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#if PY_MAJOR_VERSION >= 3
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#define __Pyx_PyType_AsAsync(obj) (Py_TYPE(obj)->tp_as_async)
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typedef struct {
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} __Pyx_PyAsyncMethodsStruct;
#define __Pyx_PyType_AsAsync(obj) ((__Pyx_PyAsyncMethodsStruct*) (Py_TYPE(obj)->tp_reserved))
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#define __Pyx_void_to_None(void_result) ((void)(void_result), Py_INCREF(Py_None), Py_None)

#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

#if defined(WIN32) || defined(MS_WINDOWS)
  #define _USE_MATH_DEFINES
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#include <math.h>
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#define __PYX_NAN() ((float) NAN)
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static CYTHON_INLINE float __PYX_NAN() {
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}
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#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_TrueDivide(x,y)
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  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_Divide(x,y)
  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceDivide(x,y)
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#ifndef __PYX_EXTERN_C
  #ifdef __cplusplus
    #define __PYX_EXTERN_C extern "C"
  #else
    #define __PYX_EXTERN_C extern
  #endif
#endif

#define __PYX_HAVE__scipy__sparse__csgraph___traversal
#define __PYX_HAVE_API__scipy__sparse__csgraph___traversal
#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
#ifndef CYTHON_NCP_UNUSED
# if CYTHON_COMPILING_IN_CPYTHON
#  define CYTHON_NCP_UNUSED
# else
#  define CYTHON_NCP_UNUSED 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;

#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_uchar_cast(c) ((unsigned char)c)
#define __Pyx_long_cast(x) ((long)x)
#define __Pyx_fits_Py_ssize_t(v, type, is_signed)  (\
    (sizeof(type) < sizeof(Py_ssize_t))  ||\
    (sizeof(type) > sizeof(Py_ssize_t) &&\
          likely(v < (type)PY_SSIZE_T_MAX ||\
                 v == (type)PY_SSIZE_T_MAX)  &&\
          (!is_signed || likely(v > (type)PY_SSIZE_T_MIN ||\
                                v == (type)PY_SSIZE_T_MIN)))  ||\
    (sizeof(type) == sizeof(Py_ssize_t) &&\
          (is_signed || likely(v < (type)PY_SSIZE_T_MAX ||\
                               v == (type)PY_SSIZE_T_MAX)))  )
#if defined (__cplusplus) && __cplusplus >= 201103L
    #include <cstdlib>
    #define __Pyx_sst_abs(value) std::abs(value)
#elif SIZEOF_INT >= SIZEOF_SIZE_T
    #define __Pyx_sst_abs(value) abs(value)
#elif SIZEOF_LONG >= SIZEOF_SIZE_T
    #define __Pyx_sst_abs(value) labs(value)
#elif defined (_MSC_VER) && defined (_M_X64)
    #define __Pyx_sst_abs(value) _abs64(value)
#elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define __Pyx_sst_abs(value) llabs(value)
#elif defined (__GNUC__)
    #define __Pyx_sst_abs(value) __builtin_llabs(value)
#else
    #define __Pyx_sst_abs(value) ((value<0) ? -value : value)
#endif
static CYTHON_INLINE 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_FromCString(s)  __Pyx_PyObject_FromString((const char*)s)
#define __Pyx_PyBytes_FromCString(s)   __Pyx_PyBytes_FromString((const char*)s)
#define __Pyx_PyByteArray_FromCString(s)   __Pyx_PyByteArray_FromString((const char*)s)
#define __Pyx_PyStr_FromCString(s)     __Pyx_PyStr_FromString((const char*)s)
#define __Pyx_PyUnicode_FromCString(s) __Pyx_PyUnicode_FromString((const char*)s)
#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_NewRef(obj) (Py_INCREF(obj), obj)
#define __Pyx_Owned_Py_None(b) __Pyx_NewRef(Py_None)
#define __Pyx_PyBool_FromLong(b) ((b) ? __Pyx_NewRef(Py_True) : __Pyx_NewRef(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*) "getdefaultencoding", NULL);
    Py_DECREF(sys);
    if (!default_encoding) goto bad;
    default_encoding_c = PyBytes_AsString(default_encoding);
    if (!default_encoding_c) goto bad;
    if (strcmp(default_encoding_c, "ascii") == 0) {
        __Pyx_sys_getdefaultencoding_not_ascii = 0;
    } else {
        char ascii_chars[128];
        int c;
        for (c = 0; c < 128; c++) {
            ascii_chars[c] = c;
        }
        __Pyx_sys_getdefaultencoding_not_ascii = 1;
        ascii_chars_u = PyUnicode_DecodeASCII(ascii_chars, 128, NULL);
        if (!ascii_chars_u) goto bad;
        ascii_chars_b = PyUnicode_AsEncodedString(ascii_chars_u, default_encoding_c, NULL);
        if (!ascii_chars_b || !PyBytes_Check(ascii_chars_b) || memcmp(ascii_chars, PyBytes_AS_STRING(ascii_chars_b), 128) != 0) {
            PyErr_Format(
                PyExc_ValueError,
                "This module compiled with c_string_encoding=ascii, but default encoding '%.200s' is not a superset of ascii.",
                default_encoding_c);
            goto bad;
        }
        Py_DECREF(ascii_chars_u);
        Py_DECREF(ascii_chars_b);
    }
    Py_DECREF(default_encoding);
    return 0;
bad:
    Py_XDECREF(default_encoding);
    Py_XDECREF(ascii_chars_u);
    Py_XDECREF(ascii_chars_b);
    return -1;
}
#endif
#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT && PY_MAJOR_VERSION >= 3
#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeUTF8(c_str, size, NULL)
#else
#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_Decode(c_str, size, __PYX_DEFAULT_STRING_ENCODING, NULL)
#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
static char* __PYX_DEFAULT_STRING_ENCODING;
static int __Pyx_init_sys_getdefaultencoding_params(void) {
    PyObject* sys;
    PyObject* default_encoding = NULL;
    char* default_encoding_c;
    sys = PyImport_ImportModule("sys");
    if (!sys) goto bad;
    default_encoding = PyObject_CallMethod(sys, (char*) (const char*) "getdefaultencoding", NULL);
    Py_DECREF(sys);
    if (!default_encoding) goto bad;
    default_encoding_c = PyBytes_AsString(default_encoding);
    if (!default_encoding_c) goto bad;
    __PYX_DEFAULT_STRING_ENCODING = (char*) malloc(strlen(default_encoding_c));
    if (!__PYX_DEFAULT_STRING_ENCODING) goto bad;
    strcpy(__PYX_DEFAULT_STRING_ENCODING, default_encoding_c);
    Py_DECREF(default_encoding);
    return 0;
bad:
    Py_XDECREF(default_encoding);
    return -1;
}
#endif
#endif


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

static PyObject *__pyx_m;
static PyObject *__pyx_d;
static PyObject *__pyx_b;
static PyObject *__pyx_empty_tuple;
static PyObject *__pyx_empty_bytes;
static int __pyx_lineno;
static int __pyx_clineno = 0;
static const char * __pyx_cfilenm= __FILE__;
static const char *__pyx_filename;

#if !defined(CYTHON_CCOMPLEX)
  #if defined(__cplusplus)
    #define CYTHON_CCOMPLEX 1
  #elif defined(_Complex_I)
    #define CYTHON_CCOMPLEX 1
  #else
    #define CYTHON_CCOMPLEX 0
  #endif
#endif
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    #include <complex>
  #else
    #include <complex.h>
  #endif
#endif
#if CYTHON_CCOMPLEX && !defined(__cplusplus) && defined(__sun__) && defined(__GNUC__)
  #undef _Complex_I
  #define _Complex_I 1.0fj
#endif


static const char *__pyx_f[] = {
  "scipy/sparse/csgraph/_traversal.pyx",
  "__init__.pxd",
  "type.pxd",
  "scipy/sparse/csgraph/parameters.pxi",
};
#define IS_UNSIGNED(type) (((type) -1) > 0)
struct __Pyx_StructField_;
#define __PYX_BUF_FLAGS_PACKED_STRUCT (1 << 0)
typedef struct {
  const char* name;
  struct __Pyx_StructField_* fields;
  size_t size;
  size_t arraysize[8];
  int ndim;
  char typegroup;
  char is_unsigned;
  int flags;
} __Pyx_TypeInfo;
typedef struct __Pyx_StructField_ {
  __Pyx_TypeInfo* type;
  const char* name;
  size_t offset;
} __Pyx_StructField;
typedef struct {
  __Pyx_StructField* field;
  size_t parent_offset;
} __Pyx_BufFmt_StackElem;
typedef struct {
  __Pyx_StructField root;
  __Pyx_BufFmt_StackElem* head;
  size_t fmt_offset;
  size_t new_count, enc_count;
  size_t struct_alignment;
  int is_complex;
  char enc_type;
  char new_packmode;
  char enc_packmode;
  char is_valid_array;
} __Pyx_BufFmt_Context;


/* "../../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":725
 * # in Cython to enable them only on the right systems.
 * 
 * ctypedef npy_int8       int8_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t
 */
typedef npy_int8 __pyx_t_5numpy_int8_t;

/* "../../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":726
 * 
 * ctypedef npy_int8       int8_t
 * ctypedef npy_int16      int16_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int32      int32_t
 * ctypedef npy_int64      int64_t
 */
typedef npy_int16 __pyx_t_5numpy_int16_t;

/* "../../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":727
 * ctypedef npy_int8       int8_t
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int64      int64_t
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typedef npy_int32 __pyx_t_5numpy_int32_t;

/* "../../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":728
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t
 * ctypedef npy_int64      int64_t             # <<<<<<<<<<<<<<
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 * #ctypedef npy_int128     int128_t
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typedef npy_int64 __pyx_t_5numpy_int64_t;

/* "../../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":732
 * #ctypedef npy_int128     int128_t
 * 
 * ctypedef npy_uint8      uint8_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t
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typedef npy_uint8 __pyx_t_5numpy_uint8_t;

/* "../../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":733
 * 
 * ctypedef npy_uint8      uint8_t
 * ctypedef npy_uint16     uint16_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint32     uint32_t
 * ctypedef npy_uint64     uint64_t
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/* "../../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":734
 * ctypedef npy_uint8      uint8_t
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint64     uint64_t
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/* "../../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":735
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t
 * ctypedef npy_uint64     uint64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_uint96     uint96_t
 * #ctypedef npy_uint128    uint128_t
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typedef npy_uint64 __pyx_t_5numpy_uint64_t;

/* "../../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":739
 * #ctypedef npy_uint128    uint128_t
 * 
 * ctypedef npy_float32    float32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_float64    float64_t
 * #ctypedef npy_float80    float80_t
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typedef npy_float32 __pyx_t_5numpy_float32_t;

/* "../../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":740
 * 
 * ctypedef npy_float32    float32_t
 * ctypedef npy_float64    float64_t             # <<<<<<<<<<<<<<
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typedef npy_float64 __pyx_t_5numpy_float64_t;

/* "../../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":749
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typedef npy_long __pyx_t_5numpy_int_t;

/* "../../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":750
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/* "../../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":751
 * ctypedef npy_long       int_t
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/* "../../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":753
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/* "../../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":754
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/* "../../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":755
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/* "../../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":757
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/* "../../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":758
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/* "../../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":760
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/* "../../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":761
 * 
 * ctypedef npy_double     float_t
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typedef npy_double __pyx_t_5numpy_double_t;

