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#define __PYX_HAVE__pomegranate__hmm
#define __PYX_HAVE_API__pomegranate__hmm
#include "math.h"
#include "string.h"
#include "stdio.h"
#include "stdlib.h"
#include "numpy/arrayobject.h"
#include "numpy/ufuncobject.h"
#include "pythread.h"
#include "pystate.h"
#ifdef _OPENMP
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#ifdef PYREX_WITHOUT_ASSERTIONS
#define CYTHON_WITHOUT_ASSERTIONS
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#ifndef CYTHON_UNUSED
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#   if !(defined(__cplusplus)) || (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 4))
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#     define CYTHON_UNUSED
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# elif defined(__ICC) || (defined(__INTEL_COMPILER) && !defined(_MSC_VER))
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# if CYTHON_COMPILING_IN_CPYTHON
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#define __Pyx_long_cast(x) ((long)x)
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#elif SIZEOF_INT >= SIZEOF_SIZE_T
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#elif SIZEOF_LONG >= SIZEOF_SIZE_T
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#elif defined (_MSC_VER) && defined (_M_X64)
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#elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
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#elif defined (__GNUC__)
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static CYTHON_INLINE char* __Pyx_PyObject_AsString(PyObject*);
static CYTHON_INLINE char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length);
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#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
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#define __Pyx_PyObject_AsUString(s)    ((unsigned char*) __Pyx_PyObject_AsString(s))
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{
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#define __Pyx_PyUnicode_FromUnicode(u)       PyUnicode_FromUnicode(u, __Pyx_Py_UNICODE_strlen(u))
#define __Pyx_PyUnicode_FromUnicodeAndLength PyUnicode_FromUnicode
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static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t);
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#define __pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x))
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#define __pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x)
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#define __pyx_PyFloat_AsFloat(x) ((float) __pyx_PyFloat_AsDouble(x))
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    if (!default_encoding) goto bad;
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            PyErr_Format(
                PyExc_ValueError,
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            goto bad;
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        Py_DECREF(ascii_chars_u);
        Py_DECREF(ascii_chars_b);
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bad:
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    Py_XDECREF(ascii_chars_u);
    Py_XDECREF(ascii_chars_b);
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#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) {
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    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;
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    __PYX_DEFAULT_STRING_ENCODING = (char*) malloc(strlen(default_encoding_c));
    if (!__PYX_DEFAULT_STRING_ENCODING) goto bad;
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bad:
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/* Test for GCC > 2.95 */
#if defined(__GNUC__)     && (__GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95)))
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  #define unlikely(x) __builtin_expect(!!(x), 0)
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static PyObject *__pyx_m;
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static PyObject *__pyx_b;
static PyObject *__pyx_empty_tuple;
static PyObject *__pyx_empty_bytes;
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#if CYTHON_CCOMPLEX
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#endif
#if CYTHON_CCOMPLEX && !defined(__cplusplus) && defined(__sun__) && defined(__GNUC__)
  #undef _Complex_I
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static const char *__pyx_f[] = {
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};
struct __pyx_memoryview_obj;
typedef struct {
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#define IS_UNSIGNED(type) (((type) -1) > 0)
struct __Pyx_StructField_;
#define __PYX_BUF_FLAGS_PACKED_STRUCT (1 << 0)
typedef struct {
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typedef struct {
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  char enc_type;
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#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


/* "../../anaconda/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":725
 * # 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;

/* "../../anaconda/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":726
 * 
 * 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;

/* "../../anaconda/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":727
 * 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;

/* "../../anaconda/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":728
 * 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;

/* "../../anaconda/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":732
 * #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;

/* "../../anaconda/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":733
 * 
 * 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;

/* "../../anaconda/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":734
 * 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;

/* "../../anaconda/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":735
 * 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;

/* "../../anaconda/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":739
 * #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;

/* "../../anaconda/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":740
 * 
 * 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;

/* "../../anaconda/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":749
 * # 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;

/* "../../anaconda/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":750
 * # 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;

/* "../../anaconda/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":751
 * 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;

/* "../../anaconda/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":753
 * 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;

/* "../../anaconda/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":754
 * 
 * ctypedef npy_ulong      uint_t
 * ctypedef npy_ulonglong  ulong_t             # <<<<<<<<<<<<<<
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 */
typedef npy_ulonglong __pyx_t_5numpy_ulong_t;

/* "../../anaconda/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":755
 * 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;

/* "../../anaconda/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":757
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 * ctypedef npy_intp       intp_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uintp      uintp_t
 * 
 */
typedef npy_intp __pyx_t_5numpy_intp_t;

/* "../../anaconda/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":758
 * 
 * ctypedef npy_intp       intp_t
 * ctypedef npy_uintp      uintp_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_double     float_t
 */
typedef npy_uintp __pyx_t_5numpy_uintp_t;

/* "../../anaconda/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":760
 * 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;

/* "../../anaconda/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":761
 * 
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longdouble longdouble_t
 * 
 */
typedef npy_double __pyx_t_5numpy_double_t;

/* "../../anaconda/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":762
 * 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;

/* "base.pxd":6
 * cimport numpy
 * 
 * ctypedef numpy.npy_intp SIZE_t             # <<<<<<<<<<<<<<
 * 
 * 
 */
typedef npy_intp __pyx_t_11pomegranate_4base_SIZE_t;

/* "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_DOUBLE_t;

/* "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_SIZE_t;
#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

#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


/*--- 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_Distribution;
struct __pyx_obj_11pomegranate_13distributions_UniformDistribution;
struct __pyx_obj_11pomegranate_13distributions_BernoulliDistribution;
struct __pyx_obj_11pomegranate_13distributions_NormalDistribution;
struct __pyx_obj_11pomegranate_13distributions_LogNormalDistribution;
struct __pyx_obj_11pomegranate_13distributions_ExponentialDistribution;
struct __pyx_obj_11pomegranate_13distributions_BetaDistribution;
struct __pyx_obj_11pomegranate_13distributions_GammaDistribution;
struct __pyx_obj_11pomegranate_13distributions_DiscreteDistribution;
struct __pyx_obj_11pomegranate_13distributions_PoissonDistribution;
struct __pyx_obj_11pomegranate_13distributions_LambdaDistribution;
struct __pyx_obj_11pomegranate_13distributions_KernelDensity;
struct __pyx_obj_11pomegranate_13distributions_GaussianKernelDensity;
struct __pyx_obj_11pomegranate_13distributions_UniformKernelDensity;
struct __pyx_obj_11pomegranate_13distributions_TriangleKernelDensity;
struct __pyx_obj_11pomegranate_13distributions_MixtureDistribution;
struct __pyx_obj_11pomegranate_13distributions_MultivariateDistribution;
struct __pyx_obj_11pomegranate_13distributions_IndependentComponentsDistribution;
struct __pyx_obj_11pomegranate_13distributions_MultivariateGaussianDistribution;
struct __pyx_obj_11pomegranate_13distributions_DirichletDistribution;
struct __pyx_obj_11pomegranate_13distributions_ConditionalProbabilityTable;
struct __pyx_obj_11pomegranate_13distributions_JointProbabilityTable;
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_array_obj;
struct __pyx_MemviewEnum_obj;
struct __pyx_memoryview_obj;
struct __pyx_memoryviewslice_obj;

/* "../../anaconda/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":764
 * 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;

/* "../../anaconda/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":765
 * 
 * ctypedef npy_cfloat      cfloat_t
 * ctypedef npy_cdouble     cdouble_t             # <<<<<<<<<<<<<<
 * ctypedef npy_clongdouble clongdouble_t
 * 
 */
typedef npy_cdouble __pyx_t_5numpy_cdouble_t;

/* "../../anaconda/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":766
 * 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;

/* "../../anaconda/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":768
 * 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":1258
 *         return 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":9
 * 
 * 
 * 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":24
 * 
 * 
 * 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":30
 * 
 * 
 * cdef class State(object):             # <<<<<<<<<<<<<<
 * 	cdef public Model distribution
 * 	cdef public str name
 */
struct __pyx_obj_11pomegranate_4base_State {
  PyObject_HEAD
  struct __pyx_obj_11pomegranate_4base_Model *distribution;
  PyObject *name;
  double weight;
};


/* "distributions.pxd":11
 * ctypedef numpy.npy_intp SIZE_t
 * 
 * cdef class Distribution( Model ):             # <<<<<<<<<<<<<<
 * 	cdef public list summaries
 * 
 */
struct __pyx_obj_11pomegranate_13distributions_Distribution {
  struct __pyx_obj_11pomegranate_4base_Model __pyx_base;
  PyObject *summaries;
};


/* "distributions.pxd":14
 * 	cdef public list summaries
 * 
 * cdef class UniformDistribution( Distribution ):             # <<<<<<<<<<<<<<
 * 	cdef double start, end, logp
 * 
 */
struct __pyx_obj_11pomegranate_13distributions_UniformDistribution {
  struct __pyx_obj_11pomegranate_13distributions_Distribution __pyx_base;
  double start;
  double end;
  double logp;
};


/* "distributions.pxd":17
 * 	cdef double start, end, logp
 * 
 * cdef class BernoulliDistribution( Distribution ):             # <<<<<<<<<<<<<<
 * 	cdef double p
 * 	cdef double* logp
 */
struct __pyx_obj_11pomegranate_13distributions_BernoulliDistribution {
  struct __pyx_obj_11pomegranate_13distributions_Distribution __pyx_base;
  double p;
  double *logp;
};


/* "distributions.pxd":21
 * 	cdef double* logp
 * 
 * cdef class NormalDistribution( Distribution ):             # <<<<<<<<<<<<<<
 * 	cdef double mu, sigma, two_sigma_squared, log_sigma_sqrt_2_pi
 * 	cdef object min_std
 */
struct __pyx_obj_11pomegranate_13distributions_NormalDistribution {
  struct __pyx_obj_11pomegranate_13distributions_Distribution __pyx_base;
  double mu;
  double sigma;
  double two_sigma_squared;
  double log_sigma_sqrt_2_pi;
  PyObject *min_std;
};


/* "distributions.pxd":25
 * 	cdef object min_std
 * 
 * cdef class LogNormalDistribution( Distribution ):             # <<<<<<<<<<<<<<
 * 	cdef double mu, sigma
 * 
 */
struct __pyx_obj_11pomegranate_13distributions_LogNormalDistribution {
  struct __pyx_obj_11pomegranate_13distributions_Distribution __pyx_base;
  double mu;
  double sigma;
};


/* "distributions.pxd":28
 * 	cdef double mu, sigma
 * 
 * cdef class ExponentialDistribution( Distribution ):             # <<<<<<<<<<<<<<
 * 	cdef double rate, log_rate
 * 
 */
struct __pyx_obj_11pomegranate_13distributions_ExponentialDistribution {
  struct __pyx_obj_11pomegranate_13distributions_Distribution __pyx_base;
  double rate;
  double log_rate;
};


/* "distributions.pxd":31
 * 	cdef double rate, log_rate
 * 
 * cdef class BetaDistribution( Distribution ):             # <<<<<<<<<<<<<<
 * 	cdef double alpha, beta, beta_norm
 * 
 */
struct __pyx_obj_11pomegranate_13distributions_BetaDistribution {
  struct __pyx_obj_11pomegranate_13distributions_Distribution __pyx_base;
  double alpha;
  double beta;
  double beta_norm;
};


/* "distributions.pxd":34
 * 	cdef double alpha, beta, beta_norm
 * 
 * cdef class GammaDistribution( Distribution ):             # <<<<<<<<<<<<<<
 * 	cdef double alpha, beta
 * 
 */
struct __pyx_obj_11pomegranate_13distributions_GammaDistribution {
  struct __pyx_obj_11pomegranate_13distributions_Distribution __pyx_base;
  double alpha;
  double beta;
};


/* "distributions.pxd":37
 * 	cdef double alpha, beta
 * 
 * cdef class DiscreteDistribution( Distribution ):             # <<<<<<<<<<<<<<
 * 	cdef bint encoded_summary
 * 	cdef int n
 */
struct __pyx_obj_11pomegranate_13distributions_DiscreteDistribution {
  struct __pyx_obj_11pomegranate_13distributions_Distribution __pyx_base;
  int encoded_summary;
  int n;
  PyObject *dist;
  PyObject *log_dist;
  PyObject *encoded_keys;
  double *encoded_counts;
  double *encoded_log_probability;
};


/* "distributions.pxd":46
 * 	cdef double __log_probability( self, symbol )
 * 
 * cdef class PoissonDistribution( Distribution ):             # <<<<<<<<<<<<<<
 * 	cdef double l, logl
 * 
 */
struct __pyx_obj_11pomegranate_13distributions_PoissonDistribution {
  struct __pyx_obj_11pomegranate_13distributions_Distribution __pyx_base;
  double l;
  double logl;
};


/* "distributions.pxd":49
 * 	cdef double l, logl
 * 
 * cdef class LambdaDistribution( Distribution ):             # <<<<<<<<<<<<<<
 * 	pass
 * 
 */
struct __pyx_obj_11pomegranate_13distributions_LambdaDistribution {
  struct __pyx_obj_11pomegranate_13distributions_Distribution __pyx_base;
};


/* "distributions.pxd":52
 * 	pass
 * 
 * cdef class KernelDensity( Distribution ):             # <<<<<<<<<<<<<<
 * 	cdef numpy.ndarray points_ndarray, weights_ndarray
 * 	cdef double* points
 */
struct __pyx_obj_11pomegranate_13distributions_KernelDensity {
  struct __pyx_obj_11pomegranate_13distributions_Distribution __pyx_base;
  PyArrayObject *points_ndarray;
  PyArrayObject *weights_ndarray;
  double *points;
  double *weights;
  int n;
  double bandwidth;
};


/* "distributions.pxd":59
 * 	cdef double bandwidth
 * 
 * cdef class GaussianKernelDensity( KernelDensity ):             # <<<<<<<<<<<<<<
 * 	pass
 * 
 */
struct __pyx_obj_11pomegranate_13distributions_GaussianKernelDensity {
  struct __pyx_obj_11pomegranate_13distributions_KernelDensity __pyx_base;
};


/* "distributions.pxd":62
 * 	pass
 * 
 * cdef class UniformKernelDensity( KernelDensity ):             # <<<<<<<<<<<<<<
 * 	pass
 * 
 */
struct __pyx_obj_11pomegranate_13distributions_UniformKernelDensity {
  struct __pyx_obj_11pomegranate_13distributions_KernelDensity __pyx_base;
};


/* "distributions.pxd":65
 * 	pass
 * 
 * cdef class TriangleKernelDensity( KernelDensity ):             # <<<<<<<<<<<<<<
 * 	pass
 * 
 */
struct __pyx_obj_11pomegranate_13distributions_TriangleKernelDensity {
  struct __pyx_obj_11pomegranate_13distributions_KernelDensity __pyx_base;
};


/* "distributions.pxd":68
 * 	pass
 * 
 * cdef class MixtureDistribution( Distribution ):             # <<<<<<<<<<<<<<
 * 	cdef double* weights_p
 * 	cdef numpy.ndarray distributions, weights
 */
struct __pyx_obj_11pomegranate_13distributions_MixtureDistribution {
  struct __pyx_obj_11pomegranate_13distributions_Distribution __pyx_base;
  double *weights_p;
  PyArrayObject *distributions;
  PyArrayObject *weights;
  int n;
};


/* "distributions.pxd":73
 * 	cdef int n
 * 
 * cdef class MultivariateDistribution( Distribution ):             # <<<<<<<<<<<<<<
 * 	pass
 * 
 */
struct __pyx_obj_11pomegranate_13distributions_MultivariateDistribution {
  struct __pyx_obj_11pomegranate_13distributions_Distribution __pyx_base;
};


/* "distributions.pxd":76
 * 	pass
 * 
 * cdef class IndependentComponentsDistribution( MultivariateDistribution ):             # <<<<<<<<<<<<<<
 * 	cdef public numpy.ndarray distributions, weights
 * 	cdef int discrete
 */
struct __pyx_obj_11pomegranate_13distributions_IndependentComponentsDistribution {
  struct __pyx_obj_11pomegranate_13distributions_MultivariateDistribution __pyx_base;
  PyArrayObject *distributions;
  PyArrayObject *weights;
  int discrete;
  double *weights_ptr;
  void **distributions_ptr;
};


/* "distributions.pxd":82
 * 	cdef void** distributions_ptr
 * 
 * cdef class MultivariateGaussianDistribution( MultivariateDistribution ):             # <<<<<<<<<<<<<<
 * 	cdef public numpy.ndarray mu, cov, inv_cov
 * 	cdef double* _mu
 */
struct __pyx_obj_11pomegranate_13distributions_MultivariateGaussianDistribution {
  struct __pyx_obj_11pomegranate_13distributions_MultivariateDistribution __pyx_base;
  PyArrayObject *mu;
  PyArrayObject *cov;
  PyArrayObject *inv_cov;
  double *_mu;
  double *_mu_new;
  double *_cov;
  double _log_det;
  double w_sum;
  double *column_sum;
  double *pair_sum;
  double *chol_dot_mu;
  double *_inv_cov;
  double *_inv_dot_mu;
};


/* "distributions.pxd":95
 * 	cdef double* _inv_dot_mu
 * 
 * cdef class DirichletDistribution( MultivariateDistribution ):             # <<<<<<<<<<<<<<
 * 	cdef public numpy.ndarray alphas
 * 	cdef double* alphas_ptr
 */
struct __pyx_obj_11pomegranate_13distributions_DirichletDistribution {
  struct __pyx_obj_11pomegranate_13distributions_MultivariateDistribution __pyx_base;
  PyArrayObject *alphas;
  double *alphas_ptr;
  double beta_norm;
  PyArrayObject *summaries_ndarray;
  double *summaries_ptr;
};


/* "distributions.pxd":102
 * 	cdef double* summaries_ptr
 * 
 * cdef class ConditionalProbabilityTable( MultivariateDistribution ):             # <<<<<<<<<<<<<<
 * 	cdef double* values
 * 	cdef double* counts
 */
struct __pyx_obj_11pomegranate_13distributions_ConditionalProbabilityTable {
  struct __pyx_obj_11pomegranate_13distributions_MultivariateDistribution __pyx_base;
  double *values;
  double *counts;
  double *marginal_counts;
  int n;
  int k;
  int *idxs;
  int *marginal_idxs;
  PyObject *parents;
  PyObject *parameters;
  PyObject *keymap;
  PyObject *marginal_keymap;
  int m;
};


/* "distributions.pxd":115
 * 	cdef void __summarize( self, items, double [:] weights )
 * 
 * cdef class JointProbabilityTable( MultivariateDistribution ):             # <<<<<<<<<<<<<<
 * 	cdef double* values
 * 	cdef double* counts
 */
struct __pyx_obj_11pomegranate_13distributions_JointProbabilityTable {
  struct __pyx_obj_11pomegranate_13distributions_MultivariateDistribution __pyx_base;
  double *values;
  double *counts;
  double count;
  int n;
  int k;
  int *idxs;
  PyObject *parents;
  PyObject *parameters;
  PyObject *keymap;
  PyObject *marginal_keymap;
  int m;
};


/* "pomegranate/hmm.pyx":94
 *     return _log( value )
 * 
 * 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 *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;
  PyArrayObject *distributions;
  void **distributions_ptr;
};


/* "pomegranate/hmm.pyx":673
 *             networkx.draw()
 * 
 *     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":769
 * 
 *                 # 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.edge[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 *);
};


/* "View.MemoryView":101
 * 
 * @cname("__pyx_array")
 * cdef class array:             # <<<<<<<<<<<<<<
 * 
 *     cdef:
 */
struct __pyx_array_obj {
  PyObject_HEAD
  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":271
 * 
 * @cname('__pyx_MemviewEnum')
 * cdef class Enum(object):             # <<<<<<<<<<<<<<
 *     cdef object name
 *     def __init__(self, name):
 */
struct __pyx_MemviewEnum_obj {
  PyObject_HEAD
  PyObject *name;
};


/* "View.MemoryView":304
 * 
 * @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":923
 * 
 * @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":9
 * 
 * 
 * cdef class Model(object):             # <<<<<<<<<<<<<<
 * 	cdef public str name
 * 	cdef public int d
 */

struct __pyx_vtabstruct_11pomegranate_4base_Model {
  double (*_log_probability)(struct __pyx_obj_11pomegranate_4base_Model *, double);
  double (*_mv_log_probability)(struct __pyx_obj_11pomegranate_4base_Model *, double *);
  double (*_vl_log_probability)(struct __pyx_obj_11pomegranate_4base_Model *, double *, int);
  void (*_v_log_probability)(struct __pyx_obj_11pomegranate_4base_Model *, double *, double *, int);
  double (*_summarize)(struct __pyx_obj_11pomegranate_4base_Model *, double *, double *, __pyx_t_11pomegranate_4base_SIZE_t);
};
static struct __pyx_vtabstruct_11pomegranate_4base_Model *__pyx_vtabptr_11pomegranate_4base_Model;


/* "base.pxd":24
 * 
 * 
 * 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.pxd":11
 * ctypedef numpy.npy_intp SIZE_t
 * 
 * cdef class Distribution( Model ):             # <<<<<<<<<<<<<<
 * 	cdef public list summaries
 * 
 */

struct __pyx_vtabstruct_11pomegranate_13distributions_Distribution {
  struct __pyx_vtabstruct_11pomegranate_4base_Model __pyx_base;
};
static struct __pyx_vtabstruct_11pomegranate_13distributions_Distribution *__pyx_vtabptr_11pomegranate_13distributions_Distribution;


/* "distributions.pxd":14
 * 	cdef public list summaries
 * 
 * cdef class UniformDistribution( Distribution ):             # <<<<<<<<<<<<<<
 * 	cdef double start, end, logp
 * 
 */

struct __pyx_vtabstruct_11pomegranate_13distributions_UniformDistribution {
  struct __pyx_vtabstruct_11pomegranate_13distributions_Distribution __pyx_base;
};
static struct __pyx_vtabstruct_11pomegranate_13distributions_UniformDistribution *__pyx_vtabptr_11pomegranate_13distributions_UniformDistribution;


/* "distributions.pxd":17
 * 	cdef double start, end, logp
 * 
 * cdef class BernoulliDistribution( Distribution ):             # <<<<<<<<<<<<<<
 * 	cdef double p
 * 	cdef double* logp
 */

struct __pyx_vtabstruct_11pomegranate_13distributions_BernoulliDistribution {
  struct __pyx_vtabstruct_11pomegranate_13distributions_Distribution __pyx_base;
};
static struct __pyx_vtabstruct_11pomegranate_13distributions_BernoulliDistribution *__pyx_vtabptr_11pomegranate_13distributions_BernoulliDistribution;


/* "distributions.pxd":21
 * 	cdef double* logp
 * 
 * cdef class NormalDistribution( Distribution ):             # <<<<<<<<<<<<<<
 * 	cdef double mu, sigma, two_sigma_squared, log_sigma_sqrt_2_pi
 * 	cdef object min_std
 */

struct __pyx_vtabstruct_11pomegranate_13distributions_NormalDistribution {
  struct __pyx_vtabstruct_11pomegranate_13distributions_Distribution __pyx_base;
};
static struct __pyx_vtabstruct_11pomegranate_13distributions_NormalDistribution *__pyx_vtabptr_11pomegranate_13distributions_NormalDistribution;


/* "distributions.pxd":25
 * 	cdef object min_std
 * 
 * cdef class LogNormalDistribution( Distribution ):             # <<<<<<<<<<<<<<
 * 	cdef double mu, sigma
 * 
 */

struct __pyx_vtabstruct_11pomegranate_13distributions_LogNormalDistribution {
  struct __pyx_vtabstruct_11pomegranate_13distributions_Distribution __pyx_base;
};
static struct __pyx_vtabstruct_11pomegranate_13distributions_LogNormalDistribution *__pyx_vtabptr_11pomegranate_13distributions_LogNormalDistribution;


/* "distributions.pxd":28
 * 	cdef double mu, sigma
 * 
 * cdef class ExponentialDistribution( Distribution ):             # <<<<<<<<<<<<<<
 * 	cdef double rate, log_rate
 * 
 */

struct __pyx_vtabstruct_11pomegranate_13distributions_ExponentialDistribution {
  struct __pyx_vtabstruct_11pomegranate_13distributions_Distribution __pyx_base;
};
static struct __pyx_vtabstruct_11pomegranate_13distributions_ExponentialDistribution *__pyx_vtabptr_11pomegranate_13distributions_ExponentialDistribution;


/* "distributions.pxd":31
 * 	cdef double rate, log_rate
 * 
 * cdef class BetaDistribution( Distribution ):             # <<<<<<<<<<<<<<
 * 	cdef double alpha, beta, beta_norm
 * 
 */

struct __pyx_vtabstruct_11pomegranate_13distributions_BetaDistribution {
  struct __pyx_vtabstruct_11pomegranate_13distributions_Distribution __pyx_base;
};
static struct __pyx_vtabstruct_11pomegranate_13distributions_BetaDistribution *__pyx_vtabptr_11pomegranate_13distributions_BetaDistribution;


/* "distributions.pxd":34
 * 	cdef double alpha, beta, beta_norm
 * 
 * cdef class GammaDistribution( Distribution ):             # <<<<<<<<<<<<<<
 * 	cdef double alpha, beta
 * 
 */

struct __pyx_vtabstruct_11pomegranate_13distributions_GammaDistribution {
  struct __pyx_vtabstruct_11pomegranate_13distributions_Distribution __pyx_base;
};
static struct __pyx_vtabstruct_11pomegranate_13distributions_GammaDistribution *__pyx_vtabptr_11pomegranate_13distributions_GammaDistribution;


/* "distributions.pxd":37
 * 	cdef double alpha, beta
 * 
 * cdef class DiscreteDistribution( Distribution ):             # <<<<<<<<<<<<<<
 * 	cdef bint encoded_summary
 * 	cdef int n
 */

struct __pyx_vtabstruct_11pomegranate_13distributions_DiscreteDistribution {
  struct __pyx_vtabstruct_11pomegranate_13distributions_Distribution __pyx_base;
  double (*__pyx___log_probability)(struct __pyx_obj_11pomegranate_13distributions_DiscreteDistribution *, PyObject *);
};
static struct __pyx_vtabstruct_11pomegranate_13distributions_DiscreteDistribution *__pyx_vtabptr_11pomegranate_13distributions_DiscreteDistribution;


/* "distributions.pxd":46
 * 	cdef double __log_probability( self, symbol )
 * 
 * cdef class PoissonDistribution( Distribution ):             # <<<<<<<<<<<<<<
 * 	cdef double l, logl
 * 
 */

struct __pyx_vtabstruct_11pomegranate_13distributions_PoissonDistribution {
  struct __pyx_vtabstruct_11pomegranate_13distributions_Distribution __pyx_base;
};
static struct __pyx_vtabstruct_11pomegranate_13distributions_PoissonDistribution *__pyx_vtabptr_11pomegranate_13distributions_PoissonDistribution;


/* "distributions.pxd":49
 * 	cdef double l, logl
 * 
 * cdef class LambdaDistribution( Distribution ):             # <<<<<<<<<<<<<<
 * 	pass
 * 
 */

struct __pyx_vtabstruct_11pomegranate_13distributions_LambdaDistribution {
  struct __pyx_vtabstruct_11pomegranate_13distributions_Distribution __pyx_base;
};
static struct __pyx_vtabstruct_11pomegranate_13distributions_LambdaDistribution *__pyx_vtabptr_11pomegranate_13distributions_LambdaDistribution;


/* "distributions.pxd":52
 * 	pass
 * 
 * cdef class KernelDensity( Distribution ):             # <<<<<<<<<<<<<<
 * 	cdef numpy.ndarray points_ndarray, weights_ndarray
 * 	cdef double* points
 */

struct __pyx_vtabstruct_11pomegranate_13distributions_KernelDensity {
  struct __pyx_vtabstruct_11pomegranate_13distributions_Distribution __pyx_base;
};
static struct __pyx_vtabstruct_11pomegranate_13distributions_KernelDensity *__pyx_vtabptr_11pomegranate_13distributions_KernelDensity;


/* "distributions.pxd":59
 * 	cdef double bandwidth
 * 
 * cdef class GaussianKernelDensity( KernelDensity ):             # <<<<<<<<<<<<<<
 * 	pass
 * 
 */

struct __pyx_vtabstruct_11pomegranate_13distributions_GaussianKernelDensity {
  struct __pyx_vtabstruct_11pomegranate_13distributions_KernelDensity __pyx_base;
};
static struct __pyx_vtabstruct_11pomegranate_13distributions_GaussianKernelDensity *__pyx_vtabptr_11pomegranate_13distributions_GaussianKernelDensity;


/* "distributions.pxd":62
 * 	pass
 * 
 * cdef class UniformKernelDensity( KernelDensity ):             # <<<<<<<<<<<<<<
 * 	pass
 * 
 */

struct __pyx_vtabstruct_11pomegranate_13distributions_UniformKernelDensity {
  struct __pyx_vtabstruct_11pomegranate_13distributions_KernelDensity __pyx_base;
};
static struct __pyx_vtabstruct_11pomegranate_13distributions_UniformKernelDensity *__pyx_vtabptr_11pomegranate_13distributions_UniformKernelDensity;


/* "distributions.pxd":65
 * 	pass
 * 
 * cdef class TriangleKernelDensity( KernelDensity ):             # <<<<<<<<<<<<<<
 * 	pass
 * 
 */

struct __pyx_vtabstruct_11pomegranate_13distributions_TriangleKernelDensity {
  struct __pyx_vtabstruct_11pomegranate_13distributions_KernelDensity __pyx_base;
};
static struct __pyx_vtabstruct_11pomegranate_13distributions_TriangleKernelDensity *__pyx_vtabptr_11pomegranate_13distributions_TriangleKernelDensity;


/* "distributions.pxd":68
 * 	pass
 * 
 * cdef class MixtureDistribution( Distribution ):             # <<<<<<<<<<<<<<
 * 	cdef double* weights_p
 * 	cdef numpy.ndarray distributions, weights
 */

struct __pyx_vtabstruct_11pomegranate_13distributions_MixtureDistribution {
  struct __pyx_vtabstruct_11pomegranate_13distributions_Distribution __pyx_base;
};
static struct __pyx_vtabstruct_11pomegranate_13distributions_MixtureDistribution *__pyx_vtabptr_11pomegranate_13distributions_MixtureDistribution;


/* "distributions.pxd":73
 * 	cdef int n
 * 
 * cdef class MultivariateDistribution( Distribution ):             # <<<<<<<<<<<<<<
 * 	pass
 * 
 */

struct __pyx_vtabstruct_11pomegranate_13distributions_MultivariateDistribution {
  struct __pyx_vtabstruct_11pomegranate_13distributions_Distribution __pyx_base;
};
static struct __pyx_vtabstruct_11pomegranate_13distributions_MultivariateDistribution *__pyx_vtabptr_11pomegranate_13distributions_MultivariateDistribution;


/* "distributions.pxd":76
 * 	pass
 * 
 * cdef class IndependentComponentsDistribution( MultivariateDistribution ):             # <<<<<<<<<<<<<<
 * 	cdef public numpy.ndarray distributions, weights
 * 	cdef int discrete
 */

struct __pyx_vtabstruct_11pomegranate_13distributions_IndependentComponentsDistribution {
  struct __pyx_vtabstruct_11pomegranate_13distributions_MultivariateDistribution __pyx_base;
};
static struct __pyx_vtabstruct_11pomegranate_13distributions_IndependentComponentsDistribution *__pyx_vtabptr_11pomegranate_13distributions_IndependentComponentsDistribution;


/* "distributions.pxd":82
 * 	cdef void** distributions_ptr
 * 
 * cdef class MultivariateGaussianDistribution( MultivariateDistribution ):             # <<<<<<<<<<<<<<
 * 	cdef public numpy.ndarray mu, cov, inv_cov
 * 	cdef double* _mu
 */

struct __pyx_vtabstruct_11pomegranate_13distributions_MultivariateGaussianDistribution {
  struct __pyx_vtabstruct_11pomegranate_13distributions_MultivariateDistribution __pyx_base;
};
static struct __pyx_vtabstruct_11pomegranate_13distributions_MultivariateGaussianDistribution *__pyx_vtabptr_11pomegranate_13distributions_MultivariateGaussianDistribution;


/* "distributions.pxd":95
 * 	cdef double* _inv_dot_mu
 * 
 * cdef class DirichletDistribution( MultivariateDistribution ):             # <<<<<<<<<<<<<<
 * 	cdef public numpy.ndarray alphas
 * 	cdef double* alphas_ptr
 */

struct __pyx_vtabstruct_11pomegranate_13distributions_DirichletDistribution {
  struct __pyx_vtabstruct_11pomegranate_13distributions_MultivariateDistribution __pyx_base;
};
static struct __pyx_vtabstruct_11pomegranate_13distributions_DirichletDistribution *__pyx_vtabptr_11pomegranate_13distributions_DirichletDistribution;


/* "distributions.pxd":102
 * 	cdef double* summaries_ptr
 * 
 * cdef class ConditionalProbabilityTable( MultivariateDistribution ):             # <<<<<<<<<<<<<<
 * 	cdef double* values
 * 	cdef double* counts
 */

struct __pyx_vtabstruct_11pomegranate_13distributions_ConditionalProbabilityTable {
  struct __pyx_vtabstruct_11pomegranate_13distributions_MultivariateDistribution __pyx_base;
  void (*__pyx___summarize)(struct __pyx_obj_11pomegranate_13distributions_ConditionalProbabilityTable *, PyObject *, __Pyx_memviewslice);
};
static struct __pyx_vtabstruct_11pomegranate_13distributions_ConditionalProbabilityTable *__pyx_vtabptr_11pomegranate_13distributions_ConditionalProbabilityTable;


