/* Generated by Cython 0.20.2 (Debian 0.20.2-1) on Sun Jan 11 16:15:22 2015 */

#define PY_SSIZE_T_CLEAN
#ifndef CYTHON_USE_PYLONG_INTERNALS
#ifdef PYLONG_BITS_IN_DIGIT
#define CYTHON_USE_PYLONG_INTERNALS 0
#else
#include "pyconfig.h"
#ifdef PYLONG_BITS_IN_DIGIT
#define CYTHON_USE_PYLONG_INTERNALS 1
#else
#define CYTHON_USE_PYLONG_INTERNALS 0
#endif
#endif
#endif
#include "Python.h"
#ifndef Py_PYTHON_H
    #error Python headers needed to compile C extensions, please install development version of Python.
#elif PY_VERSION_HEX < 0x02040000
    #error Cython requires Python 2.4+.
#else
#define CYTHON_ABI "0_20_2"
#include <stddef.h> /* For offsetof */
#ifndef offsetof
#define offsetof(type, member) ( (size_t) & ((type*)0) -> member )
#endif
#if !defined(WIN32) && !defined(MS_WINDOWS)
  #ifndef __stdcall
    #define __stdcall
  #endif
  #ifndef __cdecl
    #define __cdecl
  #endif
  #ifndef __fastcall
    #define __fastcall
  #endif
#endif
#ifndef DL_IMPORT
  #define DL_IMPORT(t) t
#endif
#ifndef DL_EXPORT
  #define DL_EXPORT(t) t
#endif
#ifndef PY_LONG_LONG
  #define PY_LONG_LONG LONG_LONG
#endif
#ifndef Py_HUGE_VAL
  #define Py_HUGE_VAL HUGE_VAL
#endif
#ifdef PYPY_VERSION
#define CYTHON_COMPILING_IN_PYPY 1
#define CYTHON_COMPILING_IN_CPYTHON 0
#else
#define CYTHON_COMPILING_IN_PYPY 0
#define CYTHON_COMPILING_IN_CPYTHON 1
#endif
#if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x02070600
#define Py_OptimizeFlag 0
#endif
#if PY_VERSION_HEX < 0x02050000
  typedef int Py_ssize_t;
  #define PY_SSIZE_T_MAX INT_MAX
  #define PY_SSIZE_T_MIN INT_MIN
  #define PY_FORMAT_SIZE_T ""
  #define CYTHON_FORMAT_SSIZE_T ""
  #define PyInt_FromSsize_t(z) PyInt_FromLong(z)
  #define PyInt_AsSsize_t(o)   __Pyx_PyInt_As_int(o)
  #define PyNumber_Index(o)    ((PyNumber_Check(o) && !PyFloat_Check(o)) ? PyNumber_Int(o) : \
                                (PyErr_Format(PyExc_TypeError, \
                                              "expected index value, got %.200s", Py_TYPE(o)->tp_name), \
                                 (PyObject*)0))
  #define __Pyx_PyIndex_Check(o) (PyNumber_Check(o) && !PyFloat_Check(o) && \
                                  !PyComplex_Check(o))
  #define PyIndex_Check __Pyx_PyIndex_Check
  #define PyErr_WarnEx(category, message, stacklevel) PyErr_Warn(category, message)
  #define __PYX_BUILD_PY_SSIZE_T "i"
#else
  #define __PYX_BUILD_PY_SSIZE_T "n"
  #define CYTHON_FORMAT_SSIZE_T "z"
  #define __Pyx_PyIndex_Check PyIndex_Check
#endif
#if PY_VERSION_HEX < 0x02060000
  #define Py_REFCNT(ob) (((PyObject*)(ob))->ob_refcnt)
  #define Py_TYPE(ob)   (((PyObject*)(ob))->ob_type)
  #define Py_SIZE(ob)   (((PyVarObject*)(ob))->ob_size)
  #define PyVarObject_HEAD_INIT(type, size) \
          PyObject_HEAD_INIT(type) size,
  #define PyType_Modified(t)
  typedef struct {
     void *buf;
     PyObject *obj;
     Py_ssize_t len;
     Py_ssize_t itemsize;
     int readonly;
     int ndim;
     char *format;
     Py_ssize_t *shape;
     Py_ssize_t *strides;
     Py_ssize_t *suboffsets;
     void *internal;
  } Py_buffer;
  #define PyBUF_SIMPLE 0
  #define PyBUF_WRITABLE 0x0001
  #define PyBUF_FORMAT 0x0004
  #define PyBUF_ND 0x0008
  #define PyBUF_STRIDES (0x0010 | PyBUF_ND)
  #define PyBUF_C_CONTIGUOUS (0x0020 | PyBUF_STRIDES)
  #define PyBUF_F_CONTIGUOUS (0x0040 | PyBUF_STRIDES)
  #define PyBUF_ANY_CONTIGUOUS (0x0080 | PyBUF_STRIDES)
  #define PyBUF_INDIRECT (0x0100 | PyBUF_STRIDES)
  #define PyBUF_RECORDS (PyBUF_STRIDES | PyBUF_FORMAT | PyBUF_WRITABLE)
  #define PyBUF_FULL (PyBUF_INDIRECT | PyBUF_FORMAT | PyBUF_WRITABLE)
  typedef int (*getbufferproc)(PyObject *, Py_buffer *, int);
  typedef void (*releasebufferproc)(PyObject *, Py_buffer *);
#endif
#if PY_MAJOR_VERSION < 3
  #define __Pyx_BUILTIN_MODULE_NAME "__builtin__"
  #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos) \
          PyCode_New(a+k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
  #define __Pyx_DefaultClassType PyClass_Type
#else
  #define __Pyx_BUILTIN_MODULE_NAME "builtins"
  #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos) \
          PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
  #define __Pyx_DefaultClassType PyType_Type
#endif
#if PY_VERSION_HEX < 0x02060000
  #define PyUnicode_FromString(s) PyUnicode_Decode(s, strlen(s), "UTF-8", "strict")
#endif
#if PY_MAJOR_VERSION >= 3
  #define Py_TPFLAGS_CHECKTYPES 0
  #define Py_TPFLAGS_HAVE_INDEX 0
#endif
#if (PY_VERSION_HEX < 0x02060000) || (PY_MAJOR_VERSION >= 3)
  #define Py_TPFLAGS_HAVE_NEWBUFFER 0
#endif
#if PY_VERSION_HEX < 0x02060000
  #define Py_TPFLAGS_HAVE_VERSION_TAG 0
#endif
#if PY_VERSION_HEX < 0x02060000 && !defined(Py_TPFLAGS_IS_ABSTRACT)
  #define Py_TPFLAGS_IS_ABSTRACT 0
#endif
#if PY_VERSION_HEX < 0x030400a1 && !defined(Py_TPFLAGS_HAVE_FINALIZE)
  #define Py_TPFLAGS_HAVE_FINALIZE 0
#endif
#if PY_VERSION_HEX > 0x03030000 && defined(PyUnicode_KIND)
  #define CYTHON_PEP393_ENABLED 1
  #define __Pyx_PyUnicode_READY(op)       (likely(PyUnicode_IS_READY(op)) ? \
                                              0 : _PyUnicode_Ready((PyObject *)(op)))
  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GET_LENGTH(u)
  #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_READ_CHAR(u, i)
  #define __Pyx_PyUnicode_KIND(u)         PyUnicode_KIND(u)
  #define __Pyx_PyUnicode_DATA(u)         PyUnicode_DATA(u)
  #define __Pyx_PyUnicode_READ(k, d, i)   PyUnicode_READ(k, d, i)
#else
  #define CYTHON_PEP393_ENABLED 0
  #define __Pyx_PyUnicode_READY(op)       (0)
  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GET_SIZE(u)
  #define __Pyx_PyUnicode_READ_CHAR(u, i) ((Py_UCS4)(PyUnicode_AS_UNICODE(u)[i]))
  #define __Pyx_PyUnicode_KIND(u)         (sizeof(Py_UNICODE))
  #define __Pyx_PyUnicode_DATA(u)         ((void*)PyUnicode_AS_UNICODE(u))
  #define __Pyx_PyUnicode_READ(k, d, i)   ((void)(k), (Py_UCS4)(((Py_UNICODE*)d)[i]))
#endif
#if CYTHON_COMPILING_IN_PYPY
  #define __Pyx_PyUnicode_Concat(a, b)      PyNumber_Add(a, b)
  #define __Pyx_PyUnicode_ConcatSafe(a, b)  PyNumber_Add(a, b)
#else
  #define __Pyx_PyUnicode_Concat(a, b)      PyUnicode_Concat(a, b)
  #define __Pyx_PyUnicode_ConcatSafe(a, b)  ((unlikely((a) == Py_None) || unlikely((b) == Py_None)) ? \
      PyNumber_Add(a, b) : __Pyx_PyUnicode_Concat(a, b))
#endif
#define __Pyx_PyString_FormatSafe(a, b)  ((unlikely((a) == Py_None)) ? PyNumber_Remainder(a, b) : __Pyx_PyString_Format(a, b))
#define __Pyx_PyUnicode_FormatSafe(a, b)  ((unlikely((a) == Py_None)) ? PyNumber_Remainder(a, b) : PyUnicode_Format(a, b))
#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyString_Format(a, b)  PyUnicode_Format(a, b)
#else
  #define __Pyx_PyString_Format(a, b)  PyString_Format(a, b)
#endif
#if PY_MAJOR_VERSION >= 3
  #define PyBaseString_Type            PyUnicode_Type
  #define PyStringObject               PyUnicodeObject
  #define PyString_Type                PyUnicode_Type
  #define PyString_Check               PyUnicode_Check
  #define PyString_CheckExact          PyUnicode_CheckExact
#endif
#if PY_VERSION_HEX < 0x02060000
  #define PyBytesObject                PyStringObject
  #define PyBytes_Type                 PyString_Type
  #define PyBytes_Check                PyString_Check
  #define PyBytes_CheckExact           PyString_CheckExact
  #define PyBytes_FromString           PyString_FromString
  #define PyBytes_FromStringAndSize    PyString_FromStringAndSize
  #define PyBytes_FromFormat           PyString_FromFormat
  #define PyBytes_DecodeEscape         PyString_DecodeEscape
  #define PyBytes_AsString             PyString_AsString
  #define PyBytes_AsStringAndSize      PyString_AsStringAndSize
  #define PyBytes_Size                 PyString_Size
  #define PyBytes_AS_STRING            PyString_AS_STRING
  #define PyBytes_GET_SIZE             PyString_GET_SIZE
  #define PyBytes_Repr                 PyString_Repr
  #define PyBytes_Concat               PyString_Concat
  #define PyBytes_ConcatAndDel         PyString_ConcatAndDel
#endif
#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyBaseString_Check(obj) PyUnicode_Check(obj)
  #define __Pyx_PyBaseString_CheckExact(obj) PyUnicode_CheckExact(obj)
#else
  #define __Pyx_PyBaseString_Check(obj) (PyString_CheckExact(obj) || PyUnicode_CheckExact(obj) || \
                                         PyString_Check(obj) || PyUnicode_Check(obj))
  #define __Pyx_PyBaseString_CheckExact(obj) (PyString_CheckExact(obj) || PyUnicode_CheckExact(obj))
#endif
#if PY_VERSION_HEX < 0x02060000
  #define PySet_Check(obj)             PyObject_TypeCheck(obj, &PySet_Type)
  #define PyFrozenSet_Check(obj)       PyObject_TypeCheck(obj, &PyFrozenSet_Type)
#endif
#ifndef PySet_CheckExact
  #define PySet_CheckExact(obj)        (Py_TYPE(obj) == &PySet_Type)
#endif
#define __Pyx_TypeCheck(obj, type) PyObject_TypeCheck(obj, (PyTypeObject *)type)
#if PY_MAJOR_VERSION >= 3
  #define PyIntObject                  PyLongObject
  #define PyInt_Type                   PyLong_Type
  #define PyInt_Check(op)              PyLong_Check(op)
  #define PyInt_CheckExact(op)         PyLong_CheckExact(op)
  #define PyInt_FromString             PyLong_FromString
  #define PyInt_FromUnicode            PyLong_FromUnicode
  #define PyInt_FromLong               PyLong_FromLong
  #define PyInt_FromSize_t             PyLong_FromSize_t
  #define PyInt_FromSsize_t            PyLong_FromSsize_t
  #define PyInt_AsLong                 PyLong_AsLong
  #define PyInt_AS_LONG                PyLong_AS_LONG
  #define PyInt_AsSsize_t              PyLong_AsSsize_t
  #define PyInt_AsUnsignedLongMask     PyLong_AsUnsignedLongMask
  #define PyInt_AsUnsignedLongLongMask PyLong_AsUnsignedLongLongMask
  #define PyNumber_Int                 PyNumber_Long
#endif
#if PY_MAJOR_VERSION >= 3
  #define PyBoolObject                 PyLongObject
#endif
#if PY_VERSION_HEX < 0x030200A4
  typedef long Py_hash_t;
  #define __Pyx_PyInt_FromHash_t PyInt_FromLong
  #define __Pyx_PyInt_AsHash_t   PyInt_AsLong
#else
  #define __Pyx_PyInt_FromHash_t PyInt_FromSsize_t
  #define __Pyx_PyInt_AsHash_t   PyInt_AsSsize_t
#endif
#if (PY_MAJOR_VERSION < 3) || (PY_VERSION_HEX >= 0x03010300)
  #define __Pyx_PySequence_GetSlice(obj, a, b) PySequence_GetSlice(obj, a, b)
  #define __Pyx_PySequence_SetSlice(obj, a, b, value) PySequence_SetSlice(obj, a, b, value)
  #define __Pyx_PySequence_DelSlice(obj, a, b) PySequence_DelSlice(obj, a, b)
#else
  #define __Pyx_PySequence_GetSlice(obj, a, b) (unlikely(!(obj)) ? \
        (PyErr_SetString(PyExc_SystemError, "null argument to internal routine"), (PyObject*)0) : \
        (likely((obj)->ob_type->tp_as_mapping) ? (PySequence_GetSlice(obj, a, b)) : \
            (PyErr_Format(PyExc_TypeError, "'%.200s' object is unsliceable", (obj)->ob_type->tp_name), (PyObject*)0)))
  #define __Pyx_PySequence_SetSlice(obj, a, b, value) (unlikely(!(obj)) ? \
        (PyErr_SetString(PyExc_SystemError, "null argument to internal routine"), -1) : \
        (likely((obj)->ob_type->tp_as_mapping) ? (PySequence_SetSlice(obj, a, b, value)) : \
            (PyErr_Format(PyExc_TypeError, "'%.200s' object doesn't support slice assignment", (obj)->ob_type->tp_name), -1)))
  #define __Pyx_PySequence_DelSlice(obj, a, b) (unlikely(!(obj)) ? \
        (PyErr_SetString(PyExc_SystemError, "null argument to internal routine"), -1) : \
        (likely((obj)->ob_type->tp_as_mapping) ? (PySequence_DelSlice(obj, a, b)) : \
            (PyErr_Format(PyExc_TypeError, "'%.200s' object doesn't support slice deletion", (obj)->ob_type->tp_name), -1)))
#endif
#if PY_MAJOR_VERSION >= 3
  #define PyMethod_New(func, self, klass) ((self) ? PyMethod_New(func, self) : PyInstanceMethod_New(func))
#endif
#if PY_VERSION_HEX < 0x02050000
  #define __Pyx_GetAttrString(o,n)   PyObject_GetAttrString((o),((char *)(n)))
  #define __Pyx_SetAttrString(o,n,a) PyObject_SetAttrString((o),((char *)(n)),(a))
  #define __Pyx_DelAttrString(o,n)   PyObject_DelAttrString((o),((char *)(n)))
#else
  #define __Pyx_GetAttrString(o,n)   PyObject_GetAttrString((o),(n))
  #define __Pyx_SetAttrString(o,n,a) PyObject_SetAttrString((o),(n),(a))
  #define __Pyx_DelAttrString(o,n)   PyObject_DelAttrString((o),(n))
#endif
#if PY_VERSION_HEX < 0x02050000
  #define __Pyx_NAMESTR(n) ((char *)(n))
  #define __Pyx_DOCSTR(n)  ((char *)(n))
#else
  #define __Pyx_NAMESTR(n) (n)
  #define __Pyx_DOCSTR(n)  (n)
#endif
#ifndef CYTHON_INLINE
  #if defined(__GNUC__)
    #define CYTHON_INLINE __inline__
  #elif defined(_MSC_VER)
    #define CYTHON_INLINE __inline
  #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define CYTHON_INLINE inline
  #else
    #define CYTHON_INLINE
  #endif
#endif
#ifndef CYTHON_RESTRICT
  #if defined(__GNUC__)
    #define CYTHON_RESTRICT __restrict__
  #elif defined(_MSC_VER) && _MSC_VER >= 1400
    #define CYTHON_RESTRICT __restrict
  #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define CYTHON_RESTRICT restrict
  #else
    #define CYTHON_RESTRICT
  #endif
#endif
#ifdef NAN
#define __PYX_NAN() ((float) NAN)
#else
static CYTHON_INLINE float __PYX_NAN() {
  /* Initialize NaN. The sign is irrelevant, an exponent with all bits 1 and
   a nonzero mantissa means NaN. If the first bit in the mantissa is 1, it is
   a quiet NaN. */
  float value;
  memset(&value, 0xFF, sizeof(value));
  return value;
}
#endif
#ifdef __cplusplus
template<typename T>
void __Pyx_call_destructor(T* x) {
    x->~T();
}
#endif