/* "../../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":762
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/* "../../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":764
 * ctypedef npy_longdouble longdouble_t
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/* "../../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":765
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/* "../../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":766
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/* "../../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":768
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struct __pyx_opt_args_5scipy_6sparse_7csgraph_10_traversal_breadth_first_order;
struct __pyx_opt_args_5scipy_6sparse_7csgraph_10_traversal_depth_first_order;

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static int __Pyx_ParseOptionalKeywords(PyObject *kwds, PyObject **argnames[],\
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static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause);

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#define __Pyx_GetItemInt(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
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static char __pyx_k_ITYPE[] = "ITYPE";
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static char __pyx_k_lower[] = "lower";
static char __pyx_k_numpy[] = "numpy";
static char __pyx_k_range[] = "range";
static char __pyx_k_shape[] = "shape";
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static char __pyx_k_zeros[] = "zeros";
static char __pyx_k_import[] = "__import__";
static char __pyx_k_indptr[] = "indptr";
static char __pyx_k_labels[] = "labels";
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static char __pyx_k_float64[] = "float64";
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static char __pyx_k_Routines_for_traversing_graphs[] = "\nRoutines for traversing graphs in compressed sparse format\n";
static char __pyx_k_breadth_first_tree_csgraph_i_st[] = "\n    breadth_first_tree(csgraph, i_start, directed=True)\n\n    Return the tree generated by a breadth-first search\n\n    Note that a breadth-first tree from a specified node is unique.\n\n    .. versionadded:: 0.11.0\n\n    Parameters\n    ----------\n    csgraph : array_like or sparse matrix\n        The N x N matrix representing the compressed sparse graph.  The input\n        csgraph will be converted to csr format for the calculation.\n    i_start : int\n        The index of starting node.\n    directed : bool, optional\n        If True (default), then operate on a directed graph: only\n        move from point i to point j along paths csgraph[i, j].\n        If False, then find the shortest path on an undirected graph: the\n        algorithm can progress from point i to j along csgraph[i, j] or\n        csgraph[j, i].\n\n    Returns\n    -------\n    cstree : csr matrix\n        The N x N directed compressed-sparse representation of the breadth-\n        first tree drawn from csgraph, starting at the specified node.\n\n    Examples\n    --------\n    The following example shows the computation of a depth-first tree\n    over a simple four-component graph, starting at node 0::\n\n         input graph          breadth first tree from (0)\n\n             (0)                         (0)\n            /   \\                       /   \\\n           3     8                     3     8\n          /       \\                   /       \\\n        (3)---5---(1)               (3)       (1)\n          \\       /                           /\n           6     2                           2\n            \\   /                           /\n             (2)                         (2)\n\n    In compressed sparse representation, the solution looks like this:\n\n    >>> from scipy.sparse import csr_matrix\n    >>> from scipy.sparse.csgraph import breadth_first_tree\n    >>> X = csr_matrix([[0, 8, 0, 3],\n    ...                 [0, 0, 2, 5],\n    ...                 [0, 0, 0, 6],""\n    ...                 [0, 0, 0, 0]])\n    >>> Tcsr = breadth_first_tree(X, 0, directed=False)\n    >>> Tcsr.toarray().astype(int)\n    array([[0, 8, 0, 3],\n           [0, 0, 2, 0],\n           [0, 0, 0, 0],\n           [0, 0, 0, 0]])\n\n    Note that the resulting graph is a Directed Acyclic Graph which spans\n    the graph.  A breadth-first tree from a given node is unique.\n    ";
static char __pyx_k_depth_first_tree_csgraph_i_star[] = "\n    depth_first_tree(csgraph, i_start, directed=True)\n\n    Return a tree generated by a depth-first search.\n\n    Note that a tree generated by a depth-first search is not unique:\n    it depends on the order that the children of each node are searched.\n\n    .. versionadded:: 0.11.0\n\n    Parameters\n    ----------\n    csgraph : array_like or sparse matrix\n        The N x N matrix representing the compressed sparse graph.  The input\n        csgraph will be converted to csr format for the calculation.\n    i_start : int\n        The index of starting node.\n    directed : bool, optional\n        If True (default), then operate on a directed graph: only\n        move from point i to point j along paths csgraph[i, j].\n        If False, then find the shortest path on an undirected graph: the\n        algorithm can progress from point i to j along csgraph[i, j] or\n        csgraph[j, i].\n\n    Returns\n    -------\n    cstree : csr matrix\n        The N x N directed compressed-sparse representation of the depth-\n        first tree drawn from csgraph, starting at the specified node.\n\n    Examples\n    --------\n    The following example shows the computation of a depth-first tree\n    over a simple four-component graph, starting at node 0::\n\n         input graph           depth first tree from (0)\n\n             (0)                         (0)\n            /   \\                           \\\n           3     8                           8\n          /       \\                           \\\n        (3)---5---(1)               (3)       (1)\n          \\       /                   \\       /\n           6     2                     6     2\n            \\   /                       \\   /\n             (2)                         (2)\n\n    In compressed sparse representation, the solution looks like this:\n\n    >>> from scipy.sparse import csr_matrix\n    >>> from scipy.sparse.csgraph import depth_first_tree\n    >>> X = csr_matrix([[0, 8, 0, 3],\n    ... ""                [0, 0, 2, 5],\n    ...                 [0, 0, 0, 6],\n    ...                 [0, 0, 0, 0]])\n    >>> Tcsr = depth_first_tree(X, 0, directed=False)\n    >>> Tcsr.toarray().astype(int)\n    array([[0, 8, 0, 0],\n           [0, 0, 2, 0],\n           [0, 0, 0, 6],\n           [0, 0, 0, 0]])\n\n    Note that the resulting graph is a Directed Acyclic Graph which spans\n    the graph.  Unlike a breadth-first tree, a depth-first tree of a given\n    graph is not unique if the graph contains cycles.  If the above solution\n    had begun with the edge connecting nodes 0 and 3, the result would have\n    been different.\n    ";
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static char __pyx_k_scipy_sparse_csgraph__traversal[] = "scipy.sparse.csgraph._traversal";
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static char __pyx_k_Format_string_allocated_too_shor[] = "Format string allocated too short, see comment in numpy.pxd";
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static PyObject *__pyx_n_s_csr_matrix;
static PyObject *__pyx_n_s_dense_output;
static PyObject *__pyx_n_s_depth_first_tree;
static PyObject *__pyx_kp_u_depth_first_tree_csgraph_i_star;
static PyObject *__pyx_kp_u_depth_first_tree_line_165;
static PyObject *__pyx_n_s_directed;
static PyObject *__pyx_n_s_dtype;
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static PyObject *__pyx_kp_u_ndarray_is_not_Fortran_contiguou;
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static PyObject *__pyx_n_s_return_labels;
static PyObject *__pyx_n_s_return_predecessors;
static PyObject *__pyx_n_s_scipy_sparse;
static PyObject *__pyx_n_s_scipy_sparse_csgraph__tools;
static PyObject *__pyx_n_s_scipy_sparse_csgraph__traversal;
static PyObject *__pyx_n_s_scipy_sparse_csgraph__validation;
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/* "scipy/sparse/csgraph/_traversal.pyx":95
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  {
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  {
    __Pyx_BufFmt_StackElem __pyx_stack[1];
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  __pyx_pybuffernd_node_list.diminfo[0].strides = __pyx_pybuffernd_node_list.rcbuffer->pybuffer.strides[0]; __pyx_pybuffernd_node_list.diminfo[0].shape = __pyx_pybuffernd_node_list.rcbuffer->pybuffer.shape[0];
  {
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  /* "scipy/sparse/csgraph/_traversal.pyx":366
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 *     node_list[0] = head_node
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  /* "scipy/sparse/csgraph/_traversal.pyx":368
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 *     node_list[0] = head_node             # <<<<<<<<<<<<<<
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    __pyx_t_1 += __pyx_pybuffernd_node_list.diminfo[0].shape;
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    __Pyx_RaiseBufferIndexError(__pyx_t_2);
    {__pyx_filename = __pyx_f[0]; __pyx_lineno = 368; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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  *__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_10_traversal_ITYPE_t *, __pyx_pybuffernd_node_list.rcbuffer->pybuffer.buf, __pyx_t_1, __pyx_pybuffernd_node_list.diminfo[0].strides) = __pyx_v_head_node;

  /* "scipy/sparse/csgraph/_traversal.pyx":369
 * 
 *     node_list[0] = head_node
 *     i_nl = 0             # <<<<<<<<<<<<<<
 *     i_nl_end = 1
 * 
 */
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  /* "scipy/sparse/csgraph/_traversal.pyx":370
 *     node_list[0] = head_node
 *     i_nl = 0
 *     i_nl_end = 1             # <<<<<<<<<<<<<<
 * 
 *     while i_nl < i_nl_end:
 */
  __pyx_v_i_nl_end = 1;

  /* "scipy/sparse/csgraph/_traversal.pyx":372
 *     i_nl_end = 1
 * 
 *     while i_nl < i_nl_end:             # <<<<<<<<<<<<<<
 *         pnode = node_list[i_nl]
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 */
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    __pyx_t_3 = ((__pyx_v_i_nl < __pyx_v_i_nl_end) != 0);
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    /* "scipy/sparse/csgraph/_traversal.pyx":373
 * 
 *     while i_nl < i_nl_end:
 *         pnode = node_list[i_nl]             # <<<<<<<<<<<<<<
 * 
 *         for i in range(indptr1[pnode], indptr1[pnode + 1]):
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    __pyx_t_4 = __pyx_v_i_nl;
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      __Pyx_RaiseBufferIndexError(__pyx_t_2);
      {__pyx_filename = __pyx_f[0]; __pyx_lineno = 373; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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    __pyx_v_pnode = (*__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_10_traversal_ITYPE_t *, __pyx_pybuffernd_node_list.rcbuffer->pybuffer.buf, __pyx_t_4, __pyx_pybuffernd_node_list.diminfo[0].strides));

    /* "scipy/sparse/csgraph/_traversal.pyx":375
 *         pnode = node_list[i_nl]
 * 
 *         for i in range(indptr1[pnode], indptr1[pnode + 1]):             # <<<<<<<<<<<<<<
 *             cnode = indices1[i]
 *             if (cnode == head_node):
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    __pyx_t_5 = (__pyx_v_pnode + 1);
    __pyx_t_2 = -1;
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    if (unlikely(__pyx_t_2 != -1)) {
      __Pyx_RaiseBufferIndexError(__pyx_t_2);
      {__pyx_filename = __pyx_f[0]; __pyx_lineno = 375; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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    __pyx_t_6 = (*__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_10_traversal_ITYPE_t *, __pyx_pybuffernd_indptr1.rcbuffer->pybuffer.buf, __pyx_t_5, __pyx_pybuffernd_indptr1.diminfo[0].strides));
    __pyx_t_7 = __pyx_v_pnode;
    __pyx_t_2 = -1;
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    if (unlikely(__pyx_t_2 != -1)) {
      __Pyx_RaiseBufferIndexError(__pyx_t_2);
      {__pyx_filename = __pyx_f[0]; __pyx_lineno = 375; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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    for (__pyx_t_8 = (*__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_10_traversal_ITYPE_t *, __pyx_pybuffernd_indptr1.rcbuffer->pybuffer.buf, __pyx_t_7, __pyx_pybuffernd_indptr1.diminfo[0].strides)); __pyx_t_8 < __pyx_t_6; __pyx_t_8+=1) {
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      /* "scipy/sparse/csgraph/_traversal.pyx":376
 * 
 *         for i in range(indptr1[pnode], indptr1[pnode + 1]):
 *             cnode = indices1[i]             # <<<<<<<<<<<<<<
 *             if (cnode == head_node):
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      __pyx_t_9 = __pyx_v_i;
      __pyx_t_2 = -1;
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      if (unlikely(__pyx_t_2 != -1)) {
        __Pyx_RaiseBufferIndexError(__pyx_t_2);
        {__pyx_filename = __pyx_f[0]; __pyx_lineno = 376; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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      __pyx_v_cnode = (*__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_10_traversal_ITYPE_t *, __pyx_pybuffernd_indices1.rcbuffer->pybuffer.buf, __pyx_t_9, __pyx_pybuffernd_indices1.diminfo[0].strides));

