<<<<<<<<<<<
 *                     tracebacky[l] = ki
 * 
 */
          (__pyx_v_tracebackx[__pyx_v_l]) = 0;

          /* "pomegranate/hmm.pyx":2027
 *                     v[l] = state_log_probability
 *                     tracebackx[l] = 0
 *                     tracebacky[l] = ki             # <<<<<<<<<<<<<<
 * 
 *         for i in range(n):
 */
          (__pyx_v_tracebacky[__pyx_v_l]) = __pyx_v_ki;

          /* "pomegranate/hmm.pyx":2024
 *                 state_log_probability = v[ki] + self.in_transition_log_probabilities[k]
 * 
 *                 if state_log_probability > v[l]:             # <<<<<<<<<<<<<<
 *                     v[l] = state_log_probability
 *                     tracebackx[l] = 0
 */
        }
        __pyx_L21_continue:;
      }
      __pyx_L18_continue:;
    }

    /* "pomegranate/hmm.pyx":2029
 *                     tracebacky[l] = ki
 * 
 *         for i in range(n):             # <<<<<<<<<<<<<<
 *             for l in range(self.silent_start):
 *                 # Do the recurrence for non-silent states l
 */
    __pyx_t_1 = __pyx_v_n;
    __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;

      /* "pomegranate/hmm.pyx":2030
 * 
 *         for i in range(n):
 *             for l in range(self.silent_start):             # <<<<<<<<<<<<<<
 *                 # Do the recurrence for non-silent states l
 *                 # Start out saying the best likelihood we have is -inf
 */
      __pyx_t_5 = __pyx_v_self->silent_start;
      __pyx_t_6 = __pyx_t_5;
      for (__pyx_t_7 = 0; __pyx_t_7 < __pyx_t_6; __pyx_t_7+=1) {
        __pyx_v_l = __pyx_t_7;

        /* "pomegranate/hmm.pyx":2033
 *                 # Do the recurrence for non-silent states l
 *                 # Start out saying the best likelihood we have is -inf
 *                 v[(i+1)*m + l] = NEGINF             # <<<<<<<<<<<<<<
 * 
 *                 for k in range(in_edges[l], in_edges[l+1]):
 */
        (__pyx_v_v[(((__pyx_v_i + 1) * __pyx_v_m) + __pyx_v_l)]) = (-Py_HUGE_VAL);

        /* "pomegranate/hmm.pyx":2035
 *                 v[(i+1)*m + l] = NEGINF
 * 
 *                 for k in range(in_edges[l], in_edges[l+1]):             # <<<<<<<<<<<<<<
 *                     ki = self.in_transitions[k]
 * 
 */
        __pyx_t_11 = (__pyx_v_in_edges[(__pyx_v_l + 1)]);
        __pyx_t_14 = __pyx_t_11;
        for (__pyx_t_15 = (__pyx_v_in_edges[__pyx_v_l]); __pyx_t_15 < __pyx_t_14; __pyx_t_15+=1) {
          __pyx_v_k = __pyx_t_15;

          /* "pomegranate/hmm.pyx":2036
 * 
 *                 for k in range(in_edges[l], in_edges[l+1]):
 *                     ki = self.in_transitions[k]             # <<<<<<<<<<<<<<
 * 
 *                     # For each previous state k
 */
          __pyx_v_ki = (__pyx_v_self->in_transitions[__pyx_v_k]);

          /* "pomegranate/hmm.pyx":2041
 *                     # This holds the log-probability coming that way
 *                     state_log_probability = v[i*m + ki] + \
 *                         self.in_transition_log_probabilities[k] + e[i + l*n]             # <<<<<<<<<<<<<<
 * 
 *                     if state_log_probability > v[(i+1)*m + l]:
 */
          __pyx_v_state_log_probability = (((__pyx_v_v[((__pyx_v_i * __pyx_v_m) + __pyx_v_ki)]) + (__pyx_v_self->in_transition_log_probabilities[__pyx_v_k])) + (__pyx_v_e[(__pyx_v_i + (__pyx_v_l * __pyx_v_n))]));

          /* "pomegranate/hmm.pyx":2043
 *                         self.in_transition_log_probabilities[k] + e[i + l*n]
 * 
 *                     if state_log_probability > v[(i+1)*m + l]:             # <<<<<<<<<<<<<<
 *                         v[(i+1)*m + l] = state_log_probability
 *                         tracebackx[(i+1)*m + l] = i
 */
          __pyx_t_8 = ((__pyx_v_state_log_probability > (__pyx_v_v[(((__pyx_v_i + 1) * __pyx_v_m) + __pyx_v_l)])) != 0);
          if (__pyx_t_8) {

            /* "pomegranate/hmm.pyx":2044
 * 
 *                     if state_log_probability > v[(i+1)*m + l]:
 *                         v[(i+1)*m + l] = state_log_probability             # <<<<<<<<<<<<<<
 *                         tracebackx[(i+1)*m + l] = i
 *                         tracebacky[(i+1)*m + l] = ki
 */
            (__pyx_v_v[(((__pyx_v_i + 1) * __pyx_v_m) + __pyx_v_l)]) = __pyx_v_state_log_probability;

            /* "pomegranate/hmm.pyx":2045
 *                     if state_log_probability > v[(i+1)*m + l]:
 *                         v[(i+1)*m + l] = state_log_probability
 *                         tracebackx[(i+1)*m + l] = i             # <<<<<<<<<<<<<<
 *                         tracebacky[(i+1)*m + l] = ki
 * 
 */
            (__pyx_v_tracebackx[(((__pyx_v_i + 1) * __pyx_v_m) + __pyx_v_l)]) = __pyx_v_i;

            /* "pomegranate/hmm.pyx":2046
 *                         v[(i+1)*m + l] = state_log_probability
 *                         tracebackx[(i+1)*m + l] = i
 *                         tracebacky[(i+1)*m + l] = ki             # <<<<<<<<<<<<<<
 * 
 *             for l in range(self.silent_start, m):
 */
            (__pyx_v_tracebacky[(((__pyx_v_i + 1) * __pyx_v_m) + __pyx_v_l)]) = __pyx_v_ki;

            /* "pomegranate/hmm.pyx":2043
 *                         self.in_transition_log_probabilities[k] + e[i + l*n]
 * 
 *                     if state_log_probability > v[(i+1)*m + l]:             # <<<<<<<<<<<<<<
 *                         v[(i+1)*m + l] = state_log_probability
 *                         tracebackx[(i+1)*m + l] = i
 */
          }
        }
      }

      /* "pomegranate/hmm.pyx":2048
 *                         tracebacky[(i+1)*m + l] = ki
 * 
 *             for l in range(self.silent_start, m):             # <<<<<<<<<<<<<<
 *                 # Now do the first pass over the silent states, finding the best
 *                 # current-step non-silent state they could come from.
 */
      __pyx_t_5 = __pyx_v_m;
      __pyx_t_6 = __pyx_t_5;
      for (__pyx_t_7 = __pyx_v_self->silent_start; __pyx_t_7 < __pyx_t_6; __pyx_t_7+=1) {
        __pyx_v_l = __pyx_t_7;

        /* "pomegranate/hmm.pyx":2052
 *                 # current-step non-silent state they could come from.
 *                 # Start out saying the best likelihood we have is -inf
 *                 v[(i+1)*m + l] = NEGINF             # <<<<<<<<<<<<<<
 * 
 *                 for k in range(in_edges[l], in_edges[l+1]):
 */
        (__pyx_v_v[(((__pyx_v_i + 1) * __pyx_v_m) + __pyx_v_l)]) = (-Py_HUGE_VAL);

        /* "pomegranate/hmm.pyx":2054
 *                 v[(i+1)*m + l] = NEGINF
 * 
 *                 for k in range(in_edges[l], in_edges[l+1]):             # <<<<<<<<<<<<<<
 *                     ki = self.in_transitions[k]
 *                     if ki >= self.silent_start:
 */
        __pyx_t_11 = (__pyx_v_in_edges[(__pyx_v_l + 1)]);
        __pyx_t_14 = __pyx_t_11;
        for (__pyx_t_15 = (__pyx_v_in_edges[__pyx_v_l]); __pyx_t_15 < __pyx_t_14; __pyx_t_15+=1) {
          __pyx_v_k = __pyx_t_15;

          /* "pomegranate/hmm.pyx":2055
 * 
 *                 for k in range(in_edges[l], in_edges[l+1]):
 *                     ki = self.in_transitions[k]             # <<<<<<<<<<<<<<
 *                     if ki >= self.silent_start:
 *                         continue
 */
          __pyx_v_ki = (__pyx_v_self->in_transitions[__pyx_v_k]);

          /* "pomegranate/hmm.pyx":2056
 *                 for k in range(in_edges[l], in_edges[l+1]):
 *                     ki = self.in_transitions[k]
 *                     if ki >= self.silent_start:             # <<<<<<<<<<<<<<
 *                         continue
 * 
 */
          __pyx_t_8 = ((__pyx_v_ki >= __pyx_v_self->silent_start) != 0);
          if (__pyx_t_8) {

            /* "pomegranate/hmm.pyx":2057
 *                     ki = self.in_transitions[k]
 *                     if ki >= self.silent_start:
 *                         continue             # <<<<<<<<<<<<<<
 * 
 *                     # For each current-step non-silent state k
 */
            goto __pyx_L36_continue;

            /* "pomegranate/hmm.pyx":2056
 *                 for k in range(in_edges[l], in_edges[l+1]):
 *                     ki = self.in_transitions[k]
 *                     if ki >= self.silent_start:             # <<<<<<<<<<<<<<
 *                         continue
 * 
 */
          }

          /* "pomegranate/hmm.pyx":2061
 *                     # For each current-step non-silent state k
 *                     # This holds the log-probability coming that way
 *                     state_log_probability = v[(i+1)*m + ki] + \             # <<<<<<<<<<<<<<
 *                         self.in_transition_log_probabilities[k]
 * 
 */
          __pyx_v_state_log_probability = ((__pyx_v_v[(((__pyx_v_i + 1) * __pyx_v_m) + __pyx_v_ki)]) + (__pyx_v_self->in_transition_log_probabilities[__pyx_v_k]));

          /* "pomegranate/hmm.pyx":2064
 *                         self.in_transition_log_probabilities[k]
 * 
 *                     if state_log_probability > v[(i+1)*m + l]:             # <<<<<<<<<<<<<<
 *                         v[(i+1)*m + l] = state_log_probability
 *                         tracebackx[(i+1)*m + l] = i+1
 */
          __pyx_t_8 = ((__pyx_v_state_log_probability > (__pyx_v_v[(((__pyx_v_i + 1) * __pyx_v_m) + __pyx_v_l)])) != 0);
          if (__pyx_t_8) {

            /* "pomegranate/hmm.pyx":2065
 * 
 *                     if state_log_probability > v[(i+1)*m + l]:
 *                         v[(i+1)*m + l] = state_log_probability             # <<<<<<<<<<<<<<
 *                         tracebackx[(i+1)*m + l] = i+1
 *                         tracebacky[(i+1)*m + l] = ki
 */
            (__pyx_v_v[(((__pyx_v_i + 1) * __pyx_v_m) + __pyx_v_l)]) = __pyx_v_state_log_probability;

            /* "pomegranate/hmm.pyx":2066
 *                     if state_log_probability > v[(i+1)*m + l]:
 *                         v[(i+1)*m + l] = state_log_probability
 *                         tracebackx[(i+1)*m + l] = i+1             # <<<<<<<<<<<<<<
 *                         tracebacky[(i+1)*m + l] = ki
 * 
 */
            (__pyx_v_tracebackx[(((__pyx_v_i + 1) * __pyx_v_m) + __pyx_v_l)]) = (__pyx_v_i + 1);

            /* "pomegranate/hmm.pyx":2067
 *                         v[(i+1)*m + l] = state_log_probability
 *                         tracebackx[(i+1)*m + l] = i+1
 *                         tracebacky[(i+1)*m + l] = ki             # <<<<<<<<<<<<<<
 * 
 *             for l in range(self.silent_start, m):
 */
            (__pyx_v_tracebacky[(((__pyx_v_i + 1) * __pyx_v_m) + __pyx_v_l)]) = __pyx_v_ki;

            /* "pomegranate/hmm.pyx":2064
 *                         self.in_transition_log_probabilities[k]
 * 
 *                     if state_log_probability > v[(i+1)*m + l]:             # <<<<<<<<<<<<<<
 *                         v[(i+1)*m + l] = state_log_probability
 *                         tracebackx[(i+1)*m + l] = i+1
 */
          }
          __pyx_L36_continue:;
        }
      }

      /* "pomegranate/hmm.pyx":2069
 *                         tracebacky[(i+1)*m + l] = ki
 * 
 *             for l in range(self.silent_start, m):             # <<<<<<<<<<<<<<
 *                 # Now the second pass through silent states, where we check the
 *                 # silent states that could potentially reach here and see if
 */
      __pyx_t_5 = __pyx_v_m;
      __pyx_t_6 = __pyx_t_5;
      for (__pyx_t_7 = __pyx_v_self->silent_start; __pyx_t_7 < __pyx_t_6; __pyx_t_7+=1) {
        __pyx_v_l = __pyx_t_7;

        /* "pomegranate/hmm.pyx":2074
 *                 # they're better than the non-silent states we found.
 * 
 *                 for k in range(in_edges[l], in_edges[l+1]):             # <<<<<<<<<<<<<<
 *                     ki = self.in_transitions[k]
 *                     if ki < self.silent_start or ki >= l:
 */
        __pyx_t_11 = (__pyx_v_in_edges[(__pyx_v_l + 1)]);
        __pyx_t_14 = __pyx_t_11;
        for (__pyx_t_15 = (__pyx_v_in_edges[__pyx_v_l]); __pyx_t_15 < __pyx_t_14; __pyx_t_15+=1) {
          __pyx_v_k = __pyx_t_15;

          /* "pomegranate/hmm.pyx":2075
 * 
 *                 for k in range(in_edges[l], in_edges[l+1]):
 *                     ki = self.in_transitions[k]             # <<<<<<<<<<<<<<
 *                     if ki < self.silent_start or ki >= l:
 *                         continue
 */
          __pyx_v_ki = (__pyx_v_self->in_transitions[__pyx_v_k]);

          /* "pomegranate/hmm.pyx":2076
 *                 for k in range(in_edges[l], in_edges[l+1]):
 *                     ki = self.in_transitions[k]
 *                     if ki < self.silent_start or ki >= l:             # <<<<<<<<<<<<<<
 *                         continue
 * 
 */
          __pyx_t_13 = ((__pyx_v_ki < __pyx_v_self->silent_start) != 0);
          if (!__pyx_t_13) {
          } else {
            __pyx_t_8 = __pyx_t_13;
            goto __pyx_L45_bool_binop_done;
          }
          __pyx_t_13 = ((__pyx_v_ki >= __pyx_v_l) != 0);
          __pyx_t_8 = __pyx_t_13;
          __pyx_L45_bool_binop_done:;
          if (__pyx_t_8) {

            /* "pomegranate/hmm.pyx":2077
 *                     ki = self.in_transitions[k]
 *                     if ki < self.silent_start or ki >= l:
 *                         continue             # <<<<<<<<<<<<<<
 * 
 *                     # For each current-step preceding silent state k
 */
            goto __pyx_L42_continue;

            /* "pomegranate/hmm.pyx":2076
 *                 for k in range(in_edges[l], in_edges[l+1]):
 *                     ki = self.in_transitions[k]
 *                     if ki < self.silent_start or ki >= l:             # <<<<<<<<<<<<<<
 *                         continue
 * 
 */
          }

          /* "pomegranate/hmm.pyx":2081
 *                     # For each current-step preceding silent state k
 *                     # This holds the log-probability coming that way
 *                     state_log_probability = v[(i+1)*m + ki] + \             # <<<<<<<<<<<<<<
 *                         self.in_transition_log_probabilities[k]
 * 
 */
          __pyx_v_state_log_probability = ((__pyx_v_v[(((__pyx_v_i + 1) * __pyx_v_m) + __pyx_v_ki)]) + (__pyx_v_self->in_transition_log_probabilities[__pyx_v_k]));

          /* "pomegranate/hmm.pyx":2084
 *                         self.in_transition_log_probabilities[k]
 * 
 *                     if state_log_probability > v[(i+1)*m + l]:             # <<<<<<<<<<<<<<
 *                         v[(i+1)*m + l] = state_log_probability
 *                         tracebackx[(i+1)*m + l] = i+1
 */
          __pyx_t_8 = ((__pyx_v_state_log_probability > (__pyx_v_v[(((__pyx_v_i + 1) * __pyx_v_m) + __pyx_v_l)])) != 0);
          if (__pyx_t_8) {

            /* "pomegranate/hmm.pyx":2085
 * 
 *                     if state_log_probability > v[(i+1)*m + l]:
 *                         v[(i+1)*m + l] = state_log_probability             # <<<<<<<<<<<<<<
 *                         tracebackx[(i+1)*m + l] = i+1
 *                         tracebacky[(i+1)*m + l] = ki
 */
            (__pyx_v_v[(((__pyx_v_i + 1) * __pyx_v_m) + __pyx_v_l)]) = __pyx_v_state_log_probability;

            /* "pomegranate/hmm.pyx":2086
 *                     if state_log_probability > v[(i+1)*m + l]:
 *                         v[(i+1)*m + l] = state_log_probability
 *                         tracebackx[(i+1)*m + l] = i+1             # <<<<<<<<<<<<<<
 *                         tracebacky[(i+1)*m + l] = ki
 * 
 */
            (__pyx_v_tracebackx[(((__pyx_v_i + 1) * __pyx_v_m) + __pyx_v_l)]) = (__pyx_v_i + 1);

            /* "pomegranate/hmm.pyx":2087
 *                         v[(i+1)*m + l] = state_log_probability
 *                         tracebackx[(i+1)*m + l] = i+1
 *                         tracebacky[(i+1)*m + l] = ki             # <<<<<<<<<<<<<<
 * 
 *         # Now the DP table is filled in. If this is a finite model, get the
 */
            (__pyx_v_tracebacky[(((__pyx_v_i + 1) * __pyx_v_m) + __pyx_v_l)]) = __pyx_v_ki;

            /* "pomegranate/hmm.pyx":2084
 *                         self.in_transition_log_probabilities[k]
 * 
 *                     if state_log_probability > v[(i+1)*m + l]:             # <<<<<<<<<<<<<<
 *                         v[(i+1)*m + l] = state_log_probability
 *                         tracebackx[(i+1)*m + l] = i+1
 */
          }
          __pyx_L42_continue:;
        }
      }
    }

    /* "pomegranate/hmm.pyx":2093
 *         # ML path through the model. If an infinite sequence, find the state
 *         # which the ML path ends in, and begin there.
 *         if self.finite == 1:             # <<<<<<<<<<<<<<
 *             log_probability = v[n*m + self.end_index]
 *             end_index = self.end_index
 */
    __pyx_t_8 = ((__pyx_v_self->finite == 1) != 0);
    if (__pyx_t_8) {

      /* "pomegranate/hmm.pyx":2094
 *         # which the ML path ends in, and begin there.
 *         if self.finite == 1:
 *             log_probability = v[n*m + self.end_index]             # <<<<<<<<<<<<<<
 *             end_index = self.end_index
 *         else:
 */
      __pyx_v_log_probability = (__pyx_v_v[((__pyx_v_n * __pyx_v_m) + __pyx_v_self->end_index)]);

      /* "pomegranate/hmm.pyx":2095
 *         if self.finite == 1:
 *             log_probability = v[n*m + self.end_index]
 *             end_index = self.end_index             # <<<<<<<<<<<<<<
 *         else:
 *             end_index = -1
 */
      __pyx_t_1 = __pyx_v_self->end_index;
      __pyx_v_end_index = __pyx_t_1;

      /* "pomegranate/hmm.pyx":2093
 *         # ML path through the model. If an infinite sequence, find the state
 *         # which the ML path ends in, and begin there.
 *         if self.finite == 1:             # <<<<<<<<<<<<<<
 *             log_probability = v[n*m + self.end_index]
 *             end_index = self.end_index
 */
      goto __pyx_L48;
    }

    /* "pomegranate/hmm.pyx":2097
 *             end_index = self.end_index
 *         else:
 *             end_index = -1             # <<<<<<<<<<<<<<
 *             log_probability = NEGINF
 *             for i in range(m):
 */
    /*else*/ {
      __pyx_v_end_index = -1;

      /* "pomegranate/hmm.pyx":2098
 *         else:
 *             end_index = -1
 *             log_probability = NEGINF             # <<<<<<<<<<<<<<
 *             for i in range(m):
 *                 if v[n*m + i] > log_probability:
 */
      __pyx_v_log_probability = (-Py_HUGE_VAL);

      /* "pomegranate/hmm.pyx":2099
 *             end_index = -1
 *             log_probability = NEGINF
 *             for i in range(m):             # <<<<<<<<<<<<<<
 *                 if v[n*m + i] > log_probability:
 *                     log_probability = v[n*m + i]
 */
      __pyx_t_1 = __pyx_v_m;
      __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;

        /* "pomegranate/hmm.pyx":2100
 *             log_probability = NEGINF
 *             for i in range(m):
 *                 if v[n*m + i] > log_probability:             # <<<<<<<<<<<<<<
 *                     log_probability = v[n*m + i]
 *                     end_index = i
 */
        __pyx_t_8 = (((__pyx_v_v[((__pyx_v_n * __pyx_v_m) + __pyx_v_i)]) > __pyx_v_log_probability) != 0);
        if (__pyx_t_8) {

          /* "pomegranate/hmm.pyx":2101
 *             for i in range(m):
 *                 if v[n*m + i] > log_probability:
 *                     log_probability = v[n*m + i]             # <<<<<<<<<<<<<<
 *                     end_index = i
 * 
 */
          __pyx_v_log_probability = (__pyx_v_v[((__pyx_v_n * __pyx_v_m) + __pyx_v_i)]);

          /* "pomegranate/hmm.pyx":2102
 *                 if v[n*m + i] > log_probability:
 *                     log_probability = v[n*m + i]
 *                     end_index = i             # <<<<<<<<<<<<<<
 * 
 *         if log_probability == NEGINF:
 */
          __pyx_v_end_index = __pyx_v_i;

          /* "pomegranate/hmm.pyx":2100
 *             log_probability = NEGINF
 *             for i in range(m):
 *                 if v[n*m + i] > log_probability:             # <<<<<<<<<<<<<<
 *                     log_probability = v[n*m + i]
 *                     end_index = i
 */
        }
      }
    }
    __pyx_L48:;

    /* "pomegranate/hmm.pyx":2104
 *                     end_index = i
 * 
 *         if log_probability == NEGINF:             # <<<<<<<<<<<<<<
 *             free(tracebackx)
 *             free(tracebacky)
 */
    __pyx_t_8 = ((__pyx_v_log_probability == (-Py_HUGE_VAL)) != 0);
    if (__pyx_t_8) {

      /* "pomegranate/hmm.pyx":2105
 * 
 *         if log_probability == NEGINF:
 *             free(tracebackx)             # <<<<<<<<<<<<<<
 *             free(tracebacky)
 *             free(v)
 */
      free(__pyx_v_tracebackx);

      /* "pomegranate/hmm.pyx":2106
 *         if log_probability == NEGINF:
 *             free(tracebackx)
 *             free(tracebacky)             # <<<<<<<<<<<<<<
 *             free(v)
 *             free(e)
 */
      free(__pyx_v_tracebacky);

      /* "pomegranate/hmm.pyx":2107
 *             free(tracebackx)
 *             free(tracebacky)
 *             free(v)             # <<<<<<<<<<<<<<
 *             free(e)
 *             return log_probability
 */
      free(__pyx_v_v);

      /* "pomegranate/hmm.pyx":2108
 *             free(tracebacky)
 *             free(v)
 *             free(e)             # <<<<<<<<<<<<<<
 *             return log_probability
 * 
 */
      free(__pyx_v_e);

      /* "pomegranate/hmm.pyx":2109
 *             free(v)
 *             free(e)
 *             return log_probability             # <<<<<<<<<<<<<<
 * 
 *         # Otherwise, do the traceback
 */
      __pyx_r = __pyx_v_log_probability;
      goto __pyx_L3_return;

      /* "pomegranate/hmm.pyx":2104
 *                     end_index = i
 * 
 *         if log_probability == NEGINF:             # <<<<<<<<<<<<<<
 *             free(tracebackx)
 *             free(tracebacky)
 */
    }

    /* "pomegranate/hmm.pyx":2113
 *         # Otherwise, do the traceback
 *         # This holds the path, which we construct in reverse order
 *         cdef int px = n, py = end_index, npx             # <<<<<<<<<<<<<<
 *         cdef int length = 0
 * 
 */
    __pyx_v_px = __pyx_v_n;
    __pyx_v_py = __pyx_v_end_index;

    /* "pomegranate/hmm.pyx":2114
 *         # This holds the path, which we construct in reverse order
 *         cdef int px = n, py = end_index, npx
 *         cdef int length = 0             # <<<<<<<<<<<<<<
 * 
 *         while px != 0 or py != self.start_index:
 */
    __pyx_v_length = 0;

    /* "pomegranate/hmm.pyx":2116
 *         cdef int length = 0
 * 
 *         while px != 0 or py != self.start_index:             # <<<<<<<<<<<<<<
 *             # Until we've traced back to the start...
 *             # Put the position in the path, making sure to look up the state
 */
    while (1) {
      __pyx_t_13 = ((__pyx_v_px != 0) != 0);
      if (!__pyx_t_13) {
      } else {
        __pyx_t_8 = __pyx_t_13;
        goto __pyx_L55_bool_binop_done;
      }
      __pyx_t_13 = ((__pyx_v_py != __pyx_v_self->start_index) != 0);
      __pyx_t_8 = __pyx_t_13;
      __pyx_L55_bool_binop_done:;
      if (!__pyx_t_8) break;

      /* "pomegranate/hmm.pyx":2120
 *             # Put the position in the path, making sure to look up the state
 *             # object to use instead of the state index.
 *             path[length] = py             # <<<<<<<<<<<<<<
 *             length += 1
 * 
 */
      (__pyx_v_path[__pyx_v_length]) = __pyx_v_py;

      /* "pomegranate/hmm.pyx":2121
 *             # object to use instead of the state index.
 *             path[length] = py
 *             length += 1             # <<<<<<<<<<<<<<
 * 
 *             # Go backwards
 */
      __pyx_v_length = (__pyx_v_length + 1);

      /* "pomegranate/hmm.pyx":2124
 * 
 *             # Go backwards
 *             npx = tracebackx[px*m + py]             # <<<<<<<<<<<<<<
 *             py = tracebacky[px*m + py]
 *             px = npx
 */
      __pyx_v_npx = (__pyx_v_tracebackx[((__pyx_v_px * __pyx_v_m) + __pyx_v_py)]);

      /* "pomegranate/hmm.pyx":2125
 *             # Go backwards
 *             npx = tracebackx[px*m + py]
 *             py = tracebacky[px*m + py]             # <<<<<<<<<<<<<<
 *             px = npx
 * 
 */
      __pyx_v_py = (__pyx_v_tracebacky[((__pyx_v_px * __pyx_v_m) + __pyx_v_py)]);

      /* "pomegranate/hmm.pyx":2126
 *             npx = tracebackx[px*m + py]
 *             py = tracebacky[px*m + py]
 *             px = npx             # <<<<<<<<<<<<<<
 * 
 *         # We've now reached the start (if we didn't raise an exception because
 */
      __pyx_v_px = __pyx_v_npx;
    }

    /* "pomegranate/hmm.pyx":2131
 *         # we messed up the traceback)
 *         # Record that we start at the start
 *         path[length] = py             # <<<<<<<<<<<<<<
 * 
 *         for i in range((length + 1) / 2):
 */
    (__pyx_v_path[__pyx_v_length]) = __pyx_v_py;

    /* "pomegranate/hmm.pyx":2133
 *         path[length] = py
 * 
 *         for i in range((length + 1) / 2):             # <<<<<<<<<<<<<<
 *             path[i], path[length-i] = path[length-i], path[i]
 * 
 */
    __pyx_t_16 = ((__pyx_v_length + 1) / 2);
    __pyx_t_17 = __pyx_t_16;
    for (__pyx_t_1 = 0; __pyx_t_1 < __pyx_t_17; __pyx_t_1+=1) {
      __pyx_v_i = __pyx_t_1;

      /* "pomegranate/hmm.pyx":2134
 * 
 *         for i in range((length + 1) / 2):
 *             path[i], path[length-i] = path[length-i], path[i]             # <<<<<<<<<<<<<<
 * 
 *         free(tracebackx)
 */
      __pyx_t_3 = (__pyx_v_path[(__pyx_v_length - __pyx_v_i)]);
      __pyx_t_4 = (__pyx_v_path[__pyx_v_i]);
      (__pyx_v_path[__pyx_v_i]) = __pyx_t_3;
      (__pyx_v_path[(__pyx_v_length - __pyx_v_i)]) = __pyx_t_4;
    }

    /* "pomegranate/hmm.pyx":2136
 *             path[i], path[length-i] = path[length-i], path[i]
 * 
 *         free(tracebackx)             # <<<<<<<<<<<<<<
 *         free(tracebacky)
 *         free(v)
 */
    free(__pyx_v_tracebackx);

    /* "pomegranate/hmm.pyx":2137
 * 
 *         free(tracebackx)
 *         free(tracebacky)             # <<<<<<<<<<<<<<
 *         free(v)
 *         free(e)
 */
    free(__pyx_v_tracebacky);

    /* "pomegranate/hmm.pyx":2138
 *         free(tracebackx)
 *         free(tracebacky)
 *         free(v)             # <<<<<<<<<<<<<<
 *         free(e)
 *         return log_probability
 */
    free(__pyx_v_v);

    /* "pomegranate/hmm.pyx":2139
 *         free(tracebacky)
 *         free(v)
 *         free(e)             # <<<<<<<<<<<<<<
 *         return log_probability
 * 
 */
    free(__pyx_v_e);

    /* "pomegranate/hmm.pyx":2140
 *         free(v)
 *         free(e)
 *         return log_probability             # <<<<<<<<<<<<<<
 * 
 *     def predict_proba(self, sequence):
 */
    __pyx_r = __pyx_v_log_probability;
    goto __pyx_L3_return;
  }

  /* "pomegranate/hmm.pyx":1974
 * 
 *     cdef double _viterbi(self, double* sequence, int* path, int n, int m) nogil:
 *         cdef int p = self.silent_start             # <<<<<<<<<<<<<<
 *         cdef int i, l, k, ki
 *         cdef int dim = self.d
 */
  /*finally:*/ {
    __pyx_L3_return: {
      #ifdef WITH_THREAD
      __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
      #endif
      goto __pyx_L0;
    }
    __pyx_L4_error: {
      #ifdef WITH_THREAD
      __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
      #endif
      goto __pyx_L1_error;
    }
  }

  /* "pomegranate/hmm.pyx":1973
 * 
 * 
 *     cdef double _viterbi(self, double* sequence, int* path, int n, int m) nogil:             # <<<<<<<<<<<<<<
 *         cdef int p = self.silent_start
 *         cdef int i, l, k, ki
 */

  /* function exit code */
  __pyx_r = 0;
  goto __pyx_L0;
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_9);
  __Pyx_XDECREF(__pyx_t_10);
  __Pyx_WriteUnraisable("pomegranate.hmm.HiddenMarkovModel._viterbi", __pyx_clineno, __pyx_lineno, __pyx_filename, 1, 1);
  __pyx_r = 0;
  __pyx_L0:;
  #ifdef WITH_THREAD
  __Pyx_PyGILState_Release(__pyx_gilstate_save);
  #endif
  return __pyx_r;
}

/* "pomegranate/hmm.pyx":2142
 *         return log_probability
 * 
 *     def predict_proba(self, sequence):             # <<<<<<<<<<<<<<
 *         """Calculate the state probabilities for each observation in the sequence.
 * 
 */

/* Python wrapper */
static PyObject *__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_49predict_proba(PyObject *__pyx_v_self, PyObject *__pyx_v_sequence); /*proto*/
static char __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_48predict_proba[] = "Calculate the state probabilities for each observation in the sequence.\n\n        Run the forward-backward algorithm on the sequence and return the emission\n        matrix. This is the normalized probability that each each state\n        generated that emission given both the symbol and the entire sequence.\n\n        This is a sklearn wrapper for the forward backward algorithm.\n\n        See also:\n            - Forward and backward algorithm implementations. A comprehensive\n            description of the forward, backward, and forward-background\n            algorithm is here:\n            http://en.wikipedia.org/wiki/Forward%E2%80%93backward_algorithm\n\n        Parameters\n        ----------\n        sequence : array-like\n            An array (or list) of observations.\n\n        Returns\n        -------\n        emissions : array-like, shape (len(sequence), n_nonsilent_states)\n            The normalized probabilities of each state generating each emission.\n        ";
static PyObject *__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_49predict_proba(PyObject *__pyx_v_self, PyObject *__pyx_v_sequence) {
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 *     cdef void _predict_log_proba(self, double* sequence, double* r, int n,             # <<<<<<<<<<<<<<
 *         double* emissions) nogil:
 *         cdef int i, k, l, li
 */

static void __pyx_f_11pomegranate_3hmm_17HiddenMarkovModel__predict_log_proba(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, double *__pyx_v_sequence, double *__pyx_v_r, int __pyx_v_n, double *__pyx_v_emissions) {
  int __pyx_v_i;
  int __pyx_v_k;
  int __pyx_v_l;
  int __pyx_v_m;
  int __pyx_v_dim;
  double __pyx_v_log_sequence_probability;
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  double *__pyx_v_e;
  void **__pyx_v_distributions;
  __Pyx_RefNannyDeclarations
  int __pyx_t_1;
  void **__pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;
  int __pyx_t_5;
  int __pyx_t_6;
  int __pyx_t_7;
  int __pyx_t_8;
  PyObject *__pyx_t_9 = NULL;
  PyObject *__pyx_t_10 = NULL;
  int __pyx_t_11;
  Py_ssize_t __pyx_t_12;
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  /* "pomegranate/hmm.pyx":2219
 *     cdef void _predict_log_proba(self, double* sequence, double* r, int n,
 *         double* emissions) nogil:
 *         cdef int i, k, l, li             # <<<<<<<<<<<<<<
 *         cdef int m = self.n_states, dim = self.d
 *         cdef double log_sequence_probability
 */
  /*try:*/ {

    /* "pomegranate/hmm.pyx":2220
 *         double* emissions) nogil:
 *         cdef int i, k, l, li
 *         cdef int m = self.n_states, dim = self.d             # <<<<<<<<<<<<<<
 *         cdef double log_sequence_probability
 *         cdef double* f
 */
    __pyx_t_1 = __pyx_v_self->__pyx_base.n_states;
    __pyx_v_m = __pyx_t_1;
    __pyx_t_1 = __pyx_v_self->__pyx_base.__pyx_base.d;
    __pyx_v_dim = __pyx_t_1;

    /* "pomegranate/hmm.pyx":2225
 *         cdef double* b
 *         cdef double* e
 *         cdef void** distributions = self.distributions_ptr             # <<<<<<<<<<<<<<
 * 
 *         if emissions is NULL:
 */
    __pyx_t_2 = __pyx_v_self->distributions_ptr;
    __pyx_v_distributions = __pyx_t_2;