#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_TrueDivide(x,y)
  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceTrueDivide(x,y)
#else
  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_Divide(x,y)
  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceDivide(x,y)
#endif

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

#if defined(WIN32) || defined(MS_WINDOWS)
#define _USE_MATH_DEFINES
#endif
#include <math.h>
#define __PYX_HAVE__scipy__sparse__csgraph___shortest_path
#define __PYX_HAVE_API__scipy__sparse__csgraph___shortest_path
#include "string.h"
#include "stdio.h"
#include "stdlib.h"
#include "numpy/arrayobject.h"
#include "numpy/ufuncobject.h"
#ifdef _OPENMP
#include <omp.h>
#endif /* _OPENMP */

#ifdef PYREX_WITHOUT_ASSERTIONS
#define CYTHON_WITHOUT_ASSERTIONS
#endif

#ifndef CYTHON_UNUSED
# if defined(__GNUC__)
#   if !(defined(__cplusplus)) || (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 4))
#     define CYTHON_UNUSED __attribute__ ((__unused__))
#   else
#     define CYTHON_UNUSED
#   endif
# elif defined(__ICC) || (defined(__INTEL_COMPILER) && !defined(_MSC_VER))
#   define CYTHON_UNUSED __attribute__ ((__unused__))
# else
#   define CYTHON_UNUSED
# endif
#endif
typedef struct {PyObject **p; char *s; const Py_ssize_t n; const char* encoding;
                const char is_unicode; const char is_str; const char intern; } __Pyx_StringTabEntry; /*proto*/

#define __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 0
#define __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT 0
#define __PYX_DEFAULT_STRING_ENCODING ""
#define __Pyx_PyObject_FromString __Pyx_PyBytes_FromString
#define __Pyx_PyObject_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
#define __Pyx_fits_Py_ssize_t(v, type, is_signed)  (    \
    (sizeof(type) < sizeof(Py_ssize_t))  ||             \
    (sizeof(type) > sizeof(Py_ssize_t) &&               \
          likely(v < (type)PY_SSIZE_T_MAX ||            \
                 v == (type)PY_SSIZE_T_MAX)  &&         \
          (!is_signed || likely(v > (type)PY_SSIZE_T_MIN ||       \
                                v == (type)PY_SSIZE_T_MIN)))  ||  \
    (sizeof(type) == sizeof(Py_ssize_t) &&              \
          (is_signed || likely(v < (type)PY_SSIZE_T_MAX ||        \
                               v == (type)PY_SSIZE_T_MAX)))  )
static CYTHON_INLINE char* __Pyx_PyObject_AsString(PyObject*);
static CYTHON_INLINE char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length);
#define __Pyx_PyByteArray_FromString(s) PyByteArray_FromStringAndSize((const char*)s, strlen((const char*)s))
#define __Pyx_PyByteArray_FromStringAndSize(s, l) PyByteArray_FromStringAndSize((const char*)s, l)
#define __Pyx_PyBytes_FromString        PyBytes_FromString
#define __Pyx_PyBytes_FromStringAndSize PyBytes_FromStringAndSize
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char*);
#if PY_MAJOR_VERSION < 3
    #define __Pyx_PyStr_FromString        __Pyx_PyBytes_FromString
    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
#else
    #define __Pyx_PyStr_FromString        __Pyx_PyUnicode_FromString
    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyUnicode_FromStringAndSize
#endif
#define __Pyx_PyObject_AsSString(s)    ((signed char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsUString(s)    ((unsigned char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_FromUString(s)  __Pyx_PyObject_FromString((const char*)s)
#define __Pyx_PyBytes_FromUString(s)   __Pyx_PyBytes_FromString((const char*)s)
#define __Pyx_PyByteArray_FromUString(s)   __Pyx_PyByteArray_FromString((const char*)s)
#define __Pyx_PyStr_FromUString(s)     __Pyx_PyStr_FromString((const char*)s)
#define __Pyx_PyUnicode_FromUString(s) __Pyx_PyUnicode_FromString((const char*)s)
#if PY_MAJOR_VERSION < 3
static CYTHON_INLINE size_t __Pyx_Py_UNICODE_strlen(const Py_UNICODE *u)
{
    const Py_UNICODE *u_end = u;
    while (*u_end++) ;
    return (size_t)(u_end - u - 1);
}
#else
#define __Pyx_Py_UNICODE_strlen Py_UNICODE_strlen
#endif
#define __Pyx_PyUnicode_FromUnicode(u)       PyUnicode_FromUnicode(u, __Pyx_Py_UNICODE_strlen(u))
#define __Pyx_PyUnicode_FromUnicodeAndLength PyUnicode_FromUnicode
#define __Pyx_PyUnicode_AsUnicode            PyUnicode_AsUnicode
#define __Pyx_Owned_Py_None(b) (Py_INCREF(Py_None), Py_None)
#define __Pyx_PyBool_FromLong(b) ((b) ? (Py_INCREF(Py_True), Py_True) : (Py_INCREF(Py_False), Py_False))
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject*);
static CYTHON_INLINE PyObject* __Pyx_PyNumber_Int(PyObject* x);
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t);
#if CYTHON_COMPILING_IN_CPYTHON
#define __pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x))
#else
#define __pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x)
#endif
#define __pyx_PyFloat_AsFloat(x) ((float) __pyx_PyFloat_AsDouble(x))
#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
static int __Pyx_sys_getdefaultencoding_not_ascii;
static int __Pyx_init_sys_getdefaultencoding_params(void) {
    PyObject* sys;
    PyObject* default_encoding = NULL;
    PyObject* ascii_chars_u = NULL;
    PyObject* ascii_chars_b = NULL;
    const char* default_encoding_c;
    sys = PyImport_ImportModule("sys");
    if (!sys) goto bad;
    default_encoding = PyObject_CallMethod(sys, (char*) (const char*) "getdefaultencoding", NULL);
    Py_DECREF(sys);
    if (!default_encoding) goto bad;
    default_encoding_c = PyBytes_AsString(default_encoding);
    if (!default_encoding_c) goto bad;
    if (strcmp(default_encoding_c, "ascii") == 0) {
        __Pyx_sys_getdefaultencoding_not_ascii = 0;
    } else {
        char ascii_chars[128];
        int c;
        for (c = 0; c < 128; c++) {
            ascii_chars[c] = c;
        }
        __Pyx_sys_getdefaultencoding_not_ascii = 1;
        ascii_chars_u = PyUnicode_DecodeASCII(ascii_chars, 128, NULL);
        if (!ascii_chars_u) goto bad;
        ascii_chars_b = PyUnicode_AsEncodedString(ascii_chars_u, default_encoding_c, NULL);
        if (!ascii_chars_b || !PyBytes_Check(ascii_chars_b) || memcmp(ascii_chars, PyBytes_AS_STRING(ascii_chars_b), 128) != 0) {
            PyErr_Format(
                PyExc_ValueError,
                "This module compiled with c_string_encoding=ascii, but default encoding '%.200s' is not a superset of ascii.",
                default_encoding_c);
            goto bad;
        }
        Py_DECREF(ascii_chars_u);
        Py_DECREF(ascii_chars_b);
    }
    Py_DECREF(default_encoding);
    return 0;
bad:
    Py_XDECREF(default_encoding);
    Py_XDECREF(ascii_chars_u);
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/* Test for GCC > 2.95 */
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/* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":723
 * # 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;

/* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":724
 * 
 * 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;

/* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":725
 * 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;

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

/* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":730
 * #ctypedef npy_int128     int128_t
 * 
 * ctypedef npy_uint8      uint8_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t
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typedef npy_uint8 __pyx_t_5numpy_uint8_t;

/* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":731
 * 
 * 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;

/* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":732
 * 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;

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

/* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":737
 * #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;

/* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":738
 * 
 * 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;

/* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":747
 * # The int types are mapped a bit surprising --
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 * ctypedef npy_long       int_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longlong   long_t
 * ctypedef npy_longlong   longlong_t
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typedef npy_long __pyx_t_5numpy_int_t;

/* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":748
 * # 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;

/* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":749
 * 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;

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

/* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":752
 * 
 * ctypedef npy_ulong      uint_t
 * ctypedef npy_ulonglong  ulong_t             # <<<<<<<<<<<<<<
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 */
typedef npy_ulonglong __pyx_t_5numpy_ulong_t;

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

/* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":755
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 * ctypedef npy_intp       intp_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uintp      uintp_t
 * 
 */
typedef npy_intp __pyx_t_5numpy_intp_t;

/* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":756
 * 
 * ctypedef npy_intp       intp_t
 * ctypedef npy_uintp      uintp_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_double     float_t
 */
typedef npy_uintp __pyx_t_5numpy_uintp_t;

/* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":758
 * ctypedef npy_uintp      uintp_t
 * 
 * ctypedef npy_double     float_t             # <<<<<<<<<<<<<<
 * ctypedef npy_double     double_t
 * ctypedef npy_longdouble longdouble_t
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typedef npy_double __pyx_t_5numpy_float_t;

/* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":759
 * 
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t             # <<<<<<<<<<<<<<
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 * 
 */
typedef npy_double __pyx_t_5numpy_double_t;

/* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":760
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t
 * ctypedef npy_longdouble longdouble_t             # <<<<<<<<<<<<<<
 * 
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typedef npy_longdouble __pyx_t_5numpy_longdouble_t;

/* "/mnt/data/pauli/prj/scipy/scipy/scipy/sparse/csgraph/parameters.pxi":3
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typedef __pyx_t_5numpy_float64_t __pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_DTYPE_t;

/* "/mnt/data/pauli/prj/scipy/scipy/scipy/sparse/csgraph/parameters.pxi":6
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typedef __pyx_t_5numpy_int32_t __pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_ITYPE_t;
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/*--- Type declarations ---*/

/* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":762
 * ctypedef npy_longdouble longdouble_t
 * 
 * ctypedef npy_cfloat      cfloat_t             # <<<<<<<<<<<<<<
 * ctypedef npy_cdouble     cdouble_t
 * ctypedef npy_clongdouble clongdouble_t
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typedef npy_cfloat __pyx_t_5numpy_cfloat_t;

/* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":763
 * 
 * ctypedef npy_cfloat      cfloat_t
 * ctypedef npy_cdouble     cdouble_t             # <<<<<<<<<<<<<<
 * ctypedef npy_clongdouble clongdouble_t
 * 
 */
typedef npy_cdouble __pyx_t_5numpy_cdouble_t;

/* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":764
 * ctypedef npy_cfloat      cfloat_t
 * ctypedef npy_cdouble     cdouble_t
 * ctypedef npy_clongdouble clongdouble_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_cdouble     complex_t
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typedef npy_clongdouble __pyx_t_5numpy_clongdouble_t;

/* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":766
 * ctypedef npy_clongdouble clongdouble_t
 * 
 * ctypedef npy_cdouble     complex_t             # <<<<<<<<<<<<<<
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typedef npy_cdouble __pyx_t_5numpy_complex_t;
struct __pyx_opt_args_5scipy_6sparse_7csgraph_14_shortest_path__floyd_warshall;
struct __pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_FibonacciNode;
struct __pyx_opt_args_5scipy_6sparse_7csgraph_14_shortest_path_initialize_node;
struct __pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_FibonacciHeap;

/* "scipy/sparse/csgraph/_shortest_path.pyx":1066
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enum __pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_FibonacciState {
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/* "scipy/sparse/csgraph/_shortest_path.pyx":250
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struct __pyx_opt_args_5scipy_6sparse_7csgraph_14_shortest_path__floyd_warshall {
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/* "scipy/sparse/csgraph/_shortest_path.pyx":1072
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 *     unsigned int rank
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struct __pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_FibonacciNode {
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  __pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_DTYPE_t val;
  struct __pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_FibonacciNode *parent;
  struct __pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_FibonacciNode *left_sibling;
  struct __pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_FibonacciNode *right_sibling;
  struct __pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_FibonacciNode *children;
};

/* "scipy/sparse/csgraph/_shortest_path.pyx":1083
 * 
 * 
 * cdef void initialize_node(FibonacciNode* node,             # <<<<<<<<<<<<<<
 *                           unsigned int index,
 *                           DTYPE_t val=0):
 */
struct __pyx_opt_args_5scipy_6sparse_7csgraph_14_shortest_path_initialize_node {
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/* "scipy/sparse/csgraph/_shortest_path.pyx":1169
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 * 
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 * 
 */
typedef struct __pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_FibonacciNode *__pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_pFibonacciNode;

/* "scipy/sparse/csgraph/_shortest_path.pyx":1172
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 * 
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struct __pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_FibonacciHeap {
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static int __Pyx_ParseOptionalKeywords(PyObject *kwds, PyObject **argnames[], \
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#define __Pyx_PyObject_AsDouble(obj) \
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#define __Pyx_BufPtrCContig1d(type, buf, i0, s0) ((type)buf + i0)
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static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index);

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

static PyObject *__Pyx_CalculateMetaclass(PyTypeObject *metaclass, PyObject *bases);

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static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *m,
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static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *m,
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static PyObject *__Pyx_Py3MetaclassPrepare(PyObject *metaclass, PyObject *bases, PyObject *name, PyObject *qualname,
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static Py_ssize_t __Pyx_zeros[] = {0, 0, 0, 0, 0, 0, 0, 0};
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static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level); /*proto*/

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value);

static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *);

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_npy_int32(npy_int32 value);

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    #define __Pyx_SET_CREAL(z,x) __Pyx_CREAL(z) = (x)
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    #define __Pyx_c_sumf(a, b)  ((a)+(b))
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    #define __Pyx_c_is_zerof(z) ((z)==(float)0)
    #define __Pyx_c_conjf(z)    (::std::conj(z))
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        #define __Pyx_c_absf(z)     (::std::abs(z))
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    #define __Pyx_c_is_zerof(z) ((z)==0)
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        #define __Pyx_c_absf(z)     (cabsf(z))
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static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *);

static int __Pyx_check_binary_version(void);

#if !defined(__Pyx_PyIdentifier_FromString)
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static PyObject *__Pyx_ImportModule(const char *name); /*proto*/

static PyTypeObject *__Pyx_ImportType(const char *module_name, const char *class_name, size_t size, int strict);  /*proto*/

typedef struct {
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static void __Pyx_AddTraceback(const char *funcname, int c_line,
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/* Module declarations from 'cpython.buffer' */

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

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

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

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

/* Module declarations from '__builtin__' */

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

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

/* Module declarations from 'numpy' */

/* Module declarations from 'numpy' */
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static PyTypeObject *__pyx_ptype_5numpy_flatiter = 0;
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static CYTHON_INLINE char *__pyx_f_5numpy__util_dtypestring(PyArray_Descr *, char *, char *, int *); /*proto*/