      /* "scipy/sparse/csgraph/_traversal.pyx":377
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 *             if (cnode == head_node):             # <<<<<<<<<<<<<<
 *                 continue
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      __pyx_t_3 = ((__pyx_v_cnode == __pyx_v_head_node) != 0);
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        /* "scipy/sparse/csgraph/_traversal.pyx":378
 *             cnode = indices1[i]
 *             if (cnode == head_node):
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 *             elif (predecessors[cnode] == NULL_IDX):
 *                 node_list[i_nl_end] = cnode
 */
        goto __pyx_L5_continue;

        /* "scipy/sparse/csgraph/_traversal.pyx":377
 *         for i in range(indptr1[pnode], indptr1[pnode + 1]):
 *             cnode = indices1[i]
 *             if (cnode == head_node):             # <<<<<<<<<<<<<<
 *                 continue
 *             elif (predecessors[cnode] == NULL_IDX):
 */
      }

      /* "scipy/sparse/csgraph/_traversal.pyx":379
 *             if (cnode == head_node):
 *                 continue
 *             elif (predecessors[cnode] == NULL_IDX):             # <<<<<<<<<<<<<<
 *                 node_list[i_nl_end] = cnode
 *                 predecessors[cnode] = pnode
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      __pyx_t_10 = __pyx_v_cnode;
      __pyx_t_2 = -1;
      if (unlikely(__pyx_t_10 >= (size_t)__pyx_pybuffernd_predecessors.diminfo[0].shape)) __pyx_t_2 = 0;
      if (unlikely(__pyx_t_2 != -1)) {
        __Pyx_RaiseBufferIndexError(__pyx_t_2);
        {__pyx_filename = __pyx_f[0]; __pyx_lineno = 379; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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      __pyx_t_3 = (((*__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_10_traversal_ITYPE_t *, __pyx_pybuffernd_predecessors.rcbuffer->pybuffer.buf, __pyx_t_10, __pyx_pybuffernd_predecessors.diminfo[0].strides)) == -9999L) != 0);
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        /* "scipy/sparse/csgraph/_traversal.pyx":380
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 *             elif (predecessors[cnode] == NULL_IDX):
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 *                 predecessors[cnode] = pnode
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        __pyx_t_11 = __pyx_v_i_nl_end;
        __pyx_t_2 = -1;
        if (unlikely(__pyx_t_11 >= (size_t)__pyx_pybuffernd_node_list.diminfo[0].shape)) __pyx_t_2 = 0;
        if (unlikely(__pyx_t_2 != -1)) {
          __Pyx_RaiseBufferIndexError(__pyx_t_2);
          {__pyx_filename = __pyx_f[0]; __pyx_lineno = 380; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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        *__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_10_traversal_ITYPE_t *, __pyx_pybuffernd_node_list.rcbuffer->pybuffer.buf, __pyx_t_11, __pyx_pybuffernd_node_list.diminfo[0].strides) = __pyx_v_cnode;

        /* "scipy/sparse/csgraph/_traversal.pyx":381
 *             elif (predecessors[cnode] == NULL_IDX):
 *                 node_list[i_nl_end] = cnode
 *                 predecessors[cnode] = pnode             # <<<<<<<<<<<<<<
 *                 i_nl_end += 1
 * 
 */
        __pyx_t_12 = __pyx_v_cnode;
        __pyx_t_2 = -1;
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        if (unlikely(__pyx_t_2 != -1)) {
          __Pyx_RaiseBufferIndexError(__pyx_t_2);
          {__pyx_filename = __pyx_f[0]; __pyx_lineno = 381; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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        *__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_10_traversal_ITYPE_t *, __pyx_pybuffernd_predecessors.rcbuffer->pybuffer.buf, __pyx_t_12, __pyx_pybuffernd_predecessors.diminfo[0].strides) = __pyx_v_pnode;

        /* "scipy/sparse/csgraph/_traversal.pyx":382
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 *                 predecessors[cnode] = pnode
 *                 i_nl_end += 1             # <<<<<<<<<<<<<<
 * 
 *         for i in range(indptr2[pnode], indptr2[pnode + 1]):
 */
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        /* "scipy/sparse/csgraph/_traversal.pyx":379
 *             if (cnode == head_node):
 *                 continue
 *             elif (predecessors[cnode] == NULL_IDX):             # <<<<<<<<<<<<<<
 *                 node_list[i_nl_end] = cnode
 *                 predecessors[cnode] = pnode
 */
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    /* "scipy/sparse/csgraph/_traversal.pyx":384
 *                 i_nl_end += 1
 * 
 *         for i in range(indptr2[pnode], indptr2[pnode + 1]):             # <<<<<<<<<<<<<<
 *             cnode = indices2[i]
 *             if (cnode == head_node):
 */
    __pyx_t_13 = (__pyx_v_pnode + 1);
    __pyx_t_2 = -1;
    if (__pyx_t_13 < 0) {
      __pyx_t_13 += __pyx_pybuffernd_indptr2.diminfo[0].shape;
      if (unlikely(__pyx_t_13 < 0)) __pyx_t_2 = 0;
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    if (unlikely(__pyx_t_2 != -1)) {
      __Pyx_RaiseBufferIndexError(__pyx_t_2);
      {__pyx_filename = __pyx_f[0]; __pyx_lineno = 384; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    }
    __pyx_t_6 = (*__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_10_traversal_ITYPE_t *, __pyx_pybuffernd_indptr2.rcbuffer->pybuffer.buf, __pyx_t_13, __pyx_pybuffernd_indptr2.diminfo[0].strides));
    __pyx_t_14 = __pyx_v_pnode;
    __pyx_t_2 = -1;
    if (unlikely(__pyx_t_14 >= (size_t)__pyx_pybuffernd_indptr2.diminfo[0].shape)) __pyx_t_2 = 0;
    if (unlikely(__pyx_t_2 != -1)) {
      __Pyx_RaiseBufferIndexError(__pyx_t_2);
      {__pyx_filename = __pyx_f[0]; __pyx_lineno = 384; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    }
    for (__pyx_t_8 = (*__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_10_traversal_ITYPE_t *, __pyx_pybuffernd_indptr2.rcbuffer->pybuffer.buf, __pyx_t_14, __pyx_pybuffernd_indptr2.diminfo[0].strides)); __pyx_t_8 < __pyx_t_6; __pyx_t_8+=1) {
      __pyx_v_i = __pyx_t_8;

      /* "scipy/sparse/csgraph/_traversal.pyx":385
 * 
 *         for i in range(indptr2[pnode], indptr2[pnode + 1]):
 *             cnode = indices2[i]             # <<<<<<<<<<<<<<
 *             if (cnode == head_node):
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 */
      __pyx_t_15 = __pyx_v_i;
      __pyx_t_2 = -1;
      if (unlikely(__pyx_t_15 >= (size_t)__pyx_pybuffernd_indices2.diminfo[0].shape)) __pyx_t_2 = 0;
      if (unlikely(__pyx_t_2 != -1)) {
        __Pyx_RaiseBufferIndexError(__pyx_t_2);
        {__pyx_filename = __pyx_f[0]; __pyx_lineno = 385; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      }
      __pyx_v_cnode = (*__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_10_traversal_ITYPE_t *, __pyx_pybuffernd_indices2.rcbuffer->pybuffer.buf, __pyx_t_15, __pyx_pybuffernd_indices2.diminfo[0].strides));

      /* "scipy/sparse/csgraph/_traversal.pyx":386
 *         for i in range(indptr2[pnode], indptr2[pnode + 1]):
 *             cnode = indices2[i]
 *             if (cnode == head_node):             # <<<<<<<<<<<<<<
 *                 continue
 *             elif (predecessors[cnode] == NULL_IDX):
 */
      __pyx_t_3 = ((__pyx_v_cnode == __pyx_v_head_node) != 0);
      if (__pyx_t_3) {

        /* "scipy/sparse/csgraph/_traversal.pyx":387
 *             cnode = indices2[i]
 *             if (cnode == head_node):
 *                 continue             # <<<<<<<<<<<<<<
 *             elif (predecessors[cnode] == NULL_IDX):
 *                 node_list[i_nl_end] = cnode
 */
        goto __pyx_L8_continue;

        /* "scipy/sparse/csgraph/_traversal.pyx":386
 *         for i in range(indptr2[pnode], indptr2[pnode + 1]):
 *             cnode = indices2[i]
 *             if (cnode == head_node):             # <<<<<<<<<<<<<<
 *                 continue
 *             elif (predecessors[cnode] == NULL_IDX):
 */
      }

      /* "scipy/sparse/csgraph/_traversal.pyx":388
 *             if (cnode == head_node):
 *                 continue
 *             elif (predecessors[cnode] == NULL_IDX):             # <<<<<<<<<<<<<<
 *                 node_list[i_nl_end] = cnode
 *                 predecessors[cnode] = pnode
 */
      __pyx_t_16 = __pyx_v_cnode;
      __pyx_t_2 = -1;
      if (unlikely(__pyx_t_16 >= (size_t)__pyx_pybuffernd_predecessors.diminfo[0].shape)) __pyx_t_2 = 0;
      if (unlikely(__pyx_t_2 != -1)) {
        __Pyx_RaiseBufferIndexError(__pyx_t_2);
        {__pyx_filename = __pyx_f[0]; __pyx_lineno = 388; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      }
      __pyx_t_3 = (((*__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_10_traversal_ITYPE_t *, __pyx_pybuffernd_predecessors.rcbuffer->pybuffer.buf, __pyx_t_16, __pyx_pybuffernd_predecessors.diminfo[0].strides)) == -9999L) != 0);
      if (__pyx_t_3) {

        /* "scipy/sparse/csgraph/_traversal.pyx":389
 *                 continue
 *             elif (predecessors[cnode] == NULL_IDX):
 *                 node_list[i_nl_end] = cnode             # <<<<<<<<<<<<<<
 *                 predecessors[cnode] = pnode
 *                 i_nl_end += 1
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        __pyx_t_17 = __pyx_v_i_nl_end;
        __pyx_t_2 = -1;
        if (unlikely(__pyx_t_17 >= (size_t)__pyx_pybuffernd_node_list.diminfo[0].shape)) __pyx_t_2 = 0;
        if (unlikely(__pyx_t_2 != -1)) {
          __Pyx_RaiseBufferIndexError(__pyx_t_2);
          {__pyx_filename = __pyx_f[0]; __pyx_lineno = 389; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
        }
        *__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_10_traversal_ITYPE_t *, __pyx_pybuffernd_node_list.rcbuffer->pybuffer.buf, __pyx_t_17, __pyx_pybuffernd_node_list.diminfo[0].strides) = __pyx_v_cnode;

