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  #define PyInt_AsSsize_t              PyLong_AsSsize_t
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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)

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  #elif defined(_MSC_VER)
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    #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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    #define __PYX_EXTERN_C extern "C"
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    #define __PYX_EXTERN_C extern
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#endif

#define __PYX_HAVE__scipy__spatial__qhull
#define __PYX_HAVE_API__scipy__spatial__qhull
#include "numpy/ndarrayobject.h"
#include "string.h"
#include "stdio.h"
#include "stdlib.h"
#include "numpy/arrayobject.h"
#include "numpy/ufuncobject.h"
#include "numpy/npy_math.h"
#include "math.h"
#include "setjmp.h"
#include "qhull/src/user_r.h"
#include "qhull/src/qset_r.h"
#include "qhull/src/libqhull_r.h"
#include "qhull/src/io_r.h"
#include "qhull/src/geom_r.h"
#include "qhull/src/poly_r.h"
#include "qhull/src/mem_r.h"
#include "qhull_misc.h"
#include "pythread.h"
#include "pystate.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/spatial/qhull.pyx",
  "__init__.pxd",
  "scipy/spatial/setlist.pxd",
  "scipy/spatial/stringsource",
  "type.pxd",
  "bool.pxd",
  "complex.pxd",
};
struct __pyx_memoryview_obj;
typedef struct {
  struct __pyx_memoryview_obj *memview;
  char *data;
  Py_ssize_t shape[8];
  Py_ssize_t strides[8];
  Py_ssize_t suboffsets[8];
} __Pyx_memviewslice;

#define 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;

#include <pythread.h>
#ifndef CYTHON_ATOMICS
    #define CYTHON_ATOMICS 1
#endif
#define __pyx_atomic_int_type int
#if CYTHON_ATOMICS && __GNUC__ >= 4 && (__GNUC_MINOR__ > 1 ||\
                    (__GNUC_MINOR__ == 1 && __GNUC_PATCHLEVEL >= 2)) &&\
                    !defined(__i386__)
    #define __pyx_atomic_incr_aligned(value, lock) __sync_fetch_and_add(value, 1)
    #define __pyx_atomic_decr_aligned(value, lock) __sync_fetch_and_sub(value, 1)
    #ifdef __PYX_DEBUG_ATOMICS
        #warning "Using GNU atomics"
    #endif
#elif CYTHON_ATOMICS && defined(_MSC_VER) && 0
    #include <Windows.h>
    #undef __pyx_atomic_int_type
    #define __pyx_atomic_int_type LONG
    #define __pyx_atomic_incr_aligned(value, lock) InterlockedIncrement(value)
    #define __pyx_atomic_decr_aligned(value, lock) InterlockedDecrement(value)
    #ifdef __PYX_DEBUG_ATOMICS
        #pragma message ("Using MSVC atomics")
    #endif
#elif CYTHON_ATOMICS && (defined(__ICC) || defined(__INTEL_COMPILER)) && 0
    #define __pyx_atomic_incr_aligned(value, lock) _InterlockedIncrement(value)
    #define __pyx_atomic_decr_aligned(value, lock) _InterlockedDecrement(value)
    #ifdef __PYX_DEBUG_ATOMICS
        #warning "Using Intel atomics"
    #endif
#else
    #undef CYTHON_ATOMICS
    #define CYTHON_ATOMICS 0
    #ifdef __PYX_DEBUG_ATOMICS
        #warning "Not using atomics"
    #endif
#endif
typedef volatile __pyx_atomic_int_type __pyx_atomic_int;
#if CYTHON_ATOMICS
    #define __pyx_add_acquisition_count(memview)\
             __pyx_atomic_incr_aligned(__pyx_get_slice_count_pointer(memview), memview->lock)
    #define __pyx_sub_acquisition_count(memview)\
            __pyx_atomic_decr_aligned(__pyx_get_slice_count_pointer(memview), memview->lock)
#else
    #define __pyx_add_acquisition_count(memview)\
            __pyx_add_acquisition_count_locked(__pyx_get_slice_count_pointer(memview), memview->lock)
    #define __pyx_sub_acquisition_count(memview)\
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/* "../../../../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
 * #ctypedef npy_int96      int96_t
 */
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             # <<<<<<<<<<<<<<
 * #ctypedef npy_int96      int96_t
 * #ctypedef npy_int128     int128_t
 */
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
 */
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
 */
typedef npy_uint16 __pyx_t_5numpy_uint16_t;

/* "../../../../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
 * #ctypedef npy_uint96     uint96_t
 */
typedef npy_uint32 __pyx_t_5numpy_uint32_t;

/* "../../../../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
 */
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
 */
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             # <<<<<<<<<<<<<<
 * #ctypedef npy_float80    float80_t
 * #ctypedef npy_float128   float128_t
 */
typedef npy_float64 __pyx_t_5numpy_float64_t;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":749
 * # The int types are mapped a bit surprising --
 * # numpy.int corresponds to 'l' and numpy.long to 'q'
 * ctypedef npy_long       int_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longlong   long_t
 * ctypedef npy_longlong   longlong_t
 */
typedef npy_long __pyx_t_5numpy_int_t;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":750
 * # numpy.int corresponds to 'l' and numpy.long to 'q'
 * ctypedef npy_long       int_t
 * ctypedef npy_longlong   long_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longlong   longlong_t
 * 
 */
typedef npy_longlong __pyx_t_5numpy_long_t;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":751
 * ctypedef npy_long       int_t
 * ctypedef npy_longlong   long_t
 * ctypedef npy_longlong   longlong_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_ulong      uint_t
 */
typedef npy_longlong __pyx_t_5numpy_longlong_t;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":753
 * ctypedef npy_longlong   longlong_t
 * 
 * ctypedef npy_ulong      uint_t             # <<<<<<<<<<<<<<
 * ctypedef npy_ulonglong  ulong_t
 * ctypedef npy_ulonglong  ulonglong_t
 */
typedef npy_ulong __pyx_t_5numpy_uint_t;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":754
 * 
 * ctypedef npy_ulong      uint_t
 * ctypedef npy_ulonglong  ulong_t             # <<<<<<<<<<<<<<
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 */
typedef npy_ulonglong __pyx_t_5numpy_ulong_t;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":755
 * ctypedef npy_ulong      uint_t
 * ctypedef npy_ulonglong  ulong_t
 * ctypedef npy_ulonglong  ulonglong_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_intp       intp_t
 */
typedef npy_ulonglong __pyx_t_5numpy_ulonglong_t;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":757
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 * ctypedef npy_intp       intp_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uintp      uintp_t
 * 
 */
typedef npy_intp __pyx_t_5numpy_intp_t;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":758
 * 
 * ctypedef npy_intp       intp_t
 * ctypedef npy_uintp      uintp_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_double     float_t
 */
typedef npy_uintp __pyx_t_5numpy_uintp_t;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":760
 * ctypedef npy_uintp      uintp_t
 * 
 * ctypedef npy_double     float_t             # <<<<<<<<<<<<<<
 * ctypedef npy_double     double_t
 * ctypedef npy_longdouble longdouble_t
 */
typedef npy_double __pyx_t_5numpy_float_t;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":761
 * 
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longdouble longdouble_t
 * 
 */
typedef npy_double __pyx_t_5numpy_double_t;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":762
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t
 * ctypedef npy_longdouble longdouble_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_cfloat      cfloat_t
 */
typedef npy_longdouble __pyx_t_5numpy_longdouble_t;
#if CYTHON_CCOMPLEX
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#if CYTHON_CCOMPLEX
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/*--- Type declarations ---*/
struct __pyx_obj_5scipy_7spatial_5qhull__QhullMessageStream;
struct __pyx_obj_5scipy_7spatial_5qhull__Qhull;
struct __pyx_array_obj;
struct __pyx_MemviewEnum_obj;
struct __pyx_memoryview_obj;
struct __pyx_memoryviewslice_obj;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":764
 * ctypedef npy_longdouble longdouble_t
 * 
 * ctypedef npy_cfloat      cfloat_t             # <<<<<<<<<<<<<<
 * ctypedef npy_cdouble     cdouble_t
 * ctypedef npy_clongdouble clongdouble_t
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typedef npy_cfloat __pyx_t_5numpy_cfloat_t;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":765
 * 
 * ctypedef npy_cfloat      cfloat_t
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typedef npy_cdouble __pyx_t_5numpy_cdouble_t;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":766
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 * ctypedef npy_cdouble     cdouble_t
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typedef npy_clongdouble __pyx_t_5numpy_clongdouble_t;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":768
 * ctypedef npy_clongdouble clongdouble_t
 * 
 * ctypedef npy_cdouble     complex_t             # <<<<<<<<<<<<<<
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typedef npy_cdouble __pyx_t_5numpy_complex_t;
struct __pyx_t_5scipy_7spatial_7setlist_setlist_t;

/* "setlist.pxd":17
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 */
struct __pyx_t_5scipy_7spatial_7setlist_setlist_t {
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  int **sets;
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struct __pyx_t_5scipy_7spatial_5qhull_DelaunayInfo_t;
typedef struct __pyx_t_5scipy_7spatial_5qhull_DelaunayInfo_t __pyx_t_5scipy_7spatial_5qhull_DelaunayInfo_t;

/* "scipy/spatial/qhull.pxd":16
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struct __pyx_t_5scipy_7spatial_5qhull_DelaunayInfo_t {
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  int npoints;
  int nsimplex;
  double *points;
  int *simplices;
  int *neighbors;
  double *equations;
  double *transform;
  int *vertex_to_simplex;
  double paraboloid_scale;
  double paraboloid_shift;
  double *max_bound;
  double *min_bound;
  int *vertex_neighbors_indices;
  int *vertex_neighbors_indptr;
};

/* "scipy/spatial/qhull.pyx":225
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struct __pyx_obj_5scipy_7spatial_5qhull__QhullMessageStream {
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/* "scipy/spatial/qhull.pyx":306
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struct __pyx_obj_5scipy_7spatial_5qhull__Qhull {
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struct __pyx_array_obj {
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struct __pyx_vtabstruct__memoryviewslice {
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    if (likely(tp->tp_getattro))
        return tp->tp_getattro(obj, attr_name);
#if PY_MAJOR_VERSION < 3
    if (likely(tp->tp_getattr))
        return tp->tp_getattr(obj, PyString_AS_STRING(attr_name));
#endif
    return PyObject_GetAttr(obj, attr_name);
}
#else
#define __Pyx_PyObject_GetAttrStr(o,n) PyObject_GetAttr(o,n)
#endif

static PyObject *__Pyx_GetBuiltinName(PyObject *name);

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

static CYTHON_INLINE int __Pyx_CheckKeywordStrings(PyObject *kwdict, const char* function_name, int kw_allowed);

static CYTHON_INLINE PyObject *__Pyx_GetModuleGlobalName(PyObject *name);

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

static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected);

static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index);

static CYTHON_INLINE int __Pyx_IterFinish(void);

static int __Pyx_IternextUnpackEndCheck(PyObject *retval, Py_ssize_t expected);

#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg);
#endif

static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg);

#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func);
#else
#define __Pyx_PyObject_CallNoArg(func) __Pyx_PyObject_Call(func, __pyx_empty_tuple, NULL)
#endif

static CYTHON_INLINE void __Pyx_ErrRestore(PyObject *type, PyObject *value, PyObject *tb);
static CYTHON_INLINE void __Pyx_ErrFetch(PyObject **type, PyObject **value, PyObject **tb);

static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause);

static void __Pyx_RaiseBufferIndexError(int axis);

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, int wraparound);

static CYTHON_INLINE PyObject* __Pyx_decode_c_bytes(
         const char* cstring, Py_ssize_t length, Py_ssize_t start, Py_ssize_t stop,
         const char* encoding, const char* errors,
         PyObject* (*decode_func)(const char *s, Py_ssize_t size, const char *errors));

static CYTHON_INLINE PyObject* __Pyx_decode_bytes(
         PyObject* string, Py_ssize_t start, Py_ssize_t stop,
         const char* encoding, const char* errors,
         PyObject* (*decode_func)(const char *s, Py_ssize_t size, const char *errors)) {
    return __Pyx_decode_c_bytes(
        PyBytes_AS_STRING(string), PyBytes_GET_SIZE(string),
        start, stop, encoding, errors, decode_func);
}

static CYTHON_INLINE int  __Pyx_GetBufferAndValidate(Py_buffer* buf, PyObject* obj,
    __Pyx_TypeInfo* dtype, int flags, int nd, int cast, __Pyx_BufFmt_StackElem* stack);
static CYTHON_INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info);

#define __Pyx_BUF_MAX_NDIMS %(BUF_MAX_NDIMS)d
#define __Pyx_MEMVIEW_DIRECT   1
#define __Pyx_MEMVIEW_PTR      2
#define __Pyx_MEMVIEW_FULL     4
#define __Pyx_MEMVIEW_CONTIG   8
#define __Pyx_MEMVIEW_STRIDED  16
#define __Pyx_MEMVIEW_FOLLOW   32
#define __Pyx_IS_C_CONTIG 1
#define __Pyx_IS_F_CONTIG 2
static int __Pyx_init_memviewslice(
                struct __pyx_memoryview_obj *memview,
                int ndim,
                __Pyx_memviewslice *memviewslice,
                int memview_is_new_reference);
static CYTHON_INLINE int __pyx_add_acquisition_count_locked(
    __pyx_atomic_int *acquisition_count, PyThread_type_lock lock);
static CYTHON_INLINE int __pyx_sub_acquisition_count_locked(
    __pyx_atomic_int *acquisition_count, PyThread_type_lock lock);
#define __pyx_get_slice_count_pointer(memview) (memview->acquisition_count_aligned_p)
#define __pyx_get_slice_count(memview) (*__pyx_get_slice_count_pointer(memview))
#define __PYX_INC_MEMVIEW(slice, have_gil) __Pyx_INC_MEMVIEW(slice, have_gil, __LINE__)
#define __PYX_XDEC_MEMVIEW(slice, have_gil) __Pyx_XDEC_MEMVIEW(slice, have_gil, __LINE__)
static CYTHON_INLINE void __Pyx_INC_MEMVIEW(__Pyx_memviewslice *, int, int);
static CYTHON_INLINE void __Pyx_XDEC_MEMVIEW(__Pyx_memviewslice *, int, int);

static void __Pyx_RaiseDoubleKeywordsError(const char* func_name, PyObject* kw_name);

static int __Pyx_ParseOptionalKeywords(PyObject *kwds, PyObject **argnames[],\
    PyObject *kwds2, PyObject *values[], Py_ssize_t num_pos_args,\
    const char* function_name);

static CYTHON_INLINE int __Pyx_ArgTypeTest(PyObject *obj, PyTypeObject *type, int none_allowed,
    const char *name, int exact);

static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type);

static void __Pyx_RaiseBufferFallbackError(void);

static CYTHON_INLINE int __Pyx_PySet_Update(PyObject* set, PyObject* it);

typedef struct {
    PyObject *type;
    PyObject **method_name;
    PyCFunction func;
    PyObject *method;
    int flag;
} __Pyx_CachedCFunction;

static PyObject* __Pyx__CallUnboundCMethod1(__Pyx_CachedCFunction* cfunc, PyObject* self, PyObject* arg);
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_CallUnboundCMethod1(cfunc, self, arg)\
    ((likely((cfunc)->func && (cfunc)->flag == METH_O)) ? (*((cfunc)->func))(self, arg) :\
        __Pyx__CallUnboundCMethod1(cfunc, self, arg))
#else
#define __Pyx_CallUnboundCMethod1(cfunc, self, arg)  __Pyx__CallUnboundCMethod1(cfunc, self, arg)
#endif

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

#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE int __Pyx_PyList_Append(PyObject* list, PyObject* x) {
    PyListObject* L = (PyListObject*) list;
    Py_ssize_t len = Py_SIZE(list);
    if (likely(L->allocated > len) & likely(len > (L->allocated >> 1))) {
        Py_INCREF(x);
        PyList_SET_ITEM(list, len, x);
        Py_SIZE(list) = len+1;
        return 0;
    }
    return PyList_Append(list, x);
}
#else
#define __Pyx_PyList_Append(L,x) PyList_Append(L,x)
#endif

#include <string.h>

static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals);

#if PY_MAJOR_VERSION < 3
#define __Pyx_PyString_Join __Pyx_PyBytes_Join
#define __Pyx_PyBaseString_Join(s, v) (PyUnicode_CheckExact(s) ? PyUnicode_Join(s, v) : __Pyx_PyBytes_Join(s, v))
#else
#define __Pyx_PyString_Join PyUnicode_Join
#define __Pyx_PyBaseString_Join PyUnicode_Join
#endif
#if CYTHON_COMPILING_IN_CPYTHON
    #if PY_MAJOR_VERSION < 3
    #define __Pyx_PyBytes_Join _PyString_Join
    #else
    #define __Pyx_PyBytes_Join _PyBytes_Join
    #endif
#else
static CYTHON_INLINE PyObject* __Pyx_PyBytes_Join(PyObject* sep, PyObject* values);
#endif

#ifndef __PYX_FORCE_INIT_THREADS
  #define __PYX_FORCE_INIT_THREADS 0
#endif

#define __Pyx_GetItemInt(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_GetItemInt_Fast(o, (Py_ssize_t)i, is_list, wraparound, boundscheck) :\
    (is_list ? (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL) :\
               __Pyx_GetItemInt_Generic(o, to_py_func(i))))
#define __Pyx_GetItemInt_List(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_GetItemInt_List_Fast(o, (Py_ssize_t)i, wraparound, boundscheck) :\
    (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL))
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i,
                                                              int wraparound, int boundscheck);
#define __Pyx_GetItemInt_Tuple(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_GetItemInt_Tuple_Fast(o, (Py_ssize_t)i, wraparound, boundscheck) :\
    (PyErr_SetString(PyExc_IndexError, "tuple index out of range"), (PyObject*)NULL))
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,
                                                              int wraparound, int boundscheck);
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j);
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i,
                                                     int is_list, int wraparound, int boundscheck);

#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE int __Pyx_ListComp_Append(PyObject* list, PyObject* x) {
    PyListObject* L = (PyListObject*) list;
    Py_ssize_t len = Py_SIZE(list);
    if (likely(L->allocated > len)) {
        Py_INCREF(x);
        PyList_SET_ITEM(list, len, x);
        Py_SIZE(list) = len+1;
        return 0;
    }
    return PyList_Append(list, x);
}
#else
#define __Pyx_ListComp_Append(L,x) PyList_Append(L,x)
#endif

#if CYTHON_COMPILING_IN_CPYTHON
static PyObject* __Pyx_PyInt_EqObjC(PyObject *op1, PyObject *op2, long intval, int inplace);
#else
#define __Pyx_PyInt_EqObjC(op1, op2, intval, inplace)\
    PyObject_RichCompare(op1, op2, Py_EQ)
    #endif

static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb);

static CYTHON_INLINE void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb);

static CYTHON_INLINE void __Pyx_ExceptionSave(PyObject **type, PyObject **value, PyObject **tb);
static void __Pyx_ExceptionReset(PyObject *type, PyObject *value, PyObject *tb);

#define __Pyx_BufPtrStrided1d(type, buf, i0, s0) (type)((char*)buf + i0 * s0)
#define __Pyx_BufPtrStrided2d(type, buf, i0, s0, i1, s1) (type)((char*)buf + i0 * s0 + i1 * s1)
#if CYTHON_COMPILING_IN_CPYTHON
static PyObject* __Pyx_PyInt_AddObjC(PyObject *op1, PyObject *op2, long intval, int inplace);
#else
#define __Pyx_PyInt_AddObjC(op1, op2, intval, inplace)\
    (inplace ? PyNumber_InPlaceAdd(op1, op2) : PyNumber_Add(op1, op2))
#endif

static void __Pyx_WriteUnraisable(const char *name, int clineno,
                                  int lineno, const char *filename,
                                  int full_traceback, int nogil);

#define __Pyx_BufPtrStrided3d(type, buf, i0, s0, i1, s1, i2, s2) (type)((char*)buf + i0 * s0 + i1 * s1 + i2 * s2)
static CYTHON_INLINE long __Pyx_div_long(long, long);

#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_PyObject_DelAttrStr(o,n) __Pyx_PyObject_SetAttrStr(o,n,NULL)
static CYTHON_INLINE int __Pyx_PyObject_SetAttrStr(PyObject* obj, PyObject* attr_name, PyObject* value) {
    PyTypeObject* tp = Py_TYPE(obj);
    if (likely(tp->tp_setattro))
        return tp->tp_setattro(obj, attr_name, value);
#if PY_MAJOR_VERSION < 3
    if (likely(tp->tp_setattr))
        return tp->tp_setattr(obj, PyString_AS_STRING(attr_name), value);
#endif
    return PyObject_SetAttr(obj, attr_name, value);
}
#else
#define __Pyx_PyObject_DelAttrStr(o,n)   PyObject_DelAttr(o,n)
#define __Pyx_PyObject_SetAttrStr(o,n,v) PyObject_SetAttr(o,n,v)
#endif

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

static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void);

static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals);

#if PY_MAJOR_VERSION >= 3
#define __Pyx_PyString_Equals __Pyx_PyUnicode_Equals
#else
#define __Pyx_PyString_Equals __Pyx_PyBytes_Equals
#endif

static CYTHON_INLINE Py_ssize_t __Pyx_div_Py_ssize_t(Py_ssize_t, Py_ssize_t);

#define UNARY_NEG_WOULD_OVERFLOW(x)\
        (((x) < 0) & ((unsigned long)(x) == 0-(unsigned long)(x)))

static CYTHON_UNUSED int __pyx_array_getbuffer(PyObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /*proto*/
static PyObject *get_memview(PyObject *__pyx_v_self); /*proto*/
static CYTHON_INLINE PyObject *__Pyx_GetAttr(PyObject *, PyObject *);

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

static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level);

static CYTHON_UNUSED int __pyx_memoryview_getbuffer(PyObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /*proto*/
static PyObject *__pyx_memoryview_transpose(PyObject *__pyx_v_self); /*proto*/
static PyObject *__pyx_memoryview__get__base(PyObject *__pyx_v_self); /*proto*/
static PyObject *__pyx_memoryview_get_shape(PyObject *__pyx_v_self); /*proto*/
static PyObject *__pyx_memoryview_get_strides(PyObject *__pyx_v_self); /*proto*/
static PyObject *__pyx_memoryview_get_suboffsets(PyObject *__pyx_v_self); /*proto*/
static PyObject *__pyx_memoryview_get_ndim(PyObject *__pyx_v_self); /*proto*/
static PyObject *__pyx_memoryview_get_itemsize(PyObject *__pyx_v_self); /*proto*/
static PyObject *__pyx_memoryview_get_nbytes(PyObject *__pyx_v_self); /*proto*/
static PyObject *__pyx_memoryview_get_size(PyObject *__pyx_v_self); /*proto*/
static CYTHON_INLINE int __Pyx_PyList_Extend(PyObject* L, PyObject* v) {
#if CYTHON_COMPILING_IN_CPYTHON
    PyObject* none = _PyList_Extend((PyListObject*)L, v);
    if (unlikely(!none))
        return -1;
    Py_DECREF(none);
    return 0;
#else
    return PyList_SetSlice(L, PY_SSIZE_T_MAX, PY_SSIZE_T_MAX, v);
#endif
}

static CYTHON_INLINE void __Pyx_RaiseUnboundLocalError(const char *varname);

static PyObject *__pyx_memoryviewslice__get__base(PyObject *__pyx_v_self); /*proto*/
static int __Pyx_SetVtable(PyObject *dict, void *vtable);

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

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

static PyObject *__Pyx_Py3MetaclassPrepare(PyObject *metaclass, PyObject *bases, PyObject *name, PyObject *qualname,
                                           PyObject *mkw, PyObject *modname, PyObject *doc);
static PyObject *__Pyx_Py3ClassCreate(PyObject *metaclass, PyObject *name, PyObject *bases, PyObject *dict,
                                      PyObject *mkw, int calculate_metaclass, int allow_py2_metaclass);

static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type);

#define __Pyx_CyFunction_USED 1
#include <structmember.h>
#define __Pyx_CYFUNCTION_STATICMETHOD  0x01
#define __Pyx_CYFUNCTION_CLASSMETHOD   0x02
#define __Pyx_CYFUNCTION_CCLASS        0x04
#define __Pyx_CyFunction_GetClosure(f)\
    (((__pyx_CyFunctionObject *) (f))->func_closure)
#define __Pyx_CyFunction_GetClassObj(f)\
    (((__pyx_CyFunctionObject *) (f))->func_classobj)
#define __Pyx_CyFunction_Defaults(type, f)\
    ((type *)(((__pyx_CyFunctionObject *) (f))->defaults))
#define __Pyx_CyFunction_SetDefaultsGetter(f, g)\
    ((__pyx_CyFunctionObject *) (f))->defaults_getter = (g)
typedef struct {
    PyCFunctionObject func;
#if PY_VERSION_HEX < 0x030500A0
    PyObject *func_weakreflist;
#endif
    PyObject *func_dict;
    PyObject *func_name;
    PyObject *func_qualname;
    PyObject *func_doc;
    PyObject *func_globals;
    PyObject *func_code;
    PyObject *func_closure;
    PyObject *func_classobj;
    void *defaults;
    int defaults_pyobjects;
    int flags;
    PyObject *defaults_tuple;
    PyObject *defaults_kwdict;
    PyObject *(*defaults_getter)(PyObject *);
    PyObject *func_annotations;
} __pyx_CyFunctionObject;
static PyTypeObject *__pyx_CyFunctionType = 0;
#define __Pyx_CyFunction_NewEx(ml, flags, qualname, self, module, globals, code)\
    __Pyx_CyFunction_New(__pyx_CyFunctionType, ml, flags, qualname, self, module, globals, code)
static PyObject *__Pyx_CyFunction_New(PyTypeObject *, PyMethodDef *ml,
                                      int flags, PyObject* qualname,
                                      PyObject *self,
                                      PyObject *module, PyObject *globals,
                                      PyObject* code);
static CYTHON_INLINE void *__Pyx_CyFunction_InitDefaults(PyObject *m,
                                                         size_t size,
                                                         int pyobjects);
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *m,
                                                            PyObject *tuple);
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *m,
                                                             PyObject *dict);
static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *m,
                                                              PyObject *dict);
static int __pyx_CyFunction_init(void);

typedef struct {
    int code_line;
    PyCodeObject* code_object;
} __Pyx_CodeObjectCacheEntry;
struct __Pyx_CodeObjectCache {
    int count;
    int max_count;
    __Pyx_CodeObjectCacheEntry* entries;
};
static struct __Pyx_CodeObjectCache __pyx_code_cache = {0,0,NULL};
static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line);
static PyCodeObject *__pyx_find_code_object(int code_line);
static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object);

static void __Pyx_AddTraceback(const char *funcname, int c_line,
                               int py_line, const char *filename);

typedef struct {
  Py_ssize_t shape, strides, suboffsets;
} __Pyx_Buf_DimInfo;
typedef struct {
  size_t refcount;
  Py_buffer pybuffer;
} __Pyx_Buffer;
typedef struct {
  __Pyx_Buffer *rcbuffer;
  char *data;
  __Pyx_Buf_DimInfo diminfo[8];
} __Pyx_LocalBuf_ND;

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


static Py_ssize_t __Pyx_zeros[] = {0, 0, 0, 0, 0, 0, 0, 0};
static Py_ssize_t __Pyx_minusones[] = {-1, -1, -1, -1, -1, -1, -1, -1};

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value);

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value);

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_Py_intptr_t(Py_intptr_t value);

static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *);

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_unsigned_int(unsigned int value);

#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    #define __Pyx_CREAL(z) ((z).real())
    #define __Pyx_CIMAG(z) ((z).imag())
  #else
    #define __Pyx_CREAL(z) (__real__(z))
    #define __Pyx_CIMAG(z) (__imag__(z))
  #endif
#else
    #define __Pyx_CREAL(z) ((z).real)
    #define __Pyx_CIMAG(z) ((z).imag)
#endif
#if (defined(_WIN32) || defined(__clang__)) && defined(__cplusplus) && CYTHON_CCOMPLEX
    #define __Pyx_SET_CREAL(z,x) ((z).real(x))
    #define __Pyx_SET_CIMAG(z,y) ((z).imag(y))
#else
    #define __Pyx_SET_CREAL(z,x) __Pyx_CREAL(z) = (x)
    #define __Pyx_SET_CIMAG(z,y) __Pyx_CIMAG(z) = (y)
#endif

static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float, float);

#if CYTHON_CCOMPLEX
    #define __Pyx_c_eqf(a, b)   ((a)==(b))
    #define __Pyx_c_sumf(a, b)  ((a)+(b))
    #define __Pyx_c_difff(a, b) ((a)-(b))
    #define __Pyx_c_prodf(a, b) ((a)*(b))
    #define __Pyx_c_quotf(a, b) ((a)/(b))
    #define __Pyx_c_negf(a)     (-(a))
  #ifdef __cplusplus
    #define __Pyx_c_is_zerof(z) ((z)==(float)0)
    #define __Pyx_c_conjf(z)    (::std::conj(z))
    #if 1
        #define __Pyx_c_absf(z)     (::std::abs(z))
        #define __Pyx_c_powf(a, b)  (::std::pow(a, b))
    #endif
  #else
    #define __Pyx_c_is_zerof(z) ((z)==0)
    #define __Pyx_c_conjf(z)    (conjf(z))
    #if 1
        #define __Pyx_c_absf(z)     (cabsf(z))
        #define __Pyx_c_powf(a, b)  (cpowf(a, b))
    #endif
 #endif
#else
    static CYTHON_INLINE int __Pyx_c_eqf(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sumf(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_difff(__pyx_t_float_complex, __pyx_t_float_complex);
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static PyTypeObject *__Pyx_ImportType(const char *module_name, const char *class_name, size_t size, int strict);

static int __Pyx_InitStrings(__Pyx_StringTabEntry *t);