/* Module declarations from 'cython' */

/* Module declarations from 'scipy.sparse.csgraph._shortest_path' */
static __pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_DTYPE_t __pyx_v_5scipy_6sparse_7csgraph_14_shortest_path_DTYPE_EPS;
static __pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_ITYPE_t __pyx_v_5scipy_6sparse_7csgraph_14_shortest_path_NULL_IDX;
static void __pyx_f_5scipy_6sparse_7csgraph_14_shortest_path__floyd_warshall(PyArrayObject *, PyArrayObject *, struct __pyx_opt_args_5scipy_6sparse_7csgraph_14_shortest_path__floyd_warshall *__pyx_optional_args); /*proto*/
static PyObject *__pyx_f_5scipy_6sparse_7csgraph_14_shortest_path__dijkstra_directed(PyArrayObject *, PyArrayObject *, PyArrayObject *, PyArrayObject *, PyArrayObject *, PyArrayObject *, __pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_DTYPE_t); /*proto*/
static PyObject *__pyx_f_5scipy_6sparse_7csgraph_14_shortest_path__dijkstra_undirected(PyArrayObject *, PyArrayObject *, PyArrayObject *, PyArrayObject *, PyArrayObject *, PyArrayObject *, PyArrayObject *, PyArrayObject *, PyArrayObject *, __pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_DTYPE_t); /*proto*/
static int __pyx_f_5scipy_6sparse_7csgraph_14_shortest_path__bellman_ford_directed(PyArrayObject *, PyArrayObject *, PyArrayObject *, PyArrayObject *, PyArrayObject *, PyArrayObject *); /*proto*/
static int __pyx_f_5scipy_6sparse_7csgraph_14_shortest_path__bellman_ford_undirected(PyArrayObject *, PyArrayObject *, PyArrayObject *, PyArrayObject *, PyArrayObject *, PyArrayObject *); /*proto*/
static void __pyx_f_5scipy_6sparse_7csgraph_14_shortest_path__johnson_add_weights(PyArrayObject *, PyArrayObject *, PyArrayObject *, PyArrayObject *); /*proto*/
static int __pyx_f_5scipy_6sparse_7csgraph_14_shortest_path__johnson_directed(PyArrayObject *, PyArrayObject *, PyArrayObject *, PyArrayObject *); /*proto*/
static int __pyx_f_5scipy_6sparse_7csgraph_14_shortest_path__johnson_undirected(PyArrayObject *, PyArrayObject *, PyArrayObject *, PyArrayObject *); /*proto*/
static void __pyx_f_5scipy_6sparse_7csgraph_14_shortest_path_initialize_node(struct __pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_FibonacciNode *, unsigned int, struct __pyx_opt_args_5scipy_6sparse_7csgraph_14_shortest_path_initialize_node *__pyx_optional_args); /*proto*/
static struct __pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_FibonacciNode *__pyx_f_5scipy_6sparse_7csgraph_14_shortest_path_rightmost_sibling(struct __pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_FibonacciNode *); /*proto*/
static struct __pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_FibonacciNode *__pyx_f_5scipy_6sparse_7csgraph_14_shortest_path_leftmost_sibling(struct __pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_FibonacciNode *); /*proto*/
static void __pyx_f_5scipy_6sparse_7csgraph_14_shortest_path_add_child(struct __pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_FibonacciNode *, struct __pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_FibonacciNode *); /*proto*/
static void __pyx_f_5scipy_6sparse_7csgraph_14_shortest_path_add_sibling(struct __pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_FibonacciNode *, struct __pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_FibonacciNode *); /*proto*/
static void __pyx_f_5scipy_6sparse_7csgraph_14_shortest_path_remove(struct __pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_FibonacciNode *); /*proto*/
static void __pyx_f_5scipy_6sparse_7csgraph_14_shortest_path_insert_node(struct __pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_FibonacciHeap *, struct __pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_FibonacciNode *); /*proto*/
static void __pyx_f_5scipy_6sparse_7csgraph_14_shortest_path_decrease_val(struct __pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_FibonacciHeap *, struct __pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_FibonacciNode *, __pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_DTYPE_t); /*proto*/
static void __pyx_f_5scipy_6sparse_7csgraph_14_shortest_path_link(struct __pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_FibonacciHeap *, struct __pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_FibonacciNode *); /*proto*/
static struct __pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_FibonacciNode *__pyx_f_5scipy_6sparse_7csgraph_14_shortest_path_remove_min(struct __pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_FibonacciHeap *); /*proto*/
static __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_DTYPE_t = { "DTYPE_t", NULL, sizeof(__pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_DTYPE_t), { 0 }, 0, 'R', 0, 0 };
static __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_ITYPE_t = { "ITYPE_t", NULL, sizeof(__pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_ITYPE_t), { 0 }, 0, IS_UNSIGNED(__pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_ITYPE_t) ? 'U' : 'I', IS_UNSIGNED(__pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_ITYPE_t), 0 };
#define __Pyx_MODULE_NAME "scipy.sparse.csgraph._shortest_path"
int __pyx_module_is_main_scipy__sparse__csgraph___shortest_path = 0;

/* Implementation of 'scipy.sparse.csgraph._shortest_path' */
static PyObject *__pyx_builtin_Exception;
static PyObject *__pyx_builtin_ValueError;
static PyObject *__pyx_builtin_TypeError;
static PyObject *__pyx_builtin_range;
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      /* "scipy/sparse/csgraph/_shortest_path.pyx":491
 * 
 *         for k from 0 <= k < N:
 *             initialize_node(&nodes[k], k)             # <<<<<<<<<<<<<<
 * 
 *         dist_matrix[i, j_source] = 0
 */
      __pyx_f_5scipy_6sparse_7csgraph_14_shortest_path_initialize_node((&(__pyx_v_nodes[__pyx_v_k])), __pyx_v_k, NULL);
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    /* "scipy/sparse/csgraph/_shortest_path.pyx":493
 *             initialize_node(&nodes[k], k)
 * 
 *         dist_matrix[i, j_source] = 0             # <<<<<<<<<<<<<<
 *         heap.min_node = NULL
 *         insert_node(&heap, &nodes[j_source])
 */
    __pyx_t_6 = __pyx_v_i;
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    __pyx_t_3 = -1;
    if (unlikely(__pyx_t_6 >= (size_t)__pyx_pybuffernd_dist_matrix.diminfo[0].shape)) __pyx_t_3 = 0;
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      __Pyx_RaiseBufferIndexError(__pyx_t_3);
      {__pyx_filename = __pyx_f[0]; __pyx_lineno = 493; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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    *__Pyx_BufPtrCContig2d(__pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_DTYPE_t *, __pyx_pybuffernd_dist_matrix.rcbuffer->pybuffer.buf, __pyx_t_6, __pyx_pybuffernd_dist_matrix.diminfo[0].strides, __pyx_t_7, __pyx_pybuffernd_dist_matrix.diminfo[1].strides) = 0.0;

    /* "scipy/sparse/csgraph/_shortest_path.pyx":494
 * 
 *         dist_matrix[i, j_source] = 0
 *         heap.min_node = NULL             # <<<<<<<<<<<<<<
 *         insert_node(&heap, &nodes[j_source])
 * 
 */
    __pyx_v_heap.min_node = NULL;

    /* "scipy/sparse/csgraph/_shortest_path.pyx":495
 *         dist_matrix[i, j_source] = 0
 *         heap.min_node = NULL
 *         insert_node(&heap, &nodes[j_source])             # <<<<<<<<<<<<<<
 * 
 *         while heap.min_node:
 */
    __pyx_f_5scipy_6sparse_7csgraph_14_shortest_path_insert_node((&__pyx_v_heap), (&(__pyx_v_nodes[__pyx_v_j_source])));

    /* "scipy/sparse/csgraph/_shortest_path.pyx":497
 *         insert_node(&heap, &nodes[j_source])
 * 
 *         while heap.min_node:             # <<<<<<<<<<<<<<
 *             v = remove_min(&heap)
 *             v.state = SCANNED
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      __pyx_t_8 = (__pyx_v_heap.min_node != 0);
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      /* "scipy/sparse/csgraph/_shortest_path.pyx":498
 * 
 *         while heap.min_node:
 *             v = remove_min(&heap)             # <<<<<<<<<<<<<<
 *             v.state = SCANNED
 * 
 */
      __pyx_v_v = __pyx_f_5scipy_6sparse_7csgraph_14_shortest_path_remove_min((&__pyx_v_heap));

      /* "scipy/sparse/csgraph/_shortest_path.pyx":499
 *         while heap.min_node:
 *             v = remove_min(&heap)
 *             v.state = SCANNED             # <<<<<<<<<<<<<<
 * 
 *             for j from csr_indptr[v.index] <= j < csr_indptr[v.index + 1]:
 */
      __pyx_v_v->state = __pyx_e_5scipy_6sparse_7csgraph_14_shortest_path_SCANNED;

      /* "scipy/sparse/csgraph/_shortest_path.pyx":501
 *             v.state = SCANNED
 * 
 *             for j from csr_indptr[v.index] <= j < csr_indptr[v.index + 1]:             # <<<<<<<<<<<<<<
 *                 j_current = csr_indices[j]
 *                 current_node = &nodes[j_current]
 */
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      __pyx_t_3 = -1;
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        __Pyx_RaiseBufferIndexError(__pyx_t_3);
        {__pyx_filename = __pyx_f[0]; __pyx_lineno = 501; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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      __pyx_t_10 = (__pyx_v_v->index + 1);
      __pyx_t_3 = -1;
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        __pyx_t_10 += __pyx_pybuffernd_csr_indptr.diminfo[0].shape;
        if (unlikely(__pyx_t_10 < 0)) __pyx_t_3 = 0;
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        __Pyx_RaiseBufferIndexError(__pyx_t_3);
        {__pyx_filename = __pyx_f[0]; __pyx_lineno = 501; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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      __pyx_t_11 = (*__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_ITYPE_t *, __pyx_pybuffernd_csr_indptr.rcbuffer->pybuffer.buf, __pyx_t_10, __pyx_pybuffernd_csr_indptr.diminfo[0].strides));
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        /* "scipy/sparse/csgraph/_shortest_path.pyx":502
 * 
 *             for j from csr_indptr[v.index] <= j < csr_indptr[v.index + 1]:
 *                 j_current = csr_indices[j]             # <<<<<<<<<<<<<<
 *                 current_node = &nodes[j_current]
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 */
        __pyx_t_12 = __pyx_v_j;
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          __pyx_t_12 += __pyx_pybuffernd_csr_indices.diminfo[0].shape;
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          __Pyx_RaiseBufferIndexError(__pyx_t_3);
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        /* "scipy/sparse/csgraph/_shortest_path.pyx":503
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 *                     next_val = v.val + csr_weights[j]
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          /* "scipy/sparse/csgraph/_shortest_path.pyx":505
 *                 current_node = &nodes[j_current]
 *                 if current_node.state != SCANNED:
 *                     next_val = v.val + csr_weights[j]             # <<<<<<<<<<<<<<
 *                     if next_val <= limit:
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          __pyx_t_13 = __pyx_v_j;
          __pyx_t_3 = -1;
          if (__pyx_t_13 < 0) {
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          if (unlikely(__pyx_t_3 != -1)) {
            __Pyx_RaiseBufferIndexError(__pyx_t_3);
            {__pyx_filename = __pyx_f[0]; __pyx_lineno = 505; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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          __pyx_v_next_val = (__pyx_v_v->val + (*__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_DTYPE_t *, __pyx_pybuffernd_csr_weights.rcbuffer->pybuffer.buf, __pyx_t_13, __pyx_pybuffernd_csr_weights.diminfo[0].strides)));

          /* "scipy/sparse/csgraph/_shortest_path.pyx":506
 *                 if current_node.state != SCANNED:
 *                     next_val = v.val + csr_weights[j]
 *                     if next_val <= limit:             # <<<<<<<<<<<<<<
 *                         if current_node.state == NOT_IN_HEAP:
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 */
          __pyx_t_8 = ((__pyx_v_next_val <= __pyx_v_limit) != 0);
          if (__pyx_t_8) {

            /* "scipy/sparse/csgraph/_shortest_path.pyx":507
 *                     next_val = v.val + csr_weights[j]
 *                     if next_val <= limit:
 *                         if current_node.state == NOT_IN_HEAP:             # <<<<<<<<<<<<<<
 *                             current_node.state = IN_HEAP
 *                             current_node.val = next_val
 */
            __pyx_t_8 = ((__pyx_v_current_node->state == __pyx_e_5scipy_6sparse_7csgraph_14_shortest_path_NOT_IN_HEAP) != 0);
            if (__pyx_t_8) {

              /* "scipy/sparse/csgraph/_shortest_path.pyx":508
 *                     if next_val <= limit:
 *                         if current_node.state == NOT_IN_HEAP:
 *                             current_node.state = IN_HEAP             # <<<<<<<<<<<<<<
 *                             current_node.val = next_val
 *                             insert_node(&heap, current_node)
 */
              __pyx_v_current_node->state = __pyx_e_5scipy_6sparse_7csgraph_14_shortest_path_IN_HEAP;

              /* "scipy/sparse/csgraph/_shortest_path.pyx":509
 *                         if current_node.state == NOT_IN_HEAP:
 *                             current_node.state = IN_HEAP
 *                             current_node.val = next_val             # <<<<<<<<<<<<<<
 *                             insert_node(&heap, current_node)
 *                             if return_pred:
 */
              __pyx_v_current_node->val = __pyx_v_next_val;

              /* "scipy/sparse/csgraph/_shortest_path.pyx":510
 *                             current_node.state = IN_HEAP
 *                             current_node.val = next_val
 *                             insert_node(&heap, current_node)             # <<<<<<<<<<<<<<
 *                             if return_pred:
 *                                 pred[i, j_current] = v.index
 */
              __pyx_f_5scipy_6sparse_7csgraph_14_shortest_path_insert_node((&__pyx_v_heap), __pyx_v_current_node);

              /* "scipy/sparse/csgraph/_shortest_path.pyx":511
 *                             current_node.val = next_val
 *                             insert_node(&heap, current_node)
 *                             if return_pred:             # <<<<<<<<<<<<<<
 *                                 pred[i, j_current] = v.index
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 */
              __pyx_t_8 = (__pyx_v_return_pred != 0);
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                /* "scipy/sparse/csgraph/_shortest_path.pyx":512
 *                             insert_node(&heap, current_node)
 *                             if return_pred:
 *                                 pred[i, j_current] = v.index             # <<<<<<<<<<<<<<
 *                         elif current_node.val > next_val:
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                if (unlikely(__pyx_t_16 >= (size_t)__pyx_pybuffernd_pred.diminfo[1].shape)) __pyx_t_3 = 1;
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                  __Pyx_RaiseBufferIndexError(__pyx_t_3);
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                *__Pyx_BufPtrCContig2d(__pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_ITYPE_t *, __pyx_pybuffernd_pred.rcbuffer->pybuffer.buf, __pyx_t_15, __pyx_pybuffernd_pred.diminfo[0].strides, __pyx_t_16, __pyx_pybuffernd_pred.diminfo[1].strides) = __pyx_t_14;
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            /* "scipy/sparse/csgraph/_shortest_path.pyx":513
 *                             if return_pred:
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            __pyx_t_8 = ((__pyx_v_current_node->val > __pyx_v_next_val) != 0);
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              /* "scipy/sparse/csgraph/_shortest_path.pyx":514
 *                                 pred[i, j_current] = v.index
 *                         elif current_node.val > next_val:
 *                             decrease_val(&heap, current_node,             # <<<<<<<<<<<<<<
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 */
              __pyx_f_5scipy_6sparse_7csgraph_14_shortest_path_decrease_val((&__pyx_v_heap), __pyx_v_current_node, __pyx_v_next_val);