    /* "pomegranate/hmm.pyx":2227
 *         cdef void** distributions = self.distributions_ptr
 * 
 *         if emissions is NULL:             # <<<<<<<<<<<<<<
 *             e = <double*> malloc(n*self.silent_start*sizeof(double))
 *             for l in range(self.silent_start):
 */
    __pyx_t_3 = ((__pyx_v_emissions == NULL) != 0);
    if (__pyx_t_3) {

      /* "pomegranate/hmm.pyx":2228
 * 
 *         if emissions is NULL:
 *             e = <double*> malloc(n*self.silent_start*sizeof(double))             # <<<<<<<<<<<<<<
 *             for l in range(self.silent_start):
 *                 for i in range(n):
 */
      __pyx_v_e = ((double *)malloc(((__pyx_v_n * __pyx_v_self->silent_start) * (sizeof(double)))));

      /* "pomegranate/hmm.pyx":2229
 *         if emissions is NULL:
 *             e = <double*> malloc(n*self.silent_start*sizeof(double))
 *             for l in range(self.silent_start):             # <<<<<<<<<<<<<<
 *                 for i in range(n):
 *                     if self.cython == 1:
 */
      __pyx_t_1 = __pyx_v_self->silent_start;
      __pyx_t_4 = __pyx_t_1;
      for (__pyx_t_5 = 0; __pyx_t_5 < __pyx_t_4; __pyx_t_5+=1) {
        __pyx_v_l = __pyx_t_5;

        /* "pomegranate/hmm.pyx":2230
 *             e = <double*> malloc(n*self.silent_start*sizeof(double))
 *             for l in range(self.silent_start):
 *                 for i in range(n):             # <<<<<<<<<<<<<<
 *                     if self.cython == 1:
 *                         (<Model> distributions[l])._log_probability(sequence+i*dim, e+l*n+i, 1)
 */
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        for (__pyx_t_8 = 0; __pyx_t_8 < __pyx_t_7; __pyx_t_8+=1) {
          __pyx_v_i = __pyx_t_8;

          /* "pomegranate/hmm.pyx":2231
 *             for l in range(self.silent_start):
 *                 for i in range(n):
 *                     if self.cython == 1:             # <<<<<<<<<<<<<<
 *                         (<Model> distributions[l])._log_probability(sequence+i*dim, e+l*n+i, 1)
 *                     else:
 */
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 *                 for i in range(n):
 *                     if self.cython == 1:
 *                         (<Model> distributions[l])._log_probability(sequence+i*dim, e+l*n+i, 1)             # <<<<<<<<<<<<<<
 *                     else:
 *                         with gil:
 */
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            /* "pomegranate/hmm.pyx":2231
 *             for l in range(self.silent_start):
 *                 for i in range(n):
 *                     if self.cython == 1:             # <<<<<<<<<<<<<<
 *                         (<Model> distributions[l])._log_probability(sequence+i*dim, e+l*n+i, 1)
 *                     else:
 */
            goto __pyx_L11;
          }

          /* "pomegranate/hmm.pyx":2234
 *                         (<Model> distributions[l])._log_probability(sequence+i*dim, e+l*n+i, 1)
 *                     else:
 *                         with gil:             # <<<<<<<<<<<<<<
 *                             python_log_probability(self.distributions[l], sequence+i*dim, e+l*n+i, 1)
 * 
 */
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                PyGILState_STATE __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
                #endif
                /*try:*/ {

                  /* "pomegranate/hmm.pyx":2235
 *                     else:
 *                         with gil:
 *                             python_log_probability(self.distributions[l], sequence+i*dim, e+l*n+i, 1)             # <<<<<<<<<<<<<<
 * 
 *                     e[l*n + i] += self.state_weights[l]
 */
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                }

                /* "pomegranate/hmm.pyx":2234
 *                         (<Model> distributions[l])._log_probability(sequence+i*dim, e+l*n+i, 1)
 *                     else:
 *                         with gil:             # <<<<<<<<<<<<<<
 *                             python_log_probability(self.distributions[l], sequence+i*dim, e+l*n+i, 1)
 * 
 */
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                  /*normal exit:*/{
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                    __Pyx_PyGILState_Release(__pyx_gilstate_save);
                    #endif
                    goto __pyx_L16;
                  }
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                    __Pyx_PyGILState_Release(__pyx_gilstate_save);
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                    goto __pyx_L4_error;
                  }
                  __pyx_L16:;
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            }
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          __pyx_L11:;

          /* "pomegranate/hmm.pyx":2237
 *                             python_log_probability(self.distributions[l], sequence+i*dim, e+l*n+i, 1)
 * 
 *                     e[l*n + i] += self.state_weights[l]             # <<<<<<<<<<<<<<
 *         else:
 *             e = emissions
 */
          __pyx_t_11 = ((__pyx_v_l * __pyx_v_n) + __pyx_v_i);
          if (unlikely(!__pyx_v_self->state_weights.memview)) {PyErr_SetString(PyExc_AttributeError,"Memoryview is not initialized");__PYX_ERR(0, 2237, __pyx_L4_error)}
          __pyx_t_12 = __pyx_v_l;
          if (__pyx_t_12 < 0) __pyx_t_12 += __pyx_v_self->state_weights.shape[0];
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        }
      }

      /* "pomegranate/hmm.pyx":2227
 *         cdef void** distributions = self.distributions_ptr
 * 
 *         if emissions is NULL:             # <<<<<<<<<<<<<<
 *             e = <double*> malloc(n*self.silent_start*sizeof(double))
 *             for l in range(self.silent_start):
 */
      goto __pyx_L6;
    }

    /* "pomegranate/hmm.pyx":2239
 *                     e[l*n + i] += self.state_weights[l]
 *         else:
 *             e = emissions             # <<<<<<<<<<<<<<
 * 
 *         # Fill in both the F and B DP matrices.
 */
    /*else*/ {
      __pyx_v_e = __pyx_v_emissions;
    }
    __pyx_L6:;

    /* "pomegranate/hmm.pyx":2242
 * 
 *         # Fill in both the F and B DP matrices.
 *         f = self._forward(sequence, n, emissions)             # <<<<<<<<<<<<<<
 *         b = self._backward(sequence, n, emissions)
 * 
 */
    __pyx_v_f = ((struct __pyx_vtabstruct_11pomegranate_3hmm_HiddenMarkovModel *)__pyx_v_self->__pyx_base.__pyx_base.__pyx_vtab)->_forward(__pyx_v_self, __pyx_v_sequence, __pyx_v_n, __pyx_v_emissions);

    /* "pomegranate/hmm.pyx":2243
 *         # Fill in both the F and B DP matrices.
 *         f = self._forward(sequence, n, emissions)
 *         b = self._backward(sequence, n, emissions)             # <<<<<<<<<<<<<<
 * 
 *         # Find out the probability of the sequence
 */
    __pyx_v_b = ((struct __pyx_vtabstruct_11pomegranate_3hmm_HiddenMarkovModel *)__pyx_v_self->__pyx_base.__pyx_base.__pyx_vtab)->_backward(__pyx_v_self, __pyx_v_sequence, __pyx_v_n, __pyx_v_emissions);

    /* "pomegranate/hmm.pyx":2246
 * 
 *         # Find out the probability of the sequence
 *         if self.finite == 1:             # <<<<<<<<<<<<<<
 *             log_sequence_probability = f[n*m + self.end_index]
 *         else:
 */
    __pyx_t_3 = ((__pyx_v_self->finite == 1) != 0);
    if (__pyx_t_3) {

      /* "pomegranate/hmm.pyx":2247
 *         # Find out the probability of the sequence
 *         if self.finite == 1:
 *             log_sequence_probability = f[n*m + self.end_index]             # <<<<<<<<<<<<<<
 *         else:
 *             log_sequence_probability = NEGINF
 */
      __pyx_v_log_sequence_probability = (__pyx_v_f[((__pyx_v_n * __pyx_v_m) + __pyx_v_self->end_index)]);

      /* "pomegranate/hmm.pyx":2246
 * 
 *         # Find out the probability of the sequence
 *         if self.finite == 1:             # <<<<<<<<<<<<<<
 *             log_sequence_probability = f[n*m + self.end_index]
 *         else:
 */
      goto __pyx_L17;
    }

    /* "pomegranate/hmm.pyx":2249
 *             log_sequence_probability = f[n*m + self.end_index]
 *         else:
 *             log_sequence_probability = NEGINF             # <<<<<<<<<<<<<<
 *             for i in range(self.silent_start):
 *                 log_sequence_probability = pair_lse(
 */
    /*else*/ {
      __pyx_v_log_sequence_probability = (-Py_HUGE_VAL);

      /* "pomegranate/hmm.pyx":2250
 *         else:
 *             log_sequence_probability = NEGINF
 *             for i in range(self.silent_start):             # <<<<<<<<<<<<<<
 *                 log_sequence_probability = pair_lse(
 *                     log_sequence_probability, f[n*m + i])
 */
      __pyx_t_1 = __pyx_v_self->silent_start;
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        __pyx_v_i = __pyx_t_5;

        /* "pomegranate/hmm.pyx":2251
 *             log_sequence_probability = NEGINF
 *             for i in range(self.silent_start):
 *                 log_sequence_probability = pair_lse(             # <<<<<<<<<<<<<<
 *                     log_sequence_probability, f[n*m + i])
 * 
 */
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    __pyx_L17:;

    /* "pomegranate/hmm.pyx":2255
 * 
 *         # Is the sequence impossible? If so, don't bother calculating any more.
 *         if log_sequence_probability == NEGINF:             # <<<<<<<<<<<<<<
 *             with gil:
 *                 print("Warning: Sequence is impossible.")
 */
    __pyx_t_3 = ((__pyx_v_log_sequence_probability == (-Py_HUGE_VAL)) != 0);
    if (__pyx_t_3) {

      /* "pomegranate/hmm.pyx":2256
 *         # Is the sequence impossible? If so, don't bother calculating any more.
 *         if log_sequence_probability == NEGINF:
 *             with gil:             # <<<<<<<<<<<<<<
 *                 print("Warning: Sequence is impossible.")
 * 
 */
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            /* "pomegranate/hmm.pyx":2257
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 *             with gil:
 *                 print("Warning: Sequence is impossible.")             # <<<<<<<<<<<<<<
 * 
 *         for k in range(m):
 */
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          }

          /* "pomegranate/hmm.pyx":2256
 *         # Is the sequence impossible? If so, don't bother calculating any more.
 *         if log_sequence_probability == NEGINF:
 *             with gil:             # <<<<<<<<<<<<<<
 *                 print("Warning: Sequence is impossible.")
 * 
 */
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              __Pyx_PyGILState_Release(__pyx_gilstate_save);
              #endif
              goto __pyx_L23;
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              __Pyx_PyGILState_Release(__pyx_gilstate_save);
              #endif
              goto __pyx_L4_error;
            }
            __pyx_L23:;
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      }

      /* "pomegranate/hmm.pyx":2255
 * 
 *         # Is the sequence impossible? If so, don't bother calculating any more.
 *         if log_sequence_probability == NEGINF:             # <<<<<<<<<<<<<<
 *             with gil:
 *                 print("Warning: Sequence is impossible.")
 */
    }

    /* "pomegranate/hmm.pyx":2259
 *                 print("Warning: Sequence is impossible.")
 * 
 *         for k in range(m):             # <<<<<<<<<<<<<<
 *             if k < self.silent_start:
 *                 for i in range(n):
 */
    __pyx_t_1 = __pyx_v_m;
    __pyx_t_4 = __pyx_t_1;
    for (__pyx_t_5 = 0; __pyx_t_5 < __pyx_t_4; __pyx_t_5+=1) {
      __pyx_v_k = __pyx_t_5;

      /* "pomegranate/hmm.pyx":2260
 * 
 *         for k in range(m):
 *             if k < self.silent_start:             # <<<<<<<<<<<<<<
 *                 for i in range(n):
 *                     # For each symbol that came out
 */
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      if (__pyx_t_3) {

        /* "pomegranate/hmm.pyx":2261
 *         for k in range(m):
 *             if k < self.silent_start:
 *                 for i in range(n):             # <<<<<<<<<<<<<<
 *                     # For each symbol that came out
 *                     # What's the weight of this symbol for that state?
 */
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        __pyx_t_7 = __pyx_t_6;
        for (__pyx_t_8 = 0; __pyx_t_8 < __pyx_t_7; __pyx_t_8+=1) {
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 *                     # docs/HTKBook/node7_mn.html, we really should divide by
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 *                         log_sequence_probability
 * 
 */
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        /* "pomegranate/hmm.pyx":2260
 * 
 *         for k in range(m):
 *             if k < self.silent_start:             # <<<<<<<<<<<<<<
 *                 for i in range(n):
 *                     # For each symbol that came out
 */
      }
    }

    /* "pomegranate/hmm.pyx":2275
 *                         log_sequence_probability
 * 
 *         free(f)             # <<<<<<<<<<<<<<
 *         free(b)
 *         free(e)
 */
    free(__pyx_v_f);

    /* "pomegranate/hmm.pyx":2276
 * 
 *         free(f)
 *         free(b)             # <<<<<<<<<<<<<<
 *         free(e)
 * 
 */
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    /* "pomegranate/hmm.pyx":2277
 *         free(f)
 *         free(b)
 *         free(e)             # <<<<<<<<<<<<<<
 * 
 *     def predict(self, sequence, algorithm='map'):
 */
    free(__pyx_v_e);
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 *     cdef void _predict_log_proba(self, double* sequence, double* r, int n,
 *         double* emissions) nogil:
 *         cdef int i, k, l, li             # <<<<<<<<<<<<<<
 *         cdef int m = self.n_states, dim = self.d
 *         cdef double log_sequence_probability
 */
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      __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
      #endif
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      #endif
      goto __pyx_L1_error;
    }
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  /* "pomegranate/hmm.pyx":2217
 *         return r_ndarray
 * 
 *     cdef void _predict_log_proba(self, double* sequence, double* r, int n,             # <<<<<<<<<<<<<<
 *         double* emissions) nogil:
 *         cdef int i, k, l, li
 */

  /* function exit code */
  goto __pyx_L0;
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_9);
  __Pyx_XDECREF(__pyx_t_10);
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/* "pomegranate/hmm.pyx":2279
 *         free(e)
 * 
 *     def predict(self, sequence, algorithm='map'):             # <<<<<<<<<<<<<<
 *         """Calculate the most likely state for each observation.
 * 
 */

/* Python wrapper */
static PyObject *__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_53predict(PyObject *__pyx_v_self, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_52predict[] = "Calculate the most likely state for each observation.\n\n        This can be either the Viterbi algorithm or maximum a posteriori. It\n        returns the probability of the sequence under that state sequence and\n        the actual state sequence.\n\n        This is a sklearn wrapper for the Viterbi and maximum_a_posteriori methods.\n\n        Parameters\n        ----------\n        sequence : array-like\n            An array (or list) of observations.\n\n        algorithm : \"map\", \"viterbi\"\n            The algorithm with which to decode the sequence\n\n        Returns\n        -------\n        path : list of integers\n            A list of the ids of states along the MAP or the Viterbi path.\n        ";
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static char __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_56fit[] = "Fit the model to data using either Baum-Welch, Viterbi, or supervised training.\n\n        Given a list of sequences, performs re-estimation on the model\n        parameters. The two supported algorithms are \"baum-welch\", \"viterbi\",\n        and \"labeled\", indicating their respective algorithm. \"labeled\"\n        corresponds to supervised learning that requires passing in a matching\n        list of labels for each symbol seen in the sequences.\n\n        Training supports a wide variety of other options including using\n        edge pseudocounts and either edge or distribution inertia.\n\n        Parameters\n        ----------\n        sequences : array-like\n            An array of some sort (list, numpy.ndarray, tuple..) of sequences,\n            where each sequence is a numpy array, which is 1 dimensional if\n            the HMM is a one dimensional array, or multidimensional if the HMM\n            supports multiple dimensions.\n\n        weights : array-like or None, optional\n            An array of weights, one for each sequence to train on. If None,\n            all sequences are equally weighted. Default is None.\n\n        labels : array-like or None, optional\n            An array of state labels for each sequence. This is only used in\n            'labeled' training. If used this must be comprised of n lists where\n            n is the number of sequences to train on, and each of those lists\n            must have one label per observation. A None in this list corresponds\n            to no labels for the entire sequence and triggers semi-supervised\n            learning, where the labeled sequences are summarized using labeled\n            fitting and the unlabeled are summarized using the specified algorithm.\n            Default is None.\n\n        stop_threshold : double, optional\n            The threshold the improvement ratio of the models log probability\n            in fitting the scores. Default is 1e-9.\n\n        min_iterations : in""t, optional\n            The minimum number of iterations to run Baum-Welch training for.\n            Default is 0.\n\n        max_iterations : int, optional\n            The maximum number of iterations to run Baum-Welch training for.\n            Default is 1e8.\n\n        algorithm : 'baum-welch', 'viterbi', 'labeled'\n            The training algorithm to use. Baum-Welch uses the forward-backward\n            algorithm to train using a version of structured EM. Viterbi\n            iteratively runs the sequences through the Viterbi algorithm and\n            then uses hard assignments of observations to states using that.\n            Default is 'baum-welch'. Labeled training requires that labels\n            are provided for each observation in each sequence.\n\n        pseudocount : double, optional\n            A pseudocount to add to both transitions and emissions. If supplied,\n            it will override both transition_pseudocount and emission_pseudocount\n            in the same way that specifying `inertia` will override both\n            `edge_inertia` and `distribution_inertia`. Default is None.\n\n        transition_pseudocount : double, optional\n            A pseudocount to add to all transitions to add a prior to the\n            MLE estimate of the transition probability. Default is 0.\n\n        emission_pseudocount : double, optional\n            A pseudocount to add to the emission of each distribution. This\n            effectively smoothes the states to prevent 0. probability symbols\n            if they don't happen to occur in the data. Only effects hidden\n            Markov models defined over discrete distributions. Default is 0.\n\n        use_pseudocount : bool, optional\n            Whether to use the pseudocounts defined in the `add_edge` method\n            for edge-specific pseudocounts when updating the transition\n            probability parameters. Does not effect the `transition_pseudocount`\n            and `emission_pseudo""count` parameters, but can be used in addition\n            to them. Default is False.\n\n        inertia : double or None, optional, range [0, 1]\n            If double, will set both edge_inertia and distribution_inertia to\n            be that value. If None, will not override those values. Default is\n            None.\n\n        edge_inertia : bool, optional, range [0, 1]\n            Whether to use inertia when updating the transition probability\n            parameters. Default is 0.0.\n\n        distribution_inertia : double, optional, range [0, 1]\n            Whether to use inertia when updating the distribution parameters.\n            Default is 0.0.\n\n        batches_per_epoch : int or None, optional\n            The number of batches in an epoch. This is the number of batches to\n            summarize before calling `from_summaries` and updating the model\n            parameters. This allows one to do minibatch updates by updating the\n            model parameters before setting the full dataset. If set to None,\n            uses the full dataset. Default is None.\n\n        lr_decay : double, optional, positive\n            The step size decay as a function of the number of iterations.\n            Functionally, this sets the inertia to be (2+k)^{-lr_decay}\n            where k is the number of iterations. This causes initial\n            iterations to have more of an impact than later iterations,\n            and is frequently used in minibatch learning. This value is\n            suggested to be between 0.5 and 1. Default is 0, meaning no\n            decay.\n\n        callbacks : list, optional\n            A list of callback objects that describe functionality that should\n            be undertaken over the course of training.\n\n        return_history : bool, optional\n            Whether to return the history during training as well as the model.\n\n        verbose : bool, optional\n            Whether to print the improvement in the model fitt""ing at each\n            iteration. Default is True.\n\n        n_jobs : int, optional\n            The number of threads to use when performing training. This\n            leads to exact updates. Default is 1.\n\n        multiple_check_input : bool, optional\n            Whether to check and transcode input at each iteration. This\n            leads to copying whole input data in each iteration. Which \n            can introduce significant overhead (up to 2 times slower) so \n            should be turned off when you know that data won't be changed \n            between fitting iteration. Default is True.\n\n        Returns\n        -------\n        improvement : HiddenMarkovModel\n            The trained model itself.\n        ";
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/* "pomegranate/hmm.pyx":2760
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 * 
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 *         int column_idx, int d) nogil:
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 */

static double __pyx_f_11pomegranate_3hmm_17HiddenMarkovModel__summarize(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, double *__pyx_v_sequence, double *__pyx_v_weight, int __pyx_v_n, CYTHON_UNUSED int __pyx_v_column_idx, int __pyx_v_d) {
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 * 
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 */
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 * 
 *         cdef int i, k, l, li
 *         cdef int m = self.n_states             # <<<<<<<<<<<<<<
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 *         cdef void** distributions = self.distributions_ptr
 */
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 * 
 *         cdef void** distributions = self.distributions_ptr             # <<<<<<<<<<<<<<
 * 
 *         cdef double log_sequence_probability
 */
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 *         cdef double log_transition_emission_probability_sum
 * 
 *         cdef double* expected_transitions = <double*> calloc(self.n_edges, sizeof(double))             # <<<<<<<<<<<<<<
 *         cdef double* f
 *         cdef double* b
 */
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 *         cdef double* e
 * 
 *         cdef int* tied_edges = self.tied_edge_group_size             # <<<<<<<<<<<<<<
 *         cdef int* tied_states = self.tied_state_count
 *         cdef int* out_edges = self.out_edge_count
 */
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    /* "pomegranate/hmm.pyx":2778
 * 
 *         cdef int* tied_edges = self.tied_edge_group_size
 *         cdef int* tied_states = self.tied_state_count             # <<<<<<<<<<<<<<
 *         cdef int* out_edges = self.out_edge_count
 * 
 */
    __pyx_t_3 = __pyx_v_self->tied_state_count;
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    /* "pomegranate/hmm.pyx":2779
 *         cdef int* tied_edges = self.tied_edge_group_size
 *         cdef int* tied_states = self.tied_state_count
 *         cdef int* out_edges = self.out_edge_count             # <<<<<<<<<<<<<<
 * 
 *         cdef double* weights = <double*> calloc(n, sizeof(double))
 */
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    /* "pomegranate/hmm.pyx":2781
 *         cdef int* out_edges = self.out_edge_count
 * 
 *         cdef double* weights = <double*> calloc(n, sizeof(double))             # <<<<<<<<<<<<<<
 * 
 *         e = <double*> malloc(n*self.silent_start*sizeof(double))
 */
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    /* "pomegranate/hmm.pyx":2783
 *         cdef double* weights = <double*> calloc(n, sizeof(double))
 * 
 *         e = <double*> malloc(n*self.silent_start*sizeof(double))             # <<<<<<<<<<<<<<
 *         for l in range(self.silent_start):
 *             for i in range(n):
 */
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    /* "pomegranate/hmm.pyx":2784
 * 
 *         e = <double*> malloc(n*self.silent_start*sizeof(double))
 *         for l in range(self.silent_start):             # <<<<<<<<<<<<<<
 *             for i in range(n):
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 */
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      /* "pomegranate/hmm.pyx":2785
 *         e = <double*> malloc(n*self.silent_start*sizeof(double))
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 *             for i in range(n):             # <<<<<<<<<<<<<<
 *                 if self.cython == 1:
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 */
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 *         for l in range(self.silent_start):
 *             for i in range(n):
 *                 if self.cython == 1:             # <<<<<<<<<<<<<<
 *                     (<Model> distributions[l])._log_probability(sequence+i*d, e+l*n+i, 1)
 *                 else:
 */
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 *             for i in range(n):
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 *                     with gil:
 */
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 *         for l in range(self.silent_start):
 *             for i in range(n):
 *                 if self.cython == 1:             # <<<<<<<<<<<<<<
 *                     (<Model> distributions[l])._log_probability(sequence+i*d, e+l*n+i, 1)
 *                 else:
 */
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 *                     (<Model> distributions[l])._log_probability(sequence+i*d, e+l*n+i, 1)
 *                 else:
 *                     with gil:             # <<<<<<<<<<<<<<
 *                         python_log_probability(self.distributions[l], sequence+i*d, e+l*n+i, 1)
 * 
 */
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 * 
 *                 e[l*n + i] += self.state_weights[l]
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 *                     (<Model> distributions[l])._log_probability(sequence+i*d, e+l*n+i, 1)
 *                 else:
 *                     with gil:             # <<<<<<<<<<<<<<
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 * 
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 *                         python_log_probability(self.distributions[l], sequence+i*d, e+l*n+i, 1)
 * 
 *                 e[l*n + i] += self.state_weights[l]             # <<<<<<<<<<<<<<
 * 
 *         f = self._forward(sequence, n, e)
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 *                 e[l*n + i] += self.state_weights[l]
 * 
 *         f = self._forward(sequence, n, e)             # <<<<<<<<<<<<<<
 *         b = self._backward(sequence, n, e)
 * 
 */
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 * 
 *         f = self._forward(sequence, n, e)
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 * 
 *         if self.finite == 1:
 */
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 *         b = self._backward(sequence, n, e)
 * 
 *         if self.finite == 1:             # <<<<<<<<<<<<<<
 *             log_sequence_probability = f[n*m + self.end_index]
 *         else:
 */
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 * 
 *         if self.finite == 1:
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 *         else:
 *             log_sequence_probability = NEGINF
 */
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 *         b = self._backward(sequence, n, e)
 * 
 *         if self.finite == 1:             # <<<<<<<<<<<<<<
 *             log_sequence_probability = f[n*m + self.end_index]
 *         else:
 */
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 *             log_sequence_probability = f[n*m + self.end_index]
 *         else:
 *             log_sequence_probability = NEGINF             # <<<<<<<<<<<<<<
 *             for i in range(self.silent_start):
 *                 log_sequence_probability = pair_lse(f[n*m + i],
 */
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      /* "pomegranate/hmm.pyx":2801
 *         else:
 *             log_sequence_probability = NEGINF
 *             for i in range(self.silent_start):             # <<<<<<<<<<<<<<
 *                 log_sequence_probability = pair_lse(f[n*m + i],
 *                     log_sequence_probability)
 */
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        /* "pomegranate/hmm.pyx":2802
 *             log_sequence_probability = NEGINF
 *             for i in range(self.silent_start):
 *                 log_sequence_probability = pair_lse(f[n*m + i],             # <<<<<<<<<<<<<<
 *                     log_sequence_probability)
 * 
 */
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    __pyx_L16:;

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 *         # Is the sequence impossible? If so, we can't train on it, so skip
 *         # it
 *         if log_sequence_probability != NEGINF:             # <<<<<<<<<<<<<<
 *             for k in range(m):
 *                 # For each state we could have come from
 */
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      /* "pomegranate/hmm.pyx":2808
 *         # it
 *         if log_sequence_probability != NEGINF:
 *             for k in range(m):             # <<<<<<<<<<<<<<
 *                 # For each state we could have come from
 *                 for l in range(out_edges[k], out_edges[k+1]):
 */
      __pyx_t_1 = __pyx_v_m;
      __pyx_t_4 = __pyx_t_1;
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        __pyx_v_k = __pyx_t_5;

        /* "pomegranate/hmm.pyx":2810
 *             for k in range(m):
 *                 # For each state we could have come from
 *                 for l in range(out_edges[k], out_edges[k+1]):             # <<<<<<<<<<<<<<
 *                     li = self.out_transitions[l]
 *                     if li >= self.silent_start:
 */
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          __pyx_v_l = __pyx_t_8;

          /* "pomegranate/hmm.pyx":2811
 *                 # For each state we could have come from
 *                 for l in range(out_edges[k], out_edges[k+1]):
 *                     li = self.out_transitions[l]             # <<<<<<<<<<<<<<
 *                     if li >= self.silent_start:
 *                         continue
 */
          __pyx_v_li = (__pyx_v_self->out_transitions[__pyx_v_l]);

          /* "pomegranate/hmm.pyx":2812
 *                 for l in range(out_edges[k], out_edges[k+1]):
 *                     li = self.out_transitions[l]
 *                     if li >= self.silent_start:             # <<<<<<<<<<<<<<
 *                         continue
 * 
 */
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            /* "pomegranate/hmm.pyx":2813
 *                     li = self.out_transitions[l]
 *                     if li >= self.silent_start:
 *                         continue             # <<<<<<<<<<<<<<
 * 
 *                     # For each state we could go to (and emit a character)
 */
            goto __pyx_L22_continue;

            /* "pomegranate/hmm.pyx":2812
 *                 for l in range(out_edges[k], out_edges[k+1]):
 *                     li = self.out_transitions[l]
 *                     if li >= self.silent_start:             # <<<<<<<<<<<<<<
 *                         continue
 * 
 */
          }

          /* "pomegranate/hmm.pyx":2818
 *                     # Sum up probabilities that we later normalize by
 *                     # probability of sequence.
 *                     log_transition_emission_probability_sum = NEGINF             # <<<<<<<<<<<<<<
 *                     for i in range(n):
 *                         # For each character in the sequence
 */
          __pyx_v_log_transition_emission_probability_sum = (-Py_HUGE_VAL);

          /* "pomegranate/hmm.pyx":2819
 *                     # probability of sequence.
 *                     log_transition_emission_probability_sum = NEGINF
 *                     for i in range(n):             # <<<<<<<<<<<<<<
 *                         # For each character in the sequence
 *                         # Add probability that we start and get up to state k,
 */
          __pyx_t_12 = __pyx_v_n;
          __pyx_t_14 = __pyx_t_12;
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            __pyx_v_i = __pyx_t_15;

            /* "pomegranate/hmm.pyx":2824
 *                         # and go k->l, and emit the symbol from l, and go from l
 *                         # to the end.
 *                         log_transition_emission_probability_sum = pair_lse(             # <<<<<<<<<<<<<<
 *                             log_transition_emission_probability_sum,
 *                             f[i*m + k] +
 */
            __pyx_v_log_transition_emission_probability_sum = __pyx_f_11pomegranate_5utils_pair_lse(__pyx_v_log_transition_emission_probability_sum, ((((__pyx_v_f[((__pyx_v_i * __pyx_v_m) + __pyx_v_k)]) + (__pyx_v_self->out_transition_log_probabilities[__pyx_v_l])) + (__pyx_v_e[(__pyx_v_i + (__pyx_v_li * __pyx_v_n))])) + (__pyx_v_b[(((__pyx_v_i + 1) * __pyx_v_m) + __pyx_v_li)])));
          }

          /* "pomegranate/hmm.pyx":2833
 *                     # this sequence, and add as this sequence's contribution to
 *                     # the expected transitions matrix's k, l entry.
 *                     expected_transitions[l] += cexp(             # <<<<<<<<<<<<<<
 *                         log_transition_emission_probability_sum -
 *                         log_sequence_probability)
 */
          __pyx_t_12 = __pyx_v_l;

          /* "pomegranate/hmm.pyx":2834
 *                     # the expected transitions matrix's k, l entry.
 *                     expected_transitions[l] += cexp(
 *                         log_transition_emission_probability_sum -             # <<<<<<<<<<<<<<
 *                         log_sequence_probability)
 * 
 */
          (__pyx_v_expected_transitions[__pyx_t_12]) = ((__pyx_v_expected_transitions[__pyx_t_12]) + exp((__pyx_v_log_transition_emission_probability_sum - __pyx_v_log_sequence_probability)));
          __pyx_L22_continue:;
        }

        /* "pomegranate/hmm.pyx":2837
 *                         log_sequence_probability)
 * 
 *                 for l in range(out_edges[k], out_edges[k+1]):             # <<<<<<<<<<<<<<
 *                     li = self.out_transitions[l]
 *                     if li < self.silent_start:
 */
        __pyx_t_6 = (__pyx_v_out_edges[(__pyx_v_k + 1)]);
        __pyx_t_7 = __pyx_t_6;
        for (__pyx_t_8 = (__pyx_v_out_edges[__pyx_v_k]); __pyx_t_8 < __pyx_t_7; __pyx_t_8+=1) {
          __pyx_v_l = __pyx_t_8;

          /* "pomegranate/hmm.pyx":2838
 * 
 *                 for l in range(out_edges[k], out_edges[k+1]):
 *                     li = self.out_transitions[l]             # <<<<<<<<<<<<<<
 *                     if li < self.silent_start:
 *                         continue
 */
          __pyx_v_li = (__pyx_v_self->out_transitions[__pyx_v_l]);

          /* "pomegranate/hmm.pyx":2839
 *                 for l in range(out_edges[k], out_edges[k+1]):
 *                     li = self.out_transitions[l]
 *                     if li < self.silent_start:             # <<<<<<<<<<<<<<
 *                         continue
 *                     # For each silent state we can go to on the same character
 */
          __pyx_t_9 = ((__pyx_v_li < __pyx_v_self->silent_start) != 0);
          if (__pyx_t_9) {

            /* "pomegranate/hmm.pyx":2840
 *                     li = self.out_transitions[l]
 *                     if li < self.silent_start:
 *                         continue             # <<<<<<<<<<<<<<
 *                     # For each silent state we can go to on the same character
 *                     # Sum up probabilities that we later normalize by
 */
            goto __pyx_L27_continue;

            /* "pomegranate/hmm.pyx":2839
 *                 for l in range(out_edges[k], out_edges[k+1]):
 *                     li = self.out_transitions[l]
 *                     if li < self.silent_start:             # <<<<<<<<<<<<<<
 *                         continue
 *                     # For each silent state we can go to on the same character
 */
          }

          /* "pomegranate/hmm.pyx":2844
 *                     # Sum up probabilities that we later normalize by
 *                     # probability of sequence.
 *                     log_transition_emission_probability_sum = NEGINF             # <<<<<<<<<<<<<<
 *                     for i in range(n+1):
 *                         # For each row in the forward DP table (where we can
 */
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          /* "pomegranate/hmm.pyx":2845
 *                     # probability of sequence.
 *                     log_transition_emission_probability_sum = NEGINF
 *                     for i in range(n+1):             # <<<<<<<<<<<<<<
 *                         # For each row in the forward DP table (where we can
 *                         # have transitions to silent states) of which we have 1
 */
          __pyx_t_16 = (__pyx_v_n + 1);
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            __pyx_v_i = __pyx_t_12;