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static PyObject *__pyx_memoryview_is_slice(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_obj); /* proto*/
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static PyObject *__pyx_memoryview_setitem_indexed(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index, PyObject *__pyx_v_value); /* proto*/
static PyObject *__pyx_memoryview_convert_item_to_object(struct __pyx_memoryview_obj *__pyx_v_self, char *__pyx_v_itemp); /* proto*/
static PyObject *__pyx_memoryview_assign_item_from_object(struct __pyx_memoryview_obj *__pyx_v_self, char *__pyx_v_itemp, PyObject *__pyx_v_value); /* proto*/
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static void __pyx_f_5scipy_7spatial_5qhull__barycentric_coordinates(int, double *, double *, double *); /*proto*/
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static int __pyx_memoryview_err(PyObject *, char *); /*proto*/
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static void __pyx_memoryview_refcount_copying(__Pyx_memviewslice *, int, int, int); /*proto*/
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static void __pyx_memoryview_refcount_objects_in_slice(char *, Py_ssize_t *, Py_ssize_t *, int, int); /*proto*/
static void __pyx_memoryview_slice_assign_scalar(__Pyx_memviewslice *, int, size_t, void *, int); /*proto*/
static void __pyx_memoryview__slice_assign_scalar(char *, Py_ssize_t *, Py_ssize_t *, int, size_t, void *); /*proto*/
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static char __pyx_k_anorm[] = "anorm";
static char __pyx_k_array[] = "array";
static char __pyx_k_class[] = "__class__";
static char __pyx_k_clear[] = "clear";
static char __pyx_k_close[] = "close";
static char __pyx_k_dtype[] = "dtype";
static char __pyx_k_empty[] = "empty";
static char __pyx_k_error[] = "error";
static char __pyx_k_finfo[] = "finfo";
static char __pyx_k_flags[] = "flags";
static char __pyx_k_idata[] = "idata";
static char __pyx_k_isnan[] = "isnan";
static char __pyx_k_iwork[] = "iwork";
static char __pyx_k_msize[] = "msize";
static char __pyx_k_ndata[] = "ndata";
static char __pyx_k_numpy[] = "numpy";
static char __pyx_k_order[] = "order";
static char __pyx_k_out_2[] = "out_";
static char __pyx_k_qhull[] = "qhull ";
static char __pyx_k_range[] = "range";
static char __pyx_k_rcond[] = "rcond";
static char __pyx_k_shape[] = "shape";
static char __pyx_k_split[] = "split";
static char __pyx_k_start[] = "start";
static char __pyx_k_uint8[] = "uint8";
static char __pyx_k_zeros[] = "zeros";
static char __pyx_k_astype[] = "astype";
static char __pyx_k_double[] = "double";
static char __pyx_k_encode[] = "encode";
static char __pyx_k_format[] = "format";
static char __pyx_k_import[] = "__import__";
static char __pyx_k_module[] = "__module__";
static char __pyx_k_name_2[] = "__name__";
static char __pyx_k_object[] = "object";
static char __pyx_k_points[] = "points";
static char __pyx_k_prefix[] = "prefix";
static char __pyx_k_remove[] = "remove";
static char __pyx_k_resize[] = "resize";
static char __pyx_k_struct[] = "struct";
static char __pyx_k_tolist[] = "tolist";
static char __pyx_k_unique[] = "unique";
static char __pyx_k_unpack[] = "unpack";
static char __pyx_k_update[] = "_update";
static char __pyx_k_volume[] = "volume";
static char __pyx_k_xrange[] = "xrange";
static char __pyx_k_IOError[] = "IOError";
static char __pyx_k_Voronoi[] = "Voronoi";
static char __pyx_k_asarray[] = "asarray";
static char __pyx_k_asbytes[] = "asbytes";
static char __pyx_k_fortran[] = "fortran";
static char __pyx_k_ivertex[] = "ivertex";
static char __pyx_k_memview[] = "memview";
static char __pyx_k_mkstemp[] = "mkstemp";
static char __pyx_k_npoints[] = "npoints";
static char __pyx_k_options[] = "options";
static char __pyx_k_prepare[] = "__prepare__";
static char __pyx_k_qhull_2[] = "qhull";
static char __pyx_k_qhull_3[] = "_qhull";
static char __pyx_k_regions[] = "regions";
static char __pyx_k_reshape[] = "reshape";
static char __pyx_k_restart[] = "restart";
static char __pyx_k_tsearch[] = "tsearch";
static char __pyx_k_Delaunay[] = "Delaunay";
static char __pyx_k_Ellipsis[] = "Ellipsis";
static char __pyx_k_centroid[] = "centroid";
static char __pyx_k_coplanar[] = "coplanar";
static char __pyx_k_isimplex[] = "isimplex";
static char __pyx_k_itemsize[] = "itemsize";
static char __pyx_k_nsimplex[] = "nsimplex";
static char __pyx_k_property[] = "property";
static char __pyx_k_qualname[] = "__qualname__";
static char __pyx_k_tempfile[] = "tempfile";
static char __pyx_k_tostring[] = "tostring";
static char __pyx_k_update_2[] = "update";
static char __pyx_k_vertices[] = "vertices";
static char __pyx_k_xi_shape[] = "xi_shape";
static char __pyx_k_Exception[] = "Exception";
static char __pyx_k_Qbb_Qc_Qz[] = "Qbb Qc Qz";
static char __pyx_k_QhullUser[] = "_QhullUser";
static char __pyx_k_TypeError[] = "TypeError";
static char __pyx_k_enumerate[] = "enumerate";
static char __pyx_k_eps_broad[] = "eps_broad";
static char __pyx_k_equations[] = "equations";
static char __pyx_k_max_bound[] = "max_bound";
static char __pyx_k_metaclass[] = "__metaclass__";
static char __pyx_k_min_bound[] = "min_bound";
static char __pyx_k_ncoplanar[] = "ncoplanar";
static char __pyx_k_neighbors[] = "neighbors";
static char __pyx_k_qhull_err[] = "qhull-err-";
static char __pyx_k_simplices[] = "simplices";
static char __pyx_k_threading[] = "threading";
static char __pyx_k_transform[] = "_transform";
static char __pyx_k_ConvexHull[] = "ConvexHull";
static char __pyx_k_IndexError[] = "IndexError";
static char __pyx_k_QhullError[] = "QhullError";
static char __pyx_k_ValueError[] = "ValueError";
static char __pyx_k_add_points[] = "add_points";
static char __pyx_k_asanyarray[] = "asanyarray";
static char __pyx_k_bruteforce[] = "bruteforce";
static char __pyx_k_get_points[] = "get_points";
static char __pyx_k_is_missing[] = "is_missing";
static char __pyx_k_pyx_vtable[] = "__pyx_vtable__";
static char __pyx_k_ridge_dict[] = "_ridge_dict";
static char __pyx_k_vertices_2[] = "_vertices";
static char __pyx_k_MemoryError[] = "MemoryError";
static char __pyx_k_concatenate[] = "concatenate";
static char __pyx_k_convex_hull[] = "convex_hull";
static char __pyx_k_incremental[] = "incremental";
static char __pyx_k_is_neighbor[] = "is_neighbor";
static char __pyx_k_lift_points[] = "lift_points";
static char __pyx_k_mode_option[] = "mode_option";
static char __pyx_k_rcond_limit[] = "rcond_limit";
static char __pyx_k_transform_2[] = "transform";
static char __pyx_k_triangulate[] = "triangulate";
static char __pyx_k_volume_area[] = "volume_area";
static char __pyx_k_RuntimeError[] = "RuntimeError";
static char __pyx_k_check_active[] = "check_active";
static char __pyx_k_find_simplex[] = "find_simplex";
static char __pyx_k_numpy_compat[] = "numpy.compat";
static char __pyx_k_point_region[] = "point_region";
static char __pyx_k_ridge_dict_2[] = "ridge_dict";
static char __pyx_k_ridge_points[] = "ridge_points";
static char __pyx_k_Qbb_Qc_Qz_Q12[] = "Qbb Qc Qz Q12";
static char __pyx_k_furthest_site[] = "furthest_site";
static char __pyx_k_isMaskedArray[] = "isMaskedArray";
static char __pyx_k_pyx_getbuffer[] = "__pyx_getbuffer";
static char __pyx_k_qhull_options[] = "qhull_options";
static char __pyx_k_Voronoi___init[] = "Voronoi.__init__";
static char __pyx_k_plane_distance[] = "plane_distance";
static char __pyx_k_ridge_vertices[] = "ridge_vertices";
static char __pyx_k_Delaunay___init[] = "Delaunay.__init__";
static char __pyx_k_No_points_given[] = "No points given";
static char __pyx_k_QhullUser___del[] = "_QhullUser.__del__";
static char __pyx_k_QhullUser_close[] = "_QhullUser.close";
static char __pyx_k_Voronoi__update[] = "Voronoi._update";
static char __pyx_k_allocate_buffer[] = "allocate_buffer";
static char __pyx_k_dtype_is_object[] = "dtype_is_object";
static char __pyx_k_get_extremes_2d[] = "get_extremes_2d";
static char __pyx_k_Delaunay__update[] = "Delaunay._update";
static char __pyx_k_QhullUser___init[] = "_QhullUser.__init__";
static char __pyx_k_paraboloid_scale[] = "paraboloid_scale";
static char __pyx_k_paraboloid_shift[] = "paraboloid_shift";
static char __pyx_k_required_options[] = "required_options";
static char __pyx_k_ConvexHull___init[] = "ConvexHull.__init__";
static char __pyx_k_QhullUser__update[] = "_QhullUser._update";
static char __pyx_k_ascontiguousarray[] = "ascontiguousarray";
static char __pyx_k_vertex_to_simplex[] = "_vertex_to_simplex";
static char __pyx_k_ConvexHull__update[] = "ConvexHull._update";
static char __pyx_k_Delaunay_transform[] = "Delaunay.transform";
static char __pyx_k_Voronoi_ridge_dict[] = "Voronoi.ridge_dict";
static char __pyx_k_strided_and_direct[] = "<strided and direct>";
static char __pyx_k_ConvexHull_vertices[] = "ConvexHull.vertices";
static char __pyx_k_get_voronoi_diagram[] = "get_voronoi_diagram";
static char __pyx_k_scipy_spatial_qhull[] = "scipy.spatial.qhull";
static char __pyx_k_vertex_to_simplex_2[] = "vertex_to_simplex";
static char __pyx_k_Delaunay_convex_hull[] = "Delaunay.convex_hull";
static char __pyx_k_Delaunay_lift_points[] = "Delaunay.lift_points";
static char __pyx_k_QhullUser_add_points[] = "_QhullUser.add_points";
static char __pyx_k_strided_and_indirect[] = "<strided and indirect>";
static char __pyx_k_Delaunay_find_simplex[] = "Delaunay.find_simplex";
static char __pyx_k_Failed_to_open_file_0[] = "Failed to open file {0}";
static char __pyx_k_contiguous_and_direct[] = "<contiguous and direct>";
static char __pyx_k_getfilesystemencoding[] = "getfilesystemencoding";
static char __pyx_k_MemoryView_of_r_object[] = "<MemoryView of %r object>";
static char __pyx_k_Need_at_least_2_D_data[] = "Need at least 2-D data";
static char __pyx_k_Delaunay_plane_distance[] = "Delaunay.plane_distance";
static char __pyx_k_MemoryView_of_r_at_0x_x[] = "<MemoryView of %r at 0x%x>";
static char __pyx_k_contiguous_and_indirect[] = "<contiguous and indirect>";
static char __pyx_k_get_simplex_facet_array[] = "get_simplex_facet_array";
static char __pyx_k_Cannot_index_with_type_s[] = "Cannot index with type '%s'";
static char __pyx_k_Qhull_instance_is_closed[] = "Qhull instance is closed";
static char __pyx_k_getbuffer_obj_view_flags[] = "getbuffer(obj, view, flags)";
static char __pyx_k_memory_allocation_failed[] = "memory allocation failed";
static char __pyx_k_vertex_neighbor_vertices[] = "_vertex_neighbor_vertices";
static char __pyx_k_Dimension_d_is_not_direct[] = "Dimension %d is not direct";
static char __pyx_k_Invalid_shape_in_axis_d_d[] = "Invalid shape in axis %d: %d.";
static char __pyx_k_Points_cannot_contain_NaN[] = "Points cannot contain NaN";
static char __pyx_k_Delaunay_vertex_to_simplex[] = "Delaunay.vertex_to_simplex";
static char __pyx_k_Index_out_of_bounds_axis_d[] = "Index out of bounds (axis %d)";
static char __pyx_k_get_barycentric_transforms[] = "_get_barycentric_transforms";
static char __pyx_k_get_paraboloid_shift_scale[] = "get_paraboloid_shift_scale";
static char __pyx_k_vertex_neighbor_vertices_2[] = "vertex_neighbor_vertices";
static char __pyx_k_wrong_dimensionality_in_xi[] = "wrong dimensionality in xi";
static char __pyx_k_Cannot_compute_for_Delaunay[] = "Cannot compute for Delaunay";
static char __pyx_k_Step_may_not_be_zero_axis_d[] = "Step may not be zero (axis %d)";
static char __pyx_k_itemsize_0_for_cython_array[] = "itemsize <= 0 for cython.array";
static char __pyx_k_ndarray_is_not_C_contiguous[] = "ndarray is not C contiguous";
static char __pyx_k_unable_to_allocate_array_data[] = "unable to allocate array data.";
static char __pyx_k_strided_and_direct_or_indirect[] = "<strided and direct or indirect>";
static char __pyx_k_ConvexHull_points_incremental_F[] = "\n    ConvexHull(points, incremental=False, qhull_options=None)\n\n    Convex hulls in N dimensions.\n\n    .. versionadded:: 0.12.0\n\n    Parameters\n    ----------\n    points : ndarray of floats, shape (npoints, ndim)\n        Coordinates of points to construct a convex hull from\n    incremental : bool, optional\n        Allow adding new points incrementally. This takes up some additional\n        resources.\n    qhull_options : str, optional\n        Additional options to pass to Qhull. See Qhull manual\n        for details. (Default: \"Qx\" for ndim > 4 and \"\" otherwise)\n        Option \"Qt\" is always enabled.\n\n    Attributes\n    ----------\n    points : ndarray of double, shape (npoints, ndim)\n        Coordinates of input points.\n    vertices : ndarray of ints, shape (nvertices,)\n        Indices of points forming the vertices of the convex hull.\n        For 2-D convex hulls, the vertices are in counterclockwise order.\n        For other dimensions, they are in input order.\n    simplices : ndarray of ints, shape (nfacet, ndim)\n        Indices of points forming the simplical facets of the convex hull.\n    neighbors : ndarray of ints, shape (nfacet, ndim)\n        Indices of neighbor facets for each facet.\n        The kth neighbor is opposite to the kth vertex.\n        -1 denotes no neighbor.\n    equations : ndarray of double, shape (nfacet, ndim+1)\n        [normal, offset] forming the hyperplane equation of the facet\n        (see `Qhull documentation <http://www.qhull.org/>`__  for more).\n    coplanar : ndarray of int, shape (ncoplanar, 3)\n        Indices of coplanar points and the corresponding indices of\n        the nearest facets and nearest vertex indices.  Coplanar\n        points are input points which were *not* included in the\n        triangulation due to numerical precision issues.\n\n        If option \"Qc\" is not specified, this list is not computed.\n    area : float\n        Area of the convex hull\n    volume : float\n    ""    Volume of the convex hull\n\n    Raises\n    ------\n    QhullError\n        Raised when Qhull encounters an error condition, such as\n        geometrical degeneracy when options to resolve are not enabled.\n    ValueError\n        Raised if an incompatible array is given as input.\n\n    Notes\n    -----\n    The convex hull is computed using the \n    `Qhull library <http://www.qhull.org/>`__.\n\n    Examples\n    --------\n\n    Convex hull of a random set of points:\n\n    >>> from scipy.spatial import ConvexHull\n    >>> points = np.random.rand(30, 2)   # 30 random points in 2-D\n    >>> hull = ConvexHull(points)\n\n    Plot it:\n\n    >>> import matplotlib.pyplot as plt\n    >>> plt.plot(points[:,0], points[:,1], 'o')\n    >>> for simplex in hull.simplices:\n    ...     plt.plot(points[simplex, 0], points[simplex, 1], 'k-')\n\n    We could also have directly used the vertices of the hull, which\n    for 2-D are guaranteed to be in counterclockwise order:\n\n    >>> plt.plot(points[hull.vertices,0], points[hull.vertices,1], 'r--', lw=2)\n    >>> plt.plot(points[hull.vertices[0],0], points[hull.vertices[0],1], 'ro')\n    >>> plt.show()\n\n    References\n    ----------\n    .. [Qhull] http://www.qhull.org/\n\n    ";
static char __pyx_k_Delaunay_points_furthest_site_F[] = "\n    Delaunay(points, furthest_site=False, incremental=False, qhull_options=None)\n\n    Delaunay tesselation in N dimensions.\n\n    .. versionadded:: 0.9\n\n    Parameters\n    ----------\n    points : ndarray of floats, shape (npoints, ndim)\n        Coordinates of points to triangulate\n    furthest_site : bool, optional\n        Whether to compute a furthest-site Delaunay triangulation.\n        Default: False\n\n        .. versionadded:: 0.12.0\n    incremental : bool, optional\n        Allow adding new points incrementally. This takes up some additional\n        resources.\n    qhull_options : str, optional\n        Additional options to pass to Qhull. See Qhull manual for\n        details. Option \"Qt\" is always enabled.\n        Default:\"Qbb Qc Qz Qx Q12\" for ndim > 4 and \"Qbb Qc Qz Q12\" otherwise.\n        Incremental mode omits \"Qz\".\n\n        .. versionadded:: 0.12.0\n\n    Attributes\n    ----------\n    points : ndarray of double, shape (npoints, ndim)\n        Coordinates of input points.\n    simplices : ndarray of ints, shape (nsimplex, ndim+1)\n        Indices of the points forming the simplices in the triangulation.\n        For 2-D, the points are oriented counterclockwise.\n    neighbors : ndarray of ints, shape (nsimplex, ndim+1)\n        Indices of neighbor simplices for each simplex.\n        The kth neighbor is opposite to the kth vertex.\n        For simplices at the boundary, -1 denotes no neighbor.\n    equations : ndarray of double, shape (nsimplex, ndim+2)\n        [normal, offset] forming the hyperplane equation of the facet\n        on the paraboloid\n        (see `Qhull documentation <http://www.qhull.org/>`__ for more).\n    paraboloid_scale, paraboloid_shift : float\n        Scale and shift for the extra paraboloid dimension\n        (see `Qhull documentation <http://www.qhull.org/>`__ for more).\n    transform : ndarray of double, shape (nsimplex, ndim+1, ndim)\n        Affine transform from ``x`` to the barycentric coord""inates ``c``.\n        This is defined by::\n\n            T c = x - r\n\n        At vertex ``j``, ``c_j = 1`` and the other coordinates zero.\n\n        For simplex ``i``, ``transform[i,:ndim,:ndim]`` contains\n        inverse of the matrix ``T``, and ``transform[i,ndim,:]``\n        contains the vector ``r``.\n\n        If the simplex is degenerate or nearly degenerate, its\n        barycentric transform contains NaNs.\n    vertex_to_simplex : ndarray of int, shape (npoints,)\n        Lookup array, from a vertex, to some simplex which it is a part of.\n        If qhull option \"Qc\" was not specified, the list will contain -1\n        for points that are not vertices of the tesselation.\n    convex_hull : ndarray of int, shape (nfaces, ndim)\n        Vertices of facets forming the convex hull of the point set.\n        The array contains the indices of the points belonging to\n        the (N-1)-dimensional facets that form the convex hull\n        of the triangulation.\n\n        .. note::\n\n           Computing convex hulls via the Delaunay triangulation is\n           inefficient and subject to increased numerical instability.\n           Use `ConvexHull` instead.\n    coplanar : ndarray of int, shape (ncoplanar, 3)\n        Indices of coplanar points and the corresponding indices of\n        the nearest facet and the nearest vertex.  Coplanar\n        points are input points which were *not* included in the\n        triangulation due to numerical precision issues.\n\n        If option \"Qc\" is not specified, this list is not computed.\n\n        .. versionadded:: 0.12.0\n    vertices\n        Same as `simplices`, but deprecated.\n    vertex_neighbor_vertices : tuple of two ndarrays of int; (indices, indptr)\n        Neighboring vertices of vertices. The indices of neighboring\n        vertices of vertex `k` are ``indptr[indices[k]:indices[k+1]]``.\n\n    Raises\n    ------\n    QhullError\n        Raised when Qhull encounters an error condition, such as\n    ""    geometrical degeneracy when options to resolve are not enabled.\n    ValueError\n        Raised if an incompatible array is given as input.\n\n    Notes\n    -----\n    The tesselation is computed using the Qhull library \n    `Qhull library <http://www.qhull.org/>`__.\n\n    .. note::\n\n       Unless you pass in the Qhull option \"QJ\", Qhull does not\n       guarantee that each input point appears as a vertex in the\n       Delaunay triangulation. Omitted points are listed in the\n       `coplanar` attribute.\n\n    Examples\n    --------\n    Triangulation of a set of points:\n\n    >>> points = np.array([[0, 0], [0, 1.1], [1, 0], [1, 1]])\n    >>> from scipy.spatial import Delaunay\n    >>> tri = Delaunay(points)\n\n    We can plot it:\n\n    >>> import matplotlib.pyplot as plt\n    >>> plt.triplot(points[:,0], points[:,1], tri.simplices.copy())\n    >>> plt.plot(points[:,0], points[:,1], 'o')\n    >>> plt.show()\n\n    Point indices and coordinates for the two triangles forming the\n    triangulation:\n\n    >>> tri.simplices\n    array([[2, 3, 0],                 # may vary\n           [3, 1, 0]], dtype=int32)\n\n    Note that depending on how rounding errors go, the simplices may\n    be in a different order than above.\n\n    >>> points[tri.simplices]\n    array([[[ 1. ,  0. ],            # may vary\n            [ 1. ,  1. ],\n            [ 0. ,  0. ]],\n           [[ 1. ,  1. ],\n            [ 0. ,  1.1],\n            [ 0. ,  0. ]]])\n\n    Triangle 0 is the only neighbor of triangle 1, and it's opposite to\n    vertex 1 of triangle 1:\n\n    >>> tri.neighbors[1]\n    array([-1,  0, -1], dtype=int32)\n    >>> points[tri.simplices[1,1]]\n    array([ 0. ,  1.1])\n\n    We can find out which triangle points are in:\n\n    >>> p = np.array([(0.1, 0.2), (1.5, 0.5)])\n    >>> tri.find_simplex(p)\n    array([ 1, -1], dtype=int32)\n\n    We can also compute barycentric coordinates in triangle 1 for\n    these points:\n\n    >>> b = tri.transform[1,:2].dot(p - ""tri.transform[1,2])\n    >>> np.c_[b, 1 - b.sum(axis=1)]\n    array([[ 0.1       ,  0.2       ,  0.7       ],\n           [ 1.27272727,  0.27272727, -0.54545455]])\n\n    The coordinates for the first point are all positive, meaning it\n    is indeed inside the triangle.\n\n    ";
static char __pyx_k_Input_points_cannot_be_a_masked[] = "Input points cannot be a masked array";
static char __pyx_k_Takes_care_of_basic_dealings_wi[] = "\n    Takes care of basic dealings with the Qhull objects\n    ";
static char __pyx_k_Voronoi_points_furthest_site_Fa[] = "\n    Voronoi(points, furthest_site=False, incremental=False, qhull_options=None)\n\n    Voronoi diagrams in N dimensions.\n\n    .. versionadded:: 0.12.0\n\n    Parameters\n    ----------\n    points : ndarray of floats, shape (npoints, ndim)\n        Coordinates of points to construct a convex hull from\n    furthest_site : bool, optional\n        Whether to compute a furthest-site Voronoi diagram. Default: False\n    incremental : bool, optional\n        Allow adding new points incrementally. This takes up some additional\n        resources.\n    qhull_options : str, optional\n        Additional options to pass to Qhull. See Qhull manual\n        for details. (Default: \"Qbb Qc Qz Qx\" for ndim > 4 and\n        \"Qbb Qc Qz\" otherwise. Incremental mode omits \"Qz\".)\n\n    Attributes\n    ----------\n    points : ndarray of double, shape (npoints, ndim)\n        Coordinates of input points.\n    vertices : ndarray of double, shape (nvertices, ndim)\n        Coordinates of the Voronoi vertices.\n    ridge_points : ndarray of ints, shape ``(nridges, 2)``\n        Indices of the points between which each Voronoi ridge lies.\n    ridge_vertices : list of list of ints, shape ``(nridges, *)``\n        Indices of the Voronoi vertices forming each Voronoi ridge.\n    regions : list of list of ints, shape ``(nregions, *)``\n        Indices of the Voronoi vertices forming each Voronoi region.\n        -1 indicates vertex outside the Voronoi diagram.\n    point_region : list of ints, shape (npoints)\n        Index of the Voronoi region for each input point.\n        If qhull option \"Qc\" was not specified, the list will contain -1\n        for points that are not associated with a Voronoi region.\n\n    Raises\n    ------\n    QhullError\n        Raised when Qhull encounters an error condition, such as\n        geometrical degeneracy when options to resolve are not enabled.\n    ValueError\n        Raised if an incompatible array is given as input.\n\n    Notes\n    -----""\n    The Voronoi diagram is computed using the \n    `Qhull library <http://www.qhull.org/>`__.\n\n    Examples\n    --------\n    Voronoi diagram for a set of point:\n\n    >>> points = np.array([[0, 0], [0, 1], [0, 2], [1, 0], [1, 1], [1, 2],\n    ...                    [2, 0], [2, 1], [2, 2]])\n    >>> from scipy.spatial import Voronoi, voronoi_plot_2d\n    >>> vor = Voronoi(points)\n\n    Plot it:\n\n    >>> import matplotlib.pyplot as plt\n    >>> voronoi_plot_2d(vor)\n    >>> plt.show()\n\n    The Voronoi vertices:\n\n    >>> vor.vertices\n    array([[ 0.5,  0.5],\n           [ 1.5,  0.5],\n           [ 0.5,  1.5],\n           [ 1.5,  1.5]])\n\n    There is a single finite Voronoi region, and four finite Voronoi\n    ridges:\n\n    >>> vor.regions\n    [[], [-1, 0], [-1, 1], [1, -1, 0], [3, -1, 2], [-1, 3], [-1, 2], [3, 2, 0, 1], [2, -1, 0], [3, -1, 1]]\n    >>> vor.ridge_vertices\n    [[-1, 0], [-1, 0], [-1, 1], [-1, 1], [0, 1], [-1, 3], [-1, 2], [2, 3], [-1, 3], [-1, 2], [0, 2], [1, 3]]\n\n    The ridges are perpendicular between lines drawn between the following\n    input points:\n\n    >>> vor.ridge_points\n    array([[0, 1],\n           [0, 3],\n           [6, 3],\n           [6, 7],\n           [3, 4],\n           [5, 8],\n           [5, 2],\n           [5, 4],\n           [8, 7],\n           [2, 1],\n           [4, 1],\n           [4, 7]], dtype=int32)\n\n    ";
static char __pyx_k_Wrappers_for_Qhull_triangulatio[] = "\nWrappers for Qhull triangulation, plus some additional N-D geometry utilities\n\n.. versionadded:: 0.9\n\n";
static char __pyx_k_home_br_repos_scipy_scipy_spati[] = "/home/br/repos/scipy/scipy/spatial/qhull.pyx";
static char __pyx_k_incremental_mode_not_enabled_or[] = "incremental mode not enabled or already closed";
static char __pyx_k_non_simplical_facet_encountered[] = "non-simplical facet encountered: %r vertices";
static char __pyx_k_unknown_dtype_code_in_numpy_pxd[] = "unknown dtype code in numpy.pxd (%d)";
static char __pyx_k_xi_has_different_dimensionality[] = "xi has different dimensionality than triangulation";
static char __pyx_k_All_dimensions_preceding_dimensi[] = "All dimensions preceding dimension %d must be indexed and not sliced";
static char __pyx_k_Buffer_view_does_not_expose_stri[] = "Buffer view does not expose strides";
static char __pyx_k_Can_only_create_a_buffer_that_is[] = "Can only create a buffer that is contiguous in memory.";
static char __pyx_k_Cannot_transpose_memoryview_with[] = "Cannot transpose memoryview with indirect dimensions";
static char __pyx_k_Delaunay_vertex_neighbor_vertice[] = "Delaunay.vertex_neighbor_vertices";
static char __pyx_k_Empty_shape_tuple_for_cython_arr[] = "Empty shape tuple for cython.array";
static char __pyx_k_Format_string_allocated_too_shor[] = "Format string allocated too short, see comment in numpy.pxd";
static char __pyx_k_Indirect_dimensions_not_supporte[] = "Indirect dimensions not supported";
static char __pyx_k_Invalid_mode_expected_c_or_fortr[] = "Invalid mode, expected 'c' or 'fortran', got %s";
static char __pyx_k_Non_native_byte_order_not_suppor[] = "Non-native byte order not supported";
static char __pyx_k_Out_of_bounds_on_buffer_access_a[] = "Out of bounds on buffer access (axis %d)";
static char __pyx_k_Qhull_internal_error_loop_in_fac[] = "Qhull internal error: loop in facet list";
static char __pyx_k_Qhull_options_r_are_incompatible[] = "Qhull options %r are incompatible with incremental mode";
static char __pyx_k_Unable_to_convert_item_to_object[] = "Unable to convert item to object";
static char __pyx_k_got_differing_extents_in_dimensi[] = "got differing extents in dimension %d (got %d and %d)";
static char __pyx_k_invalid_size_for_new_points_arra[] = "invalid size for new points array";
static char __pyx_k_ndarray_is_not_Fortran_contiguou[] = "ndarray is not Fortran contiguous";
static char __pyx_k_qhull_did_not_free_d_bytes_d_pie[] = "qhull: did not free %d bytes (%d pieces)";
static char __pyx_k_unable_to_allocate_shape_and_str[] = "unable to allocate shape and strides.";
static char __pyx_k_Format_string_allocated_too_shor_2[] = "Format string allocated too short.";
static PyObject *__pyx_kp_b_;
static PyObject *__pyx_kp_s_;
static PyObject *__pyx_n_s_ASCII;
static PyObject *__pyx_kp_s_Buffer_view_does_not_expose_stri;
static PyObject *__pyx_n_s_C;
static PyObject *__pyx_kp_s_Can_only_create_a_buffer_that_is;
static PyObject *__pyx_kp_s_Cannot_compute_for_Delaunay;
static PyObject *__pyx_kp_s_Cannot_index_with_type_s;
static PyObject *__pyx_n_s_ConvexHull;
static PyObject *__pyx_n_s_ConvexHull___init;
static PyObject *__pyx_n_s_ConvexHull__update;
static PyObject *__pyx_kp_s_ConvexHull_points_incremental_F;
static PyObject *__pyx_n_s_ConvexHull_vertices;
static PyObject *__pyx_n_s_Delaunay;
static PyObject *__pyx_n_s_Delaunay___init;
static PyObject *__pyx_n_s_Delaunay__update;
static PyObject *__pyx_n_s_Delaunay_convex_hull;
static PyObject *__pyx_n_s_Delaunay_find_simplex;
static PyObject *__pyx_n_s_Delaunay_lift_points;
static PyObject *__pyx_n_s_Delaunay_plane_distance;
static PyObject *__pyx_kp_s_Delaunay_points_furthest_site_F;
static PyObject *__pyx_n_s_Delaunay_transform;
static PyObject *__pyx_n_s_Delaunay_vertex_neighbor_vertice;
static PyObject *__pyx_n_s_Delaunay_vertex_to_simplex;
static PyObject *__pyx_n_s_Ellipsis;
static PyObject *__pyx_kp_s_Empty_shape_tuple_for_cython_arr;
static PyObject *__pyx_n_s_Exception;
static PyObject *__pyx_kp_s_Failed_to_open_file_0;
static PyObject *__pyx_kp_u_Format_string_allocated_too_shor;
static PyObject *__pyx_kp_u_Format_string_allocated_too_shor_2;
static PyObject *__pyx_n_s_IOError;
static PyObject *__pyx_n_s_IndexError;
static PyObject *__pyx_kp_s_Indirect_dimensions_not_supporte;
static PyObject *__pyx_kp_s_Input_points_cannot_be_a_masked;
static PyObject *__pyx_kp_s_Invalid_mode_expected_c_or_fortr;
static PyObject *__pyx_kp_s_Invalid_shape_in_axis_d_d;
static PyObject *__pyx_n_s_MemoryError;
static PyObject *__pyx_kp_s_MemoryView_of_r_at_0x_x;
static PyObject *__pyx_kp_s_MemoryView_of_r_object;
static PyObject *__pyx_kp_s_Need_at_least_2_D_data;
static PyObject *__pyx_kp_s_No_points_given;
static PyObject *__pyx_kp_u_Non_native_byte_order_not_suppor;
static PyObject *__pyx_n_b_O;
static PyObject *__pyx_kp_s_Out_of_bounds_on_buffer_access_a;
static PyObject *__pyx_kp_s_Points_cannot_contain_NaN;
static PyObject *__pyx_n_b_Q11;
static PyObject *__pyx_n_b_QBk;
static PyObject *__pyx_n_b_QJ;
static PyObject *__pyx_n_b_QbB;
static PyObject *__pyx_n_b_Qbb;
static PyObject *__pyx_kp_b_Qbb_Qc_Qz;
static PyObject *__pyx_kp_b_Qbb_Qc_Qz_Q12;
static PyObject *__pyx_n_b_Qbk;
static PyObject *__pyx_n_b_Qc;
static PyObject *__pyx_n_s_QhullError;
static PyObject *__pyx_n_s_QhullUser;
static PyObject *__pyx_n_s_QhullUser___del;
static PyObject *__pyx_n_s_QhullUser___init;
static PyObject *__pyx_n_s_QhullUser__update;
static PyObject *__pyx_n_s_QhullUser_add_points;
static PyObject *__pyx_n_s_QhullUser_close;
static PyObject *__pyx_kp_s_Qhull_instance_is_closed;
static PyObject *__pyx_kp_s_Qhull_internal_error_loop_in_fac;
static PyObject *__pyx_kp_s_Qhull_options_r_are_incompatible;
static PyObject *__pyx_n_b_Qt;
static PyObject *__pyx_n_b_Qu;
static PyObject *__pyx_kp_b_Qx;
static PyObject *__pyx_n_b_Qx_2;
static PyObject *__pyx_n_b_Qz;
static PyObject *__pyx_n_s_RuntimeError;
static PyObject *__pyx_n_s_T;
static PyObject *__pyx_kp_s_Takes_care_of_basic_dealings_wi;
static PyObject *__pyx_n_s_Tinvs;
static PyObject *__pyx_n_s_TypeError;
static PyObject *__pyx_kp_s_Unable_to_convert_item_to_object;
static PyObject *__pyx_n_s_ValueError;
static PyObject *__pyx_n_s_Voronoi;
static PyObject *__pyx_n_s_Voronoi___init;
static PyObject *__pyx_n_s_Voronoi__update;
static PyObject *__pyx_kp_s_Voronoi_points_furthest_site_Fa;
static PyObject *__pyx_n_s_Voronoi_ridge_dict;
static PyObject *__pyx_kp_b__7;
static PyObject *__pyx_n_s_add_points;
static PyObject *__pyx_n_s_all;
static PyObject *__pyx_n_s_allocate_buffer;
static PyObject *__pyx_n_s_anorm;
static PyObject *__pyx_n_s_any;
static PyObject *__pyx_n_s_area;
static PyObject *__pyx_n_s_arr;
static PyObject *__pyx_n_s_array;
static PyObject *__pyx_n_s_asanyarray;
static PyObject *__pyx_n_s_asarray;
static PyObject *__pyx_n_s_asbytes;
static PyObject *__pyx_n_s_ascontiguousarray;
static PyObject *__pyx_n_s_astype;
static PyObject *__pyx_n_s_axis;
static PyObject *__pyx_n_s_base;
static PyObject *__pyx_n_s_bruteforce;
static PyObject *__pyx_n_s_c;
static PyObject *__pyx_n_u_c;
static PyObject *__pyx_n_s_centroid;
static PyObject *__pyx_n_s_check_active;
static PyObject *__pyx_n_s_class;
static PyObject *__pyx_n_s_clear;
static PyObject *__pyx_n_s_close;
static PyObject *__pyx_n_s_concatenate;
static PyObject *__pyx_kp_s_contiguous_and_direct;
static PyObject *__pyx_kp_s_contiguous_and_indirect;
static PyObject *__pyx_n_s_convex_hull;
static PyObject *__pyx_n_s_coplanar;
static PyObject *__pyx_n_s_copy;
static PyObject *__pyx_n_b_d;
static PyObject *__pyx_n_s_del;
static PyObject *__pyx_n_s_det;
static PyObject *__pyx_n_s_doc;
static PyObject *__pyx_n_s_double;
static PyObject *__pyx_n_s_dtype;
static PyObject *__pyx_n_s_dtype_is_object;
static PyObject *__pyx_n_s_empty;
static PyObject *__pyx_n_s_encode;
static PyObject *__pyx_n_s_enumerate;
static PyObject *__pyx_n_s_eps;
static PyObject *__pyx_n_s_eps_broad;
static PyObject *__pyx_n_s_equations;
static PyObject *__pyx_n_s_error;
static PyObject *__pyx_n_s_fill;
static PyObject *__pyx_n_s_find_simplex;
static PyObject *__pyx_n_s_finfo;
static PyObject *__pyx_n_s_flags;
static PyObject *__pyx_n_s_format;
static PyObject *__pyx_n_s_fortran;
static PyObject *__pyx_n_u_fortran;
static PyObject *__pyx_n_s_furthest_site;
static PyObject *__pyx_n_s_get;
static PyObject *__pyx_n_s_get_barycentric_transforms;
static PyObject *__pyx_n_s_get_extremes_2d;
static PyObject *__pyx_n_s_get_paraboloid_shift_scale;
static PyObject *__pyx_n_s_get_points;
static PyObject *__pyx_n_s_get_simplex_facet_array;
static PyObject *__pyx_n_s_get_voronoi_diagram;
static PyObject *__pyx_n_s_getfilesystemencoding;
static PyObject *__pyx_kp_s_got_differing_extents_in_dimensi;
static PyObject *__pyx_kp_s_home_br_repos_scipy_scipy_spati;
static PyObject *__pyx_n_b_i;
static PyObject *__pyx_n_s_i;
static PyObject *__pyx_n_s_id;
static PyObject *__pyx_n_s_idata;
static PyObject *__pyx_n_s_import;
static PyObject *__pyx_n_s_incremental;
static PyObject *__pyx_kp_s_incremental_mode_not_enabled_or;
static PyObject *__pyx_n_s_info;
static PyObject *__pyx_n_s_init;
static PyObject *__pyx_n_s_intc;
static PyObject *__pyx_n_s_intp;
static PyObject *__pyx_kp_s_invalid_size_for_new_points_arra;
static PyObject *__pyx_n_s_ipiv;
static PyObject *__pyx_n_s_isMaskedArray;
static PyObject *__pyx_n_s_is_missing;
static PyObject *__pyx_n_s_is_neighbor;
static PyObject *__pyx_n_s_isimplex;
static PyObject *__pyx_n_s_isnan;
static PyObject *__pyx_n_s_itemsize;
static PyObject *__pyx_kp_s_itemsize_0_for_cython_array;
static PyObject *__pyx_n_s_ivertex;
static PyObject *__pyx_n_s_iwork;
static PyObject *__pyx_n_s_j;
static PyObject *__pyx_n_s_join;
static PyObject *__pyx_n_s_k;
static PyObject *__pyx_n_s_lda;
static PyObject *__pyx_n_s_ldb;
static PyObject *__pyx_n_s_lift_points;
static PyObject *__pyx_n_s_m;
static PyObject *__pyx_n_s_ma;
static PyObject *__pyx_n_s_main;
static PyObject *__pyx_n_s_map;
static PyObject *__pyx_n_s_max;
static PyObject *__pyx_n_s_max_bound;
static PyObject *__pyx_kp_s_memory_allocation_failed;
static PyObject *__pyx_n_s_memview;
static PyObject *__pyx_n_s_metaclass;
static PyObject *__pyx_n_s_min;
static PyObject *__pyx_n_s_min_bound;
static PyObject *__pyx_n_s_mkstemp;
static PyObject *__pyx_n_s_mode;
static PyObject *__pyx_n_s_mode_option;
static PyObject *__pyx_n_s_module;
static PyObject *__pyx_n_s_msize;
static PyObject *__pyx_n_s_n;
static PyObject *__pyx_n_s_name;
static PyObject *__pyx_n_s_name_2;
static PyObject *__pyx_n_s_ncoplanar;
static PyObject *__pyx_kp_u_ndarray_is_not_C_contiguous;
static PyObject *__pyx_kp_u_ndarray_is_not_Fortran_contiguou;
static PyObject *__pyx_n_s_ndata;
static PyObject *__pyx_n_s_ndim;
static PyObject *__pyx_n_s_neighbors;
static PyObject *__pyx_kp_s_non_simplical_facet_encountered;
static PyObject *__pyx_n_s_np;
static PyObject *__pyx_n_s_npoints;
static PyObject *__pyx_n_s_nrhs;
static PyObject *__pyx_n_s_nsimplex;
static PyObject *__pyx_n_s_numpy;
static PyObject *__pyx_n_s_numpy_compat;
static PyObject *__pyx_n_s_obj;
static PyObject *__pyx_n_s_object;
static PyObject *__pyx_n_s_options;
static PyObject *__pyx_n_s_order;
static PyObject *__pyx_n_s_os;
static PyObject *__pyx_n_s_out;
static PyObject *__pyx_n_s_out_2;
static PyObject *__pyx_n_s_pack;
static PyObject *__pyx_n_s_paraboloid_scale;
static PyObject *__pyx_n_s_paraboloid_shift;
static PyObject *__pyx_n_s_plane_distance;
static PyObject *__pyx_n_s_point_region;
static PyObject *__pyx_n_s_points;
static PyObject *__pyx_n_s_prefix;
static PyObject *__pyx_n_s_prepare;
static PyObject *__pyx_n_s_property;
static PyObject *__pyx_n_s_pyx_getbuffer;
static PyObject *__pyx_n_s_pyx_vtable;
static PyObject *__pyx_kp_b_qhull;
static PyObject *__pyx_n_s_qhull_2;
static PyObject *__pyx_n_s_qhull_3;
static PyObject *__pyx_kp_s_qhull_did_not_free_d_bytes_d_pie;
static PyObject *__pyx_kp_s_qhull_err;
static PyObject *__pyx_n_s_qhull_options;
static PyObject *__pyx_n_s_qualname;
static PyObject *__pyx_n_s_range;
static PyObject *__pyx_n_s_rcond;
static PyObject *__pyx_n_s_rcond_limit;
static PyObject *__pyx_n_s_regions;
static PyObject *__pyx_n_s_remove;
static PyObject *__pyx_n_s_required_options;
static PyObject *__pyx_n_s_reshape;
static PyObject *__pyx_n_s_resize;
static PyObject *__pyx_n_s_restart;
static PyObject *__pyx_n_s_ridge_dict;
static PyObject *__pyx_n_s_ridge_dict_2;
static PyObject *__pyx_n_s_ridge_points;
static PyObject *__pyx_n_s_ridge_vertices;
static PyObject *__pyx_n_s_scipy_spatial_qhull;
static PyObject *__pyx_n_s_self;
static PyObject *__pyx_n_s_sets;
static PyObject *__pyx_n_s_shape;
static PyObject *__pyx_n_s_simplices;
static PyObject *__pyx_n_s_size;
static PyObject *__pyx_n_s_split;
static PyObject *__pyx_n_s_start;
static PyObject *__pyx_n_s_step;
static PyObject *__pyx_n_s_stop;
static PyObject *__pyx_kp_s_strided_and_direct;
static PyObject *__pyx_kp_s_strided_and_direct_or_indirect;
static PyObject *__pyx_kp_s_strided_and_indirect;
static PyObject *__pyx_n_s_struct;
static PyObject *__pyx_n_s_sum;
static PyObject *__pyx_n_s_sys;
static PyObject *__pyx_n_s_tempfile;
static PyObject *__pyx_n_s_test;
static PyObject *__pyx_n_s_threading;
static PyObject *__pyx_n_s_tol;
static PyObject *__pyx_n_s_tolist;
static PyObject *__pyx_n_s_tostring;
static PyObject *__pyx_n_s_transform;
static PyObject *__pyx_n_s_transform_2;
static PyObject *__pyx_n_s_tri;
static PyObject *__pyx_n_s_triangulate;
static PyObject *__pyx_n_s_tsearch;
static PyObject *__pyx_n_s_uint8;
static PyObject *__pyx_kp_s_unable_to_allocate_array_data;
static PyObject *__pyx_kp_s_unable_to_allocate_shape_and_str;
static PyObject *__pyx_n_s_unique;
static PyObject *__pyx_kp_u_unknown_dtype_code_in_numpy_pxd;
static PyObject *__pyx_n_s_unpack;
static PyObject *__pyx_n_s_update;
static PyObject *__pyx_n_s_update_2;
static PyObject *__pyx_n_b_v;
static PyObject *__pyx_n_s_vertex_neighbor_vertices;
static PyObject *__pyx_n_s_vertex_neighbor_vertices_2;
static PyObject *__pyx_n_s_vertex_to_simplex;
static PyObject *__pyx_n_s_vertex_to_simplex_2;
static PyObject *__pyx_n_s_vertices;
static PyObject *__pyx_n_s_vertices_2;
static PyObject *__pyx_n_s_volume;
static PyObject *__pyx_n_s_volume_area;
static PyObject *__pyx_n_s_work;
static PyObject *__pyx_kp_s_wrong_dimensionality_in_xi;
static PyObject *__pyx_n_s_x;
static PyObject *__pyx_n_s_x1;
static PyObject *__pyx_n_s_x2;
static PyObject *__pyx_n_s_x3;
static PyObject *__pyx_n_s_xi;
static PyObject *__pyx_kp_s_xi_has_different_dimensionality;
static PyObject *__pyx_n_s_xi_shape;
static PyObject *__pyx_n_s_xrange;
static PyObject *__pyx_n_s_y1;
static PyObject *__pyx_n_s_y2;
static PyObject *__pyx_n_s_y3;
static PyObject *__pyx_n_s_z;
static PyObject *__pyx_n_s_zeros;
static PyObject *__pyx_n_s_zip;
static int __pyx_pf_5scipy_7spatial_5qhull_19_QhullMessageStream___init__(struct __pyx_obj_5scipy_7spatial_5qhull__QhullMessageStream *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_19_QhullMessageStream_2__del__(struct __pyx_obj_5scipy_7spatial_5qhull__QhullMessageStream *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_19_QhullMessageStream_4get(struct __pyx_obj_5scipy_7spatial_5qhull__QhullMessageStream *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_19_QhullMessageStream_6clear(struct __pyx_obj_5scipy_7spatial_5qhull__QhullMessageStream *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_19_QhullMessageStream_8close(struct __pyx_obj_5scipy_7spatial_5qhull__QhullMessageStream *__pyx_v_self); /* proto */
static int __pyx_pf_5scipy_7spatial_5qhull_6_Qhull___init__(struct __pyx_obj_5scipy_7spatial_5qhull__Qhull *__pyx_v_self, PyObject *__pyx_v_mode_option, PyArrayObject *__pyx_v_points, PyObject *__pyx_v_options, PyObject *__pyx_v_required_options, PyObject *__pyx_v_furthest_site, PyObject *__pyx_v_incremental); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_6_Qhull_2__del__(struct __pyx_obj_5scipy_7spatial_5qhull__Qhull *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_6_Qhull_4check_active(struct __pyx_obj_5scipy_7spatial_5qhull__Qhull *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_6_Qhull_6close(struct __pyx_obj_5scipy_7spatial_5qhull__Qhull *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_6_Qhull_8get_points(struct __pyx_obj_5scipy_7spatial_5qhull__Qhull *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_6_Qhull_10add_points(struct __pyx_obj_5scipy_7spatial_5qhull__Qhull *__pyx_v_self, PyObject *__pyx_v_points); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_6_Qhull_12get_paraboloid_shift_scale(struct __pyx_obj_5scipy_7spatial_5qhull__Qhull *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_6_Qhull_14volume_area(struct __pyx_obj_5scipy_7spatial_5qhull__Qhull *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_6_Qhull_16triangulate(struct __pyx_obj_5scipy_7spatial_5qhull__Qhull *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_6_Qhull_18get_simplex_facet_array(struct __pyx_obj_5scipy_7spatial_5qhull__Qhull *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_6_Qhull_20get_voronoi_diagram(struct __pyx_obj_5scipy_7spatial_5qhull__Qhull *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_6_Qhull_22get_extremes_2d(struct __pyx_obj_5scipy_7spatial_5qhull__Qhull *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_6_Qhull_7options___get__(struct __pyx_obj_5scipy_7spatial_5qhull__Qhull *__pyx_v_self); /* proto */
static int __pyx_pf_5scipy_7spatial_5qhull_6_Qhull_7options_2__set__(struct __pyx_obj_5scipy_7spatial_5qhull__Qhull *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_5scipy_7spatial_5qhull_6_Qhull_7options_4__del__(struct __pyx_obj_5scipy_7spatial_5qhull__Qhull *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_6_Qhull_11mode_option___get__(struct __pyx_obj_5scipy_7spatial_5qhull__Qhull *__pyx_v_self); /* proto */
static int __pyx_pf_5scipy_7spatial_5qhull_6_Qhull_11mode_option_2__set__(struct __pyx_obj_5scipy_7spatial_5qhull__Qhull *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_5scipy_7spatial_5qhull_6_Qhull_11mode_option_4__del__(struct __pyx_obj_5scipy_7spatial_5qhull__Qhull *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_6_Qhull_13furthest_site___get__(struct __pyx_obj_5scipy_7spatial_5qhull__Qhull *__pyx_v_self); /* proto */
static int __pyx_pf_5scipy_7spatial_5qhull_6_Qhull_13furthest_site_2__set__(struct __pyx_obj_5scipy_7spatial_5qhull__Qhull *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_5scipy_7spatial_5qhull_6_Qhull_13furthest_site_4__del__(struct __pyx_obj_5scipy_7spatial_5qhull__Qhull *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_6_Qhull_4ndim___get__(struct __pyx_obj_5scipy_7spatial_5qhull__Qhull *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull__get_barycentric_transforms(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_points, PyArrayObject *__pyx_v_simplices, double __pyx_v_eps); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_10_QhullUser___init__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_qhull, PyObject *__pyx_v_incremental); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_10_QhullUser_2close(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_10_QhullUser_4__del__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_10_QhullUser_6_update(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_qhull); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_10_QhullUser_8add_points(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_points, PyObject *__pyx_v_restart); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_8Delaunay___init__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_points, PyObject *__pyx_v_furthest_site, PyObject *__pyx_v_incremental, PyObject *__pyx_v_qhull_options); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_8Delaunay_2_update(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_qhull); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_8Delaunay_4transform(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_8Delaunay_6vertex_to_simplex(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_8Delaunay_8vertex_neighbor_vertices(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_8Delaunay_10convex_hull(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_8Delaunay_12find_simplex(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_xi, PyObject *__pyx_v_bruteforce, PyObject *__pyx_v_tol); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_8Delaunay_14plane_distance(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_xi); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_8Delaunay_16lift_points(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_x); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_2tsearch(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_tri, PyObject *__pyx_v_xi); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_10ConvexHull___init__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_points, PyObject *__pyx_v_incremental, PyObject *__pyx_v_qhull_options); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_10ConvexHull_2_update(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_qhull); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_10ConvexHull_4vertices(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_7Voronoi___init__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_points, PyObject *__pyx_v_furthest_site, PyObject *__pyx_v_incremental, PyObject *__pyx_v_qhull_options); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_7Voronoi_2_update(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_qhull); /* proto */
static PyObject *__pyx_pf_5scipy_7spatial_5qhull_7Voronoi_4ridge_dict(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static int __pyx_pf_5numpy_7ndarray___getbuffer__(PyArrayObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */
static void __pyx_pf_5numpy_7ndarray_2__releasebuffer__(PyArrayObject *__pyx_v_self, Py_buffer *__pyx_v_info); /* proto */
static int __pyx_array___pyx_pf_15View_dot_MemoryView_5array___cinit__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_shape, Py_ssize_t __pyx_v_itemsize, PyObject *__pyx_v_format, PyObject *__pyx_v_mode, int __pyx_v_allocate_buffer); /* proto */
static int __pyx_array___pyx_pf_15View_dot_MemoryView_5array_2__getbuffer__(struct __pyx_array_obj *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */
static void __pyx_array___pyx_pf_15View_dot_MemoryView_5array_4__dealloc__(struct __pyx_array_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_5array_7memview___get__(struct __pyx_array_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_array___pyx_pf_15View_dot_MemoryView_5array_6__getattr__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_attr); /* proto */
static PyObject *__pyx_array___pyx_pf_15View_dot_MemoryView_5array_8__getitem__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_item); /* proto */
static int __pyx_array___pyx_pf_15View_dot_MemoryView_5array_10__setitem__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_item, PyObject *__pyx_v_value); /* proto */
static int __pyx_MemviewEnum___pyx_pf_15View_dot_MemoryView_4Enum___init__(struct __pyx_MemviewEnum_obj *__pyx_v_self, PyObject *__pyx_v_name); /* proto */
static PyObject *__pyx_MemviewEnum___pyx_pf_15View_dot_MemoryView_4Enum_2__repr__(struct __pyx_MemviewEnum_obj *__pyx_v_self); /* proto */
static int __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview___cinit__(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_obj, int __pyx_v_flags, int __pyx_v_dtype_is_object); /* proto */
static void __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_2__dealloc__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_4__getitem__(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index); /* proto */
static int __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_6__setitem__(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index, PyObject *__pyx_v_value); /* proto */
static int __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_8__getbuffer__(struct __pyx_memoryview_obj *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_1T___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_4base___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_5shape___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_7strides___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_10suboffsets___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_4ndim___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_8itemsize___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_6nbytes___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_4size___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static Py_ssize_t __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_10__len__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_12__repr__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_14__str__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_16is_c_contig(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_18is_f_contig(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_20copy(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_22copy_fortran(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static void __pyx_memoryviewslice___pyx_pf_15View_dot_MemoryView_16_memoryviewslice___dealloc__(struct __pyx_memoryviewslice_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_16_memoryviewslice_4base___get__(struct __pyx_memoryviewslice_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_tp_new_5scipy_7spatial_5qhull__QhullMessageStream(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_5scipy_7spatial_5qhull__Qhull(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_array(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_Enum(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_memoryview(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new__memoryviewslice(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
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 *             facet = self._qh[0].facet_list             # <<<<<<<<<<<<<<
 *             j = 0
 *             while facet and facet.next:
 */
        __pyx_t_14 = (__pyx_v_self->_qh[0]).facet_list;
        __pyx_v_facet = __pyx_t_14;