              /* "scipy/sparse/csgraph/_shortest_path.pyx":516
 *                             decrease_val(&heap, current_node,
 *                                          next_val)
 *                             if return_pred:             # <<<<<<<<<<<<<<
 *                                 pred[i, j_current] = v.index
 * 
 */
              __pyx_t_8 = (__pyx_v_return_pred != 0);
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                /* "scipy/sparse/csgraph/_shortest_path.pyx":517
 *                                          next_val)
 *                             if return_pred:
 *                                 pred[i, j_current] = v.index             # <<<<<<<<<<<<<<
 * 
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                __pyx_t_3 = -1;
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                if (unlikely(__pyx_t_18 >= (size_t)__pyx_pybuffernd_pred.diminfo[1].shape)) __pyx_t_3 = 1;
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                  __Pyx_RaiseBufferIndexError(__pyx_t_3);
                  {__pyx_filename = __pyx_f[0]; __pyx_lineno = 517; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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                *__Pyx_BufPtrCContig2d(__pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_ITYPE_t *, __pyx_pybuffernd_pred.rcbuffer->pybuffer.buf, __pyx_t_17, __pyx_pybuffernd_pred.diminfo[0].strides, __pyx_t_18, __pyx_pybuffernd_pred.diminfo[1].strides) = __pyx_t_14;
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      *__Pyx_BufPtrCContig2d(__pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_DTYPE_t *, __pyx_pybuffernd_dist_matrix.rcbuffer->pybuffer.buf, __pyx_t_14, __pyx_pybuffernd_dist_matrix.diminfo[0].strides, __pyx_t_20, __pyx_pybuffernd_dist_matrix.diminfo[1].strides) = __pyx_t_19;
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  /* "scipy/sparse/csgraph/_shortest_path.pyx":522
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 */
  free(__pyx_v_nodes);

  /* "scipy/sparse/csgraph/_shortest_path.pyx":464
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 * 
 * cdef _dijkstra_directed(             # <<<<<<<<<<<<<<
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  /* function exit code */
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/* "scipy/sparse/csgraph/_shortest_path.pyx":525
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static PyObject *__pyx_f_5scipy_6sparse_7csgraph_14_shortest_path__dijkstra_undirected(PyArrayObject *__pyx_v_source_indices, PyArrayObject *__pyx_v_csr_weights, PyArrayObject *__pyx_v_csr_indices, PyArrayObject *__pyx_v_csr_indptr, PyArrayObject *__pyx_v_csrT_weights, PyArrayObject *__pyx_v_csrT_indices, PyArrayObject *__pyx_v_csrT_indptr, PyArrayObject *__pyx_v_dist_matrix, PyArrayObject *__pyx_v_pred, __pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_DTYPE_t __pyx_v_limit) {
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      for (__pyx_v_j = (*__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_ITYPE_t *, __pyx_pybuffernd_csr_indptr.rcbuffer->pybuffer.buf, __pyx_t_9, __pyx_pybuffernd_csr_indptr.diminfo[0].strides)); __pyx_v_j < __pyx_t_11; __pyx_v_j++) {

        /* "scipy/sparse/csgraph/_shortest_path.pyx":566
 * 
 *             for j from csr_indptr[v.index] <= j < csr_indptr[v.index + 1]:
 *                 j_current = csr_indices[j]             # <<<<<<<<<<<<<<
 *                 current_node = &nodes[j_current]
 *                 if current_node.state != SCANNED:
 */
        __pyx_t_12 = __pyx_v_j;
        __pyx_t_3 = -1;
        if (__pyx_t_12 < 0) {
          __pyx_t_12 += __pyx_pybuffernd_csr_indices.diminfo[0].shape;
          if (unlikely(__pyx_t_12 < 0)) __pyx_t_3 = 0;
        } else if (unlikely(__pyx_t_12 >= __pyx_pybuffernd_csr_indices.diminfo[0].shape)) __pyx_t_3 = 0;
        if (unlikely(__pyx_t_3 != -1)) {
          __Pyx_RaiseBufferIndexError(__pyx_t_3);
          {__pyx_filename = __pyx_f[0]; __pyx_lineno = 566; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
        }
        __pyx_v_j_current = (*__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_ITYPE_t *, __pyx_pybuffernd_csr_indices.rcbuffer->pybuffer.buf, __pyx_t_12, __pyx_pybuffernd_csr_indices.diminfo[0].strides));

        /* "scipy/sparse/csgraph/_shortest_path.pyx":567
 *             for j from csr_indptr[v.index] <= j < csr_indptr[v.index + 1]:
 *                 j_current = csr_indices[j]
 *                 current_node = &nodes[j_current]             # <<<<<<<<<<<<<<
 *                 if current_node.state != SCANNED:
 *                     next_val = v.val + csr_weights[j]
 */
        __pyx_v_current_node = (&(__pyx_v_nodes[__pyx_v_j_current]));

        /* "scipy/sparse/csgraph/_shortest_path.pyx":568
 *                 j_current = csr_indices[j]
 *                 current_node = &nodes[j_current]
 *                 if current_node.state != SCANNED:             # <<<<<<<<<<<<<<
 *                     next_val = v.val + csr_weights[j]
 *                     if next_val <= limit:
 */
        __pyx_t_8 = ((__pyx_v_current_node->state != __pyx_e_5scipy_6sparse_7csgraph_14_shortest_path_SCANNED) != 0);
        if (__pyx_t_8) {

          /* "scipy/sparse/csgraph/_shortest_path.pyx":569
 *                 current_node = &nodes[j_current]
 *                 if current_node.state != SCANNED:
 *                     next_val = v.val + csr_weights[j]             # <<<<<<<<<<<<<<
 *                     if next_val <= limit:
 *                         if current_node.state == NOT_IN_HEAP:
 */
          __pyx_t_13 = __pyx_v_j;
          __pyx_t_3 = -1;
          if (__pyx_t_13 < 0) {
            __pyx_t_13 += __pyx_pybuffernd_csr_weights.diminfo[0].shape;
            if (unlikely(__pyx_t_13 < 0)) __pyx_t_3 = 0;
          } else if (unlikely(__pyx_t_13 >= __pyx_pybuffernd_csr_weights.diminfo[0].shape)) __pyx_t_3 = 0;
          if (unlikely(__pyx_t_3 != -1)) {
            __Pyx_RaiseBufferIndexError(__pyx_t_3);
            {__pyx_filename = __pyx_f[0]; __pyx_lineno = 569; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
          }
          __pyx_v_next_val = (__pyx_v_v->val + (*__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_DTYPE_t *, __pyx_pybuffernd_csr_weights.rcbuffer->pybuffer.buf, __pyx_t_13, __pyx_pybuffernd_csr_weights.diminfo[0].strides)));

          /* "scipy/sparse/csgraph/_shortest_path.pyx":570
 *                 if current_node.state != SCANNED:
 *                     next_val = v.val + csr_weights[j]
 *                     if next_val <= limit:             # <<<<<<<<<<<<<<
 *                         if current_node.state == NOT_IN_HEAP:
 *                             current_node.state = IN_HEAP
 */
          __pyx_t_8 = ((__pyx_v_next_val <= __pyx_v_limit) != 0);
          if (__pyx_t_8) {

            /* "scipy/sparse/csgraph/_shortest_path.pyx":571
 *                     next_val = v.val + csr_weights[j]
 *                     if next_val <= limit:
 *                         if current_node.state == NOT_IN_HEAP:             # <<<<<<<<<<<<<<
 *                             current_node.state = IN_HEAP
 *                             current_node.val = next_val
 */
            __pyx_t_8 = ((__pyx_v_current_node->state == __pyx_e_5scipy_6sparse_7csgraph_14_shortest_path_NOT_IN_HEAP) != 0);
            if (__pyx_t_8) {

              /* "scipy/sparse/csgraph/_shortest_path.pyx":572
 *                     if next_val <= limit:
 *                         if current_node.state == NOT_IN_HEAP:
 *                             current_node.state = IN_HEAP             # <<<<<<<<<<<<<<
 *                             current_node.val = next_val
 *                             insert_node(&heap, current_node)
 */
              __pyx_v_current_node->state = __pyx_e_5scipy_6sparse_7csgraph_14_shortest_path_IN_HEAP;

              /* "scipy/sparse/csgraph/_shortest_path.pyx":573
 *                         if current_node.state == NOT_IN_HEAP:
 *                             current_node.state = IN_HEAP
 *                             current_node.val = next_val             # <<<<<<<<<<<<<<
 *                             insert_node(&heap, current_node)
 *                             if return_pred:
 */
              __pyx_v_current_node->val = __pyx_v_next_val;

              /* "scipy/sparse/csgraph/_shortest_path.pyx":574
 *                             current_node.state = IN_HEAP
 *                             current_node.val = next_val
 *                             insert_node(&heap, current_node)             # <<<<<<<<<<<<<<
 *                             if return_pred:
 *                                 pred[i, j_current] = v.index
 */
              __pyx_f_5scipy_6sparse_7csgraph_14_shortest_path_insert_node((&__pyx_v_heap), __pyx_v_current_node);

              /* "scipy/sparse/csgraph/_shortest_path.pyx":575
 *                             current_node.val = next_val
 *                             insert_node(&heap, current_node)
 *                             if return_pred:             # <<<<<<<<<<<<<<
 *                                 pred[i, j_current] = v.index
 *                         elif current_node.val > next_val:
 */
              __pyx_t_8 = (__pyx_v_return_pred != 0);
              if (__pyx_t_8) {

                /* "scipy/sparse/csgraph/_shortest_path.pyx":576
 *                             insert_node(&heap, current_node)
 *                             if return_pred:
 *                                 pred[i, j_current] = v.index             # <<<<<<<<<<<<<<
 *                         elif current_node.val > next_val:
 *                             decrease_val(&heap, current_node,
 */
                __pyx_t_14 = __pyx_v_v->index;
                __pyx_t_15 = __pyx_v_i;
                __pyx_t_16 = __pyx_v_j_current;
                __pyx_t_3 = -1;
                if (unlikely(__pyx_t_15 >= (size_t)__pyx_pybuffernd_pred.diminfo[0].shape)) __pyx_t_3 = 0;
                if (unlikely(__pyx_t_16 >= (size_t)__pyx_pybuffernd_pred.diminfo[1].shape)) __pyx_t_3 = 1;
                if (unlikely(__pyx_t_3 != -1)) {
                  __Pyx_RaiseBufferIndexError(__pyx_t_3);
                  {__pyx_filename = __pyx_f[0]; __pyx_lineno = 576; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
                }
                *__Pyx_BufPtrCContig2d(__pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_ITYPE_t *, __pyx_pybuffernd_pred.rcbuffer->pybuffer.buf, __pyx_t_15, __pyx_pybuffernd_pred.diminfo[0].strides, __pyx_t_16, __pyx_pybuffernd_pred.diminfo[1].strides) = __pyx_t_14;
                goto __pyx_L14;
              }
              __pyx_L14:;
              goto __pyx_L13;
            }

            /* "scipy/sparse/csgraph/_shortest_path.pyx":577
 *                             if return_pred:
 *                                 pred[i, j_current] = v.index
 *                         elif current_node.val > next_val:             # <<<<<<<<<<<<<<
 *                             decrease_val(&heap, current_node,
 *                                          next_val)
 */
            __pyx_t_8 = ((__pyx_v_current_node->val > __pyx_v_next_val) != 0);
            if (__pyx_t_8) {

              /* "scipy/sparse/csgraph/_shortest_path.pyx":578
 *                                 pred[i, j_current] = v.index
 *                         elif current_node.val > next_val:
 *                             decrease_val(&heap, current_node,             # <<<<<<<<<<<<<<
 *                                          next_val)
 *                             if return_pred:
 */
              __pyx_f_5scipy_6sparse_7csgraph_14_shortest_path_decrease_val((&__pyx_v_heap), __pyx_v_current_node, __pyx_v_next_val);

              /* "scipy/sparse/csgraph/_shortest_path.pyx":580
 *                             decrease_val(&heap, current_node,
 *                                          next_val)
 *                             if return_pred:             # <<<<<<<<<<<<<<
 *                                 pred[i, j_current] = v.index
 * 
 */
              __pyx_t_8 = (__pyx_v_return_pred != 0);
              if (__pyx_t_8) {

                /* "scipy/sparse/csgraph/_shortest_path.pyx":581
 *                                          next_val)
 *                             if return_pred:
 *                                 pred[i, j_current] = v.index             # <<<<<<<<<<<<<<
 * 
 *             for j from csrT_indptr[v.index] <= j < csrT_indptr[v.index + 1]:
 */
                __pyx_t_14 = __pyx_v_v->index;
                __pyx_t_17 = __pyx_v_i;
                __pyx_t_18 = __pyx_v_j_current;
                __pyx_t_3 = -1;
                if (unlikely(__pyx_t_17 >= (size_t)__pyx_pybuffernd_pred.diminfo[0].shape)) __pyx_t_3 = 0;
                if (unlikely(__pyx_t_18 >= (size_t)__pyx_pybuffernd_pred.diminfo[1].shape)) __pyx_t_3 = 1;
                if (unlikely(__pyx_t_3 != -1)) {
                  __Pyx_RaiseBufferIndexError(__pyx_t_3);
                  {__pyx_filename = __pyx_f[0]; __pyx_lineno = 581; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
                }
                *__Pyx_BufPtrCContig2d(__pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_ITYPE_t *, __pyx_pybuffernd_pred.rcbuffer->pybuffer.buf, __pyx_t_17, __pyx_pybuffernd_pred.diminfo[0].strides, __pyx_t_18, __pyx_pybuffernd_pred.diminfo[1].strides) = __pyx_t_14;
                goto __pyx_L15;
              }
              __pyx_L15:;
              goto __pyx_L13;
            }
            __pyx_L13:;
            goto __pyx_L12;
          }
          __pyx_L12:;
          goto __pyx_L11;
        }
        __pyx_L11:;
      }

      /* "scipy/sparse/csgraph/_shortest_path.pyx":583
 *                                 pred[i, j_current] = v.index
 * 
 *             for j from csrT_indptr[v.index] <= j < csrT_indptr[v.index + 1]:             # <<<<<<<<<<<<<<
 *                 j_current = csrT_indices[j]
 *                 current_node = &nodes[j_current]
 */
      __pyx_t_14 = __pyx_v_v->index;
      __pyx_t_3 = -1;
      if (unlikely(__pyx_t_14 >= (size_t)__pyx_pybuffernd_csrT_indptr.diminfo[0].shape)) __pyx_t_3 = 0;
      if (unlikely(__pyx_t_3 != -1)) {
        __Pyx_RaiseBufferIndexError(__pyx_t_3);
        {__pyx_filename = __pyx_f[0]; __pyx_lineno = 583; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      }
      __pyx_t_19 = (__pyx_v_v->index + 1);
      __pyx_t_3 = -1;
      if (__pyx_t_19 < 0) {
        __pyx_t_19 += __pyx_pybuffernd_csrT_indptr.diminfo[0].shape;
        if (unlikely(__pyx_t_19 < 0)) __pyx_t_3 = 0;
      } else if (unlikely(__pyx_t_19 >= __pyx_pybuffernd_csrT_indptr.diminfo[0].shape)) __pyx_t_3 = 0;
      if (unlikely(__pyx_t_3 != -1)) {
        __Pyx_RaiseBufferIndexError(__pyx_t_3);
        {__pyx_filename = __pyx_f[0]; __pyx_lineno = 583; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      }
      __pyx_t_11 = (*__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_ITYPE_t *, __pyx_pybuffernd_csrT_indptr.rcbuffer->pybuffer.buf, __pyx_t_19, __pyx_pybuffernd_csrT_indptr.diminfo[0].strides));
      for (__pyx_v_j = (*__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_ITYPE_t *, __pyx_pybuffernd_csrT_indptr.rcbuffer->pybuffer.buf, __pyx_t_14, __pyx_pybuffernd_csrT_indptr.diminfo[0].strides)); __pyx_v_j < __pyx_t_11; __pyx_v_j++) {