            /* "pomegranate/hmm.pyx":2854
 *                         # we use forward and backward entries from the same DP
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 *                         log_transition_emission_probability_sum = pair_lse(             # <<<<<<<<<<<<<<
 *                             log_transition_emission_probability_sum,
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 */
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          /* "pomegranate/hmm.pyx":2862
 *                     # this sequence, and add as this sequence's contribution to
 *                     # the expected transitions matrix's k, l entry.
 *                     expected_transitions[l] += cexp(             # <<<<<<<<<<<<<<
 *                         log_transition_emission_probability_sum -
 *                         log_sequence_probability)
 */
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          /* "pomegranate/hmm.pyx":2863
 *                     # the expected transitions matrix's k, l entry.
 *                     expected_transitions[l] += cexp(
 *                         log_transition_emission_probability_sum -             # <<<<<<<<<<<<<<
 *                         log_sequence_probability)
 * 
 */
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 *                         log_sequence_probability)
 * 
 *                 if k < self.silent_start:             # <<<<<<<<<<<<<<
 *                     for i in range(n):
 *                         # For each symbol that came out
 */
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          /* "pomegranate/hmm.pyx":2867
 * 
 *                 if k < self.silent_start:
 *                     for i in range(n):             # <<<<<<<<<<<<<<
 *                         # For each symbol that came out
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 */
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 *                         # docs/HTKBook/node7_mn.html, we really should divide by
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 */
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 * 
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 */
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            /* "pomegranate/hmm.pyx":2882
 * 
 *                     if self.cython == 0:
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 *                             python_summarize(self.distributions[k], sequence,
 *                                 weights, n)
 */
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 *                             python_summarize(self.distributions[k], sequence,             # <<<<<<<<<<<<<<
 *                                 weights, n)
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 *                     else:
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 *                     if self.cython == 0:
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 *                             python_summarize(self.distributions[k], sequence,
 *                                 weights, n)
 */
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 *                             log_sequence_probability) * weight[0]
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 *                     if self.cython == 0:             # <<<<<<<<<<<<<<
 *                         with gil:
 *                             python_summarize(self.distributions[k], sequence,
 */
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 *                                 weights, n)
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 * 
 */
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 *                         log_sequence_probability)
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 *                     for i in range(n):
 *                         # For each symbol that came out
 */
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 * 
 *             # Update the master expected transitions vector representing the sparse matrix.
 *             with gil:             # <<<<<<<<<<<<<<
 *                 for i in range(self.n_edges):
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 *             # Update the master expected transitions vector representing the sparse matrix.
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 *                 for i in range(self.n_edges):             # <<<<<<<<<<<<<<
 *                     self.expected_transitions[i] += expected_transitions[i] * weight[0]
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 */
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              /* "pomegranate/hmm.pyx":2892
 *             with gil:
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 *                     self.expected_transitions[i] += expected_transitions[i] * weight[0]             # <<<<<<<<<<<<<<
 * 
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 */
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 * 
 *             # Update the master expected transitions vector representing the sparse matrix.
 *             with gil:             # <<<<<<<<<<<<<<
 *                 for i in range(self.n_edges):
 *                     self.expected_transitions[i] += expected_transitions[i] * weight[0]
 */
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 */
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 *                     self.expected_transitions[i] += expected_transitions[i] * weight[0]
 * 
 *         self.summaries += 1             # <<<<<<<<<<<<<<
 * 
 *         free(expected_transitions)
 */
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    /* "pomegranate/hmm.pyx":2896
 *         self.summaries += 1
 * 
 *         free(expected_transitions)             # <<<<<<<<<<<<<<
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 *         free(weights)
 */
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    /* "pomegranate/hmm.pyx":2897
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 *         free(expected_transitions)
 *         free(e)             # <<<<<<<<<<<<<<
 *         free(weights)
 *         free(f)
 */
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 *         free(expected_transitions)
 *         free(e)
 *         free(weights)             # <<<<<<<<<<<<<<
 *         free(f)
 *         free(b)
 */
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 *         free(weights)
 *         free(f)             # <<<<<<<<<<<<<<
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 */
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 * 
 */
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    __pyx_v_transitions = ((double *)calloc((__pyx_v_m * __pyx_v_m), (sizeof(double))));

    /* "pomegranate/hmm.pyx":2982
 *         cdef double* transitions = <double*> calloc(m*m, sizeof(double))
 * 
 *         j = 0             # <<<<<<<<<<<<<<
 *         for i in range(1, n+m+1):
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 */
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    /* "pomegranate/hmm.pyx":2983
 * 
 *         j = 0
 *         for i in range(1, n+m+1):             # <<<<<<<<<<<<<<
 *             past = states[i-1]
 *             present = states[i]
 */
    __pyx_t_3 = ((__pyx_v_n + __pyx_v_m) + 1);
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      __pyx_v_i = __pyx_t_5;

      /* "pomegranate/hmm.pyx":2984
 *         j = 0
 *         for i in range(1, n+m+1):
 *             past = states[i-1]             # <<<<<<<<<<<<<<
 *             present = states[i]
 * 
 */
      __pyx_v_past = (__pyx_v_states[(__pyx_v_i - 1)]);

      /* "pomegranate/hmm.pyx":2985
 *         for i in range(1, n+m+1):
 *             past = states[i-1]
 *             present = states[i]             # <<<<<<<<<<<<<<
 * 
 *             if present == -1:
 */
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      /* "pomegranate/hmm.pyx":2987
 *             present = states[i]
 * 
 *             if present == -1:             # <<<<<<<<<<<<<<
 *                 break
 *             else:
 */
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        /* "pomegranate/hmm.pyx":2988
 * 
 *             if present == -1:
 *                 break             # <<<<<<<<<<<<<<
 *             else:
 *                 transitions[past*m + present] += weight
 */
        goto __pyx_L7_break;

        /* "pomegranate/hmm.pyx":2987
 *             present = states[i]
 * 
 *             if present == -1:             # <<<<<<<<<<<<<<
 *                 break
 *             else:
 */
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      /* "pomegranate/hmm.pyx":2990
 *                 break
 *             else:
 *                 transitions[past*m + present] += weight             # <<<<<<<<<<<<<<
 * 
 *             if present < self.silent_start:
 */
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      }

      /* "pomegranate/hmm.pyx":2992
 *                 transitions[past*m + present] += weight
 * 
 *             if present < self.silent_start:             # <<<<<<<<<<<<<<
 *                 if self.cython == 0:
 *                     with gil:
 */
      __pyx_t_6 = ((__pyx_v_present < __pyx_v_self->silent_start) != 0);
      if (__pyx_t_6) {

        /* "pomegranate/hmm.pyx":2993
 * 
 *             if present < self.silent_start:
 *                 if self.cython == 0:             # <<<<<<<<<<<<<<
 *                     with gil:
 *                         python_summarize(self.distributions[present], sequence+j*self.d,
 */
        __pyx_t_6 = ((__pyx_v_self->cython == 0) != 0);
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          /* "pomegranate/hmm.pyx":2994
 *             if present < self.silent_start:
 *                 if self.cython == 0:
 *                     with gil:             # <<<<<<<<<<<<<<
 *                         python_summarize(self.distributions[present], sequence+j*self.d,
 *                             &weight, 1)
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              PyGILState_STATE __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
              #endif
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                /* "pomegranate/hmm.pyx":2995
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 *                     with gil:
 *                         python_summarize(self.distributions[present], sequence+j*self.d,             # <<<<<<<<<<<<<<
 *                             &weight, 1)
 *                 else:
 */
                __pyx_t_8 = __Pyx_GetItemInt(((PyObject *)__pyx_v_self->distributions), __pyx_v_present, int, 1, __Pyx_PyInt_From_int, 0, 1, 0); if (unlikely(!__pyx_t_8)) __PYX_ERR(0, 2995, __pyx_L14_error)
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                /* "pomegranate/hmm.pyx":2996
 *                     with gil:
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 *                 else:
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 */
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 * 
 *             if present < self.silent_start:
 *                 if self.cython == 0:             # <<<<<<<<<<<<<<
 *                     with gil:
 *                         python_summarize(self.distributions[present], sequence+j*self.d,
 */
          goto __pyx_L10;
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        /* "pomegranate/hmm.pyx":2998
 *                             &weight, 1)
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 */
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 *                     (<Model> distributions[present])._summarize(sequence+j*self.d,
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 *                 j += 1             # <<<<<<<<<<<<<<
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 *         with gil:
 */
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        /* "pomegranate/hmm.pyx":2992
 *                 transitions[past*m + present] += weight
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 */
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 *                 j += 1
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 *         with gil:             # <<<<<<<<<<<<<<
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          /* "pomegranate/hmm.pyx":3003
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 */
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            /* "pomegranate/hmm.pyx":3004
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 *                     li = self.out_transitions[l]
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 */
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            for (__pyx_t_13 = (__pyx_v_out_edges[__pyx_v_k]); __pyx_t_13 < __pyx_t_12; __pyx_t_13+=1) {
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              /* "pomegranate/hmm.pyx":3005
 *             for k in range(m):
 *                 for l in range(out_edges[k], out_edges[k+1]):
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 *                     self.expected_transitions[l] += transitions[k*m + li]
 * 
 */
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              /* "pomegranate/hmm.pyx":3006
 *                 for l in range(out_edges[k], out_edges[k+1]):
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 *                     self.expected_transitions[l] += transitions[k*m + li]             # <<<<<<<<<<<<<<
 * 
 *         self.summaries += 1
 */
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        /* "pomegranate/hmm.pyx":3002
 *                 j += 1
 * 
 *         with gil:             # <<<<<<<<<<<<<<
 *             for k in range(m):
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 */
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            __Pyx_PyGILState_Release(__pyx_gilstate_save);
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    /* "pomegranate/hmm.pyx":3008
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 * 
 *         self.summaries += 1             # <<<<<<<<<<<<<<
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 */
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    /* "pomegranate/hmm.pyx":3009
 * 
 *         self.summaries += 1
 *         free(transitions)             # <<<<<<<<<<<<<<
 *         return 0
 * 
 */
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    /* "pomegranate/hmm.pyx":3010
 *         self.summaries += 1
 *         free(transitions)
 *         return 0             # <<<<<<<<<<<<<<
 * 
 *     def from_summaries(self, inertia=None, pseudocount=None,
 */
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    goto __pyx_L3_return;
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 * 
 *         This assumes that labels are passed in alongside the sequence and will
 */
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  /* "pomegranate/hmm.pyx":2966
 *         return self.log_probability(sequence_ndarray, check_input=False)
 * 
 *     cdef double __labeled_summarize(self, double* sequence, int* states,             # <<<<<<<<<<<<<<
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 */

  /* function exit code */
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/* "pomegranate/hmm.pyx":3012
 *         return 0
 * 
 *     def from_summaries(self, inertia=None, pseudocount=None,             # <<<<<<<<<<<<<<
 *         transition_pseudocount=0.0, emission_pseudocount=0.0,
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/* Python wrapper */
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static char __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_66from_summaries[] = "Fit the model to the stored summary statistics.\n\n        Parameters\n        ----------\n        inertia : double or None, optional\n            The inertia to use for both edges and distributions without\n            needing to set both of them. If None, use the values passed\n            in to those variables. Default is None.\n\n        pseudocount : double, optional\n            A pseudocount to add to both transitions and emissions. If supplied,\n            it will override both transition_pseudocount and emission_pseudocount\n            in the same way that specifying `inertia` will override both\n            `edge_inertia` and `distribution_inertia`. Default is None.\n\n        transition_pseudocount : double, optional\n            A pseudocount to add to all transitions to add a prior to the\n            MLE estimate of the transition probability. Default is 0.\n\n        emission_pseudocount : double, optional\n            A pseudocount to add to the emission of each distribution. This\n            effectively smoothes the states to prevent 0. probability symbols\n            if they don't happen to occur in the data. Only effects hidden\n            Markov models defined over discrete distributions. Default is 0.\n\n        use_pseudocount : bool, optional\n            Whether to use the pseudocounts defined in the `add_edge` method\n            for edge-specific pseudocounts when updating the transition\n            probability parameters. Does not effect the `transition_pseudocount`\n            and `emission_pseudocount` parameters, but can be used in addition\n            to them. Default is False.\n\n        edge_inertia : bool, optional, range [0, 1]\n            Whether to use inertia when updating the transition probability\n            parameters. Default is 0.0.\n\n        distribution_inertia : double, optional, range [0, 1]\n            Whether to use inertia when updating the distribution parameters.\n            Default is 0.0.\n\n       "" Returns\n        -------\n        None\n        ";
static PyObject *__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_67from_summaries(PyObject *__pyx_v_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
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 *         transition_pseudocount=0.0, emission_pseudocount=0.0,
 *         use_pseudocount=False, edge_inertia=0.0, distribution_inertia=0.0):             # <<<<<<<<<<<<<<
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 * 
 */
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  /* "pomegranate/hmm.pyx":3012
 *         return 0
 * 
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/* "pomegranate/hmm.pyx":3381
 * 
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 *         labels=None, algorithm='baum-welch', inertia=None, edge_inertia=0.0,
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static char __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_76from_samples[] = "Learn the transitions and emissions of a model directly from data.\n\n        This method will learn both the transition matrix, emission distributions,\n        and start probabilities for each state. This will only return a dense\n        graph without any silent states or explicit transitions to an end state.\n        Currently all components must be defined as the same distribution, but\n        soon this restriction will be removed.\n\n        If learning a multinomial HMM over discrete characters, the initial\n        emisison probabilities are initialized randomly. If learning a\n        continuous valued HMM, such as a Gaussian HMM, then kmeans clustering\n        is used first to identify initial clusters.\n\n        Regardless of the type of model, the transition matrix and start\n        probabilities are initialized uniformly. Then the specified learning\n        algorithm (Baum-Welch recommended) is used to refine the parameters\n        of the model.\n\n        Parameters\n        ----------\n        distribution : callable\n            The emission distribution of the components of the model.\n\n        n_components : int\n            The number of states (or components) to initialize.\n\n        X : array-like or generator\n            An array of some sort (list, numpy.ndarray, tuple..) of sequences,\n            where each sequence is a numpy array, which is 1 dimensional if\n            the HMM is a one dimensional array, or multidimensional if the HMM\n            supports multiple dimensions. Alternatively, a data generator\n            object that yields sequences.\n\n        weights : array-like or None, optional\n            An array of weights, one for each sequence to train on. If None,\n            all sequences are equally weighted. Default is None.\n\n        labels : array-like or None, optional\n            An array of state labels for each sequence. This is only used in\n            'labeled' training. If used this must be comprised o""f n lists where\n            n is the number of sequences to train on, and each of those lists\n            must have one label per observation. A None in this list corresponds\n            to no labels for the entire sequence and triggers semi-supervised\n            learning, where the labeled sequences are summarized using labeled\n            fitting and the unlabeled are summarized using the specified algorithm.\n            Default is None.\n\n        algorithm : 'baum-welch', 'viterbi', 'labeled'\n            The training algorithm to use. Baum-Welch uses the forward-backward\n            algorithm to train using a version of structured EM. Viterbi\n            iteratively runs the sequences through the Viterbi algorithm and\n            then uses hard assignments of observations to states using that.\n            Default is 'baum-welch'. Labeled training requires that labels\n            are provided for each observation in each sequence.\n\n        inertia : double or None, optional, range [0, 1]\n            If double, will set both edge_inertia and distribution_inertia to\n            be that value. If None, will not override those values. Default is\n            None.\n\n        edge_inertia : bool, optional, range [0, 1]\n            Whether to use inertia when updating the transition probability\n            parameters. Default is 0.0.\n\n        distribution_inertia : double, optional, range [0, 1]\n            Whether to use inertia when updating the distribution parameters.\n            Default is 0.0.\n\n        pseudocount : double, optional\n            A pseudocount to add to both transitions and emissions. If supplied,\n            it will override both transition_pseudocount and emission_pseudocount\n            in the same way that specifying `inertia` will override both\n            `edge_inertia` and `distribution_inertia`. Default is None.\n\n        transition_pseudocount : double, optional\n            A pseudocount to add to all transit""ions to add a prior to the\n            MLE estimate of the transition probability. Default is 0.\n\n        emission_pseudocount : double, optional\n            A pseudocount to add to the emission of each distribution. This\n            effectively smoothes the states to prevent 0. probability symbols\n            if they don't happen to occur in the data. Only effects hidden\n            Markov models defined over discrete distributions. Default is 0.\n\n        use_pseudocount : bool, optional\n            Whether to use the pseudocounts defined in the `add_edge` method\n            for edge-specific pseudocounts when updating the transition\n            probability parameters. Does not effect the `transition_pseudocount`\n            and `emission_pseudocount` parameters, but can be used in addition\n            to them. Default is False.\n\n        stop_threshold : double, optional\n            The threshold the improvement ratio of the models log probability\n            in fitting the scores. Default is 1e-9.\n\n        min_iterations : int, optional\n            The minimum number of iterations to run Baum-Welch training for.\n            Default is 0.\n\n        max_iterations : int, optional\n            The maximum number of iterations to run Baum-Welch training for.\n            Default is 1e8.\n\n        n_init : int, optional\n            The number of times to initialize the k-means clustering before\n            taking the best value. Default is 1.\n\n        init : str, optional\n            The initialization method for kmeans. Must be one of 'first-k',\n            'random', 'kmeans++', or 'kmeans||'. Default is kmeans++.\n\n        max_kmeans_iterations : int, optional\n            The number of iterations to run k-means for before starting EM.\n\n        initialization_batch_size : int or None, optional\n            The number of batches to use to initialize the model. None means\n            use the entire data set. Default is None. \n\n      ""  batches_per_epoch : int or None, optional\n            The number of batches in an epoch. This is the number of batches to\n            summarize before calling `from_summaries` and updating the model\n            parameters. This allows one to do minibatch updates by updating the\n            model parameters before setting the full dataset. If set to None,\n            uses the full dataset. Default is None.\n\n        lr_decay : double, optional, positive\n            The step size decay as a function of the number of iterations.\n            Functionally, this sets the inertia to be (2+k)^{-lr_decay}\n            where k is the number of iterations. This causes initial\n            iterations to have more of an impact than later iterations,\n            and is frequently used in minibatch learning. This value is\n            suggested to be between 0.5 and 1. Default is 0, meaning no\n            decay.\n\n        end_state : bool, optional\n            Whether to calculate the probability of ending in each state or not.\n            Default is False.\n\n        state_names : array-like, shape (n_states), optional\n            The name of the states. If None is passed in, default names are\n            generated. Default is None\n\n        name : str, optional\n            The name of the model. Default is None\n\n        keys : list\n            A list of sets where each set is the keys present in that column.\n            If there are d columns in the data set then this list should have\n            d sets and each set should have at least two keys in it.\n\n        random_state : int, numpy.random.RandomState, or None\n            The random state used for generating samples. If set to none, a\n            random seed will be used. If set to either an integer or a\n            random seed, will produce deterministic outputs.\n\n        callbacks : list, optional\n            A list of callback objects that describe functionality that should\n            be ""undertaken over the course of training.\n\n        return_history : bool, optional\n            Whether to return the history during training as well as the model.\n\n        verbose : bool, optional\n            Whether to print the improvement in the model fitting at each\n            iteration. Default is True.\n\n        n_jobs : int, optional\n            The number of threads to use when performing training. This\n            leads to exact updates. Default is 1.\n\n        multiple_check_input : bool, optional\n            Whether to check and transcode input at each iteration. This\n            leads to copying whole input data in each iteration. Which \n            can introduce significant overhead (up to 2 times slower) so \n            should be turned off when you know that data won't be changed \n            between fitting iteration. Default is True.\n\n        Returns\n        -------\n        model : HiddenMarkovModel\n            The model fit to the data.\n        ";
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 */
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 */
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 */
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/* "View.MemoryView":807
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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) {
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 */
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 */
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 * 
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 */
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      /* "View.MemoryView":838
 * 
 *         if have_step and step == 0:
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 * 
 * 
 */
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 */
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 *                 else:
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 *                     start = shape - 1
 *                 else:
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 *         else:
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 *                 if negative_step:
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 * 
 * 
 *         if have_start:             # <<<<<<<<<<<<<<
 *             if start < 0:
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 */
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 *                     start = shape
 *         else:
 *             if negative_step:             # <<<<<<<<<<<<<<
 *                 start = shape - 1
 *             else:
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 *             else:
 *                 start = 0
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 *             if negative_step:             # <<<<<<<<<<<<<<
 *                 start = shape - 1
 *             else:
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 *                 start = shape - 1
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 * 
 *         if have_stop:
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 *         if have_stop:             # <<<<<<<<<<<<<<
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 *                 stop += shape
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      /* "View.MemoryView":858
 * 
 *         if have_stop:
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 *                 if stop < 0:
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        /* "View.MemoryView":859
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 *                 if stop < 0:
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        /* "View.MemoryView":860
 *             if stop < 0:
 *                 stop += shape
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          /* "View.MemoryView":861
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          /* "View.MemoryView":860
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 *                     stop = 0
 *             elif stop > shape:
 */
        }

        /* "View.MemoryView":858
 * 
 *         if have_stop:
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 *                 stop += shape
 *                 if stop < 0:
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        goto __pyx_L17;
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      /* "View.MemoryView":862
 *                 if stop < 0:
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 *             elif stop > shape:             # <<<<<<<<<<<<<<
 *                 stop = shape
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      if (__pyx_t_2) {

        /* "View.MemoryView":863
 *                     stop = 0
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 *             if negative_step:
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        /* "View.MemoryView":862
 *                 if stop < 0:
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 *             elif stop > shape:             # <<<<<<<<<<<<<<
 *                 stop = shape
 *         else:
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      }
      __pyx_L17:;

      /* "View.MemoryView":857
 *                 start = 0
 * 
 *         if have_stop:             # <<<<<<<<<<<<<<
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    /* "View.MemoryView":865
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        /* "View.MemoryView":866
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        /* "View.MemoryView":865
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 *         if not have_step:
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 */
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 * 
 *         if not have_step:
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 * 
 */
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 * 
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 *             if (stop - start) - step * new_shape:
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 */
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      /* "View.MemoryView":878
 * 
 *             if (stop - start) - step * new_shape:
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 */
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 */
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/* "View.MemoryView":1140
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  /* "View.MemoryView":1148
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    }
    __pyx_t_2 = ((__pyx_v_dst_stride > 0) != 0);
    if (__pyx_t_2) {
    } else {
      __pyx_t_1 = __pyx_t_2;
      goto __pyx_L5_bool_binop_done;
    }

    /* "View.MemoryView":1154
 *     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:
 */
    __pyx_t_2 = (((size_t)__pyx_v_src_stride) == __pyx_v_itemsize);
    if (__pyx_t_2) {
      __pyx_t_2 = (__pyx_v_itemsize == ((size_t)__pyx_v_dst_stride));
    }
    __pyx_t_3 = (__pyx_t_2 != 0);
    __pyx_t_1 = __pyx_t_3;
    __pyx_L5_bool_binop_done:;

    /* "View.MemoryView":1153
 * 
 *     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)
 */
    if (__pyx_t_1) {

      /* "View.MemoryView":1155
 *        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:
 *            for i in range(dst_extent):
 */
      (void)(memcpy(__pyx_v_dst_data, __pyx_v_src_data, (__pyx_v_itemsize * __pyx_v_dst_extent)));

      /* "View.MemoryView":1153
 * 
 *     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;
    }

    /* "View.MemoryView":1157
 *            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
 */
    /*else*/ {
      __pyx_t_4 = __pyx_v_dst_extent;
      __pyx_t_5 = __pyx_t_4;
      for (__pyx_t_6 = 0; __pyx_t_6 < __pyx_t_5; __pyx_t_6+=1) {
        __pyx_v_i = __pyx_t_6;

        /* "View.MemoryView":1158
 *        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":1159
 *            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":1160
 *                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":1152
 *     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":1162
 *                dst_data += dst_stride
 *     else:
 *         for i in range(dst_extent):             # <<<<<<<<<<<<<<
 *             _copy_strided_to_strided(src_data, src_strides + 1,
 *                                      dst_data, dst_strides + 1,
 */
  /*else*/ {
    __pyx_t_4 = __pyx_v_dst_extent;
    __pyx_t_5 = __pyx_t_4;
    for (__pyx_t_6 = 0; __pyx_t_6 < __pyx_t_5; __pyx_t_6+=1) {
      __pyx_v_i = __pyx_t_6;

      /* "View.MemoryView":1163
 *     else:
 *         for i in range(dst_extent):
 *             _copy_strided_to_strided(src_data, src_strides + 1,             # <<<<<<<<<<<<<<
 *                                      dst_data, dst_strides + 1,
 *                                      src_shape + 1, dst_shape + 1,
 */
      _copy_strided_to_strided(__pyx_v_src_data, (__pyx_v_src_strides + 1), __pyx_v_dst_data, (__pyx_v_dst_strides + 1), (__pyx_v_src_shape + 1), (__pyx_v_dst_shape + 1), (__pyx_v_ndim - 1), __pyx_v_itemsize);

      /* "View.MemoryView":1167
 *                                      src_shape + 1, dst_shape + 1,
 *                                      ndim - 1, itemsize)
 *             src_data += src_stride             # <<<<<<<<<<<<<<
 *             dst_data += dst_stride
 * 
 */
      __pyx_v_src_data = (__pyx_v_src_data + __pyx_v_src_stride);

      /* "View.MemoryView":1168
 *                                      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":1140
 * 
 * @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":1170
 *             dst_data += dst_stride
 * 
 * cdef void copy_strided_to_strided(__Pyx_memviewslice *src,             # <<<<<<<<<<<<<<
 *                                   __Pyx_memviewslice *dst,
 *                                   int ndim, size_t itemsize) 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":1173
 *                                   __Pyx_memviewslice *dst,
 *                                   int ndim, size_t itemsize) nogil:
 *     _copy_strided_to_strided(src.data, src.strides, dst.data, dst.strides,             # <<<<<<<<<<<<<<
 *                              src.shape, dst.shape, ndim, itemsize)
 * 
 */
  _copy_strided_to_strided(__pyx_v_src->data, __pyx_v_src->strides, __pyx_v_dst->data, __pyx_v_dst->strides, __pyx_v_src->shape, __pyx_v_dst->shape, __pyx_v_ndim, __pyx_v_itemsize);

  /* "View.MemoryView":1170
 *             dst_data += dst_stride
 * 
 * cdef void copy_strided_to_strided(__Pyx_memviewslice *src,             # <<<<<<<<<<<<<<
 *                                   __Pyx_memviewslice *dst,
 *                                   int ndim, size_t itemsize) nogil:
 */

  /* function exit code */
}

/* "View.MemoryView":1177
 * 
 * @cname('__pyx_memoryview_slice_get_size')
 * cdef Py_ssize_t slice_get_size(__Pyx_memviewslice *src, int ndim) 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) {
  Py_ssize_t __pyx_v_shape;
  Py_ssize_t __pyx_v_size;
  Py_ssize_t __pyx_r;
  Py_ssize_t __pyx_t_1;
  Py_ssize_t *__pyx_t_2;
  Py_ssize_t *__pyx_t_3;
  Py_ssize_t *__pyx_t_4;

  /* "View.MemoryView":1179
 * cdef Py_ssize_t slice_get_size(__Pyx_memviewslice *src, int ndim) nogil:
 *     "Return the size of the memory occupied by the slice in number of bytes"
 *     cdef Py_ssize_t shape, size = src.memview.view.itemsize             # <<<<<<<<<<<<<<
 * 
 *     for shape in src.shape[:ndim]:
 */
  __pyx_t_1 = __pyx_v_src->memview->view.itemsize;
  __pyx_v_size = __pyx_t_1;

  /* "View.MemoryView":1181
 *     cdef Py_ssize_t shape, size = src.memview.view.itemsize
 * 
 *     for shape in src.shape[:ndim]:             # <<<<<<<<<<<<<<
 *         size *= shape
 * 
 */
  __pyx_t_3 = (__pyx_v_src->shape + __pyx_v_ndim);
  for (__pyx_t_4 = __pyx_v_src->shape; __pyx_t_4 < __pyx_t_3; __pyx_t_4++) {
    __pyx_t_2 = __pyx_t_4;
    __pyx_v_shape = (__pyx_t_2[0]);

    /* "View.MemoryView":1182
 * 
 *     for shape in src.shape[:ndim]:
 *         size *= shape             # <<<<<<<<<<<<<<
 * 
 *     return size
 */
    __pyx_v_size = (__pyx_v_size * __pyx_v_shape);
  }

  /* "View.MemoryView":1184
 *         size *= shape
 * 
 *     return size             # <<<<<<<<<<<<<<
 * 
 * @cname('__pyx_fill_contig_strides_array')
 */
  __pyx_r = __pyx_v_size;
  goto __pyx_L0;

  /* "View.MemoryView":1177
 * 
 * @cname('__pyx_memoryview_slice_get_size')
 * cdef Py_ssize_t slice_get_size(__Pyx_memviewslice *src, int ndim) 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
 */

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

/* "View.MemoryView":1187
 * 
 * @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,
 *                 int ndim, char order) nogil:
 */

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

  /* "View.MemoryView":1196
 *     cdef int idx
 * 
 *     if order == 'F':             # <<<<<<<<<<<<<<
 *         for idx in range(ndim):
 *             strides[idx] = stride
 */
  __pyx_t_1 = ((__pyx_v_order == 'F') != 0);
  if (__pyx_t_1) {

    /* "View.MemoryView":1197
 * 
 *     if order == 'F':
 *         for idx in range(ndim):             # <<<<<<<<<<<<<<
 *             strides[idx] = stride
 *             stride *= shape[idx]
 */
    __pyx_t_2 = __pyx_v_ndim;
    __pyx_t_3 = __pyx_t_2;
    for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_3; __pyx_t_4+=1) {
      __pyx_v_idx = __pyx_t_4;

      /* "View.MemoryView":1198
 *     if order == 'F':
 *         for idx in range(ndim):
 *             strides[idx] = stride             # <<<<<<<<<<<<<<
 *             stride *= shape[idx]
 *     else:
 */
      (__pyx_v_strides[__pyx_v_idx]) = __pyx_v_stride;

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

    /* "View.MemoryView":1196
 *     cdef int idx
 * 
 *     if order == 'F':             # <<<<<<<<<<<<<<
 *         for idx in range(ndim):
 *             strides[idx] = stride
 */
    goto __pyx_L3;
  }

  /* "View.MemoryView":1201
 *             stride *= shape[idx]
 *     else:
 *         for idx in range(ndim - 1, -1, -1):             # <<<<<<<<<<<<<<
 *             strides[idx] = stride
 *             stride *= shape[idx]
 */
  /*else*/ {
    for (__pyx_t_2 = (__pyx_v_ndim - 1); __pyx_t_2 > -1; __pyx_t_2-=1) {
      __pyx_v_idx = __pyx_t_2;

      /* "View.MemoryView":1202
 *     else:
 *         for idx in range(ndim - 1, -1, -1):
 *             strides[idx] = stride             # <<<<<<<<<<<<<<
 *             stride *= shape[idx]
 * 
 */
      (__pyx_v_strides[__pyx_v_idx]) = __pyx_v_stride;

      /* "View.MemoryView":1203
 *         for idx in range(ndim - 1, -1, -1):
 *             strides[idx] = stride
 *             stride *= shape[idx]             # <<<<<<<<<<<<<<
 * 
 *     return stride
 */
      __pyx_v_stride = (__pyx_v_stride * (__pyx_v_shape[__pyx_v_idx]));
    }
  }
  __pyx_L3:;

  /* "View.MemoryView":1205
 *             stride *= shape[idx]
 * 
 *     return stride             # <<<<<<<<<<<<<<
 * 
 * @cname('__pyx_memoryview_copy_data_to_temp')
 */
  __pyx_r = __pyx_v_stride;
  goto __pyx_L0;

  /* "View.MemoryView":1187
 * 
 * @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,
 *                 int ndim, char order) nogil:
 */

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

/* "View.MemoryView":1208
 * 
 * @cname('__pyx_memoryview_copy_data_to_temp')
 * cdef void *copy_data_to_temp(__Pyx_memviewslice *src,             # <<<<<<<<<<<<<<
 *                              __Pyx_memviewslice *tmpslice,
 *                              char order,
 */

static void *__pyx_memoryview_copy_data_to_temp(__Pyx_memviewslice *__pyx_v_src, __Pyx_memviewslice *__pyx_v_tmpslice, char __pyx_v_order, int __pyx_v_ndim) {
  int __pyx_v_i;
  void *__pyx_v_result;
  size_t __pyx_v_itemsize;
  size_t __pyx_v_size;
  void *__pyx_r;
  Py_ssize_t __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  struct __pyx_memoryview_obj *__pyx_t_4;
  int __pyx_t_5;
  int __pyx_t_6;

  /* "View.MemoryView":1219
 *     cdef void *result
 * 
 *     cdef size_t itemsize = src.memview.view.itemsize             # <<<<<<<<<<<<<<
 *     cdef size_t size = slice_get_size(src, ndim)
 * 
 */
  __pyx_t_1 = __pyx_v_src->memview->view.itemsize;
  __pyx_v_itemsize = __pyx_t_1;

  /* "View.MemoryView":1220
 * 
 *     cdef size_t itemsize = src.memview.view.itemsize
 *     cdef size_t size = slice_get_size(src, ndim)             # <<<<<<<<<<<<<<
 * 
 *     result = malloc(size)
 */
  __pyx_v_size = __pyx_memoryview_slice_get_size(__pyx_v_src, __pyx_v_ndim);

  /* "View.MemoryView":1222
 *     cdef size_t size = slice_get_size(src, ndim)
 * 
 *     result = malloc(size)             # <<<<<<<<<<<<<<
 *     if not result:
 *         _err(MemoryError, NULL)
 */
  __pyx_v_result = malloc(__pyx_v_size);

  /* "View.MemoryView":1223
 * 
 *     result = malloc(size)
 *     if not result:             # <<<<<<<<<<<<<<
 *         _err(MemoryError, NULL)
 * 
 */
  __pyx_t_2 = ((!(__pyx_v_result != 0)) != 0);
  if (__pyx_t_2) {

    /* "View.MemoryView":1224
 *     result = malloc(size)
 *     if not result:
 *         _err(MemoryError, NULL)             # <<<<<<<<<<<<<<
 * 
 * 
 */
    __pyx_t_3 = __pyx_memoryview_err(__pyx_builtin_MemoryError, NULL); if (unlikely(__pyx_t_3 == ((int)-1))) __PYX_ERR(2, 1224, __pyx_L1_error)

    /* "View.MemoryView":1223
 * 
 *     result = malloc(size)
 *     if not result:             # <<<<<<<<<<<<<<
 *         _err(MemoryError, NULL)
 * 
 */
  }

  /* "View.MemoryView":1227
 * 
 * 
 *     tmpslice.data = <char *> result             # <<<<<<<<<<<<<<
 *     tmpslice.memview = src.memview
 *     for i in range(ndim):
 */
  __pyx_v_tmpslice->data = ((char *)__pyx_v_result);

  /* "View.MemoryView":1228
 * 
 *     tmpslice.data = <char *> result
 *     tmpslice.memview = src.memview             # <<<<<<<<<<<<<<
 *     for i in range(ndim):
 *         tmpslice.shape[i] = src.shape[i]
 */
  __pyx_t_4 = __pyx_v_src->memview;
  __pyx_v_tmpslice->memview = __pyx_t_4;

  /* "View.MemoryView":1229
 *     tmpslice.data = <char *> result
 *     tmpslice.memview = src.memview
 *     for i in range(ndim):             # <<<<<<<<<<<<<<
 *         tmpslice.shape[i] = src.shape[i]
 *         tmpslice.suboffsets[i] = -1
 */
  __pyx_t_3 = __pyx_v_ndim;
  __pyx_t_5 = __pyx_t_3;
  for (__pyx_t_6 = 0; __pyx_t_6 < __pyx_t_5; __pyx_t_6+=1) {
    __pyx_v_i = __pyx_t_6;

    /* "View.MemoryView":1230
 *     tmpslice.memview = src.memview
 *     for i in range(ndim):
 *         tmpslice.shape[i] = src.shape[i]             # <<<<<<<<<<<<<<
 *         tmpslice.suboffsets[i] = -1
 * 
 */
    (__pyx_v_tmpslice->shape[__pyx_v_i]) = (__pyx_v_src->shape[__pyx_v_i]);