/* "distributions.pxd":115
 * 	cdef void __summarize( self, items, double [:] weights )
 * 
 * cdef class JointProbabilityTable( MultivariateDistribution ):             # <<<<<<<<<<<<<<
 * 	cdef double* values
 * 	cdef double* counts
 */

struct __pyx_vtabstruct_11pomegranate_13distributions_JointProbabilityTable {
  struct __pyx_vtabstruct_11pomegranate_13distributions_MultivariateDistribution __pyx_base;
  void (*__pyx___summarize)(struct __pyx_obj_11pomegranate_13distributions_JointProbabilityTable *, PyObject *, __Pyx_memviewslice);
};
static struct __pyx_vtabstruct_11pomegranate_13distributions_JointProbabilityTable *__pyx_vtabptr_11pomegranate_13distributions_JointProbabilityTable;


/* "pomegranate/hmm.pyx":94
 *     return _log( value )
 * 
 * cdef class HiddenMarkovModel( GraphModel ):             # <<<<<<<<<<<<<<
 *     """A Hidden Markov Model
 * 
 */

struct __pyx_vtabstruct_11pomegranate_3hmm_HiddenMarkovModel {
  struct __pyx_vtabstruct_11pomegranate_4base_GraphModel __pyx_base;
  PyObject *(*_sample)(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *, int, int);
  double (*log_probability)(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *, PyObject *, int __pyx_skip_dispatch, struct __pyx_opt_args_11pomegranate_3hmm_17HiddenMarkovModel_log_probability *__pyx_optional_args);
  PyArrayObject *(*forward)(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *, PyObject *, int __pyx_skip_dispatch);
  double *(*_forward)(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *, double *, int, double *);
  PyArrayObject *(*backward)(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *, PyObject *, int __pyx_skip_dispatch);
  double *(*_backward)(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *, double *, int, double *);
  PyObject *(*_forward_backward)(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *, double *, int);
  PyObject *(*viterbi)(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *, PyObject *, int __pyx_skip_dispatch);
  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);
};
static struct __pyx_vtabstruct_11pomegranate_3hmm_HiddenMarkovModel *__pyx_vtabptr_11pomegranate_3hmm_HiddenMarkovModel;


/* "View.MemoryView":304
 * 
 * @cname('__pyx_memoryview')
 * cdef class memoryview(object):             # <<<<<<<<<<<<<<
 * 
 *     cdef object obj
 */

struct __pyx_vtabstruct_memoryview {
  char *(*get_item_pointer)(struct __pyx_memoryview_obj *, PyObject *);
  PyObject *(*is_slice)(struct __pyx_memoryview_obj *, PyObject *);
  PyObject *(*setitem_slice_assignment)(struct __pyx_memoryview_obj *, PyObject *, PyObject *);
  PyObject *(*setitem_slice_assign_scalar)(struct __pyx_memoryview_obj *, struct __pyx_memoryview_obj *, PyObject *);
  PyObject *(*setitem_indexed)(struct __pyx_memoryview_obj *, PyObject *, PyObject *);
  PyObject *(*convert_item_to_object)(struct __pyx_memoryview_obj *, char *);
  PyObject *(*assign_item_from_object)(struct __pyx_memoryview_obj *, char *, PyObject *);
};
static struct __pyx_vtabstruct_memoryview *__pyx_vtabptr_memoryview;


/* "View.MemoryView":923
 * 
 * @cname('__pyx_memoryviewslice')
 * cdef class _memoryviewslice(memoryview):             # <<<<<<<<<<<<<<
 *     "Internal class for passing memoryview slices to Python"
 * 
 */

struct __pyx_vtabstruct__memoryviewslice {
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};
static struct __pyx_vtabstruct__memoryviewslice *__pyx_vtabptr__memoryviewslice;

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static PyObject *__pyx_memoryview_get_itemsize(PyObject *__pyx_v_self); /*proto*/
static PyObject *__pyx_memoryview_get_nbytes(PyObject *__pyx_v_self); /*proto*/
static PyObject *__pyx_memoryview_get_size(PyObject *__pyx_v_self); /*proto*/
static PyObject *__pyx_memoryviewslice__get__base(PyObject *__pyx_v_self); /*proto*/
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static int __Pyx_call_next_tp_traverse(PyObject* obj, visitproc v, void *a, traverseproc current_tp_traverse);

static void __Pyx_call_next_tp_clear(PyObject* obj, inquiry current_tp_dealloc);

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static int __Pyx_InitStrings(__Pyx_StringTabEntry *t);

static PyObject *__pyx_f_11pomegranate_3hmm_17HiddenMarkovModel__sample(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, int __pyx_v_length, int __pyx_v_path); /* 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); /* 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 char *__pyx_memoryview_get_item_pointer(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index); /* proto*/
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static PyObject *__pyx_memoryview_setitem_slice_assignment(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_dst, PyObject *__pyx_v_src); /* proto*/
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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*/

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

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/* Module declarations from 'pomegranate.base' */
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/* Module declarations from 'pomegranate.utils' */
static double (*__pyx_f_11pomegranate_5utils__log)(double); /*proto*/
static double (*__pyx_f_11pomegranate_5utils_pair_lse)(double, double); /*proto*/

/* Module declarations from 'pomegranate.hmm' */
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static PyTypeObject *__pyx_ptype_11pomegranate_3hmm___pyx_scope_struct__bake = 0;
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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 __Pyx_TypeInfo __Pyx_TypeInfo_double = { "double", NULL, sizeof(double), { 0 }, 0, 'R', 0, 0 };
#define __Pyx_MODULE_NAME "pomegranate.hmm"
int __pyx_module_is_main_pomegranate__hmm = 0;

/* Implementation of 'pomegranate.hmm' */
static PyObject *__pyx_builtin_range;
static PyObject *__pyx_builtin_zip;
static PyObject *__pyx_builtin_ImportError;
static PyObject *__pyx_builtin_ValueError;
static PyObject *__pyx_builtin_KeyError;
static PyObject *__pyx_builtin_id;
static PyObject *__pyx_builtin_enumerate;
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_SyntaxError;
static PyObject *__pyx_builtin_open;
static PyObject *__pyx_builtin_IOError;
static PyObject *__pyx_builtin_RuntimeError;
static PyObject *__pyx_builtin_MemoryError;
static PyObject *__pyx_builtin_Ellipsis;
static PyObject *__pyx_builtin_TypeError;
static PyObject *__pyx_builtin_IndexError;
static char __pyx_k_B[] = "B";
static char __pyx_k_H[] = "H";
static char __pyx_k_I[] = "I";
static char __pyx_k_L[] = "L";
static char __pyx_k_O[] = "O";
static char __pyx_k_Q[] = "Q";
static char __pyx_k_a[] = "a";
static char __pyx_k_b[] = "b";
static char __pyx_k_c[] = "c";
static char __pyx_k_d[] = "d";
static char __pyx_k_e[] = "e";
static char __pyx_k_f[] = "f";
static char __pyx_k_g[] = "g";
static char __pyx_k_h[] = "h";
static char __pyx_k_i[] = "i";
static char __pyx_k_j[] = "j";
static char __pyx_k_l[] = "l";
static char __pyx_k_n[] = "n";
static char __pyx_k_q[] = "q";
static char __pyx_k_r[] = "r";
static char __pyx_k_s[] = "s";
static char __pyx_k_Zd[] = "Zd";
static char __pyx_k_Zf[] = "Zf";
static char __pyx_k_Zg[] = "Zg";
static char __pyx_k__3[] = "";
static char __pyx_k__4[] = "{}{}{}";
static char __pyx_k_id[] = "id";
static char __pyx_k_it[] = "it";
static char __pyx_k_All[] = "All";
static char __pyx_k__33[] = ",";
static char __pyx_k__34[] = " : ";
static char __pyx_k__57[] = "*";
static char __pyx_k_add[] = "add";
static char __pyx_k_all[] = "all";
static char __pyx_k_dot[] = "dot";
static char __pyx_k_end[] = "end";
static char __pyx_k_exp[] = "exp";
static char __pyx_k_get[] = "get";
static char __pyx_k_key[] = "key";
static char __pyx_k_len[] = "len";
static char __pyx_k_log[] = "log";
static char __pyx_k_map[] = "map";
static char __pyx_k_obj[] = "obj";
static char __pyx_k_off[] = "off";
static char __pyx_k_plt[] = "plt";
static char __pyx_k_png[] = "png";
static char __pyx_k_red[] = "red";
static char __pyx_k_s_2[] = "s{}";
static char __pyx_k_sum[] = "sum";
static char __pyx_k_sys[] = "sys";
static char __pyx_k_tie[] = "tie";
static char __pyx_k_zip[] = "zip";
static char __pyx_k_Loop[] = "Loop: {} - {}";
static char __pyx_k_args[] = "args";
static char __pyx_k_axis[] = "axis";
static char __pyx_k_bake[] = "bake";
static char __pyx_k_base[] = "base";
static char __pyx_k_blue[] = "blue";
static char __pyx_k_data[] = "data";
static char __pyx_k_draw[] = "draw";
static char __pyx_k_edge[] = "edge";
static char __pyx_k_ends[] = "ends";
static char __pyx_k_exit[] = "__exit__";
static char __pyx_k_grey[] = "grey";
static char __pyx_k_izip[] = "izip";
static char __pyx_k_json[] = "json";
static char __pyx_k_keys[] = "keys";
static char __pyx_k_load[] = "load";
static char __pyx_k_main[] = "__main__";
static char __pyx_k_math[] = "math";
static char __pyx_k_mode[] = "mode";
static char __pyx_k_name[] = "name";
static char __pyx_k_ndim[] = "ndim";
static char __pyx_k_ones[] = "ones";
static char __pyx_k_open[] = "open";
static char __pyx_k_pack[] = "pack";
static char __pyx_k_path[] = "path";
static char __pyx_k_prog[] = "prog";
static char __pyx_k_seed[] = "seed";
static char __pyx_k_send[] = "send";
static char __pyx_k_size[] = "size";
static char __pyx_k_step[] = "step";
static char __pyx_k_stop[] = "stop";
static char __pyx_k_test[] = "__test__";
static char __pyx_k_thaw[] = "thaw";
static char __pyx_k_warn[] = "warn";
static char __pyx_k_ASCII[] = "ASCII";
static char __pyx_k_array[] = "array";
static char __pyx_k_class[] = "class";
static char __pyx_k_close[] = "close";
static char __pyx_k_color[] = "color";
static char __pyx_k_dtype[] = "dtype";
static char __pyx_k_dumps[] = "dumps";
static char __pyx_k_edges[] = "edges";
static char __pyx_k_empty[] = "empty";
static char __pyx_k_end_2[] = "-end";
static char __pyx_k_enter[] = "__enter__";
static char __pyx_k_error[] = "error";
static char __pyx_k_flags[] = "flags";
static char __pyx_k_graph[] = "graph";
static char __pyx_k_group[] = "group";
static char __pyx_k_image[] = "image";
static char __pyx_k_index[] = "index";
static char __pyx_k_int32[] = "int32";
static char __pyx_k_items[] = "items";
static char __pyx_k_label[] = "label";
static char __pyx_k_loads[] = "loads";
static char __pyx_k_lower[] = "lower";
static char __pyx_k_merge[] = "merge";
static char __pyx_k_model[] = "model";
static char __pyx_k_nodes[] = "nodes";
static char __pyx_k_numpy[] = "numpy";
static char __pyx_k_other[] = "other";
static char __pyx_k_print[] = "print";
static char __pyx_k_range[] = "range";
static char __pyx_k_round[] = "round";
static char __pyx_k_shape[] = "shape";
static char __pyx_k_start[] = "start";
static char __pyx_k_throw[] = "throw";
static char __pyx_k_union[] = "union";
static char __pyx_k_value[] = "value";
static char __pyx_k_zeros[] = "zeros";
static char __pyx_k_AGraph[] = "AGraph";
static char __pyx_k_append[] = "append";
static char __pyx_k_encode[] = "encode";
static char __pyx_k_extend[] = "extend";
static char __pyx_k_format[] = "format";
static char __pyx_k_freeze[] = "freeze";
static char __pyx_k_frozen[] = "frozen";
static char __pyx_k_groups[] = "groups";
static char __pyx_k_import[] = "__import__";
static char __pyx_k_imread[] = "imread";
static char __pyx_k_imshow[] = "imshow";
static char __pyx_k_indent[] = "indent";
static char __pyx_k_joblib[] = "joblib";
static char __pyx_k_keymap[] = "keymap";
static char __pyx_k_labels[] = "labels";
static char __pyx_k_length[] = "length";
static char __pyx_k_merged[] = "{} : {} - {} merged";
static char __pyx_k_n_jobs[] = "n_jobs";
static char __pyx_k_name_2[] = "__name__";
static char __pyx_k_nbunch[] = "nbunch";
static char __pyx_k_object[] = "object";
static char __pyx_k_prefix[] = "prefix";
static char __pyx_k_random[] = "random";
static char __pyx_k_sample[] = "sample";
static char __pyx_k_sorted[] = "sorted";
static char __pyx_k_starts[] = "starts";
static char __pyx_k_states[] = "states";
static char __pyx_k_struct[] = "struct";
static char __pyx_k_suffix[] = "suffix";
static char __pyx_k_unpack[] = "unpack";
static char __pyx_k_values[] = "values";
static char __pyx_k_weight[] = "weight";
static char __pyx_k_xrange[] = "xrange";
static char __pyx_k_DiGraph[] = "DiGraph";
static char __pyx_k_IOError[] = "IOError";
static char __pyx_k_backend[] = "backend";
static char __pyx_k_class_2[] = "__class__";
static char __pyx_k_delayed[] = "delayed";
static char __pyx_k_float64[] = "float64";
static char __pyx_k_fortran[] = "fortran";
static char __pyx_k_forward[] = "forward";
static char __pyx_k_genexpr[] = "genexpr";
static char __pyx_k_inertia[] = "inertia";
static char __pyx_k_labeled[] = "labeled";
static char __pyx_k_memview[] = "memview";
static char __pyx_k_partial[] = "partial";
static char __pyx_k_start_2[] = "-start";
static char __pyx_k_to_json[] = "to_json";
static char __pyx_k_uniform[] = "uniform";
static char __pyx_k_verbose[] = "verbose";
static char __pyx_k_viterbi[] = "viterbi";
static char __pyx_k_weights[] = "weights";
static char __pyx_k_Ellipsis[] = "Ellipsis";
static char __pyx_k_KeyError[] = "KeyError";
static char __pyx_k_Parallel[] = "Parallel";
static char __pyx_k_add_edge[] = "add_edge";
static char __pyx_k_add_node[] = "add_node";
static char __pyx_k_backward[] = "backward";
static char __pyx_k_directed[] = "directed";
static char __pyx_k_discrete[] = "discrete";
static char __pyx_k_getstate[] = "__getstate__";
static char __pyx_k_itemsize[] = "itemsize";
static char __pyx_k_networkx[] = "networkx";
static char __pyx_k_operator[] = "operator";
static char __pyx_k_parallel[] = "parallel";
static char __pyx_k_sequence[] = "sequence";
static char __pyx_k_subgraph[] = "subgraph";
static char __pyx_k_tempfile[] = "tempfile";
static char __pyx_k_warnings[] = "warnings";
static char __pyx_k_TypeError[] = "TypeError";
static char __pyx_k_add_state[] = "add_state";
static char __pyx_k_algorithm[] = "algorithm";
static char __pyx_k_end_index[] = "end_index";
static char __pyx_k_enumerate[] = "enumerate";
static char __pyx_k_from_json[] = "from_json";
static char __pyx_k_is_silent[] = "is_silent";
static char __pyx_k_itertools[] = "itertools";
static char __pyx_k_precision[] = "precision";
static char __pyx_k_sequences[] = "sequences";
static char __pyx_k_summarize[] = "summarize";
static char __pyx_k_threading[] = "threading";
static char __pyx_k_to_return[] = "to_return";
static char __pyx_k_IndexError[] = "IndexError";
static char __pyx_k_ValueError[] = "ValueError";
static char __pyx_k_add_states[] = "add_states";
static char __pyx_k_attrgetter[] = "attrgetter";
static char __pyx_k_baum_welch[] = "baum-welch";
static char __pyx_k_edges_iter[] = "edges_iter";
static char __pyx_k_matplotlib[] = "matplotlib";
static char __pyx_k_pygraphviz[] = "pygraphviz";
static char __pyx_k_pyx_vtable[] = "__pyx_vtable__";
static char __pyx_k_separators[] = "separators";
static char __pyx_k_ImportError[] = "ImportError";
static char __pyx_k_MemoryError[] = "MemoryError";
static char __pyx_k_SyntaxError[] = "SyntaxError";
static char __pyx_k_check_input[] = "_check_input";
static char __pyx_k_from_matrix[] = "from_matrix";
static char __pyx_k_probability[] = "probability";
static char __pyx_k_pseudocount[] = "pseudocount";
static char __pyx_k_remove_edge[] = "remove_edge";
static char __pyx_k_remove_node[] = "remove_node";
static char __pyx_k_start_index[] = "start_index";
static char __pyx_k_state_names[] = "state_names";
static char __pyx_k_RuntimeError[] = "RuntimeError";
static char __pyx_k_check_pickle[] = "check_pickle";
static char __pyx_k_distribution[] = "distribution";
static char __pyx_k_edge_inertia[] = "edge_inertia";
static char __pyx_k_multivariate[] = "multivariate";
static char __pyx_k_pseudocounts[] = "pseudocounts";
static char __pyx_k_silent_index[] = "silent_index";
static char __pyx_k_version_info[] = "version_info";
static char __pyx_k_check_input_2[] = "check_input";
static char __pyx_k_distributions[] = "distributions";
static char __pyx_k_label_ndarray[] = "label_ndarray";
static char __pyx_k_probabilities[] = "probabilities";
static char __pyx_k_pyx_getbuffer[] = "__pyx_getbuffer";
static char __pyx_k_add_transition[] = "add_transition";
static char __pyx_k_from_summaries[] = "from_summaries";
static char __pyx_k_max_iterations[] = "max_iterations";
static char __pyx_k_min_iterations[] = "min_iterations";
static char __pyx_k_stop_threshold[] = "stop_threshold";
static char __pyx_k_allocate_buffer[] = "allocate_buffer";
static char __pyx_k_clear_summaries[] = "clear_summaries";
static char __pyx_k_dtype_is_object[] = "dtype_is_object";
static char __pyx_k_log_probability[] = "log_probability";
static char __pyx_k_pomegranate_hmm[] = "pomegranate.hmm";
static char __pyx_k_use_pseudocount[] = "use_pseudocount";
static char __pyx_k_matplotlib_image[] = "matplotlib.image";
static char __pyx_k_sequence_ndarray[] = "sequence_ndarray";
static char __pyx_k_topological_sort[] = "topological_sort";
static char __pyx_k_HiddenMarkovModel[] = "HiddenMarkovModel";
static char __pyx_k_distribution_ties[] = "distribution ties";
static char __pyx_k_free_bake_buffers[] = "free_bake_buffers";
static char __pyx_k_labeled_summarize[] = "_labeled_summarize";
static char __pyx_k_matplotlib_pyplot[] = "matplotlib.pyplot";
static char __pyx_k_predict_log_proba[] = "predict_log_proba";
static char __pyx_k_viterbi_summarize[] = "_viterbi_summarize";
static char __pyx_k_NamedTemporaryFile[] = "NamedTemporaryFile";
static char __pyx_k_strided_and_direct[] = "<strided and direct>";
static char __pyx_k_bake_locals_genexpr[] = "bake.<locals>.genexpr";
static char __pyx_k_Training_improvement[] = "Training improvement: {}";
static char __pyx_k_baum_welch_summarize[] = "_baum_welch_summarize";
static char __pyx_k_distribution_inertia[] = "distribution_inertia";
static char __pyx_k_emission_pseudocount[] = "emission_pseudocount";
static char __pyx_k_maximum_a_posteriori[] = "maximum_a_posteriori";
static char __pyx_k_strided_and_indirect[] = "<strided and indirect>";
static char __pyx_k_contiguous_and_direct[] = "<contiguous and direct>";
static char __pyx_k_MemoryView_of_r_object[] = "<MemoryView of %r object>";
static char __pyx_k_transition_pseudocount[] = "transition_pseudocount";
static char __pyx_k_MemoryView_of_r_at_0x_x[] = "<MemoryView of %r at 0x%x>";
static char __pyx_k_contiguous_and_indirect[] = "<contiguous and indirect>";
static char __pyx_k_Cannot_index_with_type_s[] = "Cannot index with type '%s'";
static char __pyx_k_getbuffer_obj_view_flags[] = "getbuffer(obj, view, flags)";
static char __pyx_k_transition_probabilities[] = "transition_probabilities";
static char __pyx_k_Dimension_d_is_not_direct[] = "Dimension %d is not direct";
static char __pyx_k_Invalid_shape_in_axis_d_d[] = "Invalid shape in axis %d: %d.";
static char __pyx_k_Index_out_of_bounds_axis_d[] = "Index out of bounds (axis %d)";
static char __pyx_k_Total_Training_Improvement[] = "Total Training Improvement: {}";
static char __pyx_k_depricated_Please_use_plot[] = "depricated. Please use .plot";
static char __pyx_k_Step_may_not_be_zero_axis_d[] = "Step may not be zero (axis %d)";
static char __pyx_k_itemsize_0_for_cython_array[] = "itemsize <= 0 for cython.array";
static char __pyx_k_ndarray_is_not_C_contiguous[] = "ndarray is not C contiguous";
static char __pyx_k_summed_to_normalized_to_1_0[] = "{} : {} summed to {}, normalized to 1.0";
static char __pyx_k_unable_to_allocate_array_data[] = "unable to allocate array data.";
static char __pyx_k_Warning_Sequence_is_impossible[] = "Warning: Sequence is impossible.";
static char __pyx_k_mis_matching_inputs_for_states[] = "mis-matching inputs for states";
static char __pyx_k_must_bake_model_before_fitting[] = "must bake model before fitting";
static char __pyx_k_strided_and_direct_or_indirect[] = "<strided and direct or indirect>";
static char __pyx_k_home_jmschr_Desktop_pomegranate[] = "/home/jmschr/Desktop/pomegranate/pomegranate/hmm.pyx";
static char __pyx_k_must_bake_model_before_sampling[] = "must bake model before sampling";
static char __pyx_k_unknown_dtype_code_in_numpy_pxd[] = "unknown dtype code in numpy.pxd (%d)";
static char __pyx_k_A_state_with_name_already_exists[] = "A state with name '{}' already exists";
static 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 char __pyx_k_All_dimensions_preceding_dimensi[] = "All dimensions preceding dimension %d must be indexed and not sliced";
static char __pyx_k_Buffer_view_does_not_expose_stri[] = "Buffer view does not expose strides";
static char __pyx_k_Can_only_create_a_buffer_that_is[] = "Can only create a buffer that is contiguous in memory.";
static char __pyx_k_Cannot_transpose_memoryview_with[] = "Cannot transpose memoryview with indirect dimensions";
static char __pyx_k_Empty_shape_tuple_for_cython_arr[] = "Empty shape tuple for cython.array";
static char __pyx_k_Format_string_allocated_too_shor[] = "Format string allocated too short, see comment in numpy.pxd";
static char __pyx_k_HiddenMarkovModel_add_transition[] = "HiddenMarkovModel.add_transitions (line 436)";
static char __pyx_k_Indirect_dimensions_not_supporte[] = "Indirect dimensions not supported";
static char __pyx_k_Install_pygraphviz_for_nicer_vis[] = "Install pygraphviz for nicer visualizations";
static char __pyx_k_Invalid_mode_expected_c_or_fortr[] = "Invalid mode, expected 'c' or 'fortran', got %s";
static 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 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 char __pyx_k_Non_native_byte_order_not_suppor[] = "Non-native byte order not supported";
static char __pyx_k_Orphan_state_removed_due_to_no_e[] = "Orphan state {} removed due to no edges                             leading to it";
static char __pyx_k_Out_of_bounds_on_buffer_access_a[] = "Out of bounds on buffer access (axis %d)";
static char __pyx_k_String_must_be_properly_formatte[] = "String must be properly formatted JSON or filename of properly formatted JSON.";
static char __pyx_k_Symbol_is_not_defined_in_a_distr[] = "Symbol '{}' is not defined in a distribution";
static char __pyx_k_Unable_to_convert_item_to_object[] = "Unable to convert item to object";
static char __pyx_k_got_differing_extents_in_dimensi[] = "got differing extents in dimension %d (got %d and %d)";
static char __pyx_k_must_bake_model_before_computing[] = "must bake model before computing probability";
static char __pyx_k_must_bake_model_before_predictio[] = "must bake model before prediction";
static char __pyx_k_must_bake_model_before_summarizi[] = "must bake model before summarizing data";
static char __pyx_k_must_bake_model_before_using_MAP[] = "must bake model before using MAP decoding";
static char __pyx_k_must_bake_model_before_using_Vit[] = "must bake model before using Viterbi algorithm";
static char __pyx_k_must_bake_model_before_using_bac[] = "must bake model before using backward algorithm";
static char __pyx_k_must_bake_model_before_using_for[] = "must bake model before using forward algorithm";
static char __pyx_k_must_bake_model_before_using_fro[] = "must bake model before using from summaries";
static char __pyx_k_ndarray_is_not_Fortran_contiguou[] = "ndarray is not Fortran contiguous";
static char __pyx_k_unable_to_allocate_shape_and_str[] = "unable to allocate shape and strides.";
static char __pyx_k_Format_string_allocated_too_shor_2[] = "Format string allocated too short.";
static char __pyx_k_Orphan_state_removed_due_to_no_e_2[] = "Orphan state {} removed due to no edges                             leaving it";
static 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_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_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_kp_u_Format_string_allocated_too_shor;
static PyObject *__pyx_kp_u_Format_string_allocated_too_shor_2;
static PyObject *__pyx_n_s_HiddenMarkovModel;
static PyObject *__pyx_kp_u_HiddenMarkovModel_add_transition;
static PyObject *__pyx_n_s_IOError;
static PyObject *__pyx_n_s_ImportError;
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_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_kp_u_Non_native_byte_order_not_suppor;
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_RuntimeError;
static PyObject *__pyx_kp_s_String_must_be_properly_formatte;
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_Training_improvement;
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_kp_s_Warning_Sequence_is_impossible;
static PyObject *__pyx_kp_s__3;
static PyObject *__pyx_kp_s__33;
static PyObject *__pyx_kp_s__34;
static PyObject *__pyx_kp_s__4;
static PyObject *__pyx_n_s__57;
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_algorithm;
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_kp_s_baum_welch;
static PyObject *__pyx_n_s_baum_welch_summarize;
static PyObject *__pyx_n_s_blue;
static PyObject *__pyx_n_s_c;
static PyObject *__pyx_n_u_c;
static PyObject *__pyx_n_s_check_input;
static PyObject *__pyx_n_s_check_input_2;
static PyObject *__pyx_n_s_check_pickle;
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_close;
static PyObject *__pyx_n_s_color;
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_kp_s_depricated_Please_use_plot;
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_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_dumps;
static PyObject *__pyx_n_s_e;
static PyObject *__pyx_n_s_edge;
static PyObject *__pyx_n_s_edge_inertia;
static PyObject *__pyx_n_s_edges;
static PyObject *__pyx_n_s_edges_iter;
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_ends;
static PyObject *__pyx_n_s_enter;
static PyObject *__pyx_n_s_enumerate;
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_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_json;
static PyObject *__pyx_n_s_from_matrix;
static PyObject *__pyx_n_s_from_summaries;
static PyObject *__pyx_n_s_frozen;
static PyObject *__pyx_n_s_genexpr;
static PyObject *__pyx_n_s_get;
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_kp_s_home_jmschr_Desktop_pomegranate;
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_imread;
static PyObject *__pyx_n_s_imshow;
static PyObject *__pyx_n_s_indent;
static PyObject *__pyx_n_s_index;
static PyObject *__pyx_n_s_inertia;
static PyObject *__pyx_n_s_int32;
static PyObject *__pyx_n_s_is_silent;
static PyObject *__pyx_n_s_it;
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_itertools;
static PyObject *__pyx_n_s_izip;
static PyObject *__pyx_n_s_j;
static PyObject *__pyx_n_s_joblib;
static PyObject *__pyx_n_s_json;
static PyObject *__pyx_n_s_key;
static PyObject *__pyx_n_s_keymap;
static PyObject *__pyx_n_s_keys;
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_summarize;
static PyObject *__pyx_n_s_labels;
static PyObject *__pyx_n_s_len;
static PyObject *__pyx_n_s_length;
static PyObject *__pyx_n_s_load;
static PyObject *__pyx_n_s_loads;
static PyObject *__pyx_n_s_log;
static PyObject *__pyx_n_s_log_probability;
static PyObject *__pyx_n_s_lower;
static PyObject *__pyx_n_s_main;
static PyObject *__pyx_n_s_map;
static PyObject *__pyx_n_s_math;
static PyObject *__pyx_n_s_matplotlib;
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_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_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_jobs;
static PyObject *__pyx_n_s_name;
static PyObject *__pyx_n_s_name_2;
static PyObject *__pyx_n_s_nbunch;
static PyObject *__pyx_kp_u_ndarray_is_not_C_contiguous;
static PyObject *__pyx_kp_u_ndarray_is_not_Fortran_contiguou;
static PyObject *__pyx_n_s_ndim;
static PyObject *__pyx_n_s_networkx;
static PyObject *__pyx_n_s_nodes;
static PyObject *__pyx_n_s_numpy;
static PyObject *__pyx_n_s_obj;
static PyObject *__pyx_n_s_object;
static PyObject *__pyx_n_s_off;
static PyObject *__pyx_n_s_ones;
static PyObject *__pyx_n_s_open;
static PyObject *__pyx_n_s_operator;
static PyObject *__pyx_n_s_other;
static PyObject *__pyx_n_s_pack;
static PyObject *__pyx_n_s_parallel;
static PyObject *__pyx_n_s_partial;
static PyObject *__pyx_n_s_path;
static PyObject *__pyx_n_s_plt;
static PyObject *__pyx_n_s_png;
static PyObject *__pyx_n_s_pomegranate_hmm;
static PyObject *__pyx_n_s_precision;
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_getbuffer;
static PyObject *__pyx_n_s_pyx_vtable;
static PyObject *__pyx_n_s_r;
static PyObject *__pyx_n_s_random;
static PyObject *__pyx_n_s_range;
static PyObject *__pyx_n_s_red;
static PyObject *__pyx_n_s_remove_edge;
static PyObject *__pyx_n_s_remove_node;
static PyObject *__pyx_n_s_round;
static PyObject *__pyx_n_s_s;
static PyObject *__pyx_kp_s_s_2;
static PyObject *__pyx_n_s_sample;
static PyObject *__pyx_n_s_seed;
static PyObject *__pyx_n_s_send;
static PyObject *__pyx_n_s_separators;
static PyObject *__pyx_n_s_sequence;
static PyObject *__pyx_n_s_sequence_ndarray;
static PyObject *__pyx_n_s_sequences;
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_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_sys;
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_to_json;
static PyObject *__pyx_n_s_to_return;
static PyObject *__pyx_n_s_topological_sort;
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_kp_u_unknown_dtype_code_in_numpy_pxd;
static PyObject *__pyx_n_s_unpack;
static PyObject *__pyx_n_s_use_pseudocount;
static PyObject *__pyx_n_s_value;
static PyObject *__pyx_n_s_values;
static PyObject *__pyx_n_s_verbose;
static PyObject *__pyx_n_s_version_info;
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_xrange;
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 PyObject *__pyx_pf_11pomegranate_3hmm_2log(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_value); /* 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_32draw(CYTHON_UNUSED struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v_kwargs); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_34plot(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyObject *__pyx_v_precision, CYTHON_UNUSED 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_36bake(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_38sample(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyObject *__pyx_v_length, PyObject *__pyx_v_path); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_40log_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_42forward(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyObject *__pyx_v_sequence); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_44backward(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyObject *__pyx_v_sequence); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_46forward_backward(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyObject *__pyx_v_sequence); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_48viterbi(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyObject *__pyx_v_sequence); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_50predict_proba(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyObject *__pyx_v_sequence); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_52predict_log_proba(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyObject *__pyx_v_sequence); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_54predict(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_56maximum_a_posteriori(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyObject *__pyx_v_sequence); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_58fit(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_verbose, 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_n_jobs); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_60summarize(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_n_jobs, PyObject *__pyx_v_parallel, PyObject *__pyx_v_check_input); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_62_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_64_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_66_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_68from_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_70clear_summaries(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_72to_json(struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *__pyx_v_self, PyObject *__pyx_v_separators, PyObject *__pyx_v_indent); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_74from_json(CYTHON_UNUSED PyTypeObject *__pyx_v_cls, PyObject *__pyx_v_s, PyObject *__pyx_v_verbose); /* proto */
static PyObject *__pyx_pf_11pomegranate_3hmm_17HiddenMarkovModel_76from_matrix(CYTHON_UNUSED 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_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_pf_5numpy_7ndarray___getbuffer__(PyArrayObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */
static void __pyx_pf_5numpy_7ndarray_2__releasebuffer__(PyArrayObject *__pyx_v_self, Py_buffer *__pyx_v_info); /* 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 PyObject *__pyx_array___pyx_pf_15View_dot_MemoryView_5array_6__getattr__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_attr); /* proto */
static PyObject *__pyx_array___pyx_pf_15View_dot_MemoryView_5array_8__getitem__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_item); /* proto */
static int __pyx_array___pyx_pf_15View_dot_MemoryView_5array_10__setitem__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_item, PyObject *__pyx_v_value); /* 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 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 */
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static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_1T___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
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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 */
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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 */
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static char __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_42forward[] = "Run the forward algorithm on the sequence.\n\n        Calculate the probability of each observation being aligned to each\n        state by going forward through a sequence. Returns the full forward\n        matrix. Each index i, j corresponds to the sum-of-all-paths log\n        probability of starting at the beginning of the sequence, and aligning\n        observations to hidden states in such a manner that observation i was\n        aligned to hidden state j. Uses row normalization to dynamically scale\n        each row to prevent underflow errors.\n\n        If the sequence is impossible, will return a matrix of nans.\n\n        See also:\n            - Silent state handling taken from p. 71 of \"Biological\n        Sequence Analysis\" by Durbin et al., and works for anything which\n        does not have loops of silent states.\n            - Row normalization technique explained by\n        http://www.cs.sjsu.edu/~stamp/RUA/HMM.pdf on p. 14.\n\n        Parameters\n        ----------\n        sequence : array-like\n            An array (or list) of observations.\n\n        Returns\n        -------\n        matrix : array-like, shape (len(sequence), n_states)\n            The probability of aligning the sequences to states in a forward\n            fashion.\n        ";
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/* "pomegranate/hmm.pyx":1371
 *         return f_ndarray
 * 
 *     cdef double* _forward( self, double* sequence, int n, double* emissions ) nogil:             # <<<<<<<<<<<<<<
 *         cdef int i, k, ki, l, li
 *         cdef int p = self.silent_start, m = self.n_states
 */