        /* "scipy/spatial/qhull.pyx":636
 *         with nogil:
 *             facet = self._qh[0].facet_list
 *             j = 0             # <<<<<<<<<<<<<<
 *             while facet and facet.next:
 *                 if self._is_delaunay and facet.upperdelaunay != self._qh[0].UPPERdelaunay:
 */
        __pyx_v_j = 0;

        /* "scipy/spatial/qhull.pyx":637
 *             facet = self._qh[0].facet_list
 *             j = 0
 *             while facet and facet.next:             # <<<<<<<<<<<<<<
 *                 if self._is_delaunay and facet.upperdelaunay != self._qh[0].UPPERdelaunay:
 *                     facet = facet.next
 */
        while (1) {
          __pyx_t_15 = (__pyx_v_facet != 0);
          if (__pyx_t_15) {
          } else {
            __pyx_t_5 = __pyx_t_15;
            goto __pyx_L30_bool_binop_done;
          }
          __pyx_t_15 = (__pyx_v_facet->next != 0);
          __pyx_t_5 = __pyx_t_15;
          __pyx_L30_bool_binop_done:;
          if (!__pyx_t_5) break;

          /* "scipy/spatial/qhull.pyx":638
 *             j = 0
 *             while facet and facet.next:
 *                 if self._is_delaunay and facet.upperdelaunay != self._qh[0].UPPERdelaunay:             # <<<<<<<<<<<<<<
 *                     facet = facet.next
 *                     continue
 */
          __pyx_t_15 = (__pyx_v_self->_is_delaunay != 0);
          if (__pyx_t_15) {
          } else {
            __pyx_t_5 = __pyx_t_15;
            goto __pyx_L33_bool_binop_done;
          }
          __pyx_t_15 = ((__pyx_v_facet->upperdelaunay != (__pyx_v_self->_qh[0]).UPPERdelaunay) != 0);
          __pyx_t_5 = __pyx_t_15;
          __pyx_L33_bool_binop_done:;
          if (__pyx_t_5) {

            /* "scipy/spatial/qhull.pyx":639
 *             while facet and facet.next:
 *                 if self._is_delaunay and facet.upperdelaunay != self._qh[0].UPPERdelaunay:
 *                     facet = facet.next             # <<<<<<<<<<<<<<
 *                     continue
 * 
 */
            __pyx_t_14 = __pyx_v_facet->next;
            __pyx_v_facet = __pyx_t_14;

            /* "scipy/spatial/qhull.pyx":640
 *                 if self._is_delaunay and facet.upperdelaunay != self._qh[0].UPPERdelaunay:
 *                     facet = facet.next
 *                     continue             # <<<<<<<<<<<<<<
 * 
 *                 # Use a lower bound so that the tight loop in high dimensions
 */
            goto __pyx_L28_continue;

            /* "scipy/spatial/qhull.pyx":638
 *             j = 0
 *             while facet and facet.next:
 *                 if self._is_delaunay and facet.upperdelaunay != self._qh[0].UPPERdelaunay:             # <<<<<<<<<<<<<<
 *                     facet = facet.next
 *                     continue
 */
          }

          /* "scipy/spatial/qhull.pyx":644
 *                 # Use a lower bound so that the tight loop in high dimensions
 *                 # is not affected by the conditional below
 *                 lower_bound = 0             # <<<<<<<<<<<<<<
 *                 if (self._is_delaunay and
 *                     facet.toporient == qh_ORIENTclock and facet_ndim == 3):
 */
          __pyx_v_lower_bound = 0;

          /* "scipy/spatial/qhull.pyx":645
 *                 # is not affected by the conditional below
 *                 lower_bound = 0
 *                 if (self._is_delaunay and             # <<<<<<<<<<<<<<
 *                     facet.toporient == qh_ORIENTclock and facet_ndim == 3):
 *                     # Swap the first and second indices to maintain a
 */
          __pyx_t_15 = (__pyx_v_self->_is_delaunay != 0);
          if (__pyx_t_15) {
          } else {
            __pyx_t_5 = __pyx_t_15;
            goto __pyx_L36_bool_binop_done;
          }

          /* "scipy/spatial/qhull.pyx":646
 *                 lower_bound = 0
 *                 if (self._is_delaunay and
 *                     facet.toporient == qh_ORIENTclock and facet_ndim == 3):             # <<<<<<<<<<<<<<
 *                     # Swap the first and second indices to maintain a
 *                     # counter-clockwise orientation.
 */
          __pyx_t_15 = ((__pyx_v_facet->toporient == qh_ORIENTclock) != 0);
          if (__pyx_t_15) {
          } else {
            __pyx_t_5 = __pyx_t_15;
            goto __pyx_L36_bool_binop_done;
          }
          __pyx_t_15 = ((__pyx_v_facet_ndim == 3) != 0);
          __pyx_t_5 = __pyx_t_15;
          __pyx_L36_bool_binop_done:;

          /* "scipy/spatial/qhull.pyx":645
 *                 # is not affected by the conditional below
 *                 lower_bound = 0
 *                 if (self._is_delaunay and             # <<<<<<<<<<<<<<
 *                     facet.toporient == qh_ORIENTclock and facet_ndim == 3):
 *                     # Swap the first and second indices to maintain a
 */
          if (__pyx_t_5) {

            /* "scipy/spatial/qhull.pyx":649
 *                     # Swap the first and second indices to maintain a
 *                     # counter-clockwise orientation.
 *                     for i in xrange(2):             # <<<<<<<<<<<<<<
 *                         # Save the vertex info
 *                         swapped_index = 1 ^ i
 */
            for (__pyx_t_4 = 0; __pyx_t_4 < 2; __pyx_t_4+=1) {
              __pyx_v_i = __pyx_t_4;

              /* "scipy/spatial/qhull.pyx":651
 *                     for i in xrange(2):
 *                         # Save the vertex info
 *                         swapped_index = 1 ^ i             # <<<<<<<<<<<<<<
 *                         vertex = <vertexT*>facet.vertices.e[i].p
 *                         ipoint = qh_pointid(self._qh, vertex.point)
 */
              __pyx_v_swapped_index = (1 ^ __pyx_v_i);

              /* "scipy/spatial/qhull.pyx":652
 *                         # Save the vertex info
 *                         swapped_index = 1 ^ i
 *                         vertex = <vertexT*>facet.vertices.e[i].p             # <<<<<<<<<<<<<<
 *                         ipoint = qh_pointid(self._qh, vertex.point)
 *                         facets[j, swapped_index] = ipoint
 */
              __pyx_v_vertex = ((vertexT *)(__pyx_v_facet->vertices->e[__pyx_v_i]).p);

              /* "scipy/spatial/qhull.pyx":653
 *                         swapped_index = 1 ^ i
 *                         vertex = <vertexT*>facet.vertices.e[i].p
 *                         ipoint = qh_pointid(self._qh, vertex.point)             # <<<<<<<<<<<<<<
 *                         facets[j, swapped_index] = ipoint
 * 
 */
              __pyx_v_ipoint = qh_pointid(__pyx_v_self->_qh, __pyx_v_vertex->point);

              /* "scipy/spatial/qhull.pyx":654
 *                         vertex = <vertexT*>facet.vertices.e[i].p
 *                         ipoint = qh_pointid(self._qh, vertex.point)
 *                         facets[j, swapped_index] = ipoint             # <<<<<<<<<<<<<<
 * 
 *                         # Save the neighbor info
 */
              __pyx_t_21 = __pyx_v_j;
              __pyx_t_22 = __pyx_v_swapped_index;
              if (__pyx_t_21 < 0) __pyx_t_21 += __pyx_pybuffernd_facets.diminfo[0].shape;
              *__Pyx_BufPtrStrided2d(npy_int *, __pyx_pybuffernd_facets.rcbuffer->pybuffer.buf, __pyx_t_21, __pyx_pybuffernd_facets.diminfo[0].strides, __pyx_t_22, __pyx_pybuffernd_facets.diminfo[1].strides) = __pyx_v_ipoint;

              /* "scipy/spatial/qhull.pyx":657
 * 
 *                         # Save the neighbor info
 *                         neighbor = <facetT*>facet.neighbors.e[i].p             # <<<<<<<<<<<<<<
 *                         neighbors[j, swapped_index] = id_map[neighbor.id]
 * 
 */
              __pyx_v_neighbor = ((facetT *)(__pyx_v_facet->neighbors->e[__pyx_v_i]).p);

              /* "scipy/spatial/qhull.pyx":658
 *                         # Save the neighbor info
 *                         neighbor = <facetT*>facet.neighbors.e[i].p
 *                         neighbors[j, swapped_index] = id_map[neighbor.id]             # <<<<<<<<<<<<<<
 * 
 *                     lower_bound = 2
 */
              __pyx_t_23 = __pyx_v_neighbor->id;
              __pyx_t_24 = __pyx_v_j;
              __pyx_t_25 = __pyx_v_swapped_index;
              if (__pyx_t_24 < 0) __pyx_t_24 += __pyx_pybuffernd_neighbors.diminfo[0].shape;
              *__Pyx_BufPtrStrided2d(npy_int *, __pyx_pybuffernd_neighbors.rcbuffer->pybuffer.buf, __pyx_t_24, __pyx_pybuffernd_neighbors.diminfo[0].strides, __pyx_t_25, __pyx_pybuffernd_neighbors.diminfo[1].strides) = (*__Pyx_BufPtrStrided1d(npy_int *, __pyx_pybuffernd_id_map.rcbuffer->pybuffer.buf, __pyx_t_23, __pyx_pybuffernd_id_map.diminfo[0].strides));
            }

            /* "scipy/spatial/qhull.pyx":660
 *                         neighbors[j, swapped_index] = id_map[neighbor.id]
 * 
 *                     lower_bound = 2             # <<<<<<<<<<<<<<
 * 
 *                 for i in xrange(lower_bound, facet_ndim):
 */
            __pyx_v_lower_bound = 2;

            /* "scipy/spatial/qhull.pyx":645
 *                 # is not affected by the conditional below
 *                 lower_bound = 0
 *                 if (self._is_delaunay and             # <<<<<<<<<<<<<<
 *                     facet.toporient == qh_ORIENTclock and facet_ndim == 3):
 *                     # Swap the first and second indices to maintain a
 */
          }

          /* "scipy/spatial/qhull.pyx":662
 *                     lower_bound = 2
 * 
 *                 for i in xrange(lower_bound, facet_ndim):             # <<<<<<<<<<<<<<
 *                     # Save the vertex info
 *                     vertex = <vertexT*>facet.vertices.e[i].p
 */
          __pyx_t_4 = __pyx_v_facet_ndim;
          for (__pyx_t_26 = __pyx_v_lower_bound; __pyx_t_26 < __pyx_t_4; __pyx_t_26+=1) {
            __pyx_v_i = __pyx_t_26;

            /* "scipy/spatial/qhull.pyx":664
 *                 for i in xrange(lower_bound, facet_ndim):
 *                     # Save the vertex info
 *                     vertex = <vertexT*>facet.vertices.e[i].p             # <<<<<<<<<<<<<<
 *                     ipoint = qh_pointid(self._qh, vertex.point)
 *                     facets[j, i] = ipoint
 */
            __pyx_v_vertex = ((vertexT *)(__pyx_v_facet->vertices->e[__pyx_v_i]).p);

            /* "scipy/spatial/qhull.pyx":665
 *                     # Save the vertex info
 *                     vertex = <vertexT*>facet.vertices.e[i].p
 *                     ipoint = qh_pointid(self._qh, vertex.point)             # <<<<<<<<<<<<<<
 *                     facets[j, i] = ipoint
 * 
 */
            __pyx_v_ipoint = qh_pointid(__pyx_v_self->_qh, __pyx_v_vertex->point);

            /* "scipy/spatial/qhull.pyx":666
 *                     vertex = <vertexT*>facet.vertices.e[i].p
 *                     ipoint = qh_pointid(self._qh, vertex.point)
 *                     facets[j, i] = ipoint             # <<<<<<<<<<<<<<
 * 
 *                     # Save the neighbor info
 */
            __pyx_t_27 = __pyx_v_j;
            __pyx_t_28 = __pyx_v_i;
            if (__pyx_t_27 < 0) __pyx_t_27 += __pyx_pybuffernd_facets.diminfo[0].shape;
            if (__pyx_t_28 < 0) __pyx_t_28 += __pyx_pybuffernd_facets.diminfo[1].shape;
            *__Pyx_BufPtrStrided2d(npy_int *, __pyx_pybuffernd_facets.rcbuffer->pybuffer.buf, __pyx_t_27, __pyx_pybuffernd_facets.diminfo[0].strides, __pyx_t_28, __pyx_pybuffernd_facets.diminfo[1].strides) = __pyx_v_ipoint;

            /* "scipy/spatial/qhull.pyx":669
 * 
 *                     # Save the neighbor info
 *                     neighbor = <facetT*>facet.neighbors.e[i].p             # <<<<<<<<<<<<<<
 *                     neighbors[j, i] = id_map[neighbor.id]
 * 
 */
            __pyx_v_neighbor = ((facetT *)(__pyx_v_facet->neighbors->e[__pyx_v_i]).p);

            /* "scipy/spatial/qhull.pyx":670
 *                     # Save the neighbor info
 *                     neighbor = <facetT*>facet.neighbors.e[i].p
 *                     neighbors[j, i] = id_map[neighbor.id]             # <<<<<<<<<<<<<<
 * 
 *                 # Save simplex equation info
 */
            __pyx_t_29 = __pyx_v_neighbor->id;
            __pyx_t_30 = __pyx_v_j;
            __pyx_t_31 = __pyx_v_i;
            if (__pyx_t_30 < 0) __pyx_t_30 += __pyx_pybuffernd_neighbors.diminfo[0].shape;
            if (__pyx_t_31 < 0) __pyx_t_31 += __pyx_pybuffernd_neighbors.diminfo[1].shape;
            *__Pyx_BufPtrStrided2d(npy_int *, __pyx_pybuffernd_neighbors.rcbuffer->pybuffer.buf, __pyx_t_30, __pyx_pybuffernd_neighbors.diminfo[0].strides, __pyx_t_31, __pyx_pybuffernd_neighbors.diminfo[1].strides) = (*__Pyx_BufPtrStrided1d(npy_int *, __pyx_pybuffernd_id_map.rcbuffer->pybuffer.buf, __pyx_t_29, __pyx_pybuffernd_id_map.diminfo[0].strides));
          }

          /* "scipy/spatial/qhull.pyx":673
 * 
 *                 # Save simplex equation info
 *                 for i in xrange(facet_ndim):             # <<<<<<<<<<<<<<
 *                     equations[j, i] = facet.normal[i]
 *                 equations[j, facet_ndim] = facet.offset
 */
          __pyx_t_4 = __pyx_v_facet_ndim;
          for (__pyx_t_26 = 0; __pyx_t_26 < __pyx_t_4; __pyx_t_26+=1) {
            __pyx_v_i = __pyx_t_26;

            /* "scipy/spatial/qhull.pyx":674
 *                 # Save simplex equation info
 *                 for i in xrange(facet_ndim):
 *                     equations[j, i] = facet.normal[i]             # <<<<<<<<<<<<<<
 *                 equations[j, facet_ndim] = facet.offset
 * 
 */
            __pyx_t_32 = __pyx_v_j;
            __pyx_t_33 = __pyx_v_i;
            if (__pyx_t_32 < 0) __pyx_t_32 += __pyx_pybuffernd_equations.diminfo[0].shape;
            if (__pyx_t_33 < 0) __pyx_t_33 += __pyx_pybuffernd_equations.diminfo[1].shape;
            *__Pyx_BufPtrStrided2d(__pyx_t_5numpy_double_t *, __pyx_pybuffernd_equations.rcbuffer->pybuffer.buf, __pyx_t_32, __pyx_pybuffernd_equations.diminfo[0].strides, __pyx_t_33, __pyx_pybuffernd_equations.diminfo[1].strides) = (__pyx_v_facet->normal[__pyx_v_i]);
          }

          /* "scipy/spatial/qhull.pyx":675
 *                 for i in xrange(facet_ndim):
 *                     equations[j, i] = facet.normal[i]
 *                 equations[j, facet_ndim] = facet.offset             # <<<<<<<<<<<<<<
 * 
 *                 # Save coplanar info
 */
          __pyx_t_34 = __pyx_v_facet->offset;
          __pyx_t_35 = __pyx_v_j;
          __pyx_t_36 = __pyx_v_facet_ndim;
          if (__pyx_t_35 < 0) __pyx_t_35 += __pyx_pybuffernd_equations.diminfo[0].shape;
          if (__pyx_t_36 < 0) __pyx_t_36 += __pyx_pybuffernd_equations.diminfo[1].shape;
          *__Pyx_BufPtrStrided2d(__pyx_t_5numpy_double_t *, __pyx_pybuffernd_equations.rcbuffer->pybuffer.buf, __pyx_t_35, __pyx_pybuffernd_equations.diminfo[0].strides, __pyx_t_36, __pyx_pybuffernd_equations.diminfo[1].strides) = __pyx_t_34;

          /* "scipy/spatial/qhull.pyx":678
 * 
 *                 # Save coplanar info
 *                 if facet.coplanarset:             # <<<<<<<<<<<<<<
 *                     for i in range(qh_setsize(self._qh, facet.coplanarset)):
 *                         point = <pointT*>facet.coplanarset.e[i].p
 */
          __pyx_t_5 = (__pyx_v_facet->coplanarset != 0);
          if (__pyx_t_5) {

            /* "scipy/spatial/qhull.pyx":679
 *                 # Save coplanar info
 *                 if facet.coplanarset:
 *                     for i in range(qh_setsize(self._qh, facet.coplanarset)):             # <<<<<<<<<<<<<<
 *                         point = <pointT*>facet.coplanarset.e[i].p
 *                         vertex = qh_nearvertex(self._qh, facet, point, &dist)
 */
            __pyx_t_4 = qh_setsize(__pyx_v_self->_qh, __pyx_v_facet->coplanarset);
            for (__pyx_t_26 = 0; __pyx_t_26 < __pyx_t_4; __pyx_t_26+=1) {
              __pyx_v_i = __pyx_t_26;

              /* "scipy/spatial/qhull.pyx":680
 *                 if facet.coplanarset:
 *                     for i in range(qh_setsize(self._qh, facet.coplanarset)):
 *                         point = <pointT*>facet.coplanarset.e[i].p             # <<<<<<<<<<<<<<
 *                         vertex = qh_nearvertex(self._qh, facet, point, &dist)
 * 
 */
              __pyx_v_point = ((pointT *)(__pyx_v_facet->coplanarset->e[__pyx_v_i]).p);

              /* "scipy/spatial/qhull.pyx":681
 *                     for i in range(qh_setsize(self._qh, facet.coplanarset)):
 *                         point = <pointT*>facet.coplanarset.e[i].p
 *                         vertex = qh_nearvertex(self._qh, facet, point, &dist)             # <<<<<<<<<<<<<<
 * 
 *                         if ncoplanar >= coplanar.shape[0]:
 */
              __pyx_v_vertex = qh_nearvertex(__pyx_v_self->_qh, __pyx_v_facet, __pyx_v_point, (&__pyx_v_dist));

              /* "scipy/spatial/qhull.pyx":683
 *                         vertex = qh_nearvertex(self._qh, facet, point, &dist)
 * 
 *                         if ncoplanar >= coplanar.shape[0]:             # <<<<<<<<<<<<<<
 *                             with gil:
 *                                 tmp = coplanar
 */
              __pyx_t_5 = ((__pyx_v_ncoplanar >= (__pyx_v_coplanar->dimensions[0])) != 0);
              if (__pyx_t_5) {

                /* "scipy/spatial/qhull.pyx":684
 * 
 *                         if ncoplanar >= coplanar.shape[0]:
 *                             with gil:             # <<<<<<<<<<<<<<
 *                                 tmp = coplanar
 *                                 coplanar = None
 */
                {
                    #ifdef WITH_THREAD
                    PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
                    #endif
                    /*try:*/ {

                      /* "scipy/spatial/qhull.pyx":685
 *                         if ncoplanar >= coplanar.shape[0]:
 *                             with gil:
 *                                 tmp = coplanar             # <<<<<<<<<<<<<<
 *                                 coplanar = None
 *                                 try:
 */
                      __Pyx_INCREF(((PyObject *)__pyx_v_coplanar));
                      __Pyx_XDECREF_SET(__pyx_v_tmp, ((PyObject *)__pyx_v_coplanar));

                      /* "scipy/spatial/qhull.pyx":686
 *                             with gil:
 *                                 tmp = coplanar
 *                                 coplanar = None             # <<<<<<<<<<<<<<
 *                                 try:
 *                                     tmp.resize(2 * ncoplanar + 1, 3)
 */
                      __pyx_t_20 = ((PyArrayObject *)Py_None);
                      {
                        __Pyx_BufFmt_StackElem __pyx_stack[1];
                        __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_coplanar.rcbuffer->pybuffer);
                        __pyx_t_37 = __Pyx_GetBufferAndValidate(&__pyx_pybuffernd_coplanar.rcbuffer->pybuffer, (PyObject*)__pyx_t_20, &__Pyx_TypeInfo_nn_npy_int, PyBUF_FORMAT| PyBUF_STRIDES| PyBUF_WRITABLE, 2, 0, __pyx_stack);
                        if (unlikely(__pyx_t_37 < 0)) {
                          PyErr_Fetch(&__pyx_t_11, &__pyx_t_10, &__pyx_t_9);
                          if (unlikely(__Pyx_GetBufferAndValidate(&__pyx_pybuffernd_coplanar.rcbuffer->pybuffer, (PyObject*)__pyx_v_coplanar, &__Pyx_TypeInfo_nn_npy_int, PyBUF_FORMAT| PyBUF_STRIDES| PyBUF_WRITABLE, 2, 0, __pyx_stack) == -1)) {
                            Py_XDECREF(__pyx_t_11); Py_XDECREF(__pyx_t_10); Py_XDECREF(__pyx_t_9);
                            __Pyx_RaiseBufferFallbackError();
                          } else {
                            PyErr_Restore(__pyx_t_11, __pyx_t_10, __pyx_t_9);
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                        __pyx_pybuffernd_coplanar.diminfo[0].strides = __pyx_pybuffernd_coplanar.rcbuffer->pybuffer.strides[0]; __pyx_pybuffernd_coplanar.diminfo[0].shape = __pyx_pybuffernd_coplanar.rcbuffer->pybuffer.shape[0]; __pyx_pybuffernd_coplanar.diminfo[1].strides = __pyx_pybuffernd_coplanar.rcbuffer->pybuffer.strides[1]; __pyx_pybuffernd_coplanar.diminfo[1].shape = __pyx_pybuffernd_coplanar.rcbuffer->pybuffer.shape[1];
                        if (unlikely(__pyx_t_37 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 686; __pyx_clineno = __LINE__; goto __pyx_L52_error;}
                      }
                      __pyx_t_20 = 0;
                      __Pyx_INCREF(Py_None);
                      __Pyx_DECREF_SET(__pyx_v_coplanar, ((PyArrayObject *)Py_None));

                      /* "scipy/spatial/qhull.pyx":687
 *                                 tmp = coplanar
 *                                 coplanar = None
 *                                 try:             # <<<<<<<<<<<<<<
 *                                     tmp.resize(2 * ncoplanar + 1, 3)
 *                                 except ValueError:
 */
                      {
                        __Pyx_ExceptionSave(&__pyx_t_9, &__pyx_t_10, &__pyx_t_11);
                        __Pyx_XGOTREF(__pyx_t_9);
                        __Pyx_XGOTREF(__pyx_t_10);
                        __Pyx_XGOTREF(__pyx_t_11);
                        /*try:*/ {

                          /* "scipy/spatial/qhull.pyx":688
 *                                 coplanar = None
 *                                 try:
 *                                     tmp.resize(2 * ncoplanar + 1, 3)             # <<<<<<<<<<<<<<
 *                                 except ValueError:
 *                                     # Work around Cython issue on Python 2.4
 */
                          __pyx_t_2 = __Pyx_PyObject_GetAttrStr(__pyx_v_tmp, __pyx_n_s_resize); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 688; __pyx_clineno = __LINE__; goto __pyx_L54_error;}
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 *     # of the digits be significant, to be safe
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 * 
 *     with nogil:
 */
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 *     rcond_limit = 1000*eps
 * 
 *     with nogil:             # <<<<<<<<<<<<<<
 *         for isimplex in xrange(nsimplex):
 *             for i in xrange(ndim):
 */
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      #ifdef WITH_THREAD
      PyThreadState *_save;
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      #endif
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        /* "scipy/spatial/qhull.pyx":1033
 * 
 *     with nogil:
 *         for isimplex in xrange(nsimplex):             # <<<<<<<<<<<<<<
 *             for i in xrange(ndim):
 *                 Tinvs[isimplex,ndim,i] = points[simplices[isimplex,ndim],i]
 */
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 *     with nogil:
 *         for isimplex in xrange(nsimplex):
 *             for i in xrange(ndim):             # <<<<<<<<<<<<<<
 *                 Tinvs[isimplex,ndim,i] = points[simplices[isimplex,ndim],i]
 *                 for j in xrange(ndim):
 */
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 *         for isimplex in xrange(nsimplex):
 *             for i in xrange(ndim):
 *                 Tinvs[isimplex,ndim,i] = points[simplices[isimplex,ndim],i]             # <<<<<<<<<<<<<<
 *                 for j in xrange(ndim):
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 */
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 *             for i in xrange(ndim):
 *                 Tinvs[isimplex,ndim,i] = points[simplices[isimplex,ndim],i]
 *                 for j in xrange(ndim):             # <<<<<<<<<<<<<<
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 */
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              /* "scipy/spatial/qhull.pyx":1037
 *                 Tinvs[isimplex,ndim,i] = points[simplices[isimplex,ndim],i]
 *                 for j in xrange(ndim):
 *                     T[i,j] = (points[simplices[isimplex,j],i]             # <<<<<<<<<<<<<<
 *                               - Tinvs[isimplex,ndim,i])
 *                 Tinvs[isimplex,i,i] = 1
 */
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              /* "scipy/spatial/qhull.pyx":1038
 *                 for j in xrange(ndim):
 *                     T[i,j] = (points[simplices[isimplex,j],i]
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 *                 Tinvs[isimplex,i,i] = 1
 * 
 */
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              /* "scipy/spatial/qhull.pyx":1037
 *                 Tinvs[isimplex,ndim,i] = points[simplices[isimplex,ndim],i]
 *                 for j in xrange(ndim):
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 *                               - Tinvs[isimplex,ndim,i])
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 */
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              *__Pyx_BufPtrStrided2d(__pyx_t_5numpy_double_t *, __pyx_pybuffernd_T.rcbuffer->pybuffer.buf, __pyx_t_31, __pyx_pybuffernd_T.diminfo[0].strides, __pyx_t_32, __pyx_pybuffernd_T.diminfo[1].strides) = ((*__Pyx_BufPtrStrided2d(__pyx_t_5numpy_double_t *, __pyx_pybuffernd_points.rcbuffer->pybuffer.buf, __pyx_t_26, __pyx_pybuffernd_points.diminfo[0].strides, __pyx_t_27, __pyx_pybuffernd_points.diminfo[1].strides)) - (*__Pyx_BufPtrStrided3d(__pyx_t_5numpy_double_t *, __pyx_pybuffernd_Tinvs.rcbuffer->pybuffer.buf, __pyx_t_28, __pyx_pybuffernd_Tinvs.diminfo[0].strides, __pyx_t_29, __pyx_pybuffernd_Tinvs.diminfo[1].strides, __pyx_t_30, __pyx_pybuffernd_Tinvs.diminfo[2].strides)));
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            /* "scipy/spatial/qhull.pyx":1039
 *                     T[i,j] = (points[simplices[isimplex,j],i]
 *                               - Tinvs[isimplex,ndim,i])
 *                 Tinvs[isimplex,i,i] = 1             # <<<<<<<<<<<<<<
 * 
 *             # compute 1-norm for estimating condition number
 */
            __pyx_t_33 = __pyx_v_isimplex;
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            __pyx_t_35 = __pyx_v_i;
            if (__pyx_t_33 < 0) __pyx_t_33 += __pyx_pybuffernd_Tinvs.diminfo[0].shape;
            if (__pyx_t_34 < 0) __pyx_t_34 += __pyx_pybuffernd_Tinvs.diminfo[1].shape;
            if (__pyx_t_35 < 0) __pyx_t_35 += __pyx_pybuffernd_Tinvs.diminfo[2].shape;
            *__Pyx_BufPtrStrided3d(__pyx_t_5numpy_double_t *, __pyx_pybuffernd_Tinvs.rcbuffer->pybuffer.buf, __pyx_t_33, __pyx_pybuffernd_Tinvs.diminfo[0].strides, __pyx_t_34, __pyx_pybuffernd_Tinvs.diminfo[1].strides, __pyx_t_35, __pyx_pybuffernd_Tinvs.diminfo[2].strides) = 1.0;
          }

          /* "scipy/spatial/qhull.pyx":1042
 * 
 *             # compute 1-norm for estimating condition number
 *             anorm = _matrix_norm1(ndim, <double*>T.data)             # <<<<<<<<<<<<<<
 * 
 *             # LU decomposition
 */
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          /* "scipy/spatial/qhull.pyx":1045
 * 
 *             # LU decomposition
 *             n = ndim             # <<<<<<<<<<<<<<
 *             nrhs = ndim
 *             lda = ndim
 */
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          /* "scipy/spatial/qhull.pyx":1046
 *             # LU decomposition
 *             n = ndim
 *             nrhs = ndim             # <<<<<<<<<<<<<<
 *             lda = ndim
 *             ldb = ndim
 */
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          /* "scipy/spatial/qhull.pyx":1047
 *             n = ndim
 *             nrhs = ndim
 *             lda = ndim             # <<<<<<<<<<<<<<
 *             ldb = ndim
 *             qh_dgetrf(&n, &n, <double*>T.data, &lda, ipiv, &info)
 */
          __pyx_v_lda = __pyx_v_ndim;