    /* "View.MemoryView":1231
 *     for i in range(ndim):
 *         tmpslice.shape[i] = src.shape[i]
 *         tmpslice.suboffsets[i] = -1             # <<<<<<<<<<<<<<
 * 
 *     fill_contig_strides_array(&tmpslice.shape[0], &tmpslice.strides[0], itemsize,
 */
    (__pyx_v_tmpslice->suboffsets[__pyx_v_i]) = -1L;
  }

  /* "View.MemoryView":1233
 *         tmpslice.suboffsets[i] = -1
 * 
 *     fill_contig_strides_array(&tmpslice.shape[0], &tmpslice.strides[0], itemsize,             # <<<<<<<<<<<<<<
 *                               ndim, order)
 * 
 */
  (void)(__pyx_fill_contig_strides_array((&(__pyx_v_tmpslice->shape[0])), (&(__pyx_v_tmpslice->strides[0])), __pyx_v_itemsize, __pyx_v_ndim, __pyx_v_order));

  /* "View.MemoryView":1237
 * 
 * 
 *     for i in range(ndim):             # <<<<<<<<<<<<<<
 *         if tmpslice.shape[i] == 1:
 *             tmpslice.strides[i] = 0
 */
  __pyx_t_3 = __pyx_v_ndim;
  __pyx_t_5 = __pyx_t_3;
  for (__pyx_t_6 = 0; __pyx_t_6 < __pyx_t_5; __pyx_t_6+=1) {
    __pyx_v_i = __pyx_t_6;

    /* "View.MemoryView":1238
 * 
 *     for i in range(ndim):
 *         if tmpslice.shape[i] == 1:             # <<<<<<<<<<<<<<
 *             tmpslice.strides[i] = 0
 * 
 */
    __pyx_t_2 = (((__pyx_v_tmpslice->shape[__pyx_v_i]) == 1) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":1239
 *     for i in range(ndim):
 *         if tmpslice.shape[i] == 1:
 *             tmpslice.strides[i] = 0             # <<<<<<<<<<<<<<
 * 
 *     if slice_is_contig(src[0], order, ndim):
 */
      (__pyx_v_tmpslice->strides[__pyx_v_i]) = 0;

      /* "View.MemoryView":1238
 * 
 *     for i in range(ndim):
 *         if tmpslice.shape[i] == 1:             # <<<<<<<<<<<<<<
 *             tmpslice.strides[i] = 0
 * 
 */
    }
  }

  /* "View.MemoryView":1241
 *             tmpslice.strides[i] = 0
 * 
 *     if slice_is_contig(src[0], order, ndim):             # <<<<<<<<<<<<<<
 *         memcpy(result, src.data, size)
 *     else:
 */
  __pyx_t_2 = (__pyx_memviewslice_is_contig((__pyx_v_src[0]), __pyx_v_order, __pyx_v_ndim) != 0);
  if (__pyx_t_2) {

    /* "View.MemoryView":1242
 * 
 *     if slice_is_contig(src[0], order, ndim):
 *         memcpy(result, src.data, size)             # <<<<<<<<<<<<<<
 *     else:
 *         copy_strided_to_strided(src, tmpslice, ndim, itemsize)
 */
    (void)(memcpy(__pyx_v_result, __pyx_v_src->data, __pyx_v_size));

    /* "View.MemoryView":1241
 *             tmpslice.strides[i] = 0
 * 
 *     if slice_is_contig(src[0], order, ndim):             # <<<<<<<<<<<<<<
 *         memcpy(result, src.data, size)
 *     else:
 */
    goto __pyx_L9;
  }

  /* "View.MemoryView":1244
 *         memcpy(result, src.data, size)
 *     else:
 *         copy_strided_to_strided(src, tmpslice, ndim, itemsize)             # <<<<<<<<<<<<<<
 * 
 *     return result
 */
  /*else*/ {
    copy_strided_to_strided(__pyx_v_src, __pyx_v_tmpslice, __pyx_v_ndim, __pyx_v_itemsize);
  }
  __pyx_L9:;

  /* "View.MemoryView":1246
 *         copy_strided_to_strided(src, tmpslice, ndim, itemsize)
 * 
 *     return result             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_r = __pyx_v_result;
  goto __pyx_L0;

  /* "View.MemoryView":1208
 * 
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      /* "View.MemoryView":1292
 * 
 *     for i in range(ndim):
 *         if src.shape[i] != dst.shape[i]:             # <<<<<<<<<<<<<<
 *             if src.shape[i] == 1:
 *                 broadcasting = True
 */
    }

    /* "View.MemoryView":1299
 *                 _err_extents(i, dst.shape[i], src.shape[i])
 * 
 *         if src.suboffsets[i] >= 0:             # <<<<<<<<<<<<<<
 *             _err_dim(ValueError, "Dimension %d is not direct", i)
 * 
 */
    __pyx_t_2 = (((__pyx_v_src.suboffsets[__pyx_v_i]) >= 0) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":1300
 * 
 *         if src.suboffsets[i] >= 0:
 *             _err_dim(ValueError, "Dimension %d is not direct", i)             # <<<<<<<<<<<<<<
 * 
 *     if slices_overlap(&src, &dst, ndim, itemsize):
 */
      __pyx_t_6 = __pyx_memoryview_err_dim(__pyx_builtin_ValueError, ((char *)"Dimension %d is not direct"), __pyx_v_i); if (unlikely(__pyx_t_6 == ((int)-1))) __PYX_ERR(2, 1300, __pyx_L1_error)

      /* "View.MemoryView":1299
 *                 _err_extents(i, dst.shape[i], src.shape[i])
 * 
 *         if src.suboffsets[i] >= 0:             # <<<<<<<<<<<<<<
 *             _err_dim(ValueError, "Dimension %d is not direct", i)
 * 
 */
    }
  }

  /* "View.MemoryView":1302
 *             _err_dim(ValueError, "Dimension %d is not direct", i)
 * 
 *     if slices_overlap(&src, &dst, ndim, itemsize):             # <<<<<<<<<<<<<<
 * 
 *         if not slice_is_contig(src, order, ndim):
 */
  __pyx_t_2 = (__pyx_slices_overlap((&__pyx_v_src), (&__pyx_v_dst), __pyx_v_ndim, __pyx_v_itemsize) != 0);
  if (__pyx_t_2) {

    /* "View.MemoryView":1304
 *     if slices_overlap(&src, &dst, ndim, itemsize):
 * 
 *         if not slice_is_contig(src, order, ndim):             # <<<<<<<<<<<<<<
 *             order = get_best_order(&dst, ndim)
 * 
 */
    __pyx_t_2 = ((!(__pyx_memviewslice_is_contig(__pyx_v_src, __pyx_v_order, __pyx_v_ndim) != 0)) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":1305
 * 
 *         if not slice_is_contig(src, order, ndim):
 *             order = get_best_order(&dst, ndim)             # <<<<<<<<<<<<<<
 * 
 *         tmpdata = copy_data_to_temp(&src, &tmp, order, ndim)
 */
      __pyx_v_order = __pyx_get_best_slice_order((&__pyx_v_dst), __pyx_v_ndim);

      /* "View.MemoryView":1304
 *     if slices_overlap(&src, &dst, ndim, itemsize):
 * 
 *         if not slice_is_contig(src, order, ndim):             # <<<<<<<<<<<<<<
 *             order = get_best_order(&dst, ndim)
 * 
 */
    }

    /* "View.MemoryView":1307
 *             order = get_best_order(&dst, ndim)
 * 
 *         tmpdata = copy_data_to_temp(&src, &tmp, order, ndim)             # <<<<<<<<<<<<<<
 *         src = tmp
 * 
 */
    __pyx_t_7 = __pyx_memoryview_copy_data_to_temp((&__pyx_v_src), (&__pyx_v_tmp), __pyx_v_order, __pyx_v_ndim); if (unlikely(__pyx_t_7 == ((void *)NULL))) __PYX_ERR(2, 1307, __pyx_L1_error)
    __pyx_v_tmpdata = __pyx_t_7;

    /* "View.MemoryView":1308
 * 
 *         tmpdata = copy_data_to_temp(&src, &tmp, order, ndim)
 *         src = tmp             # <<<<<<<<<<<<<<
 * 
 *     if not broadcasting:
 */
    __pyx_v_src = __pyx_v_tmp;

    /* "View.MemoryView":1302
 *             _err_dim(ValueError, "Dimension %d is not direct", i)
 * 
 *     if slices_overlap(&src, &dst, ndim, itemsize):             # <<<<<<<<<<<<<<
 * 
 *         if not slice_is_contig(src, order, ndim):
 */
  }

  /* "View.MemoryView":1310
 *         src = tmp
 * 
 *     if not broadcasting:             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_t_2 = ((!(__pyx_v_broadcasting != 0)) != 0);
  if (__pyx_t_2) {

    /* "View.MemoryView":1313
 * 
 * 
 *         if slice_is_contig(src, 'C', ndim):             # <<<<<<<<<<<<<<
 *             direct_copy = slice_is_contig(dst, 'C', ndim)
 *         elif slice_is_contig(src, 'F', ndim):
 */
    __pyx_t_2 = (__pyx_memviewslice_is_contig(__pyx_v_src, 'C', __pyx_v_ndim) != 0);
    if (__pyx_t_2) {

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

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

    /* "View.MemoryView":1315
 *         if slice_is_contig(src, 'C', ndim):
 *             direct_copy = slice_is_contig(dst, 'C', ndim)
 *         elif slice_is_contig(src, 'F', ndim):             # <<<<<<<<<<<<<<
 *             direct_copy = slice_is_contig(dst, 'F', ndim)
 * 
 */
    __pyx_t_2 = (__pyx_memviewslice_is_contig(__pyx_v_src, 'F', __pyx_v_ndim) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":1316
 *             direct_copy = slice_is_contig(dst, 'C', ndim)
 *         elif slice_is_contig(src, 'F', ndim):
 *             direct_copy = slice_is_contig(dst, 'F', ndim)             # <<<<<<<<<<<<<<
 * 
 *         if direct_copy:
 */
      __pyx_v_direct_copy = __pyx_memviewslice_is_contig(__pyx_v_dst, 'F', __pyx_v_ndim);

      /* "View.MemoryView":1315
 *         if slice_is_contig(src, 'C', ndim):
 *             direct_copy = slice_is_contig(dst, 'C', ndim)
 *         elif slice_is_contig(src, 'F', ndim):             # <<<<<<<<<<<<<<
 *             direct_copy = slice_is_contig(dst, 'F', ndim)
 * 
 */
    }
    __pyx_L12:;

    /* "View.MemoryView":1318
 *             direct_copy = slice_is_contig(dst, 'F', ndim)
 * 
 *         if direct_copy:             # <<<<<<<<<<<<<<
 * 
 *             refcount_copying(&dst, dtype_is_object, ndim, False)
 */
    __pyx_t_2 = (__pyx_v_direct_copy != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":1320
 *         if direct_copy:
 * 
 *             refcount_copying(&dst, dtype_is_object, ndim, False)             # <<<<<<<<<<<<<<
 *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))
 *             refcount_copying(&dst, dtype_is_object, ndim, True)
 */
      __pyx_memoryview_refcount_copying((&__pyx_v_dst), __pyx_v_dtype_is_object, __pyx_v_ndim, 0);

      /* "View.MemoryView":1321
 * 
 *             refcount_copying(&dst, dtype_is_object, ndim, False)
 *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))             # <<<<<<<<<<<<<<
 *             refcount_copying(&dst, dtype_is_object, ndim, 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":1322
 *             refcount_copying(&dst, dtype_is_object, ndim, False)
 *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))
 *             refcount_copying(&dst, dtype_is_object, ndim, True)             # <<<<<<<<<<<<<<
 *             free(tmpdata)
 *             return 0
 */
      __pyx_memoryview_refcount_copying((&__pyx_v_dst), __pyx_v_dtype_is_object, __pyx_v_ndim, 1);

      /* "View.MemoryView":1323
 *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))
 *             refcount_copying(&dst, dtype_is_object, ndim, True)
 *             free(tmpdata)             # <<<<<<<<<<<<<<
 *             return 0
 * 
 */
      free(__pyx_v_tmpdata);

      /* "View.MemoryView":1324
 *             refcount_copying(&dst, dtype_is_object, ndim, True)
 *             free(tmpdata)
 *             return 0             # <<<<<<<<<<<<<<
 * 
 *     if order == 'F' == get_best_order(&dst, ndim):
 */
      __pyx_r = 0;
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      /* "View.MemoryView":1318
 *             direct_copy = slice_is_contig(dst, 'F', ndim)
 * 
 *         if direct_copy:             # <<<<<<<<<<<<<<
 * 
 *             refcount_copying(&dst, dtype_is_object, ndim, False)
 */
    }

    /* "View.MemoryView":1310
 *         src = tmp
 * 
 *     if not broadcasting:             # <<<<<<<<<<<<<<
 * 
 * 
 */
  }

  /* "View.MemoryView":1326
 *             return 0
 * 
 *     if order == 'F' == get_best_order(&dst, ndim):             # <<<<<<<<<<<<<<
 * 
 * 
 */
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    __pyx_t_2 = ('F' == __pyx_get_best_slice_order((&__pyx_v_dst), __pyx_v_ndim));
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    /* "View.MemoryView":1329
 * 
 * 
 *         transpose_memslice(&src)             # <<<<<<<<<<<<<<
 *         transpose_memslice(&dst)
 * 
 */
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    /* "View.MemoryView":1330
 * 
 *         transpose_memslice(&src)
 *         transpose_memslice(&dst)             # <<<<<<<<<<<<<<
 * 
 *     refcount_copying(&dst, dtype_is_object, ndim, False)
 */
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    /* "View.MemoryView":1326
 *             return 0
 * 
 *     if order == 'F' == get_best_order(&dst, ndim):             # <<<<<<<<<<<<<<
 * 
 * 
 */
  }

  /* "View.MemoryView":1332
 *         transpose_memslice(&dst)
 * 
 *     refcount_copying(&dst, dtype_is_object, ndim, False)             # <<<<<<<<<<<<<<
 *     copy_strided_to_strided(&src, &dst, ndim, itemsize)
 *     refcount_copying(&dst, dtype_is_object, ndim, True)
 */
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  /* "View.MemoryView":1333
 * 
 *     refcount_copying(&dst, dtype_is_object, ndim, False)
 *     copy_strided_to_strided(&src, &dst, ndim, itemsize)             # <<<<<<<<<<<<<<
 *     refcount_copying(&dst, dtype_is_object, ndim, True)
 * 
 */
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  /* "View.MemoryView":1334
 *     refcount_copying(&dst, dtype_is_object, ndim, False)
 *     copy_strided_to_strided(&src, &dst, ndim, itemsize)
 *     refcount_copying(&dst, dtype_is_object, ndim, True)             # <<<<<<<<<<<<<<
 * 
 *     free(tmpdata)
 */
  __pyx_memoryview_refcount_copying((&__pyx_v_dst), __pyx_v_dtype_is_object, __pyx_v_ndim, 1);

  /* "View.MemoryView":1336
 *     refcount_copying(&dst, dtype_is_object, ndim, True)
 * 
 *     free(tmpdata)             # <<<<<<<<<<<<<<
 *     return 0
 * 
 */
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 * 
 *     free(tmpdata)
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * @cname('__pyx_memoryview_broadcast_leading')
 */
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 * 
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/* "View.MemoryView":1340
 * 
 * @cname('__pyx_memoryview_broadcast_leading')
 * cdef void broadcast_leading(__Pyx_memviewslice *mslice,             # <<<<<<<<<<<<<<
 *                             int ndim,
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static void __pyx_memoryview_broadcast_leading(__Pyx_memviewslice *__pyx_v_mslice, int __pyx_v_ndim, int __pyx_v_ndim_other) {
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  int __pyx_t_3;

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 *                             int ndim_other) nogil:
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 * 
 *     for i in range(ndim - 1, -1, -1):
 */
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 *     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]
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 * 
 *     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]
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    (__pyx_v_mslice->shape[(__pyx_v_i + __pyx_v_offset)]) = (__pyx_v_mslice->shape[__pyx_v_i]);

    /* "View.MemoryView":1348
 *     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]
 * 
 */
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    /* "View.MemoryView":1349
 *         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]);
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  /* "View.MemoryView":1351
 *         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;
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    /* "View.MemoryView":1352
 * 
 *     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":1353
 *     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":1354
 *         mslice.shape[i] = 1
 *         mslice.strides[i] = mslice.strides[0]
 *         mslice.suboffsets[i] = -1             # <<<<<<<<<<<<<<
 * 
 * 
 */
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  /* "View.MemoryView":1340
 * 
 * @cname('__pyx_memoryview_broadcast_leading')
 * cdef void broadcast_leading(__Pyx_memviewslice *mslice,             # <<<<<<<<<<<<<<
 *                             int ndim,
 *                             int ndim_other) nogil:
 */

  /* function exit code */
}

/* "View.MemoryView":1362
 * 
 * @cname('__pyx_memoryview_refcount_copying')
 * cdef void refcount_copying(__Pyx_memviewslice *dst, bint dtype_is_object,             # <<<<<<<<<<<<<<
 *                            int ndim, bint inc) nogil:
 * 
 */

static void __pyx_memoryview_refcount_copying(__Pyx_memviewslice *__pyx_v_dst, int __pyx_v_dtype_is_object, int __pyx_v_ndim, int __pyx_v_inc) {
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 * 
 * 
 *     if dtype_is_object:             # <<<<<<<<<<<<<<
 *         refcount_objects_in_slice_with_gil(dst.data, dst.shape,
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 * 
 *     if dtype_is_object:
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 *                                            dst.strides, ndim, inc)
 * 
 */
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    /* "View.MemoryView":1366
 * 
 * 
 *     if dtype_is_object:             # <<<<<<<<<<<<<<
 *         refcount_objects_in_slice_with_gil(dst.data, dst.shape,
 *                                            dst.strides, ndim, inc)
 */
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  /* "View.MemoryView":1362
 * 
 * @cname('__pyx_memoryview_refcount_copying')
 * cdef void refcount_copying(__Pyx_memviewslice *dst, bint dtype_is_object,             # <<<<<<<<<<<<<<
 *                            int ndim, bint inc) nogil:
 * 
 */

  /* function exit code */
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/* "View.MemoryView":1371
 * 
 * @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,
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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) {
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 * @cname('__pyx_memoryview_refcount_objects_in_slice')
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 * 
 * @cname('__pyx_memoryview_refcount_objects_in_slice_with_gil')
 * cdef void refcount_objects_in_slice_with_gil(char *data, Py_ssize_t *shape,             # <<<<<<<<<<<<<<
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/* "View.MemoryView":1377
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 * cdef void refcount_objects_in_slice(char *data, Py_ssize_t *shape,             # <<<<<<<<<<<<<<
 *                                     Py_ssize_t *strides, int ndim, bint inc):
 *     cdef Py_ssize_t i
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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) {
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 * 
 *     for i in range(shape[0]):             # <<<<<<<<<<<<<<
 *         if ndim == 1:
 *             if inc:
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  {"add_transition", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_17add_transition, METH_VARARGS|METH_KEYWORDS, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_16add_transition},
  {"add_transitions", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_19add_transitions, METH_VARARGS|METH_KEYWORDS, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_18add_transitions},
  {"dense_transition_matrix", (PyCFunction)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_21dense_transition_matrix, METH_NOARGS, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_20dense_transition_matrix},
  {"copy", (PyCFunction)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_23copy, METH_NOARGS, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_22copy},
  {"freeze_distributions", (PyCFunction)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_25freeze_distributions, METH_NOARGS, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_24freeze_distributions},
  {"thaw_distributions", (PyCFunction)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_27thaw_distributions, METH_NOARGS, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_26thaw_distributions},
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  {"concatenate", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_31concatenate, METH_VARARGS|METH_KEYWORDS, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_30concatenate},
  {"plot", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_33plot, METH_VARARGS|METH_KEYWORDS, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_32plot},
  {"bake", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_35bake, METH_VARARGS|METH_KEYWORDS, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_34bake},
  {"sample", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_37sample, METH_VARARGS|METH_KEYWORDS, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_36sample},
  {"log_probability", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_39log_probability, METH_VARARGS|METH_KEYWORDS, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_38log_probability},
  {"forward", (PyCFunction)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_41forward, METH_O, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_40forward},
  {"backward", (PyCFunction)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_43backward, METH_O, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_42backward},
  {"forward_backward", (PyCFunction)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_45forward_backward, METH_O, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_44forward_backward},
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  {"predict_proba", (PyCFunction)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_49predict_proba, METH_O, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_48predict_proba},
  {"predict_log_proba", (PyCFunction)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_51predict_log_proba, METH_O, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_50predict_log_proba},
  {"predict", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_53predict, METH_VARARGS|METH_KEYWORDS, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_52predict},
  {"maximum_a_posteriori", (PyCFunction)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_55maximum_a_posteriori, METH_O, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_54maximum_a_posteriori},
  {"fit", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_57fit, METH_VARARGS|METH_KEYWORDS, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_56fit},
  {"summarize", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_59summarize, METH_VARARGS|METH_KEYWORDS, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_58summarize},
  {"_baum_welch_summarize", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_61_baum_welch_summarize, METH_VARARGS|METH_KEYWORDS, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_60_baum_welch_summarize},
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  {"from_summaries", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_67from_summaries, METH_VARARGS|METH_KEYWORDS, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_66from_summaries},
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  {(char *)"discrete", __pyx_getprop_11pomegranate_3hmm_17HiddenMarkovModel_discrete, __pyx_setprop_11pomegranate_3hmm_17HiddenMarkovModel_discrete, (char *)0, 0},
  {(char *)"multivariate", __pyx_getprop_11pomegranate_3hmm_17HiddenMarkovModel_multivariate, __pyx_setprop_11pomegranate_3hmm_17HiddenMarkovModel_multivariate, (char *)0, 0},
  {(char *)"keymap", __pyx_getprop_11pomegranate_3hmm_17HiddenMarkovModel_keymap, __pyx_setprop_11pomegranate_3hmm_17HiddenMarkovModel_keymap, (char *)0, 0},
  {0, 0, 0, 0, 0}
};

static PyTypeObject __pyx_type_11pomegranate_3hmm_HiddenMarkovModel = {
  PyVarObject_HEAD_INIT(0, 0)
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  0, /*tp_print*/
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  "A Hidden Markov Model\n\n    A Hidden Markov Model (HMM) is a directed graphical model where nodes are\n    hidden states which contain an observed emission distribution and edges\n    contain the probability of transitioning from one hidden state to another.\n    HMMs allow you to tag each observation in a variable length sequence with\n    the most likely hidden state according to the model.\n\n    Parameters\n    ----------\n    name : str, optional\n        The name of the model. Default is None.\n\n    start : State, optional\n        An optional state to force the model to start in. Default is None.\n\n    end : State, optional\n        An optional state to force the model to end in. Default is None.\n\n    Attributes\n    ----------\n    start : State\n        A state object corresponding to the initial start of the model\n\n    end : State\n        A state object corresponding to the forced end of the model\n\n    start_index : int\n        The index of the start object in the state list\n\n    end_index : int\n        The index of the end object in the state list\n\n    silent_start : int\n        The index of the beginning of the silent states in the state list\n\n    states : list\n        The list of all states in the model, with silent states at the end\n\n    Examples\n    --------\n    >>> from pomegranate import *\n    >>> d1 = DiscreteDistribution({'A' : 0.35, 'C' : 0.20, 'G' : 0.05, 'T' : 0.40})\n    >>> d2 = DiscreteDistribution({'A' : 0.25, 'C' : 0.25, 'G' : 0.25, 'T' : 0.25})\n    >>> d3 = DiscreteDistribution({'A' : 0.10, 'C' : 0.40, 'G' : 0.40, 'T' : 0.10})\n    >>>\n    >>> s1 = State(d1, name=\"s1\")\n    >>> s2 = State(d2, name=\"s2\")\n    >>> s3 = State(d3, name=\"s3\")\n    >>>\n    >>> model = HiddenMarkovModel('example')\n    >>> model.add_states([s1, s2, s3])\n    >>> model.add_transition(model.start, s1, 0.90)\n    >>> model.add_transition(model.start, s2, 0.10)\n    >>> model.add_transition(s1, s1, 0.80)\n    >>> model.add_transitio""n(s1, s2, 0.20)\n    >>> model.add_transition(s2, s2, 0.90)\n    >>> model.add_transition(s2, s3, 0.10)\n    >>> model.add_transition(s3, s3, 0.70)\n    >>> model.add_transition(s3, model.end, 0.30)\n    >>> model.bake()\n    >>>\n    >>> print(model.log_probability(list('ACGACTATTCGAT')))\n    -22.73896159971087\n    >>> print(\", \".join(state.name for i, state in model.viterbi(list('ACGACTATTCGAT'))[1]))\n    example-start, s1, s2, s2, s2, s2, s2, s2, s2, s2, s2, s2, s2, s3, example-end\n    ", /*tp_doc*/
  __pyx_tp_traverse_11pomegranate_3hmm_HiddenMarkovModel, /*tp_traverse*/
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  #endif
};

static struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct__bake *__pyx_freelist_11pomegranate_3hmm___pyx_scope_struct__bake[8];
static int __pyx_freecount_11pomegranate_3hmm___pyx_scope_struct__bake = 0;

static PyObject *__pyx_tp_new_11pomegranate_3hmm___pyx_scope_struct__bake(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
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  if (CYTHON_COMPILING_IN_CPYTHON && likely((__pyx_freecount_11pomegranate_3hmm___pyx_scope_struct__bake > 0) & (t->tp_basicsize == sizeof(struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct__bake)))) {
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    (void) PyObject_INIT(o, t);
    PyObject_GC_Track(o);
  } else {
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    if (unlikely(!o)) return 0;
  }
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}

static void __pyx_tp_dealloc_11pomegranate_3hmm___pyx_scope_struct__bake(PyObject *o) {
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  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->__pyx_v_self);
  Py_CLEAR(p->__pyx_v_state);
  if (CYTHON_COMPILING_IN_CPYTHON && ((__pyx_freecount_11pomegranate_3hmm___pyx_scope_struct__bake < 8) & (Py_TYPE(o)->tp_basicsize == sizeof(struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct__bake)))) {
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    (*Py_TYPE(o)->tp_free)(o);
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}

static int __pyx_tp_traverse_11pomegranate_3hmm___pyx_scope_struct__bake(PyObject *o, visitproc v, void *a) {
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  }
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  }
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}

static int __pyx_tp_clear_11pomegranate_3hmm___pyx_scope_struct__bake(PyObject *o) {
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  tmp = ((PyObject*)p->__pyx_v_self);
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}

static PyTypeObject __pyx_type_11pomegranate_3hmm___pyx_scope_struct__bake = {
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  __pyx_tp_dealloc_11pomegranate_3hmm___pyx_scope_struct__bake, /*tp_dealloc*/
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  0, /*tp_print*/
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static struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_1_genexpr *__pyx_freelist_11pomegranate_3hmm___pyx_scope_struct_1_genexpr[8];
static int __pyx_freecount_11pomegranate_3hmm___pyx_scope_struct_1_genexpr = 0;

static PyObject *__pyx_tp_new_11pomegranate_3hmm___pyx_scope_struct_1_genexpr(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
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static void __pyx_tp_dealloc_11pomegranate_3hmm___pyx_scope_struct_1_genexpr(PyObject *o) {
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    (*Py_TYPE(o)->tp_free)(o);
  }
}

static int __pyx_tp_traverse_11pomegranate_3hmm___pyx_scope_struct_1_genexpr(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_1_genexpr *p = (struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_1_genexpr *)o;
  if (p->__pyx_outer_scope) {
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  }
  if (p->__pyx_v_x) {
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  }
  if (p->__pyx_t_0) {
    e = (*v)(p->__pyx_t_0, a); if (e) return e;
  }
  return 0;
}

static PyTypeObject __pyx_type_11pomegranate_3hmm___pyx_scope_struct_1_genexpr = {
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static struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_2_fit *__pyx_freelist_11pomegranate_3hmm___pyx_scope_struct_2_fit[8];
static int __pyx_freecount_11pomegranate_3hmm___pyx_scope_struct_2_fit = 0;

static PyObject *__pyx_tp_new_11pomegranate_3hmm___pyx_scope_struct_2_fit(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  PyObject *o;
  if (CYTHON_COMPILING_IN_CPYTHON && likely((__pyx_freecount_11pomegranate_3hmm___pyx_scope_struct_2_fit > 0) & (t->tp_basicsize == sizeof(struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_2_fit)))) {
    o = (PyObject*)__pyx_freelist_11pomegranate_3hmm___pyx_scope_struct_2_fit[--__pyx_freecount_11pomegranate_3hmm___pyx_scope_struct_2_fit];
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    (void) PyObject_INIT(o, t);
    PyObject_GC_Track(o);
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    o = (*t->tp_alloc)(t, 0);
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static void __pyx_tp_dealloc_11pomegranate_3hmm___pyx_scope_struct_2_fit(PyObject *o) {
  struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_2_fit *p = (struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_2_fit *)o;
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->__pyx_v_algorithm);
  Py_CLEAR(p->__pyx_v_data_generator);
  Py_CLEAR(p->__pyx_v_f);
  Py_CLEAR(p->__pyx_v_multiple_check_input);
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    __pyx_freelist_11pomegranate_3hmm___pyx_scope_struct_2_fit[__pyx_freecount_11pomegranate_3hmm___pyx_scope_struct_2_fit++] = ((struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_2_fit *)o);
  } else {
    (*Py_TYPE(o)->tp_free)(o);
  }
}

static int __pyx_tp_traverse_11pomegranate_3hmm___pyx_scope_struct_2_fit(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_2_fit *p = (struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_2_fit *)o;
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  }
  return 0;
}

static int __pyx_tp_clear_11pomegranate_3hmm___pyx_scope_struct_2_fit(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_2_fit *p = (struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_2_fit *)o;
  tmp = ((PyObject*)p->__pyx_v_algorithm);
  p->__pyx_v_algorithm = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->__pyx_v_data_generator);
  p->__pyx_v_data_generator = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->__pyx_v_f);
  p->__pyx_v_f = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->__pyx_v_multiple_check_input);
  p->__pyx_v_multiple_check_input = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyTypeObject __pyx_type_11pomegranate_3hmm___pyx_scope_struct_2_fit = {
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static struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_3_genexpr *__pyx_freelist_11pomegranate_3hmm___pyx_scope_struct_3_genexpr[8];
static int __pyx_freecount_11pomegranate_3hmm___pyx_scope_struct_3_genexpr = 0;

static PyObject *__pyx_tp_new_11pomegranate_3hmm___pyx_scope_struct_3_genexpr(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
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static void __pyx_tp_dealloc_11pomegranate_3hmm___pyx_scope_struct_3_genexpr(PyObject *o) {
  struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_3_genexpr *p = (struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_3_genexpr *)o;
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  Py_CLEAR(p->__pyx_outer_scope);
  Py_CLEAR(p->__pyx_v_batch);
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  if (CYTHON_COMPILING_IN_CPYTHON && ((__pyx_freecount_11pomegranate_3hmm___pyx_scope_struct_3_genexpr < 8) & (Py_TYPE(o)->tp_basicsize == sizeof(struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_3_genexpr)))) {
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}

static int __pyx_tp_traverse_11pomegranate_3hmm___pyx_scope_struct_3_genexpr(PyObject *o, visitproc v, void *a) {
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  return 0;
}

static PyTypeObject __pyx_type_11pomegranate_3hmm___pyx_scope_struct_3_genexpr = {
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static struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_4_genexpr *__pyx_freelist_11pomegranate_3hmm___pyx_scope_struct_4_genexpr[8];
static int __pyx_freecount_11pomegranate_3hmm___pyx_scope_struct_4_genexpr = 0;

static PyObject *__pyx_tp_new_11pomegranate_3hmm___pyx_scope_struct_4_genexpr(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
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static void __pyx_tp_dealloc_11pomegranate_3hmm___pyx_scope_struct_4_genexpr(PyObject *o) {
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static int __pyx_tp_traverse_11pomegranate_3hmm___pyx_scope_struct_4_genexpr(PyObject *o, visitproc v, void *a) {
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static struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_5_genexpr *__pyx_freelist_11pomegranate_3hmm___pyx_scope_struct_5_genexpr[8];
static int __pyx_freecount_11pomegranate_3hmm___pyx_scope_struct_5_genexpr = 0;

static PyObject *__pyx_tp_new_11pomegranate_3hmm___pyx_scope_struct_5_genexpr(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
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    (void) PyObject_INIT(o, t);
    PyObject_GC_Track(o);
  } else {
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static void __pyx_tp_dealloc_11pomegranate_3hmm___pyx_scope_struct_5_genexpr(PyObject *o) {
  struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_5_genexpr *p = (struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_5_genexpr *)o;
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  Py_CLEAR(p->__pyx_t_0);
  if (CYTHON_COMPILING_IN_CPYTHON && ((__pyx_freecount_11pomegranate_3hmm___pyx_scope_struct_5_genexpr < 8) & (Py_TYPE(o)->tp_basicsize == sizeof(struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_5_genexpr)))) {
    __pyx_freelist_11pomegranate_3hmm___pyx_scope_struct_5_genexpr[__pyx_freecount_11pomegranate_3hmm___pyx_scope_struct_5_genexpr++] = ((struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_5_genexpr *)o);
  } else {
    (*Py_TYPE(o)->tp_free)(o);
  }
}

static int __pyx_tp_traverse_11pomegranate_3hmm___pyx_scope_struct_5_genexpr(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_5_genexpr *p = (struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_5_genexpr *)o;
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  }
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}

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static struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_6_genexpr *__pyx_freelist_11pomegranate_3hmm___pyx_scope_struct_6_genexpr[8];
static int __pyx_freecount_11pomegranate_3hmm___pyx_scope_struct_6_genexpr = 0;

static PyObject *__pyx_tp_new_11pomegranate_3hmm___pyx_scope_struct_6_genexpr(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
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  if (CYTHON_COMPILING_IN_CPYTHON && likely((__pyx_freecount_11pomegranate_3hmm___pyx_scope_struct_6_genexpr > 0) & (t->tp_basicsize == sizeof(struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_6_genexpr)))) {
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    (void) PyObject_INIT(o, t);
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static void __pyx_tp_dealloc_11pomegranate_3hmm___pyx_scope_struct_6_genexpr(PyObject *o) {
  struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_6_genexpr *p = (struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_6_genexpr *)o;
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  Py_CLEAR(p->__pyx_outer_scope);
  Py_CLEAR(p->__pyx_v_batch);
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static int __pyx_tp_traverse_11pomegranate_3hmm___pyx_scope_struct_6_genexpr(PyObject *o, visitproc v, void *a) {
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}