        /* "scipy/sparse/csgraph/_traversal.pyx":390
 *             elif (predecessors[cnode] == NULL_IDX):
 *                 node_list[i_nl_end] = cnode
 *                 predecessors[cnode] = pnode             # <<<<<<<<<<<<<<
 *                 i_nl_end += 1
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 */
        __pyx_t_18 = __pyx_v_cnode;
        __pyx_t_2 = -1;
        if (unlikely(__pyx_t_18 >= (size_t)__pyx_pybuffernd_predecessors.diminfo[0].shape)) __pyx_t_2 = 0;
        if (unlikely(__pyx_t_2 != -1)) {
          __Pyx_RaiseBufferIndexError(__pyx_t_2);
          {__pyx_filename = __pyx_f[0]; __pyx_lineno = 390; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
        }
        *__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_10_traversal_ITYPE_t *, __pyx_pybuffernd_predecessors.rcbuffer->pybuffer.buf, __pyx_t_18, __pyx_pybuffernd_predecessors.diminfo[0].strides) = __pyx_v_pnode;

        /* "scipy/sparse/csgraph/_traversal.pyx":391
 *                 node_list[i_nl_end] = cnode
 *                 predecessors[cnode] = pnode
 *                 i_nl_end += 1             # <<<<<<<<<<<<<<
 * 
 *         i_nl += 1
 */
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  {
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 *     node_list[0] = head_node             # <<<<<<<<<<<<<<
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    __Pyx_RaiseBufferIndexError(__pyx_t_2);
    {__pyx_filename = __pyx_f[0]; __pyx_lineno = 528; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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  *__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_10_traversal_ITYPE_t *, __pyx_pybuffernd_node_list.rcbuffer->pybuffer.buf, __pyx_t_1, __pyx_pybuffernd_node_list.diminfo[0].strides) = __pyx_v_head_node;

  /* "scipy/sparse/csgraph/_traversal.pyx":529
 * 
 *     node_list[0] = head_node
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  __pyx_t_3 = 0;
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    __Pyx_RaiseBufferIndexError(__pyx_t_2);
    {__pyx_filename = __pyx_f[0]; __pyx_lineno = 529; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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  *__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_10_traversal_ITYPE_t *, __pyx_pybuffernd_root_list.rcbuffer->pybuffer.buf, __pyx_t_3, __pyx_pybuffernd_root_list.diminfo[0].strides) = __pyx_v_head_node;

  /* "scipy/sparse/csgraph/_traversal.pyx":530
 *     node_list[0] = head_node
 *     root_list[0] = head_node
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 *     i_nl_end = 1
 *     flag[head_node] = 1
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  /* "scipy/sparse/csgraph/_traversal.pyx":531
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 *     i_root = 0
 *     i_nl_end = 1             # <<<<<<<<<<<<<<
 *     flag[head_node] = 1
 * 
 */
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  /* "scipy/sparse/csgraph/_traversal.pyx":532
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 * 
 *     while i_root >= 0:
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  __pyx_t_4 = __pyx_v_head_node;
  __pyx_t_2 = -1;
  if (unlikely(__pyx_t_4 >= (size_t)__pyx_pybuffernd_flag.diminfo[0].shape)) __pyx_t_2 = 0;
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    __Pyx_RaiseBufferIndexError(__pyx_t_2);
    {__pyx_filename = __pyx_f[0]; __pyx_lineno = 532; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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  *__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_10_traversal_ITYPE_t *, __pyx_pybuffernd_flag.rcbuffer->pybuffer.buf, __pyx_t_4, __pyx_pybuffernd_flag.diminfo[0].strides) = 1;

  /* "scipy/sparse/csgraph/_traversal.pyx":534
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 * 
 *     while i_root >= 0:             # <<<<<<<<<<<<<<
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    /* "scipy/sparse/csgraph/_traversal.pyx":535
 * 
 *     while i_root >= 0:
 *         pnode = root_list[i_root]             # <<<<<<<<<<<<<<
 *         no_children = True
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 */
    __pyx_t_6 = __pyx_v_i_root;
    __pyx_t_2 = -1;
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    if (unlikely(__pyx_t_2 != -1)) {
      __Pyx_RaiseBufferIndexError(__pyx_t_2);
      {__pyx_filename = __pyx_f[0]; __pyx_lineno = 535; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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    __pyx_v_pnode = (*__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_10_traversal_ITYPE_t *, __pyx_pybuffernd_root_list.rcbuffer->pybuffer.buf, __pyx_t_6, __pyx_pybuffernd_root_list.diminfo[0].strides));

    /* "scipy/sparse/csgraph/_traversal.pyx":536
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 * 
 *         for i in range(indptr1[pnode], indptr1[pnode + 1]):
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    /* "scipy/sparse/csgraph/_traversal.pyx":538
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 * 
 *         for i in range(indptr1[pnode], indptr1[pnode + 1]):             # <<<<<<<<<<<<<<
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      __Pyx_RaiseBufferIndexError(__pyx_t_2);
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    __pyx_t_8 = (*__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_10_traversal_ITYPE_t *, __pyx_pybuffernd_indptr1.rcbuffer->pybuffer.buf, __pyx_t_7, __pyx_pybuffernd_indptr1.diminfo[0].strides));
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    for (__pyx_t_10 = (*__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_10_traversal_ITYPE_t *, __pyx_pybuffernd_indptr1.rcbuffer->pybuffer.buf, __pyx_t_9, __pyx_pybuffernd_indptr1.diminfo[0].strides)); __pyx_t_10 < __pyx_t_8; __pyx_t_10+=1) {
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      /* "scipy/sparse/csgraph/_traversal.pyx":539
 * 
 *         for i in range(indptr1[pnode], indptr1[pnode + 1]):
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        __Pyx_RaiseBufferIndexError(__pyx_t_2);
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      /* "scipy/sparse/csgraph/_traversal.pyx":540
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        __Pyx_RaiseBufferIndexError(__pyx_t_2);
        {__pyx_filename = __pyx_f[0]; __pyx_lineno = 540; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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      __pyx_t_5 = ((*__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_10_traversal_ITYPE_t *, __pyx_pybuffernd_flag.rcbuffer->pybuffer.buf, __pyx_t_12, __pyx_pybuffernd_flag.diminfo[0].strides)) != 0);
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        /* "scipy/sparse/csgraph/_traversal.pyx":541
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        /* "scipy/sparse/csgraph/_traversal.pyx":540
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      /* "scipy/sparse/csgraph/_traversal.pyx":543
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        /* "scipy/sparse/csgraph/_traversal.pyx":544
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 *                 root_list[i_root] = cnode             # <<<<<<<<<<<<<<
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          __Pyx_RaiseBufferIndexError(__pyx_t_2);
          {__pyx_filename = __pyx_f[0]; __pyx_lineno = 544; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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        *__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_10_traversal_ITYPE_t *, __pyx_pybuffernd_root_list.rcbuffer->pybuffer.buf, __pyx_t_13, __pyx_pybuffernd_root_list.diminfo[0].strides) = __pyx_v_cnode;

        /* "scipy/sparse/csgraph/_traversal.pyx":545
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          {__pyx_filename = __pyx_f[0]; __pyx_lineno = 545; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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        *__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_10_traversal_ITYPE_t *, __pyx_pybuffernd_node_list.rcbuffer->pybuffer.buf, __pyx_t_14, __pyx_pybuffernd_node_list.diminfo[0].strides) = __pyx_v_cnode;

        /* "scipy/sparse/csgraph/_traversal.pyx":546
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 *                 predecessors[cnode] = pnode             # <<<<<<<<<<<<<<
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          __Pyx_RaiseBufferIndexError(__pyx_t_2);
          {__pyx_filename = __pyx_f[0]; __pyx_lineno = 546; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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        *__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_10_traversal_ITYPE_t *, __pyx_pybuffernd_predecessors.rcbuffer->pybuffer.buf, __pyx_t_15, __pyx_pybuffernd_predecessors.diminfo[0].strides) = __pyx_v_pnode;

        /* "scipy/sparse/csgraph/_traversal.pyx":547
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 *                 predecessors[cnode] = pnode
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 */
        __pyx_t_16 = __pyx_v_cnode;
        __pyx_t_2 = -1;
        if (unlikely(__pyx_t_16 >= (size_t)__pyx_pybuffernd_flag.diminfo[0].shape)) __pyx_t_2 = 0;
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          __Pyx_RaiseBufferIndexError(__pyx_t_2);
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        *__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_10_traversal_ITYPE_t *, __pyx_pybuffernd_flag.rcbuffer->pybuffer.buf, __pyx_t_16, __pyx_pybuffernd_flag.diminfo[0].strides) = 1;

        /* "scipy/sparse/csgraph/_traversal.pyx":548
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 *                 no_children = False
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        /* "scipy/sparse/csgraph/_traversal.pyx":549
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 * 
 */
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        /* "scipy/sparse/csgraph/_traversal.pyx":550
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 *         if no_children:
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 * 
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      /* "scipy/sparse/csgraph/_traversal.pyx":553
 * 
 *         if no_children:
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        __Pyx_RaiseBufferIndexError(__pyx_t_2);
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      __pyx_t_8 = (*__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_10_traversal_ITYPE_t *, __pyx_pybuffernd_indptr2.rcbuffer->pybuffer.buf, __pyx_t_17, __pyx_pybuffernd_indptr2.diminfo[0].strides));
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        {__pyx_filename = __pyx_f[0]; __pyx_lineno = 553; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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      for (__pyx_t_10 = (*__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_10_traversal_ITYPE_t *, __pyx_pybuffernd_indptr2.rcbuffer->pybuffer.buf, __pyx_t_18, __pyx_pybuffernd_indptr2.diminfo[0].strides)); __pyx_t_10 < __pyx_t_8; __pyx_t_10+=1) {
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        /* "scipy/sparse/csgraph/_traversal.pyx":554
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        /* "scipy/sparse/csgraph/_traversal.pyx":555
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        __pyx_t_11 = (((*__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_10_traversal_ITYPE_t *, __pyx_pybuffernd_lowlinks.rcbuffer->pybuffer.buf, __pyx_t_14, __pyx_pybuffernd_lowlinks.diminfo[0].strides)) == -1L) != 0);
        if (__pyx_t_11) {

          /* "scipy/sparse/csgraph/_traversal.pyx":635
 *                 v = stack_head
 *                 if lowlinks[v] == VOID:
 *                     lowlinks[v] = index             # <<<<<<<<<<<<<<
 *                     index += 1
 * 
 */
          __pyx_t_15 = __pyx_v_v;
          __pyx_t_10 = -1;
          if (__pyx_t_15 < 0) {
            __pyx_t_15 += __pyx_pybuffernd_lowlinks.diminfo[0].shape;
            if (unlikely(__pyx_t_15 < 0)) __pyx_t_10 = 0;
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          if (unlikely(__pyx_t_10 != -1)) {
            __Pyx_RaiseBufferIndexError(__pyx_t_10);
            {__pyx_filename = __pyx_f[0]; __pyx_lineno = 635; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
          }
          *__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_10_traversal_ITYPE_t *, __pyx_pybuffernd_lowlinks.rcbuffer->pybuffer.buf, __pyx_t_15, __pyx_pybuffernd_lowlinks.diminfo[0].strides) = __pyx_v_index;