          /* "scipy/spatial/qhull.pyx":1048
 *             nrhs = ndim
 *             lda = ndim
 *             ldb = ndim             # <<<<<<<<<<<<<<
 *             qh_dgetrf(&n, &n, <double*>T.data, &lda, ipiv, &info)
 * 
 */
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          /* "scipy/spatial/qhull.pyx":1049
 *             lda = ndim
 *             ldb = ndim
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 * 
 *             # Check condition number
 */
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          /* "scipy/spatial/qhull.pyx":1052
 * 
 *             # Check condition number
 *             if info == 0:             # <<<<<<<<<<<<<<
 *                 qh_dgecon("1", &n, <double*>T.data, &lda, &anorm, &rcond,
 *                           work, iwork, &info)
 */
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            /* "scipy/spatial/qhull.pyx":1053
 *             # Check condition number
 *             if info == 0:
 *                 qh_dgecon("1", &n, <double*>T.data, &lda, &anorm, &rcond,             # <<<<<<<<<<<<<<
 *                           work, iwork, &info)
 * 
 */
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            /* "scipy/spatial/qhull.pyx":1056
 *                           work, iwork, &info)
 * 
 *                 if rcond < rcond_limit:             # <<<<<<<<<<<<<<
 *                     # The transform seems singular
 *                     info = 1
 */
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              /* "scipy/spatial/qhull.pyx":1058
 *                 if rcond < rcond_limit:
 *                     # The transform seems singular
 *                     info = 1             # <<<<<<<<<<<<<<
 * 
 *             # Compute transform
 */
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              /* "scipy/spatial/qhull.pyx":1056
 *                           work, iwork, &info)
 * 
 *                 if rcond < rcond_limit:             # <<<<<<<<<<<<<<
 *                     # The transform seems singular
 *                     info = 1
 */
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            /* "scipy/spatial/qhull.pyx":1052
 * 
 *             # Check condition number
 *             if info == 0:             # <<<<<<<<<<<<<<
 *                 qh_dgecon("1", &n, <double*>T.data, &lda, &anorm, &rcond,
 *                           work, iwork, &info)
 */
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          /* "scipy/spatial/qhull.pyx":1061
 * 
 *             # Compute transform
 *             if info == 0:             # <<<<<<<<<<<<<<
 *                 qh_dgetrs("N", &n, &nrhs, <double*>T.data, &lda, ipiv,
 *                           (<double*>Tinvs.data) + ndim*(ndim+1)*isimplex,
 */
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            /* "scipy/spatial/qhull.pyx":1062
 *             # Compute transform
 *             if info == 0:
 *                 qh_dgetrs("N", &n, &nrhs, <double*>T.data, &lda, ipiv,             # <<<<<<<<<<<<<<
 *                           (<double*>Tinvs.data) + ndim*(ndim+1)*isimplex,
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 */
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            /* "scipy/spatial/qhull.pyx":1061
 * 
 *             # Compute transform
 *             if info == 0:             # <<<<<<<<<<<<<<
 *                 qh_dgetrs("N", &n, &nrhs, <double*>T.data, &lda, ipiv,
 *                           (<double*>Tinvs.data) + ndim*(ndim+1)*isimplex,
 */
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          /* "scipy/spatial/qhull.pyx":1067
 * 
 *             # Deal with degenerate simplices
 *             if info != 0:             # <<<<<<<<<<<<<<
 *                 for i in range(ndim+1):
 *                     for j in range(ndim):
 */
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            /* "scipy/spatial/qhull.pyx":1068
 *             # Deal with degenerate simplices
 *             if info != 0:
 *                 for i in range(ndim+1):             # <<<<<<<<<<<<<<
 *                     for j in range(ndim):
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 */
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              /* "scipy/spatial/qhull.pyx":1069
 *             if info != 0:
 *                 for i in range(ndim+1):
 *                     for j in range(ndim):             # <<<<<<<<<<<<<<
 *                         Tinvs[isimplex,i,j] = nan
 * 
 */
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                /* "scipy/spatial/qhull.pyx":1070
 *                 for i in range(ndim+1):
 *                     for j in range(ndim):
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 * 
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 */
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 * 
 *             # Deal with degenerate simplices
 *             if info != 0:             # <<<<<<<<<<<<<<
 *                 for i in range(ndim+1):
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      /* "scipy/spatial/qhull.pyx":1032
 *     rcond_limit = 1000*eps
 * 
 *     with nogil:             # <<<<<<<<<<<<<<
 *         for isimplex in xrange(nsimplex):
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 */
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  /* "scipy/spatial/qhull.pyx":1072
 *                         Tinvs[isimplex,i,j] = nan
 * 
 *     return Tinvs             # <<<<<<<<<<<<<<
 * 
 * @cython.boundscheck(False)
 */
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  /* "scipy/spatial/qhull.pyx":969
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 * @cython.cdivision(True)
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 *                                 np.ndarray[np.npy_int, ndim=2] simplices,
 *                                 double eps):
 */

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/* "scipy/spatial/qhull.pyx":1075
 * 
 * @cython.boundscheck(False)
 * cdef double _matrix_norm1(int n, double *a) nogil:             # <<<<<<<<<<<<<<
 *     """Compute the 1-norm of a square matrix given in in Fortran order"""
 *     cdef double maxsum = 0, colsum
 */

static double __pyx_f_5scipy_7spatial_5qhull__matrix_norm1(int __pyx_v_n, double *__pyx_v_a) {
  double __pyx_v_maxsum;
  double __pyx_v_colsum;
  CYTHON_UNUSED int __pyx_v_i;
  CYTHON_UNUSED int __pyx_v_j;
  double __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;
  int __pyx_t_5;

  /* "scipy/spatial/qhull.pyx":1077
 * cdef double _matrix_norm1(int n, double *a) nogil:
 *     """Compute the 1-norm of a square matrix given in in Fortran order"""
 *     cdef double maxsum = 0, colsum             # <<<<<<<<<<<<<<
 *     cdef int i, j
 * 
 */
  __pyx_v_maxsum = 0.0;

  /* "scipy/spatial/qhull.pyx":1080
 *     cdef int i, j
 * 
 *     for j in range(n):             # <<<<<<<<<<<<<<
 *         colsum = 0
 *         for i in range(n):
 */
  __pyx_t_1 = __pyx_v_n;
  for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_1; __pyx_t_2+=1) {
    __pyx_v_j = __pyx_t_2;

    /* "scipy/spatial/qhull.pyx":1081
 * 
 *     for j in range(n):
 *         colsum = 0             # <<<<<<<<<<<<<<
 *         for i in range(n):
 *             colsum += fabs(a[0])
 */
    __pyx_v_colsum = 0.0;

    /* "scipy/spatial/qhull.pyx":1082
 *     for j in range(n):
 *         colsum = 0
 *         for i in range(n):             # <<<<<<<<<<<<<<
 *             colsum += fabs(a[0])
 *             a += 1
 */
    __pyx_t_3 = __pyx_v_n;
    for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_3; __pyx_t_4+=1) {
      __pyx_v_i = __pyx_t_4;

      /* "scipy/spatial/qhull.pyx":1083
 *         colsum = 0
 *         for i in range(n):
 *             colsum += fabs(a[0])             # <<<<<<<<<<<<<<
 *             a += 1
 *         if maxsum < colsum:
 */
      __pyx_v_colsum = (__pyx_v_colsum + fabs((__pyx_v_a[0])));

      /* "scipy/spatial/qhull.pyx":1084
 *         for i in range(n):
 *             colsum += fabs(a[0])
 *             a += 1             # <<<<<<<<<<<<<<
 *         if maxsum < colsum:
 *             maxsum = colsum
 */
      __pyx_v_a = (__pyx_v_a + 1);
    }

    /* "scipy/spatial/qhull.pyx":1085
 *             colsum += fabs(a[0])
 *             a += 1
 *         if maxsum < colsum:             # <<<<<<<<<<<<<<
 *             maxsum = colsum
 *     return maxsum
 */
    __pyx_t_5 = ((__pyx_v_maxsum < __pyx_v_colsum) != 0);
    if (__pyx_t_5) {

      /* "scipy/spatial/qhull.pyx":1086
 *             a += 1
 *         if maxsum < colsum:
 *             maxsum = colsum             # <<<<<<<<<<<<<<
 *     return maxsum
 * 
 */
      __pyx_v_maxsum = __pyx_v_colsum;

      /* "scipy/spatial/qhull.pyx":1085
 *             colsum += fabs(a[0])
 *             a += 1
 *         if maxsum < colsum:             # <<<<<<<<<<<<<<
 *             maxsum = colsum
 *     return maxsum
 */
    }
  }

  /* "scipy/spatial/qhull.pyx":1087
 *         if maxsum < colsum:
 *             maxsum = colsum
 *     return maxsum             # <<<<<<<<<<<<<<
 * 
 * cdef int _barycentric_inside(int ndim, double *transform,
 */
  __pyx_r = __pyx_v_maxsum;
  goto __pyx_L0;

  /* "scipy/spatial/qhull.pyx":1075
 * 
 * @cython.boundscheck(False)
 * cdef double _matrix_norm1(int n, double *a) nogil:             # <<<<<<<<<<<<<<
 *     """Compute the 1-norm of a square matrix given in in Fortran order"""
 *     cdef double maxsum = 0, colsum
 */

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

/* "scipy/spatial/qhull.pyx":1089
 *     return maxsum
 * 
 * cdef int _barycentric_inside(int ndim, double *transform,             # <<<<<<<<<<<<<<
 *                              double *x, double *c, double eps) nogil:
 *     """
 */

static int __pyx_f_5scipy_7spatial_5qhull__barycentric_inside(int __pyx_v_ndim, double *__pyx_v_transform, double *__pyx_v_x, double *__pyx_v_c, double __pyx_v_eps) {
  int __pyx_v_i;
  int __pyx_v_j;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;
  int __pyx_t_5;
  int __pyx_t_6;
  int __pyx_t_7;

  /* "scipy/spatial/qhull.pyx":1098
 *     """
 *     cdef int i, j
 *     c[ndim] = 1.0             # <<<<<<<<<<<<<<
 *     for i in xrange(ndim):
 *         c[i] = 0
 */
  (__pyx_v_c[__pyx_v_ndim]) = 1.0;

  /* "scipy/spatial/qhull.pyx":1099
 *     cdef int i, j
 *     c[ndim] = 1.0
 *     for i in xrange(ndim):             # <<<<<<<<<<<<<<
 *         c[i] = 0
 *         for j in xrange(ndim):
 */
  __pyx_t_1 = __pyx_v_ndim;
  for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_1; __pyx_t_2+=1) {
    __pyx_v_i = __pyx_t_2;

    /* "scipy/spatial/qhull.pyx":1100
 *     c[ndim] = 1.0
 *     for i in xrange(ndim):
 *         c[i] = 0             # <<<<<<<<<<<<<<
 *         for j in xrange(ndim):
 *             c[i] += transform[ndim*i + j] * (x[j] - transform[ndim*ndim + j])
 */
    (__pyx_v_c[__pyx_v_i]) = 0.0;

    /* "scipy/spatial/qhull.pyx":1101
 *     for i in xrange(ndim):
 *         c[i] = 0
 *         for j in xrange(ndim):             # <<<<<<<<<<<<<<
 *             c[i] += transform[ndim*i + j] * (x[j] - transform[ndim*ndim + j])
 *         c[ndim] -= c[i]
 */
    __pyx_t_3 = __pyx_v_ndim;
    for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_3; __pyx_t_4+=1) {
      __pyx_v_j = __pyx_t_4;

      /* "scipy/spatial/qhull.pyx":1102
 *         c[i] = 0
 *         for j in xrange(ndim):
 *             c[i] += transform[ndim*i + j] * (x[j] - transform[ndim*ndim + j])             # <<<<<<<<<<<<<<
 *         c[ndim] -= c[i]
 * 
 */
      __pyx_t_5 = __pyx_v_i;
      (__pyx_v_c[__pyx_t_5]) = ((__pyx_v_c[__pyx_t_5]) + ((__pyx_v_transform[((__pyx_v_ndim * __pyx_v_i) + __pyx_v_j)]) * ((__pyx_v_x[__pyx_v_j]) - (__pyx_v_transform[((__pyx_v_ndim * __pyx_v_ndim) + __pyx_v_j)]))));
    }

    /* "scipy/spatial/qhull.pyx":1103
 *         for j in xrange(ndim):
 *             c[i] += transform[ndim*i + j] * (x[j] - transform[ndim*ndim + j])
 *         c[ndim] -= c[i]             # <<<<<<<<<<<<<<
 * 
 *         if not (-eps <= c[i] <= 1 + eps):
 */
    __pyx_t_3 = __pyx_v_ndim;
    (__pyx_v_c[__pyx_t_3]) = ((__pyx_v_c[__pyx_t_3]) - (__pyx_v_c[__pyx_v_i]));

    /* "scipy/spatial/qhull.pyx":1105
 *         c[ndim] -= c[i]
 * 
 *         if not (-eps <= c[i] <= 1 + eps):             # <<<<<<<<<<<<<<
 *             return 0
 *     if not (-eps <= c[ndim] <= 1 + eps):
 */
    __pyx_t_6 = ((-__pyx_v_eps) <= (__pyx_v_c[__pyx_v_i]));
    if (__pyx_t_6) {
      __pyx_t_6 = ((__pyx_v_c[__pyx_v_i]) <= (1.0 + __pyx_v_eps));
    }
    __pyx_t_7 = ((!(__pyx_t_6 != 0)) != 0);
    if (__pyx_t_7) {

      /* "scipy/spatial/qhull.pyx":1106
 * 
 *         if not (-eps <= c[i] <= 1 + eps):
 *             return 0             # <<<<<<<<<<<<<<
 *     if not (-eps <= c[ndim] <= 1 + eps):
 *         return 0
 */
      __pyx_r = 0;
      goto __pyx_L0;

      /* "scipy/spatial/qhull.pyx":1105
 *         c[ndim] -= c[i]
 * 
 *         if not (-eps <= c[i] <= 1 + eps):             # <<<<<<<<<<<<<<
 *             return 0
 *     if not (-eps <= c[ndim] <= 1 + eps):
 */
    }
  }

  /* "scipy/spatial/qhull.pyx":1107
 *         if not (-eps <= c[i] <= 1 + eps):
 *             return 0
 *     if not (-eps <= c[ndim] <= 1 + eps):             # <<<<<<<<<<<<<<
 *         return 0
 *     return 1
 */
  __pyx_t_7 = ((-__pyx_v_eps) <= (__pyx_v_c[__pyx_v_ndim]));
  if (__pyx_t_7) {
    __pyx_t_7 = ((__pyx_v_c[__pyx_v_ndim]) <= (1.0 + __pyx_v_eps));
  }
  __pyx_t_6 = ((!(__pyx_t_7 != 0)) != 0);
  if (__pyx_t_6) {

    /* "scipy/spatial/qhull.pyx":1108
 *             return 0
 *     if not (-eps <= c[ndim] <= 1 + eps):
 *         return 0             # <<<<<<<<<<<<<<
 *     return 1
 * 
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "scipy/spatial/qhull.pyx":1107
 *         if not (-eps <= c[i] <= 1 + eps):
 *             return 0
 *     if not (-eps <= c[ndim] <= 1 + eps):             # <<<<<<<<<<<<<<
 *         return 0
 *     return 1
 */
  }

  /* "scipy/spatial/qhull.pyx":1109
 *     if not (-eps <= c[ndim] <= 1 + eps):
 *         return 0
 *     return 1             # <<<<<<<<<<<<<<
 * 
 * cdef void _barycentric_coordinate_single(int ndim, double *transform,
 */
  __pyx_r = 1;
  goto __pyx_L0;

  /* "scipy/spatial/qhull.pyx":1089
 *     return maxsum
 * 
 * cdef int _barycentric_inside(int ndim, double *transform,             # <<<<<<<<<<<<<<
 *                              double *x, double *c, double eps) nogil:
 *     """
 */

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

/* "scipy/spatial/qhull.pyx":1111
 *     return 1
 * 
 * cdef void _barycentric_coordinate_single(int ndim, double *transform,             # <<<<<<<<<<<<<<
 *                                          double *x, double *c, int i) nogil:
 *     """
 */

static void __pyx_f_5scipy_7spatial_5qhull__barycentric_coordinate_single(int __pyx_v_ndim, double *__pyx_v_transform, double *__pyx_v_x, double *__pyx_v_c, int __pyx_v_i) {
  int __pyx_v_j;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;

  /* "scipy/spatial/qhull.pyx":1122
 *     cdef int j
 * 
 *     if i == ndim:             # <<<<<<<<<<<<<<
 *         c[ndim] = 1.0
 *         for j in xrange(ndim):
 */
  __pyx_t_1 = ((__pyx_v_i == __pyx_v_ndim) != 0);
  if (__pyx_t_1) {

    /* "scipy/spatial/qhull.pyx":1123
 * 
 *     if i == ndim:
 *         c[ndim] = 1.0             # <<<<<<<<<<<<<<
 *         for j in xrange(ndim):
 *             c[ndim] -= c[j]
 */
    (__pyx_v_c[__pyx_v_ndim]) = 1.0;

    /* "scipy/spatial/qhull.pyx":1124
 *     if i == ndim:
 *         c[ndim] = 1.0
 *         for j in xrange(ndim):             # <<<<<<<<<<<<<<
 *             c[ndim] -= c[j]
 *     else:
 */
    __pyx_t_2 = __pyx_v_ndim;
    for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
      __pyx_v_j = __pyx_t_3;

      /* "scipy/spatial/qhull.pyx":1125
 *         c[ndim] = 1.0
 *         for j in xrange(ndim):
 *             c[ndim] -= c[j]             # <<<<<<<<<<<<<<
 *     else:
 *         c[i] = 0
 */
      __pyx_t_4 = __pyx_v_ndim;
      (__pyx_v_c[__pyx_t_4]) = ((__pyx_v_c[__pyx_t_4]) - (__pyx_v_c[__pyx_v_j]));
    }

    /* "scipy/spatial/qhull.pyx":1122
 *     cdef int j
 * 
 *     if i == ndim:             # <<<<<<<<<<<<<<
 *         c[ndim] = 1.0
 *         for j in xrange(ndim):
 */
    goto __pyx_L3;
  }

  /* "scipy/spatial/qhull.pyx":1127
 *             c[ndim] -= c[j]
 *     else:
 *         c[i] = 0             # <<<<<<<<<<<<<<
 *         for j in xrange(ndim):
 *             c[i] += transform[ndim*i + j] * (x[j] - transform[ndim*ndim + j])
 */
  /*else*/ {
    (__pyx_v_c[__pyx_v_i]) = 0.0;

    /* "scipy/spatial/qhull.pyx":1128
 *     else:
 *         c[i] = 0
 *         for j in xrange(ndim):             # <<<<<<<<<<<<<<
 *             c[i] += transform[ndim*i + j] * (x[j] - transform[ndim*ndim + j])
 * 
 */
    __pyx_t_2 = __pyx_v_ndim;
    for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
      __pyx_v_j = __pyx_t_3;

      /* "scipy/spatial/qhull.pyx":1129
 *         c[i] = 0
 *         for j in xrange(ndim):
 *             c[i] += transform[ndim*i + j] * (x[j] - transform[ndim*ndim + j])             # <<<<<<<<<<<<<<
 * 
 * cdef void _barycentric_coordinates(int ndim, double *transform,
 */
      __pyx_t_4 = __pyx_v_i;
      (__pyx_v_c[__pyx_t_4]) = ((__pyx_v_c[__pyx_t_4]) + ((__pyx_v_transform[((__pyx_v_ndim * __pyx_v_i) + __pyx_v_j)]) * ((__pyx_v_x[__pyx_v_j]) - (__pyx_v_transform[((__pyx_v_ndim * __pyx_v_ndim) + __pyx_v_j)]))));
    }
  }
  __pyx_L3:;

  /* "scipy/spatial/qhull.pyx":1111
 *     return 1
 * 
 * cdef void _barycentric_coordinate_single(int ndim, double *transform,             # <<<<<<<<<<<<<<
 *                                          double *x, double *c, int i) nogil:
 *     """
 */

  /* function exit code */
}

/* "scipy/spatial/qhull.pyx":1131
 *             c[i] += transform[ndim*i + j] * (x[j] - transform[ndim*ndim + j])
 * 
 * cdef void _barycentric_coordinates(int ndim, double *transform,             # <<<<<<<<<<<<<<
 *                                    double *x, double *c) nogil:
 *     """
 */

static void __pyx_f_5scipy_7spatial_5qhull__barycentric_coordinates(int __pyx_v_ndim, double *__pyx_v_transform, double *__pyx_v_x, double *__pyx_v_c) {
  int __pyx_v_i;
  int __pyx_v_j;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;
  int __pyx_t_5;

  /* "scipy/spatial/qhull.pyx":1138
 *     """
 *     cdef int i, j
 *     c[ndim] = 1.0             # <<<<<<<<<<<<<<
 *     for i in xrange(ndim):
 *         c[i] = 0
 */
  (__pyx_v_c[__pyx_v_ndim]) = 1.0;

  /* "scipy/spatial/qhull.pyx":1139
 *     cdef int i, j
 *     c[ndim] = 1.0
 *     for i in xrange(ndim):             # <<<<<<<<<<<<<<
 *         c[i] = 0
 *         for j in xrange(ndim):
 */
  __pyx_t_1 = __pyx_v_ndim;
  for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_1; __pyx_t_2+=1) {
    __pyx_v_i = __pyx_t_2;

    /* "scipy/spatial/qhull.pyx":1140
 *     c[ndim] = 1.0
 *     for i in xrange(ndim):
 *         c[i] = 0             # <<<<<<<<<<<<<<
 *         for j in xrange(ndim):
 *             c[i] += transform[ndim*i + j] * (x[j] - transform[ndim*ndim + j])
 */
    (__pyx_v_c[__pyx_v_i]) = 0.0;

    /* "scipy/spatial/qhull.pyx":1141
 *     for i in xrange(ndim):
 *         c[i] = 0
 *         for j in xrange(ndim):             # <<<<<<<<<<<<<<
 *             c[i] += transform[ndim*i + j] * (x[j] - transform[ndim*ndim + j])
 *         c[ndim] -= c[i]
 */
    __pyx_t_3 = __pyx_v_ndim;
    for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_3; __pyx_t_4+=1) {
      __pyx_v_j = __pyx_t_4;

      /* "scipy/spatial/qhull.pyx":1142
 *         c[i] = 0
 *         for j in xrange(ndim):
 *             c[i] += transform[ndim*i + j] * (x[j] - transform[ndim*ndim + j])             # <<<<<<<<<<<<<<
 *         c[ndim] -= c[i]
 * 
 */
      __pyx_t_5 = __pyx_v_i;
      (__pyx_v_c[__pyx_t_5]) = ((__pyx_v_c[__pyx_t_5]) + ((__pyx_v_transform[((__pyx_v_ndim * __pyx_v_i) + __pyx_v_j)]) * ((__pyx_v_x[__pyx_v_j]) - (__pyx_v_transform[((__pyx_v_ndim * __pyx_v_ndim) + __pyx_v_j)]))));
    }

    /* "scipy/spatial/qhull.pyx":1143
 *         for j in xrange(ndim):
 *             c[i] += transform[ndim*i + j] * (x[j] - transform[ndim*ndim + j])
 *         c[ndim] -= c[i]             # <<<<<<<<<<<<<<
 * 
 * 
 */
    __pyx_t_3 = __pyx_v_ndim;
    (__pyx_v_c[__pyx_t_3]) = ((__pyx_v_c[__pyx_t_3]) - (__pyx_v_c[__pyx_v_i]));
  }

  /* "scipy/spatial/qhull.pyx":1131
 *             c[i] += transform[ndim*i + j] * (x[j] - transform[ndim*ndim + j])
 * 
 * cdef void _barycentric_coordinates(int ndim, double *transform,             # <<<<<<<<<<<<<<
 *                                    double *x, double *c) nogil:
 *     """
 */

  /* function exit code */
}

/* "scipy/spatial/qhull.pyx":1150
 * #------------------------------------------------------------------------------
 * 
 * cdef void _lift_point(DelaunayInfo_t *d, double *x, double *z) nogil:             # <<<<<<<<<<<<<<
 *     cdef int i
 *     z[d.ndim] = 0
 */

static void __pyx_f_5scipy_7spatial_5qhull__lift_point(__pyx_t_5scipy_7spatial_5qhull_DelaunayInfo_t *__pyx_v_d, double *__pyx_v_x, double *__pyx_v_z) {
  int __pyx_v_i;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;

  /* "scipy/spatial/qhull.pyx":1152
 * cdef void _lift_point(DelaunayInfo_t *d, double *x, double *z) nogil:
 *     cdef int i
 *     z[d.ndim] = 0             # <<<<<<<<<<<<<<
 *     for i in xrange(d.ndim):
 *         z[i] = x[i]
 */
  (__pyx_v_z[__pyx_v_d->ndim]) = 0.0;

  /* "scipy/spatial/qhull.pyx":1153
 *     cdef int i
 *     z[d.ndim] = 0
 *     for i in xrange(d.ndim):             # <<<<<<<<<<<<<<
 *         z[i] = x[i]
 *         z[d.ndim] += x[i]**2
 */
  __pyx_t_1 = __pyx_v_d->ndim;
  for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_1; __pyx_t_2+=1) {
    __pyx_v_i = __pyx_t_2;

    /* "scipy/spatial/qhull.pyx":1154
 *     z[d.ndim] = 0
 *     for i in xrange(d.ndim):
 *         z[i] = x[i]             # <<<<<<<<<<<<<<
 *         z[d.ndim] += x[i]**2
 *     z[d.ndim] *= d.paraboloid_scale
 */
    (__pyx_v_z[__pyx_v_i]) = (__pyx_v_x[__pyx_v_i]);

    /* "scipy/spatial/qhull.pyx":1155
 *     for i in xrange(d.ndim):
 *         z[i] = x[i]
 *         z[d.ndim] += x[i]**2             # <<<<<<<<<<<<<<
 *     z[d.ndim] *= d.paraboloid_scale
 *     z[d.ndim] += d.paraboloid_shift
 */
    __pyx_t_3 = __pyx_v_d->ndim;
    (__pyx_v_z[__pyx_t_3]) = ((__pyx_v_z[__pyx_t_3]) + pow((__pyx_v_x[__pyx_v_i]), 2.0));
  }

  /* "scipy/spatial/qhull.pyx":1156
 *         z[i] = x[i]
 *         z[d.ndim] += x[i]**2
 *     z[d.ndim] *= d.paraboloid_scale             # <<<<<<<<<<<<<<
 *     z[d.ndim] += d.paraboloid_shift
 * 
 */
  __pyx_t_1 = __pyx_v_d->ndim;
  (__pyx_v_z[__pyx_t_1]) = ((__pyx_v_z[__pyx_t_1]) * __pyx_v_d->paraboloid_scale);

  /* "scipy/spatial/qhull.pyx":1157
 *         z[d.ndim] += x[i]**2
 *     z[d.ndim] *= d.paraboloid_scale
 *     z[d.ndim] += d.paraboloid_shift             # <<<<<<<<<<<<<<
 * 
 * cdef double _distplane(DelaunayInfo_t *d, int isimplex, double *point) nogil:
 */
  __pyx_t_1 = __pyx_v_d->ndim;
  (__pyx_v_z[__pyx_t_1]) = ((__pyx_v_z[__pyx_t_1]) + __pyx_v_d->paraboloid_shift);

  /* "scipy/spatial/qhull.pyx":1150
 * #------------------------------------------------------------------------------
 * 
 * cdef void _lift_point(DelaunayInfo_t *d, double *x, double *z) nogil:             # <<<<<<<<<<<<<<
 *     cdef int i
 *     z[d.ndim] = 0
 */

  /* function exit code */
}

/* "scipy/spatial/qhull.pyx":1159
 *     z[d.ndim] += d.paraboloid_shift
 * 
 * cdef double _distplane(DelaunayInfo_t *d, int isimplex, double *point) nogil:             # <<<<<<<<<<<<<<
 *     """
 *     qh_distplane
 */

static double __pyx_f_5scipy_7spatial_5qhull__distplane(__pyx_t_5scipy_7spatial_5qhull_DelaunayInfo_t *__pyx_v_d, int __pyx_v_isimplex, double *__pyx_v_point) {
  double __pyx_v_dist;
  int __pyx_v_k;
  double __pyx_r;
  long __pyx_t_1;
  int __pyx_t_2;

  /* "scipy/spatial/qhull.pyx":1165
 *     cdef double dist
 *     cdef int k
 *     dist = d.equations[isimplex*(d.ndim+2) + d.ndim+1]             # <<<<<<<<<<<<<<
 *     for k in xrange(d.ndim+1):
 *         dist += d.equations[isimplex*(d.ndim+2) + k] * point[k]
 */
  __pyx_v_dist = (__pyx_v_d->equations[(((__pyx_v_isimplex * (__pyx_v_d->ndim + 2)) + __pyx_v_d->ndim) + 1)]);

  /* "scipy/spatial/qhull.pyx":1166
 *     cdef int k
 *     dist = d.equations[isimplex*(d.ndim+2) + d.ndim+1]
 *     for k in xrange(d.ndim+1):             # <<<<<<<<<<<<<<
 *         dist += d.equations[isimplex*(d.ndim+2) + k] * point[k]
 *     return dist
 */
  __pyx_t_1 = (__pyx_v_d->ndim + 1);
  for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_1; __pyx_t_2+=1) {
    __pyx_v_k = __pyx_t_2;

    /* "scipy/spatial/qhull.pyx":1167
 *     dist = d.equations[isimplex*(d.ndim+2) + d.ndim+1]
 *     for k in xrange(d.ndim+1):
 *         dist += d.equations[isimplex*(d.ndim+2) + k] * point[k]             # <<<<<<<<<<<<<<
 *     return dist
 * 
 */
    __pyx_v_dist = (__pyx_v_dist + ((__pyx_v_d->equations[((__pyx_v_isimplex * (__pyx_v_d->ndim + 2)) + __pyx_v_k)]) * (__pyx_v_point[__pyx_v_k])));
  }

  /* "scipy/spatial/qhull.pyx":1168
 *     for k in xrange(d.ndim+1):
 *         dist += d.equations[isimplex*(d.ndim+2) + k] * point[k]
 *     return dist             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_r = __pyx_v_dist;
  goto __pyx_L0;

  /* "scipy/spatial/qhull.pyx":1159
 *     z[d.ndim] += d.paraboloid_shift
 * 
 * cdef double _distplane(DelaunayInfo_t *d, int isimplex, double *point) nogil:             # <<<<<<<<<<<<<<
 *     """
 *     qh_distplane
 */

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

/* "scipy/spatial/qhull.pyx":1175
 * #------------------------------------------------------------------------------
 * 
 * cdef int _is_point_fully_outside(DelaunayInfo_t *d, double *x,             # <<<<<<<<<<<<<<
 *                                  double eps) nogil:
 *     """
 */

static int __pyx_f_5scipy_7spatial_5qhull__is_point_fully_outside(__pyx_t_5scipy_7spatial_5qhull_DelaunayInfo_t *__pyx_v_d, double *__pyx_v_x, double __pyx_v_eps) {
  int __pyx_v_i;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;

  /* "scipy/spatial/qhull.pyx":1183
 * 
 *     cdef int i
 *     for i in xrange(d.ndim):             # <<<<<<<<<<<<<<
 *         if x[i] < d.min_bound[i] - eps or x[i] > d.max_bound[i] + eps:
 *             return 1
 */
  __pyx_t_1 = __pyx_v_d->ndim;
  for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_1; __pyx_t_2+=1) {
    __pyx_v_i = __pyx_t_2;

    /* "scipy/spatial/qhull.pyx":1184
 *     cdef int i
 *     for i in xrange(d.ndim):
 *         if x[i] < d.min_bound[i] - eps or x[i] > d.max_bound[i] + eps:             # <<<<<<<<<<<<<<
 *             return 1
 *     return 0
 */
    __pyx_t_4 = (((__pyx_v_x[__pyx_v_i]) < ((__pyx_v_d->min_bound[__pyx_v_i]) - __pyx_v_eps)) != 0);
    if (!__pyx_t_4) {
    } else {
      __pyx_t_3 = __pyx_t_4;
      goto __pyx_L6_bool_binop_done;
    }
    __pyx_t_4 = (((__pyx_v_x[__pyx_v_i]) > ((__pyx_v_d->max_bound[__pyx_v_i]) + __pyx_v_eps)) != 0);
    __pyx_t_3 = __pyx_t_4;
    __pyx_L6_bool_binop_done:;
    if (__pyx_t_3) {

      /* "scipy/spatial/qhull.pyx":1185
 *     for i in xrange(d.ndim):
 *         if x[i] < d.min_bound[i] - eps or x[i] > d.max_bound[i] + eps:
 *             return 1             # <<<<<<<<<<<<<<
 *     return 0
 * 
 */
      __pyx_r = 1;
      goto __pyx_L0;

      /* "scipy/spatial/qhull.pyx":1184
 *     cdef int i
 *     for i in xrange(d.ndim):
 *         if x[i] < d.min_bound[i] - eps or x[i] > d.max_bound[i] + eps:             # <<<<<<<<<<<<<<
 *             return 1
 *     return 0
 */
    }
  }

  /* "scipy/spatial/qhull.pyx":1186
 *         if x[i] < d.min_bound[i] - eps or x[i] > d.max_bound[i] + eps:
 *             return 1
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * cdef int _find_simplex_bruteforce(DelaunayInfo_t *d, double *c,
 */
  __pyx_r = 0;
  goto __pyx_L0;

  /* "scipy/spatial/qhull.pyx":1175
 * #------------------------------------------------------------------------------
 * 
 * cdef int _is_point_fully_outside(DelaunayInfo_t *d, double *x,             # <<<<<<<<<<<<<<
 *                                  double eps) nogil:
 *     """
 */

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

/* "scipy/spatial/qhull.pyx":1188
 *     return 0
 * 
 * cdef int _find_simplex_bruteforce(DelaunayInfo_t *d, double *c,             # <<<<<<<<<<<<<<
 *                                   double *x, double eps,
 *                                   double eps_broad) nogil:
 */

static int __pyx_f_5scipy_7spatial_5qhull__find_simplex_bruteforce(__pyx_t_5scipy_7spatial_5qhull_DelaunayInfo_t *__pyx_v_d, double *__pyx_v_c, double *__pyx_v_x, double __pyx_v_eps, double __pyx_v_eps_broad) {
  int __pyx_v_inside;
  int __pyx_v_isimplex;
  int __pyx_v_k;
  int __pyx_v_m;
  int __pyx_v_ineighbor;
  double *__pyx_v_transform;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  long __pyx_t_4;
  int __pyx_t_5;
  long __pyx_t_6;
  int __pyx_t_7;
  int __pyx_t_8;

  /* "scipy/spatial/qhull.pyx":1199
 *     cdef double *transform
 * 
 *     if _is_point_fully_outside(d, x, eps):             # <<<<<<<<<<<<<<
 *         return -1
 * 
 */
  __pyx_t_1 = (__pyx_f_5scipy_7spatial_5qhull__is_point_fully_outside(__pyx_v_d, __pyx_v_x, __pyx_v_eps) != 0);
  if (__pyx_t_1) {

    /* "scipy/spatial/qhull.pyx":1200
 * 
 *     if _is_point_fully_outside(d, x, eps):
 *         return -1             # <<<<<<<<<<<<<<
 * 
 *     for isimplex in xrange(d.nsimplex):
 */
    __pyx_r = -1;
    goto __pyx_L0;

    /* "scipy/spatial/qhull.pyx":1199
 *     cdef double *transform
 * 
 *     if _is_point_fully_outside(d, x, eps):             # <<<<<<<<<<<<<<
 *         return -1
 * 
 */
  }

  /* "scipy/spatial/qhull.pyx":1202
 *         return -1
 * 
 *     for isimplex in xrange(d.nsimplex):             # <<<<<<<<<<<<<<
 *         transform = d.transform + isimplex*d.ndim*(d.ndim+1)
 * 
 */
  __pyx_t_2 = __pyx_v_d->nsimplex;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_isimplex = __pyx_t_3;

    /* "scipy/spatial/qhull.pyx":1203
 * 
 *     for isimplex in xrange(d.nsimplex):
 *         transform = d.transform + isimplex*d.ndim*(d.ndim+1)             # <<<<<<<<<<<<<<
 * 
 *         if transform[0] == transform[0]:
 */
    __pyx_v_transform = (__pyx_v_d->transform + ((__pyx_v_isimplex * __pyx_v_d->ndim) * (__pyx_v_d->ndim + 1)));

    /* "scipy/spatial/qhull.pyx":1205
 *         transform = d.transform + isimplex*d.ndim*(d.ndim+1)
 * 
 *         if transform[0] == transform[0]:             # <<<<<<<<<<<<<<
 *             # transform is valid (non-nan)
 *             inside = _barycentric_inside(d.ndim, transform, x, c, eps)
 */
    __pyx_t_1 = (((__pyx_v_transform[0]) == (__pyx_v_transform[0])) != 0);
    if (__pyx_t_1) {

      /* "scipy/spatial/qhull.pyx":1207
 *         if transform[0] == transform[0]:
 *             # transform is valid (non-nan)
 *             inside = _barycentric_inside(d.ndim, transform, x, c, eps)             # <<<<<<<<<<<<<<
 *             if inside:
 *                 return isimplex
 */
      __pyx_v_inside = __pyx_f_5scipy_7spatial_5qhull__barycentric_inside(__pyx_v_d->ndim, __pyx_v_transform, __pyx_v_x, __pyx_v_c, __pyx_v_eps);

      /* "scipy/spatial/qhull.pyx":1208
 *             # transform is valid (non-nan)
 *             inside = _barycentric_inside(d.ndim, transform, x, c, eps)
 *             if inside:             # <<<<<<<<<<<<<<
 *                 return isimplex
 *         else:
 */
      __pyx_t_1 = (__pyx_v_inside != 0);
      if (__pyx_t_1) {

        /* "scipy/spatial/qhull.pyx":1209
 *             inside = _barycentric_inside(d.ndim, transform, x, c, eps)
 *             if inside:
 *                 return isimplex             # <<<<<<<<<<<<<<
 *         else:
 *             # transform is invalid (nan, implying degenerate simplex)
 */
        __pyx_r = __pyx_v_isimplex;
        goto __pyx_L0;

        /* "scipy/spatial/qhull.pyx":1208
 *             # transform is valid (non-nan)
 *             inside = _barycentric_inside(d.ndim, transform, x, c, eps)
 *             if inside:             # <<<<<<<<<<<<<<
 *                 return isimplex
 *         else:
 */
      }

      /* "scipy/spatial/qhull.pyx":1205
 *         transform = d.transform + isimplex*d.ndim*(d.ndim+1)
 * 
 *         if transform[0] == transform[0]:             # <<<<<<<<<<<<<<
 *             # transform is valid (non-nan)
 *             inside = _barycentric_inside(d.ndim, transform, x, c, eps)
 */
      goto __pyx_L6;
    }

    /* "scipy/spatial/qhull.pyx":1216
 *             # with a larger epsilon
 * 
 *             for k in xrange(d.ndim+1):             # <<<<<<<<<<<<<<
 *                 ineighbor = d.neighbors[(d.ndim+1)*isimplex + k]
 *                 if ineighbor == -1:
 */
    /*else*/ {
      __pyx_t_4 = (__pyx_v_d->ndim + 1);
      for (__pyx_t_5 = 0; __pyx_t_5 < __pyx_t_4; __pyx_t_5+=1) {
        __pyx_v_k = __pyx_t_5;

        /* "scipy/spatial/qhull.pyx":1217
 * 
 *             for k in xrange(d.ndim+1):
 *                 ineighbor = d.neighbors[(d.ndim+1)*isimplex + k]             # <<<<<<<<<<<<<<
 *                 if ineighbor == -1:
 *                     continue
 */
        __pyx_v_ineighbor = (__pyx_v_d->neighbors[(((__pyx_v_d->ndim + 1) * __pyx_v_isimplex) + __pyx_v_k)]);