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) {
  int __pyx_v_i;
  int __pyx_v_k;
  int __pyx_v_ki;
  int __pyx_v_l;
  CYTHON_UNUSED int __pyx_v_p;
  int __pyx_v_m;
  int __pyx_v_dim;
  void **__pyx_v_distributions;
  double __pyx_v_log_probability;
  int *__pyx_v_in_edges;
  double *__pyx_v_e;
  double *__pyx_v_f;
  double *__pyx_r;
  int __pyx_t_1;
  int *__pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;
  int __pyx_t_5;
  int __pyx_t_6;
  Py_ssize_t __pyx_t_7;
  Py_ssize_t __pyx_t_8;
  int __pyx_t_9;
  int __pyx_t_10;
  int __pyx_t_11;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;

  /* "pomegranate/hmm.pyx":1373
 *     cdef double* _forward( self, double* sequence, int n, double* emissions ) nogil:
 *         cdef int i, k, ki, l, li
 *         cdef int p = self.silent_start, m = self.n_states             # <<<<<<<<<<<<<<
 *         cdef int dim = self.d
 * 
 */
  __pyx_t_1 = __pyx_v_self->silent_start;
  __pyx_v_p = __pyx_t_1;
  __pyx_t_1 = __pyx_v_self->__pyx_base.n_states;
  __pyx_v_m = __pyx_t_1;

  /* "pomegranate/hmm.pyx":1374
 *         cdef int i, k, ki, l, li
 *         cdef int p = self.silent_start, m = self.n_states
 *         cdef int dim = self.d             # <<<<<<<<<<<<<<
 * 
 *         cdef void** distributions = <void**> self.distributions_ptr
 */
  __pyx_t_1 = __pyx_v_self->__pyx_base.__pyx_base.d;
  __pyx_v_dim = __pyx_t_1;

  /* "pomegranate/hmm.pyx":1376
 *         cdef int dim = self.d
 * 
 *         cdef void** distributions = <void**> self.distributions_ptr             # <<<<<<<<<<<<<<
 * 
 *         cdef double log_probability
 */
  __pyx_v_distributions = ((void **)__pyx_v_self->distributions_ptr);

  /* "pomegranate/hmm.pyx":1379
 * 
 *         cdef double log_probability
 *         cdef int* in_edges = self.in_edge_count             # <<<<<<<<<<<<<<
 * 
 *         cdef double* e = NULL
 */
  __pyx_t_2 = __pyx_v_self->in_edge_count;
  __pyx_v_in_edges = __pyx_t_2;

  /* "pomegranate/hmm.pyx":1381
 *         cdef int* in_edges = self.in_edge_count
 * 
 *         cdef double* e = NULL             # <<<<<<<<<<<<<<
 *         cdef double* f = <double*> calloc( m*(n+1), sizeof(double) )
 * 
 */
  __pyx_v_e = NULL;

  /* "pomegranate/hmm.pyx":1382
 * 
 *         cdef double* e = NULL
 *         cdef double* f = <double*> calloc( m*(n+1), sizeof(double) )             # <<<<<<<<<<<<<<
 * 
 *         # Either fill in a new emissions matrix, or use the one which has
 */
  __pyx_v_f = ((double *)calloc((__pyx_v_m * (__pyx_v_n + 1)), (sizeof(double))));

  /* "pomegranate/hmm.pyx":1386
 *         # 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*> calloc( 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":1387
 *         # been provided from a previous call.
 *         if emissions is NULL:
 *             e = <double*> calloc( n*self.silent_start, sizeof(double) )             # <<<<<<<<<<<<<<
 *             for l in range( self.silent_start ):
 *                 for i in range( n ):
 */
    __pyx_v_e = ((double *)calloc((__pyx_v_n * __pyx_v_self->silent_start), (sizeof(double))));

    /* "pomegranate/hmm.pyx":1388
 *         if emissions is NULL:
 *             e = <double*> calloc( n*self.silent_start, sizeof(double) )
 *             for l in range( self.silent_start ):             # <<<<<<<<<<<<<<
 *                 for i in range( n ):
 *                     if self.multivariate:
 */
    __pyx_t_1 = __pyx_v_self->silent_start;
    for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_1; __pyx_t_4+=1) {
      __pyx_v_l = __pyx_t_4;

      /* "pomegranate/hmm.pyx":1389
 *             e = <double*> calloc( n*self.silent_start, sizeof(double) )
 *             for l in range( self.silent_start ):
 *                 for i in range( n ):             # <<<<<<<<<<<<<<
 *                     if self.multivariate:
 *                         e[l*n + i] = (( <Model> distributions[l] )._mv_log_probability( sequence+i*dim ) +
 */
      __pyx_t_5 = __pyx_v_n;
      for (__pyx_t_6 = 0; __pyx_t_6 < __pyx_t_5; __pyx_t_6+=1) {
        __pyx_v_i = __pyx_t_6;

        /* "pomegranate/hmm.pyx":1390
 *             for l in range( self.silent_start ):
 *                 for i in range( n ):
 *                     if self.multivariate:             # <<<<<<<<<<<<<<
 *                         e[l*n + i] = (( <Model> distributions[l] )._mv_log_probability( sequence+i*dim ) +
 *                             self.state_weights[l] )
 */
        __pyx_t_3 = (__pyx_v_self->multivariate != 0);
        if (__pyx_t_3) {

          /* "pomegranate/hmm.pyx":1392
 *                     if self.multivariate:
 *                         e[l*n + i] = (( <Model> distributions[l] )._mv_log_probability( sequence+i*dim ) +
 *                             self.state_weights[l] )             # <<<<<<<<<<<<<<
 *                     else:
 *                         e[l*n + i] = (( <Model> distributions[l] )._log_probability( sequence[i] ) +
 */
          if (unlikely(!__pyx_v_self->state_weights.memview)) {PyErr_SetString(PyExc_AttributeError,"Memoryview is not initialized");{__pyx_filename = __pyx_f[0]; __pyx_lineno = 1392; __pyx_clineno = __LINE__; goto __pyx_L1_error;}}
          __pyx_t_7 = __pyx_v_l;
          if (__pyx_t_7 < 0) __pyx_t_7 += __pyx_v_self->state_weights.shape[0];

          /* "pomegranate/hmm.pyx":1391
 *                 for i in range( n ):
 *                     if self.multivariate:
 *                         e[l*n + i] = (( <Model> distributions[l] )._mv_log_probability( sequence+i*dim ) +             # <<<<<<<<<<<<<<
 *                             self.state_weights[l] )
 *                     else:
 */
          (__pyx_v_e[((__pyx_v_l * __pyx_v_n) + __pyx_v_i)]) = (((struct __pyx_vtabstruct_11pomegranate_4base_Model *)((struct __pyx_obj_11pomegranate_4base_Model *)(__pyx_v_distributions[__pyx_v_l]))->__pyx_vtab)->_mv_log_probability(((struct __pyx_obj_11pomegranate_4base_Model *)(__pyx_v_distributions[__pyx_v_l])), (__pyx_v_sequence + (__pyx_v_i * __pyx_v_dim))) + (*((double *) ( /* dim=0 */ (__pyx_v_self->state_weights.data + __pyx_t_7 * __pyx_v_self->state_weights.strides[0]) ))));

          /* "pomegranate/hmm.pyx":1390
 *             for l in range( self.silent_start ):
 *                 for i in range( n ):
 *                     if self.multivariate:             # <<<<<<<<<<<<<<
 *                         e[l*n + i] = (( <Model> distributions[l] )._mv_log_probability( sequence+i*dim ) +
 *                             self.state_weights[l] )
 */
          goto __pyx_L8;
        }

        /* "pomegranate/hmm.pyx":1394
 *                             self.state_weights[l] )
 *                     else:
 *                         e[l*n + i] = (( <Model> distributions[l] )._log_probability( sequence[i] ) +             # <<<<<<<<<<<<<<
 *                             self.state_weights[l] )
 *         else:
 */
        /*else*/ {

          /* "pomegranate/hmm.pyx":1395
 *                     else:
 *                         e[l*n + i] = (( <Model> distributions[l] )._log_probability( sequence[i] ) +
 *                             self.state_weights[l] )             # <<<<<<<<<<<<<<
 *         else:
 *             e = emissions
 */
          if (unlikely(!__pyx_v_self->state_weights.memview)) {PyErr_SetString(PyExc_AttributeError,"Memoryview is not initialized");{__pyx_filename = __pyx_f[0]; __pyx_lineno = 1395; __pyx_clineno = __LINE__; goto __pyx_L1_error;}}
          __pyx_t_8 = __pyx_v_l;
          if (__pyx_t_8 < 0) __pyx_t_8 += __pyx_v_self->state_weights.shape[0];

          /* "pomegranate/hmm.pyx":1394
 *                             self.state_weights[l] )
 *                     else:
 *                         e[l*n + i] = (( <Model> distributions[l] )._log_probability( sequence[i] ) +             # <<<<<<<<<<<<<<
 *                             self.state_weights[l] )
 *         else:
 */
          (__pyx_v_e[((__pyx_v_l * __pyx_v_n) + __pyx_v_i)]) = (((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])) + (*((double *) ( /* dim=0 */ (__pyx_v_self->state_weights.data + __pyx_t_8 * __pyx_v_self->state_weights.strides[0]) ))));
        }
        __pyx_L8:;
      }
    }

    /* "pomegranate/hmm.pyx":1386
 *         # 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*> calloc( n*self.silent_start, sizeof(double) )
 *             for l in range( self.silent_start ):
 */
    goto __pyx_L3;
  }

  /* "pomegranate/hmm.pyx":1397
 *                             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_L3:;

  /* "pomegranate/hmm.pyx":1400
 * 
 *         # 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;
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    __pyx_v_i = __pyx_t_4;

    /* "pomegranate/hmm.pyx":1401
 *         # 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":1402
 *         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":1404
 *         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;
  for (__pyx_t_4 = __pyx_v_self->silent_start; __pyx_t_4 < __pyx_t_1; __pyx_t_4+=1) {
    __pyx_v_l = __pyx_t_4;

    /* "pomegranate/hmm.pyx":1408
 *             # 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":1410
 *             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_L11_continue;

      /* "pomegranate/hmm.pyx":1408
 *             # 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":1415
 *             # 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":1416
 *             # 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_5 = (__pyx_v_in_edges[(__pyx_v_l + 1)]);
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      __pyx_v_k = __pyx_t_6;

      /* "pomegranate/hmm.pyx":1417
 *             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":1418
 *             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_9 = ((__pyx_v_ki < __pyx_v_self->silent_start) != 0);
      if (!__pyx_t_9) {
      } else {
        __pyx_t_3 = __pyx_t_9;
        goto __pyx_L17_bool_binop_done;
      }
      __pyx_t_9 = ((__pyx_v_ki >= __pyx_v_l) != 0);
      __pyx_t_3 = __pyx_t_9;
      __pyx_L17_bool_binop_done:;
      if (__pyx_t_3) {

        /* "pomegranate/hmm.pyx":1419
 *                 ki = self.in_transitions[k]
 *                 if ki < self.silent_start or ki >= l:
 *                     continue             # <<<<<<<<<<<<<<
 * 
 *                 # For each current-step preceeding silent state k
 */
        goto __pyx_L14_continue;

        /* "pomegranate/hmm.pyx":1418
 *             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":1422
 * 
 *                 # For each current-step preceeding silent state k
 *                 log_probability = pair_lse( log_probability,             # <<<<<<<<<<<<<<
 *                     f[ki] + self.in_transition_log_probabilities[k] )
 * 
 */
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      __pyx_L14_continue:;
    }

    /* "pomegranate/hmm.pyx":1426
 * 
 *             # Update the table entry
 *             f[l] = log_probability             # <<<<<<<<<<<<<<
 * 
 *         for i in range( n ):
 */
    (__pyx_v_f[__pyx_v_l]) = __pyx_v_log_probability;
    __pyx_L11_continue:;
  }

  /* "pomegranate/hmm.pyx":1428
 *             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;
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    __pyx_v_i = __pyx_t_4;

    /* "pomegranate/hmm.pyx":1429
 * 
 *         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_5 = __pyx_v_self->silent_start;
    for (__pyx_t_6 = 0; __pyx_t_6 < __pyx_t_5; __pyx_t_6+=1) {
      __pyx_v_l = __pyx_t_6;

      /* "pomegranate/hmm.pyx":1434
 *                 # 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":1435
 * 
 *                 log_probability = NEGINF
 *                 for k in range( in_edges[l], in_edges[l+1] ):             # <<<<<<<<<<<<<<
 *                     ki = self.in_transitions[k]
 * 
 */
      __pyx_t_10 = (__pyx_v_in_edges[(__pyx_v_l + 1)]);
      for (__pyx_t_11 = (__pyx_v_in_edges[__pyx_v_l]); __pyx_t_11 < __pyx_t_10; __pyx_t_11+=1) {
        __pyx_v_k = __pyx_t_11;

        /* "pomegranate/hmm.pyx":1436
 *                 log_probability = NEGINF
 *                 for k in range( in_edges[l], in_edges[l+1] ):
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 */
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 *                 log_probability = NEGINF
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 *                     if ki >= self.silent_start:
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 */
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 *                     if ki >= self.silent_start:             # <<<<<<<<<<<<<<
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 * 
 */
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 * 
 *                     # For each current-step non-silent state k
 */
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 *                 for k in range( in_edges[l], in_edges[l+1] ):
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 *                     if ki >= self.silent_start:             # <<<<<<<<<<<<<<
 *                         continue
 * 
 */
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 * 
 *                     # For each current-step non-silent state k
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 */
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 */
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 *                 # Add the previous partial result and update the table entry
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/* "pomegranate/hmm.pyx":1541
 *         return b_ndarray
 * 
 *     cdef double* _backward( self, double* sequence, int n, double* emissions ) nogil:             # <<<<<<<<<<<<<<
 *         cdef int i, ir, k, kr, l, li
 *         cdef int p = self.silent_start, m = self.n_states
 */

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) {
  int __pyx_v_i;
  int __pyx_v_ir;
  int __pyx_v_k;
  int __pyx_v_kr;
  int __pyx_v_l;
  int __pyx_v_li;
  CYTHON_UNUSED int __pyx_v_p;
  int __pyx_v_m;
  int __pyx_v_dim;
  void **__pyx_v_distributions;
  double __pyx_v_log_probability;
  int *__pyx_v_out_edges;
  double *__pyx_v_e;
  double *__pyx_v_b;
  double *__pyx_r;
  int __pyx_t_1;
  int *__pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;
  int __pyx_t_5;
  int __pyx_t_6;
  Py_ssize_t __pyx_t_7;
  Py_ssize_t __pyx_t_8;
  int __pyx_t_9;
  int __pyx_t_10;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;

  /* "pomegranate/hmm.pyx":1543
 *     cdef double* _backward( self, double* sequence, int n, double* emissions ) nogil:
 *         cdef int i, ir, k, kr, l, li
 *         cdef int p = self.silent_start, m = self.n_states             # <<<<<<<<<<<<<<
 *         cdef int dim = self.d
 * 
 */
  __pyx_t_1 = __pyx_v_self->silent_start;
  __pyx_v_p = __pyx_t_1;
  __pyx_t_1 = __pyx_v_self->__pyx_base.n_states;
  __pyx_v_m = __pyx_t_1;

  /* "pomegranate/hmm.pyx":1544
 *         cdef int i, ir, k, kr, l, li
 *         cdef int p = self.silent_start, m = self.n_states
 *         cdef int dim = self.d             # <<<<<<<<<<<<<<
 * 
 *         cdef void** distributions = <void**> self.distributions_ptr
 */
  __pyx_t_1 = __pyx_v_self->__pyx_base.__pyx_base.d;
  __pyx_v_dim = __pyx_t_1;

  /* "pomegranate/hmm.pyx":1546
 *         cdef int dim = self.d
 * 
 *         cdef void** distributions = <void**> self.distributions_ptr             # <<<<<<<<<<<<<<
 * 
 *         cdef double log_probability
 */
  __pyx_v_distributions = ((void **)__pyx_v_self->distributions_ptr);

  /* "pomegranate/hmm.pyx":1549
 * 
 *         cdef double log_probability
 *         cdef int* out_edges = self.out_edge_count             # <<<<<<<<<<<<<<
 * 
 *         cdef double* e = NULL
 */
  __pyx_t_2 = __pyx_v_self->out_edge_count;
  __pyx_v_out_edges = __pyx_t_2;

  /* "pomegranate/hmm.pyx":1551
 *         cdef int* out_edges = self.out_edge_count
 * 
 *         cdef double* e = NULL             # <<<<<<<<<<<<<<
 *         cdef double* b = <double*> calloc( (n+1)*m, sizeof(double) )
 * 
 */
  __pyx_v_e = NULL;

  /* "pomegranate/hmm.pyx":1552
 * 
 *         cdef double* e = NULL
 *         cdef double* b = <double*> calloc( (n+1)*m, sizeof(double) )             # <<<<<<<<<<<<<<
 * 
 *         # Either fill in a new emissions matrix, or use the one which has
 */
  __pyx_v_b = ((double *)calloc(((__pyx_v_n + 1) * __pyx_v_m), (sizeof(double))));

  /* "pomegranate/hmm.pyx":1556
 *         # 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*> calloc( 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":1557
 *         # been provided from a previous call.
 *         if emissions is NULL:
 *             e = <double*> calloc( n*self.silent_start, sizeof(double) )             # <<<<<<<<<<<<<<
 *             for l in range( self.silent_start ):
 *                 for i in range( n ):
 */
    __pyx_v_e = ((double *)calloc((__pyx_v_n * __pyx_v_self->silent_start), (sizeof(double))));

    /* "pomegranate/hmm.pyx":1558
 *         if emissions is NULL:
 *             e = <double*> calloc( n*self.silent_start, sizeof(double) )
 *             for l in range( self.silent_start ):             # <<<<<<<<<<<<<<
 *                 for i in range( n ):
 *                     if self.multivariate:
 */
    __pyx_t_1 = __pyx_v_self->silent_start;
    for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_1; __pyx_t_4+=1) {
      __pyx_v_l = __pyx_t_4;

      /* "pomegranate/hmm.pyx":1559
 *             e = <double*> calloc( n*self.silent_start, sizeof(double) )
 *             for l in range( self.silent_start ):
 *                 for i in range( n ):             # <<<<<<<<<<<<<<
 *                     if self.multivariate:
 *                         e[l*n + i] = ((<Model>distributions[l])._mv_log_probability( sequence+i*dim ) +
 */
      __pyx_t_5 = __pyx_v_n;
      for (__pyx_t_6 = 0; __pyx_t_6 < __pyx_t_5; __pyx_t_6+=1) {
        __pyx_v_i = __pyx_t_6;

        /* "pomegranate/hmm.pyx":1560
 *             for l in range( self.silent_start ):
 *                 for i in range( n ):
 *                     if self.multivariate:             # <<<<<<<<<<<<<<
 *                         e[l*n + i] = ((<Model>distributions[l])._mv_log_probability( sequence+i*dim ) +
 *                             self.state_weights[l])
 */
        __pyx_t_3 = (__pyx_v_self->multivariate != 0);
        if (__pyx_t_3) {

          /* "pomegranate/hmm.pyx":1562
 *                     if self.multivariate:
 *                         e[l*n + i] = ((<Model>distributions[l])._mv_log_probability( sequence+i*dim ) +
 *                             self.state_weights[l])             # <<<<<<<<<<<<<<
 *                     else:
 *                         e[l*n + i] = ((<Model>distributions[l])._log_probability( sequence[i] ) +
 */
          if (unlikely(!__pyx_v_self->state_weights.memview)) {PyErr_SetString(PyExc_AttributeError,"Memoryview is not initialized");{__pyx_filename = __pyx_f[0]; __pyx_lineno = 1562; __pyx_clineno = __LINE__; goto __pyx_L1_error;}}
          __pyx_t_7 = __pyx_v_l;
          if (__pyx_t_7 < 0) __pyx_t_7 += __pyx_v_self->state_weights.shape[0];

          /* "pomegranate/hmm.pyx":1561
 *                 for i in range( n ):
 *                     if self.multivariate:
 *                         e[l*n + i] = ((<Model>distributions[l])._mv_log_probability( sequence+i*dim ) +             # <<<<<<<<<<<<<<
 *                             self.state_weights[l])
 *                     else:
 */
          (__pyx_v_e[((__pyx_v_l * __pyx_v_n) + __pyx_v_i)]) = (((struct __pyx_vtabstruct_11pomegranate_4base_Model *)((struct __pyx_obj_11pomegranate_4base_Model *)(__pyx_v_distributions[__pyx_v_l]))->__pyx_vtab)->_mv_log_probability(((struct __pyx_obj_11pomegranate_4base_Model *)(__pyx_v_distributions[__pyx_v_l])), (__pyx_v_sequence + (__pyx_v_i * __pyx_v_dim))) + (*((double *) ( /* dim=0 */ (__pyx_v_self->state_weights.data + __pyx_t_7 * __pyx_v_self->state_weights.strides[0]) ))));

          /* "pomegranate/hmm.pyx":1560
 *             for l in range( self.silent_start ):
 *                 for i in range( n ):
 *                     if self.multivariate:             # <<<<<<<<<<<<<<
 *                         e[l*n + i] = ((<Model>distributions[l])._mv_log_probability( sequence+i*dim ) +
 *                             self.state_weights[l])
 */
          goto __pyx_L8;
        }

        /* "pomegranate/hmm.pyx":1564
 *                             self.state_weights[l])
 *                     else:
 *                         e[l*n + i] = ((<Model>distributions[l])._log_probability( sequence[i] ) +             # <<<<<<<<<<<<<<
 *                             self.state_weights[l])
 *         else:
 */
        /*else*/ {

          /* "pomegranate/hmm.pyx":1565
 *                     else:
 *                         e[l*n + i] = ((<Model>distributions[l])._log_probability( sequence[i] ) +
 *                             self.state_weights[l])             # <<<<<<<<<<<<<<
 *         else:
 *             e = emissions
 */
          if (unlikely(!__pyx_v_self->state_weights.memview)) {PyErr_SetString(PyExc_AttributeError,"Memoryview is not initialized");{__pyx_filename = __pyx_f[0]; __pyx_lineno = 1565; __pyx_clineno = __LINE__; goto __pyx_L1_error;}}
          __pyx_t_8 = __pyx_v_l;
          if (__pyx_t_8 < 0) __pyx_t_8 += __pyx_v_self->state_weights.shape[0];

          /* "pomegranate/hmm.pyx":1564
 *                             self.state_weights[l])
 *                     else:
 *                         e[l*n + i] = ((<Model>distributions[l])._log_probability( sequence[i] ) +             # <<<<<<<<<<<<<<
 *                             self.state_weights[l])
 *         else:
 */
          (__pyx_v_e[((__pyx_v_l * __pyx_v_n) + __pyx_v_i)]) = (((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])) + (*((double *) ( /* dim=0 */ (__pyx_v_self->state_weights.data + __pyx_t_8 * __pyx_v_self->state_weights.strides[0]) ))));
        }
        __pyx_L8:;
      }
    }

    /* "pomegranate/hmm.pyx":1556
 *         # 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*> calloc( n*self.silent_start, sizeof(double) )
 *             for l in range( self.silent_start ):
 */
    goto __pyx_L3;
  }

  /* "pomegranate/hmm.pyx":1567
 *                             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_L3:;

  /* "pomegranate/hmm.pyx":1570
 * 
 *         # 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":1571
 *         # 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;
    for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_1; __pyx_t_4+=1) {
      __pyx_v_i = __pyx_t_4;

      /* "pomegranate/hmm.pyx":1572
 *         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":1573
 *             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":1570
 * 
 *         # 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_L9;
  }

  /* "pomegranate/hmm.pyx":1575
 *             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;
    for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_1; __pyx_t_4+=1) {
      __pyx_v_i = __pyx_t_4;

      /* "pomegranate/hmm.pyx":1576
 *         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":1577
 *             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;
    for (__pyx_t_4 = __pyx_v_self->silent_start; __pyx_t_4 < __pyx_t_1; __pyx_t_4+=1) {
      __pyx_v_i = __pyx_t_4;

      /* "pomegranate/hmm.pyx":1578
 *                 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_L9:;

  /* "pomegranate/hmm.pyx":1580
 *                 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);
  for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_1; __pyx_t_4+=1) {
    __pyx_v_kr = __pyx_t_4;

    /* "pomegranate/hmm.pyx":1581
 * 
 *         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":1582
 *         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_L17_break;

      /* "pomegranate/hmm.pyx":1581
 * 
 *         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":1585
 *             # 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":1591
 *             # 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":1593
 *             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_L16_continue;

      /* "pomegranate/hmm.pyx":1591
 *             # 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":1598
 *             # 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":1599
 *             # 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_5 = (__pyx_v_out_edges[(__pyx_v_k + 1)]);
    for (__pyx_t_6 = (__pyx_v_out_edges[__pyx_v_k]); __pyx_t_6 < __pyx_t_5; __pyx_t_6+=1) {
      __pyx_v_l = __pyx_t_6;

      /* "pomegranate/hmm.pyx":1600
 *             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":1601
 *             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":1602
 *                 li = self.out_transitions[l]
 *                 if li < k+1:
 *                     continue             # <<<<<<<<<<<<<<
 * 
 *                 # For each possible current-step silent state we can go to,
 */
        goto __pyx_L20_continue;

        /* "pomegranate/hmm.pyx":1601
 *             for l in range( out_edges[k], out_edges[k+1] ):
 *                 li = self.out_transitions[l]
 *                 if li < k+1:             # <<<<<<<<<<<<<<
 *                     continue
 * 
 */
      }

      /* "pomegranate/hmm.pyx":1606
 *                 # 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_L20_continue:;
    }

    /* "pomegranate/hmm.pyx":1611
 *             # 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_L16_continue:;
  }
  __pyx_L17_break:;

  /* "pomegranate/hmm.pyx":1613
 *             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;
  for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_1; __pyx_t_4+=1) {
    __pyx_v_k = __pyx_t_4;

    /* "pomegranate/hmm.pyx":1614
 * 
 *         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":1615
 *         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_L24_break;

      /* "pomegranate/hmm.pyx":1614
 * 
 *         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":1621
 *             # 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":1622
 *             # 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_5 = (__pyx_v_out_edges[(__pyx_v_k + 1)]);
    for (__pyx_t_6 = (__pyx_v_out_edges[__pyx_v_k]); __pyx_t_6 < __pyx_t_5; __pyx_t_6+=1) {
      __pyx_v_l = __pyx_t_6;

      /* "pomegranate/hmm.pyx":1623
 *             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":1624
 *             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":1625
 *                 li = self.out_transitions[l]
 *                 if li < self.silent_start:
 *                     continue             # <<<<<<<<<<<<<<
 * 
 *                 # For each current-step silent state, add in the probability
 */
        goto __pyx_L26_continue;

        /* "pomegranate/hmm.pyx":1624
 *             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":1630
 *                 # 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_L26_continue:;
    }

    /* "pomegranate/hmm.pyx":1635
 *             # 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_L24_break:;

  /* "pomegranate/hmm.pyx":1638
 * 
 *         # 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;
  for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_1; __pyx_t_4+=1) {
    __pyx_v_ir = __pyx_t_4;

    /* "pomegranate/hmm.pyx":1643
 *             # Cython xranges 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":1644
 *             # it properly
 *             i = n - ir - 1
 *             for kr in range( m-self.silent_start ):             # <<<<<<<<<<<<<<
 *                 k = m - kr - 1
 * 
 */
    __pyx_t_5 = (__pyx_v_m - __pyx_v_self->silent_start);
    for (__pyx_t_6 = 0; __pyx_t_6 < __pyx_t_5; __pyx_t_6+=1) {
      __pyx_v_kr = __pyx_t_6;

      /* "pomegranate/hmm.pyx":1645
 *             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":1653
 *                 # 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":1654
 *                 # 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_9 = (__pyx_v_out_edges[(__pyx_v_k + 1)]);
      for (__pyx_t_10 = (__pyx_v_out_edges[__pyx_v_k]); __pyx_t_10 < __pyx_t_9; __pyx_t_10+=1) {
        __pyx_v_l = __pyx_t_10;

        /* "pomegranate/hmm.pyx":1655
 *                 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":1656
 *                 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":1657
 *                     li = self.out_transitions[l]
 *                     if li >= self.silent_start:
 *                         continue             # <<<<<<<<<<<<<<
 * 
 *                     # For each subsequent non-silent state l, take into account
 */
          goto __pyx_L33_continue;

          /* "pomegranate/hmm.pyx":1656
 *                 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":1661
 *                     # 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] )
 */
        __pyx_v_log_probability = __pyx_f_11pomegranate_5utils_pair_lse(__pyx_v_log_probability, (((__pyx_v_b[(((__pyx_v_i + 1) * __pyx_v_m) + __pyx_v_li)]) + (__pyx_v_self->out_transition_log_probabilities[__pyx_v_l])) + (__pyx_v_e[(__pyx_v_i + (__pyx_v_li * __pyx_v_n))])));
        __pyx_L33_continue:;
      }

      /* "pomegranate/hmm.pyx":1668
 *                 # 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":1670
 *                 b[i*m + k] = log_probability
 * 
 *             for kr in range( m-self.silent_start ):             # <<<<<<<<<<<<<<
 *                 k = m - kr - 1
 * 
 */
    __pyx_t_5 = (__pyx_v_m - __pyx_v_self->silent_start);
    for (__pyx_t_6 = 0; __pyx_t_6 < __pyx_t_5; __pyx_t_6+=1) {
      __pyx_v_kr = __pyx_t_6;

      /* "pomegranate/hmm.pyx":1671
 * 
 *             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":1680
 *                 # 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":1681
 *                 # 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_9 = (__pyx_v_out_edges[(__pyx_v_k + 1)]);
      for (__pyx_t_10 = (__pyx_v_out_edges[__pyx_v_k]); __pyx_t_10 < __pyx_t_9; __pyx_t_10+=1) {
        __pyx_v_l = __pyx_t_10;

        /* "pomegranate/hmm.pyx":1682
 *                 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":1683
 *                 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":1684
 *                     li = self.out_transitions[l]
 *                     if li < k+1:
 *                         continue             # <<<<<<<<<<<<<<
 * 
 *                     # For each possible current-step silent state we can go to,
 */
          goto __pyx_L38_continue;

          /* "pomegranate/hmm.pyx":1683
 *                 for l in range( out_edges[k], out_edges[k+1] ):
 *                     li = self.out_transitions[l]
 *                     if li < k+1:             # <<<<<<<<<<<<<<
 *                         continue
 * 
 */
        }

        /* "pomegranate/hmm.pyx":1688
 *                     # 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] )
 * 
 */
        __pyx_v_log_probability = __pyx_f_11pomegranate_5utils_pair_lse(__pyx_v_log_probability, ((__pyx_v_b[((__pyx_v_i * __pyx_v_m) + __pyx_v_li)]) + (__pyx_v_self->out_transition_log_probabilities[__pyx_v_l])));
        __pyx_L38_continue:;
      }

      /* "pomegranate/hmm.pyx":1693
 *                 # 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 ):
 */
      (__pyx_v_b[((__pyx_v_i * __pyx_v_m) + __pyx_v_k)]) = __pyx_f_11pomegranate_5utils_pair_lse(__pyx_v_log_probability, (__pyx_v_b[((__pyx_v_i * __pyx_v_m) + __pyx_v_k)]));
    }