          /* "scipy/sparse/csgraph/_traversal.pyx":636
 *                 if lowlinks[v] == VOID:
 *                     lowlinks[v] = index
 *                     index += 1             # <<<<<<<<<<<<<<
 * 
 *                     # Add successor nodes
 */
          __pyx_v_index = (__pyx_v_index + 1);

          /* "scipy/sparse/csgraph/_traversal.pyx":639
 * 
 *                     # Add successor nodes
 *                     for j in range(indptr[v], indptr[v+1]):             # <<<<<<<<<<<<<<
 *                         w = indices[j]
 *                         if lowlinks[w] == VOID:
 */
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          __pyx_t_10 = -1;
          if (__pyx_t_16 < 0) {
            __pyx_t_16 += __pyx_pybuffernd_indptr.diminfo[0].shape;
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          if (unlikely(__pyx_t_10 != -1)) {
            __Pyx_RaiseBufferIndexError(__pyx_t_10);
            {__pyx_filename = __pyx_f[0]; __pyx_lineno = 639; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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          __pyx_t_17 = (*__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_10_traversal_ITYPE_t *, __pyx_pybuffernd_indptr.rcbuffer->pybuffer.buf, __pyx_t_16, __pyx_pybuffernd_indptr.diminfo[0].strides));
          __pyx_t_18 = __pyx_v_v;
          __pyx_t_10 = -1;
          if (__pyx_t_18 < 0) {
            __pyx_t_18 += __pyx_pybuffernd_indptr.diminfo[0].shape;
            if (unlikely(__pyx_t_18 < 0)) __pyx_t_10 = 0;
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          if (unlikely(__pyx_t_10 != -1)) {
            __Pyx_RaiseBufferIndexError(__pyx_t_10);
            {__pyx_filename = __pyx_f[0]; __pyx_lineno = 639; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
          }
          for (__pyx_t_10 = (*__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_10_traversal_ITYPE_t *, __pyx_pybuffernd_indptr.rcbuffer->pybuffer.buf, __pyx_t_18, __pyx_pybuffernd_indptr.diminfo[0].strides)); __pyx_t_10 < __pyx_t_17; __pyx_t_10+=1) {
            __pyx_v_j = __pyx_t_10;

            /* "scipy/sparse/csgraph/_traversal.pyx":640
 *                     # Add successor nodes
 *                     for j in range(indptr[v], indptr[v+1]):
 *                         w = indices[j]             # <<<<<<<<<<<<<<
 *                         if lowlinks[w] == VOID:
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            __pyx_t_19 = __pyx_v_j;
            __pyx_t_20 = -1;
            if (__pyx_t_19 < 0) {
              __pyx_t_19 += __pyx_pybuffernd_indices.diminfo[0].shape;
              if (unlikely(__pyx_t_19 < 0)) __pyx_t_20 = 0;
            } else if (unlikely(__pyx_t_19 >= __pyx_pybuffernd_indices.diminfo[0].shape)) __pyx_t_20 = 0;
            if (unlikely(__pyx_t_20 != -1)) {
              __Pyx_RaiseBufferIndexError(__pyx_t_20);
              {__pyx_filename = __pyx_f[0]; __pyx_lineno = 640; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
            }
            __pyx_v_w = (*__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_10_traversal_ITYPE_t *, __pyx_pybuffernd_indices.rcbuffer->pybuffer.buf, __pyx_t_19, __pyx_pybuffernd_indices.diminfo[0].strides));

            /* "scipy/sparse/csgraph/_traversal.pyx":641
 *                     for j in range(indptr[v], indptr[v+1]):
 *                         w = indices[j]
 *                         if lowlinks[w] == VOID:             # <<<<<<<<<<<<<<
 *                             with cython.boundscheck(False):
 *                                 # DFS-stack push
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            __pyx_t_21 = __pyx_v_w;
            __pyx_t_20 = -1;
            if (__pyx_t_21 < 0) {
              __pyx_t_21 += __pyx_pybuffernd_lowlinks.diminfo[0].shape;
              if (unlikely(__pyx_t_21 < 0)) __pyx_t_20 = 0;
            } else if (unlikely(__pyx_t_21 >= __pyx_pybuffernd_lowlinks.diminfo[0].shape)) __pyx_t_20 = 0;
            if (unlikely(__pyx_t_20 != -1)) {
              __Pyx_RaiseBufferIndexError(__pyx_t_20);
              {__pyx_filename = __pyx_f[0]; __pyx_lineno = 641; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
            }
            __pyx_t_11 = (((*__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_10_traversal_ITYPE_t *, __pyx_pybuffernd_lowlinks.rcbuffer->pybuffer.buf, __pyx_t_21, __pyx_pybuffernd_lowlinks.diminfo[0].strides)) == -1L) != 0);
            if (__pyx_t_11) {

              /* "scipy/sparse/csgraph/_traversal.pyx":644
 *                             with cython.boundscheck(False):
 *                                 # DFS-stack push
 *                                 if stack_f[w] != VOID:             # <<<<<<<<<<<<<<
 *                                     # w is already inside the stack,
 *                                     # so excise it.
 */
              __pyx_t_22 = __pyx_v_w;
              if (__pyx_t_22 < 0) __pyx_t_22 += __pyx_pybuffernd_stack_f.diminfo[0].shape;
              __pyx_t_11 = (((*__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_10_traversal_ITYPE_t *, __pyx_pybuffernd_stack_f.rcbuffer->pybuffer.buf, __pyx_t_22, __pyx_pybuffernd_stack_f.diminfo[0].strides)) != -1L) != 0);
              if (__pyx_t_11) {

                /* "scipy/sparse/csgraph/_traversal.pyx":647
 *                                     # w is already inside the stack,
 *                                     # so excise it.
 *                                     f = stack_f[w]             # <<<<<<<<<<<<<<
 *                                     b = stack_b[w]
 *                                     if b != END:
 */
                __pyx_t_23 = __pyx_v_w;
                if (__pyx_t_23 < 0) __pyx_t_23 += __pyx_pybuffernd_stack_f.diminfo[0].shape;
                __pyx_v_f = (*__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_10_traversal_ITYPE_t *, __pyx_pybuffernd_stack_f.rcbuffer->pybuffer.buf, __pyx_t_23, __pyx_pybuffernd_stack_f.diminfo[0].strides));

                /* "scipy/sparse/csgraph/_traversal.pyx":648
 *                                     # so excise it.
 *                                     f = stack_f[w]
 *                                     b = stack_b[w]             # <<<<<<<<<<<<<<
 *                                     if b != END:
 *                                         stack_f[b] = f
 */
                __pyx_t_24 = __pyx_v_w;
                if (__pyx_t_24 < 0) __pyx_t_24 += __pyx_pybuffernd_stack_b.diminfo[0].shape;
                __pyx_v_b = (*__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_10_traversal_ITYPE_t *, __pyx_pybuffernd_stack_b.rcbuffer->pybuffer.buf, __pyx_t_24, __pyx_pybuffernd_stack_b.diminfo[0].strides));

                /* "scipy/sparse/csgraph/_traversal.pyx":649
 *                                     f = stack_f[w]
 *                                     b = stack_b[w]
 *                                     if b != END:             # <<<<<<<<<<<<<<
 *                                         stack_f[b] = f
 *                                     if f != END:
 */
                __pyx_t_11 = ((__pyx_v_b != -2L) != 0);
                if (__pyx_t_11) {

                  /* "scipy/sparse/csgraph/_traversal.pyx":650
 *                                     b = stack_b[w]
 *                                     if b != END:
 *                                         stack_f[b] = f             # <<<<<<<<<<<<<<
 *                                     if f != END:
 *                                         stack_b[f] = b
 */
                  __pyx_t_25 = __pyx_v_b;
                  if (__pyx_t_25 < 0) __pyx_t_25 += __pyx_pybuffernd_stack_f.diminfo[0].shape;
                  *__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_10_traversal_ITYPE_t *, __pyx_pybuffernd_stack_f.rcbuffer->pybuffer.buf, __pyx_t_25, __pyx_pybuffernd_stack_f.diminfo[0].strides) = __pyx_v_f;

                  /* "scipy/sparse/csgraph/_traversal.pyx":649
 *                                     f = stack_f[w]
 *                                     b = stack_b[w]
 *                                     if b != END:             # <<<<<<<<<<<<<<
 *                                         stack_f[b] = f
 *                                     if f != END:
 */
                }

                /* "scipy/sparse/csgraph/_traversal.pyx":651
 *                                     if b != END:
 *                                         stack_f[b] = f
 *                                     if f != END:             # <<<<<<<<<<<<<<
 *                                         stack_b[f] = b
 * 
 */
                __pyx_t_11 = ((__pyx_v_f != -2L) != 0);
                if (__pyx_t_11) {

                  /* "scipy/sparse/csgraph/_traversal.pyx":652
 *                                         stack_f[b] = f
 *                                     if f != END:
 *                                         stack_b[f] = b             # <<<<<<<<<<<<<<
 * 
 *                                 stack_f[w] = stack_head
 */
                  __pyx_t_26 = __pyx_v_f;
                  if (__pyx_t_26 < 0) __pyx_t_26 += __pyx_pybuffernd_stack_b.diminfo[0].shape;
                  *__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_10_traversal_ITYPE_t *, __pyx_pybuffernd_stack_b.rcbuffer->pybuffer.buf, __pyx_t_26, __pyx_pybuffernd_stack_b.diminfo[0].strides) = __pyx_v_b;

                  /* "scipy/sparse/csgraph/_traversal.pyx":651
 *                                     if b != END:
 *                                         stack_f[b] = f
 *                                     if f != END:             # <<<<<<<<<<<<<<
 *                                         stack_b[f] = b
 * 
 */
                }

                /* "scipy/sparse/csgraph/_traversal.pyx":644
 *                             with cython.boundscheck(False):
 *                                 # DFS-stack push
 *                                 if stack_f[w] != VOID:             # <<<<<<<<<<<<<<
 *                                     # w is already inside the stack,
 *                                     # so excise it.
 */
              }

              /* "scipy/sparse/csgraph/_traversal.pyx":654
 *                                         stack_b[f] = b
 * 
 *                                 stack_f[w] = stack_head             # <<<<<<<<<<<<<<
 *                                 stack_b[w] = END
 *                                 stack_b[stack_head] = w
 */
              __pyx_t_27 = __pyx_v_w;
              if (__pyx_t_27 < 0) __pyx_t_27 += __pyx_pybuffernd_stack_f.diminfo[0].shape;
              *__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_10_traversal_ITYPE_t *, __pyx_pybuffernd_stack_f.rcbuffer->pybuffer.buf, __pyx_t_27, __pyx_pybuffernd_stack_f.diminfo[0].strides) = __pyx_v_stack_head;

              /* "scipy/sparse/csgraph/_traversal.pyx":655
 * 
 *                                 stack_f[w] = stack_head
 *                                 stack_b[w] = END             # <<<<<<<<<<<<<<
 *                                 stack_b[stack_head] = w
 *                                 stack_head = w
 */
              __pyx_t_28 = __pyx_v_w;
              if (__pyx_t_28 < 0) __pyx_t_28 += __pyx_pybuffernd_stack_b.diminfo[0].shape;
              *__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_10_traversal_ITYPE_t *, __pyx_pybuffernd_stack_b.rcbuffer->pybuffer.buf, __pyx_t_28, __pyx_pybuffernd_stack_b.diminfo[0].strides) = -2;