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static struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_7_from_samples *__pyx_freelist_11pomegranate_3hmm___pyx_scope_struct_7_from_samples[8];
static int __pyx_freecount_11pomegranate_3hmm___pyx_scope_struct_7_from_samples = 0;

static PyObject *__pyx_tp_new_11pomegranate_3hmm___pyx_scope_struct_7_from_samples(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
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static void __pyx_tp_dealloc_11pomegranate_3hmm___pyx_scope_struct_7_from_samples(PyObject *o) {
  struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_7_from_samples *p = (struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_7_from_samples *)o;
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->__pyx_v_X_concat);
  if (CYTHON_COMPILING_IN_CPYTHON && ((__pyx_freecount_11pomegranate_3hmm___pyx_scope_struct_7_from_samples < 8) & (Py_TYPE(o)->tp_basicsize == sizeof(struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_7_from_samples)))) {
    __pyx_freelist_11pomegranate_3hmm___pyx_scope_struct_7_from_samples[__pyx_freecount_11pomegranate_3hmm___pyx_scope_struct_7_from_samples++] = ((struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_7_from_samples *)o);
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}

static int __pyx_tp_traverse_11pomegranate_3hmm___pyx_scope_struct_7_from_samples(PyObject *o, visitproc v, void *a) {
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  struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_7_from_samples *p = (struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_7_from_samples *)o;
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  }
  return 0;
}

static int __pyx_tp_clear_11pomegranate_3hmm___pyx_scope_struct_7_from_samples(PyObject *o) {
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}

static PyTypeObject __pyx_type_11pomegranate_3hmm___pyx_scope_struct_7_from_samples = {
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  __pyx_tp_dealloc_11pomegranate_3hmm___pyx_scope_struct_7_from_samples, /*tp_dealloc*/
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static struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_8_genexpr *__pyx_freelist_11pomegranate_3hmm___pyx_scope_struct_8_genexpr[8];
static int __pyx_freecount_11pomegranate_3hmm___pyx_scope_struct_8_genexpr = 0;

static PyObject *__pyx_tp_new_11pomegranate_3hmm___pyx_scope_struct_8_genexpr(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
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static void __pyx_tp_dealloc_11pomegranate_3hmm___pyx_scope_struct_8_genexpr(PyObject *o) {
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  Py_CLEAR(p->__pyx_outer_scope);
  Py_CLEAR(p->__pyx_v_i);
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  if (CYTHON_COMPILING_IN_CPYTHON && ((__pyx_freecount_11pomegranate_3hmm___pyx_scope_struct_8_genexpr < 8) & (Py_TYPE(o)->tp_basicsize == sizeof(struct __pyx_obj_11pomegranate_3hmm___pyx_scope_struct_8_genexpr)))) {
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static int __pyx_tp_traverse_11pomegranate_3hmm___pyx_scope_struct_8_genexpr(PyObject *o, visitproc v, void *a) {
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}

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  #endif
};
static struct __pyx_vtabstruct_array __pyx_vtable_array;

static PyObject *__pyx_tp_new_array(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_array_obj *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  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(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && (!PyType_IS_GC(Py_TYPE(o)) || !_PyGC_FINALIZED(o))) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  {
    PyObject *etype, *eval, *etb;
    PyErr_Fetch(&etype, &eval, &etb);
    ++Py_REFCNT(o);
    __pyx_array___dealloc__(o);
    --Py_REFCNT(o);
    PyErr_Restore(etype, eval, etb);
  }
  Py_CLEAR(p->mode);
  Py_CLEAR(p->_format);
  (*Py_TYPE(o)->tp_free)(o);
}
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 {
    PyErr_Format(PyExc_NotImplementedError,
      "Subscript deletion not supported by %.200s", Py_TYPE(o)->tp_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)__pyx_pw___pyx_array_1__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw___pyx_array_3__setstate_cython__, METH_O, 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}
};

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)
  "pomegranate.hmm.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, /*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*/
  0, /*tp_dictoffset*/
  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
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #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 (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_MemviewEnum_obj *)o);
  p->name = Py_None; Py_INCREF(Py_None);
  return o;
}

static void __pyx_tp_dealloc_Enum(PyObject *o) {
  struct __pyx_MemviewEnum_obj *p = (struct __pyx_MemviewEnum_obj *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->name);
  (*Py_TYPE(o)->tp_free)(o);
}

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 PyMethodDef __pyx_methods_Enum[] = {
  {"__reduce_cython__", (PyCFunction)__pyx_pw___pyx_MemviewEnum_1__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw___pyx_MemviewEnum_3__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};

static PyTypeObject __pyx_type___pyx_MemviewEnum = {
  PyVarObject_HEAD_INIT(0, 0)
  "pomegranate.hmm.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*/
  0, /*tp_dictoffset*/
  __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
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #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 (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_memoryview_obj *)o);
  p->__pyx_vtab = __pyx_vtabptr_memoryview;
  p->obj = Py_None; Py_INCREF(Py_None);
  p->_size = Py_None; Py_INCREF(Py_None);
  p->_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(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  {
    PyObject *etype, *eval, *etb;
    PyErr_Fetch(&etype, &eval, &etb);
    ++Py_REFCNT(o);
    __pyx_memoryview___dealloc__(o);
    --Py_REFCNT(o);
    PyErr_Restore(etype, eval, etb);
  }
  Py_CLEAR(p->obj);
  Py_CLEAR(p->_size);
  Py_CLEAR(p->_array_interface);
  (*Py_TYPE(o)->tp_free)(o);
}

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 {
    PyErr_Format(PyExc_NotImplementedError,
      "Subscript deletion not supported by %.200s", Py_TYPE(o)->tp_name);
    return -1;
  }
}

static PyObject *__pyx_getprop___pyx_memoryview_T(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_1T_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_base(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_4base_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_shape(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_5shape_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_strides(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_7strides_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_suboffsets(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_10suboffsets_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_ndim(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_4ndim_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_itemsize(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_8itemsize_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_nbytes(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_6nbytes_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_size(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_4size_1__get__(o);
}

static PyMethodDef __pyx_methods_memoryview[] = {
  {"is_c_contig", (PyCFunction)__pyx_memoryview_is_c_contig, METH_NOARGS, 0},
  {"is_f_contig", (PyCFunction)__pyx_memoryview_is_f_contig, METH_NOARGS, 0},
  {"copy", (PyCFunction)__pyx_memoryview_copy, METH_NOARGS, 0},
  {"copy_fortran", (PyCFunction)__pyx_memoryview_copy_fortran, METH_NOARGS, 0},
  {"__reduce_cython__", (PyCFunction)__pyx_pw___pyx_memoryview_1__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw___pyx_memoryview_3__setstate_cython__, METH_O, 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}
};

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)
  "pomegranate.hmm.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*/
  0, /*tp_dictoffset*/
  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
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #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(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  {
    PyObject *etype, *eval, *etb;
    PyErr_Fetch(&etype, &eval, &etb);
    ++Py_REFCNT(o);
    __pyx_memoryviewslice___dealloc__(o);
    --Py_REFCNT(o);
    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;
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  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_XDEC_MEMVIEW(&p->from_slice, 1);
  return 0;
}

static PyObject *__pyx_getprop___pyx_memoryviewslice_base(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_16_memoryviewslice_4base_1__get__(o);
}

static PyMethodDef __pyx_methods__memoryviewslice[] = {
  {"__reduce_cython__", (PyCFunction)__pyx_pw___pyx_memoryviewslice_1__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw___pyx_memoryviewslice_3__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets__memoryviewslice[] = {
  {(char *)"base", __pyx_getprop___pyx_memoryviewslice_base, 0, (char *)0, 0},
  {0, 0, 0, 0, 0}
};

static PyTypeObject __pyx_type___pyx_memoryviewslice = {
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  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*/
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  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY
  __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
  __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, /*tp_flags*/
  "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*/
  __pyx_getsets__memoryviewslice, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  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
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
};

static PyMethodDef __pyx_methods[] = {
  {0, 0, 0, 0}
};

#if PY_MAJOR_VERSION >= 3
#if CYTHON_PEP489_MULTI_PHASE_INIT
static PyObject* __pyx_pymod_create(PyObject *spec, PyModuleDef *def); /*proto*/
static int __pyx_pymod_exec_hmm(PyObject* module); /*proto*/
static PyModuleDef_Slot __pyx_moduledef_slots[] = {
  {Py_mod_create, (void*)__pyx_pymod_create},
  {Py_mod_exec, (void*)__pyx_pymod_exec_hmm},
  {0, NULL}
};
#endif

static struct PyModuleDef __pyx_moduledef = {
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    "hmm",
    0, /* m_doc */
  #if CYTHON_PEP489_MULTI_PHASE_INIT
    0, /* m_size */
  #else
    -1, /* m_size */
  #endif
    __pyx_methods /* m_methods */,
  #if CYTHON_PEP489_MULTI_PHASE_INIT
    __pyx_moduledef_slots, /* m_slots */
  #else
    NULL, /* m_reload */
  #endif
    NULL, /* m_traverse */
    NULL, /* m_clear */
    NULL /* m_free */
};
#endif
#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
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    /* 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;
}
#if 1 || PY_VERSION_HEX < 0x030600B1
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_EnterRecursiveCall((char*)" while calling a Python object")) {
        return NULL;
    }
    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
#endif

/* PyObjectCallMethO */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg) {
    PyObject *self, *result;
    PyCFunction cfunc;
    cfunc = PyCFunction_GET_FUNCTION(func);
    self = PyCFunction_GET_SELF(func);
    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
        return NULL;
    result = cfunc(self, arg);
    Py_LeaveRecursiveCall();
    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
        PyErr_SetString(
            PyExc_SystemError,
            "NULL result without error in PyObject_Call");
    }
    return result;
}
#endif

/* PyObjectCallOneArg */
#if CYTHON_COMPILING_IN_CPYTHON
static PyObject* __Pyx__PyObject_CallOneArg(PyObject *func, PyObject *arg) {
    PyObject *result;
    PyObject *args = PyTuple_New(1);
    if (unlikely(!args)) return NULL;
    Py_INCREF(arg);
    PyTuple_SET_ITEM(args, 0, arg);
    result = __Pyx_PyObject_Call(func, args, NULL);
    Py_DECREF(args);
    return result;
}
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
#if CYTHON_FAST_PYCALL
    if (PyFunction_Check(func)) {
        return __Pyx_PyFunction_FastCall(func, &arg, 1);
    }
#endif
    if (likely(PyCFunction_Check(func))) {
        if (likely(PyCFunction_GET_FLAGS(func) & METH_O)) {
            return __Pyx_PyObject_CallMethO(func, arg);
#if CYTHON_FAST_PYCCALL
        } else if (PyCFunction_GET_FLAGS(func) & METH_FASTCALL) {
            return __Pyx_PyCFunction_FastCall(func, &arg, 1);
#endif
        }
    }
    return __Pyx__PyObject_CallOneArg(func, arg);
}
#else
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
    PyObject *result;
    PyObject *args = PyTuple_Pack(1, arg);
    if (unlikely(!args)) return NULL;
    result = __Pyx_PyObject_Call(func, args, NULL);
    Py_DECREF(args);
    return result;
}
#endif

/* GetItemInt */
static PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j) {
    PyObject *r;
    if (!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 {
        PySequenceMethods *m = Py_TYPE(o)->tp_as_sequence;
        if (likely(m && m->sq_item)) {
            if (wraparound && unlikely(i < 0) && likely(m->sq_length)) {
                Py_ssize_t l = m->sq_length(o);
                if (likely(l >= 0)) {
                    i += l;
                } else {
                    if (!PyErr_ExceptionMatches(PyExc_OverflowError))
                        return NULL;
                    PyErr_Clear();
                }
            }
            return m->sq_item(o, i);
        }
    }
#else
    if (is_list || PySequence_Check(o)) {
        return PySequence_GetItem(o, i);
    }
#endif
    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
}

/* ObjectGetItem */
#if CYTHON_USE_TYPE_SLOTS
static PyObject *__Pyx_PyObject_GetIndex(PyObject *obj, PyObject* index) {
    PyObject *runerr;
    Py_ssize_t key_value;
    PySequenceMethods *m = Py_TYPE(obj)->tp_as_sequence;
    if (unlikely(!(m && m->sq_item))) {
        PyErr_Format(PyExc_TypeError, "'%.200s' object is not subscriptable", Py_TYPE(obj)->tp_name);
        return NULL;
    }
    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)) {
        PyErr_Clear();
        PyErr_Format(PyExc_IndexError, "cannot fit '%.200s' into an index-sized integer", Py_TYPE(index)->tp_name);
    }
    return NULL;
}
static PyObject *__Pyx_PyObject_GetItem(PyObject *obj, PyObject* key) {
    PyMappingMethods *m = Py_TYPE(obj)->tp_as_mapping;
    if (likely(m && m->mp_subscript)) {
        return m->mp_subscript(obj, key);
    }
    return __Pyx_PyObject_GetIndex(obj, key);
}
#endif

/* PyObjectCall2Args */
static CYTHON_UNUSED PyObject* __Pyx_PyObject_Call2Args(PyObject* function, PyObject* arg1, PyObject* arg2) {
    PyObject *args, *result = NULL;
    #if CYTHON_FAST_PYCALL
    if (PyFunction_Check(function)) {
        PyObject *args[2] = {arg1, arg2};
        return __Pyx_PyFunction_FastCall(function, args, 2);
    }
    #endif
    #if CYTHON_FAST_PYCCALL
    if (__Pyx_PyFastCFunction_Check(function)) {
        PyObject *args[2] = {arg1, arg2};
        return __Pyx_PyCFunction_FastCall(function, args, 2);
    }
    #endif
    args = PyTuple_New(2);
    if (unlikely(!args)) goto done;
    Py_INCREF(arg1);
    PyTuple_SET_ITEM(args, 0, arg1);
    Py_INCREF(arg2);
    PyTuple_SET_ITEM(args, 1, arg2);
    Py_INCREF(function);
    result = __Pyx_PyObject_Call(function, args, NULL);
    Py_DECREF(args);
    Py_DECREF(function);
done:
    return result;
}

/* PyErrFetchRestore */
#if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    tmp_type = tstate->curexc_type;
    tmp_value = tstate->curexc_value;
    tmp_tb = tstate->curexc_traceback;
    tstate->curexc_type = type;
    tstate->curexc_value = value;
    tstate->curexc_traceback = tb;
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
}
static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
    *type = tstate->curexc_type;
    *value = tstate->curexc_value;
    *tb = tstate->curexc_traceback;
    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
}
#endif

/* RaiseException */
#if PY_MAJOR_VERSION < 3
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb,
                        CYTHON_UNUSED PyObject *cause) {
    __Pyx_PyThreadState_declare
    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 CYTHON_COMPILING_IN_PYPY
        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);
#else
        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);
        }
#endif
    }
bad:
    Py_XDECREF(owned_instance);
    return;
}
#endif

/* SetItemInt */
static int __Pyx_SetItemInt_Generic(PyObject *o, PyObject *j, PyObject *v) {
    int r;
    if (!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 {
        PySequenceMethods *m = Py_TYPE(o)->tp_as_sequence;
        if (likely(m && m->sq_ass_item)) {
            if (wraparound && unlikely(i < 0) && likely(m->sq_length)) {
                Py_ssize_t l = m->sq_length(o);
                if (likely(l >= 0)) {
                    i += l;
                } else {
                    if (!PyErr_ExceptionMatches(PyExc_OverflowError))
                        return -1;
                    PyErr_Clear();
                }
            }
            return m->sq_ass_item(o, i, v);
        }
    }
#else
#if CYTHON_COMPILING_IN_PYPY
    if (is_list || (PySequence_Check(o) && !PyDict_Check(o)))
#else
    if (is_list || PySequence_Check(o))
#endif
    {
        return PySequence_SetItem(o, i, v);
    }
#endif
    return __Pyx_SetItemInt_Generic(o, PyInt_FromSsize_t(i), v);
}

/* PyObjectCallNoArg */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func) {
#if CYTHON_FAST_PYCALL
    if (PyFunction_Check(func)) {
        return __Pyx_PyFunction_FastCall(func, NULL, 0);
    }
#endif
#ifdef __Pyx_CyFunction_USED
    if (likely(PyCFunction_Check(func) || __Pyx_CyFunction_Check(func)))
#else
    if (likely(PyCFunction_Check(func)))
#endif
    {
        if (likely(PyCFunction_GET_FLAGS(func) & METH_NOARGS)) {
            return __Pyx_PyObject_CallMethO(func, NULL);
        }
    }
    return __Pyx_PyObject_Call(func, __pyx_empty_tuple, NULL);
}
#endif

/* WriteUnraisableException */
static void __Pyx_WriteUnraisable(const char *name, CYTHON_UNUSED int clineno,
                                  CYTHON_UNUSED int lineno, CYTHON_UNUSED const char *filename,
                                  int full_traceback, CYTHON_UNUSED int nogil) {
    PyObject *old_exc, *old_val, *old_tb;
    PyObject *ctx;
    __Pyx_PyThreadState_declare
#ifdef WITH_THREAD
    PyGILState_STATE state;
    if (nogil)
        state = PyGILState_Ensure();
#ifdef _MSC_VER
    else state = (PyGILState_STATE)-1;
#endif
#endif
    __Pyx_PyThreadState_assign
    __Pyx_ErrFetch(&old_exc, &old_val, &old_tb);
    if (full_traceback) {
        Py_XINCREF(old_exc);
        Py_XINCREF(old_val);
        Py_XINCREF(old_tb);
        __Pyx_ErrRestore(old_exc, old_val, old_tb);
        PyErr_PrintEx(1);
    }
    #if PY_MAJOR_VERSION < 3
    ctx = PyString_FromString(name);
    #else
    ctx = PyUnicode_FromString(name);
    #endif
    __Pyx_ErrRestore(old_exc, old_val, old_tb);
    if (!ctx) {
        PyErr_WriteUnraisable(Py_None);
    } else {
        PyErr_WriteUnraisable(ctx);
        Py_DECREF(ctx);
    }
#ifdef WITH_THREAD
    if (nogil)
        PyGILState_Release(state);
#endif
}

/* PyIntBinop */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_AddObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, int inplace, int zerodivision_check) {
    (void)inplace;
    (void)zerodivision_check;
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long x;
        long a = PyInt_AS_LONG(op1);
            x = (long)((unsigned long)a + b);
            if (likely((x^a) >= 0 || (x^b) >= 0))
                return PyInt_FromLong(x);
            return PyLong_Type.tp_as_number->nb_add(op1, op2);
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        const long b = intval;
        long a, x;
#ifdef HAVE_LONG_LONG
        const PY_LONG_LONG llb = intval;
        PY_LONG_LONG lla, llx;
#endif
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op1);
        if (likely(__Pyx_sst_abs(size) <= 1)) {
            a = likely(size) ? digits[0] : 0;
            if (size == -1) a = -a;
        } else {
            switch (size) {
                case -2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case 2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case -3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case 3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case -4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case 4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                default: return PyLong_Type.tp_as_number->nb_add(op1, op2);
            }
        }
                x = a + b;
            return PyLong_FromLong(x);
#ifdef HAVE_LONG_LONG
        long_long:
                llx = lla + llb;
            return PyLong_FromLongLong(llx);
#endif
        
        
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
        double a = PyFloat_AS_DOUBLE(op1);
            double result;
            PyFPE_START_PROTECT("add", return NULL)
            result = ((double)a) + (double)b;
            PyFPE_END_PROTECT(result)
            return PyFloat_FromDouble(result);
    }
    return (inplace ? PyNumber_InPlaceAdd : PyNumber_Add)(op1, op2);
}
#endif

/* 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
    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 PY_MAJOR_VERSION >= 3
        #ifdef __Pyx_CyFunction_USED
        if (likely(PyFunction_Check(descr) || (Py_TYPE(descr) == &PyMethodDescr_Type) || __Pyx_CyFunction_Check(descr)))
        #else
        if (likely(PyFunction_Check(descr) || (Py_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 (descr != NULL) {
        *method = descr;
        return 0;
    }
    PyErr_Format(PyExc_AttributeError,
#if PY_MAJOR_VERSION >= 3
                 "'%.50s' object has no attribute '%U'",
                 tp->tp_name, name);
#else
                 "'%.50s' object has no attribute '%.400s'",
                 tp->tp_name, PyString_AS_STRING(name));
#endif
    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;
}

/* PyObjectCallMethod1 */
static PyObject* __Pyx__PyObject_CallMethod1(PyObject* method, PyObject* arg) {
    PyObject *result = __Pyx_PyObject_CallOneArg(method, arg);
    Py_DECREF(method);
    return result;
}
static PyObject* __Pyx_PyObject_CallMethod1(PyObject* obj, PyObject* method_name, PyObject* arg) {
    PyObject *method = NULL, *result;
    int is_method = __Pyx_PyObject_GetMethod(obj, method_name, &method);
    if (likely(is_method)) {
        result = __Pyx_PyObject_Call2Args(method, obj, arg);
        Py_DECREF(method);
        return result;
    }
    if (unlikely(!method)) return NULL;
    return __Pyx__PyObject_CallMethod1(method, arg);
}

/* append */
static CYTHON_INLINE int __Pyx_PyObject_Append(PyObject* L, PyObject* x) {
    if (likely(PyList_CheckExact(L))) {
        if (unlikely(__Pyx_PyList_Append(L, x) < 0)) return -1;
    } else {
        PyObject* retval = __Pyx_PyObject_CallMethod1(L, __pyx_n_s_append, x);
        if (unlikely(!retval))
            return -1;
        Py_DECREF(retval);
    }
    return 0;
}

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

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

/* IterFinish */
static CYTHON_INLINE int __Pyx_IterFinish(void) {
#if CYTHON_FAST_THREAD_STATE
    PyThreadState *tstate = __Pyx_PyThreadState_Current;
    PyObject* exc_type = tstate->curexc_type;
    if (unlikely(exc_type)) {
        if (likely(__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration))) {
            PyObject *exc_value, *exc_tb;
            exc_value = tstate->curexc_value;
            exc_tb = tstate->curexc_traceback;
            tstate->curexc_type = 0;
            tstate->curexc_value = 0;
            tstate->curexc_traceback = 0;
            Py_DECREF(exc_type);
            Py_XDECREF(exc_value);
            Py_XDECREF(exc_tb);
            return 0;
        } else {
            return -1;
        }
    }
    return 0;
#else
    if (unlikely(PyErr_Occurred())) {
        if (likely(PyErr_ExceptionMatches(PyExc_StopIteration))) {
            PyErr_Clear();
            return 0;
        } else {
            return -1;
        }
    }
    return 0;
#endif
}

/* UnpackItemEndCheck */
static int __Pyx_IternextUnpackEndCheck(PyObject *retval, Py_ssize_t expected) {
    if (unlikely(retval)) {
        Py_DECREF(retval);
        __Pyx_RaiseTooManyValuesError(expected);
        return -1;
    } else {
        return __Pyx_IterFinish();
    }
    return 0;
}

/* DictGetItem */
#if PY_MAJOR_VERSION >= 3 && !CYTHON_COMPILING_IN_PYPY
static PyObject *__Pyx_PyDict_GetItem(PyObject *d, PyObject* key) {
    PyObject *value;
    value = PyDict_GetItemWithError(d, key);
    if (unlikely(!value)) {
        if (!PyErr_Occurred()) {
            if (unlikely(PyTuple_Check(key))) {
                PyObject* args = PyTuple_Pack(1, key);
                if (likely(args)) {
                    PyErr_SetObject(PyExc_KeyError, args);
                    Py_DECREF(args);
                }
            } else {
                PyErr_SetObject(PyExc_KeyError, key);
            }
        }
        return NULL;
    }
    Py_INCREF(value);
    return value;
}
#endif

/* UnpackUnboundCMethod */
static int __Pyx_TryUnpackUnboundCMethod(__Pyx_CachedCFunction* target) {
    PyObject *method;
    method = __Pyx_PyObject_GetAttrStr(target->type, *target->method_name);
    if (unlikely(!method))
        return -1;
    target->method = method;
#if CYTHON_COMPILING_IN_CPYTHON
    #if PY_MAJOR_VERSION >= 3
    if (likely(__Pyx_TypeCheck(method, &PyMethodDescr_Type)))
    #endif
    {
        PyMethodDescrObject *descr = (PyMethodDescrObject*) method;
        target->func = descr->d_method->ml_meth;
        target->flag = descr->d_method->ml_flags & ~(METH_CLASS | METH_STATIC | METH_COEXIST | METH_STACKLESS);
    }
#endif
    return 0;
}

/* CallUnboundCMethod1 */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_CallUnboundCMethod1(__Pyx_CachedCFunction* cfunc, PyObject* self, PyObject* arg) {
    if (likely(cfunc->func)) {
        int flag = cfunc->flag;
        if (flag == METH_O) {
            return (*(cfunc->func))(self, arg);
        } else if (PY_VERSION_HEX >= 0x030600B1 && flag == METH_FASTCALL) {
            if (PY_VERSION_HEX >= 0x030700A0) {
                return (*(__Pyx_PyCFunctionFast)(void*)(PyCFunction)cfunc->func)(self, &arg, 1);
            } else {
                return (*(__Pyx_PyCFunctionFastWithKeywords)(void*)(PyCFunction)cfunc->func)(self, &arg, 1, NULL);
            }
        } else if (PY_VERSION_HEX >= 0x030700A0 && flag == (METH_FASTCALL | METH_KEYWORDS)) {
            return (*(__Pyx_PyCFunctionFastWithKeywords)(void*)(PyCFunction)cfunc->func)(self, &arg, 1, NULL);
        }
    }
    return __Pyx__CallUnboundCMethod1(cfunc, self, arg);
}
#endif
static PyObject* __Pyx__CallUnboundCMethod1(__Pyx_CachedCFunction* cfunc, PyObject* self, PyObject* arg){
    PyObject *args, *result = NULL;
    if (unlikely(!cfunc->func && !cfunc->method) && unlikely(__Pyx_TryUnpackUnboundCMethod(cfunc) < 0)) return NULL;
#if CYTHON_COMPILING_IN_CPYTHON
    if (cfunc->func && (cfunc->flag & METH_VARARGS)) {
        args = PyTuple_New(1);
        if (unlikely(!args)) goto bad;
        Py_INCREF(arg);
        PyTuple_SET_ITEM(args, 0, arg);
        if (cfunc->flag & METH_KEYWORDS)
            result = (*(PyCFunctionWithKeywords)(void*)(PyCFunction)cfunc->func)(self, args, NULL);
        else
            result = (*cfunc->func)(self, args);
    } else {
        args = PyTuple_New(2);
        if (unlikely(!args)) goto bad;
        Py_INCREF(self);
        PyTuple_SET_ITEM(args, 0, self);
        Py_INCREF(arg);
        PyTuple_SET_ITEM(args, 1, arg);
        result = __Pyx_PyObject_Call(cfunc->method, args, NULL);
    }
#else
    args = PyTuple_Pack(2, self, arg);
    if (unlikely(!args)) goto bad;
    result = __Pyx_PyObject_Call(cfunc->method, args, NULL);
#endif
bad:
    Py_XDECREF(args);
    return result;
}

/* CallUnboundCMethod2 */
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030600B1
static CYTHON_INLINE PyObject *__Pyx_CallUnboundCMethod2(__Pyx_CachedCFunction *cfunc, PyObject *self, PyObject *arg1, PyObject *arg2) {
    if (likely(cfunc->func)) {
        PyObject *args[2] = {arg1, arg2};
        if (cfunc->flag == METH_FASTCALL) {
            #if PY_VERSION_HEX >= 0x030700A0
            return (*(__Pyx_PyCFunctionFast)(void*)(PyCFunction)cfunc->func)(self, args, 2);
            #else
            return (*(__Pyx_PyCFunctionFastWithKeywords)(void*)(PyCFunction)cfunc->func)(self, args, 2, NULL);
            #endif
        }
        #if PY_VERSION_HEX >= 0x030700A0
        if (cfunc->flag == (METH_FASTCALL | METH_KEYWORDS))
            return (*(__Pyx_PyCFunctionFastWithKeywords)(void*)(PyCFunction)cfunc->func)(self, args, 2, NULL);
        #endif
    }
    return __Pyx__CallUnboundCMethod2(cfunc, self, arg1, arg2);
}
#endif
static PyObject* __Pyx__CallUnboundCMethod2(__Pyx_CachedCFunction* cfunc, PyObject* self, PyObject* arg1, PyObject* arg2){
    PyObject *args, *result = NULL;
    if (unlikely(!cfunc->func && !cfunc->method) && unlikely(__Pyx_TryUnpackUnboundCMethod(cfunc) < 0)) return NULL;
#if CYTHON_COMPILING_IN_CPYTHON
    if (cfunc->func && (cfunc->flag & METH_VARARGS)) {
        args = PyTuple_New(2);
        if (unlikely(!args)) goto bad;
        Py_INCREF(arg1);
        PyTuple_SET_ITEM(args, 0, arg1);
        Py_INCREF(arg2);
        PyTuple_SET_ITEM(args, 1, arg2);
        if (cfunc->flag & METH_KEYWORDS)
            result = (*(PyCFunctionWithKeywords)(void*)(PyCFunction)cfunc->func)(self, args, NULL);
        else
            result = (*cfunc->func)(self, args);
    } else {
        args = PyTuple_New(3);
        if (unlikely(!args)) goto bad;
        Py_INCREF(self);
        PyTuple_SET_ITEM(args, 0, self);
        Py_INCREF(arg1);
        PyTuple_SET_ITEM(args, 1, arg1);
        Py_INCREF(arg2);
        PyTuple_SET_ITEM(args, 2, arg2);
        result = __Pyx_PyObject_Call(cfunc->method, args, NULL);
    }
#else
    args = PyTuple_Pack(3, self, arg1, arg2);
    if (unlikely(!args)) goto bad;
    result = __Pyx_PyObject_Call(cfunc->method, args, NULL);
#endif
bad:
    Py_XDECREF(args);
    return result;
}

/* dict_getitem_default */
static PyObject* __Pyx_PyDict_GetItemDefault(PyObject* d, PyObject* key, PyObject* default_value) {
    PyObject* value;
#if PY_MAJOR_VERSION >= 3 && !CYTHON_COMPILING_IN_PYPY
    value = PyDict_GetItemWithError(d, key);
    if (unlikely(!value)) {
        if (unlikely(PyErr_Occurred()))
            return NULL;
        value = default_value;
    }
    Py_INCREF(value);
    if ((1));
#else
    if (PyString_CheckExact(key) || PyUnicode_CheckExact(key) || PyInt_CheckExact(key)) {
        value = PyDict_GetItem(d, key);
        if (unlikely(!value)) {
            value = default_value;
        }
        Py_INCREF(value);
    }
#endif
    else {
        if (default_value == Py_None)
            value = __Pyx_CallUnboundCMethod1(&__pyx_umethod_PyDict_Type_get, d, key);
        else
            value = __Pyx_CallUnboundCMethod2(&__pyx_umethod_PyDict_Type_get, d, key, default_value);
    }
    return value;
}

/* KeywordStringCheck */
static int __Pyx_CheckKeywordStrings(
    PyObject *kwdict,
    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(kwdict, &pos, &key, 0))
        goto invalid_keyword;
    return 1;
#else
    while (PyDict_Next(kwdict, &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:
    PyErr_Format(PyExc_TypeError,
    #if PY_MAJOR_VERSION < 3
        "%.200s() got an unexpected keyword argument '%.200s'",
        function_name, PyString_AsString(key));
    #else
        "%s() got an unexpected keyword argument '%U'",
        function_name, key);
    #endif
    return 0;
}

/* PyObjectSetAttrStr */
#if CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE int __Pyx_PyObject_SetAttrStr(PyObject* obj, PyObject* attr_name, PyObject* value) {
    PyTypeObject* tp = Py_TYPE(obj);
    if (likely(tp->tp_setattro))
        return tp->tp_setattro(obj, attr_name, value);
#if PY_MAJOR_VERSION < 3
    if (likely(tp->tp_setattr))
        return tp->tp_setattr(obj, PyString_AS_STRING(attr_name), value);
#endif
    return PyObject_SetAttr(obj, attr_name, value);
}
#endif

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

/* GetTopmostException */
#if CYTHON_USE_EXC_INFO_STACK
static _PyErr_StackItem *
__Pyx_PyErr_GetTopmostException(PyThreadState *tstate)
{
    _PyErr_StackItem *exc_info = tstate->exc_info;
    while ((exc_info->exc_type == NULL || exc_info->exc_type == 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
    _PyErr_StackItem *exc_info = __Pyx_PyErr_GetTopmostException(tstate);
    *type = exc_info->exc_type;
    *value = exc_info->exc_value;
    *tb = exc_info->exc_traceback;
    #else
    *type = tstate->exc_type;
    *value = tstate->exc_value;
    *tb = tstate->exc_traceback;
    #endif
    Py_XINCREF(*type);
    Py_XINCREF(*value);
    Py_XINCREF(*tb);
}
static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
    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

/* PyErrExceptionMatches */
#if CYTHON_FAST_THREAD_STATE
static int __Pyx_PyErr_ExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
    Py_ssize_t i, n;
    n = PyTuple_GET_SIZE(tuple);
#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++) {
        if (__Pyx_PyErr_GivenExceptionMatches(exc_type, PyTuple_GET_ITEM(tuple, i))) return 1;
    }
    return 0;
}
static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err) {
    PyObject *exc_type = tstate->curexc_type;
    if (exc_type == err) return 1;
    if (unlikely(!exc_type)) return 0;
    if (unlikely(PyTuple_Check(err)))
        return __Pyx_PyErr_ExceptionMatchesTuple(exc_type, err);
    return __Pyx_PyErr_GivenExceptionMatches(exc_type, err);
}
#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, *local_value, *local_tb;
#if CYTHON_FAST_THREAD_STATE
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    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;
#else
    PyErr_Fetch(&local_type, &local_value, &local_tb);
#endif
    PyErr_NormalizeException(&local_type, &local_value, &local_tb);
#if CYTHON_FAST_THREAD_STATE
    if (unlikely(tstate->curexc_type))
#else
    if (unlikely(PyErr_Occurred()))
#endif
        goto bad;
    #if 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;
        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;
    }
    #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;
}

/* None */
static CYTHON_INLINE void __Pyx_RaiseUnboundLocalError(const char *varname) {
    PyErr_Format(PyExc_UnboundLocalError, "local variable '%s' referenced before assignment", varname);
}

/* None */
static CYTHON_INLINE void __Pyx_RaiseClosureNameError(const char *varname) {
    PyErr_Format(PyExc_NameError, "free variable '%s' referenced before assignment in enclosing scope", varname);
}