    /* "pomegranate/hmm.pyx":1695
 *                 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
 *                 # subsequent non-silent states and current-step silent states.
 */
    __pyx_t_5 = __pyx_v_self->silent_start;
    for (__pyx_t_6 = 0; __pyx_t_6 < __pyx_t_5; __pyx_t_6+=1) {
      __pyx_v_k = __pyx_t_6;

      /* "pomegranate/hmm.pyx":1701
 *                 # 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":1702
 *                 # 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_9 = (__pyx_v_out_edges[(__pyx_v_k + 1)]);
      for (__pyx_t_10 = (__pyx_v_out_edges[__pyx_v_k]); __pyx_t_10 < __pyx_t_9; __pyx_t_10+=1) {
        __pyx_v_l = __pyx_t_10;

        /* "pomegranate/hmm.pyx":1703
 *                 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":1704
 *                 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":1705
 *                     li = self.out_transitions[l]
 *                     if li >= self.silent_start:
 *                         continue             # <<<<<<<<<<<<<<
 * 
 *                     # For each subsequent non-silent state l, take into account
 */
          goto __pyx_L43_continue;

          /* "pomegranate/hmm.pyx":1704
 *                 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":1709
 *                     # 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] )
 */
        __pyx_v_log_probability = __pyx_f_11pomegranate_5utils_pair_lse(__pyx_v_log_probability, (((__pyx_v_b[(((__pyx_v_i + 1) * __pyx_v_m) + __pyx_v_li)]) + (__pyx_v_self->out_transition_log_probabilities[__pyx_v_l])) + (__pyx_v_e[(__pyx_v_i + (__pyx_v_li * __pyx_v_n))])));
        __pyx_L43_continue:;
      }

      /* "pomegranate/hmm.pyx":1713
 *                         e[i + li*n] )
 * 
 *                 for l in range( out_edges[k], out_edges[k+1] ):             # <<<<<<<<<<<<<<
 *                     li = self.out_transitions[l]
 *                     if li < self.silent_start:
 */
      __pyx_t_9 = (__pyx_v_out_edges[(__pyx_v_k + 1)]);
      for (__pyx_t_10 = (__pyx_v_out_edges[__pyx_v_k]); __pyx_t_10 < __pyx_t_9; __pyx_t_10+=1) {
        __pyx_v_l = __pyx_t_10;

        /* "pomegranate/hmm.pyx":1714
 * 
 *                 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":1715
 *                 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":1716
 *                     li = self.out_transitions[l]
 *                     if li < self.silent_start:
 *                         continue             # <<<<<<<<<<<<<<
 * 
 *                     # For each current-step silent state, add in the probability
 */
          goto __pyx_L46_continue;

          /* "pomegranate/hmm.pyx":1715
 *                 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":1721
 *                     # of going from here to there and then continuing on to the
 *                     # end of the sequence.
 *                     log_probability = pair_lse( log_probability,             # <<<<<<<<<<<<<<
 *                         b[i*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_i * __pyx_v_m) + __pyx_v_li)]) + (__pyx_v_self->out_transition_log_probabilities[__pyx_v_l])));
        __pyx_L46_continue:;
      }

      /* "pomegranate/hmm.pyx":1726
 *                 # 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[i*m + k] = log_probability             # <<<<<<<<<<<<<<
 * 
 *         if emissions is NULL:
 */
      (__pyx_v_b[((__pyx_v_i * __pyx_v_m) + __pyx_v_k)]) = __pyx_v_log_probability;
    }
  }

  /* "pomegranate/hmm.pyx":1728
 *                 b[i*m + k] = log_probability
 * 
 *         if emissions is NULL:             # <<<<<<<<<<<<<<
 *             free(e)
 *         return b
 */
  __pyx_t_3 = ((__pyx_v_emissions == NULL) != 0);
  if (__pyx_t_3) {

    /* "pomegranate/hmm.pyx":1729
 * 
 *         if emissions is NULL:
 *             free(e)             # <<<<<<<<<<<<<<
 *         return b
 * 
 */
    free(__pyx_v_e);

    /* "pomegranate/hmm.pyx":1728
 *                 b[i*m + k] = log_probability
 * 
 *         if emissions is NULL:             # <<<<<<<<<<<<<<
 *             free(e)
 *         return b
 */
  }

  /* "pomegranate/hmm.pyx":1730
 *         if emissions is NULL:
 *             free(e)
 *         return b             # <<<<<<<<<<<<<<
 * 
 *     def forward_backward( self, sequence ):
 */
  __pyx_r = __pyx_v_b;
  goto __pyx_L0;

  /* "pomegranate/hmm.pyx":1541
 *         return b_ndarray
 * 
 *     cdef double* _backward( self, double* sequence, int n, double* emissions ) nogil:             # <<<<<<<<<<<<<<
 *         cdef int i, ir, k, kr, l, li
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  __pyx_t_1 = 0;

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 * 
 *         cdef numpy.ndarray emission_weights_ndarray = numpy.zeros((n, self.silent_start))
 *         cdef double* emission_weights = <double*> emission_weights_ndarray.data             # <<<<<<<<<<<<<<
 * 
 *         cdef double log_sequence_probability, log_probability
 */
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 *         cdef double log_transition_emission_probability_sum
 * 
 *         cdef int* out_edges = self.out_edge_count             # <<<<<<<<<<<<<<
 *         cdef int* tied_states = self.tied_state_count
 * 
 */
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  __pyx_v_out_edges = __pyx_t_8;

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 * 
 *         cdef int* out_edges = self.out_edge_count
 *         cdef int* tied_states = self.tied_state_count             # <<<<<<<<<<<<<<
 * 
 *         # Calculate the emissions table
 */
  __pyx_t_8 = __pyx_v_self->tied_state_count;
  __pyx_v_tied_states = __pyx_t_8;

  /* "pomegranate/hmm.pyx":1800
 * 
 *         # Calculate the emissions table
 *         for l in range( self.silent_start ):             # <<<<<<<<<<<<<<
 *             for i in range( n ):
 *                 if self.multivariate:
 */
  __pyx_t_3 = __pyx_v_self->silent_start;
  for (__pyx_t_9 = 0; __pyx_t_9 < __pyx_t_3; __pyx_t_9+=1) {
    __pyx_v_l = __pyx_t_9;

    /* "pomegranate/hmm.pyx":1801
 *         # Calculate the emissions table
 *         for l in range( self.silent_start ):
 *             for i in range( n ):             # <<<<<<<<<<<<<<
 *                 if self.multivariate:
 *                     e[l*n + i] = ((<Model>distributions[l])._mv_log_probability( sequence+i*dim ) +
 */
    __pyx_t_10 = __pyx_v_n;
    for (__pyx_t_11 = 0; __pyx_t_11 < __pyx_t_10; __pyx_t_11+=1) {
      __pyx_v_i = __pyx_t_11;

      /* "pomegranate/hmm.pyx":1802
 *         for l in range( self.silent_start ):
 *             for i in range( n ):
 *                 if self.multivariate:             # <<<<<<<<<<<<<<
 *                     e[l*n + i] = ((<Model>distributions[l])._mv_log_probability( sequence+i*dim ) +
 *                         self.state_weights[l])
 */
      __pyx_t_12 = (__pyx_v_self->multivariate != 0);
      if (__pyx_t_12) {

        /* "pomegranate/hmm.pyx":1804
 *                 if self.multivariate:
 *                     e[l*n + i] = ((<Model>distributions[l])._mv_log_probability( sequence+i*dim ) +
 *                         self.state_weights[l])             # <<<<<<<<<<<<<<
 *                 else:
 *                     e[l*n + i] = ((<Model>distributions[l])._log_probability( sequence[i] ) +
 */
        if (unlikely(!__pyx_v_self->state_weights.memview)) {PyErr_SetString(PyExc_AttributeError,"Memoryview is not initialized");{__pyx_filename = __pyx_f[0]; __pyx_lineno = 1804; __pyx_clineno = __LINE__; goto __pyx_L1_error;}}
        __pyx_t_13 = __pyx_v_l;
        if (__pyx_t_13 < 0) __pyx_t_13 += __pyx_v_self->state_weights.shape[0];

        /* "pomegranate/hmm.pyx":1803
 *             for i in range( n ):
 *                 if self.multivariate:
 *                     e[l*n + i] = ((<Model>distributions[l])._mv_log_probability( sequence+i*dim ) +             # <<<<<<<<<<<<<<
 *                         self.state_weights[l])
 *                 else:
 */
        (__pyx_v_e[((__pyx_v_l * __pyx_v_n) + __pyx_v_i)]) = (((struct __pyx_vtabstruct_11pomegranate_4base_Model *)((struct __pyx_obj_11pomegranate_4base_Model *)(__pyx_v_distributions[__pyx_v_l]))->__pyx_vtab)->_mv_log_probability(((struct __pyx_obj_11pomegranate_4base_Model *)(__pyx_v_distributions[__pyx_v_l])), (__pyx_v_sequence + (__pyx_v_i * __pyx_v_dim))) + (*((double *) ( /* dim=0 */ (__pyx_v_self->state_weights.data + __pyx_t_13 * __pyx_v_self->state_weights.strides[0]) ))));

        /* "pomegranate/hmm.pyx":1802
 *         for l in range( self.silent_start ):
 *             for i in range( n ):
 *                 if self.multivariate:             # <<<<<<<<<<<<<<
 *                     e[l*n + i] = ((<Model>distributions[l])._mv_log_probability( sequence+i*dim ) +
 *                         self.state_weights[l])
 */
        goto __pyx_L7;
      }

      /* "pomegranate/hmm.pyx":1806
 *                         self.state_weights[l])
 *                 else:
 *                     e[l*n + i] = ((<Model>distributions[l])._log_probability( sequence[i] ) +             # <<<<<<<<<<<<<<
 *                         self.state_weights[l])
 * 
 */
      /*else*/ {

        /* "pomegranate/hmm.pyx":1807
 *                 else:
 *                     e[l*n + i] = ((<Model>distributions[l])._log_probability( sequence[i] ) +
 *                         self.state_weights[l])             # <<<<<<<<<<<<<<
 * 
 *         f = self._forward( sequence, n, e )
 */
        if (unlikely(!__pyx_v_self->state_weights.memview)) {PyErr_SetString(PyExc_AttributeError,"Memoryview is not initialized");{__pyx_filename = __pyx_f[0]; __pyx_lineno = 1807; __pyx_clineno = __LINE__; goto __pyx_L1_error;}}
        __pyx_t_14 = __pyx_v_l;
        if (__pyx_t_14 < 0) __pyx_t_14 += __pyx_v_self->state_weights.shape[0];

        /* "pomegranate/hmm.pyx":1806
 *                         self.state_weights[l])
 *                 else:
 *                     e[l*n + i] = ((<Model>distributions[l])._log_probability( sequence[i] ) +             # <<<<<<<<<<<<<<
 *                         self.state_weights[l])
 * 
 */
        (__pyx_v_e[((__pyx_v_l * __pyx_v_n) + __pyx_v_i)]) = (((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])) + (*((double *) ( /* dim=0 */ (__pyx_v_self->state_weights.data + __pyx_t_14 * __pyx_v_self->state_weights.strides[0]) ))));
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  /* "pomegranate/hmm.pyx":1809
 *                         self.state_weights[l])
 * 
 *         f = self._forward( sequence, n, e )             # <<<<<<<<<<<<<<
 *         b = self._backward( sequence, n, e )
 * 
 */
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  /* "pomegranate/hmm.pyx":1810
 * 
 *         f = self._forward( sequence, n, e )
 *         b = self._backward( sequence, n, e )             # <<<<<<<<<<<<<<
 * 
 *         if self.finite == 1:
 */
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  /* "pomegranate/hmm.pyx":1812
 *         b = self._backward( sequence, n, e )
 * 
 *         if self.finite == 1:             # <<<<<<<<<<<<<<
 *             log_sequence_probability = f[n*m + self.end_index]
 *         else:
 */
  __pyx_t_12 = ((__pyx_v_self->finite == 1) != 0);
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    /* "pomegranate/hmm.pyx":1813
 * 
 *         if self.finite == 1:
 *             log_sequence_probability = f[n*m + self.end_index]             # <<<<<<<<<<<<<<
 *         else:
 *             log_sequence_probability = NEGINF
 */
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    /* "pomegranate/hmm.pyx":1812
 *         b = self._backward( sequence, n, e )
 * 
 *         if self.finite == 1:             # <<<<<<<<<<<<<<
 *             log_sequence_probability = f[n*m + self.end_index]
 *         else:
 */
    goto __pyx_L8;
  }

  /* "pomegranate/hmm.pyx":1815
 *             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":1816
 *         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_3 = __pyx_v_self->silent_start;
    for (__pyx_t_9 = 0; __pyx_t_9 < __pyx_t_3; __pyx_t_9+=1) {
      __pyx_v_i = __pyx_t_9;

      /* "pomegranate/hmm.pyx":1817
 *             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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    }
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  /* "pomegranate/hmm.pyx":1821
 * 
 *         # Is the sequence impossible? If so, don't bother calculating any more.
 *         if log_sequence_probability == NEGINF:             # <<<<<<<<<<<<<<
 *             print( "Warning: Sequence is impossible." )
 *             return ( None, None )
 */
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    /* "pomegranate/hmm.pyx":1822
 *         # Is the sequence impossible? If so, don't bother calculating any more.
 *         if log_sequence_probability == NEGINF:
 *             print( "Warning: Sequence is impossible." )             # <<<<<<<<<<<<<<
 *             return ( None, None )
 * 
 */
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    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;

    /* "pomegranate/hmm.pyx":1823
 *         if log_sequence_probability == NEGINF:
 *             print( "Warning: Sequence is impossible." )
 *             return ( None, None )             # <<<<<<<<<<<<<<
 * 
 *         for k in range( m ):
 */
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    goto __pyx_L0;

    /* "pomegranate/hmm.pyx":1821
 * 
 *         # Is the sequence impossible? If so, don't bother calculating any more.
 *         if log_sequence_probability == NEGINF:             # <<<<<<<<<<<<<<
 *             print( "Warning: Sequence is impossible." )
 *             return ( None, None )
 */
  }

  /* "pomegranate/hmm.pyx":1825
 *             return ( None, None )
 * 
 *         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_3 = __pyx_v_m;
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    __pyx_v_k = __pyx_t_9;

    /* "pomegranate/hmm.pyx":1827
 *         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_11;

      /* "pomegranate/hmm.pyx":1828
 *             # 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
 */
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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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        /* "pomegranate/hmm.pyx":1830
 *                 li = self.out_transitions[l]
 *                 if li >= self.silent_start:
 *                     continue             # <<<<<<<<<<<<<<
 * 
 *                 # For each state we could go to (and emit a character)
 */
        goto __pyx_L14_continue;

        /* "pomegranate/hmm.pyx":1829
 *             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":1835
 *                 # Sum up probabilities that we later normalize by
 *                 # probability of sequence.
 *                 log_transition_emission_probability_sum = NEGINF             # <<<<<<<<<<<<<<
 * 
 *                 for i in range( n ):
 */
      __pyx_v_log_transition_emission_probability_sum = (-Py_HUGE_VAL);

      /* "pomegranate/hmm.pyx":1837
 *                 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_15 = __pyx_v_n;
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        __pyx_v_i = __pyx_t_16;

        /* "pomegranate/hmm.pyx":1842
 *                     # 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] + self.out_transition_log_probabilities[l] +
 */
        __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":1850
 *                 # this sequence, and add as this sequence's contribution to
 *                 # the expected transitions matrix's k, l entry.
 *                 expected_transitions[k*m + li] += cexp(             # <<<<<<<<<<<<<<
 *                     log_transition_emission_probability_sum -
 *                     log_sequence_probability )
 */
      __pyx_t_15 = ((__pyx_v_k * __pyx_v_m) + __pyx_v_li);

      /* "pomegranate/hmm.pyx":1851
 *                 # the expected transitions matrix's k, l entry.
 *                 expected_transitions[k*m + li] += cexp(
 *                     log_transition_emission_probability_sum -             # <<<<<<<<<<<<<<
 *                     log_sequence_probability )
 * 
 */
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    /* "pomegranate/hmm.pyx":1854
 *                     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_10 = (__pyx_v_out_edges[(__pyx_v_k + 1)]);
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      __pyx_v_l = __pyx_t_11;

      /* "pomegranate/hmm.pyx":1855
 * 
 *             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":1856
 *             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":1857
 *                 li = self.out_transitions[l]
 *                 if li < self.silent_start:
 *                     continue             # <<<<<<<<<<<<<<
 * 
 *                 # For each silent state we can go to on the same character
 */
        goto __pyx_L19_continue;

        /* "pomegranate/hmm.pyx":1856
 *             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":1863
 *                 # 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
 */
      __pyx_v_log_transition_emission_probability_sum = (-Py_HUGE_VAL);

      /* "pomegranate/hmm.pyx":1864
 * 
 *                 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
 */
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 * 
 *         for i in range( m ):
 */
        if (unlikely(!__pyx_v_self->state_weights.memview)) {PyErr_SetString(PyExc_AttributeError,"Memoryview is not initialized");{__pyx_filename = __pyx_f[0]; __pyx_lineno = 1997; __pyx_clineno = __LINE__; goto __pyx_L1_error;}}
        __pyx_t_8 = __pyx_v_l;
        if (__pyx_t_8 < 0) __pyx_t_8 += __pyx_v_self->state_weights.shape[0];

        /* "pomegranate/hmm.pyx":1996
 *                         self.state_weights[l])
 *                 else:
 *                     e[l*n + i] = ((<Model>distributions[l])._log_probability( sequence[i] ) +             # <<<<<<<<<<<<<<
 *                         self.state_weights[l])
 * 
 */
        (__pyx_v_e[((__pyx_v_l * __pyx_v_n) + __pyx_v_i)]) = (((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])) + (*((double *) ( /* dim=0 */ (__pyx_v_self->state_weights.data + __pyx_t_8 * __pyx_v_self->state_weights.strides[0]) ))));
      }
      __pyx_L7:;
    }
  }

  /* "pomegranate/hmm.pyx":1999
 *                         self.state_weights[l])
 * 
 *         for i in range( m ):             # <<<<<<<<<<<<<<
 *             v[i] = NEGINF
 *         v[self.start_index] = 0
 */
  __pyx_t_1 = __pyx_v_m;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_1; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "pomegranate/hmm.pyx":2000
 * 
 *         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":2001
 *         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":2003
 *         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;
  for (__pyx_t_3 = __pyx_v_self->silent_start; __pyx_t_3 < __pyx_t_1; __pyx_t_3+=1) {
    __pyx_v_l = __pyx_t_3;

    /* "pomegranate/hmm.pyx":2007
 *             # 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_6 = ((__pyx_v_l == __pyx_v_self->start_index) != 0);
    if (__pyx_t_6) {

      /* "pomegranate/hmm.pyx":2009
 *             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_L10_continue;

      /* "pomegranate/hmm.pyx":2007
 *             # 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":2011
 *                 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_4 = (__pyx_v_in_edges[(__pyx_v_l + 1)]);
    for (__pyx_t_5 = (__pyx_v_in_edges[__pyx_v_l]); __pyx_t_5 < __pyx_t_4; __pyx_t_5+=1) {
      __pyx_v_k = __pyx_t_5;

      /* "pomegranate/hmm.pyx":2012
 * 
 *             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":2013
 *             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_9 = ((__pyx_v_ki < __pyx_v_self->silent_start) != 0);
      if (!__pyx_t_9) {
      } else {
        __pyx_t_6 = __pyx_t_9;
        goto __pyx_L16_bool_binop_done;
      }
      __pyx_t_9 = ((__pyx_v_ki >= __pyx_v_l) != 0);
      __pyx_t_6 = __pyx_t_9;
      __pyx_L16_bool_binop_done:;
      if (__pyx_t_6) {

        /* "pomegranate/hmm.pyx":2014
 *                 ki = self.in_transitions[k]
 *                 if ki < self.silent_start or ki >= l:
 *                     continue             # <<<<<<<<<<<<<<
 * 
 *                 # For each current-step preceeding silent state k
 */
        goto __pyx_L13_continue;

        /* "pomegranate/hmm.pyx":2013
 *             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":2018
 *                 # For each current-step preceeding 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":2020
 *                 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_6 = ((__pyx_v_state_log_probability > (__pyx_v_v[__pyx_v_l])) != 0);
      if (__pyx_t_6) {

        /* "pomegranate/hmm.pyx":2021
 * 
 *                 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":2022
 *                 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":2023
 *                     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":2020
 *                 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_L13_continue:;
    }
    __pyx_L10_continue:;
  }

  /* "pomegranate/hmm.pyx":2025
 *                     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;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_1; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "pomegranate/hmm.pyx":2026
 * 
 *         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_4 = __pyx_v_self->silent_start;
    for (__pyx_t_5 = 0; __pyx_t_5 < __pyx_t_4; __pyx_t_5+=1) {
      __pyx_v_l = __pyx_t_5;

      /* "pomegranate/hmm.pyx":2029
 *                 # 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":2031
 *                 v[(i+1)*m + l] = NEGINF
 * 
 *                 for k in range( in_edges[l], in_edges[l+1] ):             # <<<<<<<<<<<<<<
 *                     ki = self.in_transitions[k]
 * 
 */
      __pyx_t_10 = (__pyx_v_in_edges[(__pyx_v_l + 1)]);
      for (__pyx_t_11 = (__pyx_v_in_edges[__pyx_v_l]); __pyx_t_11 < __pyx_t_10; __pyx_t_11+=1) {
        __pyx_v_k = __pyx_t_11;

        /* "pomegranate/hmm.pyx":2032
 * 
 *                 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":2037
 *                     # 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":2039
 *                         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_6 = ((__pyx_v_state_log_probability > (__pyx_v_v[(((__pyx_v_i + 1) * __pyx_v_m) + __pyx_v_l)])) != 0);
        if (__pyx_t_6) {

          /* "pomegranate/hmm.pyx":2040
 * 
 *                     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":2041
 *                     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":2042
 *                         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":2039
 *                         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":2044
 *                         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_4 = __pyx_v_m;
    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":2048
 *                 # 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":2050
 *                 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_10 = (__pyx_v_in_edges[(__pyx_v_l + 1)]);
      for (__pyx_t_11 = (__pyx_v_in_edges[__pyx_v_l]); __pyx_t_11 < __pyx_t_10; __pyx_t_11+=1) {
        __pyx_v_k = __pyx_t_11;

        /* "pomegranate/hmm.pyx":2051
 * 
 *                 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":2052
 *                 for k in range( in_edges[l], in_edges[l+1] ):
 *                     ki = self.in_transitions[k]
 *                     if ki >= self.silent_start:             # <<<<<<<<<<<<<<
 *                         continue
 * 
 */
        __pyx_t_6 = ((__pyx_v_ki >= __pyx_v_self->silent_start) != 0);
        if (__pyx_t_6) {

          /* "pomegranate/hmm.pyx":2053
 *                     ki = self.in_transitions[k]
 *                     if ki >= self.silent_start:
 *                         continue             # <<<<<<<<<<<<<<
 * 
 *                     # For each current-step non-silent state k
 */
          goto __pyx_L28_continue;

          /* "pomegranate/hmm.pyx":2052
 *                 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":2057
 *                     # 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":2060
 *                         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_6 = ((__pyx_v_state_log_probability > (__pyx_v_v[(((__pyx_v_i + 1) * __pyx_v_m) + __pyx_v_l)])) != 0);
        if (__pyx_t_6) {

          /* "pomegranate/hmm.pyx":2061
 * 
 *                     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":2062
 *                     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":2063
 *                         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":2060
 *                         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_L28_continue:;
      }
    }

    /* "pomegranate/hmm.pyx":2065
 *                         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_4 = __pyx_v_m;
    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":2070
 *                 # 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_10 = (__pyx_v_in_edges[(__pyx_v_l + 1)]);
      for (__pyx_t_11 = (__pyx_v_in_edges[__pyx_v_l]); __pyx_t_11 < __pyx_t_10; __pyx_t_11+=1) {
        __pyx_v_k = __pyx_t_11;

        /* "pomegranate/hmm.pyx":2071
 * 
 *                 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":2072
 *                 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_9 = ((__pyx_v_ki < __pyx_v_self->silent_start) != 0);
        if (!__pyx_t_9) {
        } else {
          __pyx_t_6 = __pyx_t_9;
          goto __pyx_L37_bool_binop_done;
        }
        __pyx_t_9 = ((__pyx_v_ki >= __pyx_v_l) != 0);
        __pyx_t_6 = __pyx_t_9;
        __pyx_L37_bool_binop_done:;
        if (__pyx_t_6) {

          /* "pomegranate/hmm.pyx":2073
 *                     ki = self.in_transitions[k]
 *                     if ki < self.silent_start or ki >= l:
 *                         continue             # <<<<<<<<<<<<<<
 * 
 *                     # For each current-step preceeding silent state k
 */
          goto __pyx_L34_continue;

          /* "pomegranate/hmm.pyx":2072
 *                 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":2077
 *                     # For each current-step preceeding 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":2080
 *                         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
 */
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          /* "pomegranate/hmm.pyx":2227
 *             for l in range(self.silent_start):
 *                 for i in range(n):
 *                     if self.multivariate:             # <<<<<<<<<<<<<<
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 *                             self.state_weights[l])
 */
          __pyx_t_3 = (__pyx_v_self->multivariate != 0);
          if (__pyx_t_3) {

            /* "pomegranate/hmm.pyx":2229
 *                     if self.multivariate:
 *                         e[l*n + i] = ((<Model>distributions[l])._mv_log_probability(sequence+i*dim) +
 *                             self.state_weights[l])             # <<<<<<<<<<<<<<
 *                     else:
 *                         e[l*n + i] = ((<Model>distributions[l])._log_probability(sequence[i]) +
 */
            if (unlikely(!__pyx_v_self->state_weights.memview)) {PyErr_SetString(PyExc_AttributeError,"Memoryview is not initialized");{__pyx_filename = __pyx_f[0]; __pyx_lineno = 2229; __pyx_clineno = __LINE__; goto __pyx_L4_error;}}
            __pyx_t_7 = __pyx_v_l;
            if (__pyx_t_7 < 0) __pyx_t_7 += __pyx_v_self->state_weights.shape[0];

            /* "pomegranate/hmm.pyx":2228
 *                 for i in range(n):
 *                     if self.multivariate:
 *                         e[l*n + i] = ((<Model>distributions[l])._mv_log_probability(sequence+i*dim) +             # <<<<<<<<<<<<<<
 *                             self.state_weights[l])
 *                     else:
 */
            (__pyx_v_e[((__pyx_v_l * __pyx_v_n) + __pyx_v_i)]) = (((struct __pyx_vtabstruct_11pomegranate_4base_Model *)((struct __pyx_obj_11pomegranate_4base_Model *)(__pyx_v_distributions[__pyx_v_l]))->__pyx_vtab)->_mv_log_probability(((struct __pyx_obj_11pomegranate_4base_Model *)(__pyx_v_distributions[__pyx_v_l])), (__pyx_v_sequence + (__pyx_v_i * __pyx_v_dim))) + (*((double *) ( /* dim=0 */ (__pyx_v_self->state_weights.data + __pyx_t_7 * __pyx_v_self->state_weights.strides[0]) ))));

            /* "pomegranate/hmm.pyx":2227
 *             for l in range(self.silent_start):
 *                 for i in range(n):
 *                     if self.multivariate:             # <<<<<<<<<<<<<<
 *                         e[l*n + i] = ((<Model>distributions[l])._mv_log_probability(sequence+i*dim) +
 *                             self.state_weights[l])
 */
            goto __pyx_L11;
          }

          /* "pomegranate/hmm.pyx":2231
 *                             self.state_weights[l])
 *                     else:
 *                         e[l*n + i] = ((<Model>distributions[l])._log_probability(sequence[i]) +             # <<<<<<<<<<<<<<
 *                             self.state_weights[l])
 *         else:
 */
          /*else*/ {

            /* "pomegranate/hmm.pyx":2232
 *                     else:
 *                         e[l*n + i] = ((<Model>distributions[l])._log_probability(sequence[i]) +
 *                             self.state_weights[l])             # <<<<<<<<<<<<<<
 *         else:
 *             e = emissions
 */
            if (unlikely(!__pyx_v_self->state_weights.memview)) {PyErr_SetString(PyExc_AttributeError,"Memoryview is not initialized");{__pyx_filename = __pyx_f[0]; __pyx_lineno = 2232; __pyx_clineno = __LINE__; goto __pyx_L4_error;}}
            __pyx_t_8 = __pyx_v_l;
            if (__pyx_t_8 < 0) __pyx_t_8 += __pyx_v_self->state_weights.shape[0];

            /* "pomegranate/hmm.pyx":2231
 *                             self.state_weights[l])
 *                     else:
 *                         e[l*n + i] = ((<Model>distributions[l])._log_probability(sequence[i]) +             # <<<<<<<<<<<<<<
 *                             self.state_weights[l])
 *         else:
 */
            (__pyx_v_e[((__pyx_v_l * __pyx_v_n) + __pyx_v_i)]) = (((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])) + (*((double *) ( /* dim=0 */ (__pyx_v_self->state_weights.data + __pyx_t_8 * __pyx_v_self->state_weights.strides[0]) ))));
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      /* "pomegranate/hmm.pyx":2223
 *         cdef void** distributions = self.distributions_ptr
 * 
 *         if emissions is NULL:             # <<<<<<<<<<<<<<
 *             e = <double*> calloc(n*self.silent_start, sizeof(double))
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 */
      goto __pyx_L6;
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    /* "pomegranate/hmm.pyx":2234
 *                             self.state_weights[l])
 *         else:
 *             e = emissions             # <<<<<<<<<<<<<<
 * 
 *         # Fill in both the F and B DP matrices.
 */
    /*else*/ {
      __pyx_v_e = __pyx_v_emissions;
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    /* "pomegranate/hmm.pyx":2237
 * 
 *         # 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":2238
 *         # Fill in both the F and B DP matrices.
 *         f = self._forward(sequence, n, emissions)
 *         b = self._backward(sequence, n, emissions)             # <<<<<<<<<<<<<<
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 *         # Find out the probability of the sequence
 */
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    /* "pomegranate/hmm.pyx":2241
 * 
 *         # 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":2242
 *         # 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
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      /* "pomegranate/hmm.pyx":2241
 * 
 *         # Find out the probability of the sequence
 *         if self.finite == 1:             # <<<<<<<<<<<<<<
 *             log_sequence_probability = f[n*m + self.end_index]
 *         else:
 */
      goto __pyx_L12;
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    /* "pomegranate/hmm.pyx":2244
 *             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(
 */
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      __pyx_v_log_sequence_probability = (-Py_HUGE_VAL);

      /* "pomegranate/hmm.pyx":2245
 *         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_4;

        /* "pomegranate/hmm.pyx":2246
 *             log_sequence_probability = NEGINF
 *             for i in range( self.silent_start ):
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 */
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      /* "pomegranate/hmm.pyx":2251
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 *         if log_sequence_probability == NEGINF:
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 *                 print( "Warning: Sequence is impossible." )
 * 
 */
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 *                 print( "Warning: Sequence is impossible." )             # <<<<<<<<<<<<<<
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 */
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 */
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      /* "pomegranate/hmm.pyx":2250
 * 
 *         # Is the sequence impossible? If so, don't bother calculating any more.
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 *                 print( "Warning: Sequence is impossible." )
 */
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 *                 print( "Warning: Sequence is impossible." )
 * 
 *         for k in range(m):             # <<<<<<<<<<<<<<
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 *                 for i in range(n):
 */
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      /* "pomegranate/hmm.pyx":2255
 * 
 *         for k in range(m):
 *             if k < self.silent_start:             # <<<<<<<<<<<<<<
 *                 for i in range(n):
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 */
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 */
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 *         for k in range(m):
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 */
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 */
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 *         free(e)
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 */
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 *         free(f)
 *         free(b)
 *         free(e)             # <<<<<<<<<<<<<<
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 *     def predict( self, sequence, algorithm='map' ):
 */
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 */
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  /* "pomegranate/hmm.pyx":2213
 *         return r_ndarray
 * 
 *     cdef void _predict_log_proba( self, double* sequence, double* r, int n,             # <<<<<<<<<<<<<<
 *         double* emissions ) nogil:
 *         cdef int i, k, l, li
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/* "pomegranate/hmm.pyx":2274
 *         free(e)
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 *         if self.d == 0:             # <<<<<<<<<<<<<<
 *             raise ValueError("must bake model before prediction")
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      /* "pomegranate/hmm.pyx":2658
 *         e = <double*> calloc( n*self.silent_start, sizeof(double) )
 *         for l in range( self.silent_start ):
 *             for i in range( n ):             # <<<<<<<<<<<<<<
 *                 if self.multivariate:
 *                     e[l*n + i] = ((<Model>distributions[l])._mv_log_probability( sequence+i*dim ) +
 */
      __pyx_t_5 = __pyx_v_n;
      for (__pyx_t_6 = 0; __pyx_t_6 < __pyx_t_5; __pyx_t_6+=1) {
        __pyx_v_i = __pyx_t_6;