        /* "scipy/spatial/qhull.pyx":1218
 *             for k in xrange(d.ndim+1):
 *                 ineighbor = d.neighbors[(d.ndim+1)*isimplex + k]
 *                 if ineighbor == -1:             # <<<<<<<<<<<<<<
 *                     continue
 * 
 */
        __pyx_t_1 = ((__pyx_v_ineighbor == -1L) != 0);
        if (__pyx_t_1) {

          /* "scipy/spatial/qhull.pyx":1219
 *                 ineighbor = d.neighbors[(d.ndim+1)*isimplex + k]
 *                 if ineighbor == -1:
 *                     continue             # <<<<<<<<<<<<<<
 * 
 *                 transform = d.transform + ineighbor*d.ndim*(d.ndim+1)
 */
          goto __pyx_L8_continue;

          /* "scipy/spatial/qhull.pyx":1218
 *             for k in xrange(d.ndim+1):
 *                 ineighbor = d.neighbors[(d.ndim+1)*isimplex + k]
 *                 if ineighbor == -1:             # <<<<<<<<<<<<<<
 *                     continue
 * 
 */
        }

        /* "scipy/spatial/qhull.pyx":1221
 *                     continue
 * 
 *                 transform = d.transform + ineighbor*d.ndim*(d.ndim+1)             # <<<<<<<<<<<<<<
 *                 if transform[0] != transform[0]:
 *                     # another bad simplex
 */
        __pyx_v_transform = (__pyx_v_d->transform + ((__pyx_v_ineighbor * __pyx_v_d->ndim) * (__pyx_v_d->ndim + 1)));

        /* "scipy/spatial/qhull.pyx":1222
 * 
 *                 transform = d.transform + ineighbor*d.ndim*(d.ndim+1)
 *                 if transform[0] != transform[0]:             # <<<<<<<<<<<<<<
 *                     # another bad simplex
 *                     continue
 */
        __pyx_t_1 = (((__pyx_v_transform[0]) != (__pyx_v_transform[0])) != 0);
        if (__pyx_t_1) {

          /* "scipy/spatial/qhull.pyx":1224
 *                 if transform[0] != transform[0]:
 *                     # another bad simplex
 *                     continue             # <<<<<<<<<<<<<<
 * 
 *                 _barycentric_coordinates(d.ndim, transform, x, c)
 */
          goto __pyx_L8_continue;

          /* "scipy/spatial/qhull.pyx":1222
 * 
 *                 transform = d.transform + ineighbor*d.ndim*(d.ndim+1)
 *                 if transform[0] != transform[0]:             # <<<<<<<<<<<<<<
 *                     # another bad simplex
 *                     continue
 */
        }

        /* "scipy/spatial/qhull.pyx":1226
 *                     continue
 * 
 *                 _barycentric_coordinates(d.ndim, transform, x, c)             # <<<<<<<<<<<<<<
 * 
 *                 # Check that the point lies (almost) inside the
 */
        __pyx_f_5scipy_7spatial_5qhull__barycentric_coordinates(__pyx_v_d->ndim, __pyx_v_transform, __pyx_v_x, __pyx_v_c);

        /* "scipy/spatial/qhull.pyx":1230
 *                 # Check that the point lies (almost) inside the
 *                 # neigbor simplex
 *                 inside = 1             # <<<<<<<<<<<<<<
 *                 for m in xrange(d.ndim+1):
 *                     if d.neighbors[(d.ndim+1)*ineighbor + m] == isimplex:
 */
        __pyx_v_inside = 1;

        /* "scipy/spatial/qhull.pyx":1231
 *                 # neigbor simplex
 *                 inside = 1
 *                 for m in xrange(d.ndim+1):             # <<<<<<<<<<<<<<
 *                     if d.neighbors[(d.ndim+1)*ineighbor + m] == isimplex:
 *                         # allow extra leeway towards isimplex
 */
        __pyx_t_6 = (__pyx_v_d->ndim + 1);
        for (__pyx_t_7 = 0; __pyx_t_7 < __pyx_t_6; __pyx_t_7+=1) {
          __pyx_v_m = __pyx_t_7;

          /* "scipy/spatial/qhull.pyx":1232
 *                 inside = 1
 *                 for m in xrange(d.ndim+1):
 *                     if d.neighbors[(d.ndim+1)*ineighbor + m] == isimplex:             # <<<<<<<<<<<<<<
 *                         # allow extra leeway towards isimplex
 *                         if not (-eps_broad <= c[m] <= 1 + eps):
 */
          __pyx_t_1 = (((__pyx_v_d->neighbors[(((__pyx_v_d->ndim + 1) * __pyx_v_ineighbor) + __pyx_v_m)]) == __pyx_v_isimplex) != 0);
          if (__pyx_t_1) {

            /* "scipy/spatial/qhull.pyx":1234
 *                     if d.neighbors[(d.ndim+1)*ineighbor + m] == isimplex:
 *                         # allow extra leeway towards isimplex
 *                         if not (-eps_broad <= c[m] <= 1 + eps):             # <<<<<<<<<<<<<<
 *                             inside = 0
 *                             break
 */
            __pyx_t_1 = ((-__pyx_v_eps_broad) <= (__pyx_v_c[__pyx_v_m]));
            if (__pyx_t_1) {
              __pyx_t_1 = ((__pyx_v_c[__pyx_v_m]) <= (1.0 + __pyx_v_eps));
            }
            __pyx_t_8 = ((!(__pyx_t_1 != 0)) != 0);
            if (__pyx_t_8) {

              /* "scipy/spatial/qhull.pyx":1235
 *                         # allow extra leeway towards isimplex
 *                         if not (-eps_broad <= c[m] <= 1 + eps):
 *                             inside = 0             # <<<<<<<<<<<<<<
 *                             break
 *                     else:
 */
              __pyx_v_inside = 0;

              /* "scipy/spatial/qhull.pyx":1236
 *                         if not (-eps_broad <= c[m] <= 1 + eps):
 *                             inside = 0
 *                             break             # <<<<<<<<<<<<<<
 *                     else:
 *                         # normal check
 */
              goto __pyx_L13_break;

              /* "scipy/spatial/qhull.pyx":1234
 *                     if d.neighbors[(d.ndim+1)*ineighbor + m] == isimplex:
 *                         # allow extra leeway towards isimplex
 *                         if not (-eps_broad <= c[m] <= 1 + eps):             # <<<<<<<<<<<<<<
 *                             inside = 0
 *                             break
 */
            }

            /* "scipy/spatial/qhull.pyx":1232
 *                 inside = 1
 *                 for m in xrange(d.ndim+1):
 *                     if d.neighbors[(d.ndim+1)*ineighbor + m] == isimplex:             # <<<<<<<<<<<<<<
 *                         # allow extra leeway towards isimplex
 *                         if not (-eps_broad <= c[m] <= 1 + eps):
 */
            goto __pyx_L14;
          }

          /* "scipy/spatial/qhull.pyx":1239
 *                     else:
 *                         # normal check
 *                         if not (-eps <= c[m] <= 1 + eps):             # <<<<<<<<<<<<<<
 *                             inside = 0
 *                             break
 */
          /*else*/ {
            __pyx_t_8 = ((-__pyx_v_eps) <= (__pyx_v_c[__pyx_v_m]));
            if (__pyx_t_8) {
              __pyx_t_8 = ((__pyx_v_c[__pyx_v_m]) <= (1.0 + __pyx_v_eps));
            }
            __pyx_t_1 = ((!(__pyx_t_8 != 0)) != 0);
            if (__pyx_t_1) {

              /* "scipy/spatial/qhull.pyx":1240
 *                         # normal check
 *                         if not (-eps <= c[m] <= 1 + eps):
 *                             inside = 0             # <<<<<<<<<<<<<<
 *                             break
 *                 if inside:
 */
              __pyx_v_inside = 0;

              /* "scipy/spatial/qhull.pyx":1241
 *                         if not (-eps <= c[m] <= 1 + eps):
 *                             inside = 0
 *                             break             # <<<<<<<<<<<<<<
 *                 if inside:
 *                     return ineighbor
 */
              goto __pyx_L13_break;

              /* "scipy/spatial/qhull.pyx":1239
 *                     else:
 *                         # normal check
 *                         if not (-eps <= c[m] <= 1 + eps):             # <<<<<<<<<<<<<<
 *                             inside = 0
 *                             break
 */
            }
          }
          __pyx_L14:;
        }
        __pyx_L13_break:;

        /* "scipy/spatial/qhull.pyx":1242
 *                             inside = 0
 *                             break
 *                 if inside:             # <<<<<<<<<<<<<<
 *                     return ineighbor
 *     return -1
 */
        __pyx_t_1 = (__pyx_v_inside != 0);
        if (__pyx_t_1) {

          /* "scipy/spatial/qhull.pyx":1243
 *                             break
 *                 if inside:
 *                     return ineighbor             # <<<<<<<<<<<<<<
 *     return -1
 * 
 */
          __pyx_r = __pyx_v_ineighbor;
          goto __pyx_L0;

          /* "scipy/spatial/qhull.pyx":1242
 *                             inside = 0
 *                             break
 *                 if inside:             # <<<<<<<<<<<<<<
 *                     return ineighbor
 *     return -1
 */
        }
        __pyx_L8_continue:;
      }
    }
    __pyx_L6:;
  }

  /* "scipy/spatial/qhull.pyx":1244
 *                 if inside:
 *                     return ineighbor
 *     return -1             # <<<<<<<<<<<<<<
 * 
 * cdef int _find_simplex_directed(DelaunayInfo_t *d, double *c,
 */
  __pyx_r = -1;
  goto __pyx_L0;

  /* "scipy/spatial/qhull.pyx":1188
 *     return 0
 * 
 * cdef int _find_simplex_bruteforce(DelaunayInfo_t *d, double *c,             # <<<<<<<<<<<<<<
 *                                   double *x, double eps,
 *                                   double eps_broad) nogil:
 */

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

/* "scipy/spatial/qhull.pyx":1246
 *     return -1
 * 
 * cdef int _find_simplex_directed(DelaunayInfo_t *d, double *c,             # <<<<<<<<<<<<<<
 *                                 double *x, int *start, double eps,
 *                                 double eps_broad) nogil:
 */

static int __pyx_f_5scipy_7spatial_5qhull__find_simplex_directed(__pyx_t_5scipy_7spatial_5qhull_DelaunayInfo_t *__pyx_v_d, double *__pyx_v_c, double *__pyx_v_x, int *__pyx_v_start, double __pyx_v_eps, double __pyx_v_eps_broad) {
  int __pyx_v_k;
  int __pyx_v_m;
  int __pyx_v_ndim;
  int __pyx_v_inside;
  int __pyx_v_isimplex;
  CYTHON_UNUSED int __pyx_v_cycle_k;
  double *__pyx_v_transform;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  long __pyx_t_4;
  long __pyx_t_5;
  int __pyx_t_6;

  /* "scipy/spatial/qhull.pyx":1291
 *     cdef double v
 * 
 *     ndim = d.ndim             # <<<<<<<<<<<<<<
 *     isimplex = start[0]
 * 
 */
  __pyx_t_1 = __pyx_v_d->ndim;
  __pyx_v_ndim = __pyx_t_1;

  /* "scipy/spatial/qhull.pyx":1292
 * 
 *     ndim = d.ndim
 *     isimplex = start[0]             # <<<<<<<<<<<<<<
 * 
 *     if isimplex < 0 or isimplex >= d.nsimplex:
 */
  __pyx_v_isimplex = (__pyx_v_start[0]);

  /* "scipy/spatial/qhull.pyx":1294
 *     isimplex = start[0]
 * 
 *     if isimplex < 0 or isimplex >= d.nsimplex:             # <<<<<<<<<<<<<<
 *         isimplex = 0
 * 
 */
  __pyx_t_3 = ((__pyx_v_isimplex < 0) != 0);
  if (!__pyx_t_3) {
  } else {
    __pyx_t_2 = __pyx_t_3;
    goto __pyx_L4_bool_binop_done;
  }
  __pyx_t_3 = ((__pyx_v_isimplex >= __pyx_v_d->nsimplex) != 0);
  __pyx_t_2 = __pyx_t_3;
  __pyx_L4_bool_binop_done:;
  if (__pyx_t_2) {

    /* "scipy/spatial/qhull.pyx":1295
 * 
 *     if isimplex < 0 or isimplex >= d.nsimplex:
 *         isimplex = 0             # <<<<<<<<<<<<<<
 * 
 *     # The maximum iteration count: it should be large enough so that
 */
    __pyx_v_isimplex = 0;

    /* "scipy/spatial/qhull.pyx":1294
 *     isimplex = start[0]
 * 
 *     if isimplex < 0 or isimplex >= d.nsimplex:             # <<<<<<<<<<<<<<
 *         isimplex = 0
 * 
 */
  }

  /* "scipy/spatial/qhull.pyx":1302
 *     # still comes from the brute force search.
 * 
 *     for cycle_k in range(1 + d.nsimplex//4):             # <<<<<<<<<<<<<<
 *         if isimplex == -1:
 *             break
 */
  __pyx_t_4 = (1 + __Pyx_div_long(__pyx_v_d->nsimplex, 4));
  for (__pyx_t_1 = 0; __pyx_t_1 < __pyx_t_4; __pyx_t_1+=1) {
    __pyx_v_cycle_k = __pyx_t_1;

    /* "scipy/spatial/qhull.pyx":1303
 * 
 *     for cycle_k in range(1 + d.nsimplex//4):
 *         if isimplex == -1:             # <<<<<<<<<<<<<<
 *             break
 * 
 */
    __pyx_t_2 = ((__pyx_v_isimplex == -1L) != 0);
    if (__pyx_t_2) {

      /* "scipy/spatial/qhull.pyx":1304
 *     for cycle_k in range(1 + d.nsimplex//4):
 *         if isimplex == -1:
 *             break             # <<<<<<<<<<<<<<
 * 
 *         transform = d.transform + isimplex*ndim*(ndim+1)
 */
      goto __pyx_L7_break;

      /* "scipy/spatial/qhull.pyx":1303
 * 
 *     for cycle_k in range(1 + d.nsimplex//4):
 *         if isimplex == -1:             # <<<<<<<<<<<<<<
 *             break
 * 
 */
    }

    /* "scipy/spatial/qhull.pyx":1306
 *             break
 * 
 *         transform = d.transform + isimplex*ndim*(ndim+1)             # <<<<<<<<<<<<<<
 * 
 *         inside = 1
 */
    __pyx_v_transform = (__pyx_v_d->transform + ((__pyx_v_isimplex * __pyx_v_ndim) * (__pyx_v_ndim + 1)));

    /* "scipy/spatial/qhull.pyx":1308
 *         transform = d.transform + isimplex*ndim*(ndim+1)
 * 
 *         inside = 1             # <<<<<<<<<<<<<<
 *         for k in xrange(ndim+1):
 *             _barycentric_coordinate_single(ndim, transform, x, c, k)
 */
    __pyx_v_inside = 1;

    /* "scipy/spatial/qhull.pyx":1309
 * 
 *         inside = 1
 *         for k in xrange(ndim+1):             # <<<<<<<<<<<<<<
 *             _barycentric_coordinate_single(ndim, transform, x, c, k)
 * 
 */
    __pyx_t_5 = (__pyx_v_ndim + 1);
    for (__pyx_t_6 = 0; __pyx_t_6 < __pyx_t_5; __pyx_t_6+=1) {
      __pyx_v_k = __pyx_t_6;

      /* "scipy/spatial/qhull.pyx":1310
 *         inside = 1
 *         for k in xrange(ndim+1):
 *             _barycentric_coordinate_single(ndim, transform, x, c, k)             # <<<<<<<<<<<<<<
 * 
 *             if c[k] < -eps:
 */
      __pyx_f_5scipy_7spatial_5qhull__barycentric_coordinate_single(__pyx_v_ndim, __pyx_v_transform, __pyx_v_x, __pyx_v_c, __pyx_v_k);

      /* "scipy/spatial/qhull.pyx":1312
 *             _barycentric_coordinate_single(ndim, transform, x, c, k)
 * 
 *             if c[k] < -eps:             # <<<<<<<<<<<<<<
 *                 # The target point is in the direction of neighbor `k`!
 *                 m = d.neighbors[(ndim+1)*isimplex + k]
 */
      __pyx_t_2 = (((__pyx_v_c[__pyx_v_k]) < (-__pyx_v_eps)) != 0);
      if (__pyx_t_2) {

        /* "scipy/spatial/qhull.pyx":1314
 *             if c[k] < -eps:
 *                 # The target point is in the direction of neighbor `k`!
 *                 m = d.neighbors[(ndim+1)*isimplex + k]             # <<<<<<<<<<<<<<
 *                 if m == -1:
 *                     # The point is outside the triangulation: bail out
 */
        __pyx_v_m = (__pyx_v_d->neighbors[(((__pyx_v_ndim + 1) * __pyx_v_isimplex) + __pyx_v_k)]);

        /* "scipy/spatial/qhull.pyx":1315
 *                 # The target point is in the direction of neighbor `k`!
 *                 m = d.neighbors[(ndim+1)*isimplex + k]
 *                 if m == -1:             # <<<<<<<<<<<<<<
 *                     # The point is outside the triangulation: bail out
 *                     start[0] = isimplex
 */
        __pyx_t_2 = ((__pyx_v_m == -1L) != 0);
        if (__pyx_t_2) {

          /* "scipy/spatial/qhull.pyx":1317
 *                 if m == -1:
 *                     # The point is outside the triangulation: bail out
 *                     start[0] = isimplex             # <<<<<<<<<<<<<<
 *                     return -1
 * 
 */
          (__pyx_v_start[0]) = __pyx_v_isimplex;

          /* "scipy/spatial/qhull.pyx":1318
 *                     # The point is outside the triangulation: bail out
 *                     start[0] = isimplex
 *                     return -1             # <<<<<<<<<<<<<<
 * 
 *                 isimplex = m
 */
          __pyx_r = -1;
          goto __pyx_L0;

          /* "scipy/spatial/qhull.pyx":1315
 *                 # The target point is in the direction of neighbor `k`!
 *                 m = d.neighbors[(ndim+1)*isimplex + k]
 *                 if m == -1:             # <<<<<<<<<<<<<<
 *                     # The point is outside the triangulation: bail out
 *                     start[0] = isimplex
 */
        }

        /* "scipy/spatial/qhull.pyx":1320
 *                     return -1
 * 
 *                 isimplex = m             # <<<<<<<<<<<<<<
 *                 inside = -1
 *                 break
 */
        __pyx_v_isimplex = __pyx_v_m;

        /* "scipy/spatial/qhull.pyx":1321
 * 
 *                 isimplex = m
 *                 inside = -1             # <<<<<<<<<<<<<<
 *                 break
 *             elif c[k] <= 1 + eps:
 */
        __pyx_v_inside = -1;

        /* "scipy/spatial/qhull.pyx":1322
 *                 isimplex = m
 *                 inside = -1
 *                 break             # <<<<<<<<<<<<<<
 *             elif c[k] <= 1 + eps:
 *                 # we're inside this simplex
 */
        goto __pyx_L10_break;

        /* "scipy/spatial/qhull.pyx":1312
 *             _barycentric_coordinate_single(ndim, transform, x, c, k)
 * 
 *             if c[k] < -eps:             # <<<<<<<<<<<<<<
 *                 # The target point is in the direction of neighbor `k`!
 *                 m = d.neighbors[(ndim+1)*isimplex + k]
 */
      }

      /* "scipy/spatial/qhull.pyx":1323
 *                 inside = -1
 *                 break
 *             elif c[k] <= 1 + eps:             # <<<<<<<<<<<<<<
 *                 # we're inside this simplex
 *                 pass
 */
      __pyx_t_2 = (((__pyx_v_c[__pyx_v_k]) <= (1.0 + __pyx_v_eps)) != 0);
      if (__pyx_t_2) {
        goto __pyx_L11;
      }

      /* "scipy/spatial/qhull.pyx":1328
 *             else:
 *                 # we're outside (or the coordinate is nan; a degenerate simplex)
 *                 inside = 0             # <<<<<<<<<<<<<<
 * 
 *         if inside == -1:
 */
      /*else*/ {
        __pyx_v_inside = 0;
      }
      __pyx_L11:;
    }
    __pyx_L10_break:;

    /* "scipy/spatial/qhull.pyx":1330
 *                 inside = 0
 * 
 *         if inside == -1:             # <<<<<<<<<<<<<<
 *             # hopped to another simplex
 *             continue
 */
    switch (__pyx_v_inside) {
      case -1L:

      /* "scipy/spatial/qhull.pyx":1332
 *         if inside == -1:
 *             # hopped to another simplex
 *             continue             # <<<<<<<<<<<<<<
 *         elif inside == 1:
 *             # we've found the right one!
 */
      goto __pyx_L6_continue;

      /* "scipy/spatial/qhull.pyx":1330
 *                 inside = 0
 * 
 *         if inside == -1:             # <<<<<<<<<<<<<<
 *             # hopped to another simplex
 *             continue
 */
      break;

      /* "scipy/spatial/qhull.pyx":1333
 *             # hopped to another simplex
 *             continue
 *         elif inside == 1:             # <<<<<<<<<<<<<<
 *             # we've found the right one!
 *             break
 */
      case 1:

      /* "scipy/spatial/qhull.pyx":1335
 *         elif inside == 1:
 *             # we've found the right one!
 *             break             # <<<<<<<<<<<<<<
 *         else:
 *             # we've failed utterly (degenerate simplices in the way).
 */
      goto __pyx_L7_break;

      /* "scipy/spatial/qhull.pyx":1333
 *             # hopped to another simplex
 *             continue
 *         elif inside == 1:             # <<<<<<<<<<<<<<
 *             # we've found the right one!
 *             break
 */
      break;
      default:

      /* "scipy/spatial/qhull.pyx":1339
 *             # we've failed utterly (degenerate simplices in the way).
 *             # fall back to brute force
 *             isimplex = _find_simplex_bruteforce(d, c, x, eps, eps_broad)             # <<<<<<<<<<<<<<
 *             break
 *     else:
 */
      __pyx_v_isimplex = __pyx_f_5scipy_7spatial_5qhull__find_simplex_bruteforce(__pyx_v_d, __pyx_v_c, __pyx_v_x, __pyx_v_eps, __pyx_v_eps_broad);

      /* "scipy/spatial/qhull.pyx":1340
 *             # fall back to brute force
 *             isimplex = _find_simplex_bruteforce(d, c, x, eps, eps_broad)
 *             break             # <<<<<<<<<<<<<<
 *     else:
 *         # the algorithm failed to converge -- fall back to brute force
 */
      goto __pyx_L7_break;
      break;
    }
    __pyx_L6_continue:;
  }
  /*else*/ {

    /* "scipy/spatial/qhull.pyx":1343
 *     else:
 *         # the algorithm failed to converge -- fall back to brute force
 *         isimplex = _find_simplex_bruteforce(d, c, x, eps, eps_broad)             # <<<<<<<<<<<<<<
 * 
 *     start[0] = isimplex
 */
    __pyx_v_isimplex = __pyx_f_5scipy_7spatial_5qhull__find_simplex_bruteforce(__pyx_v_d, __pyx_v_c, __pyx_v_x, __pyx_v_eps, __pyx_v_eps_broad);
  }
  __pyx_L7_break:;

  /* "scipy/spatial/qhull.pyx":1345
 *         isimplex = _find_simplex_bruteforce(d, c, x, eps, eps_broad)
 * 
 *     start[0] = isimplex             # <<<<<<<<<<<<<<
 *     return isimplex
 * 
 */
  (__pyx_v_start[0]) = __pyx_v_isimplex;

  /* "scipy/spatial/qhull.pyx":1346
 * 
 *     start[0] = isimplex
 *     return isimplex             # <<<<<<<<<<<<<<
 * 
 * cdef int _find_simplex(DelaunayInfo_t *d, double *c,
 */
  __pyx_r = __pyx_v_isimplex;
  goto __pyx_L0;

  /* "scipy/spatial/qhull.pyx":1246
 *     return -1
 * 
 * cdef int _find_simplex_directed(DelaunayInfo_t *d, double *c,             # <<<<<<<<<<<<<<
 *                                 double *x, int *start, double eps,
 *                                 double eps_broad) nogil:
 */

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

/* "scipy/spatial/qhull.pyx":1348
 *     return isimplex
 * 
 * cdef int _find_simplex(DelaunayInfo_t *d, double *c,             # <<<<<<<<<<<<<<
 *                        double *x, int *start, double eps,
 *                        double eps_broad) nogil:
 */

static int __pyx_f_5scipy_7spatial_5qhull__find_simplex(__pyx_t_5scipy_7spatial_5qhull_DelaunayInfo_t *__pyx_v_d, double *__pyx_v_c, double *__pyx_v_x, int *__pyx_v_start, double __pyx_v_eps, double __pyx_v_eps_broad) {
  int __pyx_v_isimplex;
  int __pyx_v_k;
  int __pyx_v_ineigh;
  int __pyx_v_ndim;
  double __pyx_v_z[(NPY_MAXDIMS + 1)];
  double __pyx_v_best_dist;
  double __pyx_v_dist;
  int __pyx_v_changed;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  long __pyx_t_4;

  /* "scipy/spatial/qhull.pyx":1410
 *     cdef int changed
 * 
 *     if _is_point_fully_outside(d, x, eps):             # <<<<<<<<<<<<<<
 *         return -1
 *     if d.nsimplex <= 0:
 */
  __pyx_t_1 = (__pyx_f_5scipy_7spatial_5qhull__is_point_fully_outside(__pyx_v_d, __pyx_v_x, __pyx_v_eps) != 0);
  if (__pyx_t_1) {

    /* "scipy/spatial/qhull.pyx":1411
 * 
 *     if _is_point_fully_outside(d, x, eps):
 *         return -1             # <<<<<<<<<<<<<<
 *     if d.nsimplex <= 0:
 *         return -1
 */
    __pyx_r = -1;
    goto __pyx_L0;

    /* "scipy/spatial/qhull.pyx":1410
 *     cdef int changed
 * 
 *     if _is_point_fully_outside(d, x, eps):             # <<<<<<<<<<<<<<
 *         return -1
 *     if d.nsimplex <= 0:
 */
  }

  /* "scipy/spatial/qhull.pyx":1412
 *     if _is_point_fully_outside(d, x, eps):
 *         return -1
 *     if d.nsimplex <= 0:             # <<<<<<<<<<<<<<
 *         return -1
 * 
 */
  __pyx_t_1 = ((__pyx_v_d->nsimplex <= 0) != 0);
  if (__pyx_t_1) {

    /* "scipy/spatial/qhull.pyx":1413
 *         return -1
 *     if d.nsimplex <= 0:
 *         return -1             # <<<<<<<<<<<<<<
 * 
 *     ndim = d.ndim
 */
    __pyx_r = -1;
    goto __pyx_L0;

    /* "scipy/spatial/qhull.pyx":1412
 *     if _is_point_fully_outside(d, x, eps):
 *         return -1
 *     if d.nsimplex <= 0:             # <<<<<<<<<<<<<<
 *         return -1
 * 
 */
  }

  /* "scipy/spatial/qhull.pyx":1415
 *         return -1
 * 
 *     ndim = d.ndim             # <<<<<<<<<<<<<<
 *     isimplex = start[0]
 * 
 */
  __pyx_t_2 = __pyx_v_d->ndim;
  __pyx_v_ndim = __pyx_t_2;

  /* "scipy/spatial/qhull.pyx":1416
 * 
 *     ndim = d.ndim
 *     isimplex = start[0]             # <<<<<<<<<<<<<<
 * 
 *     if isimplex < 0 or isimplex >= d.nsimplex:
 */
  __pyx_v_isimplex = (__pyx_v_start[0]);

  /* "scipy/spatial/qhull.pyx":1418
 *     isimplex = start[0]
 * 
 *     if isimplex < 0 or isimplex >= d.nsimplex:             # <<<<<<<<<<<<<<
 *         isimplex = 0
 * 
 */
  __pyx_t_3 = ((__pyx_v_isimplex < 0) != 0);
  if (!__pyx_t_3) {
  } else {
    __pyx_t_1 = __pyx_t_3;
    goto __pyx_L6_bool_binop_done;
  }
  __pyx_t_3 = ((__pyx_v_isimplex >= __pyx_v_d->nsimplex) != 0);
  __pyx_t_1 = __pyx_t_3;
  __pyx_L6_bool_binop_done:;
  if (__pyx_t_1) {

    /* "scipy/spatial/qhull.pyx":1419
 * 
 *     if isimplex < 0 or isimplex >= d.nsimplex:
 *         isimplex = 0             # <<<<<<<<<<<<<<
 * 
 *     # Lift point to paraboloid
 */
    __pyx_v_isimplex = 0;

    /* "scipy/spatial/qhull.pyx":1418
 *     isimplex = start[0]
 * 
 *     if isimplex < 0 or isimplex >= d.nsimplex:             # <<<<<<<<<<<<<<
 *         isimplex = 0
 * 
 */
  }

  /* "scipy/spatial/qhull.pyx":1422
 * 
 *     # Lift point to paraboloid
 *     _lift_point(d, x, z)             # <<<<<<<<<<<<<<
 * 
 *     # Walk the tesselation searching for a facet with a positive planar distance
 */
  __pyx_f_5scipy_7spatial_5qhull__lift_point(__pyx_v_d, __pyx_v_x, __pyx_v_z);

  /* "scipy/spatial/qhull.pyx":1425
 * 
 *     # Walk the tesselation searching for a facet with a positive planar distance
 *     best_dist = _distplane(d, isimplex, z)             # <<<<<<<<<<<<<<
 *     changed = 1
 *     while changed:
 */
  __pyx_v_best_dist = __pyx_f_5scipy_7spatial_5qhull__distplane(__pyx_v_d, __pyx_v_isimplex, __pyx_v_z);

  /* "scipy/spatial/qhull.pyx":1426
 *     # Walk the tesselation searching for a facet with a positive planar distance
 *     best_dist = _distplane(d, isimplex, z)
 *     changed = 1             # <<<<<<<<<<<<<<
 *     while changed:
 *         if best_dist > 0:
 */
  __pyx_v_changed = 1;

  /* "scipy/spatial/qhull.pyx":1427
 *     best_dist = _distplane(d, isimplex, z)
 *     changed = 1
 *     while changed:             # <<<<<<<<<<<<<<
 *         if best_dist > 0:
 *             break
 */
  while (1) {
    __pyx_t_1 = (__pyx_v_changed != 0);
    if (!__pyx_t_1) break;

    /* "scipy/spatial/qhull.pyx":1428
 *     changed = 1
 *     while changed:
 *         if best_dist > 0:             # <<<<<<<<<<<<<<
 *             break
 *         changed = 0
 */
    __pyx_t_1 = ((__pyx_v_best_dist > 0.0) != 0);
    if (__pyx_t_1) {

      /* "scipy/spatial/qhull.pyx":1429
 *     while changed:
 *         if best_dist > 0:
 *             break             # <<<<<<<<<<<<<<
 *         changed = 0
 *         for k in xrange(ndim+1):
 */
      goto __pyx_L9_break;

      /* "scipy/spatial/qhull.pyx":1428
 *     changed = 1
 *     while changed:
 *         if best_dist > 0:             # <<<<<<<<<<<<<<
 *             break
 *         changed = 0
 */
    }

    /* "scipy/spatial/qhull.pyx":1430
 *         if best_dist > 0:
 *             break
 *         changed = 0             # <<<<<<<<<<<<<<
 *         for k in xrange(ndim+1):
 *             ineigh = d.neighbors[(ndim+1)*isimplex + k]
 */
    __pyx_v_changed = 0;

    /* "scipy/spatial/qhull.pyx":1431
 *             break
 *         changed = 0
 *         for k in xrange(ndim+1):             # <<<<<<<<<<<<<<
 *             ineigh = d.neighbors[(ndim+1)*isimplex + k]
 *             if ineigh == -1:
 */
    __pyx_t_4 = (__pyx_v_ndim + 1);
    for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_4; __pyx_t_2+=1) {
      __pyx_v_k = __pyx_t_2;

      /* "scipy/spatial/qhull.pyx":1432
 *         changed = 0
 *         for k in xrange(ndim+1):
 *             ineigh = d.neighbors[(ndim+1)*isimplex + k]             # <<<<<<<<<<<<<<
 *             if ineigh == -1:
 *                 continue
 */
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    /* "View.MemoryView":735
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 *     if isinstance(memview, _memoryviewslice):
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 *                                     memviewsliceobj.to_object_func,
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 */
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    /* "View.MemoryView":736
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 *                                     memviewsliceobj.to_object_func,             # <<<<<<<<<<<<<<
 *                                     memviewsliceobj.to_dtype_func,
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    /* "View.MemoryView":737
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    /* "View.MemoryView":735
 * 
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 *                                     memviewsliceobj.to_object_func,
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 */
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 *     if isinstance(memview, _memoryviewslice):             # <<<<<<<<<<<<<<
 *         return memoryview_fromslice(dst, new_ndim,
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 */
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 *                                     memview.dtype_is_object)
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 */
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 * 
 */
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 */
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/* "View.MemoryView":765
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 * cdef int slice_memviewslice(             # <<<<<<<<<<<<<<
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 */

static int __pyx_memoryview_slice_memviewslice(__Pyx_memviewslice *__pyx_v_dst, Py_ssize_t __pyx_v_shape, Py_ssize_t __pyx_v_stride, Py_ssize_t __pyx_v_suboffset, int __pyx_v_dim, int __pyx_v_new_ndim, int *__pyx_v_suboffset_dim, Py_ssize_t __pyx_v_start, Py_ssize_t __pyx_v_stop, Py_ssize_t __pyx_v_step, int __pyx_v_have_start, int __pyx_v_have_stop, int __pyx_v_have_step, int __pyx_v_is_slice) {
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  int __pyx_t_2;
  int __pyx_t_3;
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 * 
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 * 
 *         if start < 0:
 */
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 * 
 *         if start < 0:
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 */
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 * 
 *         if start < 0:             # <<<<<<<<<<<<<<
 *             start += shape
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 */
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      /* "View.MemoryView":790
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 *     else:
 * 
 */
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      /* "View.MemoryView":789
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 *             _err_dim(IndexError, "Index out of bounds (axis %d)", dim)
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 */
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 * 
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 * 
 *         if start < 0:
 */
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  /* "View.MemoryView":793
 *     else:
 * 
 *         negative_step = have_step != 0 and step < 0             # <<<<<<<<<<<<<<
 * 
 *         if have_step and step == 0:
 */
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      __pyx_t_2 = __pyx_t_1;
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 *         negative_step = have_step != 0 and step < 0
 * 
 *         if have_step and step == 0:             # <<<<<<<<<<<<<<
 *             _err_dim(ValueError, "Step may not be zero (axis %d)", dim)
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 */
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      __pyx_t_2 = __pyx_t_1;
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    }
    __pyx_t_1 = ((__pyx_v_step == 0) != 0);
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      /* "View.MemoryView":796
 * 
 *         if have_step and step == 0:
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 * 
 * 
 */
      __pyx_t_3 = __pyx_memoryview_err_dim(__pyx_builtin_ValueError, __pyx_k_Step_may_not_be_zero_axis_d, __pyx_v_dim); if (unlikely(__pyx_t_3 == -1)) {__pyx_filename = __pyx_f[3]; __pyx_lineno = 796; __pyx_clineno = __LINE__; goto __pyx_L1_error;}

      /* "View.MemoryView":795
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 * 
 *         if have_step and step == 0:             # <<<<<<<<<<<<<<
 *             _err_dim(ValueError, "Step may not be zero (axis %d)", dim)
 * 
 */
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    /* "View.MemoryView":799
 * 
 * 
 *         if have_start:             # <<<<<<<<<<<<<<
 *             if start < 0:
 *                 start += shape
 */
    __pyx_t_2 = (__pyx_v_have_start != 0);
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      /* "View.MemoryView":800
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 *         if have_start:
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 *                 start += shape
 *                 if start < 0:
 */
      __pyx_t_2 = ((__pyx_v_start < 0) != 0);
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        /* "View.MemoryView":801
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 *                 start += shape             # <<<<<<<<<<<<<<
 *                 if start < 0:
 *                     start = 0
 */
        __pyx_v_start = (__pyx_v_start + __pyx_v_shape);

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

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

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

        /* "View.MemoryView":800
 * 
 *         if have_start:
 *             if start < 0:             # <<<<<<<<<<<<<<
 *                 start += shape
 *                 if start < 0:
 */
        goto __pyx_L12;
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      /* "View.MemoryView":804
 *                 if start < 0:
 *                     start = 0
 *             elif start >= shape:             # <<<<<<<<<<<<<<
 *                 if negative_step:
 *                     start = shape - 1
 */
      __pyx_t_2 = ((__pyx_v_start >= __pyx_v_shape) != 0);
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        /* "View.MemoryView":805
 *                     start = 0
 *             elif start >= shape:
 *                 if negative_step:             # <<<<<<<<<<<<<<
 *                     start = shape - 1
 *                 else:
 */
        __pyx_t_2 = (__pyx_v_negative_step != 0);
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          /* "View.MemoryView":806
 *             elif start >= shape:
 *                 if negative_step:
 *                     start = shape - 1             # <<<<<<<<<<<<<<
 *                 else:
 *                     start = shape
 */
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          /* "View.MemoryView":805
 *                     start = 0
 *             elif start >= shape:
 *                 if negative_step:             # <<<<<<<<<<<<<<
 *                     start = shape - 1
 *                 else:
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        /* "View.MemoryView":808
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 *                 else:
 *                     start = shape             # <<<<<<<<<<<<<<
 *         else:
 *             if negative_step:
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        /*else*/ {
          __pyx_v_start = __pyx_v_shape;
        }
        __pyx_L14:;