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

/* UnicodeEquals */
static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals) {
#if CYTHON_COMPILING_IN_PYPY
    return PyObject_RichCompareBool(s1, s2, equals);
#else
#if PY_MAJOR_VERSION < 3
    PyObject* owned_ref = NULL;
#endif
    int s1_is_unicode, s2_is_unicode;
    if (s1 == s2) {
        goto return_eq;
    }
    s1_is_unicode = PyUnicode_CheckExact(s1);
    s2_is_unicode = PyUnicode_CheckExact(s2);
#if PY_MAJOR_VERSION < 3
    if ((s1_is_unicode & (!s2_is_unicode)) && PyString_CheckExact(s2)) {
        owned_ref = PyUnicode_FromObject(s2);
        if (unlikely(!owned_ref))
            return -1;
        s2 = owned_ref;
        s2_is_unicode = 1;
    } else if ((s2_is_unicode & (!s1_is_unicode)) && PyString_CheckExact(s1)) {
        owned_ref = PyUnicode_FromObject(s1);
        if (unlikely(!owned_ref))
            return -1;
        s1 = owned_ref;
        s1_is_unicode = 1;
    } else if (((!s2_is_unicode) & (!s1_is_unicode))) {
        return __Pyx_PyBytes_Equals(s1, s2, equals);
    }
#endif
    if (s1_is_unicode & s2_is_unicode) {
        Py_ssize_t length;
        int kind;
        void *data1, *data2;
        if (unlikely(__Pyx_PyUnicode_READY(s1) < 0) || unlikely(__Pyx_PyUnicode_READY(s2) < 0))
            return -1;
        length = __Pyx_PyUnicode_GET_LENGTH(s1);
        if (length != __Pyx_PyUnicode_GET_LENGTH(s2)) {
            goto return_ne;
        }
#if CYTHON_USE_UNICODE_INTERNALS
        {
            Py_hash_t hash1, hash2;
        #if CYTHON_PEP393_ENABLED
            hash1 = ((PyASCIIObject*)s1)->hash;
            hash2 = ((PyASCIIObject*)s2)->hash;
        #else
            hash1 = ((PyUnicodeObject*)s1)->hash;
            hash2 = ((PyUnicodeObject*)s2)->hash;
        #endif
            if (hash1 != hash2 && hash1 != -1 && hash2 != -1) {
                goto return_ne;
            }
        }
#endif
        kind = __Pyx_PyUnicode_KIND(s1);
        if (kind != __Pyx_PyUnicode_KIND(s2)) {
            goto return_ne;
        }
        data1 = __Pyx_PyUnicode_DATA(s1);
        data2 = __Pyx_PyUnicode_DATA(s2);
        if (__Pyx_PyUnicode_READ(kind, data1, 0) != __Pyx_PyUnicode_READ(kind, data2, 0)) {
            goto return_ne;
        } else if (length == 1) {
            goto return_eq;
        } else {
            int result = memcmp(data1, data2, (size_t)(length * kind));
            #if PY_MAJOR_VERSION < 3
            Py_XDECREF(owned_ref);
            #endif
            return (equals == Py_EQ) ? (result == 0) : (result != 0);
        }
    } else if ((s1 == Py_None) & s2_is_unicode) {
        goto return_ne;
    } else if ((s2 == Py_None) & s1_is_unicode) {
        goto return_ne;
    } else {
        int result;
        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
        #if PY_MAJOR_VERSION < 3
        Py_XDECREF(owned_ref);
        #endif
        if (!py_result)
            return -1;
        result = __Pyx_PyObject_IsTrue(py_result);
        Py_DECREF(py_result);
        return result;
    }
return_eq:
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(owned_ref);
    #endif
    return (equals == Py_EQ);
return_ne:
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(owned_ref);
    #endif
    return (equals == Py_NE);
#endif
}

/* PyIntCompare */
static CYTHON_INLINE PyObject* __Pyx_PyInt_EqObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, CYTHON_UNUSED long inplace) {
    if (op1 == op2) {
        Py_RETURN_TRUE;
    }
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long a = PyInt_AS_LONG(op1);
        if (a == b) Py_RETURN_TRUE; else Py_RETURN_FALSE;
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        int unequal;
        unsigned long uintval;
        Py_ssize_t size = Py_SIZE(op1);
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        if (intval == 0) {
            if (size == 0) Py_RETURN_TRUE; else Py_RETURN_FALSE;
        } else if (intval < 0) {
            if (size >= 0)
                Py_RETURN_FALSE;
            intval = -intval;
            size = -size;
        } else {
            if (size <= 0)
                Py_RETURN_FALSE;
        }
        uintval = (unsigned long) intval;
#if PyLong_SHIFT * 4 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 4)) {
            unequal = (size != 5) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[4] != ((uintval >> (4 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 3 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 3)) {
            unequal = (size != 4) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 2 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 2)) {
            unequal = (size != 3) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 1 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 1)) {
            unequal = (size != 2) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
            unequal = (size != 1) || (((unsigned long) digits[0]) != (uintval & (unsigned long) PyLong_MASK));
        if (unequal == 0) Py_RETURN_TRUE; else Py_RETURN_FALSE;
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
        double a = PyFloat_AS_DOUBLE(op1);
        if ((double)a == (double)b) Py_RETURN_TRUE; else Py_RETURN_FALSE;
    }
    return (
        PyObject_RichCompare(op1, op2, Py_EQ));
}

/* PyFloatBinop */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyFloat_NeObjC(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check) {
    const double b = floatval;
    double a;
    (void)inplace;
    (void)zerodivision_check;
    if (op1 == op2) {
        Py_RETURN_FALSE;
    }
    if (likely(PyFloat_CheckExact(op1))) {
        a = PyFloat_AS_DOUBLE(op1);
        
    } else
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        a = (double) PyInt_AS_LONG(op1);
        
    } else
    #endif
    if (likely(PyLong_CheckExact(op1))) {
        #if CYTHON_USE_PYLONG_INTERNALS
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op1);
        switch (size) {
            case  0: a = 0.0; break;
            case -1: a = -(double) digits[0]; break;
            case  1: a = (double) digits[0]; break;
            case -2:
            case 2:
                if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (1 * PyLong_SHIFT < 53))) {
                    a = (double) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -2)
                            a = -a;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            case -3:
            case 3:
                if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53))) {
                    a = (double) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -3)
                            a = -a;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            case -4:
            case 4:
                if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53))) {
                    a = (double) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (4 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -4)
                            a = -a;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            default:
        #else
        {
        #endif
            return (
                PyFloat_Type.tp_richcompare(op2, op1, Py_NE));
        }
    } else {
        return (
            PyObject_RichCompare(op1, op2, Py_NE));
    }
        if (a != b) {
            Py_RETURN_TRUE;
        } else {
            Py_RETURN_FALSE;
        }
}
#endif

/* PyFloatBinop */
  #if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyFloat_EqObjC(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check) {
    const double b = floatval;
    double a;
    (void)inplace;
    (void)zerodivision_check;
    if (op1 == op2) {
        Py_RETURN_TRUE;
    }
    if (likely(PyFloat_CheckExact(op1))) {
        a = PyFloat_AS_DOUBLE(op1);
        
    } else
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        a = (double) PyInt_AS_LONG(op1);
        
    } else
    #endif
    if (likely(PyLong_CheckExact(op1))) {
        #if CYTHON_USE_PYLONG_INTERNALS
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op1);
        switch (size) {
            case  0: a = 0.0; break;
            case -1: a = -(double) digits[0]; break;
            case  1: a = (double) digits[0]; break;
            case -2:
            case 2:
                if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (1 * PyLong_SHIFT < 53))) {
                    a = (double) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -2)
                            a = -a;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            case -3:
            case 3:
                if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53))) {
                    a = (double) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -3)
                            a = -a;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            case -4:
            case 4:
                if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53))) {
                    a = (double) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (4 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -4)
                            a = -a;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            default:
        #else
        {
        #endif
            return (
                PyFloat_Type.tp_richcompare(op2, op1, Py_EQ));
        }
    } else {
        return (
            PyObject_RichCompare(op1, op2, Py_EQ));
    }
        if (a == b) {
            Py_RETURN_TRUE;
        } else {
            Py_RETURN_FALSE;
        }
}
#endif

/* 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 (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];
#ifdef 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 *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 *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)
{
    int first_time;
    struct __pyx_memoryview_obj *memview = memslice->memview;
    if (!memview || (PyObject *) memview == Py_None)
        return;
    if (__pyx_get_slice_count(memview) < 0)
        __pyx_fatalerror("Acquisition count is %d (line %d)",
                         __pyx_get_slice_count(memview), lineno);
    first_time = __pyx_add_acquisition_count(memview) == 0;
    if (first_time) {
        if (have_gil) {
            Py_INCREF((PyObject *) memview);
        } else {
            PyGILState_STATE _gilstate = PyGILState_Ensure();
            Py_INCREF((PyObject *) memview);
            PyGILState_Release(_gilstate);
        }
    }
}
static CYTHON_INLINE void __Pyx_XDEC_MEMVIEW(__Pyx_memviewslice *memslice,
                                             int have_gil, int lineno) {
    int last_time;
    struct __pyx_memoryview_obj *memview = memslice->memview;
    if (!memview ) {
        return;
    } else if ((PyObject *) memview == Py_None) {
        memslice->memview = NULL;
        return;
    }
    if (__pyx_get_slice_count(memview) <= 0)
        __pyx_fatalerror("Acquisition count is %d (line %d)",
                         __pyx_get_slice_count(memview), lineno);
    last_time = __pyx_sub_acquisition_count(memview) == 1;
    memslice->data = NULL;
    if (last_time) {
        if (have_gil) {
            Py_CLEAR(memslice->memview);
        } else {
            PyGILState_STATE _gilstate = PyGILState_Ensure();
            Py_CLEAR(memslice->memview);
            PyGILState_Release(_gilstate);
        }
    } else {
        memslice->memview = NULL;
    }
}

/* CallUnboundCMethod0 */
    static PyObject* __Pyx__CallUnboundCMethod0(__Pyx_CachedCFunction* cfunc, PyObject* self) {
    PyObject *args, *result = NULL;
    if (unlikely(!cfunc->method) && unlikely(__Pyx_TryUnpackUnboundCMethod(cfunc) < 0)) return NULL;
#if CYTHON_ASSUME_SAFE_MACROS
    args = PyTuple_New(1);
    if (unlikely(!args)) goto bad;
    Py_INCREF(self);
    PyTuple_SET_ITEM(args, 0, self);
#else
    args = PyTuple_Pack(1, self);
    if (unlikely(!args)) goto bad;
#endif
    result = __Pyx_PyObject_Call(cfunc->method, args, NULL);
    Py_DECREF(args);
bad:
    return result;
}

/* py_dict_values */
    static CYTHON_INLINE PyObject* __Pyx_PyDict_Values(PyObject* d) {
    if (PY_MAJOR_VERSION >= 3)
        return __Pyx_CallUnboundCMethod0(&__pyx_umethod_PyDict_Type_values, d);
    else
        return PyDict_Values(d);
}

/* py_dict_keys */
    static CYTHON_INLINE PyObject* __Pyx_PyDict_Keys(PyObject* d) {
    if (PY_MAJOR_VERSION >= 3)
        return __Pyx_CallUnboundCMethod0(&__pyx_umethod_PyDict_Type_keys, d);
    else
        return PyDict_Keys(d);
}

/* py_dict_items */
    static CYTHON_INLINE PyObject* __Pyx_PyDict_Items(PyObject* d) {
    if (PY_MAJOR_VERSION >= 3)
        return __Pyx_CallUnboundCMethod0(&__pyx_umethod_PyDict_Type_items, d);
    else
        return PyDict_Items(d);
}

/* SliceTupleAndList */
    #if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE void __Pyx_crop_slice(Py_ssize_t* _start, Py_ssize_t* _stop, Py_ssize_t* _length) {
    Py_ssize_t start = *_start, stop = *_stop, length = *_length;
    if (start < 0) {
        start += length;
        if (start < 0)
            start = 0;
    }
    if (stop < 0)
        stop += length;
    else if (stop > length)
        stop = length;
    *_length = stop - start;
    *_start = start;
    *_stop = stop;
}
static CYTHON_INLINE void __Pyx_copy_object_array(PyObject** CYTHON_RESTRICT src, PyObject** CYTHON_RESTRICT dest, Py_ssize_t length) {
    PyObject *v;
    Py_ssize_t i;
    for (i = 0; i < length; i++) {
        v = dest[i] = src[i];
        Py_INCREF(v);
    }
}
static CYTHON_INLINE PyObject* __Pyx_PyList_GetSlice(
            PyObject* src, Py_ssize_t start, Py_ssize_t stop) {
    PyObject* dest;
    Py_ssize_t length = PyList_GET_SIZE(src);
    __Pyx_crop_slice(&start, &stop, &length);
    if (unlikely(length <= 0))
        return PyList_New(0);
    dest = PyList_New(length);
    if (unlikely(!dest))
        return NULL;
    __Pyx_copy_object_array(
        ((PyListObject*)src)->ob_item + start,
        ((PyListObject*)dest)->ob_item,
        length);
    return dest;
}
static CYTHON_INLINE PyObject* __Pyx_PyTuple_GetSlice(
            PyObject* src, Py_ssize_t start, Py_ssize_t stop) {
    PyObject* dest;
    Py_ssize_t length = PyTuple_GET_SIZE(src);
    __Pyx_crop_slice(&start, &stop, &length);
    if (unlikely(length <= 0))
        return PyTuple_New(0);
    dest = PyTuple_New(length);
    if (unlikely(!dest))
        return NULL;
    __Pyx_copy_object_array(
        ((PyTupleObject*)src)->ob_item + start,
        ((PyTupleObject*)dest)->ob_item,
        length);
    return dest;
}
#endif

/* set_iter */
    static CYTHON_INLINE PyObject* __Pyx_set_iterator(PyObject* iterable, int is_set,
                                                  Py_ssize_t* p_orig_length, int* p_source_is_set) {
#if CYTHON_COMPILING_IN_CPYTHON
    is_set = is_set || likely(PySet_CheckExact(iterable) || PyFrozenSet_CheckExact(iterable));
    *p_source_is_set = is_set;
    if (likely(is_set)) {
        *p_orig_length = PySet_Size(iterable);
        Py_INCREF(iterable);
        return iterable;
    }
#else
    (void)is_set;
    *p_source_is_set = 0;
#endif
    *p_orig_length = 0;
    return PyObject_GetIter(iterable);
}
static CYTHON_INLINE int __Pyx_set_iter_next(
        PyObject* iter_obj, Py_ssize_t orig_length,
        Py_ssize_t* ppos, PyObject **value,
        int source_is_set) {
    if (!CYTHON_COMPILING_IN_CPYTHON || unlikely(!source_is_set)) {
        *value = PyIter_Next(iter_obj);
        if (unlikely(!*value)) {
            return __Pyx_IterFinish();
        }
        (void)orig_length;
        (void)ppos;
        return 1;
    }
#if CYTHON_COMPILING_IN_CPYTHON
    if (unlikely(PySet_GET_SIZE(iter_obj) != orig_length)) {
        PyErr_SetString(
            PyExc_RuntimeError,
            "set changed size during iteration");
        return -1;
    }
    {
        Py_hash_t hash;
        int ret = _PySet_NextEntry(iter_obj, ppos, value, &hash);
        assert (ret != -1);
        if (likely(ret)) {
            Py_INCREF(*value);
            return 1;
        }
    }
#endif
    return 0;
}

/* ExtTypeTest */
    static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type) {
    if (unlikely(!type)) {
        PyErr_SetString(PyExc_SystemError, "Missing type object");
        return 0;
    }
    if (likely(__Pyx_TypeCheck(obj, type)))
        return 1;
    PyErr_Format(PyExc_TypeError, "Cannot convert %.200s to %.200s",
                 Py_TYPE(obj)->tp_name, type->tp_name);
    return 0;
}

/* PyIntBinop */
    #if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_SubtractCObj(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, int inplace, int zerodivision_check) {
    (void)inplace;
    (void)zerodivision_check;
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op2))) {
        const long a = intval;
        long x;
        long b = PyInt_AS_LONG(op2);
            x = (long)((unsigned long)a - b);
            if (likely((x^a) >= 0 || (x^~b) >= 0))
                return PyInt_FromLong(x);
            return PyLong_Type.tp_as_number->nb_subtract(op1, op2);
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op2))) {
        const long a = intval;
        long b, x;
#ifdef HAVE_LONG_LONG
        const PY_LONG_LONG lla = intval;
        PY_LONG_LONG llb, llx;
#endif
        const digit* digits = ((PyLongObject*)op2)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op2);
        if (likely(__Pyx_sst_abs(size) <= 1)) {
            b = likely(size) ? digits[0] : 0;
            if (size == -1) b = -b;
        } else {
            switch (size) {
                case -2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        b = -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        llb = -(PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case 2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        b = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        llb = (PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case -3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        b = -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        llb = -(PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case 3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        b = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        llb = (PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case -4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        b = -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        llb = -(PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case 4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        b = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        llb = (PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                default: return PyLong_Type.tp_as_number->nb_subtract(op1, op2);
            }
        }
                x = a - b;
            return PyLong_FromLong(x);
#ifdef HAVE_LONG_LONG
        long_long:
                llx = lla - llb;
            return PyLong_FromLongLong(llx);
#endif
        
        
    }
    #endif
    if (PyFloat_CheckExact(op2)) {
        const long a = intval;
        double b = PyFloat_AS_DOUBLE(op2);
            double result;
            PyFPE_START_PROTECT("subtract", return NULL)
            result = ((double)a) - (double)b;
            PyFPE_END_PROTECT(result)
            return PyFloat_FromDouble(result);
    }
    return (inplace ? PyNumber_InPlaceSubtract : PyNumber_Subtract)(op1, op2);
}
#endif

/* ArgTypeTest */
    static int __Pyx__ArgTypeTest(PyObject *obj, PyTypeObject *type, const char *name, int exact)
{
    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;
    }
    PyErr_Format(PyExc_TypeError,
        "Argument '%.200s' has incorrect type (expected %.200s, got %.200s)",
        name, type->tp_name, Py_TYPE(obj)->tp_name);
    return 0;
}

/* PyIntCompare */
    static CYTHON_INLINE PyObject* __Pyx_PyInt_NeObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, CYTHON_UNUSED long inplace) {
    if (op1 == op2) {
        Py_RETURN_FALSE;
    }
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long a = PyInt_AS_LONG(op1);
        if (a != b) Py_RETURN_TRUE; else Py_RETURN_FALSE;
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        int unequal;
        unsigned long uintval;
        Py_ssize_t size = Py_SIZE(op1);
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        if (intval == 0) {
            if (size != 0) Py_RETURN_TRUE; else Py_RETURN_FALSE;
        } else if (intval < 0) {
            if (size >= 0)
                Py_RETURN_TRUE;
            intval = -intval;
            size = -size;
        } else {
            if (size <= 0)
                Py_RETURN_TRUE;
        }
        uintval = (unsigned long) intval;
#if PyLong_SHIFT * 4 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 4)) {
            unequal = (size != 5) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[4] != ((uintval >> (4 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 3 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 3)) {
            unequal = (size != 4) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 2 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 2)) {
            unequal = (size != 3) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 1 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 1)) {
            unequal = (size != 2) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
            unequal = (size != 1) || (((unsigned long) digits[0]) != (uintval & (unsigned long) PyLong_MASK));
        if (unequal != 0) Py_RETURN_TRUE; else Py_RETURN_FALSE;
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
        double a = PyFloat_AS_DOUBLE(op1);
        if ((double)a != (double)b) Py_RETURN_TRUE; else Py_RETURN_FALSE;
    }
    return (
        PyObject_RichCompare(op1, op2, Py_NE));
}

/* IterNext */
    static PyObject *__Pyx_PyIter_Next2Default(PyObject* defval) {
    PyObject* exc_type;
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    exc_type = __Pyx_PyErr_Occurred();
    if (unlikely(exc_type)) {
        if (!defval || unlikely(!__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration)))
            return NULL;
        __Pyx_PyErr_Clear();
        Py_INCREF(defval);
        return defval;
    }
    if (defval) {
        Py_INCREF(defval);
        return defval;
    }
    __Pyx_PyErr_SetNone(PyExc_StopIteration);
    return NULL;
}
static void __Pyx_PyIter_Next_ErrorNoIterator(PyObject *iterator) {
    PyErr_Format(PyExc_TypeError,
        "%.200s object is not an iterator", Py_TYPE(iterator)->tp_name);
}
static CYTHON_INLINE PyObject *__Pyx_PyIter_Next2(PyObject* iterator, PyObject* defval) {
    PyObject* next;
    iternextfunc iternext = Py_TYPE(iterator)->tp_iternext;
    if (likely(iternext)) {
#if CYTHON_USE_TYPE_SLOTS
        next = iternext(iterator);
        if (likely(next))
            return next;
        #if PY_VERSION_HEX >= 0x02070000
        if (unlikely(iternext == &_PyObject_NextNotImplemented))
            return NULL;
        #endif
#else
        next = PyIter_Next(iterator);
        if (likely(next))
            return next;
#endif
    } else if (CYTHON_USE_TYPE_SLOTS || unlikely(!PyIter_Check(iterator))) {
        __Pyx_PyIter_Next_ErrorNoIterator(iterator);
        return NULL;
    }
#if !CYTHON_USE_TYPE_SLOTS
    else {
        next = PyIter_Next(iterator);
        if (likely(next))
            return next;
    }
#endif
    return __Pyx_PyIter_Next2Default(defval);
}

/* 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);
}

/* decode_c_string */
    static CYTHON_INLINE PyObject* __Pyx_decode_c_string(
         const char* cstring, Py_ssize_t start, Py_ssize_t stop,
         const char* encoding, const char* errors,
         PyObject* (*decode_func)(const char *s, Py_ssize_t size, const char *errors)) {
    Py_ssize_t length;
    if (unlikely((start < 0) | (stop < 0))) {
        size_t slen = strlen(cstring);
        if (unlikely(slen > (size_t) PY_SSIZE_T_MAX)) {
            PyErr_SetString(PyExc_OverflowError,
                            "c-string too long to convert to Python");
            return NULL;
        }
        length = (Py_ssize_t) slen;
        if (start < 0) {
            start += length;
            if (start < 0)
                start = 0;
        }
        if (stop < 0)
            stop += length;
    }
    length = stop - start;
    if (unlikely(length <= 0))
        return PyUnicode_FromUnicode(NULL, 0);
    cstring += start;
    if (decode_func) {
        return decode_func(cstring, length, errors);
    } else {
        return PyUnicode_Decode(cstring, length, encoding, errors);
    }
}

/* GetAttr3 */
    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;
}
static CYTHON_INLINE PyObject *__Pyx_GetAttr3(PyObject *o, PyObject *n, PyObject *d) {
    PyObject *r = __Pyx_GetAttr(o, n);
    return (likely(r)) ? r : __Pyx_GetAttr3Default(d);
}

/* RaiseNoneIterError */
    static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void) {
    PyErr_SetString(PyExc_TypeError, "'NoneType' object is not iterable");
}

/* 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
    _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

/* FastTypeChecks */
    #if CYTHON_COMPILING_IN_CPYTHON
static int __Pyx_InBases(PyTypeObject *a, PyTypeObject *b) {
    while (a) {
        a = a->tp_base;
        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);
}
#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) {
    int res = exc_type1 ? __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type1) : 0;
    if (!res) {
        res = __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type2);
    }
    return res;
}
#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

/* ImportFrom */
    static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name) {
    PyObject* value = __Pyx_PyObject_GetAttrStr(module, name);
    if (unlikely(!value) && PyErr_ExceptionMatches(PyExc_AttributeError)) {
        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 (unlikely(!r)) {
        PyErr_Clear();
        return 0;
    } else {
        Py_DECREF(r);
        return 1;
    }
}

/* CallNextTpDealloc */
    static void __Pyx_call_next_tp_dealloc(PyObject* obj, destructor current_tp_dealloc) {
    PyTypeObject* type = Py_TYPE(obj);
    while (type && type->tp_dealloc != current_tp_dealloc)
        type = type->tp_base;
    while (type && type->tp_dealloc == current_tp_dealloc)
        type = type->tp_base;
    if (type)
        type->tp_dealloc(obj);
}

/* CallNextTpTraverse */
    static int __Pyx_call_next_tp_traverse(PyObject* obj, visitproc v, void *a, traverseproc current_tp_traverse) {
    PyTypeObject* type = Py_TYPE(obj);
    while (type && type->tp_traverse != current_tp_traverse)
        type = type->tp_base;
    while (type && type->tp_traverse == current_tp_traverse)
        type = type->tp_base;
    if (type && type->tp_traverse)
        return type->tp_traverse(obj, v, a);
    return 0;
}

/* CallNextTpClear */
    static void __Pyx_call_next_tp_clear(PyObject* obj, inquiry current_tp_clear) {
    PyTypeObject* type = Py_TYPE(obj);
    while (type && type->tp_clear != current_tp_clear)
        type = type->tp_base;
    while (type && type->tp_clear == current_tp_clear)
        type = type->tp_base;
    if (type && type->tp_clear)
        type->tp_clear(obj);
}

/* PyObject_GenericGetAttrNoDict */
    #if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
static PyObject *__Pyx_RaiseGenericGetAttributeError(PyTypeObject *tp, PyObject *attr_name) {
    PyErr_Format(PyExc_AttributeError,
#if PY_MAJOR_VERSION >= 3
                 "'%.50s' object has no attribute '%U'",
                 tp->tp_name, attr_name);
#else
                 "'%.50s' object has no attribute '%.400s'",
                 tp->tp_name, PyString_AS_STRING(attr_name));
#endif
    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

/* TypeImport */
    #ifndef __PYX_HAVE_RT_ImportType
#define __PYX_HAVE_RT_ImportType
static PyTypeObject *__Pyx_ImportType(PyObject *module, const char *module_name, const char *class_name,
    size_t size, enum __Pyx_ImportType_CheckSize check_size)
{
    PyObject *result = 0;
    char warning[200];
    Py_ssize_t basicsize;
#ifdef Py_LIMITED_API
    PyObject *py_basicsize;
#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;
    }
#ifndef Py_LIMITED_API
    basicsize = ((PyTypeObject *)result)->tp_basicsize;
#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;
#endif
    if ((size_t)basicsize < 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);
        goto bad;
    }
    if (check_size == __Pyx_ImportType_CheckSize_Error && (size_t)basicsize != 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);
        goto bad;
    }
    else if (check_size == __Pyx_ImportType_CheckSize_Warn && (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

/* GetVTable */
    static void* __Pyx_GetVtable(PyObject *dict) {
    void* ptr;
    PyObject *ob = PyObject_GetItem(dict, __pyx_n_s_pyx_vtable);
    if (!ob)
        goto bad;
#if PY_VERSION_HEX >= 0x02070000
    ptr = PyCapsule_GetPointer(ob, 0);
#else
    ptr = PyCObject_AsVoidPtr(ob);
#endif
    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;
}

/* SetVTable */
    static int __Pyx_SetVtable(PyObject *dict, void *vtable) {
#if PY_VERSION_HEX >= 0x02070000
    PyObject *ob = PyCapsule_New(vtable, 0, 0);
#else
    PyObject *ob = PyCObject_FromVoidPtr(vtable, 0);
#endif
    if (!ob)
        goto bad;
    if (PyDict_SetItem(dict, __pyx_n_s_pyx_vtable, ob) < 0)
        goto bad;
    Py_DECREF(ob);
    return 0;
bad:
    Py_XDECREF(ob);
    return -1;
}

/* SetupReduce */
    static int __Pyx_setup_reduce_is_named(PyObject* meth, PyObject* name) {
  int ret;
  PyObject *name_attr;
  name_attr = __Pyx_PyObject_GetAttrStr(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_reduce_ex = NULL;
    PyObject *reduce = NULL;
    PyObject *reduce_ex = NULL;
    PyObject *reduce_cython = NULL;
    PyObject *setstate = NULL;
    PyObject *setstate_cython = NULL;
#if CYTHON_USE_PYTYPE_LOOKUP
    if (_PyType_Lookup((PyTypeObject*)type_obj, __pyx_n_s_getstate)) goto GOOD;
#else
    if (PyObject_HasAttr(type_obj, __pyx_n_s_getstate)) goto GOOD;
#endif
#if CYTHON_USE_PYTYPE_LOOKUP
    object_reduce_ex = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_reduce_ex); if (!object_reduce_ex) goto BAD;
#else
    object_reduce_ex = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce_ex); if (!object_reduce_ex) goto BAD;
#endif
    reduce_ex = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce_ex); if (unlikely(!reduce_ex)) goto 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 BAD;
#else
        object_reduce = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce); if (!object_reduce) goto BAD;
#endif
        reduce = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce); if (unlikely(!reduce)) goto BAD;
        if (reduce == object_reduce || __Pyx_setup_reduce_is_named(reduce, __pyx_n_s_reduce_cython)) {
            reduce_cython = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce_cython); if (unlikely(!reduce_cython)) goto BAD;
            ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce, reduce_cython); if (unlikely(ret < 0)) goto BAD;
            ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce_cython); if (unlikely(ret < 0)) goto BAD;
            setstate = __Pyx_PyObject_GetAttrStr(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_GetAttrStr(type_obj, __pyx_n_s_setstate_cython); if (unlikely(!setstate_cython)) goto BAD;
                ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate, setstate_cython); if (unlikely(ret < 0)) goto BAD;
                ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate_cython); if (unlikely(ret < 0)) goto BAD;
            }
            PyType_Modified((PyTypeObject*)type_obj);
        }
    }
    goto GOOD;
BAD:
    if (!PyErr_Occurred())
        PyErr_Format(PyExc_RuntimeError, "Unable to initialize pickling for %s", ((PyTypeObject*)type_obj)->tp_name);
    ret = -1;
GOOD:
#if !CYTHON_USE_PYTYPE_LOOKUP
    Py_XDECREF(object_reduce);
    Py_XDECREF(object_reduce_ex);
#endif
    Py_XDECREF(reduce);
    Py_XDECREF(reduce_ex);
    Py_XDECREF(reduce_cython);
    Py_XDECREF(setstate);
    Py_XDECREF(setstate_cython);
    return ret;
}

/* ClassMethod */
    static PyObject* __Pyx_Method_ClassMethod(PyObject *method) {
#if CYTHON_COMPILING_IN_PYPY && PYPY_VERSION_NUM <= 0x05080000
    if (PyObject_TypeCheck(method, &PyWrapperDescr_Type)) {
        return PyClassMethod_New(method);
    }
#else
#if CYTHON_COMPILING_IN_PYSTON || CYTHON_COMPILING_IN_PYPY
    if (PyMethodDescr_Check(method))
#else
    static PyTypeObject *methoddescr_type = NULL;
    if (methoddescr_type == NULL) {
       PyObject *meth = PyObject_GetAttrString((PyObject*)&PyList_Type, "append");
       if (!meth) return NULL;
       methoddescr_type = Py_TYPE(meth);
       Py_DECREF(meth);
    }
    if (__Pyx_TypeCheck(method, methoddescr_type))
#endif
    {
        PyMethodDescrObject *descr = (PyMethodDescrObject *)method;
        #if PY_VERSION_HEX < 0x03020000
        PyTypeObject *d_type = descr->d_type;
        #else
        PyTypeObject *d_type = descr->d_common.d_type;
        #endif
        return PyDescr_NewClassMethod(d_type, descr->d_method);
    }
#endif
    else if (PyMethod_Check(method)) {
        return PyClassMethod_New(PyMethod_GET_FUNCTION(method));
    }
    else if (PyCFunction_Check(method)) {
        return PyClassMethod_New(method);
    }
#ifdef __Pyx_CyFunction_USED
    else if (__Pyx_CyFunction_Check(method)) {
        return PyClassMethod_New(method);
    }
#endif
    PyErr_SetString(PyExc_TypeError,
                   "Class-level classmethod() can only be called on "
                   "a method_descriptor or instance method.");
    return NULL;
}

/* GetNameInClass */
    static PyObject *__Pyx_GetGlobalNameAfterAttributeLookup(PyObject *name) {
    PyObject *result;
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    if (unlikely(!__Pyx_PyErr_ExceptionMatches(PyExc_AttributeError)))
        return NULL;
    __Pyx_PyErr_Clear();
    __Pyx_GetModuleGlobalNameUncached(result, name);
    return result;
}
static PyObject *__Pyx__GetNameInClass(PyObject *nmspace, PyObject *name) {
    PyObject *result;
    result = __Pyx_PyObject_GetAttrStr(nmspace, name);
    if (!result) {
        result = __Pyx_GetGlobalNameAfterAttributeLookup(name);
    }
    return result;
}

/* 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
    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_GetAttrStr(__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;
        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 */
    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);
}

/* AddTraceback */
    #include "compile.h"
#include "frameobject.h"
#include "traceback.h"
static PyCodeObject* __Pyx_CreateCodeObjectForTraceback(
            const char *funcname, int c_line,
            int py_line, const char *filename) {
    PyCodeObject *py_code = 0;
    PyObject *py_srcfile = 0;
    PyObject *py_funcname = 0;
    #if PY_MAJOR_VERSION < 3
    py_srcfile = PyString_FromString(filename);
    #else
    py_srcfile = PyUnicode_FromString(filename);
    #endif
    if (!py_srcfile) goto bad;
    if (c_line) {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        #else
        py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        #endif
    }
    else {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromString(funcname);
        #else
        py_funcname = PyUnicode_FromString(funcname);
        #endif
    }
    if (!py_funcname) goto bad;
    py_code = __Pyx_PyCode_New(
        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);
    Py_DECREF(py_funcname);
    return py_code;
bad:
    Py_XDECREF(py_srcfile);
    Py_XDECREF(py_funcname);
    return NULL;
}
static void __Pyx_AddTraceback(const char *funcname, int c_line,
                               int py_line, const char *filename) {
    PyCodeObject *py_code = 0;
    PyFrameObject *py_frame = 0;
    PyThreadState *tstate = __Pyx_PyThreadState_Current;
    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) {
        py_code = __Pyx_CreateCodeObjectForTraceback(
            funcname, c_line, py_line, filename);
        if (!py_code) goto bad;
        __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);
}

#if PY_MAJOR_VERSION < 3
static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags) {
    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);
    PyErr_Format(PyExc_TypeError, "'%.200s' does not have the buffer interface", Py_TYPE(obj)->tp_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);
}

/* Capsule */
    static CYTHON_INLINE PyObject *
__pyx_capsule_create(void *p, CYTHON_UNUSED const char *sig)
{
    PyObject *cobj;
#if PY_VERSION_HEX >= 0x02070000
    cobj = PyCapsule_New(p, sig, NULL);
#else
    cobj = PyCObject_FromVoidPtr(p, NULL);
#endif
    return cobj;
}

/* CIntToPy */
    static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) {
    const long neg_one = (long) ((long) 0 - (long) 1), const_zero = (long) 0;
    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
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(long),
                                     little, !is_unsigned);
    }
}

/* CIntToPy */
    static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value) {
    const int neg_one = (int) ((int) 0 - (int) 1), const_zero = (int) 0;
    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
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(int),
                                     little, !is_unsigned);
    }
}

/* 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;\
    }

/* CIntToPy */
    static CYTHON_INLINE PyObject* __Pyx_PyInt_From_Py_intptr_t(Py_intptr_t value) {
    const Py_intptr_t neg_one = (Py_intptr_t) ((Py_intptr_t) 0 - (Py_intptr_t) 1), const_zero = (Py_intptr_t) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(Py_intptr_t) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(Py_intptr_t) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(Py_intptr_t) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(Py_intptr_t) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(Py_intptr_t) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(Py_intptr_t),
                                     little, !is_unsigned);
    }
}

/* Declarations */
    #if CYTHON_CCOMPLEX
  #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
#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) {
                    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
  #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
#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) {
                    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

/* 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 (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;
}

/* CIntFromPy */
    static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *x) {
    const long neg_one = (long) ((long) 0 - (long) 1), const_zero = (long) 0;
    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;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (long) 0;
                case  1: __PYX_VERIFY_RETURN_INT(long, digit, digits[0])
                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
            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
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (long) 0;
                case -1: __PYX_VERIFY_RETURN_INT(long, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(long,  digit, +digits[0])
                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
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            long val;
            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (long) -1;
        }
    } else {
        long val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (long) -1;
        val = __Pyx_PyInt_As_long(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to long");
    return (long) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to long");
    return (long) -1;
}