        /* "pomegranate/hmm.pyx":2659
 *         for l in range( self.silent_start ):
 *             for i in range( n ):
 *                 if self.multivariate:             # <<<<<<<<<<<<<<
 *                     e[l*n + i] = ((<Model>distributions[l])._mv_log_probability( sequence+i*dim ) +
 *                         self.state_weights[l])
 */
        __pyx_t_7 = (__pyx_v_self->multivariate != 0);
        if (__pyx_t_7) {

          /* "pomegranate/hmm.pyx":2661
 *                 if self.multivariate:
 *                     e[l*n + i] = ((<Model>distributions[l])._mv_log_probability( sequence+i*dim ) +
 *                         self.state_weights[l])             # <<<<<<<<<<<<<<
 *                 else:
 *                     e[l*n + i] = ((<Model>distributions[l])._log_probability( sequence[i] ) +
 */
          if (unlikely(!__pyx_v_self->state_weights.memview)) {PyErr_SetString(PyExc_AttributeError,"Memoryview is not initialized");{__pyx_filename = __pyx_f[0]; __pyx_lineno = 2661; __pyx_clineno = __LINE__; goto __pyx_L4_error;}}
          __pyx_t_8 = __pyx_v_l;
          if (__pyx_t_8 < 0) __pyx_t_8 += __pyx_v_self->state_weights.shape[0];

          /* "pomegranate/hmm.pyx":2660
 *             for i in range( n ):
 *                 if self.multivariate:
 *                     e[l*n + i] = ((<Model>distributions[l])._mv_log_probability( sequence+i*dim ) +             # <<<<<<<<<<<<<<
 *                         self.state_weights[l])
 *                 else:
 */
          (__pyx_v_e[((__pyx_v_l * __pyx_v_n) + __pyx_v_i)]) = (((struct __pyx_vtabstruct_11pomegranate_4base_Model *)((struct __pyx_obj_11pomegranate_4base_Model *)(__pyx_v_distributions[__pyx_v_l]))->__pyx_vtab)->_mv_log_probability(((struct __pyx_obj_11pomegranate_4base_Model *)(__pyx_v_distributions[__pyx_v_l])), (__pyx_v_sequence + (__pyx_v_i * __pyx_v_dim))) + (*((double *) ( /* dim=0 */ (__pyx_v_self->state_weights.data + __pyx_t_8 * __pyx_v_self->state_weights.strides[0]) ))));

          /* "pomegranate/hmm.pyx":2659
 *         for l in range( self.silent_start ):
 *             for i in range( n ):
 *                 if self.multivariate:             # <<<<<<<<<<<<<<
 *                     e[l*n + i] = ((<Model>distributions[l])._mv_log_probability( sequence+i*dim ) +
 *                         self.state_weights[l])
 */
          goto __pyx_L10;
        }

        /* "pomegranate/hmm.pyx":2663
 *                         self.state_weights[l])
 *                 else:
 *                     e[l*n + i] = ((<Model>distributions[l])._log_probability( sequence[i] ) +             # <<<<<<<<<<<<<<
 *                         self.state_weights[l])
 * 
 */
        /*else*/ {

          /* "pomegranate/hmm.pyx":2664
 *                 else:
 *                     e[l*n + i] = ((<Model>distributions[l])._log_probability( sequence[i] ) +
 *                         self.state_weights[l])             # <<<<<<<<<<<<<<
 * 
 *         f = self._forward( sequence, n, e )
 */
          if (unlikely(!__pyx_v_self->state_weights.memview)) {PyErr_SetString(PyExc_AttributeError,"Memoryview is not initialized");{__pyx_filename = __pyx_f[0]; __pyx_lineno = 2664; __pyx_clineno = __LINE__; goto __pyx_L4_error;}}
          __pyx_t_9 = __pyx_v_l;
          if (__pyx_t_9 < 0) __pyx_t_9 += __pyx_v_self->state_weights.shape[0];

          /* "pomegranate/hmm.pyx":2663
 *                         self.state_weights[l])
 *                 else:
 *                     e[l*n + i] = ((<Model>distributions[l])._log_probability( sequence[i] ) +             # <<<<<<<<<<<<<<
 *                         self.state_weights[l])
 * 
 */
          (__pyx_v_e[((__pyx_v_l * __pyx_v_n) + __pyx_v_i)]) = (((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])) + (*((double *) ( /* dim=0 */ (__pyx_v_self->state_weights.data + __pyx_t_9 * __pyx_v_self->state_weights.strides[0]) ))));
        }
        __pyx_L10:;
      }
    }

    /* "pomegranate/hmm.pyx":2666
 *                         self.state_weights[l])
 * 
 *         f = self._forward( sequence, n, e )             # <<<<<<<<<<<<<<
 *         b = self._backward( sequence, n, e )
 * 
 */
    __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_e);

    /* "pomegranate/hmm.pyx":2667
 * 
 *         f = self._forward( sequence, n, e )
 *         b = self._backward( sequence, n, e )             # <<<<<<<<<<<<<<
 * 
 *         if self.finite == 1:
 */
    __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_e);

    /* "pomegranate/hmm.pyx":2669
 *         b = self._backward( sequence, n, e )
 * 
 *         if self.finite == 1:             # <<<<<<<<<<<<<<
 *             log_sequence_probability = f[n*m + self.end_index]
 *         else:
 */
    __pyx_t_7 = ((__pyx_v_self->finite == 1) != 0);
    if (__pyx_t_7) {

      /* "pomegranate/hmm.pyx":2670
 * 
 *         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":2669
 *         b = self._backward( sequence, n, e )
 * 
 *         if self.finite == 1:             # <<<<<<<<<<<<<<
 *             log_sequence_probability = f[n*m + self.end_index]
 *         else:
 */
      goto __pyx_L11;
    }

    /* "pomegranate/hmm.pyx":2672
 *             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],
 */
    /*else*/ {
      __pyx_v_log_sequence_probability = (-Py_HUGE_VAL);

      /* "pomegranate/hmm.pyx":2673
 *         else:
 *             log_sequence_probability = NEGINF
 *             for i in range( self.silent_start ):             # <<<<<<<<<<<<<<
 *                 log_sequence_probability = pair_lse( f[n*m + i],
 *                     log_sequence_probability )
 */
      __pyx_t_1 = __pyx_v_self->silent_start;
      for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_1; __pyx_t_4+=1) {
        __pyx_v_i = __pyx_t_4;

        /* "pomegranate/hmm.pyx":2674
 *             log_sequence_probability = NEGINF
 *             for i in range( self.silent_start ):
 *                 log_sequence_probability = pair_lse( f[n*m + i],             # <<<<<<<<<<<<<<
 *                     log_sequence_probability )
 * 
 */
        __pyx_v_log_sequence_probability = __pyx_f_11pomegranate_5utils_pair_lse((__pyx_v_f[((__pyx_v_n * __pyx_v_m) + __pyx_v_i)]), __pyx_v_log_sequence_probability);
      }
    }
    __pyx_L11:;

    /* "pomegranate/hmm.pyx":2679
 *         # 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
 */
    __pyx_t_7 = ((__pyx_v_log_sequence_probability != (-Py_HUGE_VAL)) != 0);
    if (__pyx_t_7) {

      /* "pomegranate/hmm.pyx":2680
 *         # 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;
      for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_1; __pyx_t_4+=1) {
        __pyx_v_k = __pyx_t_4;

        /* "pomegranate/hmm.pyx":2682
 *             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:
 */
        __pyx_t_5 = (__pyx_v_out_edges[(__pyx_v_k + 1)]);
        for (__pyx_t_6 = (__pyx_v_out_edges[__pyx_v_k]); __pyx_t_6 < __pyx_t_5; __pyx_t_6+=1) {
          __pyx_v_l = __pyx_t_6;

          /* "pomegranate/hmm.pyx":2683
 *                 # 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":2684
 *                 for l in range( out_edges[k], out_edges[k+1] ):
 *                     li = self.out_transitions[l]
 *                     if li >= self.silent_start:             # <<<<<<<<<<<<<<
 *                         continue
 * 
 */
          __pyx_t_7 = ((__pyx_v_li >= __pyx_v_self->silent_start) != 0);
          if (__pyx_t_7) {

            /* "pomegranate/hmm.pyx":2685
 *                     li = self.out_transitions[l]
 *                     if li >= self.silent_start:
 *                         continue             # <<<<<<<<<<<<<<
 * 
 *                     # For each state we could go to (and emit a character)
 */
            goto __pyx_L17_continue;

            /* "pomegranate/hmm.pyx":2684
 *                 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":2690
 *                     # 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":2691
 *                     # 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_10 = __pyx_v_n;
          for (__pyx_t_11 = 0; __pyx_t_11 < __pyx_t_10; __pyx_t_11+=1) {
            __pyx_v_i = __pyx_t_11;

            /* "pomegranate/hmm.pyx":2696
 *                         # 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":2705
 *                     # 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_10 = __pyx_v_l;

          /* "pomegranate/hmm.pyx":2706
 *                     # 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_10]) = ((__pyx_v_expected_transitions[__pyx_t_10]) + exp((__pyx_v_log_transition_emission_probability_sum - __pyx_v_log_sequence_probability)));
          __pyx_L17_continue:;
        }

        /* "pomegranate/hmm.pyx":2709
 *                         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_5 = (__pyx_v_out_edges[(__pyx_v_k + 1)]);
        for (__pyx_t_6 = (__pyx_v_out_edges[__pyx_v_k]); __pyx_t_6 < __pyx_t_5; __pyx_t_6+=1) {
          __pyx_v_l = __pyx_t_6;

          /* "pomegranate/hmm.pyx":2710
 * 
 *                 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":2711
 *                 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_7 = ((__pyx_v_li < __pyx_v_self->silent_start) != 0);
          if (__pyx_t_7) {

            /* "pomegranate/hmm.pyx":2712
 *                     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_L22_continue;

            /* "pomegranate/hmm.pyx":2711
 *                 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":2716
 *                     # 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
 */
          __pyx_v_log_transition_emission_probability_sum = (-Py_HUGE_VAL);

          /* "pomegranate/hmm.pyx":2717
 *                     # 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_12 = (__pyx_v_n + 1);
          for (__pyx_t_10 = 0; __pyx_t_10 < __pyx_t_12; __pyx_t_10+=1) {
            __pyx_v_i = __pyx_t_10;

            /* "pomegranate/hmm.pyx":2726
 *                         # we use forward and backward entries from the same DP
 *                         # table row, since no character is being emitted.
 *                         log_transition_emission_probability_sum = pair_lse(             # <<<<<<<<<<<<<<
 *                             log_transition_emission_probability_sum,
 *                             f[i*m + k] + self.out_transition_log_probabilities[l]
 */
            __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_b[((__pyx_v_i * __pyx_v_m) + __pyx_v_li)])));
          }

          /* "pomegranate/hmm.pyx":2734
 *                     # 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_10 = __pyx_v_l;

          /* "pomegranate/hmm.pyx":2735
 *                     # 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_10]) = ((__pyx_v_expected_transitions[__pyx_t_10]) + exp((__pyx_v_log_transition_emission_probability_sum - __pyx_v_log_sequence_probability)));
          __pyx_L22_continue:;
        }

        /* "pomegranate/hmm.pyx":2738
 *                         log_sequence_probability )
 * 
 *                 if k < self.silent_start:             # <<<<<<<<<<<<<<
 *                     for i in range( n ):
 *                         # For each symbol that came out
 */
        __pyx_t_7 = ((__pyx_v_k < __pyx_v_self->silent_start) != 0);
        if (__pyx_t_7) {

          /* "pomegranate/hmm.pyx":2739
 * 
 *                 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?
 */
          __pyx_t_5 = __pyx_v_n;
          for (__pyx_t_6 = 0; __pyx_t_6 < __pyx_t_5; __pyx_t_6+=1) {
            __pyx_v_i = __pyx_t_6;

            /* "pomegranate/hmm.pyx":2750
 *                         # docs/HTKBook/node7_mn.html, we really should divide by
 *                         # sequence probability.
 *                         weights[i] = cexp( f[(i+1)*m + k] + b[(i+1)*m + k] -             # <<<<<<<<<<<<<<
 *                             log_sequence_probability ) * weight[0]
 * 
 */
            (__pyx_v_weights[__pyx_v_i]) = (exp((((__pyx_v_f[(((__pyx_v_i + 1) * __pyx_v_m) + __pyx_v_k)]) + (__pyx_v_b[(((__pyx_v_i + 1) * __pyx_v_m) + __pyx_v_k)])) - __pyx_v_log_sequence_probability)) * (__pyx_v_weight[0]));
          }

          /* "pomegranate/hmm.pyx":2753
 *                             log_sequence_probability ) * weight[0]
 * 
 *                     (<Model>distributions[k])._summarize(sequence, weights, n)             # <<<<<<<<<<<<<<
 * 
 *             # Update the master expected transitions vector representing the sparse matrix.
 */
          ((struct __pyx_vtabstruct_11pomegranate_4base_Model *)((struct __pyx_obj_11pomegranate_4base_Model *)(__pyx_v_distributions[__pyx_v_k]))->__pyx_vtab)->_summarize(((struct __pyx_obj_11pomegranate_4base_Model *)(__pyx_v_distributions[__pyx_v_k])), __pyx_v_sequence, __pyx_v_weights, __pyx_v_n);

          /* "pomegranate/hmm.pyx":2738
 *                         log_sequence_probability )
 * 
 *                 if k < self.silent_start:             # <<<<<<<<<<<<<<
 *                     for i in range( n ):
 *                         # For each symbol that came out
 */
        }
      }

      /* "pomegranate/hmm.pyx":2756
 * 
 *             # 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]
 */
      {
          #ifdef WITH_THREAD
          PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
          #endif
          /*try:*/ {

            /* "pomegranate/hmm.pyx":2757
 *             # 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]
 * 
 */
            __pyx_t_1 = __pyx_v_self->__pyx_base.n_edges;
            for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_1; __pyx_t_4+=1) {
              __pyx_v_i = __pyx_t_4;

              /* "pomegranate/hmm.pyx":2758
 *             with gil:
 *                 for i in range(self.n_edges):
 *                     self.expected_transitions[i] += expected_transitions[i] * weight[0]             # <<<<<<<<<<<<<<
 * 
 *         self.summaries += 1
 */
              __pyx_t_5 = __pyx_v_i;
              (__pyx_v_self->expected_transitions[__pyx_t_5]) = ((__pyx_v_self->expected_transitions[__pyx_t_5]) + ((__pyx_v_expected_transitions[__pyx_v_i]) * (__pyx_v_weight[0])));
            }
          }

          /* "pomegranate/hmm.pyx":2756
 * 
 *             # 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]
 */
          /*finally:*/ {
            /*normal exit:*/{
              #ifdef WITH_THREAD
              PyGILState_Release(__pyx_gilstate_save);
              #endif
              goto __pyx_L32;
            }
            __pyx_L32:;
          }
      }

      /* "pomegranate/hmm.pyx":2679
 *         # 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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 * 
 *     cdef double __labeled_summarize( self, double* sequence, int* states,             # <<<<<<<<<<<<<<
 *         double weight, int n, int m ) nogil:
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 */

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) {
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 * 
 *         This assumes that labels are passed in alongside the sequence and will
 */
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 *         cdef int past, present
 * 
 *         cdef int* out_edges = self.out_edge_count             # <<<<<<<<<<<<<<
 *         cdef void** distributions = self.distributions_ptr
 * 
 */
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 * 
 *         cdef int* out_edges = self.out_edge_count
 *         cdef void** distributions = self.distributions_ptr             # <<<<<<<<<<<<<<
 * 
 *         cdef double* transitions = <double*> calloc(m*m, sizeof(double))
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 * 
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 * 
 *         j = 0
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 *         j = 0
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 *         j = 0
 *         for i in range(1, n+m+1):
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 *             present = states[i]
 * 
 */
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      /* "pomegranate/hmm.pyx":2849
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 *             present = states[i]             # <<<<<<<<<<<<<<
 * 
 *             if present == -1:
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 */
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 * 
 *             if present == -1:             # <<<<<<<<<<<<<<
 *                 break
 *             else:
 */
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 * 
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 */
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 * 
 *             if present < self.silent_start:             # <<<<<<<<<<<<<<
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 */
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 * 
 *             if present < self.silent_start:
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 */
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 *                 j += 1             # <<<<<<<<<<<<<<
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 * 
 *             if present < self.silent_start:             # <<<<<<<<<<<<<<
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 */
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            /* "pomegranate/hmm.pyx":2862
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 * 
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 *         with gil:             # <<<<<<<<<<<<<<
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 * 
 *         self.summaries += 1             # <<<<<<<<<<<<<<
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 */
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 * 
 *         self.summaries += 1
 *         free(transitions)             # <<<<<<<<<<<<<<
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 */
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 *         This assumes that labels are passed in alongside the sequence and will
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 * 
 *     cdef double __labeled_summarize( self, double* sequence, int* states,             # <<<<<<<<<<<<<<
 *         double weight, int n, int m ) nogil:
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/* "pomegranate/hmm.pyx":2870
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 *     if isinstance(memview, _memoryviewslice):             # <<<<<<<<<<<<<<
 *         return memoryview_fromslice(dst, new_ndim,
 *                                     memviewsliceobj.to_object_func,
 */
  __pyx_t_1 = __Pyx_TypeCheck(((PyObject *)__pyx_v_memview), __pyx_memoryviewslice_type); 
  __pyx_t_2 = (__pyx_t_1 != 0);
  if (__pyx_t_2) {

    /* "View.MemoryView":735
 * 
 *     if isinstance(memview, _memoryviewslice):
 *         return memoryview_fromslice(dst, new_ndim,             # <<<<<<<<<<<<<<
 *                                     memviewsliceobj.to_object_func,
 *                                     memviewsliceobj.to_dtype_func,
 */
    __Pyx_XDECREF(((PyObject *)__pyx_r));

    /* "View.MemoryView":736
 *     if isinstance(memview, _memoryviewslice):
 *         return memoryview_fromslice(dst, new_ndim,
 *                                     memviewsliceobj.to_object_func,             # <<<<<<<<<<<<<<
 *                                     memviewsliceobj.to_dtype_func,
 *                                     memview.dtype_is_object)
 */
    if (unlikely(!__pyx_v_memviewsliceobj)) { __Pyx_RaiseUnboundLocalError("memviewsliceobj"); {__pyx_filename = __pyx_f[2]; __pyx_lineno = 736; __pyx_clineno = __LINE__; goto __pyx_L1_error;} }

    /* "View.MemoryView":737
 *         return memoryview_fromslice(dst, new_ndim,
 *                                     memviewsliceobj.to_object_func,
 *                                     memviewsliceobj.to_dtype_func,             # <<<<<<<<<<<<<<
 *                                     memview.dtype_is_object)
 *     else:
 */
    if (unlikely(!__pyx_v_memviewsliceobj)) { __Pyx_RaiseUnboundLocalError("memviewsliceobj"); {__pyx_filename = __pyx_f[2]; __pyx_lineno = 737; __pyx_clineno = __LINE__; goto __pyx_L1_error;} }

    /* "View.MemoryView":735
 * 
 *     if isinstance(memview, _memoryviewslice):
 *         return memoryview_fromslice(dst, new_ndim,             # <<<<<<<<<<<<<<
 *                                     memviewsliceobj.to_object_func,
 *                                     memviewsliceobj.to_dtype_func,
 */
    __pyx_t_3 = __pyx_memoryview_fromslice(__pyx_v_dst, __pyx_v_new_ndim, __pyx_v_memviewsliceobj->to_object_func, __pyx_v_memviewsliceobj->to_dtype_func, __pyx_v_memview->dtype_is_object); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[2]; __pyx_lineno = 735; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_3);
    if (!(likely(((__pyx_t_3) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_3, __pyx_memoryview_type))))) {__pyx_filename = __pyx_f[2]; __pyx_lineno = 735; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __pyx_r = ((struct __pyx_memoryview_obj *)__pyx_t_3);
    __pyx_t_3 = 0;
    goto __pyx_L0;

    /* "View.MemoryView":734
 *             new_ndim += 1
 * 
 *     if isinstance(memview, _memoryviewslice):             # <<<<<<<<<<<<<<
 *         return memoryview_fromslice(dst, new_ndim,
 *                                     memviewsliceobj.to_object_func,
 */
  }

  /* "View.MemoryView":740
 *                                     memview.dtype_is_object)
 *     else:
 *         return memoryview_fromslice(dst, new_ndim, NULL, NULL,             # <<<<<<<<<<<<<<
 *                                     memview.dtype_is_object)
 * 
 */
  /*else*/ {
    __Pyx_XDECREF(((PyObject *)__pyx_r));

    /* "View.MemoryView":741
 *     else:
 *         return memoryview_fromslice(dst, new_ndim, NULL, NULL,
 *                                     memview.dtype_is_object)             # <<<<<<<<<<<<<<
 * 
 * 
 */
    __pyx_t_3 = __pyx_memoryview_fromslice(__pyx_v_dst, __pyx_v_new_ndim, NULL, NULL, __pyx_v_memview->dtype_is_object); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[2]; __pyx_lineno = 740; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_3);

    /* "View.MemoryView":740
 *                                     memview.dtype_is_object)
 *     else:
 *         return memoryview_fromslice(dst, new_ndim, NULL, NULL,             # <<<<<<<<<<<<<<
 *                                     memview.dtype_is_object)
 * 
 */
    if (!(likely(((__pyx_t_3) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_3, __pyx_memoryview_type))))) {__pyx_filename = __pyx_f[2]; __pyx_lineno = 740; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __pyx_r = ((struct __pyx_memoryview_obj *)__pyx_t_3);
    __pyx_t_3 = 0;
    goto __pyx_L0;
  }

  /* "View.MemoryView":668
 * 
 * @cname('__pyx_memview_slice')
 * cdef memoryview memview_slice(memoryview memview, object indices):             # <<<<<<<<<<<<<<
 *     cdef int new_ndim = 0, suboffset_dim = -1, dim
 *     cdef bint negative_step
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_9);
  __Pyx_AddTraceback("View.MemoryView.memview_slice", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = 0;
  __pyx_L0:;
  __Pyx_XDECREF((PyObject *)__pyx_v_memviewsliceobj);
  __Pyx_XDECREF(__pyx_v_index);
  __Pyx_XGIVEREF((PyObject *)__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "View.MemoryView":765
 * 
 * @cname('__pyx_memoryview_slice_memviewslice')
 * cdef int slice_memviewslice(             # <<<<<<<<<<<<<<
 *         __Pyx_memviewslice *dst,
 *         Py_ssize_t shape, Py_ssize_t stride, Py_ssize_t suboffset,
 */

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

  /* "View.MemoryView":785
 *     cdef bint negative_step
 * 
 *     if not is_slice:             # <<<<<<<<<<<<<<
 * 
 *         if start < 0:
 */
  __pyx_t_1 = ((!(__pyx_v_is_slice != 0)) != 0);
  if (__pyx_t_1) {

    /* "View.MemoryView":787
 *     if not is_slice:
 * 
 *         if start < 0:             # <<<<<<<<<<<<<<
 *             start += shape
 *         if not 0 <= start < shape:
 */
    __pyx_t_1 = ((__pyx_v_start < 0) != 0);
    if (__pyx_t_1) {

      /* "View.MemoryView":788
 * 
 *         if start < 0:
 *             start += shape             # <<<<<<<<<<<<<<
 *         if not 0 <= start < shape:
 *             _err_dim(IndexError, "Index out of bounds (axis %d)", dim)
 */
      __pyx_v_start = (__pyx_v_start + __pyx_v_shape);

      /* "View.MemoryView":787
 *     if not is_slice:
 * 
 *         if start < 0:             # <<<<<<<<<<<<<<
 *             start += shape
 *         if not 0 <= start < shape:
 */
    }

    /* "View.MemoryView":789
 *         if start < 0:
 *             start += shape
 *         if not 0 <= start < shape:             # <<<<<<<<<<<<<<
 *             _err_dim(IndexError, "Index out of bounds (axis %d)", dim)
 *     else:
 */
    __pyx_t_1 = (0 <= __pyx_v_start);
    if (__pyx_t_1) {
      __pyx_t_1 = (__pyx_v_start < __pyx_v_shape);
    }
    __pyx_t_2 = ((!(__pyx_t_1 != 0)) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":790
 *             start += shape
 *         if not 0 <= start < shape:
 *             _err_dim(IndexError, "Index out of bounds (axis %d)", dim)             # <<<<<<<<<<<<<<
 *     else:
 * 
 */
      __pyx_t_3 = __pyx_memoryview_err_dim(__pyx_builtin_IndexError, __pyx_k_Index_out_of_bounds_axis_d, __pyx_v_dim); if (unlikely(__pyx_t_3 == -1)) {__pyx_filename = __pyx_f[2]; __pyx_lineno = 790; __pyx_clineno = __LINE__; goto __pyx_L1_error;}

      /* "View.MemoryView":789
 *         if start < 0:
 *             start += shape
 *         if not 0 <= start < shape:             # <<<<<<<<<<<<<<
 *             _err_dim(IndexError, "Index out of bounds (axis %d)", dim)
 *     else:
 */
    }

    /* "View.MemoryView":785
 *     cdef bint negative_step
 * 
 *     if not is_slice:             # <<<<<<<<<<<<<<
 * 
 *         if start < 0:
 */
    goto __pyx_L3;
  }

  /* "View.MemoryView":793
 *     else:
 * 
 *         negative_step = have_step != 0 and step < 0             # <<<<<<<<<<<<<<
 * 
 *         if have_step and step == 0:
 */
  /*else*/ {
    __pyx_t_1 = ((__pyx_v_have_step != 0) != 0);
    if (__pyx_t_1) {
    } else {
      __pyx_t_2 = __pyx_t_1;
      goto __pyx_L6_bool_binop_done;
    }
    __pyx_t_1 = ((__pyx_v_step < 0) != 0);
    __pyx_t_2 = __pyx_t_1;
    __pyx_L6_bool_binop_done:;
    __pyx_v_negative_step = __pyx_t_2;

    /* "View.MemoryView":795
 *         negative_step = have_step != 0 and step < 0
 * 
 *         if have_step and step == 0:             # <<<<<<<<<<<<<<
 *             _err_dim(ValueError, "Step may not be zero (axis %d)", dim)
 * 
 */
    __pyx_t_1 = (__pyx_v_have_step != 0);
    if (__pyx_t_1) {
    } else {
      __pyx_t_2 = __pyx_t_1;
      goto __pyx_L9_bool_binop_done;
    }
    __pyx_t_1 = ((__pyx_v_step == 0) != 0);
    __pyx_t_2 = __pyx_t_1;
    __pyx_L9_bool_binop_done:;
    if (__pyx_t_2) {

      /* "View.MemoryView":796
 * 
 *         if have_step and step == 0:
 *             _err_dim(ValueError, "Step may not be zero (axis %d)", dim)             # <<<<<<<<<<<<<<
 * 
 * 
 */
      __pyx_t_3 = __pyx_memoryview_err_dim(__pyx_builtin_ValueError, __pyx_k_Step_may_not_be_zero_axis_d, __pyx_v_dim); if (unlikely(__pyx_t_3 == -1)) {__pyx_filename = __pyx_f[2]; __pyx_lineno = 796; __pyx_clineno = __LINE__; goto __pyx_L1_error;}

      /* "View.MemoryView":795
 *         negative_step = have_step != 0 and step < 0
 * 
 *         if have_step and step == 0:             # <<<<<<<<<<<<<<
 *             _err_dim(ValueError, "Step may not be zero (axis %d)", dim)
 * 
 */
    }

    /* "View.MemoryView":799
 * 
 * 
 *         if have_start:             # <<<<<<<<<<<<<<
 *             if start < 0:
 *                 start += shape
 */
    __pyx_t_2 = (__pyx_v_have_start != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":800
 * 
 *         if have_start:
 *             if start < 0:             # <<<<<<<<<<<<<<
 *                 start += shape
 *                 if start < 0:
 */
      __pyx_t_2 = ((__pyx_v_start < 0) != 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":801
 *         if have_start:
 *             if start < 0:
 *                 start += shape             # <<<<<<<<<<<<<<
 *                 if start < 0:
 *                     start = 0
 */
        __pyx_v_start = (__pyx_v_start + __pyx_v_shape);

        /* "View.MemoryView":802
 *             if start < 0:
 *                 start += shape
 *                 if start < 0:             # <<<<<<<<<<<<<<
 *                     start = 0
 *             elif start >= shape:
 */
        __pyx_t_2 = ((__pyx_v_start < 0) != 0);
        if (__pyx_t_2) {

          /* "View.MemoryView":803
 *                 start += shape
 *                 if start < 0:
 *                     start = 0             # <<<<<<<<<<<<<<
 *             elif start >= shape:
 *                 if negative_step:
 */
          __pyx_v_start = 0;

          /* "View.MemoryView":802
 *             if start < 0:
 *                 start += shape
 *                 if start < 0:             # <<<<<<<<<<<<<<
 *                     start = 0
 *             elif start >= shape:
 */
        }

        /* "View.MemoryView":800
 * 
 *         if have_start:
 *             if start < 0:             # <<<<<<<<<<<<<<
 *                 start += shape
 *                 if start < 0:
 */
        goto __pyx_L12;
      }

      /* "View.MemoryView":804
 *                 if start < 0:
 *                     start = 0
 *             elif start >= shape:             # <<<<<<<<<<<<<<
 *                 if negative_step:
 *                     start = shape - 1
 */
      __pyx_t_2 = ((__pyx_v_start >= __pyx_v_shape) != 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":805
 *                     start = 0
 *             elif start >= shape:
 *                 if negative_step:             # <<<<<<<<<<<<<<
 *                     start = shape - 1
 *                 else:
 */
        __pyx_t_2 = (__pyx_v_negative_step != 0);
        if (__pyx_t_2) {

          /* "View.MemoryView":806
 *             elif start >= shape:
 *                 if negative_step:
 *                     start = shape - 1             # <<<<<<<<<<<<<<
 *                 else:
 *                     start = shape
 */
          __pyx_v_start = (__pyx_v_shape - 1);

          /* "View.MemoryView":805
 *                     start = 0
 *             elif start >= shape:
 *                 if negative_step:             # <<<<<<<<<<<<<<
 *                     start = shape - 1
 *                 else:
 */
          goto __pyx_L14;
        }

        /* "View.MemoryView":808
 *                     start = shape - 1
 *                 else:
 *                     start = shape             # <<<<<<<<<<<<<<
 *         else:
 *             if negative_step:
 */
        /*else*/ {
          __pyx_v_start = __pyx_v_shape;
        }
        __pyx_L14:;

        /* "View.MemoryView":804
 *                 if start < 0:
 *                     start = 0
 *             elif start >= shape:             # <<<<<<<<<<<<<<
 *                 if negative_step:
 *                     start = shape - 1
 */
      }
      __pyx_L12:;

      /* "View.MemoryView":799
 * 
 * 
 *         if have_start:             # <<<<<<<<<<<<<<
 *             if start < 0:
 *                 start += shape
 */
      goto __pyx_L11;
    }

    /* "View.MemoryView":810
 *                     start = shape
 *         else:
 *             if negative_step:             # <<<<<<<<<<<<<<
 *                 start = shape - 1
 *             else:
 */
    /*else*/ {
      __pyx_t_2 = (__pyx_v_negative_step != 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":811
 *         else:
 *             if negative_step:
 *                 start = shape - 1             # <<<<<<<<<<<<<<
 *             else:
 *                 start = 0
 */
        __pyx_v_start = (__pyx_v_shape - 1);

        /* "View.MemoryView":810
 *                     start = shape
 *         else:
 *             if negative_step:             # <<<<<<<<<<<<<<
 *                 start = shape - 1
 *             else:
 */
        goto __pyx_L15;
      }

      /* "View.MemoryView":813
 *                 start = shape - 1
 *             else:
 *                 start = 0             # <<<<<<<<<<<<<<
 * 
 *         if have_stop:
 */
      /*else*/ {
        __pyx_v_start = 0;
      }
      __pyx_L15:;
    }
    __pyx_L11:;

    /* "View.MemoryView":815
 *                 start = 0
 * 
 *         if have_stop:             # <<<<<<<<<<<<<<
 *             if stop < 0:
 *                 stop += shape
 */
    __pyx_t_2 = (__pyx_v_have_stop != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":816
 * 
 *         if have_stop:
 *             if stop < 0:             # <<<<<<<<<<<<<<
 *                 stop += shape
 *                 if stop < 0:
 */
      __pyx_t_2 = ((__pyx_v_stop < 0) != 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":817
 *         if have_stop:
 *             if stop < 0:
 *                 stop += shape             # <<<<<<<<<<<<<<
 *                 if stop < 0:
 *                     stop = 0
 */
        __pyx_v_stop = (__pyx_v_stop + __pyx_v_shape);

        /* "View.MemoryView":818
 *             if stop < 0:
 *                 stop += shape
 *                 if stop < 0:             # <<<<<<<<<<<<<<
 *                     stop = 0
 *             elif stop > shape:
 */
        __pyx_t_2 = ((__pyx_v_stop < 0) != 0);
        if (__pyx_t_2) {

          /* "View.MemoryView":819
 *                 stop += shape
 *                 if stop < 0:
 *                     stop = 0             # <<<<<<<<<<<<<<
 *             elif stop > shape:
 *                 stop = shape
 */
          __pyx_v_stop = 0;