        /* "scipy/sparse/csgraph/_shortest_path.pyx":584
 * 
 *             for j from csrT_indptr[v.index] <= j < csrT_indptr[v.index + 1]:
 *                 j_current = csrT_indices[j]             # <<<<<<<<<<<<<<
 *                 current_node = &nodes[j_current]
 *                 if current_node.state != SCANNED:
 */
        __pyx_t_20 = __pyx_v_j;
        __pyx_t_3 = -1;
        if (__pyx_t_20 < 0) {
          __pyx_t_20 += __pyx_pybuffernd_csrT_indices.diminfo[0].shape;
          if (unlikely(__pyx_t_20 < 0)) __pyx_t_3 = 0;
        } else if (unlikely(__pyx_t_20 >= __pyx_pybuffernd_csrT_indices.diminfo[0].shape)) __pyx_t_3 = 0;
        if (unlikely(__pyx_t_3 != -1)) {
          __Pyx_RaiseBufferIndexError(__pyx_t_3);
          {__pyx_filename = __pyx_f[0]; __pyx_lineno = 584; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
        }
        __pyx_v_j_current = (*__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_ITYPE_t *, __pyx_pybuffernd_csrT_indices.rcbuffer->pybuffer.buf, __pyx_t_20, __pyx_pybuffernd_csrT_indices.diminfo[0].strides));

        /* "scipy/sparse/csgraph/_shortest_path.pyx":585
 *             for j from csrT_indptr[v.index] <= j < csrT_indptr[v.index + 1]:
 *                 j_current = csrT_indices[j]
 *                 current_node = &nodes[j_current]             # <<<<<<<<<<<<<<
 *                 if current_node.state != SCANNED:
 *                     next_val = v.val + csrT_weights[j]
 */
        __pyx_v_current_node = (&(__pyx_v_nodes[__pyx_v_j_current]));

        /* "scipy/sparse/csgraph/_shortest_path.pyx":586
 *                 j_current = csrT_indices[j]
 *                 current_node = &nodes[j_current]
 *                 if current_node.state != SCANNED:             # <<<<<<<<<<<<<<
 *                     next_val = v.val + csrT_weights[j]
 *                     if next_val <= limit:
 */
        __pyx_t_8 = ((__pyx_v_current_node->state != __pyx_e_5scipy_6sparse_7csgraph_14_shortest_path_SCANNED) != 0);
        if (__pyx_t_8) {

          /* "scipy/sparse/csgraph/_shortest_path.pyx":587
 *                 current_node = &nodes[j_current]
 *                 if current_node.state != SCANNED:
 *                     next_val = v.val + csrT_weights[j]             # <<<<<<<<<<<<<<
 *                     if next_val <= limit:
 *                         if current_node.state == NOT_IN_HEAP:
 */
          __pyx_t_21 = __pyx_v_j;
          __pyx_t_3 = -1;
          if (__pyx_t_21 < 0) {
            __pyx_t_21 += __pyx_pybuffernd_csrT_weights.diminfo[0].shape;
            if (unlikely(__pyx_t_21 < 0)) __pyx_t_3 = 0;
          } else if (unlikely(__pyx_t_21 >= __pyx_pybuffernd_csrT_weights.diminfo[0].shape)) __pyx_t_3 = 0;
          if (unlikely(__pyx_t_3 != -1)) {
            __Pyx_RaiseBufferIndexError(__pyx_t_3);
            {__pyx_filename = __pyx_f[0]; __pyx_lineno = 587; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
          }
          __pyx_v_next_val = (__pyx_v_v->val + (*__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_DTYPE_t *, __pyx_pybuffernd_csrT_weights.rcbuffer->pybuffer.buf, __pyx_t_21, __pyx_pybuffernd_csrT_weights.diminfo[0].strides)));

          /* "scipy/sparse/csgraph/_shortest_path.pyx":588
 *                 if current_node.state != SCANNED:
 *                     next_val = v.val + csrT_weights[j]
 *                     if next_val <= limit:             # <<<<<<<<<<<<<<
 *                         if current_node.state == NOT_IN_HEAP:
 *                             current_node.state = IN_HEAP
 */
          __pyx_t_8 = ((__pyx_v_next_val <= __pyx_v_limit) != 0);
          if (__pyx_t_8) {

            /* "scipy/sparse/csgraph/_shortest_path.pyx":589
 *                     next_val = v.val + csrT_weights[j]
 *                     if next_val <= limit:
 *                         if current_node.state == NOT_IN_HEAP:             # <<<<<<<<<<<<<<
 *                             current_node.state = IN_HEAP
 *                             current_node.val = next_val
 */
            __pyx_t_8 = ((__pyx_v_current_node->state == __pyx_e_5scipy_6sparse_7csgraph_14_shortest_path_NOT_IN_HEAP) != 0);
            if (__pyx_t_8) {

              /* "scipy/sparse/csgraph/_shortest_path.pyx":590
 *                     if next_val <= limit:
 *                         if current_node.state == NOT_IN_HEAP:
 *                             current_node.state = IN_HEAP             # <<<<<<<<<<<<<<
 *                             current_node.val = next_val
 *                             insert_node(&heap, current_node)
 */
              __pyx_v_current_node->state = __pyx_e_5scipy_6sparse_7csgraph_14_shortest_path_IN_HEAP;

              /* "scipy/sparse/csgraph/_shortest_path.pyx":591
 *                         if current_node.state == NOT_IN_HEAP:
 *                             current_node.state = IN_HEAP
 *                             current_node.val = next_val             # <<<<<<<<<<<<<<
 *                             insert_node(&heap, current_node)
 *                             if return_pred:
 */
              __pyx_v_current_node->val = __pyx_v_next_val;

              /* "scipy/sparse/csgraph/_shortest_path.pyx":592
 *                             current_node.state = IN_HEAP
 *                             current_node.val = next_val
 *                             insert_node(&heap, current_node)             # <<<<<<<<<<<<<<
 *                             if return_pred:
 *                                 pred[i, j_current] = v.index
 */
              __pyx_f_5scipy_6sparse_7csgraph_14_shortest_path_insert_node((&__pyx_v_heap), __pyx_v_current_node);

              /* "scipy/sparse/csgraph/_shortest_path.pyx":593
 *                             current_node.val = next_val
 *                             insert_node(&heap, current_node)
 *                             if return_pred:             # <<<<<<<<<<<<<<
 *                                 pred[i, j_current] = v.index
 *                         elif current_node.val > next_val:
 */
              __pyx_t_8 = (__pyx_v_return_pred != 0);
              if (__pyx_t_8) {

                /* "scipy/sparse/csgraph/_shortest_path.pyx":594
 *                             insert_node(&heap, current_node)
 *                             if return_pred:
 *                                 pred[i, j_current] = v.index             # <<<<<<<<<<<<<<
 *                         elif current_node.val > next_val:
 *                             decrease_val(&heap, current_node, next_val)
 */
                __pyx_t_22 = __pyx_v_v->index;
                __pyx_t_23 = __pyx_v_i;
                __pyx_t_24 = __pyx_v_j_current;
                __pyx_t_3 = -1;
                if (unlikely(__pyx_t_23 >= (size_t)__pyx_pybuffernd_pred.diminfo[0].shape)) __pyx_t_3 = 0;
                if (unlikely(__pyx_t_24 >= (size_t)__pyx_pybuffernd_pred.diminfo[1].shape)) __pyx_t_3 = 1;
                if (unlikely(__pyx_t_3 != -1)) {
                  __Pyx_RaiseBufferIndexError(__pyx_t_3);
                  {__pyx_filename = __pyx_f[0]; __pyx_lineno = 594; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
                }
                *__Pyx_BufPtrCContig2d(__pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_ITYPE_t *, __pyx_pybuffernd_pred.rcbuffer->pybuffer.buf, __pyx_t_23, __pyx_pybuffernd_pred.diminfo[0].strides, __pyx_t_24, __pyx_pybuffernd_pred.diminfo[1].strides) = __pyx_t_22;
                goto __pyx_L21;
              }
              __pyx_L21:;
              goto __pyx_L20;
            }

            /* "scipy/sparse/csgraph/_shortest_path.pyx":595
 *                             if return_pred:
 *                                 pred[i, j_current] = v.index
 *                         elif current_node.val > next_val:             # <<<<<<<<<<<<<<
 *                             decrease_val(&heap, current_node, next_val)
 *                             if return_pred:
 */
            __pyx_t_8 = ((__pyx_v_current_node->val > __pyx_v_next_val) != 0);
            if (__pyx_t_8) {

              /* "scipy/sparse/csgraph/_shortest_path.pyx":596
 *                                 pred[i, j_current] = v.index
 *                         elif current_node.val > next_val:
 *                             decrease_val(&heap, current_node, next_val)             # <<<<<<<<<<<<<<
 *                             if return_pred:
 *                                 pred[i, j_current] = v.index
 */
              __pyx_f_5scipy_6sparse_7csgraph_14_shortest_path_decrease_val((&__pyx_v_heap), __pyx_v_current_node, __pyx_v_next_val);

              /* "scipy/sparse/csgraph/_shortest_path.pyx":597
 *                         elif current_node.val > next_val:
 *                             decrease_val(&heap, current_node, next_val)
 *                             if return_pred:             # <<<<<<<<<<<<<<
 *                                 pred[i, j_current] = v.index
 * 
 */
              __pyx_t_8 = (__pyx_v_return_pred != 0);
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            /* "scipy/sparse/csgraph/_shortest_path.pyx":754
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              /* "scipy/sparse/csgraph/_shortest_path.pyx":756
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        __pyx_t_11 = (__pyx_v_j + 1);
        __pyx_t_3 = -1;
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          if (unlikely(__pyx_t_11 < 0)) __pyx_t_3 = 0;
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          __Pyx_RaiseBufferIndexError(__pyx_t_3);
          {__pyx_filename = __pyx_f[0]; __pyx_lineno = 793; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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        __pyx_t_12 = (*__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_ITYPE_t *, __pyx_pybuffernd_csr_indptr.rcbuffer->pybuffer.buf, __pyx_t_11, __pyx_pybuffernd_csr_indptr.diminfo[0].strides));
        for (__pyx_v_k = (*__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_ITYPE_t *, __pyx_pybuffernd_csr_indptr.rcbuffer->pybuffer.buf, __pyx_t_10, __pyx_pybuffernd_csr_indptr.diminfo[0].strides)); __pyx_v_k < __pyx_t_12; __pyx_v_k++) {

          /* "scipy/sparse/csgraph/_shortest_path.pyx":794
 *                 d1 = dist_matrix[i, j]
 *                 for k from csr_indptr[j] <= k < csr_indptr[j + 1]:
 *                     w12 = csr_weights[k]             # <<<<<<<<<<<<<<
 *                     ind_k = csr_indices[k]
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          __pyx_t_13 = __pyx_v_k;
          __pyx_t_3 = -1;
          if (unlikely(__pyx_t_13 >= (size_t)__pyx_pybuffernd_csr_weights.diminfo[0].shape)) __pyx_t_3 = 0;
          if (unlikely(__pyx_t_3 != -1)) {
            __Pyx_RaiseBufferIndexError(__pyx_t_3);
            {__pyx_filename = __pyx_f[0]; __pyx_lineno = 794; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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          __pyx_v_w12 = (*__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_DTYPE_t *, __pyx_pybuffernd_csr_weights.rcbuffer->pybuffer.buf, __pyx_t_13, __pyx_pybuffernd_csr_weights.diminfo[0].strides));

          /* "scipy/sparse/csgraph/_shortest_path.pyx":795
 *                 for k from csr_indptr[j] <= k < csr_indptr[j + 1]:
 *                     w12 = csr_weights[k]
 *                     ind_k = csr_indices[k]             # <<<<<<<<<<<<<<
 *                     d2 = dist_matrix[i, ind_k]
 *                     if d1 + w12 < d2:
 */
          __pyx_t_14 = __pyx_v_k;
          __pyx_t_3 = -1;
          if (unlikely(__pyx_t_14 >= (size_t)__pyx_pybuffernd_csr_indices.diminfo[0].shape)) __pyx_t_3 = 0;
          if (unlikely(__pyx_t_3 != -1)) {
            __Pyx_RaiseBufferIndexError(__pyx_t_3);
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          __pyx_v_ind_k = (*__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_ITYPE_t *, __pyx_pybuffernd_csr_indices.rcbuffer->pybuffer.buf, __pyx_t_14, __pyx_pybuffernd_csr_indices.diminfo[0].strides));

          /* "scipy/sparse/csgraph/_shortest_path.pyx":796
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 *                     ind_k = csr_indices[k]
 *                     d2 = dist_matrix[i, ind_k]             # <<<<<<<<<<<<<<
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          __pyx_t_15 = __pyx_v_i;
          __pyx_t_16 = __pyx_v_ind_k;
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          if (unlikely(__pyx_t_16 >= (size_t)__pyx_pybuffernd_dist_matrix.diminfo[1].shape)) __pyx_t_3 = 1;
          if (unlikely(__pyx_t_3 != -1)) {
            __Pyx_RaiseBufferIndexError(__pyx_t_3);
            {__pyx_filename = __pyx_f[0]; __pyx_lineno = 796; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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          __pyx_v_d2 = (*__Pyx_BufPtrCContig2d(__pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_DTYPE_t *, __pyx_pybuffernd_dist_matrix.rcbuffer->pybuffer.buf, __pyx_t_15, __pyx_pybuffernd_dist_matrix.diminfo[0].strides, __pyx_t_16, __pyx_pybuffernd_dist_matrix.diminfo[1].strides));

          /* "scipy/sparse/csgraph/_shortest_path.pyx":797
 *                     ind_k = csr_indices[k]
 *                     d2 = dist_matrix[i, ind_k]
 *                     if d1 + w12 < d2:             # <<<<<<<<<<<<<<
 *                         dist_matrix[i, ind_k] = d2 = d1 + w12
 *                         if return_pred:
 */
          __pyx_t_17 = (((__pyx_v_d1 + __pyx_v_w12) < __pyx_v_d2) != 0);
          if (__pyx_t_17) {

            /* "scipy/sparse/csgraph/_shortest_path.pyx":798
 *                     d2 = dist_matrix[i, ind_k]
 *                     if d1 + w12 < d2:
 *                         dist_matrix[i, ind_k] = d2 = d1 + w12             # <<<<<<<<<<<<<<
 *                         if return_pred:
 *                             pred[i, ind_k] = j
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            __pyx_t_18 = (__pyx_v_d1 + __pyx_v_w12);
            __pyx_t_19 = __pyx_v_i;
            __pyx_t_20 = __pyx_v_ind_k;
            __pyx_t_3 = -1;
            if (unlikely(__pyx_t_19 >= (size_t)__pyx_pybuffernd_dist_matrix.diminfo[0].shape)) __pyx_t_3 = 0;
            if (unlikely(__pyx_t_20 >= (size_t)__pyx_pybuffernd_dist_matrix.diminfo[1].shape)) __pyx_t_3 = 1;
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              __Pyx_RaiseBufferIndexError(__pyx_t_3);
              {__pyx_filename = __pyx_f[0]; __pyx_lineno = 798; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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            *__Pyx_BufPtrCContig2d(__pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_DTYPE_t *, __pyx_pybuffernd_dist_matrix.rcbuffer->pybuffer.buf, __pyx_t_19, __pyx_pybuffernd_dist_matrix.diminfo[0].strides, __pyx_t_20, __pyx_pybuffernd_dist_matrix.diminfo[1].strides) = __pyx_t_18;
            __pyx_v_d2 = __pyx_t_18;