              /* "scipy/sparse/csgraph/_traversal.pyx":656
 *                                 stack_f[w] = stack_head
 *                                 stack_b[w] = END
 *                                 stack_b[stack_head] = w             # <<<<<<<<<<<<<<
 *                                 stack_head = w
 * 
 */
              __pyx_t_29 = __pyx_v_stack_head;
              if (__pyx_t_29 < 0) __pyx_t_29 += __pyx_pybuffernd_stack_b.diminfo[0].shape;
              *__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_10_traversal_ITYPE_t *, __pyx_pybuffernd_stack_b.rcbuffer->pybuffer.buf, __pyx_t_29, __pyx_pybuffernd_stack_b.diminfo[0].strides) = __pyx_v_w;

              /* "scipy/sparse/csgraph/_traversal.pyx":657
 *                                 stack_b[w] = END
 *                                 stack_b[stack_head] = w
 *                                 stack_head = w             # <<<<<<<<<<<<<<
 * 
 *                 else:
 */
              __pyx_v_stack_head = __pyx_v_w;

              /* "scipy/sparse/csgraph/_traversal.pyx":641
 *                     for j in range(indptr[v], indptr[v+1]):
 *                         w = indices[j]
 *                         if lowlinks[w] == VOID:             # <<<<<<<<<<<<<<
 *                             with cython.boundscheck(False):
 *                                 # DFS-stack push
 */
            }
          }

          /* "scipy/sparse/csgraph/_traversal.pyx":634
 *             while stack_head != END:
 *                 v = stack_head
 *                 if lowlinks[v] == VOID:             # <<<<<<<<<<<<<<
 *                     lowlinks[v] = index
 *                     index += 1
 */
          goto __pyx_L8;
        }

        /* "scipy/sparse/csgraph/_traversal.pyx":661
 *                 else:
 *                     # DFS-stack pop
 *                     stack_head = stack_f[v]             # <<<<<<<<<<<<<<
 *                     if stack_head >= 0:
 *                         stack_b[stack_head] = END
 */
        /*else*/ {
          __pyx_t_30 = __pyx_v_v;
          __pyx_t_10 = -1;
          if (__pyx_t_30 < 0) {
            __pyx_t_30 += __pyx_pybuffernd_stack_f.diminfo[0].shape;
            if (unlikely(__pyx_t_30 < 0)) __pyx_t_10 = 0;
          } else if (unlikely(__pyx_t_30 >= __pyx_pybuffernd_stack_f.diminfo[0].shape)) __pyx_t_10 = 0;
          if (unlikely(__pyx_t_10 != -1)) {
            __Pyx_RaiseBufferIndexError(__pyx_t_10);
            {__pyx_filename = __pyx_f[0]; __pyx_lineno = 661; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
          }
          __pyx_v_stack_head = (*__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_10_traversal_ITYPE_t *, __pyx_pybuffernd_stack_f.rcbuffer->pybuffer.buf, __pyx_t_30, __pyx_pybuffernd_stack_f.diminfo[0].strides));

          /* "scipy/sparse/csgraph/_traversal.pyx":662
 *                     # DFS-stack pop
 *                     stack_head = stack_f[v]
 *                     if stack_head >= 0:             # <<<<<<<<<<<<<<
 *                         stack_b[stack_head] = END
 *                     stack_f[v] = VOID
 */
          __pyx_t_11 = ((__pyx_v_stack_head >= 0) != 0);
          if (__pyx_t_11) {

            /* "scipy/sparse/csgraph/_traversal.pyx":663
 *                     stack_head = stack_f[v]
 *                     if stack_head >= 0:
 *                         stack_b[stack_head] = END             # <<<<<<<<<<<<<<
 *                     stack_f[v] = VOID
 *                     stack_b[v] = VOID
 */
            __pyx_t_31 = __pyx_v_stack_head;
            __pyx_t_10 = -1;
            if (__pyx_t_31 < 0) {
              __pyx_t_31 += __pyx_pybuffernd_stack_b.diminfo[0].shape;
              if (unlikely(__pyx_t_31 < 0)) __pyx_t_10 = 0;
            } else if (unlikely(__pyx_t_31 >= __pyx_pybuffernd_stack_b.diminfo[0].shape)) __pyx_t_10 = 0;
            if (unlikely(__pyx_t_10 != -1)) {
              __Pyx_RaiseBufferIndexError(__pyx_t_10);
              {__pyx_filename = __pyx_f[0]; __pyx_lineno = 663; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
            }
            *__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_10_traversal_ITYPE_t *, __pyx_pybuffernd_stack_b.rcbuffer->pybuffer.buf, __pyx_t_31, __pyx_pybuffernd_stack_b.diminfo[0].strides) = -2;

            /* "scipy/sparse/csgraph/_traversal.pyx":662
 *                     # DFS-stack pop
 *                     stack_head = stack_f[v]
 *                     if stack_head >= 0:             # <<<<<<<<<<<<<<
 *                         stack_b[stack_head] = END
 *                     stack_f[v] = VOID
 */
          }

          /* "scipy/sparse/csgraph/_traversal.pyx":664
 *                     if stack_head >= 0:
 *                         stack_b[stack_head] = END
 *                     stack_f[v] = VOID             # <<<<<<<<<<<<<<
 *                     stack_b[v] = VOID
 * 
 */
          __pyx_t_32 = __pyx_v_v;
          __pyx_t_10 = -1;
          if (__pyx_t_32 < 0) {
            __pyx_t_32 += __pyx_pybuffernd_stack_f.diminfo[0].shape;
            if (unlikely(__pyx_t_32 < 0)) __pyx_t_10 = 0;
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          if (unlikely(__pyx_t_10 != -1)) {
            __Pyx_RaiseBufferIndexError(__pyx_t_10);
            {__pyx_filename = __pyx_f[0]; __pyx_lineno = 664; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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          *__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_10_traversal_ITYPE_t *, __pyx_pybuffernd_stack_f.rcbuffer->pybuffer.buf, __pyx_t_32, __pyx_pybuffernd_stack_f.diminfo[0].strides) = -1;

          /* "scipy/sparse/csgraph/_traversal.pyx":665
 *                         stack_b[stack_head] = END
 *                     stack_f[v] = VOID
 *                     stack_b[v] = VOID             # <<<<<<<<<<<<<<
 * 
 *                     root = 1 # True
 */
          __pyx_t_33 = __pyx_v_v;
          __pyx_t_10 = -1;
          if (__pyx_t_33 < 0) {
            __pyx_t_33 += __pyx_pybuffernd_stack_b.diminfo[0].shape;
            if (unlikely(__pyx_t_33 < 0)) __pyx_t_10 = 0;
          } else if (unlikely(__pyx_t_33 >= __pyx_pybuffernd_stack_b.diminfo[0].shape)) __pyx_t_10 = 0;
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            __Pyx_RaiseBufferIndexError(__pyx_t_10);
            {__pyx_filename = __pyx_f[0]; __pyx_lineno = 665; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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          *__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_10_traversal_ITYPE_t *, __pyx_pybuffernd_stack_b.rcbuffer->pybuffer.buf, __pyx_t_33, __pyx_pybuffernd_stack_b.diminfo[0].strides) = -1;

          /* "scipy/sparse/csgraph/_traversal.pyx":667
 *                     stack_b[v] = VOID
 * 
 *                     root = 1 # True             # <<<<<<<<<<<<<<
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 *                     for j in range(indptr[v], indptr[v+1]):
 */
          __pyx_v_root = 1;

          /* "scipy/sparse/csgraph/_traversal.pyx":668
 * 
 *                     root = 1 # True
 *                     low_v = lowlinks[v]             # <<<<<<<<<<<<<<
 *                     for j in range(indptr[v], indptr[v+1]):
 *                         low_w = lowlinks[indices[j]]
 */
          __pyx_t_34 = __pyx_v_v;
          __pyx_t_10 = -1;
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            __pyx_t_34 += __pyx_pybuffernd_lowlinks.diminfo[0].shape;
            if (unlikely(__pyx_t_34 < 0)) __pyx_t_10 = 0;
          } else if (unlikely(__pyx_t_34 >= __pyx_pybuffernd_lowlinks.diminfo[0].shape)) __pyx_t_10 = 0;
          if (unlikely(__pyx_t_10 != -1)) {
            __Pyx_RaiseBufferIndexError(__pyx_t_10);
            {__pyx_filename = __pyx_f[0]; __pyx_lineno = 668; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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          __pyx_v_low_v = (*__Pyx_BufPtrCContig1d(__pyx_t_5scipy_6sparse_7csgraph_10_traversal_ITYPE_t *, __pyx_pybuffernd_lowlinks.rcbuffer->pybuffer.buf, __pyx_t_34, __pyx_pybuffernd_lowlinks.diminfo[0].strides));

          /* "scipy/sparse/csgraph/_traversal.pyx":669
 *                     root = 1 # True
 *                     low_v = lowlinks[v]
 *                     for j in range(indptr[v], indptr[v+1]):             # <<<<<<<<<<<<<<
 *                         low_w = lowlinks[indices[j]]
 *                         if low_w < low_v:
 */
          __pyx_t_35 = (__pyx_v_v + 1);
          __pyx_t_10 = -1;
          if (__pyx_t_35 < 0) {
            __pyx_t_35 += __pyx_pybuffernd_indptr.diminfo[0].shape;
            if (unlikely(__pyx_t_35 < 0)) __pyx_t_10 = 0;
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    } 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 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 (PyType_Check(type)) {
#if CYTHON_COMPILING_IN_PYPY
        if (!value) {
            Py_INCREF(Py_None);
            value = Py_None;
        }
#endif
        PyErr_NormalizeException(&type, &value, &tb);
    } else {
        if (value) {
            PyErr_SetString(PyExc_TypeError,
                "instance exception may not have a separate value");
            goto raise_error;
        }
        value = type;
        type = (PyObject*) Py_TYPE(type);
        Py_INCREF(type);
        if (!PyType_IsSubtype((PyTypeObject *)type, (PyTypeObject *)PyExc_BaseException)) {
            PyErr_SetString(PyExc_TypeError,
                "raise: exception class must be a subclass of BaseException");
            goto raise_error;
        }
    }
    __Pyx_ErrRestore(type, value, tb);
    return;
raise_error:
    Py_XDECREF(value);
    Py_XDECREF(type);
    Py_XDECREF(tb);
    return;
}
#else
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {
    PyObject* owned_instance = NULL;
    if (tb == Py_None) {
        tb = 0;
    } else if (tb && !PyTraceBack_Check(tb)) {
        PyErr_SetString(PyExc_TypeError,
            "raise: arg 3 must be a traceback or None");
        goto bad;
    }
    if (value == Py_None)
        value = 0;
    if (PyExceptionInstance_Check(type)) {
        if (value) {
            PyErr_SetString(PyExc_TypeError,
                "instance exception may not have a separate value");
            goto bad;
        }
        value = type;
        type = (PyObject*) Py_TYPE(value);
    } else if (PyExceptionClass_Check(type)) {
        PyObject *instance_class = NULL;
        if (value && PyExceptionInstance_Check(value)) {
            instance_class = (PyObject*) Py_TYPE(value);
            if (instance_class != type) {
                int is_subclass = PyObject_IsSubclass(instance_class, type);
                if (!is_subclass) {
                    instance_class = NULL;
                } else if (unlikely(is_subclass == -1)) {
                    goto bad;
                } else {
                    type = instance_class;
                }
            }
        }
        if (!instance_class) {
            PyObject *args;
            if (!value)
                args = PyTuple_New(0);
            else if (PyTuple_Check(value)) {
                Py_INCREF(value);
                args = value;
            } else
                args = PyTuple_Pack(1, value);
            if (!args)
                goto bad;
            owned_instance = PyObject_Call(type, args, NULL);
            Py_DECREF(args);
            if (!owned_instance)
                goto bad;
            value = owned_instance;
            if (!PyExceptionInstance_Check(value)) {
                PyErr_Format(PyExc_TypeError,
                             "calling %R should have returned an instance of "
                             "BaseException, not %R",
                             type, Py_TYPE(value));
                goto bad;
            }
        }
    } else {
        PyErr_SetString(PyExc_TypeError,
            "raise: exception class must be a subclass of BaseException");
        goto bad;
    }
#if PY_VERSION_HEX >= 0x03030000
    if (cause) {
#else
    if (cause && cause != Py_None) {
#endif
        PyObject *fixed_cause;
        if (cause == Py_None) {
            fixed_cause = NULL;
        } else if (PyExceptionClass_Check(cause)) {
            fixed_cause = PyObject_CallObject(cause, NULL);
            if (fixed_cause == NULL)
                goto bad;
        } else if (PyExceptionInstance_Check(cause)) {
            fixed_cause = cause;
            Py_INCREF(fixed_cause);
        } else {
            PyErr_SetString(PyExc_TypeError,
                            "exception causes must derive from "
                            "BaseException");
            goto bad;
        }
        PyException_SetCause(value, fixed_cause);
    }
    PyErr_SetObject(type, value);
    if (tb) {
#if CYTHON_COMPILING_IN_PYPY
        PyObject *tmp_type, *tmp_value, *tmp_tb;
        PyErr_Fetch(&tmp_type, &tmp_value, &tmp_tb);
        Py_INCREF(tb);
        PyErr_Restore(tmp_type, tmp_value, tb);
        Py_XDECREF(tmp_tb);
#else
        PyThreadState *tstate = PyThreadState_GET();
        PyObject* tmp_tb = tstate->curexc_traceback;
        if (tb != tmp_tb) {
            Py_INCREF(tb);
            tstate->curexc_traceback = tb;
            Py_XDECREF(tmp_tb);
        }
#endif
    }
bad:
    Py_XDECREF(owned_instance);
    return;
}
#endif