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

        /* "View.MemoryView":823
 *                 stop = shape
 *         else:
 *             if negative_step:             # <<<<<<<<<<<<<<
 *                 stop = -1
 *             else:
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        goto __pyx_L19;
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      /* "View.MemoryView":826
 *                 stop = -1
 *             else:
 *                 stop = shape             # <<<<<<<<<<<<<<
 * 
 *         if not have_step:
 */
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    /* "View.MemoryView":828
 *                 stop = shape
 * 
 *         if not have_step:             # <<<<<<<<<<<<<<
 *             step = 1
 * 
 */
    __pyx_t_2 = ((!(__pyx_v_have_step != 0)) != 0);
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      /* "View.MemoryView":829
 * 
 *         if not have_step:
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 * 
 * 
 */
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      /* "View.MemoryView":828
 *                 stop = shape
 * 
 *         if not have_step:             # <<<<<<<<<<<<<<
 *             step = 1
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 */
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 * 
 *         with cython.cdivision(True):
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 * 
 *             if (stop - start) - step * new_shape:
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 * 
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 * 
 */
    __pyx_t_2 = (((__pyx_v_stop - __pyx_v_start) - (__pyx_v_step * __pyx_v_new_shape)) != 0);
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      /* "View.MemoryView":836
 * 
 *             if (stop - start) - step * new_shape:
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 * 
 *         if new_shape < 0:
 */
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      /* "View.MemoryView":835
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 * 
 *             if (stop - start) - step * new_shape:             # <<<<<<<<<<<<<<
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 * 
 */
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    /* "View.MemoryView":838
 *                 new_shape += 1
 * 
 *         if new_shape < 0:             # <<<<<<<<<<<<<<
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 */
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      /* "View.MemoryView":839
 * 
 *         if new_shape < 0:
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 * 
 */
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      /* "View.MemoryView":838
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 */
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 * 
 * 
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 * 
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 */
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 *         dst.strides[new_ndim] = stride * step
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 *         dst.suboffsets[new_ndim] = suboffset             # <<<<<<<<<<<<<<
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 * 
 */
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 * 
 * 
 *     if suboffset_dim[0] < 0:             # <<<<<<<<<<<<<<
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 * 
 *     if suboffset_dim[0] < 0:
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    /* "View.MemoryView":847
 * 
 * 
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      /* "View.MemoryView":854
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        /* "View.MemoryView":855
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        /* "View.MemoryView":854
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static Py_ssize_t abs_py_ssize_t(Py_ssize_t __pyx_v_arg) {
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/* "View.MemoryView":1072
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 */
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    /* "View.MemoryView":1086
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 */
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/* "View.MemoryView":1096
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static void _copy_strided_to_strided(char *__pyx_v_src_data, Py_ssize_t *__pyx_v_src_strides, char *__pyx_v_dst_data, Py_ssize_t *__pyx_v_dst_strides, Py_ssize_t *__pyx_v_src_shape, Py_ssize_t *__pyx_v_dst_shape, int __pyx_v_ndim, size_t __pyx_v_itemsize) {
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  /* "View.MemoryView":1104
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  /* "View.MemoryView":1105
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 *        if (src_stride > 0 and dst_stride > 0 and
 *            <size_t> src_stride == itemsize == <size_t> dst_stride):
 *            memcpy(dst_data, src_data, itemsize * dst_extent)             # <<<<<<<<<<<<<<
 *        else:
 *            for i in range(dst_extent):
 */
      memcpy(__pyx_v_dst_data, __pyx_v_src_data, (__pyx_v_itemsize * __pyx_v_dst_extent));

      /* "View.MemoryView":1109
 * 
 *     if ndim == 1:
 *        if (src_stride > 0 and dst_stride > 0 and             # <<<<<<<<<<<<<<
 *            <size_t> src_stride == itemsize == <size_t> dst_stride):
 *            memcpy(dst_data, src_data, itemsize * dst_extent)
 */
      goto __pyx_L4;
    }

    /* "View.MemoryView":1113
 *            memcpy(dst_data, src_data, itemsize * dst_extent)
 *        else:
 *            for i in range(dst_extent):             # <<<<<<<<<<<<<<
 *                memcpy(dst_data, src_data, itemsize)
 *                src_data += src_stride
 */
    /*else*/ {
      __pyx_t_4 = __pyx_v_dst_extent;
      for (__pyx_t_5 = 0; __pyx_t_5 < __pyx_t_4; __pyx_t_5+=1) {
        __pyx_v_i = __pyx_t_5;

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

        /* "View.MemoryView":1115
 *            for i in range(dst_extent):
 *                memcpy(dst_data, src_data, itemsize)
 *                src_data += src_stride             # <<<<<<<<<<<<<<
 *                dst_data += dst_stride
 *     else:
 */
        __pyx_v_src_data = (__pyx_v_src_data + __pyx_v_src_stride);

        /* "View.MemoryView":1116
 *                memcpy(dst_data, src_data, itemsize)
 *                src_data += src_stride
 *                dst_data += dst_stride             # <<<<<<<<<<<<<<
 *     else:
 *         for i in range(dst_extent):
 */
        __pyx_v_dst_data = (__pyx_v_dst_data + __pyx_v_dst_stride);
      }
    }
    __pyx_L4:;

    /* "View.MemoryView":1108
 *     cdef Py_ssize_t dst_stride = dst_strides[0]
 * 
 *     if ndim == 1:             # <<<<<<<<<<<<<<
 *        if (src_stride > 0 and dst_stride > 0 and
 *            <size_t> src_stride == itemsize == <size_t> dst_stride):
 */
    goto __pyx_L3;
  }

  /* "View.MemoryView":1118
 *                dst_data += dst_stride
 *     else:
 *         for i in range(dst_extent):             # <<<<<<<<<<<<<<
 *             _copy_strided_to_strided(src_data, src_strides + 1,
 *                                      dst_data, dst_strides + 1,
 */
  /*else*/ {
    __pyx_t_4 = __pyx_v_dst_extent;
    for (__pyx_t_5 = 0; __pyx_t_5 < __pyx_t_4; __pyx_t_5+=1) {
      __pyx_v_i = __pyx_t_5;

      /* "View.MemoryView":1119
 *     else:
 *         for i in range(dst_extent):
 *             _copy_strided_to_strided(src_data, src_strides + 1,             # <<<<<<<<<<<<<<
 *                                      dst_data, dst_strides + 1,
 *                                      src_shape + 1, dst_shape + 1,
 */
      _copy_strided_to_strided(__pyx_v_src_data, (__pyx_v_src_strides + 1), __pyx_v_dst_data, (__pyx_v_dst_strides + 1), (__pyx_v_src_shape + 1), (__pyx_v_dst_shape + 1), (__pyx_v_ndim - 1), __pyx_v_itemsize);

      /* "View.MemoryView":1123
 *                                      src_shape + 1, dst_shape + 1,
 *                                      ndim - 1, itemsize)
 *             src_data += src_stride             # <<<<<<<<<<<<<<
 *             dst_data += dst_stride
 * 
 */
      __pyx_v_src_data = (__pyx_v_src_data + __pyx_v_src_stride);

      /* "View.MemoryView":1124
 *                                      ndim - 1, itemsize)
 *             src_data += src_stride
 *             dst_data += dst_stride             # <<<<<<<<<<<<<<
 * 
 * cdef void copy_strided_to_strided(__Pyx_memviewslice *src,
 */
      __pyx_v_dst_data = (__pyx_v_dst_data + __pyx_v_dst_stride);
    }
  }
  __pyx_L3:;

  /* "View.MemoryView":1096
 * 
 * @cython.cdivision(True)
 * cdef void _copy_strided_to_strided(char *src_data, Py_ssize_t *src_strides,             # <<<<<<<<<<<<<<
 *                                    char *dst_data, Py_ssize_t *dst_strides,
 *                                    Py_ssize_t *src_shape, Py_ssize_t *dst_shape,
 */

  /* function exit code */
}

/* "View.MemoryView":1126
 *             dst_data += dst_stride
 * 
 * cdef void copy_strided_to_strided(__Pyx_memviewslice *src,             # <<<<<<<<<<<<<<
 *                                   __Pyx_memviewslice *dst,
 *                                   int ndim, size_t itemsize) nogil:
 */

static void copy_strided_to_strided(__Pyx_memviewslice *__pyx_v_src, __Pyx_memviewslice *__pyx_v_dst, int __pyx_v_ndim, size_t __pyx_v_itemsize) {

  /* "View.MemoryView":1129
 *                                   __Pyx_memviewslice *dst,
 *                                   int ndim, size_t itemsize) nogil:
 *     _copy_strided_to_strided(src.data, src.strides, dst.data, dst.strides,             # <<<<<<<<<<<<<<
 *                              src.shape, dst.shape, ndim, itemsize)
 * 
 */
  _copy_strided_to_strided(__pyx_v_src->data, __pyx_v_src->strides, __pyx_v_dst->data, __pyx_v_dst->strides, __pyx_v_src->shape, __pyx_v_dst->shape, __pyx_v_ndim, __pyx_v_itemsize);

  /* "View.MemoryView":1126
 *             dst_data += dst_stride
 * 
 * cdef void copy_strided_to_strided(__Pyx_memviewslice *src,             # <<<<<<<<<<<<<<
 *                                   __Pyx_memviewslice *dst,
 *                                   int ndim, size_t itemsize) nogil:
 */

  /* function exit code */
}

/* "View.MemoryView":1133
 * 
 * @cname('__pyx_memoryview_slice_get_size')
 * cdef Py_ssize_t slice_get_size(__Pyx_memviewslice *src, int ndim) nogil:             # <<<<<<<<<<<<<<
 *     "Return the size of the memory occupied by the slice in number of bytes"
 *     cdef int i
 */

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

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

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

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

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

  /* "View.MemoryView":1133
 * 
 * @cname('__pyx_memoryview_slice_get_size')
 * cdef Py_ssize_t slice_get_size(__Pyx_memviewslice *src, int ndim) nogil:             # <<<<<<<<<<<<<<
 *     "Return the size of the memory occupied by the slice in number of bytes"
 *     cdef int i
 */

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

/* "View.MemoryView":1144
 * 
 * @cname('__pyx_fill_contig_strides_array')
 * cdef Py_ssize_t fill_contig_strides_array(             # <<<<<<<<<<<<<<
 *                 Py_ssize_t *shape, Py_ssize_t *strides, Py_ssize_t stride,
 *                 int ndim, char order) nogil:
 */

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

  /* "View.MemoryView":1153
 *     cdef int idx
 * 
 *     if order == 'F':             # <<<<<<<<<<<<<<
 *         for idx in range(ndim):
 *             strides[idx] = stride
 */
  __pyx_t_1 = ((__pyx_v_order == 'F') != 0);
  if (__pyx_t_1) {

    /* "View.MemoryView":1154
 * 
 *     if order == 'F':
 *         for idx in range(ndim):             # <<<<<<<<<<<<<<
 *             strides[idx] = stride
 *             stride = stride * shape[idx]
 */
    __pyx_t_2 = __pyx_v_ndim;
    for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
      __pyx_v_idx = __pyx_t_3;

      /* "View.MemoryView":1155
 *     if order == 'F':
 *         for idx in range(ndim):
 *             strides[idx] = stride             # <<<<<<<<<<<<<<
 *             stride = stride * shape[idx]
 *     else:
 */
      (__pyx_v_strides[__pyx_v_idx]) = __pyx_v_stride;

      /* "View.MemoryView":1156
 *         for idx in range(ndim):
 *             strides[idx] = stride
 *             stride = stride * shape[idx]             # <<<<<<<<<<<<<<
 *     else:
 *         for idx in range(ndim - 1, -1, -1):
 */
      __pyx_v_stride = (__pyx_v_stride * (__pyx_v_shape[__pyx_v_idx]));
    }

    /* "View.MemoryView":1153
 *     cdef int idx
 * 
 *     if order == 'F':             # <<<<<<<<<<<<<<
 *         for idx in range(ndim):
 *             strides[idx] = stride
 */
    goto __pyx_L3;
  }

  /* "View.MemoryView":1158
 *             stride = stride * shape[idx]
 *     else:
 *         for idx in range(ndim - 1, -1, -1):             # <<<<<<<<<<<<<<
 *             strides[idx] = stride
 *             stride = stride * shape[idx]
 */
  /*else*/ {
    for (__pyx_t_2 = (__pyx_v_ndim - 1); __pyx_t_2 > -1L; __pyx_t_2-=1) {
      __pyx_v_idx = __pyx_t_2;

      /* "View.MemoryView":1159
 *     else:
 *         for idx in range(ndim - 1, -1, -1):
 *             strides[idx] = stride             # <<<<<<<<<<<<<<
 *             stride = stride * shape[idx]
 * 
 */
      (__pyx_v_strides[__pyx_v_idx]) = __pyx_v_stride;

      /* "View.MemoryView":1160
 *         for idx in range(ndim - 1, -1, -1):
 *             strides[idx] = stride
 *             stride = stride * shape[idx]             # <<<<<<<<<<<<<<
 * 
 *     return stride
 */
      __pyx_v_stride = (__pyx_v_stride * (__pyx_v_shape[__pyx_v_idx]));
    }
  }
  __pyx_L3:;

  /* "View.MemoryView":1162
 *             stride = stride * shape[idx]
 * 
 *     return stride             # <<<<<<<<<<<<<<
 * 
 * @cname('__pyx_memoryview_copy_data_to_temp')
 */
  __pyx_r = __pyx_v_stride;
  goto __pyx_L0;

  /* "View.MemoryView":1144
 * 
 * @cname('__pyx_fill_contig_strides_array')
 * cdef Py_ssize_t fill_contig_strides_array(             # <<<<<<<<<<<<<<
 *                 Py_ssize_t *shape, Py_ssize_t *strides, Py_ssize_t stride,
 *                 int ndim, char order) nogil:
 */

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

/* "View.MemoryView":1165
 * 
 * @cname('__pyx_memoryview_copy_data_to_temp')
 * cdef void *copy_data_to_temp(__Pyx_memviewslice *src,             # <<<<<<<<<<<<<<
 *                              __Pyx_memviewslice *tmpslice,
 *                              char order,
 */

static void *__pyx_memoryview_copy_data_to_temp(__Pyx_memviewslice *__pyx_v_src, __Pyx_memviewslice *__pyx_v_tmpslice, char __pyx_v_order, int __pyx_v_ndim) {
  int __pyx_v_i;
  void *__pyx_v_result;
  size_t __pyx_v_itemsize;
  size_t __pyx_v_size;
  void *__pyx_r;
  Py_ssize_t __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  struct __pyx_memoryview_obj *__pyx_t_4;
  int __pyx_t_5;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;

  /* "View.MemoryView":1176
 *     cdef void *result
 * 
 *     cdef size_t itemsize = src.memview.view.itemsize             # <<<<<<<<<<<<<<
 *     cdef size_t size = slice_get_size(src, ndim)
 * 
 */
  __pyx_t_1 = __pyx_v_src->memview->view.itemsize;
  __pyx_v_itemsize = __pyx_t_1;

  /* "View.MemoryView":1177
 * 
 *     cdef size_t itemsize = src.memview.view.itemsize
 *     cdef size_t size = slice_get_size(src, ndim)             # <<<<<<<<<<<<<<
 * 
 *     result = malloc(size)
 */
  __pyx_v_size = __pyx_memoryview_slice_get_size(__pyx_v_src, __pyx_v_ndim);

  /* "View.MemoryView":1179
 *     cdef size_t size = slice_get_size(src, ndim)
 * 
 *     result = malloc(size)             # <<<<<<<<<<<<<<
 *     if not result:
 *         _err(MemoryError, NULL)
 */
  __pyx_v_result = malloc(__pyx_v_size);

  /* "View.MemoryView":1180
 * 
 *     result = malloc(size)
 *     if not result:             # <<<<<<<<<<<<<<
 *         _err(MemoryError, NULL)
 * 
 */
  __pyx_t_2 = ((!(__pyx_v_result != 0)) != 0);
  if (__pyx_t_2) {

    /* "View.MemoryView":1181
 *     result = malloc(size)
 *     if not result:
 *         _err(MemoryError, NULL)             # <<<<<<<<<<<<<<
 * 
 * 
 */
    __pyx_t_3 = __pyx_memoryview_err(__pyx_builtin_MemoryError, NULL); if (unlikely(__pyx_t_3 == -1)) {__pyx_filename = __pyx_f[3]; __pyx_lineno = 1181; __pyx_clineno = __LINE__; goto __pyx_L1_error;}

    /* "View.MemoryView":1180
 * 
 *     result = malloc(size)
 *     if not result:             # <<<<<<<<<<<<<<
 *         _err(MemoryError, NULL)
 * 
 */
  }

  /* "View.MemoryView":1184
 * 
 * 
 *     tmpslice.data = <char *> result             # <<<<<<<<<<<<<<
 *     tmpslice.memview = src.memview
 *     for i in range(ndim):
 */
  __pyx_v_tmpslice->data = ((char *)__pyx_v_result);

  /* "View.MemoryView":1185
 * 
 *     tmpslice.data = <char *> result
 *     tmpslice.memview = src.memview             # <<<<<<<<<<<<<<
 *     for i in range(ndim):
 *         tmpslice.shape[i] = src.shape[i]
 */
  __pyx_t_4 = __pyx_v_src->memview;
  __pyx_v_tmpslice->memview = __pyx_t_4;

  /* "View.MemoryView":1186
 *     tmpslice.data = <char *> result
 *     tmpslice.memview = src.memview
 *     for i in range(ndim):             # <<<<<<<<<<<<<<
 *         tmpslice.shape[i] = src.shape[i]
 *         tmpslice.suboffsets[i] = -1
 */
  __pyx_t_3 = __pyx_v_ndim;
  for (__pyx_t_5 = 0; __pyx_t_5 < __pyx_t_3; __pyx_t_5+=1) {
    __pyx_v_i = __pyx_t_5;

    /* "View.MemoryView":1187
 *     tmpslice.memview = src.memview
 *     for i in range(ndim):
 *         tmpslice.shape[i] = src.shape[i]             # <<<<<<<<<<<<<<
 *         tmpslice.suboffsets[i] = -1
 * 
 */
    (__pyx_v_tmpslice->shape[__pyx_v_i]) = (__pyx_v_src->shape[__pyx_v_i]);

    /* "View.MemoryView":1188
 *     for i in range(ndim):
 *         tmpslice.shape[i] = src.shape[i]
 *         tmpslice.suboffsets[i] = -1             # <<<<<<<<<<<<<<
 * 
 *     fill_contig_strides_array(&tmpslice.shape[0], &tmpslice.strides[0], itemsize,
 */
    (__pyx_v_tmpslice->suboffsets[__pyx_v_i]) = -1L;
  }

  /* "View.MemoryView":1190
 *         tmpslice.suboffsets[i] = -1
 * 
 *     fill_contig_strides_array(&tmpslice.shape[0], &tmpslice.strides[0], itemsize,             # <<<<<<<<<<<<<<
 *                               ndim, order)
 * 
 */
  __pyx_fill_contig_strides_array((&(__pyx_v_tmpslice->shape[0])), (&(__pyx_v_tmpslice->strides[0])), __pyx_v_itemsize, __pyx_v_ndim, __pyx_v_order);

  /* "View.MemoryView":1194
 * 
 * 
 *     for i in range(ndim):             # <<<<<<<<<<<<<<
 *         if tmpslice.shape[i] == 1:
 *             tmpslice.strides[i] = 0
 */
  __pyx_t_3 = __pyx_v_ndim;
  for (__pyx_t_5 = 0; __pyx_t_5 < __pyx_t_3; __pyx_t_5+=1) {
    __pyx_v_i = __pyx_t_5;

    /* "View.MemoryView":1195
 * 
 *     for i in range(ndim):
 *         if tmpslice.shape[i] == 1:             # <<<<<<<<<<<<<<
 *             tmpslice.strides[i] = 0
 * 
 */
    __pyx_t_2 = (((__pyx_v_tmpslice->shape[__pyx_v_i]) == 1) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":1196
 *     for i in range(ndim):
 *         if tmpslice.shape[i] == 1:
 *             tmpslice.strides[i] = 0             # <<<<<<<<<<<<<<
 * 
 *     if slice_is_contig(src, order, ndim):
 */
      (__pyx_v_tmpslice->strides[__pyx_v_i]) = 0;

      /* "View.MemoryView":1195
 * 
 *     for i in range(ndim):
 *         if tmpslice.shape[i] == 1:             # <<<<<<<<<<<<<<
 *             tmpslice.strides[i] = 0
 * 
 */
    }
  }

  /* "View.MemoryView":1198
 *             tmpslice.strides[i] = 0
 * 
 *     if slice_is_contig(src, order, ndim):             # <<<<<<<<<<<<<<
 *         memcpy(result, src.data, size)
 *     else:
 */
  __pyx_t_2 = (__pyx_memviewslice_is_contig(__pyx_v_src, __pyx_v_order, __pyx_v_ndim) != 0);
  if (__pyx_t_2) {

    /* "View.MemoryView":1199
 * 
 *     if slice_is_contig(src, order, ndim):
 *         memcpy(result, src.data, size)             # <<<<<<<<<<<<<<
 *     else:
 *         copy_strided_to_strided(src, tmpslice, ndim, itemsize)
 */
    memcpy(__pyx_v_result, __pyx_v_src->data, __pyx_v_size);

    /* "View.MemoryView":1198
 *             tmpslice.strides[i] = 0
 * 
 *     if slice_is_contig(src, order, ndim):             # <<<<<<<<<<<<<<
 *         memcpy(result, src.data, size)
 *     else:
 */
    goto __pyx_L9;
  }

  /* "View.MemoryView":1201
 *         memcpy(result, src.data, size)
 *     else:
 *         copy_strided_to_strided(src, tmpslice, ndim, itemsize)             # <<<<<<<<<<<<<<
 * 
 *     return result
 */
  /*else*/ {
    copy_strided_to_strided(__pyx_v_src, __pyx_v_tmpslice, __pyx_v_ndim, __pyx_v_itemsize);
  }
  __pyx_L9:;

  /* "View.MemoryView":1203
 *         copy_strided_to_strided(src, tmpslice, ndim, itemsize)
 * 
 *     return result             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_r = __pyx_v_result;
  goto __pyx_L0;

  /* "View.MemoryView":1165
 * 
 * @cname('__pyx_memoryview_copy_data_to_temp')
 * cdef void *copy_data_to_temp(__Pyx_memviewslice *src,             # <<<<<<<<<<<<<<
 *                              __Pyx_memviewslice *tmpslice,
 *                              char order,
 */

  /* function exit code */
  __pyx_L1_error:;
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    PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
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    #ifdef WITH_THREAD
    PyGILState_Release(__pyx_gilstate_save);
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  __pyx_r = NULL;
  __pyx_L0:;
  return __pyx_r;
}

/* "View.MemoryView":1208
 * 
 * @cname('__pyx_memoryview_err_extents')
 * cdef int _err_extents(int i, Py_ssize_t extent1,             # <<<<<<<<<<<<<<
 *                              Py_ssize_t extent2) except -1 with gil:
 *     raise ValueError("got differing extents in dimension %d (got %d and %d)" %
 */

static int __pyx_memoryview_err_extents(int __pyx_v_i, Py_ssize_t __pyx_v_extent1, Py_ssize_t __pyx_v_extent2) {
  int __pyx_r;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  #ifdef WITH_THREAD
  PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
  #endif
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 *     for i in range(ndim):
 *         if src.shape[i] != dst.shape[i]:             # <<<<<<<<<<<<<<
 *             if src.shape[i] == 1:
 *                 broadcasting = True
 */
    __pyx_t_2 = (((__pyx_v_src.shape[__pyx_v_i]) != (__pyx_v_dst.shape[__pyx_v_i])) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":1250
 *     for i in range(ndim):
 *         if src.shape[i] != dst.shape[i]:
 *             if src.shape[i] == 1:             # <<<<<<<<<<<<<<
 *                 broadcasting = True
 *                 src.strides[i] = 0
 */
      __pyx_t_2 = (((__pyx_v_src.shape[__pyx_v_i]) == 1) != 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":1251
 *         if src.shape[i] != dst.shape[i]:
 *             if src.shape[i] == 1:
 *                 broadcasting = True             # <<<<<<<<<<<<<<
 *                 src.strides[i] = 0
 *             else:
 */
        __pyx_v_broadcasting = 1;

        /* "View.MemoryView":1252
 *             if src.shape[i] == 1:
 *                 broadcasting = True
 *                 src.strides[i] = 0             # <<<<<<<<<<<<<<
 *             else:
 *                 _err_extents(i, dst.shape[i], src.shape[i])
 */
        (__pyx_v_src.strides[__pyx_v_i]) = 0;

        /* "View.MemoryView":1250
 *     for i in range(ndim):
 *         if src.shape[i] != dst.shape[i]:
 *             if src.shape[i] == 1:             # <<<<<<<<<<<<<<
 *                 broadcasting = True
 *                 src.strides[i] = 0
 */
        goto __pyx_L7;
      }

      /* "View.MemoryView":1254
 *                 src.strides[i] = 0
 *             else:
 *                 _err_extents(i, dst.shape[i], src.shape[i])             # <<<<<<<<<<<<<<
 * 
 *         if src.suboffsets[i] >= 0:
 */
      /*else*/ {
        __pyx_t_4 = __pyx_memoryview_err_extents(__pyx_v_i, (__pyx_v_dst.shape[__pyx_v_i]), (__pyx_v_src.shape[__pyx_v_i])); if (unlikely(__pyx_t_4 == -1)) {__pyx_filename = __pyx_f[3]; __pyx_lineno = 1254; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      }
      __pyx_L7:;

      /* "View.MemoryView":1249
 * 
 *     for i in range(ndim):
 *         if src.shape[i] != dst.shape[i]:             # <<<<<<<<<<<<<<
 *             if src.shape[i] == 1:
 *                 broadcasting = True
 */
    }

    /* "View.MemoryView":1256
 *                 _err_extents(i, dst.shape[i], src.shape[i])
 * 
 *         if src.suboffsets[i] >= 0:             # <<<<<<<<<<<<<<
 *             _err_dim(ValueError, "Dimension %d is not direct", i)
 * 
 */
    __pyx_t_2 = (((__pyx_v_src.suboffsets[__pyx_v_i]) >= 0) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":1257
 * 
 *         if src.suboffsets[i] >= 0:
 *             _err_dim(ValueError, "Dimension %d is not direct", i)             # <<<<<<<<<<<<<<
 * 
 *     if slices_overlap(&src, &dst, ndim, itemsize):
 */
      __pyx_t_4 = __pyx_memoryview_err_dim(__pyx_builtin_ValueError, __pyx_k_Dimension_d_is_not_direct, __pyx_v_i); if (unlikely(__pyx_t_4 == -1)) {__pyx_filename = __pyx_f[3]; __pyx_lineno = 1257; __pyx_clineno = __LINE__; goto __pyx_L1_error;}

      /* "View.MemoryView":1256
 *                 _err_extents(i, dst.shape[i], src.shape[i])
 * 
 *         if src.suboffsets[i] >= 0:             # <<<<<<<<<<<<<<
 *             _err_dim(ValueError, "Dimension %d is not direct", i)
 * 
 */
    }
  }

  /* "View.MemoryView":1259
 *             _err_dim(ValueError, "Dimension %d is not direct", i)
 * 
 *     if slices_overlap(&src, &dst, ndim, itemsize):             # <<<<<<<<<<<<<<
 * 
 *         if not slice_is_contig(&src, order, ndim):
 */
  __pyx_t_2 = (__pyx_slices_overlap((&__pyx_v_src), (&__pyx_v_dst), __pyx_v_ndim, __pyx_v_itemsize) != 0);
  if (__pyx_t_2) {

    /* "View.MemoryView":1261
 *     if slices_overlap(&src, &dst, ndim, itemsize):
 * 
 *         if not slice_is_contig(&src, order, ndim):             # <<<<<<<<<<<<<<
 *             order = get_best_order(&dst, ndim)
 * 
 */
    __pyx_t_2 = ((!(__pyx_memviewslice_is_contig((&__pyx_v_src), __pyx_v_order, __pyx_v_ndim) != 0)) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":1262
 * 
 *         if not slice_is_contig(&src, order, ndim):
 *             order = get_best_order(&dst, ndim)             # <<<<<<<<<<<<<<
 * 
 *         tmpdata = copy_data_to_temp(&src, &tmp, order, ndim)
 */
      __pyx_v_order = __pyx_get_best_slice_order((&__pyx_v_dst), __pyx_v_ndim);

      /* "View.MemoryView":1261
 *     if slices_overlap(&src, &dst, ndim, itemsize):
 * 
 *         if not slice_is_contig(&src, order, ndim):             # <<<<<<<<<<<<<<
 *             order = get_best_order(&dst, ndim)
 * 
 */
    }

    /* "View.MemoryView":1264
 *             order = get_best_order(&dst, ndim)
 * 
 *         tmpdata = copy_data_to_temp(&src, &tmp, order, ndim)             # <<<<<<<<<<<<<<
 *         src = tmp
 * 
 */
    __pyx_t_6 = __pyx_memoryview_copy_data_to_temp((&__pyx_v_src), (&__pyx_v_tmp), __pyx_v_order, __pyx_v_ndim); if (unlikely(__pyx_t_6 == NULL)) {__pyx_filename = __pyx_f[3]; __pyx_lineno = 1264; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __pyx_v_tmpdata = __pyx_t_6;

    /* "View.MemoryView":1265
 * 
 *         tmpdata = copy_data_to_temp(&src, &tmp, order, ndim)
 *         src = tmp             # <<<<<<<<<<<<<<
 * 
 *     if not broadcasting:
 */
    __pyx_v_src = __pyx_v_tmp;

    /* "View.MemoryView":1259
 *             _err_dim(ValueError, "Dimension %d is not direct", i)
 * 
 *     if slices_overlap(&src, &dst, ndim, itemsize):             # <<<<<<<<<<<<<<
 * 
 *         if not slice_is_contig(&src, order, ndim):
 */
  }

  /* "View.MemoryView":1267
 *         src = tmp
 * 
 *     if not broadcasting:             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_t_2 = ((!(__pyx_v_broadcasting != 0)) != 0);
  if (__pyx_t_2) {

    /* "View.MemoryView":1270
 * 
 * 
 *         if slice_is_contig(&src, 'C', ndim):             # <<<<<<<<<<<<<<
 *             direct_copy = slice_is_contig(&dst, 'C', ndim)
 *         elif slice_is_contig(&src, 'F', ndim):
 */
    __pyx_t_2 = (__pyx_memviewslice_is_contig((&__pyx_v_src), 'C', __pyx_v_ndim) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":1271
 * 
 *         if slice_is_contig(&src, 'C', ndim):
 *             direct_copy = slice_is_contig(&dst, 'C', ndim)             # <<<<<<<<<<<<<<
 *         elif slice_is_contig(&src, 'F', ndim):
 *             direct_copy = slice_is_contig(&dst, 'F', ndim)
 */
      __pyx_v_direct_copy = __pyx_memviewslice_is_contig((&__pyx_v_dst), 'C', __pyx_v_ndim);

      /* "View.MemoryView":1270
 * 
 * 
 *         if slice_is_contig(&src, 'C', ndim):             # <<<<<<<<<<<<<<
 *             direct_copy = slice_is_contig(&dst, 'C', ndim)
 *         elif slice_is_contig(&src, 'F', ndim):
 */
      goto __pyx_L12;
    }

    /* "View.MemoryView":1272
 *         if slice_is_contig(&src, 'C', ndim):
 *             direct_copy = slice_is_contig(&dst, 'C', ndim)
 *         elif slice_is_contig(&src, 'F', ndim):             # <<<<<<<<<<<<<<
 *             direct_copy = slice_is_contig(&dst, 'F', ndim)
 * 
 */
    __pyx_t_2 = (__pyx_memviewslice_is_contig((&__pyx_v_src), 'F', __pyx_v_ndim) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":1273
 *             direct_copy = slice_is_contig(&dst, 'C', ndim)
 *         elif slice_is_contig(&src, 'F', ndim):
 *             direct_copy = slice_is_contig(&dst, 'F', ndim)             # <<<<<<<<<<<<<<
 * 
 *         if direct_copy:
 */
      __pyx_v_direct_copy = __pyx_memviewslice_is_contig((&__pyx_v_dst), 'F', __pyx_v_ndim);

      /* "View.MemoryView":1272
 *         if slice_is_contig(&src, 'C', ndim):
 *             direct_copy = slice_is_contig(&dst, 'C', ndim)
 *         elif slice_is_contig(&src, 'F', ndim):             # <<<<<<<<<<<<<<
 *             direct_copy = slice_is_contig(&dst, 'F', ndim)
 * 
 */
    }
    __pyx_L12:;

    /* "View.MemoryView":1275
 *             direct_copy = slice_is_contig(&dst, 'F', ndim)
 * 
 *         if direct_copy:             # <<<<<<<<<<<<<<
 * 
 *             refcount_copying(&dst, dtype_is_object, ndim, False)
 */
    __pyx_t_2 = (__pyx_v_direct_copy != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":1277
 *         if direct_copy:
 * 
 *             refcount_copying(&dst, dtype_is_object, ndim, False)             # <<<<<<<<<<<<<<
 *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))
 *             refcount_copying(&dst, dtype_is_object, ndim, True)
 */
      __pyx_memoryview_refcount_copying((&__pyx_v_dst), __pyx_v_dtype_is_object, __pyx_v_ndim, 0);

      /* "View.MemoryView":1278
 * 
 *             refcount_copying(&dst, dtype_is_object, ndim, False)
 *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))             # <<<<<<<<<<<<<<
 *             refcount_copying(&dst, dtype_is_object, ndim, True)
 *             free(tmpdata)
 */
      memcpy(__pyx_v_dst.data, __pyx_v_src.data, __pyx_memoryview_slice_get_size((&__pyx_v_src), __pyx_v_ndim));

      /* "View.MemoryView":1279
 *             refcount_copying(&dst, dtype_is_object, ndim, False)
 *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))
 *             refcount_copying(&dst, dtype_is_object, ndim, True)             # <<<<<<<<<<<<<<
 *             free(tmpdata)
 *             return 0
 */
      __pyx_memoryview_refcount_copying((&__pyx_v_dst), __pyx_v_dtype_is_object, __pyx_v_ndim, 1);

      /* "View.MemoryView":1280
 *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))
 *             refcount_copying(&dst, dtype_is_object, ndim, True)
 *             free(tmpdata)             # <<<<<<<<<<<<<<
 *             return 0
 * 
 */
      free(__pyx_v_tmpdata);

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

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

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

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

    /* "View.MemoryView":1286
 * 
 * 
 *         transpose_memslice(&src)             # <<<<<<<<<<<<<<
 *         transpose_memslice(&dst)
 * 
 */
    __pyx_t_5 = __pyx_memslice_transpose((&__pyx_v_src)); if (unlikely(__pyx_t_5 == 0)) {__pyx_filename = __pyx_f[3]; __pyx_lineno = 1286; __pyx_clineno = __LINE__; goto __pyx_L1_error;}

    /* "View.MemoryView":1287
 * 
 *         transpose_memslice(&src)
 *         transpose_memslice(&dst)             # <<<<<<<<<<<<<<
 * 
 *     refcount_copying(&dst, dtype_is_object, ndim, False)
 */
    __pyx_t_5 = __pyx_memslice_transpose((&__pyx_v_dst)); if (unlikely(__pyx_t_5 == 0)) {__pyx_filename = __pyx_f[3]; __pyx_lineno = 1287; __pyx_clineno = __LINE__; goto __pyx_L1_error;}

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

  /* "View.MemoryView":1289
 *         transpose_memslice(&dst)
 * 
 *     refcount_copying(&dst, dtype_is_object, ndim, False)             # <<<<<<<<<<<<<<
 *     copy_strided_to_strided(&src, &dst, ndim, itemsize)
 *     refcount_copying(&dst, dtype_is_object, ndim, True)
 */
  __pyx_memoryview_refcount_copying((&__pyx_v_dst), __pyx_v_dtype_is_object, __pyx_v_ndim, 0);

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

  /* "View.MemoryView":1291
 *     refcount_copying(&dst, dtype_is_object, ndim, False)
 *     copy_strided_to_strided(&src, &dst, ndim, itemsize)
 *     refcount_copying(&dst, dtype_is_object, ndim, True)             # <<<<<<<<<<<<<<
 * 
 *     free(tmpdata)
 */
  __pyx_memoryview_refcount_copying((&__pyx_v_dst), __pyx_v_dtype_is_object, __pyx_v_ndim, 1);

  /* "View.MemoryView":1293
 *     refcount_copying(&dst, dtype_is_object, ndim, True)
 * 
 *     free(tmpdata)             # <<<<<<<<<<<<<<
 *     return 0
 * 
 */
  free(__pyx_v_tmpdata);

  /* "View.MemoryView":1294
 * 
 *     free(tmpdata)
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * @cname('__pyx_memoryview_broadcast_leading')
 */
  __pyx_r = 0;
  goto __pyx_L0;

  /* "View.MemoryView":1225
 * 
 * @cname('__pyx_memoryview_copy_contents')
 * cdef int memoryview_copy_contents(__Pyx_memviewslice src,             # <<<<<<<<<<<<<<
 *                                   __Pyx_memviewslice dst,
 *                                   int src_ndim, int dst_ndim,
 */

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

/* "View.MemoryView":1297
 * 
 * @cname('__pyx_memoryview_broadcast_leading')
 * cdef void broadcast_leading(__Pyx_memviewslice *mslice,             # <<<<<<<<<<<<<<
 *                             int ndim,
 *                             int ndim_other) nogil:
 */

static void __pyx_memoryview_broadcast_leading(__Pyx_memviewslice *__pyx_v_mslice, int __pyx_v_ndim, int __pyx_v_ndim_other) {
  int __pyx_v_i;
  int __pyx_v_offset;
  int __pyx_t_1;
  int __pyx_t_2;

  /* "View.MemoryView":1301
 *                             int ndim_other) nogil:
 *     cdef int i
 *     cdef int offset = ndim_other - ndim             # <<<<<<<<<<<<<<
 * 
 *     for i in range(ndim - 1, -1, -1):
 */
  __pyx_v_offset = (__pyx_v_ndim_other - __pyx_v_ndim);

  /* "View.MemoryView":1303
 *     cdef int offset = ndim_other - ndim
 * 
 *     for i in range(ndim - 1, -1, -1):             # <<<<<<<<<<<<<<
 *         mslice.shape[i + offset] = mslice.shape[i]
 *         mslice.strides[i + offset] = mslice.strides[i]
 */
  for (__pyx_t_1 = (__pyx_v_ndim - 1); __pyx_t_1 > -1L; __pyx_t_1-=1) {
    __pyx_v_i = __pyx_t_1;

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

    /* "View.MemoryView":1305
 *     for i in range(ndim - 1, -1, -1):
 *         mslice.shape[i + offset] = mslice.shape[i]
 *         mslice.strides[i + offset] = mslice.strides[i]             # <<<<<<<<<<<<<<
 *         mslice.suboffsets[i + offset] = mslice.suboffsets[i]
 * 
 */
    (__pyx_v_mslice->strides[(__pyx_v_i + __pyx_v_offset)]) = (__pyx_v_mslice->strides[__pyx_v_i]);

    /* "View.MemoryView":1306
 *         mslice.shape[i + offset] = mslice.shape[i]
 *         mslice.strides[i + offset] = mslice.strides[i]
 *         mslice.suboffsets[i + offset] = mslice.suboffsets[i]             # <<<<<<<<<<<<<<
 * 
 *     for i in range(offset):
 */
    (__pyx_v_mslice->suboffsets[(__pyx_v_i + __pyx_v_offset)]) = (__pyx_v_mslice->suboffsets[__pyx_v_i]);
  }

  /* "View.MemoryView":1308
 *         mslice.suboffsets[i + offset] = mslice.suboffsets[i]
 * 
 *     for i in range(offset):             # <<<<<<<<<<<<<<
 *         mslice.shape[i] = 1
 *         mslice.strides[i] = mslice.strides[0]
 */
  __pyx_t_1 = __pyx_v_offset;
  for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_1; __pyx_t_2+=1) {
    __pyx_v_i = __pyx_t_2;