            /* "scipy/sparse/csgraph/_shortest_path.pyx":799
 *                     if d1 + w12 < d2:
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 *                             pred[i, ind_k] = j
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            __pyx_t_17 = (__pyx_v_return_pred != 0);
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              /* "scipy/sparse/csgraph/_shortest_path.pyx":800
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 *                         if return_pred:
 *                             pred[i, ind_k] = j             # <<<<<<<<<<<<<<
 *                     if d2 + w12 < d1:
 *                         dist_matrix[i, j] = d1 = d2 + w12
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              __pyx_t_21 = __pyx_v_i;
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              __pyx_t_3 = -1;
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              if (unlikely(__pyx_t_22 >= (size_t)__pyx_pybuffernd_pred.diminfo[1].shape)) __pyx_t_3 = 1;
              if (unlikely(__pyx_t_3 != -1)) {
                __Pyx_RaiseBufferIndexError(__pyx_t_3);
                {__pyx_filename = __pyx_f[0]; __pyx_lineno = 800; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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              *__Pyx_BufPtrCContig2d(__pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_ITYPE_t *, __pyx_pybuffernd_pred.rcbuffer->pybuffer.buf, __pyx_t_21, __pyx_pybuffernd_pred.diminfo[0].strides, __pyx_t_22, __pyx_pybuffernd_pred.diminfo[1].strides) = __pyx_v_j;
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          /* "scipy/sparse/csgraph/_shortest_path.pyx":801
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 *                             pred[i, ind_k] = j
 *                     if d2 + w12 < d1:             # <<<<<<<<<<<<<<
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 *                         if return_pred:
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            /* "scipy/sparse/csgraph/_shortest_path.pyx":802
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 *                         if return_pred:
 *                             pred[i, j] = ind_k
 */
            __pyx_t_18 = (__pyx_v_d2 + __pyx_v_w12);
            __pyx_t_23 = __pyx_v_i;
            __pyx_t_24 = __pyx_v_j;
            __pyx_t_3 = -1;
            if (unlikely(__pyx_t_23 >= (size_t)__pyx_pybuffernd_dist_matrix.diminfo[0].shape)) __pyx_t_3 = 0;
            if (unlikely(__pyx_t_24 >= (size_t)__pyx_pybuffernd_dist_matrix.diminfo[1].shape)) __pyx_t_3 = 1;
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              __Pyx_RaiseBufferIndexError(__pyx_t_3);
              {__pyx_filename = __pyx_f[0]; __pyx_lineno = 802; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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            *__Pyx_BufPtrCContig2d(__pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_DTYPE_t *, __pyx_pybuffernd_dist_matrix.rcbuffer->pybuffer.buf, __pyx_t_23, __pyx_pybuffernd_dist_matrix.diminfo[0].strides, __pyx_t_24, __pyx_pybuffernd_dist_matrix.diminfo[1].strides) = __pyx_t_18;
            __pyx_v_d1 = __pyx_t_18;

            /* "scipy/sparse/csgraph/_shortest_path.pyx":803
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 *                         dist_matrix[i, j] = d1 = d2 + w12
 *                         if return_pred:             # <<<<<<<<<<<<<<
 *                             pred[i, j] = ind_k
 * 
 */
            __pyx_t_17 = (__pyx_v_return_pred != 0);
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              /* "scipy/sparse/csgraph/_shortest_path.pyx":804
 *                         dist_matrix[i, j] = d1 = d2 + w12
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                __Pyx_RaiseBufferIndexError(__pyx_t_3);
                {__pyx_filename = __pyx_f[0]; __pyx_lineno = 804; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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              *__Pyx_BufPtrCContig2d(__pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_ITYPE_t *, __pyx_pybuffernd_pred.rcbuffer->pybuffer.buf, __pyx_t_25, __pyx_pybuffernd_pred.diminfo[0].strides, __pyx_t_26, __pyx_pybuffernd_pred.diminfo[1].strides) = __pyx_v_ind_k;
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    /* "scipy/sparse/csgraph/_shortest_path.pyx":807
 * 
 *         # check for negative-weight cycles
 *         for j from 0 <= j < N:             # <<<<<<<<<<<<<<
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      /* "scipy/sparse/csgraph/_shortest_path.pyx":808
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        __Pyx_RaiseBufferIndexError(__pyx_t_3);
        {__pyx_filename = __pyx_f[0]; __pyx_lineno = 808; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      }
      __pyx_v_d1 = (*__Pyx_BufPtrCContig2d(__pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_DTYPE_t *, __pyx_pybuffernd_dist_matrix.rcbuffer->pybuffer.buf, __pyx_t_27, __pyx_pybuffernd_dist_matrix.diminfo[0].strides, __pyx_t_28, __pyx_pybuffernd_dist_matrix.diminfo[1].strides));

      /* "scipy/sparse/csgraph/_shortest_path.pyx":809
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 *             for k from csr_indptr[j] <= k < csr_indptr[j + 1]:             # <<<<<<<<<<<<<<
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 */
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        __Pyx_RaiseBufferIndexError(__pyx_t_3);
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        __Pyx_RaiseBufferIndexError(__pyx_t_3);
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      __pyx_t_12 = (*__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_ITYPE_t *, __pyx_pybuffernd_csr_indptr.rcbuffer->pybuffer.buf, __pyx_t_6, __pyx_pybuffernd_csr_indptr.diminfo[0].strides));
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        /* "scipy/sparse/csgraph/_shortest_path.pyx":810
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 *             for k from csr_indptr[j] <= k < csr_indptr[j + 1]:
 *                 w12 = csr_weights[k]             # <<<<<<<<<<<<<<
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        if (unlikely(__pyx_t_30 >= (size_t)__pyx_pybuffernd_csr_weights.diminfo[0].shape)) __pyx_t_3 = 0;
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          __Pyx_RaiseBufferIndexError(__pyx_t_3);
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 * 
 * cdef void add_child(FibonacciNode* node, FibonacciNode* new_child):             # <<<<<<<<<<<<<<
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/* "scipy/sparse/csgraph/_shortest_path.pyx":1130
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 * cdef void add_sibling(FibonacciNode* node, FibonacciNode* new_sibling):             # <<<<<<<<<<<<<<
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static void __pyx_f_5scipy_6sparse_7csgraph_14_shortest_path_add_sibling(struct __pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_FibonacciNode *__pyx_v_node, struct __pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_FibonacciNode *__pyx_v_new_sibling) {
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 *     cdef FibonacciNode* temp = rightmost_sibling(node)             # <<<<<<<<<<<<<<
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 *     #              - new_sibling is not the child or sibling of another node
 *     cdef FibonacciNode* temp = rightmost_sibling(node)
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 * 
 */
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 * 
 * cdef void add_sibling(FibonacciNode* node, FibonacciNode* new_sibling):             # <<<<<<<<<<<<<<
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/* "scipy/sparse/csgraph/_shortest_path.pyx":1143
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 *             node.parent.children = node.left_sibling
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 *             node.parent.children = NULL
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 *     if node.left_sibling:             # <<<<<<<<<<<<<<
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    /* "scipy/sparse/csgraph/_shortest_path.pyx":1155
 * 
 *     if node.left_sibling:
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 */
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    /* "scipy/sparse/csgraph/_shortest_path.pyx":1157
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 *     node.left_sibling = NULL
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  /* "scipy/sparse/csgraph/_shortest_path.pyx":1160
 * 
 *     node.left_sibling = NULL
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 *     node.parent = NULL
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 */
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  /* "scipy/sparse/csgraph/_shortest_path.pyx":1161
 *     node.left_sibling = NULL
 *     node.right_sibling = NULL
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 * 
 */
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 * 
 * cdef void remove(FibonacciNode* node):             # <<<<<<<<<<<<<<
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/* "scipy/sparse/csgraph/_shortest_path.pyx":1177
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 * 
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    /* "scipy/sparse/csgraph/_shortest_path.pyx":1184
 *     if heap.min_node:
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 * 
 */
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  /* "scipy/sparse/csgraph/_shortest_path.pyx":1177
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 * 
 * cdef void insert_node(FibonacciHeap* heap,             # <<<<<<<<<<<<<<
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/* "scipy/sparse/csgraph/_shortest_path.pyx":1190
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 * 
 * cdef void decrease_val(FibonacciHeap* heap,             # <<<<<<<<<<<<<<
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static void __pyx_f_5scipy_6sparse_7csgraph_14_shortest_path_decrease_val(struct __pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_FibonacciHeap *__pyx_v_heap, struct __pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_FibonacciNode *__pyx_v_node, __pyx_t_5scipy_6sparse_7csgraph_14_shortest_path_DTYPE_t __pyx_v_newval) {
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  /* "scipy/sparse/csgraph/_shortest_path.pyx":1198
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 *         remove(node)
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 */
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 * 
 * cdef void decrease_val(FibonacciHeap* heap,             # <<<<<<<<<<<<<<
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/* "scipy/sparse/csgraph/_shortest_path.pyx":1206
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 * 
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    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 CYTHON_PEP393_ENABLED
        if (unlikely(PyUnicode_READY(s1) < 0) || unlikely(PyUnicode_READY(s2) < 0))
            return -1;
        #endif
        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
}

static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j) {
    PyObject *r;
    if (!j) return NULL;
    r = PyObject_GetItem(o, j);
    Py_DECREF(j);
    return r;
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i,
                                                              int wraparound, int boundscheck) {
#if CYTHON_COMPILING_IN_CPYTHON
    if (wraparound & unlikely(i < 0)) i += PyList_GET_SIZE(o);
    if ((!boundscheck) || likely((0 <= i) & (i < PyList_GET_SIZE(o)))) {
        PyObject *r = PyList_GET_ITEM(o, i);
        Py_INCREF(r);
        return r;
    }
    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
#else
    return PySequence_GetItem(o, i);
#endif
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,
                                                              int wraparound, int boundscheck) {
#if CYTHON_COMPILING_IN_CPYTHON
    if (wraparound & unlikely(i < 0)) i += PyTuple_GET_SIZE(o);
    if ((!boundscheck) || likely((0 <= i) & (i < PyTuple_GET_SIZE(o)))) {
        PyObject *r = PyTuple_GET_ITEM(o, i);
        Py_INCREF(r);
        return r;
    }
    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
#else
    return PySequence_GetItem(o, i);
#endif
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i,
                                                     int is_list, int wraparound, int boundscheck) {
#if CYTHON_COMPILING_IN_CPYTHON
    if (is_list || PyList_CheckExact(o)) {
        Py_ssize_t n = ((!wraparound) | likely(i >= 0)) ? i : i + PyList_GET_SIZE(o);
        if ((!boundscheck) || (likely((n >= 0) & (n < PyList_GET_SIZE(o))))) {
            PyObject *r = PyList_GET_ITEM(o, n);
            Py_INCREF(r);
            return r;
        }
    }
    else if (PyTuple_CheckExact(o)) {
        Py_ssize_t n = ((!wraparound) | likely(i >= 0)) ? i : i + PyTuple_GET_SIZE(o);
        if ((!boundscheck) || likely((n >= 0) & (n < PyTuple_GET_SIZE(o)))) {
            PyObject *r = PyTuple_GET_ITEM(o, n);
            Py_INCREF(r);
            return r;
        }
    } else {
        PySequenceMethods *m = Py_TYPE(o)->tp_as_sequence;
        if (likely(m && m->sq_item)) {
            if (wraparound && unlikely(i < 0) && likely(m->sq_length)) {
                Py_ssize_t l = m->sq_length(o);
                if (likely(l >= 0)) {
                    i += l;
                } else {
                    if (PyErr_ExceptionMatches(PyExc_OverflowError))
                        PyErr_Clear();
                    else
                        return NULL;
                }
            }
            return m->sq_item(o, i);
        }
    }
#else
    if (is_list || PySequence_Check(o)) {
        return PySequence_GetItem(o, i);
    }
#endif
    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
}

static CYTHON_INLINE void __Pyx_ErrRestore(PyObject *type, PyObject *value, PyObject *tb) {
#if CYTHON_COMPILING_IN_CPYTHON
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    PyThreadState *tstate = PyThreadState_GET();
    tmp_type = tstate->curexc_type;
    tmp_value = tstate->curexc_value;
    tmp_tb = tstate->curexc_traceback;
    tstate->curexc_type = type;
    tstate->curexc_value = value;
    tstate->curexc_traceback = tb;
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
#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 PY_VERSION_HEX < 0x02050000
    if (PyClass_Check(type)) {
    #else
    if (PyType_Check(type)) {
    #endif
#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;
        #if PY_VERSION_HEX < 0x02050000
        if (PyInstance_Check(type)) {
            type = (PyObject*) ((PyInstanceObject*)type)->in_class;
            Py_INCREF(type);
        } else {
            type = 0;
            PyErr_SetString(PyExc_TypeError,
                "raise: exception must be an old-style class or instance");
            goto raise_error;
        }
        #else
        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;
        }
        #endif
    }
    __Pyx_ErrRestore(type, value, tb);
    return;
raise_error:
    Py_XDECREF(value);
    Py_XDECREF(type);
    Py_XDECREF(tb);
    return;
}
#else /* Python 3+ */
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) {
                if (PyObject_IsSubclass(instance_class, type)) {
                    type = instance_class;
                } else {
                    instance_class = NULL;
                }
            }
        }
        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) {
        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);
        }
    }
bad:
    Py_XDECREF(owned_instance);
    return;
}
#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 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) /* First char was not a digit */
        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; /* Consume from buffer string */
    while (1) {
      if (field == &ctx->root) {
        ctx->head = NULL;
        if (ctx->enc_count != 0) {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return -1;
        }
        break; /* breaks both loops as ctx->enc_count == 0 */
      }
      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; /* empty struct */
        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;  /* not a 'break' in the loop */
        }
        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': /* substruct */
        {
          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; /* Erase processed last struct element */
          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 '}': /* end of substruct; either repeat or move on */
        {
          size_t alignment = ctx->struct_alignment;
          ++ts;
          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
          ctx->enc_type = 0; /* Erase processed last struct element */
          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 void __Pyx_WriteUnraisable(const char *name, CYTHON_UNUSED int clineno,
                                  CYTHON_UNUSED int lineno, CYTHON_UNUSED const char *filename,
                                  int full_traceback) {
    PyObject *old_exc, *old_val, *old_tb;
    PyObject *ctx;
    __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);
    }
}

static double __Pyx__PyObject_AsDouble(PyObject* obj) {
    PyObject* float_value;
#if CYTHON_COMPILING_IN_PYPY
    float_value = PyNumber_Float(obj);
#else
    PyNumberMethods *nb = Py_TYPE(obj)->tp_as_number;
    if (likely(nb) && likely(nb->nb_float)) {
        float_value = nb->nb_float(obj);
        if (likely(float_value) && unlikely(!PyFloat_Check(float_value))) {
            PyErr_Format(PyExc_TypeError,
                "__float__ returned non-float (type %.200s)",
                Py_TYPE(float_value)->tp_name);
            Py_DECREF(float_value);
            goto bad;
        }
    } else if (PyUnicode_CheckExact(obj) || PyBytes_CheckExact(obj)) {
#if PY_MAJOR_VERSION >= 3
        float_value = PyFloat_FromString(obj);
#else
        float_value = PyFloat_FromString(obj, 0);
#endif
    } else {
        PyObject* args = PyTuple_New(1);
        if (unlikely(!args)) goto bad;
        PyTuple_SET_ITEM(args, 0, obj);
        float_value = PyObject_Call((PyObject*)&PyFloat_Type, args, 0);
        PyTuple_SET_ITEM(args, 0, 0);
        Py_DECREF(args);
    }
#endif
    if (likely(float_value)) {
        double value = PyFloat_AS_DOUBLE(float_value);
        Py_DECREF(float_value);
        return value;
    }
bad:
    return (double)-1;
}

static void __Pyx_RaiseBufferIndexError(int axis) {
  PyErr_Format(PyExc_IndexError,
     "Out of bounds on buffer access (axis %d)", axis);
}

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

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_CalculateMetaclass(PyTypeObject *metaclass, PyObject *bases) {
    Py_ssize_t i, nbases = PyTuple_GET_SIZE(bases);
    for (i=0; i < nbases; i++) {
        PyTypeObject *tmptype;
        PyObject *tmp = PyTuple_GET_ITEM(bases, i);
        tmptype = Py_TYPE(tmp);
#if PY_MAJOR_VERSION < 3
        if (tmptype == &PyClass_Type)
            continue;
#endif
        if (!metaclass) {
            metaclass = tmptype;
            continue;
        }
        if (PyType_IsSubtype(metaclass, tmptype))
            continue;
        if (PyType_IsSubtype(tmptype, metaclass)) {
            metaclass = tmptype;
            continue;
        }
        PyErr_SetString(PyExc_TypeError,
                        "metaclass conflict: "
                        "the metaclass of a derived class "
                        "must be a (non-strict) subclass "
                        "of the metaclasses of all its bases");
        return NULL;
    }
    if (!metaclass) {
#if PY_MAJOR_VERSION < 3
        metaclass = &PyClass_Type;
#else
        metaclass = &PyType_Type;
#endif
    }
    Py_INCREF((PyObject*) metaclass);
    return (PyObject*) metaclass;
}