          /* "View.MemoryView":818
 *             if stop < 0:
 *                 stop += shape
 *                 if stop < 0:             # <<<<<<<<<<<<<<
 *                     stop = 0
 *             elif stop > shape:
 */
        }

        /* "View.MemoryView":816
 * 
 *         if have_stop:
 *             if stop < 0:             # <<<<<<<<<<<<<<
 *                 stop += shape
 *                 if stop < 0:
 */
        goto __pyx_L17;
      }

      /* "View.MemoryView":820
 *                 if stop < 0:
 *                     stop = 0
 *             elif stop > shape:             # <<<<<<<<<<<<<<
 *                 stop = shape
 *         else:
 */
      __pyx_t_2 = ((__pyx_v_stop > __pyx_v_shape) != 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":821
 *                     stop = 0
 *             elif stop > shape:
 *                 stop = shape             # <<<<<<<<<<<<<<
 *         else:
 *             if negative_step:
 */
        __pyx_v_stop = __pyx_v_shape;

        /* "View.MemoryView":820
 *                 if stop < 0:
 *                     stop = 0
 *             elif stop > shape:             # <<<<<<<<<<<<<<
 *                 stop = shape
 *         else:
 */
      }
      __pyx_L17:;

      /* "View.MemoryView":815
 *                 start = 0
 * 
 *         if have_stop:             # <<<<<<<<<<<<<<
 *             if stop < 0:
 *                 stop += shape
 */
      goto __pyx_L16;
    }

    /* "View.MemoryView":823
 *                 stop = shape
 *         else:
 *             if negative_step:             # <<<<<<<<<<<<<<
 *                 stop = -1
 *             else:
 */
    /*else*/ {
      __pyx_t_2 = (__pyx_v_negative_step != 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":824
 *         else:
 *             if negative_step:
 *                 stop = -1             # <<<<<<<<<<<<<<
 *             else:
 *                 stop = shape
 */
        __pyx_v_stop = -1L;

        /* "View.MemoryView":823
 *                 stop = shape
 *         else:
 *             if negative_step:             # <<<<<<<<<<<<<<
 *                 stop = -1
 *             else:
 */
        goto __pyx_L19;
      }

      /* "View.MemoryView":826
 *                 stop = -1
 *             else:
 *                 stop = shape             # <<<<<<<<<<<<<<
 * 
 *         if not have_step:
 */
      /*else*/ {
        __pyx_v_stop = __pyx_v_shape;
      }
      __pyx_L19:;
    }
    __pyx_L16:;

    /* "View.MemoryView":828
 *                 stop = shape
 * 
 *         if not have_step:             # <<<<<<<<<<<<<<
 *             step = 1
 * 
 */
    __pyx_t_2 = ((!(__pyx_v_have_step != 0)) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":829
 * 
 *         if not have_step:
 *             step = 1             # <<<<<<<<<<<<<<
 * 
 * 
 */
      __pyx_v_step = 1;

      /* "View.MemoryView":828
 *                 stop = shape
 * 
 *         if not have_step:             # <<<<<<<<<<<<<<
 *             step = 1
 * 
 */
    }

    /* "View.MemoryView":833
 * 
 *         with cython.cdivision(True):
 *             new_shape = (stop - start) // step             # <<<<<<<<<<<<<<
 * 
 *             if (stop - start) - step * new_shape:
 */
    __pyx_v_new_shape = ((__pyx_v_stop - __pyx_v_start) / __pyx_v_step);

    /* "View.MemoryView":835
 *             new_shape = (stop - start) // step
 * 
 *             if (stop - start) - step * new_shape:             # <<<<<<<<<<<<<<
 *                 new_shape += 1
 * 
 */
    __pyx_t_2 = (((__pyx_v_stop - __pyx_v_start) - (__pyx_v_step * __pyx_v_new_shape)) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":836
 * 
 *             if (stop - start) - step * new_shape:
 *                 new_shape += 1             # <<<<<<<<<<<<<<
 * 
 *         if new_shape < 0:
 */
      __pyx_v_new_shape = (__pyx_v_new_shape + 1);

      /* "View.MemoryView":835
 *             new_shape = (stop - start) // step
 * 
 *             if (stop - start) - step * new_shape:             # <<<<<<<<<<<<<<
 *                 new_shape += 1
 * 
 */
    }

    /* "View.MemoryView":838
 *                 new_shape += 1
 * 
 *         if new_shape < 0:             # <<<<<<<<<<<<<<
 *             new_shape = 0
 * 
 */
    __pyx_t_2 = ((__pyx_v_new_shape < 0) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":839
 * 
 *         if new_shape < 0:
 *             new_shape = 0             # <<<<<<<<<<<<<<
 * 
 * 
 */
      __pyx_v_new_shape = 0;

      /* "View.MemoryView":838
 *                 new_shape += 1
 * 
 *         if new_shape < 0:             # <<<<<<<<<<<<<<
 *             new_shape = 0
 * 
 */
    }

    /* "View.MemoryView":842
 * 
 * 
 *         dst.strides[new_ndim] = stride * step             # <<<<<<<<<<<<<<
 *         dst.shape[new_ndim] = new_shape
 *         dst.suboffsets[new_ndim] = suboffset
 */
    (__pyx_v_dst->strides[__pyx_v_new_ndim]) = (__pyx_v_stride * __pyx_v_step);

    /* "View.MemoryView":843
 * 
 *         dst.strides[new_ndim] = stride * step
 *         dst.shape[new_ndim] = new_shape             # <<<<<<<<<<<<<<
 *         dst.suboffsets[new_ndim] = suboffset
 * 
 */
    (__pyx_v_dst->shape[__pyx_v_new_ndim]) = __pyx_v_new_shape;

    /* "View.MemoryView":844
 *         dst.strides[new_ndim] = stride * step
 *         dst.shape[new_ndim] = new_shape
 *         dst.suboffsets[new_ndim] = suboffset             # <<<<<<<<<<<<<<
 * 
 * 
 */
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 * 
 */
  __pyx_t_5 = __pyx_memoryview_fromslice((__pyx_v_memviewslice[0]), __pyx_v_memview->view.ndim, __pyx_v_to_object_func, __pyx_v_to_dtype_func, __pyx_v_memview->dtype_is_object); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[2]; __pyx_lineno = 1057; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_5);
  __pyx_r = __pyx_t_5;
  __pyx_t_5 = 0;
  goto __pyx_L0;

  /* "View.MemoryView":1043
 * 
 * @cname('__pyx_memoryview_copy_object_from_slice')
 * cdef memoryview_copy_from_slice(memoryview memview, __Pyx_memviewslice *memviewslice):             # <<<<<<<<<<<<<<
 *     """
 *     Create a new memoryview object from a given memoryview object and slice.
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_AddTraceback("View.MemoryView.memoryview_copy_from_slice", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = 0;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "View.MemoryView":1065
 * 
 * 
 * cdef Py_ssize_t abs_py_ssize_t(Py_ssize_t arg) nogil:             # <<<<<<<<<<<<<<
 *     if arg < 0:
 *         return -arg
 */

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

  /* "View.MemoryView":1066
 * 
 * cdef Py_ssize_t abs_py_ssize_t(Py_ssize_t arg) nogil:
 *     if arg < 0:             # <<<<<<<<<<<<<<
 *         return -arg
 *     else:
 */
  __pyx_t_1 = ((__pyx_v_arg < 0) != 0);
  if (__pyx_t_1) {

    /* "View.MemoryView":1067
 * cdef Py_ssize_t abs_py_ssize_t(Py_ssize_t arg) nogil:
 *     if arg < 0:
 *         return -arg             # <<<<<<<<<<<<<<
 *     else:
 *         return arg
 */
    __pyx_r = (-__pyx_v_arg);
    goto __pyx_L0;

    /* "View.MemoryView":1066
 * 
 * cdef Py_ssize_t abs_py_ssize_t(Py_ssize_t arg) nogil:
 *     if arg < 0:             # <<<<<<<<<<<<<<
 *         return -arg
 *     else:
 */
  }

  /* "View.MemoryView":1069
 *         return -arg
 *     else:
 *         return arg             # <<<<<<<<<<<<<<
 * 
 * @cname('__pyx_get_best_slice_order')
 */
  /*else*/ {
    __pyx_r = __pyx_v_arg;
    goto __pyx_L0;
  }

  /* "View.MemoryView":1065
 * 
 * 
 * cdef Py_ssize_t abs_py_ssize_t(Py_ssize_t arg) nogil:             # <<<<<<<<<<<<<<
 *     if arg < 0:
 *         return -arg
 */

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

/* "View.MemoryView":1072
 * 
 * @cname('__pyx_get_best_slice_order')
 * cdef char get_best_order(__Pyx_memviewslice *mslice, int ndim) nogil:             # <<<<<<<<<<<<<<
 *     """
 *     Figure out the best memory access order for a given slice.
 */

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

  /* "View.MemoryView":1077
 *     """
 *     cdef int i
 *     cdef Py_ssize_t c_stride = 0             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t f_stride = 0
 * 
 */
  __pyx_v_c_stride = 0;

  /* "View.MemoryView":1078
 *     cdef int i
 *     cdef Py_ssize_t c_stride = 0
 *     cdef Py_ssize_t f_stride = 0             # <<<<<<<<<<<<<<
 * 
 *     for i in range(ndim - 1, -1, -1):
 */
  __pyx_v_f_stride = 0;

  /* "View.MemoryView":1080
 *     cdef Py_ssize_t f_stride = 0
 * 
 *     for i in range(ndim - 1, -1, -1):             # <<<<<<<<<<<<<<
 *         if mslice.shape[i] > 1:
 *             c_stride = mslice.strides[i]
 */
  for (__pyx_t_1 = (__pyx_v_ndim - 1); __pyx_t_1 > -1L; __pyx_t_1-=1) {
    __pyx_v_i = __pyx_t_1;

    /* "View.MemoryView":1081
 * 
 *     for i in range(ndim - 1, -1, -1):
 *         if mslice.shape[i] > 1:             # <<<<<<<<<<<<<<
 *             c_stride = mslice.strides[i]
 *             break
 */
    __pyx_t_2 = (((__pyx_v_mslice->shape[__pyx_v_i]) > 1) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":1082
 *     for i in range(ndim - 1, -1, -1):
 *         if mslice.shape[i] > 1:
 *             c_stride = mslice.strides[i]             # <<<<<<<<<<<<<<
 *             break
 * 
 */
      __pyx_v_c_stride = (__pyx_v_mslice->strides[__pyx_v_i]);

      /* "View.MemoryView":1083
 *         if mslice.shape[i] > 1:
 *             c_stride = mslice.strides[i]
 *             break             # <<<<<<<<<<<<<<
 * 
 *     for i in range(ndim):
 */
      goto __pyx_L4_break;

      /* "View.MemoryView":1081
 * 
 *     for i in range(ndim - 1, -1, -1):
 *         if mslice.shape[i] > 1:             # <<<<<<<<<<<<<<
 *             c_stride = mslice.strides[i]
 *             break
 */
    }
  }
  __pyx_L4_break:;

  /* "View.MemoryView":1085
 *             break
 * 
 *     for i in range(ndim):             # <<<<<<<<<<<<<<
 *         if mslice.shape[i] > 1:
 *             f_stride = mslice.strides[i]
 */
  __pyx_t_1 = __pyx_v_ndim;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_1; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "View.MemoryView":1086
 * 
 *     for i in range(ndim):
 *         if mslice.shape[i] > 1:             # <<<<<<<<<<<<<<
 *             f_stride = mslice.strides[i]
 *             break
 */
    __pyx_t_2 = (((__pyx_v_mslice->shape[__pyx_v_i]) > 1) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":1087
 *     for i in range(ndim):
 *         if mslice.shape[i] > 1:
 *             f_stride = mslice.strides[i]             # <<<<<<<<<<<<<<
 *             break
 * 
 */
      __pyx_v_f_stride = (__pyx_v_mslice->strides[__pyx_v_i]);

      /* "View.MemoryView":1088
 *         if mslice.shape[i] > 1:
 *             f_stride = mslice.strides[i]
 *             break             # <<<<<<<<<<<<<<
 * 
 *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):
 */
      goto __pyx_L7_break;

      /* "View.MemoryView":1086
 * 
 *     for i in range(ndim):
 *         if mslice.shape[i] > 1:             # <<<<<<<<<<<<<<
 *             f_stride = mslice.strides[i]
 *             break
 */
    }
  }
  __pyx_L7_break:;

  /* "View.MemoryView":1090
 *             break
 * 
 *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):             # <<<<<<<<<<<<<<
 *         return 'C'
 *     else:
 */
  __pyx_t_2 = ((abs_py_ssize_t(__pyx_v_c_stride) <= abs_py_ssize_t(__pyx_v_f_stride)) != 0);
  if (__pyx_t_2) {

    /* "View.MemoryView":1091
 * 
 *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):
 *         return 'C'             # <<<<<<<<<<<<<<
 *     else:
 *         return 'F'
 */
    __pyx_r = 'C';
    goto __pyx_L0;

    /* "View.MemoryView":1090
 *             break
 * 
 *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):             # <<<<<<<<<<<<<<
 *         return 'C'
 *     else:
 */
  }

  /* "View.MemoryView":1093
 *         return 'C'
 *     else:
 *         return 'F'             # <<<<<<<<<<<<<<
 * 
 * @cython.cdivision(True)
 */
  /*else*/ {
    __pyx_r = 'F';
    goto __pyx_L0;
  }

  /* "View.MemoryView":1072
 * 
 * @cname('__pyx_get_best_slice_order')
 * cdef char get_best_order(__Pyx_memviewslice *mslice, int ndim) nogil:             # <<<<<<<<<<<<<<
 *     """
 *     Figure out the best memory access order for a given slice.
 */

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

/* "View.MemoryView":1096
 * 
 * @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,
 */

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

  /* "View.MemoryView":1103
 * 
 *     cdef Py_ssize_t i
 *     cdef Py_ssize_t src_extent = src_shape[0]             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t dst_extent = dst_shape[0]
 *     cdef Py_ssize_t src_stride = src_strides[0]
 */
  __pyx_v_src_extent = (__pyx_v_src_shape[0]);

  /* "View.MemoryView":1104
 *     cdef Py_ssize_t i
 *     cdef Py_ssize_t src_extent = src_shape[0]
 *     cdef Py_ssize_t dst_extent = dst_shape[0]             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t src_stride = src_strides[0]
 *     cdef Py_ssize_t dst_stride = dst_strides[0]
 */
  __pyx_v_dst_extent = (__pyx_v_dst_shape[0]);

  /* "View.MemoryView":1105
 *     cdef Py_ssize_t src_extent = src_shape[0]
 *     cdef Py_ssize_t dst_extent = dst_shape[0]
 *     cdef Py_ssize_t src_stride = src_strides[0]             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t dst_stride = dst_strides[0]
 * 
 */
  __pyx_v_src_stride = (__pyx_v_src_strides[0]);

  /* "View.MemoryView":1106
 *     cdef Py_ssize_t dst_extent = dst_shape[0]
 *     cdef Py_ssize_t src_stride = src_strides[0]
 *     cdef Py_ssize_t dst_stride = dst_strides[0]             # <<<<<<<<<<<<<<
 * 
 *     if ndim == 1:
 */
  __pyx_v_dst_stride = (__pyx_v_dst_strides[0]);

  /* "View.MemoryView":1108
 *     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):
 */
  __pyx_t_1 = ((__pyx_v_ndim == 1) != 0);
  if (__pyx_t_1) {

    /* "View.MemoryView":1109
 * 
 *     if ndim == 1:
 *        if (src_stride > 0 and dst_stride > 0 and             # <<<<<<<<<<<<<<
 *            <size_t> src_stride == itemsize == <size_t> dst_stride):
 *            memcpy(dst_data, src_data, itemsize * dst_extent)
 */
    __pyx_t_2 = ((__pyx_v_src_stride > 0) != 0);
    if (__pyx_t_2) {
    } else {
      __pyx_t_1 = __pyx_t_2;
      goto __pyx_L5_bool_binop_done;
    }
    __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":1110
 *     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":1109
 * 
 *     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":1111
 *        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):
 */
      memcpy(__pyx_v_dst_data, __pyx_v_src_data, (__pyx_v_itemsize * __pyx_v_dst_extent));

      /* "View.MemoryView":1109
 * 
 *     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":1113
 *            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;
      for (__pyx_t_5 = 0; __pyx_t_5 < __pyx_t_4; __pyx_t_5+=1) {
        __pyx_v_i = __pyx_t_5;

        /* "View.MemoryView":1114
 *        else:
 *            for i in range(dst_extent):
 *                memcpy(dst_data, src_data, itemsize)             # <<<<<<<<<<<<<<
 *                src_data += src_stride
 *                dst_data += dst_stride
 */
        memcpy(__pyx_v_dst_data, __pyx_v_src_data, __pyx_v_itemsize);

        /* "View.MemoryView":1115
 *            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":1116
 *                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":1108
 *     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":1118
 *                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;
    for (__pyx_t_5 = 0; __pyx_t_5 < __pyx_t_4; __pyx_t_5+=1) {
      __pyx_v_i = __pyx_t_5;

      /* "View.MemoryView":1119
 *     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":1123
 *                                      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":1124
 *                                      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":1096
 * 
 * @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":1126
 *             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":1129
 *                                   __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":1126
 *             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":1133
 * 
 * @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 int i
 */

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

  /* "View.MemoryView":1136
 *     "Return the size of the memory occupied by the slice in number of bytes"
 *     cdef int i
 *     cdef Py_ssize_t size = src.memview.view.itemsize             # <<<<<<<<<<<<<<
 * 
 *     for i in range(ndim):
 */
  __pyx_t_1 = __pyx_v_src->memview->view.itemsize;
  __pyx_v_size = __pyx_t_1;

  /* "View.MemoryView":1138
 *     cdef Py_ssize_t size = src.memview.view.itemsize
 * 
 *     for i in range(ndim):             # <<<<<<<<<<<<<<
 *         size *= src.shape[i]
 * 
 */
  __pyx_t_2 = __pyx_v_ndim;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "View.MemoryView":1139
 * 
 *     for i in range(ndim):
 *         size *= src.shape[i]             # <<<<<<<<<<<<<<
 * 
 *     return size
 */
    __pyx_v_size = (__pyx_v_size * (__pyx_v_src->shape[__pyx_v_i]));
  }

  /* "View.MemoryView":1141
 *         size *= src.shape[i]
 * 
 *     return size             # <<<<<<<<<<<<<<
 * 
 * @cname('__pyx_fill_contig_strides_array')
 */
  __pyx_r = __pyx_v_size;
  goto __pyx_L0;

  /* "View.MemoryView":1133
 * 
 * @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 int i
 */

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

/* "View.MemoryView":1144
 * 
 * @cname('__pyx_fill_contig_strides_array')
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 *             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":1272
 *         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":1275
 *             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":1277
 *         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":1278
 * 
 *             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)
 */
      memcpy(__pyx_v_dst.data, __pyx_v_src.data, __pyx_memoryview_slice_get_size((&__pyx_v_src), __pyx_v_ndim));

      /* "View.MemoryView":1279
 *             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":1280
 *             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":1281
 *             refcount_copying(&dst, dtype_is_object, ndim, True)
 *             free(tmpdata)
 *             return 0             # <<<<<<<<<<<<<<
 * 
 *     if order == 'F' == get_best_order(&dst, ndim):
 */
      __pyx_r = 0;
      goto __pyx_L0;

      /* "View.MemoryView":1275
 *             direct_copy = slice_is_contig(&dst, 'F', ndim)
 * 
 *         if direct_copy:             # <<<<<<<<<<<<<<
 * 
 *             refcount_copying(&dst, dtype_is_object, ndim, False)
 */
    }

    /* "View.MemoryView":1267
 *         src = tmp
 * 
 *     if not broadcasting:             # <<<<<<<<<<<<<<
 * 
 * 
 */
  }

  /* "View.MemoryView":1283
 *             return 0
 * 
 *     if order == 'F' == get_best_order(&dst, ndim):             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_t_2 = (__pyx_v_order == 'F');
  if (__pyx_t_2) {
    __pyx_t_2 = ('F' == __pyx_get_best_slice_order((&__pyx_v_dst), __pyx_v_ndim));
  }
  __pyx_t_7 = (__pyx_t_2 != 0);
  if (__pyx_t_7) {

    /* "View.MemoryView":1286
 * 
 * 
 *         transpose_memslice(&src)             # <<<<<<<<<<<<<<
 *         transpose_memslice(&dst)
 * 
 */
    __pyx_t_5 = __pyx_memslice_transpose((&__pyx_v_src)); if (unlikely(__pyx_t_5 == 0)) {__pyx_filename = __pyx_f[2]; __pyx_lineno = 1286; __pyx_clineno = __LINE__; goto __pyx_L1_error;}

    /* "View.MemoryView":1287
 * 
 *         transpose_memslice(&src)
 *         transpose_memslice(&dst)             # <<<<<<<<<<<<<<
 * 
 *     refcount_copying(&dst, dtype_is_object, ndim, False)
 */
    __pyx_t_5 = __pyx_memslice_transpose((&__pyx_v_dst)); if (unlikely(__pyx_t_5 == 0)) {__pyx_filename = __pyx_f[2]; __pyx_lineno = 1287; __pyx_clineno = __LINE__; goto __pyx_L1_error;}

    /* "View.MemoryView":1283
 *             return 0
 * 
 *     if order == 'F' == get_best_order(&dst, ndim):             # <<<<<<<<<<<<<<
 * 
 * 
 */
  }

  /* "View.MemoryView":1289
 *         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)
 */
  __pyx_memoryview_refcount_copying((&__pyx_v_dst), __pyx_v_dtype_is_object, __pyx_v_ndim, 0);

  /* "View.MemoryView":1290
 * 
 *     refcount_copying(&dst, dtype_is_object, ndim, False)
 *     copy_strided_to_strided(&src, &dst, ndim, itemsize)             # <<<<<<<<<<<<<<
 *     refcount_copying(&dst, dtype_is_object, ndim, True)
 * 
 */
  copy_strided_to_strided((&__pyx_v_src), (&__pyx_v_dst), __pyx_v_ndim, __pyx_v_itemsize);

  /* "View.MemoryView":1291
 *     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":1293
 *     refcount_copying(&dst, dtype_is_object, ndim, True)
 * 
 *     free(tmpdata)             # <<<<<<<<<<<<<<
 *     return 0
 * 
 */
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  /* "View.MemoryView":1294
 * 
 *     free(tmpdata)
 *     return 0             # <<<<<<<<<<<<<<
 * 
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 */
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  /* "View.MemoryView":1225
 * 
 * @cname('__pyx_memoryview_copy_contents')
 * cdef int memoryview_copy_contents(__Pyx_memviewslice src,             # <<<<<<<<<<<<<<
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/* "View.MemoryView":1297
 * 
 * @cname('__pyx_memoryview_broadcast_leading')
 * cdef void broadcast_leading(__Pyx_memviewslice *mslice,             # <<<<<<<<<<<<<<
 *                             int ndim,
 *                             int ndim_other) nogil:
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static void __pyx_memoryview_broadcast_leading(__Pyx_memviewslice *__pyx_v_mslice, int __pyx_v_ndim, int __pyx_v_ndim_other) {
  int __pyx_v_i;
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  int __pyx_t_2;

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 *                             int ndim_other) nogil:
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 * 
 *     for i in range(ndim - 1, -1, -1):
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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]
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    /* "View.MemoryView":1304
 * 
 *     for i in range(ndim - 1, -1, -1):
 *         mslice.shape[i + offset] = mslice.shape[i]             # <<<<<<<<<<<<<<
 *         mslice.strides[i + offset] = mslice.strides[i]
 *         mslice.suboffsets[i + offset] = mslice.suboffsets[i]
 */
    (__pyx_v_mslice->shape[(__pyx_v_i + __pyx_v_offset)]) = (__pyx_v_mslice->shape[__pyx_v_i]);

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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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 *         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):
 */
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 *         mslice.suboffsets[i + offset] = mslice.suboffsets[i]
 * 
 *     for i in range(offset):             # <<<<<<<<<<<<<<
 *         mslice.shape[i] = 1
 *         mslice.strides[i] = mslice.strides[0]
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    /* "View.MemoryView":1309
 * 
 *     for i in range(offset):
 *         mslice.shape[i] = 1             # <<<<<<<<<<<<<<
 *         mslice.strides[i] = mslice.strides[0]
 *         mslice.suboffsets[i] = -1
 */
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    /* "View.MemoryView":1310
 *     for i in range(offset):
 *         mslice.shape[i] = 1
 *         mslice.strides[i] = mslice.strides[0]             # <<<<<<<<<<<<<<
 *         mslice.suboffsets[i] = -1
 * 
 */
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    /* "View.MemoryView":1311
 *         mslice.shape[i] = 1
 *         mslice.strides[i] = mslice.strides[0]
 *         mslice.suboffsets[i] = -1             # <<<<<<<<<<<<<<
 * 
 * 
 */
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  /* "View.MemoryView":1297
 * 
 * @cname('__pyx_memoryview_broadcast_leading')
 * cdef void broadcast_leading(__Pyx_memviewslice *mslice,             # <<<<<<<<<<<<<<
 *                             int ndim,
 *                             int ndim_other) nogil:
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  /* function exit code */
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/* "View.MemoryView":1319
 * 
 * @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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 */
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    /* "View.MemoryView":1323
 * 
 * 
 *     if dtype_is_object:             # <<<<<<<<<<<<<<
 *         refcount_objects_in_slice_with_gil(dst.data, dst.shape,
 *                                            dst.strides, ndim, inc)
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 * 
 * @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":1328
 * 
 * @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,             # <<<<<<<<<<<<<<
 *                                              Py_ssize_t *strides, int ndim,
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/* "View.MemoryView":1334
 * 
 * @cname('__pyx_memoryview_refcount_objects_in_slice')
 * cdef void refcount_objects_in_slice(char *data, Py_ssize_t *shape,             # <<<<<<<<<<<<<<
 *                                     Py_ssize_t *strides, int ndim, bint inc):
 *     cdef Py_ssize_t i
 */

static void __pyx_memoryview_refcount_objects_in_slice(char *__pyx_v_data, Py_ssize_t *__pyx_v_shape, Py_ssize_t *__pyx_v_strides, int __pyx_v_ndim, int __pyx_v_inc) {
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 *     for i in range(shape[0]):             # <<<<<<<<<<<<<<
 *         if ndim == 1:
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 * 
 *     for i in range(shape[0]):
 *         if ndim == 1:             # <<<<<<<<<<<<<<
 *             if inc:
 *                 Py_INCREF((<PyObject **> data)[0])
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 *             if inc:             # <<<<<<<<<<<<<<
 *                 Py_INCREF((<PyObject **> data)[0])
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      __pyx_t_3 = (__pyx_v_inc != 0);
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        /* "View.MemoryView":1341
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 *                 Py_INCREF((<PyObject **> data)[0])             # <<<<<<<<<<<<<<
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 *                 Py_DECREF((<PyObject **> data)[0])
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        Py_INCREF((((PyObject **)__pyx_v_data)[0]));

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 *     for i in range(shape[0]):
 *         if ndim == 1:
 *             if inc:             # <<<<<<<<<<<<<<
 *                 Py_INCREF((<PyObject **> data)[0])
 *             else:
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 *                 Py_DECREF((<PyObject **> data)[0])             # <<<<<<<<<<<<<<
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 *     for i in range(shape[0]):
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 * 
 */
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 *         else:
 *             refcount_objects_in_slice(data, shape + 1, strides + 1,
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 *         data += strides[0]
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 * 
 *         data += strides[0]             # <<<<<<<<<<<<<<
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 * 
 */
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 * 
 * @cname('__pyx_memoryview_refcount_objects_in_slice')
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/* "View.MemoryView":1354
 * 
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static void __pyx_memoryview_slice_assign_scalar(__Pyx_memviewslice *__pyx_v_dst, int __pyx_v_ndim, size_t __pyx_v_itemsize, void *__pyx_v_item, int __pyx_v_dtype_is_object) {

  /* "View.MemoryView":1357
 *                               size_t itemsize, void *item,
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 *     refcount_copying(dst, dtype_is_object, ndim, False)             # <<<<<<<<<<<<<<
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 */
  __pyx_memoryview_refcount_copying(__pyx_v_dst, __pyx_v_dtype_is_object, __pyx_v_ndim, 0);

  /* "View.MemoryView":1358
 *                               bint dtype_is_object) nogil:
 *     refcount_copying(dst, dtype_is_object, ndim, False)
 *     _slice_assign_scalar(dst.data, dst.shape, dst.strides, ndim,             # <<<<<<<<<<<<<<
 *                          itemsize, item)
 *     refcount_copying(dst, dtype_is_object, ndim, True)
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  /* "View.MemoryView":1360
 *     _slice_assign_scalar(dst.data, dst.shape, dst.strides, ndim,
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 *     refcount_copying(dst, dtype_is_object, ndim, True)             # <<<<<<<<<<<<<<
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 * 
 */
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  /* "View.MemoryView":1354
 * 
 * @cname('__pyx_memoryview_slice_assign_scalar')
 * cdef void slice_assign_scalar(__Pyx_memviewslice *dst, int ndim,             # <<<<<<<<<<<<<<
 *                               size_t itemsize, void *item,
 *                               bint dtype_is_object) nogil:
 */

  /* function exit code */
}

/* "View.MemoryView":1364
 * 
 * @cname('__pyx_memoryview__slice_assign_scalar')
 * cdef void _slice_assign_scalar(char *data, Py_ssize_t *shape,             # <<<<<<<<<<<<<<
 *                               Py_ssize_t *strides, int ndim,
 *                               size_t itemsize, void *item) nogil:
 */

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

  /* "View.MemoryView":1368
 *                               size_t itemsize, void *item) nogil:
 *     cdef Py_ssize_t i
 *     cdef Py_ssize_t stride = strides[0]             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t extent = shape[0]
 * 
 */
  __pyx_v_stride = (__pyx_v_strides[0]);

  /* "View.MemoryView":1369
 *     cdef Py_ssize_t i
 *     cdef Py_ssize_t stride = strides[0]
 *     cdef Py_ssize_t extent = shape[0]             # <<<<<<<<<<<<<<
 * 
 *     if ndim == 1:
 */
  __pyx_v_extent = (__pyx_v_shape[0]);

  /* "View.MemoryView":1371
 *     cdef Py_ssize_t extent = shape[0]
 * 
 *     if ndim == 1:             # <<<<<<<<<<<<<<
 *         for i in range(extent):
 *             memcpy(data, item, itemsize)
 */
  __pyx_t_1 = ((__pyx_v_ndim == 1) != 0);
  if (__pyx_t_1) {

    /* "View.MemoryView":1372
 * 
 *     if ndim == 1:
 *         for i in range(extent):             # <<<<<<<<<<<<<<
 *             memcpy(data, item, itemsize)
 *             data += stride
 */
    __pyx_t_2 = __pyx_v_extent;
    for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
      __pyx_v_i = __pyx_t_3;

      /* "View.MemoryView":1373
 *     if ndim == 1:
 *         for i in range(extent):
 *             memcpy(data, item, itemsize)             # <<<<<<<<<<<<<<
 *             data += stride
 *     else:
 */
      memcpy(__pyx_v_data, __pyx_v_item, __pyx_v_itemsize);

      /* "View.MemoryView":1374
 *         for i in range(extent):
 *             memcpy(data, item, itemsize)
 *             data += stride             # <<<<<<<<<<<<<<
 *     else:
 *         for i in range(extent):
 */
      __pyx_v_data = (__pyx_v_data + __pyx_v_stride);
    }

    /* "View.MemoryView":1371
 *     cdef Py_ssize_t extent = shape[0]
 * 
 *     if ndim == 1:             # <<<<<<<<<<<<<<
 *         for i in range(extent):
 *             memcpy(data, item, itemsize)
 */
    goto __pyx_L3;
  }

  /* "View.MemoryView":1376
 *             data += stride
 *     else:
 *         for i in range(extent):             # <<<<<<<<<<<<<<
 *             _slice_assign_scalar(data, shape + 1, strides + 1,
 *                                 ndim - 1, itemsize, item)
 */
  /*else*/ {
    __pyx_t_2 = __pyx_v_extent;
    for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
      __pyx_v_i = __pyx_t_3;

      /* "View.MemoryView":1377
 *     else:
 *         for i in range(extent):
 *             _slice_assign_scalar(data, shape + 1, strides + 1,             # <<<<<<<<<<<<<<
 *                                 ndim - 1, itemsize, item)
 *             data += stride
 */
      __pyx_memoryview__slice_assign_scalar(__pyx_v_data, (__pyx_v_shape + 1), (__pyx_v_strides + 1), (__pyx_v_ndim - 1), __pyx_v_itemsize, __pyx_v_item);

      /* "View.MemoryView":1379
 *             _slice_assign_scalar(data, shape + 1, strides + 1,
 *                                 ndim - 1, itemsize, item)
 *             data += stride             # <<<<<<<<<<<<<<
 * 
 * 
 */
      __pyx_v_data = (__pyx_v_data + __pyx_v_stride);
    }
  }
  __pyx_L3:;

  /* "View.MemoryView":1364
 * 
 * @cname('__pyx_memoryview__slice_assign_scalar')
 * cdef void _slice_assign_scalar(char *data, Py_ssize_t *shape,             # <<<<<<<<<<<<<<
 *                               Py_ssize_t *strides, int ndim,
 *                               size_t itemsize, void *item) nogil:
 */