    /* "View.MemoryView":1309
 * 
 *     for i in range(offset):
 *         mslice.shape[i] = 1             # <<<<<<<<<<<<<<
 *         mslice.strides[i] = mslice.strides[0]
 *         mslice.suboffsets[i] = -1
 */
    (__pyx_v_mslice->shape[__pyx_v_i]) = 1;

    /* "View.MemoryView":1310
 *     for i in range(offset):
 *         mslice.shape[i] = 1
 *         mslice.strides[i] = mslice.strides[0]             # <<<<<<<<<<<<<<
 *         mslice.suboffsets[i] = -1
 * 
 */
    (__pyx_v_mslice->strides[__pyx_v_i]) = (__pyx_v_mslice->strides[0]);

    /* "View.MemoryView":1311
 *         mslice.shape[i] = 1
 *         mslice.strides[i] = mslice.strides[0]
 *         mslice.suboffsets[i] = -1             # <<<<<<<<<<<<<<
 * 
 * 
 */
    (__pyx_v_mslice->suboffsets[__pyx_v_i]) = -1L;
  }

  /* "View.MemoryView":1297
 * 
 * @cname('__pyx_memoryview_broadcast_leading')
 * cdef void broadcast_leading(__Pyx_memviewslice *mslice,             # <<<<<<<<<<<<<<
 *                             int ndim,
 *                             int ndim_other) nogil:
 */

  /* function exit code */
}

/* "View.MemoryView":1319
 * 
 * @cname('__pyx_memoryview_refcount_copying')
 * cdef void refcount_copying(__Pyx_memviewslice *dst, bint dtype_is_object,             # <<<<<<<<<<<<<<
 *                            int ndim, bint inc) nogil:
 * 
 */

static void __pyx_memoryview_refcount_copying(__Pyx_memviewslice *__pyx_v_dst, int __pyx_v_dtype_is_object, int __pyx_v_ndim, int __pyx_v_inc) {
  int __pyx_t_1;

  /* "View.MemoryView":1323
 * 
 * 
 *     if dtype_is_object:             # <<<<<<<<<<<<<<
 *         refcount_objects_in_slice_with_gil(dst.data, dst.shape,
 *                                            dst.strides, ndim, inc)
 */
  __pyx_t_1 = (__pyx_v_dtype_is_object != 0);
  if (__pyx_t_1) {

    /* "View.MemoryView":1324
 * 
 *     if dtype_is_object:
 *         refcount_objects_in_slice_with_gil(dst.data, dst.shape,             # <<<<<<<<<<<<<<
 *                                            dst.strides, ndim, inc)
 * 
 */
    __pyx_memoryview_refcount_objects_in_slice_with_gil(__pyx_v_dst->data, __pyx_v_dst->shape, __pyx_v_dst->strides, __pyx_v_ndim, __pyx_v_inc);

    /* "View.MemoryView":1323
 * 
 * 
 *     if dtype_is_object:             # <<<<<<<<<<<<<<
 *         refcount_objects_in_slice_with_gil(dst.data, dst.shape,
 *                                            dst.strides, ndim, inc)
 */
  }

  /* "View.MemoryView":1319
 * 
 * @cname('__pyx_memoryview_refcount_copying')
 * cdef void refcount_copying(__Pyx_memviewslice *dst, bint dtype_is_object,             # <<<<<<<<<<<<<<
 *                            int ndim, bint inc) nogil:
 * 
 */

  /* function exit code */
}

/* "View.MemoryView":1328
 * 
 * @cname('__pyx_memoryview_refcount_objects_in_slice_with_gil')
 * cdef void refcount_objects_in_slice_with_gil(char *data, Py_ssize_t *shape,             # <<<<<<<<<<<<<<
 *                                              Py_ssize_t *strides, int ndim,
 *                                              bint inc) with gil:
 */

static void __pyx_memoryview_refcount_objects_in_slice_with_gil(char *__pyx_v_data, Py_ssize_t *__pyx_v_shape, Py_ssize_t *__pyx_v_strides, int __pyx_v_ndim, int __pyx_v_inc) {
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 *     _slice_assign_scalar(dst.data, dst.shape, dst.strides, ndim,
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 * 
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  /* "View.MemoryView":1354
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 * @cname('__pyx_memoryview_slice_assign_scalar')
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  /* function exit code */
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/* "View.MemoryView":1364
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 *     cdef Py_ssize_t extent = shape[0]
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  /* "View.MemoryView":1371
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    /* "View.MemoryView":1372
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      /* "View.MemoryView":1373
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      /* "View.MemoryView":1374
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    /* "View.MemoryView":1371
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 *     if ndim == 1:             # <<<<<<<<<<<<<<
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      /* "View.MemoryView":1377
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static void __pyx_tp_dealloc_5scipy_7spatial_5qhull__QhullMessageStream(PyObject *o) {
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static PyObject *__pyx_tp_new_5scipy_7spatial_5qhull__Qhull(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
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static void __pyx_tp_dealloc_5scipy_7spatial_5qhull__Qhull(PyObject *o) {
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static int __pyx_tp_clear_5scipy_7spatial_5qhull__Qhull(PyObject *o) {
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  p->_ridge_equations = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
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static PyObject *__pyx_getprop_5scipy_7spatial_5qhull_6_Qhull_options(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5scipy_7spatial_5qhull_6_Qhull_7options_1__get__(o);
}

static int __pyx_setprop_5scipy_7spatial_5qhull_6_Qhull_options(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
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    return __pyx_pw_5scipy_7spatial_5qhull_6_Qhull_7options_3__set__(o, v);
  }
  else {
    return __pyx_pw_5scipy_7spatial_5qhull_6_Qhull_7options_5__del__(o);
  }
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static PyObject *__pyx_getprop_5scipy_7spatial_5qhull_6_Qhull_mode_option(PyObject *o, CYTHON_UNUSED void *x) {
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}

static int __pyx_setprop_5scipy_7spatial_5qhull_6_Qhull_mode_option(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
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    return __pyx_pw_5scipy_7spatial_5qhull_6_Qhull_11mode_option_3__set__(o, v);
  }
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  }
}

static PyObject *__pyx_getprop_5scipy_7spatial_5qhull_6_Qhull_furthest_site(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5scipy_7spatial_5qhull_6_Qhull_13furthest_site_1__get__(o);
}

static int __pyx_setprop_5scipy_7spatial_5qhull_6_Qhull_furthest_site(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_5scipy_7spatial_5qhull_6_Qhull_13furthest_site_3__set__(o, v);
  }
  else {
    return __pyx_pw_5scipy_7spatial_5qhull_6_Qhull_13furthest_site_5__del__(o);
  }
}

static PyObject *__pyx_getprop_5scipy_7spatial_5qhull_6_Qhull_ndim(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5scipy_7spatial_5qhull_6_Qhull_4ndim_1__get__(o);
}

static PyMethodDef __pyx_methods_5scipy_7spatial_5qhull__Qhull[] = {
  {"__del__", (PyCFunction)__pyx_pw_5scipy_7spatial_5qhull_6_Qhull_3__del__, METH_NOARGS, 0},
  {"check_active", (PyCFunction)__pyx_pw_5scipy_7spatial_5qhull_6_Qhull_5check_active, METH_NOARGS, 0},
  {"close", (PyCFunction)__pyx_pw_5scipy_7spatial_5qhull_6_Qhull_7close, METH_NOARGS, __pyx_doc_5scipy_7spatial_5qhull_6_Qhull_6close},
  {"get_points", (PyCFunction)__pyx_pw_5scipy_7spatial_5qhull_6_Qhull_9get_points, METH_NOARGS, 0},
  {"add_points", (PyCFunction)__pyx_pw_5scipy_7spatial_5qhull_6_Qhull_11add_points, METH_O, 0},
  {"get_paraboloid_shift_scale", (PyCFunction)__pyx_pw_5scipy_7spatial_5qhull_6_Qhull_13get_paraboloid_shift_scale, METH_NOARGS, 0},
  {"volume_area", (PyCFunction)__pyx_pw_5scipy_7spatial_5qhull_6_Qhull_15volume_area, METH_NOARGS, 0},
  {"triangulate", (PyCFunction)__pyx_pw_5scipy_7spatial_5qhull_6_Qhull_17triangulate, METH_NOARGS, 0},
  {"get_simplex_facet_array", (PyCFunction)__pyx_pw_5scipy_7spatial_5qhull_6_Qhull_19get_simplex_facet_array, METH_NOARGS, __pyx_doc_5scipy_7spatial_5qhull_6_Qhull_18get_simplex_facet_array},
  {"get_voronoi_diagram", (PyCFunction)__pyx_pw_5scipy_7spatial_5qhull_6_Qhull_21get_voronoi_diagram, METH_NOARGS, __pyx_doc_5scipy_7spatial_5qhull_6_Qhull_20get_voronoi_diagram},
  {"get_extremes_2d", (PyCFunction)__pyx_pw_5scipy_7spatial_5qhull_6_Qhull_23get_extremes_2d, METH_NOARGS, __pyx_doc_5scipy_7spatial_5qhull_6_Qhull_22get_extremes_2d},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_5scipy_7spatial_5qhull__Qhull[] = {
  {(char *)"options", __pyx_getprop_5scipy_7spatial_5qhull_6_Qhull_options, __pyx_setprop_5scipy_7spatial_5qhull_6_Qhull_options, 0, 0},
  {(char *)"mode_option", __pyx_getprop_5scipy_7spatial_5qhull_6_Qhull_mode_option, __pyx_setprop_5scipy_7spatial_5qhull_6_Qhull_mode_option, 0, 0},
  {(char *)"furthest_site", __pyx_getprop_5scipy_7spatial_5qhull_6_Qhull_furthest_site, __pyx_setprop_5scipy_7spatial_5qhull_6_Qhull_furthest_site, 0, 0},
  {(char *)"ndim", __pyx_getprop_5scipy_7spatial_5qhull_6_Qhull_ndim, 0, 0, 0},
  {0, 0, 0, 0, 0}
};

static PyTypeObject __pyx_type_5scipy_7spatial_5qhull__Qhull = {
  PyVarObject_HEAD_INIT(0, 0)
  "scipy.spatial.qhull._Qhull", /*tp_name*/
  sizeof(struct __pyx_obj_5scipy_7spatial_5qhull__Qhull), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_5scipy_7spatial_5qhull__Qhull, /*tp_dealloc*/
  0, /*tp_print*/
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_5scipy_7spatial_5qhull__Qhull, /*tp_traverse*/
  __pyx_tp_clear_5scipy_7spatial_5qhull__Qhull, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_5scipy_7spatial_5qhull__Qhull, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_5scipy_7spatial_5qhull__Qhull, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_pw_5scipy_7spatial_5qhull_6_Qhull_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_5scipy_7spatial_5qhull__Qhull, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
};

static PyObject *__pyx_tp_new_array(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_array_obj *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_array_obj *)o);
  p->mode = ((PyObject*)Py_None); Py_INCREF(Py_None);
  p->_format = ((PyObject*)Py_None); Py_INCREF(Py_None);
  if (unlikely(__pyx_array___cinit__(o, a, k) < 0)) {
    Py_DECREF(o); o = 0;
  }
  return o;
}

static void __pyx_tp_dealloc_array(PyObject *o) {
  struct __pyx_array_obj *p = (struct __pyx_array_obj *)o;
  #if PY_VERSION_HEX >= 0x030400a1
  if (unlikely(Py_TYPE(o)->tp_finalize) && (!PyType_IS_GC(Py_TYPE(o)) || !_PyGC_FINALIZED(o))) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  {
    PyObject *etype, *eval, *etb;
    PyErr_Fetch(&etype, &eval, &etb);
    ++Py_REFCNT(o);
    __pyx_array___dealloc__(o);
    --Py_REFCNT(o);
    PyErr_Restore(etype, eval, etb);
  }
  Py_CLEAR(p->mode);
  Py_CLEAR(p->_format);
  (*Py_TYPE(o)->tp_free)(o);
}
static PyObject *__pyx_sq_item_array(PyObject *o, Py_ssize_t i) {
  PyObject *r;
  PyObject *x = PyInt_FromSsize_t(i); if(!x) return 0;
  r = Py_TYPE(o)->tp_as_mapping->mp_subscript(o, x);
  Py_DECREF(x);
  return r;
}

static int __pyx_mp_ass_subscript_array(PyObject *o, PyObject *i, PyObject *v) {
  if (v) {
    return __pyx_array___setitem__(o, i, v);
  }
  else {
    PyErr_Format(PyExc_NotImplementedError,
      "Subscript deletion not supported by %.200s", Py_TYPE(o)->tp_name);
    return -1;
  }
}

static PyObject *__pyx_tp_getattro_array(PyObject *o, PyObject *n) {
  PyObject *v = PyObject_GenericGetAttr(o, n);
  if (!v && PyErr_ExceptionMatches(PyExc_AttributeError)) {
    PyErr_Clear();
    v = __pyx_array___getattr__(o, n);
  }
  return v;
}

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

static PyMethodDef __pyx_methods_array[] = {
  {"__getattr__", (PyCFunction)__pyx_array___getattr__, METH_O|METH_COEXIST, 0},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_array[] = {
  {(char *)"memview", __pyx_getprop___pyx_array_memview, 0, 0, 0},
  {0, 0, 0, 0, 0}
};

static PySequenceMethods __pyx_tp_as_sequence_array = {
  0, /*sq_length*/
  0, /*sq_concat*/
  0, /*sq_repeat*/
  __pyx_sq_item_array, /*sq_item*/
  0, /*sq_slice*/
  0, /*sq_ass_item*/
  0, /*sq_ass_slice*/
  0, /*sq_contains*/
  0, /*sq_inplace_concat*/
  0, /*sq_inplace_repeat*/
};

static PyMappingMethods __pyx_tp_as_mapping_array = {
  0, /*mp_length*/
  __pyx_array___getitem__, /*mp_subscript*/
  __pyx_mp_ass_subscript_array, /*mp_ass_subscript*/
};

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

static PyTypeObject __pyx_type___pyx_array = {
  PyVarObject_HEAD_INIT(0, 0)
  "scipy.spatial.qhull.array", /*tp_name*/
  sizeof(struct __pyx_array_obj), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_array, /*tp_dealloc*/
  0, /*tp_print*/
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  &__pyx_tp_as_sequence_array, /*tp_as_sequence*/
  &__pyx_tp_as_mapping_array, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  __pyx_tp_getattro_array, /*tp_getattro*/
  0, /*tp_setattro*/
  &__pyx_tp_as_buffer_array, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE, /*tp_flags*/
  0, /*tp_doc*/
  0, /*tp_traverse*/
  0, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_array, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_array, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_array, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
};

static PyObject *__pyx_tp_new_Enum(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  struct __pyx_MemviewEnum_obj *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_MemviewEnum_obj *)o);
  p->name = Py_None; Py_INCREF(Py_None);
  return o;
}

static void __pyx_tp_dealloc_Enum(PyObject *o) {
  struct __pyx_MemviewEnum_obj *p = (struct __pyx_MemviewEnum_obj *)o;
  #if PY_VERSION_HEX >= 0x030400a1
  if (unlikely(Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->name);
  (*Py_TYPE(o)->tp_free)(o);
}

static int __pyx_tp_traverse_Enum(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_MemviewEnum_obj *p = (struct __pyx_MemviewEnum_obj *)o;
  if (p->name) {
    e = (*v)(p->name, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_Enum(PyObject *o) {
  PyObject* tmp;
  struct __pyx_MemviewEnum_obj *p = (struct __pyx_MemviewEnum_obj *)o;
  tmp = ((PyObject*)p->name);
  p->name = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

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

static PyTypeObject __pyx_type___pyx_MemviewEnum = {
  PyVarObject_HEAD_INIT(0, 0)
  "scipy.spatial.qhull.Enum", /*tp_name*/
  sizeof(struct __pyx_MemviewEnum_obj), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_Enum, /*tp_dealloc*/
  0, /*tp_print*/
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  __pyx_MemviewEnum___repr__, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_Enum, /*tp_traverse*/
  __pyx_tp_clear_Enum, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_Enum, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_MemviewEnum___init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_Enum, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
};
static struct __pyx_vtabstruct_memoryview __pyx_vtable_memoryview;

static PyObject *__pyx_tp_new_memoryview(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_memoryview_obj *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_memoryview_obj *)o);
  p->__pyx_vtab = __pyx_vtabptr_memoryview;
  p->obj = Py_None; Py_INCREF(Py_None);
  p->_size = Py_None; Py_INCREF(Py_None);
  p->_array_interface = Py_None; Py_INCREF(Py_None);
  p->view.obj = NULL;
  if (unlikely(__pyx_memoryview___cinit__(o, a, k) < 0)) {
    Py_DECREF(o); o = 0;
  }
  return o;
}

static void __pyx_tp_dealloc_memoryview(PyObject *o) {
  struct __pyx_memoryview_obj *p = (struct __pyx_memoryview_obj *)o;
  #if PY_VERSION_HEX >= 0x030400a1
  if (unlikely(Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  {
    PyObject *etype, *eval, *etb;
    PyErr_Fetch(&etype, &eval, &etb);
    ++Py_REFCNT(o);
    __pyx_memoryview___dealloc__(o);
    --Py_REFCNT(o);
    PyErr_Restore(etype, eval, etb);
  }
  Py_CLEAR(p->obj);
  Py_CLEAR(p->_size);
  Py_CLEAR(p->_array_interface);
  (*Py_TYPE(o)->tp_free)(o);
}

static int __pyx_tp_traverse_memoryview(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_memoryview_obj *p = (struct __pyx_memoryview_obj *)o;
  if (p->obj) {
    e = (*v)(p->obj, a); if (e) return e;
  }
  if (p->_size) {
    e = (*v)(p->_size, a); if (e) return e;
  }
  if (p->_array_interface) {
    e = (*v)(p->_array_interface, a); if (e) return e;
  }
  if (p->view.obj) {
    e = (*v)(p->view.obj, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_memoryview(PyObject *o) {
  PyObject* tmp;
  struct __pyx_memoryview_obj *p = (struct __pyx_memoryview_obj *)o;
  tmp = ((PyObject*)p->obj);
  p->obj = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->_size);
  p->_size = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->_array_interface);
  p->_array_interface = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  Py_CLEAR(p->view.obj);
  return 0;
}
static PyObject *__pyx_sq_item_memoryview(PyObject *o, Py_ssize_t i) {
  PyObject *r;
  PyObject *x = PyInt_FromSsize_t(i); if(!x) return 0;
  r = Py_TYPE(o)->tp_as_mapping->mp_subscript(o, x);
  Py_DECREF(x);
  return r;
}

static int __pyx_mp_ass_subscript_memoryview(PyObject *o, PyObject *i, PyObject *v) {
  if (v) {
    return __pyx_memoryview___setitem__(o, i, v);
  }
  else {
    PyErr_Format(PyExc_NotImplementedError,
      "Subscript deletion not supported by %.200s", Py_TYPE(o)->tp_name);
    return -1;
  }
}

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

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

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

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

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

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

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

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

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

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

static struct PyGetSetDef __pyx_getsets_memoryview[] = {
  {(char *)"T", __pyx_getprop___pyx_memoryview_T, 0, 0, 0},
  {(char *)"base", __pyx_getprop___pyx_memoryview_base, 0, 0, 0},
  {(char *)"shape", __pyx_getprop___pyx_memoryview_shape, 0, 0, 0},
  {(char *)"strides", __pyx_getprop___pyx_memoryview_strides, 0, 0, 0},
  {(char *)"suboffsets", __pyx_getprop___pyx_memoryview_suboffsets, 0, 0, 0},
  {(char *)"ndim", __pyx_getprop___pyx_memoryview_ndim, 0, 0, 0},
  {(char *)"itemsize", __pyx_getprop___pyx_memoryview_itemsize, 0, 0, 0},
  {(char *)"nbytes", __pyx_getprop___pyx_memoryview_nbytes, 0, 0, 0},
  {(char *)"size", __pyx_getprop___pyx_memoryview_size, 0, 0, 0},
  {0, 0, 0, 0, 0}
};

static PySequenceMethods __pyx_tp_as_sequence_memoryview = {
  __pyx_memoryview___len__, /*sq_length*/
  0, /*sq_concat*/
  0, /*sq_repeat*/
  __pyx_sq_item_memoryview, /*sq_item*/
  0, /*sq_slice*/
  0, /*sq_ass_item*/
  0, /*sq_ass_slice*/
  0, /*sq_contains*/
  0, /*sq_inplace_concat*/
  0, /*sq_inplace_repeat*/
};

static PyMappingMethods __pyx_tp_as_mapping_memoryview = {
  __pyx_memoryview___len__, /*mp_length*/
  __pyx_memoryview___getitem__, /*mp_subscript*/
  __pyx_mp_ass_subscript_memoryview, /*mp_ass_subscript*/
};

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

static PyTypeObject __pyx_type___pyx_memoryview = {
  PyVarObject_HEAD_INIT(0, 0)
  "scipy.spatial.qhull.memoryview", /*tp_name*/
  sizeof(struct __pyx_memoryview_obj), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_memoryview, /*tp_dealloc*/
  0, /*tp_print*/
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  __pyx_memoryview___repr__, /*tp_repr*/
  0, /*tp_as_number*/
  &__pyx_tp_as_sequence_memoryview, /*tp_as_sequence*/
  &__pyx_tp_as_mapping_memoryview, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  __pyx_memoryview___str__, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  &__pyx_tp_as_buffer_memoryview, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_memoryview, /*tp_traverse*/
  __pyx_tp_clear_memoryview, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_memoryview, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_memoryview, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_memoryview, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
};
static struct __pyx_vtabstruct__memoryviewslice __pyx_vtable__memoryviewslice;

static PyObject *__pyx_tp_new__memoryviewslice(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_memoryviewslice_obj *p;
  PyObject *o = __pyx_tp_new_memoryview(t, a, k);
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_memoryviewslice_obj *)o);
  p->__pyx_base.__pyx_vtab = (struct __pyx_vtabstruct_memoryview*)__pyx_vtabptr__memoryviewslice;
  p->from_object = Py_None; Py_INCREF(Py_None);
  p->from_slice.memview = NULL;
  return o;
}

static void __pyx_tp_dealloc__memoryviewslice(PyObject *o) {
  struct __pyx_memoryviewslice_obj *p = (struct __pyx_memoryviewslice_obj *)o;
  #if PY_VERSION_HEX >= 0x030400a1
  if (unlikely(Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  {
    PyObject *etype, *eval, *etb;
    PyErr_Fetch(&etype, &eval, &etb);
    ++Py_REFCNT(o);
    __pyx_memoryviewslice___dealloc__(o);
    --Py_REFCNT(o);
    PyErr_Restore(etype, eval, etb);
  }
  Py_CLEAR(p->from_object);
  PyObject_GC_Track(o);
  __pyx_tp_dealloc_memoryview(o);
}

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

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

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

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

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

static PyTypeObject __pyx_type___pyx_memoryviewslice = {
  PyVarObject_HEAD_INIT(0, 0)
  "scipy.spatial.qhull._memoryviewslice", /*tp_name*/
  sizeof(struct __pyx_memoryviewslice_obj), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc__memoryviewslice, /*tp_dealloc*/
  0, /*tp_print*/
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY
  __pyx_memoryview___repr__, /*tp_repr*/
  #else
  0, /*tp_repr*/
  #endif
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  #if CYTHON_COMPILING_IN_PYPY
  __pyx_memoryview___str__, /*tp_str*/
  #else
  0, /*tp_str*/
  #endif
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  "Internal class for passing memoryview slices to Python", /*tp_doc*/
  __pyx_tp_traverse__memoryviewslice, /*tp_traverse*/
  __pyx_tp_clear__memoryviewslice, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods__memoryviewslice, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets__memoryviewslice, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new__memoryviewslice, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
};

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

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

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  __Pyx_GIVEREF(__pyx_slice__33);
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 *     _qhull = None
 * 
 *     def __init__(self, qhull, incremental=False):             # <<<<<<<<<<<<<<
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 *                 qhull.close()
 * 
 *     def close(self):             # <<<<<<<<<<<<<<
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 *             self._qhull = None
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 *     def __del__(self):             # <<<<<<<<<<<<<<
 *         self.close()
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 */
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 *         self.close()
 * 
 *     def _update(self, qhull):             # <<<<<<<<<<<<<<
 *         self.points = qhull.get_points()
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 *         self.max_bound = self.points.max(axis=0)
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 *     def add_points(self, points, restart=False):             # <<<<<<<<<<<<<<
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 *     """
 * 
 *     def __init__(self, points, furthest_site=False, incremental=False,             # <<<<<<<<<<<<<<
 *                  qhull_options=None):
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 *         _QhullUser.__init__(self, qhull, incremental=incremental)
 * 
 *     def _update(self, qhull):             # <<<<<<<<<<<<<<
 *         qhull.triangulate()
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 */
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 * 
 *     @property
 *     def transform(self):             # <<<<<<<<<<<<<<
 *         """
 *         Affine transform from ``x`` to the barycentric coordinates ``c``.
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  /* "scipy/spatial/qhull.pyx":1796
 *     @property
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  /* "scipy/spatial/qhull.pyx":1834
 *     @property
 *     @cython.boundscheck(False)
 *     def vertex_neighbor_vertices(self):             # <<<<<<<<<<<<<<
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 *         Neighboring vertices of vertices.
 */
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 *     @property
 *     @cython.boundscheck(False)
 *     def convex_hull(self):             # <<<<<<<<<<<<<<
 *         """
 *         Vertices of facets forming the convex hull of the point set.
 */
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  /* "scipy/spatial/qhull.pyx":1937
 * 
 *     @cython.boundscheck(False)
 *     def find_simplex(self, xi, bruteforce=False, tol=None):             # <<<<<<<<<<<<<<
 *         """
 *         find_simplex(self, xi, bruteforce=False, tol=None)
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  /* "scipy/spatial/qhull.pyx":2018
 * 
 *     @cython.boundscheck(False)
 *     def plane_distance(self, xi):             # <<<<<<<<<<<<<<
 *         """
 *         plane_distance(self, xi)
 */
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  /* "scipy/spatial/qhull.pyx":2052
 *         return out.reshape(xi_shape[:-1] + (self.nsimplex,))
 * 
 *     def lift_points(self, x):             # <<<<<<<<<<<<<<
 *         """
 *         lift_points(self, x)
 */
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  /* "scipy/spatial/qhull.pyx":2067
 * 
 * 
 * def tsearch(tri, xi):             # <<<<<<<<<<<<<<
 *     """
 *     tsearch(tri, xi)
 */
  __pyx_tuple__93 = PyTuple_Pack(2, __pyx_n_s_tri, __pyx_n_s_xi); if (unlikely(!__pyx_tuple__93)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 2067; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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  /* "scipy/spatial/qhull.pyx":2230
 *     """
 * 
 *     def __init__(self, points, incremental=False, qhull_options=None):             # <<<<<<<<<<<<<<
 *         if np.ma.isMaskedArray(points):
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 * 
 */
  __pyx_t_1 = __pyx_capsule_create(((void *)(&__pyx_memoryview_getbuffer)), __pyx_k_getbuffer_obj_view_flags); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[3]; __pyx_lineno = 954; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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 */

  /*--- Wrapped vars code ---*/

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static __Pyx_RefNannyAPIStruct *__Pyx_RefNannyImportAPI(const char *modname) {
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end:
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static PyObject *__Pyx_GetBuiltinName(PyObject *name) {
    PyObject* result = __Pyx_PyObject_GetAttrStr(__pyx_b, name);
    if (unlikely(!result)) {
        PyErr_Format(PyExc_NameError,
#if PY_MAJOR_VERSION >= 3
            "name '%U' is not defined", name);
#else
            "name '%.200s' is not defined", PyString_AS_STRING(name));
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    }
    return result;
}

static void __Pyx_RaiseArgtupleInvalid(
    const char* func_name,
    int exact,
    Py_ssize_t num_min,
    Py_ssize_t num_max,
    Py_ssize_t num_found)
{
    Py_ssize_t num_expected;
    const char *more_or_less;
    if (num_found < num_min) {
        num_expected = num_min;
        more_or_less = "at least";
    } else {
        num_expected = num_max;
        more_or_less = "at most";
    }
    if (exact) {
        more_or_less = "exactly";
    }
    PyErr_Format(PyExc_TypeError,
                 "%.200s() takes %.8s %" CYTHON_FORMAT_SSIZE_T "d positional argument%.1s (%" CYTHON_FORMAT_SSIZE_T "d given)",
                 func_name, more_or_less, num_expected,
                 (num_expected == 1) ? "" : "s", num_found);
}

static CYTHON_INLINE int __Pyx_CheckKeywordStrings(
    PyObject *kwdict,
    const char* function_name,
    int kw_allowed)
{
    PyObject* key = 0;
    Py_ssize_t pos = 0;
#if CYTHON_COMPILING_IN_PYPY
    if (!kw_allowed && PyDict_Next(kwdict, &pos, &key, 0))
        goto invalid_keyword;
    return 1;
#else
    while (PyDict_Next(kwdict, &pos, &key, 0)) {
        #if PY_MAJOR_VERSION < 3
        if (unlikely(!PyString_CheckExact(key)) && unlikely(!PyString_Check(key)))
        #endif
            if (unlikely(!PyUnicode_Check(key)))
                goto invalid_keyword_type;
    }
    if ((!kw_allowed) && unlikely(key))
        goto invalid_keyword;
    return 1;
invalid_keyword_type:
    PyErr_Format(PyExc_TypeError,
        "%.200s() keywords must be strings", function_name);
    return 0;
#endif
invalid_keyword:
    PyErr_Format(PyExc_TypeError,
    #if PY_MAJOR_VERSION < 3
        "%.200s() got an unexpected keyword argument '%.200s'",
        function_name, PyString_AsString(key));
    #else
        "%s() got an unexpected keyword argument '%U'",
        function_name, key);
    #endif
    return 0;
}

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;
}

#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    PyObject *result;
    ternaryfunc call = func->ob_type->tp_call;
    if (unlikely(!call))
        return PyObject_Call(func, arg, kw);
    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
        return NULL;
    result = (*call)(func, arg, kw);
    Py_LeaveRecursiveCall();
    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
        PyErr_SetString(
            PyExc_SystemError,
            "NULL result without error in PyObject_Call");
    }
    return result;
}
#endif

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;
}

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

#if CYTHON_COMPILING_IN_CPYTHON
static PyObject* __Pyx__PyObject_CallOneArg(PyObject *func, PyObject *arg) {
    PyObject *result;
    PyObject *args = PyTuple_New(1);
    if (unlikely(!args)) return NULL;
    Py_INCREF(arg);
    PyTuple_SET_ITEM(args, 0, arg);
    result = __Pyx_PyObject_Call(func, args, NULL);
    Py_DECREF(args);
    return result;
}
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
#ifdef __Pyx_CyFunction_USED
    if (likely(PyCFunction_Check(func) || PyObject_TypeCheck(func, __pyx_CyFunctionType))) {
#else
    if (likely(PyCFunction_Check(func))) {
#endif
        if (likely(PyCFunction_GET_FLAGS(func) & METH_O)) {
            return __Pyx_PyObject_CallMethO(func, arg);
        }
    }
    return __Pyx__PyObject_CallOneArg(func, arg);
}
#else
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
    PyObject *result;
    PyObject *args = PyTuple_Pack(1, arg);
    if (unlikely(!args)) return NULL;
    result = __Pyx_PyObject_Call(func, args, NULL);
    Py_DECREF(args);
    return result;
}
#endif

#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func) {
#ifdef __Pyx_CyFunction_USED
    if (likely(PyCFunction_Check(func) || PyObject_TypeCheck(func, __pyx_CyFunctionType))) {
#else
    if (likely(PyCFunction_Check(func))) {
#endif
        if (likely(PyCFunction_GET_FLAGS(func) & METH_NOARGS)) {
            return __Pyx_PyObject_CallMethO(func, NULL);
        }
    }
    return __Pyx_PyObject_Call(func, __pyx_empty_tuple, NULL);
}
#endif

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

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 PyObject* __Pyx_decode_c_bytes(
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         const char* encoding, const char* errors,
         PyObject* (*decode_func)(const char *s, Py_ssize_t size, const char *errors)) {
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        if (start < 0) {
            start += length;
            if (start < 0)
                start = 0;
        }
        if (stop < 0)
            stop += length;
    }
    if (stop > length)
        stop = length;
    length = stop - start;
    if (unlikely(length <= 0))
        return PyUnicode_FromUnicode(NULL, 0);
    cstring += start;
    if (decode_func) {
        return decode_func(cstring, length, errors);
    } else {
        return PyUnicode_Decode(cstring, length, encoding, errors);
    }
}

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

static int
__Pyx_init_memviewslice(struct __pyx_memoryview_obj *memview,
                        int ndim,
                        __Pyx_memviewslice *memviewslice,
                        int memview_is_new_reference)
{
    __Pyx_RefNannyDeclarations
    int i, retval=-1;
    Py_buffer *buf = &memview->view;
    __Pyx_RefNannySetupContext("init_memviewslice", 0);
    if (!buf) {
        PyErr_SetString(PyExc_ValueError,
            "buf is NULL.");
        goto fail;
    } else if (memviewslice->memview || memviewslice->data) {
        PyErr_SetString(PyExc_ValueError,
            "memviewslice is already initialized!");
        goto fail;
    }
    if (buf->strides) {
        for (i = 0; i < ndim; i++) {
            memviewslice->strides[i] = buf->strides[i];
        }
    } else {
        Py_ssize_t stride = buf->itemsize;
        for (i = ndim - 1; i >= 0; i--) {
            memviewslice->strides[i] = stride;
            stride *= buf->shape[i];
        }
    }
    for (i = 0; i < ndim; i++) {
        memviewslice->shape[i]   = buf->shape[i];
        if (buf->suboffsets) {
            memviewslice->suboffsets[i] = buf->suboffsets[i];
        } else {
            memviewslice->suboffsets[i] = -1;
        }
    }
    memviewslice->memview = memview;
    memviewslice->data = (char *)buf->buf;
    if (__pyx_add_acquisition_count(memview) == 0 && !memview_is_new_reference) {
        Py_INCREF(memview);
    }
    retval = 0;
    goto no_fail;
fail:
    memviewslice->memview = 0;
    memviewslice->data = 0;
    retval = -1;
no_fail:
    __Pyx_RefNannyFinishContext();
    return retval;
}
static CYTHON_INLINE void __pyx_fatalerror(const char *fmt, ...) {
    va_list vargs;
    char msg[200];
#ifdef HAVE_STDARG_PROTOTYPES
    va_start(vargs, fmt);
#else
    va_start(vargs);
#endif
    vsnprintf(msg, 200, fmt, vargs);
    Py_FatalError(msg);
    va_end(vargs);
}
static CYTHON_INLINE int
__pyx_add_acquisition_count_locked(__pyx_atomic_int *acquisition_count,
                                   PyThread_type_lock lock)
{
    int result;
    PyThread_acquire_lock(lock, 1);
    result = (*acquisition_count)++;
    PyThread_release_lock(lock);
    return result;
}
static CYTHON_INLINE int
__pyx_sub_acquisition_count_locked(__pyx_atomic_int *acquisition_count,
                                   PyThread_type_lock lock)
{
    int result;
    PyThread_acquire_lock(lock, 1);
    result = (*acquisition_count)--;
    PyThread_release_lock(lock);
    return result;
}
static CYTHON_INLINE void
__Pyx_INC_MEMVIEW(__Pyx_memviewslice *memslice, int have_gil, int lineno)
{
    int first_time;
    struct __pyx_memoryview_obj *memview = memslice->memview;
    if (!memview || (PyObject *) memview == Py_None)
        return;
    if (__pyx_get_slice_count(memview) < 0)
        __pyx_fatalerror("Acquisition count is %d (line %d)",
                         __pyx_get_slice_count(memview), lineno);
    first_time = __pyx_add_acquisition_count(memview) == 0;
    if (first_time) {
        if (have_gil) {
            Py_INCREF((PyObject *) memview);
        } else {
            PyGILState_STATE _gilstate = PyGILState_Ensure();
            Py_INCREF((PyObject *) memview);
            PyGILState_Release(_gilstate);
        }
    }
}
static CYTHON_INLINE void __Pyx_XDEC_MEMVIEW(__Pyx_memviewslice *memslice,
                                             int have_gil, int lineno) {
    int last_time;
    struct __pyx_memoryview_obj *memview = memslice->memview;
    if (!memview ) {
        return;
    } else if ((PyObject *) memview == Py_None) {
        memslice->memview = NULL;
        return;
    }
    if (__pyx_get_slice_count(memview) <= 0)
        __pyx_fatalerror("Acquisition count is %d (line %d)",
                         __pyx_get_slice_count(memview), lineno);
    last_time = __pyx_sub_acquisition_count(memview) == 1;
    memslice->data = NULL;
    if (last_time) {
        if (have_gil) {
            Py_CLEAR(memslice->memview);
        } else {
            PyGILState_STATE _gilstate = PyGILState_Ensure();
            Py_CLEAR(memslice->memview);
            PyGILState_Release(_gilstate);
        }
    } else {
        memslice->memview = NULL;
    }
}