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;
}

static PyObject *
__Pyx_CyFunction_get_doc(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *closure)
{
    if (unlikely(op->func_doc == NULL)) {
        if (op->func.m_ml->ml_doc) {
#if PY_MAJOR_VERSION >= 3
            op->func_doc = PyUnicode_FromString(op->func.m_ml->ml_doc);
#else
            op->func_doc = PyString_FromString(op->func.m_ml->ml_doc);
#endif
            if (unlikely(op->func_doc == NULL))
                return NULL;
        } else {
            Py_INCREF(Py_None);
            return Py_None;
        }
    }
    Py_INCREF(op->func_doc);
    return op->func_doc;
}
static int
__Pyx_CyFunction_set_doc(__pyx_CyFunctionObject *op, PyObject *value)
{
    PyObject *tmp = op->func_doc;
    if (value == NULL)
        value = Py_None; /* Mark as deleted */
    Py_INCREF(value);
    op->func_doc = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_name(__pyx_CyFunctionObject *op)
{
    if (unlikely(op->func_name == NULL)) {
#if PY_MAJOR_VERSION >= 3
        op->func_name = PyUnicode_InternFromString(op->func.m_ml->ml_name);
#else
        op->func_name = PyString_InternFromString(op->func.m_ml->ml_name);
#endif
        if (unlikely(op->func_name == NULL))
            return NULL;
    }
    Py_INCREF(op->func_name);
    return op->func_name;
}
static int
__Pyx_CyFunction_set_name(__pyx_CyFunctionObject *op, 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 = op->func_name;
    Py_INCREF(value);
    op->func_name = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_qualname(__pyx_CyFunctionObject *op)
{
    Py_INCREF(op->func_qualname);
    return op->func_qualname;
}
static int
__Pyx_CyFunction_set_qualname(__pyx_CyFunctionObject *op, 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 = op->func_qualname;
    Py_INCREF(value);
    op->func_qualname = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_self(__pyx_CyFunctionObject *m, CYTHON_UNUSED void *closure)
{
    PyObject *self;
    self = m->func_closure;
    if (self == NULL)
        self = Py_None;
    Py_INCREF(self);
    return self;
}
static PyObject *
__Pyx_CyFunction_get_dict(__pyx_CyFunctionObject *op)
{
    if (unlikely(op->func_dict == NULL)) {
        op->func_dict = PyDict_New();
        if (unlikely(op->func_dict == NULL))
            return NULL;
    }
    Py_INCREF(op->func_dict);
    return op->func_dict;
}
static int
__Pyx_CyFunction_set_dict(__pyx_CyFunctionObject *op, PyObject *value)
{
    PyObject *tmp;
    if (unlikely(value == NULL)) {
        PyErr_SetString(PyExc_TypeError,
               "function's dictionary may not be deleted");
        return -1;
    }
    if (unlikely(!PyDict_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
               "setting function's dictionary to a non-dict");
        return -1;
    }
    tmp = op->func_dict;
    Py_INCREF(value);
    op->func_dict = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_globals(__pyx_CyFunctionObject *op)
{
    Py_INCREF(op->func_globals);
    return op->func_globals;
}
static PyObject *
__Pyx_CyFunction_get_closure(CYTHON_UNUSED __pyx_CyFunctionObject *op)
{
    Py_INCREF(Py_None);
    return Py_None;
}
static PyObject *
__Pyx_CyFunction_get_code(__pyx_CyFunctionObject *op)
{
    PyObject* result = (op->func_code) ? op->func_code : Py_None;
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_init_defaults(__pyx_CyFunctionObject *op) {
    PyObject *res = op->defaults_getter((PyObject *) op);
    if (unlikely(!res))
        return -1;
    op->defaults_tuple = PyTuple_GET_ITEM(res, 0);
    Py_INCREF(op->defaults_tuple);
    op->defaults_kwdict = PyTuple_GET_ITEM(res, 1);
    Py_INCREF(op->defaults_kwdict);
    Py_DECREF(res);
    return 0;
}
static int
__Pyx_CyFunction_set_defaults(__pyx_CyFunctionObject *op, PyObject* value) {
    PyObject* tmp;
    if (!value) {
        value = Py_None;
    } else if (value != Py_None && !PyTuple_Check(value)) {
        PyErr_SetString(PyExc_TypeError,
                        "__defaults__ must be set to a tuple object");
        return -1;
    }
    Py_INCREF(value);
    tmp = op->defaults_tuple;
    op->defaults_tuple = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_defaults(__pyx_CyFunctionObject *op) {
    PyObject* result = op->defaults_tuple;
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (__Pyx_CyFunction_init_defaults(op) < 0) return NULL;
            result = op->defaults_tuple;
        } else {
            result = Py_None;
        }
    }
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_set_kwdefaults(__pyx_CyFunctionObject *op, PyObject* value) {
    PyObject* tmp;
    if (!value) {
        value = Py_None;
    } else if (value != Py_None && !PyDict_Check(value)) {
        PyErr_SetString(PyExc_TypeError,
                        "__kwdefaults__ must be set to a dict object");
        return -1;
    }
    Py_INCREF(value);
    tmp = op->defaults_kwdict;
    op->defaults_kwdict = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_kwdefaults(__pyx_CyFunctionObject *op) {
    PyObject* result = op->defaults_kwdict;
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (__Pyx_CyFunction_init_defaults(op) < 0) return NULL;
            result = op->defaults_kwdict;
        } else {
            result = Py_None;
        }
    }
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_set_annotations(__pyx_CyFunctionObject *op, PyObject* value) {
    PyObject* tmp;
    if (!value || value == Py_None) {
        value = NULL;
    } else if (!PyDict_Check(value)) {
        PyErr_SetString(PyExc_TypeError,
                        "__annotations__ must be set to a dict object");
        return -1;
    }
    Py_XINCREF(value);
    tmp = op->func_annotations;
    op->func_annotations = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_annotations(__pyx_CyFunctionObject *op) {
    PyObject* result = op->func_annotations;
    if (unlikely(!result)) {
        result = PyDict_New();
        if (unlikely(!result)) return NULL;
        op->func_annotations = result;
    }
    Py_INCREF(result);
    return result;
}
static PyGetSetDef __pyx_CyFunction_getsets[] = {
    {(char *) "func_doc", (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {(char *) "__doc__",  (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {(char *) "func_name", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {(char *) "__name__", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {(char *) "__qualname__", (getter)__Pyx_CyFunction_get_qualname, (setter)__Pyx_CyFunction_set_qualname, 0, 0},
    {(char *) "__self__", (getter)__Pyx_CyFunction_get_self, 0, 0, 0},
    {(char *) "func_dict", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},
    {(char *) "__dict__", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},
    {(char *) "func_globals", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {(char *) "__globals__", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {(char *) "func_closure", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {(char *) "__closure__", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {(char *) "func_code", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {(char *) "__code__", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {(char *) "func_defaults", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {(char *) "__defaults__", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {(char *) "__kwdefaults__", (getter)__Pyx_CyFunction_get_kwdefaults, (setter)__Pyx_CyFunction_set_kwdefaults, 0, 0},
    {(char *) "__annotations__", (getter)__Pyx_CyFunction_get_annotations, (setter)__Pyx_CyFunction_set_annotations, 0, 0},
    {0, 0, 0, 0, 0}
};
#ifndef PY_WRITE_RESTRICTED /* < Py2.5 */
#define PY_WRITE_RESTRICTED WRITE_RESTRICTED
#endif
static PyMemberDef __pyx_CyFunction_members[] = {
    {(char *) "__module__", T_OBJECT, offsetof(__pyx_CyFunctionObject, func.m_module), PY_WRITE_RESTRICTED, 0},
    {0, 0, 0,  0, 0}
};
static PyObject *
__Pyx_CyFunction_reduce(__pyx_CyFunctionObject *m, CYTHON_UNUSED PyObject *args)
{
#if PY_MAJOR_VERSION >= 3
    return PyUnicode_FromString(m->func.m_ml->ml_name);
#else
    return PyString_FromString(m->func.m_ml->ml_name);
#endif
}
static PyMethodDef __pyx_CyFunction_methods[] = {
    {__Pyx_NAMESTR("__reduce__"), (PyCFunction)__Pyx_CyFunction_reduce, METH_VARARGS, 0},
    {0, 0, 0, 0}
};
static PyObject *__Pyx_CyFunction_New(PyTypeObject *type, PyMethodDef *ml, int flags, PyObject* qualname,
                                      PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {
    __pyx_CyFunctionObject *op = PyObject_GC_New(__pyx_CyFunctionObject, type);
    if (op == NULL)
        return NULL;
    op->flags = flags;
    op->func_weakreflist = NULL;
    op->func.m_ml = ml;
    op->func.m_self = (PyObject *) op;
    Py_XINCREF(closure);
    op->func_closure = closure;
    Py_XINCREF(module);
    op->func.m_module = module;
    op->func_dict = NULL;
    op->func_name = NULL;
    Py_INCREF(qualname);
    op->func_qualname = qualname;
    op->func_doc = NULL;
    op->func_classobj = NULL;
    op->func_globals = globals;
    Py_INCREF(op->func_globals);
    Py_XINCREF(code);
    op->func_code = code;
    op->defaults_pyobjects = 0;
    op->defaults = NULL;
    op->defaults_tuple = NULL;
    op->defaults_kwdict = NULL;
    op->defaults_getter = NULL;
    op->func_annotations = NULL;
    PyObject_GC_Track(op);
    return (PyObject *) op;
}
static int
__Pyx_CyFunction_clear(__pyx_CyFunctionObject *m)
{
    Py_CLEAR(m->func_closure);
    Py_CLEAR(m->func.m_module);
    Py_CLEAR(m->func_dict);
    Py_CLEAR(m->func_name);
    Py_CLEAR(m->func_qualname);
    Py_CLEAR(m->func_doc);
    Py_CLEAR(m->func_globals);
    Py_CLEAR(m->func_code);
    Py_CLEAR(m->func_classobj);
    Py_CLEAR(m->defaults_tuple);
    Py_CLEAR(m->defaults_kwdict);
    Py_CLEAR(m->func_annotations);
    if (m->defaults) {
        PyObject **pydefaults = __Pyx_CyFunction_Defaults(PyObject *, m);
        int i;
        for (i = 0; i < m->defaults_pyobjects; i++)
            Py_XDECREF(pydefaults[i]);
        PyMem_Free(m->defaults);
        m->defaults = NULL;
    }
    return 0;
}
static void __Pyx_CyFunction_dealloc(__pyx_CyFunctionObject *m)
{
    PyObject_GC_UnTrack(m);
    if (m->func_weakreflist != NULL)
        PyObject_ClearWeakRefs((PyObject *) m);
    __Pyx_CyFunction_clear(m);
    PyObject_GC_Del(m);
}
static int __Pyx_CyFunction_traverse(__pyx_CyFunctionObject *m, visitproc visit, void *arg)
{
    Py_VISIT(m->func_closure);
    Py_VISIT(m->func.m_module);
    Py_VISIT(m->func_dict);
    Py_VISIT(m->func_name);
    Py_VISIT(m->func_qualname);
    Py_VISIT(m->func_doc);
    Py_VISIT(m->func_globals);
    Py_VISIT(m->func_code);
    Py_VISIT(m->func_classobj);
    Py_VISIT(m->defaults_tuple);
    Py_VISIT(m->defaults_kwdict);
    if (m->defaults) {
        PyObject **pydefaults = __Pyx_CyFunction_Defaults(PyObject *, m);
        int i;
        for (i = 0; i < m->defaults_pyobjects; i++)
            Py_VISIT(pydefaults[i]);
    }
    return 0;
}
static PyObject *__Pyx_CyFunction_descr_get(PyObject *func, PyObject *obj, PyObject *type)
{
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    if (m->flags & __Pyx_CYFUNCTION_STATICMETHOD) {
        Py_INCREF(func);
        return func;
    }
    if (m->flags & __Pyx_CYFUNCTION_CLASSMETHOD) {
        if (type == NULL)
            type = (PyObject *)(Py_TYPE(obj));
        return PyMethod_New(func,
                            type, (PyObject *)(Py_TYPE(type)));
    }
    if (obj == Py_None)
        obj = NULL;
    return PyMethod_New(func, obj, type);
}
static PyObject*
__Pyx_CyFunction_repr(__pyx_CyFunctionObject *op)
{
#if PY_MAJOR_VERSION >= 3
    return PyUnicode_FromFormat("<cyfunction %U at %p>",
                                op->func_qualname, (void *)op);
#else
    return PyString_FromFormat("<cyfunction %s at %p>",
                               PyString_AsString(op->func_qualname), (void *)op);
#endif
}
#if CYTHON_COMPILING_IN_PYPY
static PyObject * __Pyx_CyFunction_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    PyCFunctionObject* f = (PyCFunctionObject*)func;
    PyCFunction meth = PyCFunction_GET_FUNCTION(func);
    PyObject *self = PyCFunction_GET_SELF(func);
    Py_ssize_t size;
    switch (PyCFunction_GET_FLAGS(func) & ~(METH_CLASS | METH_STATIC | METH_COEXIST)) {
    case METH_VARARGS:
        if (likely(kw == NULL) || PyDict_Size(kw) == 0)
            return (*meth)(self, arg);
        break;
    case METH_VARARGS | METH_KEYWORDS:
        return (*(PyCFunctionWithKeywords)meth)(self, arg, kw);
    case METH_NOARGS:
        if (likely(kw == NULL) || PyDict_Size(kw) == 0) {
            size = PyTuple_GET_SIZE(arg);
            if (size == 0)
                return (*meth)(self, NULL);
            PyErr_Format(PyExc_TypeError,
                "%.200s() takes no arguments (%zd given)",
                f->m_ml->ml_name, size);
            return NULL;
        }
        break;
    case METH_O:
        if (likely(kw == NULL) || PyDict_Size(kw) == 0) {
            size = PyTuple_GET_SIZE(arg);
            if (size == 1)
                return (*meth)(self, PyTuple_GET_ITEM(arg, 0));
            PyErr_Format(PyExc_TypeError,
                "%.200s() takes exactly one argument (%zd given)",
                f->m_ml->ml_name, size);
            return NULL;
        }
        break;
    default:
        PyErr_SetString(PyExc_SystemError, "Bad call flags in "
                        "__Pyx_CyFunction_Call. METH_OLDARGS is no "
                        "longer supported!");
        return NULL;
    }
    PyErr_Format(PyExc_TypeError, "%.200s() takes no keyword arguments",
                 f->m_ml->ml_name);
    return NULL;
}
#else
static PyObject * __Pyx_CyFunction_Call(PyObject *func, PyObject *arg, PyObject *kw) {
	return PyCFunction_Call(func, arg, kw);
}
#endif
static PyTypeObject __pyx_CyFunctionType_type = {
    PyVarObject_HEAD_INIT(0, 0)
    __Pyx_NAMESTR("cython_function_or_method"), /*tp_name*/
    sizeof(__pyx_CyFunctionObject),   /*tp_basicsize*/
    0,                                  /*tp_itemsize*/
    (destructor) __Pyx_CyFunction_dealloc, /*tp_dealloc*/
    0,                                  /*tp_print*/
    0,                                  /*tp_getattr*/
    0,                                  /*tp_setattr*/
#if PY_MAJOR_VERSION < 3
    0,                                  /*tp_compare*/
#else
    0,                                  /*reserved*/
#endif
    (reprfunc) __Pyx_CyFunction_repr,   /*tp_repr*/
    0,                                  /*tp_as_number*/
    0,                                  /*tp_as_sequence*/
    0,                                  /*tp_as_mapping*/
    0,                                  /*tp_hash*/
    __Pyx_CyFunction_Call,              /*tp_call*/
    0,                                  /*tp_str*/
    0,                                  /*tp_getattro*/
    0,                                  /*tp_setattro*/
    0,                                  /*tp_as_buffer*/
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC, /* tp_flags*/
    0,                                  /*tp_doc*/
    (traverseproc) __Pyx_CyFunction_traverse,   /*tp_traverse*/
    (inquiry) __Pyx_CyFunction_clear,   /*tp_clear*/
    0,                                  /*tp_richcompare*/
    offsetof(__pyx_CyFunctionObject, func_weakreflist), /* tp_weaklistoffse */
    0,                                  /*tp_iter*/
    0,                                  /*tp_iternext*/
    __pyx_CyFunction_methods,           /*tp_methods*/
    __pyx_CyFunction_members,           /*tp_members*/
    __pyx_CyFunction_getsets,           /*tp_getset*/
    0,                                  /*tp_base*/
    0,                                  /*tp_dict*/
    __Pyx_CyFunction_descr_get,         /*tp_descr_get*/
    0,                                  /*tp_descr_set*/
    offsetof(__pyx_CyFunctionObject, func_dict),/*tp_dictoffset*/
    0,                                  /*tp_init*/
    0,                                  /*tp_alloc*/
    0,                                  /*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*/
#if PY_VERSION_HEX >= 0x02060000
    0,                                  /*tp_version_tag*/
#endif
#if PY_VERSION_HEX >= 0x030400a1
    0,                                  /*tp_finalize*/
#endif
};
static int __Pyx_CyFunction_init(void) {
#if !CYTHON_COMPILING_IN_PYPY
    __pyx_CyFunctionType_type.tp_call = PyCFunction_Call;
#endif
    __pyx_CyFunctionType = __Pyx_FetchCommonType(&__pyx_CyFunctionType_type);
    if (__pyx_CyFunctionType == NULL) {
        return -1;
    }
    return 0;
}
static CYTHON_INLINE void *__Pyx_CyFunction_InitDefaults(PyObject *func, size_t size, int pyobjects) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults = PyMem_Malloc(size);
    if (!m->defaults)
        return PyErr_NoMemory();
    memset(m->defaults, 0, size);
    m->defaults_pyobjects = pyobjects;
    return m->defaults;
}
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *func, PyObject *tuple) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults_tuple = tuple;
    Py_INCREF(tuple);
}
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *func, PyObject *dict) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults_kwdict = dict;
    Py_INCREF(dict);
}
static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *func, PyObject *dict) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->func_annotations = dict;
    Py_INCREF(dict);
}