/* CIntFromPy */
    static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *x) {
    const int neg_one = (int) ((int) 0 - (int) 1), const_zero = (int) 0;
    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;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (int) 0;
                case  1: __PYX_VERIFY_RETURN_INT(int, digit, digits[0])
                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
            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
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (int) 0;
                case -1: __PYX_VERIFY_RETURN_INT(int, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(int,  digit, +digits[0])
                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
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            int val;
            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (int) -1;
        }
    } else {
        int val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (int) -1;
        val = __Pyx_PyInt_As_int(tmp);
        Py_DECREF(tmp);
        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;
}

/* CIntFromPy */
    static CYTHON_INLINE size_t __Pyx_PyInt_As_size_t(PyObject *x) {
    const size_t neg_one = (size_t) ((size_t) 0 - (size_t) 1), const_zero = (size_t) 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(size_t) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(size_t, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (size_t) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (size_t) 0;
                case  1: __PYX_VERIFY_RETURN_INT(size_t, digit, digits[0])
                case 2:
                    if (8 * sizeof(size_t) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) >= 2 * PyLong_SHIFT) {
                            return (size_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(size_t) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) >= 3 * PyLong_SHIFT) {
                            return (size_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(size_t) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, 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(size_t) >= 4 * PyLong_SHIFT) {
                            return (size_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
#if CYTHON_COMPILING_IN_CPYTHON
            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 (size_t) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(size_t) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(size_t, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(size_t) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(size_t, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (size_t) 0;
                case -1: __PYX_VERIFY_RETURN_INT(size_t, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(size_t,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(size_t) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) - 1 > 2 * PyLong_SHIFT) {
                            return (size_t) (((size_t)-1)*(((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(size_t) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) - 1 > 2 * PyLong_SHIFT) {
                            return (size_t) ((((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(size_t) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) - 1 > 3 * PyLong_SHIFT) {
                            return (size_t) (((size_t)-1)*(((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(size_t) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) - 1 > 3 * PyLong_SHIFT) {
                            return (size_t) ((((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(size_t) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, 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(size_t) - 1 > 4 * PyLong_SHIFT) {
                            return (size_t) (((size_t)-1)*(((((((((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(size_t) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, 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(size_t) - 1 > 4 * PyLong_SHIFT) {
                            return (size_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
            if (sizeof(size_t) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(size_t, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(size_t) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(size_t, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            size_t val;
            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (size_t) -1;
        }
    } else {
        size_t val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (size_t) -1;
        val = __Pyx_PyInt_As_size_t(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to size_t");
    return (size_t) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to size_t");
    return (size_t) -1;
}

/* CIntFromPy */
    static CYTHON_INLINE char __Pyx_PyInt_As_char(PyObject *x) {
    const char neg_one = (char) ((char) 0 - (char) 1), const_zero = (char) 0;
    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;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (char) 0;
                case  1: __PYX_VERIFY_RETURN_INT(char, digit, digits[0])
                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
            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
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (char) 0;
                case -1: __PYX_VERIFY_RETURN_INT(char, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(char,  digit, +digits[0])
                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
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            char val;
            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (char) -1;
        }
    } else {
        char val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (char) -1;
        val = __Pyx_PyInt_As_char(tmp);
        Py_DECREF(tmp);
        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;
}

/* FetchCommonType */
    static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type) {
    PyObject* fake_module;
    PyTypeObject* cached_type = NULL;
    fake_module = PyImport_AddModule((char*) "_cython_" CYTHON_ABI);
    if (!fake_module) return NULL;
    Py_INCREF(fake_module);
    cached_type = (PyTypeObject*) PyObject_GetAttrString(fake_module, type->tp_name);
    if (cached_type) {
        if (!PyType_Check((PyObject*)cached_type)) {
            PyErr_Format(PyExc_TypeError,
                "Shared Cython type %.200s is not a type object",
                type->tp_name);
            goto bad;
        }
        if (cached_type->tp_basicsize != type->tp_basicsize) {
            PyErr_Format(PyExc_TypeError,
                "Shared Cython type %.200s has the wrong size, try recompiling",
                type->tp_name);
            goto bad;
        }
    } else {
        if (!PyErr_ExceptionMatches(PyExc_AttributeError)) goto bad;
        PyErr_Clear();
        if (PyType_Ready(type) < 0) goto bad;
        if (PyObject_SetAttrString(fake_module, type->tp_name, (PyObject*) type) < 0)
            goto bad;
        Py_INCREF(type);
        cached_type = type;
    }
done:
    Py_DECREF(fake_module);
    return cached_type;
bad:
    Py_XDECREF(cached_type);
    cached_type = NULL;
    goto done;
}

/* CoroutineBase */
    #include <structmember.h>
#include <frameobject.h>
#define __Pyx_Coroutine_Undelegate(gen) Py_CLEAR((gen)->yieldfrom)
static int __Pyx_PyGen__FetchStopIterationValue(CYTHON_UNUSED PyThreadState *__pyx_tstate, PyObject **pvalue) {
    PyObject *et, *ev, *tb;
    PyObject *value = NULL;
    __Pyx_ErrFetch(&et, &ev, &tb);
    if (!et) {
        Py_XDECREF(tb);
        Py_XDECREF(ev);
        Py_INCREF(Py_None);
        *pvalue = Py_None;
        return 0;
    }
    if (likely(et == PyExc_StopIteration)) {
        if (!ev) {
            Py_INCREF(Py_None);
            value = Py_None;
        }
#if PY_VERSION_HEX >= 0x030300A0
        else if (Py_TYPE(ev) == (PyTypeObject*)PyExc_StopIteration) {
            value = ((PyStopIterationObject *)ev)->value;
            Py_INCREF(value);
            Py_DECREF(ev);
        }
#endif
        else if (unlikely(PyTuple_Check(ev))) {
            if (PyTuple_GET_SIZE(ev) >= 1) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
                value = PyTuple_GET_ITEM(ev, 0);
                Py_INCREF(value);
#else
                value = PySequence_ITEM(ev, 0);
#endif
            } else {
                Py_INCREF(Py_None);
                value = Py_None;
            }
            Py_DECREF(ev);
        }
        else if (!__Pyx_TypeCheck(ev, (PyTypeObject*)PyExc_StopIteration)) {
            value = ev;
        }
        if (likely(value)) {
            Py_XDECREF(tb);
            Py_DECREF(et);
            *pvalue = value;
            return 0;
        }
    } else if (!__Pyx_PyErr_GivenExceptionMatches(et, PyExc_StopIteration)) {
        __Pyx_ErrRestore(et, ev, tb);
        return -1;
    }
    PyErr_NormalizeException(&et, &ev, &tb);
    if (unlikely(!PyObject_TypeCheck(ev, (PyTypeObject*)PyExc_StopIteration))) {
        __Pyx_ErrRestore(et, ev, tb);
        return -1;
    }
    Py_XDECREF(tb);
    Py_DECREF(et);
#if PY_VERSION_HEX >= 0x030300A0
    value = ((PyStopIterationObject *)ev)->value;
    Py_INCREF(value);
    Py_DECREF(ev);
#else
    {
        PyObject* args = __Pyx_PyObject_GetAttrStr(ev, __pyx_n_s_args);
        Py_DECREF(ev);
        if (likely(args)) {
            value = PySequence_GetItem(args, 0);
            Py_DECREF(args);
        }
        if (unlikely(!value)) {
            __Pyx_ErrRestore(NULL, NULL, NULL);
            Py_INCREF(Py_None);
            value = Py_None;
        }
    }
#endif
    *pvalue = value;
    return 0;
}
static CYTHON_INLINE
void __Pyx_Coroutine_ExceptionClear(__Pyx_ExcInfoStruct *exc_state) {
    PyObject *t, *v, *tb;
    t = exc_state->exc_type;
    v = exc_state->exc_value;
    tb = exc_state->exc_traceback;
    exc_state->exc_type = NULL;
    exc_state->exc_value = NULL;
    exc_state->exc_traceback = NULL;
    Py_XDECREF(t);
    Py_XDECREF(v);
    Py_XDECREF(tb);
}
#define __Pyx_Coroutine_AlreadyRunningError(gen)  (__Pyx__Coroutine_AlreadyRunningError(gen), (PyObject*)NULL)
static void __Pyx__Coroutine_AlreadyRunningError(CYTHON_UNUSED __pyx_CoroutineObject *gen) {
    const char *msg;
    if ((0)) {
    #ifdef __Pyx_Coroutine_USED
    } else if (__Pyx_Coroutine_Check((PyObject*)gen)) {
        msg = "coroutine already executing";
    #endif
    #ifdef __Pyx_AsyncGen_USED
    } else if (__Pyx_AsyncGen_CheckExact((PyObject*)gen)) {
        msg = "async generator already executing";
    #endif
    } else {
        msg = "generator already executing";
    }
    PyErr_SetString(PyExc_ValueError, msg);
}
#define __Pyx_Coroutine_NotStartedError(gen)  (__Pyx__Coroutine_NotStartedError(gen), (PyObject*)NULL)
static void __Pyx__Coroutine_NotStartedError(CYTHON_UNUSED PyObject *gen) {
    const char *msg;
    if ((0)) {
    #ifdef __Pyx_Coroutine_USED
    } else if (__Pyx_Coroutine_Check(gen)) {
        msg = "can't send non-None value to a just-started coroutine";
    #endif
    #ifdef __Pyx_AsyncGen_USED
    } else if (__Pyx_AsyncGen_CheckExact(gen)) {
        msg = "can't send non-None value to a just-started async generator";
    #endif
    } else {
        msg = "can't send non-None value to a just-started generator";
    }
    PyErr_SetString(PyExc_TypeError, msg);
}
#define __Pyx_Coroutine_AlreadyTerminatedError(gen, value, closing)  (__Pyx__Coroutine_AlreadyTerminatedError(gen, value, closing), (PyObject*)NULL)
static void __Pyx__Coroutine_AlreadyTerminatedError(CYTHON_UNUSED PyObject *gen, PyObject *value, CYTHON_UNUSED int closing) {
    #ifdef __Pyx_Coroutine_USED
    if (!closing && __Pyx_Coroutine_Check(gen)) {
        PyErr_SetString(PyExc_RuntimeError, "cannot reuse already awaited coroutine");
    } else
    #endif
    if (value) {
        #ifdef __Pyx_AsyncGen_USED
        if (__Pyx_AsyncGen_CheckExact(gen))
            PyErr_SetNone(__Pyx_PyExc_StopAsyncIteration);
        else
        #endif
        PyErr_SetNone(PyExc_StopIteration);
    }
}
static
PyObject *__Pyx_Coroutine_SendEx(__pyx_CoroutineObject *self, PyObject *value, int closing) {
    __Pyx_PyThreadState_declare
    PyThreadState *tstate;
    __Pyx_ExcInfoStruct *exc_state;
    PyObject *retval;
    assert(!self->is_running);
    if (unlikely(self->resume_label == 0)) {
        if (unlikely(value && value != Py_None)) {
            return __Pyx_Coroutine_NotStartedError((PyObject*)self);
        }
    }
    if (unlikely(self->resume_label == -1)) {
        return __Pyx_Coroutine_AlreadyTerminatedError((PyObject*)self, value, closing);
    }
#if CYTHON_FAST_THREAD_STATE
    __Pyx_PyThreadState_assign
    tstate = __pyx_tstate;
#else
    tstate = __Pyx_PyThreadState_Current;
#endif
    exc_state = &self->gi_exc_state;
    if (exc_state->exc_type) {
        #if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_PYSTON
        #else
        if (exc_state->exc_traceback) {
            PyTracebackObject *tb = (PyTracebackObject *) exc_state->exc_traceback;
            PyFrameObject *f = tb->tb_frame;
            Py_XINCREF(tstate->frame);
            assert(f->f_back == NULL);
            f->f_back = tstate->frame;
        }
        #endif
    }
#if CYTHON_USE_EXC_INFO_STACK
    exc_state->previous_item = tstate->exc_info;
    tstate->exc_info = exc_state;
#else
    if (exc_state->exc_type) {
        __Pyx_ExceptionSwap(&exc_state->exc_type, &exc_state->exc_value, &exc_state->exc_traceback);
    } else {
        __Pyx_Coroutine_ExceptionClear(exc_state);
        __Pyx_ExceptionSave(&exc_state->exc_type, &exc_state->exc_value, &exc_state->exc_traceback);
    }
#endif
    self->is_running = 1;
    retval = self->body((PyObject *) self, tstate, value);
    self->is_running = 0;
#if CYTHON_USE_EXC_INFO_STACK
    exc_state = &self->gi_exc_state;
    tstate->exc_info = exc_state->previous_item;
    exc_state->previous_item = NULL;
    __Pyx_Coroutine_ResetFrameBackpointer(exc_state);
#endif
    return retval;
}
static CYTHON_INLINE void __Pyx_Coroutine_ResetFrameBackpointer(__Pyx_ExcInfoStruct *exc_state) {
    PyObject *exc_tb = exc_state->exc_traceback;
    if (likely(exc_tb)) {
#if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_PYSTON
#else
        PyTracebackObject *tb = (PyTracebackObject *) exc_tb;
        PyFrameObject *f = tb->tb_frame;
        Py_CLEAR(f->f_back);
#endif
    }
}
static CYTHON_INLINE
PyObject *__Pyx_Coroutine_MethodReturn(CYTHON_UNUSED PyObject* gen, PyObject *retval) {
    if (unlikely(!retval)) {
        __Pyx_PyThreadState_declare
        __Pyx_PyThreadState_assign
        if (!__Pyx_PyErr_Occurred()) {
            PyObject *exc = PyExc_StopIteration;
            #ifdef __Pyx_AsyncGen_USED
            if (__Pyx_AsyncGen_CheckExact(gen))
                exc = __Pyx_PyExc_StopAsyncIteration;
            #endif
            __Pyx_PyErr_SetNone(exc);
        }
    }
    return retval;
}
static CYTHON_INLINE
PyObject *__Pyx_Coroutine_FinishDelegation(__pyx_CoroutineObject *gen) {
    PyObject *ret;
    PyObject *val = NULL;
    __Pyx_Coroutine_Undelegate(gen);
    __Pyx_PyGen__FetchStopIterationValue(__Pyx_PyThreadState_Current, &val);
    ret = __Pyx_Coroutine_SendEx(gen, val, 0);
    Py_XDECREF(val);
    return ret;
}
static PyObject *__Pyx_Coroutine_Send(PyObject *self, PyObject *value) {
    PyObject *retval;
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject*) self;
    PyObject *yf = gen->yieldfrom;
    if (unlikely(gen->is_running))
        return __Pyx_Coroutine_AlreadyRunningError(gen);
    if (yf) {
        PyObject *ret;
        gen->is_running = 1;
        #ifdef __Pyx_Generator_USED
        if (__Pyx_Generator_CheckExact(yf)) {
            ret = __Pyx_Coroutine_Send(yf, value);
        } else
        #endif
        #ifdef __Pyx_Coroutine_USED
        if (__Pyx_Coroutine_Check(yf)) {
            ret = __Pyx_Coroutine_Send(yf, value);
        } else
        #endif
        #ifdef __Pyx_AsyncGen_USED
        if (__pyx_PyAsyncGenASend_CheckExact(yf)) {
            ret = __Pyx_async_gen_asend_send(yf, value);
        } else
        #endif
        #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03030000 && (defined(__linux__) || PY_VERSION_HEX >= 0x030600B3)
        if (PyGen_CheckExact(yf)) {
            ret = _PyGen_Send((PyGenObject*)yf, value == Py_None ? NULL : value);
        } else
        #endif
        #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03050000 && defined(PyCoro_CheckExact) && (defined(__linux__) || PY_VERSION_HEX >= 0x030600B3)
        if (PyCoro_CheckExact(yf)) {
            ret = _PyGen_Send((PyGenObject*)yf, value == Py_None ? NULL : value);
        } else
        #endif
        {
            if (value == Py_None)
                ret = Py_TYPE(yf)->tp_iternext(yf);
            else
                ret = __Pyx_PyObject_CallMethod1(yf, __pyx_n_s_send, value);
        }
        gen->is_running = 0;
        if (likely(ret)) {
            return ret;
        }
        retval = __Pyx_Coroutine_FinishDelegation(gen);
    } else {
        retval = __Pyx_Coroutine_SendEx(gen, value, 0);
    }
    return __Pyx_Coroutine_MethodReturn(self, retval);
}
static int __Pyx_Coroutine_CloseIter(__pyx_CoroutineObject *gen, PyObject *yf) {
    PyObject *retval = NULL;
    int err = 0;
    #ifdef __Pyx_Generator_USED
    if (__Pyx_Generator_CheckExact(yf)) {
        retval = __Pyx_Coroutine_Close(yf);
        if (!retval)
            return -1;
    } else
    #endif
    #ifdef __Pyx_Coroutine_USED
    if (__Pyx_Coroutine_Check(yf)) {
        retval = __Pyx_Coroutine_Close(yf);
        if (!retval)
            return -1;
    } else
    if (__Pyx_CoroutineAwait_CheckExact(yf)) {
        retval = __Pyx_CoroutineAwait_Close((__pyx_CoroutineAwaitObject*)yf, NULL);
        if (!retval)
            return -1;
    } else
    #endif
    #ifdef __Pyx_AsyncGen_USED
    if (__pyx_PyAsyncGenASend_CheckExact(yf)) {
        retval = __Pyx_async_gen_asend_close(yf, NULL);
    } else
    if (__pyx_PyAsyncGenAThrow_CheckExact(yf)) {
        retval = __Pyx_async_gen_athrow_close(yf, NULL);
    } else
    #endif
    {
        PyObject *meth;
        gen->is_running = 1;
        meth = __Pyx_PyObject_GetAttrStr(yf, __pyx_n_s_close);
        if (unlikely(!meth)) {
            if (!PyErr_ExceptionMatches(PyExc_AttributeError)) {
                PyErr_WriteUnraisable(yf);
            }
            PyErr_Clear();
        } else {
            retval = PyObject_CallFunction(meth, NULL);
            Py_DECREF(meth);
            if (!retval)
                err = -1;
        }
        gen->is_running = 0;
    }
    Py_XDECREF(retval);
    return err;
}
static PyObject *__Pyx_Generator_Next(PyObject *self) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject*) self;
    PyObject *yf = gen->yieldfrom;
    if (unlikely(gen->is_running))
        return __Pyx_Coroutine_AlreadyRunningError(gen);
    if (yf) {
        PyObject *ret;
        gen->is_running = 1;
        #ifdef __Pyx_Generator_USED
        if (__Pyx_Generator_CheckExact(yf)) {
            ret = __Pyx_Generator_Next(yf);
        } else
        #endif
        #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03030000 && (defined(__linux__) || PY_VERSION_HEX >= 0x030600B3)
        if (PyGen_CheckExact(yf)) {
            ret = _PyGen_Send((PyGenObject*)yf, NULL);
        } else
        #endif
        #ifdef __Pyx_Coroutine_USED
        if (__Pyx_Coroutine_Check(yf)) {
            ret = __Pyx_Coroutine_Send(yf, Py_None);
        } else
        #endif
            ret = Py_TYPE(yf)->tp_iternext(yf);
        gen->is_running = 0;
        if (likely(ret)) {
            return ret;
        }
        return __Pyx_Coroutine_FinishDelegation(gen);
    }
    return __Pyx_Coroutine_SendEx(gen, Py_None, 0);
}
static PyObject *__Pyx_Coroutine_Close_Method(PyObject *self, CYTHON_UNUSED PyObject *arg) {
    return __Pyx_Coroutine_Close(self);
}
static PyObject *__Pyx_Coroutine_Close(PyObject *self) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    PyObject *retval, *raised_exception;
    PyObject *yf = gen->yieldfrom;
    int err = 0;
    if (unlikely(gen->is_running))
        return __Pyx_Coroutine_AlreadyRunningError(gen);
    if (yf) {
        Py_INCREF(yf);
        err = __Pyx_Coroutine_CloseIter(gen, yf);
        __Pyx_Coroutine_Undelegate(gen);
        Py_DECREF(yf);
    }
    if (err == 0)
        PyErr_SetNone(PyExc_GeneratorExit);
    retval = __Pyx_Coroutine_SendEx(gen, NULL, 1);
    if (unlikely(retval)) {
        const char *msg;
        Py_DECREF(retval);
        if ((0)) {
        #ifdef __Pyx_Coroutine_USED
        } else if (__Pyx_Coroutine_Check(self)) {
            msg = "coroutine ignored GeneratorExit";
        #endif
        #ifdef __Pyx_AsyncGen_USED
        } else if (__Pyx_AsyncGen_CheckExact(self)) {
#if PY_VERSION_HEX < 0x03060000
            msg = "async generator ignored GeneratorExit - might require Python 3.6+ finalisation (PEP 525)";
#else
            msg = "async generator ignored GeneratorExit";
#endif
        #endif
        } else {
            msg = "generator ignored GeneratorExit";
        }
        PyErr_SetString(PyExc_RuntimeError, msg);
        return NULL;
    }
    raised_exception = PyErr_Occurred();
    if (likely(!raised_exception || __Pyx_PyErr_GivenExceptionMatches2(raised_exception, PyExc_GeneratorExit, PyExc_StopIteration))) {
        if (raised_exception) PyErr_Clear();
        Py_INCREF(Py_None);
        return Py_None;
    }
    return NULL;
}
static PyObject *__Pyx__Coroutine_Throw(PyObject *self, PyObject *typ, PyObject *val, PyObject *tb,
                                        PyObject *args, int close_on_genexit) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    PyObject *yf = gen->yieldfrom;
    if (unlikely(gen->is_running))
        return __Pyx_Coroutine_AlreadyRunningError(gen);
    if (yf) {
        PyObject *ret;
        Py_INCREF(yf);
        if (__Pyx_PyErr_GivenExceptionMatches(typ, PyExc_GeneratorExit) && close_on_genexit) {
            int err = __Pyx_Coroutine_CloseIter(gen, yf);
            Py_DECREF(yf);
            __Pyx_Coroutine_Undelegate(gen);
            if (err < 0)
                return __Pyx_Coroutine_MethodReturn(self, __Pyx_Coroutine_SendEx(gen, NULL, 0));
            goto throw_here;
        }
        gen->is_running = 1;
        if (0
        #ifdef __Pyx_Generator_USED
            || __Pyx_Generator_CheckExact(yf)
        #endif
        #ifdef __Pyx_Coroutine_USED
            || __Pyx_Coroutine_Check(yf)
        #endif
            ) {
            ret = __Pyx__Coroutine_Throw(yf, typ, val, tb, args, close_on_genexit);
        #ifdef __Pyx_Coroutine_USED
        } else if (__Pyx_CoroutineAwait_CheckExact(yf)) {
            ret = __Pyx__Coroutine_Throw(((__pyx_CoroutineAwaitObject*)yf)->coroutine, typ, val, tb, args, close_on_genexit);
        #endif
        } else {
            PyObject *meth = __Pyx_PyObject_GetAttrStr(yf, __pyx_n_s_throw);
            if (unlikely(!meth)) {
                Py_DECREF(yf);
                if (!PyErr_ExceptionMatches(PyExc_AttributeError)) {
                    gen->is_running = 0;
                    return NULL;
                }
                PyErr_Clear();
                __Pyx_Coroutine_Undelegate(gen);
                gen->is_running = 0;
                goto throw_here;
            }
            if (likely(args)) {
                ret = PyObject_CallObject(meth, args);
            } else {
                ret = PyObject_CallFunctionObjArgs(meth, typ, val, tb, NULL);
            }
            Py_DECREF(meth);
        }
        gen->is_running = 0;
        Py_DECREF(yf);
        if (!ret) {
            ret = __Pyx_Coroutine_FinishDelegation(gen);
        }
        return __Pyx_Coroutine_MethodReturn(self, ret);
    }
throw_here:
    __Pyx_Raise(typ, val, tb, NULL);
    return __Pyx_Coroutine_MethodReturn(self, __Pyx_Coroutine_SendEx(gen, NULL, 0));
}
static PyObject *__Pyx_Coroutine_Throw(PyObject *self, PyObject *args) {
    PyObject *typ;
    PyObject *val = NULL;
    PyObject *tb = NULL;
    if (!PyArg_UnpackTuple(args, (char *)"throw", 1, 3, &typ, &val, &tb))
        return NULL;
    return __Pyx__Coroutine_Throw(self, typ, val, tb, args, 1);
}
static CYTHON_INLINE int __Pyx_Coroutine_traverse_excstate(__Pyx_ExcInfoStruct *exc_state, visitproc visit, void *arg) {
    Py_VISIT(exc_state->exc_type);
    Py_VISIT(exc_state->exc_value);
    Py_VISIT(exc_state->exc_traceback);
    return 0;
}
static int __Pyx_Coroutine_traverse(__pyx_CoroutineObject *gen, visitproc visit, void *arg) {
    Py_VISIT(gen->closure);
    Py_VISIT(gen->classobj);
    Py_VISIT(gen->yieldfrom);
    return __Pyx_Coroutine_traverse_excstate(&gen->gi_exc_state, visit, arg);
}
static int __Pyx_Coroutine_clear(PyObject *self) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    Py_CLEAR(gen->closure);
    Py_CLEAR(gen->classobj);
    Py_CLEAR(gen->yieldfrom);
    __Pyx_Coroutine_ExceptionClear(&gen->gi_exc_state);
#ifdef __Pyx_AsyncGen_USED
    if (__Pyx_AsyncGen_CheckExact(self)) {
        Py_CLEAR(((__pyx_PyAsyncGenObject*)gen)->ag_finalizer);
    }
#endif
    Py_CLEAR(gen->gi_code);
    Py_CLEAR(gen->gi_name);
    Py_CLEAR(gen->gi_qualname);
    Py_CLEAR(gen->gi_modulename);
    return 0;
}
static void __Pyx_Coroutine_dealloc(PyObject *self) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    PyObject_GC_UnTrack(gen);
    if (gen->gi_weakreflist != NULL)
        PyObject_ClearWeakRefs(self);
    if (gen->resume_label >= 0) {
        PyObject_GC_Track(self);
#if PY_VERSION_HEX >= 0x030400a1 && CYTHON_USE_TP_FINALIZE
        if (PyObject_CallFinalizerFromDealloc(self))
#else
        Py_TYPE(gen)->tp_del(self);
        if (self->ob_refcnt > 0)
#endif
        {
            return;
        }
        PyObject_GC_UnTrack(self);
    }
#ifdef __Pyx_AsyncGen_USED
    if (__Pyx_AsyncGen_CheckExact(self)) {
        /* We have to handle this case for asynchronous generators
           right here, because this code has to be between UNTRACK
           and GC_Del. */
        Py_CLEAR(((__pyx_PyAsyncGenObject*)self)->ag_finalizer);
    }
#endif
    __Pyx_Coroutine_clear(self);
    PyObject_GC_Del(gen);
}
static void __Pyx_Coroutine_del(PyObject *self) {
    PyObject *error_type, *error_value, *error_traceback;
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    __Pyx_PyThreadState_declare
    if (gen->resume_label < 0) {
        return;
    }
#if !CYTHON_USE_TP_FINALIZE
    assert(self->ob_refcnt == 0);
    self->ob_refcnt = 1;
#endif
    __Pyx_PyThreadState_assign
    __Pyx_ErrFetch(&error_type, &error_value, &error_traceback);
#ifdef __Pyx_AsyncGen_USED
    if (__Pyx_AsyncGen_CheckExact(self)) {
        __pyx_PyAsyncGenObject *agen = (__pyx_PyAsyncGenObject*)self;
        PyObject *finalizer = agen->ag_finalizer;
        if (finalizer && !agen->ag_closed) {
            PyObject *res = __Pyx_PyObject_CallOneArg(finalizer, self);
            if (unlikely(!res)) {
                PyErr_WriteUnraisable(self);
            } else {
                Py_DECREF(res);
            }
            __Pyx_ErrRestore(error_type, error_value, error_traceback);
            return;
        }
    }
#endif
    if (unlikely(gen->resume_label == 0 && !error_value)) {
#ifdef __Pyx_Coroutine_USED
#ifdef __Pyx_Generator_USED
    if (!__Pyx_Generator_CheckExact(self))
#endif
        {
        PyObject_GC_UnTrack(self);
#if PY_MAJOR_VERSION >= 3  || defined(PyErr_WarnFormat)
        if (unlikely(PyErr_WarnFormat(PyExc_RuntimeWarning, 1, "coroutine '%.50S' was never awaited", gen->gi_qualname) < 0))
            PyErr_WriteUnraisable(self);
#else
        {PyObject *msg;
        char *cmsg;
        #if CYTHON_COMPILING_IN_PYPY
        msg = NULL;
        cmsg = (char*) "coroutine was never awaited";
        #else
        char *cname;
        PyObject *qualname;
        qualname = gen->gi_qualname;
        cname = PyString_AS_STRING(qualname);
        msg = PyString_FromFormat("coroutine '%.50s' was never awaited", cname);
        if (unlikely(!msg)) {
            PyErr_Clear();
            cmsg = (char*) "coroutine was never awaited";
        } else {
            cmsg = PyString_AS_STRING(msg);
        }
        #endif
        if (unlikely(PyErr_WarnEx(PyExc_RuntimeWarning, cmsg, 1) < 0))
            PyErr_WriteUnraisable(self);
        Py_XDECREF(msg);}
#endif
        PyObject_GC_Track(self);
        }
#endif
    } else {
        PyObject *res = __Pyx_Coroutine_Close(self);
        if (unlikely(!res)) {
            if (PyErr_Occurred())
                PyErr_WriteUnraisable(self);
        } else {
            Py_DECREF(res);
        }
    }
    __Pyx_ErrRestore(error_type, error_value, error_traceback);
#if !CYTHON_USE_TP_FINALIZE
    assert(self->ob_refcnt > 0);
    if (--self->ob_refcnt == 0) {
        return;
    }
    {
        Py_ssize_t refcnt = self->ob_refcnt;
        _Py_NewReference(self);
        self->ob_refcnt = refcnt;
    }
#if CYTHON_COMPILING_IN_CPYTHON
    assert(PyType_IS_GC(self->ob_type) &&
           _Py_AS_GC(self)->gc.gc_refs != _PyGC_REFS_UNTRACKED);
    _Py_DEC_REFTOTAL;
#endif
#ifdef COUNT_ALLOCS
    --Py_TYPE(self)->tp_frees;
    --Py_TYPE(self)->tp_allocs;
#endif
#endif
}
static PyObject *
__Pyx_Coroutine_get_name(__pyx_CoroutineObject *self, CYTHON_UNUSED void *context)
{
    PyObject *name = self->gi_name;
    if (unlikely(!name)) name = Py_None;
    Py_INCREF(name);
    return name;
}
static int
__Pyx_Coroutine_set_name(__pyx_CoroutineObject *self, PyObject *value, CYTHON_UNUSED void *context)
{
    PyObject *tmp;
#if PY_MAJOR_VERSION >= 3
    if (unlikely(value == NULL || !PyUnicode_Check(value)))
#else
    if (unlikely(value == NULL || !PyString_Check(value)))
#endif
    {
        PyErr_SetString(PyExc_TypeError,
                        "__name__ must be set to a string object");
        return -1;
    }
    tmp = self->gi_name;
    Py_INCREF(value);
    self->gi_name = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_Coroutine_get_qualname(__pyx_CoroutineObject *self, CYTHON_UNUSED void *context)
{
    PyObject *name = self->gi_qualname;
    if (unlikely(!name)) name = Py_None;
    Py_INCREF(name);
    return name;
}
static int
__Pyx_Coroutine_set_qualname(__pyx_CoroutineObject *self, PyObject *value, CYTHON_UNUSED void *context)
{
    PyObject *tmp;
#if PY_MAJOR_VERSION >= 3
    if (unlikely(value == NULL || !PyUnicode_Check(value)))
#else
    if (unlikely(value == NULL || !PyString_Check(value)))
#endif
    {
        PyErr_SetString(PyExc_TypeError,
                        "__qualname__ must be set to a string object");
        return -1;
    }
    tmp = self->gi_qualname;
    Py_INCREF(value);
    self->gi_qualname = value;
    Py_XDECREF(tmp);
    return 0;
}
static __pyx_CoroutineObject *__Pyx__Coroutine_New(
            PyTypeObject* type, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
            PyObject *name, PyObject *qualname, PyObject *module_name) {
    __pyx_CoroutineObject *gen = PyObject_GC_New(__pyx_CoroutineObject, type);
    if (unlikely(!gen))
        return NULL;
    return __Pyx__Coroutine_NewInit(gen, body, code, closure, name, qualname, module_name);
}
static __pyx_CoroutineObject *__Pyx__Coroutine_NewInit(
            __pyx_CoroutineObject *gen, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
            PyObject *name, PyObject *qualname, PyObject *module_name) {
    gen->body = body;
    gen->closure = closure;
    Py_XINCREF(closure);
    gen->is_running = 0;
    gen->resume_label = 0;
    gen->classobj = NULL;
    gen->yieldfrom = NULL;
    gen->gi_exc_state.exc_type = NULL;
    gen->gi_exc_state.exc_value = NULL;
    gen->gi_exc_state.exc_traceback = NULL;
#if CYTHON_USE_EXC_INFO_STACK
    gen->gi_exc_state.previous_item = NULL;
#endif
    gen->gi_weakreflist = NULL;
    Py_XINCREF(qualname);
    gen->gi_qualname = qualname;
    Py_XINCREF(name);
    gen->gi_name = name;
    Py_XINCREF(module_name);
    gen->gi_modulename = module_name;
    Py_XINCREF(code);
    gen->gi_code = code;
    PyObject_GC_Track(gen);
    return gen;
}

/* PatchModuleWithCoroutine */
    static PyObject* __Pyx_Coroutine_patch_module(PyObject* module, const char* py_code) {
#if defined(__Pyx_Generator_USED) || defined(__Pyx_Coroutine_USED)
    int result;
    PyObject *globals, *result_obj;
    globals = PyDict_New();  if (unlikely(!globals)) goto ignore;
    result = PyDict_SetItemString(globals, "_cython_coroutine_type",
    #ifdef __Pyx_Coroutine_USED
        (PyObject*)__pyx_CoroutineType);
    #else
        Py_None);
    #endif
    if (unlikely(result < 0)) goto ignore;
    result = PyDict_SetItemString(globals, "_cython_generator_type",
    #ifdef __Pyx_Generator_USED
        (PyObject*)__pyx_GeneratorType);
    #else
        Py_None);
    #endif
    if (unlikely(result < 0)) goto ignore;
    if (unlikely(PyDict_SetItemString(globals, "_module", module) < 0)) goto ignore;
    if (unlikely(PyDict_SetItemString(globals, "__builtins__", __pyx_b) < 0)) goto ignore;
    result_obj = PyRun_String(py_code, Py_file_input, globals, globals);
    if (unlikely(!result_obj)) goto ignore;
    Py_DECREF(result_obj);
    Py_DECREF(globals);
    return module;
ignore:
    Py_XDECREF(globals);
    PyErr_WriteUnraisable(module);
    if (unlikely(PyErr_WarnEx(PyExc_RuntimeWarning, "Cython module failed to patch module with custom type", 1) < 0)) {
        Py_DECREF(module);
        module = NULL;
    }
#else
    py_code++;
#endif
    return module;
}