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

static int __Pyx_ParseOptionalKeywords(
    PyObject *kwds,
    PyObject **argnames[],
    PyObject *kwds2,
    PyObject *values[],
    Py_ssize_t num_pos_args,
    const char* function_name)
{
    PyObject *key = 0, *value = 0;
    Py_ssize_t pos = 0;
    PyObject*** name;
    PyObject*** first_kw_arg = argnames + num_pos_args;
    while (PyDict_Next(kwds, &pos, &key, &value)) {
        name = first_kw_arg;
        while (*name && (**name != key)) name++;
        if (*name) {
            values[name-argnames] = value;
            continue;
        }
        name = first_kw_arg;
        #if PY_MAJOR_VERSION < 3
        if (likely(PyString_CheckExact(key)) || likely(PyString_Check(key))) {
            while (*name) {
                if ((CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**name) == PyString_GET_SIZE(key))
                        && _PyString_Eq(**name, key)) {
                    values[name-argnames] = value;
                    break;
                }
                name++;
            }
            if (*name) continue;
            else {
                PyObject*** argname = argnames;
                while (argname != first_kw_arg) {
                    if ((**argname == key) || (
                            (CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**argname) == PyString_GET_SIZE(key))
                             && _PyString_Eq(**argname, key))) {
                        goto arg_passed_twice;
                    }
                    argname++;
                }
            }
        } else
        #endif
        if (likely(PyUnicode_Check(key))) {
            while (*name) {
                int cmp = (**name == key) ? 0 :
                #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
                    (PyUnicode_GET_SIZE(**name) != PyUnicode_GET_SIZE(key)) ? 1 :
                #endif
                    PyUnicode_Compare(**name, key);
                if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
                if (cmp == 0) {
                    values[name-argnames] = value;
                    break;
                }
                name++;
            }
            if (*name) continue;
            else {
                PyObject*** argname = argnames;
                while (argname != first_kw_arg) {
                    int cmp = (**argname == key) ? 0 :
                    #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
                        (PyUnicode_GET_SIZE(**argname) != PyUnicode_GET_SIZE(key)) ? 1 :
                    #endif
                        PyUnicode_Compare(**argname, key);
                    if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
                    if (cmp == 0) goto arg_passed_twice;
                    argname++;
                }
            }
        } else
            goto invalid_keyword_type;
        if (kwds2) {
            if (unlikely(PyDict_SetItem(kwds2, key, value))) goto bad;
        } else {
            goto invalid_keyword;
        }
    }
    return 0;
arg_passed_twice:
    __Pyx_RaiseDoubleKeywordsError(function_name, key);
    goto bad;
invalid_keyword_type:
    PyErr_Format(PyExc_TypeError,
        "%.200s() keywords must be strings", function_name);
    goto bad;
invalid_keyword:
    PyErr_Format(PyExc_TypeError,
    #if PY_MAJOR_VERSION < 3
        "%.200s() got an unexpected keyword argument '%.200s'",
        function_name, PyString_AsString(key));
    #else
        "%s() got an unexpected keyword argument '%U'",
        function_name, key);
    #endif
bad:
    return -1;
}

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

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

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

static int __Pyx_TryUnpackUnboundCMethod(__Pyx_CachedCFunction* target) {
    PyObject *method;
    method = __Pyx_PyObject_GetAttrStr(target->type, *target->method_name);
    if (unlikely(!method))
        return -1;
    target->method = method;
#if CYTHON_COMPILING_IN_CPYTHON
    #if PY_MAJOR_VERSION >= 3
    if (likely(PyObject_TypeCheck(method, &PyMethodDescr_Type)))
    #endif
    {
        PyMethodDescrObject *descr = (PyMethodDescrObject*) method;
        target->func = descr->d_method->ml_meth;
        target->flag = descr->d_method->ml_flags & (METH_VARARGS | METH_KEYWORDS | METH_O | METH_NOARGS);
    }
#endif
    return 0;
}

static PyObject* __Pyx__CallUnboundCMethod1(__Pyx_CachedCFunction* cfunc, PyObject* self, PyObject* arg){
    PyObject *args, *result = NULL;
    if (unlikely(!cfunc->method) && unlikely(__Pyx_TryUnpackUnboundCMethod(cfunc) < 0)) return NULL;
#if CYTHON_COMPILING_IN_CPYTHON
    if (cfunc->func && (cfunc->flag & METH_VARARGS)) {
        args = PyTuple_New(1);
        if (unlikely(!args)) goto bad;
        Py_INCREF(arg);
        PyTuple_SET_ITEM(args, 0, arg);
        if (cfunc->flag & METH_KEYWORDS)
            result = (*(PyCFunctionWithKeywords)cfunc->func)(self, args, NULL);
        else
            result = (*cfunc->func)(self, args);
    } else {
        args = PyTuple_New(2);
        if (unlikely(!args)) goto bad;
        Py_INCREF(self);
        PyTuple_SET_ITEM(args, 0, self);
        Py_INCREF(arg);
        PyTuple_SET_ITEM(args, 1, arg);
        result = __Pyx_PyObject_Call(cfunc->method, args, NULL);
    }
#else
    args = PyTuple_Pack(2, self, arg);
    if (unlikely(!args)) goto bad;
    result = __Pyx_PyObject_Call(cfunc->method, args, NULL);
#endif
bad:
    Py_XDECREF(args);
    return result;
}

static CYTHON_INLINE int __Pyx_PySet_Update(PyObject* set, PyObject* it) {
    PyObject *retval;
    #if CYTHON_COMPILING_IN_CPYTHON
    if (PyAnySet_Check(it)) {
        if (PySet_GET_SIZE(it) == 0)
            return 0;
        retval = PySet_Type.tp_as_number->nb_inplace_or(set, it);
        if (likely(retval == set)) {
            Py_DECREF(retval);
            return 0;
        }
        if (unlikely(!retval))
            return -1;
        Py_DECREF(retval);
    }
    #endif
    retval = __Pyx_CallUnboundCMethod1(&__pyx_umethod_PySet_Type_update, set, it);
    if (unlikely(!retval)) return -1;
    Py_DECREF(retval);
    return 0;
}

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

#if !CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyBytes_Join(PyObject* sep, PyObject* values) {
    return PyObject_CallMethodObjArgs(sep, __pyx_n_s_join, values, NULL);
}
#endif

static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j) {
    PyObject *r;
    if (!j) return NULL;
    r = PyObject_GetItem(o, j);
    Py_DECREF(j);
    return r;
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i,
                                                              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));
}

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

#if CYTHON_COMPILING_IN_CPYTHON
static PyObject* __Pyx_PyInt_EqObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, CYTHON_UNUSED int inplace) {
    if (op1 == op2) {
        Py_RETURN_TRUE;
    }
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long a = PyInt_AS_LONG(op1);
        if (a == b) {
            Py_RETURN_TRUE;
        } else {
            Py_RETURN_FALSE;
        }
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS && PY_MAJOR_VERSION >= 3
    if (likely(PyLong_CheckExact(op1))) {
        const long b = intval;
        long a;
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op1);
        if (likely(__Pyx_sst_abs(size) <= 1)) {
            a = likely(size) ? digits[0] : 0;
            if (size == -1) a = -a;
        } else {
            switch (size) {
                case -2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                case 2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                case -3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                case 3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                case -4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                case 4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                #if PyLong_SHIFT < 30 && PyLong_SHIFT != 15
                default: return PyLong_Type.tp_richcompare(op1, op2, Py_EQ);
                #else
                default: Py_RETURN_FALSE;
                #endif
            }
        }
            if (a == b) {
                Py_RETURN_TRUE;
            } else {
                Py_RETURN_FALSE;
            }
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
        double a = PyFloat_AS_DOUBLE(op1);
            if ((double)a == (double)b) {
                Py_RETURN_TRUE;
            } else {
                Py_RETURN_FALSE;
            }
    }
    return PyObject_RichCompare(op1, op2, Py_EQ);
}
#endif

static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb) {
    PyObject *local_type, *local_value, *local_tb;
#if CYTHON_COMPILING_IN_CPYTHON
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    PyThreadState *tstate = PyThreadState_GET();
    local_type = tstate->curexc_type;
    local_value = tstate->curexc_value;
    local_tb = tstate->curexc_traceback;
    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
#else
    PyErr_Fetch(&local_type, &local_value, &local_tb);
#endif
    PyErr_NormalizeException(&local_type, &local_value, &local_tb);
#if CYTHON_COMPILING_IN_CPYTHON
    if (unlikely(tstate->curexc_type))
#else
    if (unlikely(PyErr_Occurred()))
#endif
        goto bad;
    #if PY_MAJOR_VERSION >= 3
    if (local_tb) {
        if (unlikely(PyException_SetTraceback(local_value, local_tb) < 0))
            goto bad;
    }
    #endif
    Py_XINCREF(local_tb);
    Py_XINCREF(local_type);
    Py_XINCREF(local_value);
    *type = local_type;
    *value = local_value;
    *tb = local_tb;
#if CYTHON_COMPILING_IN_CPYTHON
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = local_type;
    tstate->exc_value = local_value;
    tstate->exc_traceback = local_tb;
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
#else
    PyErr_SetExcInfo(local_type, local_value, local_tb);
#endif
    return 0;
bad:
    *type = 0;
    *value = 0;
    *tb = 0;
    Py_XDECREF(local_type);
    Py_XDECREF(local_value);
    Py_XDECREF(local_tb);
    return -1;
}

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

static CYTHON_INLINE void __Pyx_ExceptionSave(PyObject **type, PyObject **value, PyObject **tb) {
#if CYTHON_COMPILING_IN_CPYTHON
    PyThreadState *tstate = PyThreadState_GET();
    *type = tstate->exc_type;
    *value = tstate->exc_value;
    *tb = tstate->exc_traceback;
    Py_XINCREF(*type);
    Py_XINCREF(*value);
    Py_XINCREF(*tb);
#else
    PyErr_GetExcInfo(type, value, tb);
#endif
}
static void __Pyx_ExceptionReset(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->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = type;
    tstate->exc_value = value;
    tstate->exc_traceback = tb;
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
#else
    PyErr_SetExcInfo(type, value, tb);
#endif
}

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

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

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

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

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

static CYTHON_INLINE PyObject *__Pyx_GetAttr(PyObject *o, PyObject *n) {
#if CYTHON_COMPILING_IN_CPYTHON
#if PY_MAJOR_VERSION >= 3
    if (likely(PyUnicode_Check(n)))
#else
    if (likely(PyString_Check(n)))
#endif
        return __Pyx_PyObject_GetAttrStr(o, n);
#endif
    return PyObject_GetAttr(o, n);
}

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

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

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

static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name) {
    PyObject* value = __Pyx_PyObject_GetAttrStr(module, name);
    if (unlikely(!value) && PyErr_ExceptionMatches(PyExc_AttributeError)) {
        PyErr_Format(PyExc_ImportError,
        #if PY_MAJOR_VERSION < 3
            "cannot import name %.230s", PyString_AS_STRING(name));
        #else
            "cannot import name %S", name);
        #endif
    }
    return value;
}

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

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

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

static PyObject *
__Pyx_CyFunction_get_doc(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *closure)
{
    if (unlikely(op->func_doc == NULL)) {
        if (op->func.m_ml->ml_doc) {
#if PY_MAJOR_VERSION >= 3
            op->func_doc = PyUnicode_FromString(op->func.m_ml->ml_doc);
#else
            op->func_doc = PyString_FromString(op->func.m_ml->ml_doc);
#endif
            if (unlikely(op->func_doc == NULL))
                return NULL;
        } else {
            Py_INCREF(Py_None);
            return Py_None;
        }
    }
    Py_INCREF(op->func_doc);
    return op->func_doc;
}
static int
__Pyx_CyFunction_set_doc(__pyx_CyFunctionObject *op, PyObject *value)
{
    PyObject *tmp = op->func_doc;
    if (value == NULL) {
        value = Py_None;
    }
    Py_INCREF(value);
    op->func_doc = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_name(__pyx_CyFunctionObject *op)
{
    if (unlikely(op->func_name == NULL)) {
#if PY_MAJOR_VERSION >= 3
        op->func_name = PyUnicode_InternFromString(op->func.m_ml->ml_name);
#else
        op->func_name = PyString_InternFromString(op->func.m_ml->ml_name);
#endif
        if (unlikely(op->func_name == NULL))
            return NULL;
    }
    Py_INCREF(op->func_name);
    return op->func_name;
}
static int
__Pyx_CyFunction_set_name(__pyx_CyFunctionObject *op, PyObject *value)
{
    PyObject *tmp;
#if PY_MAJOR_VERSION >= 3
    if (unlikely(value == NULL || !PyUnicode_Check(value))) {
#else
    if (unlikely(value == NULL || !PyString_Check(value))) {
#endif
        PyErr_SetString(PyExc_TypeError,
                        "__name__ must be set to a string object");
        return -1;
    }
    tmp = op->func_name;
    Py_INCREF(value);
    op->func_name = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_qualname(__pyx_CyFunctionObject *op)
{
    Py_INCREF(op->func_qualname);
    return op->func_qualname;
}
static int
__Pyx_CyFunction_set_qualname(__pyx_CyFunctionObject *op, PyObject *value)
{
    PyObject *tmp;
#if PY_MAJOR_VERSION >= 3
    if (unlikely(value == NULL || !PyUnicode_Check(value))) {
#else
    if (unlikely(value == NULL || !PyString_Check(value))) {
#endif
        PyErr_SetString(PyExc_TypeError,
                        "__qualname__ must be set to a string object");
        return -1;
    }
    tmp = op->func_qualname;
    Py_INCREF(value);
    op->func_qualname = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_self(__pyx_CyFunctionObject *m, CYTHON_UNUSED void *closure)
{
    PyObject *self;
    self = m->func_closure;
    if (self == NULL)
        self = Py_None;
    Py_INCREF(self);
    return self;
}
static PyObject *
__Pyx_CyFunction_get_dict(__pyx_CyFunctionObject *op)
{
    if (unlikely(op->func_dict == NULL)) {
        op->func_dict = PyDict_New();
        if (unlikely(op->func_dict == NULL))
            return NULL;
    }
    Py_INCREF(op->func_dict);
    return op->func_dict;
}
static int
__Pyx_CyFunction_set_dict(__pyx_CyFunctionObject *op, PyObject *value)
{
    PyObject *tmp;
    if (unlikely(value == NULL)) {
        PyErr_SetString(PyExc_TypeError,
               "function's dictionary may not be deleted");
        return -1;
    }
    if (unlikely(!PyDict_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
               "setting function's dictionary to a non-dict");
        return -1;
    }
    tmp = op->func_dict;
    Py_INCREF(value);
    op->func_dict = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_globals(__pyx_CyFunctionObject *op)
{
    Py_INCREF(op->func_globals);
    return op->func_globals;
}
static PyObject *
__Pyx_CyFunction_get_closure(CYTHON_UNUSED __pyx_CyFunctionObject *op)
{
    Py_INCREF(Py_None);
    return Py_None;
}
static PyObject *
__Pyx_CyFunction_get_code(__pyx_CyFunctionObject *op)
{
    PyObject* result = (op->func_code) ? op->func_code : Py_None;
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_init_defaults(__pyx_CyFunctionObject *op) {
    int result = 0;
    PyObject *res = op->defaults_getter((PyObject *) op);
    if (unlikely(!res))
        return -1;
    #if CYTHON_COMPILING_IN_CPYTHON
    op->defaults_tuple = PyTuple_GET_ITEM(res, 0);
    Py_INCREF(op->defaults_tuple);
    op->defaults_kwdict = PyTuple_GET_ITEM(res, 1);
    Py_INCREF(op->defaults_kwdict);
    #else
    op->defaults_tuple = PySequence_ITEM(res, 0);
    if (unlikely(!op->defaults_tuple)) result = -1;
    else {
        op->defaults_kwdict = PySequence_ITEM(res, 1);
        if (unlikely(!op->defaults_kwdict)) result = -1;
    }
    #endif
    Py_DECREF(res);
    return result;
}
static int
__Pyx_CyFunction_set_defaults(__pyx_CyFunctionObject *op, PyObject* value) {
    PyObject* tmp;
    if (!value) {
        value = Py_None;
    } else if (value != Py_None && !PyTuple_Check(value)) {
        PyErr_SetString(PyExc_TypeError,
                        "__defaults__ must be set to a tuple object");
        return -1;
    }
    Py_INCREF(value);
    tmp = op->defaults_tuple;
    op->defaults_tuple = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_defaults(__pyx_CyFunctionObject *op) {
    PyObject* result = op->defaults_tuple;
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (__Pyx_CyFunction_init_defaults(op) < 0) return NULL;
            result = op->defaults_tuple;
        } else {
            result = Py_None;
        }
    }
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_set_kwdefaults(__pyx_CyFunctionObject *op, PyObject* value) {
    PyObject* tmp;
    if (!value) {
        value = Py_None;
    } else if (value != Py_None && !PyDict_Check(value)) {
        PyErr_SetString(PyExc_TypeError,
                        "__kwdefaults__ must be set to a dict object");
        return -1;
    }
    Py_INCREF(value);
    tmp = op->defaults_kwdict;
    op->defaults_kwdict = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_kwdefaults(__pyx_CyFunctionObject *op) {
    PyObject* result = op->defaults_kwdict;
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (__Pyx_CyFunction_init_defaults(op) < 0) return NULL;
            result = op->defaults_kwdict;
        } else {
            result = Py_None;
        }
    }
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_set_annotations(__pyx_CyFunctionObject *op, PyObject* value) {
    PyObject* tmp;
    if (!value || value == Py_None) {
        value = NULL;
    } else if (!PyDict_Check(value)) {
        PyErr_SetString(PyExc_TypeError,
                        "__annotations__ must be set to a dict object");
        return -1;
    }
    Py_XINCREF(value);
    tmp = op->func_annotations;
    op->func_annotations = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_annotations(__pyx_CyFunctionObject *op) {
    PyObject* result = op->func_annotations;
    if (unlikely(!result)) {
        result = PyDict_New();
        if (unlikely(!result)) return NULL;
        op->func_annotations = result;
    }
    Py_INCREF(result);
    return result;
}
static PyGetSetDef __pyx_CyFunction_getsets[] = {
    {(char *) "func_doc", (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {(char *) "__doc__",  (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {(char *) "func_name", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {(char *) "__name__", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {(char *) "__qualname__", (getter)__Pyx_CyFunction_get_qualname, (setter)__Pyx_CyFunction_set_qualname, 0, 0},
    {(char *) "__self__", (getter)__Pyx_CyFunction_get_self, 0, 0, 0},
    {(char *) "func_dict", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},
    {(char *) "__dict__", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},
    {(char *) "func_globals", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {(char *) "__globals__", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {(char *) "func_closure", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {(char *) "__closure__", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {(char *) "func_code", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {(char *) "__code__", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {(char *) "func_defaults", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {(char *) "__defaults__", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {(char *) "__kwdefaults__", (getter)__Pyx_CyFunction_get_kwdefaults, (setter)__Pyx_CyFunction_set_kwdefaults, 0, 0},
    {(char *) "__annotations__", (getter)__Pyx_CyFunction_get_annotations, (setter)__Pyx_CyFunction_set_annotations, 0, 0},
    {0, 0, 0, 0, 0}
};
static PyMemberDef __pyx_CyFunction_members[] = {
    {(char *) "__module__", T_OBJECT, offsetof(__pyx_CyFunctionObject, func.m_module), PY_WRITE_RESTRICTED, 0},
    {0, 0, 0,  0, 0}
};
static PyObject *
__Pyx_CyFunction_reduce(__pyx_CyFunctionObject *m, CYTHON_UNUSED PyObject *args)
{
#if PY_MAJOR_VERSION >= 3
    return PyUnicode_FromString(m->func.m_ml->ml_name);
#else
    return PyString_FromString(m->func.m_ml->ml_name);
#endif
}
static PyMethodDef __pyx_CyFunction_methods[] = {
    {"__reduce__", (PyCFunction)__Pyx_CyFunction_reduce, METH_VARARGS, 0},
    {0, 0, 0, 0}
};
#if PY_VERSION_HEX < 0x030500A0
#define __Pyx_CyFunction_weakreflist(cyfunc) ((cyfunc)->func_weakreflist)
#else
#define __Pyx_CyFunction_weakreflist(cyfunc) ((cyfunc)->func.m_weakreflist)
#endif
static PyObject *__Pyx_CyFunction_New(PyTypeObject *type, PyMethodDef *ml, int flags, PyObject* qualname,
                                      PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {
    __pyx_CyFunctionObject *op = PyObject_GC_New(__pyx_CyFunctionObject, type);
    if (op == NULL)
        return NULL;
    op->flags = flags;
    __Pyx_CyFunction_weakreflist(op) = NULL;
    op->func.m_ml = ml;
    op->func.m_self = (PyObject *) op;
    Py_XINCREF(closure);
    op->func_closure = closure;
    Py_XINCREF(module);
    op->func.m_module = module;
    op->func_dict = NULL;
    op->func_name = NULL;
    Py_INCREF(qualname);
    op->func_qualname = qualname;
    op->func_doc = NULL;
    op->func_classobj = NULL;
    op->func_globals = globals;
    Py_INCREF(op->func_globals);
    Py_XINCREF(code);
    op->func_code = code;
    op->defaults_pyobjects = 0;
    op->defaults = NULL;
    op->defaults_tuple = NULL;
    op->defaults_kwdict = NULL;
    op->defaults_getter = NULL;
    op->func_annotations = NULL;
    PyObject_GC_Track(op);
    return (PyObject *) op;
}
static int
__Pyx_CyFunction_clear(__pyx_CyFunctionObject *m)
{
    Py_CLEAR(m->func_closure);
    Py_CLEAR(m->func.m_module);
    Py_CLEAR(m->func_dict);
    Py_CLEAR(m->func_name);
    Py_CLEAR(m->func_qualname);
    Py_CLEAR(m->func_doc);
    Py_CLEAR(m->func_globals);
    Py_CLEAR(m->func_code);
    Py_CLEAR(m->func_classobj);
    Py_CLEAR(m->defaults_tuple);
    Py_CLEAR(m->defaults_kwdict);
    Py_CLEAR(m->func_annotations);
    if (m->defaults) {
        PyObject **pydefaults = __Pyx_CyFunction_Defaults(PyObject *, m);
        int i;
        for (i = 0; i < m->defaults_pyobjects; i++)
            Py_XDECREF(pydefaults[i]);
        PyMem_Free(m->defaults);
        m->defaults = NULL;
    }
    return 0;
}
static void __Pyx_CyFunction_dealloc(__pyx_CyFunctionObject *m)
{
    PyObject_GC_UnTrack(m);
    if (__Pyx_CyFunction_weakreflist(m) != NULL)
        PyObject_ClearWeakRefs((PyObject *) m);
    __Pyx_CyFunction_clear(m);
    PyObject_GC_Del(m);
}
static int __Pyx_CyFunction_traverse(__pyx_CyFunctionObject *m, visitproc visit, void *arg)
{
    Py_VISIT(m->func_closure);
    Py_VISIT(m->func.m_module);
    Py_VISIT(m->func_dict);
    Py_VISIT(m->func_name);
    Py_VISIT(m->func_qualname);
    Py_VISIT(m->func_doc);
    Py_VISIT(m->func_globals);
    Py_VISIT(m->func_code);
    Py_VISIT(m->func_classobj);
    Py_VISIT(m->defaults_tuple);
    Py_VISIT(m->defaults_kwdict);
    if (m->defaults) {
        PyObject **pydefaults = __Pyx_CyFunction_Defaults(PyObject *, m);
        int i;
        for (i = 0; i < m->defaults_pyobjects; i++)
            Py_VISIT(pydefaults[i]);
    }
    return 0;
}
static PyObject *__Pyx_CyFunction_descr_get(PyObject *func, PyObject *obj, PyObject *type)
{
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    if (m->flags & __Pyx_CYFUNCTION_STATICMETHOD) {
        Py_INCREF(func);
        return func;
    }
    if (m->flags & __Pyx_CYFUNCTION_CLASSMETHOD) {
        if (type == NULL)
            type = (PyObject *)(Py_TYPE(obj));
        return __Pyx_PyMethod_New(func, type, (PyObject *)(Py_TYPE(type)));
    }
    if (obj == Py_None)
        obj = NULL;
    return __Pyx_PyMethod_New(func, obj, type);
}
static PyObject*
__Pyx_CyFunction_repr(__pyx_CyFunctionObject *op)
{
#if PY_MAJOR_VERSION >= 3
    return PyUnicode_FromFormat("<cyfunction %U at %p>",
                                op->func_qualname, (void *)op);
#else
    return PyString_FromFormat("<cyfunction %s at %p>",
                               PyString_AsString(op->func_qualname), (void *)op);
#endif
}
#if CYTHON_COMPILING_IN_PYPY
static PyObject * __Pyx_CyFunction_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    PyCFunctionObject* f = (PyCFunctionObject*)func;
    PyCFunction meth = f->m_ml->ml_meth;
    PyObject *self = f->m_self;
    Py_ssize_t size;
    switch (f->m_ml->ml_flags & (METH_VARARGS | METH_KEYWORDS | METH_NOARGS | METH_O)) {
    case METH_VARARGS:
        if (likely(kw == NULL || PyDict_Size(kw) == 0))
            return (*meth)(self, arg);
        break;
    case METH_VARARGS | METH_KEYWORDS:
        return (*(PyCFunctionWithKeywords)meth)(self, arg, kw);
    case METH_NOARGS:
        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
            size = PyTuple_GET_SIZE(arg);
            if (likely(size == 0))
                return (*meth)(self, NULL);
            PyErr_Format(PyExc_TypeError,
                "%.200s() takes no arguments (%" CYTHON_FORMAT_SSIZE_T "d given)",
                f->m_ml->ml_name, size);
            return NULL;
        }
        break;
    case METH_O:
        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
            size = PyTuple_GET_SIZE(arg);
            if (likely(size == 1)) {
                PyObject *result, *arg0 = PySequence_ITEM(arg, 0);
                if (unlikely(!arg0)) return NULL;
                result = (*meth)(self, arg0);
                Py_DECREF(arg0);
                return result;
            }
            PyErr_Format(PyExc_TypeError,
                "%.200s() takes exactly one argument (%" CYTHON_FORMAT_SSIZE_T "d given)",
                f->m_ml->ml_name, size);
            return NULL;
        }
        break;
    default:
        PyErr_SetString(PyExc_SystemError, "Bad call flags in "
                        "__Pyx_CyFunction_Call. METH_OLDARGS is no "
                        "longer supported!");
        return NULL;
    }
    PyErr_Format(PyExc_TypeError, "%.200s() takes no keyword arguments",
                 f->m_ml->ml_name);
    return NULL;
}
#else
static PyObject * __Pyx_CyFunction_Call(PyObject *func, PyObject *arg, PyObject *kw) {
	return PyCFunction_Call(func, arg, kw);
}
#endif
static PyTypeObject __pyx_CyFunctionType_type = {
    PyVarObject_HEAD_INIT(0, 0)
    "cython_function_or_method",
    sizeof(__pyx_CyFunctionObject),
    0,
    (destructor) __Pyx_CyFunction_dealloc,
    0,
    0,
    0,
#if PY_MAJOR_VERSION < 3
    0,
#else
    0,
#endif
    (reprfunc) __Pyx_CyFunction_repr,
    0,
    0,
    0,
    0,
    __Pyx_CyFunction_Call,
    0,
    0,
    0,
    0,
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC,
    0,
    (traverseproc) __Pyx_CyFunction_traverse,
    (inquiry) __Pyx_CyFunction_clear,
    0,
#if PY_VERSION_HEX < 0x030500A0
    offsetof(__pyx_CyFunctionObject, func_weakreflist),
#else
    offsetof(PyCFunctionObject, m_weakreflist),
#endif
    0,
    0,
    __pyx_CyFunction_methods,
    __pyx_CyFunction_members,
    __pyx_CyFunction_getsets,
    0,
    0,
    __Pyx_CyFunction_descr_get,
    0,
    offsetof(__pyx_CyFunctionObject, func_dict),
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
#if PY_VERSION_HEX >= 0x030400a1
    0,
#endif
};
static int __pyx_CyFunction_init(void) {
#if !CYTHON_COMPILING_IN_PYPY
    __pyx_CyFunctionType_type.tp_call = PyCFunction_Call;
#endif
    __pyx_CyFunctionType = __Pyx_FetchCommonType(&__pyx_CyFunctionType_type);
    if (__pyx_CyFunctionType == NULL) {
        return -1;
    }
    return 0;
}
static CYTHON_INLINE void *__Pyx_CyFunction_InitDefaults(PyObject *func, size_t size, int pyobjects) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults = PyMem_Malloc(size);
    if (!m->defaults)
        return PyErr_NoMemory();
    memset(m->defaults, 0, size);
    m->defaults_pyobjects = pyobjects;
    return m->defaults;
}
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *func, PyObject *tuple) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults_tuple = tuple;
    Py_INCREF(tuple);
}
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *func, PyObject *dict) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults_kwdict = dict;
    Py_INCREF(dict);
}
static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *func, PyObject *dict) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->func_annotations = dict;
    Py_INCREF(dict);
}

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

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

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


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

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

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

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

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

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

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

#if CYTHON_CCOMPLEX
#else
    static CYTHON_INLINE int __Pyx_c_eqf(__pyx_t_float_complex a, __pyx_t_float_complex b) {
       return (a.real == b.real) && (a.imag == b.imag);
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sumf(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real + b.real;
        z.imag = a.imag + b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_difff(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real - b.real;
        z.imag = a.imag - b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prodf(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real * b.real - a.imag * b.imag;
        z.imag = a.real * b.imag + a.imag * b.real;
        return z;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quotf(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        float denom = b.real * b.real + b.imag * b.imag;
        z.real = (a.real * b.real + a.imag * b.imag) / denom;
        z.imag = (a.imag * b.real - a.real * b.imag) / denom;
        return z;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_negf(__pyx_t_float_complex a) {
        __pyx_t_float_complex z;
        z.real = -a.real;
        z.imag = -a.imag;
        return z;
    }
    static CYTHON_INLINE int __Pyx_c_is_zerof(__pyx_t_float_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conjf(__pyx_t_float_complex a) {
        __pyx_t_float_complex z;
        z.real =  a.real;
        z.imag = -a.imag;
        return z;
    }
    #if 1
        static CYTHON_INLINE float __Pyx_c_absf(__pyx_t_float_complex z) {
          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
            return sqrtf(z.real*z.real + z.imag*z.imag);
          #else
            return hypotf(z.real, z.imag);
          #endif
        }
        static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_powf(__pyx_t_float_complex a, __pyx_t_float_complex b) {
            __pyx_t_float_complex z;
            float r, lnr, theta, z_r, z_theta;
            if (b.imag == 0 && b.real == (int)b.real) {
                if (b.real < 0) {
                    float denom = a.real * a.real + a.imag * a.imag;
                    a.real = a.real / denom;
                    a.imag = -a.imag / denom;
                    b.real = -b.real;
                }
                switch ((int)b.real) {
                    case 0:
                        z.real = 1;
                        z.imag = 0;
                        return z;
                    case 1:
                        return a;
                    case 2:
                        z = __Pyx_c_prodf(a, a);
                        return __Pyx_c_prodf(a, a);
                    case 3:
                        z = __Pyx_c_prodf(a, a);
                        return __Pyx_c_prodf(z, a);
                    case 4:
                        z = __Pyx_c_prodf(a, a);
                        return __Pyx_c_prodf(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                }
                r = a.real;
                theta = 0;
            } else {
                r = __Pyx_c_absf(a);
                theta = atan2f(a.imag, a.real);
            }
            lnr = logf(r);
            z_r = expf(lnr * b.real - theta * b.imag);
            z_theta = theta * b.real + lnr * b.imag;
            z.real = z_r * cosf(z_theta);
            z.imag = z_r * sinf(z_theta);
            return z;
        }
    #endif
#endif

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

#if CYTHON_CCOMPLEX
#else
    static CYTHON_INLINE int __Pyx_c_eq(__pyx_t_double_complex a, __pyx_t_double_complex b) {
       return (a.real == b.real) && (a.imag == b.imag);
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real + b.real;
        z.imag = a.imag + b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real - b.real;
        z.imag = a.imag - b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real * b.real - a.imag * b.imag;
        z.imag = a.real * b.imag + a.imag * b.real;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        double denom = b.real * b.real + b.imag * b.imag;
        z.real = (a.real * b.real + a.imag * b.imag) / denom;
        z.imag = (a.imag * b.real - a.real * b.imag) / denom;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg(__pyx_t_double_complex a) {
        __pyx_t_double_complex z;
        z.real = -a.real;
        z.imag = -a.imag;
        return z;
    }
    static CYTHON_INLINE int __Pyx_c_is_zero(__pyx_t_double_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj(__pyx_t_double_complex a) {
        __pyx_t_double_complex z;
        z.real =  a.real;
        z.imag = -a.imag;
        return z;
    }
    #if 1
        static CYTHON_INLINE double __Pyx_c_abs(__pyx_t_double_complex z) {
          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
            return sqrt(z.real*z.real + z.imag*z.imag);
          #else
            return hypot(z.real, z.imag);
          #endif
        }
        static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow(__pyx_t_double_complex a, __pyx_t_double_complex b) {
            __pyx_t_double_complex z;
            double r, lnr, theta, z_r, z_theta;
            if (b.imag == 0 && b.real == (int)b.real) {
                if (b.real < 0) {
                    double denom = a.real * a.real + a.imag * a.imag;
                    a.real = a.real / denom;
                    a.imag = -a.imag / denom;
                    b.real = -b.real;
                }
                switch ((int)b.real) {
                    case 0:
                        z.real = 1;
                        z.imag = 0;
                        return z;
                    case 1:
                        return a;
                    case 2:
                        z = __Pyx_c_prod(a, a);
                        return __Pyx_c_prod(a, a);
                    case 3:
                        z = __Pyx_c_prod(a, a);
                        return __Pyx_c_prod(z, a);
                    case 4:
                        z = __Pyx_c_prod(a, a);
                        return __Pyx_c_prod(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                }
                r = a.real;
                theta = 0;
            } else {
                r = __Pyx_c_abs(a);
                theta = atan2(a.imag, a.real);
            }
            lnr = log(r);
            z_r = exp(lnr * b.real - theta * b.imag);
            z_theta = theta * b.real + lnr * b.imag;
            z.real = z_r * cos(z_theta);
            z.imag = z_r * sin(z_theta);
            return z;
        }
    #endif
#endif

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

static int
__pyx_memviewslice_is_contig(const __Pyx_memviewslice *mvs,
                             char order, int ndim)
{
    int i, index, step, start;
    Py_ssize_t itemsize = mvs->memview->view.itemsize;
    if (order == 'F') {
        step = 1;
        start = 0;
    } else {
        step = -1;
        start = ndim - 1;
    }
    for (i = 0; i < ndim; i++) {
        index = start + step * i;
        if (mvs->suboffsets[index] >= 0 || mvs->strides[index] != itemsize)
            return 0;
        itemsize *= mvs->shape[index];
    }
    return 1;
}

static void
__pyx_get_array_memory_extents(__Pyx_memviewslice *slice,
                               void **out_start, void **out_end,
                               int ndim, size_t itemsize)
{
    char *start, *end;
    int i;
    start = end = slice->data;
    for (i = 0; i < ndim; i++) {
        Py_ssize_t stride = slice->strides[i];
        Py_ssize_t extent = slice->shape[i];
        if (extent == 0) {
            *out_start = *out_end = start;
            return;
        } else {
            if (stride > 0)
                end += stride * (extent - 1);
            else
                start += stride * (extent - 1);
        }
    }
    *out_start = start;
    *out_end = end + itemsize;
}
static int
__pyx_slices_overlap(__Pyx_memviewslice *slice1,
                     __Pyx_memviewslice *slice2,
                     int ndim, size_t itemsize)
{
    void *start1, *end1, *start2, *end2;
    __pyx_get_array_memory_extents(slice1, &start1, &end1, ndim, itemsize);
    __pyx_get_array_memory_extents(slice2, &start2, &end2, ndim, itemsize);
    return (start1 < end2) && (start2 < end1);
}

static __Pyx_memviewslice
__pyx_memoryview_copy_new_contig(const __Pyx_memviewslice *from_mvs,
                                 const char *mode, int ndim,
                                 size_t sizeof_dtype, int contig_flag,
                                 int dtype_is_object)
{
    __Pyx_RefNannyDeclarations
    int i;
    __Pyx_memviewslice new_mvs = { 0, 0, { 0 }, { 0 }, { 0 } };
    struct __pyx_memoryview_obj *from_memview = from_mvs->memview;
    Py_buffer *buf = &from_memview->view;
    PyObject *shape_tuple = NULL;
    PyObject *temp_int = NULL;
    struct __pyx_array_obj *array_obj = NULL;
    struct __pyx_memoryview_obj *memview_obj = NULL;
    __Pyx_RefNannySetupContext("__pyx_memoryview_copy_new_contig", 0);
    for (i = 0; i < ndim; i++) {
        if (from_mvs->suboffsets[i] >= 0) {
            PyErr_Format(PyExc_ValueError, "Cannot copy memoryview slice with "
                                           "indirect dimensions (axis %d)", i);
            goto fail;
        }
    }
    shape_tuple = PyTuple_New(ndim);
    if (unlikely(!shape_tuple)) {
        goto fail;
    }
    __Pyx_GOTREF(shape_tuple);
    for(i = 0; i < ndim; i++) {
        temp_int = PyInt_FromSsize_t(from_mvs->shape[i]);
        if(unlikely(!temp_int)) {
            goto fail;
        } else {
            PyTuple_SET_ITEM(shape_tuple, i, temp_int);
            temp_int = NULL;
        }
    }
    array_obj = __pyx_array_new(shape_tuple, sizeof_dtype, buf->format, (char *) mode, NULL);
    if (unlikely(!array_obj)) {
        goto fail;
    }
    __Pyx_GOTREF(array_obj);
    memview_obj = (struct __pyx_memoryview_obj *) __pyx_memoryview_new(
                                    (PyObject *) array_obj, contig_flag,
                                    dtype_is_object,
                                    from_mvs->memview->typeinfo);
    if (unlikely(!memview_obj))
        goto fail;
    if (unlikely(__Pyx_init_memviewslice(memview_obj, ndim, &new_mvs, 1) < 0))
        goto fail;
    if (unlikely(__pyx_memoryview_copy_contents(*from_mvs, new_mvs, ndim, ndim,
                                                dtype_is_object) < 0))
        goto fail;
    goto no_fail;
fail:
    __Pyx_XDECREF(new_mvs.memview);
    new_mvs.memview = NULL;
    new_mvs.data = NULL;
no_fail:
    __Pyx_XDECREF(shape_tuple);
    __Pyx_XDECREF(temp_int);
    __Pyx_XDECREF(array_obj);
    __Pyx_RefNannyFinishContext();
    return new_mvs;
}

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

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

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

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

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

static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dc_nn___pyx_t_5numpy_uint8_t(PyObject *obj) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT | PyBUF_WRITABLE), 1,
                                                 &__Pyx_TypeInfo_nn___pyx_t_5numpy_uint8_t, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

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

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

static int __Pyx_ExportFunction(const char *name, void (*f)(void), const char *sig) {
    PyObject *d = 0;
    PyObject *cobj = 0;
    union {
        void (*fp)(void);
        void *p;
    } tmp;
    d = PyObject_GetAttrString(__pyx_m, (char *)"__pyx_capi__");
    if (!d) {
        PyErr_Clear();
        d = PyDict_New();
        if (!d)
            goto bad;
        Py_INCREF(d);
        if (PyModule_AddObject(__pyx_m, (char *)"__pyx_capi__", d) < 0)
            goto bad;
    }
    tmp.fp = f;
#if PY_VERSION_HEX >= 0x02070000
    cobj = PyCapsule_New(tmp.p, sig, 0);
#else
    cobj = PyCObject_FromVoidPtrAndDesc(tmp.p, (void *)sig, 0);
#endif
    if (!cobj)
        goto bad;
    if (PyDict_SetItemString(d, name, cobj) < 0)
        goto bad;
    Py_DECREF(cobj);
    Py_DECREF(d);
    return 0;
bad:
    Py_XDECREF(cobj);
    Py_XDECREF(d);
    return -1;
}

#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 */