static PyObject *__Pyx_Py3MetaclassPrepare(PyObject *metaclass, PyObject *bases, PyObject *name,
                                           PyObject *qualname, PyObject *mkw, PyObject *modname, PyObject *doc) {
    PyObject *ns;
    if (metaclass) {
        PyObject *prep = __Pyx_PyObject_GetAttrStr(metaclass, __pyx_n_s_prepare);
        if (prep) {
            PyObject *pargs = PyTuple_Pack(2, name, bases);
            if (unlikely(!pargs)) {
                Py_DECREF(prep);
                return NULL;
            }
            ns = PyObject_Call(prep, pargs, mkw);
            Py_DECREF(prep);
            Py_DECREF(pargs);
        } else {
            if (unlikely(!PyErr_ExceptionMatches(PyExc_AttributeError)))
                return NULL;
            PyErr_Clear();
            ns = PyDict_New();
        }
    } else {
        ns = PyDict_New();
    }
    if (unlikely(!ns))
        return NULL;
    if (unlikely(PyObject_SetItem(ns, __pyx_n_s_module, modname) < 0)) goto bad;
    if (unlikely(PyObject_SetItem(ns, __pyx_n_s_qualname, qualname) < 0)) goto bad;
    if (unlikely(doc && PyObject_SetItem(ns, __pyx_n_s_doc, doc) < 0)) goto bad;
    return ns;
bad:
    Py_DECREF(ns);
    return NULL;
}
static PyObject *__Pyx_Py3ClassCreate(PyObject *metaclass, PyObject *name, PyObject *bases,
                                      PyObject *dict, PyObject *mkw,
                                      int calculate_metaclass, int allow_py2_metaclass) {
    PyObject *result, *margs;
    PyObject *owned_metaclass = NULL;
    if (allow_py2_metaclass) {
        owned_metaclass = PyObject_GetItem(dict, __pyx_n_s_metaclass);
        if (owned_metaclass) {
            metaclass = owned_metaclass;
        } else if (likely(PyErr_ExceptionMatches(PyExc_KeyError))) {
            PyErr_Clear();
        } else {
            return NULL;
        }
    }
    if (calculate_metaclass && (!metaclass || PyType_Check(metaclass))) {
        metaclass = __Pyx_CalculateMetaclass((PyTypeObject*) metaclass, bases);
        Py_XDECREF(owned_metaclass);
        if (unlikely(!metaclass))
            return NULL;
        owned_metaclass = metaclass;
    }
    margs = PyTuple_Pack(3, name, bases, dict);
    if (unlikely(!margs)) {
        result = NULL;
    } else {
        result = PyObject_Call(metaclass, margs, mkw);
        Py_DECREF(margs);
    }
    Py_XDECREF(owned_metaclass);
    return result;
}

#if PY_MAJOR_VERSION < 3
static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags) {
  #if PY_VERSION_HEX >= 0x02060000
    if (PyObject_CheckBuffer(obj)) return PyObject_GetBuffer(obj, view, flags);
  #endif
        if (PyObject_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) return __pyx_pw_5numpy_7ndarray_1__getbuffer__(obj, view, flags);
  #if PY_VERSION_HEX < 0x02060000
    if (obj->ob_type->tp_dict) {
        PyObject *getbuffer_cobj = PyObject_GetItem(
            obj->ob_type->tp_dict, __pyx_n_s_pyx_getbuffer);
        if (getbuffer_cobj) {
            getbufferproc func = (getbufferproc) PyCObject_AsVoidPtr(getbuffer_cobj);
            Py_DECREF(getbuffer_cobj);
            if (!func)
                goto fail;
            return func(obj, view, flags);
        } else {
            PyErr_Clear();
        }
    }
  #endif
    PyErr_Format(PyExc_TypeError, "'%.200s' does not have the buffer interface", Py_TYPE(obj)->tp_name);
#if PY_VERSION_HEX < 0x02060000
fail:
#endif
    return -1;
}
static void __Pyx_ReleaseBuffer(Py_buffer *view) {
    PyObject *obj = view->obj;
    if (!obj) return;
  #if PY_VERSION_HEX >= 0x02060000
    if (PyObject_CheckBuffer(obj)) {
        PyBuffer_Release(view);
        return;
    }
  #endif
        if (PyObject_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) { __pyx_pw_5numpy_7ndarray_3__releasebuffer__(obj, view); return; }
  #if PY_VERSION_HEX < 0x02060000
    if (obj->ob_type->tp_dict) {
        PyObject *releasebuffer_cobj = PyObject_GetItem(
            obj->ob_type->tp_dict, __pyx_n_s_pyx_releasebuffer);
        if (releasebuffer_cobj) {
            releasebufferproc func = (releasebufferproc) PyCObject_AsVoidPtr(releasebuffer_cobj);
            Py_DECREF(releasebuffer_cobj);
            if (!func)
                goto fail;
            func(obj, view);
            return;
        } else {
            PyErr_Clear();
        }
    }
  #endif
    goto nofail;
#if PY_VERSION_HEX < 0x02060000
fail:
#endif
    PyErr_WriteUnraisable(obj);
nofail:
    Py_DECREF(obj);
    view->obj = NULL;
}
#endif /*  PY_MAJOR_VERSION < 3 */


            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_VERSION_HEX >= 0x02050000
    {
        #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; /* try absolute import on failure */
        }
        #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
        }
    }
    #else
    if (level>0) {
        PyErr_SetString(PyExc_RuntimeError, "Relative import is not supported for Python <=2.4.");
        goto bad;
    }
    module = PyObject_CallFunctionObjArgs(py_import,
        name, global_dict, empty_dict, list, NULL);
    #endif
bad:
    #if PY_VERSION_HEX < 0x03030000
    Py_XDECREF(py_import);
    #endif
    Py_XDECREF(empty_list);
    Py_XDECREF(empty_dict);
    return module;
}

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) {
    const long neg_one = (long) -1, const_zero = 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 long long)) {
            return PyLong_FromUnsignedLongLong((unsigned long long) value);
        }
    } else {
        if (sizeof(long) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(long) <= sizeof(long long)) {
            return PyLong_FromLongLong((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);
    }
}

#define __PYX_VERIFY_RETURN_INT(target_type, func_type, func)             \
    {                                                                     \
        func_type value = func(x);                                        \
        if (sizeof(target_type) < sizeof(func_type)) {                    \
            if (unlikely(value != (func_type) (target_type) value)) {     \
                func_type zero = 0;                                       \
                PyErr_SetString(PyExc_OverflowError,                      \
                    (is_unsigned && unlikely(value < zero)) ?             \
                    "can't convert negative value to " #target_type :     \
                    "value too large to convert to " #target_type);       \
                return (target_type) -1;                                  \
            }                                                             \
        }                                                                 \
        return (target_type) value;                                       \
    }

#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
 #if CYTHON_USE_PYLONG_INTERNALS
  #include "longintrepr.h"
 #endif
#endif
static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *x) {
    const int neg_one = (int) -1, const_zero = 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)
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                PyErr_SetString(PyExc_OverflowError,
                                "can't convert negative value to int");
                return (int) -1;
            }
            return (int) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
 #if CYTHON_USE_PYLONG_INTERNALS
            if (sizeof(digit) <= sizeof(int)) {
                switch (Py_SIZE(x)) {
                    case  0: return 0;
                    case  1: return (int) ((PyLongObject*)x)->ob_digit[0];
                }
            }
 #endif
#endif
            if (unlikely(Py_SIZE(x) < 0)) {
                PyErr_SetString(PyExc_OverflowError,
                                "can't convert negative value to int");
                return (int) -1;
            }
            if (sizeof(int) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT(int, unsigned long, PyLong_AsUnsignedLong)
            } else if (sizeof(int) <= sizeof(unsigned long long)) {
                __PYX_VERIFY_RETURN_INT(int, unsigned long long, PyLong_AsUnsignedLongLong)
            }
        } else {
#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
 #if CYTHON_USE_PYLONG_INTERNALS
            if (sizeof(digit) <= sizeof(int)) {
                switch (Py_SIZE(x)) {
                    case  0: return 0;
                    case  1: return +(int) ((PyLongObject*)x)->ob_digit[0];
                    case -1: return -(int) ((PyLongObject*)x)->ob_digit[0];
                }
            }
 #endif
#endif
            if (sizeof(int) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT(int, long, PyLong_AsLong)
            } else if (sizeof(int) <= sizeof(long long)) {
                __PYX_VERIFY_RETURN_INT(int, long long, PyLong_AsLongLong)
            }
        }
        {
#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;
    }
}

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_npy_int32(npy_int32 value) {
    const npy_int32 neg_one = (npy_int32) -1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(npy_int32) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(npy_int32) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
        } else if (sizeof(npy_int32) <= sizeof(unsigned long long)) {
            return PyLong_FromUnsignedLongLong((unsigned long long) value);
        }
    } else {
        if (sizeof(npy_int32) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(npy_int32) <= sizeof(long long)) {
            return PyLong_FromLongLong((long long) value);
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(npy_int32),
                                     little, !is_unsigned);
    }
}

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value) {
    const int neg_one = (int) -1, const_zero = 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 long long)) {
            return PyLong_FromUnsignedLongLong((unsigned long long) value);
        }
    } else {
        if (sizeof(int) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(int) <= sizeof(long long)) {
            return PyLong_FromLongLong((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);
    }
}

#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

#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
 #if CYTHON_USE_PYLONG_INTERNALS
  #include "longintrepr.h"
 #endif
#endif
static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *x) {
    const long neg_one = (long) -1, const_zero = 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)
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                PyErr_SetString(PyExc_OverflowError,
                                "can't convert negative value to long");
                return (long) -1;
            }
            return (long) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
 #if CYTHON_USE_PYLONG_INTERNALS
            if (sizeof(digit) <= sizeof(long)) {
                switch (Py_SIZE(x)) {
                    case  0: return 0;
                    case  1: return (long) ((PyLongObject*)x)->ob_digit[0];
                }
            }
 #endif
#endif
            if (unlikely(Py_SIZE(x) < 0)) {
                PyErr_SetString(PyExc_OverflowError,
                                "can't convert negative value to long");
                return (long) -1;
            }
            if (sizeof(long) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT(long, unsigned long, PyLong_AsUnsignedLong)
            } else if (sizeof(long) <= sizeof(unsigned long long)) {
                __PYX_VERIFY_RETURN_INT(long, unsigned long long, PyLong_AsUnsignedLongLong)
            }
        } else {
#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
 #if CYTHON_USE_PYLONG_INTERNALS
            if (sizeof(digit) <= sizeof(long)) {
                switch (Py_SIZE(x)) {
                    case  0: return 0;
                    case  1: return +(long) ((PyLongObject*)x)->ob_digit[0];
                    case -1: return -(long) ((PyLongObject*)x)->ob_digit[0];
                }
            }
 #endif
#endif
            if (sizeof(long) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT(long, long, PyLong_AsLong)
            } else if (sizeof(long) <= sizeof(long long)) {
                __PYX_VERIFY_RETURN_INT(long, long long, PyLong_AsLongLong)
            }
        }
        {
#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;
    }
}

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);
        #if PY_VERSION_HEX < 0x02050000
        return PyErr_Warn(NULL, message);
        #else
        return PyErr_WarnEx(NULL, message, 1);
        #endif
    }
    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 PY_VERSION_HEX < 0x02050000
        if (PyErr_Warn(NULL, warning) < 0) goto bad;
        #else
        if (PyErr_WarnEx(NULL, warning, 0) < 0) goto bad;
        #endif
    }
    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

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) / 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,            /*int argcount,*/
        0,            /*int kwonlyargcount,*/
        0,            /*int nlocals,*/
        0,            /*int stacksize,*/
        0,            /*int flags,*/
        __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,      /*int firstlineno,*/
        __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;
    PyObject *py_globals = 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_globals = PyModule_GetDict(__pyx_m);
    if (!py_globals) goto bad;
    py_frame = PyFrame_New(
        PyThreadState_GET(), /*PyThreadState *tstate,*/
        py_code,             /*PyCodeObject *code,*/
        py_globals,          /*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);
}

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  /* Python 3+ has unicode identifiers */
        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 __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 /*__PYX_DEFAULT_STRING_ENCODING_IS_ASCII*/
        *length = PyBytes_GET_SIZE(defenc);
        return defenc_c;
#else /* PY_VERSION_HEX < 0x03030000 */
        if (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 /* __PYX_DEFAULT_STRING_ENCODING_IS_ASCII */
        return PyUnicode_AsUTF8AndSize(o, length);
#endif /* __PYX_DEFAULT_STRING_ENCODING_IS_ASCII */
#endif /* PY_VERSION_HEX < 0x03030000 */
    } else
#endif /* __PYX_DEFAULT_STRING_ENCODING_IS_ASCII  || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT */
#if !CYTHON_COMPILING_IN_PYPY
#if PY_VERSION_HEX >= 0x02060000
    if (PyByteArray_Check(o)) {
        *length = PyByteArray_GET_SIZE(o);
        return PyByteArray_AS_STRING(o);
    } else
#endif
#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 Py_INCREF(x), 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;
}
#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
 #if CYTHON_USE_PYLONG_INTERNALS
  #include "longintrepr.h"
 #endif
#endif
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)))
      return PyInt_AS_LONG(b);
#endif
  if (likely(PyLong_CheckExact(b))) {
    #if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
     #if CYTHON_USE_PYLONG_INTERNALS
       switch (Py_SIZE(b)) {
       case -1: return -(sdigit)((PyLongObject*)b)->ob_digit[0];
       case  0: return 0;
       case  1: return ((PyLongObject*)b)->ob_digit[0];
       }
     #endif
    #endif
  #if PY_VERSION_HEX < 0x02060000
    return PyInt_AsSsize_t(b);
  #else
    return PyLong_AsSsize_t(b);
  #endif
  }
  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) {
#if PY_VERSION_HEX < 0x02050000
   if (ival <= LONG_MAX)
       return PyInt_FromLong((long)ival);
   else {
       unsigned char *bytes = (unsigned char *) &ival;
       int one = 1; int little = (int)*(unsigned char*)&one;
       return _PyLong_FromByteArray(bytes, sizeof(size_t), little, 0);
   }
#else
   return PyInt_FromSize_t(ival);
#endif
}


#endif /* Py_PYTHON_H */