static CYTHON_INLINE PyObject *__Pyx_GetModuleGlobalName(PyObject *name) {
    PyObject *result;
#if CYTHON_COMPILING_IN_CPYTHON
    result = PyDict_GetItem(__pyx_d, name);
    if (likely(result)) {
        Py_INCREF(result);
    } else {
#else
    result = PyObject_GetItem(__pyx_d, name);
    if (!result) {
        PyErr_Clear();
#endif
        result = __Pyx_GetBuiltinName(name);
    }
    return result;
}

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,
                                                              CYTHON_NCP_UNUSED int wraparound,
                                                              CYTHON_NCP_UNUSED 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,
                                                              CYTHON_NCP_UNUSED int wraparound,
                                                              CYTHON_NCP_UNUSED 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,
                                                     CYTHON_NCP_UNUSED int wraparound,
                                                     CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_COMPILING_IN_CPYTHON
    if (is_list || PyList_CheckExact(o)) {
        Py_ssize_t n = ((!wraparound) | 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 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 void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected) {
    PyErr_Format(PyExc_ValueError,
                 "too many values to unpack (expected %" CYTHON_FORMAT_SSIZE_T "d)", expected);
}

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

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

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

static CYTHON_INLINE PyObject* __Pyx_PyObject_GetSlice(PyObject* obj,
        Py_ssize_t cstart, Py_ssize_t cstop,
        PyObject** _py_start, PyObject** _py_stop, PyObject** _py_slice,
        int has_cstart, int has_cstop, CYTHON_UNUSED int wraparound) {
#if CYTHON_COMPILING_IN_CPYTHON
    PyMappingMethods* mp;
#if PY_MAJOR_VERSION < 3
    PySequenceMethods* ms = Py_TYPE(obj)->tp_as_sequence;
    if (likely(ms && ms->sq_slice)) {
        if (!has_cstart) {
            if (_py_start && (*_py_start != Py_None)) {
                cstart = __Pyx_PyIndex_AsSsize_t(*_py_start);
                if ((cstart == (Py_ssize_t)-1) && PyErr_Occurred()) goto bad;
            } else
                cstart = 0;
        }
        if (!has_cstop) {
            if (_py_stop && (*_py_stop != Py_None)) {
                cstop = __Pyx_PyIndex_AsSsize_t(*_py_stop);
                if ((cstop == (Py_ssize_t)-1) && PyErr_Occurred()) goto bad;
            } else
                cstop = PY_SSIZE_T_MAX;
        }
        if (wraparound && unlikely((cstart < 0) | (cstop < 0)) && likely(ms->sq_length)) {
            Py_ssize_t l = ms->sq_length(obj);
            if (likely(l >= 0)) {
                if (cstop < 0) {
                    cstop += l;
                    if (cstop < 0) cstop = 0;
                }
                if (cstart < 0) {
                    cstart += l;
                    if (cstart < 0) cstart = 0;
                }
            } else {
                if (PyErr_ExceptionMatches(PyExc_OverflowError))
                    PyErr_Clear();
                else
                    goto bad;
            }
        }
        return ms->sq_slice(obj, cstart, cstop);
    }
#endif
    mp = Py_TYPE(obj)->tp_as_mapping;
    if (likely(mp && mp->mp_subscript))
#endif
    {
        PyObject* result;
        PyObject *py_slice, *py_start, *py_stop;
        if (_py_slice) {
            py_slice = *_py_slice;
        } else {
            PyObject* owned_start = NULL;
            PyObject* owned_stop = NULL;
            if (_py_start) {
                py_start = *_py_start;
            } else {
                if (has_cstart) {
                    owned_start = py_start = PyInt_FromSsize_t(cstart);
                    if (unlikely(!py_start)) goto bad;
                } else
                    py_start = Py_None;
            }
            if (_py_stop) {
                py_stop = *_py_stop;
            } else {
                if (has_cstop) {
                    owned_stop = py_stop = PyInt_FromSsize_t(cstop);
                    if (unlikely(!py_stop)) {
                        Py_XDECREF(owned_start);
                        goto bad;
                    }
                } else
                    py_stop = Py_None;
            }
            py_slice = PySlice_New(py_start, py_stop, Py_None);
            Py_XDECREF(owned_start);
            Py_XDECREF(owned_stop);
            if (unlikely(!py_slice)) goto bad;
        }
#if CYTHON_COMPILING_IN_CPYTHON
        result = mp->mp_subscript(obj, py_slice);
#else
        result = PyObject_GetItem(obj, py_slice);
#endif
        if (!_py_slice) {
            Py_DECREF(py_slice);
        }
        return result;
    }
    PyErr_Format(PyExc_TypeError,
        "'%.200s' object is unsliceable", Py_TYPE(obj)->tp_name);
bad:
    return NULL;
}

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

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

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

static void __Pyx_RaiseBufferFallbackError(void) {
  PyErr_SetString(PyExc_ValueError,
     "Buffer acquisition failed on assignment; and then reacquiring the old buffer failed too!");
}

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

static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level) {
    PyObject *empty_list = 0;
    PyObject *module = 0;
    PyObject *global_dict = 0;
    PyObject *empty_dict = 0;
    PyObject *list;
    #if PY_VERSION_HEX < 0x03030000
    PyObject *py_import;
    py_import = __Pyx_PyObject_GetAttrStr(__pyx_b, __pyx_n_s_import);
    if (!py_import)
        goto bad;
    #endif
    if (from_list)
        list = from_list;
    else {
        empty_list = PyList_New(0);
        if (!empty_list)
            goto bad;
        list = empty_list;
    }
    global_dict = PyModule_GetDict(__pyx_m);
    if (!global_dict)
        goto bad;
    empty_dict = PyDict_New();
    if (!empty_dict)
        goto bad;
    {
        #if PY_MAJOR_VERSION >= 3
        if (level == -1) {
            if (strchr(__Pyx_MODULE_NAME, '.')) {
                #if PY_VERSION_HEX < 0x03030000
                PyObject *py_level = PyInt_FromLong(1);
                if (!py_level)
                    goto bad;
                module = PyObject_CallFunctionObjArgs(py_import,
                    name, global_dict, empty_dict, list, py_level, NULL);
                Py_DECREF(py_level);
                #else
                module = PyImport_ImportModuleLevelObject(
                    name, global_dict, empty_dict, list, 1);
                #endif
                if (!module) {
                    if (!PyErr_ExceptionMatches(PyExc_ImportError))
                        goto bad;
                    PyErr_Clear();
                }
            }
            level = 0;
        }
        #endif
        if (!module) {
            #if PY_VERSION_HEX < 0x03030000
            PyObject *py_level = PyInt_FromLong(level);
            if (!py_level)
                goto bad;
            module = PyObject_CallFunctionObjArgs(py_import,
                name, global_dict, empty_dict, list, py_level, NULL);
            Py_DECREF(py_level);
            #else
            module = PyImport_ImportModuleLevelObject(
                name, global_dict, empty_dict, list, level);
            #endif
        }
    }
bad:
    #if PY_VERSION_HEX < 0x03030000
    Py_XDECREF(py_import);
    #endif
    Py_XDECREF(empty_list);
    Py_XDECREF(empty_dict);
    return module;
}

static 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 int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line) {
    int start = 0, mid = 0, end = count - 1;
    if (end >= 0 && code_line > entries[end].code_line) {
        return count;
    }
    while (start < end) {
        mid = start + (end - start) / 2;
        if (code_line < entries[mid].code_line) {
            end = mid;
        } else if (code_line > entries[mid].code_line) {
             start = mid + 1;
        } else {
            return mid;
        }
    }
    if (code_line <= entries[mid].code_line) {
        return mid;
    } else {
        return mid + 1;
    }
}
static PyCodeObject *__pyx_find_code_object(int code_line) {
    PyCodeObject* code_object;
    int pos;
    if (unlikely(!code_line) || unlikely(!__pyx_code_cache.entries)) {
        return NULL;
    }
    pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
    if (unlikely(pos >= __pyx_code_cache.count) || unlikely(__pyx_code_cache.entries[pos].code_line != code_line)) {
        return NULL;
    }
    code_object = __pyx_code_cache.entries[pos].code_object;
    Py_INCREF(code_object);
    return code_object;
}
static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object) {
    int pos, i;
    __Pyx_CodeObjectCacheEntry* entries = __pyx_code_cache.entries;
    if (unlikely(!code_line)) {
        return;
    }
    if (unlikely(!entries)) {
        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Malloc(64*sizeof(__Pyx_CodeObjectCacheEntry));
        if (likely(entries)) {
            __pyx_code_cache.entries = entries;
            __pyx_code_cache.max_count = 64;
            __pyx_code_cache.count = 1;
            entries[0].code_line = code_line;
            entries[0].code_object = code_object;
            Py_INCREF(code_object);
        }
        return;
    }
    pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
    if ((pos < __pyx_code_cache.count) && unlikely(__pyx_code_cache.entries[pos].code_line == code_line)) {
        PyCodeObject* tmp = entries[pos].code_object;
        entries[pos].code_object = code_object;
        Py_DECREF(tmp);
        return;
    }
    if (__pyx_code_cache.count == __pyx_code_cache.max_count) {
        int new_max = __pyx_code_cache.max_count + 64;
        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Realloc(
            __pyx_code_cache.entries, (size_t)new_max*sizeof(__Pyx_CodeObjectCacheEntry));
        if (unlikely(!entries)) {
            return;
        }
        __pyx_code_cache.entries = entries;
        __pyx_code_cache.max_count = new_max;
    }
    for (i=__pyx_code_cache.count; i>pos; i--) {
        entries[i] = entries[i-1];
    }
    entries[pos].code_line = code_line;
    entries[pos].code_object = code_object;
    __pyx_code_cache.count++;
    Py_INCREF(code_object);
}