  /* function exit code */
}
static struct __pyx_vtabstruct_11pomegranate_3hmm_HiddenMarkovModel __pyx_vtable_11pomegranate_3hmm_HiddenMarkovModel;

static PyObject *__pyx_tp_new_11pomegranate_3hmm_HiddenMarkovModel(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *p;
  PyObject *o = __pyx_ptype_11pomegranate_4base_GraphModel->tp_new(t, a, k);
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *)o);
  p->__pyx_base.__pyx_base.__pyx_vtab = (struct __pyx_vtabstruct_11pomegranate_4base_Model*)__pyx_vtabptr_11pomegranate_3hmm_HiddenMarkovModel;
  p->start = Py_None; Py_INCREF(Py_None);
  p->end = Py_None; Py_INCREF(Py_None);
  p->keymap = ((PyObject*)Py_None); Py_INCREF(Py_None);
  p->state_names = Py_None; Py_INCREF(Py_None);
  p->distributions = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->state_weights.data = NULL;
  p->state_weights.memview = NULL;
  return o;
}

static void __pyx_tp_dealloc_11pomegranate_3hmm_HiddenMarkovModel(PyObject *o) {
  struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *p = (struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *)o;
  #if PY_VERSION_HEX >= 0x030400a1
  if (unlikely(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_pw_11pomegranate_3hmm_17HiddenMarkovModel_3__dealloc__(o);
    --Py_REFCNT(o);
    PyErr_Restore(etype, eval, etb);
  }
  Py_CLEAR(p->start);
  Py_CLEAR(p->end);
  Py_CLEAR(p->keymap);
  Py_CLEAR(p->state_names);
  Py_CLEAR(p->distributions);
  __PYX_XDEC_MEMVIEW(&p->state_weights, 1);
  PyObject_GC_Track(o);
  if (likely(__pyx_ptype_11pomegranate_4base_GraphModel)) __pyx_ptype_11pomegranate_4base_GraphModel->tp_dealloc(o); else __Pyx_call_next_tp_dealloc(o, __pyx_tp_dealloc_11pomegranate_3hmm_HiddenMarkovModel);
}

static int __pyx_tp_traverse_11pomegranate_3hmm_HiddenMarkovModel(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *p = (struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *)o;
  e = ((likely(__pyx_ptype_11pomegranate_4base_GraphModel)) ? ((__pyx_ptype_11pomegranate_4base_GraphModel->tp_traverse) ? __pyx_ptype_11pomegranate_4base_GraphModel->tp_traverse(o, v, a) : 0) : __Pyx_call_next_tp_traverse(o, v, a, __pyx_tp_traverse_11pomegranate_3hmm_HiddenMarkovModel)); if (e) return e;
  if (p->start) {
    e = (*v)(p->start, a); if (e) return e;
  }
  if (p->end) {
    e = (*v)(p->end, a); if (e) return e;
  }
  if (p->keymap) {
    e = (*v)(p->keymap, a); if (e) return e;
  }
  if (p->state_names) {
    e = (*v)(p->state_names, a); if (e) return e;
  }
  if (p->distributions) {
    e = (*v)(((PyObject*)p->distributions), a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_11pomegranate_3hmm_HiddenMarkovModel(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *p = (struct __pyx_obj_11pomegranate_3hmm_HiddenMarkovModel *)o;
  if (likely(__pyx_ptype_11pomegranate_4base_GraphModel)) { if (__pyx_ptype_11pomegranate_4base_GraphModel->tp_clear) __pyx_ptype_11pomegranate_4base_GraphModel->tp_clear(o); } else __Pyx_call_next_tp_clear(o, __pyx_tp_clear_11pomegranate_3hmm_HiddenMarkovModel);
  tmp = ((PyObject*)p->start);
  p->start = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->end);
  p->end = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->keymap);
  p->keymap = ((PyObject*)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->state_names);
  p->state_names = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->distributions);
  p->distributions = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyObject *__pyx_getprop_11pomegranate_3hmm_17HiddenMarkovModel_start(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_5start_1__get__(o);
}

static int __pyx_setprop_11pomegranate_3hmm_17HiddenMarkovModel_start(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_5start_3__set__(o, v);
  }
  else {
    return __pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_5start_5__del__(o);
  }
}

static PyObject *__pyx_getprop_11pomegranate_3hmm_17HiddenMarkovModel_end(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_3end_1__get__(o);
}

static int __pyx_setprop_11pomegranate_3hmm_17HiddenMarkovModel_end(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_3end_3__set__(o, v);
  }
  else {
    return __pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_3end_5__del__(o);
  }
}

static PyObject *__pyx_getprop_11pomegranate_3hmm_17HiddenMarkovModel_start_index(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_11start_index_1__get__(o);
}

static int __pyx_setprop_11pomegranate_3hmm_17HiddenMarkovModel_start_index(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_11start_index_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_11pomegranate_3hmm_17HiddenMarkovModel_end_index(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_9end_index_1__get__(o);
}

static int __pyx_setprop_11pomegranate_3hmm_17HiddenMarkovModel_end_index(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_9end_index_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_11pomegranate_3hmm_17HiddenMarkovModel_silent_start(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_12silent_start_1__get__(o);
}

static int __pyx_setprop_11pomegranate_3hmm_17HiddenMarkovModel_silent_start(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_12silent_start_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_11pomegranate_3hmm_17HiddenMarkovModel_discrete(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_8discrete_1__get__(o);
}

static int __pyx_setprop_11pomegranate_3hmm_17HiddenMarkovModel_discrete(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_8discrete_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_11pomegranate_3hmm_17HiddenMarkovModel_multivariate(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_12multivariate_1__get__(o);
}

static int __pyx_setprop_11pomegranate_3hmm_17HiddenMarkovModel_multivariate(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_12multivariate_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_11pomegranate_3hmm_17HiddenMarkovModel_keymap(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_6keymap_1__get__(o);
}

static int __pyx_setprop_11pomegranate_3hmm_17HiddenMarkovModel_keymap(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_6keymap_3__set__(o, v);
  }
  else {
    return __pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_6keymap_5__del__(o);
  }
}

static PyMethodDef __pyx_methods_11pomegranate_3hmm_HiddenMarkovModel[] = {
  {"__getstate__", (PyCFunction)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_5__getstate__, METH_NOARGS, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_4__getstate__},
  {"__reduce__", (PyCFunction)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_7__reduce__, METH_NOARGS, 0},
  {"__setstate__", (PyCFunction)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_9__setstate__, METH_O, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_8__setstate__},
  {"free_bake_buffers", (PyCFunction)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_11free_bake_buffers, METH_NOARGS, 0},
  {"add_state", (PyCFunction)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_13add_state, METH_O, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_12add_state},
  {"add_states", (PyCFunction)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_15add_states, METH_VARARGS|METH_KEYWORDS, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_14add_states},
  {"add_transition", (PyCFunction)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_17add_transition, METH_VARARGS|METH_KEYWORDS, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_16add_transition},
  {"add_transitions", (PyCFunction)__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},
  {"add_model", (PyCFunction)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_29add_model, METH_O, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_28add_model},
  {"concatenate", (PyCFunction)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_31concatenate, METH_VARARGS|METH_KEYWORDS, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_30concatenate},
  {"draw", (PyCFunction)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_33draw, METH_VARARGS|METH_KEYWORDS, 0},
  {"plot", (PyCFunction)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_35plot, METH_VARARGS|METH_KEYWORDS, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_34plot},
  {"bake", (PyCFunction)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_37bake, METH_VARARGS|METH_KEYWORDS, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_36bake},
  {"sample", (PyCFunction)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_39sample, METH_VARARGS|METH_KEYWORDS, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_38sample},
  {"log_probability", (PyCFunction)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_41log_probability, METH_VARARGS|METH_KEYWORDS, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_40log_probability},
  {"forward", (PyCFunction)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_43forward, METH_O, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_42forward},
  {"backward", (PyCFunction)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_45backward, METH_O, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_44backward},
  {"forward_backward", (PyCFunction)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_47forward_backward, METH_O, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_46forward_backward},
  {"viterbi", (PyCFunction)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_49viterbi, METH_O, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_48viterbi},
  {"predict_proba", (PyCFunction)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_51predict_proba, METH_O, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_50predict_proba},
  {"predict_log_proba", (PyCFunction)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_53predict_log_proba, METH_O, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_52predict_log_proba},
  {"predict", (PyCFunction)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_55predict, METH_VARARGS|METH_KEYWORDS, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_54predict},
  {"maximum_a_posteriori", (PyCFunction)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_57maximum_a_posteriori, METH_O, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_56maximum_a_posteriori},
  {"fit", (PyCFunction)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_59fit, METH_VARARGS|METH_KEYWORDS, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_58fit},
  {"summarize", (PyCFunction)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_61summarize, METH_VARARGS|METH_KEYWORDS, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_60summarize},
  {"_baum_welch_summarize", (PyCFunction)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_63_baum_welch_summarize, METH_VARARGS|METH_KEYWORDS, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_62_baum_welch_summarize},
  {"_viterbi_summarize", (PyCFunction)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_65_viterbi_summarize, METH_VARARGS|METH_KEYWORDS, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_64_viterbi_summarize},
  {"_labeled_summarize", (PyCFunction)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_67_labeled_summarize, METH_VARARGS|METH_KEYWORDS, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_66_labeled_summarize},
  {"from_summaries", (PyCFunction)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_69from_summaries, METH_VARARGS|METH_KEYWORDS, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_68from_summaries},
  {"clear_summaries", (PyCFunction)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_71clear_summaries, METH_NOARGS, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_70clear_summaries},
  {"to_json", (PyCFunction)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_73to_json, METH_VARARGS|METH_KEYWORDS, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_72to_json},
  {"from_json", (PyCFunction)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_75from_json, METH_VARARGS|METH_KEYWORDS, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_74from_json},
  {"from_matrix", (PyCFunction)__pyx_pw_11pomegranate_3hmm_17HiddenMarkovModel_77from_matrix, METH_VARARGS|METH_KEYWORDS, __pyx_doc_11pomegranate_3hmm_17HiddenMarkovModel_76from_matrix},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_11pomegranate_3hmm_HiddenMarkovModel[] = {
  {(char *)"start", __pyx_getprop_11pomegranate_3hmm_17HiddenMarkovModel_start, __pyx_setprop_11pomegranate_3hmm_17HiddenMarkovModel_start, 0, 0},
  {(char *)"end", __pyx_getprop_11pomegranate_3hmm_17HiddenMarkovModel_end, __pyx_setprop_11pomegranate_3hmm_17HiddenMarkovModel_end, 0, 0},
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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' : 40})\n    >>> d2 = DiscreteDistribution({'A' : 0.25, 'C' : 0.25, 'G' : 0.25, 'T' : 25})\n    >>> d3 = DiscreteDistribution({'A' : 0.10, 'C' : 0.40, 'G' : 0.40, 'T' : 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_transition( 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    -4.31828085576\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*/
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  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
};

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 PY_VERSION_HEX >= 0x030400a1
  if (unlikely(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[] = {
  {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*/
  0, /*tp_print*/
  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
};
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)) {
    Py_DECREF(o); o = 0;
  }
  return o;
}

static void __pyx_tp_dealloc_memoryview(PyObject *o) {
  struct __pyx_memoryview_obj *p = (struct __pyx_memoryview_obj *)o;
  #if PY_VERSION_HEX >= 0x030400a1
  if (unlikely(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_memoryview_transpose(o);
}

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

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

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

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

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

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

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

static PyObject *__pyx_getprop___pyx_memoryview_size(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_memoryview_get_size(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},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_memoryview[] = {
  {(char *)"T", __pyx_getprop___pyx_memoryview_T, 0, 0, 0},
  {(char *)"base", __pyx_getprop___pyx_memoryview_base, 0, 0, 0},
  {(char *)"shape", __pyx_getprop___pyx_memoryview_shape, 0, 0, 0},
  {(char *)"strides", __pyx_getprop___pyx_memoryview_strides, 0, 0, 0},
  {(char *)"suboffsets", __pyx_getprop___pyx_memoryview_suboffsets, 0, 0, 0},
  {(char *)"ndim", __pyx_getprop___pyx_memoryview_ndim, 0, 0, 0},
  {(char *)"itemsize", __pyx_getprop___pyx_memoryview_itemsize, 0, 0, 0},
  {(char *)"nbytes", __pyx_getprop___pyx_memoryview_nbytes, 0, 0, 0},
  {(char *)"size", __pyx_getprop___pyx_memoryview_size, 0, 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*/
  0, /*tp_print*/
  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
};
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 PY_VERSION_HEX >= 0x030400a1
  if (unlikely(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;
  e = __pyx_tp_traverse_memoryview(o, v, a); if (e) return e;
  if (p->from_object) {
    e = (*v)(p->from_object, a); if (e) return e;
  }
  return 0;
}

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

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

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

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

static PyTypeObject __pyx_type___pyx_memoryviewslice = {
  PyVarObject_HEAD_INIT(0, 0)
  "pomegranate.hmm._memoryviewslice", /*tp_name*/
  sizeof(struct __pyx_memoryviewslice_obj), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc__memoryviewslice, /*tp_dealloc*/
  0, /*tp_print*/
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY
  __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
};

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

#if PY_MAJOR_VERSION >= 3
static struct PyModuleDef __pyx_moduledef = {
  #if PY_VERSION_HEX < 0x03020000
    { PyObject_HEAD_INIT(NULL) NULL, 0, NULL },
  #else
    PyModuleDef_HEAD_INIT,
  #endif
    "hmm",
    0, /* m_doc */
    -1, /* m_size */
    __pyx_methods /* m_methods */,
    NULL, /* m_reload */
    NULL, /* m_traverse */
    NULL, /* m_clear */
    NULL /* m_free */
};
#endif

static __Pyx_StringTabEntry __pyx_string_tab[] = {
  {&__pyx_n_s_AGraph, __pyx_k_AGraph, sizeof(__pyx_k_AGraph), 0, 0, 1, 1},
  {&__pyx_n_s_ASCII, __pyx_k_ASCII, sizeof(__pyx_k_ASCII), 0, 0, 1, 1},
  {&__pyx_kp_s_A_state_with_name_already_exists, __pyx_k_A_state_with_name_already_exists, sizeof(__pyx_k_A_state_with_name_already_exists), 0, 0, 1, 0},
  {&__pyx_kp_u_Add_many_transitions_at_the_same, __pyx_k_Add_many_transitions_at_the_same, sizeof(__pyx_k_Add_many_transitions_at_the_same), 0, 1, 0, 0},
  {&__pyx_n_s_All, __pyx_k_All, sizeof(__pyx_k_All), 0, 0, 1, 1},
  {&__pyx_kp_s_Buffer_view_does_not_expose_stri, __pyx_k_Buffer_view_does_not_expose_stri, sizeof(__pyx_k_Buffer_view_does_not_expose_stri), 0, 0, 1, 0},
  {&__pyx_kp_s_Can_only_create_a_buffer_that_is, __pyx_k_Can_only_create_a_buffer_that_is, sizeof(__pyx_k_Can_only_create_a_buffer_that_is), 0, 0, 1, 0},
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 */
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 *         # Save the start and end or mae one up
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 *         self.d = 0
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  __pyx_tuple__2 = PyTuple_Pack(1, Py_None); if (unlikely(!__pyx_tuple__2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 203; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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 * 
 *     def draw(self, **kwargs):
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 *     def plot( self, precision=4, **kwargs ):
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 *                 img = matplotlib.image.imread(tf.name)
 *                 plt.imshow(img)
 *                 plt.axis('off')             # <<<<<<<<<<<<<<
 *         else:
 *             warnings.warn("Install pygraphviz for nicer visualizations")
 */
  __pyx_tuple__6 = PyTuple_Pack(1, __pyx_n_s_off); if (unlikely(!__pyx_tuple__6)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 668; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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 *                     G.add_edge(state.name, self.states[li].name, label=p)
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 *             with tempfile.NamedTemporaryFile() as tf:             # <<<<<<<<<<<<<<
 *                 G.draw(tf.name, format='png', prog='dot')
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  __pyx_tuple__7 = PyTuple_Pack(3, Py_None, Py_None, Py_None); if (unlikely(!__pyx_tuple__7)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 664; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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  /* "pomegranate/hmm.pyx":670
 *                 plt.axis('off')
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 *             warnings.warn("Install pygraphviz for nicer visualizations")             # <<<<<<<<<<<<<<
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 *                 normal_states.append(state)
 * 
 *         numpy.random.seed(0)             # <<<<<<<<<<<<<<
 *         random.seed(0)
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 */
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 * 
 *         numpy.random.seed(0)
 *         random.seed(0)             # <<<<<<<<<<<<<<
 * 
 *         normal_states = list(sorted( normal_states, key=attrgetter('name')))
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  __pyx_tuple__10 = PyTuple_Pack(1, __pyx_int_0); if (unlikely(!__pyx_tuple__10)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 859; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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  /* "pomegranate/hmm.pyx":861
 *         random.seed(0)
 * 
 *         normal_states = list(sorted( normal_states, key=attrgetter('name')))             # <<<<<<<<<<<<<<
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 */
  __pyx_tuple__11 = PyTuple_Pack(1, __pyx_n_s_name); if (unlikely(!__pyx_tuple__11)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 861; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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  /* "pomegranate/hmm.pyx":862
 * 
 *         normal_states = list(sorted( normal_states, key=attrgetter('name')))
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 *         # We need the silent states to be in topological sort order: any
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  /* "pomegranate/hmm.pyx":1108
 *             self.distributions[i] = self.states[i].distribution
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 *                 raise ValueError("mis-matching inputs for states")             # <<<<<<<<<<<<<<
 * 
 *         self.distributions_ptr = <void**> self.distributions.data
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  __pyx_tuple__13 = PyTuple_Pack(1, __pyx_kp_s_mis_matching_inputs_for_states); if (unlikely(!__pyx_tuple__13)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1108; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__13);
  __Pyx_GIVEREF(__pyx_tuple__13);

  /* "pomegranate/hmm.pyx":1116
 *             self.start_index = indices[self.start]
 *         except KeyError:
 *             raise SyntaxError( "Model.start has been deleted, leaving the \             # <<<<<<<<<<<<<<
 *                 model with no start. Please ensure it has a start." )
 *         # And the end state
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  __pyx_tuple__14 = PyTuple_Pack(1, __pyx_kp_s_Model_start_has_been_deleted_lea); if (unlikely(!__pyx_tuple__14)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1116; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__14);
  __Pyx_GIVEREF(__pyx_tuple__14);

  /* "pomegranate/hmm.pyx":1122
 *             self.end_index = indices[self.end]
 *         except KeyError:
 *             raise SyntaxError( "Model.end has been deleted, leaving the \             # <<<<<<<<<<<<<<
 *                 model with no end. Please ensure it has an end." )
 * 
 */
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  /* "pomegranate/hmm.pyx":1160
 * 
 *         if self.d == 0:
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 *         return self._sample( length, path )
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  __pyx_tuple__16 = PyTuple_Pack(1, __pyx_kp_s_must_bake_model_before_sampling); if (unlikely(!__pyx_tuple__16)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1160; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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  __Pyx_GIVEREF(__pyx_tuple__16);

  /* "pomegranate/hmm.pyx":1280
 * 
 *         if self.d == 0:
 *             raise ValueError("must bake model before computing probability")             # <<<<<<<<<<<<<<
 * 
 *         cdef numpy.ndarray sequence_ndarray
 */
  __pyx_tuple__17 = PyTuple_Pack(1, __pyx_kp_s_must_bake_model_before_computing); if (unlikely(!__pyx_tuple__17)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1280; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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  __Pyx_GIVEREF(__pyx_tuple__17);

  /* "pomegranate/hmm.pyx":1348
 * 
 *         if self.d == 0:
 *             raise ValueError("must bake model before using forward algorithm")             # <<<<<<<<<<<<<<
 * 
 *         cdef numpy.ndarray sequence_ndarray
 */
  __pyx_tuple__18 = PyTuple_Pack(1, __pyx_kp_s_must_bake_model_before_using_for); if (unlikely(!__pyx_tuple__18)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1348; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__18);
  __Pyx_GIVEREF(__pyx_tuple__18);

  /* "pomegranate/hmm.pyx":1519
 * 
 *         if self.d == 0:
 *             raise ValueError("must bake model before using backward algorithm")             # <<<<<<<<<<<<<<
 * 
 *         cdef numpy.ndarray sequence_ndarray
 */
  __pyx_tuple__19 = PyTuple_Pack(1, __pyx_kp_s_must_bake_model_before_using_bac); if (unlikely(!__pyx_tuple__19)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1519; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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  __Pyx_GIVEREF(__pyx_tuple__19);

  /* "pomegranate/hmm.pyx":1764
 * 
 *         if self.d == 0:
 *             raise ValueError("must bake model before using forward-backward algorithm")             # <<<<<<<<<<<<<<
 * 
 *         cdef numpy.ndarray sequence_ndarray
 */
  __pyx_tuple__20 = PyTuple_Pack(1, __pyx_kp_s_must_bake_model_before_using_for_2); if (unlikely(!__pyx_tuple__20)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1764; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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  __Pyx_GIVEREF(__pyx_tuple__20);

  /* "pomegranate/hmm.pyx":1822
 *         # Is the sequence impossible? If so, don't bother calculating any more.
 *         if log_sequence_probability == NEGINF:
 *             print( "Warning: Sequence is impossible." )             # <<<<<<<<<<<<<<
 *             return ( None, None )
 * 
 */
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  __Pyx_GIVEREF(__pyx_tuple__21);

  /* "pomegranate/hmm.pyx":1823
 *         if log_sequence_probability == NEGINF:
 *             print( "Warning: Sequence is impossible." )
 *             return ( None, None )             # <<<<<<<<<<<<<<
 * 
 *         for k in range( m ):
 */
  __pyx_tuple__22 = PyTuple_Pack(2, Py_None, Py_None); if (unlikely(!__pyx_tuple__22)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1823; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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  /* "pomegranate/hmm.pyx":1945
 * 
 *         if self.d == 0:
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 * 
 *         cdef numpy.ndarray sequence_ndarray
 */
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  /* "pomegranate/hmm.pyx":2165
 * 
 *         if self.d == 0:
 *             raise ValueError("must bake model before prediction")             # <<<<<<<<<<<<<<
 * 
 *         return numpy.exp( self.predict_log_proba( sequence ) )
 */
  __pyx_tuple__24 = PyTuple_Pack(1, __pyx_kp_s_must_bake_model_before_predictio); if (unlikely(!__pyx_tuple__24)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 2165; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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  __Pyx_GIVEREF(__pyx_tuple__24);

  /* "pomegranate/hmm.pyx":2196
 * 
 *         if self.d == 0:
 *             raise ValueError("must bake model before prediction")             # <<<<<<<<<<<<<<
 * 
 *         cdef int n = len(sequence), m = len(self.states)
 */
  __pyx_tuple__25 = PyTuple_Pack(1, __pyx_kp_s_must_bake_model_before_predictio); if (unlikely(!__pyx_tuple__25)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 2196; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__25);
  __Pyx_GIVEREF(__pyx_tuple__25);

  /* "pomegranate/hmm.pyx":2252
 *         if log_sequence_probability == NEGINF:
 *             with gil:
 *                 print( "Warning: Sequence is impossible." )             # <<<<<<<<<<<<<<
 * 
 *         for k in range(m):
 */
  __pyx_tuple__26 = PyTuple_Pack(1, __pyx_kp_s_Warning_Sequence_is_impossible); if (unlikely(!__pyx_tuple__26)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 2252; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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  __Pyx_GIVEREF(__pyx_tuple__26);

  /* "pomegranate/hmm.pyx":2302
 * 
 *         if self.d == 0:
 *             raise ValueError("must bake model before prediction")             # <<<<<<<<<<<<<<
 * 
 *         if algorithm == 'map':
 */
  __pyx_tuple__27 = PyTuple_Pack(1, __pyx_kp_s_must_bake_model_before_predictio); if (unlikely(!__pyx_tuple__27)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 2302; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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  __Pyx_GIVEREF(__pyx_tuple__27);

  /* "pomegranate/hmm.pyx":2335
 * 
 *         if self.d == 0:
 *             raise ValueError("must bake model before using MAP decoding")             # <<<<<<<<<<<<<<
 * 
 *         return self._maximum_a_posteriori( numpy.array( sequence ) )
 */
  __pyx_tuple__28 = PyTuple_Pack(1, __pyx_kp_s_must_bake_model_before_using_MAP); if (unlikely(!__pyx_tuple__28)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 2335; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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  __Pyx_GIVEREF(__pyx_tuple__28);

  /* "pomegranate/hmm.pyx":2472
 * 
 *         if self.d == 0:
 *             raise ValueError("must bake model before fitting")             # <<<<<<<<<<<<<<
 * 
 *         cdef int iteration = 0
 */
  __pyx_tuple__29 = PyTuple_Pack(1, __pyx_kp_s_must_bake_model_before_fitting); if (unlikely(!__pyx_tuple__29)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 2472; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__29);
  __Pyx_GIVEREF(__pyx_tuple__29);

  /* "pomegranate/hmm.pyx":2496
 *             weights = numpy.array(weights, dtype='float64')
 * 
 *         with Parallel(n_jobs=n_jobs, backend='threading') as parallel:             # <<<<<<<<<<<<<<
 *             while improvement > stop_threshold or iteration < min_iterations + 1:
 *                 self.from_summaries(inertia, pseudocount, transition_pseudocount,
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  __pyx_tuple__30 = PyTuple_Pack(3, Py_None, Py_None, Py_None); if (unlikely(!__pyx_tuple__30)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 2496; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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  __Pyx_GIVEREF(__pyx_tuple__30);

  /* "pomegranate/hmm.pyx":2586
 * 
 *         if self.d == 0:
 *             raise ValueError("must bake model before summarizing data")             # <<<<<<<<<<<<<<
 * 
 *         if check_input:
 */
  __pyx_tuple__31 = PyTuple_Pack(1, __pyx_kp_s_must_bake_model_before_summarizi); if (unlikely(!__pyx_tuple__31)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 2586; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__31);
  __Pyx_GIVEREF(__pyx_tuple__31);

  /* "pomegranate/hmm.pyx":2919
 * 
 *         if self.d == 0:
 *             raise ValueError("must bake model before using from summaries")             # <<<<<<<<<<<<<<
 * 
 *         if self.summaries == 0:
 */
  __pyx_tuple__32 = PyTuple_Pack(1, __pyx_kp_s_must_bake_model_before_using_fro); if (unlikely(!__pyx_tuple__32)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 2919; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__32);
  __Pyx_GIVEREF(__pyx_tuple__32);

  /* "pomegranate/hmm.pyx":3061
 *             state.distribution.clear_summaries()
 * 
 *     def to_json( self, separators=(',', ' : '), indent=4 ):             # <<<<<<<<<<<<<<
 *         """Serialize the model to a JSON.
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 */
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  __Pyx_GIVEREF(__pyx_tuple__35);

  /* "pomegranate/hmm.pyx":3154
 *         except:
 *             try:
 *                 with open( s, 'r' ) as infile:             # <<<<<<<<<<<<<<
 *                     d = json.load( infile )
 *             except:
 */
  __pyx_tuple__36 = PyTuple_Pack(3, Py_None, Py_None, Py_None); if (unlikely(!__pyx_tuple__36)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 3154; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__36);
  __Pyx_GIVEREF(__pyx_tuple__36);

  /* "pomegranate/hmm.pyx":3157
 *                     d = json.load( infile )
 *             except:
 *                 raise IOError("String must be properly formatted JSON or filename of properly formatted JSON.")             # <<<<<<<<<<<<<<
 * 
 *         # Make a new generic HMM
 */
  __pyx_tuple__37 = PyTuple_Pack(1, __pyx_kp_s_String_must_be_properly_formatte); if (unlikely(!__pyx_tuple__37)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 3157; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__37);
  __Pyx_GIVEREF(__pyx_tuple__37);

  /* "../../anaconda/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":218
 *             if ((flags & pybuf.PyBUF_C_CONTIGUOUS == pybuf.PyBUF_C_CONTIGUOUS)
 *                 and not PyArray_CHKFLAGS(self, NPY_C_CONTIGUOUS)):
 *                 raise ValueError(u"ndarray is not C contiguous")             # <<<<<<<<<<<<<<
 * 
 *             if ((flags & pybuf.PyBUF_F_CONTIGUOUS == pybuf.PyBUF_F_CONTIGUOUS)
 */
  __pyx_tuple__38 = PyTuple_Pack(1, __pyx_kp_u_ndarray_is_not_C_contiguous); if (unlikely(!__pyx_tuple__38)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 218; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__38);
  __Pyx_GIVEREF(__pyx_tuple__38);

  /* "../../anaconda/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":222
 *             if ((flags & pybuf.PyBUF_F_CONTIGUOUS == pybuf.PyBUF_F_CONTIGUOUS)
 *                 and not PyArray_CHKFLAGS(self, NPY_F_CONTIGUOUS)):
 *                 raise ValueError(u"ndarray is not Fortran contiguous")             # <<<<<<<<<<<<<<
 * 
 *             info.buf = PyArray_DATA(self)
 */
  __pyx_tuple__39 = PyTuple_Pack(1, __pyx_kp_u_ndarray_is_not_Fortran_contiguou); if (unlikely(!__pyx_tuple__39)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 222; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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  /* "../../anaconda/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":259
 *                 if ((descr.byteorder == c'>' and little_endian) or
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    tstate->curexc_type = type;
    tstate->curexc_value = value;
    tstate->curexc_traceback = tb;
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
#else
    PyErr_Restore(type, value, tb);
#endif
}
static CYTHON_INLINE void __Pyx_ErrFetch(PyObject **type, PyObject **value, PyObject **tb) {
#if CYTHON_COMPILING_IN_CPYTHON
    PyThreadState *tstate = PyThreadState_GET();
    *type = tstate->curexc_type;
    *value = tstate->curexc_value;
    *tb = tstate->curexc_traceback;
    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
#else
    PyErr_Fetch(type, value, tb);
#endif
}

#if PY_MAJOR_VERSION < 3
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb,
                        CYTHON_UNUSED PyObject *cause) {
    Py_XINCREF(type);
    if (!value || value == Py_None)
        value = NULL;
    else
        Py_INCREF(value);
    if (!tb || tb == Py_None)
        tb = NULL;
    else {
        Py_INCREF(tb);
        if (!PyTraceBack_Check(tb)) {
            PyErr_SetString(PyExc_TypeError,
                "raise: arg 3 must be a traceback or None");
            goto raise_error;
        }
    }
    if (PyType_Check(type)) {
#if CYTHON_COMPILING_IN_PYPY
        if (!value) {
            Py_INCREF(Py_None);
            value = Py_None;
        }
#endif
        PyErr_NormalizeException(&type, &value, &tb);
    } else {
        if (value) {
            PyErr_SetString(PyExc_TypeError,
                "instance exception may not have a separate value");
            goto raise_error;
        }
        value = type;
        type = (PyObject*) Py_TYPE(type);
        Py_INCREF(type);
        if (!PyType_IsSubtype((PyTypeObject *)type, (PyTypeObject *)PyExc_BaseException)) {
            PyErr_SetString(PyExc_TypeError,
                "raise: exception class must be a subclass of BaseException");
            goto raise_error;
        }
    }
    __Pyx_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 PY_VERSION_HEX >= 0x03030000
    if (cause) {
#else
    if (cause && cause != Py_None) {
#endif
        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 = PyThreadState_GET();
        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

static CYTHON_INLINE 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_COMPILING_IN_CPYTHON
    if (is_list || PyList_CheckExact(o)) {
        Py_ssize_t n = (!wraparound) ? i : ((likely(i >= 0)) ? i : i + PyList_GET_SIZE(o));
        if ((!boundscheck) || likely((n >= 0) & (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))
                        PyErr_Clear();
                    else
                        return -1;
                }
            }
            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);
}

#if CYTHON_USE_PYLONG_INTERNALS
  #include "longintrepr.h"
#endif

#if CYTHON_COMPILING_IN_CPYTHON
static PyObject* __Pyx_PyInt_EqObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, CYTHON_UNUSED int 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 && PY_MAJOR_VERSION >= 3
    if (likely(PyLong_CheckExact(op1))) {
        const long b = intval;
        long a;
        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;
                    }
                case 2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                case -3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                case 3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                case -4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                case 4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                #if PyLong_SHIFT < 30 && PyLong_SHIFT != 15
                default: return PyLong_Type.tp_richcompare(op1, op2, Py_EQ);
                #else
                default: Py_RETURN_FALSE;
                #endif
            }
        }
            if (a == b) {
                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);
}
#endif

#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func) {
#ifdef __Pyx_CyFunction_USED
    if (likely(PyCFunction_Check(func) || PyObject_TypeCheck(func, __pyx_CyFunctionType))) {
#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

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;
#ifdef WITH_THREAD
    PyGILState_STATE state;
    if (nogil)
        state = PyGILState_Ensure();
#endif
    __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
}