/* PatchGeneratorABC */
    #ifndef CYTHON_REGISTER_ABCS
#define CYTHON_REGISTER_ABCS 1
#endif
#if defined(__Pyx_Generator_USED) || defined(__Pyx_Coroutine_USED)
static PyObject* __Pyx_patch_abc_module(PyObject *module);
static PyObject* __Pyx_patch_abc_module(PyObject *module) {
    module = __Pyx_Coroutine_patch_module(
        module, ""
"if _cython_generator_type is not None:\n"
"    try: Generator = _module.Generator\n"
"    except AttributeError: pass\n"
"    else: Generator.register(_cython_generator_type)\n"
"if _cython_coroutine_type is not None:\n"
"    try: Coroutine = _module.Coroutine\n"
"    except AttributeError: pass\n"
"    else: Coroutine.register(_cython_coroutine_type)\n"
    );
    return module;
}
#endif
static int __Pyx_patch_abc(void) {
#if defined(__Pyx_Generator_USED) || defined(__Pyx_Coroutine_USED)
    static int abc_patched = 0;
    if (CYTHON_REGISTER_ABCS && !abc_patched) {
        PyObject *module;
        module = PyImport_ImportModule((PY_MAJOR_VERSION >= 3) ? "collections.abc" : "collections");
        if (!module) {
            PyErr_WriteUnraisable(NULL);
            if (unlikely(PyErr_WarnEx(PyExc_RuntimeWarning,
                    ((PY_MAJOR_VERSION >= 3) ?
                        "Cython module failed to register with collections.abc module" :
                        "Cython module failed to register with collections module"), 1) < 0)) {
                return -1;
            }
        } else {
            module = __Pyx_patch_abc_module(module);
            abc_patched = 1;
            if (unlikely(!module))
                return -1;
            Py_DECREF(module);
        }
        module = PyImport_ImportModule("backports_abc");
        if (module) {
            module = __Pyx_patch_abc_module(module);
            Py_XDECREF(module);
        }
        if (!module) {
            PyErr_Clear();
        }
    }
#else
    if ((0)) __Pyx_Coroutine_patch_module(NULL, NULL);
#endif
    return 0;
}

/* Generator */
    static PyMethodDef __pyx_Generator_methods[] = {
    {"send", (PyCFunction) __Pyx_Coroutine_Send, METH_O,
     (char*) PyDoc_STR("send(arg) -> send 'arg' into generator,\nreturn next yielded value or raise StopIteration.")},
    {"throw", (PyCFunction) __Pyx_Coroutine_Throw, METH_VARARGS,
     (char*) PyDoc_STR("throw(typ[,val[,tb]]) -> raise exception in generator,\nreturn next yielded value or raise StopIteration.")},
    {"close", (PyCFunction) __Pyx_Coroutine_Close_Method, METH_NOARGS,
     (char*) PyDoc_STR("close() -> raise GeneratorExit inside generator.")},
    {0, 0, 0, 0}
};
static PyMemberDef __pyx_Generator_memberlist[] = {
    {(char *) "gi_running", T_BOOL, offsetof(__pyx_CoroutineObject, is_running), READONLY, NULL},
    {(char*) "gi_yieldfrom", T_OBJECT, offsetof(__pyx_CoroutineObject, yieldfrom), READONLY,
     (char*) PyDoc_STR("object being iterated by 'yield from', or None")},
    {(char*) "gi_code", T_OBJECT, offsetof(__pyx_CoroutineObject, gi_code), READONLY, NULL},
    {0, 0, 0, 0, 0}
};
static PyGetSetDef __pyx_Generator_getsets[] = {
    {(char *) "__name__", (getter)__Pyx_Coroutine_get_name, (setter)__Pyx_Coroutine_set_name,
     (char*) PyDoc_STR("name of the generator"), 0},
    {(char *) "__qualname__", (getter)__Pyx_Coroutine_get_qualname, (setter)__Pyx_Coroutine_set_qualname,
     (char*) PyDoc_STR("qualified name of the generator"), 0},
    {0, 0, 0, 0, 0}
};
static PyTypeObject __pyx_GeneratorType_type = {
    PyVarObject_HEAD_INIT(0, 0)
    "generator",
    sizeof(__pyx_CoroutineObject),
    0,
    (destructor) __Pyx_Coroutine_dealloc,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_HAVE_FINALIZE,
    0,
    (traverseproc) __Pyx_Coroutine_traverse,
    0,
    0,
    offsetof(__pyx_CoroutineObject, gi_weakreflist),
    0,
    (iternextfunc) __Pyx_Generator_Next,
    __pyx_Generator_methods,
    __pyx_Generator_memberlist,
    __pyx_Generator_getsets,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
#if CYTHON_USE_TP_FINALIZE
    0,
#else
    __Pyx_Coroutine_del,
#endif
    0,
#if CYTHON_USE_TP_FINALIZE
    __Pyx_Coroutine_del,
#elif PY_VERSION_HEX >= 0x030400a1
    0,
#endif
#if PY_VERSION_HEX >= 0x030800b1
    0,
#endif
#if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
    0,
#endif
};
static int __pyx_Generator_init(void) {
    __pyx_GeneratorType_type.tp_getattro = __Pyx_PyObject_GenericGetAttrNoDict;
    __pyx_GeneratorType_type.tp_iter = PyObject_SelfIter;
    __pyx_GeneratorType = __Pyx_FetchCommonType(&__pyx_GeneratorType_type);
    if (unlikely(!__pyx_GeneratorType)) {
        return -1;
    }
    return 0;
}

/* IsLittleEndian */
    static CYTHON_INLINE int __Pyx_Is_Little_Endian(void)
{
  union {
    uint32_t u32;
    uint8_t u8[4];
  } S;
  S.u32 = 0x01020304;
  return S.u8[0] == 4;
}

/* BufferFormatCheck */
    static void __Pyx_BufFmt_Init(__Pyx_BufFmt_Context* ctx,
                              __Pyx_BufFmt_StackElem* stack,
                              __Pyx_TypeInfo* type) {
  stack[0].field = &ctx->root;
  stack[0].parent_offset = 0;
  ctx->root.type = type;
  ctx->root.name = "buffer dtype";
  ctx->root.offset = 0;
  ctx->head = stack;
  ctx->head->field = &ctx->root;
  ctx->fmt_offset = 0;
  ctx->head->parent_offset = 0;
  ctx->new_packmode = '@';
  ctx->enc_packmode = '@';
  ctx->new_count = 1;
  ctx->enc_count = 0;
  ctx->enc_type = 0;
  ctx->is_complex = 0;
  ctx->is_valid_array = 0;
  ctx->struct_alignment = 0;
  while (type->typegroup == 'S') {
    ++ctx->head;
    ctx->head->field = type->fields;
    ctx->head->parent_offset = 0;
    type = type->fields->type;
  }
}
static int __Pyx_BufFmt_ParseNumber(const char** ts) {
    int count;
    const char* t = *ts;
    if (*t < '0' || *t > '9') {
      return -1;
    } else {
        count = *t++ - '0';
        while (*t >= '0' && *t <= '9') {
            count *= 10;
            count += *t++ - '0';
        }
    }
    *ts = t;
    return count;
}
static int __Pyx_BufFmt_ExpectNumber(const char **ts) {
    int number = __Pyx_BufFmt_ParseNumber(ts);
    if (number == -1)
        PyErr_Format(PyExc_ValueError,\
                     "Does not understand character buffer dtype format string ('%c')", **ts);
    return number;
}
static void __Pyx_BufFmt_RaiseUnexpectedChar(char ch) {
  PyErr_Format(PyExc_ValueError,
               "Unexpected format string character: '%c'", ch);
}
static const char* __Pyx_BufFmt_DescribeTypeChar(char ch, int is_complex) {
  switch (ch) {
    case '?': return "'bool'";
    case 'c': return "'char'";
    case 'b': return "'signed char'";
    case 'B': return "'unsigned char'";
    case 'h': return "'short'";
    case 'H': return "'unsigned short'";
    case 'i': return "'int'";
    case 'I': return "'unsigned int'";
    case 'l': return "'long'";
    case 'L': return "'unsigned long'";
    case 'q': return "'long long'";
    case 'Q': return "'unsigned long long'";
    case 'f': return (is_complex ? "'complex float'" : "'float'");
    case 'd': return (is_complex ? "'complex double'" : "'double'");
    case 'g': return (is_complex ? "'complex long double'" : "'long double'");
    case 'T': return "a struct";
    case 'O': return "Python object";
    case 'P': return "a pointer";
    case 's': case 'p': return "a string";
    case 0: return "end";
    default: return "unparseable format string";
  }
}
static size_t __Pyx_BufFmt_TypeCharToStandardSize(char ch, int is_complex) {
  switch (ch) {
    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
    case 'h': case 'H': return 2;
    case 'i': case 'I': case 'l': case 'L': return 4;
    case 'q': case 'Q': return 8;
    case 'f': return (is_complex ? 8 : 4);
    case 'd': return (is_complex ? 16 : 8);
    case 'g': {
      PyErr_SetString(PyExc_ValueError, "Python does not define a standard format string size for long double ('g')..");
      return 0;
    }
    case 'O': case 'P': return sizeof(void*);
    default:
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
}
static size_t __Pyx_BufFmt_TypeCharToNativeSize(char ch, int is_complex) {
  switch (ch) {
    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
    case 'h': case 'H': return sizeof(short);
    case 'i': case 'I': return sizeof(int);
    case 'l': case 'L': return sizeof(long);
    #ifdef HAVE_LONG_LONG
    case 'q': case 'Q': return sizeof(PY_LONG_LONG);
    #endif
    case 'f': return sizeof(float) * (is_complex ? 2 : 1);
    case 'd': return sizeof(double) * (is_complex ? 2 : 1);
    case 'g': return sizeof(long double) * (is_complex ? 2 : 1);
    case 'O': case 'P': return sizeof(void*);
    default: {
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
  }
}
typedef struct { char c; short x; } __Pyx_st_short;
typedef struct { char c; int x; } __Pyx_st_int;
typedef struct { char c; long x; } __Pyx_st_long;
typedef struct { char c; float x; } __Pyx_st_float;
typedef struct { char c; double x; } __Pyx_st_double;
typedef struct { char c; long double x; } __Pyx_st_longdouble;
typedef struct { char c; void *x; } __Pyx_st_void_p;
#ifdef HAVE_LONG_LONG
typedef struct { char c; PY_LONG_LONG x; } __Pyx_st_longlong;
#endif
static size_t __Pyx_BufFmt_TypeCharToAlignment(char ch, CYTHON_UNUSED int is_complex) {
  switch (ch) {
    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
    case 'h': case 'H': return sizeof(__Pyx_st_short) - sizeof(short);
    case 'i': case 'I': return sizeof(__Pyx_st_int) - sizeof(int);
    case 'l': case 'L': return sizeof(__Pyx_st_long) - sizeof(long);
#ifdef HAVE_LONG_LONG
    case 'q': case 'Q': return sizeof(__Pyx_st_longlong) - sizeof(PY_LONG_LONG);
#endif
    case 'f': return sizeof(__Pyx_st_float) - sizeof(float);
    case 'd': return sizeof(__Pyx_st_double) - sizeof(double);
    case 'g': return sizeof(__Pyx_st_longdouble) - sizeof(long double);
    case 'P': case 'O': return sizeof(__Pyx_st_void_p) - sizeof(void*);
    default:
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
}
/* These are for computing the padding at the end of the struct to align
   on the first member of the struct. This will probably the same as above,
   but we don't have any guarantees.
 */
typedef struct { short x; char c; } __Pyx_pad_short;
typedef struct { int x; char c; } __Pyx_pad_int;
typedef struct { long x; char c; } __Pyx_pad_long;
typedef struct { float x; char c; } __Pyx_pad_float;
typedef struct { double x; char c; } __Pyx_pad_double;
typedef struct { long double x; char c; } __Pyx_pad_longdouble;
typedef struct { void *x; char c; } __Pyx_pad_void_p;
#ifdef HAVE_LONG_LONG
typedef struct { PY_LONG_LONG x; char c; } __Pyx_pad_longlong;
#endif
static size_t __Pyx_BufFmt_TypeCharToPadding(char ch, CYTHON_UNUSED int is_complex) {
  switch (ch) {
    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
    case 'h': case 'H': return sizeof(__Pyx_pad_short) - sizeof(short);
    case 'i': case 'I': return sizeof(__Pyx_pad_int) - sizeof(int);
    case 'l': case 'L': return sizeof(__Pyx_pad_long) - sizeof(long);
#ifdef HAVE_LONG_LONG
    case 'q': case 'Q': return sizeof(__Pyx_pad_longlong) - sizeof(PY_LONG_LONG);
#endif
    case 'f': return sizeof(__Pyx_pad_float) - sizeof(float);
    case 'd': return sizeof(__Pyx_pad_double) - sizeof(double);
    case 'g': return sizeof(__Pyx_pad_longdouble) - sizeof(long double);
    case 'P': case 'O': return sizeof(__Pyx_pad_void_p) - sizeof(void*);
    default:
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
}
static char __Pyx_BufFmt_TypeCharToGroup(char ch, int is_complex) {
  switch (ch) {
    case 'c':
        return 'H';
    case 'b': case 'h': case 'i':
    case 'l': case 'q': case 's': case 'p':
        return 'I';
    case '?': case 'B': case 'H': case 'I': case 'L': case 'Q':
        return 'U';
    case 'f': case 'd': case 'g':
        return (is_complex ? 'C' : 'R');
    case 'O':
        return 'O';
    case 'P':
        return 'P';
    default: {
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
  }
}
static void __Pyx_BufFmt_RaiseExpected(__Pyx_BufFmt_Context* ctx) {
  if (ctx->head == NULL || ctx->head->field == &ctx->root) {
    const char* expected;
    const char* quote;
    if (ctx->head == NULL) {
      expected = "end";
      quote = "";
    } else {
      expected = ctx->head->field->type->name;
      quote = "'";
    }
    PyErr_Format(PyExc_ValueError,
                 "Buffer dtype mismatch, expected %s%s%s but got %s",
                 quote, expected, quote,
                 __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex));
  } else {
    __Pyx_StructField* field = ctx->head->field;
    __Pyx_StructField* parent = (ctx->head - 1)->field;
    PyErr_Format(PyExc_ValueError,
                 "Buffer dtype mismatch, expected '%s' but got %s in '%s.%s'",
                 field->type->name, __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex),
                 parent->type->name, field->name);
  }
}
static int __Pyx_BufFmt_ProcessTypeChunk(__Pyx_BufFmt_Context* ctx) {
  char group;
  size_t size, offset, arraysize = 1;
  if (ctx->enc_type == 0) return 0;
  if (ctx->head->field->type->arraysize[0]) {
    int i, ndim = 0;
    if (ctx->enc_type == 's' || ctx->enc_type == 'p') {
        ctx->is_valid_array = ctx->head->field->type->ndim == 1;
        ndim = 1;
        if (ctx->enc_count != ctx->head->field->type->arraysize[0]) {
            PyErr_Format(PyExc_ValueError,
                         "Expected a dimension of size %zu, got %zu",
                         ctx->head->field->type->arraysize[0], ctx->enc_count);
            return -1;
        }
    }
    if (!ctx->is_valid_array) {
      PyErr_Format(PyExc_ValueError, "Expected %d dimensions, got %d",
                   ctx->head->field->type->ndim, ndim);
      return -1;
    }
    for (i = 0; i < ctx->head->field->type->ndim; i++) {
      arraysize *= ctx->head->field->type->arraysize[i];
    }
    ctx->is_valid_array = 0;
    ctx->enc_count = 1;
  }
  group = __Pyx_BufFmt_TypeCharToGroup(ctx->enc_type, ctx->is_complex);
  do {
    __Pyx_StructField* field = ctx->head->field;
    __Pyx_TypeInfo* type = field->type;
    if (ctx->enc_packmode == '@' || ctx->enc_packmode == '^') {
      size = __Pyx_BufFmt_TypeCharToNativeSize(ctx->enc_type, ctx->is_complex);
    } else {
      size = __Pyx_BufFmt_TypeCharToStandardSize(ctx->enc_type, ctx->is_complex);
    }
    if (ctx->enc_packmode == '@') {
      size_t align_at = __Pyx_BufFmt_TypeCharToAlignment(ctx->enc_type, ctx->is_complex);
      size_t align_mod_offset;
      if (align_at == 0) return -1;
      align_mod_offset = ctx->fmt_offset % align_at;
      if (align_mod_offset > 0) ctx->fmt_offset += align_at - align_mod_offset;
      if (ctx->struct_alignment == 0)
          ctx->struct_alignment = __Pyx_BufFmt_TypeCharToPadding(ctx->enc_type,
                                                                 ctx->is_complex);
    }
    if (type->size != size || type->typegroup != group) {
      if (type->typegroup == 'C' && type->fields != NULL) {
        size_t parent_offset = ctx->head->parent_offset + field->offset;
        ++ctx->head;
        ctx->head->field = type->fields;
        ctx->head->parent_offset = parent_offset;
        continue;
      }
      if ((type->typegroup == 'H' || group == 'H') && type->size == size) {
      } else {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return -1;
      }
    }
    offset = ctx->head->parent_offset + field->offset;
    if (ctx->fmt_offset != offset) {
      PyErr_Format(PyExc_ValueError,
                   "Buffer dtype mismatch; next field is at offset %" CYTHON_FORMAT_SSIZE_T "d but %" CYTHON_FORMAT_SSIZE_T "d expected",
                   (Py_ssize_t)ctx->fmt_offset, (Py_ssize_t)offset);
      return -1;
    }
    ctx->fmt_offset += size;
    if (arraysize)
      ctx->fmt_offset += (arraysize - 1) * size;
    --ctx->enc_count;
    while (1) {
      if (field == &ctx->root) {
        ctx->head = NULL;
        if (ctx->enc_count != 0) {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return -1;
        }
        break;
      }
      ctx->head->field = ++field;
      if (field->type == NULL) {
        --ctx->head;
        field = ctx->head->field;
        continue;
      } else if (field->type->typegroup == 'S') {
        size_t parent_offset = ctx->head->parent_offset + field->offset;
        if (field->type->fields->type == NULL) continue;
        field = field->type->fields;
        ++ctx->head;
        ctx->head->field = field;
        ctx->head->parent_offset = parent_offset;
        break;
      } else {
        break;
      }
    }
  } while (ctx->enc_count);
  ctx->enc_type = 0;
  ctx->is_complex = 0;
  return 0;
}
static PyObject *
__pyx_buffmt_parse_array(__Pyx_BufFmt_Context* ctx, const char** tsp)
{
    const char *ts = *tsp;
    int i = 0, number;
    int ndim = ctx->head->field->type->ndim;
;
    ++ts;
    if (ctx->new_count != 1) {
        PyErr_SetString(PyExc_ValueError,
                        "Cannot handle repeated arrays in format string");
        return NULL;
    }
    if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
    while (*ts && *ts != ')') {
        switch (*ts) {
            case ' ': case '\f': case '\r': case '\n': case '\t': case '\v':  continue;
            default:  break;
        }
        number = __Pyx_BufFmt_ExpectNumber(&ts);
        if (number == -1) return NULL;
        if (i < ndim && (size_t) number != ctx->head->field->type->arraysize[i])
            return PyErr_Format(PyExc_ValueError,
                        "Expected a dimension of size %zu, got %d",
                        ctx->head->field->type->arraysize[i], number);
        if (*ts != ',' && *ts != ')')
            return PyErr_Format(PyExc_ValueError,
                                "Expected a comma in format string, got '%c'", *ts);
        if (*ts == ',') ts++;
        i++;
    }
    if (i != ndim)
        return PyErr_Format(PyExc_ValueError, "Expected %d dimension(s), got %d",
                            ctx->head->field->type->ndim, i);
    if (!*ts) {
        PyErr_SetString(PyExc_ValueError,
                        "Unexpected end of format string, expected ')'");
        return NULL;
    }
    ctx->is_valid_array = 1;
    ctx->new_count = 1;
    *tsp = ++ts;
    return Py_None;
}
static const char* __Pyx_BufFmt_CheckString(__Pyx_BufFmt_Context* ctx, const char* ts) {
  int got_Z = 0;
  while (1) {
    switch(*ts) {
      case 0:
        if (ctx->enc_type != 0 && ctx->head == NULL) {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return NULL;
        }
        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
        if (ctx->head != NULL) {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return NULL;
        }
        return ts;
      case ' ':
      case '\r':
      case '\n':
        ++ts;
        break;
      case '<':
        if (!__Pyx_Is_Little_Endian()) {
          PyErr_SetString(PyExc_ValueError, "Little-endian buffer not supported on big-endian compiler");
          return NULL;
        }
        ctx->new_packmode = '=';
        ++ts;
        break;
      case '>':
      case '!':
        if (__Pyx_Is_Little_Endian()) {
          PyErr_SetString(PyExc_ValueError, "Big-endian buffer not supported on little-endian compiler");
          return NULL;
        }
        ctx->new_packmode = '=';
        ++ts;
        break;
      case '=':
      case '@':
      case '^':
        ctx->new_packmode = *ts++;
        break;
      case 'T':
        {
          const char* ts_after_sub;
          size_t i, struct_count = ctx->new_count;
          size_t struct_alignment = ctx->struct_alignment;
          ctx->new_count = 1;
          ++ts;
          if (*ts != '{') {
            PyErr_SetString(PyExc_ValueError, "Buffer acquisition: Expected '{' after 'T'");
            return NULL;
          }
          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
          ctx->enc_type = 0;
          ctx->enc_count = 0;
          ctx->struct_alignment = 0;
          ++ts;
          ts_after_sub = ts;
          for (i = 0; i != struct_count; ++i) {
            ts_after_sub = __Pyx_BufFmt_CheckString(ctx, ts);
            if (!ts_after_sub) return NULL;
          }
          ts = ts_after_sub;
          if (struct_alignment) ctx->struct_alignment = struct_alignment;
        }
        break;
      case '}':
        {
          size_t alignment = ctx->struct_alignment;
          ++ts;
          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
          ctx->enc_type = 0;
          if (alignment && ctx->fmt_offset % alignment) {
            ctx->fmt_offset += alignment - (ctx->fmt_offset % alignment);
          }
        }
        return ts;
      case 'x':
        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
        ctx->fmt_offset += ctx->new_count;
        ctx->new_count = 1;
        ctx->enc_count = 0;
        ctx->enc_type = 0;
        ctx->enc_packmode = ctx->new_packmode;
        ++ts;
        break;
      case 'Z':
        got_Z = 1;
        ++ts;
        if (*ts != 'f' && *ts != 'd' && *ts != 'g') {
          __Pyx_BufFmt_RaiseUnexpectedChar('Z');
          return NULL;
        }
        CYTHON_FALLTHROUGH;
      case '?': case 'c': case 'b': case 'B': case 'h': case 'H': case 'i': case 'I':
      case 'l': case 'L': case 'q': case 'Q':
      case 'f': case 'd': case 'g':
      case 'O': case 'p':
        if (ctx->enc_type == *ts && got_Z == ctx->is_complex &&
            ctx->enc_packmode == ctx->new_packmode) {
          ctx->enc_count += ctx->new_count;
          ctx->new_count = 1;
          got_Z = 0;
          ++ts;
          break;
        }
        CYTHON_FALLTHROUGH;
      case 's':
        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
        ctx->enc_count = ctx->new_count;
        ctx->enc_packmode = ctx->new_packmode;
        ctx->enc_type = *ts;
        ctx->is_complex = got_Z;
        ++ts;
        ctx->new_count = 1;
        got_Z = 0;
        break;
      case ':':
        ++ts;
        while(*ts != ':') ++ts;
        ++ts;
        break;
      case '(':
        if (!__pyx_buffmt_parse_array(ctx, &ts)) return NULL;
        break;
      default:
        {
          int number = __Pyx_BufFmt_ExpectNumber(&ts);
          if (number == -1) return NULL;
          ctx->new_count = (size_t)number;
        }
    }
  }
}

/* TypeInfoCompare */
      static int
__pyx_typeinfo_cmp(__Pyx_TypeInfo *a, __Pyx_TypeInfo *b)
{
    int i;
    if (!a || !b)
        return 0;
    if (a == b)
        return 1;
    if (a->size != b->size || a->typegroup != b->typegroup ||
            a->is_unsigned != b->is_unsigned || a->ndim != b->ndim) {
        if (a->typegroup == 'H' || b->typegroup == 'H') {
            return a->size == b->size;
        } else {
            return 0;
        }
    }
    if (a->ndim) {
        for (i = 0; i < a->ndim; i++)
            if (a->arraysize[i] != b->arraysize[i])
                return 0;
    }
    if (a->typegroup == 'S') {
        if (a->flags != b->flags)
            return 0;
        if (a->fields || b->fields) {
            if (!(a->fields && b->fields))
                return 0;
            for (i = 0; a->fields[i].type && b->fields[i].type; i++) {
                __Pyx_StructField *field_a = a->fields + i;
                __Pyx_StructField *field_b = b->fields + i;
                if (field_a->offset != field_b->offset ||
                    !__pyx_typeinfo_cmp(field_a->type, field_b->type))
                    return 0;
            }
            return !a->fields[i].type && !b->fields[i].type;
        }
    }
    return 1;
}

/* MemviewSliceValidateAndInit */
      static int
__pyx_check_strides(Py_buffer *buf, int dim, int ndim, int spec)
{
    if (buf->shape[dim] <= 1)
        return 1;
    if (buf->strides) {
        if (spec & __Pyx_MEMVIEW_CONTIG) {
            if (spec & (__Pyx_MEMVIEW_PTR|__Pyx_MEMVIEW_FULL)) {
                if (buf->strides[dim] != sizeof(void *)) {
                    PyErr_Format(PyExc_ValueError,
                                 "Buffer is not indirectly contiguous "
                                 "in dimension %d.", dim);
                    goto fail;
                }
            } else if (buf->strides[dim] != buf->itemsize) {
                PyErr_SetString(PyExc_ValueError,
                                "Buffer and memoryview are not contiguous "
                                "in the same dimension.");
                goto fail;
            }
        }
        if (spec & __Pyx_MEMVIEW_FOLLOW) {
            Py_ssize_t stride = buf->strides[dim];
            if (stride < 0)
                stride = -stride;
            if (stride < buf->itemsize) {
                PyErr_SetString(PyExc_ValueError,
                                "Buffer and memoryview are not contiguous "
                                "in the same dimension.");
                goto fail;
            }
        }
    } else {
        if (spec & __Pyx_MEMVIEW_CONTIG && dim != ndim - 1) {
            PyErr_Format(PyExc_ValueError,
                         "C-contiguous buffer is not contiguous in "
                         "dimension %d", dim);
            goto fail;
        } else if (spec & (__Pyx_MEMVIEW_PTR)) {
            PyErr_Format(PyExc_ValueError,
                         "C-contiguous buffer is not indirect in "
                         "dimension %d", dim);
            goto fail;
        } else if (buf->suboffsets) {
            PyErr_SetString(PyExc_ValueError,
                            "Buffer exposes suboffsets but no strides");
            goto fail;
        }
    }
    return 1;
fail:
    return 0;
}
static int
__pyx_check_suboffsets(Py_buffer *buf, int dim, CYTHON_UNUSED int ndim, int spec)
{
    if (spec & __Pyx_MEMVIEW_DIRECT) {
        if (buf->suboffsets && buf->suboffsets[dim] >= 0) {
            PyErr_Format(PyExc_ValueError,
                         "Buffer not compatible with direct access "
                         "in dimension %d.", dim);
            goto fail;
        }
    }
    if (spec & __Pyx_MEMVIEW_PTR) {
        if (!buf->suboffsets || (buf->suboffsets[dim] < 0)) {
            PyErr_Format(PyExc_ValueError,
                         "Buffer is not indirectly accessible "
                         "in dimension %d.", dim);
            goto fail;
        }
    }
    return 1;
fail:
    return 0;
}
static int
__pyx_verify_contig(Py_buffer *buf, int ndim, int c_or_f_flag)
{
    int i;
    if (c_or_f_flag & __Pyx_IS_F_CONTIG) {
        Py_ssize_t stride = 1;
        for (i = 0; i < ndim; i++) {
            if (stride * buf->itemsize != buf->strides[i] &&
                    buf->shape[i] > 1)
            {
                PyErr_SetString(PyExc_ValueError,
                    "Buffer not fortran contiguous.");
                goto fail;
            }
            stride = stride * buf->shape[i];
        }
    } else if (c_or_f_flag & __Pyx_IS_C_CONTIG) {
        Py_ssize_t stride = 1;
        for (i = ndim - 1; i >- 1; i--) {
            if (stride * buf->itemsize != buf->strides[i] &&
                    buf->shape[i] > 1) {
                PyErr_SetString(PyExc_ValueError,
                    "Buffer not C contiguous.");
                goto fail;
            }
            stride = stride * buf->shape[i];
        }
    }
    return 1;
fail:
    return 0;
}
static int __Pyx_ValidateAndInit_memviewslice(
                int *axes_specs,
                int c_or_f_flag,
                int buf_flags,
                int ndim,
                __Pyx_TypeInfo *dtype,
                __Pyx_BufFmt_StackElem stack[],
                __Pyx_memviewslice *memviewslice,
                PyObject *original_obj)
{
    struct __pyx_memoryview_obj *memview, *new_memview;
    __Pyx_RefNannyDeclarations
    Py_buffer *buf;
    int i, spec = 0, retval = -1;
    __Pyx_BufFmt_Context ctx;
    int from_memoryview = __pyx_memoryview_check(original_obj);
    __Pyx_RefNannySetupContext("ValidateAndInit_memviewslice", 0);
    if (from_memoryview && __pyx_typeinfo_cmp(dtype, ((struct __pyx_memoryview_obj *)
                                                            original_obj)->typeinfo)) {
        memview = (struct __pyx_memoryview_obj *) original_obj;
        new_memview = NULL;
    } else {
        memview = (struct __pyx_memoryview_obj *) __pyx_memoryview_new(
                                            original_obj, buf_flags, 0, dtype);
        new_memview = memview;
        if (unlikely(!memview))
            goto fail;
    }
    buf = &memview->view;
    if (buf->ndim != ndim) {
        PyErr_Format(PyExc_ValueError,
                "Buffer has wrong number of dimensions (expected %d, got %d)",
                ndim, buf->ndim);
        goto fail;
    }
    if (new_memview) {
        __Pyx_BufFmt_Init(&ctx, stack, dtype);
        if (!__Pyx_BufFmt_CheckString(&ctx, buf->format)) goto fail;
    }
    if ((unsigned) buf->itemsize != dtype->size) {
        PyErr_Format(PyExc_ValueError,
                     "Item size of buffer (%" CYTHON_FORMAT_SSIZE_T "u byte%s) "
                     "does not match size of '%s' (%" CYTHON_FORMAT_SSIZE_T "u byte%s)",
                     buf->itemsize,
                     (buf->itemsize > 1) ? "s" : "",
                     dtype->name,
                     dtype->size,
                     (dtype->size > 1) ? "s" : "");
        goto fail;
    }
    for (i = 0; i < ndim; i++) {
        spec = axes_specs[i];
        if (!__pyx_check_strides(buf, i, ndim, spec))
            goto fail;
        if (!__pyx_check_suboffsets(buf, i, ndim, spec))
            goto fail;
    }
    if (buf->strides && !__pyx_verify_contig(buf, ndim, c_or_f_flag))
        goto fail;
    if (unlikely(__Pyx_init_memviewslice(memview, ndim, memviewslice,
                                         new_memview != NULL) == -1)) {
        goto fail;
    }
    retval = 0;
    goto no_fail;
fail:
    Py_XDECREF(new_memview);
    retval = -1;
no_fail:
    __Pyx_RefNannyFinishContext();
    return retval;
}

/* ObjectToMemviewSlice */
      static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_ds_double(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,
                                                 PyBUF_RECORDS_RO | writable_flag, 1,
                                                 &__Pyx_TypeInfo_double, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
      static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsds_double(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,
                                                 PyBUF_RECORDS_RO | writable_flag, 2,
                                                 &__Pyx_TypeInfo_double, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* CheckBinaryVersion */
      static int __Pyx_check_binary_version(void) {
    char ctversion[4], rtversion[4];
    PyOS_snprintf(ctversion, 4, "%d.%d", PY_MAJOR_VERSION, PY_MINOR_VERSION);
    PyOS_snprintf(rtversion, 4, "%s", Py_GetVersion());
    if (ctversion[0] != rtversion[0] || ctversion[2] != rtversion[2]) {
        char message[200];
        PyOS_snprintf(message, sizeof(message),
                      "compiletime version %s of module '%.100s' "
                      "does not match runtime version %s",
                      ctversion, __Pyx_MODULE_NAME, rtversion);
        return PyErr_WarnEx(NULL, message, 1);
    }
    return 0;
}

/* FunctionImport */
      #ifndef __PYX_HAVE_RT_ImportFunction
#define __PYX_HAVE_RT_ImportFunction
static int __Pyx_ImportFunction(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 PY_VERSION_HEX >= 0x02070000
    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);
#else
    {const char *desc, *s1, *s2;
    desc = (const char *)PyCObject_GetDesc(cobj);
    if (!desc)
        goto bad;
    s1 = desc; s2 = sig;
    while (*s1 != '\0' && *s1 == *s2) { s1++; s2++; }
    if (*s1 != *s2) {
        PyErr_Format(PyExc_TypeError,
            "C function %.200s.%.200s has wrong signature (expected %.500s, got %.500s)",
             PyModule_GetName(module), funcname, sig, desc);
        goto bad;
    }
    tmp.p = PyCObject_AsVoidPtr(cobj);}
#endif
    *f = tmp.fp;
    if (!(*f))
        goto bad;
    Py_DECREF(d);
    return 0;
bad:
    Py_XDECREF(d);
    return -1;
}
#endif

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

static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char* c_str) {
    return __Pyx_PyUnicode_FromStringAndSize(c_str, (Py_ssize_t)strlen(c_str));
}
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) || (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) {
#if PY_MAJOR_VERSION >= 3
    if (PyLong_Check(result)) {
        if (PyErr_WarnFormat(PyExc_DeprecationWarning, 1,
                "__int__ returned non-int (type %.200s).  "
                "The ability to return an instance of a strict subclass of int "
                "is deprecated, and may be removed in a future version of Python.",
                Py_TYPE(result)->tp_name)) {
            Py_DECREF(result);
            return NULL;
        }
        return result;
    }
#endif
    PyErr_Format(PyExc_TypeError,
                 "__%.4s__ returned non-%.4s (type %.200s)",
                 type_name, type_name, Py_TYPE(result)->tp_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
    const digit* digits = ((PyLongObject*)b)->ob_digit;
    const Py_ssize_t size = Py_SIZE(b);
    if (likely(__Pyx_sst_abs(size) <= 1)) {
        ival = likely(size) ? digits[0] : 0;
        if (size == -1) ival = -ival;
        return ival;
    } else {
      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 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);
}


#endif /* Py_PYTHON_H */