#include "compile.h"
#include "frameobject.h"
#include "traceback.h"
static PyCodeObject* __Pyx_CreateCodeObjectForTraceback(
            const char *funcname, int c_line,
            int py_line, const char *filename) {
    PyCodeObject *py_code = 0;
    PyObject *py_srcfile = 0;
    PyObject *py_funcname = 0;
    #if PY_MAJOR_VERSION < 3
    py_srcfile = PyString_FromString(filename);
    #else
    py_srcfile = PyUnicode_FromString(filename);
    #endif
    if (!py_srcfile) goto bad;
    if (c_line) {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        #else
        py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        #endif
    }
    else {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromString(funcname);
        #else
        py_funcname = PyUnicode_FromString(funcname);
        #endif
    }
    if (!py_funcname) goto bad;
    py_code = __Pyx_PyCode_New(
        0,
        0,
        0,
        0,
        0,
        __pyx_empty_bytes, /*PyObject *code,*/
        __pyx_empty_tuple, /*PyObject *consts,*/
        __pyx_empty_tuple, /*PyObject *names,*/
        __pyx_empty_tuple, /*PyObject *varnames,*/
        __pyx_empty_tuple, /*PyObject *freevars,*/
        __pyx_empty_tuple, /*PyObject *cellvars,*/
        py_srcfile,   /*PyObject *filename,*/
        py_funcname,  /*PyObject *name,*/
        py_line,
        __pyx_empty_bytes  /*PyObject *lnotab*/
    );
    Py_DECREF(py_srcfile);
    Py_DECREF(py_funcname);
    return py_code;
bad:
    Py_XDECREF(py_srcfile);
    Py_XDECREF(py_funcname);
    return NULL;
}
static void __Pyx_AddTraceback(const char *funcname, int c_line,
                               int py_line, const char *filename) {
    PyCodeObject *py_code = 0;
    PyFrameObject *py_frame = 0;
    py_code = __pyx_find_code_object(c_line ? c_line : py_line);
    if (!py_code) {
        py_code = __Pyx_CreateCodeObjectForTraceback(
            funcname, c_line, py_line, filename);
        if (!py_code) goto bad;
        __pyx_insert_code_object(c_line ? c_line : py_line, py_code);
    }
    py_frame = PyFrame_New(
        PyThreadState_GET(), /*PyThreadState *tstate,*/
        py_code,             /*PyCodeObject *code,*/
        __pyx_d,      /*PyObject *globals,*/
        0                    /*PyObject *locals*/
    );
    if (!py_frame) goto bad;
    py_frame->f_lineno = py_line;
    PyTraceBack_Here(py_frame);
bad:
    Py_XDECREF(py_code);
    Py_XDECREF(py_frame);
}

#if PY_MAJOR_VERSION < 3
static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags) {
    if (PyObject_CheckBuffer(obj)) return PyObject_GetBuffer(obj, view, flags);
        if (PyObject_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) return __pyx_pw_5numpy_7ndarray_1__getbuffer__(obj, view, flags);
    PyErr_Format(PyExc_TypeError, "'%.200s' does not have the buffer interface", Py_TYPE(obj)->tp_name);
    return -1;
}
static void __Pyx_ReleaseBuffer(Py_buffer *view) {
    PyObject *obj = view->obj;
    if (!obj) return;
    if (PyObject_CheckBuffer(obj)) {
        PyBuffer_Release(view);
        return;
    }
        if (PyObject_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) { __pyx_pw_5numpy_7ndarray_3__releasebuffer__(obj, view); return; }
    Py_DECREF(obj);
    view->obj = NULL;
}
#endif


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

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

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

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

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

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

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

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

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

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

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

#ifndef __PYX_HAVE_RT_ImportType
#define __PYX_HAVE_RT_ImportType
static PyTypeObject *__Pyx_ImportType(const char *module_name, const char *class_name,
    size_t size, int strict)
{
    PyObject *py_module = 0;
    PyObject *result = 0;
    PyObject *py_name = 0;
    char warning[200];
    Py_ssize_t basicsize;
#ifdef Py_LIMITED_API
    PyObject *py_basicsize;
#endif
    py_module = __Pyx_ImportModule(module_name);
    if (!py_module)
        goto bad;
    py_name = __Pyx_PyIdentifier_FromString(class_name);
    if (!py_name)
        goto bad;
    result = PyObject_GetAttr(py_module, py_name);
    Py_DECREF(py_name);
    py_name = 0;
    Py_DECREF(py_module);
    py_module = 0;
    if (!result)
        goto bad;
    if (!PyType_Check(result)) {
        PyErr_Format(PyExc_TypeError,
            "%.200s.%.200s is not a type object",
            module_name, class_name);
        goto bad;
    }
#ifndef Py_LIMITED_API
    basicsize = ((PyTypeObject *)result)->tp_basicsize;
#else
    py_basicsize = PyObject_GetAttrString(result, "__basicsize__");
    if (!py_basicsize)
        goto bad;
    basicsize = PyLong_AsSsize_t(py_basicsize);
    Py_DECREF(py_basicsize);
    py_basicsize = 0;
    if (basicsize == (Py_ssize_t)-1 && PyErr_Occurred())
        goto bad;
#endif
    if (!strict && (size_t)basicsize > size) {
        PyOS_snprintf(warning, sizeof(warning),
            "%s.%s size changed, may indicate binary incompatibility",
            module_name, class_name);
        if (PyErr_WarnEx(NULL, warning, 0) < 0) goto bad;
    }
    else if ((size_t)basicsize != size) {
        PyErr_Format(PyExc_ValueError,
            "%.200s.%.200s has the wrong size, try recompiling",
            module_name, class_name);
        goto bad;
    }
    return (PyTypeObject *)result;
bad:
    Py_XDECREF(py_module);
    Py_XDECREF(result);
    return NULL;
}
#endif

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

static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char* c_str) {
    return __Pyx_PyUnicode_FromStringAndSize(c_str, (Py_ssize_t)strlen(c_str));
}
static CYTHON_INLINE char* __Pyx_PyObject_AsString(PyObject* o) {
    Py_ssize_t ignore;
    return __Pyx_PyObject_AsStringAndSize(o, &ignore);
}
static CYTHON_INLINE char* __Pyx_PyObject_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
#if CYTHON_COMPILING_IN_CPYTHON && (__PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT)
    if (
#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
            __Pyx_sys_getdefaultencoding_not_ascii &&
#endif
            PyUnicode_Check(o)) {
#if PY_VERSION_HEX < 0x03030000
        char* defenc_c;
        PyObject* defenc = _PyUnicode_AsDefaultEncodedString(o, NULL);
        if (!defenc) return NULL;
        defenc_c = PyBytes_AS_STRING(defenc);
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
        {
            char* end = defenc_c + PyBytes_GET_SIZE(defenc);
            char* c;
            for (c = defenc_c; c < end; c++) {
                if ((unsigned char) (*c) >= 128) {
                    PyUnicode_AsASCIIString(o);
                    return NULL;
                }
            }
        }
#endif
        *length = PyBytes_GET_SIZE(defenc);
        return defenc_c;
#else
        if (__Pyx_PyUnicode_READY(o) == -1) return NULL;
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
        if (PyUnicode_IS_ASCII(o)) {
            *length = PyUnicode_GET_LENGTH(o);
            return PyUnicode_AsUTF8(o);
        } else {
            PyUnicode_AsASCIIString(o);
            return NULL;
        }
#else
        return PyUnicode_AsUTF8AndSize(o, length);
#endif
#endif
    } else
#endif
#if (!CYTHON_COMPILING_IN_PYPY) || (defined(PyByteArray_AS_STRING) && defined(PyByteArray_GET_SIZE))
    if (PyByteArray_Check(o)) {
        *length = PyByteArray_GET_SIZE(o);
        return PyByteArray_AS_STRING(o);
    } else
#endif
    {
        char* result;
        int r = PyBytes_AsStringAndSize(o, &result, length);
        if (unlikely(r < 0)) {
            return NULL;
        } else {
            return result;
        }
    }
}
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject* x) {
   int is_true = x == Py_True;
   if (is_true | (x == Py_False) | (x == Py_None)) return is_true;
   else return PyObject_IsTrue(x);
}
static CYTHON_INLINE PyObject* __Pyx_PyNumber_Int(PyObject* x) {
  PyNumberMethods *m;
  const char *name = NULL;
  PyObject *res = NULL;
#if PY_MAJOR_VERSION < 3
  if (PyInt_Check(x) || PyLong_Check(x))
#else
  if (PyLong_Check(x))
#endif
    return __Pyx_NewRef(x);
  m = Py_TYPE(x)->tp_as_number;
#if PY_MAJOR_VERSION < 3
  if (m && m->nb_int) {
    name = "int";
    res = PyNumber_Int(x);
  }
  else if (m && m->nb_long) {
    name = "long";
    res = PyNumber_Long(x);
  }
#else
  if (m && m->nb_int) {
    name = "int";
    res = PyNumber_Long(x);
  }
#endif
  if (res) {
#if PY_MAJOR_VERSION < 3
    if (!PyInt_Check(res) && !PyLong_Check(res)) {
#else
    if (!PyLong_Check(res)) {
#endif
      PyErr_Format(PyExc_TypeError,
                   "__%.4s__ returned non-%.4s (type %.200s)",
                   name, name, Py_TYPE(res)->tp_name);
      Py_DECREF(res);
      return NULL;
    }
  }
  else if (!PyErr_Occurred()) {
    PyErr_SetString(PyExc_TypeError,
                    "an integer is required");
  }
  return res;
}
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) {
  Py_ssize_t ival;
  PyObject *x;
#if PY_MAJOR_VERSION < 3
  if (likely(PyInt_CheckExact(b))) {
    if (sizeof(Py_ssize_t) >= sizeof(long))
        return PyInt_AS_LONG(b);
    else
        return PyInt_AsSsize_t(x);
  }
#endif
  if (likely(PyLong_CheckExact(b))) {
    #if CYTHON_USE_PYLONG_INTERNALS
    const digit* digits = ((PyLongObject*)b)->ob_digit;
    const Py_ssize_t size = Py_SIZE(b);
    if (likely(__Pyx_sst_abs(size) <= 1)) {
        ival = likely(size) ? digits[0] : 0;
        if (size == -1) ival = -ival;
        return ival;
    } else {
      switch (size) {
         case 2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case 3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case 4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
      }
    }
    #endif
    return PyLong_AsSsize_t(b);
  }
  x = PyNumber_Index(b);
  if (!x) return -1;
  ival = PyInt_AsSsize_t(x);
  Py_DECREF(x);
  return ival;
}
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
    return PyInt_FromSize_t(ival);
}


#endif /* Py_PYTHON_H */