#if CYTHON_COMPILING_IN_CPYTHON
static PyObject* __Pyx_PyInt_AddObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, CYTHON_UNUSED int inplace) {
    #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 && PY_MAJOR_VERSION >= 3
    if (likely(PyLong_CheckExact(op1))) {
        const long b = intval;
        long a, x;
        const PY_LONG_LONG llb = intval;
        PY_LONG_LONG lla, llx;
        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;
                    } 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;
                    }
                case 2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    } 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;
                    }
                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;
                    } 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;
                    }
                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;
                    } 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;
                    }
                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;
                    } 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;
                    }
                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;
                    } 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;
                    }
                default: return PyLong_Type.tp_as_number->nb_add(op1, op2);
            }
        }
                x = a + b;
            return PyLong_FromLong(x);
        long_long:
                llx = lla + llb;
            return PyLong_FromLongLong(llx);
    }
    #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

static PyObject* __Pyx_PyObject_CallMethod1(PyObject* obj, PyObject* method_name, PyObject* arg) {
    PyObject *method, *result = NULL;
    method = __Pyx_PyObject_GetAttrStr(obj, method_name);
    if (unlikely(!method)) goto bad;
#if CYTHON_COMPILING_IN_CPYTHON
    if (likely(PyMethod_Check(method))) {
        PyObject *self = PyMethod_GET_SELF(method);
        if (likely(self)) {
            PyObject *args;
            PyObject *function = PyMethod_GET_FUNCTION(method);
            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);
            Py_INCREF(function);
            Py_DECREF(method); method = NULL;
            result = __Pyx_PyObject_Call(function, args, NULL);
            Py_DECREF(args);
            Py_DECREF(function);
            return result;
        }
    }
#endif
    result = __Pyx_PyObject_CallOneArg(method, arg);
bad:
    Py_XDECREF(method);
    return result;
}

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;
}

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);
}

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");
}

static CYTHON_INLINE int __Pyx_IterFinish(void) {
#if CYTHON_COMPILING_IN_CPYTHON
    PyThreadState *tstate = PyThreadState_GET();
    PyObject* exc_type = tstate->curexc_type;
    if (unlikely(exc_type)) {
        if (likely(exc_type == PyExc_StopIteration) || 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
}

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;
}

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);
#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);
    } else {
        if (default_value == Py_None)
            default_value = NULL;
        value = PyObject_CallMethodObjArgs(
            d, __pyx_n_s_get, key, default_value, NULL);
    }
#endif
    return value;
}

static CYTHON_INLINE 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_CheckExact(key)) && 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;
}

#if CYTHON_COMPILING_IN_CPYTHON
static PyObject* __Pyx_PyFloat_AddObjC(PyObject *op1, PyObject *op2, double floatval, CYTHON_UNUSED int inplace) {
    const double b = floatval;
    double a, result;
    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 && PY_MAJOR_VERSION >= 3
        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) (1L<<53))) {
                        if (size == -2)
                            a = -a;
                        break;
                    }
                }
            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) (1L<<53))) {
                        if (size == -3)
                            a = -a;
                        break;
                    }
                }
            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) (1L<<53))) {
                        if (size == -4)
                            a = -a;
                        break;
                    }
                }
            default:
        #else
        {
        #endif
            a = PyLong_AsDouble(op1);
            if (unlikely(a == -1.0 && PyErr_Occurred())) return NULL;
        }
    } else {
        return (inplace ? PyNumber_InPlaceAdd : PyNumber_Add)(op1, op2);
    }
        PyFPE_START_PROTECT("add", return NULL)
        result = a + b;
        PyFPE_END_PROTECT(result)
        return PyFloat_FromDouble(result);
}
#endif

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

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 = 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
}

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;
        }
        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_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
}

#if CYTHON_COMPILING_IN_CPYTHON
static PyObject* __Pyx_PyFloat_EqObjC(PyObject *op1, PyObject *op2, double floatval, CYTHON_UNUSED int inplace) {
    const double b = floatval;
    double a;
    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 && PY_MAJOR_VERSION >= 3
        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) (1L<<53))) {
                        if (size == -2)
                            a = -a;
                        break;
                    }
                }
            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) (1L<<53))) {
                        if (size == -3)
                            a = -a;
                        break;
                    }
                }
            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) (1L<<53))) {
                        if (size == -4)
                            a = -a;
                        break;
                    }
                }
            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

#if CYTHON_COMPILING_IN_CPYTHON
static PyObject* __Pyx_PyInt_SubtractObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, CYTHON_UNUSED int inplace) {
    #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_subtract(op1, op2);
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS && PY_MAJOR_VERSION >= 3
    if (likely(PyLong_CheckExact(op1))) {
        const long b = intval;
        long a, x;
        const PY_LONG_LONG llb = intval;
        PY_LONG_LONG lla, llx;
        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;
                    } 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;
                    }
                case 2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    } 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;
                    }
                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;
                    } 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;
                    }
                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;
                    } 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;
                    }
                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;
                    } 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;
                    }
                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;
                    } 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;
                    }
                default: return PyLong_Type.tp_as_number->nb_subtract(op1, op2);
            }
        }
                x = a - b;
            return PyLong_FromLong(x);
        long_long:
                llx = lla - llb;
            return PyLong_FromLongLong(llx);
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
        double a = PyFloat_AS_DOUBLE(op1);
            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

static CYTHON_INLINE int __Pyx_IsLittleEndian(void) {
  unsigned int n = 1;
  return *(unsigned char*)(&n) != 0;
}
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 '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 '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 '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 CYTHON_INLINE 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_IsLittleEndian()) {
          PyErr_SetString(PyExc_ValueError, "Little-endian buffer not supported on big-endian compiler");
          return NULL;
        }
        ctx->new_packmode = '=';
        ++ts;
        break;
      case '>':
      case '!':
        if (__Pyx_IsLittleEndian()) {
          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;
        }
      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;
        }
      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;
        }
    }
  }
}
static CYTHON_INLINE void __Pyx_ZeroBuffer(Py_buffer* buf) {
  buf->buf = NULL;
  buf->obj = NULL;
  buf->strides = __Pyx_zeros;
  buf->shape = __Pyx_zeros;
  buf->suboffsets = __Pyx_minusones;
}
static CYTHON_INLINE int __Pyx_GetBufferAndValidate(
        Py_buffer* buf, PyObject* obj,  __Pyx_TypeInfo* dtype, int flags,
        int nd, int cast, __Pyx_BufFmt_StackElem* stack)
{
  if (obj == Py_None || obj == NULL) {
    __Pyx_ZeroBuffer(buf);
    return 0;
  }
  buf->buf = NULL;
  if (__Pyx_GetBuffer(obj, buf, flags) == -1) goto fail;
  if (buf->ndim != nd) {
    PyErr_Format(PyExc_ValueError,
                 "Buffer has wrong number of dimensions (expected %d, got %d)",
                 nd, buf->ndim);
    goto fail;
  }
  if (!cast) {
    __Pyx_BufFmt_Context ctx;
    __Pyx_BufFmt_Init(&ctx, stack, dtype);
    if (!__Pyx_BufFmt_CheckString(&ctx, buf->format)) goto fail;
  }
  if ((unsigned)buf->itemsize != dtype->size) {
    PyErr_Format(PyExc_ValueError,
      "Item size of buffer (%" CYTHON_FORMAT_SSIZE_T "d byte%s) does not match size of '%s' (%" CYTHON_FORMAT_SSIZE_T "d byte%s)",
      buf->itemsize, (buf->itemsize > 1) ? "s" : "",
      dtype->name, (Py_ssize_t)dtype->size, (dtype->size > 1) ? "s" : "");
    goto fail;
  }
  if (buf->suboffsets == NULL) buf->suboffsets = __Pyx_minusones;
  return 0;
fail:;
  __Pyx_ZeroBuffer(buf);
  return -1;
}
static CYTHON_INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info) {
  if (info->buf == NULL) return;
  if (info->suboffsets == __Pyx_minusones) info->suboffsets = NULL;
  __Pyx_ReleaseBuffer(info);
}

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 (!buf) {
        PyErr_SetString(PyExc_ValueError,
            "buf is NULL.");
        goto fail;
    } else 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;
}
static CYTHON_INLINE void __pyx_fatalerror(const char *fmt, ...) {
    va_list vargs;
    char msg[200];
#ifdef HAVE_STDARG_PROTOTYPES
    va_start(vargs, fmt);
#else
    va_start(vargs);
#endif
    vsnprintf(msg, 200, fmt, vargs);
    Py_FatalError(msg);
    va_end(vargs);
}
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;
    }
}

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(PyObject_TypeCheck(method, &PyMethodDescr_Type)))
    #endif
    {
        PyMethodDescrObject *descr = (PyMethodDescrObject*) method;
        target->func = descr->d_method->ml_meth;
        target->flag = descr->d_method->ml_flags & (METH_VARARGS | METH_KEYWORDS | METH_O | METH_NOARGS);
    }
#endif
    return 0;
}

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_COMPILING_IN_CPYTHON
    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;
}

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);
}

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);
}

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);
}

static CYTHON_INLINE void __Pyx_RaiseUnboundLocalError(const char *varname) {
    PyErr_Format(PyExc_UnboundLocalError, "local variable '%s' referenced before assignment", varname);
}

#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

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

static void __Pyx_RaiseArgumentTypeInvalid(const char* name, PyObject *obj, PyTypeObject *type) {
    PyErr_Format(PyExc_TypeError,
        "Argument '%.200s' has incorrect type (expected %.200s, got %.200s)",
        name, type->tp_name, Py_TYPE(obj)->tp_name);
}
static CYTHON_INLINE int __Pyx_ArgTypeTest(PyObject *obj, PyTypeObject *type, int none_allowed,
    const char *name, int exact)
{
    if (unlikely(!type)) {
        PyErr_SetString(PyExc_SystemError, "Missing type object");
        return 0;
    }
    if (none_allowed && obj == Py_None) return 1;
    else if (exact) {
        if (likely(Py_TYPE(obj) == type)) return 1;
        #if PY_MAJOR_VERSION == 2
        else if ((type == &PyBaseString_Type) && likely(__Pyx_PyBaseString_CheckExact(obj))) return 1;
        #endif
    }
    else {
        if (likely(PyObject_TypeCheck(obj, type))) return 1;
    }
    __Pyx_RaiseArgumentTypeInvalid(name, obj, type);
    return 0;
}

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

static CYTHON_INLINE PyObject *__Pyx_GetAttr(PyObject *o, PyObject *n) {
#if CYTHON_COMPILING_IN_CPYTHON
#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);
}

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);
    }
}

static CYTHON_INLINE void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
#if CYTHON_COMPILING_IN_CPYTHON
    PyThreadState *tstate = PyThreadState_GET();
    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;
#else
    PyErr_GetExcInfo(&tmp_type, &tmp_value, &tmp_tb);
    PyErr_SetExcInfo(*type, *value, *tb);
#endif
    *type = tmp_type;
    *value = tmp_value;
    *tb = tmp_tb;
}

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_VERSION_HEX < 0x03030000
    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, '.')) {
                #if PY_VERSION_HEX < 0x03030000
                PyObject *py_level = PyInt_FromLong(1);
                if (!py_level)
                    goto bad;
                module = PyObject_CallFunctionObjArgs(py_import,
                    name, global_dict, empty_dict, list, py_level, NULL);
                Py_DECREF(py_level);
                #else
                module = PyImport_ImportModuleLevelObject(
                    name, global_dict, empty_dict, list, 1);
                #endif
                if (!module) {
                    if (!PyErr_ExceptionMatches(PyExc_ImportError))
                        goto bad;
                    PyErr_Clear();
                }
            }
            level = 0;
        }
        #endif
        if (!module) {
            #if PY_VERSION_HEX < 0x03030000
            PyObject *py_level = PyInt_FromLong(level);
            if (!py_level)
                goto bad;
            module = PyObject_CallFunctionObjArgs(py_import,
                name, global_dict, empty_dict, list, py_level, NULL);
            Py_DECREF(py_level);
            #else
            module = PyImport_ImportModuleLevelObject(
                name, global_dict, empty_dict, list, level);
            #endif
        }
    }
bad:
    #if PY_VERSION_HEX < 0x03030000
    Py_XDECREF(py_import);
    #endif
    Py_XDECREF(empty_list);
    Py_XDECREF(empty_dict);
    return module;
}

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);
}

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;
}

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);
}

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;
}

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;
}

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;
}

static PyObject *__Pyx_GetNameInClass(PyObject *nmspace, PyObject *name) {
    PyObject *result;
    result = __Pyx_PyObject_GetAttrStr(nmspace, name);
    if (!result)
        result = __Pyx_GetModuleGlobalName(name);
    return result;
}

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);
}

#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;
    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(
        PyThreadState_GET(), /*PyThreadState *tstate,*/
        py_code,             /*PyCodeObject *code,*/
        __pyx_d,      /*PyObject *globals,*/
        0                    /*PyObject *locals*/
    );
    if (!py_frame) goto bad;
    py_frame->f_lineno = 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 (PyObject_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) return __pyx_pw_5numpy_7ndarray_1__getbuffer__(obj, view, flags);
        if (PyObject_TypeCheck(obj, __pyx_array_type)) return __pyx_array_getbuffer(obj, view, flags);
        if (PyObject_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 (PyObject_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) { __pyx_pw_5numpy_7ndarray_3__releasebuffer__(obj, view); return; }
    Py_DECREF(obj);
    view->obj = NULL;
}
#endif


                static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) {
    const long neg_one = (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);
        } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
        }
    } else {
        if (sizeof(long) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(long),
                                     little, !is_unsigned);
    }
}

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value) {
    const int neg_one = (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);
        } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
        }
    } else {
        if (sizeof(int) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(int),
                                     little, !is_unsigned);
    }
}

#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;\
    }

static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *x) {
    const int neg_one = (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))
            } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            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) 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))
            } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, PY_LONG_LONG, PyLong_AsLongLong(x))
            }
        }
        {
#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_Int(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_Int(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;
}

static CYTHON_INLINE size_t __Pyx_PyInt_As_size_t(PyObject *x) {
    const size_t neg_one = (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))
            } else if (sizeof(size_t) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(size_t, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
            }
        } 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) 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))
            } else if (sizeof(size_t) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(size_t, PY_LONG_LONG, PyLong_AsLongLong(x))
            }
        }
        {
#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_Int(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_Int(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;
}

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_Py_intptr_t(Py_intptr_t value) {
    const Py_intptr_t neg_one = (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);
        } else if (sizeof(Py_intptr_t) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
        }
    } else {
        if (sizeof(Py_intptr_t) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(Py_intptr_t) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
        }
    }
    {
        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);
    }
}

static PyObject* __Pyx_Method_ClassMethod(PyObject *method) {
#if CYTHON_COMPILING_IN_PYPY
    if (PyObject_TypeCheck(method, &PyWrapperDescr_Type)) {
        return PyClassMethod_New(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 (PyObject_TypeCheck(method, methoddescr_type)) {
        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 (PyObject_TypeCheck(method, __pyx_CyFunctionType)) {
        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;
}

#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

#if CYTHON_CCOMPLEX
#else
    static CYTHON_INLINE int __Pyx_c_eqf(__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_sumf(__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_difff(__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_prodf(__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;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quotf(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        float denom = b.real * b.real + b.imag * b.imag;
        z.real = (a.real * b.real + a.imag * b.imag) / denom;
        z.imag = (a.imag * b.real - a.real * b.imag) / denom;
        return z;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_negf(__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_zerof(__pyx_t_float_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conjf(__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_absf(__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_powf(__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:
                        z = __Pyx_c_prodf(a, a);
                        return __Pyx_c_prodf(a, a);
                    case 3:
                        z = __Pyx_c_prodf(a, a);
                        return __Pyx_c_prodf(z, a);
                    case 4:
                        z = __Pyx_c_prodf(a, a);
                        return __Pyx_c_prodf(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                }
                r = a.real;
                theta = 0;
            } else {
                r = __Pyx_c_absf(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

#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

#if CYTHON_CCOMPLEX
#else
    static CYTHON_INLINE int __Pyx_c_eq(__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(__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(__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(__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;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        double denom = b.real * b.real + b.imag * b.imag;
        z.real = (a.real * b.real + a.imag * b.imag) / denom;
        z.imag = (a.imag * b.real - a.real * b.imag) / denom;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg(__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(__pyx_t_double_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj(__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(__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(__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:
                        z = __Pyx_c_prod(a, a);
                        return __Pyx_c_prod(a, a);
                    case 3:
                        z = __Pyx_c_prod(a, a);
                        return __Pyx_c_prod(z, a);
                    case 4:
                        z = __Pyx_c_prod(a, a);
                        return __Pyx_c_prod(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                }
                r = a.real;
                theta = 0;
            } else {
                r = __Pyx_c_abs(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

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_enum__NPY_TYPES(enum NPY_TYPES value) {
    const enum NPY_TYPES neg_one = (enum NPY_TYPES) -1, const_zero = (enum NPY_TYPES) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(enum NPY_TYPES) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(enum NPY_TYPES) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
        } else if (sizeof(enum NPY_TYPES) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
        }
    } else {
        if (sizeof(enum NPY_TYPES) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(enum NPY_TYPES) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(enum NPY_TYPES),
                                     little, !is_unsigned);
    }
}

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;
}

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);
}

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;
}

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;
}

static CYTHON_INLINE char __Pyx_PyInt_As_char(PyObject *x) {
    const char neg_one = (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))
            } else if (sizeof(char) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(char, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            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) 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))
            } else if (sizeof(char) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(char, PY_LONG_LONG, PyLong_AsLongLong(x))
            }
        }
        {
#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_Int(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_Int(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;
}

static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *x) {
    const long neg_one = (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))
            } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            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) 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))
            } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, PY_LONG_LONG, PyLong_AsLongLong(x))
            }
        }
        {
#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_Int(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_Int(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;
}

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;
}

#include <structmember.h>
#include <frameobject.h>
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);
#define __Pyx_Coroutine_Undelegate(gen) Py_CLEAR((gen)->yieldfrom)
#if 1 || PY_VERSION_HEX < 0x030300B0
static int __Pyx_PyGen_FetchStopIterationValue(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 PY_VERSION_HEX >= 0x030300A0
        if (ev && Py_TYPE(ev) == (PyTypeObject*)PyExc_StopIteration) {
            value = ((PyStopIterationObject *)ev)->value;
            Py_INCREF(value);
            Py_DECREF(ev);
            Py_XDECREF(tb);
            Py_DECREF(et);
            *pvalue = value;
            return 0;
        }
#endif
        if (!ev || !PyObject_TypeCheck(ev, (PyTypeObject*)PyExc_StopIteration)) {
            if (!ev) {
                Py_INCREF(Py_None);
                ev = Py_None;
            } else if (PyTuple_Check(ev)) {
                if (PyTuple_GET_SIZE(ev) >= 1) {
                    PyObject *value;
#if CYTHON_COMPILING_IN_CPYTHON
                    value = PySequence_ITEM(ev, 0);
#else
                    value = PyTuple_GET_ITEM(ev, 0);
                    Py_INCREF(value);
#endif
                    Py_DECREF(ev);
                    ev = value;
                } else {
                    Py_INCREF(Py_None);
                    Py_DECREF(ev);
                    ev = Py_None;
                }
            }
            Py_XDECREF(tb);
            Py_DECREF(et);
            *pvalue = ev;
            return 0;
        }
    } else if (!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;
}
#endif
static CYTHON_INLINE
void __Pyx_Coroutine_ExceptionClear(__pyx_CoroutineObject *self) {
    PyObject *exc_type = self->exc_type;
    PyObject *exc_value = self->exc_value;
    PyObject *exc_traceback = self->exc_traceback;
    self->exc_type = NULL;
    self->exc_value = NULL;
    self->exc_traceback = NULL;
    Py_XDECREF(exc_type);
    Py_XDECREF(exc_value);
    Py_XDECREF(exc_traceback);
}
static CYTHON_INLINE
int __Pyx_Coroutine_CheckRunning(__pyx_CoroutineObject *gen) {
    if (unlikely(gen->is_running)) {
        PyErr_SetString(PyExc_ValueError,
                        "generator already executing");
        return 1;
    }
    return 0;
}
static CYTHON_INLINE
PyObject *__Pyx_Coroutine_SendEx(__pyx_CoroutineObject *self, PyObject *value) {
    PyObject *retval;
    assert(!self->is_running);
    if (unlikely(self->resume_label == 0)) {
        if (unlikely(value && value != Py_None)) {
            PyErr_SetString(PyExc_TypeError,
                            "can't send non-None value to a "
                            "just-started generator");
            return NULL;
        }
    }
    if (unlikely(self->resume_label == -1)) {
        PyErr_SetNone(PyExc_StopIteration);
        return NULL;
    }
    if (value) {
#if CYTHON_COMPILING_IN_PYPY
#else
        if (self->exc_traceback) {
            PyThreadState *tstate = PyThreadState_GET();
            PyTracebackObject *tb = (PyTracebackObject *) self->exc_traceback;
            PyFrameObject *f = tb->tb_frame;
            Py_XINCREF(tstate->frame);
            assert(f->f_back == NULL);
            f->f_back = tstate->frame;
        }
#endif
        __Pyx_ExceptionSwap(&self->exc_type, &self->exc_value,
                            &self->exc_traceback);
    } else {
        __Pyx_Coroutine_ExceptionClear(self);
    }
    self->is_running = 1;
    retval = self->body((PyObject *) self, value);
    self->is_running = 0;
    if (retval) {
        __Pyx_ExceptionSwap(&self->exc_type, &self->exc_value,
                            &self->exc_traceback);
#if CYTHON_COMPILING_IN_PYPY
#else
        if (self->exc_traceback) {
            PyTracebackObject *tb = (PyTracebackObject *) self->exc_traceback;
            PyFrameObject *f = tb->tb_frame;
            Py_CLEAR(f->f_back);
        }
#endif
    } else {
        __Pyx_Coroutine_ExceptionClear(self);
    }
    return retval;
}
static CYTHON_INLINE
PyObject *__Pyx_Coroutine_MethodReturn(PyObject *retval) {
    if (unlikely(!retval && !PyErr_Occurred())) {
        PyErr_SetNone(PyExc_StopIteration);
    }
    return retval;
}
static CYTHON_INLINE
PyObject *__Pyx_Coroutine_FinishDelegation(__pyx_CoroutineObject *gen) {
    PyObject *ret;
    PyObject *val = NULL;
    __Pyx_Coroutine_Undelegate(gen);
    __Pyx_PyGen_FetchStopIterationValue(&val);
    ret = __Pyx_Coroutine_SendEx(gen, val);
    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(__Pyx_Coroutine_CheckRunning(gen)))
        return NULL;
    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_CheckExact(yf)) {
            ret = __Pyx_Coroutine_Send(yf, value);
        } else
        #endif
        {
            if (value == Py_None)
                ret = PyIter_Next(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);
    }
    return __Pyx_Coroutine_MethodReturn(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_CheckExact(yf)) {
        retval = __Pyx_Coroutine_Close(yf);
        if (!retval)
            return -1;
    } 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(__Pyx_Coroutine_CheckRunning(gen)))
        return NULL;
    if (yf) {
        PyObject *ret;
        gen->is_running = 1;
        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);
}
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(__Pyx_Coroutine_CheckRunning(gen)))
        return NULL;
    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);
    if (retval) {
        Py_DECREF(retval);
        PyErr_SetString(PyExc_RuntimeError,
                        "generator ignored GeneratorExit");
        return NULL;
    }
    raised_exception = PyErr_Occurred();
    if (!raised_exception
        || raised_exception == PyExc_StopIteration
        || raised_exception == PyExc_GeneratorExit
        || PyErr_GivenExceptionMatches(raised_exception, PyExc_GeneratorExit)
        || PyErr_GivenExceptionMatches(raised_exception, PyExc_StopIteration))
    {
        if (raised_exception) PyErr_Clear();
        Py_INCREF(Py_None);
        return Py_None;
    }
    return NULL;
}
static PyObject *__Pyx_Coroutine_Throw(PyObject *self, PyObject *args) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    PyObject *typ;
    PyObject *tb = NULL;
    PyObject *val = NULL;
    PyObject *yf = gen->yieldfrom;
    if (!PyArg_UnpackTuple(args, (char *)"throw", 1, 3, &typ, &val, &tb))
        return NULL;
    if (unlikely(__Pyx_Coroutine_CheckRunning(gen)))
        return NULL;
    if (yf) {
        PyObject *ret;
        Py_INCREF(yf);
        if (PyErr_GivenExceptionMatches(typ, PyExc_GeneratorExit)) {
            int err = __Pyx_Coroutine_CloseIter(gen, yf);
            Py_DECREF(yf);
            __Pyx_Coroutine_Undelegate(gen);
            if (err < 0)
                return __Pyx_Coroutine_MethodReturn(__Pyx_Coroutine_SendEx(gen, NULL));
            goto throw_here;
        }
        gen->is_running = 1;
        #ifdef __Pyx_Generator_USED
        if (__Pyx_Generator_CheckExact(yf)) {
            ret = __Pyx_Coroutine_Throw(yf, args);
        } else
        #endif
        #ifdef __Pyx_Coroutine_USED
        if (__Pyx_Coroutine_CheckExact(yf)) {
            ret = __Pyx_Coroutine_Throw(yf, args);
        } else
        #endif
        {
            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;
            }
            ret = PyObject_CallObject(meth, args);
            Py_DECREF(meth);
        }
        gen->is_running = 0;
        Py_DECREF(yf);
        if (!ret) {
            ret = __Pyx_Coroutine_FinishDelegation(gen);
        }
        return __Pyx_Coroutine_MethodReturn(ret);
    }
throw_here:
    __Pyx_Raise(typ, val, tb, NULL);
    return __Pyx_Coroutine_MethodReturn(__Pyx_Coroutine_SendEx(gen, NULL));
}
static int __Pyx_Coroutine_traverse(PyObject *self, visitproc visit, void *arg) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    Py_VISIT(gen->closure);
    Py_VISIT(gen->classobj);
    Py_VISIT(gen->yieldfrom);
    Py_VISIT(gen->exc_type);
    Py_VISIT(gen->exc_value);
    Py_VISIT(gen->exc_traceback);
    return 0;
}
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);
    Py_CLEAR(gen->exc_type);
    Py_CLEAR(gen->exc_value);
    Py_CLEAR(gen->exc_traceback);
    Py_CLEAR(gen->gi_name);
    Py_CLEAR(gen->gi_qualname);
    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
        if (PyObject_CallFinalizerFromDealloc(self))
#else
        Py_TYPE(gen)->tp_del(self);
        if (self->ob_refcnt > 0)
#endif
        {
            return;
        }
        PyObject_GC_UnTrack(self);
    }
    __Pyx_Coroutine_clear(self);
    PyObject_GC_Del(gen);
}
static void __Pyx_Coroutine_del(PyObject *self) {
    PyObject *res;
    PyObject *error_type, *error_value, *error_traceback;
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    if (gen->resume_label <= 0)
        return ;
#if PY_VERSION_HEX < 0x030400a1
    assert(self->ob_refcnt == 0);
    self->ob_refcnt = 1;
#endif
    __Pyx_ErrFetch(&error_type, &error_value, &error_traceback);
    res = __Pyx_Coroutine_Close(self);
    if (res == NULL)
        PyErr_WriteUnraisable(self);
    else
        Py_DECREF(res);
    __Pyx_ErrRestore(error_type, error_value, error_traceback);
#if PY_VERSION_HEX < 0x030400a1
    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)
{
    Py_INCREF(self->gi_name);
    return self->gi_name;
}
static int
__Pyx_Coroutine_set_name(__pyx_CoroutineObject *self, PyObject *value)
{
    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)
{
    Py_INCREF(self->gi_qualname);
    return self->gi_qualname;
}
static int
__Pyx_Coroutine_set_qualname(__pyx_CoroutineObject *self, PyObject *value)
{
    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 *closure, PyObject *name, PyObject *qualname) {
    __pyx_CoroutineObject *gen = PyObject_GC_New(__pyx_CoroutineObject, type);
    if (gen == NULL)
        return NULL;
    gen->body = body;
    gen->closure = closure;
    Py_XINCREF(closure);
    gen->is_running = 0;
    gen->resume_label = 0;
    gen->classobj = NULL;
    gen->yieldfrom = NULL;
    gen->exc_type = NULL;
    gen->exc_value = NULL;
    gen->exc_traceback = NULL;
    gen->gi_weakreflist = NULL;
    Py_XINCREF(qualname);
    gen->gi_qualname = qualname;
    Py_XINCREF(name);
    gen->gi_name = name;
    PyObject_GC_Track(gen);
    return gen;
}

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;
}

#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 (!abc_patched) {
        PyObject *module;
        module = PyImport_ImportModule((PY_VERSION_HEX >= 0x03030000) ? "collections.abc" : "collections");
        if (!module) {
            PyErr_WriteUnraisable(NULL);
            if (unlikely(PyErr_WarnEx(PyExc_RuntimeWarning,
                    ((PY_VERSION_HEX >= 0x03030000) ?
                        "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;
}

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, 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")},
    {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 PY_VERSION_HEX >= 0x030400a1
    0,
#else
    __Pyx_Coroutine_del,
#endif
    0,
#if PY_VERSION_HEX >= 0x030400a1
    __Pyx_Coroutine_del,
#endif
};
static int __pyx_Generator_init(void) {
    __pyx_GeneratorType_type.tp_getattro = PyObject_GenericGetAttr;
    __pyx_GeneratorType_type.tp_iter = PyObject_SelfIter;
    __pyx_GeneratorType = __Pyx_FetchCommonType(&__pyx_GeneratorType_type);
    if (unlikely(!__pyx_GeneratorType)) {
        return -1;
    }
    return 0;
}

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;
}

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 && 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;
}

static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_ds_double(PyObject *obj) {
    __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, 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;
}

static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsds_double(PyObject *obj) {
    __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, 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;
}

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;
}

#ifndef __PYX_HAVE_RT_ImportModule
#define __PYX_HAVE_RT_ImportModule
static PyObject *__Pyx_ImportModule(const char *name) {
    PyObject *py_name = 0;
    PyObject *py_module = 0;
    py_name = __Pyx_PyIdentifier_FromString(name);
    if (!py_name)
        goto bad;
    py_module = PyImport_Import(py_name);
    Py_DECREF(py_name);
    return py_module;
bad:
    Py_XDECREF(py_name);
    return 0;
}
#endif

#ifndef __PYX_HAVE_RT_ImportType
#define __PYX_HAVE_RT_ImportType
static PyTypeObject *__Pyx_ImportType(const char *module_name, const char *class_name,
    size_t size, int strict)
{
    PyObject *py_module = 0;
    PyObject *result = 0;
    PyObject *py_name = 0;
    char warning[200];
    Py_ssize_t basicsize;
#ifdef Py_LIMITED_API
    PyObject *py_basicsize;
#endif
    py_module = __Pyx_ImportModule(module_name);
    if (!py_module)
        goto bad;
    py_name = __Pyx_PyIdentifier_FromString(class_name);
    if (!py_name)
        goto bad;
    result = PyObject_GetAttr(py_module, py_name);
    Py_DECREF(py_name);
    py_name = 0;
    Py_DECREF(py_module);
    py_module = 0;
    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 (!strict && (size_t)basicsize > size) {
        PyOS_snprintf(warning, sizeof(warning),
            "%s.%s size changed, may indicate binary incompatibility",
            module_name, class_name);
        if (PyErr_WarnEx(NULL, warning, 0) < 0) goto bad;
    }
    else if ((size_t)basicsize != size) {
        PyErr_Format(PyExc_ValueError,
            "%.200s.%.200s has the wrong size, try recompiling",
            module_name, class_name);
        goto bad;
    }
    return (PyTypeObject *)result;
bad:
    Py_XDECREF(py_module);
    Py_XDECREF(result);
    return NULL;
}
#endif

#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

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;
        ++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 char* __Pyx_PyObject_AsString(PyObject* o) {
    Py_ssize_t ignore;
    return __Pyx_PyObject_AsStringAndSize(o, &ignore);
}
static CYTHON_INLINE char* __Pyx_PyObject_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
#if CYTHON_COMPILING_IN_CPYTHON && (__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)) {
#if PY_VERSION_HEX < 0x03030000
        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
        if (__Pyx_PyUnicode_READY(o) == -1) return NULL;
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
        if (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
    } 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 PyObject* __Pyx_PyNumber_Int(PyObject* x) {
  PyNumberMethods *m;
  const char *name = NULL;
  PyObject *res = NULL;
#if PY_MAJOR_VERSION < 3
  if (PyInt_Check(x) || PyLong_Check(x))
#else
  if (PyLong_Check(x))
#endif
    return __Pyx_NewRef(x);
  m = Py_TYPE(x)->tp_as_number;
#if PY_MAJOR_VERSION < 3
  if (m && m->nb_int) {
    name = "int";
    res = PyNumber_Int(x);
  }
  else if (m && m->nb_long) {
    name = "long";
    res = PyNumber_Long(x);
  }
#else
  if (m && m->nb_int) {
    name = "int";
    res = PyNumber_Long(x);
  }
#endif
  if (res) {
#if PY_MAJOR_VERSION < 3
    if (!PyInt_Check(res) && !PyLong_Check(res)) {
#else
    if (!PyLong_Check(res)) {
#endif
      PyErr_Format(PyExc_TypeError,
                   "__%.4s__ returned non-%.4s (type %.200s)",
                   name, name, Py_TYPE(res)->tp_name);
      Py_DECREF(res);
      return NULL;
    }
  }
  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(x);
  }
#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_PyInt_FromSize_t(size_t ival) {
    return PyInt_FromSize_t(ival);
}


#endif /* Py_PYTHON_H */
